Subgroups — #28293134

Order 13568.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288790	C₂	1	4	yes	maximal, complemented
2	#20288788	C₂	1	4	yes	maximal, complemented
3	#20288750	C₂	1	4	yes	maximal, complemented
4	#20288743	C₂	1	4	yes	maximal, complemented
5	#20288679	C₂	1	4	yes	maximal, complemented
6	#20288672	C₂	1	4	yes	maximal, complemented
7	#20288662	C₂	1	4	yes	maximal, complemented
8	#20288660	C₂	1	4	yes	maximal, complemented
9	#20288560	C₂	1	2	yes	maximal, complemented
10	#20288550	C₂	1	4	yes	maximal, complemented
11	#20288517	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288478	C₂	1	1	yes	maximal, characteristic, complemented
13	#20288435	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288401	C₂	1	4	yes	maximal, complemented
15	#20288348	C₂	1	2	yes	maximal, complemented
16	#20288138	C₂	1	1	yes	maximal, characteristic, complemented
17	#20288132	C₂	1	1	yes	maximal, characteristic, complemented
18	#20288125	C₂	1	4	yes	maximal, complemented
19	#20288103	C₂	1	2	yes	maximal, complemented
20	#538×D₅₃	C₂	1	4	yes	maximal, complemented
21	#20287921	C₂	1	2	yes	maximal, complemented
22	C₂×#16811097	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13133263	C₂²	1	2	yes	—
25	C₂³×D₂₁₂	C₂²	1	1	yes	characteristic
26	#16811358	C₂²	1	4	yes	complemented
27	#16811356	C₂²	1	4	yes	complemented
28	#16811345	C₂²	1	4	yes	complemented
29	#16811341	C₂²	1	4	yes	complemented
30	#16811336	C₂²	1	4	yes	complemented
31	#16811336	C₂²	1	4	yes	complemented
32	#16811334	C₂²	1	4	yes	complemented
33	#16811329	C₂²	1	4	yes	complemented
34	#16811329	C₂²	1	4	yes	complemented
35	#16811326	C₂²	1	4	yes	complemented
36	#16811324	C₂²	1	8	yes	complemented
37	#16811323	C₂²	1	4	yes	complemented
38	#16811321	C₂²	1	4	yes	complemented
39	#16811317	C₂²	1	4	yes	complemented
40	#16811317	C₂²	1	4	yes	complemented
41	#16811317	C₂²	1	8	yes	complemented
42	#16811314	C₂²	1	4	yes	complemented
43	#16811312	C₂²	1	4	yes	complemented
44	#16811311	C₂²	1	4	yes	complemented
45	#16811303	C₂²	1	8	yes	complemented
46	#16811301	C₂²	1	8	yes	complemented
47	#16811298	C₂²	1	8	yes	complemented
48	#16811298	C₂²	1	8	yes	complemented
49	#16811298	C₂²	1	8	yes	complemented
50	#16811297	C₂²	1	8	yes	complemented
51	#16811294	C₂²	1	4	yes	complemented
52	#16811288	C₂²	1	4	yes	complemented
53	#16811285	C₂²	1	4	yes	complemented
54	#16811281	C₂²	1	4	yes	complemented
55	#16811275	C₂²	1	4	yes	complemented
56	#16811274	C₂²	1	4	yes	complemented
57	#16811270	C₂²	1	8	yes	complemented
58	#16811270	C₂²	1	4	yes	complemented
59	#16811269	C₂²	1	4	yes	complemented
60	#16811269	C₂²	1	4	yes	complemented
61	#16811268	C₂²	1	4	yes	complemented
62	#16811266	C₂²	1	8	yes	complemented
63	#16811266	C₂²	1	4	yes	complemented
64	#16811265	C₂²	1	8	yes	complemented
65	#16811264	C₂²	1	4	yes	complemented
66	#16811264	C₂²	1	4	yes	complemented
67	#16811264	C₂²	1	4	yes	complemented
68	#16811262	C₂²	1	8	yes	complemented
69	D₄×D₂₁₂	C₂²	1	4	yes	complemented
70	D₄×D₂₁₂	C₂²	1	4	yes	complemented
71	#16811257	C₂²	1	4	yes	complemented
72	#16811257	C₂²	1	4	yes	complemented
73	#16811257	C₂²	1	4	yes	complemented
74	#16811254	C₂²	1	1	yes	characteristic, complemented
75	#16811248	C₂²	1	4	yes	complemented
76	#16811247	C₂²	1	4	yes	complemented
77	#16811246	C₂²	1	2	yes	complemented
78	#16811246	C₂²	1	2	yes	complemented
79	#16811246	C₂²	1	4	yes	complemented
80	#16811240	C₂²	1	2	yes	complemented
81	#16811240	C₂²	1	2	yes	complemented
82	#16811233	C₂²	1	2	yes	complemented
83	#16811233	C₂²	1	2	yes	complemented
84	#16811229	C₂²	1	4	yes	complemented
85	#16811226	C₂²	1	2	yes	complemented
86	#16811226	C₂²	1	2	yes	complemented
87	#16811226	C₂²	1	4	yes	complemented
88	#16811221	C₂²	1	8	yes	complemented
89	#16811217	C₂²	1	4	yes	complemented
90	#16811217	C₂²	1	4	yes	complemented
91	#16811214	C₂²	1	8	yes	complemented
92	#16811213	C₂²	1	4	yes	complemented
93	#16811212	C₂²	1	8	yes	complemented
94	#16811212	C₂²	1	8	yes	complemented
95	#16811211	C₂²	1	4	yes	complemented
96	#16811210	C₂²	1	4	yes	complemented
97	#16811209	C₂²	1	8	yes	complemented
98	#16811208	C₂²	1	4	yes	complemented
99	#16811208	C₂²	1	4	yes	complemented
100	#16811207	C₂²	1	8	yes	complemented
101	#16811207	C₂²	1	8	yes	complemented
102	#16811206	C₂²	1	8	yes	complemented
103	#16811205	C₂²	1	8	yes	complemented
104	#16811204	C₂²	1	1	yes	characteristic, complemented
105	#16811192	C₂²	1	2	yes	complemented
106	#16811187	C₂²	1	2	yes	complemented
107	#16811184	C₂²	1	8	yes	complemented
108	#16811181	C₂²	1	4	yes	complemented
109	#16811176	C₂²	1	2	yes	complemented
110	#16811174	C₂²	1	4	yes	complemented
111	#16811169	C₂²	1	2	yes	complemented
112	#16811168	C₂²	1	4	yes	complemented
113	#16811160	C₂²	1	8	yes	complemented
114	#16811159	C₂²	1	4	yes	complemented
115	#16811158	C₂²	1	4	yes	complemented
116	#16811157	C₂²	1	4	yes	complemented
117	#16811155	C₂²	1	4	yes	complemented
118	#16811155	C₂²	1	4	yes	complemented
119	#16811153	C₂²	1	4	yes	complemented
120	#16811153	C₂²	1	4	yes	complemented
121	#16811151	C₂²	1	8	yes	complemented
122	#126×D₅₃	C₂²	1	8	yes	complemented
123	#124×D₅₃	C₂²	1	8	yes	complemented
124	#16811136	C₂²	1	4	yes	complemented
125	#16811135	C₂²	1	8	yes	complemented
126	#16811134	C₂²	1	2	yes	complemented
127	#16811133	C₂²	1	4	yes	complemented
128	#16811132	C₂²	1	8	yes	complemented
129	#16811132	C₂²	1	8	yes	complemented
130	#123×D₅₃	C₂²	1	8	yes	complemented
131	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
132	#121×D₅₃	C₂²	1	8	yes	complemented
133	#121×D₅₃	C₂²	1	4	yes	complemented
134	#120×D₅₃	C₂²	1	8	yes	complemented
135	#16811105	C₂²	1	4	yes	complemented
136	#16811104	C₂²	1	2	yes	complemented
137	#16811104	C₂²	1	4	yes	complemented
138	#16811097	C₂²	1	2	yes	—
139	#16811097	C₂²	1	4	yes	complemented
140	#16811097	C₂²	1	4	yes	complemented
141	#16811097	C₂²	1	4	yes	complemented
142	#16811097	C₂²	1	4	yes	complemented
143	#16811097	C₂²	1	4	yes	complemented
144	#16811095	C₂²	1	8	yes	complemented
145	#16811095	C₂²	1	4	yes	complemented
146	#41×Dic₅₃	C₂²	1	2	yes	complemented
147	C₄×#11719949	C₂²	1	4	yes	complemented
148	#16811091	C₂²	1	2	yes	complemented
149	#16811091	C₂²	1	4	yes	complemented
150	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
151	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
152	C₂×#13133179	C₂²	1	1	yes	characteristic
153	C₂×#13133179	C₂²	1	1	yes	characteristic
154	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
155	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
156	C₂×#13133179	C₂²	1	4	yes	complemented
157	C₄×D₄×D₅₃	C₂²	1	8	yes	complemented
158	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
159	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
161	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
162	C₅₃×#556	C₂²	1	4	yes	complemented
163	C₅₃×#555	C₂²	1	4	yes	complemented
164	C₅₃×#553	C₂²	1	4	yes	complemented
165	C₅₃×#552	C₂²	1	4	yes	complemented
166	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#538	C₂²	1	4	yes	complemented
168	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
169	C₅₃×#529	C₂²	1	4	yes	complemented
170	C₅₃×#525	C₂²	1	2	yes	complemented
171	C₅₃×#520	C₂²	1	2	yes	complemented
172	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₅₃	C₂³	1	2	yes	—
174	#13133263	—	2	16	no	—
175	C₂×#11719949	C₂³	1	4	yes	—
176	C₂×#11719949	C₂³	1	4	yes	complemented
177	C₂×#11719945	C₂³	1	4	yes	—
178	C₂×#11719945	C₂³	1	2	yes	—
179	C₂×#11719945	C₂³	1	8	yes	complemented
180	C₂×#11719947	C₂³	1	4	yes	complemented
181	C₂×Q₈×D₅₃	C₂³	1	4	yes	complemented
182	C₂²×D₂₁₂	—	2	8	no	—
183	C₂²×D₂₁₂	C₂³	1	4	yes	—
184	C₂²×D₂₁₂	C₂³	1	4	yes	—
185	C₂²×D₂₁₂	C₂³	1	4	yes	—
