Subgroups — #72328945

Order 1024.

At least 6824 conjugacy classes of subgroups; only the 929 normal subgroups are shown.

The subgroup lattice has 809 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15369	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15257	C₂	1	1	yes	maximal, characteristic
3	#160060	C₂	1	1	yes	maximal, characteristic, complemented
4	#160059	C₂	1	1	yes	maximal, characteristic, complemented
5	#160009	C₂	1	1	yes	maximal, characteristic, complemented
6	#160006	C₂	1	1	yes	maximal, characteristic, complemented
7	#159755	C₂	1	1	yes	maximal, characteristic, complemented
8	#159423	C₂	1	1	yes	maximal, characteristic, complemented
9	#159403	C₂	1	1	yes	maximal, characteristic, complemented
10	#159228	C₂	1	1	yes	maximal, characteristic, complemented
11	#157728	C₂	1	1	yes	maximal, characteristic, complemented
12	#156910	C₂	1	1	yes	maximal, characteristic, complemented
13	#156890	C₂	1	1	yes	maximal, characteristic, complemented
14	#156882	C₂	1	1	yes	maximal, characteristic, complemented
15	#156856	C₂	1	1	yes	maximal, characteristic, complemented
16	#156814	C₂	1	1	yes	maximal, characteristic, complemented
17	#156814	C₂	1	1	yes	maximal, characteristic, complemented
18	#156694	C₂	1	1	yes	maximal, characteristic, complemented
19	#156521	C₂	1	1	yes	maximal, characteristic, complemented
20	#155941	C₂	1	1	yes	maximal, characteristic, complemented
21	#155679	C₂	1	1	yes	maximal, characteristic, complemented
22	#155629	C₂	1	1	yes	maximal, characteristic, complemented
23	#155622	C₂	1	1	yes	maximal, characteristic, complemented
24	#155065	C₂	1	1	yes	maximal, characteristic, complemented
25	#154674	C₂	1	1	yes	maximal, characteristic, complemented
26	#154670	C₂	1	1	yes	maximal, characteristic, complemented
27	#154670	C₂	1	1	yes	maximal, characteristic, complemented
28	#154670	C₂	1	1	yes	maximal, characteristic, complemented
29	#154255	C₂	1	1	yes	maximal, characteristic, complemented
30	#154197	C₂	1	1	yes	maximal, characteristic, complemented
31	#154197	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×#121	C₂²	1	1	yes	characteristic
33	C₂³×#120	C₂²	1	1	yes	characteristic
34	C₂³×#120	C₂²	1	1	yes	characteristic
35	C₂²×#392	C₂²	1	1	yes	characteristic
36	C₂²×#392	C₂²	1	1	yes	characteristic
37	C₂²×#386	C₂²	1	1	yes	characteristic
38	C₂²×#386	C₂²	1	1	yes	characteristic
39	C₂²×#386	C₂²	1	1	yes	characteristic
40	C₂²×#386	C₂²	1	1	yes	characteristic
41	C₂²×#386	C₂²	1	1	yes	characteristic
42	C₂²×#386	C₂²	1	1	yes	characteristic
43	C₂²×#386	C₂²	1	1	yes	characteristic
44	C₂²×#386	C₂²	1	1	yes	characteristic
45	C₂²×#386	C₂²	1	1	yes	characteristic
46	C₂²×#386	C₂²	1	1	yes	characteristic
47	C₂²×#386	C₂²	1	1	yes	characteristic
48	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
51	C₂²×#381	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#379	C₂²	1	1	yes	characteristic
53	C₂²×#379	C₂²	1	1	yes	characteristic
54	C₂²×#379	C₂²	1	1	yes	characteristic
55	C₂²×#379	C₂²	1	1	yes	characteristic
56	C₂²×#379	C₂²	1	1	yes	characteristic
57	C₂³×#95	C₂²	1	1	yes	characteristic, complemented
58	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
59	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
60	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
61	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
62	C₂×#1442	C₂²	1	1	yes	characteristic, complemented
63	C₂×#1441	C₂²	1	1	yes	characteristic, complemented
64	C₂×#1440	C₂²	1	1	yes	characteristic
65	C₂×#1440	C₂²	1	1	yes	characteristic
66	C₂×#1440	C₂²	1	1	yes	characteristic
67	C₂×#1440	C₂²	1	1	yes	characteristic
68	C₂×#1440	C₂²	1	1	yes	characteristic
69	C₂×#1440	C₂²	1	1	yes	characteristic
70	C₂×#1440	C₂²	1	1	yes	characteristic
71	C₂×#1440	C₂²	1	1	yes	characteristic
72	C₂×#1440	C₂²	1	1	yes	characteristic
73	C₂×#1440	C₂²	1	1	yes	characteristic
74	C₂×#1440	C₂²	1	1	yes	characteristic
75	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
76	C₂×#1439	C₂²	1	1	yes	characteristic
77	C₂×#1439	C₂²	1	1	yes	characteristic
78	C₂×#1439	C₂²	1	1	yes	characteristic
79	C₂×#1439	C₂²	1	1	yes	characteristic
80	C₂×#1439	C₂²	1	1	yes	characteristic
