Subgroups — C₂×#120×#392 #72320525

Order 4096.

At least 6700 conjugacy classes of subgroups; only the 94363 normal subgroups are shown.

The subgroup lattice has 1004 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#95×#120	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#72278310	C₂	1	3	yes	maximal, complemented
3	C₂×C₂²⋊C₄×#392	C₂	1	3	yes	maximal, complemented
4	C₂×#72278357	C₂	1	9	yes	maximal, complemented
5	C₂×#72320310	C₂	1	3	yes	maximal, complemented
6	C₂×#72278330	C₂	1	9	yes	maximal, complemented
7	C₂×#72278348	C₂	1	9	yes	maximal, complemented
8	C₂×#72320282	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₂²⋊C₄×#95	C₂²	1	3	yes	complemented
10	C₂×#153831	C₂²	1	9	yes	complemented
11	C₂×#154647	C₂²	1	6	yes	complemented
12	C₂×#158362	C₂²	1	18	yes	complemented
13	C₂×#154106	C₂²	1	3	yes	complemented
14	C₂×#154206	C₂²	1	9	yes	complemented
15	#120×#392	C₂	1	64	yes	maximal, direct product factor
16	#95×#120	C₂²	1	32	yes	complemented
17	C₂²⋊C₄×#392	C₂²	1	96	yes	complemented
18	#72320310	C₂²	1	96	yes	complemented
19	#72320282	C₂²	1	32	yes	complemented
20	C₂×#154635	C₂²	1	18	yes	complemented
21	C₂×#158317	C₂²	1	18	yes	complemented
22	C₂×#156707	C₂²	1	18	yes	complemented
23	C₂×#158361	C₂²	1	18	yes	complemented
24	C₂×#72240113	C₂	1	3	yes	maximal, complemented
25	C₂×#72286393	C₂	1	3	yes	maximal, complemented
26	C₂×#154095	C₂²	1	9	yes	complemented
27	C₂×#154095	C₂²	1	9	yes	complemented
28	C₂⁵×#392	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂⁵×#95	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×#392	C₂	1	3	yes	maximal, complemented
31	C₂²×D₄×#95	C₂²	1	3	yes	complemented
32	C₂²×C₄×#392	C₂²	1	3	yes	complemented
33	C₂²×#15123	C₂²	1	9	yes	complemented
34	C₂²×#14757	C₂²	1	3	yes	complemented
35	C₂²×#14757	C₂²	1	3	yes	complemented
36	C₂²×#15142	C₂²	1	3	yes	complemented
37	C₂²×#15124	C₂²	1	9	yes	complemented
38	C₂×#154077	C₂²	1	3	yes	complemented
39	#72286393	C₂²	1	96	yes	complemented
40	#72278357	C₂²	1	288	yes	complemented
41	#72278348	C₂²	1	288	yes	complemented
42	#72278330	C₂²	1	288	yes	complemented
43	#72278310	C₂²	1	96	yes	complemented
44	C₂²×C₂²⋊C₄×#120	C₂	1	3	yes	maximal, complemented
45	C₂²×#13995	C₂²	1	9	yes	complemented
46	C₂²×#13995	C₂²	1	9	yes	complemented
47	C₂²×C₂²⋊C₄²	C₂²	1	9	yes	complemented
48	C₂²×#13877	C₂²	1	9	yes	complemented
49	C₂⁶×C₂²⋊C₄	C₂²	1	3	yes	complemented
50	C₂³×D₄×#120	C₂	1	3	yes	maximal, complemented
51	C₂³×D₄×C₂²⋊C₄	C₂²	1	9	yes	complemented
52	C₂³×D₄×C₂²⋊C₄	C₂²	1	9	yes	complemented
53	C₂⁷×D₄	C₂²	1	3	yes	complemented
54	C₂³×#2847	C₂²	1	3	yes	complemented
55	C₂³×#2433	C₂²	1	9	yes	complemented
56	C₂³×#2410	C₂²	1	18	yes	complemented
57	C₂³×C₄×#120	C₂²	1	1	yes	characteristic
58	C₂³×C₄×#120	C₂²	1	3	yes	—
59	C₂×#72233926	C₂	1	9	yes	maximal, complemented
60	C₂²×#14716	C₂²	1	9	yes	complemented
61	C₂²×#14716	C₂²	1	9	yes	complemented
62	C₂²×#14716	C₂²	1	9	yes	complemented
63	C₂³×#2408	C₂²	1	9	yes	complemented
64	C₂²×#13967	C₂²	1	9	yes	complemented
65	C₂²×#13967	C₂²	1	9	yes	complemented
66	C₂×#156709	C₂²	1	6	yes	complemented
67	C₂×#154094	C₂²	1	9	yes	complemented
68	C₂×#154094	C₂²	1	18	yes	complemented
69	C₂×#154094	C₂²	1	9	yes	complemented
70	C₂×#156684	C₂²	1	18	yes	complemented
71	C₂×#156706	C₂²	1	36	yes	complemented
72	C₂×#156706	C₂²	1	18	yes	complemented
73	C₂×#154195	C₂²	1	18	yes	complemented
74	C₂×#154195	C₂²	1	18	yes	complemented
75	C₂×#154255	C₂²	1	9	yes	complemented
76	C₂×#158314	C₂²	1	18	yes	complemented
77	C₂×#154634	C₂²	1	18	yes	complemented
78	C₂×C₂²⋊C₄×#120	C₂²	1	96	yes	complemented
79	C₂⁴×#392	C₂²	1	3	yes	—
80	C₂⁴×#392	C₂²	1	9	yes	complemented
81	C₂⁴×#392	C₂²	1	9	yes	complemented
82	C₂⁴×#392	C₂²	1	3	yes	complemented
83	C₂⁴×#392	C₂²	1	32	yes	complemented
84	C₂⁴×#392	C₂²	1	1	yes	characteristic, complemented
85	C₂²×#14694	C₂²	1	3	yes	complemented
86	C₂²×#14694	C₂²	1	3	yes	complemented
87	C₂⁵×#120	C₂²	1	3	yes	—
88	C₂²×#13867	C₂²	1	9	yes	complemented
89	C₂²×#14715	C₂²	1	9	yes	complemented
90	C₂²×#14715	C₂²	1	18	yes	complemented
91	C₂²×#14715	C₂²	1	9	yes	complemented
92	C₂²×#14715	C₂²	1	9	yes	complemented
93	C₂×#153827	C₂²	1	9	yes	complemented
94	#72240113	C₂²	1	96	yes	complemented
95	#72233926	C₂²	1	288	yes	complemented
96	C₂³×#2403	C₂²	1	18	yes	complemented
97	C₂²×#14679	C₂²	1	3	yes	complemented
98	C₂×D₄×#392	C₂²	1	96	yes	complemented
99	C₂²×D₄×#120	C₂²	1	96	yes	complemented
100	C₂⁴×D₄²	C₂²	1	9	yes	complemented
101	C₂³×#2846	C₂²	1	6	yes	complemented
102	C₂⁹	C₂³	1	3	yes	—
103	C₂⁶×D₄	C₂³	1	9	yes	—
104	C₂⁶×D₄	C₂³	1	9	yes	—
105	C₂⁶×D₄	C₂³	1	18	yes	—
106	C₂⁶×D₄	C₂³	1	9	yes	—
107	C₂⁶×D₄	C₂³	1	48	yes	complemented
108	C₂⁶×D₄	C₂³	1	3	yes	complemented
109	C₂⁷×C₄	C₂³	1	3	yes	—
110	C₂⁷×C₄	C₂³	1	1	yes	characteristic
111	C₂³×D₄²	C₂³	1	144	yes	complemented
112	C₂⁴×#127	C₂³	1	9	yes	complemented
113	C₂⁴×#121	C₂³	1	9	yes	—
114	C₂⁴×#121	C₂³	1	9	yes	complemented
115	C₂⁴×#121	C₂³	1	18	yes	complemented
116	C₂⁴×#120	D₄	1	96	yes	complemented
117	C₂⁴×#120	C₂³	1	9	yes	—
118	C₂⁴×#120	C₂³	1	48	yes	—
119	C₂⁴×#120	C₂³	1	9	yes	—
120	C₂⁴×#120	C₂³	1	3	yes	—
121	C₂⁴×#120	C₂³	1	18	yes	—
122	C₂⁴×#120	C₂³	1	18	yes	—
123	C₂⁴×#120	C₂³	1	1	yes	characteristic
124	C₂⁴×#120	C₂³	1	18	yes	complemented
125	C₂⁴×C₄×D₄	C₂³	1	3	yes	—
126	C₂⁴×C₄×D₄	C₂³	1	9	yes	—
127	C₂⁴×C₄×D₄	C₂³	1	9	yes	complemented
128	C₂⁵×C₂²⋊C₄	C₂³	1	9	yes	—
129	C₂⁵×C₂²⋊C₄	C₂³	1	9	yes	—
130	C₂⁵×C₂²⋊C₄	C₂³	1	9	yes	—
131	C₂⁵×C₂²⋊C₄	C₂³	1	9	yes	—
132	C₂⁵×C₂²⋊C₄	C₂³	1	9	yes	—
133	C₂⁵×C₂²⋊C₄	C₂³	1	48	yes	complemented
134	C₂⁵×C₂²⋊C₄	C₂³	1	3	yes	complemented
135	C₂²×#2847	C₂³	1	48	yes	complemented
136	C₂²×#2846	C₂³	1	96	yes	complemented
137	C₂²×#2433	C₂³	1	144	yes	complemented
138	C₂²×#2408	C₂³	1	144	yes	complemented
139	C₂²×#2410	C₂³	1	288	yes	complemented
140	C₂²×#2403	C₂³	1	288	yes	complemented
141	C₂³×#394	C₂³	1	18	yes	complemented
142	C₂³×#392	D₄	1	96	yes	complemented
143	C₂³×#392	C₂³	1	18	yes	—
144	C₂³×#392	C₂³	1	6	yes	—
145	C₂³×#392	C₂³	1	18	yes	—
146	C₂³×#392	C₂³	1	9	yes	—
147	C₂³×#392	C₂³	1	3	yes	—
148	C₂³×#392	C₂³	1	9	yes	—
