Subgroups — D₅₃×#3495 #28292508

Order 13568.

7206 conjugacy classes of subgroups.

The subgroup lattice has 2680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288470	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288469	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288468	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288467	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288466	C₂	1	2	yes	maximal, complemented
6	#20288465	C₂	1	2	yes	maximal, complemented
7	#20288464	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288463	C₂	1	2	yes	maximal, complemented
9	#20288462	C₂	1	2	yes	maximal, complemented
10	#20288461	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288460	C₂	1	2	yes	maximal, complemented
12	#20288459	C₂	1	2	yes	maximal, complemented
13	#20288458	C₂	1	4	yes	maximal, complemented
14	#20288457	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288456	C₂	1	2	yes	maximal, complemented
16	#20288455	C₂	1	2	yes	maximal, complemented
17	#20288454	C₂	1	4	yes	maximal, complemented
18	#556×D₅₃	C₂	1	2	yes	maximal, complemented
19	#554×D₅₃	C₂	1	2	yes	maximal, complemented
20	#552×D₅₃	C₂	1	2	yes	maximal, complemented
21	#552×D₅₃	C₂	1	4	yes	maximal, complemented
22	#552×D₅₃	C₂	1	2	yes	maximal, complemented
23	#551×D₅₃	C₂	1	4	yes	maximal, complemented
24	#544×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#542×D₅₃	C₂	1	2	yes	maximal, complemented
26	#541×D₅₃	C₂	1	2	yes	maximal, complemented
27	#536×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#533×D₅₃	C₂	1	2	yes	maximal, complemented
29	#529×D₅₃	C₂	1	2	yes	maximal, complemented
30	#525×D₅₃	C₂	1	1	yes	maximal, characteristic
31	C₂×C₂²⋊Q₈×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#520×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
33	#519×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
34	C₂×#117×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
37	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
39	#16811347	C₂²	1	2	yes	complemented
40	#16811346	C₂²	1	2	yes	complemented
41	#16811345	C₂²	1	4	yes	complemented
42	#16811344	C₂²	1	2	yes	complemented
43	#16811344	C₂²	1	2	yes	complemented
44	#16811343	C₂²	1	2	yes	complemented
45	#16811342	C₂²	1	4	yes	complemented
46	#16811341	C₂²	1	2	yes	complemented
47	#16811341	C₂²	1	2	yes	complemented
48	#16811340	C₂²	1	4	yes	complemented
49	#16811340	C₂²	1	4	yes	complemented
50	#16811334	C₂²	1	2	yes	complemented
51	#16811333	C₂²	1	2	yes	complemented
52	#16811332	C₂²	1	4	yes	complemented
53	#16811331	C₂²	1	2	yes	complemented
54	#16811331	C₂²	1	2	yes	complemented
55	#16811330	C₂²	1	2	yes	complemented
56	#16811329	C₂²	1	4	yes	complemented
57	#16811328	C₂²	1	2	yes	complemented
58	#16811328	C₂²	1	2	yes	complemented
59	#16811327	C₂²	1	4	yes	complemented
60	#16811327	C₂²	1	4	yes	complemented
61	#16811315	C₂²	1	4	yes	complemented
62	#16811315	C₂²	1	2	yes	complemented
63	#16811315	C₂²	1	2	yes	complemented
64	#16811314	C₂²	1	2	yes	complemented
65	#16811314	C₂²	1	4	yes	complemented
66	#16811314	C₂²	1	2	yes	complemented
67	#16811313	C₂²	1	4	yes	complemented
68	#16811313	C₂²	1	2	yes	complemented
69	#16811313	C₂²	1	2	yes	complemented
70	#16811312	C₂²	1	2	yes	complemented
71	#16811312	C₂²	1	4	yes	complemented
72	#16811312	C₂²	1	2	yes	complemented
73	#16811311	C₂²	1	4	yes	complemented
74	#16811311	C₂²	1	2	yes	complemented
75	#16811311	C₂²	1	2	yes	complemented
76	#16811310	C₂²	1	4	yes	complemented
77	#16811310	C₂²	1	4	yes	complemented
78	#16811310	C₂²	1	4	yes	complemented
79	#16811310	C₂²	1	4	yes	complemented
80	#16811309	C₂²	1	4	yes	complemented
81	#16811309	C₂²	1	4	yes	complemented
82	#16811309	C₂²	1	4	yes	complemented
83	#16811309	C₂²	1	4	yes	complemented
84	#16811308	C₂²	1	2	yes	complemented
85	#16811308	C₂²	1	4	yes	complemented
86	#16811308	C₂²	1	2	yes	complemented
87	#16811307	C₂²	1	2	yes	complemented
88	#16811307	C₂²	1	4	yes	complemented
89	#16811307	C₂²	1	2	yes	complemented
90	#16811306	C₂²	1	4	yes	complemented
91	#16811306	C₂²	1	4	yes	complemented
92	#16811306	C₂²	1	4	yes	complemented
93	#16811306	C₂²	1	4	yes	complemented
94	#16811305	C₂²	1	4	yes	complemented
95	#16811305	C₂²	1	4	yes	complemented
96	#16811305	C₂²	1	4	yes	complemented
97	#16811305	C₂²	1	4	yes	complemented
98	#16811304	C₂²	1	4	yes	complemented
99	#16811303	C₂²	1	4	yes	complemented
100	#16811302	C₂²	1	4	yes	complemented
101	#16811302	C₂²	1	4	yes	complemented
102	#16811301	C₂²	1	4	yes	complemented
103	#16811300	C₂²	1	4	yes	complemented
104	#16811300	C₂²	1	4	yes	complemented
105	#16811299	C₂²	1	4	yes	complemented
106	#16811299	C₂²	1	4	yes	complemented
107	#16811298	C₂²	1	4	yes	complemented
108	#16811298	C₂²	1	4	yes	complemented
109	#16811297	C₂²	1	4	yes	complemented
110	#16811297	C₂²	1	4	yes	complemented
111	#16811296	C₂²	1	4	yes	complemented
112	#16811296	C₂²	1	4	yes	complemented
113	#16811254	C₂²	1	1	yes	characteristic, complemented
114	#16811253	C₂²	1	2	yes	complemented
115	#16811253	C₂²	1	2	yes	complemented
116	#16811252	C₂²	1	4	yes	complemented
117	#16811251	C₂²	1	1	yes	characteristic, complemented
118	#16811251	C₂²	1	1	yes	characteristic, complemented
119	#16811250	C₂²	1	2	yes	complemented
120	#16811250	C₂²	1	2	yes	complemented
121	#16811247	C₂²	1	2	yes	complemented
122	#16811246	C₂²	1	2	yes	complemented
123	#16811245	C₂²	1	2	yes	complemented
124	#16811244	C₂²	1	2	yes	complemented
125	#16811243	C₂²	1	4	yes	complemented
126	#16811242	C₂²	1	2	yes	complemented
127	#16811241	C₂²	1	4	yes	complemented
128	#16811240	C₂²	1	2	yes	complemented
129	#16811239	C₂²	1	4	yes	complemented
130	#16811238	C₂²	1	2	yes	complemented
131	#16811237	C₂²	1	4	yes	complemented
132	#16811236	C₂²	1	2	yes	complemented
133	#16811235	C₂²	1	2	yes	complemented
134	#16811234	C₂²	1	2	yes	complemented
135	#16811233	C₂²	1	2	yes	complemented
136	#16811233	C₂²	1	2	yes	complemented
137	#16811232	C₂²	1	4	yes	complemented
138	#16811232	C₂²	1	4	yes	complemented
139	#16811231	C₂²	1	2	yes	complemented
140	#16811231	C₂²	1	2	yes	complemented
141	#16811230	C₂²	1	4	yes	complemented
142	#16811230	C₂²	1	4	yes	complemented
143	#16811199	C₂²	1	1	yes	characteristic, complemented
144	#16811198	C₂²	1	2	yes	complemented
145	#16811197	C₂²	1	1	yes	characteristic, complemented
146	#16811196	C₂²	1	2	yes	complemented
147	#16811196	C₂²	1	2	yes	complemented
148	#16811195	C₂²	1	4	yes	complemented
149	#16811194	C₂²	1	1	yes	characteristic, complemented
150	#16811193	C₂²	1	2	yes	complemented
151	#16811180	C₂²	1	2	yes	complemented
152	#16811179	C₂²	1	4	yes	complemented
153	#16811178	C₂²	1	2	yes	complemented
154	#16811178	C₂²	1	2	yes	complemented
155	#16811177	C₂²	1	2	yes	complemented
156	#16811177	C₂²	1	4	yes	complemented
157	#16811177	C₂²	1	2	yes	complemented
158	#16811176	C₂²	1	4	yes	complemented
159	#16811175	C₂²	1	4	yes	complemented
160	#16811175	C₂²	1	2	yes	complemented
161	#16811175	C₂²	1	2	yes	complemented
162	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
163	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
164	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
165	#16811160	C₂²	1	2	yes	complemented
166	#16811159	C₂²	1	2	yes	complemented
167	#16811158	C₂²	1	2	yes	complemented
168	#16811157	C₂²	1	2	yes	complemented
169	#16811156	C₂²	1	4	yes	complemented
170	#16811155	C₂²	1	2	yes	complemented
171	#16811154	C₂²	1	2	yes	complemented
172	#16811153	C₂²	1	4	yes	complemented
173	#16811152	C₂²	1	2	yes	complemented
174	#16811151	C₂²	1	4	yes	complemented
175	#16811150	C₂²	1	4	yes	complemented
176	#126×D₅₃	C₂²	1	4	yes	—
177	#126×D₅₃	C₂²	1	4	yes	—
178	#126×D₅₃	C₂²	1	4	yes	complemented
179	#126×D₅₃	C₂²	1	4	yes	complemented
180	#125×D₅₃	C₂²	1	4	yes	complemented
181	#125×D₅₃	C₂²	1	2	yes	complemented
182	#125×D₅₃	C₂²	1	4	yes	complemented
183	#125×D₅₃	C₂²	1	4	yes	complemented
184	#125×D₅₃	C₂²	1	2	yes	complemented
185	#124×D₅₃	C₂²	1	4	yes	—
186	#124×D₅₃	C₂²	1	2	yes	complemented
187	#16811136	C₂²	1	1	yes	characteristic
188	#16811136	C₂²	1	1	yes	characteristic
189	#16811135	C₂²	1	1	yes	characteristic
190	#16811134	C₂²	1	1	yes	characteristic
191	#16811133	C₂²	1	1	yes	characteristic
192	#16811133	C₂²	1	1	yes	characteristic
193	#16811132	C₂²	1	2	yes	—
194	#16811132	C₂²	1	2	yes	—
195	#16811131	C₂²	1	2	yes	—
196	#16811130	C₂²	1	1	yes	characteristic
197	#16811129	C₂²	1	2	yes	—
198	#123×D₅₃	C₂²	1	4	yes	—
199	#123×D₅₃	C₂²	1	4	yes	—
200	#123×D₅₃	C₂²	1	2	yes	—
201	#123×D₅₃	C₂²	1	4	yes	—
202	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
203	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
204	C₂×#13133195	C₂²	1	2	yes	complemented
205	C₂×#13133194	C₂²	1	2	yes	complemented
206	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
207	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
208	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
209	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
210	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
211	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
212	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
213	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
214	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
215	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
216	C₂²⋊Q₈×D₅₃	C₂²	1	2	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	2	yes	complemented
220	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
221	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
222	#121×D₅₃	C₂²	1	1	yes	characteristic
223	#121×D₅₃	C₂²	1	1	yes	characteristic
224	#120×D₅₃	C₂²	1	2	yes	—
225	#16811106	C₂²	1	1	yes	characteristic, complemented
226	#16811105	C₂²	1	2	yes	complemented
227	#16811104	C₂²	1	1	yes	characteristic, complemented
228	#16811104	C₂²	1	2	yes	complemented
229	#16811103	C₂²	1	1	yes	characteristic, complemented
230	#16811103	C₂²	1	2	yes	complemented
231	#16811102	C₂²	1	4	yes	complemented
232	#16811102	C₂²	1	2	yes	complemented
233	#16811101	C₂²	1	1	yes	characteristic, complemented
234	#16811100	C₂²	1	4	yes	complemented
235	#16811100	C₂²	1	1	yes	characteristic, complemented
236	#16811100	C₂²	1	1	yes	characteristic, complemented
237	#16811099	C₂²	1	2	yes	complemented
238	#16811099	C₂²	1	2	yes	complemented
239	#16811099	C₂²	1	2	yes	complemented
240	#16811099	C₂²	1	2	yes	complemented
241	C₄×Q₈×D₅₃	C₂²	1	4	yes	complemented
242	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
243	C₄×Q₈×D₅₃	C₂²	1	2	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×D₄×D₅₃	C₂²	1	2	yes	—
248	C₄×D₄×D₅₃	C₂²	1	4	yes	—
249	C₄×D₄×D₅₃	C₂²	1	2	yes	—
250	C₄×D₄×D₅₃	C₂²	1	4	yes	—
251	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
252	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
253	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
254	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
255	C₂×#13133174	C₂²	1	2	yes	complemented
256	C₂×#13133173	C₂²	1	2	yes	complemented
257	#117×D₅₃	C₂²	1	4	yes	—
258	#117×D₅₃	C₂²	1	1	yes	characteristic
259	#117×D₅₃	C₂²	1	1	yes	characteristic
260	#117×D₅₃	C₂²	1	2	yes	—
261	#117×D₅₃	C₂²	1	1	yes	characteristic
262	#117×D₅₃	C₂²	1	1	yes	characteristic
263	#117×D₅₃	C₂²	1	2	yes	—
264	#117×D₅₃	C₂²	1	1	yes	characteristic
265	#117×D₅₃	C₂²	1	4	yes	—
266	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
267	#117×D₅₃	C₂²	1	2	yes	complemented
268	#117×D₅₃	C₂²	1	2	yes	complemented
269	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
270	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
271	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
272	#117×D₅₃	C₂²	1	2	yes	complemented
273	#117×D₅₃	C₂²	1	4	yes	complemented
274	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
275	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
276	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
277	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	—
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	2	yes	—
281	C₂×C₄²×D₅₃	C₂²	1	2	yes	—
282	C₅₃×#556	C₂²	1	2	yes	complemented
283	C₅₃×#554	C₂²	1	2	yes	complemented
284	C₅₃×#552	C₂²	1	2	yes	complemented
285	C₅₃×#552	C₂²	1	4	yes	complemented
286	C₅₃×#552	C₂²	1	2	yes	complemented
287	C₅₃×#551	C₂²	1	4	yes	complemented
288	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
289	C₅₃×#542	C₂²	1	2	yes	complemented
290	C₅₃×#541	C₂²	1	2	yes	complemented
291	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
292	C₅₃×#533	C₂²	1	2	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	1	yes	characteristic
295	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#519	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
300	C₂×#11719949	C₂³	1	1	yes	characteristic
301	C₂×#11719945	C₂³	1	2	yes	—
302	C₂×#11719945	C₂³	1	1	yes	characteristic
303	C₂×#11719947	C₂³	1	2	yes	—
304	C₂×#11719947	C₂³	1	1	yes	characteristic
305	#41×D₅₃	—	2	8	no	—
306	C₂²×Dic₁₀₆	C₂³	1	2	yes	—
307	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
