Subgroups — D₅₃×#3514 #28292174

Order 13568.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288679	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288678	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288677	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288676	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288675	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288674	C₂	1	2	yes	maximal, complemented
7	#20288673	C₂	1	2	yes	maximal, complemented
8	#20288672	C₂	1	2	yes	maximal, complemented
9	#20288671	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288670	C₂	1	2	yes	maximal, complemented
11	#20288669	C₂	1	2	yes	maximal, complemented
12	#20288668	C₂	1	4	yes	maximal, complemented
13	#20288667	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288666	C₂	1	2	yes	maximal, complemented
15	#20288665	C₂	1	4	yes	maximal, complemented
16	#20288664	C₂	1	2	yes	maximal, complemented
17	#20288663	C₂	1	2	yes	maximal, complemented
18	#559×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#556×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#555×D₅₃	C₂	1	2	yes	maximal, complemented
21	#551×D₅₃	C₂	1	4	yes	maximal, complemented
22	D₄×Q₈×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#548×D₅₃	C₂	1	2	yes	maximal, complemented
24	#546×D₅₃	C₂	1	2	yes	maximal, complemented
25	#546×D₅₃	C₂	1	2	yes	maximal, complemented
26	D₄²×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#542×D₅₃	C₂	1	2	yes	maximal, complemented
28	#538×D₅₃	C₂	1	4	yes	maximal, complemented
29	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#529×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	#529×D₅₃	C₂	1	2	yes	maximal, complemented
32	C₂×#124×D₅₃	C₂	1	2	yes	maximal, complemented
33	#518×D₅₃	C₂	1	2	yes	maximal, complemented
34	C₄×#41×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
37	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
38	C₂²×Q₈×D₅₃	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
40	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
41	#16811359	C₂²	1	1	yes	characteristic, complemented
42	#16811358	C₂²	1	1	yes	characteristic, complemented
43	#16811358	C₂²	1	1	yes	characteristic, complemented
44	#16811357	C₂²	1	4	yes	complemented
45	#16811356	C₂²	1	2	yes	complemented
46	#16811356	C₂²	1	2	yes	complemented
47	#16811355	C₂²	1	2	yes	complemented
48	#16811355	C₂²	1	2	yes	complemented
49	#16811347	C₂²	1	1	yes	characteristic, complemented
50	#16811346	C₂²	1	1	yes	characteristic, complemented
51	#16811345	C₂²	1	2	yes	complemented
52	#16811344	C₂²	1	2	yes	complemented
53	#16811343	C₂²	1	1	yes	characteristic, complemented
54	#16811342	C₂²	1	2	yes	complemented
55	#16811341	C₂²	1	2	yes	complemented
56	#16811340	C₂²	1	4	yes	complemented
57	#16811339	C₂²	1	2	yes	complemented
58	#16811338	C₂²	1	2	yes	complemented
59	#16811338	C₂²	1	2	yes	complemented
60	#16811337	C₂²	1	2	yes	complemented
61	#16811337	C₂²	1	2	yes	complemented
62	#16811337	C₂²	1	4	yes	complemented
63	#16811336	C₂²	1	4	yes	complemented
64	#16811336	C₂²	1	2	yes	complemented
65	#16811336	C₂²	1	2	yes	complemented
66	#16811335	C₂²	1	4	yes	complemented
67	#16811335	C₂²	1	4	yes	complemented
68	#16811304	C₂²	1	4	yes	complemented
69	#16811303	C₂²	1	4	yes	complemented
70	#16811302	C₂²	1	4	yes	complemented
71	#16811302	C₂²	1	4	yes	complemented
72	#16811301	C₂²	1	4	yes	complemented
73	#16811300	C₂²	1	4	yes	complemented
74	#16811300	C₂²	1	4	yes	complemented
75	#16811299	C₂²	1	4	yes	complemented
76	#16811299	C₂²	1	4	yes	complemented
77	#16811298	C₂²	1	4	yes	complemented
78	#16811298	C₂²	1	4	yes	complemented
79	#16811297	C₂²	1	4	yes	complemented
80	#16811297	C₂²	1	4	yes	complemented
81	#16811296	C₂²	1	4	yes	complemented
82	#16811296	C₂²	1	4	yes	complemented
83	Q₈×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
84	D₄×Dic₁₀₆	C₂²	1	2	yes	complemented
85	D₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
86	#16811288	C₂²	1	1	yes	characteristic, complemented
87	#16811288	C₂²	1	2	yes	complemented
88	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
89	#16811286	C₂²	1	2	yes	complemented
90	#16811286	C₂²	1	4	yes	complemented
91	#16811285	C₂²	1	2	yes	complemented
92	#16811284	C₂²	1	2	yes	complemented
93	#16811283	C₂²	1	4	yes	complemented
94	#16811283	C₂²	1	2	yes	complemented
95	#16811282	C₂²	1	4	yes	complemented
96	#16811282	C₂²	1	2	yes	complemented
97	#16811281	C₂²	1	2	yes	complemented
98	#16811281	C₂²	1	4	yes	complemented
99	#16811280	C₂²	1	2	yes	complemented
100	#16811279	C₂²	1	2	yes	complemented
101	#16811279	C₂²	1	4	yes	complemented
102	#16811270	C₂²	1	2	yes	complemented
103	#16811270	C₂²	1	2	yes	complemented
104	#16811269	C₂²	1	2	yes	complemented
105	#16811269	C₂²	1	2	yes	complemented
106	#16811268	C₂²	1	2	yes	complemented
107	#16811268	C₂²	1	2	yes	complemented
108	#16811267	C₂²	1	2	yes	complemented
109	#16811267	C₂²	1	2	yes	complemented
110	#16811266	C₂²	1	2	yes	complemented
111	#16811266	C₂²	1	2	yes	complemented
112	#16811265	C₂²	1	4	yes	complemented
113	#16811265	C₂²	1	4	yes	complemented
114	#16811264	C₂²	1	2	yes	complemented
115	#16811264	C₂²	1	2	yes	complemented
116	#16811263	C₂²	1	4	yes	complemented
117	#16811263	C₂²	1	4	yes	complemented
118	#16811262	C₂²	1	4	yes	complemented
119	#16811262	C₂²	1	4	yes	complemented
120	#16811261	C₂²	1	2	yes	complemented
121	#16811261	C₂²	1	2	yes	complemented
122	#16811260	C₂²	1	4	yes	complemented
123	#16811260	C₂²	1	4	yes	complemented
124	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
125	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
126	#16811258	C₂²	1	1	yes	characteristic, complemented
127	#16811257	C₂²	1	2	yes	complemented
128	#16811257	C₂²	1	2	yes	complemented
129	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
130	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
131	#16811255	C₂²	1	4	yes	complemented
132	#16811247	C₂²	1	2	yes	complemented
133	#16811246	C₂²	1	2	yes	complemented
134	#16811245	C₂²	1	2	yes	complemented
135	#16811244	C₂²	1	2	yes	complemented
136	#16811243	C₂²	1	4	yes	complemented
137	#16811242	C₂²	1	2	yes	complemented
138	#16811241	C₂²	1	4	yes	complemented
139	#16811240	C₂²	1	2	yes	complemented
140	#16811239	C₂²	1	4	yes	complemented
141	#16811238	C₂²	1	2	yes	complemented
142	#16811237	C₂²	1	4	yes	complemented
143	#16811213	C₂²	1	4	yes	complemented
144	#16811212	C₂²	1	4	yes	complemented
145	#16811212	C₂²	1	4	yes	complemented
146	#16811211	C₂²	1	4	yes	complemented
147	#16811210	C₂²	1	4	yes	complemented
148	#16811209	C₂²	1	4	yes	complemented
149	#16811209	C₂²	1	4	yes	complemented
150	#16811208	C₂²	1	4	yes	complemented
151	#16811208	C₂²	1	4	yes	complemented
152	#16811207	C₂²	1	4	yes	complemented
153	#16811207	C₂²	1	4	yes	complemented
154	#16811206	C₂²	1	4	yes	complemented
155	#16811206	C₂²	1	4	yes	complemented
156	#16811205	C₂²	1	4	yes	complemented
157	#16811205	C₂²	1	4	yes	complemented
158	#16811174	C₂²	1	1	yes	characteristic, complemented
159	#16811173	C₂²	1	1	yes	characteristic, complemented
160	#16811172	C₂²	1	2	yes	complemented
161	#16811171	C₂²	1	1	yes	characteristic, complemented
162	#16811170	C₂²	1	2	yes	complemented
163	#16811170	C₂²	1	2	yes	complemented
164	#16811169	C₂²	1	2	yes	complemented
165	#16811168	C₂²	1	2	yes	complemented
166	#16811168	C₂²	1	2	yes	complemented
167	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
168	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
169	#127×D₅₃	C₂²	1	1	yes	characteristic
170	#16811160	C₂²	1	1	yes	characteristic, complemented
171	#16811160	C₂²	1	2	yes	complemented
172	#16811159	C₂²	1	1	yes	characteristic, complemented
173	#16811159	C₂²	1	2	yes	complemented
174	#16811158	C₂²	1	1	yes	characteristic, complemented
175	#16811158	C₂²	1	2	yes	complemented
176	#16811157	C₂²	1	1	yes	characteristic, complemented
177	#16811157	C₂²	1	2	yes	complemented
178	#16811156	C₂²	1	2	yes	complemented
179	#16811156	C₂²	1	4	yes	complemented
180	#16811155	C₂²	1	1	yes	characteristic, complemented
181	#16811155	C₂²	1	2	yes	complemented
182	#16811154	C₂²	1	1	yes	characteristic, complemented
183	#16811154	C₂²	1	2	yes	complemented
184	#16811153	C₂²	1	2	yes	complemented
185	#16811153	C₂²	1	4	yes	complemented
186	#16811152	C₂²	1	1	yes	characteristic, complemented
187	#16811152	C₂²	1	2	yes	complemented
188	#16811151	C₂²	1	2	yes	complemented
189	#16811151	C₂²	1	4	yes	complemented
190	#16811150	C₂²	1	2	yes	complemented
191	#16811150	C₂²	1	4	yes	complemented
192	#126×D₅₃	C₂²	1	4	yes	complemented
193	#126×D₅₃	C₂²	1	4	yes	complemented
194	#126×D₅₃	C₂²	1	2	yes	complemented
195	#125×D₅₃	C₂²	1	1	yes	characteristic, complemented
196	C₂×#13133206	C₂²	1	2	yes	complemented
197	C₂×#13133205	C₂²	1	2	yes	complemented
198	C₂×#13133204	C₂²	1	2	yes	complemented
199	C₂×#13133203	C₂²	1	4	yes	complemented
200	C₂×#13133203	C₂²	1	4	yes	complemented
201	#124×D₅₃	C₂²	1	2	yes	—
202	#124×D₅₃	C₂²	1	1	yes	characteristic
203	#124×D₅₃	C₂²	1	2	yes	complemented
204	#124×D₅₃	C₂²	1	2	yes	complemented
205	#124×D₅₃	C₂²	1	2	yes	complemented
206	#124×D₅₃	C₂²	1	2	yes	complemented
207	#124×D₅₃	C₂²	1	4	yes	complemented
208	#124×D₅₃	C₂²	1	4	yes	complemented
209	#124×D₅₃	C₂²	1	4	yes	complemented
210	#124×D₅₃	C₂²	1	2	yes	complemented
211	#124×D₅₃	C₂²	1	4	yes	complemented
212	#124×D₅₃	C₂²	1	4	yes	complemented
213	#124×D₅₃	C₂²	1	2	yes	complemented
214	#124×D₅₃	C₂²	1	2	yes	complemented
215	#123×D₅₃	C₂²	1	4	yes	complemented
216	#123×D₅₃	C₂²	1	2	yes	complemented
217	#123×D₅₃	C₂²	1	4	yes	complemented
218	#123×D₅₃	C₂²	1	4	yes	complemented
219	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
220	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
221	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
222	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
223	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
224	#121×D₅₃	C₂²	1	2	yes	—
225	#121×D₅₃	C₂²	1	2	yes	—
226	#121×D₅₃	C₂²	1	1	yes	characteristic
227	#121×D₅₃	C₂²	1	2	yes	complemented
228	#121×D₅₃	C₂²	1	4	yes	complemented
229	#121×D₅₃	C₂²	1	4	yes	complemented
230	#121×D₅₃	C₂²	1	2	yes	complemented
231	#120×D₅₃	C₂²	1	4	yes	—
232	#120×D₅₃	C₂²	1	4	yes	complemented
233	#16811098	C₂²	1	2	yes	complemented
234	#16811097	C₂²	1	2	yes	complemented
235	#16811097	C₂²	1	2	yes	complemented
236	#16811096	C₂²	1	4	yes	complemented
237	#16811096	C₂²	1	4	yes	complemented
238	#16811095	C₂²	1	2	yes	complemented
239	#16811095	C₂²	1	2	yes	complemented
240	#16811095	C₂²	1	4	yes	complemented
241	#16811095	C₂²	1	4	yes	complemented
242	#16811095	C₂²	1	2	yes	complemented
243	#16811095	C₂²	1	2	yes	complemented
244	#41×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
245	C₄×#11719949	C₂²	1	1	yes	characteristic, complemented
246	C₄×#11719949	C₂²	1	1	yes	characteristic, complemented
247	C₄×#11719945	C₂²	1	2	yes	complemented
248	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
249	#16811091	C₂²	1	2	yes	complemented
250	#16811091	C₂²	1	1	yes	characteristic, complemented
251	C₄×#11719947	C₂²	1	1	yes	characteristic, complemented
252	C₄×#11719947	C₂²	1	1	yes	characteristic, complemented
253	C₄×#11719947	C₂²	1	2	yes	complemented
254	C₄×#11719947	C₂²	1	2	yes	complemented
255	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
256	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
257	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
258	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
259	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
260	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
261	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
262	C₄×D₄×D₅₃	C₂²	1	2	yes	—
263	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
264	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
265	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
266	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
267	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
268	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
269	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
270	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
271	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
272	#117×D₅₃	C₂²	1	2	yes	complemented
273	#117×D₅₃	C₂²	1	2	yes	complemented
274	#117×D₅₃	C₂²	1	2	yes	complemented
275	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
276	#117×D₅₃	C₂²	1	4	yes	complemented
277	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
278	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
279	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
280	C₂×C₄²×D₅₃	C₂²	1	2	yes	complemented
281	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
282	C₅₃×#559	C₂²	1	1	yes	characteristic, complemented
283	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
284	C₅₃×#555	C₂²	1	2	yes	complemented
285	C₅₃×#551	C₂²	1	4	yes	complemented
286	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
287	C₅₃×#548	C₂²	1	2	yes	complemented
288	C₅₃×#546	C₂²	1	2	yes	complemented
289	C₅₃×#546	C₂²	1	2	yes	complemented
290	D₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
291	C₅₃×#542	C₂²	1	2	yes	complemented
292	C₅₃×#538	C₂²	1	4	yes	complemented
293	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
294	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
295	C₅₃×#529	C₂²	1	2	yes	complemented
296	C₂×#124×C₅₃	C₂²	1	2	yes	complemented
297	C₅₃×#518	C₂²	1	2	yes	complemented
298	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	4	yes	—
300	C₂×#11719949	C₂³	1	1	yes	characteristic
301	C₂×#11719949	C₂³	1	2	yes	complemented
302	C₂×#11719945	C₂³	1	2	yes	—
303	C₂×#11719945	C₂³	1	1	yes	characteristic
304	C₂×#11719945	C₂³	1	4	yes	complemented
305	C₂×#11719945	C₂³	1	2	yes	complemented
306	C₂×#11719947	C₂³	1	1	yes	characteristic
307	C₂×#11719947	C₂³	1	2	yes	—
308	C₂×#11719947	C₂³	1	2	yes	complemented
309	C₂×#11719947	C₂³	1	4	yes	complemented
310	#41×D₅₃	—	2	8	no	—
311	#41×D₅₃	—	4	8	no	—
312	C₂²×Dic₁₀₆	C₂³	1	4	yes	complemented
313	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
314	C₂×Q₈×D₅₃	—	4	8	no	—
315	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
316	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
317	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
318	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
319	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
320	C₂×Q₈×D₅₃	C₂³	1	4	yes	complemented
321	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
322	C₂²×D₂₁₂	C₂³	1	2	yes	—
323	C₂²×D₂₁₂	C₂³	1	2	yes	—
324	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
