Subgroups — #72335052

Order 2048.

At least 8025 conjugacy classes of subgroups; only the 8896 normal subgroups are shown.

The subgroup lattice has 1042 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72335030	C₂	1	1	yes	maximal, characteristic, complemented
2	#72335029	C₂	1	1	yes	maximal, characteristic, complemented
3	#72334994	C₂	1	2	yes	maximal, complemented
4	#72334991	C₂	1	4	yes	maximal, complemented
5	#72334396	C₂	1	2	yes	maximal, complemented
6	#72334390	C₂	1	2	yes	maximal, complemented
7	#72330008	C₂	1	8	yes	maximal, complemented
8	#72317008	C₂	1	4	yes	maximal, complemented
9	#72317006	C₂	1	4	yes	maximal, complemented
10	C₂×#640968	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#516725	C₂	1	1	yes	maximal, characteristic, complemented
12	#72296143	C₂	1	1	yes	maximal, characteristic, complemented
13	#72287879	C₂	1	2	yes	maximal, complemented
14	#72286421	C₂	1	4	yes	maximal, complemented
15	#72250308	C₂	1	2	yes	maximal, complemented
16	#72250292	C₂	1	8	yes	maximal, complemented
17	C₂²×#14715	C₂	1	1	yes	maximal, characteristic, complemented
18	#72240113	C₂	1	2	yes	maximal, complemented
19	#72236727	C₂	1	2	yes	maximal, complemented
20	C₂×#719096	C₂	1	4	yes	maximal, complemented
21	#72233926	C₂	1	4	yes	maximal, complemented
22	C₂×#612424	C₂	1	2	yes	maximal, complemented
23	C₂⁴×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁶×D₄	C₂²	1	2	yes	—
25	C₂⁶×D₄	C₂²	1	1	yes	characteristic
26	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂³×D₄²	C₂²	1	4	yes	—
28	C₂³×D₄²	C₂²	1	4	yes	—
29	C₂³×D₄²	C₂²	1	4	yes	complemented
30	C₂³×D₄²	C₂²	1	4	yes	complemented
31	C₂⁴×#127	C₂²	1	1	yes	characteristic, complemented
32	C₂⁴×#121	C₂²	1	1	yes	characteristic
33	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
34	C₂⁴×#121	C₂²	1	2	yes	complemented
35	C₂⁴×#120	C₂²	1	2	yes	—
36	C₂⁴×#120	C₂²	1	2	yes	complemented
37	C₂⁴×#120	C₂²	1	2	yes	complemented
38	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#2846	C₂²	1	4	yes	complemented
41	C₂²×#2403	C₂²	1	1	yes	characteristic
42	C₂²×#2403	C₂²	1	2	yes	complemented
43	C₂²×#2403	C₂²	1	8	yes	complemented
44	C₂²×#2617	C₂²	1	2	yes	complemented
45	C₂³×#392	C₂²	1	2	yes	complemented
46	C₂³×#392	C₂²	1	2	yes	complemented
47	C₂²×#2321	C₂²	1	2	yes	complemented
48	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
49	C₂³×#379	C₂²	1	2	yes	complemented
50	C₂×#16502	C₂²	1	8	yes	complemented
51	C₂×#16500	C₂²	1	8	yes	complemented
52	C₂×#16500	C₂²	1	4	yes	complemented
53	C₂×#16260	C₂²	1	4	yes	complemented
54	C₂×#15320	C₂²	1	16	yes	complemented
55	C₂×#15267	C₂²	1	16	yes	complemented
56	C₂×#14913	C₂²	1	2	yes	complemented
57	C₂×#14795	C₂²	1	8	yes	complemented
58	C₂×#14776	C₂²	1	2	yes	complemented
59	C₂×#14725	C₂²	1	4	yes	complemented
60	C₂×#14724	C₂²	1	4	yes	complemented
61	C₂×#14718	C₂²	1	8	yes	complemented
62	C₂×#14716	C₂²	1	2	yes	complemented
63	C₂×#14715	C₂²	1	2	yes	—
64	C₂×#14715	C₂²	1	4	yes	complemented
65	C₂×#14715	C₂²	1	4	yes	complemented
66	C₂×#14715	C₂²	1	16	yes	complemented
67	C₂×#14715	C₂²	1	8	yes	complemented
68	C₂×#14715	C₂²	1	8	yes	complemented
69	C₂×#14715	C₂²	1	2	yes	complemented
70	C₂×#14715	C₂²	1	4	yes	complemented
71	C₂×#14715	C₂²	1	4	yes	complemented
72	C₂×#14715	C₂²	1	4	yes	complemented
73	C₂×#14715	C₂²	1	2	yes	complemented
74	C₂×#14715	C₂²	1	4	yes	complemented
75	C₂×#14715	C₂²	1	4	yes	complemented
76	C₂×#14715	C₂²	1	8	yes	complemented
77	C₂×#14696	C₂²	1	2	yes	complemented
78	C₂×#14694	C₂²	1	4	yes	complemented
79	C₂×#14694	C₂²	1	2	yes	complemented
80	C₂×#14680	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14679	C₂²	1	2	yes	complemented
82	C₂×#14679	C₂²	1	2	yes	complemented
83	C₂×#14679	C₂²	1	4	yes	complemented
84	C₂×#14299	C₂²	1	4	yes	complemented
85	C₂×#14271	C₂²	1	2	yes	complemented
86	C₂×#14187	C₂²	1	4	yes	complemented
87	C₂×#14152	C₂²	1	4	yes	complemented
88	C₂×#14127	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14019	C₂²	1	2	yes	complemented
90	C₂×#14016	C₂²	1	2	yes	complemented
91	C₂×#13995	C₂²	1	2	yes	complemented
92	C₂×#13967	C₂²	1	2	yes	complemented
93	C₂×#13960	C₂²	1	4	yes	complemented
94	C₂×#13902	C₂²	1	4	yes	complemented
95	C₂×#13902	C₂²	1	4	yes	complemented
96	C₂×#13902	C₂²	1	4	yes	complemented
97	C₂×#13867	C₂²	1	1	yes	characteristic
98	C₂×#13867	C₂²	1	2	yes	—
99	C₂×#13867	C₂²	1	2	yes	complemented
100	C₂×#13867	C₂²	1	2	yes	complemented
101	C₂×#13867	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13867	C₂²	1	8	yes	complemented
103	C₂×#13867	C₂²	1	8	yes	complemented
104	C₂×#13867	C₂²	1	2	yes	complemented
105	C₂×#13867	C₂²	1	8	yes	complemented
106	C₂²×#1438	C₂²	1	2	yes	complemented
107	C₂²×#1438	C₂²	1	2	yes	complemented
108	C₂×#13784	C₂²	1	2	yes	complemented
109	C₂×C₄×#379	C₂²	1	1	yes	characteristic, complemented
110	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
111	#158327	C₂²	1	8	yes	complemented
112	#158314	C₂²	1	8	yes	complemented
113	#156854	C₂²	1	8	yes	complemented
114	#156854	C₂²	1	16	yes	complemented
115	#156706	C₂²	1	8	yes	complemented
116	#156706	C₂²	1	16	yes	complemented
117	#156688	C₂²	1	16	yes	complemented
118	#156688	C₂²	1	16	yes	complemented
119	#156684	C₂²	1	16	yes	complemented
120	#156684	C₂²	1	16	yes	complemented
121	#155653	C₂²	1	8	yes	complemented
122	#155652	C₂²	1	8	yes	complemented
123	#155652	C₂²	1	4	yes	complemented
124	#154729	C₂²	1	16	yes	complemented
125	#154671	C₂²	1	16	yes	complemented
126	#154634	C₂²	1	8	yes	complemented
127	#154467	C₂²	1	8	yes	complemented
128	#154320	C₂²	1	4	yes	complemented
129	#154255	C₂²	1	4	yes	complemented
130	#154200	C₂²	1	4	yes	complemented
131	#154195	C₂²	1	4	yes	complemented
132	#154195	C₂²	1	4	yes	complemented
133	#154195	C₂²	1	8	yes	complemented
134	#154195	C₂²	1	8	yes	complemented
135	#154194	C₂²	1	4	yes	complemented
136	#154177	C₂²	1	4	yes	complemented
137	#154115	C₂²	1	8	yes	complemented
138	#154110	C₂²	1	2	yes	complemented
139	#154099	C₂²	1	4	yes	complemented
140	#154097	C₂²	1	2	yes	complemented
141	#154095	C₂²	1	2	yes	complemented
142	#154094	C₂²	1	2	yes	complemented
143	#154094	C₂²	1	8	yes	complemented
144	#154094	C₂²	1	16	yes	complemented