308	C₂×Q₈×D₅₃	—	2	8	no	—
309	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
310	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
311	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
312	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
313	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
314	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
315	C₂×D₄×D₅₃	C₂³	1	2	yes	—
316	C₂×D₄×D₅₃	C₂³	1	2	yes	—
317	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
318	C₂×D₄×D₅₃	C₂³	1	2	yes	—
319	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
320	C₂²×C₄×D₅₃	—	2	8	no	—
321	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
322	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
323	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
324	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
325	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
326	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
327	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
329	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
330	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
336	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
337	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
338	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
339	#13133217	C₂³	1	2	yes	complemented
340	#13133217	C₂³	1	2	yes	complemented
341	#13133217	C₂³	1	2	yes	complemented
342	#13133216	C₂³	1	2	yes	complemented
343	#13133216	C₂³	1	2	yes	complemented
344	#13133216	C₂³	1	4	yes	complemented
345	#13133216	C₂³	1	4	yes	complemented
346	#13133216	C₂³	1	2	yes	complemented
347	#13133216	C₂³	1	2	yes	complemented
348	#13133216	C₂³	1	4	yes	complemented
349	#13133216	C₂³	1	4	yes	complemented
350	#13133215	C₂³	1	4	yes	complemented
351	#13133215	C₂³	1	2	yes	complemented
352	#13133215	C₂³	1	2	yes	complemented
353	#13133215	C₂³	1	4	yes	complemented
354	#13133212	C₂³	1	4	yes	—
355	#13133212	C₂³	1	4	yes	—
356	#13133212	C₂³	1	4	yes	—
357	#13133212	C₂³	1	4	yes	—
358	#13133212	C₂³	1	4	yes	—
359	#13133212	C₂³	1	4	yes	—
360	#13133212	C₂³	1	4	yes	complemented
361	#13133212	C₂³	1	4	yes	complemented
362	#13133212	C₂³	1	4	yes	complemented
363	#13133212	C₂³	1	4	yes	complemented
364	#13133212	C₂³	1	4	yes	complemented
365	#13133212	C₂³	1	4	yes	complemented
366	#13133211	C₂³	1	4	yes	—
367	#13133211	C₂³	1	4	yes	—
368	#13133211	C₂³	1	4	yes	complemented
369	#13133211	C₂³	1	4	yes	complemented
370	#13133210	C₂³	1	4	yes	—
371	#13133210	C₂³	1	4	yes	—
372	#13133210	C₂³	1	4	yes	—
373	#13133210	C₂³	1	4	yes	—
374	#13133210	C₂³	1	4	yes	—
375	#13133210	C₂³	1	4	yes	—
376	#13133210	C₂³	1	4	yes	complemented
377	#13133210	C₂³	1	4	yes	complemented
378	#13133210	C₂³	1	4	yes	complemented
379	#13133210	C₂³	1	4	yes	complemented
380	#13133210	C₂³	1	4	yes	complemented
381	#13133210	C₂³	1	4	yes	complemented
382	#13133209	C₂³	1	4	yes	complemented
383	#13133209	C₂³	1	4	yes	complemented
384	#13133209	C₂³	1	4	yes	complemented
385	#13133209	C₂³	1	2	yes	complemented
386	#13133209	C₂³	1	2	yes	complemented
387	#13133208	C₂³	1	4	yes	complemented
388	#13133208	C₂³	1	2	yes	complemented
389	#13133208	C₂³	1	2	yes	complemented
390	#13133208	C₂³	1	4	yes	complemented
391	#13133208	C₂³	1	4	yes	complemented
392	#13133208	C₂³	1	4	yes	complemented
393	#13133208	C₂³	1	4	yes	complemented
394	#13133208	C₂³	1	4	yes	complemented
395	#13133208	C₂³	1	2	yes	complemented
396	#13133208	C₂³	1	2	yes	complemented
397	#13133207	C₂³	1	4	yes	complemented
398	#13133207	C₂³	1	4	yes	complemented
399	#13133207	C₂³	1	4	yes	complemented
400	#13133207	C₂³	1	4	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	#13133207	C₂³	1	4	yes	complemented
407	#13133207	C₂³	1	4	yes	complemented
408	#13133207	C₂³	1	4	yes	complemented
409	#13133207	C₂³	1	4	yes	complemented
410	#13133207	C₂³	1	4	yes	complemented
411	#13133207	C₂³	1	4	yes	complemented
412	#13133207	C₂³	1	4	yes	complemented
413	#13133206	C₂³	1	4	yes	—
414	#13133206	C₂³	1	2	yes	complemented
415	#13133205	C₂³	1	4	yes	—
416	#13133205	C₂³	1	2	yes	complemented
417	#13133204	C₂³	1	4	yes	—
418	#13133204	C₂³	1	2	yes	complemented
419	#13133203	C₂³	1	4	yes	—
420	#13133203	C₂³	1	4	yes	—
421	#13133203	C₂³	1	4	yes	—
422	#13133203	C₂³	1	4	yes	—
423	#13133203	C₂³	1	4	yes	complemented
424	#13133203	C₂³	1	4	yes	complemented
425	#13133202	C₂³	1	4	yes	—
426	#13133202	C₂³	1	4	yes	—
427	#13133202	C₂³	1	4	yes	—
428	#13133202	C₂³	1	4	yes	—
429	#13133202	C₂³	1	4	yes	—
430	#13133202	C₂³	1	4	yes	—
431	#13133202	C₂³	1	2	yes	—
432	#13133202	C₂³	1	2	yes	—
433	#13133201	C₂³	1	4	yes	—
434	#13133201	C₂³	1	4	yes	—
435	#13133201	C₂³	1	4	yes	—
436	#13133201	C₂³	1	2	yes	—
437	#13133200	C₂³	1	4	yes	—
438	#13133200	C₂³	1	4	yes	—
439	#13133200	C₂³	1	4	yes	—
440	#13133200	C₂³	1	2	yes	—
441	#13133199	C₂³	1	4	yes	—
442	#13133199	C₂³	1	4	yes	—
443	#13133199	C₂³	1	4	yes	—
444	#13133199	C₂³	1	4	yes	—
445	#13133199	C₂³	1	4	yes	—
446	#13133199	C₂³	1	4	yes	—
447	#13133199	C₂³	1	2	yes	—
448	#13133199	C₂³	1	2	yes	—
449	#13133198	C₂³	1	4	yes	—
450	#13133198	C₂³	1	4	yes	—
451	#13133198	C₂³	1	4	yes	—
452	#13133198	C₂³	1	2	yes	—
453	#13133197	C₂³	1	4	yes	—
454	#13133197	C₂³	1	4	yes	—
455	#13133197	C₂³	1	2	yes	—
456	#13133197	C₂³	1	2	yes	—
457	#13133197	C₂³	1	2	yes	—
458	#13133197	C₂³	1	2	yes	—
459	#13133197	C₂³	1	1	yes	characteristic
460	#13133197	C₂³	1	1	yes	characteristic
461	#13133197	C₂³	1	2	yes	complemented
462	#13133197	C₂³	1	4	yes	complemented
463	#13133197	C₂³	1	2	yes	complemented
464	#13133196	C₂³	1	4	yes	—
465	#13133196	C₂³	1	4	yes	—
466	#13133196	C₂³	1	2	yes	—
467	#13133196	C₂³	1	2	yes	—
468	#13133196	C₂³	1	2	yes	—
469	#13133196	C₂³	1	2	yes	—
470	#13133196	C₂³	1	1	yes	characteristic
471	#13133196	C₂³	1	1	yes	characteristic
472	#13133196	C₂³	1	2	yes	complemented
473	#13133196	C₂³	1	4	yes	complemented
474	#13133196	C₂³	1	2	yes	complemented
475	#13133195	C₂³	1	4	yes	—
476	#13133195	C₂³	1	4	yes	—
477	#13133195	C₂³	1	4	yes	—
478	#13133195	C₂³	1	4	yes	—
479	#13133195	C₂³	1	4	yes	—
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	2	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	#13133194	C₂³	1	4	yes	—
490	#13133194	C₂³	1	4	yes	—
491	#13133194	C₂³	1	4	yes	—
492	#13133194	C₂³	1	4	yes	—
493	#13133194	C₂³	1	4	yes	—
494	#13133194	C₂³	1	4	yes	—
495	#13133194	C₂³	1	4	yes	—
496	#13133194	C₂³	1	4	yes	—
497	#13133194	C₂³	1	2	yes	—
498	#13133194	C₂³	1	2	yes	—
499	#13133194	C₂³	1	4	yes	complemented
500	#13133194	C₂³	1	4	yes	complemented
501	#13133194	C₂³	1	4	yes	complemented
502	#13133194	C₂³	1	4	yes	complemented
503	#13133193	C₂³	1	4	yes	—
504	#13133193	C₂³	1	4	yes	—
505	#13133193	C₂³	1	2	yes	—
506	#13133193	C₂³	1	2	yes	—
507	#13133193	C₂³	1	2	yes	—
508	#13133193	C₂³	1	2	yes	—
509	#13133193	C₂³	1	1	yes	characteristic
510	#13133193	C₂³	1	1	yes	characteristic
511	#13133193	C₂³	1	2	yes	complemented
512	#13133193	C₂³	1	4	yes	complemented
513	#13133193	C₂³	1	2	yes	complemented
514	#13133192	C₂³	1	1	yes	characteristic
515	#13133192	C₂³	1	1	yes	characteristic
516	#13133191	C₂³	1	1	yes	characteristic
517	#13133191	C₂³	1	1	yes	characteristic
518	#13133190	C₂³	1	2	yes	—
519	#13133190	C₂³	1	2	yes	—
520	#13133189	C₂³	1	2	yes	—
521	#13133189	C₂³	1	2	yes	—
522	#13133188	C₂³	1	1	yes	characteristic
523	#13133188	C₂³	1	1	yes	characteristic
524	#13133187	C₂³	1	2	yes	—
525	#13133187	C₂³	1	2	yes	—
526	#13133187	C₂³	1	2	yes	—
527	#13133186	C₂³	1	2	yes	—
528	#13133185	C₂³	1	2	yes	—
529	#13133185	C₂³	1	2	yes	—
530	#13133185	C₂³	1	2	yes	—
531	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
532	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
533	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
534	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
535	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
536	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
537	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
538	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
539	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
540	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
541	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
542	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
543	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
544	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
545	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
546	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
547	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
548	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
549	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
550	#13133182	C₂³	1	4	yes	complemented
551	#13133182	C₂³	1	4	yes	complemented
552	#13133182	C₂³	1	4	yes	complemented
553	#13133182	C₂³	1	4	yes	complemented
554	#13133182	C₂³	1	2	yes	complemented
555	#13133182	C₂³	1	4	yes	complemented
556	#13133182	C₂³	1	2	yes	complemented
557	#13133182	C₂³	1	4	yes	complemented
558	#13133182	C₂³	1	2	yes	complemented
559	#13133182	C₂³	1	2	yes	complemented
560	#13133182	C₂³	1	4	yes	complemented
561	#13133182	C₂³	1	2	yes	complemented
562	#13133182	C₂³	1	4	yes	complemented
563	C₄×D₂₁₂	C₂³	1	4	yes	—
564	C₄×D₂₁₂	C₂³	1	4	yes	—
565	C₄×D₂₁₂	C₂³	1	2	yes	—
566	C₄×D₂₁₂	C₂³	1	2	yes	—
567	C₄×D₂₁₂	C₂³	1	2	yes	complemented
568	D₄×Dic₅₃	C₂³	1	4	yes	—
569	D₄×Dic₅₃	C₂³	1	4	yes	—
570	D₄×Dic₅₃	C₂³	1	2	yes	—
571	D₄×Dic₅₃	C₂³	1	2	yes	—
572	D₄×Dic₅₃	C₂³	1	2	yes	complemented
573	#13133179	C₂³	1	4	yes	—
574	#13133179	C₂³	1	4	yes	—
575	#13133179	C₂³	1	2	yes	—
576	#13133179	C₂³	1	2	yes	—
577	#13133179	C₂³	1	2	yes	complemented
578	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
579	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
580	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
581	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
582	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
583	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
584	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
585	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
586	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
587	#13133177	C₂³	1	4	yes	—
588	#13133177	C₂³	1	4	yes	—
589	#13133177	C₂³	1	4	yes	—
590	#13133177	C₂³	1	4	yes	—
591	#13133177	C₂³	1	2	yes	—
592	#13133177	C₂³	1	2	yes	—
593	#13133177	C₂³	1	2	yes	—
594	#13133177	C₂³	1	2	yes	—
595	#13133177	C₂³	1	4	yes	complemented
596	#13133176	C₂³	1	4	yes	—
597	#13133176	C₂³	1	4	yes	—
598	#13133176	C₂³	1	1	yes	characteristic
599	#13133176	C₂³	1	2	yes	—
600	#13133176	C₂³	1	1	yes	characteristic
601	#13133176	C₂³	1	1	yes	characteristic
602	#13133176	C₂³	1	1	yes	characteristic
603	#13133176	C₂³	1	2	yes	—
604	#13133176	C₂³	1	1	yes	characteristic
605	#13133176	C₂³	1	4	yes	complemented
606	#13133176	C₂³	1	2	yes	complemented
607	#13133175	C₂³	1	4	yes	—
608	#13133175	C₂³	1	4	yes	—
609	#13133175	C₂³	1	4	yes	—
610	#13133175	C₂³	1	4	yes	—
611	#13133175	C₂³	1	2	yes	—
612	#13133175	C₂³	1	1	yes	characteristic
613	#13133175	C₂³	1	2	yes	—
614	#13133175	C₂³	1	1	yes	characteristic
615	#13133175	C₂³	1	1	yes	characteristic
616	#13133175	C₂³	1	1	yes	characteristic
617	#13133175	C₂³	1	1	yes	characteristic
618	#13133175	C₂³	1	1	yes	characteristic
619	#13133175	C₂³	1	1	yes	characteristic
620	#13133175	C₂³	1	1	yes	characteristic
621	#13133175	C₂³	1	2	yes	—
622	#13133175	C₂³	1	2	yes	—
623	#13133175	C₂³	1	1	yes	characteristic
624	#13133175	C₂³	1	1	yes	characteristic
625	#13133175	C₂³	1	4	yes	complemented
626	#13133175	C₂³	1	2	yes	complemented
627	#13133175	C₂³	1	4	yes	complemented
628	#13133175	C₂³	1	2	yes	complemented
629	#13133174	C₂³	1	4	yes	—
630	#13133174	C₂³	1	4	yes	—
631	#13133174	C₂³	1	4	yes	—
632	#13133174	C₂³	1	4	yes	—
633	#13133174	C₂³	1	2	yes	—
634	#13133174	C₂³	1	2	yes	—
635	#13133174	C₂³	1	2	yes	—
636	#13133174	C₂³	1	2	yes	—
637	#13133174	C₂³	1	2	yes	—
638	#13133174	C₂³	1	2	yes	—
639	#13133174	C₂³	1	2	yes	—
640	#13133174	C₂³	1	2	yes	—
641	#13133174	C₂³	1	2	yes	—
642	#13133174	C₂³	1	4	yes	complemented
643	#13133174	C₂³	1	4	yes	complemented
644	#13133174	C₂³	1	4	yes	complemented
645	#13133173	C₂³	1	4	yes	—
646	#13133173	C₂³	1	4	yes	—
647	#13133173	C₂³	1	4	yes	—
648	#13133173	C₂³	1	4	yes	—
649	#13133173	C₂³	1	2	yes	—
650	#13133173	C₂³	1	2	yes	—
651	#13133173	C₂³	1	2	yes	—
652	#13133173	C₂³	1	2	yes	—
653	#13133173	C₂³	1	2	yes	—
654	#13133173	C₂³	1	2	yes	—
655	#13133173	C₂³	1	2	yes	—
656	#13133173	C₂³	1	2	yes	—
657	#13133173	C₂³	1	2	yes	—
658	#13133173	C₂³	1	4	yes	complemented
659	#13133173	C₂³	1	4	yes	complemented
660	#13133173	C₂³	1	4	yes	complemented
661	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
662	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
663	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
664	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
665	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
666	C₂×#11719919	C₂³	1	2	yes	—
