Subgroups — #28292750

Order 13568.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288925	C₂	1	2	yes	maximal, complemented
2	#20288921	C₂	1	2	yes	maximal, complemented
3	#20288919	C₂	1	4	yes	maximal, complemented
4	#20288910	C₂	1	2	yes	maximal, complemented
5	#20288894	C₂	1	2	yes	maximal, complemented
6	#20288892	C₂	1	4	yes	maximal, complemented
7	#20288885	C₂	1	4	yes	maximal, complemented
8	#20288881	C₂	1	4	yes	maximal, complemented
9	#20288658	C₂	1	4	yes	maximal, complemented
10	#20288657	C₂	1	4	yes	maximal, complemented
11	#20288646	C₂	1	4	yes	maximal, complemented
12	#20288645	C₂	1	4	yes	maximal, complemented
13	#20288424	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288416	C₂	1	2	yes	maximal, complemented
15	#20288410	C₂	1	4	yes	maximal, complemented
16	#20288398	C₂	1	2	yes	maximal, complemented
17	#20288398	C₂	1	2	yes	maximal, complemented
18	#20288398	C₂	1	2	yes	maximal, complemented
19	#20288354	C₂	1	4	yes	maximal, complemented
20	#20288348	C₂	1	2	yes	maximal, complemented
21	#525×D₅₃	C₂	1	2	yes	maximal, complemented
22	C₂²×#13133202	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13133263	C₂²	1	2	yes	complemented
25	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
26	C₂³×D₂₁₂	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
28	#16811377	C₂²	1	4	yes	complemented
29	#16811372	C₂²	1	4	yes	complemented
30	#16811371	C₂²	1	4	yes	complemented
31	#16811370	C₂²	1	4	yes	complemented
32	#16811369	C₂²	1	4	yes	complemented
33	#16811369	C₂²	1	4	yes	complemented
34	#16811364	C₂²	1	4	yes	complemented
35	#16811361	C₂²	1	4	yes	complemented
36	#16811358	C₂²	1	4	yes	complemented
37	#16811357	C₂²	1	4	yes	complemented
38	#16811332	C₂²	1	4	yes	complemented
39	#16811328	C₂²	1	4	yes	complemented
40	#16811327	C₂²	1	4	yes	complemented
41	#16811326	C₂²	1	4	yes	complemented
42	#16811324	C₂²	1	4	yes	complemented
43	#16811322	C₂²	1	4	yes	complemented
44	#16811322	C₂²	1	4	yes	complemented
45	#16811321	C₂²	1	4	yes	complemented
46	#16811321	C₂²	1	4	yes	complemented
47	#16811316	C₂²	1	4	yes	complemented
48	#16811314	C₂²	1	4	yes	complemented
49	#16811311	C₂²	1	4	yes	complemented
50	#16811310	C₂²	1	4	yes	complemented
51	#16811308	C₂²	1	4	yes	complemented
52	#16811306	C₂²	1	4	yes	complemented
53	#16811305	C₂²	1	4	yes	complemented
54	#16811305	C₂²	1	4	yes	complemented
55	#16811302	C₂²	1	4	yes	complemented
56	#16811302	C₂²	1	4	yes	complemented
57	#16811302	C₂²	1	4	yes	complemented
58	#16811300	C₂²	1	4	yes	complemented
59	#16811300	C₂²	1	4	yes	complemented
60	#16811300	C₂²	1	4	yes	complemented
61	#16811300	C₂²	1	4	yes	complemented
62	#16811300	C₂²	1	4	yes	complemented
63	#16811298	C₂²	1	4	yes	complemented
64	#16811298	C₂²	1	4	yes	complemented
65	#16811297	C₂²	1	4	yes	complemented
66	#16811297	C₂²	1	4	yes	complemented
67	#16811297	C₂²	1	4	yes	complemented
68	#16811297	C₂²	1	4	yes	complemented
69	#16811297	C₂²	1	4	yes	complemented
70	#16811296	C₂²	1	4	yes	complemented
71	#16811296	C₂²	1	4	yes	complemented
72	#16811296	C₂²	1	4	yes	complemented
73	#16811276	C₂²	1	4	yes	complemented
74	#16811275	C₂²	1	4	yes	complemented
75	#16811274	C₂²	1	4	yes	complemented
76	#16811274	C₂²	1	4	yes	complemented
77	#16811272	C₂²	1	4	yes	complemented
78	#16811271	C₂²	1	4	yes	complemented
79	#16811271	C₂²	1	4	yes	complemented
80	#16811269	C₂²	1	4	yes	complemented
81	#16811269	C₂²	1	4	yes	complemented
82	#16811269	C₂²	1	4	yes	complemented
83	#16811268	C₂²	1	4	yes	complemented
84	#16811268	C₂²	1	4	yes	complemented
85	#16811268	C₂²	1	4	yes	complemented
86	#16811265	C₂²	1	4	yes	complemented
87	#16811265	C₂²	1	4	yes	complemented
88	#16811265	C₂²	1	4	yes	complemented
89	#16811265	C₂²	1	4	yes	complemented
90	#16811264	C₂²	1	4	yes	complemented
91	#16811264	C₂²	1	4	yes	complemented
92	#16811264	C₂²	1	4	yes	complemented
93	#16811262	C₂²	1	4	yes	complemented
94	#16811262	C₂²	1	4	yes	complemented
95	#16811262	C₂²	1	4	yes	complemented
96	#16811262	C₂²	1	4	yes	complemented
97	#16811261	C₂²	1	4	yes	complemented
98	#16811261	C₂²	1	4	yes	complemented
99	#16811261	C₂²	1	4	yes	complemented
100	D₄×D₂₁₂	C₂²	1	4	yes	complemented
101	D₄×D₂₁₂	C₂²	1	4	yes	complemented
102	#16811257	C₂²	1	4	yes	complemented
103	#16811257	C₂²	1	4	yes	complemented
104	#16811254	C₂²	1	1	yes	characteristic, complemented
105	#16811252	C₂²	1	2	yes	complemented
106	#16811248	C₂²	1	2	yes	complemented
107	#16811248	C₂²	1	2	yes	complemented
108	#16811248	C₂²	1	2	yes	complemented
109	#16811247	C₂²	1	4	yes	complemented
110	#16811245	C₂²	1	4	yes	complemented
111	#16811243	C₂²	1	4	yes	complemented
112	#16811239	C₂²	1	4	yes	complemented
113	#16811229	C₂²	1	4	yes	complemented
114	#16811228	C₂²	1	4	yes	complemented
115	#16811225	C₂²	1	4	yes	complemented
116	#16811223	C₂²	1	4	yes	complemented
117	#16811222	C₂²	1	2	yes	complemented
118	#16811222	C₂²	1	4	yes	complemented
119	#16811221	C₂²	1	4	yes	complemented
120	#16811221	C₂²	1	4	yes	complemented
121	#16811221	C₂²	1	4	yes	complemented
122	#16811221	C₂²	1	4	yes	complemented
123	#16811220	C₂²	1	2	yes	complemented
124	#16811220	C₂²	1	2	yes	complemented
125	#16811220	C₂²	1	4	yes	complemented
126	#16811219	C₂²	1	4	yes	complemented
127	#16811218	C₂²	1	2	yes	complemented
128	#16811215	C₂²	1	4	yes	complemented
129	#16811214	C₂²	1	4	yes	complemented
130	#16811213	C₂²	1	2	yes	complemented
131	#16811213	C₂²	1	2	yes	complemented
132	#16811213	C₂²	1	2	yes	complemented
133	#16811213	C₂²	1	4	yes	complemented
134	#16811212	C₂²	1	4	yes	complemented
135	#16811210	C₂²	1	2	yes	complemented
136	#16811210	C₂²	1	2	yes	complemented
137	#16811210	C₂²	1	2	yes	complemented
138	#16811209	C₂²	1	4	yes	complemented
139	#16811206	C₂²	1	4	yes	complemented
140	#16811206	C₂²	1	4	yes	complemented
141	#16811206	C₂²	1	4	yes	complemented
142	#16811206	C₂²	1	4	yes	complemented
143	#16811204	C₂²	1	1	yes	characteristic, complemented
144	#16811200	C₂²	1	2	yes	complemented
145	#16811198	C₂²	1	4	yes	complemented
146	#16811196	C₂²	1	4	yes	complemented
147	#16811192	C₂²	1	2	yes	complemented
148	#16811187	C₂²	1	2	yes	complemented
149	#16811184	C₂²	1	4	yes	—
150	#16811184	C₂²	1	4	yes	complemented
151	#16811184	C₂²	1	4	yes	complemented
152	#16811181	C₂²	1	2	yes	complemented
153	#16811181	C₂²	1	2	yes	complemented
154	#16811181	C₂²	1	2	yes	complemented
155	#16811181	C₂²	1	4	yes	complemented
156	#16811160	C₂²	1	4	yes	complemented
157	#16811158	C₂²	1	4	yes	complemented
158	#16811156	C₂²	1	4	yes	complemented
159	#16811151	C₂²	1	4	yes	complemented
160	#16811136	C₂²	1	2	yes	complemented
161	#16811136	C₂²	1	2	yes	complemented
162	#16811136	C₂²	1	4	yes	complemented
163	#16811135	C₂²	1	2	yes	complemented
164	#16811134	C₂²	1	2	yes	complemented
165	#16811134	C₂²	1	2	yes	complemented
166	#16811134	C₂²	1	2	yes	complemented
167	#16811133	C₂²	1	2	yes	complemented
168	#16811133	C₂²	1	2	yes	complemented
169	#16811132	C₂²	1	4	yes	complemented
170	#16811132	C₂²	1	4	yes	complemented
171	#16811132	C₂²	1	4	yes	complemented
172	#16811131	C₂²	1	4	yes	complemented
173	#16811130	C₂²	1	2	yes	complemented
174	#16811129	C₂²	1	4	yes	complemented
175	#16811129	C₂²	1	4	yes	complemented
176	C₂×#13133202	C₂²	1	4	yes	complemented
177	C₂×#13133202	C₂²	1	4	yes	complemented
178	C₂×#13133202	C₂²	1	4	yes	complemented
179	C₂×#13133202	C₂²	1	2	yes	complemented
180	C₂×#13133202	C₂²	1	2	yes	complemented
181	C₂×#13133202	C₂²	1	4	yes	complemented
182	C₂×#13133202	C₂²	1	2	yes	complemented
183	C₂×#13133202	C₂²	1	2	yes	complemented
184	C₂×#13133202	C₂²	1	4	yes	complemented
185	#123×D₅₃	C₂²	1	4	yes	complemented
186	#123×D₅₃	C₂²	1	4	yes	complemented
187	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
188	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
189	#121×D₅₃	C₂²	1	2	yes	complemented
190	#121×D₅₃	C₂²	1	2	yes	complemented
191	#120×D₅₃	C₂²	1	4	yes	complemented
192	#120×D₅₃	C₂²	1	4	yes	complemented
193	#16811104	C₂²	1	2	yes	complemented
194	#16811102	C₂²	1	4	yes	complemented
195	#16811097	C₂²	1	2	yes	complemented
196	#16811095	C₂²	1	4	yes	complemented
197	#16811095	C₂²	1	4	yes	complemented
198	#16811095	C₂²	1	4	yes	complemented
199	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
200	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
201	#117×D₅₃	C₂²	1	2	yes	complemented
202	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
203	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
204	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
205	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
206	C₅₃×#554	C₂²	1	4	yes	complemented
207	C₅₃×#553	C₂²	1	4	yes	complemented
208	C₅₃×#552	C₂²	1	4	yes	complemented
209	C₅₃×#547	C₂²	1	4	yes	complemented
210	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
211	C₅₃×#539	C₂²	1	2	yes	complemented
212	C₅₃×#539	C₂²	1	2	yes	complemented
213	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
214	C₅₃×#525	C₂²	1	2	yes	complemented
215	C₅₃×#525	C₂²	1	2	yes	complemented
216	C₅₃×#525	C₂²	1	2	yes	complemented
217	C₅₃×#520	C₂²	1	2	yes	complemented
218	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
221	#13133263	—	4	8	no	—
222	C₂×#11719949	C₂³	1	4	yes	—
223	C₂×#11719949	C₂³	1	2	yes	complemented
224	C₂×#11719945	C₂³	1	2	yes	—
225	C₂×#11719945	C₂³	1	2	yes	—
226	C₂×#11719945	C₂³	1	4	yes	—
227	C₂×#11719945	C₂³	1	2	yes	—
228	C₂×#11719945	C₂³	1	4	yes	complemented
229	C₂×#11719947	C₂³	1	4	yes	—
230	C₂×#11719947	C₂³	1	4	yes	—
231	C₂×#11719947	C₂³	1	2	yes	complemented
232	#41×D₅₃	—	4	8	no	—
233	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
234	C₂²×D₂₁₂	—	4	4	no	—
235	C₂²×D₂₁₂	C₂³	1	2	yes	—
236	C₂²×D₂₁₂	C₂³	1	2	yes	—
237	C₂²×D₂₁₂	C₂³	1	4	yes	—
238	C₂²×D₂₁₂	C₂³	1	4	yes	—
239	C₂²×D₂₁₂	C₂³	1	2	yes	—
240	C₂²×D₂₁₂	C₂³	1	2	yes	—
241	C₂×D₄×D₅₃	C₂³	1	4	yes	—
242	C₂×D₄×D₅₃	C₂³	1	4	yes	—
243	C₂×D₄×D₅₃	C₂³	1	4	yes	—
244	C₂×D₄×D₅₃	C₂³	1	4	yes	—
245	C₂×D₄×D₅₃	C₂³	1	4	yes	—
246	C₂×D₄×D₅₃	C₂³	1	4	yes	—
247	C₂×D₄×D₅₃	C₂³	1	4	yes	—
248	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
249	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
250	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₅₃	—	4	4	no	—
252	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
253	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