149	C₂³×#392	C₂³	1	48	yes	—
150	C₂³×#392	C₂³	1	1	yes	characteristic
151	C₂³×#392	C₂³	1	48	yes	complemented
152	C₂³×#392	C₂³	1	144	yes	complemented
153	C₂³×#392	C₂³	1	144	yes	complemented
154	C₂³×#392	C₂³	1	3	yes	complemented
155	C₂³×#392	C₂³	1	1	yes	characteristic, complemented
156	C₂³×#392	C₂³	1	3	yes	complemented
157	C₂³×#392	C₂³	1	36	yes	complemented
158	C₂³×#392	C₂³	1	18	yes	complemented
159	C₂³×#392	C₂³	1	9	yes	complemented
160	C₂³×#392	C₂³	1	9	yes	complemented
161	C₂³×#392	C₂³	1	18	yes	complemented
162	C₂³×#392	C₂³	1	18	yes	complemented
163	C₂³×#392	C₂³	1	16	yes	complemented
164	C₂²×D₄×C₂²⋊C₄	C₂³	1	144	yes	complemented
165	C₂²×D₄×C₂²⋊C₄	C₂³	1	144	yes	complemented
166	C₂²×C₄×#120	D₄	1	96	yes	complemented
167	C₂²×C₄×#120	C₂³	1	16	yes	—
168	C₂²×C₄×#120	C₂³	1	48	yes	—
169	C₂³×#390	C₂³	1	18	yes	complemented
170	C₂³×#390	C₂³	1	9	yes	complemented
171	C₂³×#390	C₂³	1	9	yes	complemented
172	C₂³×#386	C₂³	1	9	yes	—
173	C₂³×#386	C₂³	1	18	yes	—
174	C₂³×#386	C₂³	1	3	yes	—
175	C₂³×#386	C₂³	1	9	yes	—
176	C₂³×#386	C₂³	1	9	yes	—
177	C₂³×#386	C₂³	1	9	yes	—
178	C₂³×#386	C₂³	1	9	yes	—
179	C₂³×#386	C₂³	1	36	yes	complemented
180	C₂³×#386	C₂³	1	9	yes	complemented
181	C₂³×#386	C₂³	1	9	yes	complemented
182	C₂³×#385	C₂³	1	3	yes	—
183	C₂³×#385	C₂³	1	9	yes	—
184	C₂³×#380	C₂³	1	9	yes	—
185	C₂³×#380	C₂³	1	9	yes	complemented
186	C₂³×#379	C₂³	1	18	yes	—
187	C₂³×#379	C₂³	1	18	yes	—
188	C₂³×#379	C₂³	1	1	yes	characteristic
189	C₂³×#379	C₂³	1	9	yes	—
190	C₂³×#379	C₂³	1	9	yes	—
191	C₂³×#379	C₂³	1	3	yes	—
192	C₂³×#379	C₂³	1	9	yes	—
193	C₂³×#379	C₂³	1	9	yes	—
194	C₂³×#379	C₂³	1	9	yes	complemented
195	C₂³×C₄×C₂²⋊C₄	C₂³	1	3	yes	—
196	C₂³×C₄×C₂²⋊C₄	C₂³	1	9	yes	—
197	C₂³×C₄×C₂²⋊C₄	C₂³	1	9	yes	complemented
198	C₂⁴×#95	C₂³	1	9	yes	—
199	C₂⁴×#95	C₂³	1	3	yes	—
200	C₂⁴×#95	C₂³	1	16	yes	complemented
201	C₂⁴×#95	C₂³	1	1	yes	characteristic, complemented
202	C₂×#15142	C₂³	1	48	yes	complemented
203	C₂×#15124	C₂³	1	144	yes	complemented
204	C₂×#15123	C₂³	1	144	yes	complemented
205	C₂×#14757	C₂³	1	48	yes	complemented
206	C₂×#14757	C₂³	1	48	yes	complemented
207	C₂×#14716	C₂³	1	144	yes	complemented
208	C₂×#14716	C₂³	1	144	yes	complemented
209	C₂×#14716	C₂³	1	144	yes	complemented
210	C₂×#14715	C₂³	1	144	yes	complemented
211	C₂×#14715	C₂³	1	144	yes	complemented
212	C₂×#14715	C₂³	1	288	yes	complemented
213	C₂×#14715	C₂³	1	144	yes	complemented
214	C₂×#14694	C₂³	1	48	yes	complemented
215	C₂×#14694	C₂³	1	48	yes	complemented
216	C₂×#14679	C₂³	1	48	yes	complemented
217	C₂×#13995	C₂³	1	144	yes	complemented
218	C₂×#13995	C₂³	1	144	yes	complemented
219	C₂×#13967	C₂³	1	144	yes	complemented
220	C₂×#13967	C₂³	1	144	yes	complemented
221	C₂×#13877	C₂³	1	144	yes	complemented
222	C₂×#13867	C₂³	1	144	yes	complemented
223	C₂×C₄×#392	C₂³	1	48	yes	complemented
224	C₂²×#1444	C₂³	1	3	yes	complemented
225	C₂²×#1439	C₂³	1	9	yes	complemented
226	C₂²×#1439	C₂³	1	9	yes	complemented
227	C₂²×#1439	C₂³	1	9	yes	complemented
228	C₂²×#1439	C₂³	1	18	yes	complemented
229	C₂²×#1439	C₂³	1	18	yes	complemented
230	C₂²×#1439	C₂³	1	18	yes	complemented
231	C₂²×#1438	C₂³	1	18	yes	complemented
232	C₂²×#1438	C₂³	1	18	yes	complemented
233	C₂²×#1438	C₂³	1	18	yes	complemented
234	C₂²×#1438	C₂³	1	9	yes	complemented
235	C₂²×#1438	C₂³	1	9	yes	complemented
236	C₂²×#1438	C₂³	1	18	yes	complemented
237	C₂²×#1438	C₂³	1	9	yes	complemented
238	C₂²×#1438	C₂³	1	18	yes	complemented
239	C₂²×#1438	C₂³	1	36	yes	complemented
240	C₂²×#1438	C₂³	1	18	yes	complemented
241	C₂²×#1438	C₂³	1	36	yes	complemented
242	C₂²×#1438	C₂³	1	18	yes	complemented
243	C₂²×#1438	C₂³	1	36	yes	complemented
244	C₂×D₄×#95	C₂³	1	48	yes	complemented
245	C₂×C₂²⋊C₄²	C₂³	1	144	yes	complemented
246	C₂²×#1437	C₂³	1	18	yes	complemented
247	C₂²×#1437	C₂³	1	18	yes	complemented
248	C₂²×C₄⋊#95	C₂³	1	9	yes	complemented
249	C₂²×C₂²⋊#95	C₂³	1	9	yes	—
250	C₂²×C₂²⋊#95	C₂³	1	9	yes	—
251	C₂²×C₂²⋊#95	C₂³	1	9	yes	—
252	C₂²×C₂²⋊#95	C₂³	1	9	yes	—
253	C₂²×C₂²⋊#95	C₂³	1	9	yes	—
254	C₂²×C₂²⋊#95	C₂³	1	9	yes	—
255	C₂²×C₂²⋊#95	C₂³	1	18	yes	—
256	C₂²×C₂²⋊#95	C₂³	1	9	yes	complemented
257	C₂²×C₂²⋊#95	C₂³	1	18	yes	complemented
258	C₂²×C₄×#95	C₂³	1	3	yes	complemented
259	#158362	C₂³	1	288	yes	complemented
260	#158361	C₂³	1	288	yes	complemented
261	#158317	C₂³	1	288	yes	complemented
262	#158314	C₂³	1	288	yes	complemented
263	#156709	C₂³	1	96	yes	complemented
264	#156707	C₂³	1	288	yes	complemented
265	#156706	C₂³	1	288	yes	complemented
266	#156706	C₂³	1	576	yes	complemented
267	#156684	C₂³	1	288	yes	complemented
268	#154647	C₂³	1	96	yes	complemented
269	#154635	C₂³	1	288	yes	complemented
270	#154634	C₂³	1	288	yes	complemented
271	#154255	C₂³	1	144	yes	complemented
272	#154206	C₂³	1	144	yes	complemented
273	#154195	C₂³	1	288	yes	complemented
274	#154195	C₂³	1	288	yes	complemented
275	#154106	C₂³	1	48	yes	complemented
276	#154095	C₂³	1	144	yes	complemented
277	#154095	C₂³	1	144	yes	complemented
278	#154094	C₂³	1	144	yes	complemented
279	#154094	C₂³	1	144	yes	complemented
280	#154094	C₂³	1	288	yes	complemented
281	#154077	C₂³	1	48	yes	complemented
282	#153831	C₂³	1	144	yes	complemented
283	#153827	C₂³	1	144	yes	complemented
284	C₂×#7557	C₂³	1	18	yes	complemented
285	C₂×#7557	C₂³	1	18	yes	complemented
286	C₂×#7556	C₂³	1	6	yes	complemented
287	C₂×#7555	C₂³	1	18	yes	complemented
288	C₂×#7555	C₂³	1	36	yes	complemented
289	C₂×#7555	C₂³	1	18	yes	complemented
290	C₂×#7555	C₂³	1	18	yes	complemented
291	C₂×#7555	C₂³	1	6	yes	complemented
292	C₂²⋊C₄×#95	C₂³	1	48	yes	complemented
293	C₂×#7554	C₂³	1	18	yes	complemented
294	C₂⁸	C₂×D₄	1	48	yes	complemented
295	C₂⁸	C₂⁴	1	1	yes	characteristic
296	C₂⁸	C₂⁴	1	9	yes	—
297	C₂⁸	C₂⁴	1	9	yes	—
298	C₂⁸	C₂⁴	1	3	yes	—
299	C₂⁸	C₂⁴	1	24	yes	—
300	C₂⁵×D₄	C₂×D₄	1	144	yes	complemented
301	C₂⁵×D₄	C₂×D₄	1	144	yes	complemented
302	C₂⁵×D₄	C₂⁴	1	9	yes	—
303	C₂⁵×D₄	C₂⁴	1	3	yes	—
304	C₂⁵×D₄	C₂⁴	1	18	yes	—
305	C₂⁵×D₄	C₂⁴	1	9	yes	—
306	C₂⁵×D₄	C₂⁴	1	6	yes	—
307	C₂⁵×D₄	C₂⁴	1	3	yes	—
308	C₂⁵×D₄	C₂⁴	1	18	yes	—
309	C₂⁵×D₄	C₂⁴	1	9	yes	—
