Subgroups — #72329840

Order 1024.

At least 10653 conjugacy classes of subgroups; only the 1373 normal subgroups are shown.

The subgroup lattice has 920 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×#2846	C₂	1	1	yes	maximal, characteristic
2	C₂×#16255	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#15297	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15282	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15268	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14679	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14679	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14358	C₂	1	1	yes	maximal, characteristic, complemented
9	#156815	C₂	1	1	yes	maximal, characteristic, complemented
10	#156815	C₂	1	1	yes	maximal, characteristic, complemented
11	#156814	C₂	1	1	yes	maximal, characteristic, complemented
12	#156689	C₂	1	1	yes	maximal, characteristic, complemented
13	#156688	C₂	1	1	yes	maximal, characteristic, complemented
14	#156688	C₂	1	1	yes	maximal, characteristic, complemented
15	#156688	C₂	1	1	yes	maximal, characteristic, complemented
16	#156688	C₂	1	1	yes	maximal, characteristic, complemented
17	#156688	C₂	1	1	yes	maximal, characteristic, complemented
18	#156688	C₂	1	1	yes	maximal, characteristic, complemented
19	#156688	C₂	1	1	yes	maximal, characteristic, complemented
20	#156688	C₂	1	1	yes	maximal, characteristic, complemented
21	#155799	C₂	1	1	yes	maximal, characteristic, complemented
22	#155632	C₂	1	1	yes	maximal, characteristic, complemented
23	#154677	C₂	1	1	yes	maximal, characteristic, complemented
24	#154677	C₂	1	1	yes	maximal, characteristic, complemented
25	#154677	C₂	1	1	yes	maximal, characteristic, complemented
26	#154676	C₂	1	1	yes	maximal, characteristic, complemented
27	#154676	C₂	1	1	yes	maximal, characteristic, complemented
28	#154676	C₂	1	1	yes	maximal, characteristic, complemented
29	#154671	C₂	1	1	yes	maximal, characteristic, complemented
30	#154671	C₂	1	1	yes	maximal, characteristic, complemented
31	#154671	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁸	C₂²	1	1	yes	characteristic
33	C₂³×#120	C₂²	1	1	yes	characteristic
34	C₂³×#120	C₂²	1	1	yes	characteristic
35	C₂³×#120	C₂²	1	1	yes	characteristic
36	C₂³×#120	C₂²	1	1	yes	characteristic
37	C₂³×#120	C₂²	1	1	yes	characteristic
38	C₂³×#120	C₂²	1	1	yes	characteristic
39	C₂³×#120	C₂²	1	1	yes	characteristic
40	C₂²×#397	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#396	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#394	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#394	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#394	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#394	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#390	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#390	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#388	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#388	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#388	C₂²	1	1	yes	characteristic, complemented
51	C₂²×#379	C₂²	1	1	yes	characteristic
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	C₂²×#379	C₂²	1	1	yes	characteristic
58	C₂²×#379	C₂²	1	1	yes	characteristic
59	C₂²×#379	C₂²	1	1	yes	characteristic
60	C₂²×#379	C₂²	1	1	yes	characteristic
61	C₂²×#379	C₂²	1	1	yes	characteristic
62	C₂²×#379	C₂²	1	1	yes	characteristic
63	C₂²×#379	C₂²	1	1	yes	characteristic
64	C₂²×#379	C₂²	1	1	yes	characteristic
65	C₂²×#379	C₂²	1	1	yes	characteristic
66	C₂²×#379	C₂²	1	1	yes	characteristic
67	C₂²×#379	C₂²	1	1	yes	characteristic
68	C₂²×#379	C₂²	1	1	yes	characteristic
69	C₂²×#379	C₂²	1	1	yes	characteristic
70	C₂²×#379	C₂²	1	1	yes	characteristic
71	C₂²×#379	C₂²	1	1	yes	characteristic
72	C₂²×#379	C₂²	1	1	yes	characteristic
73	C₂²×#379	C₂²	1	1	yes	characteristic
74	C₂²×#379	C₂²	1	1	yes	characteristic
75	C₂²×#379	C₂²	1	1	yes	characteristic
76	C₂²×#379	C₂²	1	1	yes	characteristic
77	C₂²×#379	C₂²	1	1	yes	characteristic
78	C₂²×#379	C₂²	1	1	yes	characteristic
79	C₂²×#379	C₂²	1	1	yes	characteristic
80	C₂²×#379	C₂²	1	1	yes	characteristic
81	C₂²×#379	C₂²	1	1	yes	characteristic
82	C₂²×#379	C₂²	1	1	yes	characteristic
83	C₂²×#379	C₂²	1	1	yes	characteristic
84	C₂²×#379	C₂²	1	1	yes	characteristic
85	C₂²×#379	C₂²	1	1	yes	characteristic
86	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
87	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
88	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
89	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
90	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
91	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
92	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
