Subgroups — #28292722

Order 13568.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289031	C₂	1	4	yes	maximal, complemented
2	#20289023	C₂	1	4	yes	maximal, complemented
3	#20288954	C₂	1	2	yes	maximal, complemented
4	#20288950	C₂	1	2	yes	maximal, complemented
5	#20288944	C₂	1	2	yes	maximal, complemented
6	#20288942	C₂	1	2	yes	maximal, complemented
7	#20288909	C₂	1	4	yes	maximal, complemented
8	#20288899	C₂	1	4	yes	maximal, complemented
9	#20288747	C₂	1	4	yes	maximal, complemented
10	#20288735	C₂	1	4	yes	maximal, complemented
11	#20288556	C₂	1	2	yes	maximal, complemented
12	#20288554	C₂	1	2	yes	maximal, complemented
13	#20288479	C₂	1	2	yes	maximal, complemented
14	#20288472	C₂	1	2	yes	maximal, complemented
15	#20288452	C₂	1	2	yes	maximal, complemented
16	#20288450	C₂	1	2	yes	maximal, complemented
17	#20288421	C₂	1	2	yes	maximal, complemented
18	#20288398	C₂	1	4	yes	maximal, complemented
19	#20288384	C₂	1	2	yes	maximal, complemented
20	#20288376	C₂	1	2	yes	maximal, complemented
21	#20288348	C₂	1	2	yes	maximal, complemented
22	#20288344	C₂	1	4	yes	maximal, complemented
23	C₂×#16811134	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#13133191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×C₅₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#13133263	C₂²	1	2	yes	complemented
27	C₂×#13133262	C₂²	1	4	yes	complemented
28	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
31	#16811370	C₂²	1	8	yes	complemented
32	#16811369	C₂²	1	8	yes	complemented
33	#16811363	C₂²	1	8	yes	complemented
34	#16811361	C₂²	1	8	yes	complemented
35	#16811338	C₂²	1	4	yes	complemented
36	#16811336	C₂²	1	4	yes	complemented
37	#16811331	C₂²	1	4	yes	complemented
38	#16811330	C₂²	1	4	yes	complemented
39	#16811325	C₂²	1	4	yes	complemented
40	#16811322	C₂²	1	8	yes	complemented
41	#16811321	C₂²	1	8	yes	complemented
42	#16811321	C₂²	1	4	yes	complemented
43	#16811319	C₂²	1	4	yes	complemented
44	#16811319	C₂²	1	4	yes	complemented
45	#16811319	C₂²	1	4	yes	complemented
46	#16811317	C₂²	1	4	yes	complemented
47	#16811315	C₂²	1	4	yes	complemented
48	#16811313	C₂²	1	4	yes	complemented
49	#16811302	C₂²	1	8	yes	complemented
50	#16811300	C₂²	1	8	yes	complemented
51	#16811297	C₂²	1	8	yes	complemented
52	#16811296	C₂²	1	8	yes	complemented
53	#16811294	C₂²	1	4	yes	complemented
54	#16811292	C₂²	1	4	yes	complemented
55	#16811284	C₂²	1	4	yes	complemented
56	#16811282	C₂²	1	4	yes	complemented
57	#16811277	C₂²	1	4	yes	complemented
58	#16811277	C₂²	1	4	yes	complemented
59	#16811274	C₂²	1	4	yes	complemented
60	#16811273	C₂²	1	4	yes	complemented
61	#16811269	C₂²	1	4	yes	complemented
62	#16811269	C₂²	1	4	yes	complemented
63	#16811269	C₂²	1	4	yes	complemented
64	#16811268	C₂²	1	8	yes	complemented
65	#16811268	C₂²	1	8	yes	complemented
66	#16811265	C₂²	1	8	yes	complemented
67	#16811264	C₂²	1	4	yes	complemented
68	#16811264	C₂²	1	4	yes	complemented
69	#16811263	C₂²	1	8	yes	complemented
70	#16811263	C₂²	1	8	yes	complemented
71	#16811263	C₂²	1	8	yes	complemented
72	#16811262	C₂²	1	8	yes	complemented
73	#16811261	C₂²	1	8	yes	complemented
74	#16811261	C₂²	1	4	yes	complemented
75	#16811260	C₂²	1	8	yes	complemented
76	#16811260	C₂²	1	8	yes	complemented
77	D₄×D₂₁₂	C₂²	1	4	yes	complemented
78	D₄×D₂₁₂	C₂²	1	4	yes	complemented
79	D₄×D₂₁₂	C₂²	1	4	yes	complemented
80	#16811257	C₂²	1	4	yes	complemented
81	#16811257	C₂²	1	4	yes	complemented
82	D₄×C₂²⋊D₅₃	C₂²	1	8	yes	complemented
83	D₄×C₂²⋊D₅₃	C₂²	1	8	yes	complemented
84	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
85	#16811255	C₂²	1	8	yes	complemented
86	#16811255	C₂²	1	8	yes	complemented
87	#16811251	C₂²	1	2	yes	complemented
88	#16811248	C₂²	1	4	yes	complemented
89	#16811246	C₂²	1	4	yes	complemented
90	#16811244	C₂²	1	4	yes	complemented
91	#16811228	C₂²	1	4	yes	complemented
92	#16811226	C₂²	1	4	yes	complemented
93	#16811225	C₂²	1	8	yes	complemented
94	#16811224	C₂²	1	8	yes	complemented
95	#16811222	C₂²	1	4	yes	complemented
96	#16811220	C₂²	1	4	yes	complemented
97	#16811217	C₂²	1	8	yes	complemented
98	#16811213	C₂²	1	4	yes	complemented
99	#16811213	C₂²	1	4	yes	complemented
100	#16811211	C₂²	1	4	yes	complemented
101	#16811210	C₂²	1	4	yes	complemented
102	#16811209	C₂²	1	8	yes	complemented
103	#16811206	C₂²	1	8	yes	complemented
104	#16811206	C₂²	1	8	yes	complemented
105	#16811204	C₂²	1	4	yes	complemented
106	#16811203	C₂²	1	4	yes	complemented
107	#16811201	C₂²	1	2	yes	complemented
108	#16811201	C₂²	1	4	yes	complemented
109	#16811200	C₂²	1	4	yes	complemented
110	#16811192	C₂²	1	2	yes	complemented
111	#16811189	C₂²	1	4	yes	complemented
112	#16811188	C₂²	1	8	yes	complemented
113	#16811187	C₂²	1	2	yes	complemented
114	#16811187	C₂²	1	4	yes	complemented
115	#16811185	C₂²	1	4	yes	complemented
116	#16811185	C₂²	1	4	yes	complemented
117	#16811184	C₂²	1	8	yes	complemented
118	#16811183	C₂²	1	8	yes	complemented
119	#16811182	C₂²	1	4	yes	complemented
120	#16811181	C₂²	1	4	yes	complemented
121	#16811181	C₂²	1	4	yes	complemented
122	#16811173	C₂²	1	4	yes	complemented
123	#16811168	C₂²	1	4	yes	complemented
124	#16811159	C₂²	1	4	yes	complemented
125	#16811157	C₂²	1	4	yes	complemented
126	#16811136	C₂²	1	4	yes	complemented
127	#16811134	C₂²	1	2	yes	complemented
128	#16811134	C₂²	1	2	yes	complemented
129	#16811134	C₂²	1	2	yes	complemented
130	#16811134	C₂²	1	2	yes	complemented
131	#16811134	C₂²	1	2	yes	complemented
132	#16811134	C₂²	1	2	yes	complemented
133	#16811134	C₂²	1	2	yes	complemented
134	#16811134	C₂²	1	2	yes	complemented
135	#16811134	C₂²	1	4	yes	complemented
136	#16811129	C₂²	1	8	yes	complemented
137	C₂×#13133200	C₂²	1	2	yes	complemented
138	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
139	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
140	C₂×#13133191	C₂²	1	2	yes	complemented
141	C₂×#13133191	C₂²	1	2	yes	complemented
142	C₂×#13133191	C₂²	1	2	yes	complemented
143	C₂×#13133191	C₂²	1	2	yes	complemented
144	C₂×#13133191	C₂²	1	2	yes	complemented
145	C₂×#13133191	C₂²	1	2	yes	complemented
146	C₂×#13133191	C₂²	1	2	yes	complemented
147	C₂×#13133191	C₂²	1	2	yes	complemented
148	C₂×#13133191	C₂²	1	2	yes	complemented
149	C₂×#13133191	C₂²	1	2	yes	complemented
150	C₂×#13133191	C₂²	1	2	yes	complemented
151	C₂×#13133191	C₂²	1	2	yes	complemented
152	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
153	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
154	C₂×#13133191	C₂²	1	4	yes	complemented
155	#121×D₅₃	C₂²	1	4	yes	complemented
156	C₂×#13133186	C₂²	1	2	yes	complemented
157	#120×D₅₃	C₂²	1	8	yes	complemented
158	#16811106	C₂²	1	2	yes	complemented
159	#16811103	C₂²	1	2	yes	complemented
160	#16811097	C₂²	1	2	yes	complemented
161	#16811096	C₂²	1	4	yes	complemented
162	#16811095	C₂²	1	8	yes	complemented
163	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
164	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
165	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
166	C₂²×C₄⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
167	C₂²×#11719921	C₂²	1	2	yes	complemented
168	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
169	C₂⁴×C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
170	C₅₃×#525	C₂²	1	2	yes	complemented
171	C₅₃×#525	C₂²	1	2	yes	complemented
172	C₅₃×#525	C₂²	1	2	yes	complemented
173	C₅₃×#525	C₂²	1	2	yes	complemented
174	C₅₃×#525	C₂²	1	2	yes	complemented
175	C₅₃×#525	C₂²	1	2	yes	complemented
176	C₅₃×#525	C₂²	1	2	yes	complemented
177	C₅₃×#525	C₂²	1	2	yes	complemented
178	C₂×#123×C₅₃	C₂²	1	2	yes	complemented
179	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
180	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
181	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
184	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
185	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
186	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₅₃	C₂³	1	2	yes	—
188	#13133263	—	4	8	no	—
189	#13133262	—	4	16	no	—
190	C₂×#11719949	C₂³	1	4	yes	complemented
191	C₂×#11719945	—	4	4	no	—
192	C₂×#11719945	C₂³	1	2	yes	—
193	C₂×#11719945	C₂³	1	2	yes	—
194	C₂×#11719945	C₂³	1	4	yes	complemented
195	C₂×#11719945	C₂³	1	2	yes	complemented
196	C₂×#11719945	C₂³	1	8	yes	complemented
197	C₂×#11719945	C₂³	1	2	yes	complemented
198	C₂×#11719947	C₂³	1	8	yes	—
199	C₂×#11719947	C₂³	1	8	yes	complemented
200	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
201	C₂²×D₂₁₂	—	4	4	no	—
202	C₂²×D₂₁₂	C₂³	1	2	yes	—
203	C₂²×D₂₁₂	C₂³	1	2	yes	—
204	C₂²×D₂₁₂	C₂³	1	2	yes	—
205	C₂²×D₂₁₂	C₂³	1	2	yes	—
206	C₂²×D₂₁₂	C₂³	1	2	yes	—
207	C₂²×D₂₁₂	C₂³	1	2	yes	—
208	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
209	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
210	C₂²×C₂²⋊D₅₃	—	4	8	no	—
211	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
212	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
213	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
214	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
215	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
216	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
217	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
218	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
219	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
220	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
221	C₂×D₄×D₅₃	C₂³	1	8	yes	—
222	C₂×D₄×D₅₃	C₂³	1	8	yes	—
223	C₂×D₄×D₅₃	C₂³	1	8	yes	—
224	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