81	C₂×#1439	C₂²	1	1	yes	characteristic
82	C₂×#1439	C₂²	1	1	yes	characteristic
83	C₂×#1439	C₂²	1	1	yes	characteristic
84	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
85	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
86	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
87	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
88	C₂×#1438	C₂²	1	1	yes	characteristic
89	C₂×#1438	C₂²	1	1	yes	characteristic
90	C₂×#1438	C₂²	1	1	yes	characteristic
91	C₂×#1438	C₂²	1	1	yes	characteristic
92	C₂×#1438	C₂²	1	1	yes	characteristic
93	C₂×#1438	C₂²	1	1	yes	characteristic
94	C₂×#1438	C₂²	1	1	yes	characteristic
95	C₂×#1438	C₂²	1	1	yes	characteristic
96	C₂×#1438	C₂²	1	1	yes	characteristic
97	C₂×#1438	C₂²	1	1	yes	characteristic
98	C₂×#1438	C₂²	1	1	yes	characteristic
99	C₂×#1438	C₂²	1	1	yes	characteristic
100	C₂×#1438	C₂²	1	1	yes	characteristic
101	C₂×#1438	C₂²	1	1	yes	characteristic
102	C₂×#1438	C₂²	1	1	yes	characteristic
103	C₂×#1438	C₂²	1	1	yes	characteristic
104	C₂×#1438	C₂²	1	1	yes	characteristic
105	C₂×#1438	C₂²	1	1	yes	characteristic
106	C₂×#1438	C₂²	1	1	yes	characteristic
107	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
117	#7557	C₂²	1	1	yes	characteristic, complemented
118	#7557	C₂²	1	1	yes	characteristic, complemented
119	#7557	C₂²	1	1	yes	characteristic, complemented
120	#7557	C₂²	1	1	yes	characteristic, complemented
121	#7557	C₂²	1	1	yes	characteristic, complemented
122	#7556	C₂²	1	1	yes	characteristic, complemented
123	#7556	C₂²	1	1	yes	characteristic, complemented
124	#7556	C₂²	1	1	yes	characteristic, complemented
125	#7556	C₂²	1	1	yes	characteristic, complemented
126	#7556	C₂²	1	1	yes	characteristic, complemented
127	#7556	C₂²	1	1	yes	characteristic, complemented
128	#7556	C₂²	1	1	yes	characteristic, complemented
129	#7556	C₂²	1	1	yes	characteristic, complemented
130	#7556	C₂²	1	1	yes	characteristic, complemented
131	#7556	C₂²	1	1	yes	characteristic, complemented
132	#7556	C₂²	1	1	yes	characteristic, complemented
133	#7556	C₂²	1	1	yes	characteristic, complemented
134	#7556	C₂²	1	1	yes	characteristic, complemented
135	#7556	C₂²	1	1	yes	characteristic, complemented
136	#7556	C₂²	1	1	yes	characteristic, complemented
137	#7556	C₂²	1	1	yes	characteristic, complemented
138	#7556	C₂²	1	1	yes	characteristic, complemented
139	#7556	C₂²	1	1	yes	characteristic, complemented
140	#7556	C₂²	1	1	yes	characteristic, complemented
141	#7556	C₂²	1	1	yes	characteristic, complemented
142	#7556	C₂²	1	1	yes	characteristic, complemented
143	#7556	C₂²	1	1	yes	characteristic, complemented
144	#7556	C₂²	1	1	yes	characteristic, complemented
145	#7556	C₂²	1	1	yes	characteristic, complemented
146	#7556	C₂²	1	1	yes	characteristic, complemented
147	#7555	C₂²	1	1	yes	characteristic
148	#7555	C₂²	1	1	yes	characteristic
149	#7555	C₂²	1	1	yes	characteristic
150	#7555	C₂²	1	1	yes	characteristic
151	#7555	C₂²	1	1	yes	characteristic
152	#7555	C₂²	1	1	yes	characteristic
153	#7555	C₂²	1	1	yes	characteristic
154	#7555	C₂²	1	1	yes	characteristic
155	#7555	C₂²	1	1	yes	characteristic
156	#7555	C₂²	1	1	yes	characteristic
157	#7555	C₂²	1	1	yes	characteristic
158	#7555	C₂²	1	1	yes	characteristic
159	#7555	C₂²	1	1	yes	characteristic
160	#7555	C₂²	1	1	yes	characteristic
161	#7555	C₂²	1	1	yes	characteristic
162	#7555	C₂²	1	1	yes	characteristic
163	#7555	C₂²	1	1	yes	characteristic
164	#7555	C₂²	1	1	yes	characteristic
165	#7555	C₂²	1	1	yes	characteristic
166	#7555	C₂²	1	1	yes	characteristic
167	#7555	C₂²	1	1	yes	characteristic
168	#7555	C₂²	1	1	yes	characteristic
169	#7555	C₂²	1	1	yes	characteristic
170	#7555	C₂²	1	1	yes	characteristic
171	#7555	C₂²	1	1	yes	characteristic
172	#7555	C₂²	1	1	yes	characteristic
173	#7555	C₂²	1	1	yes	characteristic
174	#7555	C₂²	1	1	yes	characteristic
175	#7555	C₂²	1	1	yes	characteristic
176	#7555	C₂²	1	1	yes	characteristic
177	#7555	C₂²	1	1	yes	characteristic
178	#7555	C₂²	1	1	yes	characteristic
179	#7555	C₂²	1	1	yes	characteristic, complemented
180	#7555	C₂²	1	1	yes	characteristic, complemented
181	#7555	C₂²	1	1	yes	characteristic, complemented
