Subgroups — D₅₃×#3520 #28292091

Order 13568.

7910 conjugacy classes of subgroups.

The subgroup lattice has 2740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288767	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288766	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288765	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288764	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288763	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288762	C₂	1	2	yes	maximal, complemented
7	#20288761	C₂	1	2	yes	maximal, complemented
8	#20288760	C₂	1	2	yes	maximal, complemented
9	#20288759	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288758	C₂	1	2	yes	maximal, complemented
11	#20288757	C₂	1	2	yes	maximal, complemented
12	#20288756	C₂	1	4	yes	maximal, complemented
13	#20288755	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288754	C₂	1	2	yes	maximal, complemented
15	#20288753	C₂	1	4	yes	maximal, complemented
16	#20288752	C₂	1	2	yes	maximal, complemented
17	#20288751	C₂	1	2	yes	maximal, complemented
18	#556×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#554×D₅₃	C₂	1	2	yes	maximal, complemented
20	#552×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	#547×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#547×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#546×D₅₃	C₂	1	2	yes	maximal, complemented
27	#542×D₅₃	C₂	1	2	yes	maximal, complemented
28	#539×D₅₃	C₂	1	4	yes	maximal, complemented
29	#533×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#529×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	#525×D₅₃	C₂	1	2	yes	maximal, complemented
32	C₂×C₂²⋊Q₈×D₅₃	C₂	1	2	yes	maximal, complemented
33	#520×D₅₃	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	2	yes	—
37	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
38	C₂²×Q₈×D₅₃	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₅₃	C₂²	1	2	yes	—
41	#16811347	C₂²	1	1	yes	characteristic, complemented
42	#16811346	C₂²	1	1	yes	characteristic, complemented
43	#16811345	C₂²	1	2	yes	complemented
44	#16811344	C₂²	1	2	yes	complemented
45	#16811343	C₂²	1	1	yes	characteristic, complemented
46	#16811342	C₂²	1	2	yes	complemented
47	#16811341	C₂²	1	2	yes	complemented
48	#16811340	C₂²	1	4	yes	complemented
49	#16811334	C₂²	1	2	yes	complemented
50	#16811333	C₂²	1	2	yes	complemented
51	#16811332	C₂²	1	4	yes	complemented
52	#16811331	C₂²	1	2	yes	complemented
53	#16811331	C₂²	1	2	yes	complemented
54	#16811330	C₂²	1	2	yes	complemented
55	#16811329	C₂²	1	4	yes	complemented
56	#16811328	C₂²	1	2	yes	complemented
57	#16811328	C₂²	1	2	yes	complemented
58	#16811327	C₂²	1	4	yes	complemented
59	#16811327	C₂²	1	4	yes	complemented
60	#16811315	C₂²	1	2	yes	complemented
61	#16811314	C₂²	1	2	yes	complemented
62	#16811313	C₂²	1	2	yes	complemented
63	#16811312	C₂²	1	2	yes	complemented
64	#16811311	C₂²	1	2	yes	complemented
65	#16811310	C₂²	1	4	yes	complemented
66	#16811309	C₂²	1	4	yes	complemented
67	#16811308	C₂²	1	2	yes	complemented
68	#16811307	C₂²	1	2	yes	complemented
69	#16811306	C₂²	1	4	yes	complemented
70	#16811305	C₂²	1	4	yes	complemented
71	#16811304	C₂²	1	4	yes	complemented
72	#16811303	C₂²	1	4	yes	complemented
73	#16811302	C₂²	1	4	yes	complemented
74	#16811302	C₂²	1	4	yes	complemented
75	#16811301	C₂²	1	4	yes	complemented
76	#16811300	C₂²	1	4	yes	complemented
77	#16811300	C₂²	1	4	yes	complemented
78	#16811299	C₂²	1	4	yes	complemented
79	#16811299	C₂²	1	4	yes	complemented
80	#16811298	C₂²	1	4	yes	complemented
81	#16811298	C₂²	1	4	yes	complemented
82	#16811297	C₂²	1	4	yes	complemented
83	#16811297	C₂²	1	4	yes	complemented
84	#16811296	C₂²	1	4	yes	complemented
85	#16811296	C₂²	1	4	yes	complemented
86	Q₈×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
87	D₄×Dic₁₀₆	C₂²	1	2	yes	complemented
88	D₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
89	#16811288	C₂²	1	1	yes	characteristic, complemented
90	#16811288	C₂²	1	2	yes	complemented
91	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
92	#16811286	C₂²	1	2	yes	complemented
93	#16811286	C₂²	1	4	yes	complemented
94	#16811285	C₂²	1	2	yes	complemented
95	#16811284	C₂²	1	2	yes	complemented
96	#16811283	C₂²	1	2	yes	complemented
97	#16811283	C₂²	1	4	yes	complemented
98	#16811282	C₂²	1	2	yes	complemented
99	#16811282	C₂²	1	4	yes	complemented
100	#16811281	C₂²	1	4	yes	complemented
101	#16811281	C₂²	1	2	yes	complemented
102	#16811280	C₂²	1	2	yes	complemented
103	#16811279	C₂²	1	4	yes	complemented
104	#16811279	C₂²	1	2	yes	complemented
105	#16811278	C₂²	1	1	yes	characteristic, complemented
106	#16811278	C₂²	1	1	yes	characteristic, complemented
107	#16811277	C₂²	1	1	yes	characteristic, complemented
108	#16811277	C₂²	1	1	yes	characteristic, complemented
109	#16811276	C₂²	1	1	yes	characteristic, complemented
110	#16811276	C₂²	1	1	yes	characteristic, complemented
111	#16811275	C₂²	1	2	yes	complemented
112	#16811275	C₂²	1	2	yes	complemented
113	#16811274	C₂²	1	2	yes	complemented
114	#16811274	C₂²	1	2	yes	complemented
115	#16811273	C₂²	1	2	yes	complemented
116	#16811273	C₂²	1	2	yes	complemented
117	#16811272	C₂²	1	2	yes	complemented
118	#16811272	C₂²	1	2	yes	complemented
119	#16811271	C₂²	1	4	yes	complemented
120	#16811271	C₂²	1	4	yes	complemented
121	#16811270	C₂²	1	2	yes	complemented
122	#16811269	C₂²	1	2	yes	complemented
123	#16811268	C₂²	1	2	yes	complemented
124	#16811267	C₂²	1	2	yes	complemented
125	#16811266	C₂²	1	2	yes	complemented
126	#16811265	C₂²	1	4	yes	complemented
127	#16811264	C₂²	1	2	yes	complemented
128	#16811263	C₂²	1	4	yes	complemented
129	#16811262	C₂²	1	4	yes	complemented
130	#16811261	C₂²	1	2	yes	complemented
131	#16811260	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	#16811222	C₂²	1	4	yes	complemented
144	#16811221	C₂²	1	4	yes	complemented
145	#16811221	C₂²	1	4	yes	complemented
146	#16811220	C₂²	1	4	yes	complemented
147	#16811219	C₂²	1	4	yes	complemented
148	#16811219	C₂²	1	4	yes	complemented
149	#16811218	C₂²	1	4	yes	complemented
150	#16811217	C₂²	1	4	yes	complemented
151	#16811217	C₂²	1	4	yes	complemented
152	#16811216	C₂²	1	4	yes	complemented
153	#16811216	C₂²	1	4	yes	complemented
154	#16811215	C₂²	1	4	yes	complemented
155	#16811215	C₂²	1	4	yes	complemented
156	#16811214	C₂²	1	4	yes	complemented
157	#16811214	C₂²	1	4	yes	complemented
158	#16811180	C₂²	1	1	yes	characteristic, complemented
159	#16811179	C₂²	1	2	yes	complemented
160	#16811178	C₂²	1	1	yes	characteristic, complemented
161	#16811178	C₂²	1	1	yes	characteristic, complemented
162	#16811177	C₂²	1	2	yes	complemented
163	#16811177	C₂²	1	2	yes	complemented
164	#16811176	C₂²	1	2	yes	complemented
165	#16811175	C₂²	1	2	yes	complemented
166	#16811175	C₂²	1	2	yes	complemented
167	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
168	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
169	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
170	#16811160	C₂²	1	1	yes	characteristic, complemented
171	#16811159	C₂²	1	1	yes	characteristic, complemented
172	#16811158	C₂²	1	1	yes	characteristic, complemented
173	#16811157	C₂²	1	1	yes	characteristic, complemented
174	#16811156	C₂²	1	2	yes	complemented
175	#16811155	C₂²	1	1	yes	characteristic, complemented
176	#16811154	C₂²	1	1	yes	characteristic, complemented
177	#16811153	C₂²	1	2	yes	complemented
178	#16811152	C₂²	1	1	yes	characteristic, complemented
179	#16811151	C₂²	1	2	yes	complemented
180	#16811150	C₂²	1	2	yes	complemented
181	#126×D₅₃	C₂²	1	4	yes	complemented
182	#126×D₅₃	C₂²	1	2	yes	complemented
183	#126×D₅₃	C₂²	1	4	yes	complemented
184	#125×D₅₃	C₂²	1	2	yes	complemented
185	#125×D₅₃	C₂²	1	4	yes	complemented
186	#125×D₅₃	C₂²	1	1	yes	characteristic, complemented
187	#124×D₅₃	C₂²	1	2	yes	—
188	#124×D₅₃	C₂²	1	4	yes	complemented
189	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
190	#16811136	C₂²	1	2	yes	complemented
191	#16811136	C₂²	1	2	yes	complemented
192	#16811135	C₂²	1	2	yes	complemented
193	#16811134	C₂²	1	2	yes	complemented
194	#16811133	C₂²	1	2	yes	complemented
195	#16811133	C₂²	1	2	yes	complemented
196	#16811132	C₂²	1	4	yes	complemented
197	#16811132	C₂²	1	4	yes	complemented
198	#16811131	C₂²	1	4	yes	complemented
199	#16811130	C₂²	1	2	yes	complemented
200	#16811129	C₂²	1	4	yes	complemented
201	#123×D₅₃	C₂²	1	4	yes	—
202	#123×D₅₃	C₂²	1	2	yes	—
203	#123×D₅₃	C₂²	1	4	yes	complemented
204	#123×D₅₃	C₂²	1	4	yes	complemented
205	#123×D₅₃	C₂²	1	4	yes	complemented
206	C₂×#13133197	C₂²	1	2	yes	complemented
207	C₂×#13133196	C₂²	1	2	yes	complemented
208	C₂×#13133195	C₂²	1	4	yes	complemented
209	C₂×#13133194	C₂²	1	4	yes	complemented
210	C₂×#13133193	C₂²	1	2	yes	complemented
211	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
212	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
213	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
214	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
215	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
216	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
217	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
218	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
219	C₂²⋊Q₈×D₅₃	C₂²	1	4	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	2	yes	complemented
224	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
225	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
226	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
228	#121×D₅₃	C₂²	1	4	yes	—
229	#121×D₅₃	C₂²	1	2	yes	—
230	#121×D₅₃	C₂²	1	1	yes	characteristic
231	#121×D₅₃	C₂²	1	2	yes	complemented
232	#120×D₅₃	C₂²	1	4	yes	—
233	#16811106	C₂²	1	2	yes	complemented
234	#16811105	C₂²	1	2	yes	complemented
235	#16811105	C₂²	1	2	yes	complemented
236	#16811104	C₂²	1	4	yes	complemented
237	#16811104	C₂²	1	2	yes	complemented
238	#16811103	C₂²	1	4	yes	complemented
239	#16811103	C₂²	1	2	yes	complemented
240	#16811102	C₂²	1	2	yes	complemented
241	#16811102	C₂²	1	2	yes	complemented
242	#16811102	C₂²	1	4	yes	complemented
243	#16811102	C₂²	1	4	yes	complemented
244	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
245	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
246	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
247	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
248	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
249	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
250	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
252	C₂×#13133177	C₂²	1	2	yes	complemented
253	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
254	C₄×D₄×D₅₃	C₂²	1	2	yes	—
255	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
256	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
257	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
258	C₄×D₄×D₅₃	C₂²	1	2	yes	—
259	C₄×D₄×D₅₃	C₂²	1	2	yes	—
260	C₄×D₄×D₅₃	C₂²	1	2	yes	—
261	C₄×D₄×D₅₃	C₂²	1	4	yes	—
262	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
263	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, 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	1	yes	characteristic, complemented
267	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
268	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
269	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
270	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
271	#117×D₅₃	C₂²	1	2	yes	—
272	#117×D₅₃	C₂²	1	2	yes	complemented
273	#117×D₅₃	C₂²	1	2	yes	complemented
274	#117×D₅₃	C₂²	1	4	yes	complemented
275	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
276	C₂×C₄⋊C₄×D₅₃	C₂²	1	4	yes	complemented
277	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
278	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
279	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	—
281	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
282	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
283	C₅₃×#554	C₂²	1	2	yes	complemented
284	C₅₃×#552	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×#547	C₂²	1	1	yes	characteristic, complemented
289	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
290	C₅₃×#546	C₂²	1	2	yes	complemented
291	C₅₃×#542	C₂²	1	2	yes	complemented
292	C₅₃×#539	C₂²	1	4	yes	complemented
293	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
294	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
295	C₅₃×#525	C₂²	1	2	yes	complemented
296	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	2	yes	complemented
297	C₅₃×#520	C₂²	1	2	yes	complemented
298	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	2	yes	—
300	C₂×#11719949	C₂³	1	2	yes	—
301	C₂×#11719949	C₂³	1	2	yes	complemented
302	C₂×#11719945	C₂³	1	4	yes	—
303	C₂×#11719945	C₂³	1	2	yes	—
304	C₂×#11719945	C₂³	1	4	yes	complemented
305	C₂×#11719945	C₂³	1	2	yes	complemented
306	C₂×#11719947	C₂³	1	2	yes	—
307	C₂×#11719947	C₂³	1	4	yes	—
308	C₂×#11719947	C₂³	1	4	yes	complemented
309	C₂×#11719947	C₂³	1	2	yes	complemented
310	#41×D₅₃	—	2	16	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	2	yes	—
