Subgroups — #27547017

Order 13568.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#123×D₅₃	C₂	1	1	yes	maximal, characteristic
2	#20277865	C₂	1	1	yes	maximal, characteristic, complemented
3	#20277861	C₂	1	1	yes	maximal, characteristic, complemented
4	#20277861	C₂	1	1	yes	maximal, characteristic, complemented
5	#20277858	C₂	1	1	yes	maximal, characteristic, complemented
6	#20277712	C₂	1	1	yes	maximal, characteristic, complemented
7	#20277708	C₂	1	1	yes	maximal, characteristic, complemented
8	#20277704	C₂	1	1	yes	maximal, characteristic, complemented
9	#20277700	C₂	1	1	yes	maximal, characteristic, complemented
10	#20277589	C₂	1	1	yes	maximal, characteristic, complemented
11	#20277588	C₂	1	1	yes	maximal, characteristic, complemented
12	#20277563	C₂	1	1	yes	maximal, characteristic, complemented
13	#20277563	C₂	1	1	yes	maximal, characteristic, complemented
14	#20277559	C₂	1	1	yes	maximal, characteristic, complemented
15	#20277558	C₂	1	1	yes	maximal, characteristic, complemented
16	#20277536	C₂	1	1	yes	maximal, characteristic
17	#20277533	C₂	1	1	yes	maximal, characteristic
18	#20277509	C₂	1	1	yes	maximal, characteristic, complemented
19	#20277505	C₂	1	1	yes	maximal, characteristic, complemented
20	#20277501	C₂	1	1	yes	maximal, characteristic, complemented
21	#20277388	C₂	1	1	yes	maximal, characteristic, complemented
22	#20277385	C₂	1	1	yes	maximal, characteristic, complemented
23	#20277382	C₂	1	1	yes	maximal, characteristic, complemented
24	#20277379	C₂	1	1	yes	maximal, characteristic, complemented
25	#20277330	C₂	1	1	yes	maximal, characteristic, complemented
26	#20277326	C₂	1	1	yes	maximal, characteristic, complemented
27	#20277314	C₂	1	1	yes	maximal, characteristic, complemented
28	#20277309	C₂	1	1	yes	maximal, characteristic, complemented
29	#20277096	C₂	1	1	yes	maximal, characteristic, complemented
30	#380×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
34	C₂×#13133202	C₂²	1	1	yes	characteristic
35	C₂×#13133202	C₂²	1	1	yes	characteristic
36	C₂×#13133201	C₂²	1	1	yes	characteristic
37	C₂×#13133200	C₂²	1	1	yes	characteristic
38	C₂×#13133199	C₂²	1	1	yes	characteristic
39	C₂×#13133199	C₂²	1	1	yes	characteristic
40	C₂×#13133198	C₂²	1	1	yes	characteristic
41	#123×D₅₃	C₄	1	16	yes	complemented
42	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
43	C₂×#13133179	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
45	C₂×#13133177	C₂²	1	1	yes	characteristic
46	C₂×#13133175	C₂²	1	1	yes	characteristic
47	C₂×#13133174	C₂²	1	1	yes	characteristic
48	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
49	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
54	C₂²×#11719921	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
59	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
61	#16810526	C₂²	1	1	yes	characteristic
62	#16810523	C₂²	1	1	yes	characteristic
63	#16810523	C₂²	1	1	yes	characteristic
64	#16810522	C₂²	1	1	yes	characteristic, complemented
65	#16810521	C₂²	1	1	yes	characteristic, complemented
66	#16810521	C₂²	1	1	yes	characteristic, complemented
67	#16810520	C₂²	1	1	yes	characteristic, complemented
68	#16810520	C₂²	1	1	yes	characteristic, complemented
69	#16810520	C₂²	1	1	yes	characteristic, complemented
70	#16810519	C₂²	1	1	yes	characteristic, complemented
71	#16810519	C₂²	1	1	yes	characteristic, complemented
72	#16810518	C₂²	1	1	yes	characteristic, complemented
73	#16810518	C₂²	1	1	yes	characteristic, complemented
74	#16810518	C₂²	1	1	yes	characteristic, complemented
75	#16810517	C₂²	1	1	yes	characteristic, complemented
76	#16810517	C₂²	1	1	yes	characteristic, complemented
77	#16810517	C₂²	1	1	yes	characteristic, complemented
78	#16810517	C₂²	1	1	yes	characteristic, complemented
79	#16810516	C₂²	1	1	yes	characteristic, complemented
80	#16810516	C₂²	1	1	yes	characteristic, complemented
81	#16810516	C₂²	1	1	yes	characteristic, complemented
82	#16810516	C₂²	1	1	yes	characteristic, complemented
83	#16810515	C₂²	1	1	yes	characteristic, complemented
84	#16810514	C₂²	1	1	yes	characteristic, complemented
85	#16810514	C₂²	1	1	yes	characteristic, complemented
86	#16810514	C₂²	1	1	yes	characteristic, complemented
87	#16810513	C₂²	1	1	yes	characteristic, complemented
88	#16810512	C₂²	1	1	yes	characteristic, complemented
89	#16810512	C₂²	1	1	yes	characteristic, complemented
90	#16810512	C₂²	1	1	yes	characteristic, complemented
91	#16810511	C₂²	1	1	yes	characteristic, complemented
92	#16810511	C₂²	1	1	yes	characteristic, complemented
93	#16810511	C₂²	1	1	yes	characteristic, complemented
94	#16810511	C₂²	1	1	yes	characteristic, complemented
95	#16810510	C₂²	1	1	yes	characteristic, complemented
96	#16810509	C₂²	1	1	yes	characteristic, complemented
97	#16810509	C₂²	1	1	yes	characteristic, complemented
98	#16810508	C₂²	1	1	yes	characteristic, complemented
99	#16810508	C₂²	1	1	yes	characteristic, complemented
100	#16810507	C₂²	1	1	yes	characteristic, complemented
101	#16810507	C₂²	1	1	yes	characteristic, complemented
102	#16810507	C₂²	1	1	yes	characteristic, complemented
103	#16810506	C₂²	1	1	yes	characteristic, complemented
104	#16810506	C₂²	1	1	yes	characteristic, complemented
105	#16810505	C₂²	1	1	yes	characteristic, complemented
106	#16810505	C₂²	1	1	yes	characteristic, complemented
107	#16810505	C₂²	1	1	yes	characteristic, complemented
108	#16810504	C₂²	1	1	yes	characteristic, complemented
109	#16810503	C₂²	1	1	yes	characteristic
110	#16810501	C₂²	1	1	yes	characteristic
111	#16810501	C₂²	1	1	yes	characteristic
112	#16810499	C₂²	1	1	yes	characteristic
113	#16810499	C₂²	1	1	yes	characteristic
114	#16810499	C₂²	1	1	yes	characteristic
115	#16810499	C₂²	1	1	yes	characteristic
116	#16810498	C₂²	1	1	yes	characteristic, complemented
117	#16810497	C₂²	1	1	yes	characteristic, complemented
118	#16810497	C₂²	1	1	yes	characteristic, complemented
119	#16810497	C₂²	1	1	yes	characteristic, complemented
120	#16810497	C₂²	1	1	yes	characteristic, complemented
121	#16810497	C₂²	1	1	yes	characteristic, complemented
122	#16810496	C₂²	1	1	yes	characteristic, complemented
123	#16810496	C₂²	1	1	yes	characteristic, complemented
124	#16810495	C₂²	1	1	yes	characteristic, complemented
