Subgroups — #72335618

Order 1024.

At least 8242 conjugacy classes of subgroups; only the 1689 normal subgroups are shown.

The subgroup lattice has 980 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#2847	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#2424	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#15263	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14757	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14718	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14716	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14694	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14023	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13975	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
11	#156829	C₂	1	1	yes	maximal, characteristic, complemented
12	#156828	C₂	1	1	yes	maximal, characteristic, complemented
13	#156827	C₂	1	1	yes	maximal, characteristic, complemented
14	#156826	C₂	1	1	yes	maximal, characteristic, complemented
15	#156825	C₂	1	1	yes	maximal, characteristic, complemented
16	#156824	C₂	1	1	yes	maximal, characteristic, complemented
17	#156823	C₂	1	1	yes	maximal, characteristic, complemented
18	#156706	C₂	1	1	yes	maximal, characteristic, complemented
19	#155241	C₂	1	1	yes	maximal, characteristic, complemented
20	#155065	C₂	1	1	yes	maximal, characteristic, complemented
21	#155055	C₂	1	1	yes	maximal, characteristic, complemented
22	#154810	C₂	1	1	yes	maximal, characteristic, complemented
23	#154729	C₂	1	1	yes	maximal, characteristic, complemented
24	#154684	C₂	1	1	yes	maximal, characteristic, complemented
25	#154674	C₂	1	1	yes	maximal, characteristic, complemented
26	#154255	C₂	1	1	yes	maximal, characteristic, complemented
27	#154255	C₂	1	1	yes	maximal, characteristic, complemented
28	#154254	C₂	1	1	yes	maximal, characteristic, complemented
29	#154208	C₂	1	1	yes	maximal, characteristic, complemented
30	#154208	C₂	1	1	yes	maximal, characteristic, complemented
31	#154195	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁶×C₄	C₂²	1	1	yes	characteristic
33	C₂³×#121	C₂²	1	1	yes	characteristic
34	C₂³×#121	C₂²	1	1	yes	characteristic
35	C₂³×#121	C₂²	1	1	yes	characteristic
36	C₂³×#121	C₂²	1	1	yes	characteristic
37	C₂³×#121	C₂²	1	1	yes	characteristic
38	C₂³×#121	C₂²	1	1	yes	characteristic
39	C₂³×#120	C₂²	1	1	yes	characteristic
40	C₂³×#120	C₂²	1	1	yes	characteristic
41	C₂³×#120	C₂²	1	1	yes	characteristic
42	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
43	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂²×#396	C₂²	1	1	yes	characteristic
46	C₂²×#394	C₂²	1	1	yes	characteristic
47	C₂²×#394	C₂²	1	1	yes	characteristic
48	C₂²×#394	C₂²	1	1	yes	characteristic
49	C₂²×#394	C₂²	1	1	yes	characteristic
50	C₂²×#392	C₂²	1	1	yes	characteristic
51	C₂²×#392	C₂²	1	1	yes	characteristic
52	C₂²×#392	C₂²	1	1	yes	characteristic
53	C₂²×#392	C₂²	1	1	yes	characteristic, complemented
54	C₂²×#390	C₂²	1	1	yes	characteristic
55	C₂²×#388	C₂²	1	1	yes	characteristic
56	C₂²×#386	C₂²	1	1	yes	characteristic
57	C₂²×#386	C₂²	1	1	yes	characteristic
58	C₂²×#386	C₂²	1	1	yes	characteristic
59	C₂²×#386	C₂²	1	1	yes	characteristic
60	C₂²×#386	C₂²	1	1	yes	characteristic
61	C₂²×#386	C₂²	1	1	yes	characteristic
62	C₂²×#386	C₂²	1	1	yes	characteristic
63	C₂²×#386	C₂²	1	1	yes	characteristic
64	C₂²×#386	C₂²	1	1	yes	characteristic
65	C₂²×#386	C₂²	1	1	yes	characteristic
66	C₂²×#386	C₂²	1	1	yes	characteristic
67	C₂²×#386	C₂²	1	1	yes	characteristic
68	C₂²×#386	C₂²	1	1	yes	characteristic
69	C₂²×#386	C₂²	1	1	yes	characteristic
70	C₂²×#386	C₂²	1	1	yes	characteristic
71	C₂²×#386	C₂²	1	1	yes	characteristic
72	C₂²×#386	C₂²	1	1	yes	characteristic
73	C₂²×#386	C₂²	1	1	yes	characteristic
74	C₂²×#386	C₂²	1	1	yes	characteristic
75	C₂²×#386	C₂²	1	1	yes	characteristic
76	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
77	C₂²×#385	C₂²	1	1	yes	characteristic
78	C₂²×#385	C₂²	1	1	yes	characteristic
79	C₂²×#385	C₂²	1	1	yes	characteristic, complemented
80	C₂²×#380	C₂²	1	1	yes	characteristic
81	C₂²×#380	C₂²	1	1	yes	characteristic
82	C₂²×#380	C₂²	1	1	yes	characteristic
83	C₂²×#379	C₂²	1	1	yes	characteristic
84	C₂³×#95	C₂²	1	1	yes	characteristic
85	C₂³×#95	C₂²	1	1	yes	characteristic
86	C₂³×#95	C₂²	1	1	yes	characteristic
87	C₂³×#95	C₂²	1	1	yes	characteristic
88	C₂×#1444	C₂²	1	1	yes	characteristic, complemented
89	C₂×#1444	C₂²	1	1	yes	characteristic, complemented
90	C₂×#1442	C₂²	1	1	yes	characteristic, complemented
