Subgroups — #72330383

Order 1024.

At least 9390 conjugacy classes of subgroups; only the 2353 normal subgroups are shown.

The subgroup lattice has 1067 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×#2403	C₂	1	1	yes	maximal, characteristic
2	C₂²×#2358	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14134	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#13967	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#13967	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#13867	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#13867	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#1438	C₂	1	1	yes	maximal, characteristic, complemented
10	#155877	C₂	1	1	yes	maximal, characteristic, complemented
11	#155875	C₂	1	1	yes	maximal, characteristic, complemented
12	#155258	C₂	1	1	yes	maximal, characteristic, complemented
13	#155116	C₂	1	1	yes	maximal, characteristic, complemented
14	#155066	C₂	1	1	yes	maximal, characteristic, complemented
15	#155065	C₂	1	1	yes	maximal, characteristic, complemented
16	#154737	C₂	1	1	yes	maximal, characteristic, complemented
17	#154684	C₂	1	1	yes	maximal, characteristic, complemented
18	#154671	C₂	1	1	yes	maximal, characteristic, complemented
19	#154670	C₂	1	1	yes	maximal, characteristic, complemented
20	#154635	C₂	1	1	yes	maximal, characteristic, complemented
21	#154634	C₂	1	1	yes	maximal, characteristic, complemented
22	#154208	C₂	1	1	yes	maximal, characteristic, complemented
23	#154199	C₂	1	1	yes	maximal, characteristic, complemented
24	#154195	C₂	1	1	yes	maximal, characteristic, complemented
25	#154195	C₂	1	1	yes	maximal, characteristic, complemented
26	#154194	C₂	1	1	yes	maximal, characteristic, complemented
27	#153827	C₂	1	1	yes	maximal, characteristic, complemented
28	#153827	C₂	1	1	yes	maximal, characteristic, complemented
29	#153793	C₂	1	1	yes	maximal, characteristic, complemented
30	#153775	C₂	1	1	yes	maximal, characteristic, complemented
31	#153749	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁵×D₄	C₂²	1	1	yes	characteristic
33	C₂⁵×D₄	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×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
45	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×#2403	C₄	1	16	yes	complemented
48	C₂²×#392	C₂²	1	1	yes	characteristic
49	C₂²×#392	C₂²	1	1	yes	characteristic
50	C₂²×#392	C₂²	1	1	yes	characteristic
51	C₂²×#392	C₂²	1	1	yes	characteristic
52	C₂²×#390	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#390	C₂²	1	1	yes	characteristic, complemented
54	C₂²×#390	C₂²	1	1	yes	characteristic, complemented
55	C₂²×#388	C₂²	1	1	yes	characteristic, complemented
56	C₂²×#388	C₂²	1	1	yes	characteristic, complemented
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, complemented
70	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
72	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
73	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
74	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
75	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
76	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
77	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
79	C₂²×#385	C₂²	1	1	yes	characteristic, complemented
80	C₂²×#385	C₂²	1	1	yes	characteristic, complemented
81	C₂²×#380	C₂²	1	1	yes	characteristic, complemented
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, complemented
86	C₂²×#379	C₂²	1	1	yes	characteristic, complemented
87	C₂²×#379	C₂²	1	1	yes	characteristic, complemented
88	C₂²×#379	C₂²	1	1	yes	characteristic, complemented
89	C₂²×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
90	C₂²×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
91	C₂²×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
92	C₂³×#95	C₂²	1	1	yes	characteristic, complemented
93	C₂³×#95	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×#1439	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×#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
108	C₂×#1438	C₂²	1	1	yes	characteristic
109	C₂×#1438	C₂²	1	1	yes	characteristic
110	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
111	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
112	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
113	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
114	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
115	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
116	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
117	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
118	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
119	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
120	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
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×#1437	C₂²	1	1	yes	characteristic, complemented
129	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
130	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
131	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
