Subgroups — #72336417

Order 2048.

At least 9086 conjugacy classes of subgroups; only the 6872 normal subgroups are shown.

The subgroup lattice has 966 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72336308	C₂	1	2	yes	maximal, complemented
2	#72336254	C₂	1	2	yes	maximal, complemented
3	#72336196	C₂	1	2	yes	maximal, complemented
4	#72335742	C₂	1	2	yes	maximal, complemented
5	#72330490	C₂	1	4	yes	maximal, complemented
6	#72330475	C₂	1	4	yes	maximal, complemented
7	#72299585	C₂	1	4	yes	maximal, complemented
8	#72298516	C₂	1	1	yes	maximal, characteristic, complemented
9	#72298486	C₂	1	2	yes	maximal, complemented
10	#72298443	C₂	1	2	yes	maximal, complemented
11	#72298178	C₂	1	8	yes	maximal, complemented
12	#72278228	C₂	1	4	yes	maximal, complemented
13	#72278149	C₂	1	8	yes	maximal, complemented
14	C₂³×#2433	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#1418385	C₂	1	2	yes	maximal, complemented
16	#72252084	C₂	1	4	yes	maximal, complemented
17	C₂²×#59126	C₂	1	1	yes	maximal, characteristic, complemented
18	#72233926	C₂	1	4	yes	maximal, complemented
19	C₂×#612424	C₂	1	2	yes	maximal, complemented
20	C₂×#647656	C₂	1	4	yes	maximal, complemented
21	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
22	C₂³×D₄²	C₂²	1	4	yes	complemented
23	C₂³×D₄²	C₂²	1	1	yes	characteristic, complemented
24	C₂⁴×#127	C₂²	1	1	yes	characteristic
25	C₂⁴×#127	C₂²	1	1	yes	characteristic, complemented
26	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
27	C₂⁴×#120	C₂²	1	4	yes	complemented
28	C₂⁴×#120	C₂²	1	2	yes	complemented
29	C₂²×#2669	C₂²	1	2	yes	complemented
30	C₂²×#2669	C₂²	1	2	yes	complemented
31	C₂²×#2846	C₂²	1	4	yes	complemented
32	C₂²×#2541	C₂²	1	2	yes	complemented
33	C₂²×#2428	C₂²	1	4	yes	complemented
34	C₂²×#2433	C₂²	1	2	yes	—
35	C₂²×#2433	C₂²	1	2	yes	complemented
36	C₂²×#2433	C₂²	1	8	yes	complemented
37	C₂²×#2433	C₂²	1	2	yes	complemented
38	C₂²×#2433	C₂²	1	2	yes	complemented
39	C₂²×#2433	C₂²	1	4	yes	complemented
40	C₂²×#2408	C₂²	1	4	yes	complemented
41	C₂²×#2403	C₂²	1	2	yes	—
42	C₂²×#2403	C₂²	1	2	yes	complemented
43	C₂²×#2403	C₂²	1	2	yes	complemented
44	C₂²×#2403	C₂²	1	4	yes	complemented
45	C₂²×#2403	C₂²	1	8	yes	complemented
46	C₂²×#2403	C₂²	1	4	yes	complemented
47	C₂²×#2403	C₂²	1	2	yes	complemented
48	C₂²×#2403	C₂²	1	4	yes	complemented
49	C₂³×#392	C₂²	1	4	yes	complemented
50	C₂²×#2366	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₄×#121	C₂²	1	2	yes	complemented
52	C₂³×#390	C₂²	1	1	yes	characteristic, complemented
53	C₂³×#390	C₂²	1	1	yes	characteristic, complemented
54	C₂³×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
55	C₂×#15947	C₂²	1	8	yes	complemented
56	C₂×#15273	C₂²	1	8	yes	complemented
57	C₂×#15258	C₂²	1	8	yes	complemented
58	C₂×#15258	C₂²	1	4	yes	complemented
59	C₂×#15258	C₂²	1	4	yes	complemented
60	C₂×#15257	C₂²	1	8	yes	complemented
61	C₂×#15257	C₂²	1	8	yes	complemented
62	C₂×#15257	C₂²	1	8	yes	complemented
63	C₂×#15257	C₂²	1	8	yes	complemented
64	C₂×#15257	C₂²	1	4	yes	complemented
65	C₂×#15257	C₂²	1	4	yes	complemented
66	C₂×#14811	C₂²	1	4	yes	complemented
67	C₂×#14716	C₂²	1	2	yes	—
68	C₂×#14716	C₂²	1	8	yes	complemented
69	C₂×#14716	C₂²	1	4	yes	complemented
70	C₂×#14715	C₂²	1	8	yes	complemented
71	C₂×#14715	C₂²	1	4	yes	complemented
72	C₂×#14715	C₂²	1	4	yes	complemented
73	C₂×#14715	C₂²	1	8	yes	complemented
74	C₂×#14715	C₂²	1	4	yes	complemented
75	C₂×#14715	C₂²	1	8	yes	complemented
76	C₂×#14715	C₂²	1	4	yes	complemented
77	C₂×#14715	C₂²	1	4	yes	complemented
78	C₂×#14715	C₂²	1	8	yes	complemented
79	C₂×#14694	C₂²	1	4	yes	complemented
80	C₂×#14679	C₂²	1	2	yes	complemented
81	C₂×#14419	C₂²	1	2	yes	complemented
82	C₂×#14419	C₂²	1	2	yes	complemented
83	C₂×#14357	C₂²	1	4	yes	complemented
84	C₂×#14175	C₂²	1	4	yes	complemented
85	C₂×#14134	C₂²	1	4	yes	complemented
86	C₂×#13967	C₂²	1	4	yes	complemented
87	C₂×#13967	C₂²	1	8	yes	complemented
88	C₂×#13967	C₂²	1	4	yes	complemented
89	C₂×#13967	C₂²	1	4	yes	complemented
90	C₂×#13867	C₂²	1	2	yes	complemented
91	C₂×#13867	C₂²	1	4	yes	complemented
92	C₂×#13867	C₂²	1	4	yes	complemented
93	C₂×#13867	C₂²	1	2	yes	complemented
94	C₂×#13867	C₂²	1	4	yes	complemented
95	C₂×#13867	C₂²	1	4	yes	complemented
96	C₂×#13867	C₂²	1	2	yes	complemented
97	#158830	C₂²	1	8	yes	complemented
98	#158818	C₂²	1	8	yes	complemented
99	#158479	C₂²	1	4	yes	complemented
100	#158361	C₂²	1	4	yes	complemented
101	#158314	C₂²	1	8	yes	complemented
102	#158314	C₂²	1	8	yes	complemented
103	#158314	C₂²	1	8	yes	complemented
104	#157599	C₂²	1	8	yes	complemented
105	#157077	C₂²	1	8	yes	complemented
106	#156800	C₂²	1	8	yes	complemented
107	#156709	C₂²	1	8	yes	complemented
108	#156706	C₂²	1	8	yes	complemented
109	#156706	C₂²	1	8	yes	complemented
110	#156706	C₂²	1	8	yes	complemented
111	#156706	C₂²	1	8	yes	complemented
112	#156706	C₂²	1	8	yes	complemented
113	#156706	C₂²	1	8	yes	complemented
114	#156688	C₂²	1	8	yes	complemented
115	#156688	C₂²	1	8	yes	complemented
116	#156684	C₂²	1	8	yes	complemented
117	#156684	C₂²	1	8	yes	complemented
118	#156684	C₂²	1	8	yes	complemented
119	#156684	C₂²	1	8	yes	complemented
120	#156379	C₂²	1	8	yes	complemented
121	#155653	C₂²	1	2	yes	complemented
122	#155653	C₂²	1	2	yes	complemented
123	#155066	C₂²	1	8	yes	complemented
124	#155066	C₂²	1	8	yes	complemented
125	#154763	C₂²	1	4	yes	complemented
126	#154763	C₂²	1	4	yes	complemented
127	#154763	C₂²	1	8	yes	complemented
128	#154746	C₂²	1	4	yes	complemented
129	#154674	C₂²	1	4	yes	complemented
130	#154674	C₂²	1	4	yes	complemented
131	#154671	C₂²	1	8	yes	complemented
132	#154671	C₂²	1	8	yes	complemented
