Subgroups — #72336385

Order 2048.

At least 7226 conjugacy classes of subgroups; only the 8120 normal subgroups are shown.

The subgroup lattice has 878 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72336219	C₂	1	1	yes	maximal, characteristic, complemented
2	#72336180	C₂	1	2	yes	maximal, complemented
3	#72330445	C₂	1	4	yes	maximal, complemented
4	#72330346	C₂	1	4	yes	maximal, complemented
5	#72330343	C₂	1	2	yes	maximal, complemented
6	#72330254	C₂	1	4	yes	maximal, complemented
7	#72330251	C₂	1	4	yes	maximal, complemented
8	#72330248	C₂	1	2	yes	maximal, complemented
9	#72330245	C₂	1	4	yes	maximal, complemented
10	#72328362	C₂	1	4	yes	maximal, complemented
11	#72323475	C₂	1	2	yes	maximal, complemented
12	#72287882	C₂	1	2	yes	maximal, complemented
13	#72258110	C₂	1	2	yes	maximal, complemented
14	#72252092	C₂	1	4	yes	maximal, complemented
15	#72252084	C₂	1	4	yes	maximal, complemented
16	#72251015	C₂	1	4	yes	maximal, complemented
17	#72250275	C₂	1	4	yes	maximal, complemented
18	#72236727	C₂	1	2	yes	maximal, complemented
19	C₂²×#58991	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#647657	C₂	1	4	yes	maximal, complemented
21	C₂²×#14679	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂³×#2846	C₂	1	2	yes	maximal, complemented
23	C₂⁹	C₂²	1	1	yes	characteristic
24	C₂³×#546	C₂²	1	2	yes	complemented
25	C₂⁴×#120	C₂²	1	4	yes	—
26	C₂⁴×#120	C₂²	1	2	yes	—
27	C₂⁴×#120	C₂²	1	4	yes	complemented
28	C₂⁴×#120	C₂²	1	4	yes	complemented
29	C₂²×#2670	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#2678	C₂²	1	2	yes	complemented
31	C₂²×#2668	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#2846	C₂²	1	4	yes	—
33	C₂²×#2846	C₂²	1	4	yes	—
34	C₂²×#2846	C₂²	1	4	yes	—
35	C₂²×#2846	C₂²	1	4	yes	—
36	C₂²×#2846	C₂²	1	4	yes	complemented
37	C₂²×#2846	C₂²	1	4	yes	complemented
38	C₂²×#2846	C₂²	1	4	yes	complemented
39	C₂²×#2846	C₂²	1	4	yes	complemented
40	C₂²×#2539	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#2404	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#2404	C₂²	1	4	yes	complemented
43	C₂²×#2408	C₂²	1	2	yes	complemented
44	C₂²×#2472	C₂²	1	2	yes	complemented
45	C₂²×#2412	C₂²	1	2	yes	complemented
46	C₂²×#2424	C₂²	1	2	yes	complemented
47	C₂²×#2418	C₂²	1	2	yes	complemented
48	C₂²×#2437	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#2410	C₂²	1	2	yes	complemented
50	C₂²×#2410	C₂²	1	2	yes	complemented
51	C₂²×#2403	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#2358	C₂²	1	2	yes	complemented
53	C₂²×D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
54	C₂³×#379	C₂²	1	4	yes	—
55	C₂³×#379	C₂²	1	2	yes	—
56	C₂³×#379	C₂²	1	1	yes	characteristic
57	C₂³×#379	C₂²	1	1	yes	characteristic
58	C₂³×#379	C₂²	1	4	yes	complemented
59	C₂³×#379	C₂²	1	4	yes	complemented
60	C₂³×#379	C₂²	1	4	yes	complemented
61	C₂³×#379	C₂²	1	2	yes	complemented
62	C₂³×#379	C₂²	1	4	yes	complemented
63	C₂³×#379	C₂²	1	2	yes	complemented
64	C₂×#15948	C₂²	1	8	yes	complemented
65	C₂×#15259	C₂²	1	8	yes	complemented
66	C₂×#15257	C₂²	1	8	yes	complemented
67	C₂×#15257	C₂²	1	8	yes	complemented
68	C₂×#15257	C₂²	1	8	yes	complemented
69	C₂×#14911	C₂²	1	8	yes	complemented
70	C₂×#14717	C₂²	1	8	yes	complemented
71	C₂×#14716	C₂²	1	8	yes	complemented
72	C₂×#14716	C₂²	1	4	yes	complemented
73	C₂×#14715	C₂²	1	8	yes	complemented
74	C₂×#14715	C₂²	1	8	yes	complemented
75	C₂×#14679	C₂²	1	2	yes	—
76	C₂×#14679	C₂²	1	2	yes	—
77	C₂×#14679	C₂²	1	4	yes	complemented
78	C₂×#14679	C₂²	1	2	yes	complemented
79	C₂×#14679	C₂²	1	2	yes	complemented
80	C₂×#14679	C₂²	1	4	yes	complemented
81	C₂×#14134	C₂²	1	4	yes	complemented
82	C₂×#14134	C₂²	1	4	yes	complemented
83	C₂×#13967	C₂²	1	8	yes	complemented
84	C₂×#13967	C₂²	1	8	yes	complemented
85	C₂×#13967	C₂²	1	8	yes	complemented
86	C₂×#13869	C₂²	1	4	yes	complemented
87	C₂×#13867	C₂²	1	4	yes	complemented
88	C₂×#13867	C₂²	1	8	yes	complemented
89	C₂×#13867	C₂²	1	4	yes	complemented
90	#156699	C₂²	1	4	yes	complemented
91	#156699	C₂²	1	4	yes	complemented
92	#156698	C₂²	1	8	yes	complemented
93	#156698	C₂²	1	8	yes	complemented
94	#156689	C₂²	1	8	yes	complemented
95	#156688	C₂²	1	8	yes	complemented
96	#156688	C₂²	1	8	yes	complemented
97	#156688	C₂²	1	8	yes	complemented
98	#156688	C₂²	1	8	yes	complemented
99	#156688	C₂²	1	8	yes	complemented
100	#156688	C₂²	1	8	yes	complemented
101	#156685	C₂²	1	4	yes	complemented
102	#156685	C₂²	1	4	yes	complemented
103	#156684	C₂²	1	8	yes	complemented
104	#156684	C₂²	1	4	yes	complemented
105	#156684	C₂²	1	8	yes	complemented
106	#156684	C₂²	1	4	yes	complemented
107	#156684	C₂²	1	4	yes	complemented
108	#156684	C₂²	1	4	yes	complemented
109	#156684	C₂²	1	8	yes	complemented
110	#155799	C₂²	1	2	yes	complemented
111	#155799	C₂²	1	2	yes	complemented
112	#155622	C₂²	1	4	yes	complemented
113	#155622	C₂²	1	4	yes	complemented
114	#154676	C₂²	1	8	yes	complemented
115	#154676	C₂²	1	8	yes	complemented
116	#154676	C₂²	1	8	yes	complemented
117	#154671	C₂²	1	8	yes	complemented
118	#154671	C₂²	1	8	yes	complemented
119	#154671	C₂²	1	8	yes	complemented
120	#154671	C₂²	1	8	yes	complemented
121	#154670	C₂²	1	8	yes	complemented
122	#154670	C₂²	1	8	yes	complemented
123	#154670	C₂²	1	8	yes	complemented
124	#154670	C₂²	1	8	yes	complemented
125	#154200	C₂²	1	4	yes	complemented
126	#154200	C₂²	1	4	yes	complemented
127	#154195	C₂²	1	4	yes	complemented
128	#154195	C₂²	1	4	yes	complemented
129	#154195	C₂²	1	8	yes	complemented
130	#154195	C₂²	1	8	yes	complemented
131	#154195	C₂²	1	8	yes	complemented
132	#154195	C₂²	1	8	yes	complemented
133	#154195	C₂²	1	8	yes	complemented
134	#154195	C₂²	1	4	yes	complemented