310	C₂⁵×D₄	C₂⁴	1	9	yes	—
311	C₂⁵×D₄	C₂⁴	1	72	yes	—
312	C₂⁵×D₄	C₂⁴	1	72	yes	—
313	C₂⁵×D₄	C₂⁴	1	3	yes	—
314	C₂⁵×D₄	C₂⁴	1	144	yes	—
315	C₂⁵×D₄	C₂⁴	1	72	yes	—
316	C₂⁵×D₄	C₂⁴	1	18	yes	—
317	C₂⁵×D₄	C₂⁴	1	24	yes	complemented
318	C₂⁶×C₄	C₂×D₄	1	48	yes	complemented
319	C₂⁶×C₄	C₂⁴	1	9	yes	—
320	C₂⁶×C₄	C₂⁴	1	3	yes	—
321	C₂⁶×C₄	C₂⁴	1	3	yes	—
322	C₂⁶×C₄	C₂⁴	1	9	yes	—
323	C₂⁶×C₄	C₂⁴	1	24	yes	—
324	C₂⁶×C₄	C₂⁴	1	3	yes	—
325	C₂⁶×C₄	C₂⁴	1	9	yes	—
326	C₂⁶×C₄	C₂⁴	1	8	yes	—
327	C₂⁶×C₄	C₂⁴	1	1	yes	characteristic
328	C₂³×#127	C₂⁴	1	72	yes	complemented
329	C₂³×#121	C₂⁴	1	72	yes	—
330	C₂³×#121	C₂⁴	1	144	yes	complemented
331	C₂³×#121	C₂⁴	1	72	yes	complemented
332	C₂³×#120	C₂×D₄	1	48	yes	—
333	C₂³×#120	C₂×D₄	1	48	yes	—
334	C₂³×#120	C₂×D₄	1	48	yes	complemented
335	C₂³×#120	C₂×D₄	1	144	yes	complemented
336	C₂³×#120	C₂×D₄	1	144	yes	complemented
337	C₂³×#120	C₂×D₄	1	768	yes	complemented
338	C₂³×#120	#41	1	16	yes	—
339	C₂³×#120	C₂⁴	1	72	yes	—
340	C₂³×#120	C₂⁴	1	72	yes	—
341	C₂³×#120	C₂⁴	1	24	yes	—
342	C₂³×#120	C₂⁴	1	144	yes	—
343	C₂³×#120	C₂⁴	1	144	yes	—
344	C₂³×#120	C₂⁴	1	8	yes	—
345	C₂³×#120	C₂⁴	1	144	yes	complemented
346	C₂³×C₄×D₄	C₂×D₄	1	144	yes	complemented
347	C₂³×C₄×D₄	C₂⁴	1	24	yes	—
348	C₂³×C₄×D₄	C₂⁴	1	72	yes	—
349	C₂³×C₄×D₄	C₂⁴	1	72	yes	complemented
350	C₂⁴×C₄⋊C₄	C₂⁴	1	9	yes	—
351	C₂⁴×C₄⋊C₄	C₂⁴	1	3	yes	—
352	C₂⁴×C₄⋊C₄	C₂⁴	1	9	yes	—
353	C₂⁴×C₂²⋊C₄	C₂×D₄	1	144	yes	complemented
354	C₂⁴×C₂²⋊C₄	C₂×D₄	1	144	yes	complemented
355	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
356	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
357	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
358	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
359	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
360	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
361	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
362	C₂⁴×C₂²⋊C₄	C₂⁴	1	72	yes	—
363	C₂⁴×C₂²⋊C₄	C₂⁴	1	18	yes	—
364	C₂⁴×C₂²⋊C₄	C₂⁴	1	18	yes	—
365	C₂⁴×C₂²⋊C₄	C₂⁴	1	18	yes	—
366	C₂⁴×C₂²⋊C₄	C₂⁴	1	18	yes	—
367	C₂⁴×C₂²⋊C₄	C₂⁴	1	72	yes	—
368	C₂⁴×C₂²⋊C₄	C₂⁴	1	18	yes	—
369	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
370	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
371	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
372	C₂⁴×C₂²⋊C₄	C₂⁴	1	72	yes	—
373	C₂⁴×C₂²⋊C₄	C₂⁴	1	72	yes	—
374	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
375	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
376	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
377	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
378	C₂⁴×C₂²⋊C₄	C₂⁴	1	72	yes	—
379	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
380	C₂⁴×C₂²⋊C₄	C₂⁴	1	36	yes	—
381	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
382	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
383	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
384	C₂⁴×C₂²⋊C₄	C₂⁴	1	18	yes	—
385	C₂⁴×C₂²⋊C₄	C₂⁴	1	9	yes	—
386	C₂⁴×C₂²⋊C₄	C₂⁴	1	3	yes	—
387	C₂⁴×C₂²⋊C₄	C₂⁴	1	24	yes	complemented
388	C₂⁴×C₄²	C₂⁴	1	3	yes	—
389	C₂⁴×C₄²	C₂⁴	1	9	yes	—
390	C₂²×#394	C₂⁴	1	144	yes	complemented
391	C₂²×#392	C₂×D₄	1	48	yes	—
392	C₂²×#392	C₂×D₄	1	144	yes	complemented
393	C₂²×#392	C₂×D₄	1	144	yes	complemented
394	C₂²×#392	C₂×D₄	1	48	yes	complemented
395	C₂²×#392	C₂×D₄	1	768	yes	complemented
396	C₂²×#392	C₂⁴	1	144	yes	—
397	C₂²×#392	C₂⁴	1	144	yes	—
398	C₂²×#392	C₂⁴	1	48	yes	—
399	C₂²×#392	C₂⁴	1	72	yes	—
400	C₂²×#392	C₂⁴	1	72	yes	—
401	C₂²×#392	C₂⁴	1	24	yes	—
402	C₂²×#392	C₂⁴	1	8	yes	—
403	C₂²×#392	C₂⁴	1	144	yes	complemented
404	C₂²×#392	C₂⁴	1	288	yes	complemented
405	C₂²×#392	C₂⁴	1	24	yes	complemented
406	C₂²×#392	C₂⁴	1	24	yes	complemented
407	C₂²×#392	C₂⁴	1	8	yes	complemented
408	C₂²×#392	C₂⁴	1	144	yes	complemented
409	C₂²×#392	C₂⁴	1	72	yes	complemented
410	C₂²×#392	C₂⁴	1	72	yes	complemented
411	C₂²×#392	C₂⁴	1	144	yes	complemented
412	C₂×C₄×#120	C₂×D₄	1	768	yes	complemented
413	C₂²×#390	C₂⁴	1	144	yes	complemented
414	C₂²×#390	C₂⁴	1	72	yes	complemented
415	C₂²×#390	C₂⁴	1	72	yes	complemented
416	C₂²×#386	C₂×D₄	1	144	yes	complemented
417	C₂²×#386	C₂⁴	1	24	yes	—
418	C₂²×#386	C₂⁴	1	144	yes	—
419	C₂²×#386	C₂⁴	1	72	yes	—
420	C₂²×#386	C₂⁴	1	72	yes	—
421	C₂²×#386	C₂⁴	1	72	yes	—
422	C₂²×#386	C₂⁴	1	72	yes	—
423	C₂²×#386	C₂⁴	1	72	yes	—
424	C₂²×#386	C₂⁴	1	288	yes	complemented
425	C₂²×#386	C₂⁴	1	72	yes	complemented
426	C₂²×#386	C₂⁴	1	72	yes	complemented
427	C₂²×#385	C₂×D₄	1	144	yes	complemented
428	C₂²×#385	C₂⁴	1	24	yes	—
429	C₂²×#385	C₂⁴	1	72	yes	—
430	C₂²×#380	C₂⁴	1	72	yes	—
431	C₂²×#380	C₂⁴	1	72	yes	complemented
432	C₂²×#379	C₂×D₄	1	48	yes	complemented
433	C₂²×#379	C₂⁴	1	8	yes	—
434	C₂²×#379	C₂⁴	1	144	yes	—
435	C₂²×#379	C₂⁴	1	144	yes	—
436	C₂²×#379	C₂⁴	1	72	yes	—
437	C₂²×#379	C₂⁴	1	72	yes	—
438	C₂²×#379	C₂⁴	1	24	yes	—
439	C₂²×#379	C₂⁴	1	72	yes	—
440	C₂²×#379	C₂⁴	1	72	yes	—
441	C₂²×#379	C₂⁴	1	72	yes	complemented
442	C₂²×C₄×C₂²⋊C₄	C₂×D₄	1	144	yes	complemented
443	C₂²×C₄×C₂²⋊C₄	C₂⁴	1	24	yes	—
444	C₂²×C₄×C₂²⋊C₄	C₂⁴	1	72	yes	—
445	C₂²×C₄×C₂²⋊C₄	C₂⁴	1	72	yes	complemented
446	C₂³×#95	C₂×D₄	1	48	yes	complemented
447	C₂³×#95	C₂⁴	1	18	yes	—
448	C₂³×#95	C₂⁴	1	9	yes	—
449	C₂³×#95	C₂⁴	1	6	yes	—
450	C₂³×#95	C₂⁴	1	9	yes	—
451	C₂³×#95	C₂⁴	1	9	yes	—
452	C₂³×#95	C₂⁴	1	3	yes	—
453	C₂³×#95	C₂⁴	1	72	yes	—
454	C₂³×#95	C₂⁴	1	6	yes	—
455	C₂³×#95	C₂⁴	1	9	yes	—
456	C₂³×#95	C₂⁴	1	9	yes	—
457	C₂³×#95	C₂⁴	1	9	yes	—
458	C₂³×#95	C₂⁴	1	18	yes	—
459	C₂³×#95	C₂⁴	1	24	yes	—
460	C₂³×#95	C₂⁴	1	18	yes	—
461	C₂³×#95	C₂⁴	1	18	yes	—
462	C₂³×#95	C₂⁴	1	18	yes	—
463	C₂³×#95	C₂⁴	1	18	yes	—
464	C₂³×#95	C₂⁴	1	1	yes	characteristic
465	C₂³×#95	C₂⁴	1	8	yes	complemented
466	C₂×#1444	C₂⁴	1	24	yes	complemented
467	C₂×#1439	C₂⁴	1	144	yes	complemented
468	C₂×#1439	C₂⁴	1	144	yes	complemented
469	C₂×#1439	C₂⁴	1	72	yes	complemented
470	C₂×#1439	C₂⁴	1	72	yes	complemented
471	C₂×#1439	C₂⁴	1	72	yes	complemented
472	C₂×#1439	C₂⁴	1	144	yes	complemented
473	C₂×#1438	C₂⁴	1	72	yes	complemented
474	C₂×#1438	C₂⁴	1	144	yes	complemented
475	C₂×#1438	C₂⁴	1	144	yes	complemented
476	C₂×#1438	C₂⁴	1	144	yes	complemented