91	C₂×#1441	C₂²	1	1	yes	characteristic, complemented
92	C₂×#1441	C₂²	1	1	yes	characteristic, complemented
93	C₂×#1441	C₂²	1	1	yes	characteristic, complemented
94	C₂×#1440	C₂²	1	1	yes	characteristic
95	C₂×#1440	C₂²	1	1	yes	characteristic
96	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
97	C₂×#1439	C₂²	1	1	yes	characteristic
98	C₂×#1439	C₂²	1	1	yes	characteristic
99	C₂×#1439	C₂²	1	1	yes	characteristic
100	C₂×#1439	C₂²	1	1	yes	characteristic
101	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
102	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
103	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
104	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
105	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
106	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
107	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
108	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
109	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
110	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
111	C₂×#1438	C₂²	1	1	yes	characteristic
112	C₂×#1438	C₂²	1	1	yes	characteristic
113	C₂×#1438	C₂²	1	1	yes	characteristic
114	C₂×#1438	C₂²	1	1	yes	characteristic
115	C₂×#1438	C₂²	1	1	yes	characteristic
116	C₂×#1438	C₂²	1	1	yes	characteristic
117	C₂×#1438	C₂²	1	1	yes	characteristic
118	C₂×#1438	C₂²	1	1	yes	characteristic
119	C₂×#1438	C₂²	1	1	yes	characteristic
120	C₂×#1438	C₂²	1	1	yes	characteristic
121	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
122	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
123	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
124	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
125	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
126	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
127	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
128	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
129	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
130	C₂×#1436	C₂²	1	1	yes	characteristic, complemented
131	C₂×#1436	C₂²	1	1	yes	characteristic, complemented
132	C₂×#1436	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
134	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
135	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
136	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
137	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
138	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
139	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
140	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
141	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
142	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
143	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
144	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
145	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
146	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
147	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
148	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
149	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
150	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
151	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
153	#7557	C₂²	1	1	yes	characteristic, complemented
154	#7557	C₂²	1	1	yes	characteristic, complemented
155	#7557	C₂²	1	1	yes	characteristic, complemented
156	#7557	C₂²	1	1	yes	characteristic, complemented
157	#7557	C₂²	1	1	yes	characteristic, complemented
158	#7557	C₂²	1	1	yes	characteristic, complemented
159	#7557	C₂²	1	1	yes	characteristic, complemented
160	#7557	C₂²	1	1	yes	characteristic, complemented
161	#7557	C₂²	1	1	yes	characteristic, complemented
162	#7557	C₂²	1	1	yes	characteristic, complemented
163	#7557	C₂²	1	1	yes	characteristic, complemented
164	#7557	C₂²	1	1	yes	characteristic, complemented
165	#7556	C₂²	1	1	yes	characteristic, complemented
166	#7556	C₂²	1	1	yes	characteristic, complemented
167	#7556	C₂²	1	1	yes	characteristic, complemented
168	#7556	C₂²	1	1	yes	characteristic, complemented
169	#7556	C₂²	1	1	yes	characteristic, complemented
170	#7556	C₂²	1	1	yes	characteristic, complemented
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, complemented
176	#7555	C₂²	1	1	yes	characteristic, complemented
177	#7555	C₂²	1	1	yes	characteristic, complemented
178	#7555	C₂²	1	1	yes	characteristic, complemented