135	#154195	C₂²	1	8	yes	complemented
136	#154195	C₂²	1	4	yes	complemented
137	#154194	C₂²	1	8	yes	complemented
138	#154194	C₂²	1	8	yes	complemented
139	#154194	C₂²	1	8	yes	complemented
140	#154130	C₂²	1	2	yes	complemented
141	#154130	C₂²	1	4	yes	complemented
142	#154096	C₂²	1	2	yes	complemented
143	#154096	C₂²	1	4	yes	complemented
144	#154095	C₂²	1	8	yes	complemented
145	#154095	C₂²	1	8	yes	complemented
146	#154094	C₂²	1	8	yes	complemented
147	#154094	C₂²	1	4	yes	complemented
148	#153851	C₂²	1	2	yes	complemented
149	#153851	C₂²	1	4	yes	complemented
150	#153851	C₂²	1	4	yes	complemented
151	#153851	C₂²	1	4	yes	complemented
152	#153851	C₂²	1	2	yes	complemented
153	#153749	C₂²	1	4	yes	complemented
154	#153749	C₂²	1	8	yes	complemented
155	C₂⁸	C₂³	1	4	yes	—
156	C₂⁸	C₂³	1	2	yes	—
157	C₂⁸	C₂³	1	2	yes	—
158	C₂⁸	C₂³	1	4	yes	—
159	C₂⁸	C₂³	1	1	yes	characteristic
160	C₂⁸	C₂³	1	2	yes	—
161	C₂⁴×#41	C₂³	1	1	yes	characteristic, complemented
162	C₂⁵×D₄	C₂³	1	2	yes	—
163	C₂⁵×D₄	C₂³	1	2	yes	—
164	C₂⁵×D₄	C₂³	1	8	yes	—
165	C₂⁵×D₄	C₂³	1	2	yes	—
166	C₂³×#124	C₂³	1	2	yes	complemented
167	C₂³×#123	C₂³	1	2	yes	complemented
168	C₂³×#123	C₂³	1	2	yes	complemented
169	C₂³×C₂²⋊Q₈	C₂³	1	2	yes	complemented
170	C₂³×#121	C₂³	1	2	yes	complemented
171	C₂³×#121	C₂³	1	1	yes	characteristic, complemented
172	C₂³×#121	C₂³	1	2	yes	complemented
173	C₂³×#121	C₂³	1	2	yes	complemented
174	C₂³×#121	C₂³	1	2	yes	complemented
175	C₂³×#120	D₄	1	32	yes	complemented
176	C₂³×#120	C₂³	1	2	yes	—
177	C₂³×#120	C₂³	1	8	yes	—
178	C₂³×#120	C₂³	1	8	yes	—
179	C₂³×#120	C₂³	1	8	yes	—
180	C₂³×#120	C₂³	1	8	yes	—
181	C₂³×#120	C₂³	1	8	yes	—
182	C₂³×#120	C₂³	1	8	yes	—
183	C₂³×#120	C₂³	1	8	yes	—
184	C₂³×#120	C₂³	1	8	yes	—
185	C₂³×#120	C₂³	1	2	yes	—
186	C₂³×#120	C₂³	1	2	yes	—
187	C₂³×#120	C₂³	1	8	yes	—
188	C₂³×#120	C₂³	1	2	yes	—
189	C₂³×#120	C₂³	1	2	yes	—
190	C₂³×#120	C₂³	1	2	yes	—
191	C₂³×#120	C₂³	1	2	yes	—
192	C₂³×#120	C₂³	1	8	yes	—
193	C₂³×#120	C₂³	1	2	yes	—
194	C₂³×#120	C₂³	1	8	yes	—
195	C₂³×#120	C₂³	1	8	yes	—
196	C₂³×#120	C₂³	1	2	yes	complemented
197	C₂³×#120	C₂³	1	2	yes	complemented
198	C₂³×C₄×D₄	C₂³	1	2	yes	complemented
199	C₂³×C₄×D₄	C₂³	1	2	yes	complemented
200	C₂³×C₄×D₄	C₂³	1	2	yes	complemented
201	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
203	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
204	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
205	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
206	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
207	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
208	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
212	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
213	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
214	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
215	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
220	C₂×#2846	D₄	1	64	yes	complemented
221	C₂²×#399	C₂³	1	1	yes	characteristic, complemented
222	C₂²×#399	C₂³	1	1	yes	characteristic, complemented
223	C₂²×#397	C₂³	1	2	yes	complemented
224	C₂²×#397	C₂³	1	2	yes	complemented
225	C₂²×#396	C₂³	1	2	yes	complemented
226	C₂²×#394	C₂³	1	2	yes	complemented
227	C₂²×#394	C₂³	1	2	yes	complemented
228	C₂²×#394	C₂³	1	2	yes	complemented
229	C₂²×#394	C₂³	1	2	yes	complemented
230	C₂²×#394	C₂³	1	2	yes	complemented
231	C₂²×#394	C₂³	1	2	yes	complemented
232	C₂²×#393	C₂³	1	1	yes	characteristic, complemented
233	C₂²×#393	C₂³	1	1	yes	characteristic, complemented
234	C₂²×#393	C₂³	1	8	yes	complemented
235	C₂²×#392	C₂³	1	1	yes	characteristic, complemented
236	C₂²×#392	C₂³	1	2	yes	complemented
237	C₂²×#392	C₂³	1	2	yes	complemented
238	C₂²×#392	C₂³	1	1	yes	characteristic, complemented
239	C₂²×#392	C₂³	1	2	yes	complemented
240	C₂²×#392	C₂³	1	1	yes	characteristic, complemented
241	C₂²×#392	C₂³	1	1	yes	characteristic, complemented
242	C₂²×#392	C₂³	1	8	yes	complemented
243	C₂²×#392	C₂³	1	16	yes	complemented
244	C₂²×#392	C₂³	1	8	yes	complemented
245	C₂²×#390	C₂³	1	2	yes	complemented
246	C₂²×#390	C₂³	1	2	yes	complemented
247	C₂²×#390	C₂³	1	2	yes	complemented
248	C₂²×#390	C₂³	1	2	yes	complemented
249	C₂²×#388	C₂³	1	2	yes	complemented
250	C₂²×#388	C₂³	1	2	yes	complemented
251	C₂²×#388	C₂³	1	2	yes	complemented
252	C₂²×#386	C₂³	1	2	yes	complemented
253	C₂²×#386	C₂³	1	2	yes	complemented
254	C₂²×#386	C₂³	1	2	yes	complemented
255	C₂²×#386	C₂³	1	2	yes	complemented
256	C₂²×#386	C₂³	1	2	yes	complemented
257	C₂²×#386	C₂³	1	2	yes	complemented
258	C₂²×#386	C₂³	1	8	yes	complemented
259	C₂²×#386	C₂³	1	8	yes	complemented
260	C₂²×#386	C₂³	1	8	yes	complemented
261	C₂²×#386	C₂³	1	8	yes	complemented
262	C₂²×#386	C₂³	1	2	yes	complemented
263	C₂²×#386	C₂³	1	2	yes	complemented
264	C₂²×#386	C₂³	1	2	yes	complemented
265	C₂²×#386	C₂³	1	2	yes	complemented
266	C₂²×#386	C₂³	1	16	yes	complemented
267	C₂²×#386	C₂³	1	16	yes	complemented
268	C₂²×#385	C₂³	1	2	yes	complemented
269	C₂²×#385	C₂³	1	2	yes	complemented
270	C₂²×#385	C₂³	1	2	yes	complemented
271	C₂²×#381	C₂³	1	1	yes	characteristic, complemented
272	C₂²×#381	C₂³	1	4	yes	complemented
273	C₂²×#380	C₂³	1	2	yes	complemented
274	C₂²×#380	C₂³	1	2	yes	complemented
275	C₂²×#379	D₄	1	16	yes	complemented
276	C₂²×#379	C₂³	1	8	yes	—
277	C₂²×#379	C₂³	1	8	yes	—
278	C₂²×#379	C₂³	1	4	yes	—
279	C₂²×#379	C₂³	1	2	yes	—
280	C₂²×#379	C₂³	1	8	yes	—
281	C₂²×#379	C₂³	1	4	yes	—
282	C₂²×#379	C₂³	1	4	yes	—
283	C₂²×#379	C₂³	1	8	yes	—
284	C₂²×#379	C₂³	1	8	yes	—
285	C₂²×#379	C₂³	1	8	yes	—
286	C₂²×#379	C₂³	1	8	yes	—
287	C₂²×#379	C₂³	1	8	yes	—
288	C₂²×#379	C₂³	1	8	yes	—
289	C₂²×#379	C₂³	1	8	yes	—
290	C₂²×#379	C₂³	1	8	yes	—