93	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
94	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
95	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
96	C₂×#1440	C₂²	1	1	yes	characteristic, complemented
97	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
98	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
99	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
100	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
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×#1439	C₂²	1	1	yes	characteristic, complemented
112	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
113	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
114	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
115	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
116	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
117	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
118	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
119	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
120	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
121	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
122	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
123	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
124	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
125	C₂×#1439	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×#1438	C₂²	1	1	yes	characteristic, complemented
130	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
131	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
132	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
133	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
134	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
135	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
136	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
137	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
138	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
139	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
140	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
141	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
142	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
143	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
144	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
145	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
146	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
147	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
148	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
149	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
150	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
151	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
152	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
153	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
154	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
155	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
156	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
157	#7555	C₂²	1	1	yes	characteristic, complemented
158	#7555	C₂²	1	1	yes	characteristic, complemented
159	#7555	C₂²	1	1	yes	characteristic, complemented
160	#7555	C₂²	1	1	yes	characteristic, complemented
161	#7555	C₂²	1	1	yes	characteristic, complemented
162	#7555	C₂²	1	1	yes	characteristic, complemented
163	#7555	C₂²	1	1	yes	characteristic, complemented
164	#7555	C₂²	1	1	yes	characteristic, complemented
165	#7555	C₂²	1	1	yes	characteristic, complemented
166	#7555	C₂²	1	1	yes	characteristic, complemented
167	#7555	C₂²	1	1	yes	characteristic, complemented
168	#7555	C₂²	1	1	yes	characteristic, complemented
169	#7555	C₂²	1	1	yes	characteristic, complemented
170	#7555	C₂²	1	1	yes	characteristic, complemented
171	#7555	C₂²	1	1	yes	characteristic, complemented
172	#7555	C₂²	1	1	yes	characteristic, complemented
173	#7555	C₂²	1	1	yes	characteristic, complemented
174	#7555	C₂²	1	1	yes	characteristic, complemented
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	C₂⁷	C₂³	1	1	yes	characteristic
189	C₂⁷	C₂³	1	1	yes	characteristic
190	C₂⁷	C₂³	1	1	yes	characteristic
191	C₂⁷	C₂³	1	1	yes	characteristic
192	C₂⁷	C₂³	1	1	yes	characteristic
193	C₂⁷	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	C₂⁴×D₄	C₂³	1	1	yes	characteristic
201	C₂²×#120	D₄	1	8	yes	—
202	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
203	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
204	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
205	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
206	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
207	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