477	C₂×#1438	C₂⁴	1	144	yes	complemented
478	C₂×#1438	C₂⁴	1	144	yes	complemented
479	C₂×#1438	C₂⁴	1	72	yes	complemented
480	C₂×#1438	C₂⁴	1	72	yes	complemented
481	C₂×#1438	C₂⁴	1	288	yes	complemented
482	C₂×#1438	C₂⁴	1	144	yes	complemented
483	C₂×#1438	C₂⁴	1	288	yes	complemented
484	C₂×#1438	C₂⁴	1	288	yes	complemented
485	C₂×#1438	C₂⁴	1	144	yes	complemented
486	C₂×#1437	C₂⁴	1	144	yes	complemented
487	C₂×#1437	C₂⁴	1	144	yes	complemented
488	C₂×C₄⋊#95	C₂⁴	1	72	yes	complemented
489	C₂×C₂²⋊#95	C₂⁴	1	72	yes	—
490	C₂×C₂²⋊#95	C₂⁴	1	72	yes	—
491	C₂×C₂²⋊#95	C₂⁴	1	72	yes	—
492	C₂×C₂²⋊#95	C₂⁴	1	72	yes	—
493	C₂×C₂²⋊#95	C₂⁴	1	72	yes	—
494	C₂×C₂²⋊#95	C₂⁴	1	72	yes	—
495	C₂×C₂²⋊#95	C₂⁴	1	144	yes	—
496	C₂×C₂²⋊#95	C₂⁴	1	144	yes	complemented
497	C₂×C₂²⋊#95	C₂⁴	1	72	yes	complemented
498	C₂×C₄×#95	C₂⁴	1	24	yes	complemented
499	#7557	C₂⁴	1	144	yes	complemented
500	#7557	C₂⁴	1	144	yes	complemented
501	#7556	C₂⁴	1	48	yes	complemented
502	#7555	C₂⁴	1	144	yes	complemented
503	#7555	C₂⁴	1	144	yes	complemented
504	#7555	C₂⁴	1	48	yes	complemented
505	#7555	C₂⁴	1	144	yes	complemented
506	#7555	C₂⁴	1	288	yes	complemented
507	#7554	C₂⁴	1	144	yes	complemented
508	C₂⁷	C₂²×D₄	1	24	yes	—
509	C₂⁷	C₂²×D₄	1	24	yes	—
510	C₂⁷	C₂²×D₄	1	72	yes	—
511	C₂⁷	C₂²×D₄	1	72	yes	—
512	C₂⁷	C₂²×D₄	1	72	yes	—
513	C₂⁷	C₂²×D₄	1	192	yes	complemented
514	C₂⁷	C₂²×D₄	1	24	yes	complemented
515	C₂⁷	C₂×#41	1	8	yes	—
516	C₂⁷	H(5,𝔽₂)	1	72	yes	—
517	C₂⁷	C₂⁵	1	3	yes	—
518	C₂⁷	C₂⁵	1	9	yes	—
519	C₂⁷	C₂⁵	1	4	yes	—
520	C₂⁷	C₂⁵	1	1	yes	characteristic
521	C₂⁷	C₂⁵	1	3	yes	—
522	C₂⁷	C₂⁵	1	36	yes	—
523	C₂⁷	C₂⁵	1	36	yes	—
524	C₂⁷	C₂⁵	1	3	yes	—
525	C₂⁷	C₂⁵	1	12	yes	—
526	C₂⁴×D₄	C₂²×D₄	1	72	yes	—
527	C₂⁴×D₄	C₂²×D₄	1	72	yes	—
528	C₂⁴×D₄	C₂²×D₄	1	144	yes	—
529	C₂⁴×D₄	C₂²×D₄	1	72	yes	—
530	C₂⁴×D₄	C₂²×D₄	1	72	yes	—
531	C₂⁴×D₄	C₂²×D₄	1	72	yes	—
532	C₂⁴×D₄	C₂²×D₄	1	576	yes	complemented
533	C₂⁴×D₄	C₂²×D₄	1	72	yes	complemented
534	C₂⁴×D₄	C₂²×D₄	1	72	yes	complemented
535	C₂⁴×D₄	C₂²×D₄	1	576	yes	complemented
536	C₂⁴×D₄	C₂×#41	1	24	yes	—
537	C₂⁴×D₄	C₂⁵	1	36	yes	—
538	C₂⁴×D₄	C₂⁵	1	12	yes	—
539	C₂⁴×D₄	C₂⁵	1	72	yes	—
540	C₂⁴×D₄	C₂⁵	1	36	yes	—
541	C₂⁴×D₄	C₂⁵	1	72	yes	—
542	C₂⁴×D₄	C₂⁵	1	24	yes	—
543	C₂⁴×D₄	C₂⁵	1	12	yes	—
544	C₂⁴×D₄	C₂⁵	1	36	yes	—
545	C₂⁴×D₄	C₂⁵	1	36	yes	—
546	C₂⁴×D₄	C₂⁵	1	12	yes	—
547	C₂⁴×D₄	C₂⁵	1	72	yes	—
548	C₂⁵×C₄	C₂²×D₄	1	72	yes	—
549	C₂⁵×C₄	C₂²×D₄	1	24	yes	—
550	C₂⁵×C₄	C₂²×D₄	1	72	yes	—
551	C₂⁵×C₄	C₂²×D₄	1	72	yes	—
552	C₂⁵×C₄	C₂²×D₄	1	192	yes	complemented
553	C₂⁵×C₄	C₂²×D₄	1	24	yes	complemented
554	C₂⁵×C₄	C₂²×D₄	1	72	yes	complemented
555	C₂⁵×C₄	H(5,𝔽₂)	1	72	yes	—
556	C₂⁵×C₄	C₂⁵	1	1	yes	characteristic
557	C₂⁵×C₄	C₂⁵	1	3	yes	—
558	C₂⁵×C₄	C₂⁵	1	3	yes	—
559	C₂⁵×C₄	C₂⁵	1	3	yes	—
560	C₂⁵×C₄	C₂⁵	1	9	yes	—
561	C₂⁵×C₄	C₂⁵	1	9	yes	—
562	C₂⁵×C₄	C₂⁵	1	1	yes	characteristic
563	C₂⁵×C₄	C₂⁵	1	9	yes	—
564	C₂⁵×C₄	C₂⁵	1	36	yes	—
565	C₂⁵×C₄	C₂⁵	1	12	yes	—
566	C₂⁵×C₄	C₂⁵	1	12	yes	—
567	C₂⁵×C₄	C₂⁵	1	36	yes	—
568	C₂⁵×C₄	C₂⁵	1	12	yes	—
569	C₂⁵×C₄	C₂⁵	1	36	yes	—
570	C₂⁵×C₄	C₂⁵	1	3	yes	—
571	C₂⁵×C₄	C₂⁵	1	3	yes	—
572	C₂⁵×C₄	C₂⁵	1	4	yes	—
573	C₂²×#120	#120	1	768	yes	—
574	C₂²×#120	#121	1	768	yes	—
575	C₂²×#120	#127	1	256	yes	—
576	C₂²×#120	C₂²×D₄	1	192	yes	—
577	C₂²×#120	C₂²×D₄	1	192	yes	—
578	C₂²×#120	C₂²×D₄	1	192	yes	complemented
579	C₂²×#120	C₂²×D₄	1	576	yes	complemented
580	C₂²×#120	C₂²×D₄	1	576	yes	complemented
581	C₂²×#120	C₂×#41	1	64	yes	—
582	C₂²×C₄×D₄	C₂²×D₄	1	576	yes	complemented
583	C₂³×C₄⋊C₄	C₂²×D₄	1	72	yes	complemented
584	C₂³×C₄⋊C₄	C₂⁵	1	36	yes	—
585	C₂³×C₄⋊C₄	C₂⁵	1	12	yes	—
586	C₂³×C₄⋊C₄	C₂⁵	1	36	yes	—
587	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
588	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
589	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
590	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
591	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
592	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
593	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
594	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
595	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	—
596	C₂³×C₂²⋊C₄	C₂²×D₄	1	576	yes	complemented
597	C₂³×C₂²⋊C₄	C₂²×D₄	1	144	yes	complemented
598	C₂³×C₂²⋊C₄	C₂²×D₄	1	576	yes	complemented
599	C₂³×C₂²⋊C₄	C₂²×D₄	1	72	yes	complemented
600	C₂³×C₂²⋊C₄	C₂×#41	1	24	yes	—
601	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
602	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
603	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
604	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
605	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
606	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
607	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
608	C₂³×C₂²⋊C₄	C₂⁵	1	72	yes	—
609	C₂³×C₂²⋊C₄	C₂⁵	1	72	yes	—
610	C₂³×C₂²⋊C₄	C₂⁵	1	72	yes	—
611	C₂³×C₂²⋊C₄	C₂⁵	1	72	yes	—
612	C₂³×C₂²⋊C₄	C₂⁵	1	72	yes	—
613	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
614	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
615	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
616	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
617	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
618	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
619	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
620	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
621	C₂³×C₂²⋊C₄	C₂⁵	1	144	yes	—
622	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
623	C₂³×C₂²⋊C₄	C₂⁵	1	72	yes	—
624	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
625	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
626	C₂³×C₂²⋊C₄	C₂⁵	1	36	yes	—
627	C₂³×C₂²⋊C₄	C₂⁵	1	12	yes	—
628	C₂³×C₄²	C₂²×D₄	1	72	yes	complemented
629	C₂³×C₄²	C₂⁵	1	12	yes	—
630	C₂³×C₄²	C₂⁵	1	36	yes	—
631	C₂×#392	#120	1	256	yes	direct product factor
632	C₂×#392	C₂²×D₄	1	192	yes	—
633	C₂×#392	C₂²×D₄	1	576	yes	complemented
634	C₂×#392	C₂²×D₄	1	576	yes	complemented
635	C₂×#392	C₂²×D₄	1	192	yes	complemented
636	C₂×#386	C₂²×D₄	1	576	yes	complemented
