Subgroups — #28329083

Order 13568.

2082 conjugacy classes of subgroups.

The subgroup lattice has 2014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291262	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291260	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291258	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291246	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291244	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291241	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291235	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291234	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291226	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291222	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291216	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291216	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291216	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291212	C₂	1	1	yes	maximal, characteristic
24	#20291211	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291205	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291204	C₂	1	1	yes	maximal, characteristic
27	#20291197	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²⋊Q₈×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
31	#542×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic
33	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic
34	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×#13133296	C₂²	1	1	yes	characteristic
37	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic
38	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
39	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
40	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
41	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
42	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
43	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
44	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
45	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
46	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
47	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
48	#16811575	C₂²	1	1	yes	characteristic
49	#16811575	C₂²	1	1	yes	characteristic
50	#16811574	C₂²	1	1	yes	characteristic
51	#16811574	C₂²	1	1	yes	characteristic
52	#16811574	C₂²	1	1	yes	characteristic
53	#16811574	C₂²	1	1	yes	characteristic
54	#16811574	C₂²	1	1	yes	characteristic
55	#16811574	C₂²	1	1	yes	characteristic
56	#16811573	C₂²	1	1	yes	characteristic
57	#16811573	C₂²	1	1	yes	characteristic
58	#16811573	C₂²	1	1	yes	characteristic
59	#16811573	C₂²	1	1	yes	characteristic
60	#16811573	C₂²	1	1	yes	characteristic
61	#16811573	C₂²	1	1	yes	characteristic
62	#16811573	C₂²	1	1	yes	characteristic
63	#16811573	C₂²	1	1	yes	characteristic
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811573	C₂²	1	1	yes	characteristic
75	#16811573	C₂²	1	1	yes	characteristic
76	#16811573	C₂²	1	1	yes	characteristic
77	#16811573	C₂²	1	1	yes	characteristic
78	#16811573	C₂²	1	1	yes	characteristic
79	#16811573	C₂²	1	1	yes	characteristic
80	#16811572	C₂²	1	1	yes	characteristic
81	#16811572	C₂²	1	1	yes	characteristic
82	#16811572	C₂²	1	1	yes	characteristic
83	#16811572	C₂²	1	1	yes	characteristic
84	#16811572	C₂²	1	1	yes	characteristic
85	#16811572	C₂²	1	1	yes	characteristic
86	#16811572	C₂²	1	1	yes	characteristic
87	#16811572	C₂²	1	1	yes	characteristic
88	#16811572	C₂²	1	1	yes	characteristic
89	#16811572	C₂²	1	1	yes	characteristic
90	#16811572	C₂²	1	1	yes	characteristic
91	#16811572	C₂²	1	1	yes	characteristic
92	#16811572	C₂²	1	1	yes	characteristic
93	#16811572	C₂²	1	1	yes	characteristic
94	#16811572	C₂²	1	1	yes	characteristic
95	#16811572	C₂²	1	1	yes	characteristic
96	#16811572	C₂²	1	1	yes	characteristic
97	#16811572	C₂²	1	1	yes	characteristic
98	#16811572	C₂²	1	1	yes	characteristic
99	#16811572	C₂²	1	1	yes	characteristic
100	#16811572	C₂²	1	1	yes	characteristic
101	#16811572	C₂²	1	1	yes	characteristic
102	#16811572	C₂²	1	1	yes	characteristic
103	#16811572	C₂²	1	1	yes	characteristic
104	#16811571	C₂²	1	1	yes	characteristic
105	#16811571	C₂²	1	1	yes	characteristic
106	#16811571	C₂²	1	1	yes	characteristic
107	#16811571	C₂²	1	1	yes	characteristic
108	#16811571	C₂²	1	1	yes	characteristic
109	#16811571	C₂²	1	1	yes	characteristic
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811570	C₂²	1	1	yes	characteristic
113	#16811570	C₂²	1	1	yes	characteristic
114	#16811570	C₂²	1	1	yes	characteristic
115	#16811570	C₂²	1	1	yes	characteristic
116	#16811570	C₂²	1	1	yes	characteristic
117	#16811570	C₂²	1	1	yes	characteristic
118	#16811570	C₂²	1	1	yes	characteristic
119	#16811570	C₂²	1	1	yes	characteristic
120	#16811570	C₂²	1	1	yes	characteristic
121	#16811570	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811570	C₂²	1	1	yes	characteristic
125	#16811570	C₂²	1	1	yes	characteristic
126	#16811569	C₂²	1	1	yes	characteristic
127	#16811568	C₂²	1	1	yes	characteristic
128	#16811568	C₂²	1	1	yes	characteristic
129	#16811568	C₂²	1	1	yes	characteristic
130	#16811568	C₂²	1	1	yes	characteristic
131	#16811567	C₂²	1	1	yes	characteristic
132	#16811567	C₂²	1	1	yes	characteristic
133	#16811567	C₂²	1	1	yes	characteristic
134	#16811566	C₂²	1	1	yes	characteristic
135	#16811566	C₂²	1	1	yes	characteristic
136	#16811565	C₂²	1	1	yes	characteristic
137	#16811565	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
148	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
168	#16811559	C₂²	1	1	yes	characteristic
169	#16811559	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
172	#16811247	C₄	1	1	yes	characteristic, complemented
173	#16811246	C₄	1	1	yes	characteristic, complemented
174	#16811245	C₄	1	1	yes	characteristic, complemented
175	#16811244	C₄	1	1	yes	characteristic, complemented
176	#16811243	C₄	1	1	yes	characteristic, complemented
177	#16811243	C₄	1	1	yes	characteristic, complemented
178	#16811242	C₄	1	1	yes	characteristic, complemented
179	#16811241	C₄	1	1	yes	characteristic, complemented
180	#16811241	C₄	1	1	yes	characteristic, complemented
181	#16811240	C₄	1	1	yes	characteristic, complemented
182	#16811239	C₄	1	1	yes	characteristic, complemented
183	#16811239	C₄	1	1	yes	characteristic, complemented
184	#16811238	C₄	1	1	yes	characteristic, complemented
185	#16811237	C₄	1	1	yes	characteristic, complemented
186	#16811237	C₄	1	1	yes	characteristic, complemented
187	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
188	#126×D₅₃	C₂²	1	1	yes	characteristic
189	#126×D₅₃	C₂²	1	1	yes	characteristic
190	#124×D₅₃	C₂²	1	1	yes	characteristic
191	#124×D₅₃	C₂²	1	1	yes	characteristic
192	#124×D₅₃	C₂²	1	1	yes	characteristic
193	#123×D₅₃	C₂²	1	1	yes	characteristic
194	#123×D₅₃	C₂²	1	1	yes	characteristic
195	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
196	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
197	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
198	#121×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic
200	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
201	#117×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#542	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂³×#6157	C₂³	1	1	yes	characteristic
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	Q₈×#6157	—	4	2	no	—
210	Q₈×#6157	—	4	2	no	—
211	D₄×#6157	—	4	2	no	—
212	D₄×#6157	—	4	2	no	—
213	#13133296	—	4	2	no	—
214	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₄×#6157	—	4	2	no	—
255	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