291	C₂²×#379	C₂³	1	8	yes	—
292	C₂²×#379	C₂³	1	8	yes	—
293	C₂²×#379	C₂³	1	8	yes	—
294	C₂²×#379	C₂³	1	8	yes	—
295	C₂²×#379	C₂³	1	8	yes	—
296	C₂²×#379	C₂³	1	4	yes	—
297	C₂²×#379	C₂³	1	1	yes	characteristic
298	C₂²×#379	C₂³	1	1	yes	characteristic
299	C₂²×#379	C₂³	1	8	yes	—
300	C₂²×#379	C₂³	1	1	yes	characteristic
301	C₂²×#379	C₂³	1	1	yes	characteristic
302	C₂²×#379	C₂³	1	2	yes	—
303	C₂²×#379	C₂³	1	2	yes	—
304	C₂²×#379	C₂³	1	8	yes	—
305	C₂²×#379	C₂³	1	8	yes	—
306	C₂²×#379	C₂³	1	4	yes	—
307	C₂²×#379	C₂³	1	2	yes	—
308	C₂²×#379	C₂³	1	4	yes	—
309	C₂²×#379	C₂³	1	4	yes	—
310	C₂²×#379	C₂³	1	4	yes	—
311	C₂²×#379	C₂³	1	8	yes	—
312	C₂²×#379	C₂³	1	8	yes	—
313	C₂²×#379	C₂³	1	4	yes	—
314	C₂²×#379	C₂³	1	4	yes	—
315	C₂²×#379	C₂³	1	4	yes	—
316	C₂²×#379	C₂³	1	2	yes	complemented
317	C₂²×#379	C₂³	1	8	yes	complemented
318	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
319	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
320	C₂×#1440	C₂³	1	8	yes	complemented
321	C₂×#1440	C₂³	1	8	yes	complemented
322	C₂×#1440	C₂³	1	8	yes	complemented
323	C₂×#1440	C₂³	1	8	yes	complemented
324	C₂×#1440	C₂³	1	8	yes	complemented
325	C₂×#1439	C₂³	1	16	yes	complemented
326	C₂×#1439	C₂³	1	16	yes	complemented
327	C₂×#1439	C₂³	1	16	yes	complemented
328	C₂×#1439	C₂³	1	16	yes	complemented
329	C₂×#1439	C₂³	1	16	yes	complemented
330	C₂×#1439	C₂³	1	8	yes	complemented
331	C₂×#1439	C₂³	1	16	yes	complemented
332	C₂×#1438	C₂³	1	8	yes	complemented
333	C₂×#1438	C₂³	1	8	yes	complemented
334	C₂×#1438	C₂³	1	16	yes	complemented
335	C₂×#1438	C₂³	1	8	yes	complemented
336	C₂×#1438	C₂³	1	16	yes	complemented
337	C₂×#1438	C₂³	1	16	yes	complemented
338	C₂×#1438	C₂³	1	16	yes	complemented
339	C₂×#1438	C₂³	1	16	yes	complemented
340	C₂×#1438	C₂³	1	8	yes	complemented
341	C₂×#1438	C₂³	1	8	yes	complemented
342	C₂×#1438	C₂³	1	16	yes	complemented
343	C₂×#1438	C₂³	1	8	yes	complemented
344	C₂×#1438	C₂³	1	8	yes	complemented
345	C₂×#1438	C₂³	1	16	yes	complemented
346	C₂×#1438	C₂³	1	8	yes	complemented
347	C₂×#1438	C₂³	1	16	yes	complemented
348	C₂×#1438	C₂³	1	16	yes	complemented
349	C₂×#1438	C₂³	1	16	yes	complemented
350	C₂×#1437	C₂³	1	16	yes	complemented
351	C₂×#1437	C₂³	1	16	yes	complemented
352	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
353	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
354	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
355	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
356	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
357	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
358	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
359	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
360	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
361	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
362	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
363	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
364	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
365	#7555	C₂³	1	4	yes	complemented
366	#7555	C₂³	1	4	yes	complemented
367	#7555	C₂³	1	8	yes	complemented
368	#7555	C₂³	1	8	yes	complemented
369	#7555	C₂³	1	4	yes	complemented
370	#7555	C₂³	1	16	yes	complemented
371	#7555	C₂³	1	16	yes	complemented
372	#7555	C₂³	1	8	yes	complemented
373	#7555	C₂³	1	8	yes	complemented
374	#7555	C₂³	1	4	yes	complemented
375	#7555	C₂³	1	16	yes	complemented
376	#7555	C₂³	1	8	yes	complemented
377	#7555	C₂³	1	8	yes	complemented
378	#7555	C₂³	1	16	yes	complemented
379	#7555	C₂³	1	8	yes	complemented
380	#7555	C₂³	1	8	yes	complemented
381	#7555	C₂³	1	16	yes	complemented
382	#7555	C₂³	1	16	yes	complemented
383	#7555	C₂³	1	16	yes	complemented
384	#7555	C₂³	1	8	yes	complemented
385	#7555	C₂³	1	8	yes	complemented
386	#7555	C₂³	1	8	yes	complemented
387	#7555	C₂³	1	8	yes	complemented
388	#7555	C₂³	1	4	yes	complemented
389	#7555	C₂³	1	4	yes	complemented
390	C₂⁷	C₂×D₄	1	32	yes	—
391	C₂⁷	C₂×D₄	1	8	yes	—
392	C₂⁷	C₂×D₄	1	16	yes	—
393	C₂⁷	#41	1	16	yes	complemented
394	C₂⁷	C₂⁴	1	2	yes	—
395	C₂⁷	C₂⁴	1	1	yes	characteristic
396	C₂⁷	C₂⁴	1	4	yes	—
397	C₂⁷	C₂⁴	1	8	yes	—
398	C₂⁷	C₂⁴	1	8	yes	—
399	C₂⁷	C₂⁴	1	4	yes	—
400	C₂⁷	C₂⁴	1	4	yes	—
401	C₂⁷	C₂⁴	1	2	yes	—
402	C₂⁷	C₂⁴	1	2	yes	—
403	C₂⁷	C₂⁴	1	1	yes	characteristic
404	C₂⁷	C₂⁴	1	1	yes	characteristic
405	C₂⁴×Q₈	C₂⁴	1	1	yes	characteristic, complemented
406	C₂⁴×D₄	C₂×D₄	1	16	yes	—
407	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
408	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
409	C₂⁴×D₄	C₂⁴	1	2	yes	—
410	C₂⁴×D₄	C₂⁴	1	2	yes	—
411	C₂⁴×D₄	C₂⁴	1	2	yes	—
412	C₂⁴×D₄	C₂⁴	1	2	yes	—
413	C₂⁴×D₄	C₂⁴	1	16	yes	—
414	C₂⁴×D₄	C₂⁴	1	2	yes	—
415	C₂⁴×D₄	C₂⁴	1	2	yes	—
416	C₂⁴×D₄	C₂⁴	1	2	yes	—
417	C₂⁴×D₄	C₂⁴	1	2	yes	—
418	C₂⁴×D₄	C₂⁴	1	2	yes	—
419	C₂⁴×D₄	C₂⁴	1	16	yes	—
420	C₂⁴×D₄	C₂⁴	1	2	yes	—
421	C₂⁴×D₄	C₂⁴	1	2	yes	—
422	C₂⁴×D₄	C₂⁴	1	2	yes	—
423	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic, complemented
424	C₂⁴×D₄	C₂⁴	1	2	yes	complemented
425	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic, complemented
426	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
427	C₂⁵×C₄	C₂⁴	1	8	yes	—
428	C₂⁵×C₄	C₂⁴	1	2	yes	—
429	C₂⁵×C₄	C₂⁴	1	2	yes	—
430	C₂⁵×C₄	C₂⁴	1	2	yes	—
431	C₂⁵×C₄	C₂⁴	1	4	yes	—
432	C₂⁵×C₄	C₂⁴	1	2	yes	—
433	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
434	C₂⁵×C₄	C₂⁴	1	2	yes	complemented
435	C₂⁵×C₄	C₂⁴	1	2	yes	complemented
436	C₂²×#120	C₂×D₄	1	16	yes	—
437	C₂²×#120	C₂×D₄	1	16	yes	—
438	C₂²×#120	C₂×D₄	1	16	yes	—
439	C₂²×#120	C₂×D₄	1	64	yes	—
440	C₂²×#120	C₂×D₄	1	16	yes	—
441	C₂²×#120	C₂×D₄	1	32	yes	—
442	C₂²×#120	C₂×D₄	1	16	yes	complemented