132	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
133	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
134	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
135	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
147	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
151	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
152	#7557	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	#7556	C₂²	1	1	yes	characteristic, complemented
159	#7556	C₂²	1	1	yes	characteristic, complemented
160	#7556	C₂²	1	1	yes	characteristic, complemented
161	#7556	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	#7554	C₂²	1	1	yes	characteristic, complemented
183	#7554	C₂²	1	1	yes	characteristic, complemented
184	#7554	C₂²	1	1	yes	characteristic, complemented
185	#7554	C₂²	1	1	yes	characteristic, complemented
186	#7554	C₂²	1	1	yes	characteristic, complemented
187	#7554	C₂²	1	1	yes	characteristic, complemented
188	C₂⁷	C₂³	1	1	yes	characteristic
189	C₂⁷	C₂³	1	1	yes	characteristic
190	C₂⁷	C₂³	1	1	yes	characteristic
191	C₂⁴×D₄	C₂×C₄	1	8	yes	complemented
192	C₂⁴×D₄	C₂×C₄	1	8	yes	complemented
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	C₂⁴×D₄	C₂³	1	1	yes	characteristic
201	C₂⁴×D₄	C₂³	1	1	yes	characteristic
202	C₂⁴×D₄	C₂³	1	1	yes	characteristic
203	C₂⁴×D₄	C₂³	1	1	yes	characteristic
204	C₂⁴×D₄	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	C₂⁵×C₄	C₂³	1	1	yes	characteristic
212	C₂⁵×C₄	C₂³	1	1	yes	characteristic
213	C₂⁵×C₄	C₂³	1	1	yes	characteristic
214	C₂⁵×C₄	C₂³	1	1	yes	characteristic
215	C₂²×#120	C₂×C₄	1	8	yes	—
216	C₂²×#120	C₂×C₄	1	8	yes	complemented
217	C₂²×#120	C₂×C₄	1	8	yes	complemented
218	C₂²×#120	C₂×C₄	1	8	yes	complemented
219	C₂²×#120	D₄	1	8	yes	—
220	C₂²×#120	D₄	1	8	yes	—
221	C₂²×C₄×D₄	D₄	1	8	yes	complemented
222	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₄⋊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
286	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂³×C₄²	C₂³	1	1	yes	characteristic
289	C₂³×C₄²	C₂³	1	1	yes	characteristic
290	C₂³×C₄²	C₂³	1	1	yes	characteristic
291	C₂³×C₄²	C₂³	1	1	yes	characteristic
292	C₂×#392	C₂×C₄	1	8	yes	complemented
293	C₂×#392	C₂×C₄	1	8	yes	complemented
294	C₂×#392	C₂×C₄	1	8	yes	complemented
295	C₂×#392	C₂×C₄	1	8	yes	complemented
296	C₂×#386	C₂×C₄	1	8	yes	complemented
297	C₂×#386	C₂×C₄	1	8	yes	complemented
298	C₂×#386	C₂×C₄	1	8	yes	complemented
299	C₂×#386	C₂×C₄	1	8	yes	complemented
300	C₂×#386	D₄	1	8	yes	complemented
301	C₂×#386	D₄	1	8	yes	complemented
302	C₂×#379	C₂×C₄	1	8	yes	complemented
303	C₂×#379	D₄	1	8	yes	complemented
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	C₂³	1	1	yes	characteristic
349	C₂²×#95	C₂³	1	1	yes	characteristic
350	C₂²×#95	C₂³	1	1	yes	characteristic
351	C₂²×#95	C₂³	1	1	yes	characteristic
352	C₂²×#95	C₂³	1	1	yes	characteristic
353	C₂²×#95	C₂³	1	1	yes	characteristic
354	C₂²×#95	C₂³	1	1	yes	characteristic
355	C₂²×#95	C₂³	1	1	yes	characteristic
356	C₂²×#95	C₂³	1	1	yes	characteristic
357	C₂²×#95	C₂³	1	1	yes	characteristic
358	C₂²×#95	C₂³	1	1	yes	characteristic
359	C₂²×#95	C₂³	1	1	yes	characteristic
360	C₂²×#95	C₂³	1	1	yes	characteristic
361	C₂²×#95	C₂³	1	1	yes	characteristic
362	C₂²×#95	C₂³	1	1	yes	characteristic
363	C₂²×#95	C₂³	1	1	yes	characteristic
364	#1438	D₄	1	8	yes	complemented
365	C₂⁶	C₂²×C₄	1	4	yes	—
366	C₂⁶	C₂²×C₄	1	4	yes	—
367	C₂⁶	C₂²×C₄	1	4	yes	—
368	C₂⁶	C₂×D₄	1	4	yes	—
369	C₂⁶	C₂×D₄	1	4	yes	—
370	C₂⁶	C₂×D₄	1	4	yes	—
371	C₂⁶	#41	1	4	yes	—
372	C₂⁶	C₂⁴	1	1	yes	characteristic
373	C₂⁶	C₂⁴	1	1	yes	characteristic
374	C₂⁶	C₂⁴	1	1	yes	characteristic
375	C₂⁶	C₂⁴	1	1	yes	characteristic
376	C₂⁶	C₂⁴	1	1	yes	characteristic
377	C₂⁶	C₂⁴	1	1	yes	characteristic
378	C₂⁶	C₂⁴	1	1	yes	characteristic
379	C₂³×D₄	C₂²×C₄	1	4	yes	—
380	C₂³×D₄	C₂²×C₄	1	4	yes	—
381	C₂³×D₄	C₂²×C₄	1	4	yes	—
382	C₂³×D₄	C₂²×C₄	1	4	yes	—
383	C₂³×D₄	C₂²×C₄	1	4	yes	—
384	C₂³×D₄	C₂²×C₄	1	4	yes	—
385	C₂³×D₄	C₂²×C₄	1	4	yes	—
386	C₂³×D₄	C₂²×C₄	1	4	yes	—
387	C₂³×D₄	C₂²×C₄	1	4	yes	—
388	C₂³×D₄	C₂²×C₄	1	4	yes	—
389	C₂³×D₄	C₂²×C₄	1	4	yes	—
390	C₂³×D₄	C₂²×C₄	1	4	yes	—
391	C₂³×D₄	C₂×D₄	1	4	yes	—
392	C₂³×D₄	C₂×D₄	1	4	yes	—
393	C₂³×D₄	C₂×D₄	1	4	yes	—
394	C₂³×D₄	C₂×D₄	1	4	yes	—
395	C₂³×D₄	C₂×D₄	1	4	yes	—
396	C₂³×D₄	C₂×D₄	1	4	yes	—
397	C₂³×D₄	C₂×D₄	1	4	yes	—
398	C₂³×D₄	C₂×D₄	1	4	yes	—
399	C₂³×D₄	C₂×D₄	1	4	yes	—
400	C₂³×D₄	C₂×D₄	1	4	yes	—
401	C₂³×D₄	#41	1	4	yes	—
402	C₂³×D₄	#41	1	4	yes	—
403	C₂³×D₄	#41	1	4	yes	—
404	C₂³×D₄	#41	1	4	yes	—
405	C₂⁴×C₄	C₂²×C₄	1	4	yes	—
406	C₂⁴×C₄	C₂²×C₄	1	4	yes	—
407	C₂⁴×C₄	C₂×D₄	1	4	yes	—
408	C₂⁴×C₄	C₂×D₄	1	4	yes	—
409	C₂⁴×C₄	C₂×D₄	1	4	yes	—
410	C₂⁴×C₄	C₂×D₄	1	4	yes	complemented
411	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
412	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
413	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
414	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
415	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
416	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
417	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