133	#154671	C₂²	1	4	yes	complemented
134	#154635	C₂²	1	4	yes	complemented
135	#154635	C₂²	1	8	yes	complemented
136	#154634	C₂²	1	8	yes	complemented
137	#154486	C₂²	1	8	yes	complemented
138	#154450	C₂²	1	4	yes	complemented
139	#154268	C₂²	1	4	yes	complemented
140	#154255	C₂²	1	2	yes	complemented
141	#154248	C₂²	1	4	yes	complemented
142	#154213	C₂²	1	2	yes	complemented
143	#154200	C₂²	1	4	yes	complemented
144	#154195	C₂²	1	4	yes	complemented
145	#154195	C₂²	1	4	yes	complemented
146	#154096	C₂²	1	2	yes	complemented
147	#154095	C₂²	1	2	yes	complemented
148	#154095	C₂²	1	4	yes	complemented
149	#154094	C₂²	1	2	yes	complemented
150	#154094	C₂²	1	4	yes	complemented
151	#154094	C₂²	1	2	yes	complemented
152	#154094	C₂²	1	4	yes	complemented
153	#154088	C₂²	1	4	yes	complemented
154	#154078	C₂²	1	2	yes	complemented
155	#154037	C₂²	1	4	yes	complemented
156	#153879	C₂²	1	4	yes	complemented
157	#153827	C₂²	1	4	yes	complemented
158	#153793	C₂²	1	8	yes	complemented
159	C₂⁸	C₂³	1	2	yes	—
160	C₂⁵×D₄	C₂³	1	1	yes	characteristic
161	C₂⁵×D₄	C₂³	1	2	yes	—
162	C₂⁵×D₄	C₂³	1	4	yes	—
163	C₂⁵×D₄	C₂³	1	2	yes	—
164	C₂⁵×D₄	C₂³	1	2	yes	—
165	C₂⁵×D₄	C₂³	1	2	yes	—
166	C₂⁵×D₄	C₂³	1	2	yes	—
167	C₂⁵×D₄	C₂³	1	4	yes	—
168	C₂⁵×D₄	C₂³	1	2	yes	—
169	C₂⁵×D₄	C₂³	1	4	yes	—
170	C₂⁵×D₄	C₂³	1	1	yes	characteristic
171	C₂⁵×D₄	C₂³	1	4	yes	—
172	C₂⁵×D₄	C₂³	1	1	yes	characteristic
173	C₂⁵×D₄	C₂³	1	4	yes	complemented
174	C₂⁶×C₄	C₂³	1	1	yes	characteristic
175	C₂³×#127	D₄	1	16	yes	complemented
176	C₂³×#127	C₂³	1	1	yes	characteristic
177	C₂³×#127	C₂³	1	4	yes	—
178	C₂³×#127	C₂³	1	1	yes	characteristic
179	C₂³×#127	C₂³	1	1	yes	characteristic
180	C₂³×#127	C₂³	1	4	yes	—
181	C₂³×#127	C₂³	1	1	yes	characteristic
182	C₂³×#127	C₂³	1	2	yes	—
183	C₂³×#127	C₂³	1	2	yes	—
184	C₂³×#127	C₂³	1	4	yes	complemented
185	C₂³×#121	C₂³	1	2	yes	—
186	C₂³×#121	C₂³	1	4	yes	—
187	C₂³×#121	C₂³	1	2	yes	—
188	C₂³×#121	C₂³	1	2	yes	—
189	C₂³×#121	C₂³	1	4	yes	complemented
190	C₂³×#121	C₂³	1	4	yes	complemented
191	C₂³×#121	C₂³	1	4	yes	complemented
192	C₂³×#121	C₂³	1	4	yes	complemented
193	C₂³×#121	C₂³	1	4	yes	complemented
194	C₂³×#120	C₂³	1	2	yes	—
195	C₂³×#120	C₂³	1	8	yes	—
196	C₂³×#120	C₂³	1	4	yes	—
197	C₂³×#120	C₂³	1	4	yes	—
198	C₂³×#120	C₂³	1	8	yes	—
199	C₂³×#120	C₂³	1	8	yes	—
200	C₂³×#120	C₂³	1	4	yes	—
201	C₂³×#120	C₂³	1	4	yes	—
202	C₂³×#120	C₂³	1	8	yes	—
203	C₂³×#120	C₂³	1	4	yes	—
204	C₂³×#120	C₂³	1	8	yes	—
205	C₂³×#120	C₂³	1	4	yes	—
206	C₂³×#120	C₂³	1	8	yes	—
207	C₂³×#120	C₂³	1	4	yes	—
208	C₂³×#120	C₂³	1	8	yes	—
209	C₂³×#120	C₂³	1	2	yes	—
210	C₂³×#120	C₂³	1	2	yes	complemented
211	C₂³×#120	C₂³	1	4	yes	complemented
212	C₂³×#120	C₂³	1	4	yes	complemented
213	C₂³×#120	C₂³	1	2	yes	complemented
214	C₂³×#120	C₂³	1	8	yes	complemented
215	C₂³×C₄×D₄	C₂³	1	4	yes	—
216	C₂³×C₄×D₄	C₂³	1	2	yes	complemented
217	C₂³×C₄×D₄	C₂³	1	4	yes	complemented
218	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
221	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
222	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
225	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
226	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
227	C₂×#2433	D₄	1	32	yes	complemented
228	C₂×#2403	D₄	1	32	yes	complemented
229	C₂²×#394	C₂³	1	4	yes	complemented
230	C₂²×#394	C₂³	1	4	yes	complemented
231	C₂²×#392	C₂³	1	8	yes	—
232	C₂²×#392	C₂³	1	8	yes	—
233	C₂²×#392	C₂³	1	8	yes	—
234	C₂²×#392	C₂³	1	8	yes	—
235	C₂²×#392	C₂³	1	8	yes	—
236	C₂²×#392	C₂³	1	8	yes	—
237	C₂²×#392	C₂³	1	8	yes	—
238	C₂²×#392	C₂³	1	8	yes	—
239	C₂²×#392	C₂³	1	8	yes	—
240	C₂²×#392	C₂³	1	4	yes	—
241	C₂²×#392	C₂³	1	4	yes	—
242	C₂²×#392	C₂³	1	4	yes	—
243	C₂²×#392	C₂³	1	8	yes	—
244	C₂²×#392	C₂³	1	8	yes	—
245	C₂²×#392	C₂³	1	8	yes	—
246	C₂²×#392	C₂³	1	4	yes	complemented
247	C₂²×#392	C₂³	1	4	yes	complemented
248	C₂²×#392	C₂³	1	4	yes	complemented
249	C₂²×#392	C₂³	1	4	yes	complemented
250	C₂²×#392	C₂³	1	8	yes	complemented
251	C₂²×#392	C₂³	1	8	yes	complemented
252	C₂²×#392	C₂³	1	8	yes	complemented
253	C₂²×#392	C₂³	1	8	yes	complemented
254	C₂²×#392	C₂³	1	8	yes	complemented
255	C₂²×#392	C₂³	1	8	yes	complemented
256	C₂²×#392	C₂³	1	8	yes	complemented
257	C₂²×#390	C₂³	1	4	yes	—
258	C₂²×#390	C₂³	1	4	yes	—
259	C₂²×#390	C₂³	1	2	yes	—
260	C₂²×#390	C₂³	1	2	yes	—
261	C₂²×#390	C₂³	1	2	yes	—
262	C₂²×#390	C₂³	1	2	yes	—
263	C₂²×#390	C₂³	1	2	yes	complemented
264	C₂²×#390	C₂³	1	4	yes	complemented
265	C₂²×#390	C₂³	1	4	yes	complemented
266	C₂²×#389	C₂³	1	2	yes	complemented
267	C₂²×#388	C₂³	1	4	yes	complemented
268	C₂²×#386	C₂³	1	8	yes	—
269	C₂²×#386	C₂³	1	4	yes	—
270	C₂²×#386	C₂³	1	8	yes	—
271	C₂²×#386	C₂³	1	4	yes	—
272	C₂²×#386	C₂³	1	4	yes	—
273	C₂²×#386	C₂³	1	8	yes	—
274	C₂²×#386	C₂³	1	4	yes	—
275	C₂²×#386	C₂³	1	4	yes	—
276	C₂²×#386	C₂³	1	4	yes	—
277	C₂²×#386	C₂³	1	2	yes	—
278	C₂²×#386	C₂³	1	4	yes	—
279	C₂²×#386	C₂³	1	2	yes	—
280	C₂²×#386	C₂³	1	4	yes	—
281	C₂²×#386	C₂³	1	4	yes	—
282	C₂²×#386	C₂³	1	4	yes	—
283	C₂²×#386	C₂³	1	4	yes	—
284	C₂²×#386	C₂³	1	4	yes	—
285	C₂²×#386	C₂³	1	2	yes	complemented
286	C₂²×#386	C₂³	1	2	yes	complemented
287	C₂²×#386	C₂³	1	8	yes	complemented
288	C₂²×#386	C₂³	1	8	yes	complemented
289	C₂²×#386	C₂³	1	8	yes	complemented
290	C₂²×#386	C₂³	1	8	yes	complemented
291	C₂²×#386	C₂³	1	8	yes	complemented
292	C₂²×#386	C₂³	1	8	yes	complemented
293	C₂²×#380	C₂³	1	2	yes	—
294	C₂²×#379	C₂³	1	2	yes	—
295	C₂²×#379	C₂³	1	4	yes	—
296	C₂²×#379	C₂³	1	8	yes	—
297	C₂²×#379	C₂³	1	8	yes	—
298	C₂²×#379	C₂³	1	2	yes	—
299	C₂²×#379	C₂³	1	4	yes	—
300	C₂²×#379	C₂³	1	4	yes	—
301	C₂²×#379	C₂³	1	4	yes	—
302	C₂²×#379	C₂³	1	2	yes	—