125	#16810495	C₂²	1	1	yes	characteristic, complemented
126	#16810494	C₂²	1	1	yes	characteristic, complemented
127	#16810494	C₂²	1	1	yes	characteristic, complemented
128	#16810494	C₂²	1	1	yes	characteristic, complemented
129	#16810494	C₂²	1	1	yes	characteristic, complemented
130	#16810494	C₂²	1	1	yes	characteristic, complemented
131	#16810485	C₂²	1	1	yes	characteristic
132	#16810485	C₂²	1	1	yes	characteristic
133	#16810485	C₂²	1	1	yes	characteristic, complemented
134	#16810485	C₂²	1	1	yes	characteristic, complemented
135	#16810483	C₂²	1	1	yes	characteristic, complemented
136	#16810482	C₂²	1	1	yes	characteristic
137	#16810482	C₂²	1	1	yes	characteristic
138	#16810482	C₂²	1	1	yes	characteristic
139	#16810482	C₂²	1	1	yes	characteristic
140	#16810482	C₂²	1	1	yes	characteristic
141	#16810482	C₂²	1	1	yes	characteristic
142	#16810481	C₂²	1	1	yes	characteristic, complemented
143	#16810481	C₂²	1	1	yes	characteristic, complemented
144	#16810481	C₂²	1	1	yes	characteristic, complemented
145	#16810481	C₂²	1	1	yes	characteristic, complemented
146	#16810480	C₂²	1	1	yes	characteristic
147	#16810480	C₂²	1	1	yes	characteristic
148	#16810480	C₂²	1	1	yes	characteristic
149	#16810480	C₂²	1	1	yes	characteristic
150	#16810478	C₂²	1	1	yes	characteristic
151	#16810478	C₂²	1	1	yes	characteristic
152	#16810478	C₂²	1	1	yes	characteristic
153	#16810478	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11719919	C₂²	1	1	yes	characteristic, complemented
156	#16810474	C₂²	1	1	yes	characteristic, complemented
157	C₂²⋊C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11719921	C₂²	1	1	yes	characteristic
159	C₄×#11719921	C₂²	1	1	yes	characteristic
160	C₄×#11719921	C₂²	1	1	yes	characteristic
161	C₄×#11719921	C₂²	1	1	yes	characteristic
162	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
163	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
164	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
166	#16810470	C₂²	1	1	yes	characteristic
167	#16810470	C₂²	1	1	yes	characteristic
168	#16810470	C₂²	1	1	yes	characteristic, complemented
169	#16810470	C₂²	1	1	yes	characteristic, complemented
170	#16810470	C₂²	1	1	yes	characteristic, complemented
171	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
172	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
173	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
174	C₅₃×#390	C₂²	1	1	yes	characteristic
175	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#386	C₂²	1	1	yes	characteristic
183	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
189	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
190	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
193	C₂×D₄×D₅₃	—	4	2	no	—
194	C₂×D₄×D₅₃	—	4	2	no	—
195	C₂×D₄×D₅₃	C₂×C₄	1	8	yes	—
196	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅₃	—	4	2	no	—
199	C₂²×C₄×D₅₃	—	4	2	no	—
200	C₂²×C₄×D₅₃	C₂×C₄	1	8	yes	complemented
201	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
214	#13133202	C₂×C₄	1	8	yes	complemented
215	#13133202	C₂×C₄	1	8	yes	complemented
216	#13133201	C₂×C₄	1	8	yes	complemented
217	#13133200	C₂×C₄	1	8	yes	complemented
218	#13133199	C₂×C₄	1	8	yes	complemented
219	#13133199	C₂×C₄	1	8	yes	complemented
220	#13133198	C₂×C₄	1	8	yes	complemented
221	C₄×D₂₁₂	—	4	2	no	—
222	#13133179	—	4	2	no	—
223	C₄×C₂²⋊D₅₃	—	4	2	no	—
224	#13133177	—	4	2	no	—
225	#13133175	—	4	2	no	—
226	#13133174	—	4	2	no	—
227	#13133174	—	4	2	no	—
228	#13133174	—	4	2	no	—
229	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
236	C₂×#11719919	C₂³	1	1	yes	characteristic
237	C₂×#11719919	C₂³	1	1	yes	characteristic
238	C₂×#11719919	C₂³	1	1	yes	characteristic
239	C₂×#11719919	C₂³	1	1	yes	characteristic
240	C₂×#11719919	C₂³	1	1	yes	characteristic
241	C₂×#11719919	C₂³	1	1	yes	characteristic
242	C₂×#11719919	C₂³	1	1	yes	characteristic
243	C₂×#11719919	C₂³	1	1	yes	characteristic
244	C₂×#11719919	C₂³	1	1	yes	characteristic
245	C₂×#11719919	C₂³	1	1	yes	characteristic
246	C₂×#11719919	C₂³	1	1	yes	characteristic
247	C₂×#11719919	C₂³	1	1	yes	characteristic
248	C₂×#11719919	C₂³	1	1	yes	characteristic
249	C₂×#11719919	C₂³	1	1	yes	characteristic
250	C₂×#11719919	C₂³	1	1	yes	characteristic
251	C₂×#11719919	C₂³	1	1	yes	characteristic
252	C₂×#11719919	C₂³	1	1	yes	characteristic
253	C₂×#11719919	C₂³	1	1	yes	characteristic
254	C₄⋊C₄×D₅₃	—	4	2	no	—
255	C₄⋊C₄×D₅₃	—	4	2	no	—
256	C₄⋊C₄×D₅₃	C₂×C₄	1	8	yes	complemented
257	C₄⋊C₄×D₅₃	C₂×C₄	1	8	yes	complemented
258	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
268	C₂×#11719921	—	4	2	no	—
269	C₂×#11719921	C₂³	1	1	yes	characteristic
270	C₂×#11719921	C₂³	1	1	yes	characteristic
271	C₂×#11719921	C₂³	1	1	yes	characteristic
272	C₂×#11719921	C₂³	1	1	yes	characteristic
273	C₂×#11719921	C₂³	1	1	yes	characteristic
274	C₂×#11719921	C₂³	1	1	yes	characteristic
275	C₂×#11719921	C₂³	1	1	yes	characteristic
276	C₂×#11719921	C₂³	1	1	yes	characteristic
277	C₂×#11719921	C₂³	1	1	yes	characteristic
278	C₂×#11719921	C₂³	1	1	yes	characteristic
279	C₂×#11719921	C₂³	1	1	yes	characteristic
280	C₂×#11719921	C₂³	1	1	yes	characteristic
281	C₂×#11719921	C₂³	1	1	yes	characteristic
282	C₂×#11719921	C₂³	1	1	yes	characteristic
283	C₂×#11719921	C₂³	1	1	yes	characteristic
284	C₂×#11719921	C₂³	1	1	yes	characteristic
285	C₂×#11719921	C₂³	1	1	yes	characteristic
286	C₂×#11719921	C₂³	1	1	yes	characteristic
287	C₂×#11719921	C₂³	1	1	yes	characteristic
288	C₂×#11719921	C₂³	1	1	yes	characteristic
289	C₂×#11719921	C₂³	1	1	yes	characteristic
290	C₂×#11719921	C₂³	1	1	yes	characteristic
291	C₂×#11719921	C₂³	1	1	yes	characteristic
292	C₂×#11719921	C₂³	1	1	yes	characteristic
293	C₂²⋊C₄×D₅₃	—	4	2	no	—
294	C₂²⋊C₄×D₅₃	—	4	2	no	—
295	C₂²⋊C₄×D₅₃	—	4	2	no	—
296	C₂²⋊C₄×D₅₃	C₂×C₄	1	8	yes	complemented
297	C₂²⋊C₄×D₅₃	C₂×C₄	1	8	yes	complemented
298	C₂²⋊C₄×D₅₃	C₂×C₄	1	8	yes	complemented
299	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
310	#13133124	C₂³	1	1	yes	characteristic
311	#13133124	C₂³	1	1	yes	characteristic
312	#13133124	C₂³	1	1	yes	characteristic
313	#13133124	C₂³	1	1	yes	characteristic
314	#13133124	C₂³	1	1	yes	characteristic
315	#13133124	C₂³	1	1	yes	characteristic
316	#13133124	C₂³	1	1	yes	characteristic