225	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
226	C₂³×Dic₅₃	C₂³	1	2	yes	—
227	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
228	#13133217	C₂³	1	4	yes	complemented
229	#13133216	C₂³	1	4	yes	complemented
230	#13133214	C₂³	1	4	yes	complemented
231	#13133213	C₂³	1	8	yes	complemented
232	#13133213	C₂³	1	4	yes	complemented
233	#13133213	C₂³	1	8	yes	complemented
234	#13133212	C₂³	1	8	yes	complemented
235	#13133212	C₂³	1	8	yes	complemented
236	#13133212	C₂³	1	8	yes	complemented
237	#13133212	C₂³	1	8	yes	complemented
238	#13133211	C₂³	1	8	yes	complemented
239	#13133210	C₂³	1	8	yes	complemented
240	#13133209	C₂³	1	4	yes	complemented
241	#13133208	C₂³	1	4	yes	complemented
242	#13133208	C₂³	1	8	yes	complemented
243	#13133207	C₂³	1	8	yes	complemented
244	#13133206	C₂³	1	4	yes	complemented
245	#13133206	C₂³	1	8	yes	complemented
246	#13133205	C₂³	1	8	yes	complemented
247	#13133205	C₂³	1	4	yes	complemented
248	#13133203	C₂³	1	8	yes	complemented
249	#13133203	C₂³	1	8	yes	complemented
250	#13133203	C₂³	1	8	yes	complemented
251	#13133203	C₂³	1	8	yes	complemented
252	#13133202	C₂³	1	8	yes	complemented
253	#13133202	C₂³	1	8	yes	complemented
254	#13133202	C₂³	1	8	yes	complemented
255	#13133202	C₂³	1	8	yes	complemented
256	#13133202	C₂³	1	8	yes	complemented
257	#13133201	C₂³	1	8	yes	—
258	#13133201	C₂³	1	8	yes	complemented
259	#13133201	C₂³	1	8	yes	complemented
260	#13133201	C₂³	1	8	yes	complemented
261	#13133200	C₂³	1	4	yes	—
262	#13133200	C₂³	1	4	yes	—
263	#13133200	C₂³	1	8	yes	complemented
264	#13133200	C₂³	1	8	yes	complemented
265	#13133200	C₂³	1	4	yes	complemented
266	#13133200	C₂³	1	4	yes	complemented
267	#13133199	C₂³	1	8	yes	complemented
268	#13133199	C₂³	1	8	yes	complemented
269	#13133199	C₂³	1	8	yes	complemented
270	#13133199	C₂³	1	8	yes	complemented
271	#13133198	C₂³	1	8	yes	—
272	#13133197	C₂³	1	8	yes	complemented
273	#13133197	C₂³	1	8	yes	complemented
274	#13133196	C₂³	1	2	yes	—
275	#13133196	C₂³	1	2	yes	—
276	#13133196	C₂³	1	2	yes	—
277	#13133196	C₂³	1	2	yes	—
278	#13133196	C₂³	1	4	yes	complemented
279	#13133196	C₂³	1	2	yes	complemented
280	#13133196	C₂³	1	2	yes	complemented
281	#13133196	C₂³	1	2	yes	complemented
282	#13133196	C₂³	1	2	yes	complemented
283	#13133195	C₂³	1	8	yes	complemented
284	#13133195	C₂³	1	8	yes	complemented
285	#13133194	C₂³	1	8	yes	—
286	#13133194	C₂³	1	8	yes	—
287	#13133194	C₂³	1	8	yes	complemented
288	#13133193	C₂³	1	8	yes	complemented
289	#13133193	C₂³	1	4	yes	complemented
290	#13133192	C₂³	1	8	yes	complemented
291	#13133192	C₂³	1	4	yes	complemented
292	#13133192	C₂³	1	4	yes	complemented
293	#13133192	C₂³	1	8	yes	complemented
294	#13133192	C₂³	1	8	yes	complemented
295	#13133191	C₂³	1	2	yes	—
296	#13133191	C₂³	1	4	yes	—
297	#13133191	C₂³	1	4	yes	—
298	#13133191	C₂³	1	4	yes	—
299	#13133191	C₂³	1	2	yes	—
300	#13133191	C₂³	1	4	yes	—
301	#13133191	C₂³	1	4	yes	—
302	#13133191	C₂³	1	2	yes	—
303	#13133191	C₂³	1	4	yes	—
304	#13133191	C₂³	1	4	yes	—
305	#13133191	C₂³	1	4	yes	—
306	#13133191	C₂³	1	4	yes	—
307	#13133191	C₂³	1	4	yes	—
308	#13133191	C₂³	1	4	yes	—
309	#13133191	C₂³	1	4	yes	—
310	#13133191	C₂³	1	4	yes	—
311	#13133191	C₂³	1	4	yes	—
312	#13133191	C₂³	1	4	yes	—
313	#13133191	C₂³	1	4	yes	—
314	#13133191	C₂³	1	2	yes	—
315	#13133191	C₂³	1	8	yes	complemented
316	#13133191	C₂³	1	4	yes	complemented
317	#13133191	C₂³	1	4	yes	complemented
318	#13133191	C₂³	1	4	yes	complemented
319	#13133191	C₂³	1	8	yes	complemented
320	#13133191	C₂³	1	8	yes	complemented
321	#13133191	C₂³	1	2	yes	complemented
322	#13133191	C₂³	1	2	yes	complemented
323	#13133191	C₂³	1	2	yes	complemented
324	#13133191	C₂³	1	2	yes	complemented
325	#13133190	C₂³	1	8	yes	complemented
326	#13133190	C₂³	1	8	yes	complemented
327	#13133190	C₂³	1	8	yes	complemented
328	#13133190	C₂³	1	8	yes	complemented
329	#13133190	C₂³	1	8	yes	complemented
330	#13133190	C₂³	1	8	yes	complemented
331	#13133190	C₂³	1	8	yes	complemented
332	#13133189	C₂³	1	8	yes	—
333	#13133189	C₂³	1	8	yes	—
334	#13133189	C₂³	1	8	yes	complemented
335	#13133189	C₂³	1	8	yes	complemented
336	#13133189	C₂³	1	8	yes	complemented
337	#13133189	C₂³	1	8	yes	complemented
338	#13133189	C₂³	1	8	yes	complemented
339	#13133188	C₂³	1	4	yes	complemented
340	#13133188	C₂³	1	8	yes	complemented
341	#13133188	C₂³	1	8	yes	complemented
342	#13133187	C₂³	1	8	yes	—
343	#13133187	C₂³	1	8	yes	—
344	#13133187	C₂³	1	8	yes	—
345	#13133187	C₂³	1	8	yes	complemented
346	#13133187	C₂³	1	8	yes	complemented
347	#13133187	C₂³	1	8	yes	complemented
348	#13133187	C₂³	1	8	yes	complemented
349	#13133186	C₂³	1	4	yes	—
350	#13133186	C₂³	1	4	yes	—
351	#13133186	C₂³	1	4	yes	—
352	#13133186	C₂³	1	4	yes	—
353	#13133186	C₂³	1	8	yes	complemented
354	#13133185	C₂³	1	8	yes	—
355	#13133185	C₂³	1	8	yes	—
356	#13133185	C₂³	1	8	yes	—
357	#13133185	C₂³	1	8	yes	complemented
358	#13133185	C₂³	1	8	yes	complemented
359	#13133185	C₂³	1	8	yes	complemented
360	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
361	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
362	C₄×D₂₁₂	C₂³	1	8	yes	complemented
363	C₄×D₂₁₂	C₂³	1	4	yes	complemented
364	C₄×D₂₁₂	C₂³	1	4	yes	complemented
365	C₄×D₂₁₂	C₂³	1	4	yes	complemented
366	D₄×Dic₅₃	C₂³	1	8	yes	—
367	D₄×Dic₅₃	C₂³	1	8	yes	—
368	D₄×Dic₅₃	C₂³	1	4	yes	complemented
369	#13133179	C₂³	1	4	yes	complemented
370	#13133179	C₂³	1	4	yes	complemented
371	#13133179	C₂³	1	8	yes	complemented
372	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
373	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
374	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
375	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
376	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
377	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
378	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
379	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
380	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
381	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
382	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
383	#13133177	C₂³	1	8	yes	—
384	#13133177	C₂³	1	8	yes	—
385	#13133177	C₂³	1	8	yes	complemented
386	#13133177	C₂³	1	8	yes	complemented
387	#13133177	C₂³	1	8	yes	complemented
388	#13133176	C₂³	1	2	yes	—
389	#13133176	C₂³	1	2	yes	—
390	#13133176	C₂³	1	4	yes	complemented
391	#13133176	C₂³	1	2	yes	complemented
392	#13133176	C₂³	1	2	yes	complemented
393	#13133175	C₂³	1	8	yes	complemented
394	#13133175	C₂³	1	4	yes	complemented
395	#13133174	C₂³	1	8	yes	complemented
396	#13133173	C₂³	1	8	yes	—
397	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
398	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
399	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
400	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
401	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
402	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
403	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
404	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
405	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
406	C₂×#11719919	C₂³	1	2	yes	complemented
407	C₂×#11719919	C₂³	1	2	yes	complemented
408	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
409	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
410	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
411	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
412	C₂×#11719921	C₂³	1	4	yes	—
413	C₂×#11719921	C₂³	1	4	yes	—
414	C₂×#11719921	C₂³	1	4	yes	—
415	C₂×#11719921	C₂³	1	4	yes	—
416	C₂×#11719921	C₂³	1	4	yes	—
417	C₂×#11719921	C₂³	1	4	yes	—
418	C₂×#11719921	C₂³	1	2	yes	complemented
419	C₂×#11719921	C₂³	1	8	yes	complemented
420	C₂×#11719921	C₂³	1	2	yes	complemented
421	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
422	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
423	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
424	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
425	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
426	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
427	C₂×#41×C₅₃	—	4	4	no	—
428	C₂×#41×C₅₃	C₂³	1	2	yes	—
429	C₂×#41×C₅₃	C₂³	1	2	yes	—
430	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
431	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
432	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
433	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
434	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
435	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
436	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
437	C₂³×C₄×C₅₃	—	4	4	no	—
438	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
439	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
440	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
441	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
442	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
443	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
444	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
445	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
446	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
447	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
448	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
449	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
450	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
451	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