254	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
255	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
256	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
257	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
258	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
259	#13133216	C₂³	1	4	yes	complemented
260	#13133216	C₂³	1	4	yes	complemented
261	#13133215	C₂³	1	4	yes	complemented
262	#13133214	C₂³	1	4	yes	—
263	#13133213	C₂³	1	4	yes	—
264	#13133212	C₂³	1	4	yes	complemented
265	#13133212	C₂³	1	4	yes	complemented
266	#13133212	C₂³	1	4	yes	complemented
267	#13133212	C₂³	1	4	yes	complemented
268	#13133212	C₂³	1	4	yes	complemented
269	#13133212	C₂³	1	4	yes	complemented
270	#13133212	C₂³	1	4	yes	complemented
271	#13133212	C₂³	1	4	yes	complemented
272	#13133212	C₂³	1	4	yes	complemented
273	#13133212	C₂³	1	4	yes	complemented
274	#13133212	C₂³	1	4	yes	complemented
275	#13133212	C₂³	1	4	yes	complemented
276	#13133211	C₂³	1	4	yes	complemented
277	#13133211	C₂³	1	4	yes	complemented
278	#13133211	C₂³	1	4	yes	complemented
279	#13133211	C₂³	1	4	yes	complemented
280	#13133210	C₂³	1	4	yes	complemented
281	#13133210	C₂³	1	4	yes	complemented
282	#13133209	C₂³	1	4	yes	complemented
283	#13133208	C₂³	1	4	yes	complemented
284	#13133208	C₂³	1	4	yes	complemented
285	#13133207	C₂³	1	4	yes	complemented
286	#13133207	C₂³	1	4	yes	complemented
287	#13133207	C₂³	1	4	yes	complemented
288	#13133207	C₂³	1	4	yes	complemented
289	#13133207	C₂³	1	4	yes	complemented
290	#13133207	C₂³	1	4	yes	complemented
291	#13133206	C₂³	1	4	yes	—
292	#13133206	C₂³	1	4	yes	complemented
293	#13133206	C₂³	1	4	yes	complemented
294	#13133206	C₂³	1	4	yes	complemented
295	#13133205	C₂³	1	4	yes	—
296	#13133205	C₂³	1	4	yes	complemented
297	#13133205	C₂³	1	4	yes	complemented
298	#13133205	C₂³	1	4	yes	complemented
299	#13133203	C₂³	1	4	yes	complemented
300	#13133203	C₂³	1	4	yes	complemented
301	#13133203	C₂³	1	4	yes	complemented
302	#13133203	C₂³	1	4	yes	complemented
303	#13133203	C₂³	1	4	yes	complemented
304	#13133203	C₂³	1	4	yes	complemented
305	#13133202	C₂³	1	4	yes	—
306	#13133202	C₂³	1	4	yes	—
307	#13133202	C₂³	1	4	yes	—
308	#13133202	C₂³	1	4	yes	—
309	#13133202	C₂³	1	4	yes	—
310	#13133202	C₂³	1	4	yes	—
311	#13133202	C₂³	1	4	yes	—
312	#13133202	C₂³	1	4	yes	—
313	#13133202	C₂³	1	4	yes	—
314	#13133202	C₂³	1	4	yes	—
315	#13133202	C₂³	1	4	yes	—
316	#13133202	C₂³	1	4	yes	—
317	#13133202	C₂³	1	4	yes	—
318	#13133202	C₂³	1	4	yes	—
319	#13133202	C₂³	1	4	yes	—
320	#13133202	C₂³	1	4	yes	—
321	#13133202	C₂³	1	4	yes	—
322	#13133202	C₂³	1	4	yes	—
323	#13133202	C₂³	1	4	yes	—
324	#13133202	C₂³	1	4	yes	—
325	#13133202	C₂³	1	4	yes	complemented
326	#13133202	C₂³	1	4	yes	complemented
327	#13133202	C₂³	1	4	yes	complemented
328	#13133202	C₂³	1	4	yes	complemented
329	#13133202	C₂³	1	4	yes	complemented
330	#13133202	C₂³	1	4	yes	complemented
331	#13133202	C₂³	1	4	yes	complemented
332	#13133202	C₂³	1	4	yes	complemented
333	#13133202	C₂³	1	4	yes	complemented
334	#13133202	C₂³	1	4	yes	complemented
335	#13133202	C₂³	1	4	yes	complemented
336	#13133202	C₂³	1	4	yes	complemented
337	#13133202	C₂³	1	4	yes	complemented
338	#13133202	C₂³	1	4	yes	complemented
339	#13133201	C₂³	1	4	yes	—
340	#13133201	C₂³	1	4	yes	—
341	#13133201	C₂³	1	4	yes	complemented
342	#13133201	C₂³	1	4	yes	complemented
343	#13133201	C₂³	1	4	yes	complemented
344	#13133200	C₂³	1	4	yes	—
345	#13133200	C₂³	1	4	yes	—
346	#13133200	C₂³	1	4	yes	—
347	#13133200	C₂³	1	4	yes	complemented
348	#13133200	C₂³	1	4	yes	complemented
349	#13133200	C₂³	1	4	yes	complemented
350	#13133200	C₂³	1	4	yes	complemented
351	#13133199	C₂³	1	4	yes	complemented
352	#13133199	C₂³	1	4	yes	complemented
353	#13133199	C₂³	1	4	yes	complemented
354	#13133199	C₂³	1	4	yes	complemented
355	#13133199	C₂³	1	4	yes	complemented
356	#13133199	C₂³	1	4	yes	complemented
357	#13133198	C₂³	1	4	yes	—
358	#13133198	C₂³	1	4	yes	—
359	#13133198	C₂³	1	4	yes	complemented
360	#13133197	C₂³	1	4	yes	complemented
361	#13133197	C₂³	1	4	yes	complemented
362	#13133197	C₂³	1	4	yes	complemented
363	#13133197	C₂³	1	4	yes	complemented
364	#13133197	C₂³	1	2	yes	complemented
365	#13133197	C₂³	1	2	yes	complemented
366	#13133196	C₂³	1	2	yes	—
367	#13133196	C₂³	1	2	yes	—
368	#13133196	C₂³	1	2	yes	—
369	#13133196	C₂³	1	2	yes	—
370	#13133196	C₂³	1	2	yes	—
371	#13133196	C₂³	1	2	yes	—
372	#13133196	C₂³	1	4	yes	complemented
373	#13133195	C₂³	1	4	yes	complemented
374	#13133195	C₂³	1	4	yes	complemented
375	#13133195	C₂³	1	4	yes	complemented
376	#13133195	C₂³	1	4	yes	complemented
377	#13133195	C₂³	1	4	yes	complemented
378	#13133195	C₂³	1	4	yes	complemented
379	#13133195	C₂³	1	4	yes	complemented
380	#13133195	C₂³	1	4	yes	complemented
381	#13133195	C₂³	1	4	yes	complemented
382	#13133195	C₂³	1	4	yes	complemented
383	#13133195	C₂³	1	4	yes	complemented
384	#13133195	C₂³	1	4	yes	complemented
385	#13133194	C₂³	1	4	yes	—
386	#13133194	C₂³	1	4	yes	—
387	#13133194	C₂³	1	4	yes	—
388	#13133194	C₂³	1	4	yes	—
389	#13133194	C₂³	1	4	yes	complemented
390	#13133194	C₂³	1	4	yes	complemented
391	#13133193	C₂³	1	4	yes	complemented
392	#13133193	C₂³	1	4	yes	complemented
393	#13133193	C₂³	1	4	yes	complemented
394	#13133193	C₂³	1	4	yes	complemented
395	#13133193	C₂³	1	2	yes	complemented
396	#13133193	C₂³	1	2	yes	complemented
397	#13133192	C₂³	1	4	yes	—
398	#13133192	C₂³	1	4	yes	—
399	#13133192	C₂³	1	4	yes	—
400	#13133192	C₂³	1	4	yes	—
401	#13133192	C₂³	1	4	yes	—
402	#13133192	C₂³	1	4	yes	—
403	#13133192	C₂³	1	4	yes	complemented
404	#13133192	C₂³	1	4	yes	complemented
405	#13133192	C₂³	1	4	yes	complemented
406	#13133192	C₂³	1	4	yes	complemented
407	#13133192	C₂³	1	2	yes	complemented
408	#13133192	C₂³	1	2	yes	complemented
409	#13133191	C₂³	1	2	yes	—
410	#13133191	C₂³	1	2	yes	—
411	#13133191	C₂³	1	2	yes	—
412	#13133191	C₂³	1	4	yes	—
413	#13133191	C₂³	1	4	yes	—
414	#13133191	C₂³	1	2	yes	—
415	#13133191	C₂³	1	2	yes	—
416	#13133191	C₂³	1	2	yes	—
417	#13133191	C₂³	1	4	yes	complemented
418	#13133191	C₂³	1	4	yes	complemented
419	#13133191	C₂³	1	4	yes	complemented
420	#13133190	C₂³	1	4	yes	—
421	#13133190	C₂³	1	4	yes	—
422	#13133190	C₂³	1	4	yes	—
423	#13133190	C₂³	1	4	yes	—
424	#13133190	C₂³	1	4	yes	complemented
425	#13133190	C₂³	1	4	yes	complemented
426	#13133190	C₂³	1	4	yes	complemented
427	#13133190	C₂³	1	4	yes	complemented
428	#13133190	C₂³	1	4	yes	complemented
429	#13133190	C₂³	1	4	yes	complemented
430	#13133189	C₂³	1	4	yes	—
431	#13133189	C₂³	1	4	yes	—
432	#13133189	C₂³	1	4	yes	—
433	#13133189	C₂³	1	4	yes	—
434	#13133189	C₂³	1	4	yes	complemented
435	#13133189	C₂³	1	4	yes	complemented
436	#13133189	C₂³	1	4	yes	complemented
437	#13133189	C₂³	1	4	yes	complemented
438	#13133188	C₂³	1	2	yes	complemented
439	#13133188	C₂³	1	2	yes	complemented
440	#13133187	C₂³	1	4	yes	—
441	#13133187	C₂³	1	4	yes	—
442	#13133187	C₂³	1	4	yes	—
443	#13133187	C₂³	1	4	yes	—
444	#13133187	C₂³	1	4	yes	—
445	#13133187	C₂³	1	4	yes	—
446	#13133187	C₂³	1	4	yes	—
447	#13133187	C₂³	1	4	yes	—
448	#13133187	C₂³	1	4	yes	—
449	#13133187	C₂³	1	4	yes	—
450	#13133187	C₂³	1	4	yes	complemented
451	#13133187	C₂³	1	4	yes	complemented
452	#13133187	C₂³	1	4	yes	complemented
453	#13133186	C₂³	1	4	yes	—
454	#13133185	C₂³	1	4	yes	—
455	#13133185	C₂³	1	4	yes	—
456	#13133185	C₂³	1	4	yes	—
457	#13133185	C₂³	1	4	yes	—
458	#13133185	C₂³	1	4	yes	—
459	#13133185	C₂³	1	4	yes	—
460	#13133185	C₂³	1	4	yes	complemented
461	#13133185	C₂³	1	4	yes	complemented
462	#13133185	C₂³	1	4	yes	complemented
463	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
464	#13133182	C₂³	1	4	yes	complemented
465	#13133182	C₂³	1	4	yes	complemented
466	C₄×D₂₁₂	C₂³	1	4	yes	—
467	C₄×D₂₁₂	C₂³	1	4	yes	—
468	C₄×D₂₁₂	C₂³	1	4	yes	complemented
469	C₄×D₂₁₂	C₂³	1	4	yes	complemented
470	C₄×D₂₁₂	C₂³	1	4	yes	complemented
471	C₄×D₂₁₂	C₂³	1	4	yes	complemented
472	C₄×D₂₁₂	C₂³	1	4	yes	complemented
473	D₄×Dic₅₃	C₂³	1	4	yes	—
474	D₄×Dic₅₃	C₂³	1	4	yes	—
475	D₄×Dic₅₃	C₂³	1	4	yes	—
476	D₄×Dic₅₃	C₂³	1	4	yes	—
477	#13133179	C₂³	1	4	yes	—
478	#13133179	C₂³	1	4	yes	—
479	#13133179	C₂³	1	4	yes	complemented
480	#13133179	C₂³	1	4	yes	complemented
481	#13133179	C₂³	1	4	yes	complemented
482	#13133179	C₂³	1	4	yes	complemented
483	#13133179	C₂³	1	4	yes	complemented
484	#13133179	C₂³	1	4	yes	complemented
485	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
486	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
487	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
488	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
489	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
490	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
491	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
492	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
493	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
494	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
495	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
496	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
497	#13133177	C₂³	1	4	yes	—
498	#13133177	C₂³	1	4	yes	—
499	#13133177	C₂³	1	4	yes	—
500	#13133177	C₂³	1	4	yes	—
501	#13133177	C₂³	1	4	yes	complemented
502	#13133177	C₂³	1	4	yes	complemented
503	#13133177	C₂³	1	4	yes	complemented
504	#13133177	C₂³	1	4	yes	complemented
505	#13133177	C₂³	1	4	yes	complemented
506	#13133177	C₂³	1	4	yes	complemented
507	#13133176	C₂³	1	2	yes	—
508	#13133176	C₂³	1	2	yes	—
509	#13133176	C₂³	1	2	yes	—
510	#13133175	C₂³	1	4	yes	complemented
511	#13133175	C₂³	1	4	yes	complemented
512	#13133175	C₂³	1	4	yes	complemented
513	#13133175	C₂³	1	2	yes	complemented
514	#13133175	C₂³	1	4	yes	complemented
515	#13133175	C₂³	1	2	yes	complemented
516	#13133174	C₂³	1	4	yes	complemented
517	#13133174	C₂³	1	4	yes	complemented
518	#13133174	C₂³	1	4	yes	complemented
519	#13133174	C₂³	1	4	yes	complemented
520	#13133174	C₂³	1	4	yes	complemented
521	#13133173	C₂³	1	4	yes	—
522	#13133173	C₂³	1	4	yes	—
523	#13133173	C₂³	1	4	yes	complemented
524	C₂×#11719919	C₂³	1	4	yes	—
525	C₂×#11719919	C₂³	1	2	yes	—
526	C₂×#11719919	C₂³	1	2	yes	—
527	C₂×#11719919	C₂³	1	2	yes	—
528	C₂×#11719919	C₂³	1	2	yes	—
529	C₂×#11719919	C₂³	1	4	yes	complemented
