Subgroups — #72322236

Order 2048.

At least 6406 conjugacy classes of subgroups; only the 834 normal subgroups are shown.

The subgroup lattice has 688 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72322230	C₂	1	1	yes	maximal, characteristic, complemented
2	#72322223	C₂	1	1	yes	maximal, characteristic, complemented
3	#72322220	C₂	1	1	yes	maximal, characteristic, complemented
4	#72322216	C₂	1	1	yes	maximal, characteristic, complemented
5	#72322108	C₂	1	1	yes	maximal, characteristic, complemented
6	#72322090	C₂	1	1	yes	maximal, characteristic, complemented
7	#72322044	C₂	1	1	yes	maximal, characteristic, complemented
8	#72321837	C₂	1	1	yes	maximal, characteristic, complemented
9	#72321245	C₂	1	1	yes	maximal, characteristic, complemented
10	#72321084	C₂	1	1	yes	maximal, characteristic, complemented
11	#72320830	C₂	1	1	yes	maximal, characteristic, complemented
12	#72320747	C₂	1	1	yes	maximal, characteristic, complemented
13	#72320676	C₂	1	1	yes	maximal, characteristic, complemented
14	#72320655	C₂	1	1	yes	maximal, characteristic, complemented
15	#72320515	C₂	1	1	yes	maximal, characteristic, complemented
16	#72320120	C₂	1	1	yes	maximal, characteristic, complemented
17	#72309659	C₂	1	1	yes	maximal, characteristic, complemented
18	#72250741	C₂	1	1	yes	maximal, characteristic, complemented
19	#72250503	C₂	1	1	yes	maximal, characteristic, complemented
20	#72250218	C₂	1	1	yes	maximal, characteristic, complemented
21	#72250205	C₂	1	1	yes	maximal, characteristic, complemented
22	#72250199	C₂	1	1	yes	maximal, characteristic, complemented
23	#72250169	C₂	1	1	yes	maximal, characteristic, complemented
24	#72249982	C₂	1	1	yes	maximal, characteristic, complemented
25	#72249979	C₂	1	1	yes	maximal, characteristic, complemented
26	#72249946	C₂	1	1	yes	maximal, characteristic, complemented
27	#72249938	C₂	1	1	yes	maximal, characteristic, complemented
28	#72249916	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#500743	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#495739	C₂	1	1	yes	maximal, characteristic, complemented
31	#72231505	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#61049	C₂²	1	1	yes	characteristic
33	C₂×#60176	C₂²	1	1	yes	characteristic
34	C₂×#33595	C₂²	1	1	yes	characteristic
35	#7622935	C₂²	1	1	yes	characteristic
36	C₂×#33539	C₂²	1	1	yes	characteristic
37	C₂×#33539	C₂²	1	1	yes	characteristic
38	C₂×#33517	C₂²	1	1	yes	characteristic
39	C₂×#33517	C₂²	1	1	yes	characteristic
40	C₂×#33471	C₂²	1	1	yes	characteristic
41	C₂×#33468	C₂²	1	1	yes	characteristic, complemented
42	C₂²×AGL(1,ℤ/16)	C₂²	1	1	yes	characteristic
43	#6629756	C₂²	1	1	yes	characteristic
44	C₂×#28180	C₂²	1	1	yes	characteristic
45	#6457372	C₂²	1	1	yes	characteristic
46	#6457180	C₂²	1	1	yes	characteristic
47	#6444562	C₂²	1	1	yes	characteristic
48	#6444520	C₂²	1	1	yes	characteristic
49	#6444096	C₂²	1	1	yes	characteristic
50	#6444059	C₂²	1	1	yes	characteristic
51	#6382746	C₂²	1	1	yes	characteristic, complemented
52	#6380143	C₂²	1	1	yes	characteristic
53	#6380131	C₂²	1	1	yes	characteristic
54	#6379155	C₂²	1	1	yes	characteristic
55	#6379134	C₂²	1	1	yes	characteristic
56	C₂×#22436	C₂²	1	1	yes	characteristic
57	#6373016	C₂²	1	1	yes	characteristic
58	C₂×#21559	C₂²	1	1	yes	characteristic, complemented
59	#499305	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13396	C₂²	1	1	yes	characteristic