443	C₂²×#120	C₂×D₄	1	16	yes	complemented
444	C₂²×#120	C₂×D₄	1	16	yes	complemented
445	C₂²×#120	C₂×D₄	1	16	yes	complemented
446	C₂²×#120	C₂×D₄	1	64	yes	complemented
447	C₂²×#120	C₂×D₄	1	64	yes	complemented
448	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	complemented
449	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	complemented
450	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	complemented
451	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	complemented
452	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	complemented
453	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	complemented
454	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic, complemented
455	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
456	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
457	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
458	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
459	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
460	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
461	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
462	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
464	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
465	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
466	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
467	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
468	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
469	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
472	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
473	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
474	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
475	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
476	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
477	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
478	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
479	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
481	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
483	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
484	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
485	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
487	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
488	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
489	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
490	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
491	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
492	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
493	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
494	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
495	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
496	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
497	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
498	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
499	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
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	1	yes	characteristic
504	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
505	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
506	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
507	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
508	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
509	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
510	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
511	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
512	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
513	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
514	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
515	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
516	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
517	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
518	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
519	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
520	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
521	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
522	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
523	C₂³×C₄²	C₂⁴	1	2	yes	complemented
524	C₂³×C₄²	C₂⁴	1	2	yes	complemented
525	C₂×#379	C₂×D₄	1	32	yes	—
526	C₂×#379	C₂×D₄	1	64	yes	—
527	C₂×#379	C₂×D₄	1	8	yes	—
528	C₂×#379	C₂×D₄	1	8	yes	—
529	C₂×#379	C₂×D₄	1	64	yes	complemented
530	C₂×#379	C₂×D₄	1	64	yes	complemented
531	C₂×#379	C₂×D₄	1	16	yes	complemented
532	C₂×#379	C₂×D₄	1	16	yes	complemented
533	C₂×#379	C₂×D₄	1	8	yes	complemented
534	C₂×#379	C₂×D₄	1	8	yes	complemented
535	C₂²×#95	C₂⁴	1	1	yes	characteristic, complemented
536	C₂²×#95	C₂⁴	1	2	yes	complemented
537	C₂²×#95	C₂⁴	1	2	yes	complemented
538	C₂²×#95	C₂⁴	1	1	yes	characteristic, complemented
539	C₂²×#95	C₂⁴	1	1	yes	characteristic, complemented
540	C₂²×#95	C₂⁴	1	2	yes	complemented
541	C₂²×#95	C₂⁴	1	2	yes	complemented
542	C₂²×#95	C₂⁴	1	2	yes	complemented
543	C₂²×#95	C₂⁴	1	1	yes	characteristic, complemented
544	C₂²×#95	C₂⁴	1	2	yes	complemented
545	C₂²×#95	C₂⁴	1	2	yes	complemented
546	C₂²×#95	C₂⁴	1	8	yes	complemented
547	C₂²×#95	C₂⁴	1	8	yes	complemented
548	C₂²×#95	C₂⁴	1	16	yes	complemented
549	C₂²×#95	C₂⁴	1	16	yes	complemented
550	C₂²×#95	C₂⁴	1	16	yes	complemented
551	C₂²×#95	C₂⁴	1	16	yes	complemented
552	C₂²×#95	C₂⁴	1	16	yes	complemented
553	C₂²×#95	C₂⁴	1	16	yes	complemented
554	C₂²×#95	C₂⁴	1	16	yes	complemented
555	C₂²×#95	C₂⁴	1	8	yes	complemented
556	C₂²×#95	C₂⁴	1	16	yes	complemented
557	C₂²×#95	C₂⁴	1	8	yes	complemented