317	#13133124	C₂³	1	1	yes	characteristic
318	#13133124	C₂³	1	1	yes	characteristic
319	#13133124	C₂³	1	1	yes	characteristic
320	#13133124	C₂³	1	1	yes	characteristic
321	#13133124	C₂³	1	1	yes	characteristic
322	#13133124	C₂³	1	1	yes	characteristic
323	#13133124	C₂³	1	1	yes	characteristic
324	#13133124	C₂³	1	1	yes	characteristic
325	#13133124	C₂³	1	1	yes	characteristic
326	#13133124	C₂³	1	1	yes	characteristic
327	#13133124	C₂³	1	1	yes	characteristic
328	#13133124	C₂³	1	1	yes	characteristic
329	#13133124	C₂³	1	1	yes	characteristic
330	#13133124	C₂³	1	1	yes	characteristic
331	#13133124	C₂³	1	1	yes	characteristic
332	#13133124	C₂³	1	1	yes	characteristic
333	#13133124	C₂³	1	1	yes	characteristic
334	#13133124	C₂³	1	1	yes	characteristic
335	#13133124	C₂³	1	1	yes	characteristic
336	#13133124	C₂³	1	1	yes	characteristic
337	#13133124	C₂³	1	1	yes	characteristic
338	#13133124	C₂³	1	1	yes	characteristic
339	#13133124	C₂³	1	1	yes	characteristic
340	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
342	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
343	#123×C₅₃	C₂×C₄	1	8	yes	complemented
344	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
364	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
365	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
366	#95×C₅₃	C₂³	1	1	yes	characteristic
367	#95×C₅₃	C₂³	1	1	yes	characteristic
368	#95×C₅₃	C₂³	1	1	yes	characteristic
369	#95×C₅₃	C₂³	1	1	yes	characteristic
370	#95×C₅₃	C₂³	1	1	yes	characteristic
371	#95×C₅₃	C₂³	1	1	yes	characteristic
372	#95×C₅₃	C₂³	1	1	yes	characteristic
373	#95×C₅₃	C₂³	1	1	yes	characteristic
374	#95×C₅₃	C₂³	1	1	yes	characteristic
375	#95×C₅₃	C₂³	1	1	yes	characteristic
376	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
378	C₂³×D₅₃	—	2	2	no	—
379	C₂³×D₅₃	—	2	2	no	—
380	C₂³×D₅₃	—	2	2	no	—
381	C₂³×D₅₃	—	2	2	no	—
382	C₂³×D₅₃	—	2	2	no	—
383	C₂³×D₅₃	—	2	2	no	—
384	C₂³×D₅₃	—	4	1	no	—
385	C₂³×D₅₃	—	4	1	no	—
386	C₂³×D₅₃	—	4	1	no	—
387	C₂³×D₅₃	—	4	1	no	—
388	C₂³×D₅₃	—	4	1	no	—
389	C₂³×D₅₃	—	4	1	no	—
390	C₂³×D₅₃	C₂²×C₄	1	4	yes	—
391	C₂³×D₅₃	C₂²×C₄	1	4	yes	—
392	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
393	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
394	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
395	C₂×D₄×C₅₃	—	4	1	no	—
396	C₂×D₄×C₅₃	—	4	1	no	—
397	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
398	C₂²×C₄×C₅₃	—	4	1	no	—
399	C₂²×C₄×C₅₃	—	4	1	no	—
400	C₂²×C₄×C₅₃	—	4	1	no	—
401	C₂²×C₄×C₅₃	—	4	1	no	—
402	C₂²×C₄×C₅₃	—	4	1	no	—
403	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
404	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₂²⋊D₅₃	—	2	2	no	—
418	C₂×C₂²⋊D₅₃	—	2	2	no	—
419	C₂×C₂²⋊D₅₃	—	4	1	no	—
420	C₂×C₂²⋊D₅₃	—	4	1	no	—
421	C₂×C₂²⋊D₅₃	C₂²×C₄	1	4	yes	—
422	C₂×C₂²⋊D₅₃	C₂²×C₄	1	4	yes	—
423	C₂²×Dic₅₃	—	4	1	no	—
424	C₂²×Dic₅₃	—	4	1	no	—
425	C₂²×Dic₅₃	—	4	1	no	—
426	C₂²×Dic₅₃	—	4	1	no	—
427	C₂²×Dic₅₃	—	4	1	no	—
428	C₂²×Dic₅₃	C₂²×C₄	1	4	yes	—
429	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
442	D₄×D₅₃	—	4	16	no	—
443	C₂×D₂₁₂	—	2	2	no	—
444	C₂×D₂₁₂	—	2	2	no	—
445	C₂×D₂₁₂	C₂²×C₄	1	4	yes	—
446	C₂×C₄×D₅₃	—	2	2	no	—
447	C₂×C₄×D₅₃	—	2	2	no	—
448	C₂×C₄×D₅₃	—	2	2	no	—
449	C₂×C₄×D₅₃	—	2	2	no	—
450	C₂×C₄×D₅₃	—	2	2	no	—
451	C₂×C₄×D₅₃	—	2	2	no	—
452	C₂×C₄×D₅₃	—	2	2	no	—
453	C₂×C₄×D₅₃	—	2	2	no	—
454	C₂×C₄×D₅₃	—	2	2	no	—
455	C₂×C₄×D₅₃	—	2	2	no	—
456	C₂×C₄×D₅₃	—	4	16	no	—
457	C₂×C₄×D₅₃	—	4	1	no	—
458	C₂×C₄×D₅₃	—	4	1	no	—
459	C₂×C₄×D₅₃	—	4	1	no	—
460	C₂×C₄×D₅₃	—	4	1	no	—
461	C₂×C₄×D₅₃	—	4	1	no	—
462	C₂×C₄×D₅₃	—	4	1	no	—
463	C₂×C₄×D₅₃	—	4	1	no	—
464	C₂×C₄×D₅₃	—	4	1	no	—
465	C₂×C₄×D₅₃	—	4	1	no	—
466	C₂×C₄×D₅₃	—	4	1	no	—
467	C₂×C₄×D₅₃	—	4	1	no	—
468	C₂×C₄×D₅₃	—	4	1	no	—
469	C₂×C₄×D₅₃	—	4	1	no	—
470	C₂×C₄×D₅₃	—	4	1	no	—
471	C₂×C₄×D₅₃	—	4	1	no	—
472	C₂×C₄×D₅₃	—	4	1	no	—
473	C₂×C₄×D₅₃	—	4	1	no	—
474	C₂×C₄×D₅₃	—	4	1	no	—
475	C₂×C₄×D₅₃	—	4	1	no	—
476	C₂×C₄×D₅₃	—	4	1	no	—
477	C₂×C₄×D₅₃	—	4	1	no	—
478	C₂×C₄×D₅₃	—	4	1	no	—
479	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
480	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
481	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
482	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
483	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
484	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
485	C₂×C₄×D₅₃	C₂²×C₄	1	4	yes	—
486	C₄⋊C₄×C₅₃	—	4	1	no	—
487	C₄⋊C₄×C₅₃	—	4	1	no	—
488	C₄⋊C₄×C₅₃	—	4	1	no	—
489	C₄⋊C₄×C₅₃	—	4	1	no	—
490	C₄⋊C₄×C₅₃	—	4	1	no	—
491	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
492	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
493	C₂²⋊C₄×C₅₃	—	4	1	no	—
494	C₂²⋊C₄×C₅₃	—	4	1	no	—
495	C₂²⋊C₄×C₅₃	—	4	1	no	—
496	C₂²⋊C₄×C₅₃	—	4	1	no	—
497	C₂²⋊C₄×C₅₃	—	4	1	no	—
498	C₂²⋊C₄×C₅₃	—	4	1	no	—
499	C₂²⋊C₄×C₅₃	—	4	1	no	—
500	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
501	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
502	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
503	C₄²×C₅₃	—	4	1	no	—
504	C₄²×C₅₃	—	4	1	no	—
505	C₄²×C₅₃	—	4	1	no	—
506	C₄²×C₅₃	—	4	1	no	—
507	C₄²×C₅₃	—	4	1	no	—
508	C₂²⋊Dic₅₃	—	4	1	no	—
509	C₂²⋊Dic₅₃	—	4	1	no	—
510	C₂²⋊Dic₅₃	—	4	1	no	—
511	C₂²⋊Dic₅₃	—	4	1	no	—
512	C₂²⋊Dic₅₃	—	4	1	no	—
513	C₂²⋊Dic₅₃	—	4	1	no	—
514	C₂²⋊Dic₅₃	—	4	1	no	—
515	C₂²⋊Dic₅₃	C₂²×C₄	1	4	yes	—
516	C₂²⋊Dic₅₃	C₂²×C₄	1	4	yes	—
517	C₂²⋊Dic₅₃	C₂²×C₄	1	4	yes	—
518	#11719921	—	2	2	no	—
519	#11719921	—	2	2	no	—
520	#11719921	—	2	2	no	—
521	#11719921	—	2	2	no	—
522	#11719921	—	2	2	no	—
523	#11719921	—	2	2	no	—
524	#11719921	—	2	2	no	—
525	#11719921	—	2	2	no	—
526	#11719921	—	2	2	no	—
527	#11719921	—	2	2	no	—
528	#11719921	—	2	2	no	—
529	#11719921	—	2	2	no	—
530	#11719921	—	4	1	no	—
531	#11719921	—	4	1	no	—
532	#11719921	—	4	1	no	—
533	#11719921	—	4	1	no	—
534	#11719921	—	4	1	no	—
535	#11719921	—	4	1	no	—
536	#11719921	C₂²×C₄	1	4	yes	—
537	#11719921	C₂²×C₄	1	4	yes	—
538	#11719921	C₂²×C₄	1	4	yes	—
539	#11719921	C₂²×C₄	1	4	yes	—
540	#11719921	C₂²×C₄	1	4	yes	—
541	#11719921	C₂²×C₄	1	4	yes	—
542	C₄⋊Dic₅₃	—	4	1	no	—
543	C₄⋊Dic₅₃	—	4	1	no	—
544	C₄⋊Dic₅₃	—	4	1	no	—
545	C₄⋊Dic₅₃	—	4	1	no	—
546	C₄⋊Dic₅₃	—	4	1	no	—
547	C₄⋊Dic₅₃	C₂²×C₄	1	4	yes	—
548	C₄⋊Dic₅₃	C₂²×C₄	1	4	yes	—
549	#11719919	—	4	1	no	—