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	C₂⁴×D₄	C₂³	1	1	yes	characteristic
196	C₂⁴×D₄	C₂³	1	1	yes	characteristic
197	C₂⁴×D₄	C₂³	1	1	yes	characteristic
198	C₂⁴×D₄	C₂³	1	1	yes	characteristic
199	C₂⁴×D₄	C₂³	1	1	yes	characteristic
200	C₂⁵×C₄	C₂³	1	1	yes	characteristic
201	C₂⁵×C₄	C₂³	1	1	yes	characteristic
202	C₂⁵×C₄	C₂³	1	1	yes	characteristic
203	C₂⁵×C₄	C₂³	1	1	yes	characteristic
204	C₂⁵×C₄	C₂³	1	1	yes	characteristic
205	C₂⁵×C₄	C₂³	1	1	yes	characteristic
206	C₂⁵×C₄	C₂³	1	1	yes	characteristic
207	C₂⁵×C₄	C₂³	1	1	yes	characteristic
208	C₂⁵×C₄	C₂³	1	1	yes	characteristic
209	C₂⁵×C₄	C₂³	1	1	yes	characteristic
210	C₂⁵×C₄	C₂³	1	1	yes	characteristic
211	C₂²×#120	D₄	1	8	yes	complemented
212	C₂²×#120	D₄	1	8	yes	complemented
213	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₂²⋊C₄	D₄	1	8	yes	complemented
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	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂³×C₄²	C₂³	1	1	yes	characteristic
277	C₂×#386	D₄	1	8	yes	complemented
278	C₂×#386	D₄	1	8	yes	complemented
279	C₂×#380	D₄	1	8	yes	complemented
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	C₂²×#95	C₂³	1	1	yes	characteristic
344	C₂²×#95	C₂³	1	1	yes	characteristic
345	C₂²×#95	C₂³	1	1	yes	characteristic
346	C₂²×#95	C₂³	1	1	yes	characteristic
347	C₂²×#95	C₂³	1	1	yes	characteristic
348	C₂²⋊#95	D₄	1	8	yes	complemented
349	C₂⁶	C₂×D₄	1	4	yes	—
350	C₂⁶	C₂×D₄	1	4	yes	—
351	C₂⁶	C₂×D₄	1	4	yes	—
352	C₂⁶	C₂⁴	1	1	yes	characteristic
353	C₂⁶	C₂⁴	1	1	yes	characteristic
354	C₂⁶	C₂⁴	1	1	yes	characteristic
355	C₂⁶	C₂⁴	1	1	yes	characteristic
356	C₂⁶	C₂⁴	1	1	yes	characteristic
357	C₂⁶	C₂⁴	1	1	yes	characteristic
358	C₂³×D₄	C₂×D₄	1	4	yes	—
359	C₂³×D₄	C₂×D₄	1	4	yes	—
360	C₂³×D₄	C₂×D₄	1	4	yes	—
361	C₂³×D₄	C₂×D₄	1	4	yes	—
362	C₂³×D₄	C₂×D₄	1	4	yes	—
363	C₂³×D₄	C₂×D₄	1	4	yes	—
364	C₂³×D₄	C₂×D₄	1	4	yes	—
365	C₂³×D₄	C₂×D₄	1	4	yes	—
366	C₂³×D₄	#41	1	4	yes	—
367	C₂⁴×C₄	C₂×D₄	1	4	yes	—
368	C₂⁴×C₄	C₂×D₄	1	4	yes	—
369	C₂⁴×C₄	C₂×D₄	1	4	yes	—
370	C₂⁴×C₄	C₂×D₄	1	4	yes	—
371	C₂⁴×C₄	C₂×D₄	1	4	yes	—
372	C₂⁴×C₄	C₂×D₄	1	4	yes	—
373	C₂⁴×C₄	#41	1	4	yes	—
374	C₂⁴×C₄	#41	1	4	yes	—
375	C₂⁴×C₄	#41	1	4	yes	—
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	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
391	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
392	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
395	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
398	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
399	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄⋊C₄	C₂×D₄	1	4	yes	—
402	C₂²×C₄⋊C₄	C₂×D₄	1	4	yes	—
403	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
404	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
405	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
406	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
407	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
408	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
409	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
410	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
411	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
412	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
413	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
414	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
415	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
416	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
417	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
418	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
419	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
420	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
421	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
422	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
423	C₂²×C₂²⋊C₄	#41	1	4	yes	—
424	C₂²×C₂²⋊C₄	#41	1	4	yes	—
425	C₂×#95	C₂×D₄	1	4	yes	—
426	C₂×#95	C₂×D₄	1	4	yes	—
427	C₂×#95	C₂×D₄	1	4	yes	—
428	C₂×#95	C₂×D₄	1	4	yes	—
429	C₂×#95	C₂×D₄	1	4	yes	—
430	C₂×#95	C₂×D₄	1	4	yes	—
431	C₂×#95	C₂×D₄	1	4	yes	—
432	C₂×#95	C₂×D₄	1	4	yes	—
433	C₂×#95	C₂×D₄	1	4	yes	—
434	C₂×#95	C₂×D₄	1	4	yes	—
435	C₂⁵	#120	1	16	yes	—
436	C₂⁵	C₂²×D₄	1	2	yes	—
437	C₂⁵	C₂²×D₄	1	2	yes	—
438	C₂⁵	C₂²×D₄	1	2	yes	—
439	C₂⁵	C₂²×D₄	1	2	yes	—
440	C₂⁵	C₂²×D₄	1	2	yes	—
441	C₂⁵	C₂²×D₄	1	2	yes	—
442	C₂⁵	C₂²×D₄	1	2	yes	—
443	C₂⁵	C₂²×D₄	1	2	yes	—
444	C₂⁵	C₂²×D₄	1	2	yes	—
445	C₂⁵	C₂²×D₄	1	2	yes	—
446	C₂⁵	C₂²×D₄	1	2	yes	—
447	C₂⁵	C₂²×D₄	1	2	yes	—
448	C₂⁵	C₂²×D₄	1	2	yes	—