145	#154094	C₂²	1	4	yes	complemented
146	#154094	C₂²	1	8	yes	complemented
147	#154094	C₂²	1	4	yes	complemented
148	#154094	C₂²	1	2	yes	complemented
149	#154094	C₂²	1	4	yes	complemented
150	#154094	C₂²	1	4	yes	complemented
151	#154094	C₂²	1	4	yes	complemented
152	#154094	C₂²	1	2	yes	complemented
153	#154078	C₂²	1	2	yes	complemented
154	#154077	C₂²	1	4	yes	complemented
155	#154077	C₂²	1	2	yes	complemented
156	#153851	C₂²	1	2	yes	complemented
157	#153827	C₂²	1	4	yes	complemented
158	#153749	C₂²	1	4	yes	complemented
159	C₂⁸	C₂³	1	2	yes	—
160	C₂⁸	C₂³	1	2	yes	—
161	C₂⁵×D₄	D₄	1	16	yes	complemented
162	C₂⁵×D₄	C₂³	1	1	yes	characteristic
163	C₂⁵×D₄	C₂³	1	1	yes	characteristic
164	C₂⁵×D₄	C₂³	1	2	yes	—
165	C₂⁵×D₄	C₂³	1	8	yes	—
166	C₂⁵×D₄	C₂³	1	2	yes	—
167	C₂⁵×D₄	C₂³	1	2	yes	—
168	C₂⁵×D₄	C₂³	1	2	yes	—
169	C₂⁵×D₄	C₂³	1	4	yes	—
170	C₂⁵×D₄	C₂³	1	8	yes	—
171	C₂⁵×D₄	C₂³	1	2	yes	—
172	C₂⁵×D₄	C₂³	1	2	yes	—
173	C₂⁵×D₄	C₂³	1	2	yes	—
174	C₂⁵×D₄	C₂³	1	2	yes	—
175	C₂⁵×D₄	C₂³	1	1	yes	characteristic
176	C₂⁵×D₄	C₂³	1	2	yes	—
177	C₂⁵×D₄	C₂³	1	1	yes	characteristic
178	C₂⁵×D₄	C₂³	1	1	yes	characteristic
179	C₂⁵×D₄	C₂³	1	4	yes	—
180	C₂⁵×D₄	C₂³	1	2	yes	—
181	C₂⁵×D₄	C₂³	1	4	yes	complemented
182	C₂⁶×C₄	C₂³	1	2	yes	—
183	C₂⁶×C₄	C₂³	1	1	yes	characteristic
184	C₂⁶×C₄	C₂³	1	1	yes	characteristic
185	C₂²×D₄²	D₄	1	64	yes	complemented
186	C₂³×#127	C₂³	1	4	yes	—
187	C₂³×#127	C₂³	1	4	yes	—
188	C₂³×#121	D₄	1	16	yes	complemented
189	C₂³×#121	C₂³	1	4	yes	—
190	C₂³×#121	C₂³	1	8	yes	—
191	C₂³×#121	C₂³	1	2	yes	—
192	C₂³×#121	C₂³	1	2	yes	—
193	C₂³×#121	C₂³	1	4	yes	—
194	C₂³×#121	C₂³	1	2	yes	—
195	C₂³×#121	C₂³	1	8	yes	—
196	C₂³×#121	C₂³	1	2	yes	—
197	C₂³×#120	C₂³	1	8	yes	—
198	C₂³×#120	C₂³	1	8	yes	—
199	C₂³×#120	C₂³	1	8	yes	—
200	C₂³×#120	C₂³	1	8	yes	—
201	C₂³×#120	C₂³	1	2	yes	—
202	C₂³×#120	C₂³	1	4	yes	—
203	C₂³×#120	C₂³	1	4	yes	—
204	C₂³×#120	C₂³	1	4	yes	—
205	C₂³×#120	C₂³	1	2	yes	—
206	C₂³×#120	C₂³	1	4	yes	complemented
207	C₂³×#120	C₂³	1	8	yes	complemented
208	C₂³×#120	C₂³	1	16	yes	complemented
209	C₂³×C₄×D₄	D₄	1	16	yes	complemented
210	C₂³×C₄×D₄	C₂³	1	4	yes	—
211	C₂³×C₄×D₄	C₂³	1	2	yes	—
212	C₂³×C₄×D₄	C₂³	1	4	yes	—
213	C₂³×C₄×D₄	C₂³	1	2	yes	—
214	C₂³×C₄×D₄	C₂³	1	2	yes	—
215	C₂³×C₄×D₄	C₂³	1	2	yes	—
216	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
226	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
227	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
228	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
229	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
230	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
231	C₂×#2403	D₄	1	16	yes	complemented
232	C₂²×#397	C₂³	1	4	yes	complemented
233	C₂²×#394	C₂³	1	8	yes	complemented
234	C₂²×#394	C₂³	1	16	yes	complemented
235	C₂²×#392	C₂³	1	4	yes	—
236	C₂²×#392	C₂³	1	4	yes	—
237	C₂²×#392	C₂³	1	4	yes	—
238	C₂²×#392	C₂³	1	8	yes	complemented
239	C₂²×#392	C₂³	1	4	yes	complemented
240	C₂²×#392	C₂³	1	4	yes	complemented
241	C₂²×#392	C₂³	1	8	yes	complemented
242	C₂²×#392	C₂³	1	16	yes	complemented
243	C₂²×#392	C₂³	1	16	yes	complemented
244	C₂²×#392	C₂³	1	8	yes	complemented
245	C₂²×#392	C₂³	1	16	yes	complemented
246	C₂²×#392	C₂³	1	4	yes	complemented
247	C₂²×#392	C₂³	1	4	yes	complemented
248	C₂²×#392	C₂³	1	16	yes	complemented
249	C₂²×#390	C₂³	1	4	yes	complemented
250	C₂²×#390	C₂³	1	16	yes	complemented
251	C₂²×#388	C₂³	1	4	yes	complemented
252	C₂²×#388	C₂³	1	4	yes	complemented
253	C₂²×#386	C₂³	1	2	yes	—
254	C₂²×#386	C₂³	1	2	yes	—
255	C₂²×#386	C₂³	1	2	yes	—
256	C₂²×#386	C₂³	1	8	yes	—
257	C₂²×#386	C₂³	1	2	yes	—
258	C₂²×#386	C₂³	1	4	yes	—
259	C₂²×#386	C₂³	1	2	yes	—
260	C₂²×#386	C₂³	1	2	yes	—
261	C₂²×#386	C₂³	1	2	yes	—
262	C₂²×#386	C₂³	1	2	yes	—
263	C₂²×#386	C₂³	1	2	yes	complemented
264	C₂²×#386	C₂³	1	2	yes	complemented
265	C₂²×#386	C₂³	1	4	yes	complemented
266	C₂²×#386	C₂³	1	4	yes	complemented
267	C₂²×#386	C₂³	1	16	yes	complemented
268	C₂²×#386	C₂³	1	8	yes	complemented
269	C₂²×#386	C₂³	1	4	yes	complemented
270	C₂²×#386	C₂³	1	4	yes	complemented
271	C₂²×#386	C₂³	1	8	yes	complemented
272	C₂²×#386	C₂³	1	4	yes	complemented
273	C₂²×#385	C₂³	1	2	yes	—
274	C₂²×#385	C₂³	1	2	yes	complemented
275	C₂²×#380	C₂³	1	2	yes	—
276	C₂²×#380	C₂³	1	2	yes	complemented
277	C₂²×#380	C₂³	1	2	yes	complemented
278	C₂²×#379	C₂³	1	2	yes	—
279	C₂²×#379	C₂³	1	1	yes	characteristic
280	C₂²×#379	C₂³	1	4	yes	—
281	C₂²×#379	C₂³	1	4	yes	—
282	C₂²×#379	C₂³	1	4	yes	—
283	C₂²×#379	C₂³	1	4	yes	—
284	C₂²×#379	C₂³	1	4	yes	—
285	C₂²×#379	C₂³	1	1	yes	characteristic
286	C₂²×#379	C₂³	1	4	yes	—
287	C₂²×#379	C₂³	1	4	yes	—
288	C₂²×#379	C₂³	1	2	yes	—
289	C₂²×#379	C₂³	1	4	yes	—
290	C₂²×#379	C₂³	1	4	yes	—
291	C₂²×#379	C₂³	1	4	yes	—
292	C₂²×#379	C₂³	1	2	yes	complemented
293	C₂²×#379	C₂³	1	8	yes	complemented
294	C₂²×#379	C₂³	1	8	yes	complemented
295	C₂²×#379	C₂³	1	16	yes	complemented
296	C₂²×#379	C₂³	1	8	yes	complemented
297	C₂²×#379	C₂³	1	8	yes	complemented
298	C₂²×#379	C₂³	1	16	yes	complemented
299	C₂²×#379	C₂³	1	16	yes	complemented
300	C₂²×#379	C₂³	1	8	yes	complemented
301	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
302	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
303	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
304	C₂³×#95	C₂³	1	1	yes	characteristic, complemented
305	C₂³×#95	C₂³	1	1	yes	characteristic, complemented
306	C₂³×#95	C₂³	1	2	yes	complemented
307	C₂³×#95	C₂³	1	2	yes	complemented
308	C₂×#1445	C₂³	1	4	yes	complemented
309	C₂×#1445	C₂³	1	8	yes	complemented
310	C₂×#1442	C₂³	1	4	yes	complemented
311	C₂×#1442	C₂³	1	4	yes	complemented
312	C₂×#1441	C₂³	1	8	yes	complemented
313	C₂×#1440	C₂³	1	8	yes	complemented
314	C₂×#1440	C₂³	1	16	yes	complemented
315	C₂×#1439	C₂³	1	4	yes	complemented
316	C₂×#1439	C₂³	1	4	yes	complemented
317	C₂×#1439	C₂³	1	4	yes	complemented
318	C₂×#1439	C₂³	1	16	yes	complemented
319	C₂×#1439	C₂³	1	4	yes	complemented
320	C₂×#1439	C₂³	1	8	yes	complemented
321	C₂×#1439	C₂³	1	8	yes	complemented
322	C₂×#1438	C₂³	1	4	yes	—
323	C₂×#1438	C₂³	1	8	yes	—
324	C₂×#1438	C₂³	1	8	yes	—
325	C₂×#1438	C₂³	1	4	yes	—
326	C₂×#1438	C₂³	1	8	yes	—
327	C₂×#1438	C₂³	1	4	yes	—
328	C₂×#1438	C₂³	1	4	yes	complemented