419	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
420	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
421	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
422	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
423	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
424	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
425	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
426	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
427	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
428	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
429	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
430	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
431	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
432	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
433	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
434	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
435	C₂×#120	C₂²⋊C₄	1	64	yes	complemented
436	C₂²×C₄⋊C₄	C₂×D₄	1	4	yes	complemented
437	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
438	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
439	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
440	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
441	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
442	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
443	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
444	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
445	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
446	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
447	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
448	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
449	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
450	C₂²×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
451	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
452	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
453	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
454	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
455	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
456	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
457	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
458	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
459	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
460	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
461	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
462	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
463	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
464	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
465	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
466	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
467	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
468	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
469	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
470	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
471	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
472	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
473	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
474	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
475	C₂²×C₄²	C₂×D₄	1	4	yes	complemented
476	C₂×#95	C₂²×C₄	1	4	yes	—
477	C₂×#95	C₂²×C₄	1	4	yes	—
478	C₂×#95	C₂²×C₄	1	4	yes	—
479	C₂×#95	C₂²×C₄	1	4	yes	—
480	C₂×#95	C₂×D₄	1	4	yes	complemented
481	C₂×#95	C₂×D₄	1	4	yes	complemented
482	C₂×#95	C₂×D₄	1	4	yes	complemented
483	C₂×#95	C₂×D₄	1	4	yes	complemented
484	C₂×#95	C₂×D₄	1	4	yes	complemented
485	C₂×#95	C₂×D₄	1	4	yes	complemented
486	C₂⁵	C₂×C₂²⋊C₄	1	16	yes	complemented
487	C₂⁵	C₄×D₄	1	16	yes	complemented
488	C₂⁵	C₂³×C₄	1	2	yes	—
489	C₂⁵	C₂³×C₄	1	2	yes	—
490	C₂⁵	C₂³×C₄	1	2	yes	—
491	C₂⁵	C₂³×C₄	1	2	yes	—
492	C₂⁵	C₂³×C₄	1	2	yes	—
493	C₂⁵	C₂³×C₄	1	2	yes	—
494	C₂⁵	C₂³×C₄	1	2	yes	—
495	C₂⁵	C₂²×D₄	1	2	yes	—
496	C₂⁵	C₂²×D₄	1	2	yes	—
497	C₂⁵	C₂²×D₄	1	2	yes	—
498	C₂⁵	C₂²×D₄	1	2	yes	—
499	C₂⁵	C₂²×D₄	1	2	yes	—
500	C₂⁵	C₂²×D₄	1	2	yes	—
501	C₂⁵	C₂²×D₄	1	2	yes	—
502	C₂⁵	C₂²×D₄	1	2	yes	—
503	C₂⁵	C₂²×D₄	1	2	yes	—
504	C₂⁵	C₂²×D₄	1	2	yes	—
505	C₂⁵	C₂²×D₄	1	2	yes	—
506	C₂⁵	C₂²×D₄	1	2	yes	—
507	C₂⁵	C₂²×D₄	1	2	yes	—
508	C₂⁵	C₂²×D₄	1	2	yes	—
509	C₂⁵	C₂²×D₄	1	2	yes	—
510	C₂⁵	C₂²×D₄	1	2	yes	—
511	C₂⁵	C₂²×D₄	1	2	yes	—
512	C₂⁵	C₂²×D₄	1	2	yes	—
513	C₂⁵	C₂²×D₄	1	2	yes	—
514	C₂⁵	C₂×#41	1	2	yes	—
515	C₂⁵	C₂×#41	1	2	yes	—
516	C₂⁵	C₂×#41	1	2	yes	—
517	C₂⁵	C₂×#41	1	2	yes	—
518	C₂⁵	C₂×#41	1	2	yes	—
519	C₂⁵	C₂×#41	1	2	yes	—
520	C₂⁵	C₂×#41	1	2	yes	—
521	C₂⁵	C₂×#41	1	2	yes	—
522	C₂⁵	C₂×#41	1	2	yes	—
523	C₂⁵	C₂×#41	1	2	yes	—
524	C₂⁵	C₂×#41	1	2	yes	—
525	C₂⁵	H(5,𝔽₂)	1	2	yes	—
526	C₂⁵	H(5,𝔽₂)	1	2	yes	—
527	C₂⁵	H(5,𝔽₂)	1	2	yes	—
528	C₂⁵	H(5,𝔽₂)	1	2	yes	—
529	C₂⁵	H(5,𝔽₂)	1	2	yes	—
530	C₂⁵	H(5,𝔽₂)	1	2	yes	—
531	C₂⁵	H(5,𝔽₂)	1	2	yes	—
532	C₂⁵	H(5,𝔽₂)	1	2	yes	—
533	C₂⁵	C₂⁵	1	1	yes	characteristic
534	C₂²×D₄	C₂×C₂²⋊C₄	1	16	yes	—
535	C₂²×D₄	C₂×C₂²⋊C₄	1	16	yes	complemented