667	C₂×#11719919	C₂³	1	2	yes	—
668	C₂×#11719919	C₂³	1	2	yes	—
669	C₂×#11719919	C₂³	1	2	yes	—
670	C₂×#11719919	C₂³	1	2	yes	—
671	C₂×#11719919	C₂³	1	4	yes	complemented
672	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
673	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
674	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
675	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
676	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
677	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
678	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
679	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
680	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
681	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
682	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
683	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
684	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
685	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
686	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
687	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
688	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
689	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
690	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
691	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
692	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
693	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
694	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
695	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
696	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
697	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
698	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
699	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
700	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
701	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
702	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
703	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
704	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
705	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
706	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
707	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
708	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
709	C₂×#11719921	C₂³	1	2	yes	—
710	C₂×#11719921	C₂³	1	2	yes	—
711	C₂×#11719921	C₂³	1	2	yes	—
712	C₂×#11719921	C₂³	1	2	yes	—
713	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
714	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
715	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
716	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
717	C₂²⋊C₄×D₅₃	C₂³	1	4	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	2	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	2	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	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
734	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
735	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
736	C₄²×D₅₃	C₂³	1	2	yes	—
737	C₄²×D₅₃	C₂³	1	2	yes	—
738	C₄²×D₅₃	C₂³	1	2	yes	—
739	C₄²×D₅₃	C₂³	1	2	yes	—
740	C₄²×D₅₃	C₂³	1	2	yes	—
741	C₄²×D₅₃	C₂³	1	2	yes	—
742	C₄²×D₅₃	C₂³	1	2	yes	—
743	C₄²×D₅₃	C₂³	1	2	yes	—
744	C₄²×D₅₃	C₂³	1	4	yes	—
745	C₄²×D₅₃	C₂³	1	4	yes	—
746	C₄²×D₅₃	C₂³	1	4	yes	—
747	C₄²×D₅₃	C₂³	1	2	yes	—
748	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
749	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
750	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
751	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
752	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
753	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
754	#126×C₅₃	C₂³	1	4	yes	—
755	#126×C₅₃	C₂³	1	4	yes	—
756	#126×C₅₃	C₂³	1	4	yes	complemented
757	#126×C₅₃	C₂³	1	4	yes	complemented
758	#125×C₅₃	C₂³	1	4	yes	complemented
759	#125×C₅₃	C₂³	1	4	yes	complemented
760	#125×C₅₃	C₂³	1	4	yes	complemented
761	#125×C₅₃	C₂³	1	2	yes	complemented
762	#125×C₅₃	C₂³	1	2	yes	complemented
763	#124×C₅₃	C₂³	1	4	yes	—
764	#124×C₅₃	C₂³	1	2	yes	complemented
765	#123×C₅₃	C₂³	1	4	yes	—
766	#123×C₅₃	C₂³	1	4	yes	—
767	#123×C₅₃	C₂³	1	4	yes	—
768	#123×C₅₃	C₂³	1	2	yes	—
769	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
770	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
771	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
772	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
773	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
774	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
775	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
776	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
777	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
778	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
779	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
780	#121×C₅₃	C₂³	1	1	yes	characteristic
781	#121×C₅₃	C₂³	1	1	yes	characteristic
782	#120×C₅₃	C₂³	1	2	yes	—
783	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
784	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
785	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
786	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
787	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
788	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
789	C₄×D₄×C₅₃	C₂³	1	4	yes	—
790	C₄×D₄×C₅₃	C₂³	1	4	yes	—
791	C₄×D₄×C₅₃	C₂³	1	2	yes	—
792	C₄×D₄×C₅₃	C₂³	1	2	yes	—
793	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
794	#117×C₅₃	C₂³	1	1	yes	characteristic
795	#117×C₅₃	C₂³	1	2	yes	—
796	#117×C₅₃	C₂³	1	1	yes	characteristic
797	#117×C₅₃	C₂³	1	1	yes	characteristic
798	#117×C₅₃	C₂³	1	2	yes	—
799	#117×C₅₃	C₂³	1	1	yes	characteristic
800	#117×C₅₃	C₂³	1	4	yes	—
801	#117×C₅₃	C₂³	1	4	yes	—
802	#117×C₅₃	C₂³	1	1	yes	characteristic
803	#117×C₅₃	C₂³	1	2	yes	complemented
804	#117×C₅₃	C₂³	1	4	yes	complemented
805	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
806	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
807	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
809	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
810	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
812	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
813	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
814	C₂³×D₅₃	—	2	4	no	—
815	C₂³×D₅₃	—	2	4	no	—
816	C₂³×D₅₃	—	4	2	no	—
817	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
818	C₂³×D₅₃	C₂⁴	1	2	yes	—
819	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
820	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
821	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
822	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
823	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
824	#41×C₅₃	—	2	4	no	—
825	C₂×Q₈×C₅₃	—	2	4	no	—
826	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
827	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
828	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
829	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
830	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
831	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
833	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
834	C₂²×C₄×C₅₃	—	2	4	no	—
835	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
836	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
837	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
838	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
839	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
840	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
842	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
843	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
844	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
846	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
847	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
848	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
849	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
850	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
851	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
852	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
853	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
854	C₂²×Dic₅₃	—	2	4	no	—
855	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
856	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
857	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
858	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
859	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
860	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
861	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
862	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
863	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
864	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
865	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
866	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
867	#11719949	—	2	4	no	—
868	Q₈×D₅₃	—	2	8	no	—
869	Q₈×D₅₃	—	2	8	no	—
870	Q₈×D₅₃	—	2	8	no	—
871	Q₈×D₅₃	—	2	8	no	—
872	Q₈×D₅₃	—	2	4	no	—
873	Q₈×D₅₃	—	4	8	no	—
874	#11719947	—	2	8	no	—
875	#11719947	—	2	4	no	—
876	D₄×D₅₃	—	2	8	no	—
877	D₄×D₅₃	—	2	8	no	—
878	D₄×D₅₃	—	2	4	no	—
879	D₄×D₅₃	—	4	4	no	—
880	#11719945	—	2	4	no	—
881	#11719945	—	2	8	no	—
882	C₂×D₂₁₂	C₂⁴	1	2	yes	—
883	C₂×D₂₁₂	C₂⁴	1	2	yes	—
884	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
885	C₂×D₂₁₂	C₂⁴	1	2	yes	—
886	C₂×C₄×D₅₃	—	2	4	no	—
887	C₂×C₄×D₅₃	—	2	8	no	—
888	C₂×C₄×D₅₃	—	2	8	no	—
889	C₂×C₄×D₅₃	—	2	4	no	—
890	C₂×C₄×D₅₃	—	2	4	no	—
891	C₂×C₄×D₅₃	—	2	4	no	—
892	C₂×C₄×D₅₃	—	2	4	no	—
893	C₂×C₄×D₅₃	—	2	4	no	—
894	C₂×C₄×D₅₃	—	2	4	no	—
895	C₂×C₄×D₅₃	—	2	4	no	—
896	C₂×C₄×D₅₃	—	2	4	no	—
897	C₂×C₄×D₅₃	—	2	4	no	—
898	C₂×C₄×D₅₃	—	2	4	no	—
899	C₂×C₄×D₅₃	—	2	8	no	—
900	C₂×C₄×D₅₃	—	4	8	no	—
901	C₂×C₄×D₅₃	—	4	4	no	—
902	C₂×C₄×D₅₃	—	4	4	no	—
903	C₂×C₄×D₅₃	#41	1	8	yes	—
904	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
905	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
906	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
907	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
908	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
909	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
910	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
911	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
912	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
913	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
914	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
915	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
916	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
917	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
918	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
919	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
920	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
921	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
922	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
923	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
924	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
925	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
926	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
927	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
928	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
929	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
930	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
931	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
932	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
933	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
934	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
935	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
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×Dic₁₀₆	—	2	4	no	—
940	C₂×Dic₁₀₆	—	2	8	no	—
941	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
942	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
943	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
944	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
945	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
946	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
947	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
948	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
949	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
950	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
951	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
952	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
953	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
954	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
955	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
956	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