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	1	yes	characteristic
323	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
324	C₂×D₄×D₅₃	—	2	8	no	—
325	C₂×D₄×D₅₃	C₂³	1	2	yes	—
326	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
327	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂×D₄×D₅₃	C₂³	1	2	yes	—
329	C₂×D₄×D₅₃	C₂³	1	2	yes	—
330	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂×D₄×D₅₃	C₂³	1	4	yes	—
332	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂×D₄×D₅₃	C₂³	1	4	yes	—
334	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂³×Dic₅₃	C₂³	1	2	yes	—
336	C₂²×C₄×D₅₃	—	4	8	no	—
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
341	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
342	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
343	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
344	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
345	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
346	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
347	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
348	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
349	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
350	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
351	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
352	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
353	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
354	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
355	#13133217	C₂³	1	1	yes	characteristic, complemented
356	#13133217	C₂³	1	1	yes	characteristic, complemented
357	#13133217	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	#13133216	C₂³	1	2	yes	complemented
362	#13133216	C₂³	1	4	yes	complemented
363	#13133216	C₂³	1	2	yes	complemented
364	#13133216	C₂³	1	2	yes	complemented
365	#13133215	C₂³	1	2	yes	complemented
366	#13133215	C₂³	1	2	yes	complemented
367	#13133215	C₂³	1	4	yes	complemented
368	#13133212	C₂³	1	4	yes	complemented
369	#13133212	C₂³	1	4	yes	complemented
370	#13133212	C₂³	1	4	yes	complemented
371	#13133212	C₂³	1	4	yes	complemented
372	#13133212	C₂³	1	4	yes	complemented
373	#13133212	C₂³	1	4	yes	complemented
374	#13133212	C₂³	1	2	yes	complemented
375	#13133212	C₂³	1	2	yes	complemented
376	#13133212	C₂³	1	2	yes	complemented
377	#13133211	C₂³	1	4	yes	complemented
378	#13133211	C₂³	1	4	yes	complemented
379	#13133211	C₂³	1	2	yes	complemented
380	#13133210	C₂³	1	4	yes	complemented
381	#13133210	C₂³	1	4	yes	complemented
382	#13133210	C₂³	1	4	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	2	yes	complemented
387	#13133210	C₂³	1	2	yes	complemented
388	#13133210	C₂³	1	2	yes	complemented
389	#13133209	C₂³	1	4	yes	complemented
390	#13133209	C₂³	1	1	yes	characteristic, complemented
391	#13133209	C₂³	1	2	yes	complemented
392	#13133208	C₂³	1	1	yes	characteristic, complemented
393	#13133208	C₂³	1	4	yes	complemented
394	#13133208	C₂³	1	4	yes	complemented
395	#13133208	C₂³	1	1	yes	characteristic, complemented
396	#13133208	C₂³	1	2	yes	complemented
397	#13133208	C₂³	1	2	yes	complemented
398	#13133207	C₂³	1	2	yes	complemented
399	#13133207	C₂³	1	4	yes	complemented
400	#13133207	C₂³	1	2	yes	complemented
401	#13133207	C₂³	1	4	yes	complemented
402	#13133207	C₂³	1	4	yes	complemented
403	#13133207	C₂³	1	4	yes	complemented
404	#13133207	C₂³	1	4	yes	complemented
405	#13133207	C₂³	1	4	yes	complemented
406	#13133206	C₂³	1	2	yes	—
407	#13133206	C₂³	1	1	yes	characteristic, complemented
408	#13133206	C₂³	1	4	yes	complemented
409	#13133205	C₂³	1	2	yes	—
410	#13133205	C₂³	1	1	yes	characteristic, complemented
411	#13133205	C₂³	1	4	yes	complemented
412	#13133204	C₂³	1	2	yes	—
413	#13133204	C₂³	1	1	yes	characteristic, complemented
414	#13133204	C₂³	1	4	yes	complemented
415	#13133203	C₂³	1	4	yes	—
416	#13133203	C₂³	1	4	yes	—
417	#13133203	C₂³	1	2	yes	complemented
418	#13133203	C₂³	1	4	yes	complemented
419	#13133203	C₂³	1	4	yes	complemented
420	#13133203	C₂³	1	2	yes	complemented
421	#13133203	C₂³	1	4	yes	complemented
422	#13133203	C₂³	1	4	yes	complemented
423	#13133202	C₂³	1	4	yes	—
424	#13133202	C₂³	1	4	yes	—
425	#13133202	C₂³	1	2	yes	—
426	#13133202	C₂³	1	2	yes	—
427	#13133202	C₂³	1	4	yes	complemented
428	#13133202	C₂³	1	4	yes	complemented
429	#13133202	C₂³	1	4	yes	complemented
430	#13133202	C₂³	1	4	yes	complemented
431	#13133202	C₂³	1	4	yes	complemented
432	#13133202	C₂³	1	4	yes	complemented
433	#13133201	C₂³	1	4	yes	—
434	#13133201	C₂³	1	2	yes	—
435	#13133201	C₂³	1	4	yes	complemented
436	#13133201	C₂³	1	4	yes	complemented
437	#13133201	C₂³	1	4	yes	complemented
438	#13133200	C₂³	1	2	yes	—
439	#13133200	C₂³	1	4	yes	—
440	#13133200	C₂³	1	4	yes	complemented
441	#13133200	C₂³	1	4	yes	complemented
442	#13133200	C₂³	1	4	yes	complemented
443	#13133199	C₂³	1	4	yes	—
444	#13133199	C₂³	1	4	yes	—
445	#13133199	C₂³	1	2	yes	—
446	#13133199	C₂³	1	2	yes	—
447	#13133199	C₂³	1	4	yes	complemented
448	#13133199	C₂³	1	4	yes	complemented
449	#13133199	C₂³	1	4	yes	complemented
450	#13133199	C₂³	1	4	yes	complemented
451	#13133199	C₂³	1	4	yes	complemented
452	#13133199	C₂³	1	4	yes	complemented
453	#13133198	C₂³	1	4	yes	—
454	#13133198	C₂³	1	2	yes	—
455	#13133198	C₂³	1	4	yes	complemented
456	#13133198	C₂³	1	4	yes	complemented
457	#13133198	C₂³	1	4	yes	complemented
458	#13133197	C₂³	1	2	yes	—
459	#13133197	C₂³	1	4	yes	—
460	#13133197	C₂³	1	1	yes	characteristic
461	#13133197	C₂³	1	2	yes	—
462	#13133197	C₂³	1	2	yes	complemented
463	#13133197	C₂³	1	2	yes	complemented
464	#13133197	C₂³	1	4	yes	complemented
465	#13133197	C₂³	1	2	yes	complemented
466	#13133197	C₂³	1	4	yes	complemented
467	#13133197	C₂³	1	2	yes	complemented
468	#13133197	C₂³	1	4	yes	complemented
469	#13133196	C₂³	1	2	yes	—
470	#13133196	C₂³	1	4	yes	—
471	#13133196	C₂³	1	1	yes	characteristic
472	#13133196	C₂³	1	2	yes	—
473	#13133196	C₂³	1	2	yes	complemented
474	#13133196	C₂³	1	2	yes	complemented
475	#13133196	C₂³	1	4	yes	complemented
476	#13133196	C₂³	1	2	yes	complemented
477	#13133196	C₂³	1	4	yes	complemented
478	#13133196	C₂³	1	2	yes	complemented
479	#13133196	C₂³	1	4	yes	complemented
480	#13133195	C₂³	1	4	yes	—
481	#13133195	C₂³	1	4	yes	—
482	#13133195	C₂³	1	4	yes	—
483	#13133195	C₂³	1	2	yes	—
484	#13133195	C₂³	1	4	yes	—
485	#13133195	C₂³	1	4	yes	complemented
486	#13133195	C₂³	1	4	yes	complemented
487	#13133195	C₂³	1	4	yes	complemented
488	#13133195	C₂³	1	4	yes	complemented
489	#13133195	C₂³	1	4	yes	complemented
490	#13133195	C₂³	1	4	yes	complemented
491	#13133195	C₂³	1	4	yes	complemented
492	#13133195	C₂³	1	4	yes	complemented
493	#13133195	C₂³	1	4	yes	complemented
494	#13133195	C₂³	1	4	yes	complemented
495	#13133194	C₂³	1	4	yes	—
496	#13133194	C₂³	1	4	yes	—
497	#13133194	C₂³	1	4	yes	—
498	#13133194	C₂³	1	2	yes	—
499	#13133194	C₂³	1	4	yes	—
500	#13133194	C₂³	1	4	yes	complemented
501	#13133194	C₂³	1	4	yes	complemented
502	#13133194	C₂³	1	4	yes	complemented
503	#13133194	C₂³	1	4	yes	complemented
504	#13133194	C₂³	1	4	yes	complemented
505	#13133194	C₂³	1	4	yes	complemented
506	#13133194	C₂³	1	4	yes	complemented
507	#13133194	C₂³	1	4	yes	complemented
508	#13133194	C₂³	1	4	yes	complemented
509	#13133194	C₂³	1	4	yes	complemented
510	#13133193	C₂³	1	2	yes	—
511	#13133193	C₂³	1	4	yes	—
512	#13133193	C₂³	1	1	yes	characteristic
513	#13133193	C₂³	1	2	yes	—
514	#13133193	C₂³	1	2	yes	complemented
515	#13133193	C₂³	1	2	yes	complemented
516	#13133193	C₂³	1	4	yes	complemented
517	#13133193	C₂³	1	2	yes	complemented
518	#13133193	C₂³	1	4	yes	complemented
519	#13133193	C₂³	1	2	yes	complemented
520	#13133193	C₂³	1	4	yes	complemented
521	#13133192	C₂³	1	4	yes	—
522	#13133192	C₂³	1	2	yes	—
523	#13133192	C₂³	1	1	yes	characteristic
524	#13133192	C₂³	1	2	yes	complemented
525	#13133191	C₂³	1	4	yes	—
526	#13133191	C₂³	1	2	yes	—
527	#13133191	C₂³	1	1	yes	characteristic
528	#13133191	C₂³	1	2	yes	complemented
529	#13133190	C₂³	1	4	yes	—
530	#13133190	C₂³	1	4	yes	—
531	#13133190	C₂³	1	4	yes	—
532	#13133190	C₂³	1	2	yes	—
533	#13133190	C₂³	1	4	yes	complemented
534	#13133189	C₂³	1	4	yes	—
535	#13133189	C₂³	1	4	yes	—
536	#13133189	C₂³	1	4	yes	—
537	#13133189	C₂³	1	2	yes	—
538	#13133189	C₂³	1	4	yes	complemented
539	#13133188	C₂³	1	2	yes	—
540	#13133188	C₂³	1	4	yes	—
541	#13133188	C₂³	1	1	yes	characteristic
542	#13133188	C₂³	1	2	yes	complemented
543	#13133187	C₂³	1	4	yes	—
544	#13133187	C₂³	1	4	yes	—
545	#13133187	C₂³	1	4	yes	—
546	#13133186	C₂³	1	4	yes	—
547	#13133185	C₂³	1	4	yes	—
548	#13133185	C₂³	1	4	yes	—
549	#13133185	C₂³	1	4	yes	—
550	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
551	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
552	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
553	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
554	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
555	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
556	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
557	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
558	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
559	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
560	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
561	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
562	#13133182	C₂³	1	4	yes	complemented
563	#13133182	C₂³	1	2	yes	complemented
564	#13133182	C₂³	1	2	yes	complemented
565	#13133182	C₂³	1	1	yes	characteristic, complemented
566	#13133182	C₂³	1	4	yes	complemented
567	#13133182	C₂³	1	2	yes	complemented
568	#13133182	C₂³	1	2	yes	complemented
569	#13133182	C₂³	1	4	yes	complemented
570	C₄×D₂₁₂	C₂³	1	2	yes	—
571	C₄×D₂₁₂	C₂³	1	2	yes	—
572	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
573	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
574	C₄×D₂₁₂	C₂³	1	2	yes	—
575	C₄×D₂₁₂	C₂³	1	4	yes	—
576	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
577	C₄×D₂₁₂	C₂³	1	2	yes	—
578	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
579	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
580	C₄×D₂₁₂	C₂³	1	4	yes	complemented
581	C₄×D₂₁₂	C₂³	1	4	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	2	yes	—
586	D₄×Dic₅₃	C₂³	1	4	yes	—
587	D₄×Dic₅₃	C₂³	1	2	yes	—
588	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
589	D₄×Dic₅₃	C₂³	1	2	yes	—
590	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
591	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
592	D₄×Dic₅₃	C₂³	1	4	yes	complemented
593	D₄×Dic₅₃	C₂³	1	4	yes	complemented
594	#13133179	C₂³	1	2	yes	—
595	#13133179	C₂³	1	2	yes	—
596	#13133179	C₂³	1	1	yes	characteristic
597	#13133179	C₂³	1	1	yes	characteristic
598	#13133179	C₂³	1	2	yes	—
599	#13133179	C₂³	1	4	yes	—
600	#13133179	C₂³	1	1	yes	characteristic
601	#13133179	C₂³	1	2	yes	—
602	#13133179	C₂³	1	1	yes	characteristic
603	#13133179	C₂³	1	1	yes	characteristic, complemented
604	#13133179	C₂³	1	4	yes	complemented
605	#13133179	C₂³	1	4	yes	complemented
606	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
607	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
608	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
609	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
610	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
611	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
612	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
613	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
614	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
615	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
616	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
617	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
618	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
619	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
620	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
621	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
622	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
623	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
624	#13133177	C₂³	1	4	yes	—
625	#13133177	C₂³	1	2	yes	—
626	#13133177	C₂³	1	2	yes	—
627	#13133177	C₂³	1	2	yes	—
628	#13133177	C₂³	1	2	yes	—
629	#13133177	C₂³	1	4	yes	—
630	#13133177	C₂³	1	4	yes	—
631	#13133177	C₂³	1	2	yes	—
632	#13133177	C₂³	1	2	yes	—
633	#13133177	C₂³	1	2	yes	—
634	#13133177	C₂³	1	2	yes	—
635	#13133177	C₂³	1	2	yes	—
636	#13133177	C₂³	1	2	yes	—
637	#13133177	C₂³	1	2	yes	complemented
638	#13133177	C₂³	1	4	yes	complemented
639	#13133177	C₂³	1	4	yes	complemented
640	#13133177	C₂³	1	4	yes	complemented
641	#13133177	C₂³	1	4	yes	complemented
642	#13133176	C₂³	1	2	yes	—
643	#13133176	C₂³	1	4	yes	complemented
644	#13133176	C₂³	1	2	yes	complemented
645	#13133176	C₂³	1	2	yes	complemented
646	#13133175	C₂³	1	2	yes	—
647	#13133175	C₂³	1	2	yes	—
648	#13133175	C₂³	1	4	yes	complemented
649	#13133175	C₂³	1	4	yes	complemented
650	#13133175	C₂³	1	2	yes	complemented
651	#13133175	C₂³	1	2	yes	complemented
652	#13133175	C₂³	1	2	yes	complemented
653	#13133175	C₂³	1	2	yes	complemented