182	#7555	C₂²	1	1	yes	characteristic, complemented
183	#7555	C₂²	1	1	yes	characteristic, complemented
184	#7555	C₂²	1	1	yes	characteristic, complemented
185	#7555	C₂²	1	1	yes	characteristic, complemented
186	#7555	C₂²	1	1	yes	characteristic, complemented
187	C₂⁷	C₂³	1	1	yes	characteristic
188	C₂⁴×D₄	C₂³	1	1	yes	characteristic
189	C₂⁴×D₄	C₂³	1	1	yes	characteristic
190	C₂⁴×D₄	C₂³	1	1	yes	characteristic
191	C₂⁴×D₄	C₂³	1	1	yes	characteristic
192	C₂⁴×D₄	C₂³	1	1	yes	characteristic
193	C₂⁴×D₄	C₂³	1	1	yes	characteristic
194	C₂⁴×D₄	C₂³	1	1	yes	characteristic
195	C₂⁵×C₄	C₂³	1	1	yes	characteristic
196	C₂⁵×C₄	C₂³	1	1	yes	characteristic
197	C₂⁵×C₄	C₂³	1	1	yes	characteristic
198	C₂⁵×C₄	C₂³	1	1	yes	characteristic
199	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
203	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×#392	D₄	1	8	yes	—
257	C₂²×#95	C₂³	1	1	yes	characteristic
258	C₂²×#95	C₂³	1	1	yes	characteristic
259	C₂²×#95	C₂³	1	1	yes	characteristic
260	C₂²×#95	C₂³	1	1	yes	characteristic
261	C₂²×#95	C₂³	1	1	yes	characteristic
262	C₂²×#95	C₂³	1	1	yes	characteristic
263	C₂²×#95	C₂³	1	1	yes	characteristic
264	C₂²×#95	C₂³	1	1	yes	characteristic
265	C₂²×#95	C₂³	1	1	yes	characteristic
266	C₂²×#95	C₂³	1	1	yes	characteristic
267	C₂²×#95	C₂³	1	1	yes	characteristic
268	C₂²×#95	C₂³	1	1	yes	characteristic
269	C₂²×#95	C₂³	1	1	yes	characteristic
270	C₂²×#95	C₂³	1	1	yes	characteristic
271	C₂²×#95	C₂³	1	1	yes	characteristic
272	C₂²×#95	C₂³	1	1	yes	characteristic
273	C₂²×#95	C₂³	1	1	yes	characteristic
274	C₂²×#95	C₂³	1	1	yes	characteristic
275	C₂²×#95	C₂³	1	1	yes	characteristic
276	C₂²×#95	C₂³	1	1	yes	characteristic
277	C₂²×#95	C₂³	1	1	yes	characteristic
278	C₂²×#95	C₂³	1	1	yes	characteristic
279	C₂²×#95	C₂³	1	1	yes	characteristic
280	C₂²×#95	C₂³	1	1	yes	characteristic
281	C₂²×#95	C₂³	1	1	yes	characteristic
282	C₂²×#95	C₂³	1	1	yes	characteristic
283	C₂²×#95	C₂³	1	1	yes	characteristic
284	C₂²×#95	C₂³	1	1	yes	characteristic
285	C₂²×#95	C₂³	1	1	yes	characteristic
286	C₂²×#95	C₂³	1	1	yes	characteristic
287	C₂²×#95	C₂³	1	1	yes	characteristic
288	C₂²×#95	C₂³	1	1	yes	characteristic
289	C₂²×#95	C₂³	1	1	yes	characteristic
290	C₂²×#95	C₂³	1	1	yes	characteristic
291	C₂²×#95	C₂³	1	1	yes	characteristic
292	C₂²×#95	C₂³	1	1	yes	characteristic
293	C₂²×#95	C₂³	1	1	yes	characteristic
294	C₂²×#95	C₂³	1	1	yes	characteristic
295	C₂²×#95	C₂³	1	1	yes	characteristic
296	C₂²×#95	C₂³	1	1	yes	characteristic
297	C₂²×#95	C₂³	1	1	yes	characteristic
298	C₂²×#95	C₂³	1	1	yes	characteristic
299	C₂²×#95	C₂³	1	1	yes	characteristic
300	C₂²×#95	C₂³	1	1	yes	characteristic
301	C₂²×#95	C₂³	1	1	yes	characteristic
302	C₂²×#95	C₂³	1	1	yes	characteristic
303	C₂²×#95	C₂³	1	1	yes	characteristic
304	C₂²×#95	C₂³	1	1	yes	characteristic
305	C₂²×#95	C₂³	1	1	yes	characteristic
306	C₂²×#95	C₂³	1	1	yes	characteristic
307	C₂²×#95	C₂³	1	1	yes	characteristic
308	C₂²×#95	C₂³	1	1	yes	characteristic
309	C₂²×#95	C₂³	1	1	yes	characteristic
310	C₂²×#95	C₂³	1	1	yes	characteristic
311	C₂²×#95	C₂³	1	1	yes	characteristic
312	C₂²×#95	C₂³	1	1	yes	characteristic
313	C₂²×#95	C₂³	1	1	yes	characteristic
314	C₂²×#95	C₂³	1	1	yes	characteristic
315	C₂²×#95	C₂³	1	1	yes	characteristic
316	C₂²×#95	C₂³	1	1	yes	characteristic
317	C₂²×#95	C₂³	1	1	yes	characteristic
318	C₂²×#95	C₂³	1	1	yes	characteristic
319	C₂²×#95	C₂³	1	1	yes	characteristic
320	C₂²×#95	C₂³	1	1	yes	characteristic
321	C₂²×#95	C₂³	1	1	yes	characteristic
322	C₂²×#95	C₂³	1	1	yes	characteristic
323	C₂²×#95	C₂³	1	1	yes	characteristic
324	C₂²×#95	C₂³	1	1	yes	characteristic
325	C₂²×#95	C₂³	1	1	yes	characteristic
326	C₂²×#95	C₂³	1	1	yes	characteristic
327	C₂²×#95	C₂³	1	1	yes	characteristic
328	C₂²×#95	C₂³	1	1	yes	characteristic
329	C₂²×#95	C₂³	1	1	yes	characteristic
330	C₂²×#95	C₂³	1	1	yes	characteristic
331	C₂²×#95	C₂³	1	1	yes	characteristic
332	C₂²×#95	C₂³	1	1	yes	characteristic
333	C₂²×#95	C₂³	1	1	yes	characteristic
334	C₂²×#95	C₂³	1	1	yes	characteristic
335	C₂²×#95	C₂³	1	1	yes	characteristic
336	C₂²×#95	C₂³	1	1	yes	characteristic
337	C₂²×#95	C₂³	1	1	yes	characteristic
338	C₂²×#95	C₂³	1	1	yes	characteristic