558	C₂⁶	#120	1	64	yes	—
559	C₂⁶	C₂²×D₄	1	8	yes	—
560	C₂⁶	C₂²×D₄	1	8	yes	—
561	C₂⁶	C₂²×D₄	1	8	yes	—
562	C₂⁶	C₂²×D₄	1	4	yes	—
563	C₂⁶	C₂²×D₄	1	8	yes	—
564	C₂⁶	C₂²×D₄	1	32	yes	—
565	C₂⁶	C₂²×D₄	1	32	yes	—
566	C₂⁶	C₂²×D₄	1	32	yes	—
567	C₂⁶	C₂²×D₄	1	8	yes	—
568	C₂⁶	C₂²×D₄	1	8	yes	—
569	C₂⁶	C₂²×D₄	1	4	yes	—
570	C₂⁶	C₂²×D₄	1	8	yes	—
571	C₂⁶	C₂²×D₄	1	16	yes	—
572	C₂⁶	C₂²×D₄	1	8	yes	—
573	C₂⁶	C₂²×D₄	1	8	yes	—
574	C₂⁶	C₂²×D₄	1	4	yes	—
575	C₂⁶	C₂²×D₄	1	8	yes	—
576	C₂⁶	C₂×#41	1	32	yes	—
577	C₂⁶	C₂×#41	1	16	yes	—
578	C₂⁶	C₂×#41	1	8	yes	—
579	C₂⁶	H(5,𝔽₂)	1	16	yes	—
580	C₂⁶	H(5,𝔽₂)	1	32	yes	—
581	C₂⁶	H(5,𝔽₂)	1	16	yes	—
582	C₂⁶	H(5,𝔽₂)	1	16	yes	—
583	C₂⁶	H(5,𝔽₂)	1	8	yes	—
584	C₂⁶	C₂⁵	1	2	yes	—
585	C₂⁶	C₂⁵	1	2	yes	—
586	C₂⁶	C₂⁵	1	2	yes	—
587	C₂⁶	C₂⁵	1	1	yes	characteristic
588	C₂⁶	C₂⁵	1	1	yes	characteristic
589	C₂⁶	C₂⁵	1	8	yes	—
590	C₂⁶	C₂⁵	1	1	yes	characteristic
591	C₂⁶	C₂⁵	1	2	yes	—
592	C₂³×D₄	C₂²×D₄	1	8	yes	—
593	C₂³×D₄	C₂²×D₄	1	8	yes	—
594	C₂³×D₄	C₂²×D₄	1	16	yes	—
595	C₂³×D₄	C₂²×D₄	1	8	yes	—
596	C₂³×D₄	C₂²×D₄	1	16	yes	—
597	C₂³×D₄	C₂²×D₄	1	8	yes	—
598	C₂³×D₄	C₂²×D₄	1	64	yes	—
599	C₂³×D₄	C₂²×D₄	1	8	yes	—
600	C₂³×D₄	C₂²×D₄	1	8	yes	—
601	C₂³×D₄	C₂²×D₄	1	8	yes	—
602	C₂³×D₄	C₂²×D₄	1	8	yes	—
603	C₂³×D₄	C₂²×D₄	1	8	yes	—
604	C₂³×D₄	C₂²×D₄	1	8	yes	—
605	C₂³×D₄	C₂²×D₄	1	8	yes	—
606	C₂³×D₄	C₂²×D₄	1	16	yes	—
607	C₂³×D₄	C₂²×D₄	1	8	yes	—
608	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
609	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
610	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
611	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
612	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
613	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
614	C₂⁴×C₄	C₂⁵	1	8	yes	—
615	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
616	C₂⁴×C₄	C₂⁵	1	2	yes	—
617	C₂⁴×C₄	C₂⁵	1	2	yes	—
618	C₂⁴×C₄	C₂⁵	1	2	yes	—
619	C₂⁴×C₄	C₂⁵	1	2	yes	—
620	C₂⁴×C₄	C₂⁵	1	16	yes	—
621	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
622	C₂⁴×C₄	C₂⁵	1	2	yes	—
623	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
624	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
625	C₂⁴×C₄	C₂⁵	1	2	yes	—
626	C₂⁴×C₄	C₂⁵	1	2	yes	—
627	C₂⁴×C₄	C₂⁵	1	2	yes	—
628	C₂×#120	#120	1	128	yes	complemented
629	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
630	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
631	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
632	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
633	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
634	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
635	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
636	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
637	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
638	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
639	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
640	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
641	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
642	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
643	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
644	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
645	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
646	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
647	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
648	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
649	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
650	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
651	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
652	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
653	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
654	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
655	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
656	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
657	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
658	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
659	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
660	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
661	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
662	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
663	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
664	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
665	C₂⁵	C₂×#120	1	16	yes	—
666	C₂⁵	C₂×#120	1	32	yes	—
667	C₂⁵	C₂×#120	1	32	yes	—
668	C₂⁵	C₂×#120	1	32	yes	—
669	C₂⁵	C₂×#120	1	16	yes	—
670	C₂⁵	C₂×#120	1	16	yes	—
671	C₂⁵	#525	1	16	yes	—
672	C₂⁵	#534	1	32	yes	—
673	C₂⁵	#535	1	16	yes	—
674	C₂⁵	D₄²	1	64	yes	—
675	C₂⁵	D₄²	1	64	yes	—
676	C₂⁵	D₄²	1	64	yes	—
677	C₂⁵	#546	1	64	yes	—
678	C₂⁵	#546	1	128	yes	complemented
679	C₂⁵	C₂³×D₄	1	4	yes	—
680	C₂⁵	C₂³×D₄	1	8	yes	—
681	C₂⁵	C₂³×D₄	1	4	yes	—
682	C₂⁵	C₂³×D₄	1	4	yes	—
683	C₂⁵	C₂³×D₄	1	2	yes	—
684	C₂⁵	C₂³×D₄	1	4	yes	—
685	C₂⁵	C₂³×D₄	1	8	yes	—
686	C₂⁵	C₂³×D₄	1	4	yes	—
687	C₂⁵	C₂³×D₄	1	4	yes	—
688	C₂⁵	C₂³×D₄	1	4	yes	—
689	C₂⁵	C₂³×D₄	1	2	yes	—
690	C₂⁵	C₂³×D₄	1	32	yes	—
691	C₂⁵	C₂³×D₄	1	4	yes	—
692	C₂⁵	C₂³×D₄	1	4	yes	—
693	C₂⁵	C₂³×D₄	1	4	yes	—
694	C₂⁵	C₂³×D₄	1	8	yes	—
695	C₂⁵	C₂³×D₄	1	2	yes	—
696	C₂⁵	C₂³×D₄	1	8	yes	—
697	C₂⁵	C₂³×D₄	1	4	yes	—
698	C₂⁵	C₂²×#41	1	4	yes	—
699	C₂⁵	C₂²×#41	1	16	yes	—
700	C₂⁵	C₂²×#41	1	8	yes	—
701	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
702	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
703	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
704	C₂⁵	C₂×H(5,𝔽₂)	1	32	yes	—
705	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