654	#13133174	C₂³	1	4	yes	—
655	#13133174	C₂³	1	4	yes	complemented
656	#13133174	C₂³	1	4	yes	complemented
657	#13133174	C₂³	1	4	yes	complemented
658	#13133174	C₂³	1	2	yes	complemented
659	#13133174	C₂³	1	2	yes	complemented
660	#13133173	C₂³	1	4	yes	—
661	#13133173	C₂³	1	4	yes	complemented
662	#13133173	C₂³	1	4	yes	complemented
663	#13133173	C₂³	1	4	yes	complemented
664	#13133173	C₂³	1	2	yes	complemented
665	#13133173	C₂³	1	2	yes	complemented
666	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
667	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
668	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
669	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
670	C₂×#11719919	C₂³	1	2	yes	—
671	C₂×#11719919	C₂³	1	4	yes	complemented
672	C₂×#11719919	C₂³	1	4	yes	complemented
673	C₂×#11719919	C₂³	1	4	yes	complemented
674	C₂×#11719919	C₂³	1	4	yes	complemented
675	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
676	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
677	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
678	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
679	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
680	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
681	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
682	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
683	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
684	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
685	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
686	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
687	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
688	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
689	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
690	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
691	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
692	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
693	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
694	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
695	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
696	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
697	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
698	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
699	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
700	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
701	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
702	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
703	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
704	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
705	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
706	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
707	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
708	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
709	C₂×#11719921	C₂³	1	4	yes	—
710	C₂×#11719921	C₂³	1	4	yes	—
711	C₂×#11719921	C₂³	1	2	yes	—
712	C₂×#11719921	C₂³	1	2	yes	—
713	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
714	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
715	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
716	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
717	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
718	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
719	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
720	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
728	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
729	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
730	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
731	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
732	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
733	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
734	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
735	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
736	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
737	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
738	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
739	C₄²×D₅₃	C₂³	1	1	yes	characteristic
740	C₄²×D₅₃	C₂³	1	1	yes	characteristic
741	C₄²×D₅₃	C₂³	1	1	yes	characteristic
742	C₄²×D₅₃	C₂³	1	1	yes	characteristic
743	C₄²×D₅₃	C₂³	1	1	yes	characteristic
744	C₄²×D₅₃	C₂³	1	1	yes	characteristic
745	C₄²×D₅₃	C₂³	1	1	yes	characteristic
746	C₄²×D₅₃	C₂³	1	1	yes	characteristic
747	C₄²×D₅₃	C₂³	1	4	yes	—
748	C₄²×D₅₃	C₂³	1	4	yes	—
749	C₄²×D₅₃	C₂³	1	2	yes	—
750	C₂×#41×C₅₃	C₂³	1	2	yes	—
751	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
752	C₂²×Q₈×C₅₃	C₂³	1	2	yes	complemented
753	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
754	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
755	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
756	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
757	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
758	#126×C₅₃	C₂³	1	4	yes	complemented
759	#126×C₅₃	C₂³	1	4	yes	complemented
760	#126×C₅₃	C₂³	1	2	yes	complemented
761	#125×C₅₃	C₂³	1	4	yes	complemented
762	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
763	#125×C₅₃	C₂³	1	2	yes	complemented
764	#124×C₅₃	C₂³	1	2	yes	—
765	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
766	#124×C₅₃	C₂³	1	4	yes	complemented
767	#123×C₅₃	C₂³	1	4	yes	—
768	#123×C₅₃	C₂³	1	2	yes	—
769	#123×C₅₃	C₂³	1	4	yes	complemented
770	#123×C₅₃	C₂³	1	4	yes	complemented
771	#123×C₅₃	C₂³	1	4	yes	complemented
772	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
773	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
774	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
775	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
776	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
777	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
778	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
779	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
780	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
781	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
782	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
783	#121×C₅₃	C₂³	1	2	yes	—
784	#121×C₅₃	C₂³	1	4	yes	—
785	#121×C₅₃	C₂³	1	1	yes	characteristic
786	#121×C₅₃	C₂³	1	2	yes	complemented
787	#120×C₅₃	C₂³	1	4	yes	—
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	2	yes	complemented
791	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
792	C₄×D₄×C₅₃	C₂³	1	2	yes	—
793	C₄×D₄×C₅₃	C₂³	1	2	yes	—
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	—
797	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
798	C₄×D₄×C₅₃	C₂³	1	2	yes	—
799	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
800	C₄×D₄×C₅₃	C₂³	1	4	yes	—
801	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
802	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
803	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
804	#117×C₅₃	C₂³	1	2	yes	—
805	#117×C₅₃	C₂³	1	4	yes	complemented
806	#117×C₅₃	C₂³	1	2	yes	complemented
807	#117×C₅₃	C₂³	1	2	yes	complemented
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
809	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
810	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
811	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
812	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
813	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
814	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
815	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
816	C₂³×D₅₃	—	2	8	no	—
817	C₂³×D₅₃	—	2	8	no	—
818	C₂³×D₅₃	—	4	4	no	—
819	C₂³×D₅₃	C₂⁴	1	2	yes	—
820	C₂³×D₅₃	C₂⁴	1	2	yes	—
821	C₂³×D₅₃	C₂⁴	1	2	yes	—
822	C₂³×D₅₃	C₂⁴	1	2	yes	—
823	C₂³×D₅₃	C₂⁴	1	2	yes	—
824	C₂³×D₅₃	C₂⁴	1	2	yes	—
825	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
826	#41×C₅₃	—	2	8	no	—
827	#41×C₅₃	—	4	4	no	—
828	C₂×Q₈×C₅₃	—	4	4	no	—
829	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
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	4	no	—
834	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
837	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
838	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
839	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
841	C₂²×C₄×C₅₃	—	4	4	no	—
842	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
843	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
844	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
845	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
846	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
849	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
851	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
852	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
854	C₂×C₂²⋊D₅₃	—	2	8	no	—
855	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	2	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	C₂²×Dic₅₃	—	4	4	no	—
867	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
868	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
869	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
870	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
871	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
872	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
873	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
874	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
875	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
876	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
877	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
878	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
879	#11719949	—	2	8	no	—
880	#11719949	—	4	4	no	—
881	Q₈×D₅₃	—	2	8	no	—
882	Q₈×D₅₃	—	2	4	no	—
883	Q₈×D₅₃	—	2	8	no	—
884	Q₈×D₅₃	—	4	8	no	—
885	Q₈×D₅₃	—	4	4	no	—
886	Q₈×D₅₃	—	4	4	no	—
887	Q₈×D₅₃	—	4	8	no	—
888	#11719947	—	2	8	no	—
889	#11719947	—	2	16	no	—
890	#11719947	—	4	4	no	—
891	#11719947	—	4	8	no	—
892	D₄×D₅₃	—	2	8	no	—
893	D₄×D₅₃	—	2	16	no	—
894	D₄×D₅₃	—	2	8	no	—
895	D₄×D₅₃	—	2	4	no	—
896	D₄×D₅₃	—	2	8	no	—
897	D₄×D₅₃	—	2	4	no	—
898	D₄×D₅₃	—	2	4	no	—
899	D₄×D₅₃	—	2	4	no	—
900	D₄×D₅₃	—	4	8	no	—
901	D₄×D₅₃	#41	1	8	yes	complemented
902	#11719945	—	2	16	no	—
903	#11719945	—	2	8	no	—
904	#11719945	—	4	8	no	—
905	#11719945	—	4	4	no	—
906	C₂×D₂₁₂	—	2	4	no	—
907	C₂×D₂₁₂	C₂⁴	1	2	yes	—
908	C₂×D₂₁₂	C₂⁴	1	2	yes	—
909	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
910	C₂×D₂₁₂	C₂⁴	1	4	yes	—
911	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
912	C₂×D₂₁₂	C₂⁴	1	4	yes	—
913	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
914	C₂×C₄×D₅₃	—	2	16	no	—
915	C₂×C₄×D₅₃	—	2	4	no	—
916	C₂×C₄×D₅₃	—	2	4	no	—
917	C₂×C₄×D₅₃	—	2	8	no	—
918	C₂×C₄×D₅₃	—	2	4	no	—
919	C₂×C₄×D₅₃	—	2	8	no	—
920	C₂×C₄×D₅₃	—	2	8	no	—
921	C₂×C₄×D₅₃	—	4	4	no	—
922	C₂×C₄×D₅₃	—	4	4	no	—
923	C₂×C₄×D₅₃	—	4	4	no	—
924	C₂×C₄×D₅₃	—	4	4	no	—
925	C₂×C₄×D₅₃	—	4	4	no	—
926	C₂×C₄×D₅₃	—	4	4	no	—
927	C₂×C₄×D₅₃	—	4	4	no	—
928	C₂×C₄×D₅₃	—	4	4	no	—
929	C₂×C₄×D₅₃	—	4	4	no	—
930	C₂×C₄×D₅₃	—	4	8	no	—
931	C₂×C₄×D₅₃	—	4	8	no	—
932	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
933	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
934	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
935	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
936	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
937	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
938	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
939	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
940	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
941	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
942	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
943	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
944	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
945	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
946	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
947	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
948	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
949	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
950	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
951	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
952	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
953	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
954	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
955	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
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	4	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
963	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
964	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
967	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
968	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
969	C₂×Dic₁₀₆	—	4	8	no	—
970	C₂×Dic₁₀₆	—	4	4	no	—
971	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