530	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
531	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
532	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
533	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
534	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
535	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
536	C₂×#11719921	C₂³	1	2	yes	—
537	C₂×#11719921	C₂³	1	2	yes	—
538	C₂×#11719921	C₂³	1	4	yes	—
539	C₂×#11719921	C₂³	1	4	yes	—
540	C₂×#11719921	C₂³	1	4	yes	—
541	C₂×#11719921	C₂³	1	4	yes	—
542	C₂×#11719921	C₂³	1	2	yes	—
543	C₂×#11719921	C₂³	1	2	yes	—
544	C₂×#11719921	C₂³	1	2	yes	—
545	C₂×#11719921	C₂³	1	2	yes	—
546	C₂×#11719921	C₂³	1	2	yes	—
547	C₂×#11719921	C₂³	1	2	yes	—
548	C₂×#11719921	C₂³	1	2	yes	—
549	C₂×#11719921	C₂³	1	2	yes	—
550	C₂×#11719921	C₂³	1	4	yes	complemented
551	C₂×#11719921	C₂³	1	4	yes	complemented
552	C₂×#11719921	C₂³	1	4	yes	complemented
553	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
554	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
555	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
556	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
557	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
558	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
559	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
560	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
561	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
562	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
563	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
564	C₄²×D₅₃	C₂³	1	4	yes	complemented
565	C₂×#41×C₅₃	C₂³	1	2	yes	—
566	C₂×#41×C₅₃	C₂³	1	2	yes	—
567	C₂×#41×C₅₃	C₂³	1	2	yes	—
568	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
569	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
570	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
571	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
572	#126×C₅₃	C₂³	1	4	yes	complemented
573	#126×C₅₃	C₂³	1	4	yes	complemented
574	#125×C₅₃	C₂³	1	4	yes	complemented
575	#125×C₅₃	C₂³	1	4	yes	complemented
576	#125×C₅₃	C₂³	1	4	yes	complemented
577	#123×C₅₃	C₂³	1	4	yes	—
578	#123×C₅₃	C₂³	1	4	yes	—
579	#123×C₅₃	C₂³	1	4	yes	—
580	#123×C₅₃	C₂³	1	4	yes	complemented
581	#123×C₅₃	C₂³	1	4	yes	complemented
582	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
583	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
584	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
585	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
586	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
587	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
588	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
589	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
590	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
591	#121×C₅₃	C₂³	1	2	yes	—
592	#121×C₅₃	C₂³	1	2	yes	—
593	#121×C₅₃	C₂³	1	2	yes	—
594	#121×C₅₃	C₂³	1	2	yes	—
595	#121×C₅₃	C₂³	1	2	yes	—
596	#121×C₅₃	C₂³	1	2	yes	—
597	#121×C₅₃	C₂³	1	4	yes	complemented
598	#120×C₅₃	C₂³	1	4	yes	—
599	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
600	C₄×D₄×C₅₃	C₂³	1	4	yes	—
601	C₄×D₄×C₅₃	C₂³	1	4	yes	—
602	C₄×D₄×C₅₃	C₂³	1	4	yes	—
603	C₄×D₄×C₅₃	C₂³	1	4	yes	—
604	C₄×D₄×C₅₃	C₂³	1	4	yes	—
605	C₄×D₄×C₅₃	C₂³	1	4	yes	—
606	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
607	#117×C₅₃	C₂³	1	2	yes	—
608	#117×C₅₃	C₂³	1	2	yes	—
609	#117×C₅₃	C₂³	1	2	yes	—
610	#117×C₅₃	C₂³	1	4	yes	complemented
611	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
612	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
613	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
614	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
615	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
616	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
617	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
618	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
619	C₂³×D₅₃	—	2	4	no	—
620	C₂³×D₅₃	—	4	2	no	—
621	C₂³×D₅₃	—	4	2	no	—
622	C₂³×D₅₃	—	4	2	no	—
623	C₂³×D₅₃	—	4	2	no	—
624	C₂³×D₅₃	—	4	2	no	—
625	C₂³×D₅₃	C₂⁴	1	2	yes	—
626	C₂³×D₅₃	C₂⁴	1	2	yes	—
627	C₂³×D₅₃	C₂⁴	1	2	yes	—
628	C₂³×D₅₃	C₂⁴	1	2	yes	—
629	C₂³×D₅₃	C₂⁴	1	2	yes	—
630	C₂³×D₅₃	C₂⁴	1	4	yes	—
631	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
632	C₂³×D₅₃	C₂⁴	1	4	yes	—
633	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
634	#41×C₅₃	—	4	4	no	—
635	#41×C₅₃	—	4	4	no	—
636	#41×C₅₃	—	4	4	no	—
637	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
638	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
639	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
640	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
641	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
642	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
643	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
644	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
645	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
646	C₂²×C₄×C₅₃	—	4	2	no	—
647	C₂²×C₄×C₅₃	—	4	2	no	—
648	C₂²×C₄×C₅₃	—	4	2	no	—
649	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
650	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
651	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
652	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
653	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
654	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
655	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
656	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
657	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
658	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
659	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
660	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
661	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
665	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
666	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
667	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
668	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
671	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
672	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
673	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
675	C₂²×Dic₅₃	—	4	2	no	—
676	C₂²×Dic₅₃	—	4	2	no	—
677	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
678	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
679	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
680	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
681	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
682	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
683	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
684	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
685	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
686	#11719949	—	4	4	no	—
687	#11719949	—	4	8	no	—
688	Q₈×D₅₃	—	4	4	no	—
689	#11719947	—	4	4	no	—
690	#11719947	—	4	8	no	—
691	#11719947	—	4	8	no	—
692	D₄×D₅₃	—	2	16	no	—
693	D₄×D₅₃	—	4	4	no	—
694	D₄×D₅₃	—	4	8	no	—
695	D₄×D₅₃	—	4	8	no	—
696	D₄×D₅₃	—	4	8	no	—
697	D₄×D₅₃	—	4	8	no	—
698	D₄×D₅₃	—	4	8	no	—
699	D₄×D₅₃	—	4	8	no	—
700	#11719945	—	4	8	no	—
701	#11719945	—	4	8	no	—
702	#11719945	—	4	4	no	—
703	#11719945	—	4	4	no	—
704	#11719945	—	4	4	no	—
705	C₂×D₂₁₂	—	2	8	no	—
706	C₂×D₂₁₂	—	4	4	no	—
707	C₂×D₂₁₂	—	4	8	no	—
708	C₂×D₂₁₂	—	4	4	no	—
709	C₂×D₂₁₂	—	4	8	no	—
710	C₂×D₂₁₂	—	4	4	no	—
711	C₂×D₂₁₂	C₂⁴	1	4	yes	—
712	C₂×D₂₁₂	C₂⁴	1	4	yes	—
713	C₂×D₂₁₂	C₂⁴	1	4	yes	—
714	C₂×D₂₁₂	C₂⁴	1	2	yes	—
715	C₂×D₂₁₂	C₂⁴	1	4	yes	—
716	C₂×D₂₁₂	C₂⁴	1	4	yes	—
717	C₂×D₂₁₂	C₂⁴	1	4	yes	—
718	C₂×D₂₁₂	C₂⁴	1	4	yes	—
719	C₂×D₂₁₂	C₂⁴	1	4	yes	—
720	C₂×D₂₁₂	C₂⁴	1	4	yes	—
721	C₂×D₂₁₂	C₂⁴	1	4	yes	—
722	C₂×D₂₁₂	C₂⁴	1	2	yes	—
723	C₂×D₂₁₂	C₂⁴	1	2	yes	—
724	C₂×C₄×D₅₃	—	2	8	no	—
725	C₂×C₄×D₅₃	—	4	4	no	—
726	C₂×C₄×D₅₃	—	4	4	no	—
727	C₂×C₄×D₅₃	—	4	4	no	—
728	C₂×C₄×D₅₃	—	4	4	no	—
729	C₂×C₄×D₅₃	—	4	8	no	—
730	C₂×C₄×D₅₃	—	4	4	no	—
731	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
732	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
733	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
734	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
735	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
736	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
737	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
738	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
739	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
740	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
741	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
742	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
743	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
744	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
745	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
746	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
747	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
748	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
749	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
750	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
751	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
752	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
753	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
754	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
755	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
756	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
757	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
758	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
759	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
760	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
761	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
762	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
763	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
764	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
765	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
766	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
767	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
768	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
