Subgroups — #72330700

Order 2048.

At least 9524 conjugacy classes of subgroups; only the 7376 normal subgroups are shown.

The subgroup lattice has 1017 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72330503	C₂	1	4	yes	maximal, complemented
2	#72330473	C₂	1	2	yes	maximal, complemented
3	#72330468	C₂	1	2	yes	maximal, complemented
4	#72330464	C₂	1	2	yes	maximal, complemented
5	#72330117	C₂	1	2	yes	maximal, complemented
6	#72330110	C₂	1	2	yes	maximal, complemented
7	#72330051	C₂	1	2	yes	maximal, complemented
8	#72329865	C₂	1	2	yes	maximal, complemented
9	#72323670	C₂	1	8	yes	maximal, complemented
10	#72302225	C₂	1	2	yes	maximal, complemented
11	#72298136	C₂	1	8	yes	maximal, complemented
12	#72287890	C₂	1	1	yes	maximal, characteristic, complemented
13	#72287882	C₂	1	1	yes	maximal, characteristic, complemented
14	#72287881	C₂	1	2	yes	maximal, complemented
15	#72278173	C₂	1	8	yes	maximal, complemented
16	#72250308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#34980	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#616960	C₂	1	2	yes	maximal, complemented
19	C₂³×#2403	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×#2403	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#612424	C₂	1	2	yes	maximal, complemented
22	C₂×#612424	C₂	1	1	yes	maximal, characteristic, complemented
23	#72218795	C₂	1	4	yes	maximal, complemented
24	#72218795	C₂	1	2	yes	maximal, complemented
25	C₂⁶×D₄	C₂²	1	1	yes	characteristic
26	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂³×#534	C₂²	1	2	yes	complemented
29	C₂⁴×#120	C₂²	1	2	yes	—
30	C₂⁴×#120	C₂²	1	1	yes	characteristic
31	C₂⁴×#120	C₂²	1	1	yes	characteristic
32	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
33	C₂⁴×#120	C₂²	1	2	yes	complemented
34	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#2849	C₂²	1	2	yes	complemented
36	C₂²×#2846	C₂²	1	2	yes	complemented
37	C₂²×#2846	C₂²	1	4	yes	complemented
38	C₂²×#2846	C₂²	1	2	yes	complemented
39	C₂²×#2405	C₂²	1	2	yes	complemented
40	C₂²×#2405	C₂²	1	2	yes	complemented
41	C₂²×#2410	C₂²	1	4	yes	complemented
42	C₂²×#2410	C₂²	1	4	yes	complemented
43	C₂²×#2403	C₂²	1	4	yes	—
44	C₂²×#2403	C₂²	1	2	yes	—
45	C₂²×#2403	C₂²	1	2	yes	—
46	C₂²×#2403	C₂²	1	2	yes	—
47	C₂²×#2403	C₂²	1	2	yes	—
48	C₂²×#2403	C₂²	1	2	yes	complemented
49	C₂²×#2403	C₂²	1	2	yes	complemented
50	C₂²×#2403	C₂²	1	4	yes	complemented
51	C₂²×#2403	C₂²	1	2	yes	complemented
52	C₂²×#2403	C₂²	1	4	yes	complemented
53	C₂²×#2403	C₂²	1	4	yes	complemented
54	C₂²×#2403	C₂²	1	4	yes	complemented
55	C₂²×#2403	C₂²	1	4	yes	complemented
56	C₂²×#2403	C₂²	1	2	yes	complemented
57	C₂²×#2403	C₂²	1	2	yes	complemented
58	C₂²×#2403	C₂²	1	8	yes	complemented
59	C₂²×#2613	C₂²	1	4	yes	complemented
60	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
61	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
62	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
63	C₂³×#392	C₂²	1	4	yes	complemented
64	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#2308	C₂²	1	2	yes	complemented
66	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
67	C₂³×#386	C₂²	1	2	yes	complemented
68	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
69	C₂³×#386	C₂²	1	2	yes	complemented
70	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
71	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
72	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
73	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
74	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
75	C₂×#15948	C₂²	1	8	yes	complemented
76	C₂×#15947	C₂²	1	8	yes	complemented
77	C₂×#15947	C₂²	1	8	yes	complemented
78	C₂×#15257	C₂²	1	16	yes	complemented
79	C₂×#14911	C₂²	1	4	yes	complemented
80	C₂×#14911	C₂²	1	4	yes	complemented
81	C₂×#14911	C₂²	1	4	yes	complemented
82	C₂×#14715	C₂²	1	4	yes	complemented
83	C₂×#14715	C₂²	1	4	yes	complemented
84	C₂×#14715	C₂²	1	4	yes	complemented
85	C₂×#14715	C₂²	1	4	yes	complemented
86	C₂×#14715	C₂²	1	16	yes	complemented
87	C₂×#14715	C₂²	1	4	yes	complemented
88	C₂×#14694	C₂²	1	2	yes	complemented
89	C₂×#14694	C₂²	1	4	yes	complemented
90	C₂×#14679	C₂²	1	2	yes	complemented
91	C₂×#14679	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14335	C₂²	1	2	yes	complemented
93	C₂×#14255	C₂²	1	4	yes	complemented
94	C₂×#14134	C₂²	1	4	yes	complemented
95	C₂×#13869	C₂²	1	2	yes	complemented
96	C₂×#13867	C₂²	1	2	yes	complemented
97	C₂×#13867	C₂²	1	4	yes	complemented
98	C₂×#13867	C₂²	1	8	yes	complemented
99	C₂×#13867	C₂²	1	2	yes	complemented
100	C₂×#13867	C₂²	1	2	yes	complemented
101	C₂×#13867	C₂²	1	2	yes	complemented
102	C₂×#13867	C₂²	1	2	yes	complemented
103	C₂×#13867	C₂²	1	2	yes	complemented
104	C₂×#13867	C₂²	1	2	yes	complemented
105	C₂×#13867	C₂²	1	2	yes	complemented
106	C₂×#13867	C₂²	1	4	yes	complemented
107	#158823	C₂²	1	16	yes	complemented
108	#158818	C₂²	1	16	yes	complemented
109	#157599	C₂²	1	16	yes	complemented
110	#156747	C₂²	1	8	yes	complemented
111	#156742	C₂²	1	8	yes	complemented
112	#156741	C₂²	1	8	yes	complemented
113	#156709	C₂²	1	16	yes	complemented
114	#156706	C₂²	1	16	yes	complemented
115	#156694	C₂²	1	8	yes	complemented
116	#156691	C₂²	1	16	yes	complemented
117	#156688	C₂²	1	16	yes	complemented
118	#156684	C₂²	1	8	yes	complemented
119	#156684	C₂²	1	8	yes	complemented
120	#156684	C₂²	1	16	yes	complemented
121	#156684	C₂²	1	8	yes	complemented
122	#156684	C₂²	1	8	yes	complemented
123	#155875	C₂²	1	16	yes	complemented
124	#155622	C₂²	1	4	yes	complemented
125	#155622	C₂²	1	4	yes	complemented
126	#155622	C₂²	1	4	yes	complemented
127	#155065	C₂²	1	16	yes	complemented
128	#155052	C₂²	1	8	yes	complemented
129	#154700	C₂²	1	8	yes	complemented
130	#154670	C₂²	1	8	yes	complemented
131	#154670	C₂²	1	8	yes	complemented
132	#154670	C₂²	1	8	yes	complemented
133	#154345	C₂²	1	4	yes	complemented
134	#154345	C₂²	1	4	yes	complemented
135	#154328	C₂²	1	4	yes	complemented
136	#154208	C₂²	1	8	yes	complemented