972	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
973	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
974	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
975	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
976	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
977	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
978	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
979	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
980	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
981	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
982	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
983	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
984	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
985	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
986	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
987	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
988	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
989	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
990	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
991	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
992	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
993	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
994	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
995	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
996	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
997	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
998	C₄⋊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	2	yes	—
1002	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1003	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1004	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1005	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1006	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1007	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1008	C₂²⋊C₄×C₅₃	C₂⁴	1	2	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	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1013	C₂²⋊C₄×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	1	yes	characteristic
1018	C₄²×C₅₃	C₂⁴	1	4	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	4	yes	—
1023	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1024	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1025	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1026	C₂²⋊Dic₅₃	C₂⁴	1	2	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	2	yes	—
1031	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1032	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1033	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1034	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1035	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1036	#11719921	C₂⁴	1	2	yes	—
1037	#11719921	C₂⁴	1	2	yes	—
1038	#11719921	C₂⁴	1	4	yes	—
1039	#11719921	C₂⁴	1	4	yes	—
1040	#11719921	C₂⁴	1	2	yes	—
1041	#11719921	C₂⁴	1	2	yes	—
1042	#11719921	C₂⁴	1	2	yes	—
1043	#11719921	C₂⁴	1	2	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	2	yes	—
1054	#11719921	C₂⁴	1	2	yes	—
1055	#11719921	C₂⁴	1	4	yes	—
1056	#11719921	C₂⁴	1	2	yes	—
1057	#11719921	C₂⁴	1	2	yes	—
1058	#11719921	C₂⁴	1	4	yes	—
1059	#11719921	C₂⁴	1	4	yes	—
1060	#11719921	C₂⁴	1	4	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	2	yes	—
1066	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1067	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1068	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1069	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1070	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1071	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1072	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1073	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1074	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1075	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1076	C₄⋊Dic₅₃	C₂⁴	1	4	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	1	yes	characteristic
1081	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1082	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1083	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1084	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1085	#11719919	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	2	yes	—
1090	#11719919	C₂⁴	1	4	yes	—
1091	#11719919	C₂⁴	1	2	yes	—
1092	#11719919	C₂⁴	1	4	yes	—
1093	#11719919	C₂⁴	1	2	yes	—
1094	#11719919	C₂⁴	1	4	yes	—
1095	#11719919	C₂⁴	1	4	yes	—
1096	#11719919	C₂⁴	1	4	yes	—
1097	#11719919	C₂⁴	1	4	yes	—
1098	#11719919	C₂⁴	1	4	yes	—
1099	#11719919	C₂⁴	1	4	yes	—
1100	#11719919	C₂⁴	1	4	yes	—
1101	#11719919	C₂⁴	1	4	yes	—
1102	#11719919	C₂⁴	1	4	yes	—
1103	#11719919	C₂⁴	1	4	yes	—
1104	#11719919	C₂⁴	1	2	yes	—
1105	#11719919	C₂⁴	1	2	yes	—
1106	#11719919	C₂⁴	1	2	yes	—
1107	#11719919	C₂⁴	1	4	yes	—
1108	#11719919	C₂⁴	1	4	yes	—
1109	#11719919	C₂⁴	1	2	yes	—
1110	#11719919	C₂⁴	1	2	yes	—
1111	#11719919	C₂⁴	1	4	yes	—
1112	#11719919	C₂⁴	1	4	yes	—
1113	#11719919	C₂⁴	1	2	yes	—
1114	#11719919	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1122	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1123	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1124	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1125	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1126	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1127	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1128	C₄×Dic₅₃	C₂⁴	1	4	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	4	yes	—
1133	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1135	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1136	C₂³×C₅₃	—	2	4	no	—
1137	C₂³×C₅₃	—	2	4	no	—
1138	C₂³×C₅₃	—	4	2	no	—
1139	C₂³×C₅₃	C₂⁵	1	2	yes	—
1140	C₂³×C₅₃	C₂⁵	1	2	yes	—
1141	C₂³×C₅₃	C₂⁵	1	2	yes	—
1142	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1143	C₂²×D₅₃	—	2	2	no	—
1144	C₂²×D₅₃	—	2	4	no	—
1145	C₂²×D₅₃	—	2	2	no	—
1146	C₂²×D₅₃	—	2	4	no	—
1147	C₂²×D₅₃	—	2	4	no	—
1148	C₂²×D₅₃	—	2	4	no	—
1149	C₂²×D₅₃	—	2	4	no	—
1150	C₂²×D₅₃	—	2	4	no	—
1151	C₂²×D₅₃	—	2	4	no	—
1152	C₂²×D₅₃	—	2	4	no	—
1153	C₂²×D₅₃	—	2	4	no	—
1154	C₂²×D₅₃	—	2	4	no	—
1155	C₂²×D₅₃	—	2	4	no	—
1156	C₂²×D₅₃	—	2	4	no	—
1157	C₂²×D₅₃	—	2	4	no	—
1158	C₂²×D₅₃	—	2	4	no	—
1159	C₂²×D₅₃	—	4	2	no	—
1160	C₂²×D₅₃	—	4	2	no	—
1161	C₂²×D₅₃	—	4	2	no	—
1162	C₂²×D₅₃	—	4	32	no	—
1163	C₂²×D₅₃	C₂×#41	1	8	yes	—
1164	C₂²×D₅₃	2₋¹⁺⁴	1	4	yes	—
1165	C₂²×D₅₃	C₂⁵	1	2	yes	—
1166	C₂²×D₅₃	C₂⁵	1	2	yes	—
1167	C₂²×D₅₃	C₂⁵	1	2	yes	—
1168	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1169	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1170	Q₈×C₅₃	—	2	4	no	—
1171	Q₈×C₅₃	—	2	2	no	—
1172	Q₈×C₅₃	—	2	4	no	—
1173	Q₈×C₅₃	—	4	4	no	—
1174	D₄×C₅₃	—	2	4	no	—
1175	D₄×C₅₃	—	2	8	no	—
1176	D₄×C₅₃	—	2	4	no	—
1177	D₄×C₅₃	—	2	2	no	—
1178	D₄×C₅₃	—	2	2	no	—
1179	D₄×C₅₃	—	4	4	no	—
1180	D₄×C₅₃	C₂×#41	1	4	yes	complemented
1181	C₂×C₄×C₅₃	—	2	8	no	—
1182	C₂×C₄×C₅₃	—	2	2	no	—
1183	C₂×C₄×C₅₃	—	2	2	no	—
1184	C₂×C₄×C₅₃	—	2	4	no	—
1185	C₂×C₄×C₅₃	—	2	4	no	—
1186	C₂×C₄×C₅₃	—	2	2	no	—
1187	C₂×C₄×C₅₃	—	2	4	no	—
1188	C₂×C₄×C₅₃	—	4	4	no	—
1189	C₂×C₄×C₅₃	—	4	2	no	—
1190	C₂×C₄×C₅₃	—	4	2	no	—
1191	C₂×C₄×C₅₃	—	4	2	no	—
1192	C₂×C₄×C₅₃	—	4	4	no	—
1193	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1194	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1195	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1196	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1197	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1198	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1199	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1200	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1201	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1202	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1203	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1204	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1205	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1206	C₂²⋊D₅₃	—	2	8	no	—
1207	C₂²⋊D₅₃	—	2	4	no	—
1208	C₂²⋊D₅₃	—	2	4	no	—
1209	C₂²⋊D₅₃	—	2	8	no	—
1210	C₂²⋊D₅₃	—	2	4	no	—
1211	C₂²⋊D₅₃	—	2	4	no	—
1212	C₂²⋊D₅₃	—	2	4	no	—
1213	C₂²⋊D₅₃	—	2	4	no	—
1214	C₂²⋊D₅₃	—	4	4	no	—
1215	C₂²⋊D₅₃	—	4	4	no	—
1216	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1217	C₂×Dic₅₃	—	2	8	no	—
1218	C₂×Dic₅₃	—	2	2	no	—
1219	C₂×Dic₅₃	—	2	4	no	—
1220	C₂×Dic₅₃	—	2	2	no	—
1221	C₂×Dic₅₃	—	2	4	no	—
1222	C₂×Dic₅₃	—	2	2	no	—
1223	C₂×Dic₅₃	—	2	4	no	—
1224	C₂×Dic₅₃	—	4	4	no	—
1225	C₂×Dic₅₃	—	4	2	no	—
1226	C₂×Dic₅₃	—	4	2	no	—
1227	C₂×Dic₅₃	—	4	2	no	—
1228	C₂×Dic₅₃	—	4	4	no	—
1229	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1230	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1231	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1232	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1233	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1234	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1235	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1236	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1237	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1238	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1239	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1240	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1241	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1242	D₂₁₂	—	2	4	no	—
1243	D₂₁₂	—	2	8	no	—
1244	D₂₁₂	—	2	4	no	—
1245	D₂₁₂	—	2	2	no	—
1246	D₂₁₂	—	2	2	no	—
1247	D₂₁₂	—	4	4	no	—
1248	D₂₁₂	C₂×#41	1	4	yes	complemented
1249	C₄×D₅₃	—	2	4	no	—
1250	C₄×D₅₃	—	2	8	no	—
1251	C₄×D₅₃	—	2	2	no	—
1252	C₄×D₅₃	—	2	8	no	—
1253	C₄×D₅₃	—	2	8	no	—
1254	C₄×D₅₃	—	2	2	no	—
1255	C₄×D₅₃	—	2	4	no	—
1256	C₄×D₅₃	—	2	4	no	—
1257	C₄×D₅₃	—	2	8	no	—
1258	C₄×D₅₃	—	2	4	no	—
1259	C₄×D₅₃	—	2	2	no	—
1260	C₄×D₅₃	—	2	2	no	—
1261	C₄×D₅₃	—	2	2	no	—
1262	C₄×D₅₃	—	2	2	no	—
1263	C₄×D₅₃	—	2	4	no	—
1264	C₄×D₅₃	—	2	2	no	—
1265	C₄×D₅₃	—	2	4	no	—
1266	C₄×D₅₃	—	2	2	no	—
1267	C₄×D₅₃	—	2	4	no	—
1268	C₄×D₅₃	—	2	4	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	4	no	—
1274	C₄×D₅₃	—	4	2	no	—
1275	C₄×D₅₃	—	4	2	no	—
1276	C₄×D₅₃	—	4	2	no	—
1277	C₄×D₅₃	—	4	2	no	—
1278	C₄×D₅₃	—	4	2	no	—
1279	C₄×D₅₃	—	4	2	no	—
1280	C₄×D₅₃	—	4	4	no	—
1281	C₄×D₅₃	—	4	4	no	—
1282	C₄×D₅₃	—	4	4	no	—
1283	C₄×D₅₃	—	4	4	no	—
1284	C₄×D₅₃	C₂×#41	1	4	yes	—
1285	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1286	Dic₁₀₆	—	2	4	no	—
1287	Dic₁₀₆	—	2	2	no	—
1288	Dic₁₀₆	—	2	4	no	—
1289	Dic₁₀₆	—	2	8	no	—
1290	Dic₁₀₆	—	2	4	no	—
1291	Dic₁₀₆	—	2	8	no	—
1292	Dic₁₀₆	—	4	4	no	—
1293	Dic₁₀₆	—	4	4	no	—
1294	Dic₁₀₆	—	4	4	no	—
1295	C₂×#3520	—	53	1	no	maximal, Sylow
1296	C₂²×C₅₃	—	2	1	no	—
1297	C₂²×C₅₃	—	2	2	no	—
1298	C₂²×C₅₃	—	2	1	no	—
1299	C₂²×C₅₃	—	2	2	no	—
1300	C₂²×C₅₃	—	2	2	no	—
1301	C₂²×C₅₃	—	2	2	no	—
1302	C₂²×C₅₃	—	2	2	no	—
1303	C₂²×C₅₃	—	2	2	no	—
1304	C₂²×C₅₃	—	2	2	no	—
1305	C₂²×C₅₃	—	2	2	no	—
1306	C₂²×C₅₃	—	4	8	no	—
1307	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1308	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1309	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1310	C₂×D₅₃	—	2	1	no	—
1311	C₂×D₅₃	—	2	2	no	—
1312	C₂×D₅₃	—	2	1	no	—
1313	C₂×D₅₃	—	2	2	no	—
1314	C₂×D₅₃	—	2	8	no	—
1315	C₂×D₅₃	—	2	16	no	—
1316	C₂×D₅₃	—	2	2	no	—
1317	C₂×D₅₃	—	2	2	no	—
1318	C₂×D₅₃	—	2	2	no	—
1319	C₂×D₅₃	—	2	2	no	—
1320	C₂×D₅₃	—	2	2	no	—
1321	C₂×D₅₃	—	2	2	no	—
1322	C₂×D₅₃	—	4	8	no	—
1323	C₂×D₅₃	—	4	8	no	—
1324	C₂×D₅₃	—	4	8	no	—
1325	C₂×D₅₃	—	4	8	no	—
1326	C₂×D₅₃	—	4	8	no	—
1327	C₂×D₅₃	C₂²×#41	1	4	yes	—
1328	C₂×D₅₃	C₂²×#41	1	2	yes	—
1329	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1330	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1331	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1332	C₄×C₅₃	—	2	4	no	—
1333	C₄×C₅₃	—	2	2	no	—
1334	C₄×C₅₃	—	2	1	no	—
1335	C₄×C₅₃	—	2	2	no	—
1336	C₄×C₅₃	—	2	4	no	—
1337	C₄×C₅₃	—	2	2	no	—
1338	C₄×C₅₃	—	2	1	no	—
1339	C₄×C₅₃	—	2	2	no	—
1340	C₄×C₅₃	—	2	1	no	—
1341	C₄×C₅₃	—	2	1	no	—
1342	C₄×C₅₃	—	2	2	no	—
1343	C₄×C₅₃	C₂²×#41	1	2	yes	—
1344	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1345	Dic₅₃	—	2	4	no	—
1346	Dic₅₃	—	2	2	no	—
1347	Dic₅₃	—	2	1	no	—
1348	Dic₅₃	—	2	2	no	—
1349	Dic₅₃	—	2	4	no	—
1350	Dic₅₃	—	2	2	no	—
1351	Dic₅₃	—	2	1	no	—
1352	Dic₅₃	—	2	2	no	—
1353	Dic₅₃	—	2	1	no	—
1354	Dic₅₃	—	2	1	no	—
1355	Dic₅₃	—	2	2	no	—
1356	Dic₅₃	C₂²×#41	1	2	yes	—
1357	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1358	#3520	—	53	1	no	—
1359	#3520	—	53	2	no	—
1360	#3520	—	53	2	no	—
1361	#3520	—	53	4	no	—
1362	#3520	—	53	1	no	—
1363	#3520	—	53	2	no	—
1364	#3520	—	53	1	no	—
1365	#3520	—	53	1	no	—
1366	#3520	—	53	2	no	—
1367	#3520	—	53	2	no	—
1368	#3520	—	53	4	no	—
1369	#3520	—	53	1	no	—
1370	#3520	—	53	1	no	—
1371	#3520	—	53	2	no	—
1372	#3520	—	53	2	no	—
1373	#3520	—	53	2	no	—
1374	#3520	—	53	1	no	—
1375	#3520	D₅₃	1	1	yes	characteristic, direct product factor
1376	C₂×#556	—	53	1	no	—
1377	C₂×#554	—	53	2	no	—
1378	C₂×#552	—	53	2	no	—