303	C₂²×#379	C₂³	1	4	yes	—
304	C₂²×#379	C₂³	1	2	yes	—
305	C₂²×#379	C₂³	1	4	yes	—
306	C₂²×#379	C₂³	1	4	yes	—
307	C₂²×#379	C₂³	1	8	yes	—
308	C₂²×#379	C₂³	1	2	yes	—
309	C₂²×#379	C₂³	1	8	yes	complemented
310	C₂²×#379	C₂³	1	4	yes	complemented
311	C₂²×C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
312	C₂²×C₄×C₂²⋊C₄	C₂³	1	4	yes	—
313	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
316	C₂³×#95	C₂³	1	2	yes	—
317	#14716	D₄	1	32	yes	complemented
318	C₂×#1442	C₂³	1	4	yes	complemented
319	C₂×#1440	C₂³	1	8	yes	complemented
320	C₂×#1440	C₂³	1	8	yes	complemented
321	C₂×#1440	C₂³	1	4	yes	complemented
322	C₂×#1440	C₂³	1	8	yes	complemented
323	C₂×#1440	C₂³	1	4	yes	complemented
324	C₂×#1439	C₂³	1	4	yes	—
325	C₂×#1439	C₂³	1	4	yes	—
326	C₂×#1439	C₂³	1	8	yes	—
327	C₂×#1439	C₂³	1	4	yes	—
328	C₂×#1439	C₂³	1	8	yes	complemented
329	C₂×#1439	C₂³	1	8	yes	complemented
330	C₂×#1439	C₂³	1	8	yes	complemented
331	C₂×#1439	C₂³	1	8	yes	complemented
332	C₂×#1439	C₂³	1	8	yes	complemented
333	C₂×#1439	C₂³	1	8	yes	complemented
334	C₂×#1439	C₂³	1	8	yes	complemented
335	C₂×#1438	C₂³	1	4	yes	—
336	C₂×#1438	C₂³	1	8	yes	—
337	C₂×#1438	C₂³	1	8	yes	—
338	C₂×#1438	C₂³	1	8	yes	—
339	C₂×#1438	C₂³	1	4	yes	—
340	C₂×#1438	C₂³	1	8	yes	—
341	C₂×#1438	C₂³	1	8	yes	—
342	C₂×#1438	C₂³	1	8	yes	—
343	C₂×#1438	C₂³	1	8	yes	—
344	C₂×#1438	C₂³	1	4	yes	—
345	C₂×#1438	C₂³	1	8	yes	—
346	C₂×#1438	C₂³	1	4	yes	—
347	C₂×#1438	C₂³	1	8	yes	—
348	C₂×#1438	C₂³	1	8	yes	—
349	C₂×#1438	C₂³	1	8	yes	complemented
350	C₂×#1438	C₂³	1	4	yes	complemented
351	C₂×#1438	C₂³	1	8	yes	complemented
352	C₂×#1438	C₂³	1	8	yes	complemented
353	C₂×#1438	C₂³	1	8	yes	complemented
354	C₂×#1438	C₂³	1	8	yes	complemented
355	C₂×#1438	C₂³	1	4	yes	complemented
356	C₂×#1438	C₂³	1	8	yes	complemented
357	C₂×#1438	C₂³	1	8	yes	complemented
358	C₂×#1438	C₂³	1	8	yes	complemented
359	C₂×#1438	C₂³	1	8	yes	complemented
360	C₂×#1438	C₂³	1	8	yes	complemented
361	C₂×#1438	C₂³	1	8	yes	complemented
362	C₂×#1438	C₂³	1	8	yes	complemented
363	C₂×#1438	C₂³	1	8	yes	complemented
364	C₂×#1438	C₂³	1	8	yes	complemented
365	C₂×#1438	C₂³	1	8	yes	complemented
366	C₂×#1438	C₂³	1	4	yes	complemented
367	C₂×#1438	C₂³	1	8	yes	complemented
368	C₂×#1438	C₂³	1	8	yes	complemented
369	C₂×#1438	C₂³	1	8	yes	complemented
370	C₂×#1438	C₂³	1	8	yes	complemented
371	C₂×#1438	C₂³	1	8	yes	complemented
372	C₂×#1438	C₂³	1	8	yes	complemented
373	C₂×#1438	C₂³	1	8	yes	complemented
374	C₂×#1438	C₂³	1	8	yes	complemented
375	C₂×#1438	C₂³	1	4	yes	complemented
376	C₂×#1438	C₂³	1	4	yes	complemented
377	C₂×#1438	C₂³	1	8	yes	complemented
378	C₂×#1438	C₂³	1	8	yes	complemented
379	C₂×#1438	C₂³	1	8	yes	complemented
380	C₂×#1437	C₂³	1	8	yes	—
381	C₂×#1437	C₂³	1	8	yes	complemented
382	C₂×#1437	C₂³	1	8	yes	complemented
383	C₂×#1437	C₂³	1	8	yes	complemented
384	C₂×#1437	C₂³	1	8	yes	complemented
385	C₂×#1434	C₂³	1	4	yes	complemented
386	C₂×#1434	C₂³	1	4	yes	complemented
387	C₂×C₂²⋊#95	C₂³	1	4	yes	—
388	C₂×C₂²⋊#95	C₂³	1	4	yes	—
389	C₂×C₂²⋊#95	C₂³	1	8	yes	—
390	C₂×C₂²⋊#95	C₂³	1	8	yes	—
391	C₂×C₂²⋊#95	C₂³	1	4	yes	—
392	C₂×C₂²⋊#95	C₂³	1	4	yes	—
393	C₂×C₂²⋊#95	C₂³	1	2	yes	—
394	C₂×C₂²⋊#95	C₂³	1	4	yes	—
395	C₂×C₂²⋊#95	C₂³	1	4	yes	—
396	C₂×C₂²⋊#95	C₂³	1	4	yes	—
397	C₂×C₂²⋊#95	C₂³	1	2	yes	—
398	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
399	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
400	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
401	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
402	#7557	C₂³	1	4	yes	complemented
403	#7557	C₂³	1	8	yes	complemented
404	#7557	C₂³	1	4	yes	complemented
405	#7557	C₂³	1	8	yes	complemented
406	#7557	C₂³	1	8	yes	complemented
407	#7556	C₂³	1	8	yes	complemented
408	#7555	C₂³	1	8	yes	—
409	#7555	C₂³	1	8	yes	complemented
410	#7555	C₂³	1	8	yes	complemented
411	#7555	C₂³	1	8	yes	complemented
412	#7555	C₂³	1	8	yes	complemented
413	#7555	C₂³	1	8	yes	complemented
414	#7555	C₂³	1	8	yes	complemented
415	#7555	C₂³	1	8	yes	complemented
416	#7555	C₂³	1	8	yes	complemented
417	#7555	C₂³	1	8	yes	complemented
418	#7555	C₂³	1	8	yes	complemented
419	#7555	C₂³	1	8	yes	complemented
420	#7554	C₂³	1	8	yes	complemented
421	#7554	C₂³	1	4	yes	complemented
422	#7554	C₂³	1	4	yes	complemented
423	#7554	C₂³	1	8	yes	complemented
424	#7554	C₂³	1	8	yes	complemented
425	C₂⁷	C₂⁴	1	1	yes	characteristic
426	C₂⁷	C₂⁴	1	2	yes	—
427	C₂⁷	C₂⁴	1	2	yes	—
428	C₂⁷	C₂⁴	1	2	yes	—
429	C₂⁷	C₂⁴	1	4	yes	—
430	C₂⁷	C₂⁴	1	4	yes	—
431	C₂⁷	C₂⁴	1	2	yes	—
432	C₂⁷	C₂⁴	1	2	yes	—
433	C₂⁴×D₄	C₂×D₄	1	16	yes	—
434	C₂⁴×D₄	C₂×D₄	1	8	yes	—
435	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
436	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
437	C₂⁴×D₄	C₂×D₄	1	32	yes	complemented
438	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
439	C₂⁴×D₄	C₂⁴	1	4	yes	—
440	C₂⁴×D₄	C₂⁴	1	2	yes	—
441	C₂⁴×D₄	C₂⁴	1	4	yes	—
442	C₂⁴×D₄	C₂⁴	1	2	yes	—
443	C₂⁴×D₄	C₂⁴	1	2	yes	—
444	C₂⁴×D₄	C₂⁴	1	4	yes	—
445	C₂⁴×D₄	C₂⁴	1	4	yes	—
446	C₂⁴×D₄	C₂⁴	1	4	yes	—
447	C₂⁴×D₄	C₂⁴	1	8	yes	—
448	C₂⁴×D₄	C₂⁴	1	4	yes	—
449	C₂⁴×D₄	C₂⁴	1	2	yes	—
450	C₂⁴×D₄	C₂⁴	1	4	yes	—
451	C₂⁴×D₄	C₂⁴	1	4	yes	—
452	C₂⁴×D₄	C₂⁴	1	2	yes	—
453	C₂⁴×D₄	C₂⁴	1	4	yes	—
454	C₂⁴×D₄	C₂⁴	1	8	yes	—
455	C₂⁴×D₄	C₂⁴	1	8	yes	—
456	C₂⁴×D₄	C₂⁴	1	4	yes	—
457	C₂⁴×D₄	C₂⁴	1	4	yes	—
458	C₂⁴×D₄	C₂⁴	1	8	yes	—
459	C₂⁴×D₄	C₂⁴	1	4	yes	—
460	C₂⁴×D₄	C₂⁴	1	4	yes	—
461	C₂⁴×D₄	C₂⁴	1	8	yes	—
462	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
463	C₂⁴×D₄	C₂⁴	1	4	yes	—
464	C₂⁴×D₄	C₂⁴	1	4	yes	—
465	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
466	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