449	C₂⁵	C₂²×D₄	1	2	yes	—
450	C₂⁵	C₂²×D₄	1	2	yes	—
451	C₂⁵	C₂²×D₄	1	2	yes	—
452	C₂⁵	C₂²×D₄	1	2	yes	—
453	C₂⁵	C₂×#41	1	2	yes	—
454	C₂⁵	C₂×#41	1	2	yes	—
455	C₂⁵	C₂×#41	1	2	yes	—
456	C₂⁵	C₂×#41	1	2	yes	—
457	C₂⁵	C₂×#41	1	2	yes	—
458	C₂⁵	C₂×#41	1	2	yes	—
459	C₂⁵	C₂×#41	1	2	yes	—
460	C₂⁵	H(5,𝔽₂)	1	2	yes	—
461	C₂⁵	H(5,𝔽₂)	1	2	yes	—
462	C₂⁵	H(5,𝔽₂)	1	2	yes	—
463	C₂⁵	H(5,𝔽₂)	1	2	yes	—
464	C₂⁵	H(5,𝔽₂)	1	2	yes	—
465	C₂⁵	H(5,𝔽₂)	1	2	yes	—
466	C₂⁵	H(5,𝔽₂)	1	2	yes	—
467	C₂⁵	H(5,𝔽₂)	1	2	yes	—
468	C₂⁵	2₋¹⁺⁴	1	2	yes	—
469	C₂⁵	2₋¹⁺⁴	1	2	yes	—
470	C₂⁵	C₂⁵	1	1	yes	characteristic
471	C₂²×D₄	#121	1	16	yes	complemented
472	C₂³×C₄	#121	1	16	yes	complemented
473	C₂³×C₄	C₂²×D₄	1	2	yes	—
474	C₂³×C₄	C₂²×D₄	1	2	yes	—
475	C₂³×C₄	C₂²×D₄	1	2	yes	—
476	C₂³×C₄	C₂²×D₄	1	2	yes	—
477	C₂³×C₄	C₂²×D₄	1	2	yes	—
478	C₂³×C₄	C₂²×D₄	1	2	yes	—
479	C₂³×C₄	C₂²×D₄	1	2	yes	—
480	C₂³×C₄	C₂²×D₄	1	2	yes	—
481	C₂³×C₄	C₂²×D₄	1	2	yes	—
482	C₂³×C₄	C₂²×D₄	1	2	yes	—
483	C₂³×C₄	C₂²×D₄	1	2	yes	—
484	C₂³×C₄	C₂²×D₄	1	2	yes	—
485	C₂³×C₄	C₂²×D₄	1	2	yes	—
486	C₂³×C₄	C₂²×D₄	1	2	yes	—
487	C₂³×C₄	C₂²×D₄	1	2	yes	—
488	C₂³×C₄	C₂²×D₄	1	2	yes	—
489	C₂³×C₄	C₂²×D₄	1	2	yes	—
490	C₂³×C₄	C₂²×D₄	1	2	yes	—
491	C₂³×C₄	C₂²×D₄	1	2	yes	—
492	C₂³×C₄	C₂²×D₄	1	2	yes	—
493	C₂³×C₄	C₂²×D₄	1	2	yes	—
494	C₂³×C₄	C₂²×D₄	1	2	yes	—
495	C₂³×C₄	C₂²×D₄	1	2	yes	—
496	C₂³×C₄	C₂²×D₄	1	2	yes	—
497	C₂³×C₄	C₂²×D₄	1	2	yes	—
498	C₂³×C₄	C₂²×D₄	1	2	yes	—
499	C₂³×C₄	C₂²×D₄	1	2	yes	—
500	C₂³×C₄	C₂²×D₄	1	2	yes	—
501	C₂³×C₄	C₂²×D₄	1	2	yes	—
502	C₂³×C₄	C₂²×D₄	1	2	yes	—
503	C₂³×C₄	C₂²×D₄	1	2	yes	—
504	C₂³×C₄	C₂²×D₄	1	2	yes	—
505	C₂³×C₄	C₂×#41	1	2	yes	—
506	C₂³×C₄	C₂×#41	1	2	yes	—
507	C₂³×C₄	C₂×#41	1	2	yes	—
508	C₂³×C₄	C₂×#41	1	2	yes	—
509	C₂³×C₄	C₂×#41	1	2	yes	—
510	C₂³×C₄	C₂×#41	1	2	yes	—
511	C₂³×C₄	C₂×#41	1	2	yes	—
512	C₂³×C₄	C₂×#41	1	2	yes	—
513	C₂³×C₄	C₂×#41	1	2	yes	—
514	C₂³×C₄	C₂×#41	1	2	yes	—
515	C₂³×C₄	C₂×#41	1	2	yes	—
516	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
517	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
518	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
519	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
520	C₂×C₂²⋊C₄	#120	1	16	yes	—
521	C₂×C₂²⋊C₄	#121	1	16	yes	complemented
522	C₂⁴	C₂×#120	1	4	yes	—
523	C₂⁴	C₂×#120	1	4	yes	—
524	C₂⁴	C₂×#120	1	4	yes	—
525	C₂⁴	C₂×#120	1	4	yes	—
526	C₂⁴	C₂×#121	1	4	yes	—
527	C₂⁴	C₂×#121	1	4	yes	—
528	C₂⁴	C₂×#121	1	4	yes	—
529	C₂⁴	C₂×#121	1	4	yes	—
530	C₂⁴	#525	1	4	yes	—
531	C₂⁴	#532	1	4	yes	—
532	C₂⁴	#532	1	4	yes	—
533	C₂⁴	#534	1	4	yes	—
534	C₂⁴	#534	1	4	yes	—
535	C₂⁴	#534	1	4	yes	—
536	C₂⁴	#535	1	4	yes	—
537	C₂⁴	#537	1	4	yes	—
538	C₂⁴	#537	1	4	yes	—
539	C₂⁴	#537	1	4	yes	—
540	C₂⁴	#537	1	4	yes	—
541	C₂⁴	#538	1	4	yes	—
542	C₂⁴	#540	1	4	yes	—
543	C₂⁴	#540	1	4	yes	—
544	C₂⁴	D₄²	1	4	yes	—
545	C₂⁴	D₄²	1	4	yes	—
546	C₂⁴	D₄²	1	4	yes	—
547	C₂⁴	D₄²	1	4	yes	—
548	C₂⁴	D₄²	1	4	yes	—
549	C₂⁴	D₄²	1	4	yes	—
550	C₂⁴	D₄²	1	4	yes	—
551	C₂⁴	D₄²	1	4	yes	—
552	C₂⁴	D₄²	1	4	yes	—
553	C₂⁴	#546	1	4	yes	—
554	C₂⁴	#546	1	4	yes	—
555	C₂⁴	#546	1	4	yes	—
556	C₂⁴	#546	1	4	yes	—
557	C₂⁴	#546	1	4	yes	—
558	C₂⁴	#546	1	4	yes	—
559	C₂⁴	#546	1	4	yes	—
560	C₂⁴	#546	1	4	yes	—
561	C₂⁴	#546	1	4	yes	—
562	C₂⁴	#546	1	4	yes	—
563	C₂⁴	#547	1	4	yes	—
564	C₂⁴	#547	1	4	yes	—
565	C₂⁴	#547	1	4	yes	—
566	C₂⁴	#547	1	4	yes	—
567	C₂⁴	#548	1	4	yes	—
568	C₂⁴	#550	1	4	yes	—
569	C₂⁴	#553	1	4	yes	—
570	C₂⁴	#560	1	4	yes	—
571	C₂⁴	#562	1	4	yes	—
572	C₂⁴	C₂³×D₄	1	1	yes	characteristic
573	C₂⁴	C₂³×D₄	1	1	yes	characteristic
574	C₂⁴	C₂³×D₄	1	1	yes	characteristic
575	C₂⁴	C₂³×D₄	1	1	yes	characteristic
576	C₂⁴	C₂³×D₄	1	1	yes	characteristic
577	C₂⁴	C₂³×D₄	1	1	yes	characteristic
578	C₂⁴	C₂³×D₄	1	1	yes	characteristic
579	C₂⁴	C₂²×#41	1	1	yes	characteristic
580	C₂⁴	C₂²×#41	1	1	yes	characteristic
581	C₂⁴	C₂²×#41	1	1	yes	characteristic
582	C₂⁴	C₂²×#41	1	1	yes	characteristic
583	C₂⁴	C₂²×#41	1	1	yes	characteristic
584	C₂⁴	C₂²×#41	1	1	yes	characteristic
585	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
586	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
587	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
588	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
589	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
590	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
591	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
592	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
593	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