1379	C₂×#551	—	53	4	no	—
1380	C₂×D₄×Q₈	—	53	1	no	—
1381	C₂×#548	—	53	2	no	—
1382	C₂×#547	—	53	1	no	—
1383	C₂×#547	—	53	1	no	—
1384	C₂×#546	—	53	2	no	—
1385	C₂×#542	—	53	2	no	—
1386	C₂×#539	—	53	4	no	—
1387	C₂×#533	—	53	1	no	—
1388	C₂×#529	—	53	1	no	—
1389	C₂×#525	—	53	2	no	—
1390	C₂²×C₂²⋊Q₈	—	53	2	no	—
1391	C₂×#520	—	53	2	no	—
1392	C₂²×C₄×D₄	—	53	1	no	—
1393	C₂×C₅₃	—	2	2	no	—
1394	C₂×C₅₃	—	2	4	no	—
1395	C₂×C₅₃	—	4	2	no	—
1396	C₂×C₅₃	—	4	2	no	—
1397	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1398	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1399	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1400	D₅₃	—	2	2	no	—
1401	D₅₃	—	2	4	no	—
1402	D₅₃	—	4	2	no	—
1403	D₅₃	—	4	2	no	—
1404	D₅₃	#3520	1	4	yes	direct product factor
1405	C₂²×#41	—	53	2	no	—
1406	C₂²×#41	—	53	2	no	—
1407	C₂³×Q₈	—	53	2	no	—
1408	C₂³×D₄	—	53	1	no	—
1409	C₂⁴×C₄	—	53	2	no	—
1410	#556	—	53	1	no	—
1411	#556	—	53	4	no	—
1412	#556	—	53	2	no	—
1413	#556	—	53	2	no	—
1414	#556	—	53	2	no	—
1415	#556	—	53	1	no	—
1416	#556	—	53	1	no	—
1417	#556	—	53	2	no	—
1418	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
1419	#554	—	53	2	no	—
1420	#554	—	53	4	no	—
1421	#554	—	53	4	no	—
1422	#554	—	53	2	no	—
1423	#554	—	53	4	no	—
1424	#554	—	53	2	no	—
1425	#554	—	53	2	no	—
1426	#554	—	53	2	no	—
1427	#554	—	53	4	no	—
1428	#554	—	53	2	no	—
1429	#554	—	53	2	no	—
1430	#554	C₂×D₅₃	1	2	yes	complemented
1431	#552	—	53	4	no	—
1432	#552	—	53	4	no	—
1433	#552	—	53	2	no	—
1434	#552	—	53	4	no	—
1435	#552	—	53	2	no	—
1436	#552	—	53	2	no	—
1437	#552	—	53	2	no	—
1438	#552	—	53	2	no	—
1439	#552	—	53	4	no	—
1440	#552	—	53	2	no	—
1441	#552	—	53	2	no	—
1442	#552	C₂×D₅₃	1	2	yes	complemented
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	—	53	4	no	—
1457	#551	—	53	4	no	—
1458	#551	C₂×D₅₃	1	4	yes	complemented
1459	D₄×Q₈	—	53	2	no	—
1460	D₄×Q₈	—	53	2	no	—
1461	D₄×Q₈	—	53	1	no	—
1462	D₄×Q₈	—	53	2	no	—
1463	D₄×Q₈	—	53	4	no	—
1464	D₄×Q₈	—	53	1	no	—
1465	D₄×Q₈	—	53	2	no	—
1466	D₄×Q₈	—	53	1	no	—
1467	D₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1468	#548	—	53	2	no	—
1469	#548	—	53	2	no	—
1470	#548	—	53	4	no	—
1471	#548	—	53	2	no	—
1472	#548	—	53	2	no	—
1473	#548	—	53	4	no	—
1474	#548	—	53	4	no	—
1475	#548	—	53	2	no	—
1476	#548	—	53	2	no	—
1477	#548	—	53	2	no	—
1478	#548	—	53	4	no	—
1479	#548	C₂×D₅₃	1	2	yes	complemented
1480	#547	—	53	2	no	—
1481	#547	—	53	2	no	—
1482	#547	—	53	1	no	—
1483	#547	—	53	1	no	—
1484	#547	—	53	4	no	—
1485	#547	—	53	4	no	—
1486	#547	—	53	2	no	—
1487	#547	—	53	2	no	—
1488	#547	—	53	2	no	—
1489	#547	—	53	2	no	—
1490	#547	—	53	1	no	—
1491	#547	—	53	1	no	—
1492	#547	—	53	1	no	—
1493	#547	—	53	1	no	—
1494	#547	—	53	2	no	—
1495	#547	—	53	2	no	—
1496	#547	C₂×D₅₃	1	1	yes	characteristic, complemented
1497	#547	C₂×D₅₃	1	1	yes	characteristic, complemented
1498	#546	—	53	2	no	—
1499	#546	—	53	2	no	—
1500	#546	—	53	2	no	—
1501	#546	—	53	4	no	—
1502	#546	—	53	2	no	—
1503	#546	—	53	2	no	—
1504	#546	—	53	4	no	—
1505	#546	—	53	4	no	—
1506	#546	—	53	2	no	—
1507	#546	—	53	2	no	—
1508	#546	—	53	4	no	—
1509	#546	C₂×D₅₃	1	2	yes	complemented
1510	#542	—	53	2	no	—
1511	#542	—	53	4	no	—
1512	#542	—	53	2	no	—
1513	#542	—	53	4	no	—
1514	#542	—	53	4	no	—
1515	#542	—	53	4	no	—
1516	#542	—	53	2	no	—
1517	#542	—	53	2	no	—
1518	#542	—	53	2	no	—
1519	#542	—	53	2	no	—
1520	#542	—	53	2	no	—
1521	#542	C₂×D₅₃	1	2	yes	complemented
1522	#539	—	53	4	no	—
1523	#539	—	53	4	no	—
1524	#539	—	53	4	no	—
1525	#539	—	53	4	no	—
1526	#539	—	53	4	no	—
1527	#539	—	53	4	no	—
1528	#539	—	53	4	no	—
1529	#539	—	53	4	no	—
1530	#539	—	53	4	no	—
1531	#539	—	53	4	no	—
1532	#539	—	53	4	no	—
1533	#539	—	53	4	no	—
1534	#539	—	53	4	no	—
1535	#539	—	53	4	no	—
1536	#539	—	53	4	no	—
1537	#539	C₂×D₅₃	1	4	yes	complemented
1538	#533	—	53	1	no	—
1539	#533	—	53	1	no	—
1540	#533	—	53	2	no	—
1541	#533	—	53	2	no	—
1542	#533	—	53	2	no	—
1543	#533	—	53	2	no	—
1544	#533	—	53	2	no	—
1545	#533	—	53	2	no	—
1546	#533	—	53	1	no	—
1547	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1548	C₂×C₄⋊Q₈	—	53	1	no	—
1549	C₂×C₄⋊Q₈	—	53	1	no	—
1550	C₂×C₄⋊Q₈	—	53	2	no	—
1551	#529	—	53	2	no	—
1552	#529	—	53	1	no	—
1553	#529	—	53	1	no	—
1554	#529	—	53	2	no	—
1555	#529	—	53	1	no	—
1556	#529	—	53	1	no	—
1557	#529	—	53	1	no	—
1558	#529	—	53	2	no	—
1559	#529	—	53	1	no	—
1560	#529	—	53	2	no	—
1561	#529	—	53	1	no	—
1562	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1563	C₂×#126	—	53	2	no	—
1564	C₂×#126	—	53	4	no	—
1565	C₂×#126	—	53	4	no	—
1566	C₂×#125	—	53	1	no	—
1567	C₂×#125	—	53	2	no	—
1568	C₂×#125	—	53	4	no	—
1569	C₂×#124	—	53	2	no	—
1570	C₂×#124	—	53	1	no	—
1571	C₂×#124	—	53	4	no	—
1572	#525	—	53	2	no	—
1573	#525	—	53	2	no	—
1574	#525	—	53	4	no	—
1575	#525	—	53	2	no	—
1576	#525	—	53	2	no	—
1577	#525	—	53	2	no	—
1578	#525	—	53	2	no	—
1579	#525	—	53	4	no	—
1580	#525	—	53	4	no	—
1581	#525	—	53	4	no	—
1582	#525	—	53	2	no	—
1583	#525	C₂×D₅₃	1	2	yes	complemented
1584	C₂×#123	—	53	2	no	—
1585	C₂×#123	—	53	4	no	—
1586	C₂×#123	—	53	4	no	—
1587	C₂×#123	—	53	4	no	—
1588	C₂×#123	—	53	4	no	—
1589	C₂×C₂²⋊Q₈	—	53	2	no	—
1590	C₂×C₂²⋊Q₈	—	53	2	no	—
1591	C₂×C₂²⋊Q₈	—	53	1	no	—
1592	C₂×C₂²⋊Q₈	—	53	2	no	—
1593	C₂×C₂²⋊Q₈	—	53	4	no	—
1594	C₂×C₂²⋊Q₈	—	53	4	no	—
1595	C₂×C₂²⋊Q₈	—	53	2	no	—
1596	C₂×C₂²⋊Q₈	—	53	2	no	—
1597	C₂×C₂²⋊Q₈	—	53	2	no	—
1598	C₂×C₂²⋊Q₈	—	53	4	no	—
1599	C₂×C₂²⋊Q₈	—	53	2	no	—
1600	C₂×C₂²⋊Q₈	—	53	2	no	—
1601	C₂×C₂²⋊Q₈	—	53	2	no	—
1602	C₂×C₂²⋊Q₈	—	53	2	no	—
1603	C₂×C₂²⋊Q₈	—	53	4	no	—
1604	C₂×C₂²⋊Q₈	—	53	2	no	—
1605	C₂×C₂²⋊Q₈	—	53	4	no	—
1606	C₂×C₂²⋊Q₈	—	53	4	no	—
1607	C₂×C₂²⋊Q₈	—	53	2	no	—
1608	C₂×C₂²⋊Q₈	—	53	4	no	—
1609	C₂×C₂²⋊Q₈	—	53	2	no	—
1610	C₂×C₂²⋊Q₈	—	53	4	no	—
1611	C₂×C₂²⋊Q₈	C₂×D₅₃	1	2	yes	complemented
1612	C₂×#121	—	53	1	no	—
1613	C₂×#121	—	53	4	no	—
1614	C₂×#121	—	53	2	no	—
1615	C₂×#121	—	53	2	no	—
1616	C₂×#120	—	53	4	no	—
1617	#520	—	53	2	no	—
1618	#520	—	53	2	no	—
1619	#520	—	53	2	no	—
1620	#520	—	53	2	no	—
1621	#520	—	53	2	no	—
1622	#520	—	53	4	no	—
1623	#520	—	53	4	no	—
1624	#520	—	53	4	no	—
1625	#520	—	53	2	no	—
1626	#520	—	53	2	no	—
1627	#520	—	53	4	no	—
1628	#520	C₂×D₅₃	1	2	yes	complemented
1629	C₂×C₄×Q₈	—	53	2	no	—
1630	C₂×C₄×Q₈	—	53	2	no	—
1631	C₂×C₄×Q₈	—	53	1	no	—
1632	C₂×C₄×Q₈	—	53	2	no	—
1633	C₂×C₄×D₄	—	53	1	no	—
1634	C₂×C₄×D₄	—	53	2	no	—
1635	C₂×C₄×D₄	—	53	1	no	—
1636	C₂×C₄×D₄	—	53	2	no	—
1637	C₂×C₄×D₄	—	53	1	no	—
1638	C₂×C₄×D₄	—	53	1	no	—
1639	C₂×C₄×D₄	—	53	1	no	—
1640	C₂×C₄×D₄	—	53	2	no	—
1641	C₂×C₄×D₄	—	53	2	no	—
1642	C₂×C₄×D₄	—	53	4	no	—
1643	C₂×C₄×D₄	—	53	2	no	—
1644	C₂×C₄×D₄	—	53	1	no	—
1645	C₂×C₄×D₄	—	53	2	no	—
1646	C₂×C₄×D₄	—	53	1	no	—
1647	C₂×C₄×D₄	—	53	1	no	—
1648	C₂×C₄×D₄	—	53	1	no	—
1649	C₂×C₄×D₄	—	53	2	no	—
1650	C₂×C₄×D₄	—	53	4	no	—
1651	C₂×C₄×D₄	—	53	4	no	—
1652	C₂×C₄×D₄	—	53	1	no	—
1653	C₂×C₄×D₄	—	53	1	no	—
1654	C₂×C₄×D₄	—	53	2	no	—
1655	C₂×C₄×D₄	—	53	1	no	—
1656	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1657	C₂×#117	—	53	2	no	—
1658	C₂×#117	—	53	2	no	—
1659	C₂×#117	—	53	4	no	—
1660	C₂×#117	—	53	2	no	—
1661	C₂²×C₄⋊C₄	—	53	1	no	—
1662	C₂²×C₄⋊C₄	—	53	4	no	—
1663	C₂²×C₄⋊C₄	—	53	2	no	—
1664	C₂²×C₄⋊C₄	—	53	2	no	—
1665	C₂²×C₂²⋊C₄	—	53	2	no	—
1666	C₂²×C₂²⋊C₄	—	53	4	no	—
1667	C₂²×C₄²	—	53	1	no	—
1668	C₅₃	C₂×#3520	1	1	yes	characteristic, complemented, Sylow
1669	C₂⁵	—	53	2	no	—
1670	C₂×#41	—	53	2	no	—
1671	C₂×#41	—	53	2	no	—
1672	C₂×#41	—	53	2	no	—
1673	C₂×#41	—	53	4	no	—
1674	C₂×#41	—	53	4	no	—
1675	C₂×#41	—	53	2	no	—
1676	C₂×#41	—	53	2	no	—
1677	C₂×#41	—	53	4	no	—
1678	C₂×#41	—	53	4	no	—
1679	C₂×#41	—	53	2	no	—
1680	C₂×#41	—	106	16	no	—
1681	C₂×#41	—	212	8	no	—
1682	C₂×#41	C₂²×D₅₃	1	2	yes	—
1683	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1684	C₂²×Q₈	—	53	2	no	—
1685	C₂²×Q₈	—	53	1	no	—
1686	C₂²×Q₈	—	53	2	no	—
1687	C₂²×Q₈	—	53	4	no	—
1688	C₂²×Q₈	—	53	4	no	—
1689	C₂²×Q₈	—	53	2	no	—
1690	C₂²×Q₈	—	53	2	no	—
1691	C₂²×Q₈	—	53	4	no	—
1692	C₂²×Q₈	—	53	2	no	—
1693	C₂²×Q₈	—	212	8	no	—
1694	C₂²×Q₈	C₂²×D₅₃	1	2	yes	complemented
1695	C₂²×D₄	—	53	1	no	—
1696	C₂²×D₄	—	53	2	no	—
1697	C₂²×D₄	—	53	2	no	—
1698	C₂²×D₄	—	53	4	no	—
1699	C₂²×D₄	—	53	2	no	—
1700	C₂²×D₄	—	53	1	no	—
1701	C₂²×D₄	—	53	2	no	—
1702	C₂²×D₄	—	53	1	no	—
1703	C₂²×D₄	—	53	1	no	—
1704	C₂²×D₄	—	53	1	no	—
1705	C₂²×D₄	—	53	4	no	—
1706	C₂²×D₄	—	53	1	no	—
1707	C₂²×D₄	—	106	8	no	—
1708	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1709	C₂³×C₄	—	53	2	no	—
1710	C₂³×C₄	—	53	1	no	—
1711	C₂³×C₄	—	53	4	no	—
1712	C₂³×C₄	—	53	2	no	—
1713	C₂³×C₄	—	53	2	no	—
1714	C₂³×C₄	—	53	1	no	—
1715	C₂³×C₄	—	53	2	no	—
1716	C₂³×C₄	—	53	1	no	—
1717	C₂³×C₄	—	53	4	no	—
1718	C₂³×C₄	—	53	2	no	—
1719	C₂³×C₄	—	53	2	no	—
1720	C₂³×C₄	—	53	4	no	—
1721	C₂³×C₄	—	53	2	no	—
1722	C₂³×C₄	—	53	2	no	—
1723	C₂³×C₄	—	53	2	no	—
1724	C₂³×C₄	—	53	2	no	—
1725	C₂³×C₄	—	53	2	no	—
1726	C₂³×C₄	—	53	2	no	—
1727	C₂³×C₄	—	53	2	no	—
1728	C₂³×C₄	—	212	8	no	—
1729	C₂³×C₄	C₂²×D₅₃	1	2	yes	—
1730	C₄⋊Q₈	—	53	2	no	—
1731	C₄⋊Q₈	—	53	2	no	—
1732	C₄⋊Q₈	—	53	4	no	—
1733	C₄⋊Q₈	—	53	2	no	—
1734	C₄⋊Q₈	—	53	2	no	—
1735	C₄⋊Q₈	—	53	2	no	—
1736	C₄⋊Q₈	—	53	2	no	—
1737	C₄⋊Q₈	—	53	4	no	—
1738	C₄⋊Q₈	—	53	2	no	—
1739	C₄⋊Q₈	—	53	2	no	—
1740	C₄⋊Q₈	—	53	1	no	—
1741	C₄⋊Q₈	—	53	1	no	—
1742	C₄⋊Q₈	—	53	2	no	—
1743	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1744	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1745	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1746	#126	—	53	2	no	—
1747	#126	—	53	2	no	—
1748	#126	—	53	2	no	—
1749	#126	—	53	4	no	—
1750	#126	—	53	4	no	—
1751	#126	—	53	4	no	—
1752	#126	—	53	4	no	—
1753	#126	—	53	4	no	—
1754	#126	—	53	4	no	—
1755	#126	—	53	2	no	—
1756	#126	—	53	2	no	—
1757	#126	—	53	2	no	—
1758	#126	—	53	4	no	—
1759	#126	—	53	4	no	—
1760	#126	—	53	4	no	—
1761	#126	—	53	4	no	—
1762	#126	—	53	4	no	—
1763	#126	—	53	4	no	—
1764	#126	—	53	2	no	—
1765	#126	—	53	4	no	—
1766	#126	—	53	4	no	—
1767	#126	C₂²×D₅₃	1	2	yes	complemented
1768	#126	C₂²×D₅₃	1	4	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	4	no	—
1775	#125	—	53	4	no	—
1776	#125	—	53	2	no	—
1777	#125	—	53	2	no	—
1778	#125	—	53	4	no	—
1779	#125	—	53	4	no	—
1780	#125	—	53	4	no	—
1781	#125	—	53	4	no	—
1782	#125	—	53	4	no	—
1783	#125	—	53	4	no	—
1784	#125	—	53	1	no	—
1785	#125	—	53	2	no	—
1786	#125	—	53	4	no	—
1787	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1788	#125	C₂²×D₅₃	1	2	yes	complemented
1789	#125	C₂²×D₅₃	1	4	yes	complemented
1790	#124	—	53	1	no	—
1791	#124	—	53	2	no	—
1792	#124	—	53	4	no	—
1793	#124	—	53	1	no	—
1794	#124	—	53	2	no	—
1795	#124	—	53	4	no	—
1796	#124	—	53	2	no	—
1797	#124	—	53	2	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	1	no	—
1805	#124	—	53	2	no	—
1806	#124	—	53	4	no	—
1807	#124	C₂²×D₅₃	1	2	yes	—
1808	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1809	#124	C₂²×D₅₃	1	4	yes	complemented
1810	#123	—	53	4	no	—
1811	#123	—	53	2	no	—
1812	#123	—	53	4	no	—
1813	#123	—	53	4	no	—
1814	#123	—	53	4	no	—
1815	#123	—	53	4	no	—
1816	#123	—	53	2	no	—
1817	#123	—	53	4	no	—
1818	#123	—	53	4	no	—
1819	#123	—	53	4	no	—
1820	#123	—	53	4	no	—
1821	#123	—	53	4	no	—
1822	#123	—	53	2	no	—
1823	#123	—	53	2	no	—
1824	#123	—	53	4	no	—
1825	#123	—	53	4	no	—
1826	#123	—	53	4	no	—
1827	#123	—	53	4	no	—
1828	#123	—	53	4	no	—
1829	#123	—	53	4	no	—
1830	#123	—	53	4	no	—
1831	#123	—	53	4	no	—
1832	#123	—	53	4	no	—
1833	#123	—	53	2	no	—
1834	#123	—	53	2	no	—
1835	#123	—	53	2	no	—
1836	#123	—	53	4	no	—
1837	#123	—	53	4	no	—
1838	#123	—	53	4	no	—
1839	#123	—	53	4	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	C₂²×D₅₃	1	2	yes	—
1846	#123	C₂²×D₅₃	1	4	yes	—
1847	#123	C₂²×D₅₃	1	4	yes	complemented
1848	#123	C₂²×D₅₃	1	4	yes	complemented
1849	#123	C₂²×D₅₃	1	4	yes	complemented
1850	C₂²⋊Q₈	—	53	1	no	—
1851	C₂²⋊Q₈	—	53	2	no	—
1852	C₂²⋊Q₈	—	53	4	no	—
1853	C₂²⋊Q₈	—	53	2	no	—
1854	C₂²⋊Q₈	—	53	2	no	—
1855	C₂²⋊Q₈	—	53	4	no	—
1856	C₂²⋊Q₈	—	53	2	no	—
1857	C₂²⋊Q₈	—	53	2	no	—
1858	C₂²⋊Q₈	—	53	4	no	—
1859	C₂²⋊Q₈	—	53	4	no	—
1860	C₂²⋊Q₈	—	53	2	no	—
1861	C₂²⋊Q₈	—	53	1	no	—
1862	C₂²⋊Q₈	—	53	2	no	—
1863	C₂²⋊Q₈	—	53	4	no	—
1864	C₂²⋊Q₈	—	53	2	no	—
1865	C₂²⋊Q₈	—	53	2	no	—
1866	C₂²⋊Q₈	—	53	4	no	—
1867	C₂²⋊Q₈	—	53	2	no	—
1868	C₂²⋊Q₈	—	53	2	no	—
1869	C₂²⋊Q₈	—	53	4	no	—
1870	C₂²⋊Q₈	—	53	4	no	—
1871	C₂²⋊Q₈	—	53	2	no	—
1872	C₂²⋊Q₈	—	53	2	no	—
1873	C₂²⋊Q₈	—	53	1	no	—
1874	C₂²⋊Q₈	—	53	4	no	—
1875	C₂²⋊Q₈	—	53	2	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	2	no	—
1883	C₂²⋊Q₈	—	53	4	no	—
1884	C₂²⋊Q₈	—	53	4	no	—
1885	C₂²⋊Q₈	—	53	4	no	—
1886	C₂²⋊Q₈	—	53	4	no	—
1887	C₂²⋊Q₈	—	53	2	no	—
1888	C₂²⋊Q₈	—	53	4	no	—
1889	C₂²⋊Q₈	—	53	2	no	—
1890	C₂²⋊Q₈	—	53	4	no	—
1891	C₂²⋊Q₈	—	53	4	no	—
1892	C₂²⋊Q₈	—	53	4	no	—
1893	C₂²⋊Q₈	—	53	4	no	—
1894	C₂²⋊Q₈	—	53	4	no	—
1895	C₂²⋊Q₈	—	53	4	no	—
1896	C₂²⋊Q₈	—	53	4	no	—
1897	C₂²⋊Q₈	—	53	2	no	—
1898	C₂²⋊Q₈	—	53	2	no	—
1899	C₂²⋊Q₈	—	53	4	no	—
1900	C₂²⋊Q₈	—	53	4	no	—
1901	C₂²⋊Q₈	—	53	4	no	—
1902	C₂²⋊Q₈	—	53	4	no	—
1903	C₂²⋊Q₈	—	53	4	no	—
1904	C₂²⋊Q₈	—	53	4	no	—
1905	C₂²⋊Q₈	—	53	4	no	—
1906	C₂²⋊Q₈	—	53	4	no	—
1907	C₂²⋊Q₈	—	53	4	no	—
1908	C₂²⋊Q₈	—	53	4	no	—