186	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
187	C₂²×D₂₁₂	C₂³	1	2	yes	—
188	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
189	C₂×D₄×D₅₃	C₂³	1	4	yes	—
190	C₂×D₄×D₅₃	C₂³	1	8	yes	—
191	C₂×D₄×D₅₃	C₂³	1	8	yes	—
192	C₂×D₄×D₅₃	C₂³	1	8	yes	—
193	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
194	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
195	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
196	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
197	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
198	C₂²×C₄×D₅₃	C₂³	1	8	yes	complemented
199	#13133216	C₂³	1	2	yes	complemented
200	#13133216	C₂³	1	2	yes	complemented
201	#13133216	C₂³	1	4	yes	complemented
202	#13133215	C₂³	1	2	yes	complemented
203	#13133214	C₂³	1	4	yes	—
204	#13133213	C₂³	1	4	yes	—
205	#13133213	C₂³	1	2	yes	complemented
206	#13133212	C₂³	1	4	yes	complemented
207	#13133212	C₂³	1	8	yes	complemented
208	#13133212	C₂³	1	8	yes	complemented
209	#13133212	C₂³	1	8	yes	complemented
210	#13133212	C₂³	1	4	yes	complemented
211	#13133211	C₂³	1	8	yes	complemented
212	#13133211	C₂³	1	8	yes	complemented
213	#13133210	C₂³	1	4	yes	—
214	#13133210	C₂³	1	4	yes	—
215	#13133210	C₂³	1	8	yes	—
216	#13133210	C₂³	1	4	yes	—
217	#13133210	C₂³	1	4	yes	—
218	#13133210	C₂³	1	4	yes	complemented
219	#13133210	C₂³	1	4	yes	complemented
220	#13133209	C₂³	1	4	yes	complemented
221	#13133208	C₂³	1	4	yes	complemented
222	#13133208	C₂³	1	4	yes	complemented
223	#13133208	C₂³	1	2	yes	complemented
224	#13133208	C₂³	1	2	yes	complemented
225	#13133208	C₂³	1	4	yes	complemented
226	#13133207	C₂³	1	4	yes	complemented
227	#13133207	C₂³	1	4	yes	complemented
228	#13133206	C₂³	1	4	yes	—
229	#13133206	C₂³	1	2	yes	complemented
230	#13133206	C₂³	1	8	yes	complemented
231	#13133205	C₂³	1	4	yes	—
232	#13133205	C₂³	1	4	yes	complemented
233	#13133205	C₂³	1	8	yes	complemented
234	#13133204	C₂³	1	4	yes	—
235	#13133204	C₂³	1	4	yes	—
236	#13133204	C₂³	1	2	yes	complemented
237	#13133203	C₂³	1	4	yes	—
238	#13133203	C₂³	1	8	yes	—
239	#13133203	C₂³	1	4	yes	—
240	#13133203	C₂³	1	8	yes	complemented
241	#13133203	C₂³	1	8	yes	complemented
242	#13133202	C₂³	1	8	yes	—
243	#13133202	C₂³	1	8	yes	—
244	#13133202	C₂³	1	8	yes	complemented
245	#13133202	C₂³	1	8	yes	complemented
246	#13133202	C₂³	1	8	yes	complemented
247	#13133202	C₂³	1	8	yes	complemented
248	#13133202	C₂³	1	8	yes	complemented
249	#13133201	C₂³	1	4	yes	complemented
250	#13133201	C₂³	1	8	yes	complemented
251	#13133201	C₂³	1	4	yes	complemented
252	#13133200	C₂³	1	4	yes	—
253	#13133200	C₂³	1	8	yes	complemented
254	#13133199	C₂³	1	4	yes	—
255	#13133199	C₂³	1	8	yes	—
256	#13133199	C₂³	1	4	yes	—
257	#13133199	C₂³	1	4	yes	complemented
258	#13133199	C₂³	1	8	yes	complemented
259	#13133199	C₂³	1	8	yes	complemented
260	#13133199	C₂³	1	8	yes	complemented
261	#13133199	C₂³	1	4	yes	complemented
262	#13133198	C₂³	1	4	yes	—
263	#13133198	C₂³	1	4	yes	—
264	#13133197	C₂³	1	4	yes	complemented
265	#13133197	C₂³	1	4	yes	complemented
266	#13133197	C₂³	1	8	yes	complemented
267	#13133197	C₂³	1	4	yes	complemented
268	#13133197	C₂³	1	4	yes	complemented
269	#13133197	C₂³	1	4	yes	complemented
270	#13133196	C₂³	1	2	yes	—
271	#13133196	C₂³	1	2	yes	—
272	#13133196	C₂³	1	4	yes	—
273	#13133195	C₂³	1	8	yes	complemented
274	#13133195	C₂³	1	8	yes	complemented
275	#13133195	C₂³	1	8	yes	complemented
276	#13133195	C₂³	1	8	yes	complemented
277	#13133194	C₂³	1	4	yes	—
278	#13133194	C₂³	1	4	yes	—
279	#13133194	C₂³	1	4	yes	complemented
280	#13133194	C₂³	1	4	yes	complemented
281	#13133193	C₂³	1	8	yes	complemented
282	#13133193	C₂³	1	4	yes	complemented
283	#13133193	C₂³	1	4	yes	complemented
284	#13133192	C₂³	1	4	yes	—
285	#13133192	C₂³	1	8	yes	—
286	#13133192	C₂³	1	8	yes	—
287	#13133192	C₂³	1	4	yes	—
288	#13133192	C₂³	1	4	yes	complemented
289	#13133192	C₂³	1	4	yes	complemented
290	#13133192	C₂³	1	4	yes	complemented
291	#13133192	C₂³	1	8	yes	complemented
292	#13133191	C₂³	1	4	yes	—
293	#13133191	C₂³	1	4	yes	—
294	#13133191	C₂³	1	2	yes	—
295	#13133191	C₂³	1	2	yes	—
296	#13133191	C₂³	1	4	yes	—
297	#13133191	C₂³	1	8	yes	complemented
298	#13133190	C₂³	1	8	yes	—
299	#13133190	C₂³	1	8	yes	—
300	#13133190	C₂³	1	8	yes	—
301	#13133190	C₂³	1	8	yes	complemented
302	#13133190	C₂³	1	8	yes	complemented
303	#13133190	C₂³	1	8	yes	complemented
304	#13133189	C₂³	1	4	yes	—
305	#13133189	C₂³	1	4	yes	—
306	#13133189	C₂³	1	4	yes	—
307	#13133189	C₂³	1	4	yes	—
308	#13133189	C₂³	1	8	yes	complemented
309	#13133188	C₂³	1	4	yes	—
310	#13133188	C₂³	1	4	yes	—
311	#13133188	C₂³	1	4	yes	complemented
312	#13133188	C₂³	1	4	yes	complemented
313	#13133187	C₂³	1	8	yes	—
314	#13133187	C₂³	1	8	yes	—
315	#13133187	C₂³	1	8	yes	—
316	#13133187	C₂³	1	8	yes	—
317	#13133187	C₂³	1	8	yes	—
318	#13133187	C₂³	1	8	yes	complemented
319	#13133186	C₂³	1	4	yes	—
320	#13133185	C₂³	1	8	yes	—
321	#13133185	C₂³	1	8	yes	—
322	#13133185	C₂³	1	8	yes	—
323	#13133185	C₂³	1	8	yes	complemented
324	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
325	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
326	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
327	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
328	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
329	#13133182	C₂³	1	4	yes	complemented
330	#13133182	C₂³	1	2	yes	complemented
331	#13133182	C₂³	1	2	yes	complemented
332	C₄×D₂₁₂	C₂³	1	4	yes	—
333	C₄×D₂₁₂	C₂³	1	4	yes	—
334	C₄×D₂₁₂	C₂³	1	4	yes	—
335	C₄×D₂₁₂	C₂³	1	4	yes	—
336	C₄×D₂₁₂	C₂³	1	4	yes	—
337	C₄×D₂₁₂	C₂³	1	4	yes	—
338	C₄×D₂₁₂	C₂³	1	8	yes	—
339	C₄×D₂₁₂	C₂³	1	8	yes	—
340	C₄×D₂₁₂	C₂³	1	8	yes	complemented
341	C₄×D₂₁₂	C₂³	1	8	yes	complemented
342	C₄×D₂₁₂	C₂³	1	4	yes	complemented
343	C₄×D₂₁₂	C₂³	1	8	yes	complemented
344	D₄×Dic₅₃	C₂³	1	4	yes	—
345	D₄×Dic₅₃	C₂³	1	4	yes	—
346	D₄×Dic₅₃	C₂³	1	2	yes	complemented
347	D₄×Dic₅₃	C₂³	1	2	yes	complemented
348	#13133179	C₂³	1	4	yes	—
349	#13133179	C₂³	1	4	yes	—
350	#13133179	C₂³	1	4	yes	—
351	#13133179	C₂³	1	4	yes	—
352	#13133179	C₂³	1	4	yes	—
353	#13133179	C₂³	1	4	yes	—
354	#13133179	C₂³	1	4	yes	—
355	#13133179	C₂³	1	4	yes	—
356	#13133179	C₂³	1	4	yes	—
357	#13133179	C₂³	1	4	yes	—
358	#13133179	C₂³	1	8	yes	complemented
359	#13133179	C₂³	1	8	yes	complemented
360	#13133179	C₂³	1	4	yes	complemented
361	#13133179	C₂³	1	8	yes	complemented
362	#13133179	C₂³	1	2	yes	complemented
363	#13133179	C₂³	1	2	yes	complemented
364	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
365	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
366	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
367	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
368	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
369	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
370	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
371	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
372	#13133177	C₂³	1	4	yes	—
373	#13133177	C₂³	1	4	yes	—
374	#13133177	C₂³	1	8	yes	complemented
375	#13133177	C₂³	1	8	yes	complemented
376	#13133177	C₂³	1	8	yes	complemented
377	#13133176	C₂³	1	2	yes	—
378	#13133176	C₂³	1	2	yes	—
379	#13133176	C₂³	1	2	yes	—
380	#13133176	C₂³	1	2	yes	—
381	#13133176	C₂³	1	2	yes	—
382	#13133176	C₂³	1	4	yes	complemented
383	#13133175	C₂³	1	8	yes	complemented
384	#13133175	C₂³	1	4	yes	complemented
385	#13133175	C₂³	1	4	yes	complemented
386	#13133175	C₂³	1	4	yes	complemented
387	#13133174	C₂³	1	8	yes	complemented
388	#13133174	C₂³	1	8	yes	complemented
389	#13133174	C₂³	1	8	yes	complemented
390	#13133174	C₂³	1	4	yes	complemented
391	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
393	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