61	C₂×#13395	C₂²	1	1	yes	characteristic
62	#498869	C₂²	1	1	yes	characteristic, complemented
63	#498867	C₂²	1	1	yes	characteristic, complemented
64	#498860	C₂²	1	1	yes	characteristic
65	C₂×#13310	C₂²	1	1	yes	characteristic
66	C₂×#13310	C₂²	1	1	yes	characteristic
67	C₂×#13309	C₂²	1	1	yes	characteristic
68	C₂×#13309	C₂²	1	1	yes	characteristic
69	C₂×#13249	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13215	C₂²	1	1	yes	characteristic
71	#495135	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13200	C₂²	1	1	yes	characteristic
73	#495070	C₂²	1	1	yes	characteristic, complemented
74	#494924	C₂²	1	1	yes	characteristic, complemented
75	#494923	C₂²	1	1	yes	characteristic, complemented
76	#494880	C₂²	1	1	yes	characteristic, complemented
77	#494879	C₂²	1	1	yes	characteristic, complemented
78	#494777	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13040	C₂²	1	1	yes	characteristic, complemented
80	#494560	C₂²	1	1	yes	characteristic
81	#494559	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13037	C₂²	1	1	yes	characteristic
83	C₂×#13037	C₂²	1	1	yes	characteristic
84	C₂×#13037	C₂²	1	1	yes	characteristic
85	C₂×#13033	C₂²	1	1	yes	characteristic
86	C₂×#13033	C₂²	1	1	yes	characteristic
87	C₂×#13030	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13030	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13005	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13005	C₂²	1	1	yes	characteristic, complemented
91	C₂×#12956	C₂²	1	1	yes	characteristic
92	#494335	C₂²	1	1	yes	characteristic, complemented
93	#494334	C₂²	1	1	yes	characteristic, complemented
94	C₂×#12953	C₂²	1	1	yes	characteristic
95	#494325	C₂²	1	1	yes	characteristic, complemented
96	C₂×#12949	C₂²	1	1	yes	characteristic, complemented
97	C₂×#12934	C₂²	1	1	yes	characteristic, complemented
98	C₂×#12826	C₂²	1	1	yes	characteristic
99	C₂×#12750	C₂²	1	1	yes	characteristic
100	C₂×#12750	C₂²	1	1	yes	characteristic
101	C₂×#12736	C₂²	1	1	yes	characteristic
102	C₂×#12736	C₂²	1	1	yes	characteristic
103	#493129	C₂²	1	1	yes	characteristic, complemented
104	C₂×#12649	C₂²	1	1	yes	characteristic, complemented
105	C₂×#12647	C₂²	1	1	yes	characteristic
106	#493071	C₂²	1	1	yes	characteristic
107	C₂×#12609	C₂²	1	1	yes	characteristic, complemented
108	#416373	C₂²	1	1	yes	characteristic, complemented
109	#411841	C₂²	1	1	yes	characteristic, complemented
110	#411837	C₂²	1	1	yes	characteristic, complemented
111	#411708	C₂²	1	1	yes	characteristic
112	#393095	C₂²	1	1	yes	characteristic, complemented
113	#368420	C₂²	1	1	yes	characteristic, complemented
114	#367062	C₂²	1	1	yes	characteristic, complemented
115	#366453	C₂²	1	1	yes	characteristic, complemented
116	#366445	C₂²	1	1	yes	characteristic, complemented
117	#365015	C₂²	1	1	yes	characteristic, complemented
118	#360969	C₂²	1	1	yes	characteristic, complemented
119	#149375	C₂²	1	1	yes	characteristic, complemented
120	#149338	C₂²	1	1	yes	characteristic, complemented
121	#149236	C₂²	1	1	yes	characteristic, complemented
122	#149191	C₂²	1	1	yes	characteristic, complemented
123	#148869	C₂²	1	1	yes	characteristic, complemented
124	#148783	C₂²	1	1	yes	characteristic, complemented
125	#148744	C₂²	1	1	yes	characteristic, complemented
126	#148741	C₂²	1	1	yes	characteristic, complemented
127	#148722	C₂²	1	1	yes	characteristic, complemented
128	#148682	C₂²	1	1	yes	characteristic, complemented