1909	C₂²⋊Q₈	—	53	4	no	—
1910	C₂²⋊Q₈	—	53	4	no	—
1911	C₂²⋊Q₈	—	53	4	no	—
1912	C₂²⋊Q₈	—	53	4	no	—
1913	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1914	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1915	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1916	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1917	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1918	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1919	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1920	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1921	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1922	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1923	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1924	#121	—	53	1	no	—
1925	#121	—	53	2	no	—
1926	#121	—	53	2	no	—
1927	#121	—	53	4	no	—
1928	#121	—	53	4	no	—
1929	#121	—	53	4	no	—
1930	#121	—	53	4	no	—
1931	#121	—	53	2	no	—
1932	#121	—	53	4	no	—
1933	#121	—	53	1	no	—
1934	#121	—	53	2	no	—
1935	#121	—	53	4	no	—
1936	#121	—	53	2	no	—
1937	#121	—	53	1	no	—
1938	#121	—	53	2	no	—
1939	#121	—	53	4	no	—
1940	#121	—	53	2	no	—
1941	#121	—	53	2	no	—
1942	#121	—	53	4	no	—
1943	#121	—	53	4	no	—
1944	#121	—	53	4	no	—
1945	#121	—	53	4	no	—
1946	#121	C₂²×D₅₃	1	1	yes	characteristic
1947	#121	C₂²×D₅₃	1	4	yes	—
1948	#121	C₂²×D₅₃	1	2	yes	—
1949	#121	C₂²×D₅₃	1	2	yes	complemented
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	—	53	4	no	—
1957	#120	C₂²×D₅₃	1	4	yes	—
1958	C₄×Q₈	—	53	2	no	—
1959	C₄×Q₈	—	53	2	no	—
1960	C₄×Q₈	—	53	1	no	—
1961	C₄×Q₈	—	53	2	no	—
1962	C₄×Q₈	—	53	4	no	—
1963	C₄×Q₈	—	53	2	no	—
1964	C₄×Q₈	—	53	4	no	—
1965	C₄×Q₈	—	53	2	no	—
1966	C₄×Q₈	—	53	2	no	—
1967	C₄×Q₈	—	53	1	no	—
1968	C₄×Q₈	—	53	4	no	—
1969	C₄×Q₈	—	53	2	no	—
1970	C₄×Q₈	—	53	4	no	—
1971	C₄×Q₈	—	53	2	no	—
1972	C₄×Q₈	—	53	2	no	—
1973	C₄×Q₈	—	53	4	no	—
1974	C₄×Q₈	—	53	2	no	—
1975	C₄×Q₈	—	53	1	no	—
1976	C₄×Q₈	—	53	4	no	—
1977	C₄×Q₈	—	53	2	no	—
1978	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1979	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1980	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1981	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1982	C₄×D₄	—	53	1	no	—
1983	C₄×D₄	—	53	2	no	—
1984	C₄×D₄	—	53	1	no	—
1985	C₄×D₄	—	53	1	no	—
1986	C₄×D₄	—	53	1	no	—
1987	C₄×D₄	—	53	2	no	—
1988	C₄×D₄	—	53	4	no	—
1989	C₄×D₄	—	53	2	no	—
1990	C₄×D₄	—	53	4	no	—
1991	C₄×D₄	—	53	4	no	—
1992	C₄×D₄	—	53	2	no	—
1993	C₄×D₄	—	53	1	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	2	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	4	no	—
2009	C₄×D₄	—	53	2	no	—
2010	C₄×D₄	—	53	2	no	—
2011	C₄×D₄	—	53	2	no	—
2012	C₄×D₄	—	53	1	no	—
2013	C₄×D₄	—	53	2	no	—
2014	C₄×D₄	—	53	1	no	—
2015	C₄×D₄	—	53	1	no	—
2016	C₄×D₄	—	53	1	no	—
2017	C₄×D₄	—	53	2	no	—
2018	C₄×D₄	—	53	4	no	—
2019	C₄×D₄	—	53	2	no	—
2020	C₄×D₄	—	53	4	no	—
2021	C₄×D₄	—	53	4	no	—
2022	C₄×D₄	—	53	2	no	—
2023	C₄×D₄	—	53	1	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	1	no	—
2043	C₄×D₄	—	53	2	no	—
2044	C₄×D₄	—	53	1	no	—
2045	C₄×D₄	—	53	1	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	4	no	—
2051	C₄×D₄	—	53	4	no	—
2052	C₄×D₄	—	53	2	no	—
2053	C₄×D₄	—	53	1	no	—
2054	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2055	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2056	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
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	2	yes	—
2061	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2062	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2063	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2064	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2065	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2066	#117	—	53	2	no	—
2067	#117	—	53	4	no	—
2068	#117	—	53	2	no	—
2069	#117	—	53	2	no	—
2070	#117	—	53	2	no	—
2071	#117	—	53	2	no	—
2072	#117	—	53	4	no	—
2073	#117	—	53	4	no	—
2074	#117	—	53	2	no	—
2075	#117	—	53	2	no	—
2076	#117	—	53	2	no	—
2077	#117	—	53	2	no	—
2078	#117	—	53	2	no	—
2079	#117	—	53	2	no	—
2080	#117	—	53	4	no	—
2081	#117	—	53	4	no	—
2082	#117	—	53	4	no	—
2083	#117	—	53	4	no	—
2084	#117	—	53	2	no	—
2085	#117	—	53	2	no	—
2086	#117	—	53	4	no	—
2087	#117	—	53	4	no	—
2088	#117	—	53	4	no	—
2089	#117	—	53	4	no	—
2090	#117	C₂²×D₅₃	1	2	yes	—
2091	#117	C₂²×D₅₃	1	2	yes	complemented
2092	#117	C₂²×D₅₃	1	4	yes	complemented
2093	#117	C₂²×D₅₃	1	2	yes	complemented
2094	C₂×C₄⋊C₄	—	53	2	no	—
2095	C₂×C₄⋊C₄	—	53	1	no	—
2096	C₂×C₄⋊C₄	—	53	4	no	—
2097	C₂×C₄⋊C₄	—	53	4	no	—
2098	C₂×C₄⋊C₄	—	53	4	no	—
2099	C₂×C₄⋊C₄	—	53	4	no	—
2100	C₂×C₄⋊C₄	—	53	2	no	—
2101	C₂×C₄⋊C₄	—	53	4	no	—
2102	C₂×C₄⋊C₄	—	53	2	no	—
2103	C₂×C₄⋊C₄	—	53	1	no	—
2104	C₂×C₄⋊C₄	—	53	2	no	—
2105	C₂×C₄⋊C₄	—	53	4	no	—
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	1	no	—
2110	C₂×C₄⋊C₄	—	53	2	no	—
2111	C₂×C₄⋊C₄	—	53	1	no	—
2112	C₂×C₄⋊C₄	—	53	1	no	—
2113	C₂×C₄⋊C₄	—	53	2	no	—
2114	C₂×C₄⋊C₄	—	53	4	no	—
2115	C₂×C₄⋊C₄	—	53	4	no	—
2116	C₂×C₄⋊C₄	—	53	4	no	—
2117	C₂×C₄⋊C₄	—	53	4	no	—
2118	C₂×C₄⋊C₄	—	53	4	no	—
2119	C₂×C₄⋊C₄	—	53	4	no	—
2120	C₂×C₄⋊C₄	—	53	4	no	—
2121	C₂×C₄⋊C₄	—	53	2	no	—
2122	C₂×C₄⋊C₄	—	53	2	no	—
2123	C₂×C₄⋊C₄	—	53	4	no	—
2124	C₂×C₄⋊C₄	—	53	4	no	—
2125	C₂×C₄⋊C₄	—	53	2	no	—
2126	C₂×C₄⋊C₄	—	53	2	no	—
2127	C₂×C₄⋊C₄	—	53	2	no	—
2128	C₂×C₄⋊C₄	—	53	1	no	—
2129	C₂×C₄⋊C₄	—	53	2	no	—
2130	C₂×C₄⋊C₄	—	53	2	no	—
2131	C₂×C₄⋊C₄	—	53	4	no	—
2132	C₂×C₄⋊C₄	—	53	2	no	—
2133	C₂×C₄⋊C₄	—	53	4	no	—
2134	C₂×C₄⋊C₄	—	53	2	no	—
2135	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2136	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2137	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2138	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2139	C₂×C₂²⋊C₄	—	53	2	no	—
2140	C₂×C₂²⋊C₄	—	53	4	no	—
2141	C₂×C₂²⋊C₄	—	53	2	no	—
2142	C₂×C₂²⋊C₄	—	53	2	no	—
2143	C₂×C₂²⋊C₄	—	53	4	no	—
2144	C₂×C₂²⋊C₄	—	53	4	no	—
2145	C₂×C₂²⋊C₄	—	53	2	no	—
2146	C₂×C₂²⋊C₄	—	53	2	no	—
2147	C₂×C₂²⋊C₄	—	53	4	no	—
2148	C₂×C₂²⋊C₄	—	53	2	no	—
2149	C₂×C₂²⋊C₄	—	53	2	no	—
2150	C₂×C₂²⋊C₄	—	53	2	no	—
2151	C₂×C₂²⋊C₄	—	53	2	no	—
2152	C₂×C₂²⋊C₄	—	53	2	no	—
2153	C₂×C₂²⋊C₄	—	53	2	no	—
2154	C₂×C₂²⋊C₄	—	53	2	no	—
2155	C₂×C₂²⋊C₄	—	53	4	no	—
2156	C₂×C₂²⋊C₄	—	53	4	no	—
2157	C₂×C₂²⋊C₄	—	53	4	no	—
2158	C₂×C₂²⋊C₄	—	53	4	no	—
2159	C₂×C₂²⋊C₄	—	53	4	no	—
2160	C₂×C₂²⋊C₄	—	53	4	no	—
2161	C₂×C₂²⋊C₄	—	53	4	no	—
2162	C₂×C₂²⋊C₄	—	53	2	no	—
2163	C₂×C₂²⋊C₄	—	53	2	no	—
2164	C₂×C₂²⋊C₄	—	53	4	no	—
2165	C₂×C₂²⋊C₄	—	53	2	no	—
2166	C₂×C₂²⋊C₄	—	53	4	no	—
2167	C₂×C₂²⋊C₄	—	53	2	no	—
2168	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2169	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
2170	C₂×C₄²	—	53	1	no	—
2171	C₂×C₄²	—	53	1	no	—
2172	C₂×C₄²	—	53	1	no	—
2173	C₂×C₄²	—	53	1	no	—
2174	C₂×C₄²	—	53	4	no	—
2175	C₂×C₄²	—	53	4	no	—
2176	C₂×C₄²	—	53	2	no	—
2177	C₂×C₄²	—	53	1	no	—
2178	C₂×C₄²	—	53	1	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	1	yes	characteristic
2185	C₂⁴	—	53	1	no	—
2186	C₂⁴	—	53	2	no	—
2187	C₂⁴	—	53	2	no	—
2188	C₂⁴	—	53	2	no	—
2189	C₂⁴	—	53	2	no	—
2190	C₂⁴	—	53	2	no	—
2191	C₂⁴	—	53	2	no	—
2192	C₂⁴	—	106	8	no	—
2193	C₂⁴	—	106	8	no	—
2194	C₂⁴	—	212	4	no	—
2195	C₂⁴	C₂³×D₅₃	1	2	yes	—
2196	#41	—	2	8	no	—
2197	#41	—	4	4	no	—
2198	#41	—	106	16	no	—
2199	#41	—	106	8	no	—
2200	#41	—	106	16	no	—
2201	#41	—	106	8	no	—
2202	#41	—	106	8	no	—
2203	#41	—	212	4	no	—
2204	#41	—	212	8	no	—
2205	#41	—	212	4	no	—
2206	#41	—	212	8	no	—
2207	#41	—	212	4	no	—
2208	C₂×Q₈	—	4	4	no	—
2209	C₂×Q₈	—	53	4	no	—
2210	C₂×Q₈	—	53	2	no	—
2211	C₂×Q₈	—	53	2	no	—
2212	C₂×Q₈	—	53	1	no	—
2213	C₂×Q₈	—	53	4	no	—
2214	C₂×Q₈	—	53	2	no	—
2215	C₂×Q₈	—	53	4	no	—
2216	C₂×Q₈	—	53	4	no	—
2217	C₂×Q₈	—	53	4	no	—
2218	C₂×Q₈	—	106	4	no	—
2219	C₂×Q₈	—	106	8	no	—
2220	C₂×Q₈	—	106	8	no	—
2221	C₂×Q₈	—	212	4	no	—
2222	C₂×Q₈	—	212	8	no	—
2223	C₂×Q₈	—	212	8	no	—
2224	C₂×Q₈	—	212	4	no	—
2225	C₂×Q₈	—	212	4	no	—
2226	C₂×Q₈	—	212	8	no	—
2227	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2228	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2229	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2230	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2231	C₂×D₄	—	2	4	no	—
2232	C₂×D₄	—	53	2	no	—
2233	C₂×D₄	—	53	8	no	—
2234	C₂×D₄	—	53	2	no	—
2235	C₂×D₄	—	53	2	no	—
2236	C₂×D₄	—	53	4	no	—
2237	C₂×D₄	—	53	4	no	—
2238	C₂×D₄	—	53	2	no	—
2239	C₂×D₄	—	53	2	no	—
2240	C₂×D₄	—	53	2	no	—
2241	C₂×D₄	—	53	2	no	—
2242	C₂×D₄	—	53	4	no	—
2243	C₂×D₄	—	53	4	no	—
2244	C₂×D₄	—	53	1	no	—
2245	C₂×D₄	—	53	2	no	—
2246	C₂×D₄	—	53	4	no	—
2247	C₂×D₄	—	53	2	no	—
2248	C₂×D₄	—	53	1	no	—
2249	C₂×D₄	—	53	1	no	—
2250	C₂×D₄	—	53	4	no	—
2251	C₂×D₄	—	106	4	no	—
2252	C₂×D₄	—	106	4	no	—
2253	C₂×D₄	—	106	4	no	—
2254	C₂×D₄	—	106	8	no	—
2255	C₂×D₄	—	106	4	no	—
2256	C₂×D₄	—	106	8	no	—
2257	C₂×D₄	—	106	8	no	—
2258	C₂×D₄	—	106	16	no	—
2259	C₂×D₄	—	106	8	no	—
2260	C₂×D₄	—	106	4	no	—
2261	C₂×D₄	—	212	8	no	—
2262	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2263	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2264	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2265	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2266	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2267	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2268	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2269	C₂²×C₄	—	4	4	no	—
2270	C₂²×C₄	—	53	1	no	—
2271	C₂²×C₄	—	53	1	no	—
2272	C₂²×C₄	—	53	1	no	—
2273	C₂²×C₄	—	53	1	no	—
2274	C₂²×C₄	—	53	1	no	—
2275	C₂²×C₄	—	53	4	no	—
2276	C₂²×C₄	—	53	2	no	—
2277	C₂²×C₄	—	53	2	no	—
2278	C₂²×C₄	—	53	2	no	—
2279	C₂²×C₄	—	53	4	no	—
2280	C₂²×C₄	—	53	2	no	—
2281	C₂²×C₄	—	53	2	no	—
2282	C₂²×C₄	—	53	4	no	—
2283	C₂²×C₄	—	53	2	no	—
2284	C₂²×C₄	—	53	1	no	—
2285	C₂²×C₄	—	53	2	no	—
2286	C₂²×C₄	—	53	1	no	—
2287	C₂²×C₄	—	53	4	no	—
2288	C₂²×C₄	—	53	1	no	—
2289	C₂²×C₄	—	53	1	no	—
2290	C₂²×C₄	—	53	1	no	—
2291	C₂²×C₄	—	53	1	no	—
2292	C₂²×C₄	—	53	2	no	—
2293	C₂²×C₄	—	53	1	no	—
2294	C₂²×C₄	—	53	1	no	—
2295	C₂²×C₄	—	53	1	no	—
2296	C₂²×C₄	—	53	1	no	—
2297	C₂²×C₄	—	53	2	no	—
2298	C₂²×C₄	—	53	4	no	—
2299	C₂²×C₄	—	53	2	no	—
2300	C₂²×C₄	—	53	2	no	—
2301	C₂²×C₄	—	53	4	no	—
2302	C₂²×C₄	—	53	4	no	—
2303	C₂²×C₄	—	53	2	no	—
2304	C₂²×C₄	—	53	2	no	—
2305	C₂²×C₄	—	53	2	no	—
2306	C₂²×C₄	—	53	2	no	—
2307	C₂²×C₄	—	53	2	no	—
2308	C₂²×C₄	—	53	2	no	—
2309	C₂²×C₄	—	53	4	no	—
2310	C₂²×C₄	—	53	4	no	—
2311	C₂²×C₄	—	53	2	no	—
2312	C₂²×C₄	—	53	2	no	—
2313	C₂²×C₄	—	53	2	no	—
2314	C₂²×C₄	—	53	2	no	—
2315	C₂²×C₄	—	53	4	no	—
2316	C₂²×C₄	—	53	4	no	—
2317	C₂²×C₄	—	53	2	no	—
2318	C₂²×C₄	—	53	2	no	—
2319	C₂²×C₄	—	106	4	no	—
2320	C₂²×C₄	—	106	8	no	—
2321	C₂²×C₄	—	106	8	no	—
2322	C₂²×C₄	—	106	4	no	—
2323	C₂²×C₄	—	106	8	no	—
2324	C₂²×C₄	—	106	4	no	—
2325	C₂²×C₄	—	106	16	no	—
2326	C₂²×C₄	—	212	4	no	—
2327	C₂²×C₄	—	212	4	no	—
2328	C₂²×C₄	—	212	4	no	—
2329	C₂²×C₄	—	212	4	no	—
2330	C₂²×C₄	—	212	4	no	—
2331	C₂²×C₄	—	212	4	no	—
2332	C₂²×C₄	—	212	4	no	—
2333	C₂²×C₄	—	212	4	no	—
2334	C₂²×C₄	—	212	4	no	—
2335	C₂²×C₄	—	212	8	no	—
2336	C₂²×C₄	—	212	8	no	—
2337	C₂²×C₄	—	212	4	no	—
2338	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2339	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2340	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2341	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2342	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2343	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2344	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2345	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2346	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2347	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2348	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2349	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2350	C₄⋊C₄	—	53	2	no	—
2351	C₄⋊C₄	—	53	1	no	—
2352	C₄⋊C₄	—	53	2	no	—
2353	C₄⋊C₄	—	53	2	no	—
2354	C₄⋊C₄	—	53	2	no	—
2355	C₄⋊C₄	—	53	4	no	—
2356	C₄⋊C₄	—	53	4	no	—
2357	C₄⋊C₄	—	53	4	no	—
2358	C₄⋊C₄	—	53	2	no	—
2359	C₄⋊C₄	—	53	1	no	—
2360	C₄⋊C₄	—	53	4	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	4	no	—
2368	C₄⋊C₄	—	53	2	no	—
2369	C₄⋊C₄	—	53	4	no	—
2370	C₄⋊C₄	—	53	4	no	—
2371	C₄⋊C₄	—	53	4	no	—
2372	C₄⋊C₄	—	53	4	no	—
2373	C₄⋊C₄	—	53	4	no	—
2374	C₄⋊C₄	—	53	4	no	—
2375	C₄⋊C₄	—	53	4	no	—
2376	C₄⋊C₄	—	53	4	no	—
2377	C₄⋊C₄	—	53	4	no	—
2378	C₄⋊C₄	—	53	2	no	—
2379	C₄⋊C₄	—	53	2	no	—
2380	C₄⋊C₄	—	53	2	no	—
2381	C₄⋊C₄	—	53	2	no	—
2382	C₄⋊C₄	—	53	1	no	—
2383	C₄⋊C₄	—	53	4	no	—
2384	C₄⋊C₄	—	53	2	no	—
2385	C₄⋊C₄	—	53	4	no	—
2386	C₄⋊C₄	—	53	2	no	—
2387	C₄⋊C₄	—	53	4	no	—
2388	C₄⋊C₄	—	53	4	no	—
2389	C₄⋊C₄	—	53	4	no	—
2390	C₄⋊C₄	—	53	2	no	—
2391	C₄⋊C₄	—	53	2	no	—
2392	C₄⋊C₄	—	53	2	no	—
2393	C₄⋊C₄	—	53	4	no	—
2394	C₄⋊C₄	—	53	4	no	—
2395	C₄⋊C₄	—	53	4	no	—
2396	C₄⋊C₄	—	53	2	no	—
2397	C₄⋊C₄	—	53	2	no	—
2398	C₄⋊C₄	—	53	2	no	—