637	C₂×#385	C₂²×D₄	1	576	yes	complemented
638	C₂×#379	C₂²×D₄	1	192	yes	complemented
639	C₂×C₄×C₂²⋊C₄	C₂²×D₄	1	576	yes	complemented
640	C₂²×#95	C₂²×D₄	1	72	yes	—
641	C₂²×#95	C₂²×D₄	1	24	yes	—
642	C₂²×#95	C₂²×D₄	1	192	yes	complemented
643	C₂²×#95	C₂²×D₄	1	144	yes	complemented
644	C₂²×#95	C₂⁵	1	36	yes	—
645	C₂²×#95	C₂⁵	1	36	yes	—
646	C₂²×#95	C₂⁵	1	36	yes	—
647	C₂²×#95	C₂⁵	1	12	yes	—
648	C₂²×#95	C₂⁵	1	24	yes	—
649	C₂²×#95	C₂⁵	1	72	yes	—
650	C₂²×#95	C₂⁵	1	24	yes	—
651	C₂²×#95	C₂⁵	1	36	yes	—
652	C₂²×#95	C₂⁵	1	36	yes	—
653	C₂²×#95	C₂⁵	1	36	yes	—
654	C₂²×#95	C₂⁵	1	72	yes	—
655	C₂²×#95	C₂⁵	1	72	yes	—
656	C₂²×#95	C₂⁵	1	72	yes	—
657	C₂²×#95	C₂⁵	1	72	yes	—
658	C₂²×#95	C₂⁵	1	72	yes	—
659	C₂²×#95	C₂⁵	1	4	yes	—
660	C₂⁶	C₂×#120	1	192	yes	—
661	C₂⁶	C₂×#121	1	192	yes	—
662	C₂⁶	C₂×#127	1	64	yes	—
663	C₂⁶	D₄²	1	576	yes	complemented
664	C₂⁶	C₂³×D₄	1	12	yes	—
665	C₂⁶	C₂³×D₄	1	36	yes	—
666	C₂⁶	C₂³×D₄	1	36	yes	—
667	C₂⁶	C₂³×D₄	1	48	yes	—
668	C₂⁶	C₂³×D₄	1	12	yes	—
669	C₂⁶	C₂³×D₄	1	48	yes	—
670	C₂⁶	C₂³×D₄	1	12	yes	—
671	C₂⁶	C₂³×D₄	1	36	yes	—
672	C₂⁶	C₂³×D₄	1	12	yes	—
673	C₂⁶	C₂³×D₄	1	144	yes	—
674	C₂⁶	C₂³×D₄	1	144	yes	—
675	C₂⁶	C₂³×D₄	1	144	yes	—
676	C₂⁶	C₂³×D₄	1	36	yes	—
677	C₂⁶	C₂³×D₄	1	36	yes	—
678	C₂⁶	C₂³×D₄	1	12	yes	—
679	C₂⁶	C₂³×D₄	1	48	yes	complemented
680	C₂⁶	C₂²×#41	1	4	yes	—
681	C₂⁶	C₂²×#41	1	16	yes	—
682	C₂⁶	C₂²×#41	1	12	yes	—
683	C₂⁶	C₂×H(5,𝔽₂)	1	36	yes	—
684	C₂⁶	C₂×H(5,𝔽₂)	1	36	yes	—
685	C₂⁶	C₂×H(5,𝔽₂)	1	144	yes	—
686	C₂⁶	C₂×H(5,𝔽₂)	1	36	yes	—
687	C₂⁶	C₂×H(5,𝔽₂)	1	36	yes	—
688	C₂⁶	#585	1	12	yes	—
689	C₂⁶	C₂⁶	1	6	yes	—
690	C₂⁶	C₂⁶	1	18	yes	—
691	C₂⁶	C₂⁶	1	2	yes	—
692	C₂⁶	C₂⁶	1	6	yes	—
693	C₂⁶	C₂⁶	1	6	yes	—
694	C₂⁶	C₂⁶	1	1	yes	characteristic
695	C₂³×D₄	C₂×#120	1	576	yes	—
696	C₂³×D₄	C₂×#120	1	192	yes	complemented
697	C₂³×D₄	C₂×#121	1	576	yes	—
698	C₂³×D₄	C₂×#127	1	192	yes	—
699	C₂³×D₄	C₂³×D₄	1	144	yes	—
700	C₂³×D₄	C₂³×D₄	1	144	yes	—
701	C₂³×D₄	C₂³×D₄	1	288	yes	—
702	C₂³×D₄	C₂³×D₄	1	144	yes	—
703	C₂³×D₄	C₂³×D₄	1	144	yes	—
704	C₂³×D₄	C₂³×D₄	1	144	yes	—
705	C₂³×D₄	C₂³×D₄	1	144	yes	complemented
706	C₂³×D₄	C₂³×D₄	1	144	yes	complemented
707	C₂³×D₄	C₂²×#41	1	48	yes	—
708	C₂⁴×C₄	D₄²	1	576	yes	complemented
709	C₂⁴×C₄	C₂³×D₄	1	12	yes	—
710	C₂⁴×C₄	C₂³×D₄	1	12	yes	—
711	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
712	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
713	C₂⁴×C₄	C₂³×D₄	1	12	yes	—
714	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
715	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
716	C₂⁴×C₄	C₂³×D₄	1	144	yes	—
717	C₂⁴×C₄	C₂³×D₄	1	48	yes	—
718	C₂⁴×C₄	C₂³×D₄	1	144	yes	—
719	C₂⁴×C₄	C₂³×D₄	1	144	yes	—
720	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
721	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
722	C₂⁴×C₄	C₂³×D₄	1	36	yes	—
723	C₂⁴×C₄	C₂³×D₄	1	12	yes	—
724	C₂⁴×C₄	C₂³×D₄	1	48	yes	complemented
725	C₂⁴×C₄	C₂³×D₄	1	144	yes	complemented
726	C₂⁴×C₄	C₂²×#41	1	12	yes	—
727	C₂⁴×C₄	C₂×H(5,𝔽₂)	1	36	yes	—
728	C₂⁴×C₄	C₂×H(5,𝔽₂)	1	144	yes	—
729	C₂⁴×C₄	C₂×H(5,𝔽₂)	1	36	yes	—
730	C₂⁴×C₄	C₂⁶	1	2	yes	—
731	C₂⁴×C₄	C₂⁶	1	6	yes	—
732	C₂⁴×C₄	C₂⁶	1	6	yes	—
733	C₂⁴×C₄	C₂⁶	1	6	yes	—
734	C₂⁴×C₄	C₂⁶	1	18	yes	—
735	C₂⁴×C₄	C₂⁶	1	18	yes	—
736	C₂⁴×C₄	C₂⁶	1	2	yes	—
737	C₂⁴×C₄	C₂⁶	1	18	yes	—
738	C₂⁴×C₄	C₂⁶	1	6	yes	—
739	C₂⁴×C₄	C₂⁶	1	6	yes	—
740	C₂×#120	#392	1	4096	yes	direct product factor
741	C₂×#120	C₂×#120	1	1536	yes	—
742	C₂×#120	C₂×#121	1	1536	yes	—
743	C₂×#120	C₂×#127	1	512	yes	—
744	C₂²×C₄⋊C₄	C₂³×D₄	1	144	yes	complemented
745	C₂²×C₂²⋊C₄	C₂×#120	1	576	yes	—
746	C₂²×C₂²⋊C₄	C₂×#120	1	192	yes	complemented
747	C₂²×C₂²⋊C₄	C₂×#121	1	576	yes	—
748	C₂²×C₂²⋊C₄	C₂×#127	1	192	yes	—
749	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
750	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
751	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
752	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
753	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
754	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
755	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
756	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
757	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	—
758	C₂²×C₂²⋊C₄	C₂³×D₄	1	288	yes	complemented
759	C₂²×C₂²⋊C₄	C₂³×D₄	1	144	yes	complemented
760	C₂²×C₂²⋊C₄	C₂²×#41	1	48	yes	—
761	C₂²×C₄²	C₂³×D₄	1	144	yes	complemented
762	#392	C₂×#120	1	512	yes	direct product factor
763	C₂×#95	C₂×#120	1	64	yes	complemented
764	C₂×#95	C₂³×D₄	1	144	yes	—
765	C₂×#95	C₂³×D₄	1	48	yes	—
766	C₂×#95	C₂³×D₄	1	288	yes	complemented
767	C₂⁵	C₂×#392	1	512	yes	complemented
768	C₂⁵	C₂²×#120	1	48	yes	—
769	C₂⁵	C₂²×#120	1	192	yes	—
770	C₂⁵	C₂²×#120	1	48	yes	—
771	C₂⁵	C₂²×#120	1	144	yes	—
772	C₂⁵	C₂²×#121	1	192	yes	—
773	C₂⁵	C₂²×#121	1	48	yes	—
774	C₂⁵	C₂²×#121	1	144	yes	—
775	C₂⁵	C₂²×#127	1	16	yes	—
776	C₂⁵	C₂²×#127	1	64	yes	—
777	C₂⁵	C₂²×#127	1	48	yes	—
778	C₂⁵	C₂×D₄²	1	144	yes	—
779	C₂⁵	C₂×D₄²	1	144	yes	—
780	C₂⁵	C₂×D₄²	1	144	yes	—
781	C₂⁵	C₂×D₄²	1	144	yes	—
782	C₂⁵	C₂×D₄²	1	576	yes	complemented
783	C₂⁵	D₄×#41	1	48	yes	—
784	C₂⁵	#3484	1	144	yes	—
785	C₂⁵	#3484	1	144	yes	—
786	C₂⁵	#3484	1	288	yes	—
787	C₂⁵	#3488	1	144	yes	—
788	C₂⁵	#3496	1	144	yes	—
789	C₂⁵	#3498	1	144	yes	—
790	C₂⁵	#3519	1	144	yes	—
791	C₂⁵	C₂⁴×D₄	1	12	yes	—
792	C₂⁵	C₂⁴×D₄	1	36	yes	—
793	C₂⁵	C₂⁴×D₄	1	36	yes	—
794	C₂⁵	C₂⁴×D₄	1	36	yes	—
795	C₂⁵	C₂⁴×D₄	1	12	yes	—
796	C₂⁵	C₂⁴×D₄	1	12	yes	—
797	C₂⁵	C₂⁴×D₄	1	12	yes	—
798	C₂⁵	C₂⁴×D₄	1	36	yes	—
799	C₂⁵	C₂⁴×D₄	1	36	yes	—
800	C₂⁵	C₂⁴×D₄	1	12	yes	—
801	C₂⁵	C₂⁴×D₄	1	6	yes	—
802	C₂⁵	C₂⁴×D₄	1	6	yes	—
803	C₂⁵	C₂⁴×D₄	1	6	yes	—
804	C₂⁵	C₂³×#41	1	4	yes	—
805	C₂⁵	C₂³×#41	1	12	yes	—
806	C₂⁵	C₂³×#41	1	2	yes	—
807	C₂⁵	C₂²×H(5,𝔽₂)	1	36	yes	—
808	C₂⁵	C₂²×H(5,𝔽₂)	1	36	yes	—
809	C₂⁵	C₂²×H(5,𝔽₂)	1	36	yes	—
810	C₂⁵	C₂²×H(5,𝔽₂)	1	36	yes	—
811	C₂⁵	C₂²×H(5,𝔽₂)	1	18	yes	—
812	C₂⁵	C₂²×H(5,𝔽₂)	1	18	yes	—
813	C₂⁵	C₂×#585	1	12	yes	—
814	C₂⁵	C₂×#585	1	6	yes	—
815	C₂⁵	C₂⁷	1	1	yes	characteristic
816	C₂²×D₄	C₂×#392	1	1536	yes	complemented
817	C₂²×D₄	C₂²×#120	1	576	yes	—
818	C₂²×D₄	C₂²×#120	1	192	yes	complemented