137	#154197	C₂²	1	8	yes	complemented
138	#154195	C₂²	1	4	yes	complemented
139	#154195	C₂²	1	4	yes	complemented
140	#154195	C₂²	1	4	yes	complemented
141	#154195	C₂²	1	4	yes	complemented
142	#154195	C₂²	1	4	yes	complemented
143	#154195	C₂²	1	4	yes	complemented
144	#154195	C₂²	1	4	yes	complemented
145	#154195	C₂²	1	8	yes	complemented
146	#154195	C₂²	1	8	yes	complemented
147	#154195	C₂²	1	4	yes	complemented
148	#154194	C₂²	1	8	yes	complemented
149	#154130	C₂²	1	2	yes	complemented
150	#154096	C₂²	1	2	yes	complemented
151	#154094	C₂²	1	4	yes	complemented
152	#154094	C₂²	1	2	yes	complemented
153	#154094	C₂²	1	4	yes	complemented
154	#154094	C₂²	1	2	yes	complemented
155	#154094	C₂²	1	2	yes	complemented
156	#154094	C₂²	1	8	yes	complemented
157	#154094	C₂²	1	2	yes	complemented
158	#154077	C₂²	1	2	yes	complemented
159	#153931	C₂²	1	2	yes	complemented
160	#153905	C₂²	1	4	yes	complemented
161	#153851	C₂²	1	2	yes	complemented
162	#153851	C₂²	1	2	yes	complemented
163	C₂⁸	C₂³	1	1	yes	characteristic
164	C₂⁸	C₂³	1	1	yes	characteristic
165	C₂⁸	C₂³	1	1	yes	characteristic, complemented
166	C₂⁸	C₂³	1	1	yes	characteristic, complemented
167	C₂⁵×D₄	D₄	1	16	yes	complemented
168	C₂⁵×D₄	C₂³	1	2	yes	—
169	C₂⁵×D₄	C₂³	1	1	yes	characteristic
170	C₂⁵×D₄	C₂³	1	2	yes	—
171	C₂⁵×D₄	C₂³	1	2	yes	—
172	C₂⁵×D₄	C₂³	1	4	yes	—
173	C₂⁵×D₄	C₂³	1	1	yes	characteristic
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	2	yes	—
179	C₂⁵×D₄	C₂³	1	4	yes	—
180	C₂⁵×D₄	C₂³	1	1	yes	characteristic
181	C₂⁵×D₄	C₂³	1	2	yes	—
182	C₂⁵×D₄	C₂³	1	1	yes	characteristic
183	C₂⁵×D₄	C₂³	1	1	yes	characteristic
184	C₂⁵×D₄	C₂³	1	1	yes	characteristic
185	C₂⁵×D₄	C₂³	1	1	yes	characteristic
186	C₂⁵×D₄	C₂³	1	1	yes	characteristic
187	C₂⁵×D₄	C₂³	1	2	yes	complemented
188	C₂⁵×D₄	C₂³	1	2	yes	complemented
189	C₂⁵×D₄	C₂³	1	2	yes	complemented
190	C₂⁵×D₄	C₂³	1	4	yes	complemented
191	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
192	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
193	C₂⁶×C₄	C₂³	1	1	yes	characteristic
194	C₂⁶×C₄	C₂³	1	1	yes	characteristic, complemented
195	C₂⁶×C₄	C₂³	1	1	yes	characteristic, complemented
196	C₂³×#123	C₂³	1	4	yes	—
197	C₂³×#123	C₂³	1	4	yes	complemented
198	C₂³×#121	C₂³	1	8	yes	complemented
199	C₂³×#120	D₄	1	16	yes	complemented
200	C₂³×#120	D₄	1	16	yes	complemented
201	C₂³×#120	C₂³	1	4	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	8	yes	—
206	C₂³×#120	C₂³	1	4	yes	—
207	C₂³×#120	C₂³	1	4	yes	—
208	C₂³×#120	C₂³	1	2	yes	—
209	C₂³×#120	C₂³	1	2	yes	—
210	C₂³×#120	C₂³	1	2	yes	—
211	C₂³×#120	C₂³	1	4	yes	—
212	C₂³×#120	C₂³	1	2	yes	—
213	C₂³×#120	C₂³	1	2	yes	—
214	C₂³×#120	C₂³	1	2	yes	—
215	C₂³×#120	C₂³	1	4	yes	—
216	C₂³×#120	C₂³	1	2	yes	—
217	C₂³×#120	C₂³	1	2	yes	—
218	C₂³×#120	C₂³	1	4	yes	—
219	C₂³×#120	C₂³	1	4	yes	—
220	C₂³×#120	C₂³	1	4	yes	complemented
221	C₂³×#120	C₂³	1	4	yes	complemented
222	C₂³×#120	C₂³	1	4	yes	complemented
223	C₂³×#120	C₂³	1	4	yes	complemented
224	C₂³×#120	C₂³	1	4	yes	complemented
225	C₂³×#120	C₂³	1	4	yes	complemented
226	C₂³×#120	C₂³	1	16	yes	complemented
227	C₂³×#120	C₂³	1	4	yes	complemented
228	C₂³×#120	C₂³	1	4	yes	complemented
229	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
233	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
239	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
240	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
241	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
242	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
243	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
244	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
245	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
246	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
247	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
248	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
249	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
250	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
251	C₂×#2403	D₄	1	32	yes	complemented
252	C₂×#2403	D₄	1	32	yes	complemented
253	C₂²×#394	C₂³	1	8	yes	complemented
254	C₂²×#394	C₂³	1	8	yes	complemented
255	C₂²×#392	C₂³	1	8	yes	—
256	C₂²×#392	C₂³	1	4	yes	—
257	C₂²×#392	C₂³	1	4	yes	—
258	C₂²×#392	C₂³	1	4	yes	—
259	C₂²×#392	C₂³	1	4	yes	—
260	C₂²×#392	C₂³	1	8	yes	—
261	C₂²×#392	C₂³	1	8	yes	—
262	C₂²×#392	C₂³	1	8	yes	—
263	C₂²×#392	C₂³	1	8	yes	complemented
264	C₂²×#392	C₂³	1	4	yes	complemented
265	C₂²×#392	C₂³	1	8	yes	complemented
266	C₂²×#392	C₂³	1	4	yes	complemented
267	C₂²×#392	C₂³	1	4	yes	complemented
268	C₂²×#392	C₂³	1	8	yes	complemented
269	C₂²×#392	C₂³	1	4	yes	complemented
270	C₂²×#392	C₂³	1	8	yes	complemented
271	C₂²×#392	C₂³	1	16	yes	complemented
272	C₂²×#392	C₂³	1	16	yes	complemented
273	C₂²×#392	C₂³	1	8	yes	complemented
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	4	yes	—
278	C₂²×#386	C₂³	1	4	yes	—
279	C₂²×#386	C₂³	1	4	yes	—
280	C₂²×#386	C₂³	1	4	yes	—
281	C₂²×#386	C₂³	1	8	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	4	yes	—
286	C₂²×#386	C₂³	1	4	yes	—
287	C₂²×#386	C₂³	1	4	yes	—
288	C₂²×#386	C₂³	1	4	yes	—
289	C₂²×#386	C₂³	1	4	yes	—
290	C₂²×#386	C₂³	1	8	yes	—
291	C₂²×#386	C₂³	1	4	yes	complemented
292	C₂²×#386	C₂³	1	4	yes	complemented
293	C₂²×#386	C₂³	1	4	yes	complemented
294	C₂²×#386	C₂³	1	4	yes	complemented
295	C₂²×#386	C₂³	1	8	yes	complemented
296	C₂²×#386	C₂³	1	4	yes	complemented
297	C₂²×#386	C₂³	1	4	yes	complemented
298	C₂²×#386	C₂³	1	4	yes	complemented
299	C₂²×#386	C₂³	1	8	yes	complemented
300	C₂²×#386	C₂³	1	4	yes	complemented
301	C₂²×#386	C₂³	1	8	yes	complemented
302	C₂²×#386	C₂³	1	16	yes	complemented
303	C₂²×#386	C₂³	1	4	yes	complemented
304	C₂²×#386	C₂³	1	8	yes	complemented
305	C₂²×#386	C₂³	1	8	yes	complemented
306	C₂²×#385	C₂³	1	4	yes	complemented
307	C₂²×#385	C₂³	1	4	yes	complemented
308	C₂²×#381	C₂³	1	4	yes	complemented
309	C₂²×#381	C₂³	1	4	yes	complemented
310	C₂²×#379	C₂³	1	2	yes	—
311	C₂²×#379	C₂³	1	2	yes	—