394	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
395	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
396	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
397	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
398	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
400	C₂×#11719921	C₂³	1	2	yes	—
401	C₂×#11719921	C₂³	1	2	yes	—
402	C₂×#11719921	C₂³	1	2	yes	—
403	C₂×#11719921	C₂³	1	2	yes	—
404	C₂×#11719921	C₂³	1	8	yes	complemented
405	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
406	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
407	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
408	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
409	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
410	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
411	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
412	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
413	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
414	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
415	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
416	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
417	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
418	C₄²×D₅₃	C₂³	1	8	yes	complemented
419	C₄²×D₅₃	C₂³	1	4	yes	complemented
420	C₂×#41×C₅₃	C₂³	1	2	yes	—
421	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
422	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
423	#126×C₅₃	C₂³	1	8	yes	—
424	#126×C₅₃	C₂³	1	8	yes	complemented
425	#125×C₅₃	C₂³	1	4	yes	complemented
426	#125×C₅₃	C₂³	1	4	yes	complemented
427	#124×C₅₃	C₂³	1	8	yes	—
428	#124×C₅₃	C₂³	1	4	yes	complemented
429	#123×C₅₃	C₂³	1	8	yes	—
430	#123×C₅₃	C₂³	1	4	yes	—
431	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
432	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
433	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
434	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
435	#121×C₅₃	C₂³	1	8	yes	—
436	#121×C₅₃	C₂³	1	2	yes	—
437	#121×C₅₃	C₂³	1	2	yes	—
438	#121×C₅₃	C₂³	1	4	yes	—
439	#121×C₅₃	C₂³	1	4	yes	complemented
440	#120×C₅₃	C₂³	1	4	yes	—
441	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
442	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
443	C₄×D₄×C₅₃	C₂³	1	4	yes	—
444	C₄×D₄×C₅₃	C₂³	1	4	yes	—
445	C₄×D₄×C₅₃	C₂³	1	8	yes	—
446	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
447	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
448	#117×C₅₃	C₂³	1	4	yes	—
449	#117×C₅₃	C₂³	1	4	yes	—
450	#117×C₅₃	C₂³	1	2	yes	—
451	#117×C₅₃	C₂³	1	8	yes	complemented
452	#117×C₅₃	C₂³	1	4	yes	complemented
453	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
454	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
455	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
456	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
457	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
458	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
459	C₂³×D₅₃	—	2	8	no	—
460	C₂³×D₅₃	—	8	2	no	—
461	C₂³×D₅₃	—	8	2	no	—
462	C₂³×D₅₃	C₂⁴	1	8	yes	—
463	C₂³×D₅₃	C₂⁴	1	8	yes	—
464	C₂³×D₅₃	C₂⁴	1	2	yes	—
465	C₂³×D₅₃	C₂⁴	1	2	yes	—
466	#41×C₅₃	—	2	8	no	—
467	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
468	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
469	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
470	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
471	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
472	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
473	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
474	C₂²×C₄×C₅₃	—	2	4	no	—
475	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
477	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
478	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
479	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
480	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	—
482	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
483	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
484	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
485	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
486	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
487	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
488	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
489	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
490	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
491	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
492	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
493	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
494	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
495	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
496	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
497	#11719949	—	2	16	no	—
498	#11719949	—	8	4	no	—
499	Q₈×D₅₃	—	8	4	no	—
500	#11719947	—	8	4	no	—
501	D₄×D₅₃	—	2	32	no	—
502	D₄×D₅₃	—	2	16	no	—
503	D₄×D₅₃	—	8	8	no	—
504	D₄×D₅₃	—	8	8	no	—
505	D₄×D₅₃	—	8	4	no	—
506	#11719945	—	2	8	no	—
507	#11719945	—	2	16	no	—
508	#11719945	—	8	8	no	—
509	C₂×D₂₁₂	—	2	8	no	—
510	C₂×D₂₁₂	—	2	4	no	—
511	C₂×D₂₁₂	—	2	16	no	—
512	C₂×D₂₁₂	—	2	16	no	—
513	C₂×D₂₁₂	—	2	16	no	—
514	C₂×D₂₁₂	#41	1	8	yes	complemented
515	C₂×D₂₁₂	C₂⁴	1	4	yes	—
516	C₂×D₂₁₂	C₂⁴	1	2	yes	—
517	C₂×D₂₁₂	C₂⁴	1	8	yes	—
518	C₂×D₂₁₂	C₂⁴	1	4	yes	—
519	C₂×D₂₁₂	C₂⁴	1	4	yes	—
520	C₂×D₂₁₂	C₂⁴	1	8	yes	—
521	C₂×D₂₁₂	C₂⁴	1	8	yes	—
522	C₂×D₂₁₂	C₂⁴	1	4	yes	—
523	C₂×D₂₁₂	C₂⁴	1	4	yes	—
524	C₂×C₄×D₅₃	—	8	2	no	—
525	C₂×C₄×D₅₃	—	8	2	no	—
526	C₂×C₄×D₅₃	—	8	2	no	—
527	C₂×C₄×D₅₃	—	8	2	no	—
528	C₂×C₄×D₅₃	—	8	8	no	—
529	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
530	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
531	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
532	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
533	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
534	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
535	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
536	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
537	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
538	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
539	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
540	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
541	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
542	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
543	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
544	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
545	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
546	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
547	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
548	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
549	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
550	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
551	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
552	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
553	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
554	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
555	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
556	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
557	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
558	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
559	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
560	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
561	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
562	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