2399	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2400	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2401	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2402	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2403	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2404	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2405	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2406	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2407	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2408	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2409	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2410	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2411	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2412	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2413	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2414	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2415	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2416	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2417	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2418	C₂²⋊C₄	—	53	2	no	—
2419	C₂²⋊C₄	—	53	2	no	—
2420	C₂²⋊C₄	—	53	4	no	—
2421	C₂²⋊C₄	—	53	2	no	—
2422	C₂²⋊C₄	—	53	2	no	—
2423	C₂²⋊C₄	—	53	2	no	—
2424	C₂²⋊C₄	—	53	4	no	—
2425	C₂²⋊C₄	—	53	4	no	—
2426	C₂²⋊C₄	—	53	4	no	—
2427	C₂²⋊C₄	—	53	2	no	—
2428	C₂²⋊C₄	—	53	2	no	—
2429	C₂²⋊C₄	—	53	4	no	—
2430	C₂²⋊C₄	—	53	2	no	—
2431	C₂²⋊C₄	—	53	4	no	—
2432	C₂²⋊C₄	—	53	2	no	—
2433	C₂²⋊C₄	—	53	2	no	—
2434	C₂²⋊C₄	—	53	2	no	—
2435	C₂²⋊C₄	—	53	2	no	—
2436	C₂²⋊C₄	—	53	2	no	—
2437	C₂²⋊C₄	—	53	4	no	—
2438	C₂²⋊C₄	—	53	4	no	—
2439	C₂²⋊C₄	—	53	2	no	—
2440	C₂²⋊C₄	—	53	2	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	4	no	—
2448	C₂²⋊C₄	—	53	4	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	—	53	2	no	—
2454	C₂²⋊C₄	—	53	2	no	—
2455	C₂²⋊C₄	—	53	4	no	—
2456	C₂²⋊C₄	—	53	4	no	—
2457	C₂²⋊C₄	—	53	2	no	—
2458	C₂²⋊C₄	—	53	2	no	—
2459	C₂²⋊C₄	—	53	4	no	—
2460	C₂²⋊C₄	—	53	4	no	—
2461	C₂²⋊C₄	—	53	2	no	—
2462	C₂²⋊C₄	—	53	2	no	—
2463	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2464	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2465	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2466	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2467	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2468	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2469	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2470	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2471	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2472	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2473	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2474	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2475	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2476	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2477	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2478	C₄²	—	53	1	no	—
2479	C₄²	—	53	1	no	—
2480	C₄²	—	53	1	no	—
2481	C₄²	—	53	1	no	—
2482	C₄²	—	53	1	no	—
2483	C₄²	—	53	1	no	—
2484	C₄²	—	53	1	no	—
2485	C₄²	—	53	1	no	—
2486	C₄²	—	53	1	no	—
2487	C₄²	—	53	1	no	—
2488	C₄²	—	53	1	no	—
2489	C₄²	—	53	1	no	—
2490	C₄²	—	53	4	no	—
2491	C₄²	—	53	4	no	—
2492	C₄²	—	53	4	no	—
2493	C₄²	—	53	4	no	—
2494	C₄²	—	53	4	no	—
2495	C₄²	—	53	4	no	—
2496	C₄²	—	53	2	no	—
2497	C₄²	—	53	2	no	—
2498	C₄²	—	53	2	no	—
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	1	yes	characteristic
2503	C₄²	C₂³×D₅₃	1	4	yes	—
2504	C₄²	C₂³×D₅₃	1	4	yes	—
2505	C₄²	C₂³×D₅₃	1	2	yes	—
2506	C₂³	—	2	4	no	—
2507	C₂³	—	2	4	no	—
2508	C₂³	—	4	2	no	—
2509	C₂³	—	53	1	no	—
2510	C₂³	—	53	8	no	—
2511	C₂³	—	53	4	no	—
2512	C₂³	—	53	1	no	—
2513	C₂³	—	53	2	no	—
2514	C₂³	—	53	2	no	—
2515	C₂³	—	53	2	no	—
2516	C₂³	—	106	4	no	—
2517	C₂³	—	106	2	no	—
2518	C₂³	—	106	2	no	—
2519	C₂³	—	106	4	no	—
2520	C₂³	—	106	4	no	—
2521	C₂³	—	106	4	no	—
2522	C₂³	—	106	4	no	—
2523	C₂³	—	106	4	no	—
2524	C₂³	—	106	4	no	—
2525	C₂³	—	106	4	no	—
2526	C₂³	—	106	4	no	—
2527	C₂³	—	106	4	no	—
2528	C₂³	—	106	4	no	—
2529	C₂³	—	106	4	no	—
2530	C₂³	—	106	4	no	—
2531	C₂³	—	106	4	no	—
2532	C₂³	—	212	2	no	—
2533	C₂³	—	212	2	no	—
2534	C₂³	—	212	2	no	—
2535	C₂³	—	212	32	no	—
2536	C₂³	C₂⁴×D₅₃	1	2	yes	—
2537	C₂³	C₂⁴×D₅₃	1	2	yes	—
2538	C₂³	C₂⁴×D₅₃	1	2	yes	—
2539	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2540	Q₈	—	2	4	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	8	no	—
2547	Q₈	—	106	4	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	4	no	—
2554	D₄	—	2	8	no	—
2555	D₄	—	2	4	no	—
2556	D₄	—	2	2	no	—
2557	D₄	—	2	2	no	—
2558	D₄	—	4	4	no	—
2559	D₄	—	53	8	no	—
2560	D₄	—	53	4	no	—
2561	D₄	—	106	4	no	—
2562	D₄	—	106	4	no	—
2563	D₄	—	106	8	no	—
2564	D₄	—	106	4	no	—
2565	D₄	—	106	4	no	—
2566	D₄	—	106	4	no	—
2567	D₄	—	106	4	no	—
2568	D₄	—	106	8	no	—
2569	D₄	—	106	4	no	—
2570	D₄	—	106	8	no	—
2571	D₄	—	106	4	no	—
2572	D₄	—	106	2	no	—
2573	D₄	—	106	2	no	—
2574	D₄	—	212	4	no	—
2575	D₄	—	212	4	no	—
2576	D₄	—	212	4	no	—
2577	D₄	#41×D₅₃	1	4	yes	complemented
2578	C₂×C₄	—	2	8	no	—
2579	C₂×C₄	—	2	2	no	—
2580	C₂×C₄	—	2	2	no	—
2581	C₂×C₄	—	2	4	no	—
2582	C₂×C₄	—	2	2	no	—
2583	C₂×C₄	—	2	4	no	—
2584	C₂×C₄	—	2	4	no	—
2585	C₂×C₄	—	4	2	no	—
2586	C₂×C₄	—	4	2	no	—
2587	C₂×C₄	—	4	2	no	—
2588	C₂×C₄	—	4	4	no	—
2589	C₂×C₄	—	4	4	no	—
2590	C₂×C₄	—	53	1	no	—
2591	C₂×C₄	—	53	1	no	—
2592	C₂×C₄	—	53	4	no	—
2593	C₂×C₄	—	53	4	no	—
2594	C₂×C₄	—	53	1	no	—
2595	C₂×C₄	—	53	2	no	—
2596	C₂×C₄	—	53	1	no	—
2597	C₂×C₄	—	53	4	no	—
2598	C₂×C₄	—	53	1	no	—
2599	C₂×C₄	—	53	1	no	—
2600	C₂×C₄	—	53	2	no	—
2601	C₂×C₄	—	53	2	no	—
2602	C₂×C₄	—	53	4	no	—
2603	C₂×C₄	—	53	2	no	—
2604	C₂×C₄	—	53	2	no	—
2605	C₂×C₄	—	106	2	no	—
2606	C₂×C₄	—	106	4	no	—
2607	C₂×C₄	—	106	4	no	—
2608	C₂×C₄	—	106	2	no	—
2609	C₂×C₄	—	106	4	no	—
2610	C₂×C₄	—	106	2	no	—
2611	C₂×C₄	—	106	2	no	—
2612	C₂×C₄	—	106	2	no	—
2613	C₂×C₄	—	106	2	no	—
2614	C₂×C₄	—	106	4	no	—
2615	C₂×C₄	—	106	2	no	—
2616	C₂×C₄	—	106	4	no	—
2617	C₂×C₄	—	106	4	no	—
2618	C₂×C₄	—	106	2	no	—
2619	C₂×C₄	—	106	8	no	—
2620	C₂×C₄	—	106	8	no	—
2621	C₂×C₄	—	106	8	no	—
2622	C₂×C₄	—	106	8	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	4	no	—
2628	C₂×C₄	—	106	2	no	—
2629	C₂×C₄	—	106	4	no	—
2630	C₂×C₄	—	106	8	no	—
2631	C₂×C₄	—	106	2	no	—
2632	C₂×C₄	—	106	2	no	—
2633	C₂×C₄	—	106	4	no	—
2634	C₂×C₄	—	106	2	no	—
2635	C₂×C₄	—	106	4	no	—
2636	C₂×C₄	—	106	4	no	—
2637	C₂×C₄	—	212	2	no	—
2638	C₂×C₄	—	212	2	no	—
2639	C₂×C₄	—	212	2	no	—
2640	C₂×C₄	—	212	2	no	—
2641	C₂×C₄	—	212	2	no	—
2642	C₂×C₄	—	212	2	no	—
2643	C₂×C₄	—	212	4	no	—
2644	C₂×C₄	—	212	4	no	—
2645	C₂×C₄	—	212	4	no	—
2646	C₂×C₄	—	212	4	no	—
2647	C₂×C₄	—	212	2	no	—
2648	C₂×C₄	—	212	2	no	—
2649	C₂×C₄	—	212	2	no	—
2650	C₂×C₄	—	212	4	no	—
2651	C₂×C₄	—	212	4	no	—
2652	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2653	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2654	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2655	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2656	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2657	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2658	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2659	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2660	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2661	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2662	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2663	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2664	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2665	C₂²	—	2	1	no	—
2666	C₂²	—	2	2	no	—
2667	C₂²	—	2	1	no	—
2668	C₂²	—	2	2	no	—
2669	C₂²	—	2	2	no	—
2670	C₂²	—	2	2	no	—
2671	C₂²	—	2	2	no	—
2672	C₂²	—	2	2	no	—
2673	C₂²	—	2	2	no	—
2674	C₂²	—	2	2	no	—
2675	C₂²	—	4	8	no	—
2676	C₂²	—	53	2	no	—
2677	C₂²	—	53	2	no	—
2678	C₂²	—	53	2	no	—
2679	C₂²	—	53	4	no	—
2680	C₂²	—	53	2	no	—
2681	C₂²	—	106	8	no	—
2682	C₂²	—	106	16	no	—
2683	C₂²	—	106	1	no	—
2684	C₂²	—	106	2	no	—
2685	C₂²	—	106	1	no	—
2686	C₂²	—	106	2	no	—
2687	C₂²	—	106	2	no	—
2688	C₂²	—	106	2	no	—
2689	C₂²	—	106	2	no	—
2690	C₂²	—	106	2	no	—
2691	C₂²	—	106	2	no	—
2692	C₂²	—	106	2	no	—
2693	C₂²	—	212	8	no	—
2694	C₂²	—	212	8	no	—
2695	C₂²	—	212	8	no	—
2696	C₂²	—	212	8	no	—
2697	C₂²	—	212	8	no	—
2698	C₂²	C₂×#41×D₅₃	1	4	yes	—
2699	C₂²	2₋¹⁺⁴×D₅₃	1	2	yes	—
2700	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2701	C₄	—	2	2	no	—
2702	C₄	—	2	1	no	—
2703	C₄	—	2	4	no	—
2704	C₄	—	2	1	no	—
2705	C₄	—	2	2	no	—
2706	C₄	—	2	2	no	—
2707	C₄	—	2	4	no	—
2708	C₄	—	2	2	no	—
2709	C₄	—	2	1	no	—
2710	C₄	—	2	1	no	—
2711	C₄	—	2	2	no	—
2712	C₄	—	53	2	no	—
2713	C₄	—	53	2	no	—
2714	C₄	—	106	2	no	—
2715	C₄	—	106	1	no	—
2716	C₄	—	106	4	no	—
2717	C₄	—	106	1	no	—
2718	C₄	—	106	2	no	—
2719	C₄	—	106	2	no	—
2720	C₄	—	106	4	no	—
2721	C₄	—	106	2	no	—
2722	C₄	—	106	1	no	—
2723	C₄	—	106	1	no	—
2724	C₄	—	106	2	no	—
2725	C₄	C₂×#41×D₅₃	1	2	yes	—
2726	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2727	C₂	—	2	2	no	—
2728	C₂	—	2	4	no	—
2729	C₂	—	4	2	no	—
2730	C₂	—	4	2	no	—
2731	C₂	—	53	4	no	—
2732	C₂	—	106	2	no	—
2733	C₂	—	106	4	no	—
2734	C₂	—	212	2	no	—
2735	C₂	—	212	2	no	—
2736	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2737	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2738	C₂	C₂×2₋¹⁺⁴×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3520	C₂
hypercenter	#3520	D₅₃
hypocenter	C₅₃	C₂×#3520
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3520

Complements

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

N	H ≅ G/N	type
1. #20288767	C₂	semidirect
2. #20288766	C₂	semidirect
3. #20288765	C₂	semidirect
4. #20288764	C₂	semidirect
5. #20288763	C₂	semidirect
6. #20288762	C₂	semidirect
7. #20288761	C₂	semidirect
8. #20288760	C₂	semidirect
9. #20288759	C₂	semidirect
10. #20288758	C₂	semidirect
11. #20288757	C₂	semidirect
12. #20288756	C₂	semidirect
13. #20288755	C₂	semidirect
14. #20288754	C₂	semidirect
15. #20288753	C₂	semidirect
16. #20288752	C₂	semidirect
17. #20288751	C₂	semidirect
18. #556×D₅₃	C₂	semidirect
19. #554×D₅₃	C₂	semidirect
20. #552×D₅₃	C₂	semidirect
21. #551×D₅₃	C₂	semidirect
22. D₄×Q₈×D₅₃	C₂	semidirect
23. #548×D₅₃	C₂	semidirect
24. #547×D₅₃	C₂	semidirect
25. #547×D₅₃	C₂	semidirect
26. #546×D₅₃	C₂	semidirect
27. #542×D₅₃	C₂	semidirect
28. #539×D₅₃	C₂	semidirect
29. #533×D₅₃	C₂	semidirect
30. #529×D₅₃	C₂	semidirect
31. #525×D₅₃	C₂	semidirect
32. C₂×C₂²⋊Q₈×D₅₃	C₂	semidirect
33. #520×D₅₃	C₂	semidirect
34. C₂×C₄×D₄×D₅₃	C₂	semidirect
35. C₅₃×#3520	C₂	semidirect
37. C₂×#41×D₅₃	C₂²	semidirect
38. C₂²×Q₈×D₅₃	C₂²	semidirect
41. #16811347	C₂²	semidirect
42. #16811346	C₂²	semidirect
43. #16811345	C₂²	semidirect
44. #16811344	C₂²	semidirect
45. #16811343	C₂²	semidirect
46. #16811342	C₂²	semidirect
47. #16811341	C₂²	semidirect
48. #16811340	C₂²	semidirect
49. #16811334	C₂²	semidirect
50. #16811333	C₂²	semidirect
51. #16811332	C₂²	semidirect
52. #16811331	C₂²	semidirect
53. #16811331	C₂²	semidirect
54. #16811330	C₂²	semidirect
55. #16811329	C₂²	semidirect
56. #16811328	C₂²	semidirect
57. #16811328	C₂²	semidirect
58. #16811327	C₂²	semidirect
59. #16811327	C₂²	semidirect
60. #16811315	C₂²	semidirect
61. #16811314	C₂²	semidirect
62. #16811313	C₂²	semidirect
63. #16811312	C₂²	semidirect
64. #16811311	C₂²	semidirect
65. #16811310	C₂²	semidirect
66. #16811309	C₂²	semidirect
67. #16811308	C₂²	semidirect
68. #16811307	C₂²	semidirect
69. #16811306	C₂²	semidirect
70. #16811305	C₂²	semidirect
71. #16811304	C₂²	semidirect
72. #16811303	C₂²	semidirect
73. #16811302	C₂²	semidirect
74. #16811302	C₂²	semidirect
75. #16811301	C₂²	semidirect
76. #16811300	C₂²	semidirect
77. #16811300	C₂²	semidirect
78. #16811299	C₂²	semidirect
79. #16811299	C₂²	semidirect
80. #16811298	C₂²	semidirect
81. #16811298	C₂²	semidirect
82. #16811297	C₂²	semidirect
83. #16811297	C₂²	semidirect
84. #16811296	C₂²	semidirect
85. #16811296	C₂²	semidirect
86. Q₈×D₂₁₂	C₂²	semidirect
87. D₄×Dic₁₀₆	C₂²	semidirect
88. D₄×Dic₁₀₆	C₂²	semidirect
89. #16811288	C₂²	semidirect
90. #16811288	C₂²	semidirect
91. Q₈×C₂²⋊D₅₃	C₂²	semidirect
92. #16811286	C₂²	semidirect
93. #16811286	C₂²	semidirect
94. #16811285	C₂²	semidirect
95. #16811284	C₂²	semidirect
96. #16811283	C₂²	semidirect
97. #16811283	C₂²	semidirect
98. #16811282	C₂²	semidirect
99. #16811282	C₂²	semidirect
100. #16811281	C₂²	semidirect
101. #16811281	C₂²	semidirect
102. #16811280	C₂²	semidirect
103. #16811279	C₂²	semidirect
104. #16811279	C₂²	semidirect
105. #16811278	C₂²	semidirect
106. #16811278	C₂²	semidirect
107. #16811277	C₂²	semidirect
108. #16811277	C₂²	semidirect
109. #16811276	C₂²	semidirect
110. #16811276	C₂²	semidirect
111. #16811275	C₂²	semidirect
112. #16811275	C₂²	semidirect
113. #16811274	C₂²	semidirect
114. #16811274	C₂²	semidirect
115. #16811273	C₂²	semidirect
116. #16811273	C₂²	semidirect
117. #16811272	C₂²	semidirect
118. #16811272	C₂²	semidirect
119. #16811271	C₂²	semidirect
120. #16811271	C₂²	semidirect
121. #16811270	C₂²	semidirect
122. #16811269	C₂²	semidirect
123. #16811268	C₂²	semidirect
124. #16811267	C₂²	semidirect
125. #16811266	C₂²	semidirect
126. #16811265	C₂²	semidirect
127. #16811264	C₂²	semidirect
128. #16811263	C₂²	semidirect
129. #16811262	C₂²	semidirect
130. #16811261	C₂²	semidirect