452	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
453	#123×C₅₃	C₂³	1	4	yes	—
454	#123×C₅₃	C₂³	1	4	yes	—
455	#123×C₅₃	C₂³	1	4	yes	complemented
456	#123×C₅₃	C₂³	1	4	yes	complemented
457	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
458	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
459	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
460	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
461	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
462	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
463	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
464	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
465	#121×C₅₃	C₂³	1	2	yes	—
466	#121×C₅₃	C₂³	1	2	yes	—
467	#121×C₅₃	C₂³	1	2	yes	—
468	#121×C₅₃	C₂³	1	2	yes	—
469	#121×C₅₃	C₂³	1	2	yes	complemented
470	#121×C₅₃	C₂³	1	2	yes	complemented
471	#121×C₅₃	C₂³	1	2	yes	complemented
472	#121×C₅₃	C₂³	1	2	yes	complemented
473	#120×C₅₃	C₂³	1	4	yes	—
474	#120×C₅₃	C₂³	1	4	yes	—
475	#120×C₅₃	C₂³	1	4	yes	—
476	#120×C₅₃	C₂³	1	4	yes	—
477	C₄×D₄×C₅₃	C₂³	1	4	yes	—
478	C₄×D₄×C₅₃	C₂³	1	4	yes	—
479	C₄×D₄×C₅₃	C₂³	1	4	yes	—
480	C₄×D₄×C₅₃	C₂³	1	4	yes	—
481	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
482	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
483	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
484	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
485	#117×C₅₃	C₂³	1	2	yes	—
486	#117×C₅₃	C₂³	1	2	yes	—
487	#117×C₅₃	C₂³	1	2	yes	complemented
488	#117×C₅₃	C₂³	1	2	yes	complemented
489	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
490	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
491	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
492	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
493	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
494	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
495	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
496	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
497	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
498	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
499	C₂⁴×C₅₃	—	2	4	no	—
500	C₂⁴×C₅₃	—	4	2	no	—
501	C₂⁴×C₅₃	—	4	2	no	—
502	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
503	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
504	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
505	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
506	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
507	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
508	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
509	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
510	C₂³×D₅₃	—	4	4	no	—
511	C₂³×D₅₃	—	4	4	no	—
512	C₂³×D₅₃	—	4	4	no	—
513	C₂³×D₅₃	C₂⁴	1	4	yes	—
514	C₂³×D₅₃	C₂⁴	1	4	yes	—
515	C₂³×D₅₃	C₂⁴	1	4	yes	—
516	C₂³×D₅₃	C₂⁴	1	2	yes	—
517	C₂³×D₅₃	C₂⁴	1	8	yes	—
518	#41×C₅₃	—	2	8	no	—
519	#41×C₅₃	—	4	4	no	—
520	#41×C₅₃	—	4	4	no	—
521	#41×C₅₃	—	4	4	no	—
522	C₂×Q₈×C₅₃	—	4	2	no	—
523	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
524	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
525	C₂×D₄×C₅₃	—	2	8	no	—
526	C₂×D₄×C₅₃	—	4	2	no	—
527	C₂×D₄×C₅₃	—	4	4	no	—
528	C₂×D₄×C₅₃	—	4	4	no	—
529	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
530	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
531	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
532	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
533	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
534	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
535	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
536	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
537	C₂²×C₄×C₅₃	—	2	4	no	—
538	C₂²×C₄×C₅₃	—	2	4	no	—
539	C₂²×C₄×C₅₃	—	2	4	no	—
540	C₂²×C₄×C₅₃	—	4	2	no	—
541	C₂²×C₄×C₅₃	—	4	2	no	—
542	C₂²×C₄×C₅₃	—	4	2	no	—
543	C₂²×C₄×C₅₃	—	4	2	no	—
544	C₂²×C₄×C₅₃	—	4	2	no	—
545	C₂²×C₄×C₅₃	—	4	2	no	—
546	C₂²×C₄×C₅₃	—	4	2	no	—
547	C₂²×C₄×C₅₃	—	4	2	no	—
548	C₂²×C₄×C₅₃	—	4	4	no	—
549	C₂²×C₄×C₅₃	—	4	2	no	—
550	C₂²×C₄×C₅₃	—	4	2	no	—
551	C₂²×C₄×C₅₃	—	4	2	no	—
552	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
554	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
561	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
570	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
571	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
576	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₂²⋊D₅₃	—	2	16	no	—
586	C₂×C₂²⋊D₅₃	—	2	8	no	—
587	C₂×C₂²⋊D₅₃	—	4	8	no	—
588	C₂×C₂²⋊D₅₃	—	4	8	no	—
589	C₂×C₂²⋊D₅₃	—	4	8	no	—
590	C₂×C₂²⋊D₅₃	—	4	8	no	—
591	C₂×C₂²⋊D₅₃	—	4	8	no	—
592	C₂×C₂²⋊D₅₃	—	4	4	no	—
593	C₂×C₂²⋊D₅₃	—	4	4	no	—
594	C₂×C₂²⋊D₅₃	—	4	16	no	—
595	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
597	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
598	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
599	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
600	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
601	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
602	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
603	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
604	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
605	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
606	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
607	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
608	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
609	C₂²×Dic₅₃	—	4	4	no	—
610	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
611	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
612	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
613	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
614	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
615	C₂²×Dic₅₃	C₂⁴	1	8	yes	—
616	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
617	#11719949	—	4	8	no	—
618	#11719947	—	4	16	no	—
619	#11719947	—	4	16	no	—
620	D₄×D₅₃	—	4	8	no	—
621	D₄×D₅₃	—	4	16	no	—
622	D₄×D₅₃	—	4	16	no	—
623	D₄×D₅₃	—	4	16	no	—
624	D₄×D₅₃	—	4	16	no	—
625	#11719945	—	2	8	no	—
626	#11719945	—	4	4	no	—
627	#11719945	—	4	8	no	—
628	#11719945	—	4	4	no	—
629	#11719945	—	4	4	no	—
630	#11719945	—	4	16	no	—
631	C₂×D₂₁₂	—	2	8	no	—
632	C₂×D₂₁₂	—	4	4	no	—
633	C₂×D₂₁₂	—	4	4	no	—
634	C₂×D₂₁₂	—	4	4	no	—
635	C₂×D₂₁₂	—	4	4	no	—
636	C₂×D₂₁₂	—	4	2	no	—
637	C₂×D₂₁₂	—	4	8	no	—
638	C₂×D₂₁₂	—	4	4	no	—
639	C₂×D₂₁₂	C₂⁴	1	4	yes	—
640	C₂×D₂₁₂	C₂⁴	1	4	yes	—
641	C₂×D₂₁₂	C₂⁴	1	2	yes	—
642	C₂×D₂₁₂	C₂⁴	1	8	yes	—
643	C₂×D₂₁₂	C₂⁴	1	8	yes	—
644	C₂×D₂₁₂	C₂⁴	1	8	yes	—
645	C₂×D₂₁₂	C₂⁴	1	2	yes	—
646	C₂×D₂₁₂	C₂⁴	1	4	yes	—
647	C₂×D₂₁₂	C₂⁴	1	4	yes	—
648	C₂×C₄×D₅₃	—	4	4	no	—
649	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
650	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
651	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
652	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
653	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
654	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
655	C₂×Dic₁₀₆	—	4	2	no	—
656	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
657	C₂×Dic₁₀₆	C₂⁴	1	8	yes	—
658	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
659	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
660	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
661	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
662	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
663	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
670	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
671	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
672	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
673	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
674	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
676	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
677	C₄²×C₅₃	C₂⁴	1	4	yes	—
678	C₄²×C₅₃	C₂⁴	1	4	yes	—
679	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
680	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
681	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
682	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
683	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
684	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
685	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
686	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
687	#11719921	C₂⁴	1	8	yes	—
688	#11719921	C₂⁴	1	8	yes	—
689	#11719921	C₂⁴	1	8	yes	—
690	#11719921	C₂⁴	1	8	yes	—
691	#11719921	C₂⁴	1	8	yes	—
692	#11719921	C₂⁴	1	8	yes	—
693	#11719921	C₂⁴	1	8	yes	—
694	#11719921	C₂⁴	1	8	yes	—
695	#11719921	C₂⁴	1	8	yes	—
696	#11719921	C₂⁴	1	8	yes	—
697	#11719921	C₂⁴	1	4	yes	—
698	#11719921	C₂⁴	1	8	yes	—
699	#11719921	C₂⁴	1	4	yes	—
700	#11719921	C₂⁴	1	4	yes	—
701	#11719921	C₂⁴	1	4	yes	—
702	#11719921	C₂⁴	1	8	yes	—
703	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
704	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
705	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
706	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
707	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
708	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
709	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
710	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
711	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
712	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