957	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
958	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
959	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
960	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
961	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
962	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
963	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
964	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
965	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
966	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
967	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
968	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
969	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
970	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
971	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
972	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
973	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
974	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
975	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
976	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
977	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
978	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
979	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
980	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
981	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
982	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
983	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
984	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
985	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
986	C₄²×C₅₃	C₂⁴	1	2	yes	—
987	C₄²×C₅₃	C₂⁴	1	2	yes	—
988	C₄²×C₅₃	C₂⁴	1	2	yes	—
989	C₄²×C₅₃	C₂⁴	1	2	yes	—
990	C₄²×C₅₃	C₂⁴	1	4	yes	—
991	C₄²×C₅₃	C₂⁴	1	4	yes	—
992	C₄²×C₅₃	C₂⁴	1	4	yes	—
993	C₄²×C₅₃	C₂⁴	1	2	yes	—
994	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
995	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
996	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
997	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
998	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
999	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1000	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1001	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1002	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1003	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1004	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1005	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1006	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1007	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1008	#11719921	C₂⁴	1	2	yes	—
1009	#11719921	C₂⁴	1	2	yes	—
1010	#11719921	C₂⁴	1	2	yes	—
1011	#11719921	C₂⁴	1	2	yes	—
1012	#11719921	C₂⁴	1	2	yes	—
1013	#11719921	C₂⁴	1	2	yes	—
1014	#11719921	C₂⁴	1	2	yes	—
1015	#11719921	C₂⁴	1	2	yes	—
1016	#11719921	C₂⁴	1	4	yes	—
1017	#11719921	C₂⁴	1	4	yes	—
1018	#11719921	C₂⁴	1	4	yes	—
1019	#11719921	C₂⁴	1	4	yes	—
1020	#11719921	C₂⁴	1	2	yes	—
1021	#11719921	C₂⁴	1	2	yes	—
1022	#11719921	C₂⁴	1	2	yes	—
1023	#11719921	C₂⁴	1	2	yes	—
1024	#11719921	C₂⁴	1	2	yes	—
1025	#11719921	C₂⁴	1	2	yes	—
1026	#11719921	C₂⁴	1	4	yes	—
1027	#11719921	C₂⁴	1	4	yes	—
1028	#11719921	C₂⁴	1	4	yes	—
1029	#11719921	C₂⁴	1	4	yes	—
1030	#11719921	C₂⁴	1	2	yes	—
1031	#11719921	C₂⁴	1	2	yes	—
1032	#11719921	C₂⁴	1	4	yes	—
1033	#11719921	C₂⁴	1	2	yes	—
1034	#11719921	C₂⁴	1	2	yes	—
1035	#11719921	C₂⁴	1	4	yes	—
1036	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1037	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1038	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1039	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1040	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1041	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1042	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1043	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1044	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1045	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1046	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1047	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1048	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1049	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1050	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1051	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1052	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1053	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1054	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1055	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1056	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1057	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1058	#11719919	C₂⁴	1	2	yes	—
1059	#11719919	C₂⁴	1	4	yes	—
1060	#11719919	C₂⁴	1	2	yes	—
1061	#11719919	C₂⁴	1	2	yes	—
1062	#11719919	C₂⁴	1	2	yes	—
1063	#11719919	C₂⁴	1	2	yes	—
1064	#11719919	C₂⁴	1	2	yes	—
1065	#11719919	C₂⁴	1	2	yes	—
1066	#11719919	C₂⁴	1	2	yes	—
1067	#11719919	C₂⁴	1	4	yes	—
1068	#11719919	C₂⁴	1	4	yes	—
1069	#11719919	C₂⁴	1	4	yes	—
1070	#11719919	C₂⁴	1	4	yes	—
1071	#11719919	C₂⁴	1	4	yes	—
1072	#11719919	C₂⁴	1	4	yes	—
1073	#11719919	C₂⁴	1	4	yes	—
1074	#11719919	C₂⁴	1	2	yes	—
1075	#11719919	C₂⁴	1	2	yes	—
1076	#11719919	C₂⁴	1	4	yes	—
1077	#11719919	C₂⁴	1	4	yes	—
1078	#11719919	C₂⁴	1	4	yes	—
1079	#11719919	C₂⁴	1	4	yes	—
1080	#11719919	C₂⁴	1	4	yes	—
1081	#11719919	C₂⁴	1	4	yes	—
1082	#11719919	C₂⁴	1	4	yes	—
1083	#11719919	C₂⁴	1	4	yes	—
1084	#11719919	C₂⁴	1	4	yes	—
1085	#11719919	C₂⁴	1	4	yes	—
1086	#11719919	C₂⁴	1	2	yes	—
1087	#11719919	C₂⁴	1	2	yes	—
1088	#11719919	C₂⁴	1	2	yes	—
1089	#11719919	C₂⁴	1	4	yes	—
1090	#11719919	C₂⁴	1	2	yes	—
1091	#11719919	C₂⁴	1	4	yes	—
1092	#11719919	C₂⁴	1	4	yes	—
1093	#11719919	C₂⁴	1	4	yes	—
1094	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1095	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1096	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1097	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1098	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1099	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1100	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1101	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1102	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1103	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1104	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1105	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1106	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1107	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1108	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1109	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1110	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1111	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1112	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1113	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1114	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1115	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1116	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1117	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1118	C₂³×C₅₃	—	2	2	no	—
1119	C₂³×C₅₃	—	2	2	no	—
1120	C₂³×C₅₃	—	4	1	no	—
1121	C₂³×C₅₃	C₂⁵	1	2	yes	—
1122	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1123	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1124	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1125	C₂²×D₅₃	—	2	2	no	—
1126	C₂²×D₅₃	—	2	2	no	—
1127	C₂²×D₅₃	—	2	2	no	—
1128	C₂²×D₅₃	—	2	2	no	—
1129	C₂²×D₅₃	—	2	2	no	—
1130	C₂²×D₅₃	—	2	2	no	—
1131	C₂²×D₅₃	—	2	2	no	—
1132	C₂²×D₅₃	—	2	2	no	—
1133	C₂²×D₅₃	—	2	2	no	—
1134	C₂²×D₅₃	—	2	4	no	—
1135	C₂²×D₅₃	—	2	4	no	—
1136	C₂²×D₅₃	—	2	2	no	—
1137	C₂²×D₅₃	—	2	2	no	—
1138	C₂²×D₅₃	—	2	2	no	—
1139	C₂²×D₅₃	—	2	4	no	—
1140	C₂²×D₅₃	—	2	2	no	—
1141	C₂²×D₅₃	—	4	1	no	—
1142	C₂²×D₅₃	—	4	1	no	—
1143	C₂²×D₅₃	—	4	1	no	—
1144	C₂²×D₅₃	—	4	16	no	—
1145	C₂²×D₅₃	C₂×#41	1	4	yes	—
1146	C₂²×D₅₃	2₋¹⁺⁴	1	4	yes	—
1147	C₂²×D₅₃	C₂⁵	1	2	yes	—
1148	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1149	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1150	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1151	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1152	Q₈×C₅₃	—	2	4	no	—
1153	Q₈×C₅₃	—	2	4	no	—
1154	Q₈×C₅₃	—	2	2	no	—
1155	Q₈×C₅₃	—	4	4	no	—
1156	D₄×C₅₃	—	2	4	no	—
1157	D₄×C₅₃	—	2	4	no	—
1158	D₄×C₅₃	—	2	2	no	—
1159	D₄×C₅₃	—	4	2	no	—
1160	C₂×C₄×C₅₃	—	2	4	no	—
1161	C₂×C₄×C₅₃	—	2	2	no	—
1162	C₂×C₄×C₅₃	—	2	4	no	—
1163	C₂×C₄×C₅₃	—	2	2	no	—
1164	C₂×C₄×C₅₃	—	2	2	no	—
1165	C₂×C₄×C₅₃	—	2	2	no	—
1166	C₂×C₄×C₅₃	—	2	2	no	—
1167	C₂×C₄×C₅₃	—	2	4	no	—
1168	C₂×C₄×C₅₃	—	4	2	no	—
1169	C₂×C₄×C₅₃	—	4	2	no	—
1170	C₂×C₄×C₅₃	—	4	4	no	—
1171	C₂×C₄×C₅₃	C₂×#41	1	4	yes	—
1172	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1173	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1174	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1175	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1176	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1177	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1178	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1179	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1180	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1181	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1182	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1183	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1184	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1185	C₂²⋊D₅₃	—	2	4	no	—
1186	C₂²⋊D₅₃	—	2	4	no	—
1187	C₂²⋊D₅₃	—	2	4	no	—
1188	C₂²⋊D₅₃	—	2	4	no	—
1189	C₂²⋊D₅₃	—	2	4	no	—
1190	C₂²⋊D₅₃	—	4	2	no	—
1191	C₂²⋊D₅₃	—	4	2	no	—
1192	C₂×Dic₅₃	—	2	4	no	—
1193	C₂×Dic₅₃	—	2	2	no	—
1194	C₂×Dic₅₃	—	2	4	no	—
1195	C₂×Dic₅₃	—	2	2	no	—
1196	C₂×Dic₅₃	—	2	2	no	—
1197	C₂×Dic₅₃	—	2	2	no	—
1198	C₂×Dic₅₃	—	2	2	no	—
1199	C₂×Dic₅₃	—	2	4	no	—
1200	C₂×Dic₅₃	—	4	2	no	—
1201	C₂×Dic₅₃	—	4	2	no	—
1202	C₂×Dic₅₃	—	4	4	no	—
1203	C₂×Dic₅₃	C₂×#41	1	4	yes	—
1204	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1205	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1206	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1207	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1208	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1209	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1210	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1211	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1212	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1213	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1214	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1215	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1216	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1217	D₂₁₂	—	2	4	no	—
1218	D₂₁₂	—	2	4	no	—
1219	D₂₁₂	—	2	2	no	—
1220	D₂₁₂	—	4	2	no	—
1221	C₄×D₅₃	—	2	2	no	—
1222	C₄×D₅₃	—	2	2	no	—
1223	C₄×D₅₃	—	2	2	no	—
1224	C₄×D₅₃	—	2	2	no	—
1225	C₄×D₅₃	—	2	4	no	—
1226	C₄×D₅₃	—	2	8	no	—
1227	C₄×D₅₃	—	2	8	no	—
1228	C₄×D₅₃	—	2	4	no	—
1229	C₄×D₅₃	—	2	4	no	—
1230	C₄×D₅₃	—	2	4	no	—
1231	C₄×D₅₃	—	2	4	no	—
1232	C₄×D₅₃	—	2	4	no	—
1233	C₄×D₅₃	—	2	4	no	—
1234	C₄×D₅₃	—	2	8	no	—
1235	C₄×D₅₃	—	2	4	no	—
1236	C₄×D₅₃	—	2	4	no	—
1237	C₄×D₅₃	—	2	2	no	—
1238	C₄×D₅₃	—	2	2	no	—
1239	C₄×D₅₃	—	2	2	no	—
1240	C₄×D₅₃	—	2	2	no	—
1241	C₄×D₅₃	—	2	4	no	—
1242	C₄×D₅₃	—	2	2	no	—
1243	C₄×D₅₃	—	2	2	no	—
1244	C₄×D₅₃	—	2	2	no	—
1245	C₄×D₅₃	—	2	2	no	—
1246	C₄×D₅₃	—	2	4	no	—
1247	C₄×D₅₃	—	4	2	no	—
1248	C₄×D₅₃	—	4	4	no	—
1249	C₄×D₅₃	—	4	4	no	—
1250	C₄×D₅₃	—	4	2	no	—
1251	C₄×D₅₃	—	4	4	no	—
1252	C₄×D₅₃	C₂×#41	1	4	yes	—
1253	C₄×D₅₃	C₂×#41	1	4	yes	—
1254	C₄×D₅₃	C₂×#41	1	4	yes	—
1255	C₄×D₅₃	C₂×#41	1	4	yes	—
1256	Dic₁₀₆	—	2	4	no	—
1257	Dic₁₀₆	—	2	4	no	—
1258	Dic₁₀₆	—	2	2	no	—
1259	Dic₁₀₆	—	2	8	no	—
1260	Dic₁₀₆	—	2	8	no	—
1261	Dic₁₀₆	—	2	4	no	—
1262	Dic₁₀₆	—	4	4	no	—
1263	Dic₁₀₆	—	4	4	no	—
1264	Dic₁₀₆	—	4	4	no	—
1265	C₂×#3495	—	53	1	no	maximal, Sylow
1266	C₂²×C₅₃	—	2	1	no	—
1267	C₂²×C₅₃	—	2	1	no	—
1268	C₂²×C₅₃	—	2	1	no	—
1269	C₂²×C₅₃	—	2	1	no	—
1270	C₂²×C₅₃	—	2	1	no	—
1271	C₂²×C₅₃	—	2	2	no	—
1272	C₂²×C₅₃	—	2	2	no	—
1273	C₂²×C₅₃	—	2	1	no	—
1274	C₂²×C₅₃	—	2	2	no	—
1275	C₂²×C₅₃	—	2	1	no	—
1276	C₂²×C₅₃	—	4	4	no	—
1277	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1278	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1279	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1280	C₂×D₅₃	—	2	1	no	—
1281	C₂×D₅₃	—	2	1	no	—
1282	C₂×D₅₃	—	2	1	no	—
1283	C₂×D₅₃	—	2	1	no	—
1284	C₂×D₅₃	—	2	8	no	—
1285	C₂×D₅₃	—	2	8	no	—
1286	C₂×D₅₃	—	2	1	no	—
1287	C₂×D₅₃	—	2	2	no	—
1288	C₂×D₅₃	—	2	2	no	—
1289	C₂×D₅₃	—	2	1	no	—
1290	C₂×D₅₃	—	2	2	no	—
1291	C₂×D₅₃	—	2	1	no	—