550	#11719919	—	4	1	no	—
551	#11719919	—	4	1	no	—
552	#11719919	—	4	1	no	—
553	#11719919	—	4	1	no	—
554	#11719919	—	4	1	no	—
555	#11719919	—	4	1	no	—
556	#11719919	—	4	1	no	—
557	#11719919	—	4	1	no	—
558	#11719919	—	4	1	no	—
559	#11719919	—	4	1	no	—
560	#11719919	—	4	1	no	—
561	#11719919	—	4	1	no	—
562	#11719919	—	4	1	no	—
563	#11719919	C₂²×C₄	1	4	yes	—
564	#11719919	C₂²×C₄	1	4	yes	—
565	#11719919	C₂²×C₄	1	4	yes	—
566	#11719919	C₂²×C₄	1	4	yes	—
567	C₄×Dic₅₃	—	4	1	no	—
568	C₄×Dic₅₃	—	4	1	no	—
569	C₄×Dic₅₃	—	4	1	no	—
570	C₄×Dic₅₃	—	4	1	no	—
571	C₄×Dic₅₃	—	4	1	no	—
572	C₄×Dic₅₃	—	4	1	no	—
573	C₄×Dic₅₃	—	4	1	no	—
574	C₄×Dic₅₃	—	4	1	no	—
575	C₄×Dic₅₃	—	4	1	no	—
576	C₄×Dic₅₃	—	4	1	no	—
577	C₄×Dic₅₃	—	4	1	no	—
578	C₂³×C₅₃	—	2	1	no	—
579	C₂³×C₅₃	—	2	1	no	—
580	C₂³×C₅₃	—	2	1	no	—
581	C₂³×C₅₃	—	2	1	no	—
582	C₂³×C₅₃	—	2	1	no	—
583	C₂³×C₅₃	—	2	1	no	—
584	C₂³×C₅₃	—	2	1	no	—
585	C₂³×C₅₃	—	2	1	no	—
586	C₂³×C₅₃	—	2	1	no	—
587	C₂³×C₅₃	—	2	1	no	—
588	C₂³×C₅₃	—	2	1	no	—
589	C₂³×C₅₃	—	2	1	no	—
590	C₂³×C₅₃	C₂³×C₄	1	2	yes	—
591	C₂³×C₅₃	C₂³×C₄	1	2	yes	—
592	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
593	C₂²×D₅₃	—	2	1	no	—
594	C₂²×D₅₃	—	2	1	no	—
595	C₂²×D₅₃	—	2	1	no	—
596	C₂²×D₅₃	—	2	1	no	—
597	C₂²×D₅₃	—	2	1	no	—
598	C₂²×D₅₃	—	2	1	no	—
599	C₂²×D₅₃	—	2	1	no	—
600	C₂²×D₅₃	—	2	1	no	—
601	C₂²×D₅₃	—	2	1	no	—
602	C₂²×D₅₃	—	2	1	no	—
603	C₂²×D₅₃	—	2	1	no	—
604	C₂²×D₅₃	—	2	1	no	—
605	C₂²×D₅₃	—	2	1	no	—
606	C₂²×D₅₃	—	2	1	no	—
607	C₂²×D₅₃	—	2	8	no	—
608	C₂²×D₅₃	—	2	8	no	—
609	C₂²×D₅₃	—	2	8	no	—
610	C₂²×D₅₃	—	4	4	no	—
611	C₂²×D₅₃	—	4	4	no	—
612	C₂²×D₅₃	—	4	4	no	—
613	C₂²×D₅₃	—	4	4	no	—
614	C₂²×D₅₃	—	4	4	no	—
615	C₂²×D₅₃	—	4	4	no	—
616	C₂²×D₅₃	—	4	4	no	—
617	C₂²×D₅₃	—	8	2	no	—
618	C₂²×D₅₃	—	8	2	no	—
619	C₂²×D₅₃	—	8	2	no	—
620	C₂²×D₅₃	—	8	2	no	—
621	C₂²×D₅₃	C₂³×C₄	1	2	yes	—
622	C₂²×D₅₃	C₂³×C₄	1	2	yes	—
623	C₂²×D₅₃	C₂³×C₄	1	2	yes	—
624	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
625	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
626	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
627	C₂²×D₅₃	2₋¹⁺⁴	1	2	yes	—
628	D₄×C₅₃	—	4	4	no	—
629	C₂×C₄×C₅₃	—	2	1	no	—
630	C₂×C₄×C₅₃	—	2	1	no	—
631	C₂×C₄×C₅₃	—	2	1	no	—
632	C₂×C₄×C₅₃	—	2	1	no	—
633	C₂×C₄×C₅₃	—	2	1	no	—
634	C₂×C₄×C₅₃	—	2	1	no	—
635	C₂×C₄×C₅₃	—	2	1	no	—
636	C₂×C₄×C₅₃	—	2	1	no	—
637	C₂×C₄×C₅₃	—	2	1	no	—
638	C₂×C₄×C₅₃	—	2	1	no	—
639	C₂×C₄×C₅₃	—	2	1	no	—
640	C₂×C₄×C₅₃	—	2	1	no	—
641	C₂×C₄×C₅₃	—	2	1	no	—
642	C₂×C₄×C₅₃	—	2	1	no	—
643	C₂×C₄×C₅₃	—	2	1	no	—
644	C₂×C₄×C₅₃	—	2	1	no	—
645	C₂×C₄×C₅₃	—	2	1	no	—
646	C₂×C₄×C₅₃	—	2	1	no	—
647	C₂×C₄×C₅₃	—	2	1	no	—
648	C₂×C₄×C₅₃	—	2	1	no	—
649	C₂×C₄×C₅₃	—	2	1	no	—
650	C₂×C₄×C₅₃	—	2	1	no	—
651	C₂×C₄×C₅₃	—	2	1	no	—
652	C₂×C₄×C₅₃	—	2	1	no	—
653	C₂×C₄×C₅₃	—	2	1	no	—
654	C₂×C₄×C₅₃	—	2	1	no	—
655	C₂×C₄×C₅₃	—	2	1	no	—
656	C₂×C₄×C₅₃	—	2	1	no	—
657	C₂×C₄×C₅₃	—	2	1	no	—
658	C₂×C₄×C₅₃	—	2	1	no	—
659	C₂×C₄×C₅₃	—	2	1	no	—
660	C₂×C₄×C₅₃	—	2	1	no	—
661	C₂×C₄×C₅₃	—	2	1	no	—
662	C₂×C₄×C₅₃	—	2	1	no	—
663	C₂×C₄×C₅₃	—	4	4	no	—
664	C₂×C₄×C₅₃	—	8	2	no	—
665	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
666	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
667	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
668	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
669	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
670	C₂²⋊D₅₃	—	2	8	no	—
671	C₂²⋊D₅₃	—	4	4	no	—
672	C₂×Dic₅₃	—	2	1	no	—
673	C₂×Dic₅₃	—	2	1	no	—
674	C₂×Dic₅₃	—	2	1	no	—
675	C₂×Dic₅₃	—	2	1	no	—
676	C₂×Dic₅₃	—	2	1	no	—
677	C₂×Dic₅₃	—	2	1	no	—
678	C₂×Dic₅₃	—	2	1	no	—
679	C₂×Dic₅₃	—	2	1	no	—
680	C₂×Dic₅₃	—	2	1	no	—
681	C₂×Dic₅₃	—	2	1	no	—
682	C₂×Dic₅₃	—	2	1	no	—
683	C₂×Dic₅₃	—	2	1	no	—
684	C₂×Dic₅₃	—	2	1	no	—
685	C₂×Dic₅₃	—	2	1	no	—
686	C₂×Dic₅₃	—	2	1	no	—
687	C₂×Dic₅₃	—	2	1	no	—
688	C₂×Dic₅₃	—	2	1	no	—
689	C₂×Dic₅₃	—	2	1	no	—
690	C₂×Dic₅₃	—	2	1	no	—
691	C₂×Dic₅₃	—	2	1	no	—
692	C₂×Dic₅₃	—	2	1	no	—
693	C₂×Dic₅₃	—	2	1	no	—
694	C₂×Dic₅₃	—	2	1	no	—
695	C₂×Dic₅₃	—	2	1	no	—
696	C₂×Dic₅₃	—	2	1	no	—
697	C₂×Dic₅₃	—	2	1	no	—
698	C₂×Dic₅₃	—	2	1	no	—
699	C₂×Dic₅₃	—	2	1	no	—
700	C₂×Dic₅₃	—	2	1	no	—
701	C₂×Dic₅₃	—	2	1	no	—
702	C₂×Dic₅₃	—	2	1	no	—
703	C₂×Dic₅₃	—	2	1	no	—
704	C₂×Dic₅₃	—	2	1	no	—
705	C₂×Dic₅₃	—	2	1	no	—
706	C₂×Dic₅₃	—	4	4	no	—
707	C₂×Dic₅₃	—	8	2	no	—
708	C₂×Dic₅₃	C₂³×C₄	1	2	yes	—
709	C₂×Dic₅₃	C₂³×C₄	1	2	yes	—
710	C₂×Dic₅₃	C₂³×C₄	1	2	yes	—
711	C₂×Dic₅₃	C₂³×C₄	1	2	yes	—
712	C₂×Dic₅₃	C₂³×C₄	1	2	yes	—
713	D₂₁₂	—	2	8	no	—
714	C₄×D₅₃	—	2	8	no	—
715	C₄×D₅₃	—	2	8	no	—
716	C₄×D₅₃	—	2	8	no	—
717	C₄×D₅₃	—	4	4	no	—
718	C₄×D₅₃	—	4	4	no	—
719	C₄×D₅₃	—	4	4	no	—
720	C₄×D₅₃	—	4	4	no	—
721	C₄×D₅₃	—	8	2	no	—
722	C₄×D₅₃	—	8	2	no	—
723	C₄×D₅₃	—	8	2	no	—
724	C₄×D₅₃	—	8	2	no	—
725	C₄×D₅₃	—	8	2	no	—
726	C₄×D₅₃	—	8	2	no	—
727	#34376	—	53	1	no	maximal, Sylow
728	C₂²×C₅₃	—	2	2	no	—
729	C₂²×C₅₃	—	2	2	no	—
730	C₂²×C₅₃	—	2	2	no	—
731	C₂²×C₅₃	—	2	2	no	—
732	C₂²×C₅₃	—	2	2	no	—
733	C₂²×C₅₃	—	2	2	no	—
734	C₂²×C₅₃	—	4	1	no	—
735	C₂²×C₅₃	—	4	1	no	—
736	C₂²×C₅₃	—	4	1	no	—
737	C₂²×C₅₃	—	4	1	no	—
738	C₂²×C₅₃	—	4	1	no	—
739	C₂²×C₅₃	—	4	1	no	—
740	C₂²×C₅₃	—	4	1	no	—
741	C₂²×C₅₃	—	4	1	no	—
742	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
743	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
744	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
745	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
746	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
747	C₂²×C₅₃	#585	1	1	yes	characteristic
748	C₂²×C₅₃	#585	1	1	yes	characteristic
749	C₂×D₅₃	—	2	2	no	—
750	C₂×D₅₃	—	2	2	no	—
751	C₂×D₅₃	—	2	2	no	—
752	C₂×D₅₃	—	2	2	no	—
753	C₂×D₅₃	—	2	2	no	—
754	C₂×D₅₃	—	2	2	no	—
755	C₂×D₅₃	—	2	2	no	—
756	C₂×D₅₃	—	2	2	no	—
757	C₂×D₅₃	—	2	2	no	—
758	C₂×D₅₃	—	2	2	no	—
759	C₂×D₅₃	—	2	2	no	—
760	C₂×D₅₃	—	2	2	no	—
761	C₂×D₅₃	—	2	2	no	—
762	C₂×D₅₃	—	2	2	no	—
763	C₂×D₅₃	—	2	2	no	—
764	C₂×D₅₃	—	4	16	no	—
765	C₂×D₅₃	—	4	1	no	—
766	C₂×D₅₃	—	4	1	no	—
767	C₂×D₅₃	—	4	1	no	—
768	C₂×D₅₃	—	4	1	no	—
769	C₂×D₅₃	—	8	8	no	—
770	C₂×D₅₃	#518	1	4	yes	—
771	C₂×D₅₃	#520	1	4	yes	—
772	C₄×C₅₃	—	2	2	no	—
773	C₄×C₅₃	—	2	2	no	—
774	C₄×C₅₃	—	2	2	no	—
775	C₄×C₅₃	—	2	2	no	—
776	C₄×C₅₃	—	2	2	no	—
777	C₄×C₅₃	—	4	1	no	—
778	C₄×C₅₃	—	4	1	no	—
779	C₄×C₅₃	—	4	1	no	—
780	C₄×C₅₃	—	4	1	no	—