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	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
286	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
287	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
288	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
289	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
290	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
291	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
292	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
293	C₂³×C₄²	C₂³	1	1	yes	characteristic, complemented
294	C₂³×C₄²	C₂³	1	1	yes	characteristic, complemented
295	C₂×#379	D₄	1	8	yes	—
296	C₂×#379	D₄	1	8	yes	—
297	C₂×#379	D₄	1	8	yes	complemented
298	C₂×#379	D₄	1	8	yes	complemented
299	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
300	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
301	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
302	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
303	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
304	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
305	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
306	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
307	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
308	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
309	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
310	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
311	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
312	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
313	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
314	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
315	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
316	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
317	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
318	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
319	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
320	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
321	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
322	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
323	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
324	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
325	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
326	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
327	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
328	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
329	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
330	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
331	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
332	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
333	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
334	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
335	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
336	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
337	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
338	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
339	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
340	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
341	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
342	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
343	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
344	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
345	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
346	C₂²×#95	C₂³	1	1	yes	characteristic, complemented
347	C₂⁶	C₂×D₄	1	4	yes	—
348	C₂⁶	C₂×D₄	1	4	yes	—
349	C₂⁶	C₂×D₄	1	4	yes	—
350	C₂⁶	C₂×D₄	1	4	yes	—
351	C₂⁶	C₂×D₄	1	4	yes	—
352	C₂⁶	#41	1	4	yes	—
353	C₂⁶	#41	1	4	yes	—
354	C₂⁶	#41	1	4	yes	—
355	C₂⁶	#41	1	4	yes	—
356	C₂⁶	C₂⁴	1	1	yes	characteristic
357	C₂⁶	C₂⁴	1	1	yes	characteristic
358	C₂⁶	C₂⁴	1	1	yes	characteristic
359	C₂⁶	C₂⁴	1	1	yes	characteristic
360	C₂⁶	C₂⁴	1	1	yes	characteristic
361	C₂⁶	C₂⁴	1	1	yes	characteristic
362	C₂⁶	C₂⁴	1	1	yes	characteristic
363	C₂⁶	C₂⁴	1	1	yes	characteristic
364	C₂³×D₄	C₂×D₄	1	4	yes	—
365	C₂³×D₄	C₂×D₄	1	4	yes	—
366	C₂³×D₄	C₂×D₄	1	4	yes	—
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	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	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
391	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
392	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
393	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
394	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
395	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
396	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
397	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