536	C₂²×D₄	C₂×C₂²⋊C₄	1	16	yes	complemented
537	C₂²×D₄	C₄×D₄	1	16	yes	—
538	C₂²×D₄	C₄×D₄	1	16	yes	—
539	C₂²×D₄	C₄×D₄	1	16	yes	complemented
540	C₂²×D₄	C₄×D₄	1	16	yes	complemented
541	C₂²×D₄	#120	1	16	yes	—
542	C₂²×D₄	#121	1	16	yes	—
543	C₂²×D₄	#121	1	16	yes	—
544	C₂²×D₄	#123	1	16	yes	—
545	C₂³×C₄	C₂³×C₄	1	2	yes	—
546	C₂³×C₄	C₂³×C₄	1	2	yes	—
547	C₂³×C₄	C₂³×C₄	1	2	yes	—
548	C₂³×C₄	C₂³×C₄	1	2	yes	—
549	C₂³×C₄	C₂³×C₄	1	2	yes	—
550	C₂³×C₄	C₂³×C₄	1	2	yes	—
551	C₂³×C₄	C₂³×C₄	1	2	yes	—
552	C₂³×C₄	C₂³×C₄	1	2	yes	—
553	C₂³×C₄	C₂²×D₄	1	2	yes	—
554	C₂³×C₄	C₂²×D₄	1	2	yes	—
555	C₂³×C₄	C₂²×D₄	1	2	yes	—
556	C₂³×C₄	C₂²×D₄	1	2	yes	—
557	C₂³×C₄	C₂²×D₄	1	2	yes	—
558	C₂³×C₄	C₂²×D₄	1	2	yes	—
559	C₂³×C₄	C₂²×D₄	1	2	yes	—
560	C₂³×C₄	C₂²×D₄	1	2	yes	—
561	C₂³×C₄	C₂²×D₄	1	2	yes	—
562	C₂³×C₄	C₂²×D₄	1	2	yes	—
563	C₂³×C₄	C₂²×D₄	1	2	yes	—
564	C₂³×C₄	C₂²×D₄	1	2	yes	—
565	C₂³×C₄	C₂²×D₄	1	2	yes	—
566	C₂³×C₄	C₂²×D₄	1	2	yes	—
567	C₂³×C₄	C₂²×D₄	1	2	yes	—
568	C₂³×C₄	C₂²×D₄	1	2	yes	—
569	C₂³×C₄	C₂²×D₄	1	2	yes	—
570	C₂³×C₄	C₂²×D₄	1	2	yes	—
571	C₂³×C₄	C₂²×D₄	1	2	yes	—
572	C₂³×C₄	C₂²×D₄	1	2	yes	—
573	C₂³×C₄	C₂²×D₄	1	2	yes	—
574	C₂³×C₄	C₂²×D₄	1	2	yes	—
575	C₂³×C₄	C₂²×D₄	1	2	yes	—
576	C₂³×C₄	C₂²×D₄	1	2	yes	—
577	C₂³×C₄	C₂²×D₄	1	2	yes	—
578	C₂³×C₄	C₂²×D₄	1	2	yes	—
579	C₂³×C₄	C₂²×D₄	1	2	yes	—
580	C₂³×C₄	C₂²×D₄	1	2	yes	—
581	C₂³×C₄	C₂²×D₄	1	2	yes	—
582	C₂³×C₄	C₂²×D₄	1	2	yes	—
583	C₂³×C₄	C₂×#41	1	2	yes	—
584	C₂³×C₄	C₂×#41	1	2	yes	—
585	C₂³×C₄	C₂×#41	1	2	yes	—
586	C₂³×C₄	C₂×#41	1	2	yes	—
587	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
588	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
589	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
590	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
591	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
592	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
593	C₂×C₂²⋊C₄	C₂×C₂²⋊C₄	1	16	yes	complemented
594	C₂×C₂²⋊C₄	C₂×C₂²⋊C₄	1	16	yes	complemented
595	C₂×C₂²⋊C₄	C₂×C₂²⋊C₄	1	16	yes	complemented
596	C₂×C₂²⋊C₄	#120	1	16	yes	complemented
597	C₂⁴	C₂²×C₂²⋊C₄	1	4	yes	—
598	C₂⁴	C₂²×C₂²⋊C₄	1	4	yes	—
599	C₂⁴	C₂²×C₂²⋊C₄	1	4	yes	—
600	C₂⁴	C₂²×C₂²⋊C₄	1	4	yes	—
601	C₂⁴	C₂×C₄×D₄	1	4	yes	—
602	C₂⁴	C₂×C₄×D₄	1	4	yes	—
603	C₂⁴	C₂×C₄×D₄	1	4	yes	—
604	C₂⁴	C₂×C₄×D₄	1	4	yes	—
605	C₂⁴	C₂×C₄×D₄	1	4	yes	—
606	C₂⁴	C₂×C₄×D₄	1	4	yes	—
607	C₂⁴	C₂×C₄×D₄	1	4	yes	—
608	C₂⁴	C₂×C₄×D₄	1	4	yes	—
609	C₂⁴	C₂×C₄×D₄	1	4	yes	—
610	C₂⁴	C₂×C₄×D₄	1	4	yes	—
611	C₂⁴	C₂×C₄×D₄	1	4	yes	—
612	C₂⁴	#518	1	4	yes	—
613	C₂⁴	#518	1	4	yes	—
614	C₂⁴	#518	1	4	yes	—
615	C₂⁴	#518	1	4	yes	—
616	C₂⁴	C₂×#120	1	4	yes	—
617	C₂⁴	C₂×#120	1	4	yes	—
618	C₂⁴	C₂×#120	1	4	yes	—
619	C₂⁴	C₂×#121	1	4	yes	—
620	C₂⁴	C₂×#121	1	4	yes	—
621	C₂⁴	C₂×#121	1	4	yes	—
622	C₂⁴	C₂×#121	1	4	yes	—
623	C₂⁴	C₂×#123	1	4	yes	—
624	C₂⁴	C₂×#123	1	4	yes	—
625	C₂⁴	#525	1	4	yes	—
626	C₂⁴	#525	1	4	yes	—
627	C₂⁴	#525	1	4	yes	—
628	C₂⁴	#534	1	4	yes	—
629	C₂⁴	#535	1	4	yes	—
630	C₂⁴	#538	1	4	yes	—
631	C₂⁴	#538	1	4	yes	—
632	C₂⁴	D₄²	1	4	yes	—
633	C₂⁴	D₄²	1	4	yes	—
634	C₂⁴	D₄²	1	4	yes	—
635	C₂⁴	D₄²	1	4	yes	—
636	C₂⁴	D₄²	1	4	yes	—
637	C₂⁴	D₄²	1	4	yes	—
638	C₂⁴	D₄²	1	4	yes	—
639	C₂⁴	D₄²	1	4	yes	—
640	C₂⁴	D₄²	1	4	yes	—
641	C₂⁴	#546	1	4	yes	—
642	C₂⁴	#546	1	4	yes	—
643	C₂⁴	#546	1	4	yes	—
644	C₂⁴	#546	1	4	yes	—
645	C₂⁴	#546	1	4	yes	—
646	C₂⁴	#546	1	4	yes	—
647	C₂⁴	#546	1	4	yes	—
648	C₂⁴	#546	1	4	yes	—
649	C₂⁴	#546	1	4	yes	—
650	C₂⁴	#546	1	4	yes	—
651	C₂⁴	#546	1	4	yes	—
652	C₂⁴	#546	1	4	yes	—
653	C₂⁴	#551	1	4	yes	—
654	C₂⁴	#551	1	4	yes	—
655	C₂⁴	#551	1	4	yes	—
656	C₂⁴	C₂⁴×C₄	1	1	yes	characteristic
657	C₂⁴	C₂³×D₄	1	1	yes	characteristic
658	C₂⁴	C₂³×D₄	1	1	yes	characteristic
659	C₂⁴	C₂³×D₄	1	1	yes	characteristic
660	C₂⁴	C₂³×D₄	1	1	yes	characteristic
661	C₂⁴	C₂³×D₄	1	1	yes	characteristic
662	C₂⁴	C₂³×D₄	1	1	yes	characteristic
663	C₂⁴	C₂³×D₄	1	1	yes	characteristic
664	C₂⁴	C₂²×#41	1	1	yes	characteristic
665	C₂⁴	C₂²×#41	1	1	yes	characteristic
666	C₂⁴	C₂²×#41	1	1	yes	characteristic
667	C₂⁴	C₂²×#41	1	1	yes	characteristic
668	C₂⁴	C₂²×#41	1	1	yes	characteristic
669	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
670	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
671	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
672	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
673	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
674	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
675	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
676	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
677	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
678	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
679	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
680	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
683	C₂⁴	#585	1	1	yes	characteristic
684	C₂⁴	#585	1	1	yes	characteristic
685	C₂⁴	#585	1	1	yes	characteristic
686	C₂⁴	#585	1	1	yes	characteristic
687	C₂×D₄	#386	1	64	yes	complemented
688	C₂²×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
689	C₂²×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