256	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
257	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
258	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
259	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
260	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
261	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
262	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
263	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
264	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
265	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
266	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
267	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
268	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
269	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
270	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
271	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
273	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
275	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
277	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
278	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
279	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
330	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
331	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
332	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
338	#13133217	C₂×C₄	1	1	yes	characteristic, complemented
339	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
340	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
341	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
342	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
343	#13133215	C₂×C₄	1	1	yes	characteristic, complemented
344	#13133215	C₂×C₄	1	1	yes	characteristic, complemented
345	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
346	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
347	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
348	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133192	C₂×C₄	1	1	yes	characteristic
416	#13133191	C₂×C₄	1	1	yes	characteristic
417	#13133190	C₂×C₄	1	1	yes	characteristic
418	#13133190	C₂×C₄	1	1	yes	characteristic
419	#13133189	C₂×C₄	1	1	yes	characteristic
420	#13133189	C₂×C₄	1	1	yes	characteristic
421	#13133188	C₂×C₄	1	1	yes	characteristic
422	Q₈×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
423	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic, complemented
424	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic, complemented
425	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133182	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133182	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133182	C₂×C₄	1	1	yes	characteristic, complemented
429	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
430	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
432	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
433	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
434	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
435	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
436	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
437	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
438	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
439	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
440	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
441	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
442	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
443	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
444	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
445	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
446	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
447	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
448	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
449	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
450	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
451	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
452	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
453	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
454	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
455	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
464	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
465	C₄²×D₅₃	C₂³	1	1	yes	characteristic
466	C₄²×D₅₃	C₂³	1	1	yes	characteristic
467	C₄²×D₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	C₄⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
470	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
471	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
472	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
473	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
474	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
475	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
481	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
485	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
486	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
487	C₂²×#6157	—	2	2	no	—
488	C₂²×#6157	—	2	2	no	—
489	C₂²×#6157	—	2	2	no	—
490	C₂²×#6157	—	4	1	no	—
491	C₂²×#6157	—	4	1	no	—
492	C₂²×#6157	—	4	1	no	—
493	C₂²×#6157	—	4	1	no	—
494	C₂²×#6157	—	4	1	no	—
495	C₂²×#6157	—	4	1	no	—
496	C₂²×#6157	—	4	1	no	—
497	C₂²×#6157	—	4	1	no	—
498	C₂²×#6157	—	4	1	no	—
499	C₂²×#6157	—	4	1	no	—
500	C₂²×#6157	—	4	1	no	—
501	C₂²×#6157	—	4	1	no	—
502	C₂²×#6157	—	4	1	no	—
503	C₂²×#6157	—	4	1	no	—
504	C₂²×#6157	—	4	1	no	—
505	C₂²×#6157	C₂⁴	1	1	yes	characteristic
506	C₂²×#6157	C₂⁴	1	1	yes	characteristic
507	C₂²×#6157	C₂⁴	1	1	yes	characteristic
508	C₂²×#6157	C₂⁴	1	1	yes	characteristic
509	C₂²×#6157	C₂⁴	1	1	yes	characteristic
510	C₂²×#6157	C₂⁴	1	1	yes	characteristic
511	C₂²×#6157	C₂⁴	1	1	yes	characteristic
512	C₂²×#6157	C₂⁴	1	1	yes	characteristic
513	C₂²×#6157	C₂⁴	1	1	yes	characteristic
514	C₂²×#6157	C₂⁴	1	1	yes	characteristic
515	C₂²×#6157	C₂⁴	1	1	yes	characteristic
516	C₂²×#6157	C₂⁴	1	1	yes	characteristic
517	C₂²×#6157	C₂⁴	1	1	yes	characteristic
518	C₂²×#6157	C₂⁴	1	1	yes	characteristic
519	C₂²×#6157	C₂⁴	1	1	yes	characteristic
520	C₂²×#6157	C₂⁴	1	1	yes	characteristic
521	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
522	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
523	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
536	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
537	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
539	Q₈×D₅₃	—	4	1	no	—
540	Q₈×D₅₃	—	4	1	no	—
541	Q₈×D₅₃	—	4	1	no	—
542	Q₈×D₅₃	—	4	1	no	—
543	Q₈×D₅₃	—	4	1	no	—
544	Q₈×D₅₃	—	4	1	no	—
545	D₄×D₅₃	—	4	1	no	—
546	D₄×D₅₃	—	4	1	no	—
547	D₄×D₅₃	—	4	1	no	—
548	D₄×D₅₃	—	4	1	no	—
549	D₄×D₅₃	—	4	1	no	—
550	D₄×D₅₃	—	4	1	no	—
551	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
552	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
553	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₄×D₅₃	—	4	1	no	—
555	C₂×C₄×D₅₃	—	4	1	no	—
556	C₂×C₄×D₅₃	—	4	1	no	—
557	C₂×C₄×D₅₃	—	4	1	no	—
558	C₂×C₄×D₅₃	—	4	1	no	—
559	C₂×C₄×D₅₃	—	4	1	no	—
560	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
579	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
580	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
581	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
582	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
583	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
584	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