398	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
399	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
400	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
401	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
402	C₂²×C₂²⋊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	C₂⁵	#121	1	16	yes	—
418	C₂⁵	C₂²×D₄	1	2	yes	—
419	C₂⁵	C₂²×D₄	1	2	yes	—
420	C₂⁵	C₂²×D₄	1	2	yes	—
421	C₂⁵	C₂²×D₄	1	2	yes	—
422	C₂⁵	C₂²×D₄	1	2	yes	—
423	C₂⁵	C₂²×D₄	1	2	yes	—
424	C₂⁵	C₂²×D₄	1	2	yes	—
425	C₂⁵	C₂²×D₄	1	2	yes	—
426	C₂⁵	C₂²×D₄	1	2	yes	—
427	C₂⁵	C₂²×D₄	1	2	yes	—
428	C₂⁵	C₂²×D₄	1	2	yes	—
429	C₂⁵	C₂²×D₄	1	2	yes	—
430	C₂⁵	C₂²×D₄	1	2	yes	—
431	C₂⁵	C₂²×D₄	1	2	yes	—
432	C₂⁵	C₂²×D₄	1	2	yes	—
433	C₂⁵	C₂²×D₄	1	2	yes	—
434	C₂⁵	C₂×#41	1	2	yes	—
435	C₂⁵	C₂×#41	1	2	yes	—
436	C₂⁵	C₂×#41	1	2	yes	—
437	C₂⁵	C₂×#41	1	2	yes	—
438	C₂⁵	C₂×#41	1	2	yes	—
439	C₂⁵	C₂×#41	1	2	yes	—
440	C₂⁵	C₂×#41	1	2	yes	—
441	C₂⁵	C₂×#41	1	2	yes	—
442	C₂⁵	C₂×#41	1	2	yes	—
443	C₂⁵	C₂×#41	1	2	yes	—
444	C₂⁵	C₂×#41	1	2	yes	—
445	C₂⁵	C₂×#41	1	2	yes	—
446	C₂⁵	H(5,𝔽₂)	1	2	yes	—
447	C₂⁵	H(5,𝔽₂)	1	2	yes	—
448	C₂⁵	H(5,𝔽₂)	1	2	yes	—
449	C₂⁵	H(5,𝔽₂)	1	2	yes	—
450	C₂⁵	H(5,𝔽₂)	1	2	yes	—
451	C₂⁵	H(5,𝔽₂)	1	2	yes	—
452	C₂⁵	H(5,𝔽₂)	1	2	yes	—
453	C₂⁵	H(5,𝔽₂)	1	2	yes	—
454	C₂⁵	H(5,𝔽₂)	1	2	yes	—
455	C₂⁵	H(5,𝔽₂)	1	2	yes	—
456	C₂⁵	H(5,𝔽₂)	1	2	yes	—
457	C₂⁵	H(5,𝔽₂)	1	2	yes	—
458	C₂⁵	H(5,𝔽₂)	1	2	yes	—
459	C₂⁵	H(5,𝔽₂)	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	C₂⁵	1	1	yes	characteristic
469	C₂³×C₄	C₂²×D₄	1	2	yes	—
470	C₂³×C₄	C₂²×D₄	1	2	yes	—
471	C₂³×C₄	C₂²×D₄	1	2	yes	—
472	C₂³×C₄	C₂²×D₄	1	2	yes	—
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	C₂×C₂²⋊C₄	#120	1	16	yes	—
489	C₂⁴	C₂×#120	1	4	yes	—
490	C₂⁴	C₂×#121	1	4	yes	—
491	C₂⁴	C₂×#121	1	4	yes	—
492	C₂⁴	C₂×#121	1	4	yes	—
493	C₂⁴	#525	1	4	yes	—
494	C₂⁴	#525	1	4	yes	—
495	C₂⁴	#534	1	4	yes	—
496	C₂⁴	#534	1	4	yes	—
497	C₂⁴	#534	1	4	yes	—
498	C₂⁴	#535	1	4	yes	—
499	C₂⁴	#535	1	4	yes	—
500	C₂⁴	#535	1	4	yes	—
501	C₂⁴	#535	1	4	yes	—
502	C₂⁴	#535	1	4	yes	—
503	C₂⁴	#538	1	4	yes	—
504	C₂⁴	#538	1	4	yes	—
505	C₂⁴	#538	1	4	yes	—
506	C₂⁴	#538	1	4	yes	—
507	C₂⁴	#538	1	4	yes	—
508	C₂⁴	#538	1	4	yes	—
509	C₂⁴	#538	1	4	yes	—
510	C₂⁴	D₄²	1	4	yes	—
511	C₂⁴	D₄²	1	4	yes	—
512	C₂⁴	D₄²	1	4	yes	—
513	C₂⁴	D₄²	1	4	yes	—
514	C₂⁴	D₄²	1	4	yes	—
515	C₂⁴	D₄²	1	4	yes	—
516	C₂⁴	#546	1	4	yes	—
517	C₂⁴	#546	1	4	yes	—
518	C₂⁴	#546	1	4	yes	—
519	C₂⁴	#546	1	4	yes	—
520	C₂⁴	#546	1	4	yes	—
521	C₂⁴	#546	1	4	yes	—
522	C₂⁴	#546	1	4	yes	—
523	C₂⁴	#546	1	4	yes	—
524	C₂⁴	#546	1	4	yes	—
525	C₂⁴	#546	1	4	yes	—
526	C₂⁴	#546	1	4	yes	—
527	C₂⁴	#546	1	4	yes	—
528	C₂⁴	#546	1	4	yes	—
529	C₂⁴	#546	1	4	yes	—
530	C₂⁴	#551	1	4	yes	—
531	C₂⁴	#551	1	4	yes	—
532	C₂⁴	#551	1	4	yes	—
533	C₂⁴	#551	1	4	yes	—
534	C₂⁴	#560	1	4	yes	—
535	C₂⁴	#560	1	4	yes	—
536	C₂⁴	#560	1	4	yes	—
537	C₂⁴	H(3,𝔽₄)	1	4	yes	—
538	C₂⁴	C₂³×D₄	1	1	yes	characteristic
539	C₂⁴	C₂³×D₄	1	1	yes	characteristic
540	C₂⁴	C₂³×D₄	1	1	yes	characteristic
541	C₂⁴	C₂³×D₄	1	1	yes	characteristic
542	C₂⁴	C₂³×D₄	1	1	yes	characteristic
543	C₂⁴	C₂²×#41	1	1	yes	characteristic
544	C₂⁴	C₂²×#41	1	1	yes	characteristic
545	C₂⁴	C₂²×#41	1	1	yes	characteristic
546	C₂⁴	C₂²×#41	1	1	yes	characteristic
547	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
548	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
549	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
550	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
551	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
552	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
553	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
554	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
555	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
556	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
557	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
558	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
559	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
560	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
561	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
562	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
563	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
564	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
565	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
566	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
567	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
568	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
569	C₂²×C₄	C₂×#120	1	4	yes	—
570	C₂²×C₄	C₂×#120	1	4	yes	—
571	C₂³	#2410	1	8	yes	—
572	C₂³	#2424	1	8	yes	—
573	C₂³	#2534	1	8	yes	—
574	C₂³	#2670	1	8	yes	—
575	C₂³	#2678	1	8	yes	—
576	C₂³	#2685	1	8	yes	—
577	C₂³	#2685	1	8	yes	—