769	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
771	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
772	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
777	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
780	C₄²×C₅₃	C₂⁴	1	4	yes	—
781	C₄²×C₅₃	C₂⁴	1	4	yes	—
782	C₄²×C₅₃	C₂⁴	1	4	yes	—
783	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
784	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
785	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
786	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
787	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
788	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
789	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
790	#11719921	C₂⁴	1	4	yes	—
791	#11719921	C₂⁴	1	4	yes	—
792	#11719921	C₂⁴	1	4	yes	—
793	#11719921	C₂⁴	1	4	yes	—
794	#11719921	C₂⁴	1	4	yes	—
795	#11719921	C₂⁴	1	4	yes	—
796	#11719921	C₂⁴	1	4	yes	—
797	#11719921	C₂⁴	1	4	yes	—
798	#11719921	C₂⁴	1	4	yes	—
799	#11719921	C₂⁴	1	4	yes	—
800	#11719921	C₂⁴	1	4	yes	—
801	#11719921	C₂⁴	1	4	yes	—
802	#11719921	C₂⁴	1	4	yes	—
803	#11719921	C₂⁴	1	4	yes	—
804	#11719921	C₂⁴	1	4	yes	—
805	#11719921	C₂⁴	1	4	yes	—
806	#11719921	C₂⁴	1	4	yes	—
807	#11719921	C₂⁴	1	4	yes	—
808	#11719921	C₂⁴	1	4	yes	—
809	#11719921	C₂⁴	1	4	yes	—
810	#11719921	C₂⁴	1	4	yes	—
811	#11719921	C₂⁴	1	4	yes	—
812	#11719921	C₂⁴	1	4	yes	—
813	#11719921	C₂⁴	1	4	yes	—
814	#11719921	C₂⁴	1	4	yes	—
815	#11719921	C₂⁴	1	4	yes	—
816	#11719921	C₂⁴	1	4	yes	—
817	#11719921	C₂⁴	1	4	yes	—
818	#11719921	C₂⁴	1	4	yes	—
819	#11719921	C₂⁴	1	4	yes	—
820	#11719921	C₂⁴	1	4	yes	—
821	#11719921	C₂⁴	1	4	yes	—
822	#11719921	C₂⁴	1	4	yes	—
823	#11719921	C₂⁴	1	4	yes	—
824	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
825	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
826	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
827	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
828	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
829	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
830	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
831	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
832	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
833	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
834	#11719919	C₂⁴	1	4	yes	—
835	#11719919	C₂⁴	1	4	yes	—
836	#11719919	C₂⁴	1	4	yes	—
837	#11719919	C₂⁴	1	4	yes	—
838	#11719919	C₂⁴	1	4	yes	—
839	#11719919	C₂⁴	1	4	yes	—
840	#11719919	C₂⁴	1	4	yes	—
841	#11719919	C₂⁴	1	4	yes	—
842	#11719919	C₂⁴	1	4	yes	—
843	#11719919	C₂⁴	1	4	yes	—
844	#11719919	C₂⁴	1	4	yes	—
845	#11719919	C₂⁴	1	4	yes	—
846	#11719919	C₂⁴	1	4	yes	—
847	#11719919	C₂⁴	1	4	yes	—
848	#11719919	C₂⁴	1	4	yes	—
849	#11719919	C₂⁴	1	4	yes	—
850	#11719919	C₂⁴	1	4	yes	—
851	#11719919	C₂⁴	1	4	yes	—
852	C₄×Dic₅₃	C₂⁴	1	4	yes	—
853	C₄×Dic₅₃	C₂⁴	1	4	yes	—
854	C₄×Dic₅₃	C₂⁴	1	4	yes	—
855	C₄×Dic₅₃	C₂⁴	1	4	yes	—
856	C₄×Dic₅₃	C₂⁴	1	4	yes	—
857	C₄×Dic₅₃	C₂⁴	1	4	yes	—
858	C₄×Dic₅₃	C₂⁴	1	4	yes	—
859	C₂³×C₅₃	—	2	2	no	—
860	C₂³×C₅₃	—	2	2	no	—
861	C₂³×C₅₃	—	2	2	no	—
862	C₂³×C₅₃	C₂⁵	1	4	yes	—
863	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
864	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
865	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
866	C₂²×D₅₃	—	2	2	no	—
867	C₂²×D₅₃	—	2	4	no	—
868	C₂²×D₅₃	—	2	4	no	—
869	C₂²×D₅₃	—	2	4	no	—
870	C₂²×D₅₃	—	2	4	no	—
871	C₂²×D₅₃	—	2	4	no	—
872	C₂²×D₅₃	—	2	4	no	—
873	C₂²×D₅₃	—	2	4	no	—
874	C₂²×D₅₃	—	2	8	no	—
875	C₂²×D₅₃	—	4	1	no	—
876	C₂²×D₅₃	—	4	1	no	—
877	C₂²×D₅₃	—	4	2	no	—
878	C₂²×D₅₃	—	4	2	no	—
879	C₂²×D₅₃	—	4	1	no	—
880	C₂²×D₅₃	—	4	1	no	—
881	C₂²×D₅₃	—	4	2	no	—
882	C₂²×D₅₃	—	4	2	no	—
883	C₂²×D₅₃	—	4	4	no	—
884	C₂²×D₅₃	—	4	4	no	—
885	C₂²×D₅₃	—	4	2	no	—
886	C₂²×D₅₃	—	4	2	no	—
887	C₂²×D₅₃	—	4	2	no	—
888	C₂²×D₅₃	—	4	2	no	—
889	C₂²×D₅₃	—	4	4	no	—
890	C₂²×D₅₃	—	4	4	no	—
891	C₂²×D₅₃	—	4	4	no	—
892	C₂²×D₅₃	—	4	16	no	—
893	C₂²×D₅₃	—	8	8	no	—
894	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
895	C₂²×D₅₃	C₂⁵	1	4	yes	—
896	C₂²×D₅₃	C₂⁵	1	2	yes	—
897	C₂²×D₅₃	C₂⁵	1	4	yes	—
898	C₂²×D₅₃	C₂⁵	1	2	yes	—
899	Q₈×C₅₃	—	4	2	no	—
900	Q₈×C₅₃	—	4	2	no	—
901	Q₈×C₅₃	—	4	2	no	—
902	D₄×C₅₃	—	2	8	no	—
903	D₄×C₅₃	—	2	8	no	—
904	D₄×C₅₃	—	2	8	no	—
905	D₄×C₅₃	—	4	2	no	—
906	D₄×C₅₃	—	4	2	no	—
907	D₄×C₅₃	—	4	2	no	—
908	C₂×C₄×C₅₃	—	2	4	no	—
909	C₂×C₄×C₅₃	—	2	4	no	—
910	C₂×C₄×C₅₃	—	2	2	no	—
911	C₂×C₄×C₅₃	—	2	2	no	—
912	C₂×C₄×C₅₃	—	4	1	no	—
913	C₂×C₄×C₅₃	—	4	2	no	—
914	C₂×C₄×C₅₃	—	4	1	no	—
915	C₂×C₄×C₅₃	—	4	4	no	—
916	C₂×C₄×C₅₃	—	4	1	no	—
917	C₂×C₄×C₅₃	—	4	2	no	—
918	C₂×C₄×C₅₃	—	4	1	no	—
919	C₂×C₄×C₅₃	—	4	4	no	—
920	C₂×C₄×C₅₃	—	4	2	no	—
921	C₂×C₄×C₅₃	—	4	2	no	—
922	C₂×C₄×C₅₃	—	4	4	no	—
923	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
924	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
925	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
926	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
927	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
928	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
929	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
930	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
931	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
932	C₂²⋊D₅₃	—	2	8	no	—
933	C₂²⋊D₅₃	—	2	8	no	—
934	C₂²⋊D₅₃	—	2	8	no	—
935	C₂²⋊D₅₃	—	2	8	no	—
936	C₂²⋊D₅₃	—	4	4	no	—
937	C₂²⋊D₅₃	—	4	4	no	—
938	C₂²⋊D₅₃	—	4	4	no	—
939	C₂²⋊D₅₃	—	4	4	no	—
940	C₂²⋊D₅₃	—	4	4	no	—
941	C₂²⋊D₅₃	—	4	4	no	—
942	C₂²⋊D₅₃	—	4	4	no	—
943	C₂×Dic₅₃	—	2	4	no	—
944	C₂×Dic₅₃	—	2	4	no	—
945	C₂×Dic₅₃	—	4	1	no	—
946	C₂×Dic₅₃	—	4	2	no	—
947	C₂×Dic₅₃	—	4	1	no	—
948	C₂×Dic₅₃	—	4	4	no	—
949	C₂×Dic₅₃	—	4	4	no	—
950	C₂×Dic₅₃	—	4	2	no	—
951	C₂×Dic₅₃	—	4	2	no	—
952	C₂×Dic₅₃	C₂⁵	1	4	yes	—
953	C₂×Dic₅₃	C₂⁵	1	2	yes	—
954	C₂×Dic₅₃	C₂⁵	1	4	yes	—
955	C₂×Dic₅₃	C₂⁵	1	4	yes	—
956	C₂×Dic₅₃	C₂⁵	1	4	yes	—
957	C₂×Dic₅₃	C₂⁵	1	2	yes	—
958	D₂₁₂	—	2	8	no	—
959	D₂₁₂	—	2	8	no	—
960	D₂₁₂	—	2	8	no	—
961	D₂₁₂	—	4	4	no	—
962	D₂₁₂	—	4	4	no	—
963	D₂₁₂	—	4	2	no	—
964	D₂₁₂	—	4	4	no	—
965	D₂₁₂	—	4	2	no	—
966	D₂₁₂	—	4	2	no	—
967	D₂₁₂	—	4	4	no	—
968	D₂₁₂	—	4	4	no	—
969	D₂₁₂	—	4	4	no	—
970	D₂₁₂	—	4	4	no	—
971	C₄×D₅₃	—	2	4	no	—
972	C₄×D₅₃	—	2	4	no	—
973	C₄×D₅₃	—	2	4	no	—
974	C₄×D₅₃	—	2	4	no	—
975	C₄×D₅₃	—	2	8	no	—
976	C₄×D₅₃	—	4	2	no	—
977	C₄×D₅₃	—	4	2	no	—
978	C₄×D₅₃	—	4	2	no	—
979	C₄×D₅₃	—	4	2	no	—
980	C₄×D₅₃	—	4	4	no	—
981	C₄×D₅₃	—	4	4	no	—
982	C₄×D₅₃	—	4	4	no	—
983	C₄×D₅₃	—	4	4	no	—
984	C₄×D₅₃	—	4	4	no	—
985	C₄×D₅₃	—	4	4	no	—
986	C₄×D₅₃	—	4	4	no	—
987	C₄×D₅₃	—	4	4	no	—
988	C₄×D₅₃	—	4	4	no	—
989	C₄×D₅₃	—	4	4	no	—
990	Dic₁₀₆	—	4	2	no	—
991	Dic₁₀₆	—	4	2	no	—
992	Dic₁₀₆	—	4	2	no	—
993	Dic₁₀₆	—	4	4	no	—
994	Dic₁₀₆	—	4	4	no	—
995	#62820	—	53	1	no	maximal, Sylow
996	C₂²×C₅₃	—	2	8	no	—
997	C₂²×C₅₃	—	2	1	no	—
998	C₂²×C₅₃	—	2	1	no	—
999	C₂²×C₅₃	—	2	1	no	—
1000	C₂²×C₅₃	—	2	1	no	—
1001	C₂²×C₅₃	—	2	1	no	—
1002	C₂²×C₅₃	—	2	1	no	—
1003	C₂²×C₅₃	—	2	4	no	—
1004	C₂²×C₅₃	—	2	4	no	—
1005	C₂²×C₅₃	—	2	4	no	—
1006	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1007	C₂²×C₅₃	#585	1	2	yes	—
1008	C₂²×C₅₃	#585	1	2	yes	—
1009	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1010	C₂×D₅₃	—	2	2	no	—
1011	C₂×D₅₃	—	2	2	no	—
1012	C₂×D₅₃	—	2	2	no	—
1013	C₂×D₅₃	—	2	4	no	—
1014	C₂×D₅₃	—	2	4	no	—
1015	C₂×D₅₃	—	2	4	no	—
1016	C₂×D₅₃	—	2	4	no	—
1017	C₂×D₅₃	—	2	4	no	—
1018	C₂×D₅₃	—	2	4	no	—
1019	C₂×D₅₃	—	2	2	no	—
1020	C₂×D₅₃	—	2	2	no	—
1021	C₂×D₅₃	—	4	4	no	—
1022	C₂×D₅₃	—	4	8	no	—
1023	C₂×D₅₃	—	4	8	no	—
1024	C₂×D₅₃	—	4	4	no	—
1025	C₂×D₅₃	—	8	8	no	—
1026	C₂×D₅₃	—	8	4	no	—
1027	C₂×D₅₃	—	8	4	no	—
1028	C₂×D₅₃	—	8	4	no	—
1029	C₂×D₅₃	—	16	4	no	—
1030	C₂×D₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1031	C₄×C₅₃	—	2	2	no	—
1032	C₄×C₅₃	—	2	4	no	—
1033	C₄×C₅₃	—	2	2	no	—
1034	C₄×C₅₃	—	2	2	no	—
1035	C₄×C₅₃	—	2	2	no	—
1036	C₄×C₅₃	—	2	4	no	—
1037	C₄×C₅₃	—	2	2	no	—
1038	C₄×C₅₃	—	2	4	no	—
1039	C₄×C₅₃	—	2	2	no	—
1040	Dic₅₃	—	2	4	no	—
1041	Dic₅₃	—	2	2	no	—
1042	Dic₅₃	—	2	2	no	—
1043	Dic₅₃	—	2	4	no	—
1044	Dic₅₃	—	2	4	no	—
1045	Dic₅₃	—	2	4	no	—
1046	#3535	—	53	4	no	—
1047	#3535	—	53	2	no	—
1048	#3535	—	53	2	no	—
1049	#3534	—	53	4	no	—
1050	#3534	—	53	2	no	—
1051	#3534	—	53	2	no	—
1052	#3533	—	53	4	no	—
1053	#3533	—	53	4	no	—
1054	#3513	—	53	4	no	—
1055	#3513	—	53	4	no	—
1056	#3513	—	53	4	no	—
1057	#3513	—	53	4	no	—
1058	#3492	—	53	2	no	—
1059	#3492	—	53	1	no	—
1060	#3492	D₅₃	1	1	yes	characteristic, complemented
1061	#3491	—	53	4	no	—
1062	#3490	—	53	2	no	—
1063	#3490	—	53	2	no	—
1064	#3490	—	53	2	no	—
1065	#3485	—	53	4	no	—
1066	#3484	—	53	2	no	—
1067	C₂×#525	—	53	2	no	—
1068	C₂²×#123	—	53	1	no	—
1069	C₂×C₅₃	—	2	2	no	—
1070	C₂×C₅₃	—	2	2	no	—
1071	C₂×C₅₃	—	2	2	no	—
1072	C₂×C₅₃	—	4	4	no	—
1073	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1074	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1075	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1076	D₅₃	—	2	4	no	—
1077	D₅₃	—	4	2	no	—
1078	D₅₃	—	4	4	no	—
1079	D₅₃	—	4	4	no	—
1080	C₂×H(5,𝔽₂)	—	53	2	no	—
1081	C₂²×#41	—	53	2	no	—
1082	C₂³×D₄	—	53	1	no	—
1083	C₂⁴×C₄	—	53	1	no	—
1084	#563	—	53	4	no	—
1085	#563	—	53	4	no	—
1086	#562	—	53	4	no	—
1087	#562	—	53	4	no	—
1088	#562	—	53	4	no	—
1089	#562	—	53	4	no	—
1090	#560	—	53	4	no	—
1091	#560	—	53	4	no	—
1092	#559	—	53	4	no	—
1093	#559	—	53	4	no	—
1094	#554	—	53	4	no	—
1095	#554	—	53	4	no	—
1096	#554	—	53	4	no	—
1097	#554	C₂×D₅₃	1	4	yes	complemented
1098	#553	—	53	4	no	—
1099	#553	—	53	4	no	—
1100	#553	—	53	4	no	—
1101	#553	—	53	4	no	—
1102	#553	—	53	4	no	—
1103	#553	—	53	4	no	—
1104	#553	—	53	4	no	—
1105	#553	C₂×D₅₃	1	4	yes	complemented
1106	#552	—	53	4	no	—
1107	#552	—	53	4	no	—
1108	#552	—	53	4	no	—
1109	#552	—	53	4	no	—
1110	#552	—	53	4	no	—
1111	#552	—	53	4	no	—
1112	#552	—	53	4	no	—
1113	#552	C₂×D₅₃	1	4	yes	complemented
1114	#551	—	53	4	no	—
1115	#551	—	53	4	no	—
1116	#551	—	53	4	no	—
1117	#551	—	53	4	no	—
1118	#551	—	53	4	no	—
1119	#551	—	53	4	no	—
1120	#551	—	53	4	no	—
1121	#551	—	53	4	no	—
1122	#551	—	53	4	no	—
1123	#551	—	53	4	no	—
1124	#551	—	53	4	no	—
1125	#551	—	53	4	no	—
1126	#551	—	53	4	no	—
1127	#551	—	53	4	no	—
1128	#551	—	53	4	no	—
1129	#551	—	53	4	no	—
1130	#551	—	53	4	no	—
1131	#551	—	53	4	no	—
1132	#547	—	53	4	no	—
1133	#547	—	53	4	no	—
1134	#547	—	53	4	no	—
1135	#547	—	53	4	no	—