329	C₂×#1438	C₂³	1	8	yes	complemented
330	C₂×#1438	C₂³	1	8	yes	complemented
331	C₂×#1438	C₂³	1	8	yes	complemented
332	C₂×#1438	C₂³	1	16	yes	complemented
333	C₂×#1438	C₂³	1	4	yes	complemented
334	C₂×#1438	C₂³	1	16	yes	complemented
335	C₂×#1438	C₂³	1	16	yes	complemented
336	C₂×#1438	C₂³	1	4	yes	complemented
337	C₂×#1438	C₂³	1	4	yes	complemented
338	C₂×#1438	C₂³	1	8	yes	complemented
339	C₂×#1438	C₂³	1	16	yes	complemented
340	C₂×#1438	C₂³	1	8	yes	complemented
341	C₂×#1438	C₂³	1	8	yes	complemented
342	C₂×#1438	C₂³	1	16	yes	complemented
343	C₂×#1438	C₂³	1	16	yes	complemented
344	C₂×#1438	C₂³	1	8	yes	complemented
345	C₂×#1438	C₂³	1	16	yes	complemented
346	C₂×#1438	C₂³	1	4	yes	complemented
347	C₂×#1438	C₂³	1	4	yes	complemented
348	C₂×#1438	C₂³	1	8	yes	complemented
349	C₂×#1438	C₂³	1	16	yes	complemented
350	C₂×#1438	C₂³	1	16	yes	complemented
351	C₂×#1438	C₂³	1	16	yes	complemented
352	C₂×#1438	C₂³	1	16	yes	complemented
353	C₂×#1438	C₂³	1	16	yes	complemented
354	C₂×#1438	C₂³	1	16	yes	complemented
355	C₂×#1438	C₂³	1	16	yes	complemented
356	C₂×#1438	C₂³	1	8	yes	complemented
357	C₂×#1438	C₂³	1	8	yes	complemented
358	C₂×#1437	C₂³	1	4	yes	complemented
359	C₂×#1437	C₂³	1	16	yes	complemented
360	C₂×#1437	C₂³	1	4	yes	complemented
361	C₂×#1436	C₂³	1	4	yes	complemented
362	C₂×#1436	C₂³	1	4	yes	complemented
363	C₂×#1434	C₂³	1	4	yes	complemented
364	C₂×#1434	C₂³	1	8	yes	complemented
365	C₂×C₂²⋊#95	C₂³	1	2	yes	—
366	C₂×C₂²⋊#95	C₂³	1	2	yes	—
367	C₂×C₂²⋊#95	C₂³	1	2	yes	—
368	C₂×C₂²⋊#95	C₂³	1	2	yes	—
369	C₂×C₂²⋊#95	C₂³	1	2	yes	—
370	C₂×C₂²⋊#95	C₂³	1	2	yes	—
371	C₂×C₂²⋊#95	C₂³	1	4	yes	—
372	C₂×C₂²⋊#95	C₂³	1	4	yes	—
373	C₂×C₂²⋊#95	C₂³	1	4	yes	—
374	C₂×C₂²⋊#95	C₂³	1	4	yes	—
375	C₂×C₂²⋊#95	C₂³	1	4	yes	—
376	C₂×C₂²⋊#95	C₂³	1	4	yes	—
377	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
378	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
379	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
380	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
381	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
382	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
383	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
384	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
385	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
386	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
387	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
388	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
389	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
390	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
391	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
392	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
393	#7557	C₂³	1	8	yes	complemented
394	#7557	C₂³	1	8	yes	complemented
395	#7555	C₂³	1	16	yes	complemented
396	#7555	C₂³	1	16	yes	complemented
397	#7555	C₂³	1	16	yes	complemented
398	#7555	C₂³	1	16	yes	complemented
399	#7555	C₂³	1	16	yes	complemented
400	#7555	C₂³	1	8	yes	complemented
401	#7555	C₂³	1	8	yes	complemented
402	#7554	C₂³	1	8	yes	complemented
403	C₂⁷	C₂×D₄	1	16	yes	—
404	C₂⁷	C₂⁴	1	1	yes	characteristic
405	C₂⁷	C₂⁴	1	2	yes	—
406	C₂⁷	C₂⁴	1	2	yes	—
407	C₂⁷	C₂⁴	1	2	yes	—
408	C₂⁷	C₂⁴	1	4	yes	—
409	C₂⁷	C₂⁴	1	1	yes	characteristic
410	C₂⁷	C₂⁴	1	8	yes	—
411	C₂⁷	C₂⁴	1	4	yes	—
412	C₂⁷	C₂⁴	1	1	yes	characteristic
413	C₂⁴×D₄	C₂×D₄	1	8	yes	—
414	C₂⁴×D₄	C₂×D₄	1	8	yes	—
415	C₂⁴×D₄	C₂×D₄	1	8	yes	—
416	C₂⁴×D₄	C₂×D₄	1	16	yes	—
417	C₂⁴×D₄	C₂×D₄	1	64	yes	—
418	C₂⁴×D₄	C₂×D₄	1	16	yes	—
419	C₂⁴×D₄	C₂×D₄	1	16	yes	—
420	C₂⁴×D₄	C₂×D₄	1	16	yes	—
421	C₂⁴×D₄	C₂×D₄	1	8	yes	—
422	C₂⁴×D₄	C₂×D₄	1	16	yes	—
423	C₂⁴×D₄	C₂×D₄	1	16	yes	—
424	C₂⁴×D₄	C₂×D₄	1	32	yes	—
425	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
426	C₂⁴×D₄	C₂×D₄	1	32	yes	complemented
427	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
428	C₂⁴×D₄	#41	1	8	yes	—
429	C₂⁴×D₄	C₂⁴	1	2	yes	—
430	C₂⁴×D₄	C₂⁴	1	2	yes	—
431	C₂⁴×D₄	C₂⁴	1	4	yes	—
432	C₂⁴×D₄	C₂⁴	1	2	yes	—
433	C₂⁴×D₄	C₂⁴	1	2	yes	—
434	C₂⁴×D₄	C₂⁴	1	4	yes	—
435	C₂⁴×D₄	C₂⁴	1	8	yes	—
436	C₂⁴×D₄	C₂⁴	1	4	yes	—
437	C₂⁴×D₄	C₂⁴	1	8	yes	—
438	C₂⁴×D₄	C₂⁴	1	8	yes	—
439	C₂⁴×D₄	C₂⁴	1	2	yes	—
440	C₂⁴×D₄	C₂⁴	1	2	yes	—
441	C₂⁴×D₄	C₂⁴	1	8	yes	—
442	C₂⁴×D₄	C₂⁴	1	4	yes	—
443	C₂⁴×D₄	C₂⁴	1	2	yes	—
444	C₂⁴×D₄	C₂⁴	1	8	yes	—
445	C₂⁴×D₄	C₂⁴	1	2	yes	—
446	C₂⁴×D₄	C₂⁴	1	4	yes	—
447	C₂⁴×D₄	C₂⁴	1	8	yes	—
448	C₂⁴×D₄	C₂⁴	1	8	yes	—
449	C₂⁴×D₄	C₂⁴	1	2	yes	—
450	C₂⁴×D₄	C₂⁴	1	2	yes	—
451	C₂⁵×C₄	C₂×D₄	1	8	yes	—
452	C₂⁵×C₄	C₂×D₄	1	8	yes	—
453	C₂⁵×C₄	C₂×D₄	1	8	yes	—
454	C₂⁵×C₄	C₂×D₄	1	8	yes	complemented
455	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
456	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
457	C₂⁵×C₄	C₂⁴	1	2	yes	—
458	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
459	C₂⁵×C₄	C₂⁴	1	8	yes	—
460	C₂⁵×C₄	C₂⁴	1	2	yes	—
461	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
462	C₂⁵×C₄	C₂⁴	1	4	yes	—
463	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
464	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
465	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
466	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
467	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
468	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
469	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
470	C₂⁵×C₄	C₂⁴	1	2	yes	—
471	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
472	C₂²×#127	C₂×D₄	1	32	yes	complemented
473	C₂²×#121	C₂×D₄	1	16	yes	—
474	C₂²×#121	C₂×D₄	1	32	yes	—
475	C₂²×#121	C₂×D₄	1	16	yes	—
476	C₂²×#121	C₂×D₄	1	32	yes	complemented
477	C₂²×#121	C₂×D₄	1	16	yes	complemented
478	C₂²×#121	C₂×D₄	1	16	yes	complemented
479	C₂²×#121	C₂×D₄	1	64	yes	complemented
480	C₂²×#120	C₂×D₄	1	64	yes	—
481	C₂²×#120	C₂×D₄	1	64	yes	complemented
482	C₂²×#120	C₂×D₄	1	16	yes	complemented
483	C₂²×#120	C₂×D₄	1	16	yes	complemented
484	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
485	C₂²×C₄×D₄	C₂×D₄	1	32	yes	—
486	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
487	C₂²×C₄×D₄	C₂×D₄	1	16	yes	complemented
488	C₂²×C₄×D₄	C₂×D₄	1	32	yes	complemented
489	C₂²×C₄×D₄	C₂×D₄	1	16	yes	complemented