325	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
326	C₂×D₄×D₅₃	—	2	16	no	—
327	C₂×D₄×D₅₃	—	4	8	no	—
328	C₂×D₄×D₅₃	C₂³	1	4	yes	—
329	C₂×D₄×D₅₃	C₂³	1	2	yes	—
330	C₂×D₄×D₅₃	C₂³	1	2	yes	—
331	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂×D₄×D₅₃	C₂³	1	4	yes	—
333	C₂×D₄×D₅₃	C₂³	1	2	yes	—
334	C₂×D₄×D₅₃	C₂³	1	2	yes	—
335	C₂×D₄×D₅₃	C₂³	1	2	yes	—
336	C₂×D₄×D₅₃	C₂³	1	4	yes	—
337	C₂×D₄×D₅₃	C₂³	1	2	yes	—
338	C₂×D₄×D₅₃	C₂³	1	2	yes	—
339	C₂×D₄×D₅₃	C₂³	1	2	yes	—
340	C₂×D₄×D₅₃	C₂³	1	2	yes	—
341	C₂×D₄×D₅₃	C₂³	1	4	yes	—
342	C₂×D₄×D₅₃	C₂³	1	4	yes	—
343	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
347	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
348	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
349	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
350	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
351	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
352	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
353	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
354	#13133217	C₂³	1	2	yes	complemented
355	#13133217	C₂³	1	1	yes	characteristic, complemented
356	#13133216	C₂³	1	4	yes	complemented
357	#13133216	C₂³	1	2	yes	complemented
358	#13133216	C₂³	1	2	yes	complemented
359	#13133216	C₂³	1	2	yes	complemented
360	#13133216	C₂³	1	2	yes	complemented
361	#13133215	C₂³	1	4	yes	complemented
362	#13133215	C₂³	1	2	yes	complemented
363	#13133214	C₂³	1	1	yes	characteristic
364	#13133213	C₂³	1	2	yes	—
365	#13133213	C₂³	1	2	yes	—
366	#13133213	C₂³	1	2	yes	—
367	#13133212	C₂³	1	2	yes	complemented
368	#13133212	C₂³	1	2	yes	complemented
369	#13133212	C₂³	1	4	yes	complemented
370	#13133212	C₂³	1	4	yes	complemented
371	#13133212	C₂³	1	2	yes	complemented
372	#13133212	C₂³	1	4	yes	complemented
373	#13133212	C₂³	1	4	yes	complemented
374	#13133212	C₂³	1	4	yes	complemented
375	#13133212	C₂³	1	4	yes	complemented
376	#13133211	C₂³	1	2	yes	complemented
377	#13133211	C₂³	1	4	yes	complemented
378	#13133211	C₂³	1	4	yes	complemented
379	#13133210	C₂³	1	2	yes	complemented
380	#13133210	C₂³	1	4	yes	complemented
381	#13133210	C₂³	1	2	yes	complemented
382	#13133210	C₂³	1	2	yes	complemented
383	#13133210	C₂³	1	4	yes	complemented
384	#13133210	C₂³	1	4	yes	complemented
385	#13133210	C₂³	1	4	yes	complemented
386	#13133210	C₂³	1	4	yes	complemented
387	#13133210	C₂³	1	4	yes	complemented
388	#13133209	C₂³	1	1	yes	characteristic, complemented
389	#13133208	C₂³	1	1	yes	characteristic, complemented
390	#13133208	C₂³	1	1	yes	characteristic, complemented
391	#13133207	C₂³	1	2	yes	complemented
392	#13133207	C₂³	1	2	yes	complemented
393	#13133206	C₂³	1	2	yes	—
394	#13133206	C₂³	1	1	yes	characteristic
395	#13133206	C₂³	1	2	yes	complemented
396	#13133206	C₂³	1	4	yes	complemented
397	#13133206	C₂³	1	2	yes	complemented
398	#13133206	C₂³	1	4	yes	complemented
399	#13133206	C₂³	1	2	yes	complemented
400	#13133206	C₂³	1	4	yes	complemented
401	#13133205	C₂³	1	2	yes	—
402	#13133205	C₂³	1	1	yes	characteristic
403	#13133205	C₂³	1	2	yes	complemented
404	#13133205	C₂³	1	4	yes	complemented
405	#13133205	C₂³	1	2	yes	complemented
406	#13133205	C₂³	1	4	yes	complemented
407	#13133205	C₂³	1	2	yes	complemented
408	#13133205	C₂³	1	4	yes	complemented
409	#13133204	C₂³	1	2	yes	—
410	#13133204	C₂³	1	1	yes	characteristic
411	#13133204	C₂³	1	2	yes	complemented
412	#13133204	C₂³	1	4	yes	complemented
413	#13133204	C₂³	1	2	yes	complemented
414	#13133204	C₂³	1	4	yes	complemented
415	#13133204	C₂³	1	2	yes	complemented
416	#13133204	C₂³	1	4	yes	complemented
417	#13133203	C₂³	1	4	yes	—
418	#13133203	C₂³	1	4	yes	—
419	#13133203	C₂³	1	2	yes	—
420	#13133203	C₂³	1	2	yes	—
421	#13133203	C₂³	1	4	yes	complemented
422	#13133203	C₂³	1	4	yes	complemented
423	#13133203	C₂³	1	4	yes	complemented
424	#13133203	C₂³	1	4	yes	complemented
425	#13133203	C₂³	1	4	yes	complemented
426	#13133203	C₂³	1	4	yes	complemented
427	#13133203	C₂³	1	4	yes	complemented
428	#13133203	C₂³	1	4	yes	complemented
429	#13133203	C₂³	1	4	yes	complemented
430	#13133203	C₂³	1	4	yes	complemented
431	#13133203	C₂³	1	4	yes	complemented
432	#13133203	C₂³	1	4	yes	complemented
433	#13133203	C₂³	1	4	yes	complemented
434	#13133203	C₂³	1	4	yes	complemented
435	#13133203	C₂³	1	4	yes	complemented
436	#13133203	C₂³	1	4	yes	complemented
437	#13133203	C₂³	1	4	yes	complemented
438	#13133203	C₂³	1	4	yes	complemented
439	#13133202	C₂³	1	4	yes	complemented
440	#13133202	C₂³	1	4	yes	complemented
441	#13133202	C₂³	1	4	yes	complemented
442	#13133202	C₂³	1	4	yes	complemented
443	#13133202	C₂³	1	4	yes	complemented
444	#13133202	C₂³	1	4	yes	complemented
445	#13133202	C₂³	1	2	yes	complemented
446	#13133202	C₂³	1	2	yes	complemented
447	#13133201	C₂³	1	4	yes	complemented
448	#13133201	C₂³	1	4	yes	complemented
449	#13133201	C₂³	1	4	yes	complemented
450	#13133201	C₂³	1	2	yes	complemented
451	#13133200	C₂³	1	4	yes	complemented
452	#13133200	C₂³	1	4	yes	complemented
453	#13133200	C₂³	1	4	yes	complemented
454	#13133200	C₂³	1	2	yes	complemented
455	#13133199	C₂³	1	4	yes	complemented
456	#13133199	C₂³	1	4	yes	complemented
457	#13133199	C₂³	1	4	yes	complemented
458	#13133199	C₂³	1	4	yes	complemented
459	#13133199	C₂³	1	4	yes	complemented
460	#13133199	C₂³	1	4	yes	complemented
461	#13133199	C₂³	1	2	yes	complemented
462	#13133199	C₂³	1	2	yes	complemented
463	#13133198	C₂³	1	4	yes	complemented
464	#13133198	C₂³	1	4	yes	complemented
465	#13133198	C₂³	1	4	yes	complemented
466	#13133198	C₂³	1	2	yes	complemented
467	#13133197	C₂³	1	2	yes	complemented
468	#13133197	C₂³	1	2	yes	complemented
469	#13133197	C₂³	1	1	yes	characteristic, complemented
470	#13133197	C₂³	1	4	yes	complemented
471	#13133197	C₂³	1	4	yes	complemented
472	#13133196	C₂³	1	2	yes	complemented
473	#13133196	C₂³	1	2	yes	complemented
474	#13133196	C₂³	1	1	yes	characteristic, complemented
475	#13133196	C₂³	1	4	yes	complemented
476	#13133196	C₂³	1	4	yes	complemented
477	#13133195	C₂³	1	4	yes	complemented
478	#13133195	C₂³	1	4	yes	complemented
479	#13133195	C₂³	1	2	yes	complemented
480	#13133195	C₂³	1	4	yes	complemented
481	#13133195	C₂³	1	4	yes	complemented
482	#13133195	C₂³	1	4	yes	complemented
483	#13133195	C₂³	1	4	yes	complemented
484	#13133194	C₂³	1	2	yes	complemented
485	#13133194	C₂³	1	4	yes	complemented
486	#13133194	C₂³	1	4	yes	complemented
487	#13133194	C₂³	1	4	yes	complemented
488	#13133194	C₂³	1	4	yes	complemented
489	#13133194	C₂³	1	4	yes	complemented
490	#13133194	C₂³	1	4	yes	complemented
491	#13133193	C₂³	1	2	yes	complemented
492	#13133193	C₂³	1	2	yes	complemented
493	#13133193	C₂³	1	1	yes	characteristic, complemented
494	#13133193	C₂³	1	4	yes	complemented
495	#13133193	C₂³	1	4	yes	complemented
496	#13133192	C₂³	1	1	yes	characteristic
497	#13133192	C₂³	1	2	yes	—
498	#13133192	C₂³	1	2	yes	—
499	#13133192	C₂³	1	4	yes	complemented
500	#13133192	C₂³	1	4	yes	complemented
501	#13133192	C₂³	1	2	yes	complemented
502	#13133192	C₂³	1	2	yes	complemented
503	#13133191	C₂³	1	1	yes	characteristic
504	#13133191	C₂³	1	2	yes	—
505	#13133191	C₂³	1	2	yes	—
506	#13133191	C₂³	1	4	yes	complemented
507	#13133191	C₂³	1	4	yes	complemented
508	#13133191	C₂³	1	2	yes	complemented
509	#13133191	C₂³	1	2	yes	complemented
510	#13133190	C₂³	1	2	yes	—
511	#13133190	C₂³	1	4	yes	—
512	#13133190	C₂³	1	4	yes	—
513	#13133190	C₂³	1	4	yes	complemented
514	#13133190	C₂³	1	4	yes	complemented
515	#13133190	C₂³	1	4	yes	complemented
516	#13133190	C₂³	1	4	yes	complemented
517	#13133190	C₂³	1	4	yes	complemented
518	#13133190	C₂³	1	4	yes	complemented
519	#13133189	C₂³	1	4	yes	—
520	#13133189	C₂³	1	4	yes	—
521	#13133189	C₂³	1	2	yes	—
522	#13133189	C₂³	1	4	yes	complemented
523	#13133189	C₂³	1	4	yes	complemented
524	#13133189	C₂³	1	4	yes	complemented
525	#13133189	C₂³	1	4	yes	complemented
526	#13133189	C₂³	1	4	yes	complemented
527	#13133189	C₂³	1	4	yes	complemented
528	#13133188	C₂³	1	1	yes	characteristic
529	#13133188	C₂³	1	2	yes	—
530	#13133188	C₂³	1	2	yes	—
531	#13133188	C₂³	1	2	yes	complemented
532	#13133188	C₂³	1	4	yes	complemented
533	#13133188	C₂³	1	4	yes	complemented
534	#13133188	C₂³	1	2	yes	complemented
535	#13133187	C₂³	1	4	yes	—
536	#13133187	C₂³	1	4	yes	—
537	#13133187	C₂³	1	4	yes	—
538	#13133187	C₂³	1	4	yes	complemented
539	#13133187	C₂³	1	4	yes	complemented
540	#13133187	C₂³	1	4	yes	complemented
541	#13133186	C₂³	1	4	yes	—
542	#13133186	C₂³	1	4	yes	complemented
543	#13133185	C₂³	1	4	yes	—
544	#13133185	C₂³	1	4	yes	—
545	#13133185	C₂³	1	4	yes	—
546	#13133185	C₂³	1	4	yes	complemented
547	#13133185	C₂³	1	4	yes	complemented
548	#13133185	C₂³	1	4	yes	complemented
549	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
550	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
551	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
552	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
553	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
554	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
555	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
556	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
557	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
558	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
559	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
560	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
561	#13133182	C₂³	1	4	yes	complemented
562	#13133182	C₂³	1	2	yes	complemented
563	#13133182	C₂³	1	1	yes	characteristic, complemented
564	#13133182	C₂³	1	2	yes	complemented
565	#13133182	C₂³	1	2	yes	complemented
566	#13133182	C₂³	1	1	yes	characteristic, complemented
567	#13133182	C₂³	1	1	yes	characteristic, complemented
568	#13133182	C₂³	1	2	yes	complemented
569	C₄×D₂₁₂	C₂³	1	2	yes	—
570	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
571	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
572	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
573	C₄×D₂₁₂	C₂³	1	2	yes	complemented
574	C₄×D₂₁₂	C₂³	1	2	yes	complemented
575	C₄×D₂₁₂	C₂³	1	2	yes	complemented
576	C₄×D₂₁₂	C₂³	1	4	yes	complemented
577	C₄×D₂₁₂	C₂³	1	2	yes	complemented
578	C₄×D₂₁₂	C₂³	1	2	yes	complemented
579	C₄×D₂₁₂	C₂³	1	2	yes	complemented
580	C₄×D₂₁₂	C₂³	1	4	yes	complemented
581	C₄×D₂₁₂	C₂³	1	2	yes	complemented
582	D₄×Dic₅₃	C₂³	1	2	yes	—
583	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
584	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
585	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
586	D₄×Dic₅₃	C₂³	1	2	yes	complemented
587	D₄×Dic₅₃	C₂³	1	4	yes	complemented
588	D₄×Dic₅₃	C₂³	1	2	yes	complemented
589	D₄×Dic₅₃	C₂³	1	2	yes	complemented
590	D₄×Dic₅₃	C₂³	1	2	yes	complemented
591	D₄×Dic₅₃	C₂³	1	2	yes	complemented
592	D₄×Dic₅₃	C₂³	1	2	yes	complemented
593	D₄×Dic₅₃	C₂³	1	4	yes	complemented
594	D₄×Dic₅₃	C₂³	1	2	yes	complemented
595	#13133179	C₂³	1	2	yes	—
596	#13133179	C₂³	1	1	yes	characteristic
597	#13133179	C₂³	1	1	yes	characteristic
598	#13133179	C₂³	1	1	yes	characteristic
599	#13133179	C₂³	1	2	yes	complemented
600	#13133179	C₂³	1	2	yes	complemented
601	#13133179	C₂³	1	2	yes	complemented
602	#13133179	C₂³	1	4	yes	complemented
603	#13133179	C₂³	1	2	yes	complemented
604	#13133179	C₂³	1	2	yes	complemented
605	#13133179	C₂³	1	2	yes	complemented
606	#13133179	C₂³	1	4	yes	complemented
607	#13133179	C₂³	1	2	yes	complemented
608	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
609	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
610	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
611	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
612	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
613	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
614	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
615	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
616	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
618	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
619	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
620	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
621	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
622	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
623	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
624	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
625	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
626	#13133177	C₂³	1	4	yes	—
627	#13133177	C₂³	1	2	yes	—
628	#13133177	C₂³	1	2	yes	—
629	#13133177	C₂³	1	2	yes	—
630	#13133177	C₂³	1	4	yes	complemented
631	#13133177	C₂³	1	4	yes	complemented
632	#13133177	C₂³	1	2	yes	complemented
633	#13133177	C₂³	1	4	yes	complemented
634	#13133177	C₂³	1	2	yes	complemented
635	#13133177	C₂³	1	4	yes	complemented
636	#13133177	C₂³	1	4	yes	complemented
637	#13133177	C₂³	1	2	yes	complemented
638	#13133177	C₂³	1	2	yes	complemented
639	#13133177	C₂³	1	2	yes	complemented
640	#13133177	C₂³	1	2	yes	complemented
641	#13133177	C₂³	1	4	yes	complemented
642	#13133177	C₂³	1	4	yes	complemented
643	#13133177	C₂³	1	4	yes	complemented
644	#13133176	C₂³	1	2	yes	complemented
645	#13133176	C₂³	1	4	yes	complemented
646	#13133176	C₂³	1	1	yes	characteristic, complemented
647	#13133176	C₂³	1	2	yes	complemented
648	#13133176	C₂³	1	2	yes	complemented
649	#13133175	C₂³	1	2	yes	complemented
650	#13133175	C₂³	1	4	yes	complemented
651	#13133175	C₂³	1	2	yes	complemented
652	#13133175	C₂³	1	4	yes	complemented
653	#13133175	C₂³	1	1	yes	characteristic, complemented
654	#13133175	C₂³	1	2	yes	complemented
655	#13133175	C₂³	1	1	yes	characteristic, complemented
656	#13133175	C₂³	1	2	yes	complemented
657	#13133175	C₂³	1	2	yes	complemented
658	#13133175	C₂³	1	2	yes	complemented
659	#13133174	C₂³	1	2	yes	complemented
660	#13133174	C₂³	1	4	yes	complemented
661	#13133174	C₂³	1	2	yes	complemented
662	#13133174	C₂³	1	4	yes	complemented
663	#13133174	C₂³	1	2	yes	complemented
664	#13133174	C₂³	1	4	yes	complemented
665	#13133174	C₂³	1	2	yes	complemented
666	#13133174	C₂³	1	2	yes	complemented
667	#13133173	C₂³	1	2	yes	complemented
668	#13133173	C₂³	1	4	yes	complemented
669	#13133173	C₂³	1	2	yes	complemented
670	#13133173	C₂³	1	4	yes	complemented
671	#13133173	C₂³	1	2	yes	complemented
672	#13133173	C₂³	1	4	yes	complemented
673	#13133173	C₂³	1	2	yes	complemented
674	#13133173	C₂³	1	2	yes	complemented
675	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
676	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
677	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
678	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
679	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
680	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