594	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
595	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
596	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
597	C₂⁴	C₂×2₋¹⁺⁴	1	1	yes	characteristic
598	C₂⁴	C₂×2₋¹⁺⁴	1	1	yes	characteristic
599	C₂⁴	#585	1	1	yes	characteristic
600	C₂⁴	#585	1	1	yes	characteristic
601	C₂⁴	#585	1	1	yes	characteristic
602	C₂⁴	#585	1	1	yes	characteristic
603	C₂²×C₄	C₂×#120	1	4	yes	—
604	C₂²×C₄	C₂×#120	1	4	yes	—
605	C₂²×C₄	C₂×#121	1	4	yes	—
606	C₂²×C₄	C₂×#121	1	4	yes	—
607	C₂²×C₄	C₂×#121	1	4	yes	—
608	C₂²×C₄	C₂×#121	1	4	yes	—
609	C₂²×C₄	C₂×#121	1	4	yes	—
610	C₂²×C₄	#525	1	4	yes	—
611	C₂²×C₄	#525	1	4	yes	—
612	C₂²×C₄	#538	1	4	yes	—
613	C₂²×C₄	D₄²	1	4	yes	—
614	C₂²×C₄	D₄²	1	4	yes	—
615	C₂²×C₄	D₄²	1	4	yes	—
616	C₂²×C₄	#546	1	4	yes	—
617	C₂²×C₄	#546	1	4	yes	—
618	C₂²×C₄	#546	1	4	yes	—
619	C₂³	#2403	1	8	yes	—
620	C₂³	#2407	1	8	yes	—
621	C₂³	#2408	1	8	yes	—
622	C₂³	#2410	1	8	yes	—
623	C₂³	#2410	1	8	yes	—
624	C₂³	#2416	1	8	yes	—
625	C₂³	#2424	1	8	yes	—
626	C₂³	#2428	1	8	yes	—
627	C₂³	#2430	1	8	yes	—
628	C₂³	#2430	1	8	yes	—
629	C₂³	#2464	1	8	yes	—
630	C₂³	#2671	1	8	yes	—
631	C₂³	#2671	1	8	yes	—
632	C₂³	#2673	1	8	yes	—
633	C₂³	#2675	1	8	yes	—
634	C₂³	#2676	1	8	yes	—
635	C₂³	#2688	1	8	yes	—
636	C₂³	C₂²×#120	1	1	yes	characteristic
637	C₂³	C₂²×#120	1	1	yes	characteristic
638	C₂³	C₂²×#121	1	1	yes	characteristic
639	C₂³	C₂²×#121	1	1	yes	characteristic
640	C₂³	C₂²×#121	1	1	yes	characteristic
641	C₂³	C₂×#525	1	1	yes	characteristic
642	C₂³	C₂×#525	1	1	yes	characteristic
643	C₂³	C₂×#525	1	1	yes	characteristic
644	C₂³	C₂×#532	1	1	yes	characteristic
645	C₂³	C₂×#532	1	1	yes	characteristic
646	C₂³	#3444	1	1	yes	characteristic
647	C₂³	#3444	1	1	yes	characteristic
648	C₂³	C₂×#534	1	1	yes	characteristic
649	C₂³	C₂×#534	1	1	yes	characteristic
650	C₂³	C₂×#534	1	1	yes	characteristic
651	C₂³	C₂×#535	1	1	yes	characteristic
652	C₂³	C₂×#537	1	1	yes	characteristic
653	C₂³	C₂×#537	1	1	yes	characteristic
654	C₂³	C₂×#537	1	1	yes	characteristic
655	C₂³	C₂×#537	1	1	yes	characteristic
656	C₂³	C₂×#538	1	1	yes	characteristic
657	C₂³	C₂×#538	1	1	yes	characteristic
658	C₂³	C₂×#540	1	1	yes	characteristic
659	C₂³	C₂×#540	1	1	yes	characteristic
660	C₂³	#3455	1	1	yes	characteristic
661	C₂³	#3459	1	1	yes	characteristic
662	C₂³	#3460	1	1	yes	characteristic
663	C₂³	C₂×D₄²	1	1	yes	characteristic
664	C₂³	C₂×D₄²	1	1	yes	characteristic
665	C₂³	C₂×D₄²	1	1	yes	characteristic
666	C₂³	C₂×D₄²	1	1	yes	characteristic
667	C₂³	C₂×D₄²	1	1	yes	characteristic
668	C₂³	C₂×D₄²	1	1	yes	characteristic
669	C₂³	C₂×D₄²	1	1	yes	characteristic
670	C₂³	C₂×D₄²	1	1	yes	characteristic
671	C₂³	C₂×D₄²	1	1	yes	characteristic
672	C₂³	C₂×D₄²	1	1	yes	characteristic
673	C₂³	C₂×D₄²	1	1	yes	characteristic
674	C₂³	C₂×D₄²	1	1	yes	characteristic
675	C₂³	C₂×#546	1	1	yes	characteristic
676	C₂³	C₂×#546	1	1	yes	characteristic
677	C₂³	C₂×#546	1	1	yes	characteristic
678	C₂³	C₂×#546	1	1	yes	characteristic
679	C₂³	C₂×#546	1	1	yes	characteristic
680	C₂³	C₂×#546	1	1	yes	characteristic
681	C₂³	C₂×#546	1	1	yes	characteristic
682	C₂³	C₂×#546	1	1	yes	characteristic
683	C₂³	C₂×#546	1	1	yes	characteristic
684	C₂³	C₂×#546	1	1	yes	characteristic
685	C₂³	C₂×#546	1	1	yes	characteristic
686	C₂³	C₂×#546	1	1	yes	characteristic
687	C₂³	C₂×#546	1	1	yes	characteristic
688	C₂³	C₂×#547	1	1	yes	characteristic
689	C₂³	C₂×#547	1	1	yes	characteristic
690	C₂³	C₂×#547	1	1	yes	characteristic
691	C₂³	C₂×#547	1	1	yes	characteristic
692	C₂³	C₂×#548	1	1	yes	characteristic
693	C₂³	C₂×#550	1	1	yes	characteristic
694	C₂³	D₄×#41	1	1	yes	characteristic
695	C₂³	D₄×#41	1	1	yes	characteristic
696	C₂³	D₄×#41	1	1	yes	characteristic
697	C₂³	D₄×#41	1	1	yes	characteristic
698	C₂³	D₄×#41	1	1	yes	characteristic
699	C₂³	D₄×#41	1	1	yes	characteristic
700	C₂³	D₄×#41	1	1	yes	characteristic
701	C₂³	C₂×#553	1	1	yes	characteristic
702	C₂³	#3475	1	1	yes	characteristic
703	C₂³	#3481	1	1	yes	characteristic
704	C₂³	#3481	1	1	yes	characteristic
705	C₂³	#3484	1	1	yes	characteristic
706	C₂³	#3484	1	1	yes	characteristic
707	C₂³	#3484	1	1	yes	characteristic
708	C₂³	#3484	1	1	yes	characteristic
709	C₂³	#3484	1	1	yes	characteristic
710	C₂³	#3484	1	1	yes	characteristic
711	C₂³	#3484	1	1	yes	characteristic
712	C₂³	#3484	1	1	yes	characteristic
713	C₂³	#3484	1	1	yes	characteristic
714	C₂³	#3484	1	1	yes	characteristic
715	C₂³	#3485	1	1	yes	characteristic
716	C₂³	#3485	1	1	yes	characteristic
717	C₂³	#3486	1	1	yes	characteristic