578	C₂³	C₂²×#120	1	1	yes	characteristic
579	C₂³	C₂²×#121	1	1	yes	characteristic
580	C₂³	C₂×#525	1	1	yes	characteristic
581	C₂³	C₂×#525	1	1	yes	characteristic
582	C₂³	C₂×#534	1	1	yes	characteristic
583	C₂³	C₂×#534	1	1	yes	characteristic
584	C₂³	C₂×#534	1	1	yes	characteristic
585	C₂³	C₂×#535	1	1	yes	characteristic
586	C₂³	C₂×#535	1	1	yes	characteristic
587	C₂³	C₂×#535	1	1	yes	characteristic
588	C₂³	C₂×#535	1	1	yes	characteristic
589	C₂³	C₂×#535	1	1	yes	characteristic
590	C₂³	C₂×#538	1	1	yes	characteristic
591	C₂³	C₂×#538	1	1	yes	characteristic
592	C₂³	C₂×#538	1	1	yes	characteristic
593	C₂³	C₂×#538	1	1	yes	characteristic
594	C₂³	C₂×#538	1	1	yes	characteristic
595	C₂³	C₂×#538	1	1	yes	characteristic
596	C₂³	C₂×#538	1	1	yes	characteristic
597	C₂³	C₂×D₄²	1	1	yes	characteristic
598	C₂³	C₂×D₄²	1	1	yes	characteristic
599	C₂³	C₂×D₄²	1	1	yes	characteristic
600	C₂³	C₂×D₄²	1	1	yes	characteristic
601	C₂³	C₂×D₄²	1	1	yes	characteristic
602	C₂³	C₂×D₄²	1	1	yes	characteristic
603	C₂³	C₂×#546	1	1	yes	characteristic
604	C₂³	C₂×#546	1	1	yes	characteristic
605	C₂³	C₂×#546	1	1	yes	characteristic
606	C₂³	C₂×#546	1	1	yes	characteristic
607	C₂³	C₂×#546	1	1	yes	characteristic
608	C₂³	C₂×#546	1	1	yes	characteristic
609	C₂³	C₂×#546	1	1	yes	characteristic
610	C₂³	C₂×#546	1	1	yes	characteristic
611	C₂³	C₂×#546	1	1	yes	characteristic
612	C₂³	C₂×#546	1	1	yes	characteristic
613	C₂³	C₂×#546	1	1	yes	characteristic
614	C₂³	C₂×#546	1	1	yes	characteristic
615	C₂³	C₂×#546	1	1	yes	characteristic
616	C₂³	C₂×#546	1	1	yes	characteristic
617	C₂³	C₂×#551	1	1	yes	characteristic
618	C₂³	C₂×#551	1	1	yes	characteristic
619	C₂³	C₂×#551	1	1	yes	characteristic
620	C₂³	C₂×#551	1	1	yes	characteristic
621	C₂³	#3484	1	1	yes	characteristic
622	C₂³	#3484	1	1	yes	characteristic
623	C₂³	#3484	1	1	yes	characteristic
624	C₂³	#3484	1	1	yes	characteristic
625	C₂³	#3484	1	1	yes	characteristic
626	C₂³	#3484	1	1	yes	characteristic
627	C₂³	#3484	1	1	yes	characteristic
628	C₂³	#3484	1	1	yes	characteristic
629	C₂³	#3484	1	1	yes	characteristic
630	C₂³	#3484	1	1	yes	characteristic
631	C₂³	#3484	1	1	yes	characteristic
632	C₂³	#3484	1	1	yes	characteristic
633	C₂³	#3484	1	1	yes	characteristic
634	C₂³	#3484	1	1	yes	characteristic
635	C₂³	#3484	1	1	yes	characteristic
636	C₂³	#3484	1	1	yes	characteristic
637	C₂³	#3484	1	1	yes	characteristic
638	C₂³	#3484	1	1	yes	characteristic
639	C₂³	#3484	1	1	yes	characteristic
640	C₂³	#3484	1	1	yes	characteristic
641	C₂³	#3484	1	1	yes	characteristic
642	C₂³	#3484	1	1	yes	characteristic
643	C₂³	#3484	1	1	yes	characteristic
644	C₂³	#3484	1	1	yes	characteristic
645	C₂³	#3484	1	1	yes	characteristic
646	C₂³	#3484	1	1	yes	characteristic
647	C₂³	#3484	1	1	yes	characteristic
648	C₂³	#3484	1	1	yes	characteristic
649	C₂³	#3484	1	1	yes	characteristic
650	C₂³	#3484	1	1	yes	characteristic
651	C₂³	#3484	1	1	yes	characteristic
652	C₂³	#3484	1	1	yes	characteristic
653	C₂³	#3484	1	1	yes	characteristic
654	C₂³	#3484	1	1	yes	characteristic
655	C₂³	#3490	1	1	yes	characteristic
656	C₂³	#3490	1	1	yes	characteristic
657	C₂³	#3490	1	1	yes	characteristic
658	C₂³	#3490	1	1	yes	characteristic
659	C₂³	#3490	1	1	yes	characteristic
660	C₂³	#3490	1	1	yes	characteristic
661	C₂³	#3490	1	1	yes	characteristic
662	C₂³	#3490	1	1	yes	characteristic
663	C₂³	#3490	1	1	yes	characteristic
664	C₂³	#3490	1	1	yes	characteristic
665	C₂³	#3490	1	1	yes	characteristic
666	C₂³	#3490	1	1	yes	characteristic
667	C₂³	#3490	1	1	yes	characteristic
668	C₂³	#3490	1	1	yes	characteristic
669	C₂³	#3490	1	1	yes	characteristic
670	C₂³	#3490	1	1	yes	characteristic
671	C₂³	#3490	1	1	yes	characteristic
672	C₂³	#3490	1	1	yes	characteristic
673	C₂³	#3490	1	1	yes	characteristic
674	C₂³	#3490	1	1	yes	characteristic
675	C₂³	#3490	1	1	yes	characteristic
676	C₂³	#3490	1	1	yes	characteristic
677	C₂³	#3490	1	1	yes	characteristic
678	C₂³	#3490	1	1	yes	characteristic
679	C₂³	#3490	1	1	yes	characteristic
680	C₂³	#3490	1	1	yes	characteristic
681	C₂³	C₂×#560	1	1	yes	characteristic
682	C₂³	C₂×#560	1	1	yes	characteristic
683	C₂³	C₂×#560	1	1	yes	characteristic
684	C₂³	C₂×H(3,𝔽₄)	1	1	yes	characteristic
685	C₂³	#3532	1	1	yes	characteristic
686	C₂³	#3532	1	1	yes	characteristic
687	C₂³	#3532	1	1	yes	characteristic
688	C₂³	#3532	1	1	yes	characteristic
689	C₂³	#3532	1	1	yes	characteristic
690	C₂³	#3532	1	1	yes	characteristic
691	C₂³	#3532	1	1	yes	characteristic
692	C₂³	#3532	1	1	yes	characteristic
693	C₂³	#3532	1	1	yes	characteristic
694	C₂³	#3532	1	1	yes	characteristic
695	C₂³	#3532	1	1	yes	characteristic
696	C₂³	#3532	1	1	yes	characteristic
697	C₂³	#3532	1	1	yes	characteristic
698	C₂³	#3532	1	1	yes	characteristic
699	C₂³	#3532	1	1	yes	characteristic
700	C₂³	#3532	1	1	yes	characteristic