1136	#547	—	53	4	no	—
1137	#547	—	53	4	no	—
1138	#547	—	53	4	no	—
1139	#547	C₂×D₅₃	1	4	yes	complemented
1140	#546	—	53	4	no	—
1141	#546	—	53	4	no	—
1142	#546	—	53	4	no	—
1143	#546	—	53	4	no	—
1144	#546	—	53	4	no	—
1145	#546	—	53	4	no	—
1146	#546	—	53	4	no	—
1147	#546	—	53	4	no	—
1148	#546	—	53	4	no	—
1149	#546	—	53	4	no	—
1150	#546	—	53	4	no	—
1151	#546	—	53	4	no	—
1152	#546	—	53	4	no	—
1153	#546	—	53	4	no	—
1154	#546	—	53	4	no	—
1155	#546	—	53	4	no	—
1156	#546	—	53	4	no	—
1157	#546	—	53	4	no	—
1158	#546	—	53	4	no	—
1159	#546	—	53	4	no	—
1160	D₄²	—	53	4	no	—
1161	D₄²	—	53	4	no	—
1162	D₄²	—	53	4	no	—
1163	D₄²	—	53	4	no	—
1164	#544	—	53	2	no	—
1165	#544	—	53	1	no	—
1166	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1167	#543	—	53	2	no	—
1168	#543	—	53	2	no	—
1169	#543	—	53	2	no	—
1170	#542	—	53	4	no	—
1171	#542	—	53	4	no	—
1172	#542	—	53	4	no	—
1173	#542	—	53	4	no	—
1174	#540	—	53	4	no	—
1175	#540	—	53	4	no	—
1176	#540	—	53	4	no	—
1177	#540	—	53	4	no	—
1178	#539	—	53	4	no	—
1179	#539	—	53	4	no	—
1180	#539	—	53	4	no	—
1181	#539	—	53	4	no	—
1182	#539	—	53	4	no	—
1183	#539	—	53	2	no	—
1184	#539	—	53	4	no	—
1185	#539	—	53	4	no	—
1186	#539	—	53	2	no	—
1187	#539	—	53	4	no	—
1188	#539	—	53	2	no	—
1189	#539	—	53	2	no	—
1190	#539	—	53	4	no	—
1191	#539	C₂×D₅₃	1	2	yes	complemented
1192	#539	C₂×D₅₃	1	2	yes	complemented
1193	#538	—	53	4	no	—
1194	#538	—	53	4	no	—
1195	#538	—	53	2	no	—
1196	#538	—	53	2	no	—
1197	#538	—	53	2	no	—
1198	#538	—	53	4	no	—
1199	#538	—	53	2	no	—
1200	#538	—	53	2	no	—
1201	#538	—	53	2	no	—
1202	#538	—	53	4	no	—
1203	#538	—	53	4	no	—
1204	#538	—	53	4	no	—
1205	#538	—	53	4	no	—
1206	#537	—	53	2	no	—
1207	#537	—	53	1	no	—
1208	#537	C₂×D₅₃	1	1	yes	characteristic, complemented
1209	#536	—	53	4	no	—
1210	#536	—	53	4	no	—
1211	#535	—	53	2	no	—
1212	#535	—	53	2	no	—
1213	#534	—	53	4	no	—
1214	#534	—	53	4	no	—
1215	#534	—	53	4	no	—
1216	#534	—	53	2	no	—
1217	#534	—	53	2	no	—
1218	#534	—	53	2	no	—
1219	#534	—	53	4	no	—
1220	#529	—	53	4	no	—
1221	#529	—	53	4	no	—
1222	#529	—	53	4	no	—
1223	#529	—	53	4	no	—
1224	#525	—	53	2	no	—
1225	#525	—	53	2	no	—
1226	#525	—	53	2	no	—
1227	#525	—	53	2	no	—
1228	#525	—	53	4	no	—
1229	#525	—	53	2	no	—
1230	#525	—	53	2	no	—
1231	#525	—	53	4	no	—
1232	#525	—	53	2	no	—
1233	#525	—	53	2	no	—
1234	#525	—	53	4	no	—
1235	#525	—	53	4	no	—
1236	#525	—	53	4	no	—
1237	#525	—	53	4	no	—
1238	#525	—	53	4	no	—
1239	#525	—	53	2	no	—
1240	#525	C₂×D₅₃	1	2	yes	complemented
1241	#525	C₂×D₅₃	1	2	yes	complemented
1242	#525	C₂×D₅₃	1	2	yes	complemented
1243	C₂×#123	—	53	4	no	—
1244	C₂×#123	—	53	4	no	—
1245	C₂×#123	—	53	4	no	—
1246	C₂×#123	—	53	4	no	—
1247	C₂×#123	—	53	2	no	—
1248	C₂×#123	—	53	2	no	—
1249	C₂×#123	—	53	4	no	—
1250	C₂×#123	—	53	4	no	—
1251	C₂×#123	—	53	2	no	—
1252	C₂×#123	—	53	2	no	—
1253	C₂×#123	—	53	4	no	—
1254	C₂×C₂²⋊Q₈	—	53	2	no	—
1255	C₂×C₂²⋊Q₈	—	53	2	no	—
1256	C₂×#121	—	53	2	no	—
1257	C₂×#121	—	53	2	no	—
1258	C₂×#120	—	53	4	no	—
1259	C₂×#120	—	53	4	no	—
1260	#520	—	53	4	no	—
1261	#520	—	53	2	no	—
1262	#520	C₂×D₅₃	1	2	yes	complemented
1263	#518	—	53	4	no	—
1264	#518	—	53	4	no	—
1265	#518	—	53	4	no	—
1266	#518	—	53	2	no	—
1267	C₂×C₄×D₄	—	53	4	no	—
1268	C₂×C₄×D₄	—	53	4	no	—
1269	C₂×#117	—	53	2	no	—
1270	C₂²×C₄⋊C₄	—	53	1	no	—
1271	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1272	C₂²×C₂²⋊C₄	—	53	1	no	—
1273	C₂²×C₂²⋊C₄	—	53	1	no	—
1274	C₂²×C₂²⋊C₄	—	53	1	no	—
1275	C₅₃	#62820	1	1	yes	characteristic, complemented, Sylow
1276	C₂⁵	—	53	1	no	—
1277	C₂⁵	—	53	1	no	—
1278	H(5,𝔽₂)	—	212	8	no	—
1279	C₂×#41	—	53	2	no	—
1280	C₂×#41	—	53	4	no	—
1281	C₂×#41	—	53	4	no	—
1282	C₂×#41	—	53	4	no	—
1283	C₂×#41	—	53	2	no	—
1284	C₂×#41	—	53	2	no	—
1285	C₂×#41	—	53	2	no	—
1286	C₂×#41	—	53	4	no	—
1287	C₂×#41	—	53	2	no	—
1288	C₂×#41	—	53	4	no	—
1289	C₂×#41	—	212	8	no	—
1290	C₂×#41	C₂²×D₅₃	1	2	yes	—
1291	C₂×#41	C₂²×D₅₃	1	2	yes	—
1292	C₂×#41	C₂²×D₅₃	1	2	yes	—
1293	C₂²×Q₈	—	53	2	no	—
1294	C₂²×D₄	—	53	4	no	—
1295	C₂²×D₄	—	53	4	no	—
1296	C₂²×D₄	—	53	4	no	—
1297	C₂²×D₄	—	53	4	no	—
1298	C₂²×D₄	—	53	4	no	—
1299	C₂²×D₄	—	53	4	no	—
1300	C₂²×D₄	—	53	2	no	—
1301	C₂²×D₄	—	53	4	no	—
1302	C₂²×D₄	—	53	2	no	—
1303	C₂²×D₄	—	53	2	no	—
1304	C₂²×D₄	—	53	2	no	—
1305	C₂²×D₄	—	53	4	no	—
1306	C₂²×D₄	—	53	2	no	—
1307	C₂²×D₄	—	53	4	no	—
1308	C₂²×D₄	—	212	4	no	—
1309	C₂³×C₄	—	53	1	no	—
1310	C₂³×C₄	—	53	1	no	—
1311	C₂³×C₄	—	53	2	no	—
1312	C₂³×C₄	—	53	2	no	—
1313	C₂³×C₄	—	53	2	no	—
1314	C₂³×C₄	—	53	4	no	—
1315	C₂³×C₄	—	53	2	no	—
1316	C₂³×C₄	—	53	2	no	—
1317	C₂³×C₄	—	53	2	no	—
1318	C₂³×C₄	—	212	4	no	—
1319	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1320	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1321	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1322	C₄⋊Q₈	—	53	4	no	—
1323	C₄⋊Q₈	—	53	4	no	—
1324	C₄⋊Q₈	—	53	4	no	—
1325	C₄⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1326	#127	—	53	4	no	—
1327	#127	—	53	4	no	—
1328	#126	—	53	4	no	—
1329	#126	—	53	4	no	—
1330	#126	—	53	4	no	—
1331	#126	—	53	4	no	—
1332	#126	—	53	4	no	—
1333	#126	—	53	4	no	—
1334	#126	—	53	4	no	—
1335	#126	—	53	4	no	—
1336	#126	—	53	4	no	—
1337	#126	—	53	4	no	—
1338	#126	—	53	4	no	—
1339	#126	—	53	4	no	—
1340	#126	—	53	4	no	—
1341	#126	—	53	4	no	—
1342	#126	—	53	4	no	—
1343	#126	—	53	4	no	—
1344	#126	—	53	4	no	—
1345	#126	—	53	4	no	—
1346	#126	C₂²×D₅₃	1	4	yes	complemented
1347	#126	C₂²×D₅₃	1	4	yes	complemented
1348	#125	—	53	4	no	—
1349	#125	—	53	4	no	—
1350	#125	—	53	4	no	—
1351	#125	—	53	4	no	—
1352	#125	—	53	4	no	—
1353	#125	—	53	4	no	—
1354	#125	—	53	4	no	—
1355	#125	—	53	4	no	—
1356	#125	—	53	4	no	—
1357	#125	C₂²×D₅₃	1	4	yes	complemented
1358	#125	C₂²×D₅₃	1	4	yes	complemented
1359	#125	C₂²×D₅₃	1	4	yes	complemented
1360	#124	—	53	4	no	—
1361	#124	—	53	4	no	—
1362	#124	—	53	4	no	—
1363	#124	—	53	4	no	—
1364	#124	—	53	4	no	—
1365	#124	—	53	4	no	—
1366	#124	—	53	4	no	—
1367	#124	—	53	4	no	—
1368	#124	—	53	4	no	—
1369	#124	—	53	4	no	—
1370	#124	—	53	4	no	—
1371	#124	—	53	4	no	—
1372	#124	—	53	4	no	—
1373	#124	—	53	4	no	—
1374	#123	—	53	4	no	—
1375	#123	—	53	4	no	—
1376	#123	—	53	4	no	—
1377	#123	—	53	4	no	—
1378	#123	—	53	4	no	—
1379	#123	—	53	4	no	—
1380	#123	—	53	4	no	—
1381	#123	—	53	4	no	—
1382	#123	—	53	4	no	—
1383	#123	—	53	4	no	—
1384	#123	—	53	4	no	—
1385	#123	—	53	4	no	—
1386	#123	—	53	4	no	—
1387	#123	—	53	4	no	—
1388	#123	—	53	4	no	—
1389	#123	—	53	4	no	—
1390	#123	—	53	4	no	—
1391	#123	—	53	4	no	—
1392	#123	—	53	4	no	—
1393	#123	—	53	4	no	—
1394	#123	—	53	4	no	—
1395	#123	—	53	4	no	—
1396	#123	—	53	4	no	—
1397	#123	—	53	4	no	—
1398	#123	—	53	4	no	—
1399	#123	—	53	4	no	—
1400	#123	—	53	4	no	—
1401	#123	—	53	4	no	—
1402	#123	—	53	4	no	—
1403	#123	—	53	4	no	—
1404	#123	—	53	4	no	—
1405	#123	—	53	4	no	—
1406	#123	—	53	4	no	—
1407	#123	—	53	4	no	—
1408	#123	—	53	4	no	—
1409	#123	—	53	4	no	—
1410	#123	—	53	4	no	—
1411	#123	—	53	4	no	—
1412	#123	—	53	4	no	—
1413	#123	—	53	4	no	—
1414	#123	—	53	4	no	—
1415	#123	—	53	4	no	—
1416	#123	—	53	4	no	—
1417	#123	—	53	4	no	—
1418	#123	—	53	4	no	—
1419	#123	—	53	4	no	—
1420	#123	—	53	4	no	—
1421	#123	—	53	4	no	—
1422	#123	—	53	4	no	—
1423	#123	—	53	4	no	—
1424	#123	—	53	4	no	—
1425	#123	—	53	4	no	—
1426	#123	—	53	4	no	—
1427	#123	—	53	4	no	—
1428	#123	—	53	4	no	—
1429	#123	C₂²×D₅₃	1	4	yes	—
1430	#123	C₂²×D₅₃	1	4	yes	—
1431	#123	C₂²×D₅₃	1	4	yes	—
1432	#123	C₂²×D₅₃	1	4	yes	complemented
1433	#123	C₂²×D₅₃	1	4	yes	complemented
1434	C₂²⋊Q₈	—	53	2	no	—
1435	C₂²⋊Q₈	—	53	2	no	—
1436	C₂²⋊Q₈	—	53	4	no	—
1437	C₂²⋊Q₈	—	53	4	no	—
1438	C₂²⋊Q₈	—	53	4	no	—
1439	C₂²⋊Q₈	—	53	4	no	—
1440	C₂²⋊Q₈	—	53	2	no	—
1441	C₂²⋊Q₈	—	53	2	no	—
1442	C₂²⋊Q₈	—	53	2	no	—
1443	C₂²⋊Q₈	—	53	2	no	—
1444	C₂²⋊Q₈	—	53	2	no	—
1445	C₂²⋊Q₈	—	53	2	no	—
1446	C₂²⋊Q₈	—	53	4	no	—
1447	C₂²⋊Q₈	—	53	4	no	—
1448	C₂²⋊Q₈	—	53	2	no	—
1449	C₂²⋊Q₈	—	53	4	no	—
1450	C₂²⋊Q₈	—	53	2	no	—
1451	C₂²⋊Q₈	—	53	4	no	—
1452	C₂²⋊Q₈	—	53	4	no	—
1453	C₂²⋊Q₈	—	53	4	no	—
1454	C₂²⋊Q₈	—	53	4	no	—
1455	C₂²⋊Q₈	—	53	4	no	—
1456	C₂²⋊Q₈	—	53	4	no	—
1457	C₂²⋊Q₈	—	53	4	no	—
1458	C₂²⋊Q₈	—	53	4	no	—
1459	C₂²⋊Q₈	—	53	4	no	—
1460	C₂²⋊Q₈	—	53	4	no	—
1461	C₂²⋊Q₈	—	53	4	no	—
1462	C₂²⋊Q₈	—	53	4	no	—
1463	C₂²⋊Q₈	—	53	4	no	—
1464	C₂²⋊Q₈	—	53	4	no	—
1465	C₂²⋊Q₈	—	53	4	no	—
1466	C₂²⋊Q₈	—	53	4	no	—
1467	C₂²⋊Q₈	—	53	4	no	—
1468	C₂²⋊Q₈	—	53	4	no	—
1469	C₂²⋊Q₈	—	53	4	no	—
1470	C₂²⋊Q₈	—	53	4	no	—
1471	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1472	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1473	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1474	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1475	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1476	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1477	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1478	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1479	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1480	#121	—	53	4	no	—
1481	#121	—	53	2	no	—
1482	#121	—	53	4	no	—
1483	#121	—	53	2	no	—
1484	#121	—	53	4	no	—
1485	#121	—	53	4	no	—
1486	#121	—	53	4	no	—
1487	#121	—	53	4	no	—
1488	#121	—	53	4	no	—
1489	#121	—	53	4	no	—
1490	#121	—	53	2	no	—
1491	#121	—	53	2	no	—
1492	#121	—	53	2	no	—
1493	#121	—	53	2	no	—
1494	#121	—	53	2	no	—
1495	#121	—	53	2	no	—
1496	#121	—	53	4	no	—
1497	#121	—	53	4	no	—
1498	#121	—	53	4	no	—
1499	#121	—	53	4	no	—
1500	#121	—	53	4	no	—
1501	#121	—	53	2	no	—
1502	#121	—	53	2	no	—
1503	#121	—	53	4	no	—
1504	#121	—	53	4	no	—
1505	#121	—	53	4	no	—
1506	#121	—	53	4	no	—
1507	#121	—	53	4	no	—
1508	#121	—	53	4	no	—
1509	#121	—	53	4	no	—
1510	#121	—	53	4	no	—
1511	#121	—	53	4	no	—
1512	#121	—	53	4	no	—
1513	#121	—	53	4	no	—
1514	#121	—	53	4	no	—
1515	#121	—	53	4	no	—
1516	#121	—	53	4	no	—
1517	#121	—	53	4	no	—
1518	#121	—	53	4	no	—
1519	#121	—	53	4	no	—
1520	#121	—	53	4	no	—
1521	#121	—	53	4	no	—
1522	#121	—	53	4	no	—
1523	#121	C₂²×D₅₃	1	2	yes	—
1524	#121	C₂²×D₅₃	1	2	yes	—
1525	#121	C₂²×D₅₃	1	2	yes	—
1526	#121	C₂²×D₅₃	1	2	yes	—
1527	#121	C₂²×D₅₃	1	2	yes	—
1528	#121	C₂²×D₅₃	1	2	yes	—
1529	#121	C₂²×D₅₃	1	4	yes	complemented
1530	#120	—	53	4	no	—
1531	#120	—	53	4	no	—
1532	#120	—	53	4	no	—
1533	#120	—	53	4	no	—
1534	#120	—	53	4	no	—
1535	#120	—	53	4	no	—
1536	#120	—	53	4	no	—