681	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
682	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
683	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
684	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
685	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
686	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
687	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
688	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
689	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
690	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
691	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
692	C₂×#11719921	C₂³	1	4	yes	complemented
693	C₂×#11719921	C₂³	1	4	yes	complemented
694	C₂×#11719921	C₂³	1	4	yes	complemented
695	C₂×#11719921	C₂³	1	4	yes	complemented
696	C₂×#11719921	C₂³	1	4	yes	complemented
697	C₂×#11719921	C₂³	1	4	yes	complemented
698	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
699	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
700	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
701	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
702	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
703	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
704	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
705	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
706	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
707	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
708	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
709	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
710	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
711	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
712	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
713	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
714	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
715	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
716	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
717	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
718	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
719	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
720	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
721	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
722	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
723	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
724	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
725	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
726	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
727	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
728	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
729	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
730	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
731	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
732	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
733	C₄²×D₅₃	C₂³	1	1	yes	characteristic
734	C₄²×D₅₃	C₂³	1	2	yes	—
735	C₄²×D₅₃	C₂³	1	1	yes	characteristic
736	C₄²×D₅₃	C₂³	1	1	yes	characteristic
737	C₄²×D₅₃	C₂³	1	1	yes	characteristic
738	C₄²×D₅₃	C₂³	1	2	yes	—
739	C₄²×D₅₃	C₂³	1	2	yes	—
740	C₄²×D₅₃	C₂³	1	4	yes	—
741	C₄²×D₅₃	C₂³	1	2	yes	—
742	C₄²×D₅₃	C₂³	1	2	yes	complemented
743	C₄²×D₅₃	C₂³	1	2	yes	complemented
744	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
745	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
746	C₄²×D₅₃	C₂³	1	2	yes	complemented
747	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
748	C₄²×D₅₃	C₂³	1	2	yes	complemented
749	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
750	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
751	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
752	C₂²×Q₈×C₅₃	C₂³	1	2	yes	complemented
753	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
754	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
755	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
756	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
757	#127×C₅₃	C₂³	1	1	yes	characteristic
758	#126×C₅₃	C₂³	1	2	yes	complemented
759	#126×C₅₃	C₂³	1	4	yes	complemented
760	#126×C₅₃	C₂³	1	4	yes	complemented
761	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
762	#124×C₅₃	C₂³	1	2	yes	—
763	#124×C₅₃	C₂³	1	1	yes	characteristic
764	#124×C₅₃	C₂³	1	2	yes	complemented
765	#124×C₅₃	C₂³	1	2	yes	complemented
766	#124×C₅₃	C₂³	1	4	yes	complemented
767	#124×C₅₃	C₂³	1	4	yes	complemented
768	#124×C₅₃	C₂³	1	2	yes	complemented
769	#124×C₅₃	C₂³	1	4	yes	complemented
770	#123×C₅₃	C₂³	1	4	yes	complemented
771	#123×C₅₃	C₂³	1	4	yes	complemented
772	#123×C₅₃	C₂³	1	4	yes	complemented
773	#123×C₅₃	C₂³	1	2	yes	complemented
774	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
775	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
776	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
777	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
778	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
779	#121×C₅₃	C₂³	1	1	yes	characteristic
780	#121×C₅₃	C₂³	1	2	yes	—
781	#121×C₅₃	C₂³	1	2	yes	—
782	#121×C₅₃	C₂³	1	2	yes	complemented
783	#121×C₅₃	C₂³	1	4	yes	complemented
784	#121×C₅₃	C₂³	1	2	yes	complemented
785	#121×C₅₃	C₂³	1	4	yes	complemented
786	#120×C₅₃	C₂³	1	4	yes	—
787	#120×C₅₃	C₂³	1	4	yes	complemented
788	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
789	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
790	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
791	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
792	C₄×D₄×C₅₃	C₂³	1	2	yes	—
793	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
794	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
795	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
796	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
797	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
798	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
799	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
800	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
801	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
802	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
803	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
804	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
805	#117×C₅₃	C₂³	1	2	yes	complemented
806	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
807	#117×C₅₃	C₂³	1	2	yes	complemented
808	#117×C₅₃	C₂³	1	2	yes	complemented
809	#117×C₅₃	C₂³	1	4	yes	complemented
810	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
812	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
813	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
814	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
815	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
816	C₂³×D₅₃	—	2	16	no	—
817	C₂³×D₅₃	—	4	8	no	—
818	C₂³×D₅₃	—	4	8	no	—
819	C₂³×D₅₃	C₂⁴	1	2	yes	—
820	C₂³×D₅₃	C₂⁴	1	4	yes	—
821	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
822	C₂³×D₅₃	C₂⁴	1	2	yes	—
823	C₂³×D₅₃	C₂⁴	1	4	yes	—
824	C₂³×D₅₃	C₂⁴	1	4	yes	—
825	C₂³×D₅₃	C₂⁴	1	4	yes	—
826	#41×C₅₃	—	2	4	no	—
827	#41×C₅₃	—	4	4	no	—
828	C₂×Q₈×C₅₃	—	4	4	no	—
829	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
830	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
831	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
832	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
833	C₂×D₄×C₅₃	—	2	8	no	—
834	C₂×D₄×C₅₃	—	4	4	no	—
835	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
836	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
837	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
838	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
839	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
842	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
843	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
844	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
845	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
846	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
849	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
852	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
854	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊D₅₃	—	2	16	no	—
856	C₂×C₂²⋊D₅₃	—	4	8	no	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
872	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
873	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
874	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
875	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
876	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
877	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
878	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
879	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
880	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
881	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
882	#11719949	—	2	4	no	—
883	#11719949	—	4	4	no	—
884	Q₈×D₅₃	—	2	4	no	—
885	Q₈×D₅₃	—	2	4	no	—
886	Q₈×D₅₃	—	2	8	no	—
887	Q₈×D₅₃	—	4	8	no	—
888	Q₈×D₅₃	—	4	4	no	—
889	Q₈×D₅₃	—	4	4	no	—
890	Q₈×D₅₃	—	4	8	no	—
891	#11719947	—	2	4	no	—
892	#11719947	—	2	8	no	—
893	#11719947	—	4	4	no	—
894	#11719947	—	4	8	no	—
895	D₄×D₅₃	—	2	16	no	—
896	D₄×D₅₃	—	2	8	no	—
897	D₄×D₅₃	—	2	8	no	—
898	D₄×D₅₃	—	2	16	no	—
899	D₄×D₅₃	—	2	8	no	—
900	D₄×D₅₃	—	2	8	no	—
901	D₄×D₅₃	—	2	4	no	—
902	D₄×D₅₃	—	2	8	no	—
903	D₄×D₅₃	—	4	4	no	—
904	D₄×D₅₃	—	4	4	no	—
905	D₄×D₅₃	—	4	8	no	—
906	D₄×D₅₃	—	4	8	no	—
907	D₄×D₅₃	—	4	4	no	—
908	D₄×D₅₃	—	4	4	no	—
909	D₄×D₅₃	—	4	8	no	—
910	D₄×D₅₃	#41	1	8	yes	complemented
911	#11719945	—	2	8	no	—
912	#11719945	—	2	4	no	—
913	#11719945	—	4	8	no	—
914	#11719945	—	4	4	no	—
915	C₂×D₂₁₂	—	2	8	no	—
916	C₂×D₂₁₂	—	4	4	no	—
917	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
918	C₂×D₂₁₂	C₂⁴	1	4	yes	—
919	C₂×D₂₁₂	C₂⁴	1	2	yes	—
920	C₂×D₂₁₂	C₂⁴	1	2	yes	—
921	C₂×D₂₁₂	C₂⁴	1	2	yes	—
922	C₂×D₂₁₂	C₂⁴	1	2	yes	—
923	C₂×D₂₁₂	C₂⁴	1	2	yes	—
924	C₂×D₂₁₂	C₂⁴	1	4	yes	—
925	C₂×D₂₁₂	C₂⁴	1	4	yes	—
926	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
927	C₂×C₄×D₅₃	—	2	8	no	—
928	C₂×C₄×D₅₃	—	2	8	no	—
929	C₂×C₄×D₅₃	—	2	4	no	—
930	C₂×C₄×D₅₃	—	2	8	no	—
931	C₂×C₄×D₅₃	—	2	4	no	—
932	C₂×C₄×D₅₃	—	4	4	no	—
933	C₂×C₄×D₅₃	—	4	8	no	—
934	C₂×C₄×D₅₃	—	4	2	no	—
935	C₂×C₄×D₅₃	—	4	8	no	—
936	C₂×C₄×D₅₃	—	4	8	no	—
937	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
938	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
939	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
940	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
941	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
942	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
943	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
944	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
945	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
946	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
947	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
948	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
949	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
950	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
951	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
952	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
953	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
954	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
955	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
956	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
957	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
958	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
959	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
961	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
962	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
963	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
964	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
967	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
968	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
969	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
970	C₂×Dic₁₀₆	—	4	8	no	—
971	C₂×Dic₁₀₆	—	4	4	no	—
972	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
973	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
974	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
975	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
976	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
977	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
978	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
979	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
980	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
981	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
982	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
983	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
984	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
985	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
986	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
987	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
988	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
989	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
990	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
991	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
992	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
993	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
994	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
995	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
996	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
997	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
998	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
999	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1000	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1001	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1002	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1003	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1004	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1005	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1006	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1007	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1008	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1009	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1010	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1011	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1012	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1013	C₄²×C₅₃	C₂⁴	1	2	yes	—