467	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
468	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
469	C₂⁵×C₄	C₂⁴	1	2	yes	—
470	C₂⁵×C₄	C₂⁴	1	2	yes	—
471	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
472	C₂⁵×C₄	C₂⁴	1	2	yes	—
473	C₂⁵×C₄	C₂⁴	1	2	yes	—
474	C₂⁵×C₄	C₂⁴	1	4	yes	—
475	C₂⁵×C₄	C₂⁴	1	2	yes	—
476	C₂⁵×C₄	C₂⁴	1	2	yes	—
477	C₂⁵×C₄	C₂⁴	1	2	yes	—
478	C₂⁵×C₄	C₂⁴	1	4	yes	—
479	C₂²×#127	C₂×D₄	1	8	yes	—
480	C₂²×#127	C₂×D₄	1	16	yes	—
481	C₂²×#127	C₂×D₄	1	8	yes	—
482	C₂²×#127	C₂×D₄	1	8	yes	complemented
483	C₂²×#127	C₂×D₄	1	32	yes	complemented
484	C₂²×#127	C₂×D₄	1	8	yes	complemented
485	C₂²×#127	C₂×D₄	1	16	yes	complemented
486	C₂²×#121	C₂×D₄	1	16	yes	complemented
487	C₂²×#121	C₂×D₄	1	16	yes	complemented
488	C₂²×#120	C₂×D₄	1	32	yes	—
489	C₂²×#120	C₂×D₄	1	16	yes	complemented
490	C₂²×#120	C₂×D₄	1	32	yes	complemented
491	C₂²×#120	C₂×D₄	1	64	yes	complemented
492	C₂²×#120	C₂×D₄	1	16	yes	complemented
493	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
494	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
495	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
496	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
497	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
498	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
499	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
500	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
501	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
502	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
503	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
504	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
505	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
506	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
507	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
508	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
509	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
511	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
512	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
513	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
514	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
515	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
517	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
521	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
522	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
523	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
524	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
526	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
527	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
528	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
529	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
530	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
531	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
532	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
533	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
534	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
535	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
536	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
537	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
538	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
539	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
540	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
541	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
542	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
543	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
544	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
545	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
546	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
547	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
548	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
549	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
550	C₂³×C₄²	C₂×D₄	1	8	yes	complemented
551	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
552	C₂³×C₄²	C₂⁴	1	2	yes	—
553	C₂³×C₄²	C₂⁴	1	4	yes	—
554	C₂³×C₄²	C₂⁴	1	2	yes	—
555	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
556	C₂³×C₄²	C₂⁴	1	2	yes	—
557	C₂×#392	C₂×D₄	1	32	yes	complemented
558	C₂×#392	C₂×D₄	1	32	yes	complemented
559	C₂×#392	C₂×D₄	1	64	yes	complemented
560	C₂×#392	C₂×D₄	1	32	yes	complemented
561	C₂×#390	C₂×D₄	1	16	yes	complemented
562	C₂×#390	C₂×D₄	1	16	yes	complemented
563	C₂×#386	C₂×D₄	1	16	yes	complemented
564	C₂×#386	C₂×D₄	1	16	yes	complemented
565	C₂×#386	C₂×D₄	1	32	yes	complemented
566	C₂×#386	C₂×D₄	1	32	yes	complemented
567	C₂×#379	C₂×D₄	1	16	yes	complemented
568	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
569	C₂²×#95	C₂⁴	1	8	yes	—
570	C₂²×#95	C₂⁴	1	8	yes	—
571	C₂²×#95	C₂⁴	1	4	yes	—
572	C₂²×#95	C₂⁴	1	8	yes	—
573	C₂²×#95	C₂⁴	1	8	yes	—
574	C₂²×#95	C₂⁴	1	4	yes	—
575	C₂²×#95	C₂⁴	1	4	yes	—
576	C₂²×#95	C₂⁴	1	8	yes	—
577	C₂²×#95	C₂⁴	1	8	yes	—
578	C₂²×#95	C₂⁴	1	8	yes	—
579	C₂²×#95	C₂⁴	1	8	yes	—
580	C₂²×#95	C₂⁴	1	8	yes	—
581	C₂²×#95	C₂⁴	1	8	yes	—
582	C₂²×#95	C₂⁴	1	4	yes	—
583	C₂²×#95	C₂⁴	1	4	yes	—
584	C₂²×#95	C₂⁴	1	4	yes	—
585	C₂²×#95	C₂⁴	1	4	yes	—
586	C₂²×#95	C₂⁴	1	8	yes	—
587	C₂²×#95	C₂⁴	1	8	yes	—
588	C₂²×#95	C₂⁴	1	8	yes	—
589	C₂²×#95	C₂⁴	1	8	yes	—
590	C₂²×#95	C₂⁴	1	8	yes	—
591	C₂²×#95	C₂⁴	1	4	yes	—
592	C₂²×#95	C₂⁴	1	8	yes	—
593	C₂²×#95	C₂⁴	1	8	yes	—
594	C₂²×#95	C₂⁴	1	8	yes	—
595	C₂²×#95	C₂⁴	1	4	yes	—
596	C₂²×#95	C₂⁴	1	8	yes	—
597	#1439	C₂×D₄	1	32	yes	complemented
598	#1438	C₂×D₄	1	64	yes	complemented
599	C₂²⋊#95	C₂×D₄	1	16	yes	complemented