563	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
564	C₄²×C₅₃	C₂⁴	1	4	yes	—
565	C₄²×C₅₃	C₂⁴	1	4	yes	—
566	C₄²×C₅₃	C₂⁴	1	4	yes	—
567	C₄²×C₅₃	C₂⁴	1	8	yes	—
568	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
569	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
570	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
571	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
572	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
573	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
574	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
575	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
576	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
577	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
578	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
579	#11719921	C₂⁴	1	4	yes	—
580	#11719921	C₂⁴	1	4	yes	—
581	#11719921	C₂⁴	1	8	yes	—
582	#11719921	C₂⁴	1	8	yes	—
583	#11719921	C₂⁴	1	4	yes	—
584	#11719921	C₂⁴	1	4	yes	—
585	#11719921	C₂⁴	1	8	yes	—
586	#11719921	C₂⁴	1	8	yes	—
587	#11719921	C₂⁴	1	8	yes	—
588	#11719921	C₂⁴	1	8	yes	—
589	#11719921	C₂⁴	1	8	yes	—
590	#11719921	C₂⁴	1	8	yes	—
591	#11719921	C₂⁴	1	4	yes	—
592	#11719921	C₂⁴	1	4	yes	—
593	#11719921	C₂⁴	1	8	yes	—
594	#11719921	C₂⁴	1	8	yes	—
595	#11719921	C₂⁴	1	4	yes	—
596	#11719921	C₂⁴	1	4	yes	—
597	#11719921	C₂⁴	1	4	yes	—
598	#11719921	C₂⁴	1	4	yes	—
599	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
600	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
601	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
602	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
603	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
604	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
605	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
606	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
607	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
608	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
609	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
610	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
611	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
612	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
613	#11719919	C₂⁴	1	4	yes	—
614	#11719919	C₂⁴	1	8	yes	—
615	#11719919	C₂⁴	1	4	yes	—
616	#11719919	C₂⁴	1	4	yes	—
617	#11719919	C₂⁴	1	4	yes	—
618	#11719919	C₂⁴	1	8	yes	—
619	#11719919	C₂⁴	1	4	yes	—
620	#11719919	C₂⁴	1	4	yes	—
621	#11719919	C₂⁴	1	4	yes	—
622	#11719919	C₂⁴	1	4	yes	—
623	#11719919	C₂⁴	1	4	yes	—
624	#11719919	C₂⁴	1	4	yes	—
625	C₄×Dic₅₃	C₂⁴	1	4	yes	—
626	C₄×Dic₅₃	C₂⁴	1	2	yes	—
627	C₄×Dic₅₃	C₂⁴	1	4	yes	—
628	C₄×Dic₅₃	C₂⁴	1	8	yes	—
629	C₄×Dic₅₃	C₂⁴	1	4	yes	—
630	C₄×Dic₅₃	C₂⁴	1	2	yes	—
631	C₄×Dic₅₃	C₂⁴	1	2	yes	—
632	C₄×Dic₅₃	C₂⁴	1	2	yes	—
633	C₄×Dic₅₃	C₂⁴	1	4	yes	—
634	C₄×Dic₅₃	C₂⁴	1	4	yes	—
635	C₂³×C₅₃	—	2	2	no	—
636	C₂³×C₅₃	—	4	1	no	—
637	C₂³×C₅₃	—	4	1	no	—
638	C₂³×C₅₃	C₂⁵	1	4	yes	—
639	C₂³×C₅₃	C₂⁵	1	2	yes	—
640	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
641	C₂²×D₅₃	—	2	4	no	—
642	C₂²×D₅₃	—	2	16	no	—
643	C₂²×D₅₃	—	2	16	no	—
644	C₂²×D₅₃	—	4	2	no	—
645	C₂²×D₅₃	—	4	2	no	—
646	C₂²×D₅₃	—	4	2	no	—
647	C₂²×D₅₃	—	4	2	no	—
648	C₂²×D₅₃	—	4	8	no	—
649	C₂²×D₅₃	—	4	8	no	—
650	C₂²×D₅₃	—	4	8	no	—
651	C₂²×D₅₃	—	4	8	no	—
652	C₂²×D₅₃	—	8	16	no	—
653	C₂²×D₅₃	C₂×#41	1	8	yes	—
654	C₂²×D₅₃	C₂⁵	1	4	yes	—
655	C₂²×D₅₃	C₂⁵	1	4	yes	—
656	C₂²×D₅₃	C₂⁵	1	4	yes	—
657	Q₈×C₅₃	—	2	4	no	—
658	Q₈×C₅₃	—	4	4	no	—
659	D₄×C₅₃	—	2	8	no	—
660	D₄×C₅₃	—	2	4	no	—
661	D₄×C₅₃	—	4	4	no	—
662	D₄×C₅₃	—	4	4	no	—
663	D₄×C₅₃	—	4	4	no	—
664	C₂×C₄×C₅₃	—	2	2	no	—
665	C₂×C₄×C₅₃	—	2	4	no	—
666	C₂×C₄×C₅₃	—	2	4	no	—
667	C₂×C₄×C₅₃	—	2	8	no	—
668	C₂×C₄×C₅₃	—	4	2	no	—
669	C₂×C₄×C₅₃	—	4	2	no	—
670	C₂×C₄×C₅₃	—	4	8	no	—
671	C₂×C₄×C₅₃	C₂×#41	1	4	yes	—
672	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
673	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
674	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
675	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
676	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
677	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
678	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
679	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
680	C₂²⋊D₅₃	—	2	8	no	—
681	C₂²⋊D₅₃	—	2	16	no	—
682	C₂²⋊D₅₃	—	4	4	no	—
683	C₂²⋊D₅₃	—	4	8	no	—
684	C₂²⋊D₅₃	—	4	4	no	—
685	C₂²⋊D₅₃	—	4	4	no	—
686	C₂²⋊D₅₃	—	4	4	no	—
687	C₂²⋊D₅₃	—	4	8	no	—
688	C₂×Dic₅₃	—	4	1	no	—
689	C₂×Dic₅₃	—	4	1	no	—
690	C₂×Dic₅₃	—	4	4	no	—
691	C₂×Dic₅₃	—	4	1	no	—
692	C₂×Dic₅₃	—	4	1	no	—
693	C₂×Dic₅₃	—	4	4	no	—
694	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
695	C₂×Dic₅₃	C₂⁵	1	4	yes	—
696	C₂×Dic₅₃	C₂⁵	1	2	yes	—
697	C₂×Dic₅₃	C₂⁵	1	4	yes	—
698	C₂×Dic₅₃	C₂⁵	1	4	yes	—
699	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
700	C₂×Dic₅₃	C₂⁵	1	2	yes	—
701	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
702	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
703	D₂₁₂	—	2	8	no	—
704	D₂₁₂	—	2	8	no	—
705	D₂₁₂	—	2	16	no	—
706	D₂₁₂	—	2	8	no	—
707	D₂₁₂	—	2	4	no	—
708	D₂₁₂	—	4	8	no	—
709	D₂₁₂	—	4	4	no	—
710	D₂₁₂	—	4	8	no	—
711	D₂₁₂	C₂×#41	1	16	yes	—
712	C₄×D₅₃	—	2	16	no	—
713	C₄×D₅₃	—	2	8	no	—
714	C₄×D₅₃	—	4	4	no	—
715	C₄×D₅₃	—	4	8	no	—
716	C₄×D₅₃	—	4	8	no	—
717	C₄×D₅₃	—	4	8	no	—
718	C₄×D₅₃	—	4	8	no	—
719	C₄×D₅₃	—	4	4	no	—
720	C₄×D₅₃	—	4	4	no	—
721	C₄×D₅₃	—	4	4	no	—
722	C₄×D₅₃	—	4	4	no	—
723	C₄×D₅₃	—	4	8	no	—
724	C₄×D₅₃	—	4	4	no	—
725	Dic₁₀₆	—	2	4	no	—
726	Dic₁₀₆	—	4	4	no	—
727	Dic₁₀₆	—	4	4	no	—
728	Dic₁₀₆	—	4	4	no	—
729	#62846	—	53	1	no	maximal, Sylow
730	C₂²×C₅₃	—	2	1	no	—
731	C₂²×C₅₃	—	2	1	no	—
732	C₂²×C₅₃	—	2	4	no	—
733	C₂²×C₅₃	—	2	2	no	—
734	C₂²×C₅₃	—	2	4	no	—
735	C₂²×C₅₃	—	2	4	no	—
736	C₂²×C₅₃	—	2	2	no	—
737	C₂²×C₅₃	—	2	2	no	—
738	C₂²×C₅₃	—	4	4	no	—
739	C₂²×C₅₃	C₂²×#41	1	2	yes	—
740	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
741	C₂×D₅₃	—	2	4	no	—
742	C₂×D₅₃	—	2	4	no	—
743	C₂×D₅₃	—	2	4	no	—
744	C₂×D₅₃	—	2	4	no	—
745	C₂×D₅₃	—	2	4	no	—
746	C₂×D₅₃	—	2	4	no	—
747	C₂×D₅₃	—	2	4	no	—
748	C₂×D₅₃	—	2	4	no	—
749	C₂×D₅₃	—	4	8	no	—
750	C₂×D₅₃	—	4	8	no	—
751	C₂×D₅₃	—	8	16	no	—
752	C₂×D₅₃	—	8	16	no	—
753	C₂×D₅₃	C₂²×#41	1	8	yes	—
754	C₄×C₅₃	—	2	4	no	—
755	C₄×C₅₃	—	2	1	no	—
756	C₄×C₅₃	—	2	1	no	—
757	C₄×C₅₃	—	2	4	no	—
758	C₄×C₅₃	—	2	4	no	—
759	C₄×C₅₃	—	2	4	no	—
760	C₄×C₅₃	—	2	4	no	—
761	C₄×C₅₃	C₂²×#41	1	4	yes	—
762	Dic₅₃	—	2	4	no	—
763	Dic₅₃	—	2	1	no	—
764	Dic₅₃	—	2	4	no	—
765	Dic₅₃	—	2	2	no	—
766	Dic₅₃	—	2	4	no	—
767	Dic₅₃	—	2	1	no	—
768	Dic₅₃	—	2	2	no	—
769	Dic₅₃	—	2	1	no	—
770	Dic₅₃	—	2	1	no	—
771	#3521	—	53	4	no	—
772	#3521	—	53	4	no	—
773	#3519	—	53	4	no	—
774	#3519	—	53	4	no	—
775	#3514	—	53	4	no	—
776	#3514	—	53	4	no	—
777	#3513	—	53	4	no	—
778	#3513	—	53	4	no	—
779	#3506	—	53	2	no	—
780	#3505	—	53	4	no	—
781	#3501	—	53	1	no	—
782	#3496	—	53	1	no	—
783	#3493	—	53	1	no	—
784	#3493	D₅₃	1	1	yes	characteristic, complemented
785	#3490	—	53	4	no	—
786	#3484	—	53	2	no	—
787	#3460	—	53	1	no	—
788	#3460	—	53	1	no	—
789	#3459	—	53	4	no	—
790	#3455	—	53	2	no	—
791	C₂×#538	—	53	4	no	—
792	C₄×H(5,𝔽₂)	—	53	2	no	—
793	C₂×#518	—	53	1	no	—
794	C₂×C₅₃	—	2	2	no	—
795	C₂×C₅₃	—	4	2	no	—
796	C₂×C₅₃	—	4	4	no	—
797	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
798	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
799	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
800	D₅₃	—	2	8	no	—
801	D₅₃	—	4	4	no	—
802	D₅₃	—	4	4	no	—
803	C₂×H(5,𝔽₂)	—	53	2	no	—
804	C₂³×D₄	—	53	1	no	—
805	#559	—	53	4	no	—
806	#559	—	53	4	no	—
807	#556	—	53	4	no	—
808	#556	—	53	4	no	—
809	#556	C₂×D₅₃	1	4	yes	complemented
810	#555	—	53	4	no	—
811	#555	—	53	4	no	—