706	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
707	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
708	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
709	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
710	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
711	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
712	C₂⁵	C₂⁶	1	1	yes	characteristic
713	C₂²×D₄	C₂×#120	1	32	yes	—
714	C₂²×D₄	C₂×#120	1	32	yes	complemented
715	C₂²×D₄	C₂×#120	1	32	yes	complemented
716	C₂³×C₄	C₂³×D₄	1	2	yes	—
717	C₂³×C₄	C₂³×D₄	1	4	yes	—
718	C₂³×C₄	C₂³×D₄	1	4	yes	—
719	C₂³×C₄	C₂³×D₄	1	2	yes	—
720	C₂³×C₄	C₂³×D₄	1	2	yes	—
721	C₂³×C₄	C₂³×D₄	1	2	yes	—
722	C₂³×C₄	C₂³×D₄	1	4	yes	—
723	C₂³×C₄	C₂³×D₄	1	4	yes	—
724	C₂³×C₄	C₂³×D₄	1	4	yes	—
725	C₂³×C₄	C₂³×D₄	1	32	yes	—
726	C₂³×C₄	C₂³×D₄	1	4	yes	—
727	C₂³×C₄	C₂³×D₄	1	4	yes	—
728	C₂³×C₄	C₂³×D₄	1	4	yes	—
729	C₂³×C₄	C₂³×D₄	1	8	yes	—
730	C₂³×C₄	C₂³×D₄	1	8	yes	—
731	C₂³×C₄	C₂³×D₄	1	8	yes	—
732	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
733	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	complemented
734	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	complemented
735	C₂⁴	#2403	1	128	yes	—
736	C₂⁴	#2404	1	64	yes	complemented
737	C₂⁴	C₂²×#120	1	8	yes	—
738	C₂⁴	C₂²×#120	1	4	yes	—
739	C₂⁴	C₂²×#120	1	8	yes	—
740	C₂⁴	C₂²×#120	1	8	yes	—
741	C₂⁴	C₂²×#120	1	4	yes	—
742	C₂⁴	C₂²×#120	1	4	yes	—
743	C₂⁴	C₂²×#120	1	8	yes	—
744	C₂⁴	C₂²×#120	1	8	yes	—
745	C₂⁴	C₂²×#120	1	8	yes	—
746	C₂⁴	C₂×#525	1	4	yes	—
747	C₂⁴	C₂×#525	1	8	yes	—
748	C₂⁴	C₂×#534	1	8	yes	—
749	C₂⁴	C₂×#534	1	8	yes	—
750	C₂⁴	C₂×#534	1	8	yes	—
751	C₂⁴	C₂×#535	1	4	yes	—
752	C₂⁴	C₂×#535	1	8	yes	—
753	C₂⁴	C₂×D₄²	1	16	yes	—
754	C₂⁴	C₂×D₄²	1	16	yes	—
755	C₂⁴	C₂×D₄²	1	32	yes	—
756	C₂⁴	C₂×D₄²	1	16	yes	—
757	C₂⁴	C₂×D₄²	1	16	yes	—
758	C₂⁴	C₂×D₄²	1	16	yes	—
759	C₂⁴	C₂×D₄²	1	16	yes	—
760	C₂⁴	C₂×D₄²	1	16	yes	—
761	C₂⁴	C₂×#546	1	64	yes	—
762	C₂⁴	C₂×#546	1	16	yes	—
763	C₂⁴	C₂×#546	1	32	yes	—
764	C₂⁴	C₂×#546	1	16	yes	—
765	C₂⁴	C₂×#546	1	16	yes	—
766	C₂⁴	#3484	1	8	yes	—
767	C₂⁴	#3484	1	16	yes	—
768	C₂⁴	#3484	1	64	yes	—
769	C₂⁴	#3484	1	16	yes	—
770	C₂⁴	#3484	1	16	yes	—
771	C₂⁴	#3484	1	32	yes	—
772	C₂⁴	#3484	1	32	yes	—
773	C₂⁴	#3484	1	16	yes	—
774	C₂⁴	#3484	1	8	yes	—
775	C₂⁴	#3484	1	16	yes	—
776	C₂⁴	#3490	1	32	yes	—
777	C₂⁴	#3490	1	32	yes	—
778	C₂⁴	#3532	1	32	yes	—
779	C₂⁴	#3532	1	16	yes	—
780	C₂⁴	#3532	1	32	yes	—
781	C₂⁴	C₂⁴×D₄	1	2	yes	—
782	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
783	C₂⁴	C₂⁴×D₄	1	4	yes	—
784	C₂⁴	C₂³×#41	1	2	yes	—
785	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
786	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
787	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
788	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
789	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
790	C₂²×C₄	C₂²×#120	1	8	yes	—
791	C₂²×C₄	C₂²×#120	1	8	yes	—
792	C₂²×C₄	C₂²×#120	1	8	yes	—
793	C₂³	C₂×#2403	1	16	yes	—
794	C₂³	C₂×#2403	1	16	yes	—
795	C₂³	C₂×#2403	1	16	yes	—
796	C₂³	C₂×#2404	1	8	yes	—
797	C₂³	C₂×#2404	1	16	yes	—
798	C₂³	#35346	1	8	yes	—
799	C₂³	#35346	1	8	yes	—
800	C₂³	#35346	1	16	yes	—
801	C₂³	D₄×#120	1	32	yes	—
802	C₂³	#36098	1	32	yes	—
803	C₂³	#36152	1	32	yes	—
804	C₂³	#37644	1	32	yes	—
805	C₂³	#37645	1	32	yes	—
806	C₂³	#37832	1	32	yes	—
807	C₂³	#58990	1	32	yes	—
808	C₂³	#58991	1	64	yes	—
809	C₂³	#58991	1	64	yes	complemented
810	C₂³	C₂³×#120	1	1	yes	characteristic
811	C₂³	C₂³×#120	1	2	yes	—
812	C₂³	C₂²×#525	1	1	yes	characteristic
813	C₂³	C₂²×#534	1	2	yes	—
814	C₂³	C₂²×#535	1	1	yes	characteristic
815	C₂³	C₂²×D₄²	1	4	yes	—
816	C₂³	C₂²×D₄²	1	4	yes	—
817	C₂³	C₂²×D₄²	1	4	yes	—
818	C₂³	C₂²×#546	1	8	yes	—
819	C₂³	C₂²×#546	1	4	yes	—
820	C₂³	C₂×#3532	1	8	yes	—
821	C₂³	C₂×#3532	1	4	yes	—
822	C₂³	C₂×#3532	1	8	yes	—
823	C₂³	C₂×#3484	1	8	yes	—
824	C₂³	C₂×#3484	1	4	yes	—
825	C₂³	C₂×#3484	1	2	yes	—
826	C₂³	C₂×#3484	1	8	yes	—
827	C₂³	C₂×#3484	1	4	yes	—
828	C₂³	C₂×#3484	1	16	yes	—
829	C₂³	C₂×#3484	1	4	yes	—
830	C₂³	C₂×#3484	1	2	yes	—
831	C₂³	C₂×#3484	1	4	yes	—
832	C₂³	C₂×#3484	1	4	yes	—
833	C₂³	C₂×#3490	1	8	yes	—
834	C₂³	C₂×#3490	1	8	yes	—
835	C₂³	#62817	1	16	yes	—
836	C₂³	#62817	1	8	yes	—
837	C₂³	#62817	1	8	yes	—
838	C₂²	#647656	1	16	yes	—
839	C₂²	#647657	1	32	yes	complemented
840	C₂²	C₂²×#2403	1	2	yes	—
841	C₂²	C₂²×#2404	1	1	yes	characteristic
842	C₂²	C₂×#35346	1	1	yes	characteristic
843	C₂²	C₂×#35346	1	2	yes	—
844	C₂²	C₂×#35346	1	1	yes	characteristic
845	C₂²	C₂×D₄×#120	1	4	yes	—
846	C₂²	C₂×#36098	1	4	yes	—
847	C₂²	C₂×#36152	1	4	yes	—
848	C₂²	#7630939	1	4	yes	—
849	C₂²	#7630944	1	2	yes	—
850	C₂²	C₂×#37644	1	4	yes	—
851	C₂²	C₂×#37645	1	4	yes	—
852	C₂²	C₂×#37832	1	4	yes	—
853	C₂²	#7642244	1	4	yes	—
854	C₂²	#7642273	1	2	yes	—
855	C₂²	C₂×#58990	1	4	yes	—
856	C₂²	C₂×#58991	1	8	yes	—
857	C₂²	C₂×#58991	1	8	yes	—
858	C₂²	#7670203	1	8	yes	—
859	C₂²	#7670203	1	8	yes	—
860	C₂²	#7670203	1	8	yes	—
861	C₂²	#7670206	1	16	yes	—
862	C₂²	#7670206	1	8	yes	—
863	C₂²	#7708349	1	4	yes	—
864	C₂²	#7708349	1	16	yes	—
865	C₂²	#7708349	1	8	yes	—
866	C₂²	#7708352	1	8	yes	—
867	C₂²	#8108058	1	8	yes	—
868	C₂	#72217875	1	2	yes	—
869	C₂	C₂×#647656	1	1	yes	characteristic
870	C₂	#72232048	1	1	yes	characteristic
871	C₂	#72232106	1	8	yes	—
872	C₂	#72232139	1	8	yes	—
873	C₂	#72232720	1	4	yes	—
874	C₂	C₂×#647657	1	2	yes	—
875	C₂	#72259101	1	1	yes	characteristic
876	C₂	#72329749	1	4	yes	—

	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. #72336219	C₂	semidirect
2. #72336180	C₂	semidirect
3. #72330445	C₂	semidirect
4. #72330346	C₂	semidirect
5. #72330343	C₂	semidirect
6. #72330254	C₂	semidirect