600	C₂⁶	C₂²×D₄	1	8	yes	—
601	C₂⁶	C₂²×D₄	1	8	yes	—
602	C₂⁶	C₂²×D₄	1	8	yes	—
603	C₂⁶	C₂²×D₄	1	8	yes	—
604	C₂⁶	C₂²×D₄	1	8	yes	—
605	C₂⁶	C₂²×D₄	1	16	yes	—
606	C₂⁶	C₂²×D₄	1	8	yes	—
607	C₂⁶	H(5,𝔽₂)	1	4	yes	—
608	C₂⁶	H(5,𝔽₂)	1	8	yes	—
609	C₂⁶	C₂⁵	1	2	yes	—
610	C₂⁶	C₂⁵	1	2	yes	—
611	C₂⁶	C₂⁵	1	2	yes	—
612	C₂⁶	C₂⁵	1	4	yes	—
613	C₂⁶	C₂⁵	1	4	yes	—
614	C₂⁶	C₂⁵	1	2	yes	—
615	C₂⁶	C₂⁵	1	2	yes	—
616	C₂⁶	C₂⁵	1	1	yes	characteristic
617	C₂³×D₄	#120	1	64	yes	complemented
618	C₂³×D₄	C₂²×D₄	1	16	yes	—
619	C₂³×D₄	C₂²×D₄	1	16	yes	—
620	C₂³×D₄	C₂²×D₄	1	16	yes	—
621	C₂³×D₄	C₂²×D₄	1	8	yes	—
622	C₂³×D₄	C₂²×D₄	1	32	yes	—
623	C₂³×D₄	C₂²×D₄	1	16	yes	—
624	C₂³×D₄	C₂²×D₄	1	16	yes	—
625	C₂³×D₄	C₂²×D₄	1	16	yes	—
626	C₂³×D₄	C₂²×D₄	1	16	yes	—
627	C₂³×D₄	C₂²×D₄	1	8	yes	—
628	C₂³×D₄	C₂²×D₄	1	8	yes	—
629	C₂³×D₄	C₂²×D₄	1	8	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	32	yes	—
634	C₂³×D₄	C₂²×D₄	1	4	yes	—
635	C₂³×D₄	C₂²×D₄	1	16	yes	—
636	C₂³×D₄	C₂²×D₄	1	16	yes	—
637	C₂³×D₄	C₂²×D₄	1	16	yes	—
638	C₂³×D₄	C₂²×D₄	1	4	yes	—
639	C₂³×D₄	C₂²×D₄	1	8	yes	—
640	C₂³×D₄	C₂²×D₄	1	8	yes	—
641	C₂³×D₄	C₂²×D₄	1	4	yes	—
642	C₂³×D₄	C₂²×D₄	1	4	yes	—
643	C₂³×D₄	C₂²×D₄	1	8	yes	—
644	C₂³×D₄	C₂²×D₄	1	8	yes	—
645	C₂³×D₄	C₂²×D₄	1	8	yes	complemented
646	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
647	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
648	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
649	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
650	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
651	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
652	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
653	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
654	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
655	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
656	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
657	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
658	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
659	C₂⁴×C₄	C₂⁵	1	8	yes	—
660	C₂⁴×C₄	C₂⁵	1	4	yes	—
661	C₂⁴×C₄	C₂⁵	1	4	yes	—
662	C₂⁴×C₄	C₂⁵	1	8	yes	—
663	C₂⁴×C₄	C₂⁵	1	4	yes	—
664	C₂⁴×C₄	C₂⁵	1	4	yes	—
665	C₂⁴×C₄	C₂⁵	1	2	yes	—
666	C₂⁴×C₄	C₂⁵	1	4	yes	—
667	C₂⁴×C₄	C₂⁵	1	2	yes	—
668	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
669	C₂⁴×C₄	C₂⁵	1	2	yes	—
670	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
671	C₂×#127	#120	1	64	yes	complemented
672	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
673	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
674	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
675	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
676	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
677	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
678	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
679	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
680	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
681	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
682	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
683	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
684	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
685	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
686	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
687	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
688	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
689	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
690	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
691	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
692	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	16	yes	—
693	C₂²×C₄²	C₂²×D₄	1	4	yes	—
694	C₂²×C₄²	C₂²×D₄	1	8	yes	—
695	C₂²×C₄²	C₂²×D₄	1	8	yes	—
696	C₂²×C₄²	C₂²×D₄	1	4	yes	—
697	C₂²×C₄²	C₂²×D₄	1	8	yes	—
698	C₂×#95	C₂²×D₄	1	16	yes	—
699	C₂×#95	C₂²×D₄	1	16	yes	—
700	C₂×#95	C₂²×D₄	1	16	yes	—
701	C₂×#95	C₂²×D₄	1	16	yes	complemented
702	C₂×#95	C₂²×D₄	1	32	yes	complemented
703	C₂×#95	C₂²×D₄	1	16	yes	complemented
704	C₂⁵	C₂×#120	1	32	yes	—
705	C₂⁵	D₄²	1	16	yes	complemented
706	C₂⁵	C₂³×D₄	1	4	yes	—
707	C₂⁵	C₂³×D₄	1	4	yes	—
708	C₂⁵	C₂³×D₄	1	4	yes	—
709	C₂⁵	C₂³×D₄	1	4	yes	—
710	C₂⁵	C₂³×D₄	1	8	yes	—
711	C₂⁵	C₂³×D₄	1	4	yes	—
712	C₂⁵	C₂³×D₄	1	8	yes	—
713	C₂⁵	C₂³×D₄	1	8	yes	—
714	C₂⁵	C₂³×D₄	1	8	yes	—
715	C₂⁵	C₂³×D₄	1	4	yes	—
716	C₂⁵	C₂³×D₄	1	4	yes	—
717	C₂⁵	C₂³×D₄	1	8	yes	—
718	C₂⁵	C₂³×D₄	1	4	yes	—
719	C₂⁵	C₂³×D₄	1	4	yes	—
720	C₂⁵	C₂³×D₄	1	8	yes	—
721	C₂⁵	C₂³×D₄	1	4	yes	—
722	C₂⁵	C₂³×D₄	1	2	yes	—
723	C₂⁵	C₂³×D₄	1	4	yes	—
724	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
725	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
726	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
727	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
728	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
729	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
730	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
731	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
732	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
733	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
734	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
735	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
736	C₂⁵	C₂⁶	1	1	yes	characteristic
737	C₂²×D₄	C₂×#120	1	32	yes	—
738	C₂²×D₄	C₂×#120	1	16	yes	—
739	C₂²×D₄	C₂×#120	1	16	yes	—
740	C₂²×D₄	C₂×#120	1	16	yes	—
741	C₂²×D₄	C₂×#120	1	64	yes	complemented
742	C₂²×D₄	C₂×#120	1	16	yes	complemented
743	C₂²×D₄	#534	1	16	yes	—
744	C₂²×D₄	D₄²	1	64	yes	—
745	C₂²×D₄	D₄²	1	64	yes	—