129	#148635	C₂²	1	1	yes	characteristic, complemented
130	#148631	C₂²	1	1	yes	characteristic, complemented
131	#148570	C₂²	1	1	yes	characteristic, complemented
132	#148566	C₂²	1	1	yes	characteristic, complemented
133	#148373	C₂²	1	1	yes	characteristic, complemented
134	#148294	C₂²	1	1	yes	characteristic, complemented
135	#148284	C₂²	1	1	yes	characteristic, complemented
136	#148282	C₂²	1	1	yes	characteristic, complemented
137	#148282	C₂²	1	1	yes	characteristic, complemented
138	#148191	C₂²	1	1	yes	characteristic, complemented
139	#148190	C₂²	1	1	yes	characteristic, complemented
140	#148164	C₂²	1	1	yes	characteristic, complemented
141	#148125	C₂²	1	1	yes	characteristic, complemented
142	#148114	C₂²	1	1	yes	characteristic, complemented
143	#148114	C₂²	1	1	yes	characteristic, complemented
144	#148105	C₂²	1	1	yes	characteristic, complemented
145	#148060	C₂²	1	1	yes	characteristic, complemented
146	#148060	C₂²	1	1	yes	characteristic, complemented
147	#147961	C₂²	1	1	yes	characteristic, complemented
148	#147957	C₂²	1	1	yes	characteristic, complemented
149	#147953	C₂²	1	1	yes	characteristic, complemented
150	#147953	C₂²	1	1	yes	characteristic, complemented
151	#147947	C₂²	1	1	yes	characteristic, complemented
152	#147947	C₂²	1	1	yes	characteristic, complemented
153	#147938	C₂²	1	1	yes	characteristic, complemented
154	#147938	C₂²	1	1	yes	characteristic, complemented
155	#147887	C₂²	1	1	yes	characteristic
156	#147684	C₂²	1	1	yes	characteristic, complemented
157	#147684	C₂²	1	1	yes	characteristic, complemented
158	#147658	C₂²	1	1	yes	characteristic
159	#147643	C₂²	1	1	yes	characteristic
160	#147642	C₂²	1	1	yes	characteristic, complemented
161	#147642	C₂²	1	1	yes	characteristic, complemented
162	#147621	C₂²	1	1	yes	characteristic, complemented
163	#147621	C₂²	1	1	yes	characteristic, complemented
164	#147545	C₂²	1	1	yes	characteristic
165	#147465	C₂²	1	1	yes	characteristic, complemented
166	#147427	C₂²	1	1	yes	characteristic, complemented
167	#147410	C₂²	1	1	yes	characteristic, complemented
168	#147408	C₂²	1	1	yes	characteristic, complemented
169	#147372	C₂²	1	1	yes	characteristic, complemented
170	#147372	C₂²	1	1	yes	characteristic, complemented
171	#147362	C₂²	1	1	yes	characteristic, complemented
172	#147360	C₂²	1	1	yes	characteristic, complemented
173	#147243	C₂²	1	1	yes	characteristic, complemented
174	#147199	C₂²	1	1	yes	characteristic, complemented
175	#147195	C₂²	1	1	yes	characteristic, complemented
176	#147130	C₂²	1	1	yes	characteristic, complemented
177	#146802	C₂²	1	1	yes	characteristic, complemented
178	#146799	C₂²	1	1	yes	characteristic
179	#146799	C₂²	1	1	yes	characteristic
180	#146792	C₂²	1	1	yes	characteristic
181	#146783	C₂²	1	1	yes	characteristic
182	#146761	C₂²	1	1	yes	characteristic, complemented
183	#146750	C₂²	1	1	yes	characteristic
184	#146734	C₂²	1	1	yes	characteristic
185	#146551	C₂²	1	1	yes	characteristic, complemented
186	#146385	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#576	C₂³	1	1	yes	characteristic
188	C₂⁴×D₈	C₂³	1	1	yes	characteristic
189	C₂×#3414	C₂³	1	1	yes	characteristic
190	C₂×#3414	C₂³	1	1	yes	characteristic
191	C₂²×#509	C₂³	1	1	yes	characteristic
192	C₂²×#509	C₂³	1	1	yes	characteristic
193	C₂²×#509	C₂³	1	1	yes	characteristic
194	C₂²×#509	C₂³	1	1	yes	characteristic
195	#60643	C₂³	1	1	yes	characteristic
196	C₂×#3155	C₂³	1	1	yes	characteristic