812	#555	C₂×D₅₃	1	4	yes	complemented
813	#554	—	53	4	no	—
814	#554	—	53	4	no	—
815	#554	—	53	4	no	—
816	#553	—	53	8	no	—
817	#553	—	53	4	no	—
818	#553	—	53	4	no	—
819	#553	—	53	4	no	—
820	#553	—	53	8	no	—
821	#553	—	53	4	no	—
822	#553	—	53	4	no	—
823	#553	C₂×D₅₃	1	4	yes	complemented
824	#552	—	53	4	no	—
825	#552	—	53	4	no	—
826	#552	—	53	4	no	—
827	#552	C₂×D₅₃	1	4	yes	complemented
828	#551	—	53	8	no	—
829	#551	—	53	8	no	—
830	#551	—	53	8	no	—
831	#551	—	53	8	no	—
832	#551	—	53	8	no	—
833	#551	—	53	8	no	—
834	#550	—	53	4	no	—
835	D₄×Q₈	—	53	4	no	—
836	#548	—	53	4	no	—
837	#548	—	53	4	no	—
838	#547	—	53	4	no	—
839	#547	—	53	4	no	—
840	#546	—	53	8	no	—
841	#546	—	53	4	no	—
842	#546	—	53	8	no	—
843	#546	—	53	4	no	—
844	#546	—	53	4	no	—
845	#546	—	53	4	no	—
846	#546	—	53	8	no	—
847	#546	—	53	8	no	—
848	#546	—	53	4	no	—
849	#546	—	53	4	no	—
850	#546	—	53	4	no	—
851	#546	—	53	4	no	—
852	D₄²	—	53	4	no	—
853	D₄²	—	53	4	no	—
854	D₄²	—	53	4	no	—
855	D₄²	—	53	4	no	—
856	D₄²	—	53	4	no	—
857	#544	—	53	1	no	—
858	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
859	#543	—	53	4	no	—
860	#542	—	53	4	no	—
861	#542	—	53	2	no	—
862	#542	—	53	2	no	—
863	#542	—	53	4	no	—
864	#542	—	53	2	no	—
865	#542	—	53	2	no	—
866	#541	—	53	2	no	—
867	#541	—	53	2	no	—
868	#540	—	53	4	no	—
869	#540	—	53	2	no	—
870	#540	—	53	2	no	—
871	#540	—	53	4	no	—
872	#539	—	53	8	no	—
873	#539	—	53	8	no	—
874	#539	—	53	4	no	—
875	#539	—	53	4	no	—
876	#538	—	53	8	no	—
877	#538	—	53	8	no	—
878	#538	—	53	8	no	—
879	#538	—	53	8	no	—
880	#538	—	53	8	no	—
881	#538	—	53	4	no	—
882	#538	—	53	4	no	—
883	#538	—	53	8	no	—
884	#538	—	53	4	no	—
885	#538	—	53	4	no	—
886	#538	—	53	8	no	—
887	#538	—	53	4	no	—
888	#538	C₂×D₅₃	1	4	yes	complemented
889	#537	—	53	1	no	—
890	#537	C₂×D₅₃	1	1	yes	characteristic, complemented
891	#535	—	53	2	no	—
892	#535	—	53	2	no	—
893	#534	—	53	8	no	—
894	#534	—	53	4	no	—
895	#533	—	53	2	no	—
896	#532	—	53	2	no	—
897	#532	—	53	4	no	—
898	#532	—	53	4	no	—
899	#529	—	53	4	no	—
900	#529	—	53	4	no	—
901	#529	—	53	8	no	—
902	#529	—	53	4	no	—
903	#529	—	53	4	no	—
904	#529	—	53	4	no	—
905	#529	—	53	4	no	—
906	#529	—	53	8	no	—
907	#529	—	53	4	no	—
908	#529	C₂×D₅₃	1	4	yes	complemented
909	C₂×#126	—	53	8	no	—
910	C₂×#124	—	53	8	no	—
911	#525	—	53	2	no	—
912	#525	—	53	4	no	—
913	#525	—	53	4	no	—
914	#525	—	53	8	no	—
915	#525	—	53	8	no	—
916	#525	—	53	8	no	—
917	#525	C₂×D₅₃	1	2	yes	complemented
918	C₂×#123	—	53	8	no	—
919	C₂×C₂²⋊Q₈	—	53	4	no	—
920	C₂×#121	—	53	4	no	—
921	C₂×#121	—	53	8	no	—
922	C₂×#120	—	53	8	no	—
923	#520	—	53	4	no	—
924	#520	—	53	2	no	—
925	#520	—	53	4	no	—
926	#520	C₂×D₅₃	1	2	yes	complemented
927	#518	—	53	8	no	—
928	#518	—	53	4	no	—
929	#518	—	53	2	no	—
930	#518	—	53	4	no	—
931	#518	—	53	4	no	—
932	#518	—	53	4	no	—
933	#518	—	53	4	no	—
934	#518	—	53	4	no	—
935	C₄×#41	—	53	2	no	—
936	C₄×#41	—	53	4	no	—
937	C₄×#41	—	53	2	no	—
938	C₄×#41	—	53	4	no	—
939	C₂×C₄×D₄	—	53	8	no	—
940	C₂×C₄×D₄	—	53	4	no	—
941	C₂×C₄×D₄	—	53	1	no	—
942	C₂×C₄×D₄	—	53	1	no	—
943	C₂×C₄×D₄	—	53	1	no	—
944	C₂×C₄×D₄	—	53	1	no	—
945	C₂×C₄×D₄	—	53	4	no	—
946	C₂×C₄×D₄	—	53	2	no	—
947	C₂×C₄×D₄	—	53	2	no	—
948	C₂×#117	—	53	1	no	—
949	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
950	C₂²×C₂²⋊C₄	—	53	2	no	—
951	C₂²×C₂²⋊C₄	—	53	2	no	—
952	C₅₃	#62846	1	1	yes	characteristic, complemented, Sylow
953	C₂⁵	—	53	2	no	—
954	H(5,𝔽₂)	—	106	16	no	—
955	C₂×#41	—	53	4	no	—
956	C₂×#41	—	53	4	no	—
957	C₂×#41	—	53	4	no	—
958	C₂×#41	—	53	2	no	—
959	C₂×#41	—	53	4	no	—
960	C₂×#41	—	53	8	no	—
961	C₂×#41	C₂²×D₅₃	1	2	yes	—
962	C₂²×Q₈	—	53	4	no	—
963	C₂²×D₄	—	53	8	no	—
964	C₂²×D₄	—	53	4	no	—
965	C₂²×D₄	—	53	8	no	—
966	C₂²×D₄	—	53	8	no	—
967	C₂²×D₄	—	53	4	no	—
968	C₂²×D₄	—	53	1	no	—
969	C₂²×D₄	—	53	2	no	—
970	C₂²×D₄	—	53	1	no	—
971	C₂²×D₄	—	53	4	no	—
972	C₂²×D₄	—	53	4	no	—
973	C₂²×D₄	—	53	4	no	—
974	C₂²×D₄	—	106	8	no	—
975	C₂³×C₄	—	53	2	no	—
976	C₂³×C₄	—	53	2	no	—
977	C₂³×C₄	—	53	2	no	—
978	C₂³×C₄	—	53	2	no	—
979	C₂³×C₄	—	53	8	no	—
980	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
981	C₄⋊Q₈	—	53	2	no	—
982	C₄⋊Q₈	—	53	4	no	—
983	C₄⋊Q₈	—	53	2	no	—
984	C₄⋊Q₈	—	53	2	no	—
985	C₄⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
986	#127	—	53	4	no	—
987	#127	—	53	2	no	—
988	#127	—	53	4	no	—
989	#126	—	53	8	no	—
990	#126	—	53	8	no	—
991	#126	—	53	8	no	—
992	#126	—	53	4	no	—
993	#126	—	53	4	no	—
994	#126	—	53	4	no	—
995	#126	—	53	4	no	—
996	#126	—	53	8	no	—
997	#126	—	53	4	no	—
998	#126	—	53	4	no	—
999	#126	—	53	4	no	—
1000	#126	—	53	4	no	—
1001	#126	—	53	8	no	—
1002	#126	—	53	8	no	—
1003	#126	C₂²×D₅₃	1	8	yes	—
1004	#126	C₂²×D₅₃	1	8	yes	complemented
1005	#125	—	53	4	no	—
1006	#125	—	53	4	no	—
1007	#125	—	53	4	no	—
1008	#125	—	53	4	no	—
1009	#125	—	53	4	no	—
1010	#125	—	53	2	no	—
1011	#125	—	53	2	no	—
1012	#125	—	53	4	no	—
1013	#125	C₂²×D₅₃	1	4	yes	complemented
1014	#125	C₂²×D₅₃	1	4	yes	complemented
1015	#124	—	53	8	no	—
1016	#124	—	53	4	no	—
1017	#124	—	53	2	no	—
1018	#124	—	53	4	no	—
1019	#124	—	53	4	no	—
1020	#124	—	53	2	no	—
1021	#124	—	53	4	no	—
1022	#124	—	53	8	no	—
1023	#124	—	53	8	no	—
1024	#124	—	53	8	no	—
1025	#124	—	53	4	no	—
1026	#124	—	53	8	no	—
1027	#124	—	53	4	no	—
1028	#124	—	53	4	no	—
1029	#124	C₂²×D₅₃	1	8	yes	—
1030	#124	C₂²×D₅₃	1	4	yes	complemented
1031	#123	—	53	4	no	—
1032	#123	—	53	4	no	—
1033	#123	—	53	8	no	—
1034	#123	—	53	4	no	—
1035	#123	—	53	8	no	—
1036	#123	—	53	8	no	—
1037	#123	—	53	8	no	—
1038	#123	—	53	8	no	—
1039	#123	—	53	8	no	—
1040	#123	—	53	8	no	—
1041	#123	—	53	8	no	—
1042	#123	—	53	4	no	—
1043	#123	—	53	8	no	—
1044	#123	—	53	8	no	—
1045	#123	—	53	4	no	—
1046	#123	—	53	4	no	—
1047	#123	—	53	8	no	—
1048	#123	—	53	8	no	—
1049	#123	—	53	8	no	—
1050	#123	—	53	4	no	—
1051	#123	—	53	4	no	—
1052	#123	—	53	4	no	—
1053	#123	C₂²×D₅₃	1	8	yes	—
1054	#123	C₂²×D₅₃	1	4	yes	—
1055	C₂²⋊Q₈	—	53	4	no	—
1056	C₂²⋊Q₈	—	53	4	no	—
1057	C₂²⋊Q₈	—	53	8	no	—
1058	C₂²⋊Q₈	—	53	4	no	—
1059	C₂²⋊Q₈	—	53	2	no	—
1060	C₂²⋊Q₈	—	53	2	no	—
1061	C₂²⋊Q₈	—	53	4	no	—
1062	C₂²⋊Q₈	—	53	8	no	—
1063	C₂²⋊Q₈	—	53	4	no	—
1064	C₂²⋊Q₈	—	53	8	no	—
1065	C₂²⋊Q₈	—	53	8	no	—
1066	C₂²⋊Q₈	—	53	8	no	—
1067	C₂²⋊Q₈	—	53	4	no	—
1068	C₂²⋊Q₈	—	53	4	no	—
1069	C₂²⋊Q₈	—	53	8	no	—
1070	C₂²⋊Q₈	—	53	4	no	—
1071	C₂²⋊Q₈	—	53	4	no	—
1072	C₂²⋊Q₈	—	53	4	no	—
1073	C₂²⋊Q₈	—	53	4	no	—
1074	C₂²⋊Q₈	—	53	4	no	—
1075	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1076	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1077	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1078	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1079	#121	—	53	4	no	—
1080	#121	—	53	4	no	—
1081	#121	—	53	4	no	—
1082	#121	—	53	8	no	—
1083	#121	—	53	4	no	—
1084	#121	—	53	4	no	—
1085	#121	—	53	4	no	—
1086	#121	—	53	4	no	—
1087	#121	—	53	4	no	—
1088	#121	—	53	4	no	—
1089	#121	—	53	8	no	—
1090	#121	—	53	2	no	—
1091	#121	—	53	2	no	—
1092	#121	—	53	4	no	—
1093	#121	—	53	4	no	—
1094	#121	—	53	8	no	—
1095	#121	—	53	4	no	—
1096	#121	—	53	8	no	—
1097	#121	—	53	4	no	—
1098	#121	—	53	8	no	—
1099	#121	—	53	4	no	—
1100	#121	—	53	4	no	—
1101	#121	—	53	4	no	—
1102	#121	—	53	8	no	—
1103	#121	—	53	8	no	—
1104	#121	—	53	8	no	—
1105	#121	—	53	8	no	—
1106	#121	—	53	8	no	—
1107	#121	—	53	8	no	—
1108	#121	C₂²×D₅₃	1	4	yes	—
1109	#121	C₂²×D₅₃	1	8	yes	—
1110	#121	C₂²×D₅₃	1	2	yes	—
1111	#121	C₂²×D₅₃	1	2	yes	—
1112	#121	C₂²×D₅₃	1	4	yes	complemented
1113	#120	—	53	4	no	—
1114	#120	—	53	8	no	—
1115	#120	—	53	8	no	—
1116	#120	—	53	8	no	—
1117	#120	—	53	8	no	—
1118	#120	—	53	8	no	—
1119	#120	—	53	8	no	—
1120	#120	—	53	8	no	—
1121	#120	—	53	8	no	—
1122	#120	—	53	8	no	—
1123	#120	—	53	8	no	—
1124	#120	C₂²×D₅₃	1	4	yes	—