7. #72330251	C₂	semidirect
8. #72330248	C₂	semidirect
9. #72330245	C₂	semidirect
10. #72328362	C₂	semidirect
11. #72323475	C₂	semidirect
12. #72287882	C₂	semidirect
13. #72258110	C₂	semidirect
14. #72252092	C₂	semidirect
15. #72252084	C₂	semidirect
16. #72251015	C₂	semidirect
17. #72250275	C₂	semidirect
18. #72236727	C₂	semidirect
19. C₂²×#58991	C₂	semidirect
20. C₂×#647657	C₂	semidirect
21. C₂²×#14679	C₂	semidirect
22. C₂³×#2846	C₂	semidirect
24. C₂³×#546	C₂²	semidirect
27. C₂⁴×#120	C₂²	semidirect
28. C₂⁴×#120	C₂²	semidirect
29. C₂²×#2670	C₂²	semidirect
30. C₂²×#2678	C₂²	semidirect
31. C₂²×#2668	C₂²	semidirect
36. C₂²×#2846	C₂²	semidirect
37. C₂²×#2846	C₂²	semidirect
38. C₂²×#2846	C₂²	semidirect
39. C₂²×#2846	C₂²	semidirect
40. C₂²×#2539	C₂²	semidirect
41. C₂²×#2404	C₂²	semidirect
42. C₂²×#2404	C₂²	semidirect
43. C₂²×#2408	C₂²	semidirect
44. C₂²×#2472	C₂²	semidirect
45. C₂²×#2412	C₂²	semidirect
46. C₂²×#2424	C₂²	semidirect
47. C₂²×#2418	C₂²	semidirect
48. C₂²×#2437	C₂²	semidirect
49. C₂²×#2410	C₂²	semidirect
50. C₂²×#2410	C₂²	semidirect
51. C₂²×#2403	C₂²	semidirect
52. C₂²×#2358	C₂²	semidirect
53. C₂²×D₄×C₂²⋊C₄	C₂²	semidirect
58. C₂³×#379	C₂²	semidirect
59. C₂³×#379	C₂²	semidirect
60. C₂³×#379	C₂²	semidirect
61. C₂³×#379	C₂²	semidirect
62. C₂³×#379	C₂²	semidirect
63. C₂³×#379	C₂²	semidirect
64. C₂×#15948	C₂²	semidirect
65. C₂×#15259	C₂²	semidirect
66. C₂×#15257	C₂²	semidirect
67. C₂×#15257	C₂²	semidirect
68. C₂×#15257	C₂²	semidirect
69. C₂×#14911	C₂²	semidirect
70. C₂×#14717	C₂²	semidirect
71. C₂×#14716	C₂²	semidirect
72. C₂×#14716	C₂²	semidirect
73. C₂×#14715	C₂²	semidirect
74. C₂×#14715	C₂²	semidirect
77. C₂×#14679	C₂²	semidirect
78. C₂×#14679	C₂²	semidirect
79. C₂×#14679	C₂²	semidirect
80. C₂×#14679	C₂²	semidirect
81. C₂×#14134	C₂²	semidirect
82. C₂×#14134	C₂²	semidirect
83. C₂×#13967	C₂²	semidirect
84. C₂×#13967	C₂²	semidirect
85. C₂×#13967	C₂²	semidirect
86. C₂×#13869	C₂²	semidirect
87. C₂×#13867	C₂²	semidirect
88. C₂×#13867	C₂²	semidirect
89. C₂×#13867	C₂²	semidirect
90. #156699	C₂²	semidirect
91. #156699	C₂²	semidirect
92. #156698	C₂²	semidirect
93. #156698	C₂²	semidirect
94. #156689	C₂²	semidirect
95. #156688	C₂²	semidirect
96. #156688	C₂²	semidirect
97. #156688	C₂²	semidirect
98. #156688	C₂²	semidirect
99. #156688	C₂²	semidirect
100. #156688	C₂²	semidirect
101. #156685	C₂²	semidirect
102. #156685	C₂²	semidirect
103. #156684	C₂²	semidirect
104. #156684	C₂²	semidirect
105. #156684	C₂²	semidirect
106. #156684	C₂²	semidirect
107. #156684	C₂²	semidirect
108. #156684	C₂²	semidirect
109. #156684	C₂²	semidirect
110. #155799	C₂²	semidirect
111. #155799	C₂²	semidirect
112. #155622	C₂²	semidirect
113. #155622	C₂²	semidirect
114. #154676	C₂²	semidirect
115. #154676	C₂²	semidirect
116. #154676	C₂²	semidirect
117. #154671	C₂²	semidirect
118. #154671	C₂²	semidirect
119. #154671	C₂²	semidirect
120. #154671	C₂²	semidirect
121. #154670	C₂²	semidirect
122. #154670	C₂²	semidirect
123. #154670	C₂²	semidirect
124. #154670	C₂²	semidirect
125. #154200	C₂²	semidirect
126. #154200	C₂²	semidirect
127. #154195	C₂²	semidirect
128. #154195	C₂²	semidirect
129. #154195	C₂²	semidirect
130. #154195	C₂²	semidirect
131. #154195	C₂²	semidirect
132. #154195	C₂²	semidirect
133. #154195	C₂²	semidirect
134. #154195	C₂²	semidirect
135. #154195	C₂²	semidirect
136. #154195	C₂²	semidirect
137. #154194	C₂²	semidirect
138. #154194	C₂²	semidirect
139. #154194	C₂²	semidirect
140. #154130	C₂²	semidirect
141. #154130	C₂²	semidirect
142. #154096	C₂²	semidirect
143. #154096	C₂²	semidirect
144. #154095	C₂²	semidirect
145. #154095	C₂²	semidirect
146. #154094	C₂²	semidirect
147. #154094	C₂²	semidirect
148. #153851	C₂²	semidirect
149. #153851	C₂²	semidirect
150. #153851	C₂²	semidirect
151. #153851	C₂²	semidirect
152. #153851	C₂²	semidirect
153. #153749	C₂²	semidirect
154. #153749	C₂²	semidirect
161. C₂⁴×#41	C₂³	semidirect
166. C₂³×#124	C₂³	semidirect
167. C₂³×#123	C₂³	semidirect
168. C₂³×#123	C₂³	semidirect
169. C₂³×C₂²⋊Q₈	C₂³	semidirect
170. C₂³×#121	C₂³	semidirect
171. C₂³×#121	C₂³	semidirect
172. C₂³×#121	C₂³	semidirect
173. C₂³×#121	C₂³	semidirect
174. C₂³×#121	C₂³	semidirect
175. C₂³×#120	D₄	semidirect
196. C₂³×#120	C₂³	semidirect
197. C₂³×#120	C₂³	semidirect
198. C₂³×C₄×D₄	C₂³	semidirect
199. C₂³×C₄×D₄	C₂³	semidirect
200. C₂³×C₄×D₄	C₂³	semidirect
219. C₂⁴×C₂²⋊C₄	C₂³	semidirect
220. C₂×#2846	D₄	semidirect
221. C₂²×#399	C₂³	semidirect
222. C₂²×#399	C₂³	semidirect
223. C₂²×#397	C₂³	semidirect
224. C₂²×#397	C₂³	semidirect
225. C₂²×#396	C₂³	semidirect
226. C₂²×#394	C₂³	semidirect
227. C₂²×#394	C₂³	semidirect
228. C₂²×#394	C₂³	semidirect
229. C₂²×#394	C₂³	semidirect
230. C₂²×#394	C₂³	semidirect
231. C₂²×#394	C₂³	semidirect
232. C₂²×#393	C₂³	semidirect
233. C₂²×#393	C₂³	semidirect
234. C₂²×#393	C₂³	semidirect
235. C₂²×#392	C₂³	semidirect
236. C₂²×#392	C₂³	semidirect
237. C₂²×#392	C₂³	semidirect
238. C₂²×#392	C₂³	semidirect
239. C₂²×#392	C₂³	semidirect
240. C₂²×#392	C₂³	semidirect
241. C₂²×#392	C₂³	semidirect
242. C₂²×#392	C₂³	semidirect
243. C₂²×#392	C₂³	semidirect
244. C₂²×#392	C₂³	semidirect
245. C₂²×#390	C₂³	semidirect
246. C₂²×#390	C₂³	semidirect
247. C₂²×#390	C₂³	semidirect
248. C₂²×#390	C₂³	semidirect
249. C₂²×#388	C₂³	semidirect
250. C₂²×#388	C₂³	semidirect
251. C₂²×#388	C₂³	semidirect
252. C₂²×#386	C₂³	semidirect
253. C₂²×#386	C₂³	semidirect
254. C₂²×#386	C₂³	semidirect
255. C₂²×#386	C₂³	semidirect
256. C₂²×#386	C₂³	semidirect
257. C₂²×#386	C₂³	semidirect
258. C₂²×#386	C₂³	semidirect
259. C₂²×#386	C₂³	semidirect