339	C₂²×#95	C₂³	1	1	yes	characteristic
340	C₂²×#95	C₂³	1	1	yes	characteristic
341	C₂²×#95	C₂³	1	1	yes	characteristic
342	C₂²×#95	C₂³	1	1	yes	characteristic
343	C₂⁶	C₂⁴	1	1	yes	characteristic
344	C₂⁶	C₂⁴	1	1	yes	characteristic
345	C₂⁶	C₂⁴	1	1	yes	characteristic
346	C₂⁶	C₂⁴	1	1	yes	characteristic
347	C₂⁶	C₂⁴	1	1	yes	characteristic
348	C₂³×D₄	C₂×D₄	1	4	yes	—
349	C₂³×D₄	C₂×D₄	1	4	yes	—
350	C₂³×D₄	C₂×D₄	1	4	yes	—
351	C₂³×D₄	#41	1	4	yes	—
352	C₂³×D₄	#41	1	4	yes	—
353	C₂³×D₄	#41	1	4	yes	—
354	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
357	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
360	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
361	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
362	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
363	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
369	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
370	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
380	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
381	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
382	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
383	C₂²×C₂²⋊C₄	#41	1	4	yes	—
384	C₂×#95	C₂×D₄	1	4	yes	—
385	C₂⁵	C₂²×D₄	1	2	yes	—
386	C₂⁵	C₂²×D₄	1	2	yes	—
387	C₂⁵	C₂²×D₄	1	2	yes	—
388	C₂⁵	C₂×#41	1	2	yes	—
389	C₂⁵	C₂×#41	1	2	yes	—
390	C₂⁵	C₂×#41	1	2	yes	—
391	C₂⁵	C₂×#41	1	2	yes	—
392	C₂⁵	C₂×#41	1	2	yes	—
393	C₂⁵	C₂×#41	1	2	yes	—
394	C₂⁵	C₂×#41	1	2	yes	—
395	C₂⁵	H(5,𝔽₂)	1	2	yes	—
396	C₂⁵	H(5,𝔽₂)	1	2	yes	—
397	C₂⁵	H(5,𝔽₂)	1	2	yes	—
398	C₂⁵	H(5,𝔽₂)	1	2	yes	—
399	C₂⁵	H(5,𝔽₂)	1	2	yes	—
400	C₂⁵	H(5,𝔽₂)	1	2	yes	—
401	C₂⁵	H(5,𝔽₂)	1	2	yes	—
402	C₂⁵	H(5,𝔽₂)	1	2	yes	—
403	C₂⁵	H(5,𝔽₂)	1	2	yes	—
404	C₂⁵	C₂⁵	1	1	yes	characteristic
405	C₂³×C₄	C₂²×D₄	1	2	yes	—
406	C₂³×C₄	C₂²×D₄	1	2	yes	—
407	C₂³×C₄	C₂²×D₄	1	2	yes	—
408	C₂³×C₄	C₂²×D₄	1	2	yes	—
409	C₂³×C₄	C₂×#41	1	2	yes	—
410	C₂³×C₄	C₂×#41	1	2	yes	—
411	C₂³×C₄	C₂×#41	1	2	yes	—
412	C₂³×C₄	C₂×#41	1	2	yes	—
413	C₂³×C₄	C₂×#41	1	2	yes	—
414	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
415	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
416	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
417	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
418	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
419	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
420	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
421	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
422	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
423	C₂⁴	#534	1	4	yes	—
424	C₂⁴	#538	1	4	yes	—
425	C₂⁴	#538	1	4	yes	—
426	C₂⁴	#538	1	4	yes	—
427	C₂⁴	#546	1	4	yes	—
428	C₂⁴	#546	1	4	yes	—
429	C₂⁴	#546	1	4	yes	—
430	C₂⁴	#546	1	4	yes	—
431	C₂⁴	#551	1	4	yes	—
432	C₂⁴	#551	1	4	yes	—
433	C₂⁴	#560	1	4	yes	—
434	C₂⁴	C₂³×D₄	1	1	yes	characteristic
435	C₂⁴	C₂²×#41	1	1	yes	characteristic
436	C₂⁴	C₂²×#41	1	1	yes	characteristic
437	C₂⁴	C₂²×#41	1	1	yes	characteristic
438	C₂⁴	C₂²×#41	1	1	yes	characteristic
439	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
440	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
441	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
442	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
443	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
444	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
445	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
446	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
447	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
448	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
449	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
450	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
451	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
452	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
453	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
454	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
455	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
456	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
457	C₂⁴	#585	1	1	yes	characteristic
458	C₂⁴	#585	1	1	yes	characteristic