690	C₂²×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
691	C₂²×C₄	C₂×C₄×D₄	1	4	yes	—
692	C₂²×C₄	C₂×C₄×D₄	1	4	yes	—
693	C₂²×C₄	C₂×C₄×D₄	1	4	yes	—
694	C₂²×C₄	C₂×C₄×D₄	1	4	yes	—
695	C₂²×C₄	#518	1	4	yes	—
696	C₂²×C₄	C₂×#120	1	4	yes	—
697	C₂²×C₄	C₂×#120	1	4	yes	—
698	C₂²×C₄	C₂×#120	1	4	yes	—
699	C₂²×C₄	C₂×#121	1	4	yes	—
700	C₂²×C₄	C₂×#121	1	4	yes	—
701	C₂²×C₄	C₂×#123	1	4	yes	—
702	C₂²×C₄	D₄²	1	4	yes	—
703	C₂²×C₄	D₄²	1	4	yes	—
704	C₂²×C₄	D₄²	1	4	yes	—
705	C₂³	C₂×#386	1	8	yes	—
706	C₂³	C₂×#386	1	8	yes	—
707	C₂³	C₄×#120	1	8	yes	—
708	C₂³	#2321	1	8	yes	—
709	C₂³	D₄×C₂²⋊C₄	1	8	yes	—
710	C₂³	D₄×C₂²⋊C₄	1	8	yes	—
711	C₂³	D₄×C₂²⋊C₄	1	8	yes	complemented
712	C₂³	#2358	1	8	yes	—
713	C₂³	#2358	1	8	yes	—
714	C₂³	#2358	1	8	yes	complemented
715	C₂³	#2403	1	8	yes	—
716	C₂³	#2404	1	8	yes	—
717	C₂³	#2408	1	8	yes	—
718	C₂³	#2418	1	8	yes	—
719	C₂³	#2418	1	8	yes	—
720	C₂³	#2424	1	8	yes	—
721	C₂³	#2424	1	8	yes	—
722	C₂³	#2534	1	8	yes	—
723	C₂³	C₂³×C₂²⋊C₄	1	1	yes	characteristic
724	C₂³	C₂²×C₄×D₄	1	1	yes	characteristic
725	C₂³	C₂²×C₄×D₄	1	1	yes	characteristic
726	C₂³	C₂²×C₄×D₄	1	1	yes	characteristic
727	C₂³	C₂²×C₄×D₄	1	1	yes	characteristic
728	C₂³	C₂²×C₄×D₄	1	1	yes	characteristic
729	C₂³	C₂×#518	1	1	yes	characteristic
730	C₂³	C₂×#518	1	1	yes	characteristic
731	C₂³	C₂×#518	1	1	yes	characteristic
732	C₂³	C₂×#518	1	1	yes	characteristic
733	C₂³	C₂×#518	1	1	yes	characteristic
734	C₂³	C₄×H(5,𝔽₂)	1	1	yes	characteristic
735	C₂³	C₄×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂³	C₄×H(5,𝔽₂)	1	1	yes	characteristic
737	C₂³	C₄×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂³	C₂²×#120	1	1	yes	characteristic
739	C₂³	C₂²×#120	1	1	yes	characteristic
740	C₂³	C₂²×#121	1	1	yes	characteristic
741	C₂³	C₂²×#121	1	1	yes	characteristic
742	C₂³	C₂²×#123	1	1	yes	characteristic
743	C₂³	C₂×#525	1	1	yes	characteristic
744	C₂³	C₂×#525	1	1	yes	characteristic
745	C₂³	C₂×#525	1	1	yes	characteristic
746	C₂³	C₂×#534	1	1	yes	characteristic
747	C₂³	C₂×#535	1	1	yes	characteristic
748	C₂³	C₂×#538	1	1	yes	characteristic
749	C₂³	C₂×#538	1	1	yes	characteristic
750	C₂³	C₂×D₄²	1	1	yes	characteristic
751	C₂³	C₂×D₄²	1	1	yes	characteristic
752	C₂³	C₂×D₄²	1	1	yes	characteristic
753	C₂³	C₂×D₄²	1	1	yes	characteristic
754	C₂³	C₂×D₄²	1	1	yes	characteristic
755	C₂³	C₂×D₄²	1	1	yes	characteristic
756	C₂³	C₂×D₄²	1	1	yes	characteristic
757	C₂³	C₂×D₄²	1	1	yes	characteristic
758	C₂³	C₂×D₄²	1	1	yes	characteristic
759	C₂³	C₂×D₄²	1	1	yes	characteristic
760	C₂³	C₂×D₄²	1	1	yes	characteristic
761	C₂³	C₂×D₄²	1	1	yes	characteristic
762	C₂³	C₂×#546	1	1	yes	characteristic
763	C₂³	C₂×#546	1	1	yes	characteristic
764	C₂³	C₂×#546	1	1	yes	characteristic
765	C₂³	C₂×#546	1	1	yes	characteristic
766	C₂³	C₂×#546	1	1	yes	characteristic
767	C₂³	C₂×#546	1	1	yes	characteristic
768	C₂³	C₂×#546	1	1	yes	characteristic
769	C₂³	C₂×#546	1	1	yes	characteristic
770	C₂³	C₂×#546	1	1	yes	characteristic
771	C₂³	C₂×#546	1	1	yes	characteristic
772	C₂³	C₂×#546	1	1	yes	characteristic
773	C₂³	C₂×#546	1	1	yes	characteristic
774	C₂³	D₄×#41	1	1	yes	characteristic
775	C₂³	D₄×#41	1	1	yes	characteristic
776	C₂³	D₄×#41	1	1	yes	characteristic
777	C₂³	D₄×#41	1	1	yes	characteristic
778	C₂³	D₄×#41	1	1	yes	characteristic
779	C₂³	D₄×#41	1	1	yes	characteristic
780	C₂³	C₂×#551	1	1	yes	characteristic
781	C₂³	C₂×#551	1	1	yes	characteristic
782	C₂³	C₂×#551	1	1	yes	characteristic
783	C₂³	#3481	1	1	yes	characteristic
784	C₂³	#3481	1	1	yes	characteristic
785	C₂³	#3481	1	1	yes	characteristic
786	C₂³	#3484	1	1	yes	characteristic
787	C₂³	#3484	1	1	yes	characteristic
788	C₂³	#3484	1	1	yes	characteristic
789	C₂³	#3484	1	1	yes	characteristic
790	C₂³	#3484	1	1	yes	characteristic
791	C₂³	#3484	1	1	yes	characteristic
792	C₂³	#3484	1	1	yes	characteristic
793	C₂³	#3484	1	1	yes	characteristic
794	C₂³	#3484	1	1	yes	characteristic
795	C₂³	#3484	1	1	yes	characteristic
796	C₂³	#3484	1	1	yes	characteristic
797	C₂³	#3484	1	1	yes	characteristic
798	C₂³	#3484	1	1	yes	characteristic
799	C₂³	#3484	1	1	yes	characteristic
800	C₂³	#3484	1	1	yes	characteristic
801	C₂³	#3484	1	1	yes	characteristic
802	C₂³	#3484	1	1	yes	characteristic
803	C₂³	#3484	1	1	yes	characteristic
804	C₂³	#3485	1	1	yes	characteristic
805	C₂³	#3485	1	1	yes	characteristic
806	C₂³	#3485	1	1	yes	characteristic
807	C₂³	#3488	1	1	yes	characteristic
808	C₂³	#3488	1	1	yes	characteristic
809	C₂³	#3488	1	1	yes	characteristic
810	C₂³	#3488	1	1	yes	characteristic
811	C₂³	#3488	1	1	yes	characteristic
812	C₂³	#3488	1	1	yes	characteristic
813	C₂³	#3488	1	1	yes	characteristic
814	C₂³	#3490	1	1	yes	characteristic
815	C₂³	#3490	1	1	yes	characteristic
816	C₂³	#3490	1	1	yes	characteristic
817	C₂³	#3490	1	1	yes	characteristic
818	C₂³	#3490	1	1	yes	characteristic
819	C₂³	#3491	1	1	yes	characteristic
820	C₂³	#3496	1	1	yes	characteristic
821	C₂³	#3496	1	1	yes	characteristic
822	C₂³	#3496	1	1	yes	characteristic
823	C₂³	#3496	1	1	yes	characteristic
824	C₂³	#3496	1	1	yes	characteristic
825	C₂³	#3496	1	1	yes	characteristic
826	C₂³	#3496	1	1	yes	characteristic