585	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
586	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
587	C₂²⋊#6157	—	2	2	no	—
588	C₂²⋊#6157	—	2	2	no	—
589	C₂²⋊#6157	—	2	2	no	—
590	C₂²⋊#6157	—	4	1	no	—
591	C₂²⋊#6157	—	4	1	no	—
592	C₂²⋊#6157	—	4	1	no	—
593	C₂²⋊#6157	—	4	1	no	—
594	C₂²⋊#6157	—	4	1	no	—
595	C₂²⋊#6157	—	4	1	no	—
596	C₂²⋊#6157	—	4	1	no	—
597	C₂²⋊#6157	—	4	1	no	—
598	C₂²⋊#6157	—	4	1	no	—
599	C₂²⋊#6157	—	4	1	no	—
600	C₂²⋊#6157	—	4	1	no	—
601	C₂²⋊#6157	—	4	1	no	—
602	C₂²⋊#6157	—	4	1	no	—
603	C₂²⋊#6157	—	4	1	no	—
604	C₂²⋊#6157	—	4	1	no	—
605	C₄⋊#6157	—	2	2	no	—
606	C₄⋊#6157	—	2	2	no	—
607	C₄⋊#6157	—	2	2	no	—
608	C₄⋊#6157	—	2	2	no	—
609	C₄⋊#6157	—	2	2	no	—
610	C₄⋊#6157	—	4	1	no	—
611	C₄⋊#6157	—	4	1	no	—
612	C₄⋊#6157	—	4	1	no	—
613	C₄⋊#6157	—	4	1	no	—
614	C₄⋊#6157	—	4	1	no	—
615	C₄⋊#6157	—	4	1	no	—
616	C₄⋊#6157	—	4	1	no	—
617	C₄⋊#6157	—	4	1	no	—
618	C₄⋊#6157	—	4	1	no	—
619	C₄⋊#6157	—	4	1	no	—
620	C₄⋊#6157	—	4	1	no	—
621	C₄⋊#6157	—	4	1	no	—
622	C₄⋊#6157	—	4	1	no	—
623	C₄⋊#6157	—	4	1	no	—
624	C₄⋊#6157	—	4	1	no	—
625	C₄⋊#6157	—	4	1	no	—
626	C₄⋊#6157	—	4	1	no	—
627	C₄×#6157	—	2	2	no	—
628	C₄×#6157	—	2	2	no	—
629	C₄×#6157	—	2	2	no	—
630	C₄×#6157	—	4	1	no	—
631	C₄×#6157	—	4	1	no	—
632	C₄×#6157	—	4	1	no	—
633	C₄×#6157	—	4	1	no	—
634	C₄×#6157	—	4	1	no	—
635	C₄×#6157	—	4	1	no	—
636	C₄×#6157	—	4	1	no	—
637	C₄×#6157	—	4	1	no	—
638	C₄×#6157	—	4	1	no	—
639	C₄×#6157	—	4	1	no	—
640	C₄×#6157	—	4	1	no	—
641	C₄×#6157	—	4	1	no	—
642	C₄×#6157	—	4	1	no	—
643	C₄×#6157	—	4	1	no	—
644	C₄×#6157	—	4	1	no	—
645	C₄×#6157	—	4	1	no	—
646	C₄×#6157	—	4	1	no	—
647	C₄×#6157	—	4	1	no	—
648	C₄×#6157	—	4	1	no	—
649	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
651	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
652	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
653	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
654	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
655	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
656	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
657	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
658	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
671	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
672	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
673	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
674	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
675	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
676	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
677	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
687	#11719921	C₂²×C₄	1	1	yes	characteristic
688	#11719921	C₂²×C₄	1	1	yes	characteristic
689	#11719921	C₂²×C₄	1	1	yes	characteristic
690	#11719921	C₂²×C₄	1	1	yes	characteristic
691	#11719921	C₂²×C₄	1	1	yes	characteristic
692	#11719921	C₂²×C₄	1	1	yes	characteristic
693	#11719921	C₂²×C₄	1	1	yes	characteristic
694	#11719921	C₂²×C₄	1	1	yes	characteristic
695	#11719921	C₂²×C₄	1	1	yes	characteristic
696	#11719921	C₂²×C₄	1	1	yes	characteristic
697	#11719921	C₂²×C₄	1	1	yes	characteristic
698	#11719921	C₂²×C₄	1	1	yes	characteristic
699	#11719921	C₂²×C₄	1	1	yes	characteristic
700	#11719921	C₂²×C₄	1	1	yes	characteristic
701	#11719921	C₂²×C₄	1	1	yes	characteristic
702	#11719921	C₂²×C₄	1	1	yes	characteristic
703	#11719921	C₂²×C₄	1	1	yes	characteristic
704	#11719921	C₂²×C₄	1	1	yes	characteristic
705	#11719921	C₂²×C₄	1	1	yes	characteristic
706	#11719921	C₂²×C₄	1	1	yes	characteristic
707	#11719921	C₂²×C₄	1	1	yes	characteristic
708	#11719921	C₂²×C₄	1	1	yes	characteristic
709	#11719921	C₂²×C₄	1	1	yes	characteristic
710	#11719921	C₂²×C₄	1	1	yes	characteristic
711	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
712	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
713	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
714	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
715	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
716	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
717	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
718	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
719	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
720	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
721	#11719919	C₂²×C₄	1	1	yes	characteristic
722	#11719919	C₂²×C₄	1	1	yes	characteristic
723	#11719919	C₂²×C₄	1	1	yes	characteristic
724	#11719919	C₂²×C₄	1	1	yes	characteristic
725	#11719919	C₂²×C₄	1	1	yes	characteristic
726	#11719919	C₂²×C₄	1	1	yes	characteristic
727	#11719919	C₂²×C₄	1	1	yes	characteristic
728	#11719919	C₂²×C₄	1	1	yes	characteristic
729	#11719919	C₂²×C₄	1	1	yes	characteristic
730	#11719919	C₂²×C₄	1	1	yes	characteristic
731	#11719919	C₂²×C₄	1	1	yes	characteristic
732	#11719919	C₂²×C₄	1	1	yes	characteristic
733	#11719919	C₂²×C₄	1	1	yes	characteristic
734	#11719919	C₂²×C₄	1	1	yes	characteristic
735	#11719919	C₂²×C₄	1	1	yes	characteristic
736	#11719919	C₂²×C₄	1	1	yes	characteristic
737	#11719919	C₂²×C₄	1	1	yes	characteristic
738	#11719919	C₂²×C₄	1	1	yes	characteristic
739	#11719919	C₂²×C₄	1	1	yes	characteristic
740	#11719919	C₂²×C₄	1	1	yes	characteristic
741	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
742	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
743	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
744	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
745	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
746	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
747	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
748	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
749	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
750	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
751	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
752	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
753	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
754	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
755	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
756	C₂²×D₅₃	—	2	1	no	—
757	C₂²×D₅₃	—	2	1	no	—
758	C₂²×D₅₃	—	2	1	no	—
759	C₂²×D₅₃	—	2	1	no	—
760	C₂²×D₅₃	—	2	1	no	—
761	C₂²×D₅₃	—	2	1	no	—
762	C₂²×D₅₃	—	2	1	no	—
763	C₂²×D₅₃	—	2	1	no	—
764	C₂²×D₅₃	—	2	1	no	—
765	C₂²×D₅₃	—	2	1	no	—
766	C₂²×D₅₃	—	2	1	no	—
767	C₂²×D₅₃	—	2	1	no	—
768	C₂²×D₅₃	—	2	1	no	—
769	C₂²×D₅₃	—	2	1	no	—
770	C₂²×D₅₃	—	2	1	no	—
771	C₂²×D₅₃	—	2	1	no	—
772	C₂²×D₅₃	—	2	1	no	—
773	C₂²×D₅₃	—	2	1	no	—
774	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
775	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
776	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
777	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
778	C₂×#6157	—	2	1	no	—
779	C₂×#6157	—	2	1	no	—
780	C₂×#6157	—	2	1	no	—
781	C₂×#6157	—	2	1	no	—
782	C₂×#6157	—	2	1	no	—
783	C₂×#6157	—	2	1	no	—
784	C₂×#6157	—	2	1	no	—
785	C₂×#6157	—	2	1	no	—
786	C₂×#6157	—	2	1	no	—
787	C₂×#6157	—	2	1	no	—
788	C₂×#6157	—	2	1	no	—
789	C₂×#6157	—	2	1	no	—
790	C₂×#6157	—	2	1	no	—
791	C₂×#6157	—	2	1	no	—
792	C₂×#6157	—	2	1	no	—
793	C₂×#6157	—	2	1	no	—
794	C₂×#6157	—	2	1	no	—
795	C₂×#6157	—	2	1	no	—
796	C₂×#6157	—	2	1	no	—
797	C₂×#6157	—	2	1	no	—
798	C₂×#6157	—	2	1	no	—
799	C₂×#6157	—	2	1	no	—
800	C₂×#6157	—	2	1	no	—
801	C₂×#6157	—	2	1	no	—
802	C₂×#6157	—	2	1	no	—
803	C₂×#6157	—	2	1	no	—
804	C₂×#6157	—	2	1	no	—
805	C₂×#6157	—	2	1	no	—
806	C₂×#6157	—	2	1	no	—
807	C₂×#6157	—	2	1	no	—
808	C₂×#6157	—	2	1	no	—
809	C₂×#6157	—	2	1	no	—
810	C₂×#6157	—	2	1	no	—
811	C₂×#6157	—	2	1	no	—