459	C₂⁴	#585	1	1	yes	characteristic
460	C₂⁴	#585	1	1	yes	characteristic
461	C₂⁴	#585	1	1	yes	characteristic
462	C₂⁴	#585	1	1	yes	characteristic
463	C₂⁴	#585	1	1	yes	characteristic
464	C₂⁴	#585	1	1	yes	characteristic
465	C₂²×C₄	#551	1	4	yes	—
466	C₂³	#2697	1	8	yes	—
467	C₂³	C₂×#534	1	1	yes	characteristic
468	C₂³	C₂×#538	1	1	yes	characteristic
469	C₂³	C₂×#538	1	1	yes	characteristic
470	C₂³	C₂×#538	1	1	yes	characteristic
471	C₂³	#3459	1	1	yes	characteristic
472	C₂³	#3459	1	1	yes	characteristic
473	C₂³	#3460	1	1	yes	characteristic
474	C₂³	C₂×#546	1	1	yes	characteristic
475	C₂³	C₂×#546	1	1	yes	characteristic
476	C₂³	C₂×#546	1	1	yes	characteristic
477	C₂³	C₂×#546	1	1	yes	characteristic
478	C₂³	C₂×#551	1	1	yes	characteristic
479	C₂³	C₂×#551	1	1	yes	characteristic
480	C₂³	C₂×#551	1	1	yes	characteristic
481	C₂³	#3481	1	1	yes	characteristic
482	C₂³	#3481	1	1	yes	characteristic
483	C₂³	#3481	1	1	yes	characteristic
484	C₂³	#3484	1	1	yes	characteristic
485	C₂³	#3484	1	1	yes	characteristic
486	C₂³	#3484	1	1	yes	characteristic
487	C₂³	#3484	1	1	yes	characteristic
488	C₂³	#3485	1	1	yes	characteristic
489	C₂³	#3485	1	1	yes	characteristic
490	C₂³	#3488	1	1	yes	characteristic
491	C₂³	#3488	1	1	yes	characteristic
492	C₂³	#3490	1	1	yes	characteristic
493	C₂³	#3490	1	1	yes	characteristic
494	C₂³	#3490	1	1	yes	characteristic
495	C₂³	#3490	1	1	yes	characteristic
496	C₂³	#3490	1	1	yes	characteristic
497	C₂³	#3490	1	1	yes	characteristic
498	C₂³	#3491	1	1	yes	characteristic
499	C₂³	#3494	1	1	yes	characteristic
500	C₂³	#3494	1	1	yes	characteristic
501	C₂³	#3496	1	1	yes	characteristic
502	C₂³	#3496	1	1	yes	characteristic
503	C₂³	#3505	1	1	yes	characteristic
504	C₂³	#3505	1	1	yes	characteristic
505	C₂³	#3506	1	1	yes	characteristic
506	C₂³	#3513	1	1	yes	characteristic
507	C₂³	#3513	1	1	yes	characteristic
508	C₂³	#3513	1	1	yes	characteristic
509	C₂³	#3513	1	1	yes	characteristic
510	C₂³	#3513	1	1	yes	characteristic
511	C₂³	#3513	1	1	yes	characteristic
512	C₂³	#3513	1	1	yes	characteristic
513	C₂³	#3513	1	1	yes	characteristic
514	C₂³	#3513	1	1	yes	characteristic
515	C₂³	#3513	1	1	yes	characteristic
516	C₂³	#3513	1	1	yes	characteristic
517	C₂³	#3514	1	1	yes	characteristic
518	C₂³	#3514	1	1	yes	characteristic
519	C₂³	#3514	1	1	yes	characteristic
520	C₂³	#3519	1	1	yes	characteristic
521	C₂³	#3519	1	1	yes	characteristic
522	C₂³	#3519	1	1	yes	characteristic
523	C₂³	#3519	1	1	yes	characteristic
524	C₂³	#3519	1	1	yes	characteristic
525	C₂³	#3519	1	1	yes	characteristic
526	C₂³	#3519	1	1	yes	characteristic
527	C₂³	#3519	1	1	yes	characteristic
528	C₂³	#3521	1	1	yes	characteristic
529	C₂³	#3521	1	1	yes	characteristic
530	C₂³	#3521	1	1	yes	characteristic
531	C₂³	#3521	1	1	yes	characteristic
532	C₂³	C₂×#560	1	1	yes	characteristic
533	C₂³	#3529	1	1	yes	characteristic
534	C₂³	#3532	1	1	yes	characteristic
535	C₂³	#3532	1	1	yes	characteristic
536	C₂³	#3532	1	1	yes	characteristic
537	C₂³	#3532	1	1	yes	characteristic
538	C₂³	#3532	1	1	yes	characteristic
539	C₂³	#3532	1	1	yes	characteristic
540	C₂³	#3532	1	1	yes	characteristic
541	C₂³	#3532	1	1	yes	characteristic
542	C₂³	#3532	1	1	yes	characteristic
543	C₂³	#3532	1	1	yes	characteristic
544	C₂³	#3532	1	1	yes	characteristic
545	C₂³	#3532	1	1	yes	characteristic
546	C₂³	#3533	1	1	yes	characteristic
547	C₂³	#3533	1	1	yes	characteristic
548	C₂³	#3533	1	1	yes	characteristic
549	C₂³	#3533	1	1	yes	characteristic
550	C₂³	#3533	1	1	yes	characteristic
551	C₂³	#3534	1	1	yes	characteristic
552	C₂³	#3534	1	1	yes	characteristic
553	C₂³	#3534	1	1	yes	characteristic
554	C₂³	#3534	1	1	yes	characteristic
555	C₂³	#3534	1	1	yes	characteristic
556	C₂³	#3534	1	1	yes	characteristic
557	C₂³	#3534	1	1	yes	characteristic
558	C₂³	#3534	1	1	yes	characteristic
559	C₂³	#3534	1	1	yes	characteristic
560	C₂³	#3534	1	1	yes	characteristic
561	C₂³	#3534	1	1	yes	characteristic
562	C₂³	#3534	1	1	yes	characteristic
563	C₂³	#3534	1	1	yes	characteristic
564	C₂³	#3534	1	1	yes	characteristic
565	C₂³	#3534	1	1	yes	characteristic
566	C₂³	#3534	1	1	yes	characteristic
567	C₂³	#3534	1	1	yes	characteristic