718	C₂³	#3488	1	1	yes	characteristic
719	C₂³	#3488	1	1	yes	characteristic
720	C₂³	#3488	1	1	yes	characteristic
721	C₂³	#3488	1	1	yes	characteristic
722	C₂³	#3488	1	1	yes	characteristic
723	C₂³	#3488	1	1	yes	characteristic
724	C₂³	#3489	1	1	yes	characteristic
725	C₂³	#3489	1	1	yes	characteristic
726	C₂³	#3489	1	1	yes	characteristic
727	C₂³	#3490	1	1	yes	characteristic
728	C₂³	#3490	1	1	yes	characteristic
729	C₂³	#3490	1	1	yes	characteristic
730	C₂³	#3490	1	1	yes	characteristic
731	C₂³	#3490	1	1	yes	characteristic
732	C₂³	#3490	1	1	yes	characteristic
733	C₂³	#3492	1	1	yes	characteristic
734	C₂³	#3492	1	1	yes	characteristic
735	C₂³	#3492	1	1	yes	characteristic
736	C₂³	#3492	1	1	yes	characteristic
737	C₂³	#3492	1	1	yes	characteristic
738	C₂³	#3492	1	1	yes	characteristic
739	C₂³	#3493	1	1	yes	characteristic
740	C₂³	#3494	1	1	yes	characteristic
741	C₂³	#3494	1	1	yes	characteristic
742	C₂³	#3494	1	1	yes	characteristic
743	C₂³	#3496	1	1	yes	characteristic
744	C₂³	#3496	1	1	yes	characteristic
745	C₂³	#3496	1	1	yes	characteristic
746	C₂³	#3496	1	1	yes	characteristic
747	C₂³	#3496	1	1	yes	characteristic
748	C₂³	#3496	1	1	yes	characteristic
749	C₂³	#3496	1	1	yes	characteristic
750	C₂³	#3496	1	1	yes	characteristic
751	C₂³	#3505	1	1	yes	characteristic
752	C₂³	#3506	1	1	yes	characteristic
753	C₂³	#3513	1	1	yes	characteristic
754	C₂³	#3513	1	1	yes	characteristic
755	C₂³	#3513	1	1	yes	characteristic
756	C₂³	#3513	1	1	yes	characteristic
757	C₂³	#3519	1	1	yes	characteristic
758	C₂³	#3519	1	1	yes	characteristic
759	C₂³	#3519	1	1	yes	characteristic
760	C₂³	#3519	1	1	yes	characteristic
761	C₂³	#3519	1	1	yes	characteristic
762	C₂³	#3519	1	1	yes	characteristic
763	C₂³	#3519	1	1	yes	characteristic
764	C₂³	#3520	1	1	yes	characteristic
765	C₂³	C₂×#560	1	1	yes	characteristic
766	C₂³	C₂×#562	1	1	yes	characteristic
767	C₂³	#3532	1	1	yes	characteristic
768	C₂³	#3532	1	1	yes	characteristic
769	C₂³	#3532	1	1	yes	characteristic
770	C₂³	#3532	1	1	yes	characteristic
771	C₂³	#3533	1	1	yes	characteristic
772	C₂³	#3533	1	1	yes	characteristic
773	C₂³	#3534	1	1	yes	characteristic
774	C₂³	#3534	1	1	yes	characteristic
775	C₂³	#3534	1	1	yes	characteristic
776	C₂³	#3534	1	1	yes	characteristic
777	C₂³	#3534	1	1	yes	characteristic
778	C₂³	#3534	1	1	yes	characteristic
779	C₂³	#3534	1	1	yes	characteristic
780	C₂³	#3535	1	1	yes	characteristic
781	C₂³	#3536	1	1	yes	characteristic
782	C₂³	#3536	1	1	yes	characteristic
783	C₂³	#3536	1	1	yes	characteristic
784	C₂³	#3537	1	1	yes	characteristic
785	C₂³	#3537	1	1	yes	characteristic
786	C₂³	#3537	1	1	yes	characteristic
787	C₂³	#3541	1	1	yes	characteristic
788	C₂³	#3541	1	1	yes	characteristic
789	C₂³	#3541	1	1	yes	characteristic
790	C₂³	#3541	1	1	yes	characteristic
791	C₂×C₄	#2424	1	8	yes	complemented
792	C₂²	#15263	1	16	yes	complemented
793	C₂²	C₂×#2403	1	1	yes	characteristic
794	C₂²	C₂×#2410	1	1	yes	characteristic
795	C₂²	C₂×#2410	1	1	yes	characteristic
796	C₂²	C₂×#2424	1	1	yes	characteristic
797	C₂²	C₂×#2424	1	1	yes	characteristic
798	C₂²	#34655	1	1	yes	characteristic
799	C₂²	C₂×#2408	1	1	yes	characteristic
800	C₂²	C₂×#2416	1	1	yes	characteristic
801	C₂²	C₂×#2464	1	1	yes	characteristic
802	C₂²	C₂×#2428	1	1	yes	characteristic
803	C₂²	C₂×#2407	1	1	yes	characteristic
804	C₂²	C₂×#2430	1	1	yes	characteristic
805	C₂²	C₂×#2430	1	1	yes	characteristic
806	C₂²	#34732	1	1	yes	characteristic
807	C₂²	#34743	1	1	yes	characteristic
808	C₂²	#35003	1	1	yes	characteristic
809	C₂²	#35005	1	1	yes	characteristic
810	C₂²	#35051	1	1	yes	characteristic
811	C₂²	#35051	1	1	yes	characteristic
812	C₂²	#35056	1	1	yes	characteristic
813	C₂²	#35081	1	1	yes	characteristic
814	C₂²	#35223	1	1	yes	characteristic
815	C₂²	#35226	1	1	yes	characteristic
816	C₂²	#35261	1	1	yes	characteristic
817	C₂²	#35347	1	1	yes	characteristic
818	C₂²	#35347	1	1	yes	characteristic
819	C₂²	#35348	1	1	yes	characteristic
820	C₂²	#35352	1	1	yes	characteristic
821	C₂²	#35353	1	1	yes	characteristic
822	C₂²	#35518	1	1	yes	characteristic
823	C₂²	D₄×#120	1	1	yes	characteristic
824	C₂²	D₄×#121	1	1	yes	characteristic
825	C₂²	D₄×#121	1	1	yes	characteristic
826	C₂²	D₄×#121	1	1	yes	characteristic
827	C₂²	D₄×#121	1	1	yes	characteristic
828	C₂²	#36096	1	1	yes	characteristic
829	C₂²	#36098	1	1	yes	characteristic
830	C₂²	#36098	1	1	yes	characteristic
831	C₂²	#36098	1	1	yes	characteristic
832	C₂²	#36101	1	1	yes	characteristic
833	C₂²	#36103	1	1	yes	characteristic