1537	#120	—	53	4	no	—
1538	#120	—	53	4	no	—
1539	#120	—	53	4	no	—
1540	#120	—	53	4	no	—
1541	#120	—	53	4	no	—
1542	#120	—	53	4	no	—
1543	#120	—	53	4	no	—
1544	#120	—	53	4	no	—
1545	#120	—	53	4	no	—
1546	#120	—	53	4	no	—
1547	#120	—	53	4	no	—
1548	#120	—	53	4	no	—
1549	#120	—	53	4	no	—
1550	#120	—	53	4	no	—
1551	#120	—	53	4	no	—
1552	#120	—	53	4	no	—
1553	#120	C₂²×D₅₃	1	4	yes	—
1554	C₄×Q₈	—	53	4	no	—
1555	C₄×Q₈	—	53	4	no	—
1556	C₄×Q₈	—	53	4	no	—
1557	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1558	C₄×D₄	—	53	4	no	—
1559	C₄×D₄	—	53	4	no	—
1560	C₄×D₄	—	53	4	no	—
1561	C₄×D₄	—	53	4	no	—
1562	C₄×D₄	—	53	4	no	—
1563	C₄×D₄	—	53	4	no	—
1564	C₄×D₄	—	53	4	no	—
1565	C₄×D₄	—	53	4	no	—
1566	C₄×D₄	—	53	4	no	—
1567	C₄×D₄	—	53	4	no	—
1568	C₄×D₄	—	53	4	no	—
1569	C₄×D₄	—	53	4	no	—
1570	C₄×D₄	—	53	4	no	—
1571	C₄×D₄	—	53	4	no	—
1572	C₄×D₄	—	53	4	no	—
1573	C₄×D₄	—	53	4	no	—
1574	C₄×D₄	—	53	4	no	—
1575	C₄×D₄	—	53	4	no	—
1576	C₄×D₄	—	53	4	no	—
1577	C₄×D₄	—	53	4	no	—
1578	C₄×D₄	—	53	4	no	—
1579	C₄×D₄	—	53	4	no	—
1580	C₄×D₄	—	53	4	no	—
1581	C₄×D₄	—	53	4	no	—
1582	C₄×D₄	—	53	4	no	—
1583	C₄×D₄	—	53	4	no	—
1584	C₄×D₄	—	53	4	no	—
1585	C₄×D₄	—	53	4	no	—
1586	C₄×D₄	—	53	4	no	—
1587	C₄×D₄	—	53	4	no	—
1588	C₄×D₄	—	53	4	no	—
1589	C₄×D₄	—	53	4	no	—
1590	C₄×D₄	—	53	4	no	—
1591	C₄×D₄	—	53	4	no	—
1592	C₄×D₄	—	53	4	no	—
1593	C₄×D₄	—	53	4	no	—
1594	C₄×D₄	—	53	4	no	—
1595	C₄×D₄	—	53	4	no	—
1596	C₄×D₄	—	53	4	no	—
1597	C₄×D₄	—	53	4	no	—
1598	C₄×D₄	—	53	4	no	—
1599	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1600	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1601	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1602	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1603	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1604	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1605	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1606	#117	—	53	2	no	—
1607	#117	—	53	2	no	—
1608	#117	—	53	2	no	—
1609	#117	—	53	2	no	—
1610	#117	—	53	2	no	—
1611	#117	—	53	4	no	—
1612	#117	—	53	4	no	—
1613	#117	—	53	4	no	—
1614	#117	—	53	4	no	—
1615	#117	—	53	4	no	—
1616	#117	—	53	4	no	—
1617	#117	—	53	4	no	—
1618	#117	—	53	4	no	—
1619	#117	—	53	4	no	—
1620	#117	—	53	4	no	—
1621	#117	—	53	4	no	—
1622	#117	—	53	4	no	—
1623	#117	C₂²×D₅₃	1	2	yes	—
1624	#117	C₂²×D₅₃	1	2	yes	—
1625	#117	C₂²×D₅₃	1	2	yes	—
1626	#117	C₂²×D₅₃	1	4	yes	complemented
1627	C₂×C₄⋊C₄	—	53	2	no	—
1628	C₂×C₄⋊C₄	—	53	2	no	—
1629	C₂×C₄⋊C₄	—	53	4	no	—
1630	C₂×C₄⋊C₄	—	53	2	no	—
1631	C₂×C₄⋊C₄	—	53	2	no	—
1632	C₂×C₄⋊C₄	—	53	4	no	—
1633	C₂×C₄⋊C₄	—	53	2	no	—
1634	C₂×C₄⋊C₄	—	53	2	no	—
1635	C₂×C₄⋊C₄	—	53	4	no	—
1636	C₂×C₄⋊C₄	—	53	4	no	—
1637	C₂×C₄⋊C₄	—	53	4	no	—
1638	C₂×C₄⋊C₄	—	53	4	no	—
1639	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1640	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1641	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1642	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1643	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	—
1644	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	—
1645	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1646	C₂×C₂²⋊C₄	—	53	2	no	—
1647	C₂×C₂²⋊C₄	—	53	2	no	—
1648	C₂×C₂²⋊C₄	—	53	2	no	—
1649	C₂×C₂²⋊C₄	—	53	2	no	—
1650	C₂×C₂²⋊C₄	—	53	2	no	—
1651	C₂×C₂²⋊C₄	—	53	2	no	—
1652	C₂×C₂²⋊C₄	—	53	4	no	—
1653	C₂×C₂²⋊C₄	—	53	2	no	—
1654	C₂×C₂²⋊C₄	—	53	2	no	—
1655	C₂×C₂²⋊C₄	—	53	4	no	—
1656	C₂×C₂²⋊C₄	—	53	4	no	—
1657	C₂×C₂²⋊C₄	—	53	4	no	—
1658	C₂×C₂²⋊C₄	—	53	2	no	—
1659	C₂×C₂²⋊C₄	—	53	2	no	—
1660	C₂×C₂²⋊C₄	—	53	4	no	—
1661	C₂×C₂²⋊C₄	—	53	4	no	—
1662	C₂×C₂²⋊C₄	—	53	4	no	—
1663	C₂×C₂²⋊C₄	—	53	4	no	—
1664	C₂×C₂²⋊C₄	—	53	4	no	—
1665	C₂×C₂²⋊C₄	—	53	4	no	—
1666	C₂×C₂²⋊C₄	—	53	4	no	—
1667	C₂×C₂²⋊C₄	—	53	4	no	—
1668	C₂×C₂²⋊C₄	—	53	4	no	—
1669	C₂×C₂²⋊C₄	—	53	4	no	—
1670	C₂×C₂²⋊C₄	—	53	4	no	—
1671	C₂×C₂²⋊C₄	—	53	4	no	—
1672	C₂×C₂²⋊C₄	—	53	4	no	—
1673	C₂×C₂²⋊C₄	—	53	4	no	—
1674	C₂×C₄²	—	53	4	no	—
1675	C₂⁴	—	53	1	no	—
1676	C₂⁴	—	53	2	no	—
1677	C₂⁴	—	53	2	no	—
1678	C₂⁴	—	53	2	no	—
1679	C₂⁴	—	53	2	no	—
1680	C₂⁴	—	53	2	no	—
1681	C₂⁴	—	53	4	no	—
1682	C₂⁴	—	53	1	no	—
1683	C₂⁴	—	53	4	no	—
1684	C₂⁴	—	106	4	no	—
1685	C₂⁴	—	212	2	no	—
1686	C₂⁴	—	212	2	no	—
1687	C₂⁴	—	212	2	no	—
1688	C₂⁴	—	212	2	no	—
1689	C₂⁴	—	212	2	no	—
1690	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1691	#41	—	4	4	no	—
1692	#41	—	4	4	no	—
1693	#41	—	4	4	no	—
1694	#41	—	212	4	no	—
1695	#41	—	212	4	no	—
1696	#41	—	212	4	no	—
1697	#41	—	212	8	no	—
1698	#41	—	212	8	no	—
1699	#41	—	212	8	no	—
1700	#41	—	212	8	no	—
1701	#41	—	212	4	no	—
1702	#41	—	212	4	no	—
1703	#41	—	212	8	no	—
1704	C₂×Q₈	—	53	2	no	—
1705	C₂×Q₈	—	53	4	no	—
1706	C₂×Q₈	—	53	2	no	—
1707	C₂×Q₈	—	53	4	no	—
1708	C₂×Q₈	—	53	2	no	—
1709	C₂×Q₈	—	212	4	no	—
1710	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1711	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1712	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1713	C₂×D₄	—	53	4	no	—
1714	C₂×D₄	—	53	4	no	—
1715	C₂×D₄	—	53	4	no	—
1716	C₂×D₄	—	53	4	no	—
1717	C₂×D₄	—	53	4	no	—
1718	C₂×D₄	—	53	4	no	—
1719	C₂×D₄	—	53	4	no	—
1720	C₂×D₄	—	53	4	no	—
1721	C₂×D₄	—	53	4	no	—
1722	C₂×D₄	—	53	4	no	—
1723	C₂×D₄	—	53	4	no	—
1724	C₂×D₄	—	53	4	no	—
1725	C₂×D₄	—	53	4	no	—
1726	C₂×D₄	—	53	4	no	—
1727	C₂×D₄	—	53	2	no	—
1728	C₂×D₄	—	53	4	no	—
1729	C₂×D₄	—	53	4	no	—
1730	C₂×D₄	—	53	4	no	—
1731	C₂×D₄	—	53	4	no	—
1732	C₂×D₄	—	53	2	no	—
1733	C₂×D₄	—	53	4	no	—
1734	C₂×D₄	—	53	4	no	—
1735	C₂×D₄	—	53	4	no	—
1736	C₂×D₄	—	53	2	no	—
1737	C₂×D₄	—	106	8	no	—
1738	C₂×D₄	—	106	16	no	—
1739	C₂×D₄	—	212	4	no	—
1740	C₂×D₄	—	212	4	no	—
1741	C₂×D₄	—	212	8	no	—
1742	C₂×D₄	—	212	4	no	—
1743	C₂×D₄	—	212	8	no	—
1744	C₂×D₄	—	212	4	no	—
1745	C₂×D₄	—	212	8	no	—
1746	C₂×D₄	—	212	8	no	—
1747	C₂×D₄	—	212	8	no	—
1748	C₂×D₄	—	212	8	no	—
1749	C₂×D₄	—	212	8	no	—
1750	C₂×D₄	—	212	8	no	—
1751	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1752	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1753	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1754	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1755	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1756	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1757	C₂²×C₄	—	4	2	no	—
1758	C₂²×C₄	—	4	2	no	—
1759	C₂²×C₄	—	4	2	no	—
1760	C₂²×C₄	—	53	2	no	—
1761	C₂²×C₄	—	53	2	no	—
1762	C₂²×C₄	—	53	2	no	—
1763	C₂²×C₄	—	53	2	no	—
1764	C₂²×C₄	—	53	1	no	—
1765	C₂²×C₄	—	53	2	no	—
1766	C₂²×C₄	—	53	1	no	—
1767	C₂²×C₄	—	53	4	no	—
1768	C₂²×C₄	—	53	4	no	—
1769	C₂²×C₄	—	53	2	no	—
1770	C₂²×C₄	—	53	2	no	—
1771	C₂²×C₄	—	53	2	no	—
1772	C₂²×C₄	—	53	4	no	—
1773	C₂²×C₄	—	53	2	no	—
1774	C₂²×C₄	—	53	4	no	—
1775	C₂²×C₄	—	53	4	no	—
1776	C₂²×C₄	—	53	4	no	—
1777	C₂²×C₄	—	53	4	no	—
1778	C₂²×C₄	—	53	4	no	—
1779	C₂²×C₄	—	53	4	no	—
1780	C₂²×C₄	—	53	4	no	—
1781	C₂²×C₄	—	53	4	no	—
1782	C₂²×C₄	—	53	4	no	—
1783	C₂²×C₄	—	53	4	no	—
1784	C₂²×C₄	—	53	2	no	—
1785	C₂²×C₄	—	53	2	no	—
1786	C₂²×C₄	—	53	2	no	—
1787	C₂²×C₄	—	53	2	no	—
1788	C₂²×C₄	—	106	8	no	—
1789	C₂²×C₄	—	212	4	no	—
1790	C₂²×C₄	—	212	4	no	—
1791	C₂²×C₄	—	212	4	no	—
1792	C₂²×C₄	—	212	4	no	—
1793	C₂²×C₄	—	212	4	no	—
1794	C₂²×C₄	—	212	8	no	—
1795	C₂²×C₄	—	212	2	no	—
1796	C₂²×C₄	—	212	2	no	—
1797	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1798	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1799	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1800	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1801	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1802	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1803	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1804	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1805	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1806	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1807	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1808	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1809	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1810	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1811	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1812	C₄⋊C₄	—	53	4	no	—
1813	C₄⋊C₄	—	53	4	no	—
1814	C₄⋊C₄	—	53	4	no	—
1815	C₄⋊C₄	—	53	4	no	—
1816	C₄⋊C₄	—	53	4	no	—
1817	C₄⋊C₄	—	53	4	no	—
1818	C₄⋊C₄	—	53	4	no	—
1819	C₄⋊C₄	—	53	4	no	—
1820	C₄⋊C₄	—	53	2	no	—
1821	C₄⋊C₄	—	53	4	no	—
1822	C₄⋊C₄	—	53	4	no	—
1823	C₄⋊C₄	—	53	2	no	—
1824	C₄⋊C₄	—	53	2	no	—
1825	C₄⋊C₄	—	53	4	no	—
1826	C₄⋊C₄	—	53	4	no	—
1827	C₄⋊C₄	—	53	4	no	—
1828	C₄⋊C₄	—	53	4	no	—
1829	C₄⋊C₄	—	53	4	no	—
1830	C₄⋊C₄	—	53	4	no	—
1831	C₄⋊C₄	—	53	2	no	—
1832	C₄⋊C₄	—	53	2	no	—
1833	C₄⋊C₄	—	53	2	no	—
1834	C₄⋊C₄	—	53	4	no	—
1835	C₄⋊C₄	—	53	4	no	—
1836	C₄⋊C₄	—	53	4	no	—
1837	C₄⋊C₄	—	53	4	no	—
1838	C₄⋊C₄	—	53	4	no	—
1839	C₄⋊C₄	—	53	4	no	—
1840	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1841	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1842	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1843	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1844	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1845	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1846	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1847	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1848	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1849	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1850	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1851	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1852	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1853	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1854	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1855	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1856	C₂²⋊C₄	—	53	4	no	—
1857	C₂²⋊C₄	—	53	4	no	—
1858	C₂²⋊C₄	—	53	4	no	—
1859	C₂²⋊C₄	—	53	4	no	—
1860	C₂²⋊C₄	—	53	4	no	—
1861	C₂²⋊C₄	—	53	4	no	—
1862	C₂²⋊C₄	—	53	4	no	—
1863	C₂²⋊C₄	—	53	4	no	—
1864	C₂²⋊C₄	—	53	4	no	—
1865	C₂²⋊C₄	—	53	4	no	—
1866	C₂²⋊C₄	—	53	4	no	—
1867	C₂²⋊C₄	—	53	4	no	—
1868	C₂²⋊C₄	—	53	4	no	—
1869	C₂²⋊C₄	—	53	4	no	—
1870	C₂²⋊C₄	—	53	4	no	—
1871	C₂²⋊C₄	—	53	4	no	—
1872	C₂²⋊C₄	—	53	4	no	—
1873	C₂²⋊C₄	—	53	4	no	—
1874	C₂²⋊C₄	—	53	4	no	—
1875	C₂²⋊C₄	—	53	4	no	—
1876	C₂²⋊C₄	—	53	4	no	—
1877	C₂²⋊C₄	—	53	4	no	—
1878	C₂²⋊C₄	—	53	4	no	—