819	C₂²×D₄	C₂²×#121	1	576	yes	—
820	C₂²×D₄	C₂²×#127	1	192	yes	—
821	C₂³×C₄	C₂²×#120	1	16	yes	—
822	C₂³×C₄	C₂²×#120	1	144	yes	—
823	C₂³×C₄	C₂²×#120	1	48	yes	—
824	C₂³×C₄	C₂²×#121	1	144	yes	—
825	C₂³×C₄	C₂²×#127	1	48	yes	—
826	C₂³×C₄	C₂×D₄²	1	144	yes	—
827	C₂³×C₄	C₂×D₄²	1	144	yes	—
828	C₂³×C₄	C₂×D₄²	1	576	yes	complemented
829	C₂³×C₄	#3484	1	144	yes	—
830	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
831	C₂³×C₄	C₂⁴×D₄	1	12	yes	—
832	C₂³×C₄	C₂⁴×D₄	1	12	yes	—
833	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
834	C₂³×C₄	C₂⁴×D₄	1	12	yes	—
835	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
836	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
837	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
838	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
839	C₂³×C₄	C₂⁴×D₄	1	36	yes	—
840	C₂³×C₄	C₂⁴×D₄	1	12	yes	—
841	C₂³×C₄	C₂³×#41	1	12	yes	—
842	C₂³×C₄	C₂²×H(5,𝔽₂)	1	36	yes	—
843	C₂³×C₄	C₂²×H(5,𝔽₂)	1	36	yes	—
844	#120	C₂×#392	1	4096	yes	direct product factor
845	C₂×C₂²⋊C₄	C₂×#392	1	1536	yes	complemented
846	C₂×C₂²⋊C₄	C₂²×#120	1	576	yes	—
847	C₂×C₂²⋊C₄	C₂²×#120	1	192	yes	complemented
848	C₂×C₂²⋊C₄	C₂²×#121	1	576	yes	—
849	C₂×C₂²⋊C₄	C₂²×#127	1	192	yes	—
850	#95	C₂²×#120	1	64	yes	complemented
851	C₂⁴	C₂²×#392	1	192	yes	—
852	C₂⁴	C₂²×#392	1	256	yes	complemented
853	C₂⁴	C₂²×#392	1	64	yes	complemented
854	C₂⁴	#35680	1	576	yes	—
855	C₂⁴	#35691	1	576	yes	—
856	C₂⁴	#35921	1	192	yes	—
857	C₂⁴	D₄×#120	1	576	yes	—
858	C₂⁴	D₄×#120	1	192	yes	complemented
859	C₂⁴	D₄×#121	1	576	yes	—
860	C₂⁴	D₄×#127	1	192	yes	—
861	C₂⁴	C₂³×#120	1	24	yes	—
862	C₂⁴	C₂³×#120	1	24	yes	—
863	C₂⁴	C₂³×#120	1	72	yes	—
864	C₂⁴	C₂³×#120	1	12	yes	—
865	C₂⁴	C₂³×#120	1	4	yes	—
866	C₂⁴	C₂³×#121	1	24	yes	—
867	C₂⁴	C₂³×#121	1	72	yes	—
868	C₂⁴	C₂³×#121	1	12	yes	—
869	C₂⁴	C₂³×#127	1	8	yes	—
870	C₂⁴	C₂³×#127	1	24	yes	—
871	C₂⁴	C₂³×#127	1	4	yes	—
872	C₂⁴	C₂²×D₄²	1	72	yes	—
873	C₂⁴	C₂²×D₄²	1	72	yes	—
874	C₂⁴	C₂²×D₄²	1	72	yes	—
875	C₂⁴	C₂²×D₄²	1	72	yes	—
876	C₂⁴	C₂²×D₄²	1	36	yes	—
877	C₂⁴	C₂²×D₄²	1	36	yes	—
878	C₂⁴	C₂×D₄×#41	1	24	yes	—
879	C₂⁴	C₂×D₄×#41	1	12	yes	—
880	C₂⁴	C₂×#3484	1	72	yes	—
881	C₂⁴	C₂×#3484	1	144	yes	—
882	C₂⁴	C₂×#3484	1	72	yes	—
883	C₂⁴	C₂×#3484	1	36	yes	—
884	C₂⁴	C₂×#3484	1	72	yes	—
885	C₂⁴	C₂×#3484	1	36	yes	—
886	C₂⁴	C₂×#3484	1	36	yes	—
887	C₂⁴	C₂×#3496	1	72	yes	—
888	C₂⁴	C₂×#3496	1	36	yes	—
889	C₂⁴	C₂×#3519	1	72	yes	—
890	C₂⁴	C₂×#3519	1	36	yes	—
891	C₂⁴	C₂×#3488	1	72	yes	—
892	C₂⁴	C₂×#3488	1	36	yes	—
893	C₂⁴	C₂×#3498	1	72	yes	—
894	C₂⁴	C₂×#3498	1	36	yes	—
895	C₂⁴	#62811	1	12	yes	—
896	C₂⁴	#62817	1	72	yes	—
897	C₂⁴	#62818	1	72	yes	—
898	C₂⁴	#62832	1	24	yes	—
899	C₂⁴	C₂⁵×D₄	1	3	yes	—
900	C₂⁴	C₂⁵×D₄	1	3	yes	—
901	C₂⁴	C₂⁵×D₄	1	3	yes	—
902	C₂⁴	C₂⁴×#41	1	1	yes	characteristic
903	C₂⁴	C₂³×H(5,𝔽₂)	1	9	yes	—
904	C₂⁴	C₂³×H(5,𝔽₂)	1	9	yes	—
905	C₂⁴	C₂²×#585	1	3	yes	—
906	C₂×D₄	C₂²×#392	1	768	yes	complemented
907	C₂²×C₄	C₂²×#392	1	192	yes	complemented
908	C₂²×C₄	D₄×#120	1	192	yes	complemented
909	C₂²×C₄	C₂³×#120	1	8	yes	—
910	C₂²×C₄	C₂³×#120	1	24	yes	—
911	C₂²×C₄	C₂³×#120	1	72	yes	—
912	C₂²×C₄	C₂³×#121	1	72	yes	—
913	C₂²×C₄	C₂³×#127	1	24	yes	—
914	C₂²×C₄	C₂²×D₄²	1	72	yes	—
915	C₂²×C₄	C₂²×D₄²	1	72	yes	—
916	C₂²×C₄	C₂×#3484	1	72	yes	—
917	C₂²⋊C₄	C₂²×#392	1	768	yes	complemented
918	C₂³	D₄×#392	1	768	yes	complemented
919	C₂³	C₂³×#392	1	48	yes	—
920	C₂³	C₂³×#392	1	8	yes	—
921	C₂³	C₂³×#392	1	16	yes	complemented
922	C₂³	C₂×#35680	1	144	yes	—
923	C₂³	C₂×#35680	1	72	yes	—
924	C₂³	C₂×#35691	1	144	yes	—
925	C₂³	C₂×#35691	1	72	yes	—
926	C₂³	C₂×#35921	1	48	yes	—
927	C₂³	C₂×#35921	1	24	yes	—
928	C₂³	C₂×D₄×#120	1	144	yes	—
929	C₂³	C₂×D₄×#120	1	72	yes	—
930	C₂³	C₂×D₄×#120	1	24	yes	—
931	C₂³	C₂×D₄×#120	1	24	yes	—
932	C₂³	C₂×D₄×#120	1	48	yes	complemented
933	C₂³	C₂×D₄×#121	1	144	yes	—
934	C₂³	C₂×D₄×#121	1	72	yes	—
935	C₂³	C₂×D₄×#127	1	48	yes	—
936	C₂³	C₂×D₄×#127	1	24	yes	—
937	C₂³	#41×#120	1	8	yes	—
938	C₂³	#7670203	1	144	yes	—
939	C₂³	#7670203	1	72	yes	—
940	C₂³	#7670204	1	72	yes	—
941	C₂³	#7670220	1	72	yes	—
942	C₂³	#7671870	1	72	yes	—
943	C₂³	#7671946	1	72	yes	—
944	C₂³	#7744685	1	144	yes	—
945	C₂³	#7744932	1	144	yes	—
946	C₂³	#7744942	1	48	yes	—
947	C₂³	C₂⁴×#120	1	1	yes	characteristic
948	C₂³	C₂⁴×#120	1	3	yes	—
949	C₂³	C₂⁴×#121	1	3	yes	—
950	C₂³	C₂⁴×#127	1	1	yes	characteristic
951	C₂³	C₂³×D₄²	1	9	yes	—
952	C₂³	C₂³×D₄²	1	9	yes	—
953	C₂³	C₂²×D₄×#41	1	3	yes	—
954	C₂³	C₂²×#3484	1	9	yes	—
955	C₂³	C₂²×#3484	1	9	yes	—
956	C₂³	C₂²×#3484	1	18	yes	—
957	C₂³	C₂²×#3484	1	9	yes	—
958	C₂³	C₂²×#3496	1	9	yes	—
959	C₂³	C₂²×#3519	1	9	yes	—
960	C₂³	C₂²×#3488	1	9	yes	—
961	C₂³	C₂²×#3498	1	9	yes	—
962	C₂³	C₂×#62811	1	3	yes	—
963	C₂³	C₂×#62817	1	18	yes	—
964	C₂³	C₂×#62818	1	18	yes	—
965	C₂³	C₂×#62832	1	6	yes	—
966	C₂×C₄	C₂³×#392	1	48	yes	complemented
967	C₂×C₄	C₂×D₄×#120	1	48	yes	complemented
968	C₂²	#120²	1	48	yes	—
969	C₂²	C₂×#7670203	1	9	yes	—
970	C₂²	C₂×#7670203	1	18	yes	—
971	C₂²	C₂²×#35680	1	9	yes	—
972	C₂²	C₂²×D₄×#120	1	9	yes	—
973	C₂²	C₂²×D₄×#120	1	3	yes	—
974	C₂²	C₂²×D₄×#120	1	3	yes	—
975	C₂²	C₂×D₄×#392	1	48	yes	—
976	C₂²	C₂×D₄×#392	1	96	yes	complemented
977	C₂²	#120×#127	1	16	yes	—
978	C₂²	#120×#121	1	48	yes	—
979	C₂²	#72233877	1	144	yes	—
980	C₂²	C₂×#7744685	1	18	yes	—
981	C₂²	C₂×#7744932	1	18	yes	—
982	C₂²	C₂×#7670204	1	9	yes	—
983	C₂²	C₂×#7671870	1	9	yes	—
984	C₂²	C₂×#7671946	1	9	yes	—
985	C₂²	C₂²×#35691	1	9	yes	—
986	C₂²	C₂²×#35921	1	3	yes	—
987	C₂²	C₂×#7744942	1	6	yes	—
988	C₂²	C₂×#7670220	1	9	yes	—
989	C₂²	C₂²×D₄×#127	1	3	yes	—
990	C₂²	C₂⁴×#392	1	1	yes	characteristic
991	C₂²	C₂×#41×#120	1	1	yes	characteristic
992	C₂²	C₂²×D₄×#121	1	9	yes	—
993	C₂²	#72279977	1	144	yes	—
994	C₂²	#72320249	1	48	yes	—
995	C₂	C₂×#72233877	1	9	yes	—
996	C₂	C₂×#120²	1	3	yes	—
997	C₂	C₂²×D₄×#392	1	3	yes	—
998	C₂	C₂×#72279977	1	9	yes	—
999	C₂	#120×#392	1	32	yes	direct product factor
1000	C₂	C₂×#120×#127	1	1	yes	characteristic
1001	C₂	C₂×#72320249	1	3	yes	—
1002	C₂	C₂×#120×#121	1	3	yes	—

	subgroup	G/H
center, socle	C₂⁶	C₂⁶
commutator, Frattini, cosocle	C₂⁵	C₂⁷