781	C₄×C₅₃	—	4	1	no	—
782	C₄×C₅₃	—	4	1	no	—
783	C₄×C₅₃	—	4	1	no	—
784	C₄×C₅₃	—	4	1	no	—
785	Dic₅₃	—	2	2	no	—
786	Dic₅₃	—	2	2	no	—
787	Dic₅₃	—	2	2	no	—
788	Dic₅₃	—	2	2	no	—
789	Dic₅₃	—	2	2	no	—
790	Dic₅₃	—	4	1	no	—
791	Dic₅₃	—	4	1	no	—
792	Dic₅₃	—	4	1	no	—
793	Dic₅₃	—	4	1	no	—
794	Dic₅₃	—	4	1	no	—
795	Dic₅₃	—	4	1	no	—
796	Dic₅₃	—	4	1	no	—
797	Dic₅₃	—	4	1	no	—
798	C₂²×#123	—	53	1	no	—
799	#2376	—	53	1	no	—
800	#2376	—	53	1	no	—
801	#2376	—	53	1	no	—
802	#2376	—	53	1	no	—
803	#2359	—	53	1	no	—
804	#2359	—	53	1	no	—
805	#2359	—	53	1	no	—
806	#2359	—	53	1	no	—
807	#2345	—	53	1	no	—
808	#2345	—	53	1	no	—
809	#2342	—	53	1	no	—
810	#2342	—	53	1	no	—
811	#2342	—	53	1	no	—
812	#2342	—	53	1	no	—
813	D₄×C₂²⋊C₄	—	53	1	no	—
814	D₄×C₂²⋊C₄	—	53	1	no	—
815	#2335	—	53	1	no	—
816	#2335	—	53	1	no	—
817	#2335	—	53	1	no	—
818	#2335	D₅₃	1	1	yes	characteristic, complemented
819	#2322	—	53	1	no	—
820	#2322	—	53	1	no	—
821	#2322	—	53	1	no	—
822	#2322	—	53	1	no	—
823	#2316	—	53	1	no	—
824	#2315	—	53	1	no	—
825	#2313	—	53	1	no	—
826	#2312	—	53	1	no	—
827	#2280	—	53	1	no	—
828	C₂×#380	—	53	1	no	—
829	C₂×C₅₃	—	4	2	no	—
830	C₂×C₅₃	—	4	2	no	—
831	C₂×C₅₃	C₂×#518	1	1	yes	characteristic
832	C₂×C₅₃	C₂×#520	1	1	yes	characteristic
833	C₂×C₅₃	#3428	1	1	yes	characteristic
834	C₂×C₅₃	#3534	1	1	yes	characteristic
835	C₂×C₅₃	#3534	1	1	yes	characteristic
836	C₂×C₅₃	#3535	1	1	yes	characteristic
837	C₂×C₅₃	#3535	1	1	yes	characteristic
838	D₅₃	—	2	4	no	—
839	D₅₃	—	2	4	no	—
840	D₅₃	—	4	2	no	—
841	C₂³×D₄	—	53	1	no	—
842	C₂⁴×C₄	—	53	1	no	—
843	C₂×#123	—	53	1	no	—
844	C₂×#123	—	53	1	no	—
845	C₂×#123	—	53	16	no	—
846	C₂×#123	—	53	1	no	—
847	C₂×#123	—	53	1	no	—
848	C₂×#123	—	53	1	no	—
849	C₂×#123	—	53	1	no	—
850	C₂×#123	—	53	1	no	—
851	C₂×#123	C₂×D₅₃	1	1	yes	characteristic
852	C₂×C₄×D₄	—	53	1	no	—
853	C₂×C₄×D₄	—	53	1	no	—
854	C₂×C₄×D₄	—	53	1	no	—
855	C₂×C₄×D₄	—	53	1	no	—
856	C₂×#117	—	53	1	no	—
857	C₂×#117	—	53	1	no	—
858	C₂×#117	—	53	1	no	—
859	C₂×#117	—	53	1	no	—
860	C₂²×C₄⋊C₄	—	53	1	no	—
861	C₂²×C₄⋊C₄	—	53	1	no	—
862	C₂²×C₄⋊C₄	—	53	1	no	—
863	C₂²×C₄⋊C₄	—	53	1	no	—
864	C₂²×C₂²⋊C₄	—	53	1	no	—
865	C₂²×C₂²⋊C₄	—	53	1	no	—
866	C₂²×C₂²⋊C₄	—	53	1	no	—
867	C₂²×C₂²⋊C₄	—	53	1	no	—
868	C₂²×C₂²⋊C₄	—	53	1	no	—
869	C₂²×C₂²⋊C₄	—	53	1	no	—
870	C₂²×C₂²⋊C₄	—	53	1	no	—
871	#390	—	53	1	no	—
872	#390	—	53	1	no	—
873	#390	—	53	1	no	—
874	#390	C₂×D₅₃	1	1	yes	characteristic
875	#389	—	53	1	no	—
876	#389	—	53	1	no	—
877	#389	—	53	1	no	—
878	#389	—	53	1	no	—
879	#389	—	53	1	no	—
880	#389	—	53	1	no	—
881	#389	—	53	1	no	—
882	#389	—	53	1	no	—
883	#389	—	53	1	no	—
884	#389	—	53	1	no	—
885	#389	—	53	1	no	—
886	#389	C₂×D₅₃	1	1	yes	characteristic, complemented
887	#388	—	53	1	no	—
888	#388	—	53	1	no	—
889	#388	—	53	1	no	—
890	#388	—	53	1	no	—
891	#388	—	53	1	no	—
892	#388	—	53	1	no	—
893	#388	—	53	1	no	—
894	#388	—	53	1	no	—
895	#388	—	53	1	no	—
896	#388	—	53	1	no	—
897	#388	—	53	1	no	—
898	#388	—	53	1	no	—
899	#388	—	53	1	no	—
900	#388	—	53	1	no	—
901	#388	—	53	1	no	—
902	#388	—	53	1	no	—
903	#388	—	53	1	no	—
904	#388	—	53	1	no	—
905	#388	—	53	1	no	—
906	#388	—	53	1	no	—
907	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
908	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
909	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
910	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
911	#387	—	53	1	no	—
912	#387	—	53	1	no	—
913	#387	—	53	1	no	—
914	#387	—	53	1	no	—
915	#387	—	53	1	no	—
916	#387	—	53	1	no	—
917	#387	—	53	1	no	—
918	#387	—	53	1	no	—
919	#387	—	53	1	no	—
920	#387	—	53	1	no	—
921	#387	—	53	1	no	—
922	#387	—	53	1	no	—
923	#387	—	53	1	no	—
924	#387	—	53	1	no	—
925	#387	C₂×D₅₃	1	1	yes	characteristic, complemented
926	#387	C₂×D₅₃	1	1	yes	characteristic, complemented
927	#386	—	53	1	no	—
928	#386	—	53	1	no	—
929	#386	—	53	1	no	—
930	#386	—	53	1	no	—
931	#386	—	53	1	no	—
932	#386	—	53	1	no	—
933	#386	—	53	1	no	—
934	#386	C₂×D₅₃	1	1	yes	characteristic
935	#385	—	53	1	no	—
936	#385	—	53	1	no	—
937	#385	—	53	1	no	—
938	#385	—	53	1	no	—
939	#385	—	53	1	no	—
940	#385	—	53	1	no	—
941	#385	—	53	1	no	—
942	#385	—	53	1	no	—
943	#385	—	53	1	no	—
944	#385	—	53	1	no	—
945	#385	—	53	1	no	—
946	#385	—	53	1	no	—
947	#385	—	53	1	no	—
948	#385	—	53	1	no	—
949	#385	—	53	1	no	—
950	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
951	#381	—	53	1	no	—
952	#381	—	53	1	no	—
953	#381	—	53	1	no	—
954	#381	—	53	1	no	—
955	#380	—	53	1	no	—
956	#380	—	53	1	no	—
957	#380	—	53	1	no	—
958	#380	—	53	1	no	—
959	#380	—	53	1	no	—
960	#380	—	53	1	no	—
961	#380	—	53	1	no	—
962	#380	—	53	1	no	—
963	#380	—	53	1	no	—
964	#380	—	53	1	no	—
965	#380	—	53	1	no	—
966	#380	—	53	1	no	—
967	#380	—	53	1	no	—
968	#380	—	53	1	no	—
969	#380	—	53	1	no	—
970	#380	C₂×D₅₃	1	1	yes	characteristic, complemented
971	#379	—	53	1	no	—
972	#379	—	53	1	no	—
973	#379	—	53	1	no	—
974	#379	—	53	1	no	—
975	C₄×C₄⋊C₄	—	53	1	no	—
976	C₄×C₄⋊C₄	—	53	1	no	—
977	C₄×C₄⋊C₄	—	53	1	no	—
978	C₄×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
979	C₄×C₂²⋊C₄	—	53	1	no	—
980	C₄×C₂²⋊C₄	—	53	1	no	—
981	C₄×C₂²⋊C₄	—	53	1	no	—
982	C₄×C₂²⋊C₄	—	53	1	no	—
983	C₄×C₂²⋊C₄	—	53	1	no	—
984	C₄×C₂²⋊C₄	—	53	1	no	—
985	C₄×C₂²⋊C₄	—	53	1	no	—
986	C₄×C₂²⋊C₄	—	53	1	no	—
987	C₄×C₂²⋊C₄	—	53	1	no	—
988	C₄×C₂²⋊C₄	—	53	1	no	—
989	C₄×C₂²⋊C₄	—	53	1	no	—
990	C₄×C₂²⋊C₄	—	53	1	no	—
991	C₄×C₂²⋊C₄	—	53	1	no	—
992	C₄×C₂²⋊C₄	—	53	1	no	—
993	C₄×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
994	C₄×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
995	C₂×#95	—	53	1	no	—
996	C₂×#95	—	53	1	no	—
997	C₅₃	#34376	1	1	yes	characteristic, complemented, Sylow
998	C₂⁵	—	53	1	no	—
999	C₂⁵	—	53	1	no	—
1000	C₂²×D₄	—	53	1	no	—
1001	C₂²×D₄	—	53	1	no	—
1002	C₂²×D₄	—	53	8	no	—
1003	C₂²×D₄	—	53	1	no	—
1004	C₂²×D₄	—	212	2	no	—
1005	C₂²×D₄	—	212	2	no	—
1006	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1007	C₂³×C₄	—	53	1	no	—
1008	C₂³×C₄	—	53	1	no	—
1009	C₂³×C₄	—	53	1	no	—
1010	C₂³×C₄	—	53	1	no	—
1011	C₂³×C₄	—	53	8	no	—
1012	C₂³×C₄	—	53	1	no	—
1013	C₂³×C₄	—	53	1	no	—
1014	C₂³×C₄	—	53	1	no	—
1015	C₂³×C₄	—	53	1	no	—
1016	C₂³×C₄	—	53	1	no	—
1017	C₂³×C₄	—	53	1	no	—
1018	C₂³×C₄	—	53	1	no	—
1019	C₂³×C₄	—	53	1	no	—
1020	C₂³×C₄	—	53	1	no	—