490	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
491	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
492	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
493	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
494	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
495	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
496	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
497	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
498	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
499	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
500	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
501	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
502	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
503	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
504	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
505	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
506	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
507	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
508	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
509	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
511	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
512	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
514	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
515	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
516	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
517	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
518	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
519	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
521	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
522	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
523	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
524	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
525	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
526	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
527	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
528	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
529	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
530	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
531	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
532	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
533	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
534	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
535	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
536	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
537	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
538	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
539	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
540	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
542	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
543	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
544	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
545	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
546	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
547	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
548	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
549	C₂³×C₄²	C₂×D₄	1	8	yes	complemented
550	C₂³×C₄²	C₂⁴	1	2	yes	—
551	C₂³×C₄²	C₂⁴	1	2	yes	—
552	C₂³×C₄²	C₂⁴	1	4	yes	—
553	C₂×#392	C₂×D₄	1	32	yes	complemented
554	C₂×#386	C₂×D₄	1	16	yes	complemented
555	C₂×#386	C₂×D₄	1	16	yes	complemented
556	C₂×#379	C₂×D₄	1	8	yes	complemented
557	C₂²×#95	C₂⁴	1	2	yes	—
558	C₂²×#95	C₂⁴	1	4	yes	—
559	C₂²×#95	C₂⁴	1	2	yes	—
560	C₂²×#95	C₂⁴	1	4	yes	—
561	C₂²×#95	C₂⁴	1	4	yes	—
562	C₂²×#95	C₂⁴	1	4	yes	—
563	C₂²×#95	C₂⁴	1	4	yes	—
564	C₂²×#95	C₂⁴	1	4	yes	—
565	C₂²×#95	C₂⁴	1	16	yes	—
566	C₂²×#95	C₂⁴	1	4	yes	—
567	C₂²×#95	C₂⁴	1	4	yes	—
568	C₂²×#95	C₂⁴	1	2	yes	—
569	C₂²×#95	C₂⁴	1	2	yes	—
570	C₂²×#95	C₂⁴	1	4	yes	—
571	C₂²×#95	C₂⁴	1	8	yes	—
572	C₂²×#95	C₂⁴	1	4	yes	—
573	C₂²×#95	C₂⁴	1	16	yes	—
574	C₂²×#95	C₂⁴	1	8	yes	—
575	C₂²×#95	C₂⁴	1	16	yes	—
576	C₂²×#95	C₂⁴	1	4	yes	—
577	C₂²×#95	C₂⁴	1	4	yes	—
578	C₂²×#95	C₂⁴	1	4	yes	—
579	C₂²×#95	C₂⁴	1	4	yes	—
580	C₂²×#95	C₂⁴	1	4	yes	—
581	C₂²×#95	C₂⁴	1	4	yes	—
582	C₂²×#95	C₂⁴	1	16	yes	—
583	C₂²×#95	C₂⁴	1	8	yes	—
584	C₂²×#95	C₂⁴	1	4	yes	—
585	C₂²×#95	C₂⁴	1	16	yes	—
586	C₂²×#95	C₂⁴	1	4	yes	—
587	C₂⁶	C₂²×D₄	1	4	yes	—
588	C₂⁶	C₂²×D₄	1	4	yes	—
589	C₂⁶	C₂²×D₄	1	8	yes	—
590	C₂⁶	C₂²×D₄	1	8	yes	—
591	C₂⁶	C₂²×D₄	1	8	yes	—
592	C₂⁶	C₂²×D₄	1	32	yes	—
593	C₂⁶	C₂²×D₄	1	16	yes	—
594	C₂⁶	C₂²×D₄	1	4	yes	—
595	C₂⁶	C₂²×D₄	1	4	yes	—
596	C₂⁶	C₂²×D₄	1	4	yes	—
597	C₂⁶	C₂²×D₄	1	4	yes	—
598	C₂⁶	C₂²×D₄	1	16	yes	—
599	C₂⁶	C₂²×D₄	1	32	yes	—
600	C₂⁶	C₂²×D₄	1	4	yes	complemented
601	C₂⁶	C₂×#41	1	4	yes	—
602	C₂⁶	C₂×#41	1	4	yes	—
603	C₂⁶	H(5,𝔽₂)	1	16	yes	—
604	C₂⁶	H(5,𝔽₂)	1	4	yes	—
605	C₂⁶	H(5,𝔽₂)	1	4	yes	—
606	C₂⁶	C₂⁵	1	2	yes	—
607	C₂⁶	C₂⁵	1	4	yes	—
608	C₂⁶	C₂⁵	1	4	yes	—
609	C₂⁶	C₂⁵	1	2	yes	—
610	C₂⁶	C₂⁵	1	1	yes	characteristic
611	C₂⁶	C₂⁵	1	4	yes	—
612	C₂⁶	C₂⁵	1	1	yes	characteristic
613	C₂⁶	C₂⁵	1	1	yes	characteristic
614	C₂³×D₄	#120	1	128	yes	complemented
615	C₂³×D₄	#121	1	64	yes	—
616	C₂³×D₄	C₂²×D₄	1	8	yes	—
617	C₂³×D₄	C₂²×D₄	1	16	yes	—
618	C₂³×D₄	C₂²×D₄	1	8	yes	—
619	C₂³×D₄	C₂²×D₄	1	16	yes	—
620	C₂³×D₄	C₂²×D₄	1	32	yes	—
621	C₂³×D₄	C₂²×D₄	1	8	yes	—
622	C₂³×D₄	C₂²×D₄	1	8	yes	—
623	C₂³×D₄	C₂²×D₄	1	8	yes	—
624	C₂³×D₄	C₂²×D₄	1	16	yes	—
625	C₂³×D₄	C₂²×D₄	1	32	yes	—
626	C₂³×D₄	C₂²×D₄	1	32	yes	—
627	C₂³×D₄	C₂²×D₄	1	32	yes	—
628	C₂³×D₄	C₂²×D₄	1	8	yes	—
629	C₂³×D₄	C₂²×D₄	1	16	yes	—
630	C₂³×D₄	C₂²×D₄	1	8	yes	—
631	C₂³×D₄	C₂²×D₄	1	32	yes	—
632	C₂³×D₄	C₂²×D₄	1	16	yes	—
633	C₂³×D₄	C₂²×D₄	1	8	yes	—
634	C₂³×D₄	C₂²×D₄	1	16	yes	—
635	C₂³×D₄	C₂²×D₄	1	8	yes	—
636	C₂³×D₄	C₂²×D₄	1	32	yes	—
637	C₂³×D₄	C₂²×D₄	1	16	yes	—
638	C₂³×D₄	C₂²×D₄	1	8	yes	—
639	C₂³×D₄	C₂²×D₄	1	16	yes	—
640	C₂³×D₄	C₂²×D₄	1	8	yes	—
641	C₂³×D₄	C₂²×D₄	1	8	yes	complemented
642	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
643	C₂³×D₄	C₂×#41	1	8	yes	—
644	C₂³×D₄	C₂×#41	1	8	yes	—
645	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
646	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