568	C₂³	#3534	1	1	yes	characteristic
569	C₂³	#3534	1	1	yes	characteristic
570	C₂³	#3537	1	1	yes	characteristic
571	C₂³	#3537	1	1	yes	characteristic
572	C₂³	#3537	1	1	yes	characteristic
573	C₂³	#3537	1	1	yes	characteristic
574	C₂³	#3537	1	1	yes	characteristic
575	C₂³	#3537	1	1	yes	characteristic
576	C₂³	#3537	1	1	yes	characteristic
577	C₂³	#3537	1	1	yes	characteristic
578	C₂³	#3537	1	1	yes	characteristic
579	C₂³	#3537	1	1	yes	characteristic
580	C₂³	#3537	1	1	yes	characteristic
581	C₂³	#3537	1	1	yes	characteristic
582	C₂³	#3537	1	1	yes	characteristic
583	C₂³	#3537	1	1	yes	characteristic
584	C₂³	#3537	1	1	yes	characteristic
585	C₂³	#3539	1	1	yes	characteristic
586	C₂³	#3540	1	1	yes	characteristic
587	C₂³	#3542	1	1	yes	characteristic
588	C₂³	#3542	1	1	yes	characteristic
589	C₂³	#3542	1	1	yes	characteristic
590	C₂³	#3542	1	1	yes	characteristic
591	C₂³	#3542	1	1	yes	characteristic
592	C₂³	#3542	1	1	yes	characteristic
593	C₂³	#3542	1	1	yes	characteristic
594	C₂³	#3542	1	1	yes	characteristic
595	C₂³	#3542	1	1	yes	characteristic
596	C₂³	#3542	1	1	yes	characteristic
597	C₂³	#3542	1	1	yes	characteristic
598	C₂³	#3542	1	1	yes	characteristic
599	C₂³	#3542	1	1	yes	characteristic
600	C₂³	#3543	1	1	yes	characteristic
601	C₂³	#3543	1	1	yes	characteristic
602	C₂³	#3545	1	1	yes	characteristic
603	C₂³	#3545	1	1	yes	characteristic
604	C₂³	#3546	1	1	yes	characteristic
605	C₂³	#3546	1	1	yes	characteristic
606	C₂³	#3551	1	1	yes	characteristic
607	C₂³	#3551	1	1	yes	characteristic
608	C₂³	#3558	1	1	yes	characteristic
609	C₂³	#3558	1	1	yes	characteristic
610	C₂³	#3558	1	1	yes	characteristic
611	C₂³	#3558	1	1	yes	characteristic
612	C₂³	#3558	1	1	yes	characteristic
613	C₂³	#3558	1	1	yes	characteristic
614	C₂³	#3558	1	1	yes	characteristic
615	C₂³	#3560	1	1	yes	characteristic
616	C₂³	#3560	1	1	yes	characteristic
617	C₂³	#3560	1	1	yes	characteristic
618	C₂³	#3560	1	1	yes	characteristic
619	C₂³	#3562	1	1	yes	characteristic
620	C₂³	#3562	1	1	yes	characteristic
621	C₂³	#3566	1	1	yes	characteristic
622	C₂²	#36779	1	1	yes	characteristic
623	C₂²	#36921	1	1	yes	characteristic
624	C₂²	#37154	1	1	yes	characteristic
625	C₂²	#37483	1	1	yes	characteristic
626	C₂²	#37693	1	1	yes	characteristic
627	C₂²	#37744	1	1	yes	characteristic
628	C₂²	#37746	1	1	yes	characteristic
629	C₂²	#37777	1	1	yes	characteristic
630	C₂²	#37834	1	1	yes	characteristic
631	C₂²	#38020	1	1	yes	characteristic
632	C₂²	#38053	1	1	yes	characteristic
633	C₂²	#38108	1	1	yes	characteristic
634	C₂²	#38500	1	1	yes	characteristic
635	C₂²	#38500	1	1	yes	characteristic
636	C₂²	#38545	1	1	yes	characteristic
637	C₂²	#38564	1	1	yes	characteristic
638	C₂²	#38577	1	1	yes	characteristic
639	C₂²	#38844	1	1	yes	characteristic
640	C₂²	#38856	1	1	yes	characteristic
641	C₂²	#38866	1	1	yes	characteristic
642	C₂²	#39036	1	1	yes	characteristic
643	C₂²	#39036	1	1	yes	characteristic
644	C₂²	#39046	1	1	yes	characteristic
645	C₂²	#39062	1	1	yes	characteristic
646	C₂²	#40381	1	1	yes	characteristic
647	C₂²	#40391	1	1	yes	characteristic
648	C₂²	#40486	1	1	yes	characteristic
649	C₂²	#40486	1	1	yes	characteristic
650	C₂²	#40585	1	1	yes	characteristic
651	C₂²	#40640	1	1	yes	characteristic
652	C₂²	#40720	1	1	yes	characteristic
653	C₂²	#40725	1	1	yes	characteristic
654	C₂²	#40780	1	1	yes	characteristic
655	C₂²	#40783	1	1	yes	characteristic
656	C₂²	#40783	1	1	yes	characteristic
657	C₂²	#40866	1	1	yes	characteristic
658	C₂²	#40871	1	1	yes	characteristic
659	C₂²	#40941	1	1	yes	characteristic
660	C₂²	#41148	1	1	yes	characteristic
661	C₂²	#41207	1	1	yes	characteristic
662	C₂²	#41231	1	1	yes	characteristic
663	C₂²	#41266	1	1	yes	characteristic
664	C₂²	#41981	1	1	yes	characteristic
665	C₂²	#42100	1	1	yes	characteristic
666	C₂²	#42997	1	1	yes	characteristic
667	C₂²	#43021	1	1	yes	characteristic
668	C₂²	#43077	1	1	yes	characteristic
669	C₂²	#43095	1	1	yes	characteristic
670	C₂²	#43096	1	1	yes	characteristic
671	C₂²	#43102	1	1	yes	characteristic
672	C₂²	#43102	1	1	yes	characteristic
673	C₂²	#43244	1	1	yes	characteristic
674	C₂²	#43267	1	1	yes	characteristic
675	C₂²	#43372	1	1	yes	characteristic