1292	C₂×D₅₃	—	4	4	no	—
1293	C₂×D₅₃	—	4	4	no	—
1294	C₂×D₅₃	—	4	4	no	—
1295	C₂×D₅₃	—	4	8	no	—
1296	C₂×D₅₃	—	4	4	no	—
1297	C₂×D₅₃	C₂²×#41	1	2	yes	—
1298	C₂×D₅₃	C₂²×#41	1	2	yes	—
1299	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1300	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1301	C₂×D₅₃	#585	1	2	yes	—
1302	C₄×C₅₃	—	2	4	no	—
1303	C₄×C₅₃	—	2	2	no	—
1304	C₄×C₅₃	—	2	1	no	—
1305	C₄×C₅₃	—	2	1	no	—
1306	C₄×C₅₃	—	2	2	no	—
1307	C₄×C₅₃	—	2	2	no	—
1308	C₄×C₅₃	—	2	2	no	—
1309	C₄×C₅₃	—	2	2	no	—
1310	C₄×C₅₃	—	2	2	no	—
1311	C₄×C₅₃	—	2	4	no	—
1312	C₄×C₅₃	—	2	2	no	—
1313	C₄×C₅₃	C₂²×#41	1	2	yes	—
1314	C₄×C₅₃	C₂²×#41	1	2	yes	—
1315	Dic₅₃	—	2	4	no	—
1316	Dic₅₃	—	2	2	no	—
1317	Dic₅₃	—	2	1	no	—
1318	Dic₅₃	—	2	1	no	—
1319	Dic₅₃	—	2	2	no	—
1320	Dic₅₃	—	2	2	no	—
1321	Dic₅₃	—	2	2	no	—
1322	Dic₅₃	—	2	2	no	—
1323	Dic₅₃	—	2	2	no	—
1324	Dic₅₃	—	2	4	no	—
1325	Dic₅₃	—	2	2	no	—
1326	Dic₅₃	C₂²×#41	1	2	yes	—
1327	Dic₅₃	C₂²×#41	1	2	yes	—
1328	#3495	—	53	2	no	—
1329	#3495	—	53	2	no	—
1330	#3495	—	53	2	no	—
1331	#3495	—	53	4	no	—
1332	#3495	—	53	2	no	—
1333	#3495	—	53	4	no	—
1334	#3495	—	53	1	no	—
1335	#3495	—	53	2	no	—
1336	#3495	—	53	2	no	—
1337	#3495	—	53	1	no	—
1338	#3495	—	53	2	no	—
1339	#3495	—	53	2	no	—
1340	#3495	—	53	1	no	—
1341	#3495	—	53	1	no	—
1342	#3495	—	53	1	no	—
1343	#3495	—	53	1	no	—
1344	#3495	—	53	1	no	—
1345	#3495	D₅₃	1	1	yes	characteristic, direct product factor
1346	C₂×#556	—	53	2	no	—
1347	C₂×#554	—	53	2	no	—
1348	C₂×#552	—	53	2	no	—
1349	C₂×#552	—	53	4	no	—
1350	C₂×#552	—	53	2	no	—
1351	C₂×#551	—	53	4	no	—
1352	C₂×#544	—	53	1	no	—
1353	C₂×#542	—	53	2	no	—
1354	C₂×#541	—	53	2	no	—
1355	C₂×#536	—	53	1	no	—
1356	C₂×#533	—	53	2	no	—
1357	C₂×#529	—	53	2	no	—
1358	C₂×#525	—	53	1	no	—
1359	C₂²×C₂²⋊Q₈	—	53	1	no	—
1360	C₂×#520	—	53	1	no	—
1361	C₂×#519	—	53	1	no	—
1362	C₂²×#117	—	53	1	no	—
1363	C₂×C₅₃	—	2	2	no	—
1364	C₂×C₅₃	—	2	2	no	—
1365	C₂×C₅₃	—	4	1	no	—
1366	C₂×C₅₃	—	4	2	no	—
1367	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1368	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1369	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1370	D₅₃	—	2	2	no	—
1371	D₅₃	—	2	2	no	—
1372	D₅₃	—	4	2	no	—
1373	D₅₃	—	4	1	no	—
1374	D₅₃	#3495	1	4	yes	direct product factor
1375	C₂²×#41	—	53	1	no	—
1376	C₂³×Q₈	—	53	1	no	—
1377	C₂⁴×C₄	—	53	1	no	—
1378	#556	—	53	2	no	—
1379	#556	—	53	4	no	—
1380	#556	—	53	4	no	—
1381	#556	—	53	4	no	—
1382	#556	—	53	2	no	—
1383	#556	—	53	2	no	—
1384	#556	—	53	4	no	—
1385	#556	—	53	2	no	—
1386	#556	—	53	2	no	—
1387	#556	—	53	2	no	—
1388	#556	—	53	2	no	—
1389	#556	C₂×D₅₃	1	2	yes	complemented
1390	#554	—	53	2	no	—
1391	#554	—	53	4	no	—
1392	#554	—	53	4	no	—
1393	#554	—	53	2	no	—
1394	#554	—	53	4	no	—
1395	#554	—	53	2	no	—
1396	#554	—	53	2	no	—
1397	#554	—	53	2	no	—
1398	#554	—	53	4	no	—
1399	#554	—	53	2	no	—
1400	#554	—	53	2	no	—
1401	#554	C₂×D₅₃	1	2	yes	complemented
1402	#552	—	53	4	no	—
1403	#552	—	53	4	no	—
1404	#552	—	53	4	no	—
1405	#552	—	53	4	no	—
1406	#552	—	53	4	no	—
1407	#552	—	53	4	no	—
1408	#552	—	53	4	no	—
1409	#552	—	53	4	no	—
1410	#552	—	53	2	no	—
1411	#552	—	53	2	no	—
1412	#552	—	53	4	no	—
1413	#552	—	53	4	no	—
1414	#552	—	53	4	no	—
1415	#552	—	53	4	no	—
1416	#552	—	53	4	no	—
1417	#552	—	53	2	no	—
1418	#552	—	53	2	no	—
1419	#552	—	53	4	no	—
1420	#552	—	53	2	no	—
1421	#552	—	53	4	no	—
1422	#552	—	53	2	no	—
1423	#552	—	53	2	no	—
1424	#552	—	53	2	no	—
1425	#552	—	53	4	no	—
1426	#552	—	53	2	no	—
1427	#552	—	53	2	no	—
1428	#552	—	53	4	no	—
1429	#552	—	53	4	no	—
1430	#552	—	53	4	no	—
1431	#552	—	53	4	no	—
1432	#552	—	53	2	no	—
1433	#552	—	53	4	no	—
1434	#552	—	53	2	no	—
1435	#552	—	53	4	no	—
1436	#552	—	53	2	no	—
1437	#552	—	53	4	no	—
1438	#552	—	53	2	no	—
1439	#552	C₂×D₅₃	1	2	yes	complemented
1440	#552	C₂×D₅₃	1	4	yes	complemented
1441	#552	C₂×D₅₃	1	2	yes	complemented
1442	#551	—	53	4	no	—
1443	#551	—	53	4	no	—
1444	#551	—	53	4	no	—
1445	#551	—	53	4	no	—
1446	#551	—	53	4	no	—
1447	#551	—	53	4	no	—
1448	#551	—	53	4	no	—
1449	#551	—	53	4	no	—
1450	#551	—	53	4	no	—
1451	#551	—	53	4	no	—
1452	#551	—	53	4	no	—
1453	#551	—	53	4	no	—
1454	#551	—	53	4	no	—
1455	#551	—	53	4	no	—
1456	#551	—	53	4	no	—
1457	#551	C₂×D₅₃	1	4	yes	complemented
1458	#544	—	53	2	no	—
1459	#544	—	53	2	no	—
1460	#544	—	53	2	no	—
1461	#544	—	53	2	no	—
1462	#544	—	53	4	no	—
1463	#544	—	53	1	no	—
1464	#544	—	53	1	no	—
1465	#544	—	53	1	no	—
1466	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1467	#542	—	53	2	no	—
1468	#542	—	53	4	no	—
1469	#542	—	53	4	no	—
1470	#542	—	53	2	no	—
1471	#542	—	53	4	no	—
1472	#542	—	53	2	no	—
1473	#542	—	53	4	no	—
1474	#542	—	53	2	no	—
1475	#542	—	53	2	no	—
1476	#542	—	53	2	no	—
1477	#542	—	53	2	no	—
1478	#542	C₂×D₅₃	1	2	yes	complemented
1479	#541	—	53	2	no	—
1480	#541	—	53	4	no	—
1481	#541	—	53	4	no	—
1482	#541	—	53	4	no	—
1483	#541	—	53	4	no	—
1484	#541	—	53	2	no	—
1485	#541	—	53	2	no	—
1486	#541	—	53	2	no	—
1487	#541	—	53	2	no	—
1488	#541	—	53	2	no	—
1489	#541	—	53	2	no	—
1490	#541	C₂×D₅₃	1	2	yes	complemented
1491	#536	—	53	1	no	—
1492	#536	—	53	1	no	—
1493	#536	—	53	2	no	—
1494	#536	—	53	2	no	—
1495	#536	—	53	4	no	—
1496	#536	—	53	2	no	—
1497	#536	—	53	2	no	—
1498	#536	—	53	1	no	—
1499	#536	C₂×D₅₃	1	1	yes	characteristic, complemented
1500	#533	—	53	2	no	—
1501	#533	—	53	2	no	—
1502	#533	—	53	4	no	—
1503	#533	—	53	2	no	—
1504	#533	—	53	2	no	—
1505	#533	—	53	4	no	—
1506	#533	—	53	4	no	—
1507	#533	—	53	2	no	—
1508	#533	—	53	2	no	—
1509	#533	—	53	4	no	—
1510	#533	—	53	2	no	—
1511	#533	C₂×D₅₃	1	2	yes	complemented
1512	C₂×C₄⋊Q₈	—	53	2	no	—
1513	C₂×C₄⋊Q₈	—	53	2	no	—
1514	C₂×C₄⋊Q₈	—	53	2	no	—
1515	#529	—	53	4	no	—
1516	#529	—	53	2	no	—
1517	#529	—	53	2	no	—
1518	#529	—	53	4	no	—
1519	#529	—	53	2	no	—
1520	#529	—	53	2	no	—
1521	#529	—	53	2	no	—
1522	#529	—	53	4	no	—
1523	#529	—	53	2	no	—
1524	#529	—	53	4	no	—
1525	#529	—	53	2	no	—
1526	#529	C₂×D₅₃	1	2	yes	complemented
1527	C₂×#126	—	53	4	no	—
1528	C₂×#126	—	53	4	no	—
1529	C₂×#126	—	53	4	no	—
1530	C₂×#126	—	53	4	no	—
1531	C₂×#125	—	53	2	no	—
1532	C₂×#125	—	53	4	no	—
1533	C₂×#125	—	53	4	no	—
1534	C₂×#125	—	53	4	no	—
1535	C₂×#125	—	53	2	no	—
1536	C₂×#124	—	53	4	no	—
1537	C₂×#124	—	53	2	no	—
1538	#525	—	53	1	no	—
1539	#525	—	53	1	no	—
1540	#525	—	53	2	no	—
1541	#525	—	53	1	no	—
1542	#525	—	53	1	no	—
1543	#525	—	53	1	no	—
1544	#525	—	53	1	no	—
1545	#525	—	53	2	no	—
1546	#525	—	53	2	no	—
1547	#525	—	53	2	no	—
1548	#525	—	53	1	no	—
1549	#525	C₂×D₅₃	1	1	yes	characteristic
1550	C₂×#123	—	53	2	no	—
1551	C₂×#123	—	53	4	no	—
1552	C₂×#123	—	53	4	no	—
1553	C₂×#123	—	53	4	no	—
1554	C₂×C₂²⋊Q₈	—	53	1	no	—
1555	C₂×C₂²⋊Q₈	—	53	1	no	—
1556	C₂×C₂²⋊Q₈	—	53	2	no	—
1557	C₂×C₂²⋊Q₈	—	53	2	no	—
1558	C₂×C₂²⋊Q₈	—	53	2	no	—
1559	C₂×C₂²⋊Q₈	—	53	2	no	—
1560	C₂×C₂²⋊Q₈	—	53	2	no	—
1561	C₂×C₂²⋊Q₈	—	53	2	no	—
1562	C₂×C₂²⋊Q₈	—	53	2	no	—
1563	C₂×C₂²⋊Q₈	—	53	2	no	—
1564	C₂×C₂²⋊Q₈	—	53	1	no	—
1565	C₂×C₂²⋊Q₈	—	53	1	no	—
1566	C₂×C₂²⋊Q₈	—	53	4	no	—
1567	C₂×C₂²⋊Q₈	—	53	4	no	—
1568	C₂×C₂²⋊Q₈	—	53	2	no	—
1569	C₂×C₂²⋊Q₈	—	53	2	no	—
1570	C₂×C₂²⋊Q₈	—	53	4	no	—
1571	C₂×C₂²⋊Q₈	—	53	2	no	—
1572	C₂×C₂²⋊Q₈	—	53	1	no	—
1573	C₂×C₂²⋊Q₈	—	53	2	no	—
1574	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1575	C₂×#121	—	53	1	no	—
1576	C₂×#121	—	53	1	no	—
1577	C₂×#120	—	53	2	no	—
1578	#520	—	53	1	no	—
1579	#520	—	53	2	no	—
1580	#520	—	53	4	no	—
1581	#520	—	53	2	no	—
1582	#520	—	53	1	no	—
1583	#520	—	53	2	no	—
1584	#520	—	53	1	no	—
1585	#520	—	53	2	no	—
1586	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1587	#519	—	53	1	no	—
1588	#519	—	53	2	no	—
1589	#519	—	53	2	no	—
1590	#519	—	53	2	no	—
1591	#519	—	53	2	no	—
1592	#519	—	53	1	no	—
1593	#519	—	53	1	no	—
1594	#519	—	53	4	no	—
1595	#519	C₂×D₅₃	1	1	yes	characteristic, complemented
1596	C₂×C₄×Q₈	—	53	2	no	—
1597	C₂×C₄×Q₈	—	53	2	no	—
1598	C₂×C₄×Q₈	—	53	2	no	—
1599	C₂×C₄×Q₈	—	53	2	no	—
1600	C₂×C₄×Q₈	—	53	2	no	—
1601	C₂×C₄×Q₈	—	53	4	no	—
1602	C₂×C₄×D₄	—	53	4	no	—
1603	C₂×C₄×D₄	—	53	2	no	—
1604	C₂×C₄×D₄	—	53	2	no	—
1605	C₂×C₄×D₄	—	53	4	no	—
1606	C₂×C₄×D₄	—	53	2	no	—
1607	C₂×#117	—	53	1	no	—
1608	C₂×#117	—	53	1	no	—
1609	C₂×#117	—	53	1	no	—
1610	C₂×#117	—	53	2	no	—
1611	C₂×#117	—	53	1	no	—
1612	C₂×#117	—	53	2	no	—
1613	C₂×#117	—	53	1	no	—
1614	C₂×#117	—	53	1	no	—
1615	C₂×#117	—	53	4	no	—
1616	C₂×#117	—	53	4	no	—
1617	C₂×#117	—	53	1	no	—
1618	C₂×#117	—	53	1	no	—
1619	C₂×#117	—	53	2	no	—
1620	C₂×#117	—	53	1	no	—
1621	C₂×#117	—	53	2	no	—
1622	C₂×#117	—	53	1	no	—
1623	C₂×#117	—	53	2	no	—
1624	C₂×#117	—	53	4	no	—
1625	C₂×#117	—	53	1	no	—
1626	C₂×#117	—	53	1	no	—
1627	C₂×#117	—	53	2	no	—
1628	C₂×#117	—	53	2	no	—
1629	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1630	C₂²×C₄⋊C₄	—	53	1	no	—
1631	C₂²×C₄⋊C₄	—	53	1	no	—
1632	C₂²×C₄⋊C₄	—	53	1	no	—
1633	C₂²×C₄⋊C₄	—	53	2	no	—
1634	C₂²×C₄⋊C₄	—	53	2	no	—
1635	C₂²×C₂²⋊C₄	—	53	2	no	—
1636	C₂²×C₂²⋊C₄	—	53	2	no	—
1637	C₂²×C₄²	—	53	2	no	—
1638	C₅₃	C₂×#3495	1	1	yes	characteristic, complemented, Sylow
1639	C₂⁵	—	53	1	no	—
1640	C₂×#41	—	53	1	no	—
1641	C₂×#41	—	53	2	no	—
1642	C₂×#41	—	53	1	no	—
1643	C₂×#41	—	53	2	no	—
1644	C₂×#41	—	53	1	no	—
1645	C₂×#41	—	106	8	no	—
1646	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1647	C₂²×Q₈	—	53	2	no	—
1648	C₂²×Q₈	—	53	2	no	—
1649	C₂²×Q₈	—	53	1	no	—
1650	C₂²×Q₈	—	53	2	no	—
1651	C₂²×Q₈	—	53	2	no	—
1652	C₂²×Q₈	—	53	4	no	—
1653	C₂²×Q₈	—	53	2	no	—
1654	C₂²×Q₈	—	53	1	no	—
1655	C₂²×Q₈	—	106	8	no	—
1656	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1657	C₂²×D₄	—	53	2	no	—
1658	C₂²×D₄	—	53	2	no	—
1659	C₂²×D₄	—	53	1	no	—
1660	C₂²×D₄	—	53	2	no	—
1661	C₂³×C₄	—	53	1	no	—
1662	C₂³×C₄	—	53	1	no	—
1663	C₂³×C₄	—	53	2	no	—
1664	C₂³×C₄	—	53	2	no	—
1665	C₂³×C₄	—	53	1	no	—
1666	C₂³×C₄	—	53	1	no	—
1667	C₂³×C₄	—	53	2	no	—
1668	C₂³×C₄	—	53	1	no	—
1669	C₂³×C₄	—	53	1	no	—
1670	C₂³×C₄	—	53	1	no	—
1671	C₂³×C₄	—	53	1	no	—
1672	C₂³×C₄	—	53	1	no	—
1673	C₂³×C₄	—	53	1	no	—
1674	C₂³×C₄	—	53	1	no	—
1675	C₂³×C₄	—	53	1	no	—
1676	C₂³×C₄	—	53	1	no	—
1677	C₂³×C₄	—	53	2	no	—
1678	C₂³×C₄	—	53	2	no	—
1679	C₂³×C₄	—	53	4	no	—
1680	C₂³×C₄	—	106	8	no	—
1681	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1682	C₄⋊Q₈	—	53	2	no	—
1683	C₄⋊Q₈	—	53	2	no	—
1684	C₄⋊Q₈	—	53	4	no	—
1685	C₄⋊Q₈	—	53	4	no	—
1686	C₄⋊Q₈	—	53	4	no	—
1687	C₄⋊Q₈	—	53	4	no	—
1688	C₄⋊Q₈	—	53	4	no	—
1689	C₄⋊Q₈	—	53	2	no	—
1690	C₄⋊Q₈	—	53	2	no	—
1691	C₄⋊Q₈	—	53	4	no	—
1692	C₄⋊Q₈	—	53	2	no	—
1693	C₄⋊Q₈	—	53	2	no	—
1694	C₄⋊Q₈	—	53	2	no	—
1695	C₄⋊Q₈	—	53	2	no	—
1696	C₄⋊Q₈	—	53	2	no	—
1697	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1698	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1699	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1700	#126	—	53	4	no	—
1701	#126	—	53	4	no	—
1702	#126	—	53	4	no	—
1703	#126	—	53	4	no	—
1704	#126	—	53	4	no	—
1705	#126	—	53	4	no	—
1706	#126	—	53	4	no	—
1707	#126	—	53	4	no	—
1708	#126	—	53	4	no	—
1709	#126	—	53	4	no	—
1710	#126	—	53	4	no	—
1711	#126	—	53	4	no	—
1712	#126	—	53	4	no	—
1713	#126	—	53	4	no	—
1714	#126	—	53	4	no	—
1715	#126	—	53	4	no	—
1716	#126	—	53	4	no	—
1717	#126	—	53	4	no	—
1718	#126	—	53	4	no	—
1719	#126	—	53	4	no	—
1720	#126	—	53	4	no	—
1721	#126	—	53	4	no	—
1722	#126	—	53	4	no	—
1723	#126	—	53	4	no	—
1724	#126	—	53	4	no	—
1725	#126	—	53	4	no	—
1726	#126	—	53	4	no	—
1727	#126	—	53	4	no	—
1728	#126	C₂²×D₅₃	1	4	yes	—
1729	#126	C₂²×D₅₃	1	4	yes	—
1730	#126	C₂²×D₅₃	1	4	yes	complemented
1731	#126	C₂²×D₅₃	1	4	yes	complemented
1732	#125	—	53	4	no	—
1733	#125	—	53	4	no	—
1734	#125	—	53	2	no	—
1735	#125	—	53	2	no	—
1736	#125	—	53	4	no	—
1737	#125	—	53	4	no	—
1738	#125	—	53	4	no	—
1739	#125	—	53	4	no	—
1740	#125	—	53	4	no	—
1741	#125	—	53	4	no	—
1742	#125	—	53	4	no	—
1743	#125	—	53	4	no	—
1744	#125	—	53	4	no	—
1745	#125	—	53	4	no	—
1746	#125	—	53	4	no	—
1747	#125	—	53	4	no	—
1748	#125	—	53	4	no	—
1749	#125	—	53	4	no	—
1750	#125	—	53	4	no	—
1751	#125	—	53	4	no	—
1752	#125	—	53	4	no	—
1753	#125	—	53	4	no	—
1754	#125	—	53	4	no	—
1755	#125	—	53	4	no	—
1756	#125	—	53	2	no	—
1757	#125	—	53	2	no	—
1758	#125	—	53	2	no	—
1759	#125	—	53	4	no	—
1760	#125	—	53	4	no	—
1761	#125	—	53	4	no	—
1762	#125	—	53	2	no	—
1763	#125	C₂²×D₅₃	1	2	yes	complemented
1764	#125	C₂²×D₅₃	1	4	yes	complemented
1765	#125	C₂²×D₅₃	1	4	yes	complemented
1766	#125	C₂²×D₅₃	1	4	yes	complemented
1767	#125	C₂²×D₅₃	1	2	yes	complemented
1768	#124	—	53	2	no	—
1769	#124	—	53	4	no	—
1770	#124	—	53	2	no	—
1771	#124	—	53	4	no	—
1772	#124	—	53	4	no	—
1773	#124	—	53	4	no	—
1774	#124	—	53	4	no	—
1775	#124	—	53	4	no	—
1776	#124	—	53	4	no	—
1777	#124	—	53	4	no	—
1778	#124	—	53	2	no	—
1779	#124	—	53	4	no	—
1780	#124	C₂²×D₅₃	1	4	yes	—
1781	#124	C₂²×D₅₃	1	2	yes	complemented
1782	#123	—	53	2	no	—
1783	#123	—	53	4	no	—
1784	#123	—	53	4	no	—
1785	#123	—	53	4	no	—
1786	#123	—	53	2	no	—
1787	#123	—	53	4	no	—
1788	#123	—	53	4	no	—
1789	#123	—	53	4	no	—
1790	#123	—	53	2	no	—
1791	#123	—	53	2	no	—
1792	#123	—	53	4	no	—
1793	#123	—	53	4	no	—
1794	#123	—	53	4	no	—