701	C₂³	#3532	1	1	yes	characteristic
702	C₂³	#3532	1	1	yes	characteristic
703	C₂³	#3532	1	1	yes	characteristic
704	C₂³	#3532	1	1	yes	characteristic
705	C₂³	#3532	1	1	yes	characteristic
706	C₂³	#3532	1	1	yes	characteristic
707	C₂³	#3532	1	1	yes	characteristic
708	C₂³	#3532	1	1	yes	characteristic
709	C₂³	#3532	1	1	yes	characteristic
710	C₂³	#3532	1	1	yes	characteristic
711	C₂³	#3532	1	1	yes	characteristic
712	C₂³	#3532	1	1	yes	characteristic
713	C₂³	#3532	1	1	yes	characteristic
714	C₂³	#3532	1	1	yes	characteristic
715	C₂³	#3532	1	1	yes	characteristic
716	C₂³	#3532	1	1	yes	characteristic
717	C₂³	#3532	1	1	yes	characteristic
718	C₂³	#3532	1	1	yes	characteristic
719	C₂³	#3532	1	1	yes	characteristic
720	C₂³	#3532	1	1	yes	characteristic
721	C₂³	#3532	1	1	yes	characteristic
722	C₂³	#3532	1	1	yes	characteristic
723	C₂³	#3532	1	1	yes	characteristic
724	C₂³	#3532	1	1	yes	characteristic
725	C₂³	#3532	1	1	yes	characteristic
726	C₂³	#3532	1	1	yes	characteristic
727	C₂³	#3532	1	1	yes	characteristic
728	C₂³	#3532	1	1	yes	characteristic
729	C₂³	#3532	1	1	yes	characteristic
730	C₂³	#3532	1	1	yes	characteristic
731	C₂³	#3532	1	1	yes	characteristic
732	C₂³	#3532	1	1	yes	characteristic
733	C₂²	C₂×#2410	1	1	yes	characteristic
734	C₂²	C₂×#2424	1	1	yes	characteristic
735	C₂²	C₂×#2534	1	1	yes	characteristic
736	C₂²	#34988	1	1	yes	characteristic
737	C₂²	#34988	1	1	yes	characteristic
738	C₂²	#34988	1	1	yes	characteristic
739	C₂²	#35050	1	1	yes	characteristic
740	C₂²	#35222	1	1	yes	characteristic
741	C₂²	#35222	1	1	yes	characteristic
742	C₂²	#35348	1	1	yes	characteristic
743	C₂²	#35348	1	1	yes	characteristic
744	C₂²	#35348	1	1	yes	characteristic
745	C₂²	#35348	1	1	yes	characteristic
746	C₂²	D₄×#120	1	1	yes	characteristic
747	C₂²	#36098	1	1	yes	characteristic
748	C₂²	#36098	1	1	yes	characteristic
749	C₂²	#36098	1	1	yes	characteristic
750	C₂²	#36098	1	1	yes	characteristic
751	C₂²	#36098	1	1	yes	characteristic
752	C₂²	#36152	1	1	yes	characteristic
753	C₂²	#36152	1	1	yes	characteristic
754	C₂²	#36152	1	1	yes	characteristic
755	C₂²	#36158	1	1	yes	characteristic
756	C₂²	#36158	1	1	yes	characteristic
757	C₂²	#36158	1	1	yes	characteristic
758	C₂²	#36702	1	1	yes	characteristic
759	C₂²	#36702	1	1	yes	characteristic
760	C₂²	#36703	1	1	yes	characteristic
761	C₂²	#36703	1	1	yes	characteristic
762	C₂²	#36703	1	1	yes	characteristic
763	C₂²	#36703	1	1	yes	characteristic
764	C₂²	#36703	1	1	yes	characteristic
765	C₂²	#36714	1	1	yes	characteristic
766	C₂²	#36714	1	1	yes	characteristic
767	C₂²	#36714	1	1	yes	characteristic
768	C₂²	#36725	1	1	yes	characteristic
769	C₂²	#36725	1	1	yes	characteristic
770	C₂²	#36725	1	1	yes	characteristic
771	C₂²	#36725	1	1	yes	characteristic
772	C₂²	#36725	1	1	yes	characteristic
773	C₂²	#36725	1	1	yes	characteristic
774	C₂²	#36725	1	1	yes	characteristic
775	C₂²	#36725	1	1	yes	characteristic
776	C₂²	#37644	1	1	yes	characteristic
777	C₂²	#37644	1	1	yes	characteristic
778	C₂²	#37644	1	1	yes	characteristic
779	C₂²	#37644	1	1	yes	characteristic
780	C₂²	#37644	1	1	yes	characteristic
781	C₂²	#37644	1	1	yes	characteristic
782	C₂²	#37644	1	1	yes	characteristic
783	C₂²	#37645	1	1	yes	characteristic
784	C₂²	#37645	1	1	yes	characteristic
785	C₂²	#37645	1	1	yes	characteristic
786	C₂²	#37645	1	1	yes	characteristic
787	C₂²	#37645	1	1	yes	characteristic
788	C₂²	#37645	1	1	yes	characteristic
789	C₂²	#37645	1	1	yes	characteristic
790	C₂²	#37645	1	1	yes	characteristic
791	C₂²	#37645	1	1	yes	characteristic
792	C₂²	#37660	1	1	yes	characteristic
793	C₂²	#37660	1	1	yes	characteristic
794	C₂²	#37660	1	1	yes	characteristic
795	C₂²	#37660	1	1	yes	characteristic
796	C₂²	#37660	1	1	yes	characteristic
797	C₂²	#37660	1	1	yes	characteristic
798	C₂²	#37660	1	1	yes	characteristic
799	C₂²	#37660	1	1	yes	characteristic
800	C₂²	#37660	1	1	yes	characteristic
801	C₂²	#37660	1	1	yes	characteristic
802	C₂²	#37660	1	1	yes	characteristic
803	C₂²	#37660	1	1	yes	characteristic
804	C₂²	#37660	1	1	yes	characteristic
805	C₂²	#37660	1	1	yes	characteristic
806	C₂²	#37660	1	1	yes	characteristic
807	C₂²	#37660	1	1	yes	characteristic
808	C₂²	#37660	1	1	yes	characteristic
809	C₂²	#37660	1	1	yes	characteristic
810	C₂²	#37832	1	1	yes	characteristic
811	C₂²	#37832	1	1	yes	characteristic
812	C₂²	#37832	1	1	yes	characteristic
813	C₂²	#37832	1	1	yes	characteristic
814	C₂²	#37832	1	1	yes	characteristic
815	C₂²	#37833	1	1	yes	characteristic
816	C₂²	#37833	1	1	yes	characteristic
817	C₂²	#37833	1	1	yes	characteristic
818	C₂²	#37833	1	1	yes	characteristic
819	C₂²	#37833	1	1	yes	characteristic
820	C₂²	#37833	1	1	yes	characteristic
821	C₂²	#37833	1	1	yes	characteristic
822	C₂²	#37833	1	1	yes	characteristic