827	C₂³	#3496	1	1	yes	characteristic
828	C₂³	#3496	1	1	yes	characteristic
829	C₂³	#3498	1	1	yes	characteristic
830	C₂³	#3498	1	1	yes	characteristic
831	C₂³	#3498	1	1	yes	characteristic
832	C₂³	#3505	1	1	yes	characteristic
833	C₂³	#3505	1	1	yes	characteristic
834	C₂³	#3513	1	1	yes	characteristic
835	C₂³	#3513	1	1	yes	characteristic
836	C₂³	#3513	1	1	yes	characteristic
837	C₂³	#3513	1	1	yes	characteristic
838	C₂³	#3513	1	1	yes	characteristic
839	C₂³	#3513	1	1	yes	characteristic
840	C₂³	#3513	1	1	yes	characteristic
841	C₂³	#3514	1	1	yes	characteristic
842	C₂³	#3514	1	1	yes	characteristic
843	C₂³	#3514	1	1	yes	characteristic
844	C₂³	#3519	1	1	yes	characteristic
845	C₂³	#3519	1	1	yes	characteristic
846	C₂³	#3519	1	1	yes	characteristic
847	C₂³	#3519	1	1	yes	characteristic
848	C₂³	#3519	1	1	yes	characteristic
849	C₂³	#3519	1	1	yes	characteristic
850	C₂³	#3519	1	1	yes	characteristic
851	C₂³	#3519	1	1	yes	characteristic
852	C₂³	#3519	1	1	yes	characteristic
853	C₂³	#3519	1	1	yes	characteristic
854	C₂³	#3532	1	1	yes	characteristic
855	C₂³	#3532	1	1	yes	characteristic
856	C₂³	#3532	1	1	yes	characteristic
857	C₂³	#3532	1	1	yes	characteristic
858	C₂³	#3532	1	1	yes	characteristic
859	C₂³	#3532	1	1	yes	characteristic
860	C₂³	#3534	1	1	yes	characteristic
861	C₂³	#3534	1	1	yes	characteristic
862	C₂³	#3534	1	1	yes	characteristic
863	C₂³	#3534	1	1	yes	characteristic
864	C₂³	#3534	1	1	yes	characteristic
865	C₂³	#3534	1	1	yes	characteristic
866	C₂³	#3534	1	1	yes	characteristic
867	C₂³	#3534	1	1	yes	characteristic
868	C₂³	#3537	1	1	yes	characteristic
869	C₂³	#3537	1	1	yes	characteristic
870	C₂³	#3537	1	1	yes	characteristic
871	C₂³	#3542	1	1	yes	characteristic
872	C₂³	#3543	1	1	yes	characteristic
873	C₂³	#3543	1	1	yes	characteristic
874	C₂³	#3543	1	1	yes	characteristic
875	C₂³	#3545	1	1	yes	characteristic
876	C₂³	#3545	1	1	yes	characteristic
877	C₂³	#3558	1	1	yes	characteristic
878	C₂×C₄	C₂×#386	1	8	yes	—
879	C₂²	#13967	1	16	yes	complemented
880	C₂²	C₂²×#386	1	1	yes	characteristic
881	C₂²	C₂×C₄×#120	1	1	yes	characteristic
882	C₂²	C₂×#2321	1	1	yes	characteristic
883	C₂²	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
884	C₂²	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
885	C₂²	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
886	C₂²	C₂×#2358	1	1	yes	characteristic
887	C₂²	C₂×#2358	1	1	yes	characteristic
888	C₂²	C₂×#2358	1	1	yes	characteristic
889	C₂²	C₄×D₄²	1	1	yes	characteristic
890	C₂²	C₄×D₄²	1	1	yes	characteristic
891	C₂²	C₄×D₄²	1	1	yes	characteristic
892	C₂²	#34171	1	1	yes	characteristic
893	C₂²	#34198	1	1	yes	characteristic
894	C₂²	#34198	1	1	yes	characteristic
895	C₂²	#34256	1	1	yes	characteristic
896	C₂²	#34256	1	1	yes	characteristic
897	C₂²	#34264	1	1	yes	characteristic
898	C₂²	#34273	1	1	yes	characteristic
899	C₂²	#34290	1	1	yes	characteristic
900	C₂²	#34290	1	1	yes	characteristic
901	C₂²	#34290	1	1	yes	characteristic
902	C₂²	#34290	1	1	yes	characteristic
903	C₂²	#34290	1	1	yes	characteristic
904	C₂²	#34290	1	1	yes	characteristic
905	C₂²	#34290	1	1	yes	characteristic
906	C₂²	#34310	1	1	yes	characteristic
907	C₂²	#34310	1	1	yes	characteristic
908	C₂²	#34310	1	1	yes	characteristic
909	C₂²	#34356	1	1	yes	characteristic
910	C₂²	#34408	1	1	yes	characteristic
911	C₂²	#34408	1	1	yes	characteristic
912	C₂²	#34468	1	1	yes	characteristic
913	C₂²	#34468	1	1	yes	characteristic
914	C₂²	#34471	1	1	yes	characteristic
915	C₂²	C₂×#2403	1	1	yes	characteristic
916	C₂²	C₂×#2418	1	1	yes	characteristic
917	C₂²	C₂×#2418	1	1	yes	characteristic
918	C₂²	C₂×#2424	1	1	yes	characteristic
919	C₂²	C₂×#2424	1	1	yes	characteristic
920	C₂²	C₂×#2408	1	1	yes	characteristic
921	C₂²	C₂×#2404	1	1	yes	characteristic
922	C₂²	C₂×#2534	1	1	yes	characteristic
923	C₂²	#35680	1	1	yes	characteristic
924	C₂²	#35680	1	1	yes	characteristic
925	C₂²	#35680	1	1	yes	characteristic
926	C₂²	#35680	1	1	yes	characteristic
927	C₂²	#35691	1	1	yes	characteristic
928	C₂²	#35691	1	1	yes	characteristic
929	C₂²	#35692	1	1	yes	characteristic
930	C₂²	#35692	1	1	yes	characteristic
931	C₂²	#35713	1	1	yes	characteristic
932	C₂²	#35713	1	1	yes	characteristic
933	C₂²	#35714	1	1	yes	characteristic
934	C₂²	#35714	1	1	yes	characteristic
935	C₂²	#35761	1	1	yes	characteristic
936	C₂²	#35761	1	1	yes	characteristic
937	C₂²	#35762	1	1	yes	characteristic
938	C₂²	#35762	1	1	yes	characteristic
939	C₂²	D₄×#120	1	1	yes	characteristic
940	C₂²	D₄×#120	1	1	yes	characteristic
941	C₂²	D₄×#121	1	1	yes	characteristic
942	C₂²	D₄×#121	1	1	yes	characteristic
943	C₂²	D₄×#123	1	1	yes	characteristic
944	C₂²	#36096	1	1	yes	characteristic
945	C₂²	#36096	1	1	yes	characteristic
946	C₂²	#36099	1	1	yes	characteristic
947	C₂²	#36212	1	1	yes	characteristic
948	C₂²	#36212	1	1	yes	characteristic
949	C₂²	#36214	1	1	yes	characteristic
950	C₂²	#36214	1	1	yes	characteristic
951	C₂²	#36220	1	1	yes	characteristic
952	C₂²	#36220	1	1	yes	characteristic
953	C₂²	#36236	1	1	yes	characteristic
954	C₂²	#36316	1	1	yes	characteristic