312	C₂²×#379	C₂³	1	4	yes	—
313	C₂²×#379	C₂³	1	2	yes	—
314	C₂²×#379	C₂³	1	2	yes	—
315	C₂²×#379	C₂³	1	8	yes	—
316	C₂²×#379	C₂³	1	2	yes	—
317	C₂²×#379	C₂³	1	2	yes	—
318	C₂²×#379	C₂³	1	2	yes	—
319	C₂²×#379	C₂³	1	4	yes	complemented
320	C₂²×#379	C₂³	1	2	yes	complemented
321	C₂²×#379	C₂³	1	2	yes	complemented
322	C₂²×#379	C₂³	1	2	yes	complemented
323	C₂²×#379	C₂³	1	2	yes	complemented
324	C₂²×#379	C₂³	1	4	yes	complemented
325	C₂²×#379	C₂³	1	4	yes	complemented
326	C₂²×#379	C₂³	1	4	yes	complemented
327	C₂²×#379	C₂³	1	16	yes	complemented
328	C₂²×#379	C₂³	1	4	yes	complemented
329	C₂²×#379	C₂³	1	4	yes	complemented
330	C₂²×#379	C₂³	1	4	yes	complemented
331	C₂²×#379	C₂³	1	4	yes	complemented
332	C₂²×#379	C₂³	1	4	yes	complemented
333	C₂²×#379	C₂³	1	2	yes	complemented
334	C₂²×#379	C₂³	1	2	yes	complemented
335	C₂²×#379	C₂³	1	4	yes	complemented
336	C₂²×#379	C₂³	1	2	yes	complemented
337	C₂²×#379	C₂³	1	4	yes	complemented
338	C₂²×#379	C₂³	1	8	yes	complemented
339	C₂²×#379	C₂³	1	2	yes	complemented
340	C₂³×#95	C₂³	1	1	yes	characteristic, complemented
341	C₂³×#95	C₂³	1	4	yes	complemented
342	C₂³×#95	C₂³	1	1	yes	characteristic, complemented
343	C₂³×#95	C₂³	1	1	yes	characteristic, complemented
344	C₂³×#95	C₂³	1	1	yes	characteristic, complemented
345	C₂×#1440	C₂³	1	16	yes	complemented
346	C₂×#1440	C₂³	1	8	yes	complemented
347	C₂×#1440	C₂³	1	8	yes	complemented
348	C₂×#1439	C₂³	1	16	yes	complemented
349	C₂×#1439	C₂³	1	16	yes	complemented
350	C₂×#1439	C₂³	1	16	yes	complemented
351	C₂×#1438	C₂³	1	8	yes	—
352	C₂×#1438	C₂³	1	8	yes	—
353	C₂×#1438	C₂³	1	16	yes	complemented
354	C₂×#1438	C₂³	1	16	yes	complemented
355	C₂×#1438	C₂³	1	8	yes	complemented
356	C₂×#1438	C₂³	1	8	yes	complemented
357	C₂×#1438	C₂³	1	8	yes	complemented
358	C₂×#1438	C₂³	1	16	yes	complemented
359	C₂×#1438	C₂³	1	8	yes	complemented
360	C₂×#1438	C₂³	1	8	yes	complemented
361	C₂×#1438	C₂³	1	16	yes	complemented
362	C₂×#1438	C₂³	1	8	yes	complemented
363	C₂×#1438	C₂³	1	16	yes	complemented
364	C₂×#1438	C₂³	1	8	yes	complemented
365	C₂×#1438	C₂³	1	8	yes	complemented
366	C₂×#1438	C₂³	1	8	yes	complemented
367	C₂×#1438	C₂³	1	16	yes	complemented
368	C₂×#1438	C₂³	1	8	yes	complemented
369	C₂×#1438	C₂³	1	8	yes	complemented
370	C₂×#1438	C₂³	1	16	yes	complemented
371	C₂×#1438	C₂³	1	16	yes	complemented
372	C₂×#1438	C₂³	1	8	yes	complemented
373	C₂×#1438	C₂³	1	16	yes	complemented
374	C₂×#1438	C₂³	1	8	yes	complemented
375	C₂×#1438	C₂³	1	8	yes	complemented
376	C₂×#1438	C₂³	1	8	yes	complemented
377	C₂×#1438	C₂³	1	16	yes	complemented
378	C₂×#1438	C₂³	1	8	yes	complemented
379	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
380	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
381	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
382	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
383	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
384	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
385	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
386	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
387	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
388	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
389	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
390	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
391	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
392	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
393	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
394	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
395	#7557	C₂³	1	16	yes	complemented
396	#7556	C₂³	1	16	yes	complemented
397	#7556	C₂³	1	16	yes	complemented
398	#7556	C₂³	1	16	yes	complemented
399	#7555	C₂³	1	16	yes	complemented
400	#7555	C₂³	1	8	yes	complemented
401	#7555	C₂³	1	16	yes	complemented
402	#7555	C₂³	1	16	yes	complemented
403	#7555	C₂³	1	8	yes	complemented
404	#7555	C₂³	1	16	yes	complemented
405	#7555	C₂³	1	16	yes	complemented
406	#7555	C₂³	1	16	yes	complemented
407	#7555	C₂³	1	8	yes	complemented
408	#7555	C₂³	1	8	yes	complemented
409	#7555	C₂³	1	16	yes	complemented
410	#7555	C₂³	1	8	yes	complemented
411	#7555	C₂³	1	16	yes	complemented
412	#7555	C₂³	1	8	yes	complemented
413	#7555	C₂³	1	8	yes	complemented
414	C₂⁷	C₂×D₄	1	8	yes	—
415	C₂⁷	C₂×D₄	1	8	yes	—
416	C₂⁷	C₂×D₄	1	8	yes	—
417	C₂⁷	C₂×D₄	1	8	yes	—
418	C₂⁷	C₂⁴	1	1	yes	characteristic
419	C₂⁷	C₂⁴	1	1	yes	characteristic
420	C₂⁷	C₂⁴	1	2	yes	—
421	C₂⁷	C₂⁴	1	1	yes	characteristic
422	C₂⁷	C₂⁴	1	1	yes	characteristic
423	C₂⁷	C₂⁴	1	1	yes	characteristic
424	C₂⁷	C₂⁴	1	1	yes	characteristic
425	C₂⁷	C₂⁴	1	2	yes	—
426	C₂⁷	C₂⁴	1	1	yes	characteristic
427	C₂⁷	C₂⁴	1	2	yes	—
428	C₂⁷	C₂⁴	1	2	yes	—
429	C₂⁷	C₂⁴	1	4	yes	—
430	C₂⁷	C₂⁴	1	1	yes	characteristic
431	C₂⁷	C₂⁴	1	1	yes	characteristic
432	C₂⁷	C₂⁴	1	2	yes	—
433	C₂⁷	C₂⁴	1	1	yes	characteristic
434	C₂⁷	C₂⁴	1	1	yes	characteristic
435	C₂⁴×D₄	C₂×D₄	1	8	yes	—
436	C₂⁴×D₄	C₂×D₄	1	16	yes	—
437	C₂⁴×D₄	C₂×D₄	1	8	yes	—
438	C₂⁴×D₄	C₂×D₄	1	16	yes	—
439	C₂⁴×D₄	C₂×D₄	1	16	yes	—
440	C₂⁴×D₄	C₂×D₄	1	8	yes	—
441	C₂⁴×D₄	C₂×D₄	1	16	yes	—
442	C₂⁴×D₄	C₂×D₄	1	16	yes	—
443	C₂⁴×D₄	C₂×D₄	1	8	yes	—
444	C₂⁴×D₄	C₂×D₄	1	16	yes	—
445	C₂⁴×D₄	C₂×D₄	1	16	yes	—
446	C₂⁴×D₄	C₂×D₄	1	8	yes	—
447	C₂⁴×D₄	C₂×D₄	1	8	yes	—
448	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
449	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
450	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
451	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
452	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
453	C₂⁴×D₄	C₂⁴	1	2	yes	—
454	C₂⁴×D₄	C₂⁴	1	4	yes	—
455	C₂⁴×D₄	C₂⁴	1	2	yes	—
456	C₂⁴×D₄	C₂⁴	1	2	yes	—
457	C₂⁴×D₄	C₂⁴	1	2	yes	—
458	C₂⁴×D₄	C₂⁴	1	2	yes	—
459	C₂⁴×D₄	C₂⁴	1	2	yes	—
460	C₂⁴×D₄	C₂⁴	1	4	yes	—
461	C₂⁴×D₄	C₂⁴	1	2	yes	—
462	C₂⁴×D₄	C₂⁴	1	4	yes	—
463	C₂⁴×D₄	C₂⁴	1	4	yes	—
464	C₂⁴×D₄	C₂⁴	1	4	yes	—
465	C₂⁴×D₄	C₂⁴	1	4	yes	—
466	C₂⁴×D₄	C₂⁴	1	2	yes	—
467	C₂⁴×D₄	C₂⁴	1	2	yes	—
468	C₂⁴×D₄	C₂⁴	1	8	yes	—