131. #16811260	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. #16811222	C₂²	semidirect
144. #16811221	C₂²	semidirect
145. #16811221	C₂²	semidirect
146. #16811220	C₂²	semidirect
147. #16811219	C₂²	semidirect
148. #16811219	C₂²	semidirect
149. #16811218	C₂²	semidirect
150. #16811217	C₂²	semidirect
151. #16811217	C₂²	semidirect
152. #16811216	C₂²	semidirect
153. #16811216	C₂²	semidirect
154. #16811215	C₂²	semidirect
155. #16811215	C₂²	semidirect
156. #16811214	C₂²	semidirect
157. #16811214	C₂²	semidirect
158. #16811180	C₂²	semidirect
159. #16811179	C₂²	semidirect
160. #16811178	C₂²	semidirect
161. #16811178	C₂²	semidirect
162. #16811177	C₂²	semidirect
163. #16811177	C₂²	semidirect
164. #16811176	C₂²	semidirect
165. #16811175	C₂²	semidirect
166. #16811175	C₂²	semidirect
167. C₄⋊Q₈×D₅₃	C₂²	semidirect
168. C₄⋊Q₈×D₅₃	C₂²	semidirect
169. C₄⋊Q₈×D₅₃	C₂²	semidirect
170. #16811160	C₂²	semidirect
171. #16811159	C₂²	semidirect
172. #16811158	C₂²	semidirect
173. #16811157	C₂²	semidirect
174. #16811156	C₂²	semidirect
175. #16811155	C₂²	semidirect
176. #16811154	C₂²	semidirect
177. #16811153	C₂²	semidirect
178. #16811152	C₂²	semidirect
179. #16811151	C₂²	semidirect
180. #16811150	C₂²	semidirect
181. #126×D₅₃	C₂²	semidirect
182. #126×D₅₃	C₂²	semidirect
183. #126×D₅₃	C₂²	semidirect
184. #125×D₅₃	C₂²	semidirect
185. #125×D₅₃	C₂²	semidirect
186. #125×D₅₃	C₂²	semidirect
188. #124×D₅₃	C₂²	semidirect
189. #124×D₅₃	C₂²	semidirect
190. #16811136	C₂²	semidirect
191. #16811136	C₂²	semidirect
192. #16811135	C₂²	semidirect
193. #16811134	C₂²	semidirect
194. #16811133	C₂²	semidirect
195. #16811133	C₂²	semidirect
196. #16811132	C₂²	semidirect
197. #16811132	C₂²	semidirect
198. #16811131	C₂²	semidirect
199. #16811130	C₂²	semidirect
200. #16811129	C₂²	semidirect
203. #123×D₅₃	C₂²	semidirect
204. #123×D₅₃	C₂²	semidirect
205. #123×D₅₃	C₂²	semidirect
206. C₂×#13133197	C₂²	semidirect
207. C₂×#13133196	C₂²	semidirect
208. C₂×#13133195	C₂²	semidirect
209. C₂×#13133194	C₂²	semidirect
210. C₂×#13133193	C₂²	semidirect
215. C₂²⋊Q₈×D₅₃	C₂²	semidirect
216. C₂²⋊Q₈×D₅₃	C₂²	semidirect
217. C₂²⋊Q₈×D₅₃	C₂²	semidirect
218. C₂²⋊Q₈×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
224. C₂²⋊Q₈×D₅₃	C₂²	semidirect
225. C₂²⋊Q₈×D₅₃	C₂²	semidirect
226. C₂²⋊Q₈×D₅₃	C₂²	semidirect
227. C₂²⋊Q₈×D₅₃	C₂²	semidirect
231. #121×D₅₃	C₂²	semidirect
233. #16811106	C₂²	semidirect
234. #16811105	C₂²	semidirect
235. #16811105	C₂²	semidirect
236. #16811104	C₂²	semidirect
237. #16811104	C₂²	semidirect
238. #16811103	C₂²	semidirect
239. #16811103	C₂²	semidirect
240. #16811102	C₂²	semidirect
241. #16811102	C₂²	semidirect
242. #16811102	C₂²	semidirect
243. #16811102	C₂²	semidirect
244. C₄×Q₈×D₅₃	C₂²	semidirect
245. C₄×Q₈×D₅₃	C₂²	semidirect
246. C₄×Q₈×D₅₃	C₂²	semidirect
247. C₄×Q₈×D₅₃	C₂²	semidirect
248. C₂×C₄×D₂₁₂	C₂²	semidirect
249. C₂×D₄×Dic₅₃	C₂²	semidirect
250. C₂×#13133179	C₂²	semidirect
251. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
252. C₂×#13133177	C₂²	semidirect
262. C₄×D₄×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
272. #117×D₅₃	C₂²	semidirect
273. #117×D₅₃	C₂²	semidirect
274. #117×D₅₃	C₂²	semidirect
276. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
277. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
278. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
282. C₅₃×#556	C₂²	semidirect
283. C₅₃×#554	C₂²	semidirect
284. C₅₃×#552	C₂²	semidirect
285. C₅₃×#551	C₂²	semidirect
286. D₄×Q₈×C₅₃	C₂²	semidirect
287. C₅₃×#548	C₂²	semidirect
288. C₅₃×#547	C₂²	semidirect
289. C₅₃×#547	C₂²	semidirect
290. C₅₃×#546	C₂²	semidirect
291. C₅₃×#542	C₂²	semidirect
292. C₅₃×#539	C₂²	semidirect
293. C₅₃×#533	C₂²	semidirect
294. C₅₃×#529	C₂²	semidirect
295. C₅₃×#525	C₂²	semidirect
296. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
297. C₅₃×#520	C₂²	semidirect
298. C₂×C₄×D₄×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
355. #13133217	C₂³	semidirect
356. #13133217	C₂³	semidirect
357. #13133217	C₂³	semidirect
358. #13133216	C₂³	semidirect
359. #13133216	C₂³	semidirect
360. #13133216	C₂³	semidirect
361. #13133216	C₂³	semidirect
362. #13133216	C₂³	semidirect
363. #13133216	C₂³	semidirect
364. #13133216	C₂³	semidirect
365. #13133215	C₂³	semidirect
366. #13133215	C₂³	semidirect
367. #13133215	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. #13133212	C₂³	semidirect
377. #13133211	C₂³	semidirect
378. #13133211	C₂³	semidirect
379. #13133211	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. #13133210	C₂³	semidirect
389. #13133209	C₂³	semidirect
390. #13133209	C₂³	semidirect
391. #13133209	C₂³	semidirect
392. #13133208	C₂³	semidirect
393. #13133208	C₂³	semidirect
394. #13133208	C₂³	semidirect
395. #13133208	C₂³	semidirect
396. #13133208	C₂³	semidirect
397. #13133208	C₂³	semidirect
398. #13133207	C₂³	semidirect
399. #13133207	C₂³	semidirect
400. #13133207	C₂³	semidirect
401. #13133207	C₂³	semidirect
402. #13133207	C₂³	semidirect
403. #13133207	C₂³	semidirect
404. #13133207	C₂³	semidirect
405. #13133207	C₂³	semidirect
407. #13133206	C₂³	semidirect
408. #13133206	C₂³	semidirect
410. #13133205	C₂³	semidirect
411. #13133205	C₂³	semidirect
413. #13133204	C₂³	semidirect
414. #13133204	C₂³	semidirect
417. #13133203	C₂³	semidirect
418. #13133203	C₂³	semidirect
419. #13133203	C₂³	semidirect
420. #13133203	C₂³	semidirect
421. #13133203	C₂³	semidirect
422. #13133203	C₂³	semidirect
427. #13133202	C₂³	semidirect
428. #13133202	C₂³	semidirect
429. #13133202	C₂³	semidirect
430. #13133202	C₂³	semidirect
431. #13133202	C₂³	semidirect
432. #13133202	C₂³	semidirect
435. #13133201	C₂³	semidirect
436. #13133201	C₂³	semidirect
437. #13133201	C₂³	semidirect
440. #13133200	C₂³	semidirect
441. #13133200	C₂³	semidirect
442. #13133200	C₂³	semidirect
447. #13133199	C₂³	semidirect
448. #13133199	C₂³	semidirect
449. #13133199	C₂³	semidirect
450. #13133199	C₂³	semidirect
451. #13133199	C₂³	semidirect
452. #13133199	C₂³	semidirect
455. #13133198	C₂³	semidirect
456. #13133198	C₂³	semidirect
457. #13133198	C₂³	semidirect
462. #13133197	C₂³	semidirect
463. #13133197	C₂³	semidirect
464. #13133197	C₂³	semidirect
465. #13133197	C₂³	semidirect
466. #13133197	C₂³	semidirect
467. #13133197	C₂³	semidirect
468. #13133197	C₂³	semidirect
473. #13133196	C₂³	semidirect
474. #13133196	C₂³	semidirect
475. #13133196	C₂³	semidirect
476. #13133196	C₂³	semidirect
477. #13133196	C₂³	semidirect
478. #13133196	C₂³	semidirect
479. #13133196	C₂³	semidirect
485. #13133195	C₂³	semidirect
486. #13133195	C₂³	semidirect
487. #13133195	C₂³	semidirect
488. #13133195	C₂³	semidirect
489. #13133195	C₂³	semidirect
490. #13133195	C₂³	semidirect
491. #13133195	C₂³	semidirect
492. #13133195	C₂³	semidirect
493. #13133195	C₂³	semidirect
494. #13133195	C₂³	semidirect
500. #13133194	C₂³	semidirect
501. #13133194	C₂³	semidirect
502. #13133194	C₂³	semidirect
503. #13133194	C₂³	semidirect
504. #13133194	C₂³	semidirect
505. #13133194	C₂³	semidirect
506. #13133194	C₂³	semidirect
507. #13133194	C₂³	semidirect
508. #13133194	C₂³	semidirect
509. #13133194	C₂³	semidirect
514. #13133193	C₂³	semidirect
515. #13133193	C₂³	semidirect
516. #13133193	C₂³	semidirect
517. #13133193	C₂³	semidirect
518. #13133193	C₂³	semidirect
519. #13133193	C₂³	semidirect
520. #13133193	C₂³	semidirect
524. #13133192	C₂³	semidirect
528. #13133191	C₂³	semidirect
533. #13133190	C₂³	semidirect
538. #13133189	C₂³	semidirect
542. #13133188	C₂³	semidirect
550. Q₈×Dic₅₃	C₂³	semidirect
551. Q₈×Dic₅₃	C₂³	semidirect
552. Q₈×Dic₅₃	C₂³	semidirect
553. Q₈×Dic₅₃	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. C₄×Dic₁₀₆	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
569. #13133182	C₂³	semidirect
579. C₄×D₂₁₂	C₂³	semidirect
580. C₄×D₂₁₂	C₂³	semidirect
581. C₄×D₂₁₂	C₂³	semidirect
591. D₄×Dic₅₃	C₂³	semidirect
592. D₄×Dic₅₃	C₂³	semidirect
593. D₄×Dic₅₃	C₂³	semidirect
603. #13133179	C₂³	semidirect
604. #13133179	C₂³	semidirect
605. #13133179	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
637. #13133177	C₂³	semidirect
638. #13133177	C₂³	semidirect
639. #13133177	C₂³	semidirect
640. #13133177	C₂³	semidirect
641. #13133177	C₂³	semidirect
643. #13133176	C₂³	semidirect
644. #13133176	C₂³	semidirect
645. #13133176	C₂³	semidirect
648. #13133175	C₂³	semidirect
649. #13133175	C₂³	semidirect
650. #13133175	C₂³	semidirect
651. #13133175	C₂³	semidirect
652. #13133175	C₂³	semidirect
653. #13133175	C₂³	semidirect
655. #13133174	C₂³	semidirect
656. #13133174	C₂³	semidirect
657. #13133174	C₂³	semidirect
658. #13133174	C₂³	semidirect
659. #13133174	C₂³	semidirect
661. #13133173	C₂³	semidirect
662. #13133173	C₂³	semidirect
663. #13133173	C₂³	semidirect
664. #13133173	C₂³	semidirect
665. #13133173	C₂³	semidirect
667. C₂×C₄⋊Dic₅₃	C₂³	semidirect
668. C₂×C₄⋊Dic₅₃	C₂³	semidirect
669. C₂×C₄⋊Dic₅₃	C₂³	semidirect
671. C₂×#11719919	C₂³	semidirect
672. C₂×#11719919	C₂³	semidirect
673. C₂×#11719919	C₂³	semidirect
674. C₂×#11719919	C₂³	semidirect
697. C₄⋊C₄×D₅₃	C₂³	semidirect
698. C₄⋊C₄×D₅₃	C₂³	semidirect
699. C₄⋊C₄×D₅₃	C₂³	semidirect
700. C₄⋊C₄×D₅₃	C₂³	semidirect
701. C₄⋊C₄×D₅₃	C₂³	semidirect
702. C₄⋊C₄×D₅₃	C₂³	semidirect
703. C₄⋊C₄×D₅₃	C₂³	semidirect
704. C₄⋊C₄×D₅₃	C₂³	semidirect
705. C₄⋊C₄×D₅₃	C₂³	semidirect
706. C₄⋊C₄×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
757. 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
762. #125×C₅₃	C₂³	semidirect
763. #125×C₅₃	C₂³	semidirect
765. #124×C₅₃	C₂³	semidirect
766. #124×C₅₃	C₂³	semidirect
769. #123×C₅₃	C₂³	semidirect
770. #123×C₅₃	C₂³	semidirect
771. #123×C₅₃	C₂³	semidirect
776. C₂²⋊Q₈×C₅₃	C₂³	semidirect
777. C₂²⋊Q₈×C₅₃	C₂³	semidirect
778. C₂²⋊Q₈×C₅₃	C₂³	semidirect
779. C₂²⋊Q₈×C₅₃	C₂³	semidirect
780. C₂²⋊Q₈×C₅₃	C₂³	semidirect
781. C₂²⋊Q₈×C₅₃	C₂³	semidirect
782. C₂²⋊Q₈×C₅₃	C₂³	semidirect
786. #121×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
801. C₄×D₄×C₅₃	C₂³	semidirect
802. C₄×D₄×C₅₃	C₂³	semidirect
803. C₄×D₄×C₅₃	C₂³	semidirect
805. #117×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
807. #117×C₅₃	C₂³	semidirect
809. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
810. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
811. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
901. D₄×D₅₃	#41	semidirect
1180. D₄×C₅₃	C₂×#41	semidirect
1216. C₂²⋊D₅₃	C₂×#41	semidirect
1248. D₂₁₂	C₂×#41	semidirect
1375. #3520	D₅₃	direct (N × H)
1404. D₅₃	#3520	direct (N × H)
1418. #556	C₂×D₅₃	semidirect
1430. #554	C₂×D₅₃	semidirect
1442. #552	C₂×D₅₃	semidirect
1458. #551	C₂×D₅₃	semidirect
1467. D₄×Q₈	C₂×D₅₃	semidirect
1479. #548	C₂×D₅₃	semidirect
1496. #547	C₂×D₅₃	semidirect
1497. #547	C₂×D₅₃	semidirect
1509. #546	C₂×D₅₃	semidirect
1521. #542	C₂×D₅₃	semidirect
1537. #539	C₂×D₅₃	semidirect
1547. #533	C₂×D₅₃	semidirect
1562. #529	C₂×D₅₃	semidirect
1583. #525	C₂×D₅₃	semidirect
1611. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1628. #520	C₂×D₅₃	semidirect
1656. C₂×C₄×D₄	C₂×D₅₃	semidirect
1668. C₅₃	C₂×#3520	semidirect
1683. C₂×#41	C₂²×D₅₃	semidirect
1694. C₂²×Q₈	C₂²×D₅₃	semidirect
1743. C₄⋊Q₈	C₂²×D₅₃	semidirect
1744. C₄⋊Q₈	C₂²×D₅₃	semidirect
1745. C₄⋊Q₈	C₂²×D₅₃	semidirect
1767. #126	C₂²×D₅₃	semidirect
1768. #126	C₂²×D₅₃	semidirect
1769. #126	C₂²×D₅₃	semidirect
1787. #125	C₂²×D₅₃	semidirect
1788. #125	C₂²×D₅₃	semidirect
1789. #125	C₂²×D₅₃	semidirect
1808. #124	C₂²×D₅₃	semidirect
1809. #124	C₂²×D₅₃	semidirect
1847. #123	C₂²×D₅₃	semidirect
1848. #123	C₂²×D₅₃	semidirect
1849. #123	C₂²×D₅₃	semidirect
1917. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1918. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1919. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1920. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1921. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1922. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1923. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1949. #121	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
2063. C₄×D₄	C₂²×D₅₃	semidirect
2064. C₄×D₄	C₂²×D₅₃	semidirect
2065. C₄×D₄	C₂²×D₅₃	semidirect
2091. #117	C₂²×D₅₃	semidirect
2092. #117	C₂²×D₅₃	semidirect
2093. #117	C₂²×D₅₃	semidirect
2136. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2137. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2138. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2577. 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
#20288767	2
#20288766	2
#20288765	2
#20288764	2
#20288763	2
#20288762	2
#20288761	2
#20288760	2
#20288759	2
#20288758	2
#20288757	2
#20288756	2
#20288755	2
#20288754	2
#20288753	2
#20288752	2
#20288751	2
#556×D₅₃	2
#554×D₅₃	2
#552×D₅₃	2
#551×D₅₃	2
D₄×Q₈×D₅₃	2
#548×D₅₃	2
#547×D₅₃	2
#546×D₅₃	2
#542×D₅₃	2
#539×D₅₃	2
#533×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₂×C₂²⋊Q₈×D₅₃	2
#520×D₅₃	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3520	2
C₂×#3520	53

Subgroups — D53×#3520 #28292091

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3520 #28292091