746	C₂³×C₄	C₂×#120	1	16	yes	—
747	C₂³×C₄	D₄²	1	32	yes	—
748	C₂³×C₄	C₂³×D₄	1	16	yes	—
749	C₂³×C₄	C₂³×D₄	1	8	yes	—
750	C₂³×C₄	C₂³×D₄	1	8	yes	—
751	C₂³×C₄	C₂³×D₄	1	8	yes	—
752	C₂³×C₄	C₂³×D₄	1	4	yes	—
753	C₂³×C₄	C₂³×D₄	1	8	yes	—
754	C₂³×C₄	C₂³×D₄	1	8	yes	—
755	C₂³×C₄	C₂³×D₄	1	8	yes	—
756	C₂³×C₄	C₂³×D₄	1	4	yes	—
757	C₂³×C₄	C₂³×D₄	1	8	yes	—
758	C₂³×C₄	C₂³×D₄	1	4	yes	—
759	C₂³×C₄	C₂³×D₄	1	2	yes	—
760	C₂³×C₄	C₂³×D₄	1	4	yes	—
761	C₂³×C₄	C₂³×D₄	1	4	yes	—
762	C₂³×C₄	C₂³×D₄	1	4	yes	—
763	C₂³×C₄	C₂³×D₄	1	8	yes	—
764	C₂³×C₄	C₂³×D₄	1	2	yes	—
765	C₂³×C₄	C₂³×D₄	1	4	yes	—
766	C₂³×C₄	C₂³×D₄	1	4	yes	—
767	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
768	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
769	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
770	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
771	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
772	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
773	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
774	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
775	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
776	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
777	C₂×C₂²⋊C₄	D₄²	1	64	yes	complemented
778	C₂×C₄²	C₂×#120	1	16	yes	complemented
779	C₂⁴	C₂²×#120	1	8	yes	—
780	C₂⁴	C₂²×#120	1	8	yes	—
781	C₂⁴	C₂²×#120	1	8	yes	—
782	C₂⁴	C₂²×#120	1	8	yes	—
783	C₂⁴	C₂²×#120	1	4	yes	—
784	C₂⁴	C₂×#534	1	8	yes	—
785	C₂⁴	C₂×D₄²	1	16	yes	—
786	C₂⁴	C₂×D₄²	1	16	yes	—
787	C₂⁴	C₂×D₄²	1	16	yes	—
788	C₂⁴	C₂×D₄²	1	8	yes	—
789	C₂⁴	C₂×D₄²	1	16	yes	—
790	C₂⁴	C₂×D₄²	1	8	yes	—
791	C₂⁴	C₂×D₄²	1	4	yes	—
792	C₂⁴	C₂×D₄²	1	16	yes	—
793	C₂⁴	#3484	1	16	yes	—
794	C₂⁴	#3484	1	8	yes	—
795	C₂⁴	#3484	1	4	yes	—
796	C₂⁴	#3484	1	4	yes	—
797	C₂⁴	#3484	1	8	yes	—
798	C₂⁴	#3484	1	8	yes	—
799	C₂⁴	#3484	1	8	yes	—
800	C₂⁴	#3484	1	16	yes	—
801	C₂⁴	#3484	1	16	yes	—
802	C₂⁴	#3498	1	16	yes	—
803	C₂⁴	#3498	1	8	yes	—
804	C₂⁴	#3532	1	8	yes	—
805	C₂⁴	#3537	1	8	yes	—
806	C₂⁴	#3537	1	16	yes	—
807	C₂⁴	#3543	1	8	yes	—
808	C₂⁴	#3543	1	4	yes	—
809	C₂⁴	C₂⁴×D₄	1	2	yes	—
810	C₂⁴	C₂⁴×D₄	1	2	yes	—
811	C₂⁴	C₂⁴×D₄	1	2	yes	—
812	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
813	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
814	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
815	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
816	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
817	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
818	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
819	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
820	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
821	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
822	C₂⁴	H(7,𝔽₂)	1	4	yes	—
823	C₂×D₄	#2403	1	64	yes	complemented
824	C₂²×C₄	C₂²×#120	1	4	yes	—
825	C₂²×C₄	C₂²×#120	1	4	yes	—
826	C₂²×C₄	C₂²×#120	1	4	yes	—
827	C₂²×C₄	C₂²×#120	1	8	yes	—
828	C₂²×C₄	C₂×#534	1	4	yes	—
829	C₂²×C₄	C₂×D₄²	1	16	yes	—
830	C₂²×C₄	C₂×D₄²	1	16	yes	—
831	C₂²×C₄	C₂×D₄²	1	8	yes	—
832	C₂²×C₄	C₂×D₄²	1	16	yes	—
833	C₂²×C₄	C₂×D₄²	1	16	yes	—
834	C₂²×C₄	C₂×D₄²	1	8	yes	—
835	C₂²×C₄	#3484	1	8	yes	—
836	C₂²×C₄	#3484	1	16	yes	—
837	C₂²×C₄	#3484	1	4	yes	—
838	C₂²×C₄	#3484	1	4	yes	—
839	C₂²×C₄	#3484	1	16	yes	—
840	C₂²×C₄	#3484	1	8	yes	—
841	C₂³	C₂×#2403	1	16	yes	—
842	C₂³	#35346	1	8	yes	—
843	C₂³	D₄×#120	1	16	yes	—
844	C₂³	#43001	1	32	yes	—
845	C₂³	#45355	1	16	yes	—
846	C₂³	#47827	1	16	yes	—
847	C₂³	#52004	1	8	yes	—
848	C₂³	#58990	1	16	yes	—
849	C₂³	#59126	1	8	yes	—
850	C₂³	#59126	1	16	yes	complemented
851	C₂³	C₂³×#120	1	1	yes	characteristic
852	C₂³	C₂³×#120	1	1	yes	characteristic
853	C₂³	C₂²×#534	1	1	yes	characteristic
854	C₂³	C₂²×D₄²	1	4	yes	—
855	C₂³	C₂²×D₄²	1	4	yes	—
856	C₂³	C₂²×D₄²	1	4	yes	—
857	C₂³	C₂²×D₄²	1	1	yes	characteristic
858	C₂³	C₂²×D₄²	1	2	yes	—
859	C₂³	C₂×#3532	1	2	yes	—
860	C₂³	C₂×#3537	1	4	yes	—
861	C₂³	C₂×#3537	1	2	yes	—
862	C₂³	C₂×#3543	1	2	yes	—
863	C₂³	C₂×#3543	1	1	yes	characteristic
864	C₂³	C₂×#3484	1	4	yes	—
865	C₂³	C₂×#3484	1	4	yes	—
866	C₂³	C₂×#3484	1	4	yes	—
867	C₂³	C₂×#3484	1	4	yes	—
868	C₂³	C₂×#3484	1	4	yes	—
869	C₂³	C₂×#3484	1	2	yes	—
870	C₂³	C₂×#3484	1	1	yes	characteristic
871	C₂³	C₂×#3484	1	1	yes	characteristic
872	C₂³	C₂×#3484	1	2	yes	—
873	C₂³	C₂×#3484	1	2	yes	—
874	C₂³	C₂×#3484	1	1	yes	characteristic
875	C₂³	C₂×#3484	1	2	yes	—
876	C₂³	C₂×#3484	1	2	yes	—
877	C₂³	C₂×#3484	1	1	yes	characteristic
878	C₂³	C₂×#3484	1	2	yes	—
879	C₂³	C₂×#3498	1	4	yes	—
880	C₂³	C₂×#3498	1	2	yes	—
881	C₂³	#62817	1	2	yes	—
882	C₂³	#62817	1	4	yes	—
883	C₂³	#62817	1	2	yes	—
884	C₂³	#62832	1	4	yes	—
885	C₂³	#62832	1	2	yes	—
886	C₂³	#62842	1	2	yes	—
887	C₂³	#62862	1	2	yes	—
888	C₂³	#62874	1	2	yes	—
889	C₂³	#62892	1	4	yes	—
890	C₂³	#62892	1	8	yes	—
891	C₂³	#62912	1	4	yes	—
892	C₂³	#62912	1	8	yes	—
893	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
894	C₂³	D₄×H(5,𝔽₂)	1	4	yes	—
895	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
896	C₂³	D₄×H(5,𝔽₂)	1	4	yes	—
897	C₂³	#63011	1	8	yes	—
898	C₂³	#63011	1	8	yes	—
899	C₂×C₄	C₂×#2403	1	8	yes	—
900	C₂×C₄	#35346	1	8	yes	—
901	C₂×C₄	D₄×#120	1	16	yes	—
902	C₂²	#1418385	1	16	yes	complemented
903	C₂²	C₂²×#2403	1	1	yes	characteristic
904	C₂²	C₂×#35346	1	1	yes	characteristic
905	C₂²	C₂×#35346	1	1	yes	characteristic
906	C₂²	C₂×D₄×#120	1	2	yes	—
907	C₂²	C₂×D₄×#120	1	2	yes	—
908	C₂²	#7630939	1	1	yes	characteristic
909	C₂²	#7630939	1	1	yes	characteristic
910	C₂²	#7631286	1	2	yes	—
911	C₂²	#7631286	1	2	yes	—
912	C₂²	#7642244	1	1	yes	characteristic
913	C₂²	#7642244	1	1	yes	characteristic
914	C₂²	#7652795	1	2	yes	—