1795	#123	—	53	4	no	—
1796	#123	—	53	4	no	—
1797	#123	—	53	4	no	—
1798	#123	—	53	2	no	—
1799	#123	—	53	2	no	—
1800	#123	—	53	2	no	—
1801	#123	—	53	4	no	—
1802	#123	—	53	4	no	—
1803	#123	—	53	4	no	—
1804	#123	—	53	4	no	—
1805	#123	—	53	4	no	—
1806	#123	—	53	4	no	—
1807	#123	—	53	4	no	—
1808	#123	—	53	4	no	—
1809	#123	—	53	4	no	—
1810	#123	C₂²×D₅₃	1	2	yes	—
1811	#123	C₂²×D₅₃	1	4	yes	—
1812	#123	C₂²×D₅₃	1	4	yes	—
1813	#123	C₂²×D₅₃	1	4	yes	—
1814	C₂²⋊Q₈	—	53	2	no	—
1815	C₂²⋊Q₈	—	53	2	no	—
1816	C₂²⋊Q₈	—	53	2	no	—
1817	C₂²⋊Q₈	—	53	2	no	—
1818	C₂²⋊Q₈	—	53	1	no	—
1819	C₂²⋊Q₈	—	53	1	no	—
1820	C₂²⋊Q₈	—	53	4	no	—
1821	C₂²⋊Q₈	—	53	2	no	—
1822	C₂²⋊Q₈	—	53	2	no	—
1823	C₂²⋊Q₈	—	53	4	no	—
1824	C₂²⋊Q₈	—	53	4	no	—
1825	C₂²⋊Q₈	—	53	2	no	—
1826	C₂²⋊Q₈	—	53	2	no	—
1827	C₂²⋊Q₈	—	53	2	no	—
1828	C₂²⋊Q₈	—	53	2	no	—
1829	C₂²⋊Q₈	—	53	1	no	—
1830	C₂²⋊Q₈	—	53	1	no	—
1831	C₂²⋊Q₈	—	53	4	no	—
1832	C₂²⋊Q₈	—	53	2	no	—
1833	C₂²⋊Q₈	—	53	2	no	—
1834	C₂²⋊Q₈	—	53	4	no	—
1835	C₂²⋊Q₈	—	53	4	no	—
1836	C₂²⋊Q₈	—	53	4	no	—
1837	C₂²⋊Q₈	—	53	2	no	—
1838	C₂²⋊Q₈	—	53	4	no	—
1839	C₂²⋊Q₈	—	53	2	no	—
1840	C₂²⋊Q₈	—	53	4	no	—
1841	C₂²⋊Q₈	—	53	2	no	—
1842	C₂²⋊Q₈	—	53	4	no	—
1843	C₂²⋊Q₈	—	53	2	no	—
1844	C₂²⋊Q₈	—	53	2	no	—
1845	C₂²⋊Q₈	—	53	1	no	—
1846	C₂²⋊Q₈	—	53	2	no	—
1847	C₂²⋊Q₈	—	53	1	no	—
1848	C₂²⋊Q₈	—	53	4	no	—
1849	C₂²⋊Q₈	—	53	4	no	—
1850	C₂²⋊Q₈	—	53	4	no	—
1851	C₂²⋊Q₈	—	53	4	no	—
1852	C₂²⋊Q₈	—	53	2	no	—
1853	C₂²⋊Q₈	—	53	4	no	—
1854	C₂²⋊Q₈	—	53	2	no	—
1855	C₂²⋊Q₈	—	53	4	no	—
1856	C₂²⋊Q₈	—	53	4	no	—
1857	C₂²⋊Q₈	—	53	4	no	—
1858	C₂²⋊Q₈	—	53	4	no	—
1859	C₂²⋊Q₈	—	53	4	no	—
1860	C₂²⋊Q₈	—	53	4	no	—
1861	C₂²⋊Q₈	—	53	4	no	—
1862	C₂²⋊Q₈	—	53	4	no	—
1863	C₂²⋊Q₈	—	53	4	no	—
1864	C₂²⋊Q₈	—	53	4	no	—
1865	C₂²⋊Q₈	—	53	2	no	—
1866	C₂²⋊Q₈	—	53	2	no	—
1867	C₂²⋊Q₈	—	53	4	no	—
1868	C₂²⋊Q₈	—	53	4	no	—
1869	C₂²⋊Q₈	—	53	4	no	—
1870	C₂²⋊Q₈	—	53	4	no	—
1871	C₂²⋊Q₈	—	53	4	no	—
1872	C₂²⋊Q₈	—	53	4	no	—
1873	C₂²⋊Q₈	—	53	4	no	—
1874	C₂²⋊Q₈	—	53	4	no	—
1875	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1876	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1877	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1878	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1879	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1880	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1881	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1882	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1883	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1884	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1885	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1886	#121	—	53	1	no	—
1887	#121	—	53	2	no	—
1888	#121	—	53	1	no	—
1889	#121	—	53	2	no	—
1890	#121	—	53	1	no	—
1891	#121	—	53	1	no	—
1892	#121	—	53	1	no	—
1893	#121	—	53	1	no	—
1894	#121	—	53	2	no	—
1895	#121	—	53	2	no	—
1896	#121	C₂²×D₅₃	1	1	yes	characteristic
1897	#121	C₂²×D₅₃	1	1	yes	characteristic
1898	#120	—	53	2	no	—
1899	#120	—	53	2	no	—
1900	#120	—	53	2	no	—
1901	#120	—	53	2	no	—
1902	#120	—	53	2	no	—
1903	#120	—	53	2	no	—
1904	#120	—	53	2	no	—
1905	#120	C₂²×D₅₃	1	2	yes	—
1906	C₄×Q₈	—	53	2	no	—
1907	C₄×Q₈	—	53	2	no	—
1908	C₄×Q₈	—	53	2	no	—
1909	C₄×Q₈	—	53	2	no	—
1910	C₄×Q₈	—	53	2	no	—
1911	C₄×Q₈	—	53	4	no	—
1912	C₄×Q₈	—	53	4	no	—
1913	C₄×Q₈	—	53	2	no	—
1914	C₄×Q₈	—	53	4	no	—
1915	C₄×Q₈	—	53	2	no	—
1916	C₄×Q₈	—	53	4	no	—
1917	C₄×Q₈	—	53	2	no	—
1918	C₄×Q₈	—	53	4	no	—
1919	C₄×Q₈	—	53	2	no	—
1920	C₄×Q₈	—	53	4	no	—
1921	C₄×Q₈	—	53	2	no	—
1922	C₄×Q₈	—	53	4	no	—
1923	C₄×Q₈	—	53	4	no	—
1924	C₄×Q₈	—	53	4	no	—
1925	C₄×Q₈	—	53	4	no	—
1926	C₄×Q₈	—	53	2	no	—
1927	C₄×Q₈	—	53	4	no	—
1928	C₄×Q₈	—	53	2	no	—
1929	C₄×Q₈	—	53	2	no	—
1930	C₄×Q₈	—	53	4	no	—
1931	C₄×Q₈	—	53	2	no	—
1932	C₄×Q₈	—	53	4	no	—
1933	C₄×Q₈	—	53	4	no	—
1934	C₄×Q₈	—	53	2	no	—
1935	C₄×Q₈	—	53	4	no	—
1936	C₄×Q₈	—	53	4	no	—
1937	C₄×Q₈	—	53	4	no	—
1938	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1939	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1940	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1941	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1942	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1943	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1944	C₄×D₄	—	53	2	no	—
1945	C₄×D₄	—	53	4	no	—
1946	C₄×D₄	—	53	2	no	—
1947	C₄×D₄	—	53	2	no	—
1948	C₄×D₄	—	53	4	no	—
1949	C₄×D₄	—	53	4	no	—
1950	C₄×D₄	—	53	4	no	—
1951	C₄×D₄	—	53	4	no	—
1952	C₄×D₄	—	53	2	no	—
1953	C₄×D₄	—	53	2	no	—
1954	C₄×D₄	—	53	2	no	—
1955	C₄×D₄	—	53	2	no	—
1956	C₄×D₄	—	53	4	no	—
1957	C₄×D₄	—	53	4	no	—
1958	C₄×D₄	—	53	2	no	—
1959	C₄×D₄	—	53	4	no	—
1960	C₄×D₄	—	53	2	no	—
1961	C₄×D₄	—	53	2	no	—
1962	C₄×D₄	—	53	4	no	—
1963	C₄×D₄	—	53	4	no	—
1964	C₄×D₄	—	53	4	no	—
1965	C₄×D₄	—	53	4	no	—
1966	C₄×D₄	—	53	2	no	—
1967	C₄×D₄	—	53	2	no	—
1968	C₄×D₄	—	53	2	no	—
1969	C₄×D₄	—	53	2	no	—
1970	C₄×D₄	—	53	4	no	—
1971	C₄×D₄	—	53	4	no	—
1972	C₄×D₄	—	53	2	no	—
1973	C₄×D₄	—	53	4	no	—
1974	C₄×D₄	—	53	2	no	—
1975	C₄×D₄	—	53	2	no	—
1976	C₄×D₄	—	53	4	no	—
1977	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1978	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1979	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1980	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1981	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1982	#117	—	53	1	no	—
1983	#117	—	53	1	no	—
1984	#117	—	53	2	no	—
1985	#117	—	53	1	no	—
1986	#117	—	53	2	no	—
1987	#117	—	53	1	no	—
1988	#117	—	53	1	no	—
1989	#117	—	53	4	no	—
1990	#117	—	53	2	no	—
1991	#117	—	53	4	no	—
1992	#117	—	53	4	no	—
1993	#117	—	53	1	no	—
1994	#117	—	53	1	no	—
1995	#117	—	53	1	no	—
1996	#117	—	53	1	no	—
1997	#117	—	53	2	no	—
1998	#117	—	53	2	no	—
1999	#117	—	53	1	no	—
2000	#117	—	53	1	no	—
2001	#117	—	53	2	no	—
2002	#117	—	53	2	no	—
2003	#117	—	53	1	no	—
2004	#117	—	53	1	no	—
2005	#117	—	53	1	no	—
2006	#117	—	53	1	no	—
2007	#117	—	53	4	no	—
2008	#117	—	53	4	no	—
2009	#117	—	53	2	no	—
2010	#117	—	53	2	no	—
2011	#117	—	53	4	no	—
2012	#117	—	53	4	no	—
2013	#117	—	53	4	no	—
2014	#117	—	53	4	no	—
2015	#117	—	53	2	no	—
2016	#117	—	53	2	no	—
2017	#117	—	53	2	no	—
2018	#117	—	53	2	no	—
2019	#117	—	53	2	no	—
2020	#117	—	53	2	no	—
2021	#117	—	53	2	no	—
2022	#117	—	53	2	no	—
2023	#117	—	53	2	no	—
2024	#117	—	53	4	no	—
2025	#117	—	53	4	no	—
2026	#117	—	53	4	no	—
2027	#117	—	53	4	no	—
2028	#117	—	53	4	no	—
2029	#117	—	53	4	no	—
2030	#117	—	53	4	no	—
2031	#117	—	53	2	no	—
2032	#117	—	53	2	no	—
2033	#117	—	53	2	no	—
2034	#117	—	53	2	no	—
2035	#117	—	53	2	no	—
2036	#117	—	53	2	no	—
2037	#117	—	53	2	no	—
2038	#117	—	53	2	no	—
2039	#117	—	53	2	no	—
2040	#117	—	53	4	no	—
2041	#117	—	53	4	no	—
2042	#117	—	53	4	no	—
2043	#117	—	53	4	no	—
2044	#117	—	53	4	no	—
2045	#117	—	53	4	no	—
2046	#117	—	53	4	no	—
2047	#117	C₂²×D₅₃	1	1	yes	characteristic
2048	#117	C₂²×D₅₃	1	1	yes	characteristic
2049	#117	C₂²×D₅₃	1	2	yes	—
2050	#117	C₂²×D₅₃	1	1	yes	characteristic
2051	#117	C₂²×D₅₃	1	2	yes	—
2052	#117	C₂²×D₅₃	1	1	yes	characteristic
2053	#117	C₂²×D₅₃	1	1	yes	characteristic
2054	#117	C₂²×D₅₃	1	4	yes	—
2055	#117	C₂²×D₅₃	1	4	yes	—
2056	#117	C₂²×D₅₃	1	2	yes	complemented
2057	#117	C₂²×D₅₃	1	4	yes	complemented
2058	C₂×C₄⋊C₄	—	53	2	no	—
2059	C₂×C₄⋊C₄	—	53	1	no	—
2060	C₂×C₄⋊C₄	—	53	2	no	—
2061	C₂×C₄⋊C₄	—	53	1	no	—
2062	C₂×C₄⋊C₄	—	53	2	no	—
2063	C₂×C₄⋊C₄	—	53	1	no	—
2064	C₂×C₄⋊C₄	—	53	4	no	—
2065	C₂×C₄⋊C₄	—	53	2	no	—
2066	C₂×C₄⋊C₄	—	53	2	no	—
2067	C₂×C₄⋊C₄	—	53	2	no	—
2068	C₂×C₄⋊C₄	—	53	2	no	—
2069	C₂×C₄⋊C₄	—	53	1	no	—
2070	C₂×C₄⋊C₄	—	53	2	no	—
2071	C₂×C₄⋊C₄	—	53	1	no	—
2072	C₂×C₄⋊C₄	—	53	1	no	—
2073	C₂×C₄⋊C₄	—	53	2	no	—
2074	C₂×C₄⋊C₄	—	53	1	no	—
2075	C₂×C₄⋊C₄	—	53	2	no	—
2076	C₂×C₄⋊C₄	—	53	2	no	—
2077	C₂×C₄⋊C₄	—	53	1	no	—
2078	C₂×C₄⋊C₄	—	53	1	no	—
2079	C₂×C₄⋊C₄	—	53	2	no	—
2080	C₂×C₄⋊C₄	—	53	1	no	—
2081	C₂×C₄⋊C₄	—	53	1	no	—
2082	C₂×C₄⋊C₄	—	53	4	no	—
2083	C₂×C₄⋊C₄	—	53	2	no	—
2084	C₂×C₄⋊C₄	—	53	4	no	—
2085	C₂×C₄⋊C₄	—	53	2	no	—
2086	C₂×C₄⋊C₄	—	53	2	no	—
2087	C₂×C₄⋊C₄	—	53	4	no	—
2088	C₂×C₄⋊C₄	—	53	2	no	—
2089	C₂×C₄⋊C₄	—	53	2	no	—
2090	C₂×C₄⋊C₄	—	53	4	no	—
2091	C₂×C₄⋊C₄	—	53	4	no	—
2092	C₂×C₄⋊C₄	—	53	4	no	—
2093	C₂×C₄⋊C₄	—	53	1	no	—
2094	C₂×C₄⋊C₄	—	53	1	no	—
2095	C₂×C₄⋊C₄	—	53	4	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	2	no	—
2102	C₂×C₄⋊C₄	—	53	4	no	—
2103	C₂×C₄⋊C₄	—	53	4	no	—
2104	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2105	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2106	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2107	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	—
2108	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2109	C₂×C₂²⋊C₄	—	53	2	no	—
2110	C₂×C₂²⋊C₄	—	53	2	no	—
2111	C₂×C₂²⋊C₄	—	53	2	no	—
2112	C₂×C₂²⋊C₄	—	53	2	no	—
2113	C₂×C₂²⋊C₄	—	53	2	no	—
2114	C₂×C₂²⋊C₄	—	53	2	no	—
2115	C₂×C₂²⋊C₄	—	53	2	no	—
2116	C₂×C₂²⋊C₄	—	53	2	no	—
2117	C₂×C₂²⋊C₄	—	53	2	no	—
2118	C₂×C₂²⋊C₄	—	53	2	no	—
2119	C₂×C₂²⋊C₄	—	53	2	no	—
2120	C₂×C₂²⋊C₄	—	53	2	no	—
2121	C₂×C₂²⋊C₄	—	53	2	no	—
2122	C₂×C₂²⋊C₄	—	53	2	no	—
2123	C₂×C₂²⋊C₄	—	53	4	no	—
2124	C₂×C₂²⋊C₄	—	53	4	no	—
2125	C₂×C₂²⋊C₄	—	53	4	no	—
2126	C₂×C₂²⋊C₄	—	53	4	no	—
2127	C₂×C₂²⋊C₄	—	53	2	no	—
2128	C₂×C₂²⋊C₄	—	53	2	no	—
2129	C₂×C₂²⋊C₄	—	53	2	no	—
2130	C₂×C₂²⋊C₄	—	53	4	no	—
2131	C₂×C₂²⋊C₄	—	53	4	no	—
2132	C₂×C₂²⋊C₄	—	53	2	no	—
2133	C₂×C₂²⋊C₄	—	53	2	no	—
2134	C₂×C₂²⋊C₄	—	53	4	no	—
2135	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2136	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2137	C₂×C₄²	—	53	2	no	—
2138	C₂×C₄²	—	53	2	no	—
2139	C₂×C₄²	—	53	2	no	—
2140	C₂×C₄²	—	53	2	no	—
2141	C₂×C₄²	—	53	2	no	—
2142	C₂×C₄²	—	53	4	no	—
2143	C₂×C₄²	—	53	4	no	—
2144	C₂×C₄²	—	53	4	no	—
2145	C₂×C₄²	—	53	2	no	—
2146	C₂×C₄²	—	53	2	no	—
2147	C₂×C₄²	—	53	2	no	—
2148	C₂×C₄²	—	53	2	no	—
2149	C₂×C₄²	—	53	2	no	—
2150	C₂×C₄²	—	53	2	no	—
2151	C₂×C₄²	—	53	2	no	—
2152	C₂×C₄²	C₂²×D₅₃	1	2	yes	—
2153	C₂⁴	—	53	1	no	—
2154	C₂⁴	—	53	1	no	—
2155	C₂⁴	—	53	1	no	—
2156	C₂⁴	—	53	2	no	—
2157	C₂⁴	—	53	1	no	—
2158	C₂⁴	—	53	1	no	—
2159	C₂⁴	—	53	1	no	—
2160	C₂⁴	—	106	4	no	—
2161	C₂⁴	—	106	4	no	—
2162	C₂⁴	—	212	2	no	—
2163	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2164	#41	—	2	4	no	—
2165	#41	—	106	8	no	—
2166	#41	—	106	8	no	—
2167	#41	—	106	4	no	—
2168	#41	—	106	4	no	—
2169	#41	—	106	4	no	—
2170	C₂×Q₈	—	2	4	no	—
2171	C₂×Q₈	—	53	4	no	—
2172	C₂×Q₈	—	53	2	no	—
2173	C₂×Q₈	—	53	4	no	—
2174	C₂×Q₈	—	53	2	no	—
2175	C₂×Q₈	—	53	2	no	—
2176	C₂×Q₈	—	53	1	no	—
2177	C₂×Q₈	—	53	4	no	—
2178	C₂×Q₈	—	53	4	no	—
2179	C₂×Q₈	—	53	4	no	—
2180	C₂×Q₈	—	106	8	no	—
2181	C₂×Q₈	—	106	8	no	—
2182	C₂×Q₈	—	106	8	no	—
2183	C₂×Q₈	—	106	8	no	—
2184	C₂×Q₈	—	106	8	no	—
2185	C₂×Q₈	—	106	4	no	—
2186	C₂×Q₈	—	106	4	no	—
2187	C₂×Q₈	—	212	8	no	—
2188	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2189	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2190	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2191	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2192	C₂×D₄	—	53	2	no	—
2193	C₂×D₄	—	53	2	no	—
2194	C₂×D₄	—	53	2	no	—
2195	C₂×D₄	—	53	2	no	—
2196	C₂×D₄	—	53	2	no	—
2197	C₂×D₄	—	53	2	no	—
2198	C₂×D₄	—	53	2	no	—
2199	C₂×D₄	—	53	2	no	—
2200	C₂×D₄	—	53	2	no	—
2201	C₂×D₄	—	53	1	no	—
2202	C₂×D₄	—	53	2	no	—
2203	C₂×D₄	—	106	4	no	—
2204	C₂×D₄	—	106	8	no	—
2205	C₂×D₄	—	106	8	no	—
2206	C₂×D₄	—	212	4	no	—
2207	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2208	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2209	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2210	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2211	C₂²×C₄	—	2	4	no	—
2212	C₂²×C₄	—	53	1	no	—
2213	C₂²×C₄	—	53	8	no	—
2214	C₂²×C₄	—	53	1	no	—
2215	C₂²×C₄	—	53	1	no	—
2216	C₂²×C₄	—	53	1	no	—
2217	C₂²×C₄	—	53	1	no	—
2218	C₂²×C₄	—	53	1	no	—
2219	C₂²×C₄	—	53	2	no	—
2220	C₂²×C₄	—	53	2	no	—
2221	C₂²×C₄	—	53	1	no	—
2222	C₂²×C₄	—	53	1	no	—
2223	C₂²×C₄	—	53	2	no	—
2224	C₂²×C₄	—	53	1	no	—
2225	C₂²×C₄	—	53	1	no	—
2226	C₂²×C₄	—	53	2	no	—
2227	C₂²×C₄	—	53	2	no	—
2228	C₂²×C₄	—	53	4	no	—
2229	C₂²×C₄	—	53	2	no	—
2230	C₂²×C₄	—	53	1	no	—
2231	C₂²×C₄	—	53	2	no	—
2232	C₂²×C₄	—	53	1	no	—
2233	C₂²×C₄	—	53	1	no	—
2234	C₂²×C₄	—	53	2	no	—
2235	C₂²×C₄	—	53	2	no	—
2236	C₂²×C₄	—	53	2	no	—
2237	C₂²×C₄	—	53	4	no	—
2238	C₂²×C₄	—	53	2	no	—
2239	C₂²×C₄	—	53	2	no	—
2240	C₂²×C₄	—	53	2	no	—
2241	C₂²×C₄	—	53	2	no	—
2242	C₂²×C₄	—	53	4	no	—
2243	C₂²×C₄	—	53	1	no	—
2244	C₂²×C₄	—	53	4	no	—
2245	C₂²×C₄	—	53	1	no	—
2246	C₂²×C₄	—	53	1	no	—
2247	C₂²×C₄	—	53	1	no	—
2248	C₂²×C₄	—	53	1	no	—
2249	C₂²×C₄	—	53	2	no	—
2250	C₂²×C₄	—	53	2	no	—
2251	C₂²×C₄	—	53	1	no	—
2252	C₂²×C₄	—	53	1	no	—
2253	C₂²×C₄	—	53	1	no	—
2254	C₂²×C₄	—	53	1	no	—
2255	C₂²×C₄	—	53	2	no	—
2256	C₂²×C₄	—	53	2	no	—
2257	C₂²×C₄	—	53	4	no	—
2258	C₂²×C₄	—	53	4	no	—
2259	C₂²×C₄	—	53	4	no	—
2260	C₂²×C₄	—	106	4	no	—
2261	C₂²×C₄	—	106	4	no	—
2262	C₂²×C₄	—	106	4	no	—
2263	C₂²×C₄	—	106	4	no	—
2264	C₂²×C₄	—	106	4	no	—
2265	C₂²×C₄	—	106	4	no	—
2266	C₂²×C₄	—	106	4	no	—
2267	C₂²×C₄	—	106	4	no	—
2268	C₂²×C₄	—	106	4	no	—
2269	C₂²×C₄	—	106	8	no	—
2270	C₂²×C₄	—	106	8	no	—