812	C₂×#6157	—	2	1	no	—
813	C₂×#6157	—	2	1	no	—
814	C₂×#6157	—	2	1	no	—
815	C₂×#6157	—	2	1	no	—
816	C₂×#6157	—	2	1	no	—
817	C₂×#6157	—	2	1	no	—
818	C₂×#6157	—	2	1	no	—
819	C₂×#6157	—	2	1	no	—
820	C₂×#6157	—	2	1	no	—
821	C₂×#6157	—	2	1	no	—
822	C₂×#6157	—	2	1	no	—
823	C₂×#6157	—	2	1	no	—
824	C₂×#6157	—	4	4	no	—
825	C₂×#6157	—	4	4	no	—
826	C₂×#6157	—	8	2	no	—
827	C₂×#6157	—	8	2	no	—
828	C₂×#6157	—	8	2	no	—
829	C₂×#6157	—	8	2	no	—
830	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
831	C₂×#6157	2₋¹⁺⁴	1	2	yes	—
832	Q₈×C₅₃	—	4	1	no	—
833	Q₈×C₅₃	—	4	1	no	—
834	Q₈×C₅₃	—	4	1	no	—
835	D₄×C₅₃	—	4	1	no	—
836	D₄×C₅₃	—	4	1	no	—
837	D₄×C₅₃	—	4	1	no	—
838	C₂×C₄×C₅₃	—	4	1	no	—
839	C₂×C₄×C₅₃	—	4	1	no	—
840	C₂×C₄×C₅₃	—	4	1	no	—
841	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
842	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
843	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
844	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
845	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
846	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
847	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
848	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
849	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
850	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
851	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
852	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
853	C₂²⋊D₅₃	—	4	1	no	—
854	C₂²⋊D₅₃	—	4	1	no	—
855	C₂²⋊D₅₃	—	4	1	no	—
856	C₂²⋊D₅₃	—	4	1	no	—
857	C₂²⋊D₅₃	—	4	1	no	—
858	C₂²⋊D₅₃	—	4	1	no	—
859	C₂×Dic₅₃	—	4	1	no	—
860	C₂×Dic₅₃	—	4	1	no	—
861	C₂×Dic₅₃	—	4	1	no	—
862	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
863	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
864	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
865	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
866	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
867	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
868	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
869	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
870	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
871	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
872	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
873	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
874	D₂₁₂	—	4	1	no	—
875	D₂₁₂	—	4	1	no	—
876	D₂₁₂	—	4	1	no	—
877	C₄×D₅₃	—	2	1	no	—
878	C₄×D₅₃	—	2	1	no	—
879	C₄×D₅₃	—	2	1	no	—
880	C₄×D₅₃	—	2	1	no	—
881	C₄×D₅₃	—	2	1	no	—
882	C₄×D₅₃	—	2	1	no	—
883	C₄×D₅₃	—	2	1	no	—
884	C₄×D₅₃	—	2	1	no	—
885	C₄×D₅₃	—	2	1	no	—
886	C₄×D₅₃	—	2	1	no	—
887	C₄×D₅₃	—	2	1	no	—
888	C₄×D₅₃	—	2	1	no	—
889	C₄×D₅₃	—	2	1	no	—
890	C₄×D₅₃	—	2	1	no	—
891	C₄×D₅₃	—	2	1	no	—
892	C₄×D₅₃	—	2	1	no	—
893	C₄×D₅₃	—	2	1	no	—
894	C₄×D₅₃	—	2	1	no	—
895	C₄×D₅₃	—	2	1	no	—
896	C₄×D₅₃	—	2	1	no	—
897	C₄×D₅₃	—	2	1	no	—
898	C₄×D₅₃	—	2	1	no	—
899	C₄×D₅₃	—	2	1	no	—
900	C₄×D₅₃	—	2	1	no	—
901	C₄×D₅₃	—	4	1	no	—
902	C₄×D₅₃	—	4	1	no	—
903	C₄×D₅₃	—	4	1	no	—
904	C₄×D₅₃	—	4	1	no	—
905	C₄×D₅₃	—	4	1	no	—
906	C₄×D₅₃	—	4	1	no	—
907	Dic₁₀₆	—	4	1	no	—
908	Dic₁₀₆	—	4	1	no	—
909	Dic₁₀₆	—	4	1	no	—
910	Dic₁₀₆	—	4	1	no	—
911	Dic₁₀₆	—	4	1	no	—
912	Dic₁₀₆	—	4	1	no	—
913	Dic₁₀₆	—	4	1	no	—
914	Dic₁₀₆	—	4	1	no	—
915	Dic₁₀₆	—	4	1	no	—
916	#34448	—	53	1	no	maximal, Sylow
917	C₂²×C₅₃	—	2	1	no	—
918	C₂²×C₅₃	—	2	1	no	—
919	C₂²×C₅₃	—	2	1	no	—
920	C₂²×C₅₃	—	2	1	no	—
921	C₂²×C₅₃	—	2	1	no	—
922	C₂²×C₅₃	—	2	1	no	—
923	C₂²×C₅₃	—	2	1	no	—
924	C₂²×C₅₃	—	2	1	no	—
925	C₂²×C₅₃	—	2	1	no	—
926	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
927	C₂×D₅₃	—	2	1	no	—
928	C₂×D₅₃	—	2	1	no	—
929	C₂×D₅₃	—	2	1	no	—
930	C₂×D₅₃	—	2	1	no	—
931	C₂×D₅₃	—	2	1	no	—
932	C₂×D₅₃	—	2	1	no	—
933	C₂×D₅₃	—	2	1	no	—
934	C₂×D₅₃	—	2	1	no	—
935	C₂×D₅₃	—	2	1	no	—
936	C₂×D₅₃	—	4	1	no	—
937	C₂×D₅₃	—	4	1	no	—
938	C₂×D₅₃	—	4	1	no	—
939	C₂×D₅₃	—	4	1	no	—
940	C₂×D₅₃	—	4	1	no	—
941	C₂×D₅₃	—	4	1	no	—
942	C₂×D₅₃	—	4	1	no	—
943	C₂×D₅₃	—	4	1	no	—
944	C₂×D₅₃	—	4	1	no	—
945	C₂×D₅₃	—	4	1	no	—
946	C₂×D₅₃	—	4	1	no	—
947	C₂×D₅₃	—	4	1	no	—
948	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
949	C₂×D₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
950	C₂×D₅₃	#585	1	1	yes	characteristic
951	C₂×D₅₃	#585	1	1	yes	characteristic
952	C₂×D₅₃	#585	1	1	yes	characteristic
953	C₂×D₅₃	#585	1	1	yes	characteristic
954	#6157	—	2	2	no	—
955	#6157	—	2	2	no	—
956	#6157	—	4	1	no	—
957	#6157	—	4	1	no	—
958	#6157	—	4	1	no	—
959	#6157	—	4	1	no	—
960	#6157	—	4	1	no	—
961	#6157	—	4	1	no	—
962	#6157	—	4	1	no	—
963	#6157	—	4	1	no	—
964	#6157	—	4	1	no	—
965	#6157	—	4	1	no	—
966	#6157	—	4	1	no	—
967	#6157	—	4	1	no	—
968	#6157	—	4	1	no	—
969	#6157	—	4	1	no	—
970	C₄×C₅₃	—	2	1	no	—
971	C₄×C₅₃	—	2	1	no	—
972	C₄×C₅₃	—	2	1	no	—
973	C₄×C₅₃	—	2	1	no	—
974	C₄×C₅₃	—	2	1	no	—
975	C₄×C₅₃	—	2	1	no	—
976	C₄×C₅₃	—	2	1	no	—
977	C₄×C₅₃	—	2	1	no	—
978	C₄×C₅₃	—	2	1	no	—
979	C₄×C₅₃	—	2	1	no	—
980	C₄×C₅₃	—	2	1	no	—
981	C₄×C₅₃	—	2	1	no	—
982	Dic₅₃	—	2	1	no	—
983	Dic₅₃	—	2	1	no	—
984	Dic₅₃	—	2	1	no	—
985	Dic₅₃	—	2	1	no	—
986	Dic₅₃	—	2	1	no	—
987	Dic₅₃	—	2	1	no	—
988	Dic₅₃	—	2	1	no	—
989	Dic₅₃	—	2	1	no	—
990	Dic₅₃	—	2	1	no	—
991	Dic₅₃	—	2	1	no	—
992	Dic₅₃	—	2	1	no	—
993	Dic₅₃	—	2	1	no	—
994	C₂×#542	—	53	1	no	—
995	#2383	—	53	1	no	—
996	#2381	—	53	1	no	—
997	#2379	—	53	1	no	—
998	#2378	—	53	1	no	—
999	#2374	—	53	1	no	—
1000	#2373	—	53	1	no	—
1001	#2368	—	53	1	no	—
1002	#2368	—	53	1	no	—
1003	#2367	—	53	1	no	—
1004	#2365	—	53	1	no	—
1005	#2362	—	53	1	no	—
1006	#2359	—	53	1	no	—
1007	#2356	—	53	1	no	—
1008	#2355	—	53	1	no	—
1009	#2347	—	53	1	no	—
1010	#2343	—	53	1	no	—
1011	#2337	—	53	1	no	—
1012	#2337	—	53	1	no	—
1013	#2337	—	53	1	no	—
1014	#2335	—	53	1	no	—
1015	#2334	—	53	1	no	—
1016	#2334	—	53	1	no	—
1017	#2333	—	53	1	no	—
1018	#2332	—	53	1	no	—
1019	#2326	—	53	1	no	—
1020	#2325	—	53	1	no	—
1021	#2318	—	53	1	no	—
1022	C₄×C₂²⋊Q₈	—	53	1	no	—
1023	C₄×#123	—	53	1	no	—
1024	#2290	—	53	1	no	—
1025	C₂×C₅₃	—	4	1	no	—
1026	C₂×C₅₃	—	4	1	no	—
1027	C₂×C₅₃	—	4	1	no	—
1028	C₂×C₅₃	#3428	1	1	yes	characteristic
1029	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1030	C₂×C₅₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1031	D₅₃	—	4	1	no	—
1032	D₅₃	—	4	1	no	—
1033	D₅₃	—	4	1	no	—
1034	D₅₃	#3533	1	1	yes	characteristic
1035	D₅₃	#3541	1	1	yes	characteristic
1036	D₅₃	#3557	1	1	yes	characteristic
1037	D₅₃	#3568	1	1	yes	characteristic
1038	#542	—	53	1	no	—
1039	#542	—	53	1	no	—
1040	#542	—	53	1	no	—
1041	#542	—	53	1	no	—
1042	#542	—	53	1	no	—
1043	#542	—	53	1	no	—
1044	#542	—	53	1	no	—
1045	#542	—	53	1	no	—
1046	#542	—	53	1	no	—
1047	#542	—	53	1	no	—
1048	#542	—	53	1	no	—
1049	#542	—	53	1	no	—
1050	#542	—	53	1	no	—
1051	#542	—	53	1	no	—
1052	#542	—	53	1	no	—
1053	#542	#6157	1	1	yes	characteristic, complemented
1054	C₂×C₄⋊Q₈	—	53	1	no	—
1055	C₂×#126	—	53	1	no	—
1056	C₂×#126	—	53	1	no	—
1057	C₂×#124	—	53	1	no	—
1058	C₂×#124	—	53	1	no	—
1059	C₂×#124	—	53	1	no	—
1060	C₂×#123	—	53	1	no	—
1061	C₂×#123	—	53	1	no	—
1062	C₂×C₂²⋊Q₈	—	53	1	no	—
1063	C₂×C₂²⋊Q₈	—	53	1	no	—
1064	C₂×C₂²⋊Q₈	—	53	1	no	—
1065	C₂×#121	—	53	1	no	—
1066	C₂×C₄×Q₈	—	53	1	no	—
1067	C₂×C₄×Q₈	—	53	1	no	—
1068	C₂×C₄×Q₈	—	53	1	no	—
1069	C₂×C₄×D₄	—	53	1	no	—
1070	C₂×C₄×D₄	—	53	1	no	—
1071	C₂×C₄×D₄	—	53	1	no	—
1072	C₂×#117	—	53	1	no	—
1073	C₂×#117	—	53	1	no	—
1074	C₂²×C₄²	—	53	1	no	—
1075	#391	—	53	1	no	—
1076	#391	—	53	1	no	—
1077	#391	—	53	1	no	—
1078	#391	—	53	1	no	—
1079	#391	—	53	1	no	—
1080	#391	—	53	1	no	—
1081	#391	—	53	1	no	—
1082	#391	—	53	1	no	—
1083	#391	—	53	1	no	—