1014	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1015	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1016	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1017	C₄²×C₅₃	C₂⁴	1	2	yes	—
1018	C₄²×C₅₃	C₂⁴	1	2	yes	—
1019	C₄²×C₅₃	C₂⁴	1	4	yes	—
1020	C₄²×C₅₃	C₂⁴	1	2	yes	—
1021	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1022	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1023	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1024	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1025	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1026	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1027	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1028	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1029	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1030	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1031	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1032	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1033	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1034	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1035	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1036	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1037	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1038	#11719921	C₂⁴	1	2	yes	—
1039	#11719921	C₂⁴	1	2	yes	—
1040	#11719921	C₂⁴	1	2	yes	—
1041	#11719921	C₂⁴	1	4	yes	—
1042	#11719921	C₂⁴	1	2	yes	—
1043	#11719921	C₂⁴	1	4	yes	—
1044	#11719921	C₂⁴	1	2	yes	—
1045	#11719921	C₂⁴	1	2	yes	—
1046	#11719921	C₂⁴	1	2	yes	—
1047	#11719921	C₂⁴	1	2	yes	—
1048	#11719921	C₂⁴	1	4	yes	—
1049	#11719921	C₂⁴	1	4	yes	—
1050	#11719921	C₂⁴	1	4	yes	—
1051	#11719921	C₂⁴	1	4	yes	—
1052	#11719921	C₂⁴	1	4	yes	—
1053	#11719921	C₂⁴	1	4	yes	—
1054	#11719921	C₂⁴	1	4	yes	—
1055	#11719921	C₂⁴	1	4	yes	—
1056	#11719921	C₂⁴	1	4	yes	—
1057	#11719921	C₂⁴	1	4	yes	—
1058	#11719921	C₂⁴	1	4	yes	—
1059	#11719921	C₂⁴	1	4	yes	—
1060	#11719921	C₂⁴	1	2	yes	—
1061	#11719921	C₂⁴	1	2	yes	—
1062	#11719921	C₂⁴	1	2	yes	—
1063	#11719921	C₂⁴	1	2	yes	—
1064	#11719921	C₂⁴	1	4	yes	—
1065	#11719921	C₂⁴	1	4	yes	—
1066	#11719921	C₂⁴	1	2	yes	—
1067	#11719921	C₂⁴	1	4	yes	—
1068	#11719921	C₂⁴	1	2	yes	—
1069	#11719921	C₂⁴	1	2	yes	—
1070	#11719921	C₂⁴	1	4	yes	—
1071	#11719921	C₂⁴	1	2	yes	—
1072	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1073	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1074	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1075	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1076	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1077	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1078	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1079	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1080	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1081	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1082	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1083	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1084	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1085	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1086	#11719919	C₂⁴	1	2	yes	—
1087	#11719919	C₂⁴	1	2	yes	—
1088	#11719919	C₂⁴	1	2	yes	—
1089	#11719919	C₂⁴	1	4	yes	—
1090	#11719919	C₂⁴	1	2	yes	—
1091	#11719919	C₂⁴	1	2	yes	—
1092	#11719919	C₂⁴	1	2	yes	—
1093	#11719919	C₂⁴	1	2	yes	—
1094	#11719919	C₂⁴	1	2	yes	—
1095	#11719919	C₂⁴	1	2	yes	—
1096	#11719919	C₂⁴	1	2	yes	—
1097	#11719919	C₂⁴	1	2	yes	—
1098	#11719919	C₂⁴	1	2	yes	—
1099	#11719919	C₂⁴	1	4	yes	—
1100	#11719919	C₂⁴	1	4	yes	—
1101	#11719919	C₂⁴	1	2	yes	—
1102	#11719919	C₂⁴	1	2	yes	—
1103	#11719919	C₂⁴	1	4	yes	—
1104	#11719919	C₂⁴	1	4	yes	—
1105	#11719919	C₂⁴	1	4	yes	—
1106	#11719919	C₂⁴	1	2	yes	—
1107	#11719919	C₂⁴	1	2	yes	—
1108	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1109	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1110	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1111	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1112	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1113	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1114	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1115	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1116	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1117	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1118	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1119	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1120	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1121	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1122	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1123	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1124	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1125	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1126	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1127	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1128	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1129	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1130	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1131	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1132	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1133	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1135	C₂³×C₅₃	—	2	8	no	—
1136	C₂³×C₅₃	—	4	4	no	—
1137	C₂³×C₅₃	—	4	4	no	—
1138	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1139	C₂³×C₅₃	C₂⁵	1	4	yes	—
1140	C₂³×C₅₃	C₂⁵	1	2	yes	—
1141	C₂³×C₅₃	C₂⁵	1	2	yes	—
1142	C₂²×D₅₃	—	2	4	no	—
1143	C₂²×D₅₃	—	2	4	no	—
1144	C₂²×D₅₃	—	2	8	no	—
1145	C₂²×D₅₃	—	2	2	no	—
1146	C₂²×D₅₃	—	2	4	no	—
1147	C₂²×D₅₃	—	2	8	no	—
1148	C₂²×D₅₃	—	2	2	no	—
1149	C₂²×D₅₃	—	2	8	no	—
1150	C₂²×D₅₃	—	2	4	no	—
1151	C₂²×D₅₃	—	2	2	no	—
1152	C₂²×D₅₃	—	2	8	no	—
1153	C₂²×D₅₃	—	2	4	no	—
1154	C₂²×D₅₃	—	2	8	no	—
1155	C₂²×D₅₃	—	2	8	no	—
1156	C₂²×D₅₃	—	4	4	no	—
1157	C₂²×D₅₃	—	4	4	no	—
1158	C₂²×D₅₃	—	4	4	no	—
1159	C₂²×D₅₃	—	4	4	no	—
1160	C₂²×D₅₃	—	4	4	no	—
1161	C₂²×D₅₃	—	4	4	no	—
1162	C₂²×D₅₃	—	8	32	no	—
1163	C₂²×D₅₃	C₂×#41	1	8	yes	—
1164	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1165	C₂²×D₅₃	C₂⁵	1	4	yes	—
1166	C₂²×D₅₃	C₂⁵	1	2	yes	—
1167	C₂²×D₅₃	C₂⁵	1	2	yes	—
1168	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1169	Q₈×C₅₃	—	2	2	no	—
1170	Q₈×C₅₃	—	2	2	no	—
1171	Q₈×C₅₃	—	2	4	no	—
1172	Q₈×C₅₃	—	4	4	no	—
1173	D₄×C₅₃	—	2	8	no	—
1174	D₄×C₅₃	—	2	4	no	—
1175	D₄×C₅₃	—	2	4	no	—
1176	D₄×C₅₃	—	2	2	no	—
1177	D₄×C₅₃	—	2	4	no	—
1178	D₄×C₅₃	—	4	4	no	—
1179	D₄×C₅₃	—	4	4	no	—
1180	D₄×C₅₃	—	4	2	no	—
1181	D₄×C₅₃	—	4	2	no	—
1182	D₄×C₅₃	C₂×#41	1	4	yes	complemented
1183	C₂×C₄×C₅₃	—	2	4	no	—
1184	C₂×C₄×C₅₃	—	2	4	no	—
1185	C₂×C₄×C₅₃	—	2	2	no	—
1186	C₂×C₄×C₅₃	—	2	4	no	—
1187	C₂×C₄×C₅₃	—	2	2	no	—
1188	C₂×C₄×C₅₃	—	4	4	no	—
1189	C₂×C₄×C₅₃	—	4	4	no	—
1190	C₂×C₄×C₅₃	—	4	2	no	—
1191	C₂×C₄×C₅₃	—	4	4	no	—
1192	C₂×C₄×C₅₃	—	4	1	no	—
1193	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1194	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1195	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1196	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1197	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1198	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1199	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1200	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1201	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1202	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1203	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1204	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1205	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1206	C₂²⋊D₅₃	—	2	4	no	—
1207	C₂²⋊D₅₃	—	2	8	no	—
1208	C₂²⋊D₅₃	—	2	4	no	—
1209	C₂²⋊D₅₃	—	2	8	no	—
1210	C₂²⋊D₅₃	—	2	8	no	—
1211	C₂²⋊D₅₃	—	2	8	no	—
1212	C₂²⋊D₅₃	—	2	4	no	—
1213	C₂²⋊D₅₃	—	4	4	no	—
1214	C₂²⋊D₅₃	—	4	4	no	—
1215	C₂²⋊D₅₃	—	4	4	no	—
1216	C₂²⋊D₅₃	—	4	4	no	—
1217	C₂²⋊D₅₃	—	4	2	no	—
1218	C₂²⋊D₅₃	—	4	2	no	—
1219	C₂²⋊D₅₃	—	4	4	no	—
1220	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1221	C₂×Dic₅₃	—	2	4	no	—
1222	C₂×Dic₅₃	—	2	2	no	—
1223	C₂×Dic₅₃	—	2	4	no	—
1224	C₂×Dic₅₃	—	2	4	no	—
1225	C₂×Dic₅₃	—	2	2	no	—
1226	C₂×Dic₅₃	—	4	4	no	—
1227	C₂×Dic₅₃	—	4	4	no	—
1228	C₂×Dic₅₃	—	4	2	no	—
1229	C₂×Dic₅₃	—	4	4	no	—
1230	C₂×Dic₅₃	—	4	1	no	—
1231	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1232	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1233	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1234	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1235	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1236	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1237	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1238	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1239	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1240	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1241	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1242	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1243	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1244	D₂₁₂	—	2	8	no	—
1245	D₂₁₂	—	2	4	no	—
1246	D₂₁₂	—	2	4	no	—
1247	D₂₁₂	—	2	2	no	—
1248	D₂₁₂	—	2	4	no	—
1249	D₂₁₂	—	4	4	no	—
1250	D₂₁₂	—	4	4	no	—
1251	D₂₁₂	—	4	2	no	—
1252	D₂₁₂	—	4	2	no	—
1253	D₂₁₂	C₂×#41	1	4	yes	complemented
1254	C₄×D₅₃	—	2	2	no	—
1255	C₄×D₅₃	—	2	4	no	—
1256	C₄×D₅₃	—	2	4	no	—
1257	C₄×D₅₃	—	2	4	no	—
1258	C₄×D₅₃	—	2	4	no	—
1259	C₄×D₅₃	—	2	2	no	—
1260	C₄×D₅₃	—	2	4	no	—
1261	C₄×D₅₃	—	2	8	no	—
1262	C₄×D₅₃	—	2	4	no	—
1263	C₄×D₅₃	—	2	2	no	—
1264	C₄×D₅₃	—	2	4	no	—
1265	C₄×D₅₃	—	2	4	no	—
1266	C₄×D₅₃	—	2	2	no	—
1267	C₄×D₅₃	—	2	4	no	—
1268	C₄×D₅₃	—	2	2	no	—
1269	C₄×D₅₃	—	2	4	no	—
1270	C₄×D₅₃	—	2	2	no	—
1271	C₄×D₅₃	—	2	2	no	—
1272	C₄×D₅₃	—	2	4	no	—
1273	C₄×D₅₃	—	2	2	no	—
1274	C₄×D₅₃	—	2	4	no	—
1275	C₄×D₅₃	—	4	2	no	—
1276	C₄×D₅₃	—	4	2	no	—
1277	C₄×D₅₃	—	4	4	no	—
1278	C₄×D₅₃	—	4	1	no	—
1279	C₄×D₅₃	—	4	4	no	—
1280	C₄×D₅₃	—	4	1	no	—
1281	C₄×D₅₃	—	4	4	no	—
1282	C₄×D₅₃	—	4	4	no	—
1283	C₄×D₅₃	—	4	4	no	—
1284	C₄×D₅₃	—	4	4	no	—
1285	C₄×D₅₃	C₂×#41	1	4	yes	—
1286	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1287	Dic₁₀₆	—	2	2	no	—
1288	Dic₁₀₆	—	2	2	no	—
1289	Dic₁₀₆	—	2	4	no	—
1290	Dic₁₀₆	—	2	4	no	—
1291	Dic₁₀₆	—	2	4	no	—
1292	Dic₁₀₆	—	2	8	no	—
1293	Dic₁₀₆	—	4	4	no	—
1294	Dic₁₀₆	—	4	4	no	—
1295	Dic₁₀₆	—	4	4	no	—
1296	C₂×#3514	—	53	1	no	maximal, Sylow
1297	C₂²×C₅₃	—	2	2	no	—
1298	C₂²×C₅₃	—	2	2	no	—
1299	C₂²×C₅₃	—	2	1	no	—
1300	C₂²×C₅₃	—	2	2	no	—
1301	C₂²×C₅₃	—	2	4	no	—
1302	C₂²×C₅₃	—	2	1	no	—
1303	C₂²×C₅₃	—	2	4	no	—
1304	C₂²×C₅₃	—	2	2	no	—
1305	C₂²×C₅₃	—	2	1	no	—
1306	C₂²×C₅₃	—	2	4	no	—
1307	C₂²×C₅₃	—	2	2	no	—
1308	C₂²×C₅₃	—	8	8	no	—
1309	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1310	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1311	C₂×D₅₃	—	2	2	no	—
1312	C₂×D₅₃	—	2	2	no	—
1313	C₂×D₅₃	—	2	16	no	—
1314	C₂×D₅₃	—	2	1	no	—
1315	C₂×D₅₃	—	2	2	no	—
1316	C₂×D₅₃	—	2	4	no	—
1317	C₂×D₅₃	—	2	1	no	—
1318	C₂×D₅₃	—	2	4	no	—
1319	C₂×D₅₃	—	2	2	no	—
1320	C₂×D₅₃	—	2	1	no	—
1321	C₂×D₅₃	—	2	4	no	—
1322	C₂×D₅₃	—	2	2	no	—
1323	C₂×D₅₃	—	4	4	no	—
1324	C₂×D₅₃	—	4	16	no	—
1325	C₂×D₅₃	—	4	8	no	—
1326	C₂×D₅₃	—	8	8	no	—
1327	C₂×D₅₃	—	8	8	no	—
1328	C₂×D₅₃	—	8	8	no	—
1329	C₂×D₅₃	C₂²×#41	1	4	yes	—
1330	C₂×D₅₃	C₂²×#41	1	2	yes	—
1331	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1332	C₂×D₅₃	#585	1	2	yes	—
1333	C₄×C₅₃	—	2	2	no	—
1334	C₄×C₅₃	—	2	1	no	—
1335	C₄×C₅₃	—	2	2	no	—
1336	C₄×C₅₃	—	2	2	no	—
1337	C₄×C₅₃	—	2	4	no	—
1338	C₄×C₅₃	—	2	2	no	—
1339	C₄×C₅₃	—	2	1	no	—
1340	C₄×C₅₃	—	2	2	no	—
1341	C₄×C₅₃	—	2	1	no	—
1342	C₄×C₅₃	—	2	2	no	—
1343	C₄×C₅₃	—	2	1	no	—
1344	C₄×C₅₃	C₂²×#41	1	2	yes	—
1345	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1346	Dic₅₃	—	2	2	no	—
1347	Dic₅₃	—	2	1	no	—
1348	Dic₅₃	—	2	2	no	—
1349	Dic₅₃	—	2	2	no	—
1350	Dic₅₃	—	2	4	no	—
1351	Dic₅₃	—	2	2	no	—
1352	Dic₅₃	—	2	1	no	—
1353	Dic₅₃	—	2	1	no	—
1354	Dic₅₃	—	2	2	no	—
1355	Dic₅₃	—	2	2	no	—
1356	Dic₅₃	—	2	1	no	—
1357	Dic₅₃	C₂²×#41	1	2	yes	—
1358	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1359	#3514	—	53	1	no	—
1360	#3514	—	53	1	no	—
1361	#3514	—	53	2	no	—
1362	#3514	—	53	4	no	—
1363	#3514	—	53	1	no	—
1364	#3514	—	53	2	no	—
1365	#3514	—	53	2	no	—
1366	#3514	—	53	2	no	—
1367	#3514	—	53	1	no	—
1368	#3514	—	53	2	no	—
1369	#3514	—	53	4	no	—
1370	#3514	—	53	1	no	—
1371	#3514	—	53	2	no	—
1372	#3514	—	53	1	no	—
1373	#3514	—	53	2	no	—
1374	#3514	—	53	2	no	—
1375	#3514	—	53	1	no	—
1376	#3514	D₅₃	1	1	yes	characteristic, direct product factor
1377	C₂×#559	—	53	1	no	—
1378	C₂×#556	—	53	1	no	—
1379	C₂×#555	—	53	2	no	—
1380	C₂×#551	—	53	4	no	—
1381	C₂×D₄×Q₈	—	53	1	no	—
1382	C₂×#548	—	53	2	no	—
1383	C₂×#546	—	53	2	no	—
1384	C₂×#546	—	53	2	no	—
1385	C₂×D₄²	—	53	1	no	—
1386	C₂×#542	—	53	2	no	—
1387	C₂×#538	—	53	4	no	—
1388	C₂×#532	—	53	1	no	—
1389	C₂×#529	—	53	1	no	—
1390	C₂×#529	—	53	2	no	—
1391	C₂²×#124	—	53	2	no	—
1392	C₂×#518	—	53	2	no	—
1393	C₂×C₄×#41	—	53	1	no	—
1394	C₂×C₅₃	—	2	4	no	—
1395	C₂×C₅₃	—	4	2	no	—
1396	C₂×C₅₃	—	4	4	no	—
1397	C₂×C₅₃	—	4	1	no	—
1398	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1399	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1400	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1401	D₅₃	—	2	4	no	—
1402	D₅₃	—	4	1	no	—
1403	D₅₃	—	4	4	no	—
1404	D₅₃	—	4	2	no	—
1405	D₅₃	#3514	1	4	yes	direct product factor
1406	C₂²×#41	—	53	1	no	—
1407	C₂²×#41	—	53	2	no	—
1408	C₂³×Q₈	—	53	2	no	—
1409	C₂³×D₄	—	53	2	no	—
1410	C₂³×D₄	—	53	2	no	—
1411	#559	—	53	1	no	—
1412	#559	—	53	2	no	—
1413	#559	—	53	2	no	—
1414	#559	—	53	4	no	—
1415	#559	—	53	1	no	—
1416	#559	—	53	1	no	—
1417	#559	—	53	2	no	—
1418	#559	—	53	2	no	—
1419	#559	C₂×D₅₃	1	1	yes	characteristic, complemented
1420	#556	—	53	1	no	—
1421	#556	—	53	4	no	—
1422	#556	—	53	2	no	—
1423	#556	—	53	2	no	—
1424	#556	—	53	2	no	—
1425	#556	—	53	1	no	—
1426	#556	—	53	1	no	—
1427	#556	—	53	2	no	—
1428	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
1429	#555	—	53	2	no	—
1430	#555	—	53	4	no	—
1431	#555	—	53	4	no	—
1432	#555	—	53	2	no	—
1433	#555	—	53	2	no	—
1434	#555	—	53	4	no	—
1435	#555	—	53	2	no	—
1436	#555	—	53	2	no	—
1437	#555	—	53	2	no	—
1438	#555	—	53	2	no	—
1439	#555	—	53	4	no	—
1440	#555	C₂×D₅₃	1	2	yes	complemented
1441	#551	—	53	4	no	—
1442	#551	—	53	4	no	—
1443	#551	—	53	4	no	—
1444	#551	—	53	4	no	—
1445	#551	—	53	4	no	—
1446	#551	—	53	4	no	—
1447	#551	—	53	4	no	—
1448	#551	—	53	4	no	—
1449	#551	—	53	4	no	—
1450	#551	—	53	4	no	—