260. C₂²×#386	C₂³	semidirect
261. C₂²×#386	C₂³	semidirect
262. C₂²×#386	C₂³	semidirect
263. C₂²×#386	C₂³	semidirect
264. C₂²×#386	C₂³	semidirect
265. C₂²×#386	C₂³	semidirect
266. C₂²×#386	C₂³	semidirect
267. C₂²×#386	C₂³	semidirect
268. C₂²×#385	C₂³	semidirect
269. C₂²×#385	C₂³	semidirect
270. C₂²×#385	C₂³	semidirect
271. C₂²×#381	C₂³	semidirect
272. C₂²×#381	C₂³	semidirect
273. C₂²×#380	C₂³	semidirect
274. C₂²×#380	C₂³	semidirect
275. C₂²×#379	D₄	semidirect
316. C₂²×#379	C₂³	semidirect
317. C₂²×#379	C₂³	semidirect
318. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
319. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
320. C₂×#1440	C₂³	semidirect
321. C₂×#1440	C₂³	semidirect
322. C₂×#1440	C₂³	semidirect
323. C₂×#1440	C₂³	semidirect
324. C₂×#1440	C₂³	semidirect
325. C₂×#1439	C₂³	semidirect
326. C₂×#1439	C₂³	semidirect
327. C₂×#1439	C₂³	semidirect
328. C₂×#1439	C₂³	semidirect
329. C₂×#1439	C₂³	semidirect
330. C₂×#1439	C₂³	semidirect
331. C₂×#1439	C₂³	semidirect
332. C₂×#1438	C₂³	semidirect
333. C₂×#1438	C₂³	semidirect
334. C₂×#1438	C₂³	semidirect
335. C₂×#1438	C₂³	semidirect
336. C₂×#1438	C₂³	semidirect
337. C₂×#1438	C₂³	semidirect
338. C₂×#1438	C₂³	semidirect
339. C₂×#1438	C₂³	semidirect
340. C₂×#1438	C₂³	semidirect
341. C₂×#1438	C₂³	semidirect
342. C₂×#1438	C₂³	semidirect
343. C₂×#1438	C₂³	semidirect
344. C₂×#1438	C₂³	semidirect
345. C₂×#1438	C₂³	semidirect
346. C₂×#1438	C₂³	semidirect
347. C₂×#1438	C₂³	semidirect
348. C₂×#1438	C₂³	semidirect
349. C₂×#1438	C₂³	semidirect
350. C₂×#1437	C₂³	semidirect
351. C₂×#1437	C₂³	semidirect
352. C₂×C₂²⋊#95	C₂³	semidirect
353. C₂×C₂²⋊#95	C₂³	semidirect
354. C₂×C₂²⋊#95	C₂³	semidirect
355. C₂×C₂²⋊#95	C₂³	semidirect
356. C₂×C₂²⋊#95	C₂³	semidirect
357. C₂×C₂²⋊#95	C₂³	semidirect
358. C₂×C₂²⋊#95	C₂³	semidirect
359. C₂×C₂²⋊#95	C₂³	semidirect
360. C₂×C₂²⋊#95	C₂³	semidirect
361. C₂×C₂²⋊#95	C₂³	semidirect
362. C₂×C₂²⋊#95	C₂³	semidirect
363. C₂×C₂²⋊#95	C₂³	semidirect
364. C₂×C₂²⋊#95	C₂³	semidirect
365. #7555	C₂³	semidirect
366. #7555	C₂³	semidirect
367. #7555	C₂³	semidirect
368. #7555	C₂³	semidirect
369. #7555	C₂³	semidirect
370. #7555	C₂³	semidirect
371. #7555	C₂³	semidirect
372. #7555	C₂³	semidirect
373. #7555	C₂³	semidirect
374. #7555	C₂³	semidirect
375. #7555	C₂³	semidirect
376. #7555	C₂³	semidirect
377. #7555	C₂³	semidirect
378. #7555	C₂³	semidirect
379. #7555	C₂³	semidirect
380. #7555	C₂³	semidirect
381. #7555	C₂³	semidirect
382. #7555	C₂³	semidirect
383. #7555	C₂³	semidirect
384. #7555	C₂³	semidirect
385. #7555	C₂³	semidirect
386. #7555	C₂³	semidirect
387. #7555	C₂³	semidirect
388. #7555	C₂³	semidirect
389. #7555	C₂³	semidirect
393. C₂⁷	#41	semidirect
405. C₂⁴×Q₈	C₂⁴	semidirect
407. C₂⁴×D₄	C₂×D₄	semidirect
408. C₂⁴×D₄	C₂×D₄	semidirect
423. C₂⁴×D₄	C₂⁴	semidirect
424. C₂⁴×D₄	C₂⁴	semidirect
425. C₂⁴×D₄	C₂⁴	semidirect
434. C₂⁵×C₄	C₂⁴	semidirect
435. C₂⁵×C₄	C₂⁴	semidirect
442. C₂²×#120	C₂×D₄	semidirect
443. C₂²×#120	C₂×D₄	semidirect
444. C₂²×#120	C₂×D₄	semidirect
445. C₂²×#120	C₂×D₄	semidirect
446. C₂²×#120	C₂×D₄	semidirect
447. C₂²×#120	C₂×D₄	semidirect
448. C₂³×C₄⋊C₄	C₂⁴	semidirect
449. C₂³×C₄⋊C₄	C₂⁴	semidirect
450. C₂³×C₄⋊C₄	C₂⁴	semidirect
451. C₂³×C₄⋊C₄	C₂⁴	semidirect
452. C₂³×C₄⋊C₄	C₂⁴	semidirect
453. C₂³×C₄⋊C₄	C₂⁴	semidirect
454. C₂³×C₄⋊C₄	C₂⁴	semidirect
456. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
457. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
458. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
459. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
460. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
461. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
511. C₂³×C₂²⋊C₄	C₂⁴	semidirect
512. C₂³×C₂²⋊C₄	C₂⁴	semidirect
513. C₂³×C₂²⋊C₄	C₂⁴	semidirect
514. C₂³×C₂²⋊C₄	C₂⁴	semidirect
515. C₂³×C₂²⋊C₄	C₂⁴	semidirect
516. C₂³×C₂²⋊C₄	C₂⁴	semidirect
517. C₂³×C₂²⋊C₄	C₂⁴	semidirect
518. C₂³×C₂²⋊C₄	C₂⁴	semidirect
519. C₂³×C₂²⋊C₄	C₂⁴	semidirect
520. C₂³×C₂²⋊C₄	C₂⁴	semidirect
521. C₂³×C₂²⋊C₄	C₂⁴	semidirect
522. C₂³×C₂²⋊C₄	C₂⁴	semidirect
523. C₂³×C₄²	C₂⁴	semidirect
524. C₂³×C₄²	C₂⁴	semidirect
529. C₂×#379	C₂×D₄	semidirect
530. C₂×#379	C₂×D₄	semidirect
531. C₂×#379	C₂×D₄	semidirect
532. C₂×#379	C₂×D₄	semidirect
533. C₂×#379	C₂×D₄	semidirect
534. C₂×#379	C₂×D₄	semidirect
535. C₂²×#95	C₂⁴	semidirect
536. C₂²×#95	C₂⁴	semidirect
537. C₂²×#95	C₂⁴	semidirect
538. C₂²×#95	C₂⁴	semidirect
539. C₂²×#95	C₂⁴	semidirect
540. C₂²×#95	C₂⁴	semidirect
541. C₂²×#95	C₂⁴	semidirect
542. C₂²×#95	C₂⁴	semidirect
543. C₂²×#95	C₂⁴	semidirect
544. C₂²×#95	C₂⁴	semidirect
545. C₂²×#95	C₂⁴	semidirect
546. C₂²×#95	C₂⁴	semidirect
547. C₂²×#95	C₂⁴	semidirect
548. C₂²×#95	C₂⁴	semidirect
549. C₂²×#95	C₂⁴	semidirect
550. C₂²×#95	C₂⁴	semidirect
551. C₂²×#95	C₂⁴	semidirect
552. C₂²×#95	C₂⁴	semidirect
553. C₂²×#95	C₂⁴	semidirect
554. C₂²×#95	C₂⁴	semidirect
555. C₂²×#95	C₂⁴	semidirect
556. C₂²×#95	C₂⁴	semidirect
557. C₂²×#95	C₂⁴	semidirect
628. C₂×#120	#120	semidirect
678. C₂⁵	#546	semidirect
714. C₂²×D₄	C₂×#120	semidirect
715. C₂²×D₄	C₂×#120	semidirect
733. C₂×C₂²⋊C₄	C₂×#120	semidirect
734. C₂×C₂²⋊C₄	C₂×#120	semidirect
736. C₂⁴	#2404	semidirect
809. C₂³	#58991	semidirect
839. C₂²	#647657	semidirect

Maximal subgroups

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

subgroup	index
#72336219	2
#72336180	2
#72330445	2
#72330346	2
#72330343	2
#72330254	2
#72330251	2
#72330248	2
#72330245	2
#72328362	2
#72323475	2
#72287882	2
#72258110	2
#72252092	2
#72252084	2
#72251015	2
#72250275	2
#72236727	2
C₂²×#58991	2
C₂×#647657	2
C₂²×#14679	2
C₂³×#2846	2