1021	C₂³×C₄	—	53	1	no	—
1022	C₂³×C₄	—	53	1	no	—
1023	C₂³×C₄	—	212	2	no	—
1024	C₂³×C₄	—	212	2	no	—
1025	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1026	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1027	#123	—	53	8	no	—
1028	#123	—	53	8	no	—
1029	#123	—	53	8	no	—
1030	#123	—	53	8	no	—
1031	#123	—	53	8	no	—
1032	#123	—	53	8	no	—
1033	#123	—	53	8	no	—
1034	#123	C₄×D₅₃	1	8	yes	complemented
1035	C₄×D₄	—	212	2	no	—
1036	C₄×D₄	—	212	2	no	—
1037	C₄×D₄	—	212	2	no	—
1038	C₄×D₄	—	212	2	no	—
1039	#117	—	212	2	no	—
1040	#117	—	212	2	no	—
1041	#117	—	212	2	no	—
1042	#117	—	212	2	no	—
1043	C₂×C₄⋊C₄	—	53	1	no	—
1044	C₂×C₄⋊C₄	—	53	1	no	—
1045	C₂×C₄⋊C₄	—	53	1	no	—
1046	C₂×C₄⋊C₄	—	53	1	no	—
1047	C₂×C₄⋊C₄	—	53	1	no	—
1048	C₂×C₄⋊C₄	—	53	1	no	—
1049	C₂×C₄⋊C₄	—	53	8	no	—
1050	C₂×C₄⋊C₄	—	53	8	no	—
1051	C₂×C₄⋊C₄	—	53	1	no	—
1052	C₂×C₄⋊C₄	—	53	1	no	—
1053	C₂×C₄⋊C₄	—	53	1	no	—
1054	C₂×C₄⋊C₄	—	53	1	no	—
1055	C₂×C₄⋊C₄	—	53	1	no	—
1056	C₂×C₄⋊C₄	—	53	1	no	—
1057	C₂×C₄⋊C₄	—	53	1	no	—
1058	C₂×C₄⋊C₄	—	53	1	no	—
1059	C₂×C₄⋊C₄	—	53	1	no	—
1060	C₂×C₄⋊C₄	—	53	1	no	—
1061	C₂×C₄⋊C₄	—	53	1	no	—
1062	C₂×C₄⋊C₄	—	53	1	no	—
1063	C₂×C₄⋊C₄	—	53	1	no	—
1064	C₂×C₄⋊C₄	—	53	1	no	—
1065	C₂×C₄⋊C₄	—	53	1	no	—
1066	C₂×C₄⋊C₄	—	53	1	no	—
1067	C₂×C₄⋊C₄	—	53	1	no	—
1068	C₂×C₄⋊C₄	—	53	1	no	—
1069	C₂×C₄⋊C₄	—	53	1	no	—
1070	C₂×C₄⋊C₄	—	212	2	no	—
1071	C₂×C₄⋊C₄	—	212	2	no	—
1072	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	—	53	1	no	—
1080	C₂×C₂²⋊C₄	—	53	1	no	—
1081	C₂×C₂²⋊C₄	—	53	1	no	—
1082	C₂×C₂²⋊C₄	—	53	1	no	—
1083	C₂×C₂²⋊C₄	—	53	1	no	—
1084	C₂×C₂²⋊C₄	—	53	1	no	—
1085	C₂×C₂²⋊C₄	—	53	1	no	—
1086	C₂×C₂²⋊C₄	—	53	1	no	—
1087	C₂×C₂²⋊C₄	—	53	1	no	—
1088	C₂×C₂²⋊C₄	—	53	8	no	—
1089	C₂×C₂²⋊C₄	—	53	8	no	—
1090	C₂×C₂²⋊C₄	—	53	8	no	—
1091	C₂×C₂²⋊C₄	—	53	1	no	—
1092	C₂×C₂²⋊C₄	—	53	1	no	—
1093	C₂×C₂²⋊C₄	—	53	1	no	—
1094	C₂×C₂²⋊C₄	—	53	1	no	—
1095	C₂×C₂²⋊C₄	—	53	1	no	—
1096	C₂×C₂²⋊C₄	—	53	1	no	—
1097	C₂×C₂²⋊C₄	—	53	1	no	—
1098	C₂×C₂²⋊C₄	—	53	1	no	—
1099	C₂×C₂²⋊C₄	—	53	1	no	—
1100	C₂×C₂²⋊C₄	—	53	1	no	—
1101	C₂×C₂²⋊C₄	—	53	1	no	—
1102	C₂×C₂²⋊C₄	—	53	1	no	—
1103	C₂×C₂²⋊C₄	—	53	1	no	—
1104	C₂×C₂²⋊C₄	—	53	1	no	—
1105	C₂×C₂²⋊C₄	—	53	1	no	—
1106	C₂×C₂²⋊C₄	—	53	1	no	—
1107	C₂×C₂²⋊C₄	—	53	1	no	—
1108	C₂×C₂²⋊C₄	—	53	1	no	—
1109	C₂×C₂²⋊C₄	—	53	1	no	—
1110	C₂×C₂²⋊C₄	—	53	1	no	—
1111	C₂×C₂²⋊C₄	—	53	1	no	—
1112	C₂×C₂²⋊C₄	—	53	1	no	—
1113	C₂×C₂²⋊C₄	—	53	1	no	—
1114	C₂×C₂²⋊C₄	—	53	1	no	—
1115	C₂×C₂²⋊C₄	—	53	1	no	—
1116	C₂×C₂²⋊C₄	—	212	2	no	—
1117	C₂×C₂²⋊C₄	—	212	2	no	—
1118	C₂×C₂²⋊C₄	—	212	2	no	—
1119	C₂×C₂²⋊C₄	—	212	2	no	—
1120	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1130	C₂×C₄²	—	53	1	no	—
1131	C₂×C₄²	—	53	1	no	—
1132	C₂×C₄²	—	53	1	no	—
1133	C₂×C₄²	—	53	1	no	—
1134	C₂×C₄²	—	53	1	no	—
1135	C₂×C₄²	—	53	1	no	—
1136	C₂×C₄²	—	53	1	no	—
1137	C₂×C₄²	—	53	1	no	—
1138	C₂×C₄²	—	53	1	no	—
1139	C₂×C₄²	—	53	1	no	—
1140	C₂×C₄²	—	53	1	no	—
1141	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1142	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1143	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1144	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1145	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1146	#95	—	53	1	no	—
1147	#95	—	53	1	no	—
1148	#95	—	53	1	no	—
1149	#95	—	53	1	no	—
1150	#95	—	53	1	no	—
1151	#95	—	53	1	no	—
1152	#95	—	53	1	no	—
1153	#95	—	53	1	no	—
1154	#95	—	53	1	no	—
1155	#95	—	53	1	no	—
1156	#95	—	53	1	no	—
1157	#95	—	53	1	no	—
1158	#95	—	53	1	no	—
1159	#95	—	53	1	no	—
1160	#95	—	53	1	no	—
1161	#95	—	53	1	no	—
1162	#95	—	53	1	no	—
1163	#95	—	53	1	no	—
1164	#95	—	53	1	no	—
1165	#95	—	53	1	no	—
1166	#95	—	53	1	no	—
1167	#95	—	53	1	no	—
1168	#95	—	53	1	no	—
1169	#95	—	53	1	no	—
1170	#95	—	53	1	no	—
1171	#95	—	53	1	no	—
1172	#95	—	53	1	no	—
1173	#95	—	53	1	no	—
1174	#95	—	53	1	no	—
1175	#95	—	53	1	no	—
1176	#95	C₂²×D₅₃	1	1	yes	characteristic
1177	#95	C₂²×D₅₃	1	1	yes	characteristic
1178	#95	C₂²×D₅₃	1	1	yes	characteristic
1179	#95	C₂²×D₅₃	1	1	yes	characteristic
1180	#95	C₂²×D₅₃	1	1	yes	characteristic
1181	#95	C₂²×D₅₃	1	1	yes	characteristic
1182	#95	C₂²×D₅₃	1	1	yes	characteristic
1183	#95	C₂²×D₅₃	1	1	yes	characteristic
1184	#95	C₂²×D₅₃	1	1	yes	characteristic
1185	#95	C₂²×D₅₃	1	1	yes	characteristic
1186	C₂⁴	—	53	1	no	—
1187	C₂⁴	—	53	1	no	—
1188	C₂⁴	—	53	1	no	—
1189	C₂⁴	—	53	4	no	—
1190	C₂⁴	—	53	4	no	—
1191	C₂⁴	—	106	2	no	—
1192	C₂⁴	—	106	2	no	—
1193	C₂⁴	—	106	2	no	—
1194	C₂⁴	—	106	2	no	—
1195	C₂⁴	—	106	2	no	—
1196	C₂⁴	—	106	2	no	—
1197	C₂⁴	—	212	1	no	—
1198	C₂⁴	—	212	1	no	—
1199	C₂⁴	—	212	1	no	—
1200	C₂⁴	—	212	1	no	—
1201	C₂⁴	—	212	1	no	—
1202	C₂⁴	—	212	1	no	—
1203	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1204	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	53	4	no	—
1208	C₂×D₄	—	53	4	no	—
1209	C₂×D₄	—	53	4	no	—
1210	C₂×D₄	—	106	2	no	—
1211	C₂×D₄	—	106	2	no	—
1212	C₂×D₄	—	106	2	no	—
1213	C₂×D₄	—	106	2	no	—
1214	C₂×D₄	—	212	1	no	—
1215	C₂×D₄	—	212	1	no	—
1216	C₂×D₄	—	212	16	no	—
1217	C₂×D₄	C₂×C₄×D₅₃	1	4	yes	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	53	1	no	—
1224	C₂²×C₄	—	53	1	no	—
1225	C₂²×C₄	—	53	1	no	—
1226	C₂²×C₄	—	53	1	no	—
1227	C₂²×C₄	—	53	1	no	—
1228	C₂²×C₄	—	53	4	no	—
1229	C₂²×C₄	—	53	4	no	—
1230	C₂²×C₄	—	53	4	no	—
1231	C₂²×C₄	—	53	4	no	—
1232	C₂²×C₄	—	53	4	no	—
1233	C₂²×C₄	—	53	4	no	—
1234	C₂²×C₄	—	53	4	no	—
1235	C₂²×C₄	—	53	4	no	—
1236	C₂²×C₄	—	53	1	no	—
1237	C₂²×C₄	—	53	1	no	—
1238	C₂²×C₄	—	53	1	no	—
1239	C₂²×C₄	—	53	1	no	—
1240	C₂²×C₄	—	53	1	no	—
1241	C₂²×C₄	—	53	1	no	—
1242	C₂²×C₄	—	53	1	no	—
1243	C₂²×C₄	—	53	1	no	—
1244	C₂²×C₄	—	106	2	no	—
1245	C₂²×C₄	—	106	2	no	—
1246	C₂²×C₄	—	106	2	no	—
1247	C₂²×C₄	—	106	2	no	—
1248	C₂²×C₄	—	106	2	no	—
1249	C₂²×C₄	—	106	2	no	—
1250	C₂²×C₄	—	106	2	no	—
1251	C₂²×C₄	—	106	2	no	—
1252	C₂²×C₄	—	106	2	no	—
1253	C₂²×C₄	—	106	2	no	—
1254	C₂²×C₄	—	212	1	no	—
1255	C₂²×C₄	—	212	1	no	—
1256	C₂²×C₄	—	212	1	no	—
1257	C₂²×C₄	—	212	1	no	—
1258	C₂²×C₄	—	212	1	no	—
1259	C₂²×C₄	—	212	1	no	—
1260	C₂²×C₄	—	212	1	no	—
1261	C₂²×C₄	—	212	1	no	—
1262	C₂²×C₄	—	212	1	no	—
1263	C₂²×C₄	—	212	1	no	—
1264	C₂²×C₄	—	212	1	no	—
1265	C₂²×C₄	—	212	1	no	—
1266	C₂²×C₄	—	212	1	no	—
1267	C₂²×C₄	—	212	1	no	—
1268	C₂²×C₄	—	212	1	no	—