834	C₂²	#36103	1	1	yes	characteristic
835	C₂²	#36123	1	1	yes	characteristic
836	C₂²	#36123	1	1	yes	characteristic
837	C₂²	#36123	1	1	yes	characteristic
838	C₂²	#36138	1	1	yes	characteristic
839	C₂²	#36144	1	1	yes	characteristic
840	C₂²	#36146	1	1	yes	characteristic
841	C₂²	#36146	1	1	yes	characteristic
842	C₂²	#36146	1	1	yes	characteristic
843	C₂²	#36146	1	1	yes	characteristic
844	C₂²	#36147	1	1	yes	characteristic
845	C₂²	#36152	1	1	yes	characteristic
846	C₂²	#36153	1	1	yes	characteristic
847	C₂²	#36212	1	1	yes	characteristic
848	C₂²	#36213	1	1	yes	characteristic
849	C₂²	#36214	1	1	yes	characteristic
850	C₂²	#36214	1	1	yes	characteristic
851	C₂²	#36214	1	1	yes	characteristic
852	C₂²	#36318	1	1	yes	characteristic
853	C₂²	#36438	1	1	yes	characteristic
854	C₂²	#36530	1	1	yes	characteristic
855	C₂²	#36624	1	1	yes	characteristic
856	C₂²	#36727	1	1	yes	characteristic
857	C₂²	#36731	1	1	yes	characteristic
858	C₂²	#36738	1	1	yes	characteristic
859	C₂²	#36738	1	1	yes	characteristic
860	C₂²	#36777	1	1	yes	characteristic
861	C₂²	#36794	1	1	yes	characteristic
862	C₂²	#37645	1	1	yes	characteristic
863	C₂²	#37646	1	1	yes	characteristic
864	C₂²	#37649	1	1	yes	characteristic
865	C₂²	#37649	1	1	yes	characteristic
866	C₂²	#37660	1	1	yes	characteristic
867	C₂²	#37660	1	1	yes	characteristic
868	C₂²	#37666	1	1	yes	characteristic
869	C₂²	#37667	1	1	yes	characteristic
870	C₂²	#37672	1	1	yes	characteristic
871	C₂²	#37672	1	1	yes	characteristic
872	C₂²	#37672	1	1	yes	characteristic
873	C₂²	#37672	1	1	yes	characteristic
874	C₂²	#37673	1	1	yes	characteristic
875	C₂²	#37673	1	1	yes	characteristic
876	C₂²	#37673	1	1	yes	characteristic
877	C₂²	#37713	1	1	yes	characteristic
878	C₂²	#37744	1	1	yes	characteristic
879	C₂²	#37745	1	1	yes	characteristic
880	C₂²	#37768	1	1	yes	characteristic
881	C₂²	#37769	1	1	yes	characteristic
882	C₂²	#37788	1	1	yes	characteristic
883	C₂²	#37789	1	1	yes	characteristic
884	C₂²	#37833	1	1	yes	characteristic
885	C₂²	#37834	1	1	yes	characteristic
886	C₂²	#37836	1	1	yes	characteristic
887	C₂²	#37836	1	1	yes	characteristic
888	C₂²	#37860	1	1	yes	characteristic
889	C₂²	#37900	1	1	yes	characteristic
890	C₂²	#38020	1	1	yes	characteristic
891	C₂²	#38036	1	1	yes	characteristic
892	C₂²	#38076	1	1	yes	characteristic
893	C₂²	#38076	1	1	yes	characteristic
894	C₂²	#38076	1	1	yes	characteristic
895	C₂²	#38077	1	1	yes	characteristic
896	C₂²	#38357	1	1	yes	characteristic
897	C₂²	#38357	1	1	yes	characteristic
898	C₂²	#38357	1	1	yes	characteristic
899	C₂²	#38357	1	1	yes	characteristic
900	C₂²	#38366	1	1	yes	characteristic
901	C₂²	#38367	1	1	yes	characteristic
902	C₂²	#38509	1	1	yes	characteristic
903	C₂²	#38540	1	1	yes	characteristic
904	C₂²	#39140	1	1	yes	characteristic
905	C₂²	#39144	1	1	yes	characteristic
906	C₂²	#39344	1	1	yes	characteristic
907	C₂²	#39349	1	1	yes	characteristic
908	C₂²	#39428	1	1	yes	characteristic
909	C₂²	#39429	1	1	yes	characteristic
910	C₂²	#45445	1	1	yes	characteristic
911	C₂²	#45455	1	1	yes	characteristic
912	C₂²	#45462	1	1	yes	characteristic
913	C₂²	#45473	1	1	yes	characteristic
914	C₂²	#45530	1	1	yes	characteristic
915	C₂²	#45560	1	1	yes	characteristic
916	C₂²	#45727	1	1	yes	characteristic
917	C₂²	#45743	1	1	yes	characteristic
918	C₂²	C₂×#2671	1	1	yes	characteristic
919	C₂²	C₂×#2671	1	1	yes	characteristic
920	C₂²	C₂×#2673	1	1	yes	characteristic
921	C₂²	C₂×#2675	1	1	yes	characteristic
922	C₂²	C₂×#2676	1	1	yes	characteristic
923	C₂²	C₂×#2688	1	1	yes	characteristic
924	C₂²	#58990	1	1	yes	characteristic
925	C₂²	#58990	1	1	yes	characteristic
926	C₂²	#58991	1	1	yes	characteristic
927	C₂²	#58991	1	1	yes	characteristic
928	C₂²	#58992	1	1	yes	characteristic
929	C₂²	#58993	1	1	yes	characteristic
930	C₂²	#58994	1	1	yes	characteristic
931	C₂²	#58994	1	1	yes	characteristic
932	C₂²	#58995	1	1	yes	characteristic
933	C₂²	#58997	1	1	yes	characteristic
934	C₂²	#58997	1	1	yes	characteristic
935	C₂²	#59005	1	1	yes	characteristic
936	C₂²	#59009	1	1	yes	characteristic
937	C₂²	#59015	1	1	yes	characteristic
938	C₂²	#59015	1	1	yes	characteristic
939	C₂²	#59024	1	1	yes	characteristic
940	C₂²	#59074	1	1	yes	characteristic
941	C₂²	#59074	1	1	yes	characteristic
942	C₂²	#59089	1	1	yes	characteristic
943	C₂²	#59090	1	1	yes	characteristic
944	C₂²	#59123	1	1	yes	characteristic
945	C₂²	#59123	1	1	yes	characteristic
946	C₂²	#59123	1	1	yes	characteristic
947	C₂²	#59123	1	1	yes	characteristic