2271	C₂²×C₄	—	106	4	no	—
2272	C₂²×C₄	—	106	8	no	—
2273	C₂²×C₄	—	106	4	no	—
2274	C₂²×C₄	—	106	4	no	—
2275	C₂²×C₄	—	212	8	no	—
2276	C₂²×C₄	—	212	4	no	—
2277	C₂²×C₄	—	212	4	no	—
2278	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2279	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2280	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2281	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2282	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2283	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2284	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2285	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2286	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2287	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2288	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2289	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2290	C₄⋊C₄	—	53	2	no	—
2291	C₄⋊C₄	—	53	1	no	—
2292	C₄⋊C₄	—	53	4	no	—
2293	C₄⋊C₄	—	53	2	no	—
2294	C₄⋊C₄	—	53	2	no	—
2295	C₄⋊C₄	—	53	1	no	—
2296	C₄⋊C₄	—	53	2	no	—
2297	C₄⋊C₄	—	53	2	no	—
2298	C₄⋊C₄	—	53	2	no	—
2299	C₄⋊C₄	—	53	2	no	—
2300	C₄⋊C₄	—	53	1	no	—
2301	C₄⋊C₄	—	53	2	no	—
2302	C₄⋊C₄	—	53	1	no	—
2303	C₄⋊C₄	—	53	2	no	—
2304	C₄⋊C₄	—	53	2	no	—
2305	C₄⋊C₄	—	53	2	no	—
2306	C₄⋊C₄	—	53	4	no	—
2307	C₄⋊C₄	—	53	4	no	—
2308	C₄⋊C₄	—	53	4	no	—
2309	C₄⋊C₄	—	53	4	no	—
2310	C₄⋊C₄	—	53	2	no	—
2311	C₄⋊C₄	—	53	4	no	—
2312	C₄⋊C₄	—	53	4	no	—
2313	C₄⋊C₄	—	53	4	no	—
2314	C₄⋊C₄	—	53	4	no	—
2315	C₄⋊C₄	—	53	4	no	—
2316	C₄⋊C₄	—	53	4	no	—
2317	C₄⋊C₄	—	53	2	no	—
2318	C₄⋊C₄	—	53	1	no	—
2319	C₄⋊C₄	—	53	2	no	—
2320	C₄⋊C₄	—	53	1	no	—
2321	C₄⋊C₄	—	53	4	no	—
2322	C₄⋊C₄	—	53	4	no	—
2323	C₄⋊C₄	—	53	4	no	—
2324	C₄⋊C₄	—	53	4	no	—
2325	C₄⋊C₄	—	53	4	no	—
2326	C₄⋊C₄	—	53	4	no	—
2327	C₄⋊C₄	—	53	4	no	—
2328	C₄⋊C₄	—	53	4	no	—
2329	C₄⋊C₄	—	53	4	no	—
2330	C₄⋊C₄	—	53	4	no	—
2331	C₄⋊C₄	—	53	4	no	—
2332	C₄⋊C₄	—	53	4	no	—
2333	C₄⋊C₄	—	53	4	no	—
2334	C₄⋊C₄	—	53	4	no	—
2335	C₄⋊C₄	—	53	4	no	—
2336	C₄⋊C₄	—	53	2	no	—
2337	C₄⋊C₄	—	53	2	no	—
2338	C₄⋊C₄	—	53	2	no	—
2339	C₄⋊C₄	—	53	2	no	—
2340	C₄⋊C₄	—	53	2	no	—
2341	C₄⋊C₄	—	53	2	no	—
2342	C₄⋊C₄	—	53	4	no	—
2343	C₄⋊C₄	—	53	4	no	—
2344	C₄⋊C₄	—	53	4	no	—
2345	C₄⋊C₄	—	53	4	no	—
2346	C₄⋊C₄	—	53	4	no	—
2347	C₄⋊C₄	—	53	4	no	—
2348	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2349	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2350	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2351	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2352	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2353	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2354	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2355	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2356	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2357	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2358	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2359	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2360	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2361	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2362	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2363	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2364	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2365	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2366	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2367	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2368	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2369	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2370	C₂²⋊C₄	—	53	2	no	—
2371	C₂²⋊C₄	—	53	2	no	—
2372	C₂²⋊C₄	—	53	2	no	—
2373	C₂²⋊C₄	—	53	2	no	—
2374	C₂²⋊C₄	—	53	4	no	—
2375	C₂²⋊C₄	—	53	4	no	—
2376	C₂²⋊C₄	—	53	2	no	—
2377	C₂²⋊C₄	—	53	2	no	—
2378	C₂²⋊C₄	—	53	2	no	—
2379	C₂²⋊C₄	—	53	4	no	—
2380	C₂²⋊C₄	—	53	4	no	—
2381	C₂²⋊C₄	—	53	2	no	—
2382	C₂²⋊C₄	—	53	2	no	—
2383	C₂²⋊C₄	—	53	4	no	—
2384	C₂²⋊C₄	—	53	2	no	—
2385	C₂²⋊C₄	—	53	2	no	—
2386	C₂²⋊C₄	—	53	2	no	—
2387	C₂²⋊C₄	—	53	2	no	—
2388	C₂²⋊C₄	—	53	2	no	—
2389	C₂²⋊C₄	—	53	2	no	—
2390	C₂²⋊C₄	—	53	2	no	—
2391	C₂²⋊C₄	—	53	2	no	—
2392	C₂²⋊C₄	—	53	4	no	—
2393	C₂²⋊C₄	—	53	4	no	—
2394	C₂²⋊C₄	—	53	4	no	—
2395	C₂²⋊C₄	—	53	4	no	—
2396	C₂²⋊C₄	—	53	2	no	—
2397	C₂²⋊C₄	—	53	2	no	—
2398	C₂²⋊C₄	—	53	2	no	—
2399	C₂²⋊C₄	—	53	2	no	—
2400	C₂²⋊C₄	—	53	2	no	—
2401	C₂²⋊C₄	—	53	2	no	—
2402	C₂²⋊C₄	—	53	4	no	—
2403	C₂²⋊C₄	—	53	4	no	—
2404	C₂²⋊C₄	—	53	4	no	—
2405	C₂²⋊C₄	—	53	4	no	—
2406	C₂²⋊C₄	—	53	2	no	—
2407	C₂²⋊C₄	—	53	2	no	—
2408	C₂²⋊C₄	—	53	2	no	—
2409	C₂²⋊C₄	—	53	2	no	—
2410	C₂²⋊C₄	—	53	4	no	—
2411	C₂²⋊C₄	—	53	4	no	—
2412	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2413	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2414	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2415	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2416	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2417	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2418	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2419	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2420	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2421	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2422	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2423	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2424	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2425	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2426	C₄²	—	53	2	no	—
2427	C₄²	—	53	2	no	—
2428	C₄²	—	53	2	no	—
2429	C₄²	—	53	2	no	—
2430	C₄²	—	53	2	no	—
2431	C₄²	—	53	2	no	—
2432	C₄²	—	53	2	no	—
2433	C₄²	—	53	2	no	—
2434	C₄²	—	53	2	no	—
2435	C₄²	—	53	2	no	—
2436	C₄²	—	53	2	no	—
2437	C₄²	—	53	2	no	—
2438	C₄²	—	53	4	no	—
2439	C₄²	—	53	4	no	—
2440	C₄²	—	53	4	no	—
2441	C₄²	—	53	4	no	—
2442	C₄²	—	53	4	no	—
2443	C₄²	—	53	4	no	—
2444	C₄²	—	53	4	no	—
2445	C₄²	—	53	4	no	—
2446	C₄²	—	53	4	no	—
2447	C₄²	—	53	2	no	—
2448	C₄²	—	53	2	no	—
2449	C₄²	—	53	2	no	—
2450	C₄²	C₂³×D₅₃	1	2	yes	—
2451	C₄²	C₂³×D₅₃	1	2	yes	—
2452	C₄²	C₂³×D₅₃	1	2	yes	—
2453	C₄²	C₂³×D₅₃	1	2	yes	—
2454	C₄²	C₂³×D₅₃	1	4	yes	—
2455	C₄²	C₂³×D₅₃	1	4	yes	—
2456	C₄²	C₂³×D₅₃	1	4	yes	—
2457	C₄²	C₂³×D₅₃	1	2	yes	—
2458	C₂³	—	2	2	no	—
2459	C₂³	—	2	2	no	—
2460	C₂³	—	4	1	no	—
2461	C₂³	—	53	1	no	—
2462	C₂³	—	53	4	no	—
2463	C₂³	—	53	4	no	—
2464	C₂³	—	53	1	no	—
2465	C₂³	—	53	1	no	—
2466	C₂³	—	53	1	no	—
2467	C₂³	—	53	2	no	—
2468	C₂³	—	106	2	no	—
2469	C₂³	—	106	2	no	—
2470	C₂³	—	106	2	no	—
2471	C₂³	—	106	2	no	—
2472	C₂³	—	106	2	no	—
2473	C₂³	—	106	2	no	—
2474	C₂³	—	106	2	no	—
2475	C₂³	—	106	4	no	—
2476	C₂³	—	106	4	no	—
2477	C₂³	—	106	4	no	—
2478	C₂³	—	106	2	no	—
2479	C₂³	—	106	2	no	—
2480	C₂³	—	106	2	no	—
2481	C₂³	—	106	2	no	—
2482	C₂³	—	106	2	no	—
2483	C₂³	—	106	2	no	—
2484	C₂³	—	212	1	no	—
2485	C₂³	—	212	1	no	—
2486	C₂³	—	212	1	no	—
2487	C₂³	—	212	16	no	—
2488	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2489	C₂³	C₂⁴×D₅₃	1	2	yes	—
2490	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2491	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2492	Q₈	—	2	4	no	—
2493	Q₈	—	2	4	no	—
2494	Q₈	—	2	2	no	—
2495	Q₈	—	4	4	no	—
2496	Q₈	—	106	8	no	—
2497	Q₈	—	106	8	no	—
2498	Q₈	—	106	4	no	—
2499	Q₈	—	106	4	no	—
2500	Q₈	—	106	4	no	—
2501	Q₈	—	106	2	no	—
2502	Q₈	—	212	4	no	—
2503	Q₈	—	212	4	no	—
2504	Q₈	—	212	4	no	—
2505	D₄	—	2	4	no	—
2506	D₄	—	2	4	no	—
2507	D₄	—	2	2	no	—
2508	D₄	—	4	2	no	—
2509	D₄	—	106	4	no	—
2510	D₄	—	106	4	no	—
2511	D₄	—	106	4	no	—
2512	D₄	—	106	4	no	—
2513	D₄	—	106	4	no	—
2514	D₄	—	106	4	no	—
2515	D₄	—	106	4	no	—
2516	D₄	—	106	2	no	—
2517	D₄	—	212	2	no	—
2518	D₄	—	212	2	no	—
2519	D₄	—	212	2	no	—
2520	C₂×C₄	—	2	2	no	—
2521	C₂×C₄	—	2	4	no	—
2522	C₂×C₄	—	2	4	no	—
2523	C₂×C₄	—	2	2	no	—
2524	C₂×C₄	—	2	2	no	—
2525	C₂×C₄	—	2	2	no	—
2526	C₂×C₄	—	2	2	no	—
2527	C₂×C₄	—	2	4	no	—
2528	C₂×C₄	—	4	4	no	—
2529	C₂×C₄	—	4	2	no	—
2530	C₂×C₄	—	4	2	no	—
2531	C₂×C₄	—	53	4	no	—
2532	C₂×C₄	—	53	1	no	—
2533	C₂×C₄	—	53	1	no	—
2534	C₂×C₄	—	53	4	no	—
2535	C₂×C₄	—	53	4	no	—
2536	C₂×C₄	—	53	4	no	—
2537	C₂×C₄	—	53	4	no	—
2538	C₂×C₄	—	53	2	no	—
2539	C₂×C₄	—	53	1	no	—
2540	C₂×C₄	—	53	2	no	—
2541	C₂×C₄	—	53	2	no	—
2542	C₂×C₄	—	53	2	no	—
2543	C₂×C₄	—	53	2	no	—
2544	C₂×C₄	—	53	4	no	—
2545	C₂×C₄	—	53	2	no	—
2546	C₂×C₄	—	53	2	no	—
2547	C₂×C₄	—	53	4	no	—
2548	C₂×C₄	—	53	1	no	—
2549	C₂×C₄	—	106	2	no	—
2550	C₂×C₄	—	106	2	no	—
2551	C₂×C₄	—	106	2	no	—
2552	C₂×C₄	—	106	2	no	—
2553	C₂×C₄	—	106	4	no	—
2554	C₂×C₄	—	106	4	no	—
2555	C₂×C₄	—	106	4	no	—
2556	C₂×C₄	—	106	4	no	—
2557	C₂×C₄	—	106	4	no	—
2558	C₂×C₄	—	106	2	no	—
2559	C₂×C₄	—	106	2	no	—
2560	C₂×C₄	—	106	2	no	—
2561	C₂×C₄	—	106	2	no	—
2562	C₂×C₄	—	106	4	no	—
2563	C₂×C₄	—	106	8	no	—
2564	C₂×C₄	—	106	8	no	—
2565	C₂×C₄	—	106	4	no	—
2566	C₂×C₄	—	106	8	no	—
2567	C₂×C₄	—	106	4	no	—
2568	C₂×C₄	—	106	4	no	—
2569	C₂×C₄	—	106	4	no	—
2570	C₂×C₄	—	106	2	no	—
2571	C₂×C₄	—	106	2	no	—
2572	C₂×C₄	—	106	2	no	—
2573	C₂×C₄	—	106	2	no	—
2574	C₂×C₄	—	106	4	no	—
2575	C₂×C₄	—	106	2	no	—
2576	C₂×C₄	—	106	4	no	—
2577	C₂×C₄	—	106	4	no	—
2578	C₂×C₄	—	106	2	no	—
2579	C₂×C₄	—	106	2	no	—
2580	C₂×C₄	—	106	2	no	—
2581	C₂×C₄	—	106	2	no	—
2582	C₂×C₄	—	106	4	no	—
2583	C₂×C₄	—	212	4	no	—
2584	C₂×C₄	—	212	2	no	—
2585	C₂×C₄	—	212	4	no	—
2586	C₂×C₄	—	212	4	no	—
2587	C₂×C₄	—	212	2	no	—
2588	C₂×C₄	—	212	4	no	—
2589	C₂×C₄	—	212	2	no	—
2590	C₂×C₄	—	212	2	no	—
2591	C₂×C₄	#41×D₅₃	1	4	yes	—
2592	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2593	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2594	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2595	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2596	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2597	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2598	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2599	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2600	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2601	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2602	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2603	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2604	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2605	C₂²	—	2	1	no	—
2606	C₂²	—	2	1	no	—
2607	C₂²	—	2	1	no	—
2608	C₂²	—	2	1	no	—
2609	C₂²	—	2	1	no	—
2610	C₂²	—	2	2	no	—
2611	C₂²	—	2	2	no	—
2612	C₂²	—	2	1	no	—
2613	C₂²	—	2	2	no	—
2614	C₂²	—	2	1	no	—
2615	C₂²	—	4	4	no	—
2616	C₂²	—	53	2	no	—
2617	C₂²	—	53	2	no	—
2618	C₂²	—	53	2	no	—
2619	C₂²	—	53	2	no	—
2620	C₂²	—	53	2	no	—
2621	C₂²	—	106	8	no	—
2622	C₂²	—	106	8	no	—
2623	C₂²	—	106	1	no	—
2624	C₂²	—	106	1	no	—
2625	C₂²	—	106	1	no	—
2626	C₂²	—	106	1	no	—
2627	C₂²	—	106	1	no	—
2628	C₂²	—	106	2	no	—
2629	C₂²	—	106	2	no	—
2630	C₂²	—	106	1	no	—
2631	C₂²	—	106	2	no	—
2632	C₂²	—	106	1	no	—
2633	C₂²	—	212	4	no	—
2634	C₂²	—	212	4	no	—
2635	C₂²	—	212	4	no	—
2636	C₂²	—	212	8	no	—
2637	C₂²	—	212	4	no	—
2638	C₂²	C₂×#41×D₅₃	1	2	yes	—
2639	C₂²	2₋¹⁺⁴×D₅₃	1	2	yes	—
2640	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2641	C₄	—	2	1	no	—
2642	C₄	—	2	1	no	—
2643	C₄	—	2	2	no	—
2644	C₄	—	2	4	no	—
2645	C₄	—	2	2	no	—
2646	C₄	—	2	2	no	—
2647	C₄	—	2	2	no	—
2648	C₄	—	2	2	no	—
2649	C₄	—	2	4	no	—
2650	C₄	—	2	2	no	—
2651	C₄	—	2	2	no	—
2652	C₄	—	53	2	no	—
2653	C₄	—	53	2	no	—
2654	C₄	—	106	1	no	—
2655	C₄	—	106	1	no	—
2656	C₄	—	106	2	no	—
2657	C₄	—	106	4	no	—
2658	C₄	—	106	2	no	—
2659	C₄	—	106	2	no	—
2660	C₄	—	106	2	no	—
2661	C₄	—	106	2	no	—
2662	C₄	—	106	4	no	—
2663	C₄	—	106	2	no	—
2664	C₄	—	106	2	no	—
2665	C₄	C₂×#41×D₅₃	1	2	yes	—
2666	C₄	C₂×#41×D₅₃	1	2	yes	—
2667	C₂	—	2	2	no	—
2668	C₂	—	2	2	no	—
2669	C₂	—	4	1	no	—
2670	C₂	—	4	2	no	—
2671	C₂	—	53	4	no	—
2672	C₂	—	106	2	no	—
2673	C₂	—	106	2	no	—
2674	C₂	—	212	1	no	—
2675	C₂	—	212	2	no	—
2676	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2677	C₂	C₂×2₋¹⁺⁴×D₅₃	1	1	yes	characteristic
2678	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3495	C₂
prime radical	#525×D₅₃	C₂
hypercenter	#3495	D₅₃
hypocenter	C₅₃	C₂×#3495
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3495

Complements

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

N	H ≅ G/N	type
1. #20288470	C₂	semidirect
2. #20288469	C₂	semidirect
3. #20288468	C₂	semidirect
4. #20288467	C₂	semidirect
5. #20288466	C₂	semidirect
6. #20288465	C₂	semidirect
7. #20288464	C₂	semidirect
8. #20288463	C₂	semidirect
9. #20288462	C₂	semidirect
10. #20288461	C₂	semidirect
11. #20288460	C₂	semidirect
12. #20288459	C₂	semidirect
13. #20288458	C₂	semidirect
14. #20288457	C₂	semidirect
15. #20288456	C₂	semidirect
16. #20288455	C₂	semidirect
17. #20288454	C₂	semidirect
18. #556×D₅₃	C₂	semidirect
19. #554×D₅₃	C₂	semidirect
20. #552×D₅₃	C₂	semidirect
21. #552×D₅₃	C₂	semidirect
22. #552×D₅₃	C₂	semidirect
23. #551×D₅₃	C₂	semidirect
24. #544×D₅₃	C₂	semidirect
25. #542×D₅₃	C₂	semidirect
26. #541×D₅₃	C₂	semidirect
27. #536×D₅₃	C₂	semidirect
28. #533×D₅₃	C₂	semidirect
29. #529×D₅₃	C₂	semidirect
31. C₂×C₂²⋊Q₈×D₅₃	C₂	semidirect
32. #520×D₅₃	C₂	semidirect