1451	#551	—	53	4	no	—
1452	#551	—	53	4	no	—
1453	#551	—	53	4	no	—
1454	#551	—	53	4	no	—
1455	#551	—	53	4	no	—
1456	#551	C₂×D₅₃	1	4	yes	complemented
1457	D₄×Q₈	—	53	2	no	—
1458	D₄×Q₈	—	53	2	no	—
1459	D₄×Q₈	—	53	1	no	—
1460	D₄×Q₈	—	53	2	no	—
1461	D₄×Q₈	—	53	4	no	—
1462	D₄×Q₈	—	53	1	no	—
1463	D₄×Q₈	—	53	2	no	—
1464	D₄×Q₈	—	53	1	no	—
1465	D₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1466	#548	—	53	2	no	—
1467	#548	—	53	2	no	—
1468	#548	—	53	4	no	—
1469	#548	—	53	2	no	—
1470	#548	—	53	2	no	—
1471	#548	—	53	4	no	—
1472	#548	—	53	2	no	—
1473	#548	—	53	4	no	—
1474	#548	—	53	2	no	—
1475	#548	—	53	4	no	—
1476	#548	—	53	2	no	—
1477	#548	C₂×D₅₃	1	2	yes	complemented
1478	#546	—	53	2	no	—
1479	#546	—	53	2	no	—
1480	#546	—	53	2	no	—
1481	#546	—	53	2	no	—
1482	#546	—	53	2	no	—
1483	#546	—	53	2	no	—
1484	#546	—	53	4	no	—
1485	#546	—	53	4	no	—
1486	#546	—	53	2	no	—
1487	#546	—	53	2	no	—
1488	#546	—	53	2	no	—
1489	#546	—	53	2	no	—
1490	#546	—	53	4	no	—
1491	#546	—	53	4	no	—
1492	#546	—	53	4	no	—
1493	#546	—	53	4	no	—
1494	#546	—	53	2	no	—
1495	#546	—	53	2	no	—
1496	#546	—	53	2	no	—
1497	#546	—	53	2	no	—
1498	#546	—	53	4	no	—
1499	#546	—	53	4	no	—
1500	#546	C₂×D₅₃	1	2	yes	complemented
1501	#546	C₂×D₅₃	1	2	yes	complemented
1502	D₄²	—	53	2	no	—
1503	D₄²	—	53	2	no	—
1504	D₄²	—	53	1	no	—
1505	D₄²	—	53	2	no	—
1506	D₄²	—	53	2	no	—
1507	D₄²	—	53	4	no	—
1508	D₄²	—	53	1	no	—
1509	D₄²	—	53	1	no	—
1510	D₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
1511	#542	—	53	2	no	—
1512	#542	—	53	4	no	—
1513	#542	—	53	4	no	—
1514	#542	—	53	2	no	—
1515	#542	—	53	4	no	—
1516	#542	—	53	4	no	—
1517	#542	—	53	2	no	—
1518	#542	—	53	2	no	—
1519	#542	—	53	2	no	—
1520	#542	—	53	2	no	—
1521	#542	—	53	2	no	—
1522	#542	C₂×D₅₃	1	2	yes	complemented
1523	#538	—	53	4	no	—
1524	#538	—	53	4	no	—
1525	#538	—	53	4	no	—
1526	#538	—	53	4	no	—
1527	#538	—	53	4	no	—
1528	#538	—	53	4	no	—
1529	#538	—	53	4	no	—
1530	#538	—	53	4	no	—
1531	#538	—	53	4	no	—
1532	#538	—	53	4	no	—
1533	#538	—	53	4	no	—
1534	#538	—	53	4	no	—
1535	#538	—	53	4	no	—
1536	#538	—	53	4	no	—
1537	#538	—	53	4	no	—
1538	#538	C₂×D₅₃	1	4	yes	complemented
1539	#532	—	53	2	no	—
1540	#532	—	53	1	no	—
1541	#532	—	53	1	no	—
1542	#532	—	53	2	no	—
1543	#532	—	53	2	no	—
1544	#532	—	53	2	no	—
1545	#532	—	53	2	no	—
1546	#532	—	53	2	no	—
1547	#532	—	53	1	no	—
1548	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1549	C₂×C₄⋊Q₈	—	53	1	no	—
1550	C₂×C₄⋊Q₈	—	53	2	no	—
1551	C₂×#127	—	53	1	no	—
1552	#529	—	53	4	no	—
1553	#529	—	53	2	no	—
1554	#529	—	53	2	no	—
1555	#529	—	53	1	no	—
1556	#529	—	53	1	no	—
1557	#529	—	53	2	no	—
1558	#529	—	53	4	no	—
1559	#529	—	53	2	no	—
1560	#529	—	53	2	no	—
1561	#529	—	53	1	no	—
1562	#529	—	53	2	no	—
1563	#529	—	53	1	no	—
1564	#529	—	53	2	no	—
1565	#529	—	53	1	no	—
1566	#529	—	53	1	no	—
1567	#529	—	53	4	no	—
1568	#529	—	53	2	no	—
1569	#529	—	53	2	no	—
1570	#529	—	53	4	no	—
1571	#529	—	53	2	no	—
1572	#529	—	53	2	no	—
1573	#529	—	53	1	no	—
1574	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1575	#529	C₂×D₅₃	1	2	yes	complemented
1576	C₂×#126	—	53	4	no	—
1577	C₂×#126	—	53	2	no	—
1578	C₂×#126	—	53	4	no	—
1579	C₂×#125	—	53	1	no	—
1580	C₂×#124	—	53	2	no	—
1581	C₂×#124	—	53	2	no	—
1582	C₂×#124	—	53	1	no	—
1583	C₂×#124	—	53	2	no	—
1584	C₂×#124	—	53	2	no	—
1585	C₂×#124	—	53	2	no	—
1586	C₂×#124	—	53	2	no	—
1587	C₂×#124	—	53	4	no	—
1588	C₂×#124	—	53	2	no	—
1589	C₂×#124	—	53	4	no	—
1590	C₂×#124	—	53	2	no	—
1591	C₂×#124	—	53	4	no	—
1592	C₂×#124	—	53	2	no	—
1593	C₂×#124	—	53	4	no	—
1594	C₂×#124	—	53	4	no	—
1595	C₂×#124	—	53	2	no	—
1596	C₂×#124	—	53	4	no	—
1597	C₂×#124	—	53	4	no	—
1598	C₂×#124	—	53	2	no	—
1599	C₂×#124	C₂×D₅₃	1	2	yes	complemented
1600	C₂×#123	—	53	2	no	—
1601	C₂×#123	—	53	4	no	—
1602	C₂×#123	—	53	4	no	—
1603	C₂×#123	—	53	4	no	—
1604	C₂×C₂²⋊Q₈	—	53	2	no	—
1605	C₂×C₂²⋊Q₈	—	53	1	no	—
1606	C₂×C₂²⋊Q₈	—	53	4	no	—
1607	C₂×C₂²⋊Q₈	—	53	2	no	—
1608	C₂×C₂²⋊Q₈	—	53	4	no	—
1609	C₂×#121	—	53	2	no	—
1610	C₂×#121	—	53	1	no	—
1611	C₂×#121	—	53	2	no	—
1612	C₂×#121	—	53	2	no	—
1613	C₂×#121	—	53	2	no	—
1614	C₂×#121	—	53	4	no	—
1615	C₂×#121	—	53	4	no	—
1616	C₂×#120	—	53	4	no	—
1617	C₂×#120	—	53	4	no	—
1618	#518	—	53	2	no	—
1619	#518	—	53	2	no	—
1620	#518	—	53	2	no	—
1621	#518	—	53	4	no	—
1622	#518	—	53	4	no	—
1623	#518	—	53	2	no	—
1624	#518	—	53	2	no	—
1625	#518	—	53	2	no	—
1626	#518	—	53	2	no	—
1627	#518	—	53	4	no	—
1628	#518	—	53	4	no	—
1629	#518	C₂×D₅₃	1	2	yes	complemented
1630	C₄×#41	—	53	1	no	—
1631	C₄×#41	—	53	1	no	—
1632	C₄×#41	—	53	1	no	—
1633	C₄×#41	—	53	1	no	—
1634	C₄×#41	—	53	1	no	—
1635	C₄×#41	—	53	2	no	—
1636	C₄×#41	—	53	2	no	—
1637	C₄×#41	—	53	2	no	—
1638	C₄×#41	—	53	1	no	—
1639	C₄×#41	—	53	1	no	—
1640	C₄×#41	—	53	2	no	—
1641	C₄×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1642	C₂×C₄×Q₈	—	53	1	no	—
1643	C₂×C₄×Q₈	—	53	1	no	—
1644	C₂×C₄×Q₈	—	53	2	no	—
1645	C₂×C₄×Q₈	—	53	1	no	—
1646	C₂×C₄×D₄	—	53	1	no	—
1647	C₂×C₄×D₄	—	53	1	no	—
1648	C₂×C₄×D₄	—	53	2	no	—
1649	C₂×C₄×D₄	—	53	1	no	—
1650	C₂×C₄×D₄	—	53	2	no	—
1651	C₂×C₄×D₄	—	53	2	no	—
1652	C₂×C₄×D₄	—	53	4	no	—
1653	C₂×C₄×D₄	—	53	2	no	—
1654	C₂×C₄×D₄	—	53	4	no	—
1655	C₂×C₄×D₄	—	53	2	no	—
1656	C₂×C₄×D₄	—	53	2	no	—
1657	C₂×C₄×D₄	—	53	2	no	—
1658	C₂×C₄×D₄	—	53	2	no	—
1659	C₂×#117	—	53	2	no	—
1660	C₂×#117	—	53	1	no	—
1661	C₂×#117	—	53	2	no	—
1662	C₂×#117	—	53	2	no	—
1663	C₂×#117	—	53	4	no	—
1664	C₂²×C₂²⋊C₄	—	53	4	no	—
1665	C₂²×C₂²⋊C₄	—	53	4	no	—
1666	C₂²×C₂²⋊C₄	—	53	4	no	—
1667	C₂²×C₄²	—	53	2	no	—
1668	C₂²×C₄²	—	53	1	no	—
1669	C₅₃	C₂×#3514	1	1	yes	characteristic, complemented, Sylow
1670	C₂⁵	—	53	4	no	—
1671	C₂×#41	—	53	1	no	—
1672	C₂×#41	—	53	2	no	—
1673	C₂×#41	—	53	1	no	—
1674	C₂×#41	—	53	2	no	—
1675	C₂×#41	—	53	4	no	—
1676	C₂×#41	—	53	2	no	—
1677	C₂×#41	—	53	1	no	—
1678	C₂×#41	—	53	2	no	—
1679	C₂×#41	—	53	4	no	—
1680	C₂×#41	—	53	2	no	—
1681	C₂×#41	—	106	8	no	—
1682	C₂×#41	—	212	8	no	—
1683	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1684	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1685	C₂²×Q₈	—	53	1	no	—
1686	C₂²×Q₈	—	53	1	no	—
1687	C₂²×Q₈	—	53	2	no	—
1688	C₂²×Q₈	—	53	4	no	—
1689	C₂²×Q₈	—	53	4	no	—
1690	C₂²×Q₈	—	53	2	no	—
1691	C₂²×Q₈	—	53	2	no	—
1692	C₂²×Q₈	—	53	4	no	—
1693	C₂²×Q₈	—	53	2	no	—
1694	C₂²×Q₈	—	212	8	no	—
1695	C₂²×Q₈	C₂²×D₅₃	1	2	yes	complemented
1696	C₂²×D₄	—	53	1	no	—
1697	C₂²×D₄	—	53	4	no	—
1698	C₂²×D₄	—	53	4	no	—
1699	C₂²×D₄	—	53	2	no	—
1700	C₂²×D₄	—	53	4	no	—
1701	C₂²×D₄	—	53	2	no	—
1702	C₂²×D₄	—	53	1	no	—
1703	C₂²×D₄	—	53	2	no	—
1704	C₂²×D₄	—	53	4	no	—
1705	C₂²×D₄	—	53	2	no	—
1706	C₂²×D₄	—	53	2	no	—
1707	C₂²×D₄	—	53	2	no	—
1708	C₂²×D₄	—	53	2	no	—
1709	C₂²×D₄	—	53	4	no	—
1710	C₂²×D₄	—	53	4	no	—
1711	C₂²×D₄	—	53	4	no	—
1712	C₂²×D₄	—	53	2	no	—
1713	C₂²×D₄	—	53	2	no	—
1714	C₂²×D₄	—	53	2	no	—
1715	C₂²×D₄	—	53	2	no	—
1716	C₂²×D₄	—	106	16	no	—
1717	C₂²×D₄	—	212	8	no	—
1718	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1719	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1720	C₂³×C₄	—	53	2	no	—
1721	C₂³×C₄	—	53	2	no	—
1722	C₂³×C₄	—	53	1	no	—
1723	C₂³×C₄	—	53	2	no	—
1724	C₂³×C₄	—	53	1	no	—
1725	C₂³×C₄	—	53	2	no	—
1726	C₂³×C₄	—	53	4	no	—
1727	C₂³×C₄	—	53	4	no	—
1728	C₂³×C₄	—	53	4	no	—
1729	C₂³×C₄	—	53	1	no	—
1730	C₄⋊Q₈	—	53	2	no	—
1731	C₄⋊Q₈	—	53	4	no	—
1732	C₄⋊Q₈	—	53	2	no	—
1733	C₄⋊Q₈	—	53	2	no	—
1734	C₄⋊Q₈	—	53	4	no	—
1735	C₄⋊Q₈	—	53	2	no	—
1736	C₄⋊Q₈	—	53	2	no	—
1737	C₄⋊Q₈	—	53	1	no	—
1738	C₄⋊Q₈	—	53	2	no	—
1739	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1740	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1741	#127	—	53	2	no	—
1742	#127	—	53	2	no	—
1743	#127	—	53	2	no	—
1744	#127	—	53	1	no	—
1745	#127	C₂²×D₅₃	1	1	yes	characteristic
1746	#126	—	53	4	no	—
1747	#126	—	53	4	no	—
1748	#126	—	53	4	no	—
1749	#126	—	53	2	no	—
1750	#126	—	53	2	no	—
1751	#126	—	53	2	no	—
1752	#126	—	53	4	no	—
1753	#126	—	53	4	no	—
1754	#126	—	53	4	no	—
1755	#126	—	53	4	no	—
1756	#126	—	53	4	no	—
1757	#126	—	53	4	no	—
1758	#126	—	53	2	no	—
1759	#126	—	53	2	no	—
1760	#126	—	53	2	no	—
1761	#126	—	53	4	no	—
1762	#126	—	53	4	no	—
1763	#126	—	53	4	no	—
1764	#126	—	53	4	no	—
1765	#126	—	53	2	no	—
1766	#126	—	53	4	no	—
1767	#126	C₂²×D₅₃	1	4	yes	complemented
1768	#126	C₂²×D₅₃	1	2	yes	complemented
1769	#126	C₂²×D₅₃	1	4	yes	complemented
1770	#125	—	53	2	no	—
1771	#125	—	53	2	no	—
1772	#125	—	53	1	no	—
1773	#125	—	53	1	no	—
1774	#125	—	53	1	no	—
1775	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1776	#124	—	53	1	no	—
1777	#124	—	53	2	no	—
1778	#124	—	53	4	no	—
1779	#124	—	53	2	no	—
1780	#124	—	53	2	no	—
1781	#124	—	53	4	no	—
1782	#124	—	53	4	no	—
1783	#124	—	53	2	no	—
1784	#124	—	53	1	no	—
1785	#124	—	53	2	no	—
1786	#124	—	53	4	no	—
1787	#124	—	53	2	no	—
1788	#124	—	53	2	no	—
1789	#124	—	53	4	no	—
1790	#124	—	53	4	no	—
1791	#124	—	53	2	no	—
1792	#124	—	53	2	no	—
1793	#124	—	53	2	no	—
1794	#124	—	53	4	no	—
1795	#124	—	53	4	no	—
1796	#124	—	53	4	no	—
1797	#124	—	53	4	no	—
1798	#124	—	53	4	no	—
1799	#124	—	53	4	no	—
1800	#124	—	53	4	no	—
1801	#124	—	53	4	no	—
1802	#124	—	53	4	no	—
1803	#124	—	53	4	no	—
1804	#124	—	53	4	no	—
1805	#124	—	53	4	no	—
1806	#124	—	53	4	no	—
1807	#124	—	53	4	no	—
1808	#124	—	53	4	no	—
1809	#124	—	53	4	no	—
1810	#124	—	53	4	no	—
1811	#124	—	53	4	no	—
1812	#124	—	53	4	no	—
1813	#124	—	53	4	no	—
1814	#124	—	53	1	no	—
1815	#124	—	53	2	no	—
1816	#124	—	53	4	no	—
1817	#124	—	53	2	no	—
1818	#124	—	53	2	no	—
1819	#124	—	53	4	no	—
1820	#124	—	53	4	no	—
1821	#124	—	53	2	no	—
1822	#124	C₂²×D₅₃	1	1	yes	characteristic
1823	#124	C₂²×D₅₃	1	2	yes	—
1824	#124	C₂²×D₅₃	1	2	yes	complemented
1825	#124	C₂²×D₅₃	1	4	yes	complemented
1826	#124	C₂²×D₅₃	1	2	yes	complemented
1827	#124	C₂²×D₅₃	1	4	yes	complemented
1828	#124	C₂²×D₅₃	1	4	yes	complemented
1829	#124	C₂²×D₅₃	1	2	yes	complemented
1830	#123	—	53	2	no	—
1831	#123	—	53	4	no	—
1832	#123	—	53	4	no	—
1833	#123	—	53	4	no	—
1834	#123	—	53	2	no	—
1835	#123	—	53	4	no	—
1836	#123	—	53	4	no	—
1837	#123	—	53	4	no	—
1838	#123	—	53	2	no	—
1839	#123	—	53	2	no	—
1840	#123	—	53	4	no	—
1841	#123	—	53	4	no	—
1842	#123	—	53	4	no	—
1843	#123	—	53	4	no	—
1844	#123	—	53	4	no	—
1845	#123	—	53	4	no	—
1846	#123	—	53	2	no	—
1847	#123	—	53	2	no	—
1848	#123	—	53	2	no	—
1849	#123	—	53	4	no	—
1850	#123	—	53	4	no	—
1851	#123	—	53	4	no	—
1852	#123	—	53	4	no	—
1853	#123	—	53	4	no	—
1854	#123	—	53	4	no	—
1855	#123	—	53	4	no	—
1856	#123	—	53	4	no	—
1857	#123	—	53	4	no	—
1858	#123	C₂²×D₅₃	1	2	yes	complemented
1859	#123	C₂²×D₅₃	1	4	yes	complemented
1860	#123	C₂²×D₅₃	1	4	yes	complemented
1861	#123	C₂²×D₅₃	1	4	yes	complemented
1862	C₂²⋊Q₈	—	53	2	no	—
1863	C₂²⋊Q₈	—	53	1	no	—
1864	C₂²⋊Q₈	—	53	4	no	—
1865	C₂²⋊Q₈	—	53	2	no	—
1866	C₂²⋊Q₈	—	53	4	no	—
1867	C₂²⋊Q₈	—	53	2	no	—
1868	C₂²⋊Q₈	—	53	1	no	—
1869	C₂²⋊Q₈	—	53	4	no	—
1870	C₂²⋊Q₈	—	53	2	no	—
1871	C₂²⋊Q₈	—	53	4	no	—
1872	C₂²⋊Q₈	—	53	4	no	—
1873	C₂²⋊Q₈	—	53	2	no	—
1874	C₂²⋊Q₈	—	53	2	no	—
1875	C₂²⋊Q₈	—	53	1	no	—
1876	C₂²⋊Q₈	—	53	4	no	—
1877	C₂²⋊Q₈	—	53	4	no	—
1878	C₂²⋊Q₈	—	53	4	no	—
1879	C₂²⋊Q₈	—	53	4	no	—
1880	C₂²⋊Q₈	—	53	2	no	—
1881	C₂²⋊Q₈	—	53	4	no	—
1882	C₂²⋊Q₈	—	53	4	no	—
1883	C₂²⋊Q₈	—	53	4	no	—
1884	C₂²⋊Q₈	—	53	4	no	—
1885	C₂²⋊Q₈	—	53	2	no	—
1886	C₂²⋊Q₈	—	53	4	no	—
1887	C₂²⋊Q₈	—	53	4	no	—
1888	C₂²⋊Q₈	—	53	4	no	—
1889	C₂²⋊Q₈	—	53	4	no	—
1890	C₂²⋊Q₈	—	53	4	no	—
1891	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1892	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1893	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1894	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1895	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1896	#121	—	53	2	no	—
1897	#121	—	53	4	no	—
1898	#121	—	53	1	no	—
1899	#121	—	53	2	no	—
1900	#121	—	53	2	no	—
1901	#121	—	53	4	no	—
1902	#121	—	53	2	no	—
1903	#121	—	53	4	no	—
1904	#121	—	53	4	no	—
1905	#121	—	53	4	no	—
1906	#121	—	53	4	no	—
1907	#121	—	53	4	no	—
1908	#121	—	53	4	no	—
1909	#121	—	53	4	no	—
1910	#121	—	53	2	no	—
1911	#121	—	53	4	no	—
1912	#121	—	53	2	no	—
1913	#121	—	53	1	no	—
1914	#121	—	53	2	no	—
1915	#121	—	53	2	no	—
1916	#121	—	53	4	no	—
1917	#121	—	53	4	no	—
1918	#121	—	53	2	no	—
1919	#121	—	53	2	no	—
1920	#121	—	53	1	no	—
1921	#121	—	53	2	no	—
1922	#121	—	53	2	no	—
1923	#121	—	53	4	no	—
1924	#121	—	53	4	no	—
1925	#121	—	53	2	no	—
1926	#121	—	53	4	no	—
1927	#121	—	53	2	no	—
1928	#121	—	53	4	no	—
1929	#121	—	53	4	no	—
1930	#121	—	53	4	no	—
1931	#121	—	53	4	no	—
1932	#121	—	53	4	no	—
1933	#121	—	53	4	no	—
1934	#121	—	53	4	no	—
1935	#121	C₂²×D₅₃	1	2	yes	—
1936	#121	C₂²×D₅₃	1	1	yes	characteristic
1937	#121	C₂²×D₅₃	1	2	yes	—
1938	#121	C₂²×D₅₃	1	2	yes	complemented
1939	#121	C₂²×D₅₃	1	2	yes	complemented
1940	#121	C₂²×D₅₃	1	4	yes	complemented
1941	#121	C₂²×D₅₃	1	4	yes	complemented
1942	#120	—	53	4	no	—
1943	#120	—	53	4	no	—
1944	#120	—	53	4	no	—
1945	#120	—	53	4	no	—
1946	#120	—	53	4	no	—
1947	#120	—	53	4	no	—
1948	#120	—	53	4	no	—
1949	#120	—	53	4	no	—
1950	#120	—	53	4	no	—
1951	#120	—	53	4	no	—
1952	#120	—	53	4	no	—
1953	#120	—	53	4	no	—
1954	#120	—	53	4	no	—
1955	#120	—	53	4	no	—
1956	#120	C₂²×D₅₃	1	4	yes	—
1957	#120	C₂²×D₅₃	1	4	yes	complemented
1958	C₄×Q₈	—	53	1	no	—
1959	C₄×Q₈	—	53	1	no	—
1960	C₄×Q₈	—	53	2	no	—
1961	C₄×Q₈	—	53	1	no	—
1962	C₄×Q₈	—	53	2	no	—
1963	C₄×Q₈	—	53	1	no	—
1964	C₄×Q₈	—	53	2	no	—
1965	C₄×Q₈	—	53	1	no	—
1966	C₄×Q₈	—	53	4	no	—
1967	C₄×Q₈	—	53	2	no	—
1968	C₄×Q₈	—	53	2	no	—
1969	C₄×Q₈	—	53	1	no	—
1970	C₄×Q₈	—	53	2	no	—
1971	C₄×Q₈	—	53	1	no	—
1972	C₄×Q₈	—	53	1	no	—
1973	C₄×Q₈	—	53	2	no	—
1974	C₄×Q₈	—	53	4	no	—
1975	C₄×Q₈	—	53	2	no	—
1976	C₄×Q₈	—	53	2	no	—
1977	C₄×Q₈	—	53	1	no	—
1978	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1979	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1980	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1981	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1982	C₄×D₄	—	53	1	no	—
1983	C₄×D₄	—	53	2	no	—
1984	C₄×D₄	—	53	1	no	—
1985	C₄×D₄	—	53	2	no	—
1986	C₄×D₄	—	53	4	no	—
1987	C₄×D₄	—	53	2	no	—
1988	C₄×D₄	—	53	2	no	—
1989	C₄×D₄	—	53	4	no	—
1990	C₄×D₄	—	53	2	no	—
1991	C₄×D₄	—	53	1	no	—
1992	C₄×D₄	—	53	2	no	—
1993	C₄×D₄	—	53	2	no	—
1994	C₄×D₄	—	53	2	no	—
1995	C₄×D₄	—	53	2	no	—
1996	C₄×D₄	—	53	2	no	—
1997	C₄×D₄	—	53	2	no	—
1998	C₄×D₄	—	53	2	no	—
1999	C₄×D₄	—	53	2	no	—
2000	C₄×D₄	—	53	2	no	—
2001	C₄×D₄	—	53	4	no	—
2002	C₄×D₄	—	53	4	no	—
2003	C₄×D₄	—	53	4	no	—
2004	C₄×D₄	—	53	4	no	—
2005	C₄×D₄	—	53	4	no	—
2006	C₄×D₄	—	53	4	no	—
2007	C₄×D₄	—	53	4	no	—
2008	C₄×D₄	—	53	2	no	—
2009	C₄×D₄	—	53	2	no	—
2010	C₄×D₄	—	53	2	no	—
2011	C₄×D₄	—	53	4	no	—
2012	C₄×D₄	—	53	4	no	—
2013	C₄×D₄	—	53	1	no	—
2014	C₄×D₄	—	53	2	no	—
2015	C₄×D₄	—	53	1	no	—