1269	C₂²×C₄	—	212	1	no	—
1270	C₂²×C₄	—	212	1	no	—
1271	C₂²×C₄	—	212	1	no	—
1272	C₂²×C₄	—	212	1	no	—
1273	C₂²×C₄	—	212	1	no	—
1274	C₂²×C₄	—	212	1	no	—
1275	C₂²×C₄	—	212	1	no	—
1276	C₂²×C₄	—	212	16	no	—
1277	C₂²×C₄	—	212	1	no	—
1278	C₂²×C₄	—	212	1	no	—
1279	C₂²×C₄	—	212	1	no	—
1280	C₂²×C₄	—	212	1	no	—
1281	C₂²×C₄	—	212	1	no	—
1282	C₂²×C₄	C₂×C₄×D₅₃	1	4	yes	—
1283	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1296	C₄⋊C₄	—	4	1	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	53	4	no	—
1302	C₄⋊C₄	—	53	4	no	—
1303	C₄⋊C₄	—	53	4	no	—
1304	C₄⋊C₄	—	53	4	no	—
1305	C₄⋊C₄	—	53	4	no	—
1306	C₄⋊C₄	—	53	4	no	—
1307	C₄⋊C₄	—	212	1	no	—
1308	C₄⋊C₄	—	212	1	no	—
1309	C₄⋊C₄	—	212	1	no	—
1310	C₄⋊C₄	—	212	1	no	—
1311	C₄⋊C₄	—	212	1	no	—
1312	C₄⋊C₄	—	212	1	no	—
1313	C₄⋊C₄	—	212	1	no	—
1314	C₄⋊C₄	—	212	1	no	—
1315	C₄⋊C₄	—	212	1	no	—
1316	C₄⋊C₄	—	212	1	no	—
1317	C₄⋊C₄	—	212	1	no	—
1318	C₄⋊C₄	—	212	1	no	—
1319	C₄⋊C₄	—	212	1	no	—
1320	C₄⋊C₄	—	212	1	no	—
1321	C₄⋊C₄	—	212	1	no	—
1322	C₄⋊C₄	—	212	1	no	—
1323	C₄⋊C₄	—	212	1	no	—
1324	C₄⋊C₄	—	212	1	no	—
1325	C₄⋊C₄	—	212	1	no	—
1326	C₄⋊C₄	C₂×C₄×D₅₃	1	4	yes	—
1327	C₄⋊C₄	C₂×C₄×D₅₃	1	4	yes	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	53	4	no	—
1336	C₂²⋊C₄	—	53	4	no	—
1337	C₂²⋊C₄	—	53	4	no	—
1338	C₂²⋊C₄	—	53	4	no	—
1339	C₂²⋊C₄	—	53	4	no	—
1340	C₂²⋊C₄	—	53	4	no	—
1341	C₂²⋊C₄	—	53	4	no	—
1342	C₂²⋊C₄	—	53	4	no	—
1343	C₂²⋊C₄	—	53	4	no	—
1344	C₂²⋊C₄	—	106	2	no	—
1345	C₂²⋊C₄	—	106	2	no	—
1346	C₂²⋊C₄	—	106	2	no	—
1347	C₂²⋊C₄	—	106	2	no	—
1348	C₂²⋊C₄	—	106	2	no	—
1349	C₂²⋊C₄	—	106	2	no	—
1350	C₂²⋊C₄	—	106	2	no	—
1351	C₂²⋊C₄	—	106	2	no	—
1352	C₂²⋊C₄	—	106	2	no	—
1353	C₂²⋊C₄	—	106	2	no	—
1354	C₂²⋊C₄	—	106	2	no	—
1355	C₂²⋊C₄	—	106	2	no	—
1356	C₂²⋊C₄	—	212	1	no	—
1357	C₂²⋊C₄	—	212	1	no	—
1358	C₂²⋊C₄	—	212	1	no	—
1359	C₂²⋊C₄	—	212	1	no	—
1360	C₂²⋊C₄	—	212	1	no	—
1361	C₂²⋊C₄	—	212	1	no	—
1362	C₂²⋊C₄	—	212	1	no	—
1363	C₂²⋊C₄	—	212	1	no	—
1364	C₂²⋊C₄	—	212	1	no	—
1365	C₂²⋊C₄	—	212	1	no	—
1366	C₂²⋊C₄	—	212	1	no	—
1367	C₂²⋊C₄	—	212	1	no	—
1368	C₂²⋊C₄	—	212	1	no	—
1369	C₂²⋊C₄	C₂×C₄×D₅₃	1	4	yes	—
1370	C₂²⋊C₄	C₂×C₄×D₅₃	1	4	yes	—
1371	C₂²⋊C₄	C₂×C₄×D₅₃	1	4	yes	—
1372	C₄²	—	4	1	no	—
1373	C₄²	—	4	1	no	—
1374	C₄²	—	4	1	no	—
1375	C₄²	—	4	1	no	—
1376	C₄²	—	4	1	no	—
1377	C₄²	—	212	1	no	—
1378	C₄²	—	212	1	no	—
1379	C₄²	—	212	1	no	—
1380	C₄²	—	212	1	no	—
1381	C₄²	—	212	1	no	—
1382	C₄²	—	212	1	no	—
1383	C₄²	—	212	1	no	—
1384	C₄²	—	212	1	no	—
1385	C₄²	—	212	1	no	—
1386	C₄²	—	212	1	no	—
1387	C₄²	—	212	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	53	2	no	—
1401	C₂³	—	53	2	no	—
1402	C₂³	—	53	2	no	—
1403	C₂³	—	53	2	no	—
1404	C₂³	—	53	2	no	—
1405	C₂³	—	53	2	no	—
1406	C₂³	—	53	2	no	—
1407	C₂³	—	106	8	no	—
1408	C₂³	—	106	8	no	—
1409	C₂³	—	106	8	no	—
1410	C₂³	—	106	1	no	—
1411	C₂³	—	106	1	no	—
1412	C₂³	—	106	1	no	—
1413	C₂³	—	106	1	no	—
1414	C₂³	—	106	1	no	—
1415	C₂³	—	106	1	no	—
1416	C₂³	—	106	1	no	—
1417	C₂³	—	106	1	no	—
1418	C₂³	—	106	1	no	—
1419	C₂³	—	106	1	no	—
1420	C₂³	—	106	1	no	—
1421	C₂³	—	106	1	no	—
1422	C₂³	—	106	1	no	—
1423	C₂³	—	106	1	no	—
1424	C₂³	—	424	2	no	—
1425	C₂³	—	424	2	no	—
1426	C₂³	—	424	2	no	—
1427	C₂³	—	424	2	no	—
1428	C₂³	—	212	4	no	—
1429	C₂³	—	212	4	no	—
1430	C₂³	—	212	4	no	—
1431	C₂³	—	212	4	no	—
1432	C₂³	—	212	4	no	—
1433	C₂³	—	212	4	no	—
1434	C₂³	—	212	4	no	—
1435	C₂³	C₂²×C₄×D₅₃	1	2	yes	—
1436	C₂³	C₂²×C₄×D₅₃	1	2	yes	—
1437	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1438	D₄	—	4	4	no	—
1439	D₄	—	106	8	no	—
1440	D₄	—	106	8	no	—
1441	D₄	—	212	4	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	4	4	no	—
1477	C₂×C₄	—	8	2	no	—
1478	C₂×C₄	—	53	2	no	—
1479	C₂×C₄	—	53	2	no	—
1480	C₂×C₄	—	53	2	no	—
1481	C₂×C₄	—	53	2	no	—
1482	C₂×C₄	—	53	2	no	—
1483	C₂×C₄	—	106	8	no	—
1484	C₂×C₄	—	106	8	no	—
1485	C₂×C₄	—	106	8	no	—
1486	C₂×C₄	—	106	1	no	—
1487	C₂×C₄	—	106	1	no	—
1488	C₂×C₄	—	106	1	no	—
1489	C₂×C₄	—	106	1	no	—
1490	C₂×C₄	—	106	1	no	—
1491	C₂×C₄	—	106	1	no	—
1492	C₂×C₄	—	106	1	no	—
1493	C₂×C₄	—	106	1	no	—
1494	C₂×C₄	—	106	1	no	—
1495	C₂×C₄	—	106	1	no	—
1496	C₂×C₄	—	106	1	no	—
1497	C₂×C₄	—	106	1	no	—
1498	C₂×C₄	—	106	1	no	—
1499	C₂×C₄	—	106	1	no	—
1500	C₂×C₄	—	106	1	no	—
1501	C₂×C₄	—	106	1	no	—
1502	C₂×C₄	—	106	1	no	—
1503	C₂×C₄	—	106	1	no	—
1504	C₂×C₄	—	106	1	no	—
1505	C₂×C₄	—	106	1	no	—
1506	C₂×C₄	—	106	1	no	—
1507	C₂×C₄	—	106	1	no	—
1508	C₂×C₄	—	106	1	no	—
1509	C₂×C₄	—	106	1	no	—
1510	C₂×C₄	—	106	1	no	—
1511	C₂×C₄	—	106	1	no	—
1512	C₂×C₄	—	106	1	no	—
1513	C₂×C₄	—	106	1	no	—
1514	C₂×C₄	—	106	1	no	—
1515	C₂×C₄	—	106	1	no	—
1516	C₂×C₄	—	106	1	no	—
1517	C₂×C₄	—	106	1	no	—
1518	C₂×C₄	—	106	1	no	—
1519	C₂×C₄	—	106	1	no	—
1520	C₂×C₄	—	424	2	no	—
1521	C₂×C₄	—	424	2	no	—
1522	C₂×C₄	—	424	2	no	—
1523	C₂×C₄	—	424	2	no	—
1524	C₂×C₄	—	424	2	no	—
1525	C₂×C₄	—	424	2	no	—
1526	C₂×C₄	—	424	2	no	—
1527	C₂×C₄	—	212	4	no	—
1528	C₂×C₄	—	212	4	no	—
1529	C₂×C₄	—	212	4	no	—
1530	C₂×C₄	—	212	4	no	—
1531	C₂×C₄	—	212	4	no	—
1532	C₂×C₄	C₂²×C₄×D₅₃	1	2	yes	—
1533	C₂×C₄	C₂²×C₄×D₅₃	1	2	yes	—
1534	C₂×C₄	C₂²×C₄×D₅₃	1	2	yes	—
1535	C₂×C₄	C₂²×C₄×D₅₃	1	2	yes	—
1536	C₂×C₄	C₂²×C₄×D₅₃	1	2	yes	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	53	4	no	—
1552	C₂²	—	53	4	no	—
1553	C₂²	—	106	2	no	—
1554	C₂²	—	106	2	no	—
1555	C₂²	—	106	2	no	—
1556	C₂²	—	106	2	no	—
1557	C₂²	—	106	2	no	—
1558	C₂²	—	106	2	no	—
1559	C₂²	—	106	2	no	—
1560	C₂²	—	106	2	no	—
1561	C₂²	—	106	2	no	—
1562	C₂²	—	106	2	no	—
1563	C₂²	—	106	2	no	—
1564	C₂²	—	106	2	no	—
1565	C₂²	—	106	2	no	—
1566	C₂²	—	106	2	no	—
1567	C₂²	—	106	2	no	—
1568	C₂²	—	424	8	no	—
1569	C₂²	—	212	16	no	—
1570	C₂²	—	212	1	no	—
1571	C₂²	—	212	1	no	—
1572	C₂²	—	212	1	no	—
1573	C₂²	—	212	1	no	—
1574	C₂²	C₂³×C₄×D₅₃	1	1	yes	characteristic
1575	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1576	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1577	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1578	C₂²	2₋¹⁺⁴×D₅₃	1	1	yes	characteristic
1579	C₂²	#16811459	1	1	yes	characteristic
1580	C₂²	#16811459	1	1	yes	characteristic
1581	C₄	—	2	2	no	—
1582	C₄	—	2	2	no	—
1583	C₄	—	2	2	no	—
1584	C₄	—	2	2	no	—
1585	C₄	—	2	2	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	106	2	no	—
1595	C₄	—	106	2	no	—
1596	C₄	—	106	2	no	—
1597	C₄	—	106	2	no	—