469	C₂⁴×D₄	C₂⁴	1	2	yes	—
470	C₂⁴×D₄	C₂⁴	1	2	yes	—
471	C₂⁴×D₄	C₂⁴	1	2	yes	—
472	C₂⁴×D₄	C₂⁴	1	2	yes	—
473	C₂⁴×D₄	C₂⁴	1	2	yes	—
474	C₂⁴×D₄	C₂⁴	1	2	yes	—
475	C₂⁴×D₄	C₂⁴	1	2	yes	—
476	C₂⁴×D₄	C₂⁴	1	8	yes	—
477	C₂⁴×D₄	C₂⁴	1	8	yes	—
478	C₂⁴×D₄	C₂⁴	1	2	yes	—
479	C₂⁴×D₄	C₂⁴	1	2	yes	—
480	C₂⁴×D₄	C₂⁴	1	2	yes	—
481	C₂⁴×D₄	C₂⁴	1	8	yes	—
482	C₂⁴×D₄	C₂⁴	1	2	yes	—
483	C₂⁵×C₄	C₂×D₄	1	8	yes	—
484	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
485	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
486	C₂⁵×C₄	C₂⁴	1	2	yes	—
487	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
488	C₂⁵×C₄	C₂⁴	1	2	yes	—
489	C₂⁵×C₄	C₂⁴	1	2	yes	—
490	C₂⁵×C₄	C₂⁴	1	4	yes	—
491	C₂⁵×C₄	C₂⁴	1	2	yes	—
492	C₂⁵×C₄	C₂⁴	1	4	yes	—
493	C₂⁵×C₄	C₂⁴	1	2	yes	—
494	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
495	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
496	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
497	C₂⁵×C₄	C₂⁴	1	4	yes	—
498	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
499	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
500	C₂²×#120	C₂×D₄	1	16	yes	—
501	C₂²×#120	C₂×D₄	1	32	yes	—
502	C₂²×#120	C₂×D₄	1	16	yes	—
503	C₂²×#120	C₂×D₄	1	16	yes	—
504	C₂²×#120	C₂×D₄	1	16	yes	—
505	C₂²×#120	C₂×D₄	1	16	yes	complemented
506	C₂²×#120	C₂×D₄	1	16	yes	complemented
507	C₂²×#120	C₂×D₄	1	16	yes	complemented
508	C₂²×#120	C₂×D₄	1	16	yes	complemented
509	C₂²×#120	C₂×D₄	1	32	yes	complemented
510	C₂²×#120	C₂×D₄	1	32	yes	complemented
511	C₂²×#120	C₂×D₄	1	32	yes	complemented
512	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
513	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
514	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
515	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
516	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
517	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
518	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
519	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
520	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
522	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
523	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
524	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
526	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
527	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
528	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
529	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
530	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
531	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
532	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
533	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
534	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
535	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
536	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
537	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
538	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
539	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
540	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
541	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
542	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
543	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
544	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
545	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
546	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
547	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
548	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
549	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
550	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
551	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
552	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
553	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
554	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
555	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
556	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
557	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
558	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
559	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
560	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
561	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
562	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
563	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
564	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
565	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
566	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
567	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
568	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
569	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
570	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
571	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
572	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
573	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
574	C₂×#392	C₂×D₄	1	64	yes	complemented
575	C₂×#392	C₂×D₄	1	64	yes	complemented
576	C₂×#386	C₂×D₄	1	32	yes	complemented
577	C₂×#386	C₂×D₄	1	32	yes	complemented
578	C₂×#386	C₂×D₄	1	32	yes	complemented
579	C₂×#386	C₂×D₄	1	32	yes	complemented
580	C₂×#379	C₂×D₄	1	16	yes	—
581	C₂×#379	C₂×D₄	1	16	yes	complemented
582	C₂²×#95	C₂⁴	1	8	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	4	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	16	yes	—
592	C₂²×#95	C₂⁴	1	8	yes	—
593	C₂²×#95	C₂⁴	1	8	yes	—
594	C₂²×#95	C₂⁴	1	16	yes	—
595	C₂²×#95	C₂⁴	1	16	yes	—
596	C₂²×#95	C₂⁴	1	16	yes	—
597	C₂²×#95	C₂⁴	1	16	yes	—
598	C₂²×#95	C₂⁴	1	16	yes	—
599	C₂²×#95	C₂⁴	1	16	yes	—
600	C₂²×#95	C₂⁴	1	16	yes	—
601	C₂⁶	#120	1	64	yes	complemented
602	C₂⁶	C₂²×D₄	1	4	yes	—
603	C₂⁶	C₂²×D₄	1	4	yes	—
604	C₂⁶	C₂²×D₄	1	4	yes	—
605	C₂⁶	C₂²×D₄	1	4	yes	—
606	C₂⁶	C₂²×D₄	1	8	yes	—