1125	C₄×Q₈	—	53	2	no	—
1126	C₄×Q₈	—	53	2	no	—
1127	C₄×Q₈	—	53	2	no	—
1128	C₄×Q₈	—	53	2	no	—
1129	C₄×Q₈	—	53	4	no	—
1130	C₄×Q₈	—	53	4	no	—
1131	C₄×Q₈	—	53	4	no	—
1132	C₄×Q₈	—	53	4	no	—
1133	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1134	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1135	C₄×D₄	—	53	4	no	—
1136	C₄×D₄	—	53	2	no	—
1137	C₄×D₄	—	53	4	no	—
1138	C₄×D₄	—	53	2	no	—
1139	C₄×D₄	—	53	8	no	—
1140	C₄×D₄	—	53	8	no	—
1141	C₄×D₄	—	53	8	no	—
1142	C₄×D₄	—	53	8	no	—
1143	C₄×D₄	—	53	4	no	—
1144	C₄×D₄	—	53	4	no	—
1145	C₄×D₄	—	53	4	no	—
1146	C₄×D₄	—	53	4	no	—
1147	C₄×D₄	—	53	4	no	—
1148	C₄×D₄	—	53	4	no	—
1149	C₄×D₄	—	53	8	no	—
1150	C₄×D₄	—	53	2	no	—
1151	C₄×D₄	—	53	4	no	—
1152	C₄×D₄	—	53	4	no	—
1153	C₄×D₄	—	53	4	no	—
1154	C₄×D₄	—	53	4	no	—
1155	C₄×D₄	—	53	4	no	—
1156	C₄×D₄	—	53	4	no	—
1157	C₄×D₄	—	53	4	no	—
1158	C₄×D₄	—	53	8	no	—
1159	C₄×D₄	—	53	4	no	—
1160	C₄×D₄	—	53	2	no	—
1161	C₄×D₄	—	53	4	no	—
1162	C₄×D₄	—	53	8	no	—
1163	C₄×D₄	—	53	4	no	—
1164	C₄×D₄	—	53	8	no	—
1165	C₄×D₄	—	53	4	no	—
1166	C₄×D₄	—	53	8	no	—
1167	C₄×D₄	—	53	8	no	—
1168	C₄×D₄	—	53	8	no	—
1169	C₄×D₄	—	53	8	no	—
1170	C₄×D₄	—	53	4	no	—
1171	C₄×D₄	—	53	4	no	—
1172	C₄×D₄	—	53	4	no	—
1173	C₄×D₄	—	53	4	no	—
1174	C₄×D₄	—	53	8	no	—
1175	C₄×D₄	—	53	4	no	—
1176	C₄×D₄	—	53	4	no	—
1177	C₄×D₄	—	53	8	no	—
1178	C₄×D₄	—	53	8	no	—
1179	C₄×D₄	—	53	4	no	—
1180	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1181	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1182	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1183	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1184	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1185	#117	—	53	2	no	—
1186	#117	—	53	2	no	—
1187	#117	—	53	2	no	—
1188	#117	—	53	2	no	—
1189	#117	—	53	2	no	—
1190	#117	—	53	4	no	—
1191	#117	—	53	8	no	—
1192	#117	—	53	4	no	—
1193	#117	—	53	4	no	—
1194	#117	—	53	4	no	—
1195	#117	—	53	4	no	—
1196	#117	—	53	8	no	—
1197	#117	—	53	8	no	—
1198	#117	—	53	8	no	—
1199	#117	C₂²×D₅₃	1	4	yes	—
1200	#117	C₂²×D₅₃	1	4	yes	—
1201	#117	C₂²×D₅₃	1	2	yes	—
1202	#117	C₂²×D₅₃	1	4	yes	complemented
1203	#117	C₂²×D₅₃	1	8	yes	complemented
1204	C₂×C₄⋊C₄	—	53	1	no	—
1205	C₂×C₄⋊C₄	—	53	1	no	—
1206	C₂×C₄⋊C₄	—	53	8	no	—
1207	C₂×C₄⋊C₄	—	53	4	no	—
1208	C₂×C₄⋊C₄	—	53	8	no	—
1209	C₂×C₄⋊C₄	—	53	4	no	—
1210	C₂×C₄⋊C₄	—	53	4	no	—
1211	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1212	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1214	C₂×C₂²⋊C₄	—	53	1	no	—
1215	C₂×C₂²⋊C₄	—	53	1	no	—
1216	C₂×C₂²⋊C₄	—	53	2	no	—
1217	C₂×C₂²⋊C₄	—	53	2	no	—
1218	C₂×C₂²⋊C₄	—	53	2	no	—
1219	C₂×C₂²⋊C₄	—	53	2	no	—
1220	C₂×C₂²⋊C₄	—	53	8	no	—
1221	C₂×C₂²⋊C₄	—	53	8	no	—
1222	C₂×C₂²⋊C₄	—	53	8	no	—
1223	C₂×C₂²⋊C₄	—	53	8	no	—
1224	C₂×C₂²⋊C₄	—	53	8	no	—
1225	C₂×C₂²⋊C₄	—	53	8	no	—
1226	C₂×C₂²⋊C₄	—	53	8	no	—
1227	C₂×C₂²⋊C₄	—	53	8	no	—
1228	C₂×C₂²⋊C₄	—	53	8	no	—
1229	C₂×C₂²⋊C₄	—	53	8	no	—
1230	C₂×C₂²⋊C₄	—	53	8	no	—
1231	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1232	C₂×C₄²	—	53	1	no	—
1233	C₂×C₄²	—	53	1	no	—
1234	C₂×C₄²	—	53	4	no	—
1235	C₂×C₄²	—	53	8	no	—
1236	C₂×C₄²	—	53	4	no	—
1237	C₂×C₄²	C₂²×D₅₃	1	2	yes	—
1238	C₂⁴	—	53	2	no	—
1239	C₂⁴	—	53	8	no	—
1240	C₂⁴	—	53	8	no	—
1241	C₂⁴	—	53	2	no	—
1242	C₂⁴	—	106	8	no	—
1243	C₂⁴	—	424	2	no	—
1244	C₂⁴	—	424	2	no	—
1245	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1246	#41	—	2	8	no	—
1247	#41	—	106	16	no	—
1248	#41	—	106	16	no	—
1249	#41	—	106	8	no	—
1250	#41	—	424	8	no	—
1251	#41	—	424	4	no	—
1252	#41	—	424	4	no	—
1253	C₂×Q₈	—	53	2	no	—
1254	C₂×Q₈	—	53	4	no	—
1255	C₂×Q₈	—	53	4	no	—
1256	C₂×Q₈	—	53	4	no	—
1257	C₂×Q₈	—	424	4	no	—
1258	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1259	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1260	C₂×D₄	—	53	8	no	—
1261	C₂×D₄	—	53	4	no	—
1262	C₂×D₄	—	53	4	no	—
1263	C₂×D₄	—	53	4	no	—
1264	C₂×D₄	—	53	8	no	—
1265	C₂×D₄	—	53	4	no	—
1266	C₂×D₄	—	53	8	no	—
1267	C₂×D₄	—	53	4	no	—
1268	C₂×D₄	—	53	8	no	—
1269	C₂×D₄	—	53	4	no	—
1270	C₂×D₄	—	53	8	no	—
1271	C₂×D₄	—	53	4	no	—
1272	C₂×D₄	—	53	4	no	—
1273	C₂×D₄	—	53	4	no	—
1274	C₂×D₄	—	53	2	no	—
1275	C₂×D₄	—	53	8	no	—
1276	C₂×D₄	—	53	8	no	—
1277	C₂×D₄	—	53	4	no	—
1278	C₂×D₄	—	106	16	no	—
1279	C₂×D₄	—	106	16	no	—
1280	C₂×D₄	—	106	16	no	—
1281	C₂×D₄	—	106	8	no	—
1282	C₂×D₄	—	106	16	no	—
1283	C₂×D₄	—	106	32	no	—
1284	C₂×D₄	—	106	4	no	—
1285	C₂×D₄	—	424	8	no	—
1286	C₂×D₄	—	424	4	no	—
1287	C₂×D₄	—	424	8	no	—
1288	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1289	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1290	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1291	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1292	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1293	C₂²×C₄	—	2	4	no	—
1294	C₂²×C₄	—	53	1	no	—
1295	C₂²×C₄	—	53	1	no	—
1296	C₂²×C₄	—	53	1	no	—
1297	C₂²×C₄	—	53	1	no	—
1298	C₂²×C₄	—	53	4	no	—
1299	C₂²×C₄	—	53	4	no	—
1300	C₂²×C₄	—	53	8	no	—
1301	C₂²×C₄	—	53	4	no	—
1302	C₂²×C₄	—	53	8	no	—
1303	C₂²×C₄	—	53	8	no	—
1304	C₂²×C₄	—	53	4	no	—
1305	C₂²×C₄	—	53	4	no	—
1306	C₂²×C₄	—	53	4	no	—
1307	C₂²×C₄	—	53	8	no	—
1308	C₂²×C₄	—	53	4	no	—
1309	C₂²×C₄	—	53	4	no	—
1310	C₂²×C₄	—	53	4	no	—
1311	C₂²×C₄	—	53	8	no	—
1312	C₂²×C₄	—	53	8	no	—
1313	C₂²×C₄	—	424	2	no	—
1314	C₂²×C₄	—	424	2	no	—
1315	C₂²×C₄	—	424	2	no	—
1316	C₂²×C₄	—	424	2	no	—
1317	C₂²×C₄	—	424	8	no	—
1318	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1319	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1320	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1321	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1322	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1323	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1324	C₂²×C₄	C₂³×D₅₃	1	8	yes	—
1325	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1326	C₄⋊C₄	—	53	2	no	—
1327	C₄⋊C₄	—	53	4	no	—
1328	C₄⋊C₄	—	53	8	no	—
1329	C₄⋊C₄	—	53	4	no	—
1330	C₄⋊C₄	—	53	4	no	—
1331	C₄⋊C₄	—	53	4	no	—
1332	C₄⋊C₄	—	53	4	no	—
1333	C₄⋊C₄	—	53	4	no	—
1334	C₄⋊C₄	—	53	1	no	—
1335	C₄⋊C₄	—	53	1	no	—
1336	C₄⋊C₄	—	53	2	no	—
1337	C₄⋊C₄	—	53	2	no	—
1338	C₄⋊C₄	—	53	1	no	—
1339	C₄⋊C₄	—	53	1	no	—
1340	C₄⋊C₄	—	53	8	no	—
1341	C₄⋊C₄	—	53	4	no	—
1342	C₄⋊C₄	—	53	4	no	—
1343	C₄⋊C₄	—	53	2	no	—
1344	C₄⋊C₄	—	53	4	no	—
1345	C₄⋊C₄	—	53	4	no	—
1346	C₄⋊C₄	—	53	4	no	—
1347	C₄⋊C₄	—	53	4	no	—
1348	C₄⋊C₄	—	53	4	no	—
1349	C₄⋊C₄	—	53	4	no	—
1350	C₄⋊C₄	—	53	4	no	—
1351	C₄⋊C₄	—	53	4	no	—
1352	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1353	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1354	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1355	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1356	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1357	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1358	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1359	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1360	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1361	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1362	C₂²⋊C₄	—	53	2	no	—
1363	C₂²⋊C₄	—	53	2	no	—
1364	C₂²⋊C₄	—	53	2	no	—
1365	C₂²⋊C₄	—	53	2	no	—
1366	C₂²⋊C₄	—	53	4	no	—
1367	C₂²⋊C₄	—	53	4	no	—
1368	C₂²⋊C₄	—	53	4	no	—
1369	C₂²⋊C₄	—	53	4	no	—
1370	C₂²⋊C₄	—	53	4	no	—
1371	C₂²⋊C₄	—	53	4	no	—
1372	C₂²⋊C₄	—	53	4	no	—
1373	C₂²⋊C₄	—	53	4	no	—
1374	C₂²⋊C₄	—	53	4	no	—
1375	C₂²⋊C₄	—	53	8	no	—
1376	C₂²⋊C₄	—	53	4	no	—
1377	C₂²⋊C₄	—	53	8	no	—
1378	C₂²⋊C₄	—	53	4	no	—
1379	C₂²⋊C₄	—	53	8	no	—
1380	C₂²⋊C₄	—	53	8	no	—
1381	C₂²⋊C₄	—	53	4	no	—
1382	C₂²⋊C₄	—	53	4	no	—
1383	C₂²⋊C₄	—	53	8	no	—
1384	C₂²⋊C₄	—	53	4	no	—
1385	C₂²⋊C₄	—	53	8	no	—
1386	C₂²⋊C₄	—	53	8	no	—
1387	C₂²⋊C₄	—	53	8	no	—
1388	C₂²⋊C₄	—	53	8	no	—
1389	C₂²⋊C₄	—	53	8	no	—