1598	C₄	—	106	2	no	—
1599	C₄	—	212	1	no	—
1600	C₄	—	212	1	no	—
1601	C₄	—	212	1	no	—
1602	C₄	—	212	1	no	—
1603	C₄	—	212	1	no	—
1604	C₄	—	212	1	no	—
1605	C₄	—	212	1	no	—
1606	C₄	—	212	1	no	—
1607	C₂	—	4	2	no	—
1608	C₂	—	4	2	no	—
1609	C₂	—	106	4	no	—
1610	C₂	—	106	4	no	—
1611	C₂	—	212	2	no	—
1612	C₂	#518×D₅₃	1	1	yes	characteristic
1613	C₂	#520×D₅₃	1	1	yes	characteristic
1614	C₂	#20287914	1	1	yes	characteristic
1615	C₂	#20288898	1	1	yes	characteristic
1616	C₂	#20288904	1	1	yes	characteristic
1617	C₂	#20288917	1	1	yes	characteristic
1618	C₂	#20288923	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₃
commutator	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#2335	C₂
socle, cosocle	C₂³×C₅₃	C₂⁵
prime radical	C₂²×D₄×D₅₃	C₂²
hypercenter	#2335	D₅₃
hypocenter	C₅₃	#34376
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ #2335

Complements

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

N	H ≅ G/N	type
2. #20277865	C₂	semidirect
3. #20277861	C₂	semidirect
4. #20277861	C₂	semidirect
5. #20277858	C₂	semidirect
6. #20277712	C₂	semidirect
7. #20277708	C₂	semidirect
8. #20277704	C₂	semidirect
9. #20277700	C₂	semidirect
10. #20277589	C₂	semidirect
11. #20277588	C₂	semidirect
12. #20277563	C₂	semidirect
13. #20277563	C₂	semidirect
14. #20277559	C₂	semidirect
15. #20277558	C₂	semidirect
18. #20277509	C₂	semidirect
19. #20277505	C₂	semidirect
20. #20277501	C₂	semidirect
21. #20277388	C₂	semidirect
22. #20277385	C₂	semidirect
23. #20277382	C₂	semidirect
24. #20277379	C₂	semidirect
25. #20277330	C₂	semidirect
26. #20277326	C₂	semidirect
27. #20277314	C₂	semidirect
28. #20277309	C₂	semidirect
29. #20277096	C₂	semidirect
30. #380×D₅₃	C₂	semidirect
31. C₅₃×#2335	C₂	semidirect
41. #123×D₅₃	C₄	semidirect
48. C₂×#13133174	C₂²	semidirect
49. C₂×#13133174	C₂²	semidirect
52. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
53. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
64. #16810522	C₂²	semidirect
65. #16810521	C₂²	semidirect
66. #16810521	C₂²	semidirect
67. #16810520	C₂²	semidirect
68. #16810520	C₂²	semidirect
69. #16810520	C₂²	semidirect
70. #16810519	C₂²	semidirect
71. #16810519	C₂²	semidirect
72. #16810518	C₂²	semidirect
73. #16810518	C₂²	semidirect
74. #16810518	C₂²	semidirect
75. #16810517	C₂²	semidirect
76. #16810517	C₂²	semidirect
77. #16810517	C₂²	semidirect
78. #16810517	C₂²	semidirect
79. #16810516	C₂²	semidirect
80. #16810516	C₂²	semidirect
81. #16810516	C₂²	semidirect
82. #16810516	C₂²	semidirect
83. #16810515	C₂²	semidirect
84. #16810514	C₂²	semidirect
85. #16810514	C₂²	semidirect
86. #16810514	C₂²	semidirect
87. #16810513	C₂²	semidirect
88. #16810512	C₂²	semidirect
89. #16810512	C₂²	semidirect
90. #16810512	C₂²	semidirect
91. #16810511	C₂²	semidirect
92. #16810511	C₂²	semidirect
93. #16810511	C₂²	semidirect
94. #16810511	C₂²	semidirect
95. #16810510	C₂²	semidirect
96. #16810509	C₂²	semidirect
97. #16810509	C₂²	semidirect
98. #16810508	C₂²	semidirect
99. #16810508	C₂²	semidirect
100. #16810507	C₂²	semidirect
101. #16810507	C₂²	semidirect
102. #16810507	C₂²	semidirect
103. #16810506	C₂²	semidirect
104. #16810506	C₂²	semidirect
105. #16810505	C₂²	semidirect
106. #16810505	C₂²	semidirect
107. #16810505	C₂²	semidirect
108. #16810504	C₂²	semidirect
116. #16810498	C₂²	semidirect
117. #16810497	C₂²	semidirect
118. #16810497	C₂²	semidirect
119. #16810497	C₂²	semidirect
120. #16810497	C₂²	semidirect
121. #16810497	C₂²	semidirect
122. #16810496	C₂²	semidirect
123. #16810496	C₂²	semidirect
124. #16810495	C₂²	semidirect
125. #16810495	C₂²	semidirect
126. #16810494	C₂²	semidirect
127. #16810494	C₂²	semidirect
128. #16810494	C₂²	semidirect
129. #16810494	C₂²	semidirect
130. #16810494	C₂²	semidirect
133. #16810485	C₂²	semidirect
134. #16810485	C₂²	semidirect
135. #16810483	C₂²	semidirect
142. #16810481	C₂²	semidirect
143. #16810481	C₂²	semidirect
144. #16810481	C₂²	semidirect
145. #16810481	C₂²	semidirect
154. C₄⋊C₄×Dic₅₃	C₂²	semidirect
155. C₄×#11719919	C₂²	semidirect
156. #16810474	C₂²	semidirect
157. C₂²⋊C₄×Dic₅₃	C₂²	semidirect
162. C₄×#11719921	C₂²	semidirect
163. C₄×#11719921	C₂²	semidirect
164. C₄×#11719921	C₂²	semidirect
165. C₄×C₂²⋊Dic₅₃	C₂²	semidirect
168. #16810470	C₂²	semidirect
169. #16810470	C₂²	semidirect
170. #16810470	C₂²	semidirect
171. #95×D₅₃	C₂²	semidirect
172. #95×D₅₃	C₂²	semidirect
175. C₅₃×#389	C₂²	semidirect
176. C₅₃×#388	C₂²	semidirect
177. C₅₃×#388	C₂²	semidirect
178. C₅₃×#388	C₂²	semidirect
179. C₅₃×#388	C₂²	semidirect
180. C₅₃×#387	C₂²	semidirect
181. C₅₃×#387	C₂²	semidirect
183. C₅₃×#385	C₂²	semidirect
184. C₅₃×#380	C₂²	semidirect
185. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
187. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
200. C₂²×C₄×D₅₃	C₂×C₄	semidirect
214. #13133202	C₂×C₄	semidirect
215. #13133202	C₂×C₄	semidirect
216. #13133201	C₂×C₄	semidirect
217. #13133200	C₂×C₄	semidirect
218. #13133199	C₂×C₄	semidirect
219. #13133199	C₂×C₄	semidirect
220. #13133198	C₂×C₄	semidirect
256. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
257. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
296. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
297. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
298. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
343. #123×C₅₃	C₂×C₄	semidirect
818. #2335	D₅₃	semidirect
886. #389	C₂×D₅₃	semidirect
907. #388	C₂×D₅₃	semidirect
908. #388	C₂×D₅₃	semidirect
909. #388	C₂×D₅₃	semidirect
910. #388	C₂×D₅₃	semidirect
925. #387	C₂×D₅₃	semidirect
926. #387	C₂×D₅₃	semidirect
950. #385	C₂×D₅₃	semidirect
970. #380	C₂×D₅₃	semidirect
978. C₄×C₄⋊C₄	C₂×D₅₃	semidirect
993. C₄×C₂²⋊C₄	C₂×D₅₃	semidirect
994. C₄×C₂²⋊C₄	C₂×D₅₃	semidirect
997. C₅₃	#34376	semidirect
1034. #123	C₄×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#123×D₅₃	2
#20277865	2
#20277861	2
#20277858	2
#20277712	2
#20277708	2
#20277704	2
#20277700	2
#20277589	2
#20277588	2
#20277563	2
#20277559	2
#20277558	2
#20277536	2
#20277533	2
#20277509	2
#20277505	2
#20277501	2
#20277388	2
#20277385	2
#20277382	2
#20277379	2
#20277330	2
#20277326	2
#20277314	2
#20277309	2
#20277096	2
#380×D₅₃	2
C₅₃×#2335	2
#34376	53