823	C₂²	#37833	1	1	yes	characteristic
824	C₂²	#37833	1	1	yes	characteristic
825	C₂²	#37833	1	1	yes	characteristic
826	C₂²	#37848	1	1	yes	characteristic
827	C₂²	#37848	1	1	yes	characteristic
828	C₂²	#37848	1	1	yes	characteristic
829	C₂²	#37848	1	1	yes	characteristic
830	C₂²	#37848	1	1	yes	characteristic
831	C₂²	#37848	1	1	yes	characteristic
832	C₂²	#37848	1	1	yes	characteristic
833	C₂²	#37848	1	1	yes	characteristic
834	C₂²	#37848	1	1	yes	characteristic
835	C₂²	#37848	1	1	yes	characteristic
836	C₂²	#45438	1	1	yes	characteristic
837	C₂²	#45438	1	1	yes	characteristic
838	C₂²	#45438	1	1	yes	characteristic
839	C₂²	#45438	1	1	yes	characteristic
840	C₂²	#45438	1	1	yes	characteristic
841	C₂²	#45438	1	1	yes	characteristic
842	C₂²	#45438	1	1	yes	characteristic
843	C₂²	#45438	1	1	yes	characteristic
844	C₂²	#45438	1	1	yes	characteristic
845	C₂²	#45438	1	1	yes	characteristic
846	C₂²	#45438	1	1	yes	characteristic
847	C₂²	#45439	1	1	yes	characteristic
848	C₂²	#45439	1	1	yes	characteristic
849	C₂²	#45439	1	1	yes	characteristic
850	C₂²	#45457	1	1	yes	characteristic
851	C₂²	#45457	1	1	yes	characteristic
852	C₂²	#45457	1	1	yes	characteristic
853	C₂²	#45457	1	1	yes	characteristic
854	C₂²	#45457	1	1	yes	characteristic
855	C₂²	#45457	1	1	yes	characteristic
856	C₂²	#45457	1	1	yes	characteristic
857	C₂²	#45458	1	1	yes	characteristic
858	C₂²	#45458	1	1	yes	characteristic
859	C₂²	#45458	1	1	yes	characteristic
860	C₂²	C₂×#2670	1	1	yes	characteristic
861	C₂²	C₂×#2678	1	1	yes	characteristic
862	C₂²	C₂×#2685	1	1	yes	characteristic
863	C₂²	C₂×#2685	1	1	yes	characteristic
864	C₂²	#53158	1	1	yes	characteristic
865	C₂²	#53158	1	1	yes	characteristic
866	C₂²	#53158	1	1	yes	characteristic
867	C₂²	#53158	1	1	yes	characteristic
868	C₂²	#53158	1	1	yes	characteristic
869	C₂²	#53158	1	1	yes	characteristic
870	C₂²	#53158	1	1	yes	characteristic
871	C₂²	#53158	1	1	yes	characteristic
872	C₂²	#58990	1	1	yes	characteristic
873	C₂²	#58990	1	1	yes	characteristic
874	C₂²	#58991	1	1	yes	characteristic
875	C₂²	#58991	1	1	yes	characteristic
876	C₂²	#58991	1	1	yes	characteristic
877	C₂²	#58991	1	1	yes	characteristic
878	C₂²	#58991	1	1	yes	characteristic
879	C₂²	#58991	1	1	yes	characteristic
880	C₂²	#59006	1	1	yes	characteristic
881	C₂²	#59006	1	1	yes	characteristic
882	C₂²	#59006	1	1	yes	characteristic
883	C₂²	#59006	1	1	yes	characteristic
884	C₂²	#59006	1	1	yes	characteristic
885	C₂²	#59006	1	1	yes	characteristic
886	C₂²	#59006	1	1	yes	characteristic
887	C₂²	#59006	1	1	yes	characteristic
888	C₂	#616970	1	1	yes	characteristic
889	C₂	#616985	1	1	yes	characteristic
890	C₂	#619948	1	1	yes	characteristic
891	C₂	#647671	1	1	yes	characteristic
892	C₂	#647699	1	1	yes	characteristic
893	C₂	#648042	1	1	yes	characteristic
894	C₂	#845310	1	1	yes	characteristic
895	C₂	#845325	1	1	yes	characteristic
896	C₂	#845689	1	1	yes	characteristic
897	C₂	#845690	1	1	yes	characteristic
898	C₂	#845705	1	1	yes	characteristic
899	C₂	#845705	1	1	yes	characteristic
900	C₂	#850557	1	1	yes	characteristic
901	C₂	#850566	1	1	yes	characteristic
902	C₂	#850578	1	1	yes	characteristic
903	C₂	#850578	1	1	yes	characteristic
904	C₂	#851176	1	1	yes	characteristic
905	C₂	#851176	1	1	yes	characteristic
906	C₂	#2031997	1	1	yes	characteristic
907	C₂	#2031998	1	1	yes	characteristic
908	C₂	#2031999	1	1	yes	characteristic
909	C₂	#2032000	1	1	yes	characteristic
910	C₂	#2032029	1	1	yes	characteristic
911	C₂	#2032029	1	1	yes	characteristic
912	C₂	#2032505	1	1	yes	characteristic
913	C₂	#2032535	1	1	yes	characteristic
914	C₂	#2032564	1	1	yes	characteristic
915	C₂	#2032564	1	1	yes	characteristic
916	C₂	#2032565	1	1	yes	characteristic
917	C₂	#2032594	1	1	yes	characteristic
918	C₂	#5020720	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁵
prime radical	C₂²×#2846	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
2. C₂×#16255	C₂	semidirect
3. C₂×#15297	C₂	semidirect
4. C₂×#15282	C₂	semidirect
5. C₂×#15268	C₂	semidirect
6. C₂×#14679	C₂	semidirect
7. C₂×#14679	C₂	semidirect
8. C₂×#14358	C₂	semidirect
9. #156815	C₂	semidirect
10. #156815	C₂	semidirect
11. #156814	C₂	semidirect
12. #156689	C₂	semidirect
13. #156688	C₂	semidirect
14. #156688	C₂	semidirect
15. #156688	C₂	semidirect
16. #156688	C₂	semidirect
17. #156688	C₂	semidirect
18. #156688	C₂	semidirect
19. #156688	C₂	semidirect
20. #156688	C₂	semidirect
21. #155799	C₂	semidirect
22. #155632	C₂	semidirect
23. #154677	C₂	semidirect
24. #154677	C₂	semidirect
25. #154677	C₂	semidirect
26. #154676	C₂	semidirect
27. #154676	C₂	semidirect
28. #154676	C₂	semidirect
29. #154671	C₂	semidirect
30. #154671	C₂	semidirect
31. #154671	C₂	semidirect
40. C₂²×#397	C₂²	semidirect
41. C₂²×#396	C₂²	semidirect
42. C₂²×#394	C₂²	semidirect