607	C₂⁶	C₂²×D₄	1	8	yes	—
608	C₂⁶	C₂²×D₄	1	4	yes	—
609	C₂⁶	C₂²×D₄	1	4	yes	—
610	C₂⁶	C₂²×D₄	1	4	yes	—
611	C₂⁶	C₂²×D₄	1	4	yes	—
612	C₂⁶	C₂²×D₄	1	4	yes	—
613	C₂⁶	C₂²×D₄	1	4	yes	—
614	C₂⁶	C₂²×D₄	1	4	yes	—
615	C₂⁶	C₂²×D₄	1	4	yes	—
616	C₂⁶	C₂²×D₄	1	8	yes	—
617	C₂⁶	C₂²×D₄	1	4	yes	—
618	C₂⁶	C₂²×D₄	1	4	yes	—
619	C₂⁶	C₂²×D₄	1	4	yes	—
620	C₂⁶	C₂²×D₄	1	8	yes	—
621	C₂⁶	C₂²×D₄	1	8	yes	—
622	C₂⁶	C₂²×D₄	1	4	yes	—
623	C₂⁶	C₂²×D₄	1	4	yes	—
624	C₂⁶	C₂²×D₄	1	4	yes	—
625	C₂⁶	C₂²×D₄	1	8	yes	—
626	C₂⁶	C₂²×D₄	1	4	yes	—
627	C₂⁶	C₂²×D₄	1	4	yes	—
628	C₂⁶	C₂²×D₄	1	4	yes	—
629	C₂⁶	C₂²×D₄	1	4	yes	—
630	C₂⁶	C₂²×D₄	1	4	yes	—
631	C₂⁶	C₂²×D₄	1	4	yes	—
632	C₂⁶	C₂²×D₄	1	4	yes	—
633	C₂⁶	C₂²×D₄	1	8	yes	—
634	C₂⁶	C₂²×D₄	1	8	yes	complemented
635	C₂⁶	H(5,𝔽₂)	1	16	yes	—
636	C₂⁶	H(5,𝔽₂)	1	8	yes	—
637	C₂⁶	H(5,𝔽₂)	1	8	yes	—
638	C₂⁶	C₂⁵	1	2	yes	—
639	C₂⁶	C₂⁵	1	1	yes	characteristic
640	C₂⁶	C₂⁵	1	4	yes	—
641	C₂⁶	C₂⁵	1	2	yes	—
642	C₂⁶	C₂⁵	1	2	yes	—
643	C₂⁶	C₂⁵	1	1	yes	characteristic
644	C₂⁶	C₂⁵	1	1	yes	characteristic
645	C₂⁶	C₂⁵	1	1	yes	characteristic
646	C₂⁶	C₂⁵	1	2	yes	—
647	C₂⁶	C₂⁵	1	1	yes	characteristic
648	C₂⁶	C₂⁵	1	1	yes	characteristic
649	C₂⁶	C₂⁵	1	1	yes	characteristic
650	C₂³×D₄	#120	1	64	yes	complemented
651	C₂³×D₄	#120	1	64	yes	complemented
652	C₂³×D₄	C₂²×D₄	1	16	yes	—
653	C₂³×D₄	C₂²×D₄	1	8	yes	—
654	C₂³×D₄	C₂²×D₄	1	8	yes	—
655	C₂³×D₄	C₂²×D₄	1	16	yes	—
656	C₂³×D₄	C₂²×D₄	1	16	yes	—
657	C₂³×D₄	C₂²×D₄	1	8	yes	—
658	C₂³×D₄	C₂²×D₄	1	16	yes	—
659	C₂³×D₄	C₂²×D₄	1	8	yes	—
660	C₂³×D₄	C₂²×D₄	1	8	yes	—
661	C₂³×D₄	C₂²×D₄	1	8	yes	—
662	C₂³×D₄	C₂²×D₄	1	8	yes	—
663	C₂³×D₄	C₂²×D₄	1	32	yes	—
664	C₂³×D₄	C₂²×D₄	1	8	yes	—
665	C₂³×D₄	C₂²×D₄	1	8	yes	—
666	C₂³×D₄	C₂²×D₄	1	8	yes	—
667	C₂³×D₄	C₂²×D₄	1	8	yes	—
668	C₂³×D₄	C₂²×D₄	1	8	yes	—
669	C₂³×D₄	C₂²×D₄	1	8	yes	—
670	C₂³×D₄	C₂²×D₄	1	16	yes	—
671	C₂³×D₄	C₂²×D₄	1	16	yes	—
672	C₂³×D₄	C₂²×D₄	1	8	yes	—
673	C₂³×D₄	C₂²×D₄	1	8	yes	—
674	C₂³×D₄	C₂²×D₄	1	8	yes	—
675	C₂³×D₄	C₂²×D₄	1	8	yes	—
676	C₂³×D₄	C₂²×D₄	1	8	yes	—
677	C₂³×D₄	C₂²×D₄	1	8	yes	—
678	C₂³×D₄	C₂²×D₄	1	8	yes	—
679	C₂³×D₄	C₂²×D₄	1	16	yes	—
680	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
681	C₂³×D₄	C₂²×D₄	1	32	yes	complemented
682	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
683	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
684	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
685	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
686	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
687	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
688	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
689	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
690	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
691	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
692	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
693	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
694	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
695	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
696	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
697	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
698	C₂⁴×C₄	C₂²×D₄	1	8	yes	complemented
699	C₂⁴×C₄	C₂⁵	1	8	yes	—
700	C₂⁴×C₄	C₂⁵	1	2	yes	—
701	C₂⁴×C₄	C₂⁵	1	2	yes	—
702	C₂⁴×C₄	C₂⁵	1	8	yes	—
703	C₂⁴×C₄	C₂⁵	1	2	yes	—
704	C₂⁴×C₄	C₂⁵	1	2	yes	—
705	C₂⁴×C₄	C₂⁵	1	8	yes	—
706	C₂⁴×C₄	C₂⁵	1	2	yes	—
707	C₂⁴×C₄	C₂⁵	1	2	yes	—
708	C₂⁴×C₄	C₂⁵	1	4	yes	—
709	C₂⁴×C₄	C₂⁵	1	2	yes	—
710	C₂⁴×C₄	C₂⁵	1	2	yes	—
711	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
712	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
713	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
714	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
715	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
716	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
717	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
718	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
719	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
720	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
721	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
722	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
723	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
724	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
725	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
726	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
727	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
728	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
729	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
730	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
731	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
732	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
733	C₂×#95	C₂²×D₄	1	32	yes	complemented
734	C₂×#95	C₂²×D₄	1	32	yes	complemented
735	C₂⁵	C₂×#120	1	16	yes	—
736	C₂⁵	C₂×#120	1	16	yes	—
737	C₂⁵	C₂×#120	1	16	yes	—
738	C₂⁵	C₂×#120	1	16	yes	—
739	C₂⁵	C₂×#120	1	16	yes	—
740	C₂⁵	C₂×#120	1	16	yes	—
741	C₂⁵	C₂×#120	1	16	yes	—
742	C₂⁵	C₂×#120	1	16	yes	—
743	C₂⁵	C₂×#120	1	16	yes	—
744	C₂⁵	C₂×#120	1	16	yes	—
745	C₂⁵	C₂×#120	1	16	yes	complemented
746	C₂⁵	#534	1	16	yes	—
747	C₂⁵	#534	1	16	yes	—
748	C₂⁵	#534	1	32	yes	complemented
749	C₂⁵	D₄²	1	32	yes	—
750	C₂⁵	D₄²	1	32	yes	—
751	C₂⁵	D₄²	1	32	yes	—
752	C₂⁵	D₄²	1	32	yes	—
753	C₂⁵	C₂³×D₄	1	2	yes	—
754	C₂⁵	C₂³×D₄	1	4	yes	—
755	C₂⁵	C₂³×D₄	1	2	yes	—
756	C₂⁵	C₂³×D₄	1	2	yes	—
757	C₂⁵	C₂³×D₄	1	8	yes	—
758	C₂⁵	C₂³×D₄	1	4	yes	—
759	C₂⁵	C₂³×D₄	1	4	yes	—
760	C₂⁵	C₂³×D₄	1	8	yes	—
761	C₂⁵	C₂³×D₄	1	8	yes	—
762	C₂⁵	C₂³×D₄	1	2	yes	—
763	C₂⁵	C₂³×D₄	1	2	yes	—
764	C₂⁵	C₂³×D₄	1	2	yes	—
765	C₂⁵	C₂³×D₄	1	2	yes	—
766	C₂⁵	C₂³×D₄	1	4	yes	—
767	C₂⁵	C₂³×D₄	1	4	yes	—
768	C₂⁵	C₂³×D₄	1	2	yes	—
769	C₂⁵	C₂³×D₄	1	2	yes	—
770	C₂⁵	C₂³×D₄	1	2	yes	—
771	C₂⁵	C₂³×D₄	1	2	yes	—
772	C₂⁵	C₂³×D₄	1	2	yes	—
773	C₂⁵	C₂³×D₄	1	4	yes	—
774	C₂⁵	C₂³×D₄	1	4	yes	—
775	C₂⁵	C₂³×D₄	1	2	yes	—