197	C₂×#3067	C₂³	1	1	yes	characteristic
198	C₂×#3067	C₂³	1	1	yes	characteristic
199	C₂×#3058	C₂³	1	1	yes	characteristic
200	C₂×#3050	C₂³	1	1	yes	characteristic
201	C₂×#3050	C₂³	1	1	yes	characteristic
202	C₂×#3050	C₂³	1	1	yes	characteristic
203	C₂×#2957	C₂³	1	1	yes	characteristic
204	C₂²×#444	C₂³	1	1	yes	characteristic
205	C₂×#2952	C₂³	1	1	yes	characteristic
206	C₂×#2948	C₂³	1	1	yes	characteristic
207	C₂×#2948	C₂³	1	1	yes	characteristic
208	C₂×#2948	C₂³	1	1	yes	characteristic
209	C₂×#2943	C₂³	1	1	yes	characteristic
210	C₂²×#442	C₂³	1	1	yes	characteristic
211	C₂²×#442	C₂³	1	1	yes	characteristic
212	C₂×#2929	C₂³	1	1	yes	characteristic
213	C₂×#2912	C₂³	1	1	yes	characteristic
214	C₂×#2875	C₂³	1	1	yes	characteristic
215	#34742	D₄	1	1	yes	characteristic
216	C₂×#2155	C₂³	1	1	yes	characteristic
217	C₂×#2155	C₂³	1	1	yes	characteristic
218	C₂²×#365	C₂³	1	1	yes	characteristic
219	C₂²×#365	C₂³	1	1	yes	characteristic
220	C₂×#2153	C₂³	1	1	yes	characteristic
221	#33397	C₂³	1	1	yes	characteristic
222	C₂×#2148	C₂³	1	1	yes	characteristic
223	C₂×#2148	C₂³	1	1	yes	characteristic
224	C₂²×#361	C₂³	1	1	yes	characteristic
225	C₂²×#361	C₂³	1	1	yes	characteristic
226	C₂²×#361	C₂³	1	1	yes	characteristic
227	C₂²×#361	C₂³	1	1	yes	characteristic
228	C₂²×#361	C₂³	1	1	yes	characteristic
229	C₂²×#361	C₂³	1	1	yes	characteristic
230	C₂²×#361	C₂³	1	1	yes	characteristic
231	C₂²×#361	C₂³	1	1	yes	characteristic
232	C₂×#2145	C₂³	1	1	yes	characteristic
233	C₂×#2145	C₂³	1	1	yes	characteristic
234	C₂×#2145	C₂³	1	1	yes	characteristic
235	C₂×#2145	C₂³	1	1	yes	characteristic
236	C₂×#2145	C₂³	1	1	yes	characteristic
237	C₂×#2145	C₂³	1	1	yes	characteristic
238	C₂²×#360	C₂³	1	1	yes	characteristic
239	C₂²×#360	C₂³	1	1	yes	characteristic
240	C₂²×#360	C₂³	1	1	yes	characteristic
241	C₂²×#360	C₂³	1	1	yes	characteristic
242	C₂×#2143	C₂³	1	1	yes	characteristic
243	C₂×#2143	C₂³	1	1	yes	characteristic
244	#33380	C₂³	1	1	yes	characteristic
245	#33380	C₂³	1	1	yes	characteristic
246	C₂×#2140	C₂³	1	1	yes	characteristic
247	C₂×#2140	C₂³	1	1	yes	characteristic
248	C₂×#2140	C₂³	1	1	yes	characteristic
249	C₂×#2140	C₂³	1	1	yes	characteristic
250	C₂×#2117	C₂³	1	1	yes	characteristic
251	C₂×#2117	C₂³	1	1	yes	characteristic
252	C₂×#2117	C₂³	1	1	yes	characteristic
253	C₂×#2117	C₂³	1	1	yes	characteristic
254	C₂×#2112	C₂³	1	1	yes	characteristic
255	C₂×#2112	C₂³	1	1	yes	characteristic
256	C₂×#2112	C₂³	1	1	yes	characteristic
257	C₂×#2112	C₂³	1	1	yes	characteristic
258	C₂×#2110	C₂³	1	1	yes	characteristic
259	C₂²×#347	C₂³	1	1	yes	characteristic
260	C₂²×#347	C₂³	1	1	yes	characteristic
261	#33324	C₂³	1	1	yes	characteristic
262	#26264	D₄	1	2	yes	complemented
263	#26264	D₄	1	2	yes	complemented
264	#26263	D₄	1	2	yes	complemented
265	#26263	D₄	1	2	yes	complemented
266	#22672	D₄	1	2	yes	complemented
267	#22672	D₄	1	2	yes	complemented
268	#22670	D₄	1	2	yes	complemented
269	#22670	D₄	1	2	yes	complemented
270	C₂×#1976	C₂³	1	1	yes	characteristic
271	C₂×#1976	C₂³	1	1	yes	characteristic
272	#21240	C₂³	1	1	yes	characteristic
273	C₂×#1975	C₂³	1	1	yes	characteristic
274	C₂×#1975	C₂³	1	1	yes	characteristic
275	C₂×#1975	C₂³	1	1	yes	characteristic
276	#21233	C₂³	1	1	yes	characteristic
277	#21233	C₂³	1	1	yes	characteristic
278	#21229	C₂³	1	1	yes	characteristic
279	#21228	C₂³	1	1	yes	characteristic
280	C₂×#1972	C₂³	1	1	yes	characteristic
281	