955	C₂²	#37672	1	1	yes	characteristic
956	C₂²	#37674	1	1	yes	characteristic
957	C₂²	#37716	1	1	yes	characteristic
958	C₂²	#37720	1	1	yes	characteristic
959	C₂²	#38420	1	1	yes	characteristic
960	C₂²	#38424	1	1	yes	characteristic
961	C₂²	#38564	1	1	yes	characteristic
962	C₂²	#38572	1	1	yes	characteristic
963	C₂²	#40584	1	1	yes	characteristic
964	C₂²	#40588	1	1	yes	characteristic
965	C₂²	#40590	1	1	yes	characteristic
966	C₂²	#40725	1	1	yes	characteristic
967	C₂²	#40728	1	1	yes	characteristic
968	C₂²	#40783	1	1	yes	characteristic
969	C₂²	#40808	1	1	yes	characteristic
970	C₂²	#41981	1	1	yes	characteristic
971	C₂²	#42996	1	1	yes	characteristic
972	C₂²	#42996	1	1	yes	characteristic
973	C₂²	#42996	1	1	yes	characteristic
974	C₂²	#42997	1	1	yes	characteristic
975	C₂²	#42997	1	1	yes	characteristic
976	C₂²	#42997	1	1	yes	characteristic
977	C₂²	#42998	1	1	yes	characteristic
978	C₂²	#43001	1	1	yes	characteristic
979	C₂²	#43001	1	1	yes	characteristic
980	C₂²	#43016	1	1	yes	characteristic
981	C₂²	#43016	1	1	yes	characteristic
982	C₂²	#43017	1	1	yes	characteristic
983	C₂²	#43017	1	1	yes	characteristic
984	C₂²	#43019	1	1	yes	characteristic
985	C₂²	#43023	1	1	yes	characteristic
986	C₂²	#43023	1	1	yes	characteristic
987	C₂²	#43050	1	1	yes	characteristic
988	C₂²	#43077	1	1	yes	characteristic
989	C₂²	#43094	1	1	yes	characteristic
990	C₂²	#43095	1	1	yes	characteristic
991	C₂²	#43095	1	1	yes	characteristic
992	C₂²	#43095	1	1	yes	characteristic
993	C₂²	#43095	1	1	yes	characteristic
994	C₂²	#43096	1	1	yes	characteristic
995	C₂²	#43098	1	1	yes	characteristic
996	C₂²	#43098	1	1	yes	characteristic
997	C₂²	#43197	1	1	yes	characteristic
998	C₂²	#43197	1	1	yes	characteristic
999	C₂²	#43886	1	1	yes	characteristic
1000	C₂²	#43932	1	1	yes	characteristic
1001	C₂²	#44001	1	1	yes	characteristic
1002	C₂²	#44001	1	1	yes	characteristic
1003	C₂²	#58990	1	1	yes	characteristic
1004	C₂²	#58990	1	1	yes	characteristic
1005	C₂²	#58990	1	1	yes	characteristic
1006	C₂²	#58991	1	1	yes	characteristic
1007	C₂²	#58991	1	1	yes	characteristic
1008	C₂²	#58991	1	1	yes	characteristic
1009	C₂²	#58991	1	1	yes	characteristic
1010	C₂²	#58991	1	1	yes	characteristic
1011	C₂²	#58994	1	1	yes	characteristic
1012	C₂²	#58994	1	1	yes	characteristic
1013	C₂²	#58997	1	1	yes	characteristic
1014	C₂²	#58997	1	1	yes	characteristic
1015	C₂²	#59006	1	1	yes	characteristic
1016	C₂²	#59006	1	1	yes	characteristic
1017	C₂²	#59011	1	1	yes	characteristic
1018	C₂²	#59011	1	1	yes	characteristic
1019	C₂²	#59089	1	1	yes	characteristic
1020	C₂²	#59123	1	1	yes	characteristic
1021	C₂²	#59123	1	1	yes	characteristic
1022	C₂²	#59123	1	1	yes	characteristic
1023	C₂²	#59123	1	1	yes	characteristic
1024	C₂²	#59123	1	1	yes	characteristic
1025	C₂²	#59123	1	1	yes	characteristic
1026	C₂²	#59126	1	1	yes	characteristic
1027	C₂²	#59162	1	1	yes	characteristic
1028	C₂²	#59267	1	1	yes	characteristic
1029	C₂²	#59800	1	1	yes	characteristic
1030	C₂²	#59800	1	1	yes	characteristic
1031	C₂²	#59802	1	1	yes	characteristic
1032	C₂²	#59803	1	1	yes	characteristic
1033	C₂²	#59814	1	1	yes	characteristic
1034	C₂²	#59940	1	1	yes	characteristic
1035	C₂	C₂×#13967	1	1	yes	characteristic
1036	C₂	#518019	1	1	yes	characteristic
1037	C₂	#518030	1	1	yes	characteristic
1038	C₂	D₄×#386	1	1	yes	characteristic
1039	C₂	#519563	1	1	yes	characteristic
1040	C₂	#525951	1	1	yes	characteristic
1041	C₂	#531607	1	1	yes	characteristic
1042	C₂	#532452	1	1	yes	characteristic
1043	C₂	#533370	1	1	yes	characteristic
1044	C₂	#534306	1	1	yes	characteristic
1045	C₂	#535282	1	1	yes	characteristic
1046	C₂	#536667	1	1	yes	characteristic
1047	C₂	#538038	1	1	yes	characteristic
1048	C₂	#538974	1	1	yes	characteristic
1049	C₂	#546334	1	1	yes	characteristic
1050	C₂	#772778	1	1	yes	characteristic
1051	C₂	#772780	1	1	yes	characteristic
1052	C₂	#772818	1	1	yes	characteristic
1053	C₂	#772820	1	1	yes	characteristic
1054	C₂	#773762	1	1	yes	characteristic
1055	C₂	#773764	1	1	yes	characteristic
1056	C₂	#773798	1	1	yes	characteristic
1057	C₂	#773800	1	1	yes	characteristic
1058	C₂	#773894	1	1	yes	characteristic
1059	C₂	#773900	1	1	yes	characteristic
1060	C₂	#775090	1	1	yes	characteristic
1061	C₂	#775096	1	1	yes	characteristic
1062	C₂	#777314	1	1	yes	characteristic
1063	C₂	#777316	1	1	yes	characteristic
1064	C₂	#790126	1	1	yes	characteristic
1065	C₂	#790128	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, socle, cosocle	C₂⁵	C₂⁵
commutator	C₂⁴	C₂⁴×C₄
prime radical	C₂²×#2403	C₂
LCS	G ▷ C₂⁴ ▷ 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. C₂²×#2358	C₂	semidirect
3. C₂²×D₄×C₂²⋊C₄	C₂	semidirect
4. C₂×#14134	C₂	semidirect
5. C₂×#13967	C₂	semidirect
6. C₂×#13967	C₂	semidirect
7. C₂×#13867	C₂	semidirect
8. C₂×#13867	C₂	semidirect
9. C₂²×#1438	C₂	semidirect
10. #155877	C₂	semidirect
11. #155875	C₂	semidirect
12. #155258	C₂	semidirect
13. #155116	C₂	semidirect
14. #155066	C₂	semidirect
15. #155065	C₂	semidirect
16. #154737	C₂	semidirect
17. #154684	C₂	semidirect
18. #154671	C₂	semidirect
19. #154670	C₂	semidirect