2016	C₄×D₄	—	53	2	no	—
2017	C₄×D₄	—	53	4	no	—
2018	C₄×D₄	—	53	2	no	—
2019	C₄×D₄	—	53	2	no	—
2020	C₄×D₄	—	53	4	no	—
2021	C₄×D₄	—	53	2	no	—
2022	C₄×D₄	—	53	1	no	—
2023	C₄×D₄	—	53	2	no	—
2024	C₄×D₄	—	53	2	no	—
2025	C₄×D₄	—	53	2	no	—
2026	C₄×D₄	—	53	2	no	—
2027	C₄×D₄	—	53	2	no	—
2028	C₄×D₄	—	53	2	no	—
2029	C₄×D₄	—	53	2	no	—
2030	C₄×D₄	—	53	2	no	—
2031	C₄×D₄	—	53	2	no	—
2032	C₄×D₄	—	53	4	no	—
2033	C₄×D₄	—	53	4	no	—
2034	C₄×D₄	—	53	4	no	—
2035	C₄×D₄	—	53	4	no	—
2036	C₄×D₄	—	53	4	no	—
2037	C₄×D₄	—	53	4	no	—
2038	C₄×D₄	—	53	4	no	—
2039	C₄×D₄	—	53	2	no	—
2040	C₄×D₄	—	53	2	no	—
2041	C₄×D₄	—	53	2	no	—
2042	C₄×D₄	—	53	4	no	—
2043	C₄×D₄	—	53	4	no	—
2044	C₄×D₄	—	53	1	no	—
2045	C₄×D₄	—	53	2	no	—
2046	C₄×D₄	—	53	1	no	—
2047	C₄×D₄	—	53	2	no	—
2048	C₄×D₄	—	53	4	no	—
2049	C₄×D₄	—	53	2	no	—
2050	C₄×D₄	—	53	2	no	—
2051	C₄×D₄	—	53	4	no	—
2052	C₄×D₄	—	53	2	no	—
2053	C₄×D₄	—	53	1	no	—
2054	C₄×D₄	—	53	2	no	—
2055	C₄×D₄	—	53	2	no	—
2056	C₄×D₄	—	53	2	no	—
2057	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2058	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2059	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2060	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2061	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2062	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2063	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2064	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2065	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2066	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2067	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2068	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2069	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2070	#117	—	53	2	no	—
2071	#117	—	53	1	no	—
2072	#117	—	53	2	no	—
2073	#117	—	53	2	no	—
2074	#117	—	53	4	no	—
2075	#117	—	53	2	no	—
2076	#117	—	53	2	no	—
2077	#117	—	53	1	no	—
2078	#117	—	53	1	no	—
2079	#117	—	53	2	no	—
2080	#117	—	53	2	no	—
2081	#117	—	53	2	no	—
2082	#117	—	53	2	no	—
2083	#117	—	53	4	no	—
2084	#117	—	53	4	no	—
2085	#117	—	53	2	no	—
2086	#117	—	53	2	no	—
2087	#117	—	53	2	no	—
2088	#117	—	53	2	no	—
2089	#117	—	53	2	no	—
2090	#117	—	53	4	no	—
2091	#117	—	53	4	no	—
2092	#117	—	53	4	no	—
2093	#117	—	53	2	no	—
2094	#117	—	53	2	no	—
2095	#117	—	53	2	no	—
2096	#117	—	53	2	no	—
2097	#117	—	53	2	no	—
2098	#117	—	53	4	no	—
2099	#117	—	53	4	no	—
2100	#117	—	53	4	no	—
2101	#117	C₂²×D₅₃	1	2	yes	complemented
2102	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
2103	#117	C₂²×D₅₃	1	2	yes	complemented
2104	#117	C₂²×D₅₃	1	2	yes	complemented
2105	#117	C₂²×D₅₃	1	4	yes	complemented
2106	C₂×C₄⋊C₄	—	53	1	no	—
2107	C₂×C₄⋊C₄	—	53	2	no	—
2108	C₂×C₄⋊C₄	—	53	2	no	—
2109	C₂×C₄⋊C₄	—	53	2	no	—
2110	C₂×C₄⋊C₄	—	53	2	no	—
2111	C₂×C₄⋊C₄	—	53	1	no	—
2112	C₂×C₄⋊C₄	—	53	2	no	—
2113	C₂×C₄⋊C₄	—	53	2	no	—
2114	C₂×C₄⋊C₄	—	53	4	no	—
2115	C₂×C₄⋊C₄	—	53	1	no	—
2116	C₂×C₄⋊C₄	—	53	1	no	—
2117	C₂×C₄⋊C₄	—	53	2	no	—
2118	C₂×C₄⋊C₄	—	53	4	no	—
2119	C₂×C₄⋊C₄	—	53	2	no	—
2120	C₂×C₂²⋊C₄	—	53	4	no	—
2121	C₂×C₂²⋊C₄	—	53	4	no	—
2122	C₂×C₂²⋊C₄	—	53	4	no	—
2123	C₂×C₂²⋊C₄	—	53	4	no	—
2124	C₂×C₂²⋊C₄	—	53	4	no	—
2125	C₂×C₂²⋊C₄	—	53	4	no	—
2126	C₂×C₂²⋊C₄	—	53	4	no	—
2127	C₂×C₂²⋊C₄	—	53	4	no	—
2128	C₂×C₂²⋊C₄	—	53	4	no	—
2129	C₂×C₂²⋊C₄	—	53	2	no	—
2130	C₂×C₂²⋊C₄	—	53	2	no	—
2131	C₂×C₂²⋊C₄	—	53	4	no	—
2132	C₂×C₂²⋊C₄	—	53	2	no	—
2133	C₂×C₂²⋊C₄	—	53	2	no	—
2134	C₂×C₂²⋊C₄	—	53	4	no	—
2135	C₂×C₂²⋊C₄	—	53	4	no	—
2136	C₂×C₂²⋊C₄	—	53	4	no	—
2137	C₂×C₂²⋊C₄	—	53	4	no	—
2138	C₂×C₂²⋊C₄	—	53	4	no	—
2139	C₂×C₂²⋊C₄	—	53	4	no	—
2140	C₂×C₂²⋊C₄	—	53	4	no	—
2141	C₂×C₂²⋊C₄	—	53	4	no	—
2142	C₂×C₂²⋊C₄	—	53	4	no	—
2143	C₂×C₂²⋊C₄	—	53	4	no	—
2144	C₂×C₂²⋊C₄	—	53	4	no	—
2145	C₂×C₂²⋊C₄	—	53	4	no	—
2146	C₂×C₂²⋊C₄	—	53	4	no	—
2147	C₂×C₂²⋊C₄	—	53	4	no	—
2148	C₂×C₂²⋊C₄	—	53	4	no	—
2149	C₂×C₂²⋊C₄	—	53	4	no	—
2150	C₂×C₂²⋊C₄	—	53	4	no	—
2151	C₂×C₂²⋊C₄	—	53	4	no	—
2152	C₂×C₂²⋊C₄	—	53	2	no	—
2153	C₂×C₂²⋊C₄	—	53	2	no	—
2154	C₂×C₂²⋊C₄	—	53	4	no	—
2155	C₂×C₂²⋊C₄	—	53	2	no	—
2156	C₂×C₂²⋊C₄	—	53	4	no	—
2157	C₂×C₂²⋊C₄	—	53	2	no	—
2158	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2159	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2160	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2161	C₂×C₄²	—	53	2	no	—
2162	C₂×C₄²	—	53	2	no	—
2163	C₂×C₄²	—	53	2	no	—
2164	C₂×C₄²	—	53	1	no	—
2165	C₂×C₄²	—	53	1	no	—
2166	C₂×C₄²	—	53	1	no	—
2167	C₂×C₄²	—	53	2	no	—
2168	C₂×C₄²	—	53	1	no	—
2169	C₂×C₄²	—	53	4	no	—
2170	C₂×C₄²	—	53	1	no	—
2171	C₂×C₄²	—	53	2	no	—
2172	C₂×C₄²	—	53	2	no	—
2173	C₂×C₄²	—	53	1	no	—
2174	C₂×C₄²	—	53	2	no	—
2175	C₂×C₄²	—	53	2	no	—
2176	C₂×C₄²	—	53	2	no	—
2177	C₂×C₄²	—	53	2	no	—
2178	C₂×C₄²	—	53	2	no	—
2179	C₂×C₄²	—	53	1	no	—
2180	C₂×C₄²	—	53	1	no	—
2181	C₂×C₄²	—	53	1	no	—
2182	C₂×C₄²	—	53	1	no	—
2183	C₂×C₄²	—	53	1	no	—
2184	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2185	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
2186	C₂⁴	—	53	2	no	—
2187	C₂⁴	—	53	2	no	—
2188	C₂⁴	—	53	4	no	—
2189	C₂⁴	—	53	1	no	—
2190	C₂⁴	—	53	4	no	—
2191	C₂⁴	—	53	4	no	—
2192	C₂⁴	—	53	4	no	—
2193	C₂⁴	—	106	16	no	—
2194	C₂⁴	—	212	8	no	—
2195	C₂⁴	—	212	8	no	—
2196	C₂⁴	C₂³×D₅₃	1	4	yes	—
2197	#41	—	2	4	no	—
2198	#41	—	4	4	no	—
2199	#41	—	106	8	no	—
2200	#41	—	106	4	no	—
2201	#41	—	106	8	no	—
2202	#41	—	106	4	no	—
2203	#41	—	106	4	no	—
2204	#41	—	212	4	no	—
2205	#41	—	212	8	no	—
2206	#41	—	212	4	no	—
2207	#41	—	212	8	no	—
2208	#41	—	212	4	no	—
2209	C₂×Q₈	—	4	4	no	—
2210	C₂×Q₈	—	53	2	no	—
2211	C₂×Q₈	—	53	1	no	—
2212	C₂×Q₈	—	53	2	no	—
2213	C₂×Q₈	—	53	1	no	—
2214	C₂×Q₈	—	53	4	no	—
2215	C₂×Q₈	—	53	2	no	—
2216	C₂×Q₈	—	53	4	no	—
2217	C₂×Q₈	—	53	4	no	—
2218	C₂×Q₈	—	53	4	no	—
2219	C₂×Q₈	—	106	4	no	—
2220	C₂×Q₈	—	106	8	no	—
2221	C₂×Q₈	—	106	4	no	—
2222	C₂×Q₈	—	212	4	no	—
2223	C₂×Q₈	—	212	8	no	—
2224	C₂×Q₈	—	212	8	no	—
2225	C₂×Q₈	—	212	4	no	—
2226	C₂×Q₈	—	212	4	no	—
2227	C₂×Q₈	—	212	8	no	—
2228	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2229	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2230	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2231	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2232	C₂×D₄	—	2	8	no	—
2233	C₂×D₄	—	4	4	no	—
2234	C₂×D₄	—	53	2	no	—
2235	C₂×D₄	—	53	8	no	—
2236	C₂×D₄	—	53	2	no	—
2237	C₂×D₄	—	53	2	no	—
2238	C₂×D₄	—	53	4	no	—
2239	C₂×D₄	—	53	4	no	—
2240	C₂×D₄	—	53	4	no	—
2241	C₂×D₄	—	53	2	no	—
2242	C₂×D₄	—	53	4	no	—
2243	C₂×D₄	—	53	2	no	—
2244	C₂×D₄	—	53	2	no	—
2245	C₂×D₄	—	53	4	no	—
2246	C₂×D₄	—	53	4	no	—
2247	C₂×D₄	—	53	4	no	—
2248	C₂×D₄	—	53	4	no	—
2249	C₂×D₄	—	53	4	no	—
2250	C₂×D₄	—	53	1	no	—
2251	C₂×D₄	—	53	2	no	—
2252	C₂×D₄	—	53	4	no	—
2253	C₂×D₄	—	53	2	no	—
2254	C₂×D₄	—	53	1	no	—
2255	C₂×D₄	—	53	2	no	—
2256	C₂×D₄	—	53	2	no	—
2257	C₂×D₄	—	53	2	no	—
2258	C₂×D₄	—	53	4	no	—
2259	C₂×D₄	—	53	4	no	—
2260	C₂×D₄	—	106	8	no	—
2261	C₂×D₄	—	106	8	no	—
2262	C₂×D₄	—	106	4	no	—
2263	C₂×D₄	—	106	8	no	—
2264	C₂×D₄	—	106	16	no	—
2265	C₂×D₄	—	106	8	no	—
2266	C₂×D₄	—	106	16	no	—
2267	C₂×D₄	—	106	8	no	—
2268	C₂×D₄	—	106	16	no	—
2269	C₂×D₄	—	106	8	no	—
2270	C₂×D₄	—	212	4	no	—
2271	C₂×D₄	—	212	4	no	—
2272	C₂×D₄	—	212	4	no	—
2273	C₂×D₄	—	212	8	no	—
2274	C₂×D₄	—	212	4	no	—
2275	C₂×D₄	—	212	4	no	—
2276	C₂×D₄	—	212	8	no	—
2277	C₂×D₄	—	212	8	no	—
2278	C₂×D₄	—	212	8	no	—
2279	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2280	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2281	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2282	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2283	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2284	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2285	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2286	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2287	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2288	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2289	C₂²×C₄	—	53	1	no	—
2290	C₂²×C₄	—	53	1	no	—
2291	C₂²×C₄	—	53	2	no	—
2292	C₂²×C₄	—	53	1	no	—
2293	C₂²×C₄	—	53	2	no	—
2294	C₂²×C₄	—	53	1	no	—
2295	C₂²×C₄	—	53	2	no	—
2296	C₂²×C₄	—	53	2	no	—
2297	C₂²×C₄	—	53	1	no	—
2298	C₂²×C₄	—	53	4	no	—
2299	C₂²×C₄	—	53	4	no	—
2300	C₂²×C₄	—	53	4	no	—
2301	C₂²×C₄	—	53	1	no	—
2302	C₂²×C₄	—	53	2	no	—
2303	C₂²×C₄	—	53	1	no	—
2304	C₂²×C₄	—	53	2	no	—
2305	C₂²×C₄	—	53	2	no	—
2306	C₂²×C₄	—	53	1	no	—
2307	C₂²×C₄	—	53	1	no	—
2308	C₂²×C₄	—	53	2	no	—
2309	C₂²×C₄	—	53	2	no	—
2310	C₂²×C₄	—	53	2	no	—
2311	C₂²×C₄	—	53	1	no	—
2312	C₂²×C₄	—	53	1	no	—
2313	C₂²×C₄	—	53	2	no	—
2314	C₂²×C₄	—	53	2	no	—
2315	C₂²×C₄	—	53	1	no	—
2316	C₂²×C₄	—	53	1	no	—
2317	C₂²×C₄	—	53	2	no	—
2318	C₂²×C₄	—	53	2	no	—
2319	C₂²×C₄	—	53	4	no	—
2320	C₂²×C₄	—	53	2	no	—
2321	C₂²×C₄	—	53	2	no	—
2322	C₂²×C₄	—	53	2	no	—
2323	C₂²×C₄	—	53	2	no	—
2324	C₂²×C₄	—	53	1	no	—
2325	C₂²×C₄	—	53	1	no	—
2326	C₂²×C₄	—	53	4	no	—
2327	C₂²×C₄	—	53	4	no	—
2328	C₂²×C₄	—	53	4	no	—
2329	C₂²×C₄	—	53	4	no	—
2330	C₂²×C₄	—	53	4	no	—
2331	C₂²×C₄	—	53	4	no	—
2332	C₂²×C₄	—	106	8	no	—
2333	C₂²×C₄	—	106	8	no	—
2334	C₂²×C₄	—	106	4	no	—
2335	C₂²×C₄	—	106	4	no	—
2336	C₂²×C₄	—	106	8	no	—
2337	C₂²×C₄	—	212	4	no	—
2338	C₂²×C₄	—	212	8	no	—
2339	C₂²×C₄	—	212	2	no	—
2340	C₂²×C₄	—	212	8	no	—
2341	C₂²×C₄	—	212	8	no	—
2342	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2343	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2344	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2345	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2346	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2347	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2348	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2349	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2350	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2351	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2352	C₄⋊C₄	—	53	2	no	—
2353	C₄⋊C₄	—	53	1	no	—
2354	C₄⋊C₄	—	53	2	no	—
2355	C₄⋊C₄	—	53	2	no	—
2356	C₄⋊C₄	—	53	2	no	—
2357	C₄⋊C₄	—	53	4	no	—
2358	C₄⋊C₄	—	53	2	no	—
2359	C₄⋊C₄	—	53	2	no	—
2360	C₄⋊C₄	—	53	2	no	—
2361	C₄⋊C₄	—	53	2	no	—
2362	C₄⋊C₄	—	53	2	no	—
2363	C₄⋊C₄	—	53	2	no	—
2364	C₄⋊C₄	—	53	2	no	—
2365	C₄⋊C₄	—	53	2	no	—
2366	C₄⋊C₄	—	53	1	no	—
2367	C₄⋊C₄	—	53	2	no	—
2368	C₄⋊C₄	—	53	2	no	—
2369	C₄⋊C₄	—	53	2	no	—
2370	C₄⋊C₄	—	53	2	no	—
2371	C₄⋊C₄	—	53	2	no	—
2372	C₄⋊C₄	—	53	2	no	—
2373	C₄⋊C₄	—	53	4	no	—
2374	C₄⋊C₄	—	53	4	no	—
2375	C₄⋊C₄	—	53	4	no	—
2376	C₄⋊C₄	—	53	2	no	—
2377	C₄⋊C₄	—	53	1	no	—
2378	C₄⋊C₄	—	53	2	no	—
2379	C₄⋊C₄	—	53	1	no	—
2380	C₄⋊C₄	—	53	4	no	—
2381	C₄⋊C₄	—	53	2	no	—
2382	C₄⋊C₄	—	53	4	no	—
2383	C₄⋊C₄	—	53	4	no	—
2384	C₄⋊C₄	—	53	4	no	—
2385	C₄⋊C₄	—	53	2	no	—
2386	C₄⋊C₄	—	53	2	no	—
2387	C₄⋊C₄	—	53	2	no	—
2388	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2389	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2390	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2391	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2392	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2393	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2394	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2395	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2396	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2397	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2398	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2399	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2400	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2401	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2402	C₂²⋊C₄	—	53	2	no	—
2403	C₂²⋊C₄	—	53	2	no	—
2404	C₂²⋊C₄	—	53	4	no	—
2405	C₂²⋊C₄	—	53	2	no	—
2406	C₂²⋊C₄	—	53	2	no	—
2407	C₂²⋊C₄	—	53	4	no	—
2408	C₂²⋊C₄	—	53	4	no	—
2409	C₂²⋊C₄	—	53	4	no	—
2410	C₂²⋊C₄	—	53	4	no	—
2411	C₂²⋊C₄	—	53	4	no	—
2412	C₂²⋊C₄	—	53	4	no	—
2413	C₂²⋊C₄	—	53	2	no	—
2414	C₂²⋊C₄	—	53	2	no	—
2415	C₂²⋊C₄	—	53	4	no	—
2416	C₂²⋊C₄	—	53	2	no	—
2417	C₂²⋊C₄	—	53	4	no	—
2418	C₂²⋊C₄	—	53	2	no	—
2419	C₂²⋊C₄	—	53	2	no	—
2420	C₂²⋊C₄	—	53	2	no	—
2421	C₂²⋊C₄	—	53	2	no	—
2422	C₂²⋊C₄	—	53	2	no	—
2423	C₂²⋊C₄	—	53	4	no	—
2424	C₂²⋊C₄	—	53	4	no	—
2425	C₂²⋊C₄	—	53	2	no	—
2426	C₂²⋊C₄	—	53	2	no	—
2427	C₂²⋊C₄	—	53	2	no	—
2428	C₂²⋊C₄	—	53	2	no	—
2429	C₂²⋊C₄	—	53	4	no	—
2430	C₂²⋊C₄	—	53	4	no	—
2431	C₂²⋊C₄	—	53	4	no	—
2432	C₂²⋊C₄	—	53	4	no	—
2433	C₂²⋊C₄	—	53	4	no	—
2434	C₂²⋊C₄	—	53	4	no	—
2435	C₂²⋊C₄	—	53	4	no	—
2436	C₂²⋊C₄	—	53	4	no	—
2437	C₂²⋊C₄	—	53	4	no	—
2438	C₂²⋊C₄	—	53	4	no	—
2439	C₂²⋊C₄	—	53	4	no	—
2440	C₂²⋊C₄	—	53	4	no	—
2441	C₂²⋊C₄	—	53	2	no	—
2442	C₂²⋊C₄	—	53	2	no	—
2443	C₂²⋊C₄	—	53	2	no	—
2444	C₂²⋊C₄	—	53	2	no	—
2445	C₂²⋊C₄	—	53	4	no	—
2446	C₂²⋊C₄	—	53	4	no	—
2447	C₂²⋊C₄	—	53	2	no	—
2448	C₂²⋊C₄	—	53	2	no	—
2449	C₂²⋊C₄	—	53	4	no	—
2450	C₂²⋊C₄	—	53	4	no	—
2451	C₂²⋊C₄	—	53	2	no	—
2452	C₂²⋊C₄	—	53	2	no	—
2453	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2454	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2455	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2456	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2457	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2458	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2459	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2460	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2461	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2462	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2463	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2464	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2465	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2466	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2467	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2468	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2469	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2470	C₄²	—	53	1	no	—
2471	C₄²	—	53	1	no	—
2472	C₄²	—	53	1	no	—
2473	C₄²	—	53	2	no	—
2474	C₄²	—	53	2	no	—
2475	C₄²	—	53	2	no	—
2476	C₄²	—	53	1	no	—
2477	C₄²	—	53	1	no	—
2478	C₄²	—	53	1	no	—
2479	C₄²	—	53	1	no	—
2480	C₄²	—	53	1	no	—
2481	C₄²	—	53	1	no	—
2482	C₄²	—	53	2	no	—
2483	C₄²	—	53	2	no	—
2484	C₄²	—	53	2	no	—
2485	C₄²	—	53	1	no	—
2486	C₄²	—	53	1	no	—
2487	C₄²	—	53	1	no	—
2488	C₄²	—	53	2	no	—
2489	C₄²	—	53	2	no	—
2490	C₄²	—	53	2	no	—
2491	C₄²	—	53	4	no	—
2492	C₄²	—	53	4	no	—
2493	C₄²	—	53	4	no	—
2494	C₄²	—	53	2	no	—
2495	C₄²	—	53	2	no	—
2496	C₄²	—	53	2	no	—
2497	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2498	C₄²	C₂³×D₅₃	1	2	yes	—
2499	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2500	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2501	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2502	C₄²	C₂³×D₅₃	1	2	yes	—
2503	C₄²	C₂³×D₅₃	1	2	yes	—