1084	#391	—	53	1	no	—
1085	#390	—	53	1	no	—
1086	#390	—	53	1	no	—
1087	#389	—	53	1	no	—
1088	#389	—	53	1	no	—
1089	#389	—	53	1	no	—
1090	#389	—	53	1	no	—
1091	#389	—	53	1	no	—
1092	#389	—	53	1	no	—
1093	#388	—	53	1	no	—
1094	#388	—	53	1	no	—
1095	#388	—	53	1	no	—
1096	#388	—	53	1	no	—
1097	#388	—	53	1	no	—
1098	#388	—	53	1	no	—
1099	#388	—	53	1	no	—
1100	#388	—	53	1	no	—
1101	#388	—	53	1	no	—
1102	#388	—	53	1	no	—
1103	#388	—	53	1	no	—
1104	#388	—	53	1	no	—
1105	#388	—	53	1	no	—
1106	#388	—	53	1	no	—
1107	#388	—	53	1	no	—
1108	#388	—	53	1	no	—
1109	#388	—	53	1	no	—
1110	#388	—	53	1	no	—
1111	#388	—	53	1	no	—
1112	#388	—	53	1	no	—
1113	#388	—	53	1	no	—
1114	#388	—	53	1	no	—
1115	#388	—	53	1	no	—
1116	#388	—	53	1	no	—
1117	#387	—	53	1	no	—
1118	#387	—	53	1	no	—
1119	#387	—	53	1	no	—
1120	#387	—	53	1	no	—
1121	#387	—	53	1	no	—
1122	#387	—	53	1	no	—
1123	#387	—	53	1	no	—
1124	#387	—	53	1	no	—
1125	#387	—	53	1	no	—
1126	#387	—	53	1	no	—
1127	#387	—	53	1	no	—
1128	#387	—	53	1	no	—
1129	#387	—	53	1	no	—
1130	#387	—	53	1	no	—
1131	#387	—	53	1	no	—
1132	#387	—	53	1	no	—
1133	#387	—	53	1	no	—
1134	#387	—	53	1	no	—
1135	#387	—	53	1	no	—
1136	#387	—	53	1	no	—
1137	#387	—	53	1	no	—
1138	#387	—	53	1	no	—
1139	#387	—	53	1	no	—
1140	#387	—	53	1	no	—
1141	#386	—	53	1	no	—
1142	#386	—	53	1	no	—
1143	#386	—	53	1	no	—
1144	#386	—	53	1	no	—
1145	#386	—	53	1	no	—
1146	#386	—	53	1	no	—
1147	#386	—	53	1	no	—
1148	#386	—	53	1	no	—
1149	#385	—	53	1	no	—
1150	#385	—	53	1	no	—
1151	#385	—	53	1	no	—
1152	#385	—	53	1	no	—
1153	#385	—	53	1	no	—
1154	#385	—	53	1	no	—
1155	#385	—	53	1	no	—
1156	#385	—	53	1	no	—
1157	#385	—	53	1	no	—
1158	#385	—	53	1	no	—
1159	#385	—	53	1	no	—
1160	#385	—	53	1	no	—
1161	#385	—	53	1	no	—
1162	#385	—	53	1	no	—
1163	#384	—	53	1	no	—
1164	#383	—	53	1	no	—
1165	#383	—	53	1	no	—
1166	#383	—	53	1	no	—
1167	#383	—	53	1	no	—
1168	#382	—	53	1	no	—
1169	#382	—	53	1	no	—
1170	#382	—	53	1	no	—
1171	#381	—	53	1	no	—
1172	#381	—	53	1	no	—
1173	#380	—	53	1	no	—
1174	#380	—	53	1	no	—
1175	C₄×C₄⋊C₄	—	53	1	no	—
1176	C₄×C₄⋊C₄	—	53	1	no	—
1177	C₄×C₄⋊C₄	—	53	1	no	—
1178	C₄×C₄⋊C₄	—	53	1	no	—
1179	C₄×C₄⋊C₄	—	53	1	no	—
1180	C₄×C₄⋊C₄	—	53	1	no	—
1181	C₄×C₄⋊C₄	—	53	1	no	—
1182	C₄×C₄⋊C₄	—	53	1	no	—
1183	C₄×C₄⋊C₄	—	53	1	no	—
1184	C₄×C₄⋊C₄	—	53	1	no	—
1185	C₄×C₄⋊C₄	—	53	1	no	—
1186	C₄×C₄⋊C₄	—	53	1	no	—
1187	C₄×C₄⋊C₄	—	53	1	no	—
1188	C₄×C₄⋊C₄	—	53	1	no	—
1189	C₄×C₄⋊C₄	—	53	1	no	—
1190	C₄×C₄⋊C₄	—	53	1	no	—
1191	C₄×C₂²⋊C₄	—	53	1	no	—
1192	C₄×C₂²⋊C₄	—	53	1	no	—
1193	C₄×C₂²⋊C₄	—	53	1	no	—
1194	C₄×C₂²⋊C₄	—	53	1	no	—
1195	C₄×C₂²⋊C₄	—	53	1	no	—
1196	C₄×C₂²⋊C₄	—	53	1	no	—
1197	C₄×C₂²⋊C₄	—	53	1	no	—
1198	C₄×C₂²⋊C₄	—	53	1	no	—
1199	C₄×C₂²⋊C₄	—	53	1	no	—
1200	C₄×C₂²⋊C₄	—	53	1	no	—
1201	C₄×C₂²⋊C₄	—	53	1	no	—
1202	C₄×C₂²⋊C₄	—	53	1	no	—
1203	C₄×C₂²⋊C₄	—	53	1	no	—
1204	C₄×C₂²⋊C₄	—	53	1	no	—
1205	#376	—	53	1	no	—
1206	#376	—	53	1	no	—
1207	C₂×#95	—	53	1	no	—
1208	C₂×#95	—	53	1	no	—
1209	C₅₃	#34448	1	1	yes	characteristic, complemented, Sylow
1210	C₂²×Q₈	—	53	1	no	—
1211	C₂²×Q₈	—	53	1	no	—
1212	C₂²×Q₈	—	53	1	no	—
1213	C₂²×D₄	—	53	1	no	—
1214	C₂²×D₄	—	53	1	no	—
1215	C₂²×D₄	—	53	1	no	—
1216	C₂³×C₄	—	53	1	no	—
1217	C₂³×C₄	—	53	1	no	—
1218	C₂³×C₄	—	53	1	no	—
1219	C₂³×C₄	—	53	1	no	—
1220	C₂³×C₄	—	53	1	no	—
1221	C₂³×C₄	—	53	1	no	—
1222	C₂³×C₄	—	53	1	no	—
1223	C₂³×C₄	—	53	1	no	—
1224	C₂³×C₄	—	53	1	no	—
1225	C₄⋊Q₈	—	53	1	no	—
1226	C₄⋊Q₈	—	53	1	no	—
1227	C₄⋊Q₈	—	53	1	no	—
1228	C₄⋊Q₈	—	53	1	no	—
1229	C₄⋊Q₈	—	53	1	no	—
1230	C₄⋊Q₈	—	53	1	no	—
1231	C₄⋊Q₈	—	53	1	no	—
1232	C₄⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1233	#126	—	53	1	no	—
1234	#126	—	53	1	no	—
1235	#126	—	53	1	no	—
1236	#126	—	53	1	no	—
1237	#126	—	53	1	no	—
1238	#126	—	53	1	no	—
1239	#126	—	53	1	no	—
1240	#126	—	53	1	no	—
1241	#126	—	53	1	no	—
1242	#126	—	53	1	no	—
1243	#126	—	53	1	no	—
1244	#126	—	53	1	no	—
1245	#126	—	53	1	no	—
1246	#126	—	53	1	no	—
1247	#126	C₂×#6157	1	1	yes	characteristic, complemented
1248	#126	C₂×#6157	1	1	yes	characteristic, complemented
1249	#124	—	53	1	no	—
1250	#124	—	53	1	no	—
1251	#124	—	53	1	no	—
1252	#124	—	53	1	no	—
1253	#124	—	53	1	no	—
1254	#124	—	53	1	no	—
1255	#124	—	53	1	no	—
1256	#124	—	53	1	no	—
1257	#124	—	53	1	no	—
1258	#124	—	53	1	no	—
1259	#124	—	53	1	no	—
1260	#124	—	53	1	no	—
1261	#124	—	53	1	no	—
1262	#124	—	53	1	no	—
1263	#124	—	53	1	no	—
1264	#124	—	53	1	no	—
1265	#124	—	53	1	no	—
1266	#124	—	53	1	no	—
1267	#124	—	53	1	no	—
1268	#124	—	53	1	no	—
1269	#124	—	53	1	no	—
1270	#124	C₂×#6157	1	1	yes	characteristic, complemented
1271	#124	C₂×#6157	1	1	yes	characteristic, complemented
1272	#124	C₂×#6157	1	1	yes	characteristic, complemented
1273	#123	—	53	1	no	—
1274	#123	—	53	1	no	—
1275	#123	—	53	1	no	—
1276	#123	—	53	1	no	—
1277	#123	—	53	1	no	—
1278	#123	—	53	1	no	—
1279	#123	—	53	1	no	—
1280	#123	—	53	1	no	—
1281	#123	—	53	1	no	—
1282	#123	—	53	1	no	—
1283	#123	—	53	1	no	—
1284	#123	—	53	1	no	—
1285	#123	—	53	1	no	—
1286	#123	—	53	1	no	—
1287	#123	C₂×#6157	1	1	yes	characteristic, complemented
1288	#123	C₂×#6157	1	1	yes	characteristic, complemented
1289	C₂²⋊Q₈	—	53	1	no	—
1290	C₂²⋊Q₈	—	53	1	no	—
1291	C₂²⋊Q₈	—	53	1	no	—
1292	C₂²⋊Q₈	—	53	1	no	—
1293	C₂²⋊Q₈	—	53	1	no	—
1294	C₂²⋊Q₈	—	53	1	no	—
1295	C₂²⋊Q₈	—	53	1	no	—
1296	C₂²⋊Q₈	—	53	1	no	—
1297	C₂²⋊Q₈	—	53	1	no	—
1298	C₂²⋊Q₈	—	53	1	no	—
1299	C₂²⋊Q₈	—	53	1	no	—
1300	C₂²⋊Q₈	—	53	1	no	—
1301	C₂²⋊Q₈	—	53	1	no	—
1302	C₂²⋊Q₈	—	53	1	no	—
1303	C₂²⋊Q₈	—	53	1	no	—
1304	C₂²⋊Q₈	—	53	1	no	—
1305	C₂²⋊Q₈	—	53	1	no	—
1306	C₂²⋊Q₈	—	53	1	no	—
1307	C₂²⋊Q₈	—	53	1	no	—
1308	C₂²⋊Q₈	—	53	1	no	—
1309	C₂²⋊Q₈	—	53	1	no	—
1310	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1311	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1312	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1313	#121	—	53	1	no	—
1314	#121	—	53	1	no	—
1315	#121	—	53	1	no	—
1316	#121	—	53	1	no	—
1317	#121	—	53	1	no	—
1318	#121	—	53	1	no	—
1319	#121	—	53	1	no	—
1320	#121	C₂×#6157	1	1	yes	characteristic
1321	C₄×Q₈	—	53	1	no	—
1322	C₄×Q₈	—	53	1	no	—
1323	C₄×Q₈	—	53	1	no	—
1324	C₄×Q₈	—	53	1	no	—
1325	C₄×Q₈	—	53	1	no	—
1326	C₄×Q₈	—	53	1	no	—
1327	C₄×Q₈	—	53	1	no	—
1328	C₄×Q₈	—	212	2	no	—
1329	C₄×Q₈	—	212	2	no	—
1330	C₄×Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1331	C₄×D₄	—	53	1	no	—
1332	C₄×D₄	—	53	1	no	—
1333	C₄×D₄	—	53	1	no	—
1334	C₄×D₄	—	53	1	no	—
1335	C₄×D₄	—	53	1	no	—
1336	C₄×D₄	—	53	1	no	—
1337	C₄×D₄	—	53	1	no	—
1338	C₄×D₄	—	212	2	no	—
1339	C₄×D₄	—	212	2	no	—
1340	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1341	#117	—	53	1	no	—
1342	#117	—	53	1	no	—
1343	#117	—	53	1	no	—
1344	#117	—	53	1	no	—
1345	#117	—	53	1	no	—
1346	#117	—	53	1	no	—
1347	#117	—	53	1	no	—
1348	#117	—	212	2	no	—
1349	#117	C₂×#6157	1	1	yes	characteristic, complemented
1350	C₂×C₄⋊C₄	—	53	1	no	—
1351	C₂×C₄⋊C₄	—	53	1	no	—
1352	C₂×C₄⋊C₄	—	53	1	no	—
1353	C₂×C₄⋊C₄	—	53	1	no	—
1354	C₂×C₄⋊C₄	—	53	1	no	—
1355	C₂×C₄⋊C₄	—	53	1	no	—
1356	C₂×C₄⋊C₄	—	53	1	no	—
1357	C₂×C₄⋊C₄	—	53	1	no	—
1358	C₂×C₄⋊C₄	—	53	1	no	—
1359	C₂×C₄⋊C₄	—	53	1	no	—
1360	C₂×C₄⋊C₄	—	53	1	no	—
1361	C₂×C₄⋊C₄	—	53	1	no	—
1362	C₂×C₄⋊C₄	—	53	1	no	—
1363	C₂×C₄⋊C₄	—	53	1	no	—
1364	C₂×C₄⋊C₄	—	53	1	no	—
1365	C₂×C₄⋊C₄	—	53	1	no	—
1366	C₂×C₄⋊C₄	—	53	1	no	—
1367	C₂×C₄⋊C₄	—	53	1	no	—
1368	C₂×C₄⋊C₄	—	53	1	no	—
1369	C₂×C₄⋊C₄	—	53	1	no	—
1370	C₂×C₄⋊C₄	—	53	1	no	—
1371	C₂×C₄⋊C₄	—	53	1	no	—
1372	C₂×C₄⋊C₄	—	53	1	no	—
1373	C₂×C₄⋊C₄	—	53	1	no	—
1374	C₂×C₄⋊C₄	—	53	1	no	—
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₄⋊C₄	—	53	1	no	—
1379	C₂×C₄⋊C₄	—	53	1	no	—
1380	C₂×C₄⋊C₄	—	53	1	no	—