713	#11719919	C₂⁴	1	8	yes	—
714	#11719919	C₂⁴	1	4	yes	—
715	#11719919	C₂⁴	1	4	yes	—
716	#11719919	C₂⁴	1	4	yes	—
717	#11719919	C₂⁴	1	4	yes	—
718	#11719919	C₂⁴	1	8	yes	—
719	#11719919	C₂⁴	1	8	yes	—
720	#11719919	C₂⁴	1	8	yes	—
721	C₄×Dic₅₃	C₂⁴	1	4	yes	—
722	C₄×Dic₅₃	C₂⁴	1	4	yes	—
723	C₄×Dic₅₃	C₂⁴	1	8	yes	—
724	C₄×Dic₅₃	C₂⁴	1	8	yes	—
725	C₂³×C₅₃	—	2	2	no	—
726	C₂³×C₅₃	—	2	2	no	—
727	C₂³×C₅₃	—	2	2	no	—
728	C₂³×C₅₃	—	2	2	no	—
729	C₂³×C₅₃	—	2	2	no	—
730	C₂³×C₅₃	—	2	2	no	—
731	C₂³×C₅₃	—	2	2	no	—
732	C₂³×C₅₃	—	2	2	no	—
733	C₂³×C₅₃	—	2	2	no	—
734	C₂³×C₅₃	—	2	2	no	—
735	C₂³×C₅₃	—	2	2	no	—
736	C₂³×C₅₃	—	2	2	no	—
737	C₂³×C₅₃	—	2	4	no	—
738	C₂³×C₅₃	—	4	1	no	—
739	C₂³×C₅₃	—	4	1	no	—
740	C₂³×C₅₃	—	4	1	no	—
741	C₂³×C₅₃	—	4	1	no	—
742	C₂³×C₅₃	—	4	1	no	—
743	C₂³×C₅₃	—	4	1	no	—
744	C₂³×C₅₃	—	4	1	no	—
745	C₂³×C₅₃	—	4	1	no	—
746	C₂³×C₅₃	—	4	2	no	—
747	C₂³×C₅₃	—	4	2	no	—
748	C₂³×C₅₃	—	4	16	no	—
749	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
750	C₂³×C₅₃	C₂⁵	1	4	yes	—
751	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
752	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
753	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
754	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
755	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
756	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
757	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
758	C₂²×D₅₃	—	2	8	no	—
759	C₂²×D₅₃	—	2	4	no	—
760	C₂²×D₅₃	—	2	8	no	—
761	C₂²×D₅₃	—	2	8	no	—
762	C₂²×D₅₃	—	4	2	no	—
763	C₂²×D₅₃	—	4	4	no	—
764	C₂²×D₅₃	—	4	4	no	—
765	C₂²×D₅₃	—	4	4	no	—
766	C₂²×D₅₃	—	4	4	no	—
767	C₂²×D₅₃	—	4	2	no	—
768	C₂²×D₅₃	—	4	4	no	—
769	C₂²×D₅₃	—	4	4	no	—
770	C₂²×D₅₃	—	4	8	no	—
771	C₂²×D₅₃	—	4	8	no	—
772	C₂²×D₅₃	—	4	8	no	—
773	C₂²×D₅₃	—	8	16	no	—
774	C₂²×D₅₃	C₂⁵	1	4	yes	—
775	C₂²×D₅₃	C₂⁵	1	8	yes	—
776	Q₈×C₅₃	—	2	4	no	—
777	Q₈×C₅₃	—	4	2	no	—
778	D₄×C₅₃	—	2	8	no	—
779	D₄×C₅₃	—	2	8	no	—
780	D₄×C₅₃	—	2	8	no	—
781	D₄×C₅₃	—	2	8	no	—
782	D₄×C₅₃	—	2	4	no	—
783	D₄×C₅₃	—	4	4	no	—
784	D₄×C₅₃	—	4	4	no	—
785	D₄×C₅₃	—	4	2	no	—
786	C₂×C₄×C₅₃	—	2	2	no	—
787	C₂×C₄×C₅₃	—	2	4	no	—
788	C₂×C₄×C₅₃	—	2	2	no	—
789	C₂×C₄×C₅₃	—	2	2	no	—
790	C₂×C₄×C₅₃	—	2	2	no	—
791	C₂×C₄×C₅₃	—	2	2	no	—
792	C₂×C₄×C₅₃	—	2	2	no	—
793	C₂×C₄×C₅₃	—	2	2	no	—
794	C₂×C₄×C₅₃	—	2	2	no	—
795	C₂×C₄×C₅₃	—	2	2	no	—
796	C₂×C₄×C₅₃	—	2	8	no	—
797	C₂×C₄×C₅₃	—	2	2	no	—
798	C₂×C₄×C₅₃	—	2	2	no	—
799	C₂×C₄×C₅₃	—	2	2	no	—
800	C₂×C₄×C₅₃	—	2	2	no	—
801	C₂×C₄×C₅₃	—	2	2	no	—
802	C₂×C₄×C₅₃	—	2	2	no	—
803	C₂×C₄×C₅₃	—	4	1	no	—
804	C₂×C₄×C₅₃	—	4	1	no	—
805	C₂×C₄×C₅₃	—	4	1	no	—
806	C₂×C₄×C₅₃	—	4	1	no	—
807	C₂×C₄×C₅₃	—	4	1	no	—
808	C₂×C₄×C₅₃	—	4	1	no	—
809	C₂×C₄×C₅₃	—	4	1	no	—
810	C₂×C₄×C₅₃	—	4	1	no	—
811	C₂×C₄×C₅₃	—	4	1	no	—
812	C₂×C₄×C₅₃	—	4	1	no	—
813	C₂×C₄×C₅₃	—	4	1	no	—
814	C₂×C₄×C₅₃	—	4	1	no	—
815	C₂×C₄×C₅₃	—	4	2	no	—
816	C₂×C₄×C₅₃	—	4	4	no	—
817	C₂×C₄×C₅₃	—	4	2	no	—
818	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
819	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
820	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
821	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
822	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
823	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
824	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
825	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
826	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
827	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
828	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
829	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
830	C₂²⋊D₅₃	—	2	8	no	—
831	C₂²⋊D₅₃	—	2	8	no	—
832	C₂²⋊D₅₃	—	2	16	no	—
833	C₂²⋊D₅₃	—	2	8	no	—
834	C₂²⋊D₅₃	—	2	16	no	—
835	C₂²⋊D₅₃	—	2	8	no	—
836	C₂²⋊D₅₃	—	4	4	no	—
837	C₂²⋊D₅₃	—	4	8	no	—
838	C₂²⋊D₅₃	—	4	8	no	—
839	C₂²⋊D₅₃	—	4	8	no	—
840	C₂²⋊D₅₃	—	4	8	no	—
841	C₂²⋊D₅₃	—	4	8	no	—
842	C₂²⋊D₅₃	—	4	8	no	—
843	C₂²⋊D₅₃	—	4	4	no	—
844	C₂×Dic₅₃	—	2	4	no	—
845	C₂×Dic₅₃	—	2	8	no	—
846	C₂×Dic₅₃	—	4	2	no	—
847	C₂×Dic₅₃	—	4	8	no	—
848	C₂×Dic₅₃	—	4	4	no	—
849	C₂×Dic₅₃	—	4	4	no	—
850	C₂×Dic₅₃	—	4	2	no	—
851	C₂×Dic₅₃	C₂⁵	1	4	yes	—
852	C₂×Dic₅₃	C₂⁵	1	4	yes	—
853	C₂×Dic₅₃	C₂⁵	1	8	yes	—
854	C₂×Dic₅₃	C₂⁵	1	4	yes	—
855	D₂₁₂	—	2	8	no	—
856	D₂₁₂	—	2	8	no	—
857	D₂₁₂	—	2	4	no	—
858	D₂₁₂	—	4	4	no	—
859	D₂₁₂	—	4	4	no	—
860	D₂₁₂	—	4	2	no	—
861	D₂₁₂	—	4	8	no	—
862	D₂₁₂	—	4	8	no	—
863	D₂₁₂	—	4	8	no	—
864	C₄×D₅₃	—	2	8	no	—
865	C₄×D₅₃	—	4	4	no	—
866	C₄×D₅₃	—	4	8	no	—
867	C₄×D₅₃	—	4	8	no	—
868	C₄×D₅₃	—	4	8	no	—
869	C₄×D₅₃	—	4	8	no	—
870	Dic₁₀₆	—	2	4	no	—
871	Dic₁₀₆	—	4	2	no	—
872	Dic₁₀₆	—	4	8	no	—
873	#62818	—	53	1	no	maximal, Sylow
874	C₂²×C₅₃	—	2	8	no	—
875	C₂²×C₅₃	—	2	1	no	—
876	C₂²×C₅₃	—	2	1	no	—
877	C₂²×C₅₃	—	2	1	no	—
878	C₂²×C₅₃	—	2	1	no	—
879	C₂²×C₅₃	—	2	1	no	—
880	C₂²×C₅₃	—	2	1	no	—
881	C₂²×C₅₃	—	2	1	no	—
882	C₂²×C₅₃	—	2	1	no	—
883	C₂²×C₅₃	—	2	1	no	—
884	C₂²×C₅₃	—	2	1	no	—
885	C₂²×C₅₃	—	2	4	no	—
886	C₂²×C₅₃	—	2	1	no	—
887	C₂²×C₅₃	—	2	1	no	—
888	C₂²×C₅₃	—	2	1	no	—
889	C₂²×C₅₃	—	2	4	no	—
890	C₂²×C₅₃	—	2	1	no	—
891	C₂²×C₅₃	—	2	1	no	—
892	C₂²×C₅₃	—	2	4	no	—
893	C₂²×C₅₃	—	2	1	no	—
894	C₂²×C₅₃	—	4	4	no	—
895	C₂²×C₅₃	—	4	4	no	—
896	C₂²×C₅₃	—	4	4	no	—
897	C₂²×C₅₃	—	4	4	no	—
898	C₂²×C₅₃	—	4	4	no	—
899	C₂²×C₅₃	—	4	4	no	—
900	C₂²×C₅₃	—	8	4	no	—
901	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
902	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
903	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
904	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
905	C₂²×C₅₃	#585	1	2	yes	—
906	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
907	C₂×D₅₃	—	2	4	no	—
908	C₂×D₅₃	—	2	4	no	—
909	C₂×D₅₃	—	2	8	no	—
910	C₂×D₅₃	—	2	8	no	—
911	C₂×D₅₃	—	2	8	no	—
912	C₂×D₅₃	—	2	4	no	—
913	C₂×D₅₃	—	8	4	no	—
914	C₂×D₅₃	—	8	8	no	—
915	C₂×D₅₃	—	8	8	no	—
916	C₂×D₅₃	—	8	8	no	—
917	C₂×D₅₃	—	16	8	no	—
918	C₄×C₅₃	—	2	4	no	—
919	C₄×C₅₃	—	2	1	no	—
920	C₄×C₅₃	—	2	1	no	—
921	C₄×C₅₃	—	2	4	no	—
922	C₄×C₅₃	—	2	1	no	—
923	C₄×C₅₃	—	2	1	no	—
924	C₄×C₅₃	—	2	1	no	—
925	C₄×C₅₃	—	2	1	no	—
926	C₄×C₅₃	—	2	4	no	—
927	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
928	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
929	Dic₅₃	—	2	4	no	—
930	Dic₅₃	—	2	4	no	—
931	Dic₅₃	—	2	8	no	—
932	Dic₅₃	—	2	4	no	—
933	#3542	—	53	4	no	—
934	#3542	—	53	4	no	—
935	#3537	—	53	2	no	—
936	#3537	—	53	2	no	—
937	#3536	—	53	2	no	—
938	#3536	—	53	2	no	—
939	#3534	—	53	4	no	—
940	#3534	—	53	4	no	—
941	#3519	—	53	4	no	—
942	#3519	—	53	4	no	—
943	#3505	—	53	2	no	—
944	#3505	—	53	2	no	—
945	#3496	—	53	2	no	—
946	#3496	—	53	2	no	—
947	#3494	—	53	2	no	—
948	#3494	—	53	2	no	—
949	#3492	—	53	2	no	—
950	#3490	—	53	4	no	—
951	#3488	—	53	2	no	—
952	#3488	—	53	2	no	—
953	#3484	—	53	2	no	—
954	#3484	—	53	4	no	—
955	C₂×#525	—	53	1	no	—
956	C₂×#525	D₅₃	1	1	yes	characteristic, complemented
957	C₂²×#121	—	53	1	no	—
958	C₂×C₅₃	—	2	2	no	—
959	C₂×C₅₃	—	2	2	no	—
960	C₂×C₅₃	—	2	2	no	—
961	C₂×C₅₃	—	2	2	no	—
962	C₂×C₅₃	—	2	2	no	—
963	C₂×C₅₃	—	4	4	no	—
964	C₂×C₅₃	—	4	1	no	—
965	C₂×C₅₃	—	4	1	no	—
966	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
967	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
968	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
969	D₅₃	—	4	8	no	—
970	D₅₃	—	4	4	no	—
971	C₂×H(5,𝔽₂)	—	53	2	no	—
972	C₂×H(5,𝔽₂)	—	53	4	no	—
973	C₂²×#41	—	53	1	no	—
974	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
975	C₂³×D₄	—	53	2	no	—
976	C₂³×D₄	—	53	1	no	—
977	C₂⁴×C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
978	#562	—	53	8	no	—
979	#562	—	53	8	no	—
980	#560	—	53	8	no	—
981	#560	—	53	8	no	—
982	#555	—	53	4	no	—
983	#555	—	53	4	no	—
984	#554	—	53	4	no	—
985	#554	—	53	4	no	—
986	#553	—	53	4	no	—
987	#553	—	53	4	no	—
988	#553	—	53	4	no	—
989	#553	—	53	4	no	—
990	#553	—	53	8	no	—
991	#553	—	53	4	no	—
992	#553	—	53	4	no	—
993	#553	—	53	8	no	—
994	#552	—	53	4	no	—
995	#552	—	53	4	no	—
996	#551	—	53	8	no	—
997	#551	—	53	8	no	—
998	#551	—	53	8	no	—
999	#551	—	53	8	no	—
1000	#550	—	53	4	no	—
1001	#550	—	53	4	no	—
1002	#548	—	53	4	no	—
1003	#548	—	53	4	no	—
1004	#547	—	53	4	no	—
1005	#547	—	53	4	no	—
1006	#547	—	53	4	no	—
1007	#547	—	53	4	no	—
1008	#546	—	53	8	no	—
1009	#546	—	53	4	no	—
1010	#546	—	53	8	no	—
1011	#546	—	53	4	no	—
1012	#546	—	53	4	no	—
1013	#546	—	53	8	no	—
1014	#546	—	53	8	no	—
1015	#546	—	53	8	no	—
1016	#546	—	53	8	no	—
1017	#546	—	53	4	no	—
1018	#546	—	53	4	no	—
1019	#546	—	53	8	no	—
1020	#546	—	53	4	no	—
1021	#546	—	53	8	no	—
1022	#546	—	53	8	no	—
1023	#546	—	53	8	no	—
1024	D₄²	—	53	8	no	—
1025	D₄²	—	53	8	no	—
1026	D₄²	—	53	4	no	—
1027	D₄²	—	53	4	no	—
1028	D₄²	—	53	4	no	—
1029	D₄²	—	53	8	no	—
1030	D₄²	—	53	8	no	—
1031	D₄²	—	53	4	no	—
1032	D₄²	—	53	4	no	—
1033	D₄²	—	53	4	no	—
1034	#544	—	53	2	no	—
1035	#543	—	53	4	no	—
1036	#542	—	53	4	no	—
1037	#542	—	53	4	no	—
1038	#540	—	53	8	no	—
1039	#540	—	53	4	no	—
1040	#540	—	53	8	no	—
1041	#540	—	53	4	no	—
1042	#539	—	53	8	no	—
1043	#539	—	53	4	no	—
1044	#539	—	53	4	no	—
1045	#538	—	53	8	no	—
1046	#538	—	53	4	no	—
1047	#538	—	53	4	no	—
1048	#538	—	53	4	no	—
1049	#538	—	53	8	no	—
1050	#538	—	53	8	no	—
1051	#538	—	53	4	no	—
1052	#537	—	53	2	no	—
1053	#537	—	53	4	no	—
1054	#537	—	53	4	no	—
1055	#537	—	53	4	no	—
1056	#537	—	53	4	no	—
1057	#535	—	53	2	no	—
1058	#535	—	53	4	no	—
1059	#535	—	53	4	no	—
1060	#535	—	53	8	no	—
1061	#535	—	53	2	no	—
1062	#534	—	53	4	no	—
1063	#534	—	53	8	no	—
1064	#534	—	53	4	no	—
1065	#534	—	53	4	no	—
1066	#534	—	53	8	no	—