776	C₂⁵	C₂³×D₄	1	8	yes	—
777	C₂⁵	C₂³×D₄	1	2	yes	—
778	C₂⁵	C₂³×D₄	1	2	yes	—
779	C₂⁵	C₂³×D₄	1	2	yes	—
780	C₂⁵	C₂³×D₄	1	2	yes	—
781	C₂⁵	C₂³×D₄	1	2	yes	—
782	C₂⁵	C₂³×D₄	1	2	yes	—
783	C₂⁵	C₂³×D₄	1	2	yes	—
784	C₂⁵	C₂³×D₄	1	4	yes	—
785	C₂⁵	C₂³×D₄	1	4	yes	—
786	C₂⁵	C₂³×D₄	1	2	yes	—
787	C₂⁵	C₂³×D₄	1	4	yes	—
788	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
789	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
790	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
791	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
792	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
793	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
794	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
795	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
796	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
797	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
798	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
799	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
800	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
801	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
802	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
803	C₂⁵	C₂⁶	1	1	yes	characteristic
804	C₂²×D₄	C₂×#120	1	32	yes	—
805	C₂²×D₄	C₂×#120	1	32	yes	—
806	C₂²×D₄	C₂×#120	1	32	yes	—
807	C₂²×D₄	C₂×#120	1	32	yes	complemented
808	C₂²×D₄	#534	1	32	yes	complemented
809	C₂²×D₄	#534	1	32	yes	complemented
810	C₂²×D₄	D₄²	1	64	yes	—
811	C₂³×C₄	C₂×#120	1	16	yes	—
812	C₂³×C₄	C₂×#120	1	16	yes	complemented
813	C₂³×C₄	C₂³×D₄	1	16	yes	—
814	C₂³×C₄	C₂³×D₄	1	4	yes	—
815	C₂³×C₄	C₂³×D₄	1	4	yes	—
816	C₂³×C₄	C₂³×D₄	1	4	yes	—
817	C₂³×C₄	C₂³×D₄	1	4	yes	—
818	C₂³×C₄	C₂³×D₄	1	16	yes	—
819	C₂³×C₄	C₂³×D₄	1	4	yes	—
820	C₂³×C₄	C₂³×D₄	1	8	yes	—
821	C₂³×C₄	C₂³×D₄	1	8	yes	—
822	C₂³×C₄	C₂³×D₄	1	4	yes	—
823	C₂³×C₄	C₂³×D₄	1	4	yes	—
824	C₂³×C₄	C₂³×D₄	1	4	yes	—
825	C₂³×C₄	C₂³×D₄	1	8	yes	—
826	C₂³×C₄	C₂³×D₄	1	8	yes	—
827	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
828	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
829	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
830	C₂⁴	#2403	1	64	yes	—
831	C₂⁴	#2403	1	64	yes	complemented
832	C₂⁴	C₂²×#120	1	4	yes	—
833	C₂⁴	C₂²×#120	1	8	yes	—
834	C₂⁴	C₂²×#120	1	4	yes	—
835	C₂⁴	C₂²×#120	1	4	yes	—
836	C₂⁴	C₂²×#120	1	4	yes	—
837	C₂⁴	C₂²×#120	1	4	yes	—
838	C₂⁴	C₂²×#120	1	4	yes	—
839	C₂⁴	C₂²×#120	1	4	yes	—
840	C₂⁴	C₂²×#120	1	4	yes	—
841	C₂⁴	C₂²×#120	1	8	yes	—
842	C₂⁴	C₂²×#120	1	4	yes	—
843	C₂⁴	C₂²×#120	1	4	yes	—
844	C₂⁴	C₂²×#120	1	4	yes	—
845	C₂⁴	C₂²×#120	1	4	yes	—
846	C₂⁴	C₂²×#120	1	4	yes	—
847	C₂⁴	C₂×#534	1	8	yes	—
848	C₂⁴	C₂×#534	1	8	yes	—
849	C₂⁴	C₂×#534	1	4	yes	—
850	C₂⁴	C₂×#534	1	4	yes	—
851	C₂⁴	C₂×#534	1	4	yes	—
852	C₂⁴	C₂×#534	1	8	yes	—
853	C₂⁴	C₂×#534	1	8	yes	—
854	C₂⁴	C₂×#534	1	8	yes	—
855	C₂⁴	C₂×#534	1	4	yes	—
856	C₂⁴	C₂×#534	1	4	yes	—
857	C₂⁴	C₂×#534	1	8	yes	—
858	C₂⁴	C₂×#534	1	8	yes	—
859	C₂⁴	C₂×#534	1	4	yes	—
860	C₂⁴	C₂×D₄²	1	16	yes	—
861	C₂⁴	C₂×D₄²	1	8	yes	—
862	C₂⁴	C₂×D₄²	1	8	yes	—
863	C₂⁴	C₂×D₄²	1	8	yes	—
864	C₂⁴	C₂×D₄²	1	8	yes	—
865	C₂⁴	C₂×D₄²	1	8	yes	—
866	C₂⁴	C₂×D₄²	1	8	yes	—
867	C₂⁴	C₂×D₄²	1	8	yes	—
868	C₂⁴	C₂×D₄²	1	8	yes	—
869	C₂⁴	C₂×D₄²	1	8	yes	—
870	C₂⁴	C₂×D₄²	1	8	yes	—
871	C₂⁴	C₂×D₄²	1	8	yes	—
872	C₂⁴	C₂×D₄²	1	8	yes	—
873	C₂⁴	C₂×D₄²	1	16	yes	—
874	C₂⁴	#3484	1	8	yes	—
875	C₂⁴	#3484	1	8	yes	—
876	C₂⁴	#3484	1	32	yes	—
877	C₂⁴	#3484	1	32	yes	—
878	C₂⁴	#3484	1	8	yes	—
879	C₂⁴	#3484	1	8	yes	—
880	C₂⁴	#3484	1	8	yes	—
881	C₂⁴	#3484	1	8	yes	—
882	C₂⁴	#3484	1	16	yes	—
883	C₂⁴	#3484	1	16	yes	—
884	C₂⁴	#3484	1	8	yes	—
885	C₂⁴	#3484	1	8	yes	—
886	C₂⁴	#3484	1	8	yes	—
887	C₂⁴	#3532	1	32	yes	—
888	C₂⁴	#3532	1	16	yes	—
889	C₂⁴	C₂⁴×D₄	1	2	yes	—
890	C₂⁴	C₂⁴×D₄	1	2	yes	—
891	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
892	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
893	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
894	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
895	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
896	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
897	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
898	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
899	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
900	C₂⁴	H(7,𝔽₂)	1	4	yes	—
901	C₂²×C₄	C₂²×#120	1	8	yes	—
902	C₂²×C₄	C₂²×#120	1	8	yes	—
903	C₂²×C₄	C₂×#534	1	8	yes	—
904	C₂²×C₄	C₂×#534	1	8	yes	—
905	C₂²×C₄	C₂×D₄²	1	16	yes	—
906	C₂³	C₂×#2403	1	8	yes	—
907	C₂³	C₂×#2403	1	8	yes	—
908	C₂³	C₂×#2403	1	8	yes	—
909	C₂³	C₂×#2403	1	8	yes	—
910	C₂³	C₂×#2403	1	8	yes	—
911	C₂³	C₂×#2403	1	8	yes	—
912	C₂³	#34980	1	8	yes	—
913	C₂³	#34980	1	8	yes	—
914	C₂³	#34980	1	8	yes	—
915	C₂³	#34980	1	16	yes	complemented
916	C₂³	#35346	1	16	yes	—
917	C₂³	#35346	1	8	yes	—
918	C₂³	D₄×#120	1	16	yes	—
919	C₂³	D₄×#120	1	16	yes	—
920	C₂³	#36714	1	16	yes	—
921	C₂³	#37644	1	32	yes	—
922	C₂³	#37644	1	32	yes	—
923	C₂³	#37644	1	16	yes	—
924	C₂³	#37644	1	16	yes	—
925	C₂³	#58990	1	32	yes	—
926	C₂³	C₂³×#120	1	1	yes	characteristic
927	C₂³	C₂³×#120	1	1	yes	characteristic
928	C₂³	C₂³×#120	1	1	yes	characteristic
929	C₂³	C₂²×#534	1	1	yes	characteristic
930	C₂³	C₂²×#534	1	1	yes	characteristic
931	C₂³	C₂²×#534	1	2	yes	—
932	C₂³	C₂²×#534	1	2	yes	—
933	C₂³	C₂²×#534	1	2	yes	—
934	C₂³	C₂²×D₄²	1	4	yes	—
935	C₂³	C₂²×D₄²	1	2	yes	—
936	C₂³	C₂²×D₄²	1	2	yes	—
937	C₂³	C₂²×D₄²	1	2	yes	—
938	C₂³	C₂²×D₄²	1	2	yes	—
939	C₂³	C₂×#3532	1	8	yes	—
940	C₂³	C₂×#3532	1	4	yes	—
941	C₂³	C₂×#3484	1	8	yes	—
942	C₂³	C₂×#3484	1	8	yes	—
943	C₂³	C₂×#3484	1	2	yes	—
944	C₂³	C₂×#3484	1	2	yes	—
945	C₂³	C₂×#3484	1	4	yes	—
946	C₂³	C₂×#3484	1	2	yes	—
947	C₂³	C₂×#3484	1	4	yes	—
948	C₂³	C₂×#3484	1	2	yes	—
949	C₂³	C₂×#3484	1	2	yes	—
950	C₂³	C₂×#3484	1	2	yes	—
951	C₂³	C₂×#3484	1	2	yes	—
952	C₂³	C₂×#3484	1	2	yes	—
953	C₂³	C₂×#3484	1	2	yes	—
954	C₂³	#62817	1	8	yes	—
955	C₂³	#62842	1	2	yes	—
956	C₂³	#62842	1	2	yes	—
957	C₂³	#62842	1	2	yes	—