20. #154635	C₂	semidirect
21. #154634	C₂	semidirect
22. #154208	C₂	semidirect
23. #154199	C₂	semidirect
24. #154195	C₂	semidirect
25. #154195	C₂	semidirect
26. #154194	C₂	semidirect
27. #153827	C₂	semidirect
28. #153827	C₂	semidirect
29. #153793	C₂	semidirect
30. #153775	C₂	semidirect
31. #153749	C₂	semidirect
40. C₂³×C₄×D₄	C₂²	semidirect
43. C₂⁴×C₂²⋊C₄	C₂²	semidirect
44. C₂⁴×C₂²⋊C₄	C₂²	semidirect
45. C₂⁴×C₂²⋊C₄	C₂²	semidirect
46. C₂⁴×C₂²⋊C₄	C₂²	semidirect
47. C₂×#2403	C₄	semidirect
52. C₂²×#390	C₂²	semidirect
53. C₂²×#390	C₂²	semidirect
54. C₂²×#390	C₂²	semidirect
55. C₂²×#388	C₂²	semidirect
56. C₂²×#388	C₂²	semidirect
69. C₂²×#386	C₂²	semidirect
70. C₂²×#386	C₂²	semidirect
71. C₂²×#386	C₂²	semidirect
72. C₂²×#386	C₂²	semidirect
73. C₂²×#386	C₂²	semidirect
74. C₂²×#386	C₂²	semidirect
75. C₂²×#386	C₂²	semidirect
76. C₂²×#386	C₂²	semidirect
77. C₂²×#386	C₂²	semidirect
78. C₂²×#386	C₂²	semidirect
79. C₂²×#385	C₂²	semidirect
80. C₂²×#385	C₂²	semidirect
81. C₂²×#380	C₂²	semidirect
85. C₂²×#379	C₂²	semidirect
86. C₂²×#379	C₂²	semidirect
87. C₂²×#379	C₂²	semidirect
88. C₂²×#379	C₂²	semidirect
89. C₂²×C₄×C₂²⋊C₄	C₂²	semidirect
90. C₂²×C₄×C₂²⋊C₄	C₂²	semidirect
91. C₂²×C₄×C₂²⋊C₄	C₂²	semidirect
92. C₂³×#95	C₂²	semidirect
93. C₂³×#95	C₂²	semidirect
94. C₂×#1440	C₂²	semidirect
95. C₂×#1440	C₂²	semidirect
96. C₂×#1439	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
110. C₂×#1438	C₂²	semidirect
111. C₂×#1438	C₂²	semidirect
112. C₂×#1438	C₂²	semidirect
113. C₂×#1438	C₂²	semidirect
114. C₂×#1438	C₂²	semidirect
115. C₂×#1438	C₂²	semidirect
116. C₂×#1438	C₂²	semidirect
117. C₂×#1438	C₂²	semidirect
118. C₂×#1438	C₂²	semidirect
119. C₂×#1438	C₂²	semidirect
120. C₂×#1438	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×#1437	C₂²	semidirect
129. C₂×#1437	C₂²	semidirect
130. C₂×#1437	C₂²	semidirect
131. C₂×#1437	C₂²	semidirect
132. C₂×#1437	C₂²	semidirect
133. C₂×#1437	C₂²	semidirect
134. C₂×#1437	C₂²	semidirect
135. C₂×#1437	C₂²	semidirect
136. C₂×C₂²⋊#95	C₂²	semidirect
137. C₂×C₂²⋊#95	C₂²	semidirect
138. C₂×C₂²⋊#95	C₂²	semidirect
139. C₂×C₂²⋊#95	C₂²	semidirect
140. C₂×C₂²⋊#95	C₂²	semidirect
141. C₂×C₂²⋊#95	C₂²	semidirect
142. C₂×C₂²⋊#95	C₂²	semidirect
143. C₂×C₂²⋊#95	C₂²	semidirect
144. C₂×C₂²⋊#95	C₂²	semidirect
145. C₂×C₂²⋊#95	C₂²	semidirect
146. C₂×C₂²⋊#95	C₂²	semidirect
147. C₂×C₂²⋊#95	C₂²	semidirect
148. C₂×C₂²⋊#95	C₂²	semidirect
149. C₂×C₂²⋊#95	C₂²	semidirect
150. C₂×C₂²⋊#95	C₂²	semidirect
151. C₂×C₂²⋊#95	C₂²	semidirect
152. #7557	C₂²	semidirect
153. #7557	C₂²	semidirect
154. #7557	C₂²	semidirect
155. #7557	C₂²	semidirect
156. #7557	C₂²	semidirect
157. #7557	C₂²	semidirect
158. #7556	C₂²	semidirect
159. #7556	C₂²	semidirect
160. #7556	C₂²	semidirect
161. #7556	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. #7554	C₂²	semidirect
183. #7554	C₂²	semidirect
184. #7554	C₂²	semidirect
185. #7554	C₂²	semidirect
186. #7554	C₂²	semidirect
187. #7554	C₂²	semidirect
191. C₂⁴×D₄	C₂×C₄	semidirect
192. C₂⁴×D₄	C₂×C₄	semidirect
216. C₂²×#120	C₂×C₄	semidirect
217. C₂²×#120	C₂×C₄	semidirect
218. C₂²×#120	C₂×C₄	semidirect
221. C₂²×C₄×D₄	D₄	semidirect
292. C₂×#392	C₂×C₄	semidirect
293. C₂×#392	C₂×C₄	semidirect
294. C₂×#392	C₂×C₄	semidirect
295. C₂×#392	C₂×C₄	semidirect
296. C₂×#386	C₂×C₄	semidirect
297. C₂×#386	C₂×C₄	semidirect
298. C₂×#386	C₂×C₄	semidirect
299. C₂×#386	C₂×C₄	semidirect
300. C₂×#386	D₄	semidirect
301. C₂×#386	D₄	semidirect
302. C₂×#379	C₂×C₄	semidirect
303. C₂×#379	D₄	semidirect
364. #1438	D₄	semidirect
410. C₂⁴×C₄	C₂×D₄	semidirect
435. C₂×#120	C₂²⋊C₄	semidirect
436. C₂²×C₄⋊C₄	C₂×D₄	semidirect
468. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
469. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
470. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
471. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
472. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
473. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
474. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
475. C₂²×C₄²	C₂×D₄	semidirect
480. C₂×#95	C₂×D₄	semidirect
481. C₂×#95	C₂×D₄	semidirect
482. C₂×#95	C₂×D₄	semidirect
483. C₂×#95	C₂×D₄	semidirect
484. C₂×#95	C₂×D₄	semidirect
485. C₂×#95	C₂×D₄	semidirect
486. C₂⁵	C₂×C₂²⋊C₄	semidirect
487. C₂⁵	C₄×D₄	semidirect
535. C₂²×D₄	C₂×C₂²⋊C₄	semidirect
536. C₂²×D₄	C₂×C₂²⋊C₄	semidirect
539. C₂²×D₄	C₄×D₄	semidirect
540. C₂²×D₄	C₄×D₄	semidirect
593. C₂×C₂²⋊C₄	C₂×C₂²⋊C₄	semidirect
594. C₂×C₂²⋊C₄	C₂×C₂²⋊C₄	semidirect
595. C₂×C₂²⋊C₄	C₂×C₂²⋊C₄	semidirect
596. C₂×C₂²⋊C₄	#120	semidirect
687. C₂×D₄	#386	semidirect
711. C₂³	D₄×C₂²⋊C₄	semidirect
714. C₂³	#2358	semidirect
879. C₂²	#13967	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#2403	2
C₂²×#2358	2
C₂²×D₄×C₂²⋊C₄	2
C₂×#14134	2
C₂×#13967	2
C₂×#13867	2
C₂²×#1438	2
#155877	2
#155875	2
#155258	2
#155116	2
#155066	2
#155065	2
#154737	2
#154684	2
#154671	2
#154670	2
#154635	2
#154634	2
#154208	2
#154199	2
#154195	2
#154194	2
#153827	2
#153793	2
#153775	2
#153749	2