676	C₂²	#43392	1	1	yes	characteristic
677	C₂²	#43525	1	1	yes	characteristic
678	C₂²	#43530	1	1	yes	characteristic
679	C₂²	#43910	1	1	yes	characteristic
680	C₂²	#43910	1	1	yes	characteristic
681	C₂²	#44083	1	1	yes	characteristic
682	C₂²	#45188	1	1	yes	characteristic
683	C₂²	#45380	1	1	yes	characteristic
684	C₂²	#45448	1	1	yes	characteristic
685	C₂²	#45578	1	1	yes	characteristic
686	C₂²	#45584	1	1	yes	characteristic
687	C₂²	#45638	1	1	yes	characteristic
688	C₂²	#45732	1	1	yes	characteristic
689	C₂²	#45737	1	1	yes	characteristic
690	C₂²	#46271	1	1	yes	characteristic
691	C₂²	#46384	1	1	yes	characteristic
692	C₂²	#46604	1	1	yes	characteristic
693	C₂²	#46604	1	1	yes	characteristic
694	C₂²	#46612	1	1	yes	characteristic
695	C₂²	#46642	1	1	yes	characteristic
696	C₂²	#47042	1	1	yes	characteristic
697	C₂²	#47096	1	1	yes	characteristic
698	C₂²	#47170	1	1	yes	characteristic
699	C₂²	#47455	1	1	yes	characteristic
700	C₂²	#47796	1	1	yes	characteristic
701	C₂²	#47826	1	1	yes	characteristic
702	C₂²	#47838	1	1	yes	characteristic
703	C₂²	#47891	1	1	yes	characteristic
704	C₂²	#48057	1	1	yes	characteristic
705	C₂²	#48057	1	1	yes	characteristic
706	C₂²	#48085	1	1	yes	characteristic
707	C₂²	#48096	1	1	yes	characteristic
708	C₂²	#48144	1	1	yes	characteristic
709	C₂²	#48149	1	1	yes	characteristic
710	C₂²	#48311	1	1	yes	characteristic
711	C₂²	#48409	1	1	yes	characteristic
712	C₂²	#48667	1	1	yes	characteristic
713	C₂²	#48667	1	1	yes	characteristic
714	C₂²	#48924	1	1	yes	characteristic
715	C₂²	#49206	1	1	yes	characteristic
716	C₂²	#49633	1	1	yes	characteristic
717	C₂²	#49729	1	1	yes	characteristic
718	C₂²	#49751	1	1	yes	characteristic
719	C₂²	#49921	1	1	yes	characteristic
720	C₂²	#50015	1	1	yes	characteristic
721	C₂²	#50830	1	1	yes	characteristic
722	C₂²	#51780	1	1	yes	characteristic
723	C₂²	#51937	1	1	yes	characteristic
724	C₂²	#52004	1	1	yes	characteristic
725	C₂²	#52013	1	1	yes	characteristic
726	C₂²	#52032	1	1	yes	characteristic
727	C₂²	C₂×#2697	1	1	yes	characteristic
728	C₂²	#52313	1	1	yes	characteristic
729	C₂²	#52315	1	1	yes	characteristic
730	C₂²	#52471	1	1	yes	characteristic
731	C₂²	#52471	1	1	yes	characteristic
732	C₂²	#52475	1	1	yes	characteristic
733	C₂²	#52486	1	1	yes	characteristic
734	C₂²	#53179	1	1	yes	characteristic
735	C₂²	#53193	1	1	yes	characteristic
736	C₂²	#53390	1	1	yes	characteristic
737	C₂²	#53390	1	1	yes	characteristic
738	C₂²	#53453	1	1	yes	characteristic
739	C₂²	#53505	1	1	yes	characteristic
740	C₂²	#53612	1	1	yes	characteristic
741	C₂²	#53743	1	1	yes	characteristic
742	C₂²	#53836	1	1	yes	characteristic
743	C₂²	#54624	1	1	yes	characteristic
744	C₂²	#54920	1	1	yes	characteristic
745	C₂²	#54921	1	1	yes	characteristic
746	C₂²	#54923	1	1	yes	characteristic
747	C₂²	#54927	1	1	yes	characteristic
748	C₂²	#55034	1	1	yes	characteristic
749	C₂²	#55036	1	1	yes	characteristic
750	C₂²	#55044	1	1	yes	characteristic
751	C₂²	#55050	1	1	yes	characteristic
752	C₂²	#55057	1	1	yes	characteristic
753	C₂²	#55094	1	1	yes	characteristic
754	C₂²	#55680	1	1	yes	characteristic
755	C₂²	#55687	1	1	yes	characteristic
756	C₂²	#55737	1	1	yes	characteristic
757	C₂²	#56324	1	1	yes	characteristic
758	C₂²	#56346	1	1	yes	characteristic
759	C₂²	#56384	1	1	yes	characteristic
760	C₂²	#57591	1	1	yes	characteristic
761	C₂²	#57653	1	1	yes	characteristic
762	C₂²	#57965	1	1	yes	characteristic
763	C₂²	#57970	1	1	yes	characteristic
764	C₂²	#57971	1	1	yes	characteristic
765	C₂²	#57988	1	1	yes	characteristic
766	C₂²	#58075	1	1	yes	characteristic
767	C₂²	#58294	1	1	yes	characteristic
768	C₂²	#59006	1	1	yes	characteristic
769	C₂²	#59006	1	1	yes	characteristic
770	C₂²	#59089	1	1	yes	characteristic
771	C₂²	#59267	1	1	yes	characteristic
772	C₂²	#59267	1	1	yes	characteristic
773	C₂²	#59378	1	1	yes	characteristic
774	C₂²	#59468	1	1	yes	characteristic
775	C₂²	#59802	1	1	yes	characteristic
776	C₂²	#59802	1	1	yes	characteristic
777	C₂	#929665	1	1	yes	characteristic
778	C₂	#989137	1	1	yes	characteristic
779	C₂	#993381	1	1	yes	characteristic
780	C₂	#1584896	1	1	yes	characteristic
781	C₂	#1586434	1	1	yes	characteristic