1381	C₂×C₄⋊C₄	—	53	1	no	—
1382	C₂×C₂²⋊C₄	—	53	1	no	—
1383	C₂×C₂²⋊C₄	—	53	1	no	—
1384	C₂×C₂²⋊C₄	—	53	1	no	—
1385	C₂×C₂²⋊C₄	—	53	1	no	—
1386	C₂×C₂²⋊C₄	—	53	1	no	—
1387	C₂×C₂²⋊C₄	—	53	1	no	—
1388	C₂×C₂²⋊C₄	—	53	1	no	—
1389	C₂×C₂²⋊C₄	—	53	1	no	—
1390	C₂×C₂²⋊C₄	—	53	1	no	—
1391	C₂×C₂²⋊C₄	—	53	1	no	—
1392	C₂×C₂²⋊C₄	—	53	1	no	—
1393	C₂×C₂²⋊C₄	—	53	1	no	—
1394	C₂×C₂²⋊C₄	—	53	1	no	—
1395	C₂×C₂²⋊C₄	—	53	1	no	—
1396	C₂×C₂²⋊C₄	—	53	1	no	—
1397	C₂×C₂²⋊C₄	—	53	1	no	—
1398	C₂×C₂²⋊C₄	—	53	1	no	—
1399	C₂×C₂²⋊C₄	—	53	1	no	—
1400	C₂×C₂²⋊C₄	—	53	1	no	—
1401	C₂×C₂²⋊C₄	—	53	1	no	—
1402	C₂×C₂²⋊C₄	—	53	1	no	—
1403	C₂×C₂²⋊C₄	—	53	1	no	—
1404	C₂×C₂²⋊C₄	—	53	1	no	—
1405	C₂×C₂²⋊C₄	—	53	1	no	—
1406	C₂×C₂²⋊C₄	—	53	1	no	—
1407	C₂×C₂²⋊C₄	—	53	1	no	—
1408	C₂×C₂²⋊C₄	—	53	1	no	—
1409	C₂×C₂²⋊C₄	—	53	1	no	—
1410	C₂×C₂²⋊C₄	—	53	1	no	—
1411	C₂×C₂²⋊C₄	—	53	1	no	—
1412	C₂×C₄²	—	53	1	no	—
1413	C₂×C₄²	—	53	1	no	—
1414	C₂×C₄²	—	53	1	no	—
1415	C₂×C₄²	—	53	1	no	—
1416	C₂×C₄²	—	53	1	no	—
1417	C₂×C₄²	—	53	1	no	—
1418	C₂×C₄²	—	53	1	no	—
1419	C₂×C₄²	—	53	1	no	—
1420	C₂×C₄²	—	53	1	no	—
1421	C₂×C₄²	—	53	1	no	—
1422	C₂×C₄²	—	53	1	no	—
1423	C₂×C₄²	—	53	1	no	—
1424	C₂×C₄²	—	53	1	no	—
1425	C₂×C₄²	—	53	1	no	—
1426	C₂×C₄²	—	53	1	no	—
1427	C₂×C₄²	—	53	1	no	—
1428	C₂×C₄²	—	53	1	no	—
1429	C₂×C₄²	—	53	1	no	—
1430	C₂×C₄²	—	53	1	no	—
1431	C₂×C₄²	—	53	1	no	—
1432	C₂×C₄²	—	53	1	no	—
1433	C₂×C₄²	—	53	1	no	—
1434	C₂×C₄²	—	53	1	no	—
1435	C₂×C₄²	—	53	1	no	—
1436	C₂×C₄²	—	53	1	no	—
1437	C₂×C₄²	—	53	1	no	—
1438	C₂×C₄²	—	212	2	no	—
1439	#95	—	53	1	no	—
1440	#95	—	53	1	no	—
1441	#95	—	53	1	no	—
1442	#95	—	53	1	no	—
1443	#95	—	53	1	no	—
1444	#95	—	53	1	no	—
1445	#95	—	53	1	no	—
1446	#95	—	53	1	no	—
1447	#95	—	53	1	no	—
1448	#95	—	53	1	no	—
1449	#95	—	53	1	no	—
1450	#95	—	53	1	no	—
1451	#95	—	53	1	no	—
1452	#95	—	53	1	no	—
1453	#95	—	53	1	no	—
1454	#95	—	53	1	no	—
1455	#95	—	53	1	no	—
1456	#95	—	53	1	no	—
1457	#95	—	53	1	no	—
1458	#95	—	53	1	no	—
1459	#95	—	53	1	no	—
1460	#95	—	53	1	no	—
1461	#95	—	53	1	no	—
1462	#95	—	53	1	no	—
1463	#95	—	53	1	no	—
1464	#95	—	53	1	no	—
1465	#95	—	53	1	no	—
1466	#95	—	53	1	no	—
1467	#95	—	53	1	no	—
1468	#95	—	53	1	no	—
1469	#95	—	53	1	no	—
1470	#95	—	53	1	no	—
1471	#95	—	53	1	no	—
1472	#95	—	53	1	no	—
1473	#95	—	53	1	no	—
1474	#95	—	53	1	no	—
1475	#95	—	53	1	no	—
1476	#95	—	53	1	no	—
1477	#95	—	53	1	no	—
1478	#95	—	53	1	no	—
1479	#95	—	53	1	no	—
1480	#95	—	53	1	no	—
1481	#95	—	53	1	no	—
1482	#95	—	53	1	no	—
1483	#95	—	53	1	no	—
1484	#95	—	53	1	no	—
1485	#95	—	53	1	no	—
1486	#95	—	53	1	no	—
1487	#95	—	53	1	no	—
1488	#95	—	53	1	no	—
1489	#95	—	53	1	no	—
1490	#95	—	53	1	no	—
1491	C₂⁴	—	53	1	no	—
1492	C₂⁴	—	53	1	no	—
1493	C₂⁴	—	53	1	no	—
1494	C₂×Q₈	—	53	1	no	—
1495	C₂×Q₈	—	53	1	no	—
1496	C₂×Q₈	—	53	1	no	—
1497	C₂×Q₈	—	53	1	no	—
1498	C₂×Q₈	—	53	1	no	—
1499	C₂×Q₈	—	53	1	no	—
1500	C₂×Q₈	—	53	1	no	—
1501	C₂×Q₈	—	53	1	no	—
1502	C₂×Q₈	—	53	1	no	—
1503	C₂×Q₈	—	212	1	no	—
1504	C₂×Q₈	—	212	1	no	—
1505	C₂×Q₈	—	212	1	no	—
1506	C₂×Q₈	—	212	1	no	—
1507	C₂×Q₈	—	212	1	no	—
1508	C₂×Q₈	—	212	1	no	—
1509	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1510	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1511	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1512	C₂×D₄	—	53	1	no	—
1513	C₂×D₄	—	53	1	no	—
1514	C₂×D₄	—	53	1	no	—
1515	C₂×D₄	—	53	1	no	—
1516	C₂×D₄	—	53	1	no	—
1517	C₂×D₄	—	53	1	no	—
1518	C₂×D₄	—	53	1	no	—
1519	C₂×D₄	—	53	1	no	—
1520	C₂×D₄	—	53	1	no	—
1521	C₂×D₄	—	212	1	no	—
1522	C₂×D₄	—	212	1	no	—
1523	C₂×D₄	—	212	1	no	—
1524	C₂×D₄	—	212	1	no	—
1525	C₂×D₄	—	212	1	no	—
1526	C₂×D₄	—	212	1	no	—
1527	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1528	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1529	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1530	C₂²×C₄	—	53	1	no	—
1531	C₂²×C₄	—	53	1	no	—
1532	C₂²×C₄	—	53	1	no	—
1533	C₂²×C₄	—	53	1	no	—
1534	C₂²×C₄	—	53	1	no	—
1535	C₂²×C₄	—	53	1	no	—
1536	C₂²×C₄	—	53	1	no	—
1537	C₂²×C₄	—	53	1	no	—
1538	C₂²×C₄	—	53	1	no	—
1539	C₂²×C₄	—	53	1	no	—
1540	C₂²×C₄	—	53	1	no	—
1541	C₂²×C₄	—	53	1	no	—
1542	C₂²×C₄	—	53	1	no	—
1543	C₂²×C₄	—	53	1	no	—
1544	C₂²×C₄	—	53	1	no	—
1545	C₂²×C₄	—	53	1	no	—
1546	C₂²×C₄	—	53	1	no	—
1547	C₂²×C₄	—	53	1	no	—
1548	C₂²×C₄	—	53	1	no	—
1549	C₂²×C₄	—	53	1	no	—
1550	C₂²×C₄	—	53	1	no	—
1551	C₂²×C₄	—	53	1	no	—
1552	C₂²×C₄	—	53	1	no	—
1553	C₂²×C₄	—	53	1	no	—
1554	C₂²×C₄	—	53	1	no	—
1555	C₂²×C₄	—	53	1	no	—
1556	C₂²×C₄	—	53	1	no	—
1557	C₂²×C₄	—	53	1	no	—
1558	C₂²×C₄	—	53	1	no	—
1559	C₂²×C₄	—	53	1	no	—
1560	C₂²×C₄	—	53	1	no	—
1561	C₂²×C₄	—	53	1	no	—
1562	C₂²×C₄	—	53	1	no	—
1563	C₂²×C₄	—	53	1	no	—
1564	C₂²×C₄	—	53	1	no	—
1565	C₂²×C₄	—	53	1	no	—
1566	C₂²×C₄	—	53	1	no	—
1567	C₂²×C₄	—	106	2	no	—
1568	C₂²×C₄	—	106	2	no	—
1569	C₂²×C₄	—	106	2	no	—
1570	C₂²×C₄	—	212	1	no	—
1571	C₂²×C₄	—	212	1	no	—
1572	C₂²×C₄	—	212	1	no	—
1573	C₂²×C₄	—	212	1	no	—
1574	C₂²×C₄	—	212	1	no	—
1575	C₂²×C₄	—	212	1	no	—
1576	C₂²×C₄	—	212	1	no	—
1577	C₂²×C₄	—	212	1	no	—
1578	C₂²×C₄	—	212	1	no	—
1579	C₂²×C₄	—	212	1	no	—
1580	C₂²×C₄	—	212	1	no	—
1581	C₂²×C₄	—	212	1	no	—
1582	C₂²×C₄	—	212	1	no	—
1583	C₂²×C₄	—	212	1	no	—
1584	C₂²×C₄	—	212	1	no	—
1585	C₂²×C₄	—	212	1	no	—
1586	C₂²×C₄	—	212	1	no	—
1587	C₂²×C₄	—	212	1	no	—
1588	C₂²×C₄	—	212	1	no	—
1589	C₂²×C₄	—	212	1	no	—
1590	C₂²×C₄	—	212	1	no	—
1591	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1592	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1593	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1594	C₄⋊C₄	—	53	1	no	—
1595	C₄⋊C₄	—	53	1	no	—
1596	C₄⋊C₄	—	53	1	no	—
1597	C₄⋊C₄	—	53	1	no	—
1598	C₄⋊C₄	—	53	1	no	—
1599	C₄⋊C₄	—	53	1	no	—
1600	C₄⋊C₄	—	53	1	no	—
1601	C₄⋊C₄	—	53	1	no	—
1602	C₄⋊C₄	—	53	1	no	—
1603	C₄⋊C₄	—	53	1	no	—
1604	C₄⋊C₄	—	53	1	no	—
1605	C₄⋊C₄	—	53	1	no	—
1606	C₄⋊C₄	—	53	1	no	—
1607	C₄⋊C₄	—	53	1	no	—
1608	C₄⋊C₄	—	53	1	no	—
1609	C₄⋊C₄	—	53	1	no	—
1610	C₄⋊C₄	—	53	1	no	—
1611	C₄⋊C₄	—	53	1	no	—
1612	C₄⋊C₄	—	53	1	no	—
1613	C₄⋊C₄	—	53	1	no	—
1614	C₄⋊C₄	—	53	1	no	—
1615	C₄⋊C₄	—	53	1	no	—
1616	C₄⋊C₄	—	53	1	no	—
1617	C₄⋊C₄	—	53	1	no	—
1618	C₄⋊C₄	—	53	1	no	—
1619	C₄⋊C₄	—	53	1	no	—
1620	C₄⋊C₄	—	53	1	no	—
1621	C₄⋊C₄	—	53	1	no	—
1622	C₄⋊C₄	—	53	1	no	—
1623	C₄⋊C₄	—	53	1	no	—
1624	C₄⋊C₄	—	106	2	no	—
1625	C₄⋊C₄	—	106	2	no	—
1626	C₄⋊C₄	—	106	2	no	—
1627	C₄⋊C₄	—	106	2	no	—
1628	C₄⋊C₄	—	106	2	no	—
1629	C₄⋊C₄	—	212	1	no	—
1630	C₄⋊C₄	—	212	1	no	—
1631	C₄⋊C₄	—	212	1	no	—
1632	C₄⋊C₄	—	212	1	no	—
1633	C₄⋊C₄	—	212	1	no	—
1634	C₄⋊C₄	—	212	1	no	—
1635	C₄⋊C₄	—	212	1	no	—
1636	C₄⋊C₄	—	212	1	no	—
1637	C₄⋊C₄	—	212	1	no	—
1638	C₄⋊C₄	—	212	1	no	—
1639	C₄⋊C₄	—	212	1	no	—
1640	C₄⋊C₄	—	212	1	no	—
1641	C₄⋊C₄	—	212	1	no	—
1642	C₄⋊C₄	—	212	1	no	—
1643	C₄⋊C₄	—	212	1	no	—
1644	C₄⋊C₄	—	212	1	no	—
1645	C₄⋊C₄	—	212	1	no	—
1646	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1647	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1648	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1649	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1650	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1651	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1652	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1653	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1654	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1655	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1656	C₂²⋊C₄	—	53	1	no	—
1657	C₂²⋊C₄	—	53	1	no	—
1658	C₂²⋊C₄	—	53	1	no	—
1659	C₂²⋊C₄	—	53	1	no	—
1660	C₂²⋊C₄	—	53	1	no	—
1661	C₂²⋊C₄	—	53	1	no	—
1662	C₂²⋊C₄	—	53	1	no	—
1663	C₂²⋊C₄	—	53	1	no	—
1664	C₂²⋊C₄	—	53	1	no	—
1665	C₂²⋊C₄	—	53	1	no	—