33. #519×D₅₃	C₂	semidirect
34. C₂×#117×D₅₃	C₂	semidirect
35. C₅₃×#3495	C₂	semidirect
39. #16811347	C₂²	semidirect
40. #16811346	C₂²	semidirect
41. #16811345	C₂²	semidirect
42. #16811344	C₂²	semidirect
43. #16811344	C₂²	semidirect
44. #16811343	C₂²	semidirect
45. #16811342	C₂²	semidirect
46. #16811341	C₂²	semidirect
47. #16811341	C₂²	semidirect
48. #16811340	C₂²	semidirect
49. #16811340	C₂²	semidirect
50. #16811334	C₂²	semidirect
51. #16811333	C₂²	semidirect
52. #16811332	C₂²	semidirect
53. #16811331	C₂²	semidirect
54. #16811331	C₂²	semidirect
55. #16811330	C₂²	semidirect
56. #16811329	C₂²	semidirect
57. #16811328	C₂²	semidirect
58. #16811328	C₂²	semidirect
59. #16811327	C₂²	semidirect
60. #16811327	C₂²	semidirect
61. #16811315	C₂²	semidirect
62. #16811315	C₂²	semidirect
63. #16811315	C₂²	semidirect
64. #16811314	C₂²	semidirect
65. #16811314	C₂²	semidirect
66. #16811314	C₂²	semidirect
67. #16811313	C₂²	semidirect
68. #16811313	C₂²	semidirect
69. #16811313	C₂²	semidirect
70. #16811312	C₂²	semidirect
71. #16811312	C₂²	semidirect
72. #16811312	C₂²	semidirect
73. #16811311	C₂²	semidirect
74. #16811311	C₂²	semidirect
75. #16811311	C₂²	semidirect
76. #16811310	C₂²	semidirect
77. #16811310	C₂²	semidirect
78. #16811310	C₂²	semidirect
79. #16811310	C₂²	semidirect
80. #16811309	C₂²	semidirect
81. #16811309	C₂²	semidirect
82. #16811309	C₂²	semidirect
83. #16811309	C₂²	semidirect
84. #16811308	C₂²	semidirect
85. #16811308	C₂²	semidirect
86. #16811308	C₂²	semidirect
87. #16811307	C₂²	semidirect
88. #16811307	C₂²	semidirect
89. #16811307	C₂²	semidirect
90. #16811306	C₂²	semidirect
91. #16811306	C₂²	semidirect
92. #16811306	C₂²	semidirect
93. #16811306	C₂²	semidirect
94. #16811305	C₂²	semidirect
95. #16811305	C₂²	semidirect
96. #16811305	C₂²	semidirect
97. #16811305	C₂²	semidirect
98. #16811304	C₂²	semidirect
99. #16811303	C₂²	semidirect
100. #16811302	C₂²	semidirect
101. #16811302	C₂²	semidirect
102. #16811301	C₂²	semidirect
103. #16811300	C₂²	semidirect
104. #16811300	C₂²	semidirect
105. #16811299	C₂²	semidirect
106. #16811299	C₂²	semidirect
107. #16811298	C₂²	semidirect
108. #16811298	C₂²	semidirect
109. #16811297	C₂²	semidirect
110. #16811297	C₂²	semidirect
111. #16811296	C₂²	semidirect
112. #16811296	C₂²	semidirect
113. #16811254	C₂²	semidirect
114. #16811253	C₂²	semidirect
115. #16811253	C₂²	semidirect
116. #16811252	C₂²	semidirect
117. #16811251	C₂²	semidirect
118. #16811251	C₂²	semidirect
119. #16811250	C₂²	semidirect
120. #16811250	C₂²	semidirect
121. #16811247	C₂²	semidirect
122. #16811246	C₂²	semidirect
123. #16811245	C₂²	semidirect
124. #16811244	C₂²	semidirect
125. #16811243	C₂²	semidirect
126. #16811242	C₂²	semidirect
127. #16811241	C₂²	semidirect
128. #16811240	C₂²	semidirect
129. #16811239	C₂²	semidirect
130. #16811238	C₂²	semidirect
131. #16811237	C₂²	semidirect
132. #16811236	C₂²	semidirect
133. #16811235	C₂²	semidirect
134. #16811234	C₂²	semidirect
135. #16811233	C₂²	semidirect
136. #16811233	C₂²	semidirect
137. #16811232	C₂²	semidirect
138. #16811232	C₂²	semidirect
139. #16811231	C₂²	semidirect
140. #16811231	C₂²	semidirect
141. #16811230	C₂²	semidirect
142. #16811230	C₂²	semidirect
143. #16811199	C₂²	semidirect
144. #16811198	C₂²	semidirect
145. #16811197	C₂²	semidirect
146. #16811196	C₂²	semidirect
147. #16811196	C₂²	semidirect
148. #16811195	C₂²	semidirect
149. #16811194	C₂²	semidirect
150. #16811193	C₂²	semidirect
151. #16811180	C₂²	semidirect
152. #16811179	C₂²	semidirect
153. #16811178	C₂²	semidirect
154. #16811178	C₂²	semidirect
155. #16811177	C₂²	semidirect
156. #16811177	C₂²	semidirect
157. #16811177	C₂²	semidirect
158. #16811176	C₂²	semidirect
159. #16811175	C₂²	semidirect
160. #16811175	C₂²	semidirect
161. #16811175	C₂²	semidirect
162. C₄⋊Q₈×D₅₃	C₂²	semidirect
163. C₄⋊Q₈×D₅₃	C₂²	semidirect
164. C₄⋊Q₈×D₅₃	C₂²	semidirect
165. #16811160	C₂²	semidirect
166. #16811159	C₂²	semidirect
167. #16811158	C₂²	semidirect
168. #16811157	C₂²	semidirect
169. #16811156	C₂²	semidirect
170. #16811155	C₂²	semidirect
171. #16811154	C₂²	semidirect
172. #16811153	C₂²	semidirect
173. #16811152	C₂²	semidirect
174. #16811151	C₂²	semidirect
175. #16811150	C₂²	semidirect
178. #126×D₅₃	C₂²	semidirect
179. #126×D₅₃	C₂²	semidirect
180. #125×D₅₃	C₂²	semidirect
181. #125×D₅₃	C₂²	semidirect
182. #125×D₅₃	C₂²	semidirect
183. #125×D₅₃	C₂²	semidirect
184. #125×D₅₃	C₂²	semidirect
186. #124×D₅₃	C₂²	semidirect
202. C₂×#13133197	C₂²	semidirect
203. C₂×#13133196	C₂²	semidirect
204. C₂×#13133195	C₂²	semidirect
205. C₂×#13133194	C₂²	semidirect
206. 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
225. #16811106	C₂²	semidirect
226. #16811105	C₂²	semidirect
227. #16811104	C₂²	semidirect
228. #16811104	C₂²	semidirect
229. #16811103	C₂²	semidirect
230. #16811103	C₂²	semidirect
231. #16811102	C₂²	semidirect
232. #16811102	C₂²	semidirect
233. #16811101	C₂²	semidirect
234. #16811100	C₂²	semidirect
235. #16811100	C₂²	semidirect
236. #16811100	C₂²	semidirect
237. #16811099	C₂²	semidirect
238. #16811099	C₂²	semidirect
239. #16811099	C₂²	semidirect
240. #16811099	C₂²	semidirect
241. C₄×Q₈×D₅₃	C₂²	semidirect
242. C₄×Q₈×D₅₃	C₂²	semidirect
243. C₄×Q₈×D₅₃	C₂²	semidirect
244. C₄×Q₈×D₅₃	C₂²	semidirect
245. C₄×Q₈×D₅₃	C₂²	semidirect
246. C₄×Q₈×D₅₃	C₂²	semidirect
251. C₄×D₄×D₅₃	C₂²	semidirect
252. C₂×#13133176	C₂²	semidirect
253. C₂×#13133175	C₂²	semidirect
254. C₂×#13133175	C₂²	semidirect
255. C₂×#13133174	C₂²	semidirect
256. C₂×#13133173	C₂²	semidirect
266. #117×D₅₃	C₂²	semidirect
267. #117×D₅₃	C₂²	semidirect
268. #117×D₅₃	C₂²	semidirect
269. #117×D₅₃	C₂²	semidirect
270. #117×D₅₃	C₂²	semidirect
271. #117×D₅₃	C₂²	semidirect
272. #117×D₅₃	C₂²	semidirect
273. #117×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×#552	C₂²	semidirect
286. C₅₃×#552	C₂²	semidirect
287. C₅₃×#551	C₂²	semidirect
288. C₅₃×#544	C₂²	semidirect
289. C₅₃×#542	C₂²	semidirect
290. C₅₃×#541	C₂²	semidirect
291. C₅₃×#536	C₂²	semidirect
292. C₅₃×#533	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
295. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
296. C₅₃×#520	C₂²	semidirect
297. C₅₃×#519	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
339. #13133217	C₂³	semidirect
340. #13133217	C₂³	semidirect
341. #13133217	C₂³	semidirect
342. #13133216	C₂³	semidirect
343. #13133216	C₂³	semidirect
344. #13133216	C₂³	semidirect
345. #13133216	C₂³	semidirect
346. #13133216	C₂³	semidirect
347. #13133216	C₂³	semidirect
348. #13133216	C₂³	semidirect
349. #13133216	C₂³	semidirect
350. #13133215	C₂³	semidirect
351. #13133215	C₂³	semidirect
352. #13133215	C₂³	semidirect
353. #13133215	C₂³	semidirect
360. #13133212	C₂³	semidirect
361. #13133212	C₂³	semidirect
362. #13133212	C₂³	semidirect
363. #13133212	C₂³	semidirect
364. #13133212	C₂³	semidirect
365. #13133212	C₂³	semidirect
368. #13133211	C₂³	semidirect
369. #13133211	C₂³	semidirect
376. #13133210	C₂³	semidirect
377. #13133210	C₂³	semidirect
378. #13133210	C₂³	semidirect
379. #13133210	C₂³	semidirect
380. #13133210	C₂³	semidirect
381. #13133210	C₂³	semidirect
382. #13133209	C₂³	semidirect
383. #13133209	C₂³	semidirect
384. #13133209	C₂³	semidirect
385. #13133209	C₂³	semidirect
386. #13133209	C₂³	semidirect
387. #13133208	C₂³	semidirect
388. #13133208	C₂³	semidirect
389. #13133208	C₂³	semidirect
390. #13133208	C₂³	semidirect
391. #13133208	C₂³	semidirect
392. #13133208	C₂³	semidirect
393. #13133208	C₂³	semidirect
394. #13133208	C₂³	semidirect
395. #13133208	C₂³	semidirect
396. #13133208	C₂³	semidirect
397. #13133207	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
406. #13133207	C₂³	semidirect
407. #13133207	C₂³	semidirect
408. #13133207	C₂³	semidirect
409. #13133207	C₂³	semidirect
410. #13133207	C₂³	semidirect
411. #13133207	C₂³	semidirect
412. #13133207	C₂³	semidirect
414. #13133206	C₂³	semidirect
416. #13133205	C₂³	semidirect
418. #13133204	C₂³	semidirect
423. #13133203	C₂³	semidirect
424. #13133203	C₂³	semidirect
461. #13133197	C₂³	semidirect
462. #13133197	C₂³	semidirect
463. #13133197	C₂³	semidirect
472. #13133196	C₂³	semidirect
473. #13133196	C₂³	semidirect
474. #13133196	C₂³	semidirect
485. #13133195	C₂³	semidirect
486. #13133195	C₂³	semidirect
487. #13133195	C₂³	semidirect
488. #13133195	C₂³	semidirect
499. #13133194	C₂³	semidirect
500. #13133194	C₂³	semidirect
501. #13133194	C₂³	semidirect
502. #13133194	C₂³	semidirect
511. #13133193	C₂³	semidirect
512. #13133193	C₂³	semidirect
513. #13133193	C₂³	semidirect
531. Q₈×Dic₅₃	C₂³	semidirect
532. Q₈×Dic₅₃	C₂³	semidirect
533. Q₈×Dic₅₃	C₂³	semidirect
534. Q₈×Dic₅₃	C₂³	semidirect
535. Q₈×Dic₅₃	C₂³	semidirect
536. Q₈×Dic₅₃	C₂³	semidirect
537. C₄×Dic₁₀₆	C₂³	semidirect
538. C₄×Dic₁₀₆	C₂³	semidirect
539. C₄×Dic₁₀₆	C₂³	semidirect
540. C₄×Dic₁₀₆	C₂³	semidirect
541. C₄×Dic₁₀₆	C₂³	semidirect
542. C₄×Dic₁₀₆	C₂³	semidirect
543. C₄×Dic₁₀₆	C₂³	semidirect
544. C₄×Dic₁₀₆	C₂³	semidirect
545. C₄×Dic₁₀₆	C₂³	semidirect
546. C₄×Dic₁₀₆	C₂³	semidirect
547. C₄×Dic₁₀₆	C₂³	semidirect
548. C₄×Dic₁₀₆	C₂³	semidirect
549. C₄×Dic₁₀₆	C₂³	semidirect
550. #13133182	C₂³	semidirect
551. #13133182	C₂³	semidirect
552. #13133182	C₂³	semidirect
553. #13133182	C₂³	semidirect
554. #13133182	C₂³	semidirect
555. #13133182	C₂³	semidirect
556. #13133182	C₂³	semidirect
557. #13133182	C₂³	semidirect
558. #13133182	C₂³	semidirect
559. #13133182	C₂³	semidirect
560. #13133182	C₂³	semidirect
561. #13133182	C₂³	semidirect
562. #13133182	C₂³	semidirect
567. C₄×D₂₁₂	C₂³	semidirect
572. D₄×Dic₅₃	C₂³	semidirect
577. #13133179	C₂³	semidirect
586. C₄×C₂²⋊D₅₃	C₂³	semidirect
595. #13133177	C₂³	semidirect
605. #13133176	C₂³	semidirect
606. #13133176	C₂³	semidirect
625. #13133175	C₂³	semidirect
626. #13133175	C₂³	semidirect
627. #13133175	C₂³	semidirect
628. #13133175	C₂³	semidirect
642. #13133174	C₂³	semidirect
643. #13133174	C₂³	semidirect
644. #13133174	C₂³	semidirect
658. #13133173	C₂³	semidirect
659. #13133173	C₂³	semidirect
660. #13133173	C₂³	semidirect
665. C₂×C₄⋊Dic₅₃	C₂³	semidirect
671. C₂×#11719919	C₂³	semidirect
704. C₄⋊C₄×D₅₃	C₂³	semidirect
705. C₄⋊C₄×D₅₃	C₂³	semidirect
706. C₄⋊C₄×D₅₃	C₂³	semidirect
751. C₄⋊Q₈×C₅₃	C₂³	semidirect
752. C₄⋊Q₈×C₅₃	C₂³	semidirect
753. C₄⋊Q₈×C₅₃	C₂³	semidirect
756. #126×C₅₃	C₂³	semidirect
757. #126×C₅₃	C₂³	semidirect
758. #125×C₅₃	C₂³	semidirect
759. #125×C₅₃	C₂³	semidirect
760. #125×C₅₃	C₂³	semidirect
761. #125×C₅₃	C₂³	semidirect
762. #125×C₅₃	C₂³	semidirect
764. #124×C₅₃	C₂³	semidirect
777. C₂²⋊Q₈×C₅₃	C₂³	semidirect
778. C₂²⋊Q₈×C₅₃	C₂³	semidirect
779. C₂²⋊Q₈×C₅₃	C₂³	semidirect
783. C₄×Q₈×C₅₃	C₂³	semidirect
784. C₄×Q₈×C₅₃	C₂³	semidirect
785. C₄×Q₈×C₅₃	C₂³	semidirect
786. C₄×Q₈×C₅₃	C₂³	semidirect
787. C₄×Q₈×C₅₃	C₂³	semidirect
788. C₄×Q₈×C₅₃	C₂³	semidirect
793. C₄×D₄×C₅₃	C₂³	semidirect
803. #117×C₅₃	C₂³	semidirect
804. #117×C₅₃	C₂³	semidirect
809. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
1345. #3495	D₅₃	direct (N × H)
1374. D₅₃	#3495	direct (N × H)
1389. #556	C₂×D₅₃	semidirect
1401. #554	C₂×D₅₃	semidirect
1439. #552	C₂×D₅₃	semidirect
1440. #552	C₂×D₅₃	semidirect
1441. #552	C₂×D₅₃	semidirect
1457. #551	C₂×D₅₃	semidirect
1466. #544	C₂×D₅₃	semidirect
1478. #542	C₂×D₅₃	semidirect
1490. #541	C₂×D₅₃	semidirect
1499. #536	C₂×D₅₃	semidirect
1511. #533	C₂×D₅₃	semidirect
1526. #529	C₂×D₅₃	semidirect
1574. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1586. #520	C₂×D₅₃	semidirect
1595. #519	C₂×D₅₃	semidirect
1629. C₂×#117	C₂×D₅₃	semidirect
1638. C₅₃	C₂×#3495	semidirect
1697. C₄⋊Q₈	C₂²×D₅₃	semidirect
1698. C₄⋊Q₈	C₂²×D₅₃	semidirect
1699. C₄⋊Q₈	C₂²×D₅₃	semidirect
1730. #126	C₂²×D₅₃	semidirect
1731. #126	C₂²×D₅₃	semidirect
1763. #125	C₂²×D₅₃	semidirect
1764. #125	C₂²×D₅₃	semidirect
1765. #125	C₂²×D₅₃	semidirect
1766. #125	C₂²×D₅₃	semidirect
1767. #125	C₂²×D₅₃	semidirect
1781. #124	C₂²×D₅₃	semidirect
1883. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1884. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1885. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1938. C₄×Q₈	C₂²×D₅₃	semidirect
1939. C₄×Q₈	C₂²×D₅₃	semidirect
1940. C₄×Q₈	C₂²×D₅₃	semidirect
1941. C₄×Q₈	C₂²×D₅₃	semidirect
1942. C₄×Q₈	C₂²×D₅₃	semidirect
1943. C₄×Q₈	C₂²×D₅₃	semidirect
1981. C₄×D₄	C₂²×D₅₃	semidirect
2056. #117	C₂²×D₅₃	semidirect
2057. #117	C₂²×D₅₃	semidirect
2108. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288470	2
#20288469	2
#20288468	2
#20288467	2
#20288466	2
#20288465	2
#20288464	2
#20288463	2
#20288462	2
#20288461	2
#20288460	2
#20288459	2
#20288458	2
#20288457	2
#20288456	2
#20288455	2
#20288454	2
#556×D₅₃	2
#554×D₅₃	2
#552×D₅₃	2
#551×D₅₃	2
#544×D₅₃	2
#542×D₅₃	2
#541×D₅₃	2
#536×D₅₃	2
#533×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₂×C₂²⋊Q₈×D₅₃	2
#520×D₅₃	2
#519×D₅₃	2
C₂×#117×D₅₃	2
C₅₃×#3495	2
C₂×#3495	53

Subgroups — D53×#3495 #28292508

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3495 #28292508