958	C₂³	#62892	1	16	yes	—
959	C₂³	#62892	1	8	yes	—
960	C₂³	#62892	1	8	yes	—
961	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
962	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
963	C₂³	#63011	1	16	yes	—
964	C₂²	#616960	1	16	yes	complemented
965	C₂²	#647656	1	16	yes	—
966	C₂²	C₂²×#2403	1	1	yes	characteristic
967	C₂²	C₂²×#2403	1	1	yes	characteristic
968	C₂²	C₂×#34980	1	1	yes	characteristic
969	C₂²	C₂×#34980	1	1	yes	characteristic
970	C₂²	C₂×#34980	1	1	yes	characteristic
971	C₂²	C₂×#34980	1	2	yes	—
972	C₂²	C₂×#35346	1	2	yes	—
973	C₂²	C₂×#35346	1	1	yes	characteristic
974	C₂²	C₂×D₄×#120	1	2	yes	—
975	C₂²	C₂×D₄×#120	1	2	yes	—
976	C₂²	#7630442	1	1	yes	characteristic
977	C₂²	#7631286	1	2	yes	—
978	C₂²	#7631286	1	2	yes	—
979	C₂²	C₂×#36714	1	2	yes	—
980	C₂²	C₂×#37644	1	2	yes	—
981	C₂²	C₂×#37644	1	4	yes	—
982	C₂²	C₂×#37644	1	4	yes	—
983	C₂²	C₂×#37644	1	2	yes	—
984	C₂²	#7641845	1	2	yes	—
985	C₂²	#7644629	1	2	yes	—
986	C₂²	#7644629	1	2	yes	—
987	C₂²	#7644629	1	4	yes	—
988	C₂²	#7652795	1	4	yes	—
989	C₂²	#7652795	1	4	yes	—
990	C₂²	D₄×#534	1	4	yes	—
991	C₂²	D₄×#534	1	4	yes	—
992	C₂²	C₂×#58990	1	4	yes	—
993	C₂²	#7670203	1	4	yes	—
994	C₂²	#7670203	1	4	yes	—
995	C₂²	#7675391	1	4	yes	—
996	C₂²	#7675391	1	4	yes	—
997	C₂²	#7684106	1	16	yes	—
998	C₂²	#7721725	1	4	yes	—
999	C₂²	#7721725	1	4	yes	—
1000	C₂²	#7733149	1	4	yes	—
1001	C₂²	#7849701	1	16	yes	—
1002	C₂²	#7967779	1	16	yes	—
1003	C₂²	#8433737	1	16	yes	—
1004	C₂	C₂×#647656	1	1	yes	characteristic
1005	C₂	#72219674	1	4	yes	—
1006	C₂	#72225665	1	1	yes	characteristic
1007	C₂	#72232081	1	4	yes	—
1008	C₂	#72232177	1	8	yes	—
1009	C₂	#72232804	1	1	yes	characteristic
1010	C₂	C₂×#616960	1	1	yes	characteristic
1011	C₂	#72240166	1	1	yes	characteristic
1012	C₂	#72240166	1	1	yes	characteristic
1013	C₂	#72326281	1	4	yes	—
1014	C₂	#72329781	1	4	yes	—
1015	C₂	#72330238	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. #72330503	C₂	semidirect
2. #72330473	C₂	semidirect
3. #72330468	C₂	semidirect
4. #72330464	C₂	semidirect
5. #72330117	C₂	semidirect
6. #72330110	C₂	semidirect
7. #72330051	C₂	semidirect
8. #72329865	C₂	semidirect
9. #72323670	C₂	semidirect
10. #72302225	C₂	semidirect
11. #72298136	C₂	semidirect
12. #72287890	C₂	semidirect
13. #72287882	C₂	semidirect
14. #72287881	C₂	semidirect
15. #72278173	C₂	semidirect
16. #72250308	C₂	semidirect
17. C₂²×#34980	C₂	semidirect
18. C₂×#616960	C₂	semidirect
19. C₂³×#2403	C₂	semidirect
20. C₂³×#2403	C₂	semidirect
21. C₂×#612424	C₂	semidirect
22. C₂×#612424	C₂	semidirect
23. #72218795	C₂	semidirect
24. #72218795	C₂	semidirect
26. C₂⁶×D₄	C₂²	semidirect
27. C₂⁶×D₄	C₂²	semidirect
28. C₂³×#534	C₂²	semidirect
32. C₂⁴×#120	C₂²	semidirect
33. C₂⁴×#120	C₂²	semidirect
34. C₂⁴×#120	C₂²	semidirect
35. C₂²×#2849	C₂²	semidirect
36. C₂²×#2846	C₂²	semidirect
37. C₂²×#2846	C₂²	semidirect
38. C₂²×#2846	C₂²	semidirect
39. C₂²×#2405	C₂²	semidirect
40. C₂²×#2405	C₂²	semidirect
41. C₂²×#2410	C₂²	semidirect
42. C₂²×#2410	C₂²	semidirect
48. C₂²×#2403	C₂²	semidirect
49. C₂²×#2403	C₂²	semidirect
50. C₂²×#2403	C₂²	semidirect
51. C₂²×#2403	C₂²	semidirect
52. C₂²×#2403	C₂²	semidirect
53. C₂²×#2403	C₂²	semidirect
54. C₂²×#2403	C₂²	semidirect
55. C₂²×#2403	C₂²	semidirect
56. C₂²×#2403	C₂²	semidirect
57. C₂²×#2403	C₂²	semidirect
58. C₂²×#2403	C₂²	semidirect
59. C₂²×#2613	C₂²	semidirect
60. C₂³×#392	C₂²	semidirect
61. C₂³×#392	C₂²	semidirect
62. C₂³×#392	C₂²	semidirect
63. C₂³×#392	C₂²	semidirect
64. C₂³×#392	C₂²	semidirect
65. C₂²×#2308	C₂²	semidirect
66. C₂³×#386	C₂²	semidirect
67. C₂³×#386	C₂²	semidirect
68. C₂³×#386	C₂²	semidirect
69. C₂³×#386	C₂²	semidirect
70. C₂³×#386	C₂²	semidirect
71. C₂³×#386	C₂²	semidirect
72. C₂³×#379	C₂²	semidirect
73. C₂³×#379	C₂²	semidirect
74. C₂³×#379	C₂²	semidirect
75. C₂×#15948	C₂²	semidirect
76. C₂×#15947	C₂²	semidirect
77. C₂×#15947	C₂²	semidirect
78. C₂×#15257	C₂²	semidirect
79. C₂×#14911	C₂²	semidirect
80. C₂×#14911	C₂²	semidirect
81. C₂×#14911	C₂²	semidirect
82. C₂×#14715	C₂²	semidirect
83. C₂×#14715	C₂²	semidirect
84. C₂×#14715	C₂²	semidirect
85. C₂×#14715	C₂²	semidirect
86. C₂×#14715	C₂²	semidirect
87. C₂×#14715	C₂²	semidirect
88. C₂×#14694	C₂²	semidirect
89. C₂×#14694	C₂²	semidirect
90. C₂×#14679	C₂²	semidirect
91. C₂×#14679	C₂²	semidirect
92. C₂×#14335	C₂²	semidirect
93. C₂×#14255	C₂²	semidirect
94. C₂×#14134	C₂²	semidirect
95. C₂×#13869	C₂²	semidirect
96. C₂×#13867	C₂²	semidirect
97. C₂×#13867	C₂²	semidirect
98. C₂×#13867	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. C₂×#13867	C₂²	semidirect
107. #158823	C₂²	semidirect
108. #158818	C₂²	semidirect
109. #157599	C₂²	semidirect
110. #156747	C₂²	semidirect
111. #156742	C₂²	semidirect
112. #156741	C₂²	semidirect
113. #156709	C₂²	semidirect
114. #156706	C₂²	semidirect
115. #156694	C₂²	semidirect
116. #156691	C₂²	semidirect
117. #156688	C₂²	semidirect
118. #156684	C₂²	semidirect
119. #156684	C₂²	semidirect
120. #156684	C₂²	semidirect
121. #156684	C₂²	semidirect
122. #156684	C₂²	semidirect
123. #155875	C₂²	semidirect
124. #155622	C₂²	semidirect
125. #155622	C₂²	semidirect
126. #155622	C₂²	semidirect
127. #155065	C₂²	semidirect
128. #155052	C₂²	semidirect
129. #154700	C₂²	semidirect
130. #154670	C₂²	semidirect
131. #154670	C₂²	semidirect
132. #154670	C₂²	semidirect
133. #154345	C₂²	semidirect
134. #154345	C₂²	semidirect
135. #154328	C₂²	semidirect
136. #154208	C₂²	semidirect
137. #154197	C₂²	semidirect
138. #154195	C₂²	semidirect
139. #154195	C₂²	semidirect
140. #154195	C₂²	semidirect
141. #154195	C₂²	semidirect
142. #154195	C₂²	semidirect
143. #154195	C₂²	semidirect
144. #154195	C₂²	semidirect
145. #154195	C₂²	semidirect
146. #154195	C₂²	semidirect
147. #154195	C₂²	semidirect
148. #154194	C₂²	semidirect
149. #154130	C₂²	semidirect
150. #154096	C₂²	semidirect
151. #154094	C₂²	semidirect
152. #154094	C₂²	semidirect
153. #154094	C₂²	semidirect
154. #154094	C₂²	semidirect