1067	#534	—	53	4	no	—
1068	#534	—	53	4	no	—
1069	#532	—	53	4	no	—
1070	#532	—	53	4	no	—
1071	#529	—	53	4	no	—
1072	#529	—	53	4	no	—
1073	#525	—	53	2	no	—
1074	#525	—	53	2	no	—
1075	#525	—	53	2	no	—
1076	#525	—	53	2	no	—
1077	#525	—	53	2	no	—
1078	#525	—	53	2	no	—
1079	#525	—	53	2	no	—
1080	#525	—	53	2	no	—
1081	#525	—	53	4	no	—
1082	#525	—	53	4	no	—
1083	#525	—	53	8	no	—
1084	#525	C₂×D₅₃	1	2	yes	complemented
1085	#525	C₂×D₅₃	1	2	yes	complemented
1086	#525	C₂×D₅₃	1	2	yes	complemented
1087	#525	C₂×D₅₃	1	2	yes	complemented
1088	#525	C₂×D₅₃	1	2	yes	complemented
1089	#525	C₂×D₅₃	1	2	yes	complemented
1090	#525	C₂×D₅₃	1	2	yes	complemented
1091	#525	C₂×D₅₃	1	2	yes	complemented
1092	C₂×#123	—	53	2	no	—
1093	C₂×#123	C₂×D₅₃	1	2	yes	complemented
1094	C₂×C₂²⋊Q₈	—	53	1	no	—
1095	C₂×C₂²⋊Q₈	—	53	1	no	—
1096	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1097	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1098	C₂×#121	—	53	2	no	—
1099	C₂×#121	—	53	2	no	—
1100	C₂×#121	—	53	2	no	—
1101	C₂×#121	—	53	2	no	—
1102	C₂×#121	—	53	2	no	—
1103	C₂×#121	—	53	2	no	—
1104	C₂×#121	—	53	2	no	—
1105	C₂×#121	—	53	2	no	—
1106	C₂×#121	—	53	2	no	—
1107	C₂×#121	—	53	2	no	—
1108	C₂×#121	—	53	2	no	—
1109	C₂×#121	—	53	2	no	—
1110	C₂×#121	—	53	1	no	—
1111	C₂×#121	—	53	1	no	—
1112	C₂×#121	—	53	4	no	—
1113	C₂×#121	—	53	4	no	—
1114	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1115	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1116	C₂×#120	—	53	2	no	—
1117	C₂×#120	—	53	8	no	—
1118	C₂×#120	C₂×D₅₃	1	2	yes	complemented
1119	#520	—	53	2	no	—
1120	#520	—	53	2	no	—
1121	#518	—	53	8	no	—
1122	#518	—	53	2	no	—
1123	#518	—	53	4	no	—
1124	C₂×C₄×D₄	—	53	2	no	—
1125	C₂×C₄×D₄	—	53	2	no	—
1126	C₂×C₄×D₄	C₂×D₅₃	1	2	yes	complemented
1127	C₂×C₄×D₄	C₂×D₅₃	1	2	yes	complemented
1128	C₂×#117	—	53	1	no	—
1129	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1130	C₂²×C₄⋊C₄	—	53	1	no	—
1131	C₂²×C₂²⋊C₄	—	53	2	no	—
1132	C₅₃	#62818	1	1	yes	characteristic, complemented, Sylow
1133	C₂⁵	—	53	2	no	—
1134	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1135	H(5,𝔽₂)	—	212	16	no	—
1136	H(5,𝔽₂)	—	212	8	no	—
1137	C₂×#41	—	4	4	no	—
1138	C₂×#41	—	53	4	no	—
1139	C₂×#41	—	53	8	no	—
1140	C₂×#41	—	53	8	no	—
1141	C₂×#41	—	53	2	no	—
1142	C₂×#41	—	53	2	no	—
1143	C₂×#41	—	53	2	no	—
1144	C₂×#41	—	53	2	no	—
1145	C₂×#41	—	53	4	no	—
1146	C₂×#41	—	53	8	no	—
1147	C₂×#41	—	212	4	no	—
1148	C₂×#41	C₂²×D₅₃	1	2	yes	—
1149	C₂×#41	C₂²×D₅₃	1	2	yes	—
1150	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1151	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1152	C₂²×Q₈	—	53	1	no	—
1153	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1154	C₂²×D₄	—	53	2	no	—
1155	C₂²×D₄	—	53	4	no	—
1156	C₂²×D₄	—	53	2	no	—
1157	C₂²×D₄	—	53	2	no	—
1158	C₂²×D₄	—	53	4	no	—
1159	C₂²×D₄	—	53	4	no	—
1160	C₂²×D₄	—	53	4	no	—
1161	C₂²×D₄	—	53	4	no	—
1162	C₂²×D₄	—	53	4	no	—
1163	C₂²×D₄	—	53	8	no	—
1164	C₂²×D₄	—	53	8	no	—
1165	C₂²×D₄	—	53	8	no	—
1166	C₂²×D₄	—	53	8	no	—
1167	C₂²×D₄	—	53	8	no	—
1168	C₂²×D₄	—	53	4	no	—
1169	C₂²×D₄	—	53	2	no	—
1170	C₂²×D₄	—	53	2	no	—
1171	C₂²×D₄	—	53	1	no	—
1172	C₂²×D₄	—	53	2	no	—
1173	C₂²×D₄	—	53	2	no	—
1174	C₂²×D₄	—	53	2	no	—
1175	C₂²×D₄	—	53	2	no	—
1176	C₂²×D₄	—	53	4	no	—
1177	C₂²×D₄	—	212	4	no	—
1178	C₂²×D₄	—	212	8	no	—
1179	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1180	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1181	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1182	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1183	C₂³×C₄	—	4	4	no	—
1184	C₂³×C₄	—	53	2	no	—
1185	C₂³×C₄	—	53	2	no	—
1186	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1187	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1188	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1189	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1190	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1191	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1192	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1193	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1194	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1195	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1196	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1197	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1198	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1199	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1200	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
1201	C₄⋊Q₈	—	53	4	no	—
1202	C₄⋊Q₈	—	53	4	no	—
1203	#127	—	53	4	no	—
1204	#127	—	53	8	no	—
1205	#127	—	53	8	no	—
1206	#127	—	53	4	no	—
1207	#126	—	53	8	no	—
1208	#126	—	53	8	no	—
1209	#126	—	53	8	no	—
1210	#126	—	53	8	no	—
1211	#126	—	53	8	no	—
1212	#126	—	53	8	no	—
1213	#125	—	53	4	no	—
1214	#125	—	53	8	no	—
1215	#125	—	53	8	no	—
1216	#125	—	53	4	no	—
1217	#124	—	53	4	no	—
1218	#124	—	53	8	no	—
1219	#124	—	53	8	no	—
1220	#124	—	53	8	no	—
1221	#124	—	53	8	no	—
1222	#124	—	53	8	no	—
1223	#124	—	53	4	no	—
1224	#124	—	53	8	no	—
1225	#123	—	53	8	no	—
1226	#123	—	53	4	no	—
1227	#123	—	53	4	no	—
1228	#123	—	53	4	no	—
1229	#123	—	53	4	no	—
1230	#123	—	53	8	no	—
1231	#123	—	53	8	no	—
1232	#123	—	53	8	no	—
1233	#123	—	53	8	no	—
1234	#123	—	53	8	no	—
1235	#123	—	53	8	no	—
1236	#123	—	53	8	no	—
1237	#123	—	53	8	no	—
1238	#123	—	53	8	no	—
1239	#123	—	53	8	no	—
1240	#123	—	53	8	no	—
1241	#123	—	53	8	no	—
1242	#123	—	53	8	no	—
1243	#123	—	53	8	no	—
1244	#123	—	53	8	no	—
1245	#123	C₂²×D₅₃	1	4	yes	—
1246	#123	C₂²×D₅₃	1	4	yes	—
1247	#123	C₂²×D₅₃	1	4	yes	complemented
1248	#123	C₂²×D₅₃	1	4	yes	complemented
1249	C₂²⋊Q₈	—	53	4	no	—
1250	C₂²⋊Q₈	—	53	8	no	—
1251	C₂²⋊Q₈	—	53	2	no	—
1252	C₂²⋊Q₈	—	53	2	no	—
1253	C₂²⋊Q₈	—	53	2	no	—
1254	C₂²⋊Q₈	—	53	2	no	—
1255	C₂²⋊Q₈	—	53	2	no	—
1256	C₂²⋊Q₈	—	53	2	no	—
1257	C₂²⋊Q₈	—	53	2	no	—
1258	C₂²⋊Q₈	—	53	2	no	—
1259	C₂²⋊Q₈	—	53	4	no	—
1260	C₂²⋊Q₈	—	53	8	no	—
1261	C₂²⋊Q₈	—	53	8	no	—
1262	C₂²⋊Q₈	—	53	8	no	—
1263	C₂²⋊Q₈	—	53	8	no	—
1264	C₂²⋊Q₈	—	53	8	no	—
1265	C₂²⋊Q₈	—	53	8	no	—
1266	C₂²⋊Q₈	—	53	8	no	—
1267	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1268	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1269	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1270	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1271	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1272	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1273	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1274	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1275	#121	—	53	8	no	—
1276	#121	—	53	4	no	—
1277	#121	—	53	8	no	—
1278	#121	—	53	8	no	—
1279	#121	—	53	8	no	—
1280	#121	—	53	8	no	—
1281	#121	—	53	8	no	—
1282	#121	—	53	8	no	—
1283	#121	—	53	8	no	—
1284	#121	—	53	8	no	—
1285	#121	—	53	4	no	—
1286	#121	—	53	4	no	—
1287	#121	—	53	2	no	—
1288	#121	—	53	4	no	—
1289	#121	—	53	4	no	—
1290	#121	—	53	4	no	—
1291	#121	—	53	4	no	—
1292	#121	—	53	4	no	—
1293	#121	—	53	4	no	—
1294	#121	—	53	4	no	—
1295	#121	—	53	4	no	—
1296	#121	—	53	4	no	—
1297	#121	—	53	4	no	—
1298	#121	—	53	4	no	—
1299	#121	—	53	4	no	—
1300	#121	—	53	4	no	—
1301	#121	—	53	4	no	—
1302	#121	—	53	2	no	—
1303	#121	—	53	2	no	—
1304	#121	—	53	2	no	—
1305	#121	—	53	2	no	—
1306	#121	—	53	2	no	—
1307	#121	—	53	2	no	—
1308	#121	—	53	2	no	—
1309	#121	—	53	8	no	—
1310	#121	—	53	4	no	—
1311	#121	—	53	4	no	—
1312	#121	—	53	8	no	—
1313	#121	—	53	4	no	—
1314	#121	—	53	8	no	—
1315	#121	—	53	4	no	—
1316	#121	—	53	4	no	—
1317	#121	—	53	8	no	—
1318	#121	—	53	8	no	—
1319	#121	—	53	8	no	—
1320	#121	—	53	8	no	—
1321	#121	—	53	8	no	—
1322	#121	—	53	8	no	—
1323	#121	—	53	8	no	—
1324	#121	—	53	8	no	—
1325	#121	—	53	8	no	—
1326	#121	—	53	8	no	—
1327	#121	C₂²×D₅₃	1	2	yes	—
1328	#121	C₂²×D₅₃	1	2	yes	—
1329	#121	C₂²×D₅₃	1	2	yes	—
1330	#121	C₂²×D₅₃	1	2	yes	—
1331	#121	C₂²×D₅₃	1	2	yes	complemented
1332	#121	C₂²×D₅₃	1	2	yes	complemented
1333	#121	C₂²×D₅₃	1	2	yes	complemented
1334	#121	C₂²×D₅₃	1	2	yes	complemented
1335	#120	—	53	4	no	—
1336	#120	—	53	4	no	—
1337	#120	—	53	4	no	—
1338	#120	—	53	4	no	—
1339	#120	—	53	8	no	—
1340	#120	—	53	8	no	—
1341	#120	—	53	8	no	—
1342	#120	—	53	8	no	—
1343	#120	—	53	8	no	—
1344	#120	—	53	8	no	—
1345	#120	—	53	8	no	—
1346	#120	—	53	8	no	—
1347	#120	—	53	8	no	—
1348	#120	—	53	8	no	—
1349	#120	—	53	8	no	—
1350	#120	—	53	8	no	—
1351	#120	—	53	8	no	—
1352	#120	—	53	8	no	—
1353	#120	C₂²×D₅₃	1	4	yes	—
1354	#120	C₂²×D₅₃	1	4	yes	—
1355	#120	C₂²×D₅₃	1	4	yes	—
1356	#120	C₂²×D₅₃	1	4	yes	—
1357	C₄×Q₈	—	53	4	no	—
1358	C₄×Q₈	—	53	4	no	—
1359	C₄×D₄	—	53	8	no	—
1360	C₄×D₄	—	53	8	no	—
1361	C₄×D₄	—	53	4	no	—
1362	C₄×D₄	—	53	4	no	—
1363	C₄×D₄	—	53	4	no	—
1364	C₄×D₄	—	53	4	no	—
1365	C₄×D₄	—	53	4	no	—
1366	C₄×D₄	—	53	4	no	—
1367	C₄×D₄	—	53	4	no	—
1368	C₄×D₄	—	53	4	no	—
1369	C₄×D₄	—	53	4	no	—
1370	C₄×D₄	—	53	8	no	—
1371	C₄×D₄	—	53	8	no	—
1372	C₄×D₄	—	53	8	no	—
1373	C₄×D₄	—	53	8	no	—
1374	C₄×D₄	—	53	4	no	—
1375	C₄×D₄	—	53	4	no	—
1376	C₄×D₄	—	53	8	no	—
1377	C₄×D₄	—	53	8	no	—
1378	C₄×D₄	—	53	8	no	—
1379	C₄×D₄	—	53	8	no	—
1380	C₄×D₄	—	53	8	no	—
1381	C₄×D₄	—	53	4	no	—
1382	C₄×D₄	—	53	8	no	—
1383	C₄×D₄	—	53	4	no	—
1384	C₄×D₄	—	53	4	no	—
1385	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1386	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1387	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1388	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1389	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1390	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1391	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1392	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1393	#117	—	53	2	no	—