2504	C₄²	C₂³×D₅₃	1	4	yes	—
2505	C₄²	C₂³×D₅₃	1	2	yes	—
2506	C₂³	—	2	8	no	—
2507	C₂³	—	4	4	no	—
2508	C₂³	—	4	4	no	—
2509	C₂³	—	53	1	no	—
2510	C₂³	—	53	8	no	—
2511	C₂³	—	53	2	no	—
2512	C₂³	—	53	2	no	—
2513	C₂³	—	53	4	no	—
2514	C₂³	—	53	1	no	—
2515	C₂³	—	106	4	no	—
2516	C₂³	—	106	4	no	—
2517	C₂³	—	106	8	no	—
2518	C₂³	—	106	8	no	—
2519	C₂³	—	106	2	no	—
2520	C₂³	—	106	2	no	—
2521	C₂³	—	106	4	no	—
2522	C₂³	—	106	8	no	—
2523	C₂³	—	106	2	no	—
2524	C₂³	—	106	8	no	—
2525	C₂³	—	106	8	no	—
2526	C₂³	—	106	4	no	—
2527	C₂³	—	106	4	no	—
2528	C₂³	—	106	8	no	—
2529	C₂³	—	424	32	no	—
2530	C₂³	—	212	4	no	—
2531	C₂³	—	212	4	no	—
2532	C₂³	—	212	4	no	—
2533	C₂³	—	212	4	no	—
2534	C₂³	—	212	4	no	—
2535	C₂³	—	212	4	no	—
2536	C₂³	C₂⁴×D₅₃	1	2	yes	—
2537	C₂³	C₂⁴×D₅₃	1	4	yes	—
2538	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2539	C₂³	C₂⁴×D₅₃	1	2	yes	—
2540	Q₈	—	2	2	no	—
2541	Q₈	—	2	2	no	—
2542	Q₈	—	2	4	no	—
2543	Q₈	—	4	4	no	—
2544	Q₈	—	106	4	no	—
2545	Q₈	—	106	8	no	—
2546	Q₈	—	106	4	no	—
2547	Q₈	—	106	2	no	—
2548	Q₈	—	106	2	no	—
2549	Q₈	—	106	4	no	—
2550	Q₈	—	212	4	no	—
2551	Q₈	—	212	4	no	—
2552	Q₈	—	212	4	no	—
2553	D₄	—	2	8	no	—
2554	D₄	—	2	4	no	—
2555	D₄	—	2	4	no	—
2556	D₄	—	2	2	no	—
2557	D₄	—	2	4	no	—
2558	D₄	—	4	4	no	—
2559	D₄	—	4	2	no	—
2560	D₄	—	4	2	no	—
2561	D₄	—	4	4	no	—
2562	D₄	—	53	8	no	—
2563	D₄	—	53	4	no	—
2564	D₄	—	106	8	no	—
2565	D₄	—	106	4	no	—
2566	D₄	—	106	8	no	—
2567	D₄	—	106	4	no	—
2568	D₄	—	106	8	no	—
2569	D₄	—	106	8	no	—
2570	D₄	—	106	4	no	—
2571	D₄	—	106	8	no	—
2572	D₄	—	106	4	no	—
2573	D₄	—	106	4	no	—
2574	D₄	—	106	2	no	—
2575	D₄	—	106	4	no	—
2576	D₄	—	212	2	no	—
2577	D₄	—	212	2	no	—
2578	D₄	—	212	4	no	—
2579	D₄	—	212	4	no	—
2580	D₄	—	212	2	no	—
2581	D₄	—	212	2	no	—
2582	D₄	—	212	4	no	—
2583	D₄	—	212	4	no	—
2584	D₄	—	212	4	no	—
2585	D₄	—	212	4	no	—
2586	D₄	—	212	4	no	—
2587	D₄	#41×D₅₃	1	4	yes	complemented
2588	C₂×C₄	—	2	4	no	—
2589	C₂×C₄	—	2	4	no	—
2590	C₂×C₄	—	2	2	no	—
2591	C₂×C₄	—	2	4	no	—
2592	C₂×C₄	—	2	2	no	—
2593	C₂×C₄	—	4	2	no	—
2594	C₂×C₄	—	4	4	no	—
2595	C₂×C₄	—	4	1	no	—
2596	C₂×C₄	—	4	4	no	—
2597	C₂×C₄	—	4	4	no	—
2598	C₂×C₄	—	53	1	no	—
2599	C₂×C₄	—	53	1	no	—
2600	C₂×C₄	—	53	4	no	—
2601	C₂×C₄	—	53	4	no	—
2602	C₂×C₄	—	53	1	no	—
2603	C₂×C₄	—	53	1	no	—
2604	C₂×C₄	—	53	2	no	—
2605	C₂×C₄	—	53	2	no	—
2606	C₂×C₄	—	53	2	no	—
2607	C₂×C₄	—	53	1	no	—
2608	C₂×C₄	—	53	1	no	—
2609	C₂×C₄	—	53	2	no	—
2610	C₂×C₄	—	53	2	no	—
2611	C₂×C₄	—	53	2	no	—
2612	C₂×C₄	—	53	4	no	—
2613	C₂×C₄	—	106	4	no	—
2614	C₂×C₄	—	106	4	no	—
2615	C₂×C₄	—	106	2	no	—
2616	C₂×C₄	—	106	2	no	—
2617	C₂×C₄	—	106	2	no	—
2618	C₂×C₄	—	106	2	no	—
2619	C₂×C₄	—	106	4	no	—
2620	C₂×C₄	—	106	4	no	—
2621	C₂×C₄	—	106	4	no	—
2622	C₂×C₄	—	106	4	no	—
2623	C₂×C₄	—	106	4	no	—
2624	C₂×C₄	—	106	4	no	—
2625	C₂×C₄	—	106	2	no	—
2626	C₂×C₄	—	106	4	no	—
2627	C₂×C₄	—	106	8	no	—
2628	C₂×C₄	—	106	4	no	—
2629	C₂×C₄	—	106	2	no	—
2630	C₂×C₄	—	106	4	no	—
2631	C₂×C₄	—	106	4	no	—
2632	C₂×C₄	—	106	2	no	—
2633	C₂×C₄	—	106	2	no	—
2634	C₂×C₄	—	106	4	no	—
2635	C₂×C₄	—	106	4	no	—
2636	C₂×C₄	—	106	2	no	—
2637	C₂×C₄	—	106	4	no	—
2638	C₂×C₄	—	106	2	no	—
2639	C₂×C₄	—	212	2	no	—
2640	C₂×C₄	—	212	2	no	—
2641	C₂×C₄	—	212	4	no	—
2642	C₂×C₄	—	212	1	no	—
2643	C₂×C₄	—	212	4	no	—
2644	C₂×C₄	—	212	1	no	—
2645	C₂×C₄	—	212	4	no	—
2646	C₂×C₄	—	212	4	no	—
2647	C₂×C₄	—	212	4	no	—
2648	C₂×C₄	—	212	4	no	—
2649	C₂×C₄	—	212	2	no	—
2650	C₂×C₄	—	212	4	no	—
2651	C₂×C₄	—	212	1	no	—
2652	C₂×C₄	—	212	4	no	—
2653	C₂×C₄	—	212	4	no	—
2654	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2655	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2656	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2657	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2658	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2659	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2660	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2661	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2662	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2663	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2664	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2665	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2666	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2667	C₂²	—	2	2	no	—
2668	C₂²	—	2	2	no	—
2669	C₂²	—	2	1	no	—
2670	C₂²	—	2	2	no	—
2671	C₂²	—	2	4	no	—
2672	C₂²	—	2	1	no	—
2673	C₂²	—	2	4	no	—
2674	C₂²	—	2	2	no	—
2675	C₂²	—	2	1	no	—
2676	C₂²	—	2	4	no	—
2677	C₂²	—	2	2	no	—
2678	C₂²	—	8	8	no	—
2679	C₂²	—	53	2	no	—
2680	C₂²	—	53	2	no	—
2681	C₂²	—	53	2	no	—
2682	C₂²	—	53	4	no	—
2683	C₂²	—	106	16	no	—
2684	C₂²	—	106	2	no	—
2685	C₂²	—	106	2	no	—
2686	C₂²	—	106	1	no	—
2687	C₂²	—	106	2	no	—
2688	C₂²	—	106	4	no	—
2689	C₂²	—	106	1	no	—
2690	C₂²	—	106	4	no	—
2691	C₂²	—	106	2	no	—
2692	C₂²	—	106	1	no	—
2693	C₂²	—	106	4	no	—
2694	C₂²	—	106	2	no	—
2695	C₂²	—	424	8	no	—
2696	C₂²	—	424	8	no	—
2697	C₂²	—	424	8	no	—
2698	C₂²	—	212	8	no	—
2699	C₂²	—	212	16	no	—
2700	C₂²	—	212	4	no	—
2701	C₂²	C₂×#41×D₅₃	1	4	yes	—
2702	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2703	C₄	—	2	1	no	—
2704	C₄	—	2	2	no	—
2705	C₄	—	2	2	no	—
2706	C₄	—	2	1	no	—
2707	C₄	—	2	2	no	—
2708	C₄	—	2	4	no	—
2709	C₄	—	2	2	no	—
2710	C₄	—	2	1	no	—
2711	C₄	—	2	2	no	—
2712	C₄	—	2	2	no	—
2713	C₄	—	2	1	no	—
2714	C₄	—	53	2	no	—
2715	C₄	—	53	2	no	—
2716	C₄	—	106	1	no	—
2717	C₄	—	106	2	no	—
2718	C₄	—	106	2	no	—
2719	C₄	—	106	1	no	—
2720	C₄	—	106	2	no	—
2721	C₄	—	106	4	no	—
2722	C₄	—	106	2	no	—
2723	C₄	—	106	1	no	—
2724	C₄	—	106	2	no	—
2725	C₄	—	106	2	no	—
2726	C₄	—	106	1	no	—
2727	C₄	C₂×#41×D₅₃	1	2	yes	—
2728	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2729	C₂	—	2	4	no	—
2730	C₂	—	4	2	no	—
2731	C₂	—	4	4	no	—
2732	C₂	—	4	1	no	—
2733	C₂	—	53	4	no	—
2734	C₂	—	106	4	no	—
2735	C₂	—	212	2	no	—
2736	C₂	—	212	4	no	—
2737	C₂	—	212	1	no	—
2738	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2739	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2740	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3514	C₂
hypercenter	#3514	D₅₃
hypocenter	C₅₃	C₂×#3514
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3514

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288679	C₂	semidirect
2. #20288678	C₂	semidirect
3. #20288677	C₂	semidirect
4. #20288676	C₂	semidirect
5. #20288675	C₂	semidirect
6. #20288674	C₂	semidirect
7. #20288673	C₂	semidirect
8. #20288672	C₂	semidirect
9. #20288671	C₂	semidirect
10. #20288670	C₂	semidirect
11. #20288669	C₂	semidirect
12. #20288668	C₂	semidirect
13. #20288667	C₂	semidirect
14. #20288666	C₂	semidirect
15. #20288665	C₂	semidirect
16. #20288664	C₂	semidirect
17. #20288663	C₂	semidirect
18. #559×D₅₃	C₂	semidirect
19. #556×D₅₃	C₂	semidirect
20. #555×D₅₃	C₂	semidirect
21. #551×D₅₃	C₂	semidirect
22. D₄×Q₈×D₅₃	C₂	semidirect
23. #548×D₅₃	C₂	semidirect
24. #546×D₅₃	C₂	semidirect
25. #546×D₅₃	C₂	semidirect
26. D₄²×D₅₃	C₂	semidirect
27. #542×D₅₃	C₂	semidirect
28. #538×D₅₃	C₂	semidirect
29. #532×D₅₃	C₂	semidirect
30. #529×D₅₃	C₂	semidirect
31. #529×D₅₃	C₂	semidirect
32. C₂×#124×D₅₃	C₂	semidirect
33. #518×D₅₃	C₂	semidirect
34. C₄×#41×D₅₃	C₂	semidirect
35. C₅₃×#3514	C₂	semidirect
37. C₂×#41×D₅₃	C₂²	semidirect
38. C₂²×Q₈×D₅₃	C₂²	semidirect
41. #16811359	C₂²	semidirect
42. #16811358	C₂²	semidirect
43. #16811358	C₂²	semidirect
44. #16811357	C₂²	semidirect
45. #16811356	C₂²	semidirect
46. #16811356	C₂²	semidirect
47. #16811355	C₂²	semidirect
48. #16811355	C₂²	semidirect
49. #16811347	C₂²	semidirect
50. #16811346	C₂²	semidirect
51. #16811345	C₂²	semidirect
52. #16811344	C₂²	semidirect
53. #16811343	C₂²	semidirect
54. #16811342	C₂²	semidirect
55. #16811341	C₂²	semidirect
56. #16811340	C₂²	semidirect
57. #16811339	C₂²	semidirect
58. #16811338	C₂²	semidirect
59. #16811338	C₂²	semidirect
60. #16811337	C₂²	semidirect
61. #16811337	C₂²	semidirect
62. #16811337	C₂²	semidirect
63. #16811336	C₂²	semidirect
64. #16811336	C₂²	semidirect
65. #16811336	C₂²	semidirect
66. #16811335	C₂²	semidirect
67. #16811335	C₂²	semidirect
68. #16811304	C₂²	semidirect
69. #16811303	C₂²	semidirect
70. #16811302	C₂²	semidirect
71. #16811302	C₂²	semidirect
72. #16811301	C₂²	semidirect
73. #16811300	C₂²	semidirect
74. #16811300	C₂²	semidirect
75. #16811299	C₂²	semidirect
76. #16811299	C₂²	semidirect
77. #16811298	C₂²	semidirect
78. #16811298	C₂²	semidirect
79. #16811297	C₂²	semidirect
80. #16811297	C₂²	semidirect
81. #16811296	C₂²	semidirect
82. #16811296	C₂²	semidirect
83. Q₈×D₂₁₂	C₂²	semidirect
84. D₄×Dic₁₀₆	C₂²	semidirect
85. D₄×Dic₁₀₆	C₂²	semidirect
86. #16811288	C₂²	semidirect
87. #16811288	C₂²	semidirect
88. Q₈×C₂²⋊D₅₃	C₂²	semidirect
89. #16811286	C₂²	semidirect
90. #16811286	C₂²	semidirect
91. #16811285	C₂²	semidirect
92. #16811284	C₂²	semidirect
93. #16811283	C₂²	semidirect
94. #16811283	C₂²	semidirect
95. #16811282	C₂²	semidirect
96. #16811282	C₂²	semidirect
97. #16811281	C₂²	semidirect
98. #16811281	C₂²	semidirect
99. #16811280	C₂²	semidirect
100. #16811279	C₂²	semidirect
101. #16811279	C₂²	semidirect
102. #16811270	C₂²	semidirect
103. #16811270	C₂²	semidirect
104. #16811269	C₂²	semidirect
105. #16811269	C₂²	semidirect
106. #16811268	C₂²	semidirect
107. #16811268	C₂²	semidirect
108. #16811267	C₂²	semidirect
109. #16811267	C₂²	semidirect
110. #16811266	C₂²	semidirect
111. #16811266	C₂²	semidirect
112. #16811265	C₂²	semidirect
113. #16811265	C₂²	semidirect
114. #16811264	C₂²	semidirect
115. #16811264	C₂²	semidirect
116. #16811263	C₂²	semidirect
117. #16811263	C₂²	semidirect
118. #16811262	C₂²	semidirect
119. #16811262	C₂²	semidirect
120. #16811261	C₂²	semidirect
121. #16811261	C₂²	semidirect
122. #16811260	C₂²	semidirect
123. #16811260	C₂²	semidirect
124. D₄×D₂₁₂	C₂²	semidirect
125. D₄×D₂₁₂	C₂²	semidirect
126. #16811258	C₂²	semidirect
127. #16811257	C₂²	semidirect
128. #16811257	C₂²	semidirect
129. D₄×C₂²⋊D₅₃	C₂²	semidirect
130. D₄×C₂²⋊D₅₃	C₂²	semidirect
131. #16811255	C₂²	semidirect
132. #16811247	C₂²	semidirect
133. #16811246	C₂²	semidirect
134. #16811245	C₂²	semidirect
135. #16811244	C₂²	semidirect
136. #16811243	C₂²	semidirect
137. #16811242	C₂²	semidirect
138. #16811241	C₂²	semidirect
139. #16811240	C₂²	semidirect
140. #16811239	C₂²	semidirect
141. #16811238	C₂²	semidirect
142. #16811237	C₂²	semidirect
143. #16811213	C₂²	semidirect
144. #16811212	C₂²	semidirect
145. #16811212	C₂²	semidirect
146. #16811211	C₂²	semidirect
147. #16811210	C₂²	semidirect
148. #16811209	C₂²	semidirect
149. #16811209	C₂²	semidirect
150. #16811208	C₂²	semidirect
151. #16811208	C₂²	semidirect
152. #16811207	C₂²	semidirect
153. #16811207	C₂²	semidirect
154. #16811206	C₂²	semidirect
155. #16811206	C₂²	semidirect
156. #16811205	C₂²	semidirect
157. #16811205	C₂²	semidirect
158. #16811174	C₂²	semidirect
159. #16811173	C₂²	semidirect
160. #16811172	C₂²	semidirect
161. #16811171	C₂²	semidirect
162. #16811170	C₂²	semidirect
163. #16811170	C₂²	semidirect
164. #16811169	C₂²	semidirect
165. #16811168	C₂²	semidirect
166. #16811168	C₂²	semidirect
167. C₄⋊Q₈×D₅₃	C₂²	semidirect
168. C₄⋊Q₈×D₅₃	C₂²	semidirect
170. #16811160	C₂²	semidirect
171. #16811160	C₂²	semidirect
172. #16811159	C₂²	semidirect
173. #16811159	C₂²	semidirect
174. #16811158	C₂²	semidirect
175. #16811158	C₂²	semidirect
176. #16811157	C₂²	semidirect
177. #16811157	C₂²	semidirect
178. #16811156	C₂²	semidirect
179. #16811156	C₂²	semidirect
180. #16811155	C₂²	semidirect
181. #16811155	C₂²	semidirect
182. #16811154	C₂²	semidirect
183. #16811154	C₂²	semidirect
184. #16811153	C₂²	semidirect
185. #16811153	C₂²	semidirect
186. #16811152	C₂²	semidirect
187. #16811152	C₂²	semidirect
188. #16811151	C₂²	semidirect
189. #16811151	C₂²	semidirect
190. #16811150	C₂²	semidirect
191. #16811150	C₂²	semidirect
192. #126×D₅₃	C₂²	semidirect
193. #126×D₅₃	C₂²	semidirect
194. #126×D₅₃	C₂²	semidirect
195. #125×D₅₃	C₂²	semidirect
196. C₂×#13133206	C₂²	semidirect
197. C₂×#13133205	C₂²	semidirect
198. C₂×#13133204	C₂²	semidirect
199. C₂×#13133203	C₂²	semidirect
200. C₂×#13133203	C₂²	semidirect
203. #124×D₅₃	C₂²	semidirect
204. #124×D₅₃	C₂²	semidirect
205. #124×D₅₃	C₂²	semidirect
206. #124×D₅₃	C₂²	semidirect
207. #124×D₅₃	C₂²	semidirect
208. #124×D₅₃	C₂²	semidirect
209. #124×D₅₃	C₂²	semidirect
210. #124×D₅₃	C₂²	semidirect
211. #124×D₅₃	C₂²	semidirect
212. #124×D₅₃	C₂²	semidirect
213. #124×D₅₃	C₂²	semidirect
214. #124×D₅₃	C₂²	semidirect
215. #123×D₅₃	C₂²	semidirect
216. #123×D₅₃	C₂²	semidirect
217. #123×D₅₃	C₂²	semidirect
218. #123×D₅₃	C₂²	semidirect
219. C₂²⋊Q₈×D₅₃	C₂²	semidirect
220. C₂²⋊Q₈×D₅₃	C₂²	semidirect
221. C₂²⋊Q₈×D₅₃	C₂²	semidirect
222. C₂²⋊Q₈×D₅₃	C₂²	semidirect
223. C₂²⋊Q₈×D₅₃	C₂²	semidirect
227. #121×D₅₃	C₂²	semidirect
228. #121×D₅₃	C₂²	semidirect
229. #121×D₅₃	C₂²	semidirect
230. #121×D₅₃	C₂²	semidirect
232. #120×D₅₃	C₂²	semidirect
233. #16811098	C₂²	semidirect
234. #16811097	C₂²	semidirect
235. #16811097	C₂²	semidirect
236. #16811096	C₂²	semidirect
237. #16811096	C₂²	semidirect
238. #16811095	C₂²	semidirect
239. #16811095	C₂²	semidirect
240. #16811095	C₂²	semidirect
241. #16811095	C₂²	semidirect
242. #16811095	C₂²	semidirect
243. #16811095	C₂²	semidirect
244. #41×Dic₅₃	C₂²	semidirect
245. C₄×#11719949	C₂²	semidirect
246. C₄×#11719949	C₂²	semidirect
247. C₄×#11719945	C₂²	semidirect
248. C₄×#11719945	C₂²	semidirect
249. #16811091	C₂²	semidirect
250. #16811091	C₂²	semidirect
251. C₄×#11719947	C₂²	semidirect
252. C₄×#11719947	C₂²	semidirect
253. C₄×#11719947	C₂²	semidirect
254. C₄×#11719947	C₂²	semidirect
255. C₄×Q₈×D₅₃	C₂²	semidirect
256. C₄×Q₈×D₅₃	C₂²	semidirect
257. C₄×Q₈×D₅₃	C₂²	semidirect
258. C₄×Q₈×D₅₃	C₂²	semidirect
263. C₄×D₄×D₅₃	C₂²	semidirect
264. C₄×D₄×D₅₃	C₂²	semidirect
265. C₄×D₄×D₅₃	C₂²	semidirect
266. C₄×D₄×D₅₃	C₂²	semidirect
267. C₄×D₄×D₅₃	C₂²	semidirect
268. C₄×D₄×D₅₃	C₂²	semidirect
269. C₄×D₄×D₅₃	C₂²	semidirect
270. C₄×D₄×D₅₃	C₂²	semidirect
271. C₄×D₄×D₅₃	C₂²	semidirect
272. #117×D₅₃	C₂²	semidirect
273. #117×D₅₃	C₂²	semidirect
274. #117×D₅₃	C₂²	semidirect
275. #117×D₅₃	C₂²	semidirect
276. #117×D₅₃	C₂²	semidirect
277. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
278. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
279. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₄²×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#559	C₂²	semidirect
283. C₅₃×#556	C₂²	semidirect
284. C₅₃×#555	C₂²	semidirect
285. C₅₃×#551	C₂²	semidirect
286. D₄×Q₈×C₅₃	C₂²	semidirect
287. C₅₃×#548	C₂²	semidirect
288. C₅₃×#546	C₂²	semidirect
289. C₅₃×#546	C₂²	semidirect
290. D₄²×C₅₃	C₂²	semidirect
291. C₅₃×#542	C₂²	semidirect