915	C₂²	D₄×#534	1	2	yes	—
916	C₂²	C₂×#58990	1	2	yes	—
917	C₂²	C₂×#59126	1	2	yes	—
918	C₂²	C₂×#59126	1	1	yes	characteristic
919	C₂²	C₂×#43001	1	4	yes	—
920	C₂²	C₂×#45355	1	2	yes	—
921	C₂²	#7670203	1	4	yes	—
922	C₂²	#7670203	1	4	yes	—
923	C₂²	#7671946	1	2	yes	—
924	C₂²	#7671946	1	4	yes	—
925	C₂²	#7677118	1	2	yes	—
926	C₂²	#7682069	1	2	yes	—
927	C₂²	#7684106	1	8	yes	—
928	C₂²	#7684106	1	8	yes	—
929	C₂²	#7686082	1	8	yes	—
930	C₂²	D₄³	1	8	yes	—
931	C₂²	C₂×#47827	1	2	yes	—
932	C₂²	C₂×#52004	1	1	yes	characteristic
933	C₂²	#7711201	1	1	yes	characteristic
934	C₂²	#7711201	1	2	yes	—
935	C₂²	#7714555	1	1	yes	characteristic
936	C₂²	#7718113	1	2	yes	—
937	C₂²	#7726041	1	2	yes	—
938	C₂²	#7737411	1	2	yes	—
939	C₂²	#7768137	1	4	yes	—
940	C₂²	#7772009	1	4	yes	—
941	C₂²	#7779441	1	4	yes	—
942	C₂²	#7785382	1	4	yes	—
943	C₂²	#7791097	1	4	yes	—
944	C₂²	#7850315	1	8	yes	—
945	C₂²	#7854849	1	8	yes	—
946	C₂²	#7967934	1	8	yes	—
947	C₂²	#8125618	1	2	yes	—
948	C₂²	#8176294	1	4	yes	—
949	C₂²	#8391500	1	4	yes	—
950	C₂²	#8591164	1	8	yes	—
951	C₂	#72217875	1	1	yes	characteristic
952	C₂	#72232043	1	2	yes	—
953	C₂	D₄×#2403	1	2	yes	—
954	C₂	#72232150	1	4	yes	—
955	C₂	#72232166	1	8	yes	—
956	C₂	#72232559	1	2	yes	—
957	C₂	#72233574	1	1	yes	characteristic
958	C₂	C₂×#1418385	1	1	yes	characteristic
959	C₂	#72262818	1	1	yes	characteristic
960	C₂	#72298090	1	4	yes	—
961	C₂	#72329460	1	2	yes	—
962	C₂	#72329667	1	1	yes	characteristic
963	C₂	#72332444	1	1	yes	characteristic
964	C₂	#72336107	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. #72336308	C₂	semidirect
2. #72336254	C₂	semidirect
3. #72336196	C₂	semidirect
4. #72335742	C₂	semidirect
5. #72330490	C₂	semidirect
6. #72330475	C₂	semidirect
7. #72299585	C₂	semidirect
8. #72298516	C₂	semidirect
9. #72298486	C₂	semidirect
10. #72298443	C₂	semidirect
11. #72298178	C₂	semidirect
12. #72278228	C₂	semidirect
13. #72278149	C₂	semidirect
14. C₂³×#2433	C₂	semidirect
15. C₂×#1418385	C₂	semidirect
16. #72252084	C₂	semidirect
17. C₂²×#59126	C₂	semidirect
18. #72233926	C₂	semidirect
19. C₂×#612424	C₂	semidirect
20. C₂×#647656	C₂	semidirect
21. C₂⁶×D₄	C₂²	semidirect
22. C₂³×D₄²	C₂²	semidirect
23. C₂³×D₄²	C₂²	semidirect
25. C₂⁴×#127	C₂²	semidirect
26. C₂⁴×#121	C₂²	semidirect
27. C₂⁴×#120	C₂²	semidirect
28. C₂⁴×#120	C₂²	semidirect
29. C₂²×#2669	C₂²	semidirect
30. C₂²×#2669	C₂²	semidirect
31. C₂²×#2846	C₂²	semidirect
32. C₂²×#2541	C₂²	semidirect
33. C₂²×#2428	C₂²	semidirect
35. C₂²×#2433	C₂²	semidirect
36. C₂²×#2433	C₂²	semidirect
37. C₂²×#2433	C₂²	semidirect
38. C₂²×#2433	C₂²	semidirect
39. C₂²×#2433	C₂²	semidirect
40. C₂²×#2408	C₂²	semidirect
42. C₂²×#2403	C₂²	semidirect
43. C₂²×#2403	C₂²	semidirect
44. C₂²×#2403	C₂²	semidirect
45. C₂²×#2403	C₂²	semidirect
46. C₂²×#2403	C₂²	semidirect
47. C₂²×#2403	C₂²	semidirect
48. C₂²×#2403	C₂²	semidirect
49. C₂³×#392	C₂²	semidirect
50. C₂²×#2366	C₂²	semidirect
51. C₂²×C₄×#121	C₂²	semidirect
52. C₂³×#390	C₂²	semidirect
53. C₂³×#390	C₂²	semidirect
54. C₂³×C₄×C₂²⋊C₄	C₂²	semidirect
55. C₂×#15947	C₂²	semidirect
56. C₂×#15273	C₂²	semidirect
57. C₂×#15258	C₂²	semidirect
58. C₂×#15258	C₂²	semidirect
59. C₂×#15258	C₂²	semidirect
60. C₂×#15257	C₂²	semidirect
61. C₂×#15257	C₂²	semidirect
62. C₂×#15257	C₂²	semidirect
63. C₂×#15257	C₂²	semidirect
64. C₂×#15257	C₂²	semidirect
65. C₂×#15257	C₂²	semidirect
66. C₂×#14811	C₂²	semidirect
68. C₂×#14716	C₂²	semidirect
69. C₂×#14716	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×#14715	C₂²	semidirect
78. C₂×#14715	C₂²	semidirect
79. C₂×#14694	C₂²	semidirect
80. C₂×#14679	C₂²	semidirect
81. C₂×#14419	C₂²	semidirect
82. C₂×#14419	C₂²	semidirect
83. C₂×#14357	C₂²	semidirect
84. C₂×#14175	C₂²	semidirect
85. C₂×#14134	C₂²	semidirect
86. C₂×#13967	C₂²	semidirect
87. C₂×#13967	C₂²	semidirect
88. C₂×#13967	C₂²	semidirect
89. C₂×#13967	C₂²	semidirect
90. C₂×#13867	C₂²	semidirect
91. C₂×#13867	C₂²	semidirect
92. C₂×#13867	C₂²	semidirect
93. C₂×#13867	C₂²	semidirect
94. C₂×#13867	C₂²	semidirect
95. C₂×#13867	C₂²	semidirect
96. C₂×#13867	C₂²	semidirect
97. #158830	C₂²	semidirect
98. #158818	C₂²	semidirect
99. #158479	C₂²	semidirect
100. #158361	C₂²	semidirect
101. #158314	C₂²	semidirect
102. #158314	C₂²	semidirect
103. #158314	C₂²	semidirect
104. #157599	C₂²	semidirect
105. #157077	C₂²	semidirect
106. #156800	C₂²	semidirect
107. #156709	C₂²	semidirect
108. #156706	C₂²	semidirect
109. #156706	C₂²	semidirect
110. #156706	C₂²	semidirect
111. #156706	C₂²	semidirect
112. #156706	C₂²	semidirect
113. #156706	C₂²	semidirect
114. #156688	C₂²	semidirect
115. #156688	C₂²	semidirect
116. #156684	C₂²	semidirect
117. #156684	C₂²	semidirect
118. #156684	C₂²	semidirect
119. #156684	C₂²	semidirect
120. #156379	C₂²	semidirect
121. #155653	C₂²	semidirect
122. #155653	C₂²	semidirect
123. #155066	C₂²	semidirect
124. #155066	C₂²	semidirect
125. #154763	C₂²	semidirect
126. #154763	C₂²	semidirect
127. #154763	C₂²	semidirect
128. #154746	C₂²	semidirect
129. #154674	C₂²	semidirect
130. #154674	C₂²	semidirect
131. #154671	C₂²	semidirect
132. #154671	C₂²	semidirect
133. #154671	C₂²	semidirect
134. #154635	C₂²	semidirect
135. #154635	C₂²	semidirect
136. #154634	C₂²	semidirect
137. #154486	C₂²	semidirect
138. #154450	C₂²	semidirect
139. #154268	C₂²	semidirect
140. #154255	C₂²	semidirect
141. #154248	C₂²	semidirect
142. #154213	C₂²	semidirect
143. #154200	C₂²	semidirect
144. #154195	C₂²	semidirect
145. #154195	C₂²	semidirect
146. #154096	C₂²	semidirect
147. #154095	C₂²	semidirect
148. #154095	C₂²	semidirect
149. #154094	C₂²	semidirect