1394	#117	—	53	2	no	—
1395	#117	—	53	2	no	—
1396	#117	—	53	2	no	—
1397	#117	—	53	4	no	—
1398	#117	—	53	8	no	—
1399	#117	—	53	4	no	—
1400	#117	—	53	8	no	—
1401	#117	—	53	8	no	—
1402	#117	C₂²×D₅₃	1	2	yes	—
1403	#117	C₂²×D₅₃	1	2	yes	—
1404	#117	C₂²×D₅₃	1	2	yes	complemented
1405	#117	C₂²×D₅₃	1	2	yes	complemented
1406	C₂×C₄⋊C₄	—	53	2	no	—
1407	C₂×C₄⋊C₄	—	53	2	no	—
1408	C₂×C₄⋊C₄	—	53	2	no	—
1409	C₂×C₄⋊C₄	—	53	2	no	—
1410	C₂×C₄⋊C₄	—	53	2	no	—
1411	C₂×C₄⋊C₄	—	53	2	no	—
1412	C₂×C₄⋊C₄	—	53	1	no	—
1413	C₂×C₄⋊C₄	—	53	1	no	—
1414	C₂×C₄⋊C₄	—	53	2	no	—
1415	C₂×C₄⋊C₄	—	53	2	no	—
1416	C₂×C₄⋊C₄	—	53	4	no	—
1417	C₂×C₄⋊C₄	—	53	4	no	—
1418	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1419	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1420	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1421	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1422	C₂×C₂²⋊C₄	—	53	2	no	—
1423	C₂×C₂²⋊C₄	—	53	2	no	—
1424	C₂×C₂²⋊C₄	—	53	2	no	—
1425	C₂×C₂²⋊C₄	—	53	4	no	—
1426	C₂×C₂²⋊C₄	—	53	4	no	—
1427	C₂×C₂²⋊C₄	—	53	4	no	—
1428	C₂×C₂²⋊C₄	—	53	4	no	—
1429	C₂×C₂²⋊C₄	—	53	4	no	—
1430	C₂×C₂²⋊C₄	—	53	4	no	—
1431	C₂×C₂²⋊C₄	—	53	2	no	—
1432	C₂×C₂²⋊C₄	—	53	2	no	—
1433	C₂×C₂²⋊C₄	—	53	8	no	—
1434	C₂×C₂²⋊C₄	—	53	8	no	—
1435	C₂×C₂²⋊C₄	—	53	8	no	—
1436	C₂×C₂²⋊C₄	—	53	8	no	—
1437	C₂×C₂²⋊C₄	—	53	8	no	—
1438	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1439	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1440	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1441	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1442	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1443	C₂×C₄²	—	53	2	no	—
1444	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
1445	C₂⁴	—	2	4	no	—
1446	C₂⁴	—	4	2	no	—
1447	C₂⁴	—	4	2	no	—
1448	C₂⁴	—	53	4	no	—
1449	C₂⁴	—	53	4	no	—
1450	C₂⁴	—	53	4	no	—
1451	C₂⁴	—	53	2	no	—
1452	C₂⁴	—	53	8	no	—
1453	C₂⁴	—	212	4	no	—
1454	C₂⁴	—	212	4	no	—
1455	C₂⁴	—	212	4	no	—
1456	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1457	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1458	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1459	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1460	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1461	C₂⁴	C₂³×D₅₃	1	2	yes	—
1462	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1463	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1464	#41	—	2	8	no	—
1465	#41	—	4	4	no	—
1466	#41	—	4	4	no	—
1467	#41	—	4	4	no	—
1468	#41	—	106	8	no	—
1469	#41	—	212	4	no	—
1470	#41	—	212	4	no	—
1471	#41	—	212	16	no	—
1472	#41	—	212	4	no	—
1473	#41	—	212	8	no	—
1474	#41	—	212	16	no	—
1475	#41	—	212	16	no	—
1476	#41	—	212	8	no	—
1477	C₂×Q₈	—	4	2	no	—
1478	C₂×Q₈	—	53	2	no	—
1479	C₂×Q₈	—	53	2	no	—
1480	C₂×Q₈	—	53	8	no	—
1481	C₂×Q₈	—	212	2	no	—
1482	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1483	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1484	C₂×D₄	—	2	8	no	—
1485	C₂×D₄	—	4	2	no	—
1486	C₂×D₄	—	4	4	no	—
1487	C₂×D₄	—	4	4	no	—
1488	C₂×D₄	—	53	4	no	—
1489	C₂×D₄	—	53	4	no	—
1490	C₂×D₄	—	53	4	no	—
1491	C₂×D₄	—	53	4	no	—
1492	C₂×D₄	—	53	8	no	—
1493	C₂×D₄	—	53	8	no	—
1494	C₂×D₄	—	53	8	no	—
1495	C₂×D₄	—	53	4	no	—
1496	C₂×D₄	—	53	4	no	—
1497	C₂×D₄	—	53	8	no	—
1498	C₂×D₄	—	53	8	no	—
1499	C₂×D₄	—	53	8	no	—
1500	C₂×D₄	—	53	8	no	—
1501	C₂×D₄	—	53	8	no	—
1502	C₂×D₄	—	53	4	no	—
1503	C₂×D₄	—	53	4	no	—
1504	C₂×D₄	—	53	2	no	—
1505	C₂×D₄	—	53	8	no	—
1506	C₂×D₄	—	53	2	no	—
1507	C₂×D₄	—	53	8	no	—
1508	C₂×D₄	—	53	8	no	—
1509	C₂×D₄	—	53	4	no	—
1510	C₂×D₄	—	53	4	no	—
1511	C₂×D₄	—	106	16	no	—
1512	C₂×D₄	—	106	8	no	—
1513	C₂×D₄	—	106	8	no	—
1514	C₂×D₄	—	212	4	no	—
1515	C₂×D₄	—	212	4	no	—
1516	C₂×D₄	—	212	4	no	—
1517	C₂×D₄	—	212	4	no	—
1518	C₂×D₄	—	212	2	no	—
1519	C₂×D₄	—	212	8	no	—
1520	C₂×D₄	—	212	4	no	—
1521	C₂×D₄	—	212	8	no	—
1522	C₂×D₄	—	212	8	no	—
1523	C₂×D₄	—	212	16	no	—
1524	C₂×D₄	—	212	16	no	—
1525	C₂×D₄	—	212	16	no	—
1526	C₂×D₄	—	212	16	no	—
1527	C₂×D₄	—	212	4	no	—
1528	C₂×D₄	—	212	8	no	—
1529	C₂×D₄	—	212	8	no	—
1530	C₂×D₄	—	212	8	no	—
1531	C₂×D₄	—	212	8	no	—
1532	C₂×D₄	—	212	4	no	—
1533	C₂×D₄	—	212	16	no	—
1534	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1535	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1536	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1537	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1538	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1539	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1540	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1541	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1542	C₂²×C₄	—	2	4	no	—
1543	C₂²×C₄	—	2	4	no	—
1544	C₂²×C₄	—	2	4	no	—
1545	C₂²×C₄	—	4	2	no	—
1546	C₂²×C₄	—	4	2	no	—
1547	C₂²×C₄	—	4	2	no	—
1548	C₂²×C₄	—	4	2	no	—
1549	C₂²×C₄	—	4	2	no	—
1550	C₂²×C₄	—	4	2	no	—
1551	C₂²×C₄	—	4	2	no	—
1552	C₂²×C₄	—	4	2	no	—
1553	C₂²×C₄	—	4	4	no	—
1554	C₂²×C₄	—	4	2	no	—
1555	C₂²×C₄	—	4	2	no	—
1556	C₂²×C₄	—	4	2	no	—
1557	C₂²×C₄	—	53	2	no	—
1558	C₂²×C₄	—	53	4	no	—
1559	C₂²×C₄	—	53	2	no	—
1560	C₂²×C₄	—	53	2	no	—
1561	C₂²×C₄	—	53	4	no	—
1562	C₂²×C₄	—	53	4	no	—
1563	C₂²×C₄	—	53	8	no	—
1564	C₂²×C₄	—	53	4	no	—
1565	C₂²×C₄	—	53	8	no	—
1566	C₂²×C₄	—	53	4	no	—
1567	C₂²×C₄	—	53	8	no	—
1568	C₂²×C₄	—	53	8	no	—
1569	C₂²×C₄	—	53	8	no	—
1570	C₂²×C₄	—	212	4	no	—
1571	C₂²×C₄	—	212	4	no	—
1572	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1574	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1575	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1576	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1577	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1578	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1579	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1580	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1581	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1582	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1583	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1584	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1585	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1588	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1589	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1590	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1591	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1592	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1595	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1596	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1597	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1598	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1599	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1600	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1601	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1602	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1603	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1604	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1605	C₄⋊C₄	—	53	4	no	—
1606	C₄⋊C₄	—	53	4	no	—
1607	C₄⋊C₄	—	53	2	no	—
1608	C₄⋊C₄	—	53	4	no	—
1609	C₄⋊C₄	—	53	4	no	—
1610	C₄⋊C₄	—	53	2	no	—
1611	C₄⋊C₄	—	53	4	no	—
1612	C₄⋊C₄	—	53	2	no	—
1613	C₄⋊C₄	—	53	2	no	—
1614	C₄⋊C₄	—	53	4	no	—
1615	C₄⋊C₄	—	53	4	no	—
1616	C₄⋊C₄	—	53	4	no	—
1617	C₄⋊C₄	—	53	8	no	—
1618	C₄⋊C₄	—	53	8	no	—
1619	C₄⋊C₄	—	53	8	no	—
1620	C₄⋊C₄	—	53	8	no	—
1621	C₄⋊C₄	—	53	8	no	—
1622	C₄⋊C₄	—	53	8	no	—
1623	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1624	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1625	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1626	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1627	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1628	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1629	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1630	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1631	C₂²⋊C₄	—	53	4	no	—
1632	C₂²⋊C₄	—	53	4	no	—
1633	C₂²⋊C₄	—	53	4	no	—
1634	C₂²⋊C₄	—	53	4	no	—
1635	C₂²⋊C₄	—	53	4	no	—
1636	C₂²⋊C₄	—	53	8	no	—
1637	C₂²⋊C₄	—	53	4	no	—
1638	C₂²⋊C₄	—	53	8	no	—
1639	C₂²⋊C₄	—	53	8	no	—
1640	C₂²⋊C₄	—	53	8	no	—
1641	C₂²⋊C₄	—	53	4	no	—
1642	C₂²⋊C₄	—	53	8	no	—
1643	C₂²⋊C₄	—	53	8	no	—
1644	C₂²⋊C₄	—	53	8	no	—
1645	C₂²⋊C₄	—	53	8	no	—
1646	C₂²⋊C₄	—	53	8	no	—
1647	C₂²⋊C₄	—	53	8	no	—
1648	C₂²⋊C₄	—	53	8	no	—
1649	C₂²⋊C₄	—	53	8	no	—
1650	C₂²⋊C₄	—	53	8	no	—
1651	C₂²⋊C₄	—	53	4	no	—
1652	C₂²⋊C₄	—	53	4	no	—
1653	C₂²⋊C₄	—	53	4	no	—
1654	C₂²⋊C₄	—	53	8	no	—
1655	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1656	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1657	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1658	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1659	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1660	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1661	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1662	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1663	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1664	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1665	C₄²	—	53	4	no	—
1666	C₄²	—	53	4	no	—
1667	C₄²	—	53	8	no	—
1668	C₄²	—	53	8	no	—
1669	C₄²	C₂³×D₅₃	1	4	yes	—
1670	C₄²	C₂³×D₅₃	1	4	yes	—
1671	C₂³	—	2	2	no	—
1672	C₂³	—	2	2	no	—
1673	C₂³	—	2	2	no	—
1674	C₂³	—	2	2	no	—