782	C₂	#2071157	1	1	yes	characteristic
783	C₂	#2109561	1	1	yes	characteristic
784	C₂	#2490157	1	1	yes	characteristic
785	C₂	#2507549	1	1	yes	characteristic
786	C₂	#2516685	1	1	yes	characteristic
787	C₂	#2520257	1	1	yes	characteristic
788	C₂	#2520737	1	1	yes	characteristic
789	C₂	#2722239	1	1	yes	characteristic
790	C₂	#2800447	1	1	yes	characteristic
791	C₂	#2855437	1	1	yes	characteristic
792	C₂	#3336082	1	1	yes	characteristic
793	C₂	#3443353	1	1	yes	characteristic
794	C₂	#3497905	1	1	yes	characteristic
795	C₂	#3569630	1	1	yes	characteristic
796	C₂	#3857670	1	1	yes	characteristic
797	C₂	#3919770	1	1	yes	characteristic
798	C₂	#3962348	1	1	yes	characteristic
799	C₂	#4029463	1	1	yes	characteristic
800	C₂	#4034425	1	1	yes	characteristic
801	C₂	#4131810	1	1	yes	characteristic
802	C₂	#4516832	1	1	yes	characteristic
803	C₂	#4748854	1	1	yes	characteristic
804	C₂	#5486633	1	1	yes	characteristic
805	C₂	#5619591	1	1	yes	characteristic
806	C₂	#5785133	1	1	yes	characteristic
807	C₂	#6029623	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁵
prime radical	C₂×#15257	C₂
LCS	G ▷ C₂⁵ ▷ C₁
UCS	C₁ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂⁵ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#15369	C₂	semidirect
3. #160060	C₂	semidirect
4. #160059	C₂	semidirect
5. #160009	C₂	semidirect
6. #160006	C₂	semidirect
7. #159755	C₂	semidirect
8. #159423	C₂	semidirect
9. #159403	C₂	semidirect
10. #159228	C₂	semidirect
11. #157728	C₂	semidirect
12. #156910	C₂	semidirect
13. #156890	C₂	semidirect
14. #156882	C₂	semidirect
15. #156856	C₂	semidirect
16. #156814	C₂	semidirect
17. #156814	C₂	semidirect
18. #156694	C₂	semidirect
19. #156521	C₂	semidirect
20. #155941	C₂	semidirect
21. #155679	C₂	semidirect
22. #155629	C₂	semidirect
23. #155622	C₂	semidirect
24. #155065	C₂	semidirect
25. #154674	C₂	semidirect
26. #154670	C₂	semidirect
27. #154670	C₂	semidirect
28. #154670	C₂	semidirect
29. #154255	C₂	semidirect
30. #154197	C₂	semidirect
31. #154197	C₂	semidirect
48. C₂²×#386	C₂²	semidirect
49. C₂²×#386	C₂²	semidirect
50. C₂²×#386	C₂²	semidirect
51. C₂²×#381	C₂²	semidirect
57. C₂³×#95	C₂²	semidirect
58. C₂×#1443	C₂²	semidirect
59. C₂×#1443	C₂²	semidirect
60. C₂×#1443	C₂²	semidirect
61. C₂×#1443	C₂²	semidirect
62. C₂×#1442	C₂²	semidirect
63. C₂×#1441	C₂²	semidirect
75. C₂×#1440	C₂²	semidirect
84. C₂×#1439	C₂²	semidirect
85. C₂×#1439	C₂²	semidirect
86. C₂×#1439	C₂²	semidirect
87. C₂×#1439	C₂²	semidirect
107. C₂×#1438	C₂²	semidirect
108. C₂×C₂²⋊#95	C₂²	semidirect
109. C₂×C₂²⋊#95	C₂²	semidirect
110. C₂×C₂²⋊#95	C₂²	semidirect
111. C₂×C₂²⋊#95	C₂²	semidirect
112. C₂×C₂²⋊#95	C₂²	semidirect
113. C₂×C₂²⋊#95	C₂²	semidirect
114. C₂×C₂²⋊#95	C₂²	semidirect
115. C₂×C₂²⋊#95	C₂²	semidirect
116. C₂×C₂²⋊#95	C₂²	semidirect
117. #7557	C₂²	semidirect
118. #7557	C₂²	semidirect
119. #7557	C₂²	semidirect
120. #7557	C₂²	semidirect
121. #7557	C₂²	semidirect
122. #7556	C₂²	semidirect
123. #7556	C₂²	semidirect
124. #7556	C₂²	semidirect
125. #7556	C₂²	semidirect
126. #7556	C₂²	semidirect
127. #7556	C₂²	semidirect
128. #7556	C₂²	semidirect
129. #7556	C₂²	semidirect
130. #7556	C₂²	semidirect
131. #7556	C₂²	semidirect
132. #7556	C₂²	semidirect
133. #7556	C₂²	semidirect
134. #7556	C₂²	semidirect
135. #7556	C₂²	semidirect
136. #7556	C₂²	semidirect
137. #7556	C₂²	semidirect
138. #7556	C₂²	semidirect
139. #7556	C₂²	semidirect
140. #7556	C₂²	semidirect
141. #7556	C₂²	semidirect
142. #7556	C₂²	semidirect
143. #7556	C₂²	semidirect
144. #7556	C₂²	semidirect
145. #7556	C₂²	semidirect
146. #7556	C₂²	semidirect
179. #7555	C₂²	semidirect
180. #7555	C₂²	semidirect
181. #7555	C₂²	semidirect
182. #7555	C₂²	semidirect
183. #7555	C₂²	semidirect
184. #7555	C₂²	semidirect
185. #7555	C₂²	semidirect
186. #7555	C₂²	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15369	2
C₂×#15257	2
#160060	2
#160059	2
#160009	2
#160006	2
#159755	2
#159423	2
#159403	2
#159228	2
#157728	2
#156910	2
#156890	2
#156882	2
#156856	2
#156814	2
#156694	2
#156521	2
#155941	2
#155679	2
#155629	2
#155622	2
#155065	2
#154674	2
#154670	2
#154255	2
#154197	2