1390	C₂²⋊C₄	—	53	4	no	—
1391	C₂²⋊C₄	—	53	4	no	—
1392	C₂²⋊C₄	—	53	4	no	—
1393	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1394	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1395	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1396	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1397	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1398	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1399	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1400	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1401	C₄²	—	53	2	no	—
1402	C₄²	—	53	2	no	—
1403	C₄²	—	53	4	no	—
1404	C₄²	—	53	4	no	—
1405	C₄²	—	53	4	no	—
1406	C₄²	—	53	4	no	—
1407	C₄²	—	53	8	no	—
1408	C₄²	—	53	2	no	—
1409	C₄²	—	53	2	no	—
1410	C₄²	—	53	4	no	—
1411	C₄²	C₂³×D₅₃	1	8	yes	—
1412	C₄²	C₂³×D₅₃	1	4	yes	—
1413	C₄²	C₂³×D₅₃	1	4	yes	—
1414	C₄²	C₂³×D₅₃	1	4	yes	—
1415	C₂³	—	2	2	no	—
1416	C₂³	—	4	1	no	—
1417	C₂³	—	4	1	no	—
1418	C₂³	—	53	4	no	—
1419	C₂³	—	53	8	no	—
1420	C₂³	—	53	4	no	—
1421	C₂³	—	53	4	no	—
1422	C₂³	—	106	16	no	—
1423	C₂³	—	106	16	no	—
1424	C₂³	—	106	4	no	—
1425	C₂³	—	424	16	no	—
1426	C₂³	—	212	8	no	—
1427	C₂³	—	212	8	no	—
1428	C₂³	—	212	8	no	—
1429	C₂³	—	212	8	no	—
1430	C₂³	—	212	2	no	—
1431	C₂³	—	212	2	no	—
1432	C₂³	—	212	2	no	—
1433	C₂³	—	212	2	no	—
1434	C₂³	C₂⁴×D₅₃	1	2	yes	—
1435	C₂³	C₂⁴×D₅₃	1	4	yes	—
1436	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1437	Q₈	—	2	4	no	—
1438	Q₈	—	4	4	no	—
1439	Q₈	—	106	4	no	—
1440	Q₈	—	212	4	no	—
1441	Q₈	—	212	4	no	—
1442	Q₈	—	212	4	no	—
1443	D₄	—	2	8	no	—
1444	D₄	—	2	4	no	—
1445	D₄	—	4	4	no	—
1446	D₄	—	4	4	no	—
1447	D₄	—	4	4	no	—
1448	D₄	—	53	16	no	—
1449	D₄	—	106	8	no	—
1450	D₄	—	106	8	no	—
1451	D₄	—	106	16	no	—
1452	D₄	—	106	16	no	—
1453	D₄	—	106	8	no	—
1454	D₄	—	106	8	no	—
1455	D₄	—	106	4	no	—
1456	D₄	—	212	8	no	—
1457	D₄	—	212	4	no	—
1458	D₄	—	212	8	no	—
1459	D₄	—	212	4	no	—
1460	D₄	—	212	4	no	—
1461	D₄	—	212	4	no	—
1462	D₄	—	212	8	no	—
1463	D₄	—	212	8	no	—
1464	D₄	—	212	4	no	—
1465	C₂×C₄	—	2	2	no	—
1466	C₂×C₄	—	2	4	no	—
1467	C₂×C₄	—	2	4	no	—
1468	C₂×C₄	—	2	8	no	—
1469	C₂×C₄	—	4	2	no	—
1470	C₂×C₄	—	4	2	no	—
1471	C₂×C₄	—	4	8	no	—
1472	C₂×C₄	—	53	1	no	—
1473	C₂×C₄	—	53	2	no	—
1474	C₂×C₄	—	53	1	no	—
1475	C₂×C₄	—	53	4	no	—
1476	C₂×C₄	—	53	4	no	—
1477	C₂×C₄	—	53	1	no	—
1478	C₂×C₄	—	53	2	no	—
1479	C₂×C₄	—	53	4	no	—
1480	C₂×C₄	—	53	1	no	—
1481	C₂×C₄	—	106	16	no	—
1482	C₂×C₄	—	106	8	no	—
1483	C₂×C₄	—	212	8	no	—
1484	C₂×C₄	—	212	4	no	—
1485	C₂×C₄	—	212	8	no	—
1486	C₂×C₄	—	212	4	no	—
1487	C₂×C₄	—	212	4	no	—
1488	C₂×C₄	—	212	8	no	—
1489	C₂×C₄	—	212	8	no	—
1490	C₂×C₄	—	212	4	no	—
1491	C₂×C₄	—	212	4	no	—
1492	C₂×C₄	—	212	8	no	—
1493	C₂×C₄	—	212	4	no	—
1494	C₂×C₄	—	212	1	no	—
1495	C₂×C₄	—	212	1	no	—
1496	C₂×C₄	—	212	4	no	—
1497	C₂×C₄	—	212	1	no	—
1498	C₂×C₄	—	212	1	no	—
1499	C₂×C₄	—	212	4	no	—
1500	C₂×C₄	#41×D₅₃	1	4	yes	—
1501	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1502	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1503	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1504	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1505	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1506	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1507	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1508	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1509	C₂²	—	2	1	no	—
1510	C₂²	—	2	1	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	4	no	—
1513	C₂²	—	2	4	no	—
1514	C₂²	—	2	4	no	—
1515	C₂²	—	2	2	no	—
1516	C₂²	—	2	2	no	—
1517	C₂²	—	4	4	no	—
1518	C₂²	—	53	8	no	—
1519	C₂²	—	106	4	no	—
1520	C₂²	—	106	4	no	—
1521	C₂²	—	106	4	no	—
1522	C₂²	—	106	4	no	—
1523	C₂²	—	106	4	no	—
1524	C₂²	—	106	4	no	—
1525	C₂²	—	106	4	no	—
1526	C₂²	—	106	4	no	—
1527	C₂²	—	424	16	no	—
1528	C₂²	—	424	16	no	—
1529	C₂²	—	212	8	no	—
1530	C₂²	—	212	8	no	—
1531	C₂²	C₂×#41×D₅₃	1	2	yes	—
1532	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1533	C₄	—	2	1	no	—
1534	C₄	—	2	1	no	—
1535	C₄	—	2	4	no	—
1536	C₄	—	2	4	no	—
1537	C₄	—	2	4	no	—
1538	C₄	—	2	4	no	—
1539	C₄	—	2	4	no	—
1540	C₄	—	106	4	no	—
1541	C₄	—	106	2	no	—
1542	C₄	—	106	1	no	—
1543	C₄	—	106	1	no	—
1544	C₄	—	106	1	no	—
1545	C₄	—	106	4	no	—
1546	C₄	—	106	2	no	—
1547	C₄	—	106	1	no	—
1548	C₄	—	106	4	no	—
1549	C₄	C₂×#41×D₅₃	1	4	yes	—
1550	C₂	—	2	2	no	—
1551	C₂	—	4	2	no	—
1552	C₂	—	4	4	no	—
1553	C₂	—	106	8	no	—
1554	C₂	—	212	4	no	—
1555	C₂	—	212	4	no	—
1556	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1557	C₂	#20289526	1	1	yes	characteristic
1558	C₂	#20289526	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3493	C₂
hypercenter	#3493	D₅₃
hypocenter	C₅₃	#62846
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3493

Complements

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

N	H ≅ G/N	type
1. #20288790	C₂	semidirect
2. #20288788	C₂	semidirect
3. #20288750	C₂	semidirect
4. #20288743	C₂	semidirect
5. #20288679	C₂	semidirect
6. #20288672	C₂	semidirect
7. #20288662	C₂	semidirect
8. #20288660	C₂	semidirect
9. #20288560	C₂	semidirect
10. #20288550	C₂	semidirect
11. #20288517	C₂	semidirect
12. #20288478	C₂	semidirect
13. #20288435	C₂	semidirect
14. #20288401	C₂	semidirect
15. #20288348	C₂	semidirect
16. #20288138	C₂	semidirect
17. #20288132	C₂	semidirect
18. #20288125	C₂	semidirect
19. #20288103	C₂	semidirect
20. #538×D₅₃	C₂	semidirect
21. #20287921	C₂	semidirect
22. C₂×#16811097	C₂	semidirect
23. C₅₃×#3493	C₂	semidirect
26. #16811358	C₂²	semidirect
27. #16811356	C₂²	semidirect
28. #16811345	C₂²	semidirect
29. #16811341	C₂²	semidirect
30. #16811336	C₂²	semidirect
31. #16811336	C₂²	semidirect
32. #16811334	C₂²	semidirect
33. #16811329	C₂²	semidirect
34. #16811329	C₂²	semidirect
35. #16811326	C₂²	semidirect
36. #16811324	C₂²	semidirect
37. #16811323	C₂²	semidirect
38. #16811321	C₂²	semidirect
39. #16811317	C₂²	semidirect
40. #16811317	C₂²	semidirect
41. #16811317	C₂²	semidirect
42. #16811314	C₂²	semidirect
43. #16811312	C₂²	semidirect
44. #16811311	C₂²	semidirect
45. #16811303	C₂²	semidirect
46. #16811301	C₂²	semidirect
47. #16811298	C₂²	semidirect
48. #16811298	C₂²	semidirect
49. #16811298	C₂²	semidirect
50. #16811297	C₂²	semidirect
51. #16811294	C₂²	semidirect
52. #16811288	C₂²	semidirect
53. #16811285	C₂²	semidirect
54. #16811281	C₂²	semidirect
55. #16811275	C₂²	semidirect
56. #16811274	C₂²	semidirect
57. #16811270	C₂²	semidirect
58. #16811270	C₂²	semidirect
59. #16811269	C₂²	semidirect
60. #16811269	C₂²	semidirect
61. #16811268	C₂²	semidirect
62. #16811266	C₂²	semidirect
63. #16811266	C₂²	semidirect
64. #16811265	C₂²	semidirect
65. #16811264	C₂²	semidirect
66. #16811264	C₂²	semidirect
67. #16811264	C₂²	semidirect
68. #16811262	C₂²	semidirect
69. D₄×D₂₁₂	C₂²	semidirect
70. D₄×D₂₁₂	C₂²	semidirect
71. #16811257	C₂²	semidirect
72. #16811257	C₂²	semidirect
73. #16811257	C₂²	semidirect
74. #16811254	C₂²	semidirect
75. #16811248	C₂²	semidirect
76. #16811247	C₂²	semidirect
77. #16811246	C₂²	semidirect
78. #16811246	C₂²	semidirect
79. #16811246	C₂²	semidirect
80. #16811240	C₂²	semidirect
81. #16811240	C₂²	semidirect
82. #16811233	C₂²	semidirect
83. #16811233	C₂²	semidirect
84. #16811229	C₂²	semidirect
85. #16811226	C₂²	semidirect
86. #16811226	C₂²	semidirect
87. #16811226	C₂²	semidirect
88. #16811221	C₂²	semidirect
89. #16811217	C₂²	semidirect
90. #16811217	C₂²	semidirect
91. #16811214	C₂²	semidirect
92. #16811213	C₂²	semidirect
93. #16811212	C₂²	semidirect
94. #16811212	C₂²	semidirect
95. #16811211	C₂²	semidirect
96. #16811210	C₂²	semidirect
97. #16811209	C₂²	semidirect
98. #16811208	C₂²	semidirect
99. #16811208	C₂²	semidirect
100. #16811207	C₂²	semidirect
101. #16811207	C₂²	semidirect