1675	C₂³	—	2	2	no	—
1676	C₂³	—	2	2	no	—
1677	C₂³	—	2	2	no	—
1678	C₂³	—	2	2	no	—
1679	C₂³	—	2	2	no	—
1680	C₂³	—	2	2	no	—
1681	C₂³	—	2	2	no	—
1682	C₂³	—	2	2	no	—
1683	C₂³	—	2	4	no	—
1684	C₂³	—	4	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	1	no	—
1687	C₂³	—	4	1	no	—
1688	C₂³	—	4	1	no	—
1689	C₂³	—	4	1	no	—
1690	C₂³	—	4	1	no	—
1691	C₂³	—	4	1	no	—
1692	C₂³	—	4	2	no	—
1693	C₂³	—	4	2	no	—
1694	C₂³	—	4	16	no	—
1695	C₂³	—	53	8	no	—
1696	C₂³	—	53	4	no	—
1697	C₂³	—	106	8	no	—
1698	C₂³	—	106	4	no	—
1699	C₂³	—	106	8	no	—
1700	C₂³	—	106	8	no	—
1701	C₂³	—	424	16	no	—
1702	C₂³	—	212	8	no	—
1703	C₂³	—	212	8	no	—
1704	C₂³	—	212	8	no	—
1705	C₂³	—	212	2	no	—
1706	C₂³	—	212	4	no	—
1707	C₂³	—	212	4	no	—
1708	C₂³	—	212	4	no	—
1709	C₂³	—	212	4	no	—
1710	C₂³	—	212	2	no	—
1711	C₂³	—	212	4	no	—
1712	C₂³	—	212	4	no	—
1713	C₂³	#13133263	1	4	yes	complemented
1714	C₂³	C₂⁴×D₅₃	1	4	yes	—
1715	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1716	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1717	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1718	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1719	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1720	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1721	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1722	Q₈	—	2	4	no	—
1723	Q₈	—	4	2	no	—
1724	Q₈	—	106	4	no	—
1725	Q₈	—	212	2	no	—
1726	Q₈	—	212	8	no	—
1727	D₄	—	2	8	no	—
1728	D₄	—	2	8	no	—
1729	D₄	—	2	8	no	—
1730	D₄	—	2	8	no	—
1731	D₄	—	2	4	no	—
1732	D₄	—	4	4	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	4	no	—
1735	D₄	—	106	8	no	—
1736	D₄	—	106	16	no	—
1737	D₄	—	106	16	no	—
1738	D₄	—	106	8	no	—
1739	D₄	—	106	8	no	—
1740	D₄	—	106	8	no	—
1741	D₄	—	106	8	no	—
1742	D₄	—	106	8	no	—
1743	D₄	—	106	4	no	—
1744	D₄	—	212	8	no	—
1745	D₄	—	212	4	no	—
1746	D₄	—	212	4	no	—
1747	D₄	—	212	8	no	—
1748	D₄	—	212	8	no	—
1749	D₄	—	212	2	no	—
1750	D₄	—	212	8	no	—
1751	D₄	—	212	4	no	—
1752	D₄	—	212	8	no	—
1753	D₄	—	212	8	no	—
1754	D₄	—	212	8	no	—
1755	D₄	—	212	8	no	—
1756	D₄	—	212	8	no	—
1757	D₄	—	212	4	no	—
1758	C₂×C₄	—	2	2	no	—
1759	C₂×C₄	—	2	2	no	—
1760	C₂×C₄	—	2	2	no	—
1761	C₂×C₄	—	2	4	no	—
1762	C₂×C₄	—	2	2	no	—
1763	C₂×C₄	—	2	2	no	—
1764	C₂×C₄	—	2	2	no	—
1765	C₂×C₄	—	2	2	no	—
1766	C₂×C₄	—	2	2	no	—
1767	C₂×C₄	—	2	2	no	—
1768	C₂×C₄	—	2	2	no	—
1769	C₂×C₄	—	2	2	no	—
1770	C₂×C₄	—	2	2	no	—
1771	C₂×C₄	—	2	2	no	—
1772	C₂×C₄	—	2	2	no	—
1773	C₂×C₄	—	2	2	no	—
1774	C₂×C₄	—	2	8	no	—
1775	C₂×C₄	—	4	1	no	—
1776	C₂×C₄	—	4	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	1	no	—
1781	C₂×C₄	—	4	1	no	—
1782	C₂×C₄	—	4	1	no	—
1783	C₂×C₄	—	4	1	no	—
1784	C₂×C₄	—	4	1	no	—
1785	C₂×C₄	—	4	1	no	—
1786	C₂×C₄	—	4	1	no	—
1787	C₂×C₄	—	4	2	no	—
1788	C₂×C₄	—	4	4	no	—
1789	C₂×C₄	—	4	2	no	—
1790	C₂×C₄	—	53	4	no	—
1791	C₂×C₄	—	53	4	no	—
1792	C₂×C₄	—	53	4	no	—
1793	C₂×C₄	—	53	8	no	—
1794	C₂×C₄	—	106	8	no	—
1795	C₂×C₄	—	106	4	no	—
1796	C₂×C₄	—	106	8	no	—
1797	C₂×C₄	—	212	4	no	—
1798	C₂×C₄	—	212	8	no	—
1799	C₂×C₄	—	212	8	no	—
1800	C₂×C₄	—	212	8	no	—
1801	C₂×C₄	—	212	8	no	—
1802	C₂×C₄	—	212	4	no	—
1803	C₂×C₄	—	212	4	no	—
1804	C₂×C₄	—	212	2	no	—
1805	C₂×C₄	—	212	2	no	—
1806	C₂×C₄	—	212	8	no	—
1807	C₂×C₄	#13133262	1	4	yes	complemented
1808	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1809	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1810	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1811	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1812	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1813	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1814	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1815	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1816	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1817	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1818	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1819	C₂²	—	2	8	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	4	no	—
1833	C₂²	—	2	4	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	4	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	4	4	no	—
1840	C₂²	—	4	4	no	—
1841	C₂²	—	4	4	no	—
1842	C₂²	—	4	4	no	—
1843	C₂²	—	4	4	no	—
1844	C₂²	—	4	4	no	—
1845	C₂²	—	8	4	no	—
1846	C₂²	—	848	8	no	—
1847	C₂²	—	106	4	no	—
1848	C₂²	—	106	8	no	—
1849	C₂²	—	106	4	no	—
1850	C₂²	—	106	8	no	—
1851	C₂²	—	106	8	no	—
1852	C₂²	—	106	4	no	—
1853	C₂²	—	424	8	no	—
1854	C₂²	—	424	8	no	—
1855	C₂²	—	424	8	no	—
1856	C₂²	—	424	4	no	—
1857	C₂²	C₂×#13133262	1	2	yes	—
1858	C₂²	C₂×#13133263	1	2	yes	—
1859	C₂²	C₂×#13133263	1	2	yes	—
1860	C₂²	C₂×#13133263	1	2	yes	—
1861	C₂²	#16811459	1	2	yes	—
1862	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	2	4	no	—
1870	C₄	—	2	4	no	—
1871	C₄	—	2	4	no	—
1872	C₄	—	106	4	no	—
1873	C₄	—	106	8	no	—
1874	C₄	—	106	4	no	—
1875	C₄	—	106	4	no	—
1876	C₄	C₂×#13133262	1	2	yes	—
1877	C₄	C₂×#13133262	1	2	yes	—
1878	C₂	—	2	2	no	—
1879	C₂	—	2	2	no	—
1880	C₂	—	2	2	no	—
1881	C₂	—	2	2	no	—
1882	C₂	—	2	2	no	—
1883	C₂	—	4	1	no	—
1884	C₂	—	4	1	no	—
1885	C₂	—	4	4	no	—
1886	C₂	—	212	4	no	—
1887	C₂	—	212	8	no	—
1888	C₂	C₂²×#13133262	1	1	yes	characteristic
1889	C₂	C₂²×#13133263	1	1	yes	characteristic
1890	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₂×C₅₃×#525	C₂
hypercenter	C₂×#525	D₅₃
hypocenter	C₅₃	#62818
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #20289031	C₂	semidirect
2. #20289023	C₂	semidirect
3. #20288954	C₂	semidirect
4. #20288950	C₂	semidirect
5. #20288944	C₂	semidirect
6. #20288942	C₂	semidirect
7. #20288909	C₂	semidirect
8. #20288899	C₂	semidirect
9. #20288747	C₂	semidirect
10. #20288735	C₂	semidirect
11. #20288556	C₂	semidirect
12. #20288554	C₂	semidirect
13. #20288479	C₂	semidirect
14. #20288472	C₂	semidirect
15. #20288452	C₂	semidirect
16. #20288450	C₂	semidirect
17. #20288421	C₂	semidirect
18. #20288398	C₂	semidirect
19. #20288384	C₂	semidirect
20. #20288376	C₂	semidirect
21. #20288348	C₂	semidirect
22. #20288344	C₂	semidirect
23. C₂×#16811134	C₂	semidirect
24. C₂²×#13133191	C₂	semidirect
25. C₂×C₅₃×#525	C₂	semidirect
26. C₂×#13133263	C₂²	semidirect
27. C₂×#13133262	C₂²	semidirect
28. C₂²×#11719945	C₂²	semidirect
29. C₂³×D₂₁₂	C₂²	semidirect
30. C₂³×C₂²⋊D₅₃	C₂²	semidirect
31. #16811370	C₂²	semidirect
32. #16811369	C₂²	semidirect
33. #16811363	C₂²	semidirect
34. #16811361	C₂²	semidirect
35. #16811338	C₂²	semidirect
36. #16811336	C₂²	semidirect
37. #16811331	C₂²	semidirect
38. #16811330	C₂²	semidirect
39. #16811325	C₂²	semidirect
40. #16811322	C₂²	semidirect
41. #16811321	C₂²	semidirect
42. #16811321	C₂²	semidirect
43. #16811319	C₂²	semidirect
44. #16811319	C₂²	semidirect
45. #16811319	C₂²	semidirect
46. #16811317	C₂²	semidirect
47. #16811315	C₂²	semidirect
48. #16811313	C₂²	semidirect
49. #16811302	C₂²	semidirect
50. #16811300	C₂²	semidirect
51. #16811297	C₂²	semidirect
52. #16811296	C₂²	semidirect
53. #16811294	C₂²	semidirect
54. #16811292	C₂²	semidirect
55. #16811284	C₂²	semidirect
56. #16811282	C₂²	semidirect
57. #16811277	C₂²	semidirect
58. #16811277	C₂²	semidirect
59. #16811274	C₂²	semidirect
60. #16811273	C₂²	semidirect
61. #16811269	C₂²	semidirect
62. #16811269	C₂²	semidirect
63. #16811269	C₂²	semidirect
64. #16811268	C₂²	semidirect
65. #16811268	C₂²	semidirect
66. #16811265	C₂²	semidirect
67. #16811264	C₂²	semidirect
68. #16811264	C₂²	semidirect
69. #16811263	C₂²	semidirect
70. #16811263	C₂²	semidirect
71. #16811263	C₂²	semidirect
72. #16811262	C₂²	semidirect
73. #16811261	C₂²	semidirect
74. #16811261	C₂²	semidirect
75. #16811260	C₂²	semidirect
76. #16811260	C₂²	semidirect
77. D₄×D₂₁₂	C₂²	semidirect
78. D₄×D₂₁₂	C₂²	semidirect
79. D₄×D₂₁₂	C₂²	semidirect
80. #16811257	C₂²	semidirect
81. #16811257	C₂²	semidirect
82. D₄×C₂²⋊D₅₃	C₂²	semidirect
83. D₄×C₂²⋊D₅₃	C₂²	semidirect
84. D₄×C₂²⋊D₅₃	C₂²	semidirect
85. #16811255	C₂²	semidirect
86. #16811255	C₂²	semidirect
87. #16811251	C₂²	semidirect
88. #16811248	C₂²	semidirect
89. #16811246	C₂²	semidirect
90. #16811244	C₂²	semidirect
91. #16811228	C₂²	semidirect
92. #16811226	C₂²	semidirect
93. #16811225	C₂²	semidirect
94. #16811224	C₂²	semidirect
95. #16811222	C₂²	semidirect
96. #16811220	C₂²	semidirect
97. #16811217	C₂²	semidirect
98. #16811213	C₂²	semidirect
99. #16811213	C₂²	semidirect
100. #16811211	C₂²	semidirect
101. #16811210	C₂²	semidirect
102. #16811209	C₂²	semidirect
103. #16811206	C₂²	semidirect
104. #16811206	C₂²	semidirect
105. #16811204	C₂²	semidirect
106. #16811203	C₂²	semidirect
107. #16811201	C₂²	semidirect
108. #16811201	C₂²	semidirect
109. #16811200	C₂²	semidirect
110. #16811192	C₂²	semidirect
111. #16811189	C₂²	semidirect
112. #16811188	C₂²	semidirect
113. #16811187	C₂²	semidirect
114. #16811187	C₂²	semidirect
115. #16811185	C₂²	semidirect
116. #16811185	C₂²	semidirect
117. #16811184	C₂²	semidirect
118. #16811183	C₂²	semidirect
119. #16811182	C₂²	semidirect
120. #16811181	C₂²	semidirect
121. #16811181	C₂²	semidirect
122. #16811173	C₂²	semidirect
123. #16811168	C₂²	semidirect
124. #16811159	C₂²	semidirect
125. #16811157	C₂²	semidirect
126. #16811136	C₂²	semidirect
127. #16811134	C₂²	semidirect
128. #16811134	C₂²	semidirect
129. #16811134	C₂²	semidirect
130. #16811134	C₂²	semidirect
131. #16811134	C₂²	semidirect
132. #16811134	C₂²	semidirect
133. #16811134	C₂²	semidirect
134. #16811134	C₂²	semidirect
135. #16811134	C₂²	semidirect
136. #16811129	C₂²	semidirect
137. C₂×#13133200	C₂²	semidirect
138. C₂×#13133196	C₂²	semidirect