LCS	G ▷ C₂⁵ ▷ C₁
UCS	C₁ ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#95×#120	C₂	semidirect
2. C₂×#72278310	C₂	semidirect
3. C₂×C₂²⋊C₄×#392	C₂	semidirect
4. C₂×#72278357	C₂	semidirect
5. C₂×#72320310	C₂	semidirect
6. C₂×#72278330	C₂	semidirect
7. C₂×#72278348	C₂	semidirect
8. C₂×#72320282	C₂	semidirect
9. C₂×C₂²⋊C₄×#95	C₂²	semidirect
10. C₂×#153831	C₂²	semidirect
11. C₂×#154647	C₂²	semidirect
12. C₂×#158362	C₂²	semidirect
13. C₂×#154106	C₂²	semidirect
14. C₂×#154206	C₂²	semidirect
15. #120×#392	C₂	direct (N × H)
16. #95×#120	C₂²	semidirect
17. C₂²⋊C₄×#392	C₂²	semidirect
18. #72320310	C₂²	semidirect
19. #72320282	C₂²	semidirect
20. C₂×#154635	C₂²	semidirect
21. C₂×#158317	C₂²	semidirect
22. C₂×#156707	C₂²	semidirect
23. C₂×#158361	C₂²	semidirect
24. C₂×#72240113	C₂	semidirect
25. C₂×#72286393	C₂	semidirect
26. C₂×#154095	C₂²	semidirect
27. C₂×#154095	C₂²	semidirect
28. C₂⁵×#392	C₂	semidirect
29. C₂⁵×#95	C₂²	semidirect
30. C₂²×D₄×#392	C₂	semidirect
31. C₂²×D₄×#95	C₂²	semidirect
32. C₂²×C₄×#392	C₂²	semidirect
33. C₂²×#15123	C₂²	semidirect
34. C₂²×#14757	C₂²	semidirect
35. C₂²×#14757	C₂²	semidirect
36. C₂²×#15142	C₂²	semidirect
37. C₂²×#15124	C₂²	semidirect
38. C₂×#154077	C₂²	semidirect
39. #72286393	C₂²	semidirect
40. #72278357	C₂²	semidirect
41. #72278348	C₂²	semidirect
42. #72278330	C₂²	semidirect
43. #72278310	C₂²	semidirect
44. C₂²×C₂²⋊C₄×#120	C₂	semidirect
45. C₂²×#13995	C₂²	semidirect
46. C₂²×#13995	C₂²	semidirect
47. C₂²×C₂²⋊C₄²	C₂²	semidirect
48. C₂²×#13877	C₂²	semidirect
49. C₂⁶×C₂²⋊C₄	C₂²	semidirect
50. C₂³×D₄×#120	C₂	semidirect
51. C₂³×D₄×C₂²⋊C₄	C₂²	semidirect
52. C₂³×D₄×C₂²⋊C₄	C₂²	semidirect
53. C₂⁷×D₄	C₂²	semidirect
54. C₂³×#2847	C₂²	semidirect
55. C₂³×#2433	C₂²	semidirect
56. C₂³×#2410	C₂²	semidirect
59. C₂×#72233926	C₂	semidirect
60. C₂²×#14716	C₂²	semidirect
61. C₂²×#14716	C₂²	semidirect
62. C₂²×#14716	C₂²	semidirect
63. C₂³×#2408	C₂²	semidirect
64. C₂²×#13967	C₂²	semidirect
65. C₂²×#13967	C₂²	semidirect
66. C₂×#156709	C₂²	semidirect
67. C₂×#154094	C₂²	semidirect
68. C₂×#154094	C₂²	semidirect
69. C₂×#154094	C₂²	semidirect
70. C₂×#156684	C₂²	semidirect
71. C₂×#156706	C₂²	semidirect
72. C₂×#156706	C₂²	semidirect
73. C₂×#154195	C₂²	semidirect
74. C₂×#154195	C₂²	semidirect
75. C₂×#154255	C₂²	semidirect
76. C₂×#158314	C₂²	semidirect
77. C₂×#154634	C₂²	semidirect
78. C₂×C₂²⋊C₄×#120	C₂²	semidirect
80. C₂⁴×#392	C₂²	semidirect
81. C₂⁴×#392	C₂²	semidirect
82. C₂⁴×#392	C₂²	semidirect
83. C₂⁴×#392	C₂²	semidirect
84. C₂⁴×#392	C₂²	semidirect
85. C₂²×#14694	C₂²	semidirect
86. C₂²×#14694	C₂²	semidirect
88. C₂²×#13867	C₂²	semidirect
89. C₂²×#14715	C₂²	semidirect
90. C₂²×#14715	C₂²	semidirect
91. C₂²×#14715	C₂²	semidirect
92. C₂²×#14715	C₂²	semidirect
93. C₂×#153827	C₂²	semidirect
94. #72240113	C₂²	semidirect
95. #72233926	C₂²	semidirect
96. C₂³×#2403	C₂²	semidirect
97. C₂²×#14679	C₂²	semidirect
98. C₂×D₄×#392	C₂²	semidirect
99. C₂²×D₄×#120	C₂²	semidirect
100. C₂⁴×D₄²	C₂²	semidirect
101. C₂³×#2846	C₂²	semidirect
107. C₂⁶×D₄	C₂³	semidirect
108. C₂⁶×D₄	C₂³	semidirect
111. C₂³×D₄²	C₂³	semidirect
112. C₂⁴×#127	C₂³	semidirect
114. C₂⁴×#121	C₂³	semidirect
115. C₂⁴×#121	C₂³	semidirect
116. C₂⁴×#120	D₄	semidirect
124. C₂⁴×#120	C₂³	semidirect
127. C₂⁴×C₄×D₄	C₂³	semidirect
133. C₂⁵×C₂²⋊C₄	C₂³	semidirect
134. C₂⁵×C₂²⋊C₄	C₂³	semidirect
135. C₂²×#2847	C₂³	semidirect
136. C₂²×#2846	C₂³	semidirect
137. C₂²×#2433	C₂³	semidirect
138. C₂²×#2408	C₂³	semidirect
139. C₂²×#2410	C₂³	semidirect
140. C₂²×#2403	C₂³	semidirect
141. C₂³×#394	C₂³	semidirect
142. C₂³×#392	D₄	semidirect
151. C₂³×#392	C₂³	semidirect
152. C₂³×#392	C₂³	semidirect
153. C₂³×#392	C₂³	semidirect
154. C₂³×#392	C₂³	semidirect
155. C₂³×#392	C₂³	semidirect
156. C₂³×#392	C₂³	semidirect
157. C₂³×#392	C₂³	semidirect
158. C₂³×#392	C₂³	semidirect
159. C₂³×#392	C₂³	semidirect
160. C₂³×#392	C₂³	semidirect
161. C₂³×#392	C₂³	semidirect
162. C₂³×#392	C₂³	semidirect
163. C₂³×#392	C₂³	semidirect
164. C₂²×D₄×C₂²⋊C₄	C₂³	semidirect
165. C₂²×D₄×C₂²⋊C₄	C₂³	semidirect
166. C₂²×C₄×#120	D₄	semidirect
169. C₂³×#390	C₂³	semidirect
170. C₂³×#390	C₂³	semidirect
171. C₂³×#390	C₂³	semidirect
179. C₂³×#386	C₂³	semidirect
180. C₂³×#386	C₂³	semidirect
181. C₂³×#386	C₂³	semidirect
185. C₂³×#380	C₂³	semidirect
194. C₂³×#379	C₂³	semidirect
197. C₂³×C₄×C₂²⋊C₄	C₂³	semidirect
200. C₂⁴×#95	C₂³	semidirect
201. C₂⁴×#95	C₂³	semidirect
202. C₂×#15142	C₂³	semidirect
203. C₂×#15124	C₂³	semidirect
204. C₂×#15123	C₂³	semidirect
205. C₂×#14757	C₂³	semidirect
206. C₂×#14757	C₂³	semidirect
207. C₂×#14716	C₂³	semidirect
208. C₂×#14716	C₂³	semidirect
209. C₂×#14716	C₂³	semidirect
210. C₂×#14715	C₂³	semidirect
211. C₂×#14715	C₂³	semidirect
212. C₂×#14715	C₂³	semidirect
213. C₂×#14715	C₂³	semidirect
214. C₂×#14694	C₂³	semidirect
215. C₂×#14694	C₂³	semidirect
216. C₂×#14679	C₂³	semidirect
217. C₂×#13995	C₂³	semidirect
218. C₂×#13995	C₂³	semidirect
219. C₂×#13967	C₂³	semidirect
220. C₂×#13967	C₂³	semidirect
221. C₂×#13877	C₂³	semidirect
222. C₂×#13867	C₂³	semidirect
223. C₂×C₄×#392	C₂³	semidirect
224. C₂²×#1444	C₂³	semidirect
225. C₂²×#1439	C₂³	semidirect
226. C₂²×#1439	C₂³	semidirect
227. C₂²×#1439	C₂³	semidirect
228. C₂²×#1439	C₂³	semidirect
229. C₂²×#1439	C₂³	semidirect
230. C₂²×#1439	C₂³	semidirect
231. C₂²×#1438	C₂³	semidirect
232. C₂²×#1438	C₂³	semidirect
233. C₂²×#1438	C₂³	semidirect
234. C₂²×#1438	C₂³	semidirect
235. C₂²×#1438	C₂³	semidirect
236. C₂²×#1438	C₂³	semidirect
237. C₂²×#1438	C₂³	semidirect
238. C₂²×#1438	C₂³	semidirect
239. C₂²×#1438	C₂³	semidirect
240. C₂²×#1438	C₂³	semidirect
241. C₂²×#1438	C₂³	semidirect
242. C₂²×#1438	C₂³	semidirect
243. C₂²×#1438	C₂³	semidirect
244. C₂×D₄×#95	C₂³	semidirect
245. C₂×C₂²⋊C₄²	C₂³	semidirect
246. C₂²×#1437	C₂³	semidirect
247. C₂²×#1437	C₂³	semidirect
248. C₂²×C₄⋊#95	C₂³	semidirect
256. C₂²×C₂²⋊#95	C₂³	semidirect
257. C₂²×C₂²⋊#95	C₂³	semidirect
258. C₂²×C₄×#95	C₂³	semidirect
259. #158362	C₂³	semidirect
260. #158361	C₂³	semidirect