647	C₂⁴×C₄	#120	1	64	yes	complemented
648	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
649	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
650	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
651	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
652	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
653	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
654	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
655	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
656	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
657	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
658	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
659	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
660	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
661	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
662	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
663	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
664	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
665	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
666	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
667	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
668	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
669	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
670	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
671	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
672	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
673	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
674	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
675	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
676	C₂⁴×C₄	C₂²×D₄	1	4	yes	complemented
677	C₂⁴×C₄	C₂×#41	1	4	yes	—
678	C₂⁴×C₄	C₂⁵	1	2	yes	—
679	C₂⁴×C₄	C₂⁵	1	2	yes	—
680	C₂⁴×C₄	C₂⁵	1	8	yes	—
681	C₂⁴×C₄	C₂⁵	1	4	yes	—
682	C₂⁴×C₄	C₂⁵	1	2	yes	—
683	C₂⁴×C₄	C₂⁵	1	4	yes	—
684	C₂⁴×C₄	C₂⁵	1	8	yes	—
685	C₂⁴×C₄	C₂⁵	1	4	yes	—
686	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
687	C₂⁴×C₄	C₂⁵	1	2	yes	—
688	C₂⁴×C₄	C₂⁵	1	2	yes	—
689	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
690	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
691	C₂⁴×C₄	C₂⁵	1	2	yes	—
692	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
693	C₂×#121	#120	1	128	yes	complemented
694	C₂×C₄×D₄	#120	1	128	yes	complemented
695	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
696	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
697	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	—
698	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
699	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	—
700	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
701	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
702	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
703	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
704	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
705	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
706	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
707	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
708	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
709	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
710	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
711	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
712	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
713	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
714	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	complemented
715	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	complemented
716	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
717	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	16	yes	—
718	C₂²×C₄²	C₂²×D₄	1	8	yes	—
719	C₂²×C₄²	C₂²×D₄	1	16	yes	—
720	C₂²×C₄²	C₂²×D₄	1	8	yes	—
721	C₂×#95	C₂²×D₄	1	16	yes	complemented
722	C₂⁵	C₂×#120	1	64	yes	—
723	C₂⁵	C₂×#120	1	16	yes	—
724	C₂⁵	C₂×#121	1	16	yes	—
725	C₂⁵	C₂×#121	1	16	yes	—
726	C₂⁵	#534	1	32	yes	—
727	C₂⁵	#535	1	16	yes	—
728	C₂⁵	D₄²	1	16	yes	—
729	C₂⁵	D₄²	1	16	yes	—
730	C₂⁵	#546	1	16	yes	—
731	C₂⁵	#546	1	16	yes	—
732	C₂⁵	C₂³×D₄	1	4	yes	—
733	C₂⁵	C₂³×D₄	1	8	yes	—
734	C₂⁵	C₂³×D₄	1	16	yes	—
735	C₂⁵	C₂³×D₄	1	16	yes	—
736	C₂⁵	C₂³×D₄	1	8	yes	—
737	C₂⁵	C₂³×D₄	1	2	yes	—
738	C₂⁵	C₂³×D₄	1	4	yes	—
739	C₂⁵	C₂³×D₄	1	8	yes	—
740	C₂⁵	C₂³×D₄	1	2	yes	—
741	C₂⁵	C₂³×D₄	1	2	yes	—
742	C₂⁵	C₂³×D₄	1	8	yes	—
743	C₂⁵	C₂³×D₄	1	16	yes	—
744	C₂⁵	C₂³×D₄	1	2	yes	—
745	C₂⁵	C₂³×D₄	1	4	yes	—
746	C₂⁵	C₂³×D₄	1	2	yes	—
747	C₂⁵	C₂³×D₄	1	2	yes	—
748	C₂⁵	C₂³×D₄	1	8	yes	—
749	C₂⁵	C₂³×D₄	1	2	yes	—
750	C₂⁵	C₂³×D₄	1	2	yes	—
751	C₂⁵	C₂³×D₄	1	2	yes	—
752	C₂⁵	C₂³×D₄	1	2	yes	—
753	C₂⁵	C₂³×D₄	1	2	yes	—
754	C₂⁵	C₂³×D₄	1	2	yes	—
755	C₂⁵	C₂²×#41	1	2	yes	—
756	C₂⁵	C₂²×#41	1	4	yes	—
757	C₂⁵	C₂²×#41	1	2	yes	—
758	C₂⁵	C₂²×#41	1	2	yes	—
759	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
760	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
761	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
762	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
763	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
764	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
765	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
766	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
767	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
768	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
769	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
770	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
771	C₂⁵	C₂⁶	1	1	yes	characteristic
772	C₂²×D₄	C₂×#120	1	32	yes	—
773	C₂²×D₄	C₂×#120	1	64	yes	—
774	C₂²×D₄	C₂×#120	1	64	yes	—
775	C₂²×D₄	C₂×#120	1	32	yes	—
776	C₂²×D₄	C₂×#120	1	32	yes	—
777	C₂²×D₄	C₂×#120	1	32	yes	complemented
778	C₂²×D₄	C₂×#121	1	32	yes	—
779	C₂²×D₄	C₂×#121	1	32	yes	—
780	C₂²×D₄	#534	1	32	yes	—
781	C₂²×D₄	#535	1	32	yes	—
782	C₂²×D₄	D₄²	1	64	yes	—
783	C₂²×D₄	#546	1	64	yes	—
784	C₂³×C₄	C₂×#120	1	16	yes	—
785	C₂³×C₄	C₂×#120	1	16	yes	—
786	C₂³×C₄	C₂×#120	1	16	yes	—
787	C₂³×C₄	C₂×#120	1	16	yes	—
788	C₂³×C₄	C₂×#120	1	16	yes	—