139. C₂×#13133196	C₂²	semidirect
140. C₂×#13133191	C₂²	semidirect
141. C₂×#13133191	C₂²	semidirect
142. C₂×#13133191	C₂²	semidirect
143. C₂×#13133191	C₂²	semidirect
144. C₂×#13133191	C₂²	semidirect
145. C₂×#13133191	C₂²	semidirect
146. C₂×#13133191	C₂²	semidirect
147. C₂×#13133191	C₂²	semidirect
148. C₂×#13133191	C₂²	semidirect
149. C₂×#13133191	C₂²	semidirect
150. C₂×#13133191	C₂²	semidirect
151. C₂×#13133191	C₂²	semidirect
152. C₂×#13133191	C₂²	semidirect
153. C₂×#13133191	C₂²	semidirect
154. C₂×#13133191	C₂²	semidirect
155. #121×D₅₃	C₂²	semidirect
156. C₂×#13133186	C₂²	semidirect
157. #120×D₅₃	C₂²	semidirect
158. #16811106	C₂²	semidirect
159. #16811103	C₂²	semidirect
160. #16811097	C₂²	semidirect
161. #16811096	C₂²	semidirect
162. #16811095	C₂²	semidirect
163. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
164. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
165. C₂×#13133176	C₂²	semidirect
166. C₂²×C₄⋊Dic₅₃	C₂²	semidirect
167. C₂²×#11719921	C₂²	semidirect
168. C₂²×#41×C₅₃	C₂²	semidirect
169. C₂⁴×C₄×C₅₃	C₂²	semidirect
170. C₅₃×#525	C₂²	semidirect
171. C₅₃×#525	C₂²	semidirect
172. C₅₃×#525	C₂²	semidirect
173. C₅₃×#525	C₂²	semidirect
174. C₅₃×#525	C₂²	semidirect
175. C₅₃×#525	C₂²	semidirect
176. C₅₃×#525	C₂²	semidirect
177. C₅₃×#525	C₂²	semidirect
178. C₂×#123×C₅₃	C₂²	semidirect
179. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
180. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
181. C₂×#121×C₅₃	C₂²	semidirect
182. C₂×#121×C₅₃	C₂²	semidirect
183. C₂×#120×C₅₃	C₂²	semidirect
184. C₂×C₄×D₄×C₅₃	C₂²	semidirect
185. C₂×C₄×D₄×C₅₃	C₂²	semidirect
186. C₂×#117×C₅₃	C₂²	semidirect
190. C₂×#11719949	C₂³	semidirect
194. C₂×#11719945	C₂³	semidirect
195. C₂×#11719945	C₂³	semidirect
196. C₂×#11719945	C₂³	semidirect
197. C₂×#11719945	C₂³	semidirect
199. C₂×#11719947	C₂³	semidirect
200. C₂²×Dic₁₀₆	C₂³	semidirect
208. C₂²×D₂₁₂	C₂³	semidirect
209. C₂²×D₂₁₂	C₂³	semidirect
220. C₂²×C₂²⋊D₅₃	C₂³	semidirect
224. C₂×D₄×D₅₃	C₂³	semidirect
225. C₂×D₄×D₅₃	C₂³	semidirect
227. C₂²×C₄×D₅₃	C₂³	semidirect
228. #13133217	C₂³	semidirect
229. #13133216	C₂³	semidirect
230. #13133214	C₂³	semidirect
231. #13133213	C₂³	semidirect
232. #13133213	C₂³	semidirect
233. #13133213	C₂³	semidirect
234. #13133212	C₂³	semidirect
235. #13133212	C₂³	semidirect
236. #13133212	C₂³	semidirect
237. #13133212	C₂³	semidirect
238. #13133211	C₂³	semidirect
239. #13133210	C₂³	semidirect
240. #13133209	C₂³	semidirect
241. #13133208	C₂³	semidirect
242. #13133208	C₂³	semidirect
243. #13133207	C₂³	semidirect
244. #13133206	C₂³	semidirect
245. #13133206	C₂³	semidirect
246. #13133205	C₂³	semidirect
247. #13133205	C₂³	semidirect
248. #13133203	C₂³	semidirect
249. #13133203	C₂³	semidirect
250. #13133203	C₂³	semidirect
251. #13133203	C₂³	semidirect
252. #13133202	C₂³	semidirect
253. #13133202	C₂³	semidirect
254. #13133202	C₂³	semidirect
255. #13133202	C₂³	semidirect
256. #13133202	C₂³	semidirect
258. #13133201	C₂³	semidirect
259. #13133201	C₂³	semidirect
260. #13133201	C₂³	semidirect
263. #13133200	C₂³	semidirect
264. #13133200	C₂³	semidirect
265. #13133200	C₂³	semidirect
266. #13133200	C₂³	semidirect
267. #13133199	C₂³	semidirect
268. #13133199	C₂³	semidirect
269. #13133199	C₂³	semidirect
270. #13133199	C₂³	semidirect
272. #13133197	C₂³	semidirect
273. #13133197	C₂³	semidirect
278. #13133196	C₂³	semidirect
279. #13133196	C₂³	semidirect
280. #13133196	C₂³	semidirect
281. #13133196	C₂³	semidirect
282. #13133196	C₂³	semidirect
283. #13133195	C₂³	semidirect
284. #13133195	C₂³	semidirect
287. #13133194	C₂³	semidirect
288. #13133193	C₂³	semidirect
289. #13133193	C₂³	semidirect
290. #13133192	C₂³	semidirect
291. #13133192	C₂³	semidirect
292. #13133192	C₂³	semidirect
293. #13133192	C₂³	semidirect
294. #13133192	C₂³	semidirect
315. #13133191	C₂³	semidirect
316. #13133191	C₂³	semidirect
317. #13133191	C₂³	semidirect
318. #13133191	C₂³	semidirect
319. #13133191	C₂³	semidirect
320. #13133191	C₂³	semidirect
321. #13133191	C₂³	semidirect
322. #13133191	C₂³	semidirect
323. #13133191	C₂³	semidirect
324. #13133191	C₂³	semidirect
325. #13133190	C₂³	semidirect
326. #13133190	C₂³	semidirect
327. #13133190	C₂³	semidirect
328. #13133190	C₂³	semidirect
329. #13133190	C₂³	semidirect
330. #13133190	C₂³	semidirect
331. #13133190	C₂³	semidirect
334. #13133189	C₂³	semidirect
335. #13133189	C₂³	semidirect
336. #13133189	C₂³	semidirect
337. #13133189	C₂³	semidirect
338. #13133189	C₂³	semidirect
339. #13133188	C₂³	semidirect
340. #13133188	C₂³	semidirect
341. #13133188	C₂³	semidirect
345. #13133187	C₂³	semidirect
346. #13133187	C₂³	semidirect
347. #13133187	C₂³	semidirect
348. #13133187	C₂³	semidirect
353. #13133186	C₂³	semidirect
357. #13133185	C₂³	semidirect
358. #13133185	C₂³	semidirect
359. #13133185	C₂³	semidirect
360. Q₈×Dic₅₃	C₂³	semidirect
361. C₄×Dic₁₀₆	C₂³	semidirect
362. C₄×D₂₁₂	C₂³	semidirect
363. C₄×D₂₁₂	C₂³	semidirect
364. C₄×D₂₁₂	C₂³	semidirect
365. C₄×D₂₁₂	C₂³	semidirect
368. D₄×Dic₅₃	C₂³	semidirect
369. #13133179	C₂³	semidirect
370. #13133179	C₂³	semidirect
371. #13133179	C₂³	semidirect
376. C₄×C₂²⋊D₅₃	C₂³	semidirect
377. C₄×C₂²⋊D₅₃	C₂³	semidirect
378. C₄×C₂²⋊D₅₃	C₂³	semidirect
379. C₄×C₂²⋊D₅₃	C₂³	semidirect
380. C₄×C₂²⋊D₅₃	C₂³	semidirect
381. C₄×C₂²⋊D₅₃	C₂³	semidirect
382. C₄×C₂²⋊D₅₃	C₂³	semidirect
385. #13133177	C₂³	semidirect
386. #13133177	C₂³	semidirect
387. #13133177	C₂³	semidirect
390. #13133176	C₂³	semidirect
391. #13133176	C₂³	semidirect
392. #13133176	C₂³	semidirect
393. #13133175	C₂³	semidirect
394. #13133175	C₂³	semidirect
395. #13133174	C₂³	semidirect
403. C₂×C₄⋊Dic₅₃	C₂³	semidirect
404. C₂×C₄⋊Dic₅₃	C₂³	semidirect
405. C₂×C₄⋊Dic₅₃	C₂³	semidirect
406. C₂×#11719919	C₂³	semidirect
407. C₂×#11719919	C₂³	semidirect
408. C₄⋊C₄×D₅₃	C₂³	semidirect
418. C₂×#11719921	C₂³	semidirect
419. C₂×#11719921	C₂³	semidirect
420. C₂×#11719921	C₂³	semidirect
424. C₂²⋊C₄×D₅₃	C₂³	semidirect
425. C₂×C₄×Dic₅₃	C₂³	semidirect
430. C₂×#41×C₅₃	C₂³	semidirect
431. C₂×#41×C₅₃	C₂³	semidirect
432. C₂²×Q₈×C₅₃	C₂³	semidirect
436. C₂²×D₄×C₅₃	C₂³	semidirect
452. C₂³×C₄×C₅₃	C₂³	semidirect
455. #123×C₅₃	C₂³	semidirect
456. #123×C₅₃	C₂³	semidirect
461. C₂²⋊Q₈×C₅₃	C₂³	semidirect
462. C₂²⋊Q₈×C₅₃	C₂³	semidirect
463. C₂²⋊Q₈×C₅₃	C₂³	semidirect
464. C₂²⋊Q₈×C₅₃	C₂³	semidirect
469. #121×C₅₃	C₂³	semidirect
470. #121×C₅₃	C₂³	semidirect
471. #121×C₅₃	C₂³	semidirect
472. #121×C₅₃	C₂³	semidirect
481. C₄×D₄×C₅₃	C₂³	semidirect
482. C₄×D₄×C₅₃	C₂³	semidirect
483. C₄×D₄×C₅₃	C₂³	semidirect
484. C₄×D₄×C₅₃	C₂³	semidirect
487. #117×C₅₃	C₂³	semidirect
488. #117×C₅₃	C₂³	semidirect
489. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
490. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
491. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
492. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
496. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
497. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
498. C₂×C₄²×C₅₃	C₂³	semidirect
749. C₂³×C₅₃	H(5,𝔽₂)	semidirect
818. C₂×C₄×C₅₃	H(5,𝔽₂)	semidirect
956. C₂×#525	D₅₃	semidirect
974. C₂²×#41	C₂×D₅₃	semidirect
977. C₂⁴×C₄	C₂×D₅₃	semidirect
1084. #525	C₂×D₅₃	semidirect
1085. #525	C₂×D₅₃	semidirect
1086. #525	C₂×D₅₃	semidirect
1087. #525	C₂×D₅₃	semidirect
1088. #525	C₂×D₅₃	semidirect
1089. #525	C₂×D₅₃	semidirect
1090. #525	C₂×D₅₃	semidirect
1091. #525	C₂×D₅₃	semidirect
1093. C₂×#123	C₂×D₅₃	semidirect
1096. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1097. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1114. C₂×#121	C₂×D₅₃	semidirect
1115. C₂×#121	C₂×D₅₃	semidirect
1118. C₂×#120	C₂×D₅₃	semidirect
1126. C₂×C₄×D₄	C₂×D₅₃	semidirect
1127. C₂×C₄×D₄	C₂×D₅₃	semidirect
1129. C₂×#117	C₂×D₅₃	semidirect
1132. C₅₃	#62818	semidirect
1150. C₂×#41	C₂²×D₅₃	semidirect
1151. C₂×#41	C₂²×D₅₃	semidirect
1153. C₂²×Q₈	C₂²×D₅₃	semidirect
1182. C₂²×D₄	C₂²×D₅₃	semidirect
1200. C₂³×C₄	C₂²×D₅₃	semidirect
1247. #123	C₂²×D₅₃	semidirect
1248. #123	C₂²×D₅₃	semidirect
1271. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1272. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1273. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1274. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1331. #121	C₂²×D₅₃	semidirect
1332. #121	C₂²×D₅₃	semidirect
1333. #121	C₂²×D₅₃	semidirect
1334. #121	C₂²×D₅₃	semidirect
1389. C₄×D₄	C₂²×D₅₃	semidirect
1390. C₄×D₄	C₂²×D₅₃	semidirect
1391. C₄×D₄	C₂²×D₅₃	semidirect
1392. C₄×D₄	C₂²×D₅₃	semidirect
1404. #117	C₂²×D₅₃	semidirect
1405. #117	C₂²×D₅₃	semidirect
1418. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1419. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1420. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1421. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1441. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1442. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1444. C₂×C₄²	C₂²×D₅₃	semidirect
1713. C₂³	#13133263	semidirect
1807. C₂×C₄	#13133262	semidirect

Maximal subgroups

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

subgroup	index
#20289031	2
#20289023	2
#20288954	2
#20288950	2
#20288944	2
#20288942	2
#20288909	2
#20288899	2
#20288747	2
#20288735	2
#20288556	2
#20288554	2
#20288479	2
#20288472	2
#20288452	2
#20288450	2
#20288421	2
#20288398	2
#20288384	2
#20288376	2
#20288348	2
#20288344	2
C₂×#16811134	2
C₂²×#13133191	2
C₂×C₅₃×#525	2
#62818	53