292. C₅₃×#538	C₂²	semidirect
293. C₅₃×#532	C₂²	semidirect
294. C₅₃×#529	C₂²	semidirect
295. C₅₃×#529	C₂²	semidirect
296. C₂×#124×C₅₃	C₂²	semidirect
297. C₅₃×#518	C₂²	semidirect
298. C₄×#41×C₅₃	C₂²	semidirect
301. C₂×#11719949	C₂³	semidirect
304. C₂×#11719945	C₂³	semidirect
305. C₂×#11719945	C₂³	semidirect
308. C₂×#11719947	C₂³	semidirect
309. C₂×#11719947	C₂³	semidirect
312. C₂²×Dic₁₀₆	C₂³	semidirect
313. C₂²×Dic₁₀₆	C₂³	semidirect
319. C₂×Q₈×D₅₃	C₂³	semidirect
320. C₂×Q₈×D₅₃	C₂³	semidirect
321. C₂×Q₈×D₅₃	C₂³	semidirect
354. #13133217	C₂³	semidirect
355. #13133217	C₂³	semidirect
356. #13133216	C₂³	semidirect
357. #13133216	C₂³	semidirect
358. #13133216	C₂³	semidirect
359. #13133216	C₂³	semidirect
360. #13133216	C₂³	semidirect
361. #13133215	C₂³	semidirect
362. #13133215	C₂³	semidirect
367. #13133212	C₂³	semidirect
368. #13133212	C₂³	semidirect
369. #13133212	C₂³	semidirect
370. #13133212	C₂³	semidirect
371. #13133212	C₂³	semidirect
372. #13133212	C₂³	semidirect
373. #13133212	C₂³	semidirect
374. #13133212	C₂³	semidirect
375. #13133212	C₂³	semidirect
376. #13133211	C₂³	semidirect
377. #13133211	C₂³	semidirect
378. #13133211	C₂³	semidirect
379. #13133210	C₂³	semidirect
380. #13133210	C₂³	semidirect
381. #13133210	C₂³	semidirect
382. #13133210	C₂³	semidirect
383. #13133210	C₂³	semidirect
384. #13133210	C₂³	semidirect
385. #13133210	C₂³	semidirect
386. #13133210	C₂³	semidirect
387. #13133210	C₂³	semidirect
388. #13133209	C₂³	semidirect
389. #13133208	C₂³	semidirect
390. #13133208	C₂³	semidirect
391. #13133207	C₂³	semidirect
392. #13133207	C₂³	semidirect
395. #13133206	C₂³	semidirect
396. #13133206	C₂³	semidirect
397. #13133206	C₂³	semidirect
398. #13133206	C₂³	semidirect
399. #13133206	C₂³	semidirect
400. #13133206	C₂³	semidirect
403. #13133205	C₂³	semidirect
404. #13133205	C₂³	semidirect
405. #13133205	C₂³	semidirect
406. #13133205	C₂³	semidirect
407. #13133205	C₂³	semidirect
408. #13133205	C₂³	semidirect
411. #13133204	C₂³	semidirect
412. #13133204	C₂³	semidirect
413. #13133204	C₂³	semidirect
414. #13133204	C₂³	semidirect
415. #13133204	C₂³	semidirect
416. #13133204	C₂³	semidirect
421. #13133203	C₂³	semidirect
422. #13133203	C₂³	semidirect
423. #13133203	C₂³	semidirect
424. #13133203	C₂³	semidirect
425. #13133203	C₂³	semidirect
426. #13133203	C₂³	semidirect
427. #13133203	C₂³	semidirect
428. #13133203	C₂³	semidirect
429. #13133203	C₂³	semidirect
430. #13133203	C₂³	semidirect
431. #13133203	C₂³	semidirect
432. #13133203	C₂³	semidirect
433. #13133203	C₂³	semidirect
434. #13133203	C₂³	semidirect
435. #13133203	C₂³	semidirect
436. #13133203	C₂³	semidirect
437. #13133203	C₂³	semidirect
438. #13133203	C₂³	semidirect
439. #13133202	C₂³	semidirect
440. #13133202	C₂³	semidirect
441. #13133202	C₂³	semidirect
442. #13133202	C₂³	semidirect
443. #13133202	C₂³	semidirect
444. #13133202	C₂³	semidirect
445. #13133202	C₂³	semidirect
446. #13133202	C₂³	semidirect
447. #13133201	C₂³	semidirect
448. #13133201	C₂³	semidirect
449. #13133201	C₂³	semidirect
450. #13133201	C₂³	semidirect
451. #13133200	C₂³	semidirect
452. #13133200	C₂³	semidirect
453. #13133200	C₂³	semidirect
454. #13133200	C₂³	semidirect
455. #13133199	C₂³	semidirect
456. #13133199	C₂³	semidirect
457. #13133199	C₂³	semidirect
458. #13133199	C₂³	semidirect
459. #13133199	C₂³	semidirect
460. #13133199	C₂³	semidirect
461. #13133199	C₂³	semidirect
462. #13133199	C₂³	semidirect
463. #13133198	C₂³	semidirect
464. #13133198	C₂³	semidirect
465. #13133198	C₂³	semidirect
466. #13133198	C₂³	semidirect
467. #13133197	C₂³	semidirect
468. #13133197	C₂³	semidirect
469. #13133197	C₂³	semidirect
470. #13133197	C₂³	semidirect
471. #13133197	C₂³	semidirect
472. #13133196	C₂³	semidirect
473. #13133196	C₂³	semidirect
474. #13133196	C₂³	semidirect
475. #13133196	C₂³	semidirect
476. #13133196	C₂³	semidirect
477. #13133195	C₂³	semidirect
478. #13133195	C₂³	semidirect
479. #13133195	C₂³	semidirect
480. #13133195	C₂³	semidirect
481. #13133195	C₂³	semidirect
482. #13133195	C₂³	semidirect
483. #13133195	C₂³	semidirect
484. #13133194	C₂³	semidirect
485. #13133194	C₂³	semidirect
486. #13133194	C₂³	semidirect
487. #13133194	C₂³	semidirect
488. #13133194	C₂³	semidirect
489. #13133194	C₂³	semidirect
490. #13133194	C₂³	semidirect
491. #13133193	C₂³	semidirect
492. #13133193	C₂³	semidirect
493. #13133193	C₂³	semidirect
494. #13133193	C₂³	semidirect
495. #13133193	C₂³	semidirect
499. #13133192	C₂³	semidirect
500. #13133192	C₂³	semidirect
501. #13133192	C₂³	semidirect
502. #13133192	C₂³	semidirect
506. #13133191	C₂³	semidirect
507. #13133191	C₂³	semidirect
508. #13133191	C₂³	semidirect
509. #13133191	C₂³	semidirect
513. #13133190	C₂³	semidirect
514. #13133190	C₂³	semidirect
515. #13133190	C₂³	semidirect
516. #13133190	C₂³	semidirect
517. #13133190	C₂³	semidirect
518. #13133190	C₂³	semidirect
522. #13133189	C₂³	semidirect
523. #13133189	C₂³	semidirect
524. #13133189	C₂³	semidirect
525. #13133189	C₂³	semidirect
526. #13133189	C₂³	semidirect
527. #13133189	C₂³	semidirect
531. #13133188	C₂³	semidirect
532. #13133188	C₂³	semidirect
533. #13133188	C₂³	semidirect
534. #13133188	C₂³	semidirect
538. #13133187	C₂³	semidirect
539. #13133187	C₂³	semidirect
540. #13133187	C₂³	semidirect
542. #13133186	C₂³	semidirect
546. #13133185	C₂³	semidirect
547. #13133185	C₂³	semidirect
548. #13133185	C₂³	semidirect
549. Q₈×Dic₅₃	C₂³	semidirect
550. Q₈×Dic₅₃	C₂³	semidirect
551. Q₈×Dic₅₃	C₂³	semidirect
552. Q₈×Dic₅₃	C₂³	semidirect
553. C₄×Dic₁₀₆	C₂³	semidirect
554. C₄×Dic₁₀₆	C₂³	semidirect
555. C₄×Dic₁₀₆	C₂³	semidirect
556. C₄×Dic₁₀₆	C₂³	semidirect
557. C₄×Dic₁₀₆	C₂³	semidirect
558. C₄×Dic₁₀₆	C₂³	semidirect
559. C₄×Dic₁₀₆	C₂³	semidirect
560. C₄×Dic₁₀₆	C₂³	semidirect
561. #13133182	C₂³	semidirect
562. #13133182	C₂³	semidirect
563. #13133182	C₂³	semidirect
564. #13133182	C₂³	semidirect
565. #13133182	C₂³	semidirect
566. #13133182	C₂³	semidirect
567. #13133182	C₂³	semidirect
568. #13133182	C₂³	semidirect
573. C₄×D₂₁₂	C₂³	semidirect
574. C₄×D₂₁₂	C₂³	semidirect
575. C₄×D₂₁₂	C₂³	semidirect
576. C₄×D₂₁₂	C₂³	semidirect
577. C₄×D₂₁₂	C₂³	semidirect
578. C₄×D₂₁₂	C₂³	semidirect
579. C₄×D₂₁₂	C₂³	semidirect
580. C₄×D₂₁₂	C₂³	semidirect
581. C₄×D₂₁₂	C₂³	semidirect
586. D₄×Dic₅₃	C₂³	semidirect
587. D₄×Dic₅₃	C₂³	semidirect
588. D₄×Dic₅₃	C₂³	semidirect
589. D₄×Dic₅₃	C₂³	semidirect
590. D₄×Dic₅₃	C₂³	semidirect
591. D₄×Dic₅₃	C₂³	semidirect
592. D₄×Dic₅₃	C₂³	semidirect
593. D₄×Dic₅₃	C₂³	semidirect
594. D₄×Dic₅₃	C₂³	semidirect
599. #13133179	C₂³	semidirect
600. #13133179	C₂³	semidirect
601. #13133179	C₂³	semidirect
602. #13133179	C₂³	semidirect
603. #13133179	C₂³	semidirect
604. #13133179	C₂³	semidirect
605. #13133179	C₂³	semidirect
606. #13133179	C₂³	semidirect
607. #13133179	C₂³	semidirect
612. C₄×C₂²⋊D₅₃	C₂³	semidirect
613. C₄×C₂²⋊D₅₃	C₂³	semidirect
614. C₄×C₂²⋊D₅₃	C₂³	semidirect
615. C₄×C₂²⋊D₅₃	C₂³	semidirect
616. C₄×C₂²⋊D₅₃	C₂³	semidirect
617. C₄×C₂²⋊D₅₃	C₂³	semidirect
618. C₄×C₂²⋊D₅₃	C₂³	semidirect
619. C₄×C₂²⋊D₅₃	C₂³	semidirect
620. C₄×C₂²⋊D₅₃	C₂³	semidirect
621. C₄×C₂²⋊D₅₃	C₂³	semidirect
622. C₄×C₂²⋊D₅₃	C₂³	semidirect
623. C₄×C₂²⋊D₅₃	C₂³	semidirect
624. C₄×C₂²⋊D₅₃	C₂³	semidirect
625. C₄×C₂²⋊D₅₃	C₂³	semidirect
630. #13133177	C₂³	semidirect
631. #13133177	C₂³	semidirect
632. #13133177	C₂³	semidirect
633. #13133177	C₂³	semidirect
634. #13133177	C₂³	semidirect
635. #13133177	C₂³	semidirect
636. #13133177	C₂³	semidirect
637. #13133177	C₂³	semidirect
638. #13133177	C₂³	semidirect
639. #13133177	C₂³	semidirect
640. #13133177	C₂³	semidirect
641. #13133177	C₂³	semidirect
642. #13133177	C₂³	semidirect
643. #13133177	C₂³	semidirect
644. #13133176	C₂³	semidirect
645. #13133176	C₂³	semidirect
646. #13133176	C₂³	semidirect
647. #13133176	C₂³	semidirect
648. #13133176	C₂³	semidirect
649. #13133175	C₂³	semidirect
650. #13133175	C₂³	semidirect
651. #13133175	C₂³	semidirect
652. #13133175	C₂³	semidirect
653. #13133175	C₂³	semidirect
654. #13133175	C₂³	semidirect
655. #13133175	C₂³	semidirect
656. #13133175	C₂³	semidirect
657. #13133175	C₂³	semidirect
658. #13133175	C₂³	semidirect
659. #13133174	C₂³	semidirect
660. #13133174	C₂³	semidirect
661. #13133174	C₂³	semidirect
662. #13133174	C₂³	semidirect
663. #13133174	C₂³	semidirect
664. #13133174	C₂³	semidirect
665. #13133174	C₂³	semidirect
666. #13133174	C₂³	semidirect
667. #13133173	C₂³	semidirect
668. #13133173	C₂³	semidirect
669. #13133173	C₂³	semidirect
670. #13133173	C₂³	semidirect
671. #13133173	C₂³	semidirect
672. #13133173	C₂³	semidirect
673. #13133173	C₂³	semidirect
674. #13133173	C₂³	semidirect
689. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
690. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
691. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
692. C₂×#11719921	C₂³	semidirect
693. C₂×#11719921	C₂³	semidirect
694. C₂×#11719921	C₂³	semidirect
695. C₂×#11719921	C₂³	semidirect
696. C₂×#11719921	C₂³	semidirect
697. C₂×#11719921	C₂³	semidirect
715. C₂²⋊C₄×D₅₃	C₂³	semidirect
716. C₂²⋊C₄×D₅₃	C₂³	semidirect
717. C₂²⋊C₄×D₅₃	C₂³	semidirect
718. C₂²⋊C₄×D₅₃	C₂³	semidirect
719. C₂²⋊C₄×D₅₃	C₂³	semidirect
720. C₂²⋊C₄×D₅₃	C₂³	semidirect
721. C₂²⋊C₄×D₅₃	C₂³	semidirect
722. C₂²⋊C₄×D₅₃	C₂³	semidirect
723. C₂²⋊C₄×D₅₃	C₂³	semidirect
724. C₂²⋊C₄×D₅₃	C₂³	semidirect
725. C₂²⋊C₄×D₅₃	C₂³	semidirect
726. C₂²⋊C₄×D₅₃	C₂³	semidirect
727. C₂×C₄×Dic₅₃	C₂³	semidirect
728. C₂×C₄×Dic₅₃	C₂³	semidirect
729. C₂×C₄×Dic₅₃	C₂³	semidirect
730. C₂×C₄×Dic₅₃	C₂³	semidirect
731. C₂×C₄×Dic₅₃	C₂³	semidirect
732. C₂×C₄×Dic₅₃	C₂³	semidirect
742. C₄²×D₅₃	C₂³	semidirect
743. C₄²×D₅₃	C₂³	semidirect
744. C₄²×D₅₃	C₂³	semidirect
745. C₄²×D₅₃	C₂³	semidirect
746. C₄²×D₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
749. C₄²×D₅₃	C₂³	semidirect
751. C₂×#41×C₅₃	C₂³	semidirect
752. C₂²×Q₈×C₅₃	C₂³	semidirect
755. C₄⋊Q₈×C₅₃	C₂³	semidirect
756. C₄⋊Q₈×C₅₃	C₂³	semidirect
758. #126×C₅₃	C₂³	semidirect
759. #126×C₅₃	C₂³	semidirect
760. #126×C₅₃	C₂³	semidirect
761. #125×C₅₃	C₂³	semidirect
764. #124×C₅₃	C₂³	semidirect
765. #124×C₅₃	C₂³	semidirect
766. #124×C₅₃	C₂³	semidirect
767. #124×C₅₃	C₂³	semidirect
768. #124×C₅₃	C₂³	semidirect
769. #124×C₅₃	C₂³	semidirect
770. #123×C₅₃	C₂³	semidirect
771. #123×C₅₃	C₂³	semidirect
772. #123×C₅₃	C₂³	semidirect
773. #123×C₅₃	C₂³	semidirect
774. C₂²⋊Q₈×C₅₃	C₂³	semidirect
775. C₂²⋊Q₈×C₅₃	C₂³	semidirect
776. C₂²⋊Q₈×C₅₃	C₂³	semidirect
777. C₂²⋊Q₈×C₅₃	C₂³	semidirect
778. C₂²⋊Q₈×C₅₃	C₂³	semidirect
782. #121×C₅₃	C₂³	semidirect
783. #121×C₅₃	C₂³	semidirect
784. #121×C₅₃	C₂³	semidirect
785. #121×C₅₃	C₂³	semidirect
787. #120×C₅₃	C₂³	semidirect
788. C₄×Q₈×C₅₃	C₂³	semidirect
789. C₄×Q₈×C₅₃	C₂³	semidirect
790. C₄×Q₈×C₅₃	C₂³	semidirect
791. C₄×Q₈×C₅₃	C₂³	semidirect
796. C₄×D₄×C₅₃	C₂³	semidirect
797. C₄×D₄×C₅₃	C₂³	semidirect
798. C₄×D₄×C₅₃	C₂³	semidirect
799. C₄×D₄×C₅₃	C₂³	semidirect
800. C₄×D₄×C₅₃	C₂³	semidirect
801. C₄×D₄×C₅₃	C₂³	semidirect
802. C₄×D₄×C₅₃	C₂³	semidirect
803. C₄×D₄×C₅₃	C₂³	semidirect
804. C₄×D₄×C₅₃	C₂³	semidirect
805. #117×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
807. #117×C₅₃	C₂³	semidirect
808. #117×C₅₃	C₂³	semidirect
809. #117×C₅₃	C₂³	semidirect
810. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
811. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
812. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
813. C₂×C₄²×C₅₃	C₂³	semidirect
814. C₂×C₄²×C₅₃	C₂³	semidirect
910. D₄×D₅₃	#41	semidirect
1182. D₄×C₅₃	C₂×#41	semidirect
1220. C₂²⋊D₅₃	C₂×#41	semidirect
1253. D₂₁₂	C₂×#41	semidirect
1376. #3514	D₅₃	direct (N × H)
1405. D₅₃	#3514	direct (N × H)
1419. #559	C₂×D₅₃	semidirect
1428. #556	C₂×D₅₃	semidirect
1440. #555	C₂×D₅₃	semidirect
1456. #551	C₂×D₅₃	semidirect
1465. D₄×Q₈	C₂×D₅₃	semidirect
1477. #548	C₂×D₅₃	semidirect
1500. #546	C₂×D₅₃	semidirect
1501. #546	C₂×D₅₃	semidirect
1510. D₄²	C₂×D₅₃	semidirect
1522. #542	C₂×D₅₃	semidirect
1538. #538	C₂×D₅₃	semidirect
1548. #532	C₂×D₅₃	semidirect
1574. #529	C₂×D₅₃	semidirect
1575. #529	C₂×D₅₃	semidirect
1599. C₂×#124	C₂×D₅₃	semidirect
1629. #518	C₂×D₅₃	semidirect
1641. C₄×#41	C₂×D₅₃	semidirect
1669. C₅₃	C₂×#3514	semidirect
1684. C₂×#41	C₂²×D₅₃	semidirect
1695. C₂²×Q₈	C₂²×D₅₃	semidirect
1739. C₄⋊Q₈	C₂²×D₅₃	semidirect
1740. C₄⋊Q₈	C₂²×D₅₃	semidirect
1767. #126	C₂²×D₅₃	semidirect
1768. #126	C₂²×D₅₃	semidirect
1769. #126	C₂²×D₅₃	semidirect
1775. #125	C₂²×D₅₃	semidirect
1824. #124	C₂²×D₅₃	semidirect
1825. #124	C₂²×D₅₃	semidirect
1826. #124	C₂²×D₅₃	semidirect
1827. #124	C₂²×D₅₃	semidirect
1828. #124	C₂²×D₅₃	semidirect
1829. #124	C₂²×D₅₃	semidirect
1858. #123	C₂²×D₅₃	semidirect
1859. #123	C₂²×D₅₃	semidirect
1860. #123	C₂²×D₅₃	semidirect
1861. #123	C₂²×D₅₃	semidirect
1891. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1892. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1893. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1894. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1895. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1938. #121	C₂²×D₅₃	semidirect
1939. #121	C₂²×D₅₃	semidirect
1940. #121	C₂²×D₅₃	semidirect
1941. #121	C₂²×D₅₃	semidirect
1957. #120	C₂²×D₅₃	semidirect
1978. C₄×Q₈	C₂²×D₅₃	semidirect
1979. C₄×Q₈	C₂²×D₅₃	semidirect
1980. C₄×Q₈	C₂²×D₅₃	semidirect
1981. C₄×Q₈	C₂²×D₅₃	semidirect
2061. C₄×D₄	C₂²×D₅₃	semidirect
2062. C₄×D₄	C₂²×D₅₃	semidirect
2063. C₄×D₄	C₂²×D₅₃	semidirect
2064. C₄×D₄	C₂²×D₅₃	semidirect
2065. C₄×D₄	C₂²×D₅₃	semidirect
2066. C₄×D₄	C₂²×D₅₃	semidirect
2067. C₄×D₄	C₂²×D₅₃	semidirect
2068. C₄×D₄	C₂²×D₅₃	semidirect
2069. C₄×D₄	C₂²×D₅₃	semidirect
2101. #117	C₂²×D₅₃	semidirect
2102. #117	C₂²×D₅₃	semidirect
2103. #117	C₂²×D₅₃	semidirect
2104. #117	C₂²×D₅₃	semidirect
2105. #117	C₂²×D₅₃	semidirect
2158. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2159. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2160. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2184. C₂×C₄²	C₂²×D₅₃	semidirect
2185. C₂×C₄²	C₂²×D₅₃	semidirect
2587. D₄	#41×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288679	2
#20288678	2
#20288677	2
#20288676	2
#20288675	2
#20288674	2
#20288673	2
#20288672	2
#20288671	2
#20288670	2
#20288669	2
#20288668	2
#20288667	2
#20288666	2
#20288665	2
#20288664	2
#20288663	2
#559×D₅₃	2
#556×D₅₃	2
#555×D₅₃	2
#551×D₅₃	2
D₄×Q₈×D₅₃	2
#548×D₅₃	2
#546×D₅₃	2
D₄²×D₅₃	2
#542×D₅₃	2
#538×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
C₂×#124×D₅₃	2
#518×D₅₃	2
C₄×#41×D₅₃	2
C₅₃×#3514	2
C₂×#3514	53

Subgroups — D53×#3514 #28292174

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3514 #28292174