789	C₂³×C₄	C₂×#120	1	32	yes	—
790	C₂³×C₄	C₂×#120	1	16	yes	—
791	C₂³×C₄	C₂×#120	1	32	yes	—
792	C₂³×C₄	C₂×#120	1	32	yes	—
793	C₂³×C₄	C₂×#120	1	32	yes	complemented
794	C₂³×C₄	C₂×#121	1	16	yes	—
795	C₂³×C₄	C₂³×D₄	1	8	yes	—
796	C₂³×C₄	C₂³×D₄	1	4	yes	—
797	C₂³×C₄	C₂³×D₄	1	2	yes	—
798	C₂³×C₄	C₂³×D₄	1	8	yes	—
799	C₂³×C₄	C₂³×D₄	1	4	yes	—
800	C₂³×C₄	C₂³×D₄	1	8	yes	—
801	C₂³×C₄	C₂³×D₄	1	2	yes	—
802	C₂³×C₄	C₂³×D₄	1	4	yes	—
803	C₂³×C₄	C₂³×D₄	1	16	yes	—
804	C₂³×C₄	C₂³×D₄	1	8	yes	—
805	C₂³×C₄	C₂³×D₄	1	2	yes	—
806	C₂³×C₄	C₂³×D₄	1	2	yes	—
807	C₂³×C₄	C₂³×D₄	1	2	yes	—
808	C₂³×C₄	C₂³×D₄	1	8	yes	—
809	C₂³×C₄	C₂³×D₄	1	2	yes	—
810	C₂³×C₄	C₂³×D₄	1	2	yes	—
811	C₂³×C₄	C₂³×D₄	1	2	yes	—
812	C₂³×C₄	C₂³×D₄	1	8	yes	—
813	C₂³×C₄	C₂³×D₄	1	2	yes	—
814	C₂³×C₄	C₂³×D₄	1	4	yes	—
815	C₂³×C₄	C₂³×D₄	1	2	yes	—
816	C₂³×C₄	C₂³×D₄	1	8	yes	—
817	C₂³×C₄	C₂³×D₄	1	2	yes	—
818	C₂³×C₄	C₂³×D₄	1	2	yes	—
819	C₂³×C₄	C₂³×D₄	1	4	yes	—
820	C₂³×C₄	C₂²×#41	1	4	yes	—
821	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
822	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
823	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
824	C₂×C₄⋊C₄	C₂×#120	1	32	yes	complemented
825	C₂×C₄⋊C₄	C₂×#120	1	32	yes	complemented
826	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
827	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	complemented
828	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	complemented
829	C₂×C₄²	C₂×#120	1	32	yes	complemented
830	C₂⁴	#2408	1	64	yes	—
831	C₂⁴	C₂²×#120	1	16	yes	—
832	C₂⁴	C₂²×#120	1	16	yes	—
833	C₂⁴	C₂²×#120	1	4	yes	—
834	C₂⁴	C₂²×#120	1	8	yes	—
835	C₂⁴	C₂²×#120	1	16	yes	—
836	C₂⁴	C₂²×#120	1	8	yes	—
837	C₂⁴	C₂²×#120	1	8	yes	—
838	C₂⁴	C₂²×#120	1	4	yes	—
839	C₂⁴	C₂²×#120	1	8	yes	—
840	C₂⁴	C₂²×#120	1	4	yes	—
841	C₂⁴	C₂²×#121	1	8	yes	—
842	C₂⁴	C₂²×#121	1	4	yes	—
843	C₂⁴	C₂²×#121	1	4	yes	—
844	C₂⁴	C₂²×#121	1	4	yes	—
845	C₂⁴	C₂×#534	1	16	yes	—
846	C₂⁴	C₂×#534	1	16	yes	—
847	C₂⁴	C₂×#534	1	8	yes	—
848	C₂⁴	C₂×#535	1	4	yes	—
849	C₂⁴	C₂×#535	1	8	yes	—
850	C₂⁴	C₂×#535	1	4	yes	—
851	C₂⁴	C₂×#535	1	4	yes	—
852	C₂⁴	C₂×#535	1	8	yes	—
853	C₂⁴	C₂×D₄²	1	4	yes	—
854	C₂⁴	C₂×D₄²	1	16	yes	—
855	C₂⁴	C₂×D₄²	1	4	yes	—
856	C₂⁴	C₂×D₄²	1	4	yes	—
857	C₂⁴	C₂×D₄²	1	4	yes	—
858	C₂⁴	C₂×D₄²	1	16	yes	—
859	C₂⁴	C₂×D₄²	1	4	yes	—
860	C₂⁴	C₂×D₄²	1	4	yes	—
861	C₂⁴	C₂×#546	1	4	yes	—
862	C₂⁴	C₂×#546	1	16	yes	—
863	C₂⁴	C₂×#546	1	4	yes	—
864	C₂⁴	C₂×#546	1	16	yes	—
865	C₂⁴	C₂×#546	1	4	yes	—
866	C₂⁴	C₂×#546	1	4	yes	—
867	C₂⁴	C₂×#546	1	4	yes	—
868	C₂⁴	C₂×#546	1	4	yes	—
869	C₂⁴	#3484	1	64	yes	—
870	C₂⁴	#3484	1	16	yes	—
871	C₂⁴	#3484	1	8	yes	—
872	C₂⁴	#3484	1	8	yes	—
873	C₂⁴	#3484	1	16	yes	—
874	C₂⁴	#3484	1	8	yes	—
875	C₂⁴	#3484	1	16	yes	—
876	C₂⁴	#3484	1	8	yes	—
877	C₂⁴	#3484	1	8	yes	—
878	C₂⁴	#3498	1	8	yes	—
879	C₂⁴	#3498	1	8	yes	—
880	C₂⁴	#3519	1	16	yes	—
881	C₂⁴	#3532	1	16	yes	—
882	C₂⁴	#3537	1	16	yes	—
883	C₂⁴	C₂⁴×D₄	1	4	yes	—
884	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
885	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
886	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
887	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
888	C₂⁴	C₂³×#41	1	1	yes	characteristic
889	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
890	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
891	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
892	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
893	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
894	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
895	C₂⁴	H(7,𝔽₂)	1	4	yes	—
896	C₂×D₄	#2408	1	128	yes	—
897	C₂²×C₄	#2846	1	64	yes	complemented
898	C₂²×C₄	C₂²×#120	1	4	yes	—
899	C₂²×C₄	C₂²×#120	1	8	yes	—
900	C₂²×C₄	C₂²×#120	1	16	yes	—
901	C₂²×C₄	C₂²×#120	1	8	yes	—
902	C₂²×C₄	C₂²×#120	1	8	yes	—
903	C₂²×C₄	C₂²×#120	1	4	yes	—
904	C₂²×C₄	C₂²×#120	1	8	yes	—
905	C₂²×C₄	C₂²×#120	1	8	yes	—
906	C₂²×C₄	C₂²×#120	1	8	yes	—
907	C₂²×C₄	C₂²×#120	1	4	yes	—
908	C₂²×C₄	C₂²×#120	1	8	yes	—
909	C₂²×C₄	C₂²×#120	1	8	yes	—
910	C₂²×C₄	C₂²×#120	1	8	yes	—
911	C₂²×C₄	C₂²×#120	1	4	yes	—
912	C₂²×C₄	C₂²×#121	1	8	yes	—
913	C₂²×C₄	C₂×#534	1	8	yes	—
914	C₂²×C₄	C₂×#535	1	8	yes	—
915	C₂²×C₄	C₂×D₄²	1	16	yes	—
916	C₂²×C₄	C₂×#546	1	16	yes	—
917	C₂²×C₄	#3484	1	8	yes	—
918	C₂²×C₄	#3484	1	8	yes	—
919	C₂³	C₂×#2408	1	8	yes	—
920	C₂³	C₂×#2408	1	16	yes	—
921	C₂³	C₂×#2408	1	16	yes	—
922	C₂³	C₂×#2408	1	8	yes	—
923	C₂³	C₂×#2408	1	8	yes	—
924	C₂³	#34980	1	32	yes	—
925	C₂³	#34980	1	8	yes	—
926	C₂³	#35222	1	16	yes	—
927	C₂³	#35222	1	8	yes	—
928	C₂³	#35527	1	8	yes	—
929	C₂³	#35691	1	16	yes	—
930	C₂³	D₄×#120	1	16	yes	—
931	C₂³	D₄×#120	1	16	yes	—
932	C₂³	#36152	1	16	yes	—
933	C₂³	#36152	1	16	yes	—
934	C₂³	C₂×#2846	1	8	yes	—
935	C₂³	#37644	1	16	yes	—
936	C₂³	#38020	1	16	yes	—
937	C₂³	#40490	1	16	yes	—
938	C₂³	#43001	1	16	yes	—
939	C₂³	#43893	1	16	yes	—
940	C₂³	C₂³×#120	1	2	yes	—
941	C₂³	C₂³×#120	1	1	yes	characteristic
942	C₂³	C₂³×#120	1	2	yes	—
943	C₂³	C₂³×#120	1	2	yes	—
944	C₂³	C₂³×#121	1	1	yes	characteristic
945	C₂³	C₂²×#534	1	2	yes	—
946	C₂³	C₂²×#534	1	2	yes	—
947	C₂³	C₂²×#535	1	1	yes	characteristic
948	C₂³	C₂²×#535	1	2	yes	—
949	C₂³	C₂²×D₄²	1	4	yes	—
950	C₂³	C₂²×D₄²	1	1	yes	characteristic
951	C₂³	C₂²×D₄²	1	1	yes	characteristic
952	C₂³	C₂²×#546	1	4	yes	—
953	C₂³	C₂²×#546	1	1	yes	characteristic
954	C₂³	C₂²×#546	1	1	yes	characteristic
955	C₂³	C₂×#3532	1	4	yes	—
956	C₂³	C₂×#3537	1	4	yes	—
957	C₂³	C₂×#3484	1	4	yes	—
958	C₂³	C₂×#3484	1	16	yes	—
959	C₂³	C₂×#3484	1	4	yes	—
960	C₂³	C₂×#3484	1	2	yes	—
961	C₂³	C₂×#3484	1	2	yes	—
962	C₂³	C₂×#3484	1	2	yes	—
963	C₂³	C₂×#3484	1	2	yes	—
964	C₂³	C₂×#3484	1	2	yes	—
965	C₂³	C₂×#3484	1	2	yes	—
966	C₂³	C₂×#3484	1	2	yes	—
967	C₂³	C₂×#3484	1	4	yes	—
968	C₂³	C₂×#3519	1	4	yes	—
969	C₂³	C₂×#3498	1	2	yes	—
970	C₂³	C₂×#3498	1	2	yes	—
971	C₂³	#62842	1	2	yes	—
972	C₂³	#62852	1	2	yes	—
973	C₂³	#62852	1	2	yes	—
974	C₂³	#62892	1	16	yes	—
975	C₂³	#62892	1	4	yes	—
976	C₂³	#62892	1	4	yes	—
977	C₂³	D₄×H(5,𝔽₂)	1	4	yes	—
978	C₂³	D₄×H(5,𝔽₂)	1	16	yes	—
979	C₂³	#62983	1	4	yes	—
980	C₂³	#63011	1	16	yes	—
981	C₂×C₄	C₂×#2408	1	16	yes	—
982	C₂×C₄	#34980	1	8	yes	—
983	C₂×C₄	C₂×#2846	1	8	yes	—
984	C₂×C₄	C₂×#2846	1	8	yes	—