948	C₂	C₂×#15263	1	1	yes	characteristic
949	C₂	#612457	1	1	yes	characteristic
950	C₂	#612460	1	1	yes	characteristic
951	C₂	#612575	1	1	yes	characteristic
952	C₂	#619655	1	1	yes	characteristic
953	C₂	#619719	1	1	yes	characteristic
954	C₂	#625780	1	1	yes	characteristic
955	C₂	#647698	1	1	yes	characteristic
956	C₂	#647714	1	1	yes	characteristic
957	C₂	#647908	1	1	yes	characteristic
958	C₂	#648380	1	1	yes	characteristic
959	C₂	#648724	1	1	yes	characteristic
960	C₂	#649034	1	1	yes	characteristic
961	C₂	#649101	1	1	yes	characteristic
962	C₂	#649102	1	1	yes	characteristic
963	C₂	#651329	1	1	yes	characteristic
964	C₂	#651752	1	1	yes	characteristic
965	C₂	#651753	1	1	yes	characteristic
966	C₂	#674264	1	1	yes	characteristic
967	C₂	#851212	1	1	yes	characteristic
968	C₂	#851213	1	1	yes	characteristic
969	C₂	#851284	1	1	yes	characteristic
970	C₂	#851287	1	1	yes	characteristic
971	C₂	#855945	1	1	yes	characteristic
972	C₂	#855946	1	1	yes	characteristic
973	C₂	#865753	1	1	yes	characteristic
974	C₂	#865754	1	1	yes	characteristic
975	C₂	#873725	1	1	yes	characteristic
976	C₂	#873726	1	1	yes	characteristic
977	C₂	#873879	1	1	yes	characteristic
978	C₂	#873880	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁵
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. C₂²×#2847	C₂	semidirect
2. C₂²×#2424	C₂	semidirect
3. C₂×#15263	C₂	semidirect
4. C₂×#14757	C₂	semidirect
5. C₂×#14718	C₂	semidirect
6. C₂×#14716	C₂	semidirect
7. C₂×#14694	C₂	semidirect
8. C₂×#14023	C₂	semidirect
9. C₂×#13975	C₂	semidirect
10. C₂²×C₂²⋊#95	C₂	semidirect
11. #156829	C₂	semidirect
12. #156828	C₂	semidirect
13. #156827	C₂	semidirect
14. #156826	C₂	semidirect
15. #156825	C₂	semidirect
16. #156824	C₂	semidirect
17. #156823	C₂	semidirect
18. #156706	C₂	semidirect
19. #155241	C₂	semidirect
20. #155065	C₂	semidirect
21. #155055	C₂	semidirect
22. #154810	C₂	semidirect
23. #154729	C₂	semidirect
24. #154684	C₂	semidirect
25. #154674	C₂	semidirect
26. #154255	C₂	semidirect
27. #154255	C₂	semidirect
28. #154254	C₂	semidirect
29. #154208	C₂	semidirect
30. #154208	C₂	semidirect
31. #154195	C₂	semidirect
53. C₂²×#392	C₂²	semidirect
76. C₂²×#386	C₂²	semidirect
79. C₂²×#385	C₂²	semidirect
88. C₂×#1444	C₂²	semidirect
89. C₂×#1444	C₂²	semidirect
90. C₂×#1442	C₂²	semidirect
91. C₂×#1441	C₂²	semidirect
92. C₂×#1441	C₂²	semidirect
93. C₂×#1441	C₂²	semidirect
96. C₂×#1440	C₂²	semidirect
101. C₂×#1439	C₂²	semidirect
102. C₂×#1439	C₂²	semidirect
103. C₂×#1439	C₂²	semidirect
104. C₂×#1439	C₂²	semidirect
105. C₂×#1439	C₂²	semidirect
106. C₂×#1439	C₂²	semidirect
107. C₂×#1439	C₂²	semidirect
108. C₂×#1439	C₂²	semidirect
109. C₂×#1439	C₂²	semidirect
110. C₂×#1439	C₂²	semidirect
121. C₂×#1438	C₂²	semidirect
122. C₂×#1438	C₂²	semidirect
123. C₂×#1438	C₂²	semidirect
124. C₂×#1438	C₂²	semidirect
125. C₂×#1438	C₂²	semidirect
126. C₂×#1438	C₂²	semidirect
127. C₂×#1438	C₂²	semidirect
128. C₂×#1438	C₂²	semidirect
129. C₂×#1437	C₂²	semidirect
130. C₂×#1436	C₂²	semidirect
131. C₂×#1436	C₂²	semidirect
132. C₂×#1436	C₂²	semidirect
151. C₂×C₂²⋊#95	C₂²	semidirect
152. C₂×C₂²⋊#95	C₂²	semidirect
153. #7557	C₂²	semidirect
154. #7557	C₂²	semidirect
155. #7557	C₂²	semidirect
156. #7557	C₂²	semidirect
157. #7557	C₂²	semidirect
158. #7557	C₂²	semidirect
159. #7557	C₂²	semidirect
160. #7557	C₂²	semidirect
161. #7557	C₂²	semidirect
162. #7557	C₂²	semidirect
163. #7557	C₂²	semidirect
164. #7557	C₂²	semidirect
165. #7556	C₂²	semidirect
166. #7556	C₂²	semidirect
167. #7556	C₂²	semidirect
168. #7556	C₂²	semidirect
169. #7556	C₂²	semidirect
170. #7556	C₂²	semidirect
175. #7555	C₂²	semidirect
176. #7555	C₂²	semidirect
177. #7555	C₂²	semidirect
178. #7555	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
211. C₂²×#120	D₄	semidirect
212. C₂²×#120	D₄	semidirect
223. C₂³×C₂²⋊C₄	D₄	semidirect
277. C₂×#386	D₄	semidirect
278. C₂×#386	D₄	semidirect
279. C₂×#380	D₄	semidirect
348. C₂²⋊#95	D₄	semidirect
471. C₂²×D₄	#121	semidirect
472. C₂³×C₄	#121	semidirect
521. C₂×C₂²⋊C₄	#121	semidirect
791. C₂×C₄	#2424	semidirect
792. C₂²	#15263	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#2847	2
C₂²×#2424	2
C₂×#15263	2
C₂×#14757	2
C₂×#14718	2
C₂×#14716	2
C₂×#14694	2
C₂×#14023	2
C₂×#13975	2
C₂²×C₂²⋊#95	2
#156829	2
#156828	2
#156827	2
#156826	2
#156825	2
#156824	2
#156823	2
#156706	2
#155241	2
#155065	2
#155055	2
#154810	2
#154729	2
#154684	2
#154674	2
#154255	2
#154254	2
#154208	2
#154195	2