1879	C₂²⋊C₄	—	53	4	no	—
1880	C₂²⋊C₄	—	53	4	no	—
1881	C₂²⋊C₄	—	53	4	no	—
1882	C₂²⋊C₄	—	53	4	no	—
1883	C₂²⋊C₄	—	53	4	no	—
1884	C₂²⋊C₄	—	53	4	no	—
1885	C₂²⋊C₄	—	53	4	no	—
1886	C₂²⋊C₄	—	53	4	no	—
1887	C₂²⋊C₄	—	53	4	no	—
1888	C₂²⋊C₄	—	53	4	no	—
1889	C₂²⋊C₄	—	53	4	no	—
1890	C₂²⋊C₄	—	53	4	no	—
1891	C₂²⋊C₄	—	53	4	no	—
1892	C₂²⋊C₄	—	53	4	no	—
1893	C₂²⋊C₄	—	53	4	no	—
1894	C₂²⋊C₄	—	53	4	no	—
1895	C₂²⋊C₄	—	53	4	no	—
1896	C₂²⋊C₄	—	53	4	no	—
1897	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1898	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1899	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1900	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1901	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1902	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1903	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1904	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1905	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1906	C₄²	—	53	4	no	—
1907	C₄²	—	53	4	no	—
1908	C₄²	—	53	4	no	—
1909	C₄²	—	53	4	no	—
1910	C₄²	—	53	4	no	—
1911	C₄²	—	53	4	no	—
1912	C₄²	—	53	4	no	—
1913	C₄²	C₂³×D₅₃	1	4	yes	—
1914	C₄²	C₂³×D₅₃	1	4	yes	—
1915	C₄²	C₂³×D₅₃	1	4	yes	—
1916	C₂³	—	2	2	no	—
1917	C₂³	—	2	2	no	—
1918	C₂³	—	2	2	no	—
1919	C₂³	—	53	2	no	—
1920	C₂³	—	53	4	no	—
1921	C₂³	—	53	4	no	—
1922	C₂³	—	53	2	no	—
1923	C₂³	—	53	4	no	—
1924	C₂³	—	106	8	no	—
1925	C₂³	—	106	4	no	—
1926	C₂³	—	106	4	no	—
1927	C₂³	—	106	4	no	—
1928	C₂³	—	106	4	no	—
1929	C₂³	—	106	4	no	—
1930	C₂³	—	106	2	no	—
1931	C₂³	—	106	4	no	—
1932	C₂³	—	106	4	no	—
1933	C₂³	—	424	8	no	—
1934	C₂³	—	212	4	no	—
1935	C₂³	—	212	4	no	—
1936	C₂³	—	212	4	no	—
1937	C₂³	—	212	2	no	—
1938	C₂³	—	212	2	no	—
1939	C₂³	—	212	4	no	—
1940	C₂³	—	212	4	no	—
1941	C₂³	—	212	2	no	—
1942	C₂³	—	212	2	no	—
1943	C₂³	—	212	2	no	—
1944	C₂³	—	212	2	no	—
1945	C₂³	—	212	1	no	—
1946	C₂³	—	212	2	no	—
1947	C₂³	—	212	1	no	—
1948	C₂³	—	212	1	no	—
1949	C₂³	—	212	2	no	—
1950	C₂³	—	212	1	no	—
1951	C₂³	—	212	16	no	—
1952	C₂³	C₂⁴×D₅₃	1	4	yes	—
1953	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1954	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1955	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1956	Q₈	—	4	2	no	—
1957	Q₈	—	4	2	no	—
1958	Q₈	—	4	2	no	—
1959	Q₈	—	212	2	no	—
1960	Q₈	—	212	4	no	—
1961	Q₈	—	212	2	no	—
1962	Q₈	—	212	4	no	—
1963	Q₈	—	212	2	no	—
1964	D₄	—	2	8	no	—
1965	D₄	—	2	8	no	—
1966	D₄	—	2	8	no	—
1967	D₄	—	4	2	no	—
1968	D₄	—	4	2	no	—
1969	D₄	—	4	2	no	—
1970	D₄	—	106	8	no	—
1971	D₄	—	106	8	no	—
1972	D₄	—	106	8	no	—
1973	D₄	—	106	8	no	—
1974	D₄	—	106	8	no	—
1975	D₄	—	106	8	no	—
1976	D₄	—	106	8	no	—
1977	D₄	—	212	4	no	—
1978	D₄	—	212	4	no	—
1979	D₄	—	212	4	no	—
1980	D₄	—	212	4	no	—
1981	D₄	—	212	4	no	—
1982	D₄	—	212	4	no	—
1983	D₄	—	212	2	no	—
1984	D₄	—	212	4	no	—
1985	D₄	—	212	2	no	—
1986	D₄	—	212	2	no	—
1987	D₄	—	212	4	no	—
1988	D₄	—	212	4	no	—
1989	D₄	—	212	4	no	—
1990	D₄	—	212	4	no	—
1991	D₄	—	212	4	no	—
1992	D₄	—	212	4	no	—
1993	D₄	—	212	4	no	—
1994	C₂×C₄	—	2	4	no	—
1995	C₂×C₄	—	2	4	no	—
1996	C₂×C₄	—	2	2	no	—
1997	C₂×C₄	—	2	2	no	—
1998	C₂×C₄	—	4	1	no	—
1999	C₂×C₄	—	4	2	no	—
2000	C₂×C₄	—	4	1	no	—
2001	C₂×C₄	—	4	2	no	—
2002	C₂×C₄	—	4	2	no	—
2003	C₂×C₄	—	4	1	no	—
2004	C₂×C₄	—	4	2	no	—
2005	C₂×C₄	—	4	1	no	—
2006	C₂×C₄	—	4	4	no	—
2007	C₂×C₄	—	4	4	no	—
2008	C₂×C₄	—	4	4	no	—
2009	C₂×C₄	—	53	4	no	—
2010	C₂×C₄	—	53	4	no	—
2011	C₂×C₄	—	53	2	no	—
2012	C₂×C₄	—	53	4	no	—
2013	C₂×C₄	—	53	4	no	—
2014	C₂×C₄	—	53	2	no	—
2015	C₂×C₄	—	106	4	no	—
2016	C₂×C₄	—	106	4	no	—
2017	C₂×C₄	—	106	4	no	—
2018	C₂×C₄	—	106	4	no	—
2019	C₂×C₄	—	106	8	no	—
2020	C₂×C₄	—	106	4	no	—
2021	C₂×C₄	—	106	4	no	—
2022	C₂×C₄	—	212	2	no	—
2023	C₂×C₄	—	212	2	no	—
2024	C₂×C₄	—	212	2	no	—
2025	C₂×C₄	—	212	2	no	—
2026	C₂×C₄	—	212	4	no	—
2027	C₂×C₄	—	212	4	no	—
2028	C₂×C₄	—	212	4	no	—
2029	C₂×C₄	—	212	4	no	—
2030	C₂×C₄	—	212	4	no	—
2031	C₂×C₄	—	212	4	no	—
2032	C₂×C₄	—	212	4	no	—
2033	C₂×C₄	—	212	4	no	—
2034	C₂×C₄	—	212	4	no	—
2035	C₂×C₄	—	212	4	no	—
2036	C₂×C₄	—	212	2	no	—
2037	C₂×C₄	—	212	2	no	—
2038	C₂×C₄	—	212	1	no	—
2039	C₂×C₄	—	212	2	no	—
2040	C₂×C₄	—	212	1	no	—
2041	C₂×C₄	—	212	4	no	—
2042	C₂×C₄	—	212	4	no	—
2043	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2044	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2045	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2046	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2047	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2048	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2049	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2050	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2051	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2052	C₂²	—	2	8	no	—
2053	C₂²	—	2	1	no	—
2054	C₂²	—	2	1	no	—
2055	C₂²	—	2	1	no	—
2056	C₂²	—	2	1	no	—
2057	C₂²	—	2	1	no	—
2058	C₂²	—	2	1	no	—
2059	C₂²	—	2	4	no	—
2060	C₂²	—	2	4	no	—
2061	C₂²	—	2	4	no	—
2062	C₂²	—	53	4	no	—
2063	C₂²	—	848	4	no	—
2064	C₂²	—	106	2	no	—
2065	C₂²	—	106	2	no	—
2066	C₂²	—	106	2	no	—
2067	C₂²	—	106	4	no	—
2068	C₂²	—	106	4	no	—
2069	C₂²	—	106	4	no	—
2070	C₂²	—	106	4	no	—
2071	C₂²	—	106	2	no	—
2072	C₂²	—	106	4	no	—
2073	C₂²	—	106	4	no	—
2074	C₂²	—	106	2	no	—
2075	C₂²	—	424	4	no	—
2076	C₂²	—	424	4	no	—
2077	C₂²	—	424	4	no	—
2078	C₂²	—	424	8	no	—
2079	C₂²	—	212	4	no	—
2080	C₂²	—	212	8	no	—
2081	C₂²	—	212	8	no	—
2082	C₂²	—	212	4	no	—
2083	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2084	C₂²	#16811459	1	2	yes	—
2085	C₂²	#16811460	1	2	yes	—
2086	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2087	C₄	—	2	2	no	—
2088	C₄	—	2	2	no	—
2089	C₄	—	2	2	no	—
2090	C₄	—	2	2	no	—
2091	C₄	—	2	4	no	—
2092	C₄	—	2	2	no	—
2093	C₄	—	2	2	no	—
2094	C₄	—	2	4	no	—
2095	C₄	—	2	4	no	—
2096	C₄	—	106	2	no	—
2097	C₄	—	106	2	no	—
2098	C₄	—	106	4	no	—
2099	C₄	—	106	4	no	—
2100	C₄	—	106	4	no	—
2101	C₄	—	106	4	no	—
2102	C₂	—	2	2	no	—
2103	C₂	—	2	2	no	—
2104	C₂	—	2	2	no	—
2105	C₂	—	4	4	no	—
2106	C₂	—	106	4	no	—
2107	C₂	—	212	4	no	—
2108	C₂	—	212	4	no	—
2109	C₂	—	212	2	no	—
2110	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2111	C₂	C₂×#16811459	1	1	yes	characteristic
2112	C₂	C₂×#16811460	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3492	C₂
hypercenter	#3492	D₅₃
hypocenter	C₅₃	#62820
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3492

Complements

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

N	H ≅ G/N	type
1. #20288925	C₂	semidirect
2. #20288921	C₂	semidirect
3. #20288919	C₂	semidirect
4. #20288910	C₂	semidirect
5. #20288894	C₂	semidirect
6. #20288892	C₂	semidirect
7. #20288885	C₂	semidirect
8. #20288881	C₂	semidirect
9. #20288658	C₂	semidirect
10. #20288657	C₂	semidirect
11. #20288646	C₂	semidirect
12. #20288645	C₂	semidirect
13. #20288424	C₂	semidirect
14. #20288416	C₂	semidirect
15. #20288410	C₂	semidirect
16. #20288398	C₂	semidirect
17. #20288398	C₂	semidirect
18. #20288398	C₂	semidirect
19. #20288354	C₂	semidirect
20. #20288348	C₂	semidirect
21. #525×D₅₃	C₂	semidirect
22. C₂²×#13133202	C₂	semidirect
23. C₅₃×#3492	C₂	semidirect
24. C₂×#13133263	C₂²	semidirect
25. C₂×#41×D₅₃	C₂²	semidirect
27. C₂³×C₄×D₅₃	C₂²	semidirect
28. #16811377	C₂²	semidirect
29. #16811372	C₂²	semidirect
30. #16811371	C₂²	semidirect
31. #16811370	C₂²	semidirect
32. #16811369	C₂²	semidirect
33. #16811369	C₂²	semidirect
34. #16811364	C₂²	semidirect
35. #16811361	C₂²	semidirect
36. #16811358	C₂²	semidirect
37. #16811357	C₂²	semidirect
38. #16811332	C₂²	semidirect
39. #16811328	C₂²	semidirect
40. #16811327	C₂²	semidirect
41. #16811326	C₂²	semidirect
42. #16811324	C₂²	semidirect
43. #16811322	C₂²	semidirect
44. #16811322	C₂²	semidirect
45. #16811321	C₂²	semidirect
46. #16811321	C₂²	semidirect
47. #16811316	C₂²	semidirect
48. #16811314	C₂²	semidirect
49. #16811311	C₂²	semidirect
50. #16811310	C₂²	semidirect
51. #16811308	C₂²	semidirect
52. #16811306	C₂²	semidirect
53. #16811305	C₂²	semidirect
54. #16811305	C₂²	semidirect
55. #16811302	C₂²	semidirect
56. #16811302	C₂²	semidirect
57. #16811302	C₂²	semidirect
58. #16811300	C₂²	semidirect
59. #16811300	C₂²	semidirect
60. #16811300	C₂²	semidirect
61. #16811300	C₂²	semidirect
62. #16811300	C₂²	semidirect
63. #16811298	C₂²	semidirect
64. #16811298	C₂²	semidirect
65. #16811297	C₂²	semidirect
66. #16811297	C₂²	semidirect
67. #16811297	C₂²	semidirect
68. #16811297	C₂²	semidirect
69. #16811297	C₂²	semidirect
70. #16811296	C₂²	semidirect
71. #16811296	C₂²	semidirect
72. #16811296	C₂²	semidirect
73. #16811276	C₂²	semidirect
74. #16811275	C₂²	semidirect
75. #16811274	C₂²	semidirect
76. #16811274	C₂²	semidirect
77. #16811272	C₂²	semidirect
78. #16811271	C₂²	semidirect
79. #16811271	C₂²	semidirect
80. #16811269	C₂²	semidirect
81. #16811269	C₂²	semidirect
82. #16811269	C₂²	semidirect
83. #16811268	C₂²	semidirect
84. #16811268	C₂²	semidirect
85. #16811268	C₂²	semidirect
86. #16811265	C₂²	semidirect
87. #16811265	C₂²	semidirect
88. #16811265	C₂²	semidirect
89. #16811265	C₂²	semidirect
90. #16811264	C₂²	semidirect
91. #16811264	C₂²	semidirect
92. #16811264	C₂²	semidirect
93. #16811262	C₂²	semidirect
94. #16811262	C₂²	semidirect
95. #16811262	C₂²	semidirect
96. #16811262	C₂²	semidirect
97. #16811261	C₂²	semidirect
98. #16811261	C₂²	semidirect
99. #16811261	C₂²	semidirect
100. D₄×D₂₁₂	C₂²	semidirect
101. D₄×D₂₁₂	C₂²	semidirect
102. #16811257	C₂²	semidirect
103. #16811257	C₂²	semidirect
104. #16811254	C₂²	semidirect
105. #16811252	C₂²	semidirect
106. #16811248	C₂²	semidirect
107. #16811248	C₂²	semidirect
108. #16811248	C₂²	semidirect
109. #16811247	C₂²	semidirect
110. #16811245	C₂²	semidirect
111. #16811243	C₂²	semidirect
112. #16811239	C₂²	semidirect
113. #16811229	C₂²	semidirect
114. #16811228	C₂²	semidirect
115. #16811225	C₂²	semidirect
116. #16811223	C₂²	semidirect
117. #16811222	C₂²	semidirect
118. #16811222	C₂²	semidirect
119. #16811221	C₂²	semidirect
120. #16811221	C₂²	semidirect
121. #16811221	C₂²	semidirect
122. #16811221	C₂²	semidirect
123. #16811220	C₂²	semidirect
124. #16811220	C₂²	semidirect
125. #16811220	C₂²	semidirect
126. #16811219	C₂²	semidirect
127. #16811218	C₂²	semidirect
128. #16811215	C₂²	semidirect
129. #16811214	C₂²	semidirect
130. #16811213	C₂²	semidirect