43. C₂²×#394	C₂²	semidirect
44. C₂²×#394	C₂²	semidirect
45. C₂²×#394	C₂²	semidirect
46. C₂²×#390	C₂²	semidirect
47. C₂²×#390	C₂²	semidirect
48. C₂²×#388	C₂²	semidirect
49. C₂²×#388	C₂²	semidirect
50. C₂²×#388	C₂²	semidirect
86. C₂×#1440	C₂²	semidirect
87. C₂×#1440	C₂²	semidirect
88. C₂×#1440	C₂²	semidirect
89. C₂×#1440	C₂²	semidirect
90. C₂×#1440	C₂²	semidirect
91. C₂×#1440	C₂²	semidirect
92. C₂×#1440	C₂²	semidirect
93. C₂×#1440	C₂²	semidirect
94. C₂×#1440	C₂²	semidirect
95. C₂×#1440	C₂²	semidirect
96. C₂×#1440	C₂²	semidirect
97. C₂×#1439	C₂²	semidirect
98. C₂×#1439	C₂²	semidirect
99. C₂×#1439	C₂²	semidirect
100. C₂×#1439	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
111. C₂×#1439	C₂²	semidirect
112. C₂×#1439	C₂²	semidirect
113. C₂×#1439	C₂²	semidirect
114. C₂×#1439	C₂²	semidirect
115. C₂×#1439	C₂²	semidirect
116. C₂×#1439	C₂²	semidirect
117. C₂×#1439	C₂²	semidirect
118. C₂×#1439	C₂²	semidirect
119. C₂×#1439	C₂²	semidirect
120. C₂×#1439	C₂²	semidirect
121. C₂×#1439	C₂²	semidirect
122. C₂×#1439	C₂²	semidirect
123. C₂×#1439	C₂²	semidirect
124. C₂×#1439	C₂²	semidirect
125. C₂×#1439	C₂²	semidirect
126. C₂×#1438	C₂²	semidirect
127. C₂×#1438	C₂²	semidirect
128. C₂×#1438	C₂²	semidirect
129. C₂×#1438	C₂²	semidirect
130. C₂×#1438	C₂²	semidirect
131. C₂×#1438	C₂²	semidirect
132. C₂×#1438	C₂²	semidirect
133. C₂×#1438	C₂²	semidirect
134. C₂×#1438	C₂²	semidirect
135. C₂×#1438	C₂²	semidirect
136. C₂×#1438	C₂²	semidirect
137. C₂×#1438	C₂²	semidirect
138. C₂×#1438	C₂²	semidirect
139. C₂×#1438	C₂²	semidirect
140. C₂×#1438	C₂²	semidirect
141. C₂×#1438	C₂²	semidirect
142. C₂×#1438	C₂²	semidirect
143. C₂×#1438	C₂²	semidirect
144. C₂×#1438	C₂²	semidirect
145. C₂×#1438	C₂²	semidirect
146. C₂×#1438	C₂²	semidirect
147. C₂×#1438	C₂²	semidirect
148. C₂×#1437	C₂²	semidirect
149. C₂×#1437	C₂²	semidirect
150. C₂×#1437	C₂²	semidirect
151. C₂×#1437	C₂²	semidirect
152. C₂×#1437	C₂²	semidirect
153. C₂×#1437	C₂²	semidirect
154. C₂×#1437	C₂²	semidirect
155. C₂×#1437	C₂²	semidirect
156. C₂×#1437	C₂²	semidirect
157. #7555	C₂²	semidirect
158. #7555	C₂²	semidirect
159. #7555	C₂²	semidirect
160. #7555	C₂²	semidirect
161. #7555	C₂²	semidirect
162. #7555	C₂²	semidirect
163. #7555	C₂²	semidirect
164. #7555	C₂²	semidirect
165. #7555	C₂²	semidirect
166. #7555	C₂²	semidirect
167. #7555	C₂²	semidirect
168. #7555	C₂²	semidirect
169. #7555	C₂²	semidirect
170. #7555	C₂²	semidirect
171. #7555	C₂²	semidirect
172. #7555	C₂²	semidirect
173. #7555	C₂²	semidirect
174. #7555	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
202. C₂³×C₄⋊C₄	C₂³	semidirect
203. C₂³×C₄⋊C₄	C₂³	semidirect
204. C₂³×C₄⋊C₄	C₂³	semidirect
205. C₂³×C₄⋊C₄	C₂³	semidirect
206. C₂³×C₄⋊C₄	C₂³	semidirect
207. C₂³×C₄⋊C₄	C₂³	semidirect
285. C₂³×C₂²⋊C₄	C₂³	semidirect
286. C₂³×C₂²⋊C₄	C₂³	semidirect
287. C₂³×C₂²⋊C₄	C₂³	semidirect
288. C₂³×C₂²⋊C₄	C₂³	semidirect
289. C₂³×C₂²⋊C₄	C₂³	semidirect
290. C₂³×C₂²⋊C₄	C₂³	semidirect
291. C₂³×C₂²⋊C₄	C₂³	semidirect
292. C₂³×C₂²⋊C₄	C₂³	semidirect
293. C₂³×C₄²	C₂³	semidirect
294. C₂³×C₄²	C₂³	semidirect
297. C₂×#379	D₄	semidirect
298. C₂×#379	D₄	semidirect
299. C₂²×#95	C₂³	semidirect
300. C₂²×#95	C₂³	semidirect
301. C₂²×#95	C₂³	semidirect
302. C₂²×#95	C₂³	semidirect
303. C₂²×#95	C₂³	semidirect
304. C₂²×#95	C₂³	semidirect
305. C₂²×#95	C₂³	semidirect
306. C₂²×#95	C₂³	semidirect
307. C₂²×#95	C₂³	semidirect
308. C₂²×#95	C₂³	semidirect
309. C₂²×#95	C₂³	semidirect
310. C₂²×#95	C₂³	semidirect
311. C₂²×#95	C₂³	semidirect
312. C₂²×#95	C₂³	semidirect
313. C₂²×#95	C₂³	semidirect
314. C₂²×#95	C₂³	semidirect
315. C₂²×#95	C₂³	semidirect
316. C₂²×#95	C₂³	semidirect
317. C₂²×#95	C₂³	semidirect
318. C₂²×#95	C₂³	semidirect
319. C₂²×#95	C₂³	semidirect
320. C₂²×#95	C₂³	semidirect
321. C₂²×#95	C₂³	semidirect
322. C₂²×#95	C₂³	semidirect
323. C₂²×#95	C₂³	semidirect
324. C₂²×#95	C₂³	semidirect
325. C₂²×#95	C₂³	semidirect
326. C₂²×#95	C₂³	semidirect
327. C₂²×#95	C₂³	semidirect
328. C₂²×#95	C₂³	semidirect
329. C₂²×#95	C₂³	semidirect
330. C₂²×#95	C₂³	semidirect
331. C₂²×#95	C₂³	semidirect
332. C₂²×#95	C₂³	semidirect
333. C₂²×#95	C₂³	semidirect
334. C₂²×#95	C₂³	semidirect
335. C₂²×#95	C₂³	semidirect
336. C₂²×#95	C₂³	semidirect
337. C₂²×#95	C₂³	semidirect
338. C₂²×#95	C₂³	semidirect
339. C₂²×#95	C₂³	semidirect
340. C₂²×#95	C₂³	semidirect
341. C₂²×#95	C₂³	semidirect
342. C₂²×#95	C₂³	semidirect
343. C₂²×#95	C₂³	semidirect
344. C₂²×#95	C₂³	semidirect
345. C₂²×#95	C₂³	semidirect
346. C₂²×#95	C₂³	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#2846	2
C₂×#16255	2
C₂×#15297	2
C₂×#15282	2
C₂×#15268	2
C₂×#14679	2
C₂×#14358	2
#156815	2
#156814	2
#156689	2
#156688	2
#155799	2
#155632	2
#154677	2
#154676	2
#154671	2