1666	C₂²⋊C₄	—	53	1	no	—
1667	C₂²⋊C₄	—	53	1	no	—
1668	C₂²⋊C₄	—	53	1	no	—
1669	C₂²⋊C₄	—	53	1	no	—
1670	C₂²⋊C₄	—	53	1	no	—
1671	C₂²⋊C₄	—	53	1	no	—
1672	C₂²⋊C₄	—	53	1	no	—
1673	C₂²⋊C₄	—	53	1	no	—
1674	C₂²⋊C₄	—	53	1	no	—
1675	C₂²⋊C₄	—	53	1	no	—
1676	C₂²⋊C₄	—	53	1	no	—
1677	C₂²⋊C₄	—	53	1	no	—
1678	C₂²⋊C₄	—	53	1	no	—
1679	C₂²⋊C₄	—	53	1	no	—
1680	C₂²⋊C₄	—	53	1	no	—
1681	C₂²⋊C₄	—	53	1	no	—
1682	C₂²⋊C₄	—	53	1	no	—
1683	C₂²⋊C₄	—	53	1	no	—
1684	C₂²⋊C₄	—	53	1	no	—
1685	C₂²⋊C₄	—	53	1	no	—
1686	C₂²⋊C₄	—	53	1	no	—
1687	C₂²⋊C₄	—	53	1	no	—
1688	C₂²⋊C₄	—	53	1	no	—
1689	C₂²⋊C₄	—	53	1	no	—
1690	C₂²⋊C₄	—	53	1	no	—
1691	C₂²⋊C₄	—	53	1	no	—
1692	C₂²⋊C₄	—	106	2	no	—
1693	C₂²⋊C₄	—	106	2	no	—
1694	C₂²⋊C₄	—	106	2	no	—
1695	C₂²⋊C₄	—	212	1	no	—
1696	C₂²⋊C₄	—	212	1	no	—
1697	C₂²⋊C₄	—	212	1	no	—
1698	C₂²⋊C₄	—	212	1	no	—
1699	C₂²⋊C₄	—	212	1	no	—
1700	C₂²⋊C₄	—	212	1	no	—
1701	C₂²⋊C₄	—	212	1	no	—
1702	C₂²⋊C₄	—	212	1	no	—
1703	C₂²⋊C₄	—	212	1	no	—
1704	C₂²⋊C₄	—	212	1	no	—
1705	C₂²⋊C₄	—	212	1	no	—
1706	C₂²⋊C₄	—	212	1	no	—
1707	C₂²⋊C₄	—	212	1	no	—
1708	C₂²⋊C₄	—	212	1	no	—
1709	C₂²⋊C₄	—	212	1	no	—
1710	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1712	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1713	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1714	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1715	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1716	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1717	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1718	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1719	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1720	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1721	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1722	C₄²	—	53	1	no	—
1723	C₄²	—	53	1	no	—
1724	C₄²	—	53	1	no	—
1725	C₄²	—	53	1	no	—
1726	C₄²	—	53	1	no	—
1727	C₄²	—	53	1	no	—
1728	C₄²	—	53	1	no	—
1729	C₄²	—	53	1	no	—
1730	C₄²	—	53	1	no	—
1731	C₄²	—	53	1	no	—
1732	C₄²	—	53	1	no	—
1733	C₄²	—	53	1	no	—
1734	C₄²	—	106	2	no	—
1735	C₄²	—	106	2	no	—
1736	C₄²	—	106	2	no	—
1737	C₄²	—	212	1	no	—
1738	C₄²	—	212	1	no	—
1739	C₄²	—	212	1	no	—
1740	C₄²	—	212	1	no	—
1741	C₄²	—	212	1	no	—
1742	C₄²	—	212	1	no	—
1743	C₄²	—	212	1	no	—
1744	C₄²	—	212	1	no	—
1745	C₄²	—	212	1	no	—
1746	C₄²	—	212	1	no	—
1747	C₄²	—	212	1	no	—
1748	C₄²	—	212	1	no	—
1749	C₄²	—	212	1	no	—
1750	C₄²	—	212	1	no	—
1751	C₄²	—	212	1	no	—
1752	C₄²	—	212	1	no	—
1753	C₄²	—	212	1	no	—
1754	C₄²	—	212	1	no	—
1755	C₄²	—	212	1	no	—
1756	C₄²	C₂²×#6157	1	1	yes	characteristic
1757	C₄²	C₂²×#6157	1	1	yes	characteristic
1758	C₄²	C₂²×#6157	1	1	yes	characteristic
1759	C₄²	C₂²×#6157	1	1	yes	characteristic
1760	C₂³	—	53	1	no	—
1761	C₂³	—	53	1	no	—
1762	C₂³	—	53	1	no	—
1763	C₂³	—	53	1	no	—
1764	C₂³	—	106	1	no	—
1765	C₂³	—	106	1	no	—
1766	C₂³	—	106	1	no	—
1767	C₂³	—	106	1	no	—
1768	C₂³	—	106	1	no	—
1769	C₂³	—	106	1	no	—
1770	C₂³	—	106	1	no	—
1771	C₂³	—	106	1	no	—
1772	C₂³	—	106	1	no	—
1773	C₂³	—	106	1	no	—
1774	C₂³	—	106	1	no	—
1775	C₂³	—	106	1	no	—
1776	C₂³	—	106	1	no	—
1777	C₂³	—	106	1	no	—
1778	C₂³	—	106	1	no	—
1779	C₂³	—	106	1	no	—
1780	C₂³	—	106	1	no	—
1781	C₂³	—	106	1	no	—
1782	C₂³	C₂³×#6157	1	1	yes	characteristic
1783	C₂³	C₂³×#6157	1	1	yes	characteristic
1784	C₂³	C₂³×#6157	1	1	yes	characteristic
1785	Q₈	—	4	1	no	—
1786	Q₈	—	4	1	no	—
1787	Q₈	—	4	1	no	—
1788	Q₈	—	212	1	no	—
1789	Q₈	—	212	1	no	—
1790	Q₈	—	212	1	no	—
1791	Q₈	—	212	1	no	—
1792	Q₈	—	212	1	no	—
1793	Q₈	—	212	1	no	—
1794	Q₈	—	212	1	no	—
1795	Q₈	—	212	1	no	—
1796	Q₈	—	212	1	no	—
1797	D₄	—	4	1	no	—
1798	D₄	—	4	1	no	—
1799	D₄	—	4	1	no	—
1800	D₄	—	212	1	no	—
1801	D₄	—	212	1	no	—
1802	D₄	—	212	1	no	—
1803	D₄	—	212	1	no	—
1804	D₄	—	212	1	no	—
1805	D₄	—	212	1	no	—
1806	D₄	—	212	1	no	—
1807	D₄	—	212	1	no	—
1808	D₄	—	212	1	no	—
1809	C₂×C₄	—	4	1	no	—
1810	C₂×C₄	—	4	1	no	—
1811	C₂×C₄	—	4	1	no	—
1812	C₂×C₄	—	53	2	no	—
1813	C₂×C₄	—	53	2	no	—
1814	C₂×C₄	—	53	1	no	—
1815	C₂×C₄	—	53	1	no	—
1816	C₂×C₄	—	53	1	no	—
1817	C₂×C₄	—	53	1	no	—
1818	C₂×C₄	—	53	1	no	—
1819	C₂×C₄	—	53	1	no	—
1820	C₂×C₄	—	53	1	no	—
1821	C₂×C₄	—	53	1	no	—
1822	C₂×C₄	—	53	1	no	—
1823	C₂×C₄	—	53	1	no	—
1824	C₂×C₄	—	53	1	no	—
1825	C₂×C₄	—	53	1	no	—
1826	C₂×C₄	—	106	1	no	—
1827	C₂×C₄	—	106	1	no	—
1828	C₂×C₄	—	106	1	no	—
1829	C₂×C₄	—	106	1	no	—
1830	C₂×C₄	—	106	1	no	—
1831	C₂×C₄	—	106	1	no	—
1832	C₂×C₄	—	106	1	no	—
1833	C₂×C₄	—	106	1	no	—
1834	C₂×C₄	—	106	1	no	—
1835	C₂×C₄	—	106	1	no	—
1836	C₂×C₄	—	106	1	no	—
1837	C₂×C₄	—	106	1	no	—
1838	C₂×C₄	—	106	1	no	—
1839	C₂×C₄	—	106	1	no	—
1840	C₂×C₄	—	106	1	no	—
1841	C₂×C₄	—	106	1	no	—
1842	C₂×C₄	—	106	1	no	—
1843	C₂×C₄	—	106	1	no	—
1844	C₂×C₄	—	106	1	no	—
1845	C₂×C₄	—	106	1	no	—
1846	C₂×C₄	—	106	1	no	—
1847	C₂×C₄	—	106	1	no	—
1848	C₂×C₄	—	106	1	no	—
1849	C₂×C₄	—	106	1	no	—
1850	C₂×C₄	—	106	1	no	—
1851	C₂×C₄	—	106	1	no	—
1852	C₂×C₄	—	106	1	no	—
1853	C₂×C₄	—	106	1	no	—
1854	C₂×C₄	—	106	1	no	—
1855	C₂×C₄	—	106	1	no	—
1856	C₂×C₄	—	106	1	no	—
1857	C₂×C₄	—	106	1	no	—
1858	C₂×C₄	—	106	1	no	—
1859	C₂×C₄	—	106	1	no	—
1860	C₂×C₄	—	106	1	no	—
1861	C₂×C₄	—	106	1	no	—
1862	C₂×C₄	—	106	1	no	—
1863	C₂×C₄	—	106	1	no	—
1864	C₂×C₄	—	106	1	no	—
1865	C₂×C₄	—	106	1	no	—
1866	C₂×C₄	—	106	1	no	—
1867	C₂×C₄	—	106	1	no	—
1868	C₂×C₄	—	106	1	no	—
1869	C₂×C₄	—	106	1	no	—
1870	C₂×C₄	—	106	1	no	—
1871	C₂×C₄	—	106	1	no	—
1872	C₂×C₄	—	106	1	no	—
1873	C₂×C₄	—	106	1	no	—
1874	C₂×C₄	—	106	1	no	—
1875	C₂×C₄	—	106	1	no	—
1876	C₂×C₄	—	106	1	no	—
1877	C₂×C₄	—	106	1	no	—
1878	C₂×C₄	—	106	1	no	—
1879	C₂×C₄	—	106	1	no	—
1880	C₂×C₄	—	106	1	no	—
1881	C₂×C₄	—	106	1	no	—
1882	C₂×C₄	—	106	1	no	—
1883	C₂×C₄	—	106	1	no	—
1884	C₂×C₄	—	106	1	no	—
1885	C₂×C₄	—	106	1	no	—
1886	C₂×C₄	—	106	1	no	—
1887	C₂×C₄	—	106	1	no	—
1888	C₂×C₄	—	106	1	no	—
1889	C₂×C₄	—	106	1	no	—
1890	C₂×C₄	—	106	1	no	—
1891	C₂×C₄	—	106	1	no	—
1892	C₂×C₄	—	106	1	no	—
1893	C₂×C₄	—	106	1	no	—
1894	C₂×C₄	—	106	1	no	—
1895	C₂×C₄	—	106	1	no	—
1896	C₂×C₄	—	424	2	no	—
1897	C₂×C₄	—	424	2	no	—
1898	C₂×C₄	—	424	2	no	—
1899	C₂×C₄	—	424	2	no	—
1900	C₂×C₄	—	212	1	no	—
1901	C₂×C₄	—	212	1	no	—
1902	C₂×C₄	—	212	1	no	—
1903	C₂×C₄	—	212	1	no	—
1904	C₂×C₄	—	212	1	no	—
1905	C₂×C₄	—	212	1	no	—
1906	C₂×C₄	—	212	1	no	—
1907	C₂×C₄	—	212	1	no	—
1908	C₂×C₄	—	212	1	no	—
1909	C₂×C₄	—	212	4	no	—
1910	C₂×C₄	—	212	4	no	—
1911	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1912	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1913	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1914	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1915	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1916	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1917	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1918	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1919	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1920	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1921	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1922	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1923	C₂²	—	2	1	no	—
1924	C₂²	—	2	1	no	—
1925	C₂²	—	2	1	no	—
1926	C₂²	—	2	1	no	—
1927	C₂²	—	2	1	no	—
1928	C₂²	—	2	1	no	—
1929	C₂²	—	2	1	no	—
1930	C₂²	—	2	1	no	—
1931	C₂²	—	2	1	no	—
1932	C₂²	—	53	1	no	—
1933	C₂²	—	53	1	no	—
1934	C₂²	—	53	1	no	—
1935	C₂²	—	53	1	no	—
1936	C₂²	—	53	1	no	—
1937	C₂²	—	53	1	no	—
1938	C₂²	—	106	1	no	—
1939	C₂²	—	106	1	no	—
1940	C₂²	—	106	1	no	—
1941	C₂²	—	106	1	no	—
1942	C₂²	—	106	1	no	—
1943	C₂²	—	106	1	no	—
1944	C₂²	—	106	1	no	—
1945	C₂²	—	106	1	no	—
1946	C₂²	—	106	1	no	—
1947	C₂²	—	212	1	no	—
1948	C₂²	—	212	1	no	—
1949	C₂²	—	212	1	no	—
1950	C₂²	—	212	1	no	—