155. #154094	C₂²	semidirect
156. #154094	C₂²	semidirect
157. #154094	C₂²	semidirect
158. #154077	C₂²	semidirect
159. #153931	C₂²	semidirect
160. #153905	C₂²	semidirect
161. #153851	C₂²	semidirect
162. #153851	C₂²	semidirect
165. C₂⁸	C₂³	semidirect
166. C₂⁸	C₂³	semidirect
167. C₂⁵×D₄	D₄	semidirect
187. C₂⁵×D₄	C₂³	semidirect
188. C₂⁵×D₄	C₂³	semidirect
189. C₂⁵×D₄	C₂³	semidirect
190. C₂⁵×D₄	C₂³	semidirect
191. C₂⁵×D₄	C₂³	semidirect
192. C₂⁵×D₄	C₂³	semidirect
194. C₂⁶×C₄	C₂³	semidirect
195. C₂⁶×C₄	C₂³	semidirect
197. C₂³×#123	C₂³	semidirect
198. C₂³×#121	C₂³	semidirect
199. C₂³×#120	D₄	semidirect
200. C₂³×#120	D₄	semidirect
220. C₂³×#120	C₂³	semidirect
221. C₂³×#120	C₂³	semidirect
222. C₂³×#120	C₂³	semidirect
223. C₂³×#120	C₂³	semidirect
224. C₂³×#120	C₂³	semidirect
225. C₂³×#120	C₂³	semidirect
226. C₂³×#120	C₂³	semidirect
227. C₂³×#120	C₂³	semidirect
228. C₂³×#120	C₂³	semidirect
238. C₂⁴×C₂²⋊C₄	C₂³	semidirect
239. C₂⁴×C₂²⋊C₄	C₂³	semidirect
240. C₂⁴×C₂²⋊C₄	C₂³	semidirect
241. C₂⁴×C₂²⋊C₄	C₂³	semidirect
242. C₂⁴×C₂²⋊C₄	C₂³	semidirect
243. C₂⁴×C₂²⋊C₄	C₂³	semidirect
244. C₂⁴×C₂²⋊C₄	C₂³	semidirect
245. C₂⁴×C₂²⋊C₄	C₂³	semidirect
246. C₂⁴×C₂²⋊C₄	C₂³	semidirect
247. C₂⁴×C₂²⋊C₄	C₂³	semidirect
248. C₂⁴×C₂²⋊C₄	C₂³	semidirect
249. C₂⁴×C₂²⋊C₄	C₂³	semidirect
250. C₂⁴×C₂²⋊C₄	C₂³	semidirect
251. C₂×#2403	D₄	semidirect
252. C₂×#2403	D₄	semidirect
253. C₂²×#394	C₂³	semidirect
254. C₂²×#394	C₂³	semidirect
263. C₂²×#392	C₂³	semidirect
264. C₂²×#392	C₂³	semidirect
265. C₂²×#392	C₂³	semidirect
266. C₂²×#392	C₂³	semidirect
267. C₂²×#392	C₂³	semidirect
268. C₂²×#392	C₂³	semidirect
269. C₂²×#392	C₂³	semidirect
270. C₂²×#392	C₂³	semidirect
271. C₂²×#392	C₂³	semidirect
272. C₂²×#392	C₂³	semidirect
273. C₂²×#392	C₂³	semidirect
291. C₂²×#386	C₂³	semidirect
292. C₂²×#386	C₂³	semidirect
293. C₂²×#386	C₂³	semidirect
294. C₂²×#386	C₂³	semidirect
295. C₂²×#386	C₂³	semidirect
296. C₂²×#386	C₂³	semidirect
297. C₂²×#386	C₂³	semidirect
298. C₂²×#386	C₂³	semidirect
299. C₂²×#386	C₂³	semidirect
300. C₂²×#386	C₂³	semidirect
301. C₂²×#386	C₂³	semidirect
302. C₂²×#386	C₂³	semidirect
303. C₂²×#386	C₂³	semidirect
304. C₂²×#386	C₂³	semidirect
305. C₂²×#386	C₂³	semidirect
306. C₂²×#385	C₂³	semidirect
307. C₂²×#385	C₂³	semidirect
308. C₂²×#381	C₂³	semidirect
309. C₂²×#381	C₂³	semidirect
319. C₂²×#379	C₂³	semidirect
320. C₂²×#379	C₂³	semidirect
321. C₂²×#379	C₂³	semidirect
322. C₂²×#379	C₂³	semidirect
323. C₂²×#379	C₂³	semidirect
324. C₂²×#379	C₂³	semidirect
325. C₂²×#379	C₂³	semidirect
326. C₂²×#379	C₂³	semidirect
327. C₂²×#379	C₂³	semidirect
328. C₂²×#379	C₂³	semidirect
329. C₂²×#379	C₂³	semidirect
330. C₂²×#379	C₂³	semidirect
331. C₂²×#379	C₂³	semidirect
332. C₂²×#379	C₂³	semidirect
333. C₂²×#379	C₂³	semidirect
334. C₂²×#379	C₂³	semidirect
335. C₂²×#379	C₂³	semidirect
336. C₂²×#379	C₂³	semidirect
337. C₂²×#379	C₂³	semidirect
338. C₂²×#379	C₂³	semidirect
339. C₂²×#379	C₂³	semidirect
340. C₂³×#95	C₂³	semidirect
341. C₂³×#95	C₂³	semidirect
342. C₂³×#95	C₂³	semidirect
343. C₂³×#95	C₂³	semidirect
344. C₂³×#95	C₂³	semidirect
345. C₂×#1440	C₂³	semidirect
346. C₂×#1440	C₂³	semidirect
347. C₂×#1440	C₂³	semidirect
348. C₂×#1439	C₂³	semidirect
349. C₂×#1439	C₂³	semidirect
350. C₂×#1439	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×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. C₂×C₂²⋊#95	C₂³	semidirect
394. C₂×C₂²⋊#95	C₂³	semidirect
395. #7557	C₂³	semidirect
396. #7556	C₂³	semidirect
397. #7556	C₂³	semidirect
398. #7556	C₂³	semidirect
399. #7555	C₂³	semidirect
400. #7555	C₂³	semidirect
401. #7555	C₂³	semidirect
402. #7555	C₂³	semidirect
403. #7555	C₂³	semidirect
404. #7555	C₂³	semidirect
405. #7555	C₂³	semidirect
406. #7555	C₂³	semidirect
407. #7555	C₂³	semidirect
408. #7555	C₂³	semidirect
409. #7555	C₂³	semidirect
410. #7555	C₂³	semidirect
411. #7555	C₂³	semidirect
412. #7555	C₂³	semidirect
413. #7555	C₂³	semidirect
448. C₂⁴×D₄	C₂×D₄	semidirect
449. C₂⁴×D₄	C₂×D₄	semidirect
450. C₂⁴×D₄	C₂×D₄	semidirect
451. C₂⁴×D₄	C₂×D₄	semidirect
452. C₂⁴×D₄	C₂×D₄	semidirect
505. C₂²×#120	C₂×D₄	semidirect
506. C₂²×#120	C₂×D₄	semidirect
507. C₂²×#120	C₂×D₄	semidirect
508. C₂²×#120	C₂×D₄	semidirect
509. C₂²×#120	C₂×D₄	semidirect
510. C₂²×#120	C₂×D₄	semidirect
511. C₂²×#120	C₂×D₄	semidirect
515. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
516. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
517. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
518. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
574. C₂×#392	C₂×D₄	semidirect
575. C₂×#392	C₂×D₄	semidirect
576. C₂×#386	C₂×D₄	semidirect
577. C₂×#386	C₂×D₄	semidirect
578. C₂×#386	C₂×D₄	semidirect
579. C₂×#386	C₂×D₄	semidirect
581. C₂×#379	C₂×D₄	semidirect
601. C₂⁶	#120	semidirect
634. C₂⁶	C₂²×D₄	semidirect
650. C₂³×D₄	#120	semidirect
651. C₂³×D₄	#120	semidirect
680. C₂³×D₄	C₂²×D₄	semidirect
681. C₂³×D₄	C₂²×D₄	semidirect
698. C₂⁴×C₄	C₂²×D₄	semidirect
728. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
729. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
730. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
731. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
732. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
733. C₂×#95	C₂²×D₄	semidirect
734. C₂×#95	C₂²×D₄	semidirect
745. C₂⁵	C₂×#120	semidirect
748. C₂⁵	#534	semidirect
807. C₂²×D₄	C₂×#120	semidirect
808. C₂²×D₄	#534	semidirect
809. C₂²×D₄	#534	semidirect
812. C₂³×C₄	C₂×#120	semidirect
831. C₂⁴	#2403	semidirect
915. C₂³	#34980	semidirect
964. C₂²	#616960	semidirect

Maximal subgroups

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

subgroup	index
#72330503	2
#72330473	2
#72330468	2
#72330464	2
#72330117	2
#72330110	2
#72330051	2
#72329865	2
#72323670	2
#72302225	2
#72298136	2
#72287890	2
#72287882	2
#72287881	2
#72278173	2
#72250308	2
C₂²×#34980	2
C₂×#616960	2
C₂³×#2403	2
C₂×#612424	2
#72218795	2