150. #154094	C₂²	semidirect
151. #154094	C₂²	semidirect
152. #154094	C₂²	semidirect
153. #154088	C₂²	semidirect
154. #154078	C₂²	semidirect
155. #154037	C₂²	semidirect
156. #153879	C₂²	semidirect
157. #153827	C₂²	semidirect
158. #153793	C₂²	semidirect
173. C₂⁵×D₄	C₂³	semidirect
175. C₂³×#127	D₄	semidirect
184. C₂³×#127	C₂³	semidirect
189. C₂³×#121	C₂³	semidirect
190. C₂³×#121	C₂³	semidirect
191. C₂³×#121	C₂³	semidirect
192. C₂³×#121	C₂³	semidirect
193. C₂³×#121	C₂³	semidirect
210. C₂³×#120	C₂³	semidirect
211. C₂³×#120	C₂³	semidirect
212. C₂³×#120	C₂³	semidirect
213. C₂³×#120	C₂³	semidirect
214. C₂³×#120	C₂³	semidirect
216. C₂³×C₄×D₄	C₂³	semidirect
217. C₂³×C₄×D₄	C₂³	semidirect
227. C₂×#2433	D₄	semidirect
228. C₂×#2403	D₄	semidirect
229. C₂²×#394	C₂³	semidirect
230. C₂²×#394	C₂³	semidirect
246. C₂²×#392	C₂³	semidirect
247. C₂²×#392	C₂³	semidirect
248. C₂²×#392	C₂³	semidirect
249. C₂²×#392	C₂³	semidirect
250. C₂²×#392	C₂³	semidirect
251. C₂²×#392	C₂³	semidirect
252. C₂²×#392	C₂³	semidirect
253. C₂²×#392	C₂³	semidirect
254. C₂²×#392	C₂³	semidirect
255. C₂²×#392	C₂³	semidirect
256. C₂²×#392	C₂³	semidirect
263. C₂²×#390	C₂³	semidirect
264. C₂²×#390	C₂³	semidirect
265. C₂²×#390	C₂³	semidirect
266. C₂²×#389	C₂³	semidirect
267. C₂²×#388	C₂³	semidirect
285. C₂²×#386	C₂³	semidirect
286. C₂²×#386	C₂³	semidirect
287. C₂²×#386	C₂³	semidirect
288. C₂²×#386	C₂³	semidirect
289. C₂²×#386	C₂³	semidirect
290. C₂²×#386	C₂³	semidirect
291. C₂²×#386	C₂³	semidirect
292. C₂²×#386	C₂³	semidirect
309. C₂²×#379	C₂³	semidirect
310. C₂²×#379	C₂³	semidirect
311. C₂²×C₄×C₄⋊C₄	C₂³	semidirect
315. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
317. #14716	D₄	semidirect
318. C₂×#1442	C₂³	semidirect
319. C₂×#1440	C₂³	semidirect
320. C₂×#1440	C₂³	semidirect
321. C₂×#1440	C₂³	semidirect
322. C₂×#1440	C₂³	semidirect
323. C₂×#1440	C₂³	semidirect
328. C₂×#1439	C₂³	semidirect
329. C₂×#1439	C₂³	semidirect
330. C₂×#1439	C₂³	semidirect
331. C₂×#1439	C₂³	semidirect
332. C₂×#1439	C₂³	semidirect
333. C₂×#1439	C₂³	semidirect
334. C₂×#1439	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×#1438	C₂³	semidirect
359. C₂×#1438	C₂³	semidirect
360. C₂×#1438	C₂³	semidirect
361. C₂×#1438	C₂³	semidirect
362. C₂×#1438	C₂³	semidirect
363. C₂×#1438	C₂³	semidirect
364. C₂×#1438	C₂³	semidirect
365. C₂×#1438	C₂³	semidirect
366. C₂×#1438	C₂³	semidirect
367. C₂×#1438	C₂³	semidirect
368. C₂×#1438	C₂³	semidirect
369. C₂×#1438	C₂³	semidirect
370. C₂×#1438	C₂³	semidirect
371. C₂×#1438	C₂³	semidirect
372. C₂×#1438	C₂³	semidirect
373. C₂×#1438	C₂³	semidirect
374. C₂×#1438	C₂³	semidirect
375. C₂×#1438	C₂³	semidirect
376. C₂×#1438	C₂³	semidirect
377. C₂×#1438	C₂³	semidirect
378. C₂×#1438	C₂³	semidirect
379. C₂×#1438	C₂³	semidirect
381. C₂×#1437	C₂³	semidirect
382. C₂×#1437	C₂³	semidirect
383. C₂×#1437	C₂³	semidirect
384. C₂×#1437	C₂³	semidirect
385. C₂×#1434	C₂³	semidirect
386. C₂×#1434	C₂³	semidirect
398. C₂×C₂²⋊#95	C₂³	semidirect
399. C₂×C₂²⋊#95	C₂³	semidirect
400. C₂×C₂²⋊#95	C₂³	semidirect
401. C₂×C₂²⋊#95	C₂³	semidirect
402. #7557	C₂³	semidirect
403. #7557	C₂³	semidirect
404. #7557	C₂³	semidirect
405. #7557	C₂³	semidirect
406. #7557	C₂³	semidirect
407. #7556	C₂³	semidirect
409. #7555	C₂³	semidirect
410. #7555	C₂³	semidirect
411. #7555	C₂³	semidirect
412. #7555	C₂³	semidirect
413. #7555	C₂³	semidirect
414. #7555	C₂³	semidirect
415. #7555	C₂³	semidirect
416. #7555	C₂³	semidirect
417. #7555	C₂³	semidirect
418. #7555	C₂³	semidirect
419. #7555	C₂³	semidirect
420. #7554	C₂³	semidirect
421. #7554	C₂³	semidirect
422. #7554	C₂³	semidirect
423. #7554	C₂³	semidirect
424. #7554	C₂³	semidirect
435. C₂⁴×D₄	C₂×D₄	semidirect
436. C₂⁴×D₄	C₂×D₄	semidirect
437. C₂⁴×D₄	C₂×D₄	semidirect
438. C₂⁴×D₄	C₂×D₄	semidirect
482. C₂²×#127	C₂×D₄	semidirect
483. C₂²×#127	C₂×D₄	semidirect
484. C₂²×#127	C₂×D₄	semidirect
485. C₂²×#127	C₂×D₄	semidirect
486. C₂²×#121	C₂×D₄	semidirect
487. C₂²×#121	C₂×D₄	semidirect
489. C₂²×#120	C₂×D₄	semidirect
490. C₂²×#120	C₂×D₄	semidirect
491. C₂²×#120	C₂×D₄	semidirect
492. C₂²×#120	C₂×D₄	semidirect
499. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
550. C₂³×C₄²	C₂×D₄	semidirect
557. C₂×#392	C₂×D₄	semidirect
558. C₂×#392	C₂×D₄	semidirect
559. C₂×#392	C₂×D₄	semidirect
560. C₂×#392	C₂×D₄	semidirect
561. C₂×#390	C₂×D₄	semidirect
562. C₂×#390	C₂×D₄	semidirect
563. C₂×#386	C₂×D₄	semidirect
564. C₂×#386	C₂×D₄	semidirect
565. C₂×#386	C₂×D₄	semidirect
566. C₂×#386	C₂×D₄	semidirect
567. C₂×#379	C₂×D₄	semidirect
568. C₂×C₄×C₂²⋊C₄	C₂×D₄	semidirect
597. #1439	C₂×D₄	semidirect
598. #1438	C₂×D₄	semidirect
599. C₂²⋊#95	C₂×D₄	semidirect
617. C₂³×D₄	#120	semidirect
645. C₂³×D₄	C₂²×D₄	semidirect
671. C₂×#127	#120	semidirect
673. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
690. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
691. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
701. C₂×#95	C₂²×D₄	semidirect
702. C₂×#95	C₂²×D₄	semidirect
703. C₂×#95	C₂²×D₄	semidirect
705. C₂⁵	D₄²	semidirect
741. C₂²×D₄	C₂×#120	semidirect
742. C₂²×D₄	C₂×#120	semidirect
777. C₂×C₂²⋊C₄	D₄²	semidirect
778. C₂×C₄²	C₂×#120	semidirect
823. C₂×D₄	#2403	semidirect
850. C₂³	#59126	semidirect
902. C₂²	#1418385	semidirect

Maximal subgroups

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

subgroup	index
#72336308	2
#72336254	2
#72336196	2
#72335742	2
#72330490	2
#72330475	2
#72299585	2
#72298516	2
#72298486	2
#72298443	2
#72298178	2
#72278228	2
#72278149	2
C₂³×#2433	2
C₂×#1418385	2
#72252084	2
C₂²×#59126	2
#72233926	2
C₂×#612424	2
C₂×#647656	2