261. #158317	C₂³	semidirect
262. #158314	C₂³	semidirect
263. #156709	C₂³	semidirect
264. #156707	C₂³	semidirect
265. #156706	C₂³	semidirect
266. #156706	C₂³	semidirect
267. #156684	C₂³	semidirect
268. #154647	C₂³	semidirect
269. #154635	C₂³	semidirect
270. #154634	C₂³	semidirect
271. #154255	C₂³	semidirect
272. #154206	C₂³	semidirect
273. #154195	C₂³	semidirect
274. #154195	C₂³	semidirect
275. #154106	C₂³	semidirect
276. #154095	C₂³	semidirect
277. #154095	C₂³	semidirect
278. #154094	C₂³	semidirect
279. #154094	C₂³	semidirect
280. #154094	C₂³	semidirect
281. #154077	C₂³	semidirect
282. #153831	C₂³	semidirect
283. #153827	C₂³	semidirect
284. C₂×#7557	C₂³	semidirect
285. C₂×#7557	C₂³	semidirect
286. C₂×#7556	C₂³	semidirect
287. C₂×#7555	C₂³	semidirect
288. C₂×#7555	C₂³	semidirect
289. C₂×#7555	C₂³	semidirect
290. C₂×#7555	C₂³	semidirect
291. C₂×#7555	C₂³	semidirect
292. C₂²⋊C₄×#95	C₂³	semidirect
293. C₂×#7554	C₂³	semidirect
294. C₂⁸	C₂×D₄	semidirect
300. C₂⁵×D₄	C₂×D₄	semidirect
301. C₂⁵×D₄	C₂×D₄	semidirect
317. C₂⁵×D₄	C₂⁴	semidirect
318. C₂⁶×C₄	C₂×D₄	semidirect
328. C₂³×#127	C₂⁴	semidirect
330. C₂³×#121	C₂⁴	semidirect
331. C₂³×#121	C₂⁴	semidirect
334. C₂³×#120	C₂×D₄	semidirect
335. C₂³×#120	C₂×D₄	semidirect
336. C₂³×#120	C₂×D₄	semidirect
337. C₂³×#120	C₂×D₄	semidirect
345. C₂³×#120	C₂⁴	semidirect
346. C₂³×C₄×D₄	C₂×D₄	semidirect
349. C₂³×C₄×D₄	C₂⁴	semidirect
353. C₂⁴×C₂²⋊C₄	C₂×D₄	semidirect
354. C₂⁴×C₂²⋊C₄	C₂×D₄	semidirect
387. C₂⁴×C₂²⋊C₄	C₂⁴	semidirect
390. C₂²×#394	C₂⁴	semidirect
392. C₂²×#392	C₂×D₄	semidirect
393. C₂²×#392	C₂×D₄	semidirect
394. C₂²×#392	C₂×D₄	semidirect
395. C₂²×#392	C₂×D₄	semidirect
403. C₂²×#392	C₂⁴	semidirect
404. C₂²×#392	C₂⁴	semidirect
405. C₂²×#392	C₂⁴	semidirect
406. C₂²×#392	C₂⁴	semidirect
407. C₂²×#392	C₂⁴	semidirect
408. C₂²×#392	C₂⁴	semidirect
409. C₂²×#392	C₂⁴	semidirect
410. C₂²×#392	C₂⁴	semidirect
411. C₂²×#392	C₂⁴	semidirect
412. C₂×C₄×#120	C₂×D₄	semidirect
413. C₂²×#390	C₂⁴	semidirect
414. C₂²×#390	C₂⁴	semidirect
415. C₂²×#390	C₂⁴	semidirect
416. C₂²×#386	C₂×D₄	semidirect
424. C₂²×#386	C₂⁴	semidirect
425. C₂²×#386	C₂⁴	semidirect
426. C₂²×#386	C₂⁴	semidirect
427. C₂²×#385	C₂×D₄	semidirect
431. C₂²×#380	C₂⁴	semidirect
432. C₂²×#379	C₂×D₄	semidirect
441. C₂²×#379	C₂⁴	semidirect
442. C₂²×C₄×C₂²⋊C₄	C₂×D₄	semidirect
445. C₂²×C₄×C₂²⋊C₄	C₂⁴	semidirect
446. C₂³×#95	C₂×D₄	semidirect
465. C₂³×#95	C₂⁴	semidirect
466. C₂×#1444	C₂⁴	semidirect
467. C₂×#1439	C₂⁴	semidirect
468. C₂×#1439	C₂⁴	semidirect
469. C₂×#1439	C₂⁴	semidirect
470. C₂×#1439	C₂⁴	semidirect
471. C₂×#1439	C₂⁴	semidirect
472. C₂×#1439	C₂⁴	semidirect
473. C₂×#1438	C₂⁴	semidirect
474. C₂×#1438	C₂⁴	semidirect
475. C₂×#1438	C₂⁴	semidirect
476. C₂×#1438	C₂⁴	semidirect
477. C₂×#1438	C₂⁴	semidirect
478. C₂×#1438	C₂⁴	semidirect
479. C₂×#1438	C₂⁴	semidirect
480. C₂×#1438	C₂⁴	semidirect
481. C₂×#1438	C₂⁴	semidirect
482. C₂×#1438	C₂⁴	semidirect
483. C₂×#1438	C₂⁴	semidirect
484. C₂×#1438	C₂⁴	semidirect
485. C₂×#1438	C₂⁴	semidirect
486. C₂×#1437	C₂⁴	semidirect
487. C₂×#1437	C₂⁴	semidirect
488. C₂×C₄⋊#95	C₂⁴	semidirect
496. C₂×C₂²⋊#95	C₂⁴	semidirect
497. C₂×C₂²⋊#95	C₂⁴	semidirect
498. C₂×C₄×#95	C₂⁴	semidirect
499. #7557	C₂⁴	semidirect
500. #7557	C₂⁴	semidirect
501. #7556	C₂⁴	semidirect
502. #7555	C₂⁴	semidirect
503. #7555	C₂⁴	semidirect
504. #7555	C₂⁴	semidirect
505. #7555	C₂⁴	semidirect
506. #7555	C₂⁴	semidirect
507. #7554	C₂⁴	semidirect
513. C₂⁷	C₂²×D₄	semidirect
514. C₂⁷	C₂²×D₄	semidirect
532. C₂⁴×D₄	C₂²×D₄	semidirect
533. C₂⁴×D₄	C₂²×D₄	semidirect
534. C₂⁴×D₄	C₂²×D₄	semidirect
535. C₂⁴×D₄	C₂²×D₄	semidirect
552. C₂⁵×C₄	C₂²×D₄	semidirect
553. C₂⁵×C₄	C₂²×D₄	semidirect
554. C₂⁵×C₄	C₂²×D₄	semidirect
578. C₂²×#120	C₂²×D₄	semidirect
579. C₂²×#120	C₂²×D₄	semidirect
580. C₂²×#120	C₂²×D₄	semidirect
582. C₂²×C₄×D₄	C₂²×D₄	semidirect
583. C₂³×C₄⋊C₄	C₂²×D₄	semidirect
596. C₂³×C₂²⋊C₄	C₂²×D₄	semidirect
597. C₂³×C₂²⋊C₄	C₂²×D₄	semidirect
598. C₂³×C₂²⋊C₄	C₂²×D₄	semidirect
599. C₂³×C₂²⋊C₄	C₂²×D₄	semidirect
628. C₂³×C₄²	C₂²×D₄	semidirect
631. C₂×#392	#120	direct (N × H)
633. C₂×#392	C₂²×D₄	semidirect
634. C₂×#392	C₂²×D₄	semidirect
635. C₂×#392	C₂²×D₄	semidirect
636. C₂×#386	C₂²×D₄	semidirect
637. C₂×#385	C₂²×D₄	semidirect
638. C₂×#379	C₂²×D₄	semidirect
639. C₂×C₄×C₂²⋊C₄	C₂²×D₄	semidirect
642. C₂²×#95	C₂²×D₄	semidirect
643. C₂²×#95	C₂²×D₄	semidirect
663. C₂⁶	D₄²	semidirect
679. C₂⁶	C₂³×D₄	semidirect
696. C₂³×D₄	C₂×#120	semidirect
705. C₂³×D₄	C₂³×D₄	semidirect
706. C₂³×D₄	C₂³×D₄	semidirect
708. C₂⁴×C₄	D₄²	semidirect
724. C₂⁴×C₄	C₂³×D₄	semidirect
725. C₂⁴×C₄	C₂³×D₄	semidirect
740. C₂×#120	#392	direct (N × H)
744. C₂²×C₄⋊C₄	C₂³×D₄	semidirect
746. C₂²×C₂²⋊C₄	C₂×#120	semidirect
758. C₂²×C₂²⋊C₄	C₂³×D₄	semidirect
759. C₂²×C₂²⋊C₄	C₂³×D₄	semidirect
761. C₂²×C₄²	C₂³×D₄	semidirect
762. #392	C₂×#120	direct (N × H)
763. C₂×#95	C₂×#120	semidirect
766. C₂×#95	C₂³×D₄	semidirect
767. C₂⁵	C₂×#392	semidirect
782. C₂⁵	C₂×D₄²	semidirect
816. C₂²×D₄	C₂×#392	semidirect
818. C₂²×D₄	C₂²×#120	semidirect
828. C₂³×C₄	C₂×D₄²	semidirect
844. #120	C₂×#392	direct (N × H)
845. C₂×C₂²⋊C₄	C₂×#392	semidirect
847. C₂×C₂²⋊C₄	C₂²×#120	semidirect
850. #95	C₂²×#120	semidirect
852. C₂⁴	C₂²×#392	semidirect
853. C₂⁴	C₂²×#392	semidirect
858. C₂⁴	D₄×#120	semidirect
906. C₂×D₄	C₂²×#392	semidirect
907. C₂²×C₄	C₂²×#392	semidirect
908. C₂²×C₄	D₄×#120	semidirect
917. C₂²⋊C₄	C₂²×#392	semidirect
918. C₂³	D₄×#392	semidirect
921. C₂³	C₂³×#392	semidirect
932. C₂³	C₂×D₄×#120	semidirect
966. C₂×C₄	C₂³×#392	semidirect
967. C₂×C₄	C₂×D₄×#120	semidirect
976. C₂²	C₂×D₄×#392	semidirect
999. C₂	#120×#392	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#95×#120	2
C₂×#72278310	2
C₂×C₂²⋊C₄×#392	2
C₂×#72278357	2
C₂×#72320310	2
C₂×#72278330	2
C₂×#72278348	2
C₂×#72320282	2
#120×#392	2
C₂×#72240113	2
C₂×#72286393	2
C₂⁵×#392	2
C₂²×D₄×#392	2
C₂²×C₂²⋊C₄×#120	2
C₂³×D₄×#120	2
C₂×#72233926	2

Subgroups — C2×#120×#392 #72320525

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#120×#392 #72320525