985	C₂²	#612792	1	16	yes	—
986	C₂²	#719096	1	16	yes	complemented
987	C₂²	C₂²×#2408	1	2	yes	—
988	C₂²	C₂²×#2408	1	1	yes	characteristic
989	C₂²	C₂×#34980	1	1	yes	characteristic
990	C₂²	C₂×#34980	1	4	yes	—
991	C₂²	C₂×#34980	1	1	yes	characteristic
992	C₂²	C₂×#35222	1	1	yes	characteristic
993	C₂²	C₂×#35222	1	2	yes	—
994	C₂²	C₂×#35527	1	1	yes	characteristic
995	C₂²	C₂×#35691	1	2	yes	—
996	C₂²	C₂×D₄×#120	1	2	yes	—
997	C₂²	C₂×D₄×#120	1	2	yes	—
998	C₂²	C₂×#36152	1	2	yes	—
999	C₂²	C₂×#36152	1	2	yes	—
1000	C₂²	#7630502	1	1	yes	characteristic
1001	C₂²	#7630939	1	4	yes	—
1002	C₂²	#7630939	1	4	yes	—
1003	C₂²	#7631286	1	4	yes	—
1004	C₂²	#7631332	1	2	yes	—
1005	C₂²	#7633039	1	4	yes	—
1006	C₂²	#7633039	1	4	yes	—
1007	C₂²	C₂²×#2846	1	1	yes	characteristic
1008	C₂²	C₂×#37644	1	2	yes	—
1009	C₂²	C₂×#38020	1	2	yes	—
1010	C₂²	C₂×#40490	1	2	yes	—
1011	C₂²	#7644629	1	4	yes	—
1012	C₂²	#7645255	1	2	yes	—
1013	C₂²	#7652795	1	4	yes	—
1014	C₂²	#7653790	1	4	yes	—
1015	C₂²	#7656573	1	4	yes	—
1016	C₂²	D₄×#534	1	2	yes	—
1017	C₂²	#7664581	1	2	yes	—
1018	C₂²	C₂×#43001	1	2	yes	—
1019	C₂²	C₂×#43893	1	2	yes	—
1020	C₂²	#7675477	1	2	yes	—
1021	C₂²	#7675495	1	2	yes	—
1022	C₂²	#7684106	1	16	yes	—
1023	C₂²	#7684390	1	16	yes	—
1024	C₂²	#7718061	1	4	yes	—
1025	C₂²	#7733603	1	4	yes	—
1026	C₂²	#7966198	1	16	yes	—
1027	C₂²	#7967779	1	16	yes	—
1028	C₂	#72232081	1	4	yes	—
1029	C₂	#72233556	1	4	yes	—
1030	C₂	#72233560	1	4	yes	—
1031	C₂	#72233691	1	1	yes	characteristic
1032	C₂	#72233710	1	4	yes	—
1033	C₂	#72233711	1	4	yes	—
1034	C₂	C₂×#719096	1	1	yes	characteristic
1035	C₂	#72237105	1	1	yes	characteristic
1036	C₂	#72237108	1	4	yes	—
1037	C₂	#72261601	1	1	yes	characteristic
1038	C₂	C₂×#612792	1	1	yes	characteristic
1039	C₂	#72327596	1	1	yes	characteristic
1040	C₂	#72334936	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁶
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. #72335030	C₂	semidirect
2. #72335029	C₂	semidirect
3. #72334994	C₂	semidirect
4. #72334991	C₂	semidirect
5. #72334396	C₂	semidirect
6. #72334390	C₂	semidirect
7. #72330008	C₂	semidirect
8. #72317008	C₂	semidirect
9. #72317006	C₂	semidirect
10. C₂×#640968	C₂	semidirect
11. C₂×#516725	C₂	semidirect
12. #72296143	C₂	semidirect
13. #72287879	C₂	semidirect
14. #72286421	C₂	semidirect
15. #72250308	C₂	semidirect
16. #72250292	C₂	semidirect
17. C₂²×#14715	C₂	semidirect
18. #72240113	C₂	semidirect
19. #72236727	C₂	semidirect
20. C₂×#719096	C₂	semidirect
21. #72233926	C₂	semidirect
22. C₂×#612424	C₂	semidirect
23. C₂⁴×D₄²	C₂	semidirect
26. C₂⁶×D₄	C₂²	semidirect
29. C₂³×D₄²	C₂²	semidirect
30. C₂³×D₄²	C₂²	semidirect
31. C₂⁴×#127	C₂²	semidirect
33. C₂⁴×#121	C₂²	semidirect
34. C₂⁴×#121	C₂²	semidirect
36. C₂⁴×#120	C₂²	semidirect
37. C₂⁴×#120	C₂²	semidirect
39. C₂⁴×C₄×D₄	C₂²	semidirect
40. C₂²×#2846	C₂²	semidirect
42. C₂²×#2403	C₂²	semidirect
43. C₂²×#2403	C₂²	semidirect
44. C₂²×#2617	C₂²	semidirect
45. C₂³×#392	C₂²	semidirect
46. C₂³×#392	C₂²	semidirect
47. C₂²×#2321	C₂²	semidirect
48. C₂³×#386	C₂²	semidirect
49. C₂³×#379	C₂²	semidirect
50. C₂×#16502	C₂²	semidirect
51. C₂×#16500	C₂²	semidirect
52. C₂×#16500	C₂²	semidirect
53. C₂×#16260	C₂²	semidirect
54. C₂×#15320	C₂²	semidirect
55. C₂×#15267	C₂²	semidirect
56. C₂×#14913	C₂²	semidirect
57. C₂×#14795	C₂²	semidirect
58. C₂×#14776	C₂²	semidirect
59. C₂×#14725	C₂²	semidirect
60. C₂×#14724	C₂²	semidirect
61. C₂×#14718	C₂²	semidirect
62. C₂×#14716	C₂²	semidirect
64. C₂×#14715	C₂²	semidirect
65. C₂×#14715	C₂²	semidirect
66. C₂×#14715	C₂²	semidirect
67. C₂×#14715	C₂²	semidirect
68. C₂×#14715	C₂²	semidirect
69. C₂×#14715	C₂²	semidirect
70. C₂×#14715	C₂²	semidirect
71. C₂×#14715	C₂²	semidirect
72. C₂×#14715	C₂²	semidirect
73. C₂×#14715	C₂²	semidirect
74. C₂×#14715	C₂²	semidirect
75. C₂×#14715	C₂²	semidirect
76. C₂×#14715	C₂²	semidirect
77. C₂×#14696	C₂²	semidirect
78. C₂×#14694	C₂²	semidirect
79. C₂×#14694	C₂²	semidirect
80. C₂×#14680	C₂²	semidirect
81. C₂×#14679	C₂²	semidirect
82. C₂×#14679	C₂²	semidirect
83. C₂×#14679	C₂²	semidirect
84. C₂×#14299	C₂²	semidirect
85. C₂×#14271	C₂²	semidirect
86. C₂×#14187	C₂²	semidirect
87. C₂×#14152	C₂²	semidirect
88. C₂×#14127	C₂²	semidirect
89. C₂×#14019	C₂²	semidirect
90. C₂×#14016	C₂²	semidirect
91. C₂×#13995	C₂²	semidirect
92. C₂×#13967	C₂²	semidirect
93. C₂×#13960	C₂²	semidirect
94. C₂×#13902	C₂²	semidirect
95. C₂×#13902	C₂²	semidirect
96. C₂×#13902	C₂²	semidirect
99. C₂×#13867	C₂²	semidirect
100. C₂×#13867	C₂²	semidirect
101. C₂×#13867	C₂²	semidirect
102. C₂×#13867	C₂²	semidirect
103. C₂×#13867	C₂²	semidirect
104. C₂×#13867	C₂²	semidirect
105. C₂×#13867	C₂²	semidirect
106. C₂²×#1438	C₂²	semidirect
107. C₂²×#1438	C₂²	semidirect
108. C₂×#13784	C₂²	semidirect
109. C₂×C₄×#379	C₂²	semidirect
110. C₂²×C₂²⋊#95	C₂²	semidirect
111. #158327	C₂²	semidirect
112. #158314	C₂²	semidirect
113. #156854	C₂²	semidirect
114. #156854	C₂²	semidirect
115. #156706	C₂²	semidirect
116. #156706	C₂²	semidirect
117. #156688	C₂²	semidirect
118. #156688	C₂²	semidirect
119. #156684	C₂²	semidirect
120. #156684	C₂²	semidirect
121. #155653	C₂²	semidirect
122. #155652	C₂²	semidirect
123. #155652	C₂²	semidirect
124. #154729	C₂²	semidirect
125. #154671	C₂²	semidirect
126. #154634	C₂²	semidirect
127. #154467	C₂²	semidirect
128. #154320	C₂²	semidirect
129. #154255	C₂²	semidirect
130. #154200	C₂²	semidirect
131. #154195	C₂²	semidirect
132. #154195	C₂²	semidirect
133. #154195	C₂²	semidirect
134. #154195	C₂²	semidirect
135. #154194	C₂²	semidirect
136. #154177	C₂²	semidirect
137. #154115	C₂²	semidirect
138. #154110	C₂²	semidirect
139. #154099	C₂²	semidirect
140. #154097	C₂²	semidirect
141. #154095	C₂²	semidirect
142. #154094	C₂²	semidirect
143. #154094	C₂²	semidirect
144. #154094	C₂²	semidirect
145. #154094	C₂²	semidirect
146. #154094	C₂²	semidirect
147. #154094	C₂²	semidirect
148. #154094	C₂²	semidirect
149. #154094	C₂²	semidirect
150. #154094	C₂²	semidirect
151. #154094	C₂²	semidirect
152. #154094	C₂²	semidirect
153. #154078	C₂²	semidirect
154. #154077	C₂²	semidirect
155. #154077	C₂²	semidirect
156. #153851	C₂²	semidirect
157. #153827	C₂²	semidirect