1951	C₂²	—	212	1	no	—
1952	C₂²	—	212	1	no	—
1953	C₂²	—	212	1	no	—
1954	C₂²	—	212	1	no	—
1955	C₂²	—	212	1	no	—
1956	C₂²	—	212	1	no	—
1957	C₂²	—	212	1	no	—
1958	C₂²	—	212	1	no	—
1959	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1960	C₄	—	2	1	no	—
1961	C₄	—	2	1	no	—
1962	C₄	—	2	1	no	—
1963	C₄	—	2	1	no	—
1964	C₄	—	2	1	no	—
1965	C₄	—	2	1	no	—
1966	C₄	—	2	1	no	—
1967	C₄	—	2	1	no	—
1968	C₄	—	2	1	no	—
1969	C₄	—	2	1	no	—
1970	C₄	—	2	1	no	—
1971	C₄	—	2	1	no	—
1972	C₄	—	106	2	no	—
1973	C₄	—	106	2	no	—
1974	C₄	—	106	1	no	—
1975	C₄	—	106	1	no	—
1976	C₄	—	106	1	no	—
1977	C₄	—	106	1	no	—
1978	C₄	—	106	1	no	—
1979	C₄	—	106	1	no	—
1980	C₄	—	106	1	no	—
1981	C₄	—	106	1	no	—
1982	C₄	—	106	1	no	—
1983	C₄	—	106	1	no	—
1984	C₄	—	106	1	no	—
1985	C₄	—	106	1	no	—
1986	C₄	—	212	1	no	—
1987	C₄	—	212	1	no	—
1988	C₄	—	212	1	no	—
1989	C₄	—	212	1	no	—
1990	C₄	—	212	1	no	—
1991	C₄	—	212	1	no	—
1992	C₄	—	212	1	no	—
1993	C₄	—	212	1	no	—
1994	C₄	—	212	1	no	—
1995	C₄	—	212	1	no	—
1996	C₄	—	212	1	no	—
1997	C₄	—	212	1	no	—
1998	C₄	—	212	1	no	—
1999	C₄	—	212	1	no	—
2000	C₂	—	4	1	no	—
2001	C₂	—	4	1	no	—
2002	C₂	—	4	1	no	—
2003	C₂	—	53	1	no	—
2004	C₂	—	53	1	no	—
2005	C₂	—	53	1	no	—
2006	C₂	—	53	1	no	—
2007	C₂	—	212	1	no	—
2008	C₂	—	212	1	no	—
2009	C₂	—	212	1	no	—
2010	C₂	#20291695	1	1	yes	characteristic
2011	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
2012	C₂	2₋¹⁺⁴×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#542	C₄
prime radical	#121×D₅₃	C₂²
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#542	#6157
hypocenter	C₅₃	#34448
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
1. #20291262	C₂	semidirect
2. #20291260	C₂	semidirect
3. #20291258	C₂	semidirect
4. #20291257	C₂	semidirect
5. #20291253	C₂	semidirect
6. #20291252	C₂	semidirect
7. #20291247	C₂	semidirect
8. #20291247	C₂	semidirect
9. #20291246	C₂	semidirect
10. #20291244	C₂	semidirect
11. #20291241	C₂	semidirect
12. #20291238	C₂	semidirect
13. #20291235	C₂	semidirect
14. #20291234	C₂	semidirect
15. #20291226	C₂	semidirect
16. #20291222	C₂	semidirect
17. #20291216	C₂	semidirect
18. #20291216	C₂	semidirect
19. #20291216	C₂	semidirect
20. #20291214	C₂	semidirect
21. #20291213	C₂	semidirect
22. #20291213	C₂	semidirect
24. #20291211	C₂	semidirect
25. #20291205	C₂	semidirect
27. #20291197	C₂	semidirect
28. C₂²⋊Q₈×#6157	C₂	semidirect
29. #123×#6157	C₂	semidirect
30. #20291169	C₂	semidirect
172. #16811247	C₄	semidirect
173. #16811246	C₄	semidirect
174. #16811245	C₄	semidirect
175. #16811244	C₄	semidirect
176. #16811243	C₄	semidirect
177. #16811243	C₄	semidirect
178. #16811242	C₄	semidirect
179. #16811241	C₄	semidirect
180. #16811241	C₄	semidirect
181. #16811240	C₄	semidirect
182. #16811239	C₄	semidirect
183. #16811239	C₄	semidirect
184. #16811238	C₄	semidirect
185. #16811237	C₄	semidirect
186. #16811237	C₄	semidirect
202. C₅₃×#542	C₄	semidirect
338. #13133217	C₂×C₄	semidirect
339. #13133216	C₂×C₄	semidirect
340. #13133216	C₂×C₄	semidirect
341. #13133216	C₂×C₄	semidirect
342. #13133216	C₂×C₄	semidirect
343. #13133215	C₂×C₄	semidirect
344. #13133215	C₂×C₄	semidirect
345. #13133212	C₂×C₄	semidirect
346. #13133212	C₂×C₄	semidirect
347. #13133212	C₂×C₄	semidirect
348. #13133212	C₂×C₄	semidirect
349. #13133212	C₂×C₄	semidirect
350. #13133212	C₂×C₄	semidirect
351. #13133211	C₂×C₄	semidirect
352. #13133211	C₂×C₄	semidirect
353. #13133210	C₂×C₄	semidirect
354. #13133210	C₂×C₄	semidirect
355. #13133210	C₂×C₄	semidirect
356. #13133210	C₂×C₄	semidirect
357. #13133210	C₂×C₄	semidirect
358. #13133210	C₂×C₄	semidirect
359. #13133206	C₂×C₄	semidirect
360. #13133206	C₂×C₄	semidirect
361. #13133206	C₂×C₄	semidirect
362. #13133205	C₂×C₄	semidirect
363. #13133205	C₂×C₄	semidirect
364. #13133205	C₂×C₄	semidirect
365. #13133204	C₂×C₄	semidirect
366. #13133204	C₂×C₄	semidirect
367. #13133204	C₂×C₄	semidirect
368. #13133203	C₂×C₄	semidirect
369. #13133203	C₂×C₄	semidirect
370. #13133203	C₂×C₄	semidirect
371. #13133203	C₂×C₄	semidirect
372. #13133203	C₂×C₄	semidirect
373. #13133203	C₂×C₄	semidirect
374. #13133203	C₂×C₄	semidirect
375. #13133203	C₂×C₄	semidirect
376. #13133203	C₂×C₄	semidirect
377. #13133203	C₂×C₄	semidirect
378. #13133203	C₂×C₄	semidirect
379. #13133203	C₂×C₄	semidirect
380. #13133202	C₂×C₄	semidirect
381. #13133202	C₂×C₄	semidirect
382. #13133202	C₂×C₄	semidirect
383. #13133202	C₂×C₄	semidirect
384. #13133201	C₂×C₄	semidirect
385. #13133201	C₂×C₄	semidirect
386. #13133200	C₂×C₄	semidirect
387. #13133200	C₂×C₄	semidirect
388. #13133199	C₂×C₄	semidirect
389. #13133199	C₂×C₄	semidirect
390. #13133199	C₂×C₄	semidirect
391. #13133199	C₂×C₄	semidirect
392. #13133198	C₂×C₄	semidirect
393. #13133198	C₂×C₄	semidirect
394. #13133197	C₂×C₄	semidirect
395. #13133197	C₂×C₄	semidirect
396. #13133197	C₂×C₄	semidirect
397. #13133196	C₂×C₄	semidirect
398. #13133196	C₂×C₄	semidirect
399. #13133196	C₂×C₄	semidirect
400. #13133195	C₂×C₄	semidirect
401. #13133195	C₂×C₄	semidirect
402. #13133195	C₂×C₄	semidirect
403. #13133195	C₂×C₄	semidirect
404. #13133195	C₂×C₄	semidirect
405. #13133195	C₂×C₄	semidirect
406. #13133194	C₂×C₄	semidirect
407. #13133194	C₂×C₄	semidirect
408. #13133194	C₂×C₄	semidirect
409. #13133194	C₂×C₄	semidirect
410. #13133194	C₂×C₄	semidirect
411. #13133194	C₂×C₄	semidirect
412. #13133193	C₂×C₄	semidirect
413. #13133193	C₂×C₄	semidirect
414. #13133193	C₂×C₄	semidirect
422. Q₈×Dic₅₃	C₂×C₄	semidirect
423. C₄×Dic₁₀₆	C₂×C₄	semidirect
424. C₄×Dic₁₀₆	C₂×C₄	semidirect
425. C₄×Dic₁₀₆	C₂×C₄	semidirect
426. #13133182	C₂×C₄	semidirect
427. #13133182	C₂×C₄	semidirect
428. #13133182	C₂×C₄	semidirect
429. C₄×D₂₁₂	C₂×C₄	semidirect
430. D₄×Dic₅₃	C₂×C₄	semidirect
431. #13133179	C₂×C₄	semidirect
432. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
433. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
434. #13133177	C₂×C₄	semidirect
435. #13133177	C₂×C₄	semidirect
436. #13133176	C₂×C₄	semidirect
437. #13133175	C₂×C₄	semidirect
438. #13133175	C₂×C₄	semidirect
439. #13133174	C₂×C₄	semidirect
440. #13133174	C₂×C₄	semidirect
441. #13133173	C₂×C₄	semidirect
442. #13133173	C₂×C₄	semidirect
469. C₄⋊Q₈×C₅₃	C₂×C₄	semidirect
470. #126×C₅₃	C₂×C₄	semidirect
471. #126×C₅₃	C₂×C₄	semidirect
472. #124×C₅₃	C₂×C₄	semidirect
473. #124×C₅₃	C₂×C₄	semidirect
474. #124×C₅₃	C₂×C₄	semidirect
475. #123×C₅₃	C₂×C₄	semidirect
476. #123×C₅₃	C₂×C₄	semidirect
477. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
478. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
479. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
481. C₄×Q₈×C₅₃	C₂×C₄	semidirect
482. C₄×D₄×C₅₃	C₂×C₄	semidirect
483. #117×C₅₃	C₂×C₄	semidirect
1053. #542	#6157	semidirect
1209. C₅₃	#34448	semidirect
1232. C₄⋊Q₈	C₂×#6157	semidirect
1247. #126	C₂×#6157	semidirect
1248. #126	C₂×#6157	semidirect
1270. #124	C₂×#6157	semidirect
1271. #124	C₂×#6157	semidirect
1272. #124	C₂×#6157	semidirect
1287. #123	C₂×#6157	semidirect
1288. #123	C₂×#6157	semidirect
1310. C₂²⋊Q₈	C₂×#6157	semidirect
1311. C₂²⋊Q₈	C₂×#6157	semidirect
1312. C₂²⋊Q₈	C₂×#6157	semidirect
1330. C₄×Q₈	C₂×#6157	semidirect
1340. C₄×D₄	C₂×#6157	semidirect
1349. #117	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291262	2
#20291260	2
#20291258	2
#20291257	2
#20291253	2
#20291252	2
#20291247	2
#20291246	2
#20291244	2
#20291241	2
#20291238	2
#20291235	2
#20291234	2
#20291226	2
#20291222	2
#20291216	2
#20291214	2
#20291213	2
#20291212	2
#20291211	2
#20291205	2
#20291204	2
#20291197	2
C₂²⋊Q₈×#6157	2
#123×#6157	2
#20291169	2
#542×D₅₃	2
#34448	53