102. #16811206	C₂²	semidirect
103. #16811205	C₂²	semidirect
104. #16811204	C₂²	semidirect
105. #16811192	C₂²	semidirect
106. #16811187	C₂²	semidirect
107. #16811184	C₂²	semidirect
108. #16811181	C₂²	semidirect
109. #16811176	C₂²	semidirect
110. #16811174	C₂²	semidirect
111. #16811169	C₂²	semidirect
112. #16811168	C₂²	semidirect
113. #16811160	C₂²	semidirect
114. #16811159	C₂²	semidirect
115. #16811158	C₂²	semidirect
116. #16811157	C₂²	semidirect
117. #16811155	C₂²	semidirect
118. #16811155	C₂²	semidirect
119. #16811153	C₂²	semidirect
120. #16811153	C₂²	semidirect
121. #16811151	C₂²	semidirect
122. #126×D₅₃	C₂²	semidirect
123. #124×D₅₃	C₂²	semidirect
124. #16811136	C₂²	semidirect
125. #16811135	C₂²	semidirect
126. #16811134	C₂²	semidirect
127. #16811133	C₂²	semidirect
128. #16811132	C₂²	semidirect
129. #16811132	C₂²	semidirect
130. #123×D₅₃	C₂²	semidirect
131. C₂²⋊Q₈×D₅₃	C₂²	semidirect
132. #121×D₅₃	C₂²	semidirect
133. #121×D₅₃	C₂²	semidirect
134. #120×D₅₃	C₂²	semidirect
135. #16811105	C₂²	semidirect
136. #16811104	C₂²	semidirect
137. #16811104	C₂²	semidirect
139. #16811097	C₂²	semidirect
140. #16811097	C₂²	semidirect
141. #16811097	C₂²	semidirect
142. #16811097	C₂²	semidirect
143. #16811097	C₂²	semidirect
144. #16811095	C₂²	semidirect
145. #16811095	C₂²	semidirect
146. #41×Dic₅₃	C₂²	semidirect
147. C₄×#11719949	C₂²	semidirect
148. #16811091	C₂²	semidirect
149. #16811091	C₂²	semidirect
150. C₂×C₄×D₂₁₂	C₂²	semidirect
151. C₂×C₄×D₂₁₂	C₂²	semidirect
154. C₂×#13133179	C₂²	semidirect
155. C₂×#13133179	C₂²	semidirect
156. C₂×#13133179	C₂²	semidirect
157. C₄×D₄×D₅₃	C₂²	semidirect
158. C₄×D₄×D₅₃	C₂²	semidirect
159. C₂×#13133176	C₂²	semidirect
160. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
161. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
162. C₅₃×#556	C₂²	semidirect
163. C₅₃×#555	C₂²	semidirect
164. C₅₃×#553	C₂²	semidirect
165. C₅₃×#552	C₂²	semidirect
166. C₅₃×#544	C₂²	semidirect
167. C₅₃×#538	C₂²	semidirect
168. C₅₃×#537	C₂²	semidirect
169. C₅₃×#529	C₂²	semidirect
170. C₅₃×#525	C₂²	semidirect
171. C₅₃×#520	C₂²	semidirect
172. C₂×#117×C₅₃	C₂²	semidirect
176. C₂×#11719949	C₂³	semidirect
179. C₂×#11719945	C₂³	semidirect
180. C₂×#11719947	C₂³	semidirect
181. C₂×Q₈×D₅₃	C₂³	semidirect
193. C₂×D₄×D₅₃	C₂³	semidirect
198. C₂²×C₄×D₅₃	C₂³	semidirect
199. #13133216	C₂³	semidirect
200. #13133216	C₂³	semidirect
201. #13133216	C₂³	semidirect
202. #13133215	C₂³	semidirect
205. #13133213	C₂³	semidirect
206. #13133212	C₂³	semidirect
207. #13133212	C₂³	semidirect
208. #13133212	C₂³	semidirect
209. #13133212	C₂³	semidirect
210. #13133212	C₂³	semidirect
211. #13133211	C₂³	semidirect
212. #13133211	C₂³	semidirect
218. #13133210	C₂³	semidirect
219. #13133210	C₂³	semidirect
220. #13133209	C₂³	semidirect
221. #13133208	C₂³	semidirect
222. #13133208	C₂³	semidirect
223. #13133208	C₂³	semidirect
224. #13133208	C₂³	semidirect
225. #13133208	C₂³	semidirect
226. #13133207	C₂³	semidirect
227. #13133207	C₂³	semidirect
229. #13133206	C₂³	semidirect
230. #13133206	C₂³	semidirect
232. #13133205	C₂³	semidirect
233. #13133205	C₂³	semidirect
236. #13133204	C₂³	semidirect
240. #13133203	C₂³	semidirect
241. #13133203	C₂³	semidirect
244. #13133202	C₂³	semidirect
245. #13133202	C₂³	semidirect
246. #13133202	C₂³	semidirect
247. #13133202	C₂³	semidirect
248. #13133202	C₂³	semidirect
249. #13133201	C₂³	semidirect
250. #13133201	C₂³	semidirect
251. #13133201	C₂³	semidirect
253. #13133200	C₂³	semidirect
257. #13133199	C₂³	semidirect
258. #13133199	C₂³	semidirect
259. #13133199	C₂³	semidirect
260. #13133199	C₂³	semidirect
261. #13133199	C₂³	semidirect
264. #13133197	C₂³	semidirect
265. #13133197	C₂³	semidirect
266. #13133197	C₂³	semidirect
267. #13133197	C₂³	semidirect
268. #13133197	C₂³	semidirect
269. #13133197	C₂³	semidirect
273. #13133195	C₂³	semidirect
274. #13133195	C₂³	semidirect
275. #13133195	C₂³	semidirect
276. #13133195	C₂³	semidirect
279. #13133194	C₂³	semidirect
280. #13133194	C₂³	semidirect
281. #13133193	C₂³	semidirect
282. #13133193	C₂³	semidirect
283. #13133193	C₂³	semidirect
288. #13133192	C₂³	semidirect
289. #13133192	C₂³	semidirect
290. #13133192	C₂³	semidirect
291. #13133192	C₂³	semidirect
297. #13133191	C₂³	semidirect
301. #13133190	C₂³	semidirect
302. #13133190	C₂³	semidirect
303. #13133190	C₂³	semidirect
308. #13133189	C₂³	semidirect
311. #13133188	C₂³	semidirect
312. #13133188	C₂³	semidirect
318. #13133187	C₂³	semidirect
323. #13133185	C₂³	semidirect
324. Q₈×Dic₅₃	C₂³	semidirect
325. Q₈×Dic₅₃	C₂³	semidirect
326. C₄×Dic₁₀₆	C₂³	semidirect
327. C₄×Dic₁₀₆	C₂³	semidirect
328. C₄×Dic₁₀₆	C₂³	semidirect
329. #13133182	C₂³	semidirect
330. #13133182	C₂³	semidirect
331. #13133182	C₂³	semidirect
340. C₄×D₂₁₂	C₂³	semidirect
341. C₄×D₂₁₂	C₂³	semidirect
342. C₄×D₂₁₂	C₂³	semidirect
343. C₄×D₂₁₂	C₂³	semidirect
346. D₄×Dic₅₃	C₂³	semidirect
347. D₄×Dic₅₃	C₂³	semidirect
358. #13133179	C₂³	semidirect
359. #13133179	C₂³	semidirect
360. #13133179	C₂³	semidirect
361. #13133179	C₂³	semidirect
362. #13133179	C₂³	semidirect
363. #13133179	C₂³	semidirect
367. C₄×C₂²⋊D₅₃	C₂³	semidirect
368. C₄×C₂²⋊D₅₃	C₂³	semidirect
369. C₄×C₂²⋊D₅₃	C₂³	semidirect
370. C₄×C₂²⋊D₅₃	C₂³	semidirect
371. C₄×C₂²⋊D₅₃	C₂³	semidirect
374. #13133177	C₂³	semidirect
375. #13133177	C₂³	semidirect
376. #13133177	C₂³	semidirect
382. #13133176	C₂³	semidirect
383. #13133175	C₂³	semidirect
384. #13133175	C₂³	semidirect
385. #13133175	C₂³	semidirect
386. #13133175	C₂³	semidirect
387. #13133174	C₂³	semidirect
388. #13133174	C₂³	semidirect
389. #13133174	C₂³	semidirect
390. #13133174	C₂³	semidirect
393. C₄⋊C₄×D₅₃	C₂³	semidirect
394. C₄⋊C₄×D₅₃	C₂³	semidirect
395. C₄⋊C₄×D₅₃	C₂³	semidirect
396. C₄⋊C₄×D₅₃	C₂³	semidirect
397. C₄⋊C₄×D₅₃	C₂³	semidirect
404. C₂×#11719921	C₂³	semidirect
412. C₂²⋊C₄×D₅₃	C₂³	semidirect
413. C₂²⋊C₄×D₅₃	C₂³	semidirect
414. C₂²⋊C₄×D₅₃	C₂³	semidirect
417. C₂×C₄×Dic₅₃	C₂³	semidirect
418. C₄²×D₅₃	C₂³	semidirect
419. C₄²×D₅₃	C₂³	semidirect
422. C₄⋊Q₈×C₅₃	C₂³	semidirect
424. #126×C₅₃	C₂³	semidirect
425. #125×C₅₃	C₂³	semidirect
426. #125×C₅₃	C₂³	semidirect
428. #124×C₅₃	C₂³	semidirect
434. C₂²⋊Q₈×C₅₃	C₂³	semidirect
439. #121×C₅₃	C₂³	semidirect
441. C₄×Q₈×C₅₃	C₂³	semidirect
442. C₄×Q₈×C₅₃	C₂³	semidirect
446. C₄×D₄×C₅₃	C₂³	semidirect
447. C₄×D₄×C₅₃	C₂³	semidirect
451. #117×C₅₃	C₂³	semidirect
452. #117×C₅₃	C₂³	semidirect
455. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
514. C₂×D₂₁₂	#41	semidirect
784. #3493	D₅₃	semidirect
809. #556	C₂×D₅₃	semidirect
812. #555	C₂×D₅₃	semidirect
823. #553	C₂×D₅₃	semidirect
827. #552	C₂×D₅₃	semidirect
858. #544	C₂×D₅₃	semidirect
888. #538	C₂×D₅₃	semidirect
890. #537	C₂×D₅₃	semidirect
908. #529	C₂×D₅₃	semidirect
917. #525	C₂×D₅₃	semidirect
926. #520	C₂×D₅₃	semidirect
949. C₂×#117	C₂×D₅₃	semidirect
952. C₅₃	#62846	semidirect
985. C₄⋊Q₈	C₂²×D₅₃	semidirect
1004. #126	C₂²×D₅₃	semidirect
1013. #125	C₂²×D₅₃	semidirect
1014. #125	C₂²×D₅₃	semidirect
1030. #124	C₂²×D₅₃	semidirect
1078. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1112. #121	C₂²×D₅₃	semidirect
1133. C₄×Q₈	C₂²×D₅₃	semidirect
1134. C₄×Q₈	C₂²×D₅₃	semidirect
1183. C₄×D₄	C₂²×D₅₃	semidirect
1184. C₄×D₄	C₂²×D₅₃	semidirect
1202. #117	C₂²×D₅₃	semidirect
1203. #117	C₂²×D₅₃	semidirect
1213. 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
#20288790	2
#20288788	2
#20288750	2
#20288743	2
#20288679	2
#20288672	2
#20288662	2
#20288660	2
#20288560	2
#20288550	2
#20288517	2
#20288478	2
#20288435	2
#20288401	2
#20288348	2
#20288138	2
#20288132	2
#20288125	2
#20288103	2
#538×D₅₃	2
#20287921	2
C₂×#16811097	2
C₅₃×#3493	2
#62846	53