158. #153749	C₂²	semidirect
161. C₂⁵×D₄	D₄	semidirect
181. C₂⁵×D₄	C₂³	semidirect
185. C₂²×D₄²	D₄	semidirect
188. C₂³×#121	D₄	semidirect
206. C₂³×#120	C₂³	semidirect
207. C₂³×#120	C₂³	semidirect
208. C₂³×#120	C₂³	semidirect
209. C₂³×C₄×D₄	D₄	semidirect
225. C₂⁴×C₂²⋊C₄	C₂³	semidirect
226. C₂⁴×C₂²⋊C₄	C₂³	semidirect
227. C₂⁴×C₂²⋊C₄	C₂³	semidirect
228. C₂⁴×C₂²⋊C₄	C₂³	semidirect
229. C₂⁴×C₂²⋊C₄	C₂³	semidirect
231. C₂×#2403	D₄	semidirect
232. C₂²×#397	C₂³	semidirect
233. C₂²×#394	C₂³	semidirect
234. C₂²×#394	C₂³	semidirect
238. C₂²×#392	C₂³	semidirect
239. C₂²×#392	C₂³	semidirect
240. C₂²×#392	C₂³	semidirect
241. C₂²×#392	C₂³	semidirect
242. C₂²×#392	C₂³	semidirect
243. C₂²×#392	C₂³	semidirect
244. C₂²×#392	C₂³	semidirect
245. C₂²×#392	C₂³	semidirect
246. C₂²×#392	C₂³	semidirect
247. C₂²×#392	C₂³	semidirect
248. C₂²×#392	C₂³	semidirect
249. C₂²×#390	C₂³	semidirect
250. C₂²×#390	C₂³	semidirect
251. C₂²×#388	C₂³	semidirect
252. C₂²×#388	C₂³	semidirect
263. C₂²×#386	C₂³	semidirect
264. C₂²×#386	C₂³	semidirect
265. C₂²×#386	C₂³	semidirect
266. C₂²×#386	C₂³	semidirect
267. C₂²×#386	C₂³	semidirect
268. C₂²×#386	C₂³	semidirect
269. C₂²×#386	C₂³	semidirect
270. C₂²×#386	C₂³	semidirect
271. C₂²×#386	C₂³	semidirect
272. C₂²×#386	C₂³	semidirect
274. C₂²×#385	C₂³	semidirect
276. C₂²×#380	C₂³	semidirect
277. C₂²×#380	C₂³	semidirect
292. C₂²×#379	C₂³	semidirect
293. C₂²×#379	C₂³	semidirect
294. C₂²×#379	C₂³	semidirect
295. C₂²×#379	C₂³	semidirect
296. C₂²×#379	C₂³	semidirect
297. C₂²×#379	C₂³	semidirect
298. C₂²×#379	C₂³	semidirect
299. C₂²×#379	C₂³	semidirect
300. C₂²×#379	C₂³	semidirect
302. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
303. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
304. C₂³×#95	C₂³	semidirect
305. C₂³×#95	C₂³	semidirect
306. C₂³×#95	C₂³	semidirect
307. C₂³×#95	C₂³	semidirect
308. C₂×#1445	C₂³	semidirect
309. C₂×#1445	C₂³	semidirect
310. C₂×#1442	C₂³	semidirect
311. C₂×#1442	C₂³	semidirect
312. C₂×#1441	C₂³	semidirect
313. C₂×#1440	C₂³	semidirect
314. C₂×#1440	C₂³	semidirect
315. C₂×#1439	C₂³	semidirect
316. C₂×#1439	C₂³	semidirect
317. C₂×#1439	C₂³	semidirect
318. C₂×#1439	C₂³	semidirect
319. C₂×#1439	C₂³	semidirect
320. C₂×#1439	C₂³	semidirect
321. C₂×#1439	C₂³	semidirect
328. C₂×#1438	C₂³	semidirect
329. C₂×#1438	C₂³	semidirect
330. C₂×#1438	C₂³	semidirect
331. C₂×#1438	C₂³	semidirect
332. C₂×#1438	C₂³	semidirect
333. C₂×#1438	C₂³	semidirect
334. C₂×#1438	C₂³	semidirect
335. C₂×#1438	C₂³	semidirect
336. C₂×#1438	C₂³	semidirect
337. C₂×#1438	C₂³	semidirect
338. C₂×#1438	C₂³	semidirect
339. C₂×#1438	C₂³	semidirect
340. C₂×#1438	C₂³	semidirect
341. C₂×#1438	C₂³	semidirect
342. C₂×#1438	C₂³	semidirect
343. C₂×#1438	C₂³	semidirect
344. C₂×#1438	C₂³	semidirect
345. C₂×#1438	C₂³	semidirect
346. C₂×#1438	C₂³	semidirect
347. C₂×#1438	C₂³	semidirect
348. C₂×#1438	C₂³	semidirect
349. C₂×#1438	C₂³	semidirect
350. C₂×#1438	C₂³	semidirect
351. C₂×#1438	C₂³	semidirect
352. C₂×#1438	C₂³	semidirect
353. C₂×#1438	C₂³	semidirect
354. C₂×#1438	C₂³	semidirect
355. C₂×#1438	C₂³	semidirect
356. C₂×#1438	C₂³	semidirect
357. C₂×#1438	C₂³	semidirect
358. C₂×#1437	C₂³	semidirect
359. C₂×#1437	C₂³	semidirect
360. C₂×#1437	C₂³	semidirect
361. C₂×#1436	C₂³	semidirect
362. C₂×#1436	C₂³	semidirect
363. C₂×#1434	C₂³	semidirect
364. C₂×#1434	C₂³	semidirect
377. C₂×C₂²⋊#95	C₂³	semidirect
378. C₂×C₂²⋊#95	C₂³	semidirect
379. C₂×C₂²⋊#95	C₂³	semidirect
380. C₂×C₂²⋊#95	C₂³	semidirect
381. C₂×C₂²⋊#95	C₂³	semidirect
382. C₂×C₂²⋊#95	C₂³	semidirect
383. C₂×C₂²⋊#95	C₂³	semidirect
384. C₂×C₂²⋊#95	C₂³	semidirect
385. C₂×C₂²⋊#95	C₂³	semidirect
386. C₂×C₂²⋊#95	C₂³	semidirect
387. C₂×C₂²⋊#95	C₂³	semidirect
388. C₂×C₂²⋊#95	C₂³	semidirect
389. C₂×C₂²⋊#95	C₂³	semidirect
390. C₂×C₂²⋊#95	C₂³	semidirect
391. C₂×C₂²⋊#95	C₂³	semidirect
392. C₂×C₂²⋊#95	C₂³	semidirect
393. #7557	C₂³	semidirect
394. #7557	C₂³	semidirect
395. #7555	C₂³	semidirect
396. #7555	C₂³	semidirect
397. #7555	C₂³	semidirect
398. #7555	C₂³	semidirect
399. #7555	C₂³	semidirect
400. #7555	C₂³	semidirect
401. #7555	C₂³	semidirect
402. #7554	C₂³	semidirect
425. C₂⁴×D₄	C₂×D₄	semidirect
426. C₂⁴×D₄	C₂×D₄	semidirect
427. C₂⁴×D₄	C₂×D₄	semidirect
454. C₂⁵×C₄	C₂×D₄	semidirect
472. C₂²×#127	C₂×D₄	semidirect
476. C₂²×#121	C₂×D₄	semidirect
477. C₂²×#121	C₂×D₄	semidirect
478. C₂²×#121	C₂×D₄	semidirect
479. C₂²×#121	C₂×D₄	semidirect
481. C₂²×#120	C₂×D₄	semidirect
482. C₂²×#120	C₂×D₄	semidirect
483. C₂²×#120	C₂×D₄	semidirect
487. C₂²×C₄×D₄	C₂×D₄	semidirect
488. C₂²×C₄×D₄	C₂×D₄	semidirect
489. C₂²×C₄×D₄	C₂×D₄	semidirect
490. C₂³×C₄⋊C₄	C₂×D₄	semidirect
491. C₂³×C₄⋊C₄	C₂×D₄	semidirect
499. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
500. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
549. C₂³×C₄²	C₂×D₄	semidirect
553. C₂×#392	C₂×D₄	semidirect
554. C₂×#386	C₂×D₄	semidirect
555. C₂×#386	C₂×D₄	semidirect
556. C₂×#379	C₂×D₄	semidirect
600. C₂⁶	C₂²×D₄	semidirect
614. C₂³×D₄	#120	semidirect
641. C₂³×D₄	C₂²×D₄	semidirect
642. C₂³×D₄	C₂²×D₄	semidirect
647. C₂⁴×C₄	#120	semidirect
676. C₂⁴×C₄	C₂²×D₄	semidirect
693. C₂×#121	#120	semidirect
694. C₂×C₄×D₄	#120	semidirect
713. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
714. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
715. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
716. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
721. C₂×#95	C₂²×D₄	semidirect
777. C₂²×D₄	C₂×#120	semidirect
793. C₂³×C₄	C₂×#120	semidirect
824. C₂×C₄⋊C₄	C₂×#120	semidirect
825. C₂×C₄⋊C₄	C₂×#120	semidirect
827. C₂×C₂²⋊C₄	C₂×#120	semidirect
828. C₂×C₂²⋊C₄	C₂×#120	semidirect
829. C₂×C₄²	C₂×#120	semidirect
897. C₂²×C₄	#2846	semidirect
986. C₂²	#719096	semidirect

Maximal subgroups

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

subgroup	index
#72335030	2
#72335029	2
#72334994	2
#72334991	2
#72334396	2
#72334390	2
#72330008	2
#72317008	2
#72317006	2
C₂×#640968	2
C₂×#516725	2
#72296143	2
#72287879	2
#72286421	2
#72250308	2
#72250292	2
C₂²×#14715	2
#72240113	2
#72236727	2
C₂×#719096	2
#72233926	2
C₂×#612424	2
C₂⁴×D₄²	2