131. #16811213	C₂²	semidirect
132. #16811213	C₂²	semidirect
133. #16811213	C₂²	semidirect
134. #16811212	C₂²	semidirect
135. #16811210	C₂²	semidirect
136. #16811210	C₂²	semidirect
137. #16811210	C₂²	semidirect
138. #16811209	C₂²	semidirect
139. #16811206	C₂²	semidirect
140. #16811206	C₂²	semidirect
141. #16811206	C₂²	semidirect
142. #16811206	C₂²	semidirect
143. #16811204	C₂²	semidirect
144. #16811200	C₂²	semidirect
145. #16811198	C₂²	semidirect
146. #16811196	C₂²	semidirect
147. #16811192	C₂²	semidirect
148. #16811187	C₂²	semidirect
150. #16811184	C₂²	semidirect
151. #16811184	C₂²	semidirect
152. #16811181	C₂²	semidirect
153. #16811181	C₂²	semidirect
154. #16811181	C₂²	semidirect
155. #16811181	C₂²	semidirect
156. #16811160	C₂²	semidirect
157. #16811158	C₂²	semidirect
158. #16811156	C₂²	semidirect
159. #16811151	C₂²	semidirect
160. #16811136	C₂²	semidirect
161. #16811136	C₂²	semidirect
162. #16811136	C₂²	semidirect
163. #16811135	C₂²	semidirect
164. #16811134	C₂²	semidirect
165. #16811134	C₂²	semidirect
166. #16811134	C₂²	semidirect
167. #16811133	C₂²	semidirect
168. #16811133	C₂²	semidirect
169. #16811132	C₂²	semidirect
170. #16811132	C₂²	semidirect
171. #16811132	C₂²	semidirect
172. #16811131	C₂²	semidirect
173. #16811130	C₂²	semidirect
174. #16811129	C₂²	semidirect
175. #16811129	C₂²	semidirect
176. C₂×#13133202	C₂²	semidirect
177. C₂×#13133202	C₂²	semidirect
178. C₂×#13133202	C₂²	semidirect
179. C₂×#13133202	C₂²	semidirect
180. C₂×#13133202	C₂²	semidirect
181. C₂×#13133202	C₂²	semidirect
182. C₂×#13133202	C₂²	semidirect
183. C₂×#13133202	C₂²	semidirect
184. C₂×#13133202	C₂²	semidirect
185. #123×D₅₃	C₂²	semidirect
186. #123×D₅₃	C₂²	semidirect
187. C₂²⋊Q₈×D₅₃	C₂²	semidirect
188. C₂²⋊Q₈×D₅₃	C₂²	semidirect
189. #121×D₅₃	C₂²	semidirect
190. #121×D₅₃	C₂²	semidirect
191. #120×D₅₃	C₂²	semidirect
192. #120×D₅₃	C₂²	semidirect
193. #16811104	C₂²	semidirect
194. #16811102	C₂²	semidirect
195. #16811097	C₂²	semidirect
196. #16811095	C₂²	semidirect
197. #16811095	C₂²	semidirect
198. #16811095	C₂²	semidirect
199. C₄×D₄×D₅₃	C₂²	semidirect
200. C₄×D₄×D₅₃	C₂²	semidirect
201. #117×D₅₃	C₂²	semidirect
202. C₂²×#11719919	C₂²	semidirect
203. C₂²×#11719921	C₂²	semidirect
204. C₂²×#11719921	C₂²	semidirect
205. C₂²×#11719921	C₂²	semidirect
206. C₅₃×#554	C₂²	semidirect
207. C₅₃×#553	C₂²	semidirect
208. C₅₃×#552	C₂²	semidirect
209. C₅₃×#547	C₂²	semidirect
210. C₅₃×#544	C₂²	semidirect
211. C₅₃×#539	C₂²	semidirect
212. C₅₃×#539	C₂²	semidirect
213. C₅₃×#537	C₂²	semidirect
214. C₅₃×#525	C₂²	semidirect
215. C₅₃×#525	C₂²	semidirect
216. C₅₃×#525	C₂²	semidirect
217. C₅₃×#520	C₂²	semidirect
218. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
223. C₂×#11719949	C₂³	semidirect
228. C₂×#11719945	C₂³	semidirect
231. C₂×#11719947	C₂³	semidirect
233. C₂×Q₈×D₅₃	C₂³	semidirect
248. C₂×D₄×D₅₃	C₂³	semidirect
258. C₂²×C₄×D₅₃	C₂³	semidirect
259. #13133216	C₂³	semidirect
260. #13133216	C₂³	semidirect
261. #13133215	C₂³	semidirect
264. #13133212	C₂³	semidirect
265. #13133212	C₂³	semidirect
266. #13133212	C₂³	semidirect
267. #13133212	C₂³	semidirect
268. #13133212	C₂³	semidirect
269. #13133212	C₂³	semidirect
270. #13133212	C₂³	semidirect
271. #13133212	C₂³	semidirect
272. #13133212	C₂³	semidirect
273. #13133212	C₂³	semidirect
274. #13133212	C₂³	semidirect
275. #13133212	C₂³	semidirect
276. #13133211	C₂³	semidirect
277. #13133211	C₂³	semidirect
278. #13133211	C₂³	semidirect
279. #13133211	C₂³	semidirect
280. #13133210	C₂³	semidirect
281. #13133210	C₂³	semidirect
282. #13133209	C₂³	semidirect
283. #13133208	C₂³	semidirect
284. #13133208	C₂³	semidirect
285. #13133207	C₂³	semidirect
286. #13133207	C₂³	semidirect
287. #13133207	C₂³	semidirect
288. #13133207	C₂³	semidirect
289. #13133207	C₂³	semidirect
290. #13133207	C₂³	semidirect
292. #13133206	C₂³	semidirect
293. #13133206	C₂³	semidirect
294. #13133206	C₂³	semidirect
296. #13133205	C₂³	semidirect
297. #13133205	C₂³	semidirect
298. #13133205	C₂³	semidirect
299. #13133203	C₂³	semidirect
300. #13133203	C₂³	semidirect
301. #13133203	C₂³	semidirect
302. #13133203	C₂³	semidirect
303. #13133203	C₂³	semidirect
304. #13133203	C₂³	semidirect
325. #13133202	C₂³	semidirect
326. #13133202	C₂³	semidirect
327. #13133202	C₂³	semidirect
328. #13133202	C₂³	semidirect
329. #13133202	C₂³	semidirect
330. #13133202	C₂³	semidirect
331. #13133202	C₂³	semidirect
332. #13133202	C₂³	semidirect
333. #13133202	C₂³	semidirect
334. #13133202	C₂³	semidirect
335. #13133202	C₂³	semidirect
336. #13133202	C₂³	semidirect
337. #13133202	C₂³	semidirect
338. #13133202	C₂³	semidirect
341. #13133201	C₂³	semidirect
342. #13133201	C₂³	semidirect
343. #13133201	C₂³	semidirect
347. #13133200	C₂³	semidirect
348. #13133200	C₂³	semidirect
349. #13133200	C₂³	semidirect
350. #13133200	C₂³	semidirect
351. #13133199	C₂³	semidirect
352. #13133199	C₂³	semidirect
353. #13133199	C₂³	semidirect
354. #13133199	C₂³	semidirect
355. #13133199	C₂³	semidirect
356. #13133199	C₂³	semidirect
359. #13133198	C₂³	semidirect
360. #13133197	C₂³	semidirect
361. #13133197	C₂³	semidirect
362. #13133197	C₂³	semidirect
363. #13133197	C₂³	semidirect
364. #13133197	C₂³	semidirect
365. #13133197	C₂³	semidirect
372. #13133196	C₂³	semidirect
373. #13133195	C₂³	semidirect
374. #13133195	C₂³	semidirect
375. #13133195	C₂³	semidirect
376. #13133195	C₂³	semidirect
377. #13133195	C₂³	semidirect
378. #13133195	C₂³	semidirect
379. #13133195	C₂³	semidirect
380. #13133195	C₂³	semidirect
381. #13133195	C₂³	semidirect
382. #13133195	C₂³	semidirect
383. #13133195	C₂³	semidirect
384. #13133195	C₂³	semidirect
389. #13133194	C₂³	semidirect
390. #13133194	C₂³	semidirect
391. #13133193	C₂³	semidirect
392. #13133193	C₂³	semidirect
393. #13133193	C₂³	semidirect
394. #13133193	C₂³	semidirect
395. #13133193	C₂³	semidirect
396. #13133193	C₂³	semidirect
403. #13133192	C₂³	semidirect
404. #13133192	C₂³	semidirect
405. #13133192	C₂³	semidirect
406. #13133192	C₂³	semidirect
407. #13133192	C₂³	semidirect
408. #13133192	C₂³	semidirect
417. #13133191	C₂³	semidirect
418. #13133191	C₂³	semidirect
419. #13133191	C₂³	semidirect
424. #13133190	C₂³	semidirect
425. #13133190	C₂³	semidirect
426. #13133190	C₂³	semidirect
427. #13133190	C₂³	semidirect
428. #13133190	C₂³	semidirect
429. #13133190	C₂³	semidirect
434. #13133189	C₂³	semidirect
435. #13133189	C₂³	semidirect
436. #13133189	C₂³	semidirect
437. #13133189	C₂³	semidirect
438. #13133188	C₂³	semidirect
439. #13133188	C₂³	semidirect
450. #13133187	C₂³	semidirect
451. #13133187	C₂³	semidirect
452. #13133187	C₂³	semidirect
460. #13133185	C₂³	semidirect
461. #13133185	C₂³	semidirect
462. #13133185	C₂³	semidirect
463. C₄×Dic₁₀₆	C₂³	semidirect
464. #13133182	C₂³	semidirect
465. #13133182	C₂³	semidirect
468. C₄×D₂₁₂	C₂³	semidirect
469. C₄×D₂₁₂	C₂³	semidirect
470. C₄×D₂₁₂	C₂³	semidirect
471. C₄×D₂₁₂	C₂³	semidirect
472. C₄×D₂₁₂	C₂³	semidirect
479. #13133179	C₂³	semidirect
480. #13133179	C₂³	semidirect
481. #13133179	C₂³	semidirect
482. #13133179	C₂³	semidirect
483. #13133179	C₂³	semidirect
484. #13133179	C₂³	semidirect
491. C₄×C₂²⋊D₅₃	C₂³	semidirect
492. C₄×C₂²⋊D₅₃	C₂³	semidirect
493. C₄×C₂²⋊D₅₃	C₂³	semidirect
494. C₄×C₂²⋊D₅₃	C₂³	semidirect
495. C₄×C₂²⋊D₅₃	C₂³	semidirect
496. C₄×C₂²⋊D₅₃	C₂³	semidirect
501. #13133177	C₂³	semidirect
502. #13133177	C₂³	semidirect
503. #13133177	C₂³	semidirect
504. #13133177	C₂³	semidirect
505. #13133177	C₂³	semidirect
506. #13133177	C₂³	semidirect
510. #13133175	C₂³	semidirect
511. #13133175	C₂³	semidirect
512. #13133175	C₂³	semidirect
513. #13133175	C₂³	semidirect
514. #13133175	C₂³	semidirect
515. #13133175	C₂³	semidirect
516. #13133174	C₂³	semidirect
517. #13133174	C₂³	semidirect
518. #13133174	C₂³	semidirect
519. #13133174	C₂³	semidirect
520. #13133174	C₂³	semidirect
523. #13133173	C₂³	semidirect
529. C₂×#11719919	C₂³	semidirect
530. C₄⋊C₄×D₅₃	C₂³	semidirect
531. C₄⋊C₄×D₅₃	C₂³	semidirect
532. C₄⋊C₄×D₅₃	C₂³	semidirect
533. C₄⋊C₄×D₅₃	C₂³	semidirect
534. C₄⋊C₄×D₅₃	C₂³	semidirect
535. C₄⋊C₄×D₅₃	C₂³	semidirect
550. C₂×#11719921	C₂³	semidirect
551. C₂×#11719921	C₂³	semidirect
552. C₂×#11719921	C₂³	semidirect
559. C₂²⋊C₄×D₅₃	C₂³	semidirect
560. C₂²⋊C₄×D₅₃	C₂³	semidirect
561. C₂²⋊C₄×D₅₃	C₂³	semidirect
562. C₂²⋊C₄×D₅₃	C₂³	semidirect
563. C₂²⋊C₄×D₅₃	C₂³	semidirect
564. C₄²×D₅₃	C₂³	semidirect
571. C₄⋊Q₈×C₅₃	C₂³	semidirect
572. #126×C₅₃	C₂³	semidirect
573. #126×C₅₃	C₂³	semidirect
574. #125×C₅₃	C₂³	semidirect
575. #125×C₅₃	C₂³	semidirect
576. #125×C₅₃	C₂³	semidirect
580. #123×C₅₃	C₂³	semidirect
581. #123×C₅₃	C₂³	semidirect
588. C₂²⋊Q₈×C₅₃	C₂³	semidirect
589. C₂²⋊Q₈×C₅₃	C₂³	semidirect
590. C₂²⋊Q₈×C₅₃	C₂³	semidirect
597. #121×C₅₃	C₂³	semidirect
599. C₄×Q₈×C₅₃	C₂³	semidirect
606. C₄×D₄×C₅₃	C₂³	semidirect
610. #117×C₅₃	C₂³	semidirect
617. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
1060. #3492	D₅₃	semidirect
1097. #554	C₂×D₅₃	semidirect
1105. #553	C₂×D₅₃	semidirect
1113. #552	C₂×D₅₃	semidirect
1139. #547	C₂×D₅₃	semidirect
1166. #544	C₂×D₅₃	semidirect
1191. #539	C₂×D₅₃	semidirect
1192. #539	C₂×D₅₃	semidirect
1208. #537	C₂×D₅₃	semidirect
1240. #525	C₂×D₅₃	semidirect
1241. #525	C₂×D₅₃	semidirect
1242. #525	C₂×D₅₃	semidirect
1262. #520	C₂×D₅₃	semidirect
1271. C₂²×C₄⋊C₄	C₂×D₅₃	semidirect
1275. C₅₃	#62820	semidirect
1325. C₄⋊Q₈	C₂²×D₅₃	semidirect
1346. #126	C₂²×D₅₃	semidirect
1347. #126	C₂²×D₅₃	semidirect
1357. #125	C₂²×D₅₃	semidirect
1358. #125	C₂²×D₅₃	semidirect
1359. #125	C₂²×D₅₃	semidirect
1432. #123	C₂²×D₅₃	semidirect
1433. #123	C₂²×D₅₃	semidirect
1477. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1478. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1479. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1529. #121	C₂²×D₅₃	semidirect
1557. C₄×Q₈	C₂²×D₅₃	semidirect
1605. C₄×D₄	C₂²×D₅₃	semidirect
1626. #117	C₂²×D₅₃	semidirect
1645. 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
#20288925	2
#20288921	2
#20288919	2
#20288910	2
#20288894	2
#20288892	2
#20288885	2
#20288881	2
#20288658	2
#20288657	2
#20288646	2
#20288645	2
#20288424	2
#20288416	2
#20288410	2
#20288398	2
#20288354	2
#20288348	2
#525×D₅₃	2
C₂²×#13133202	2
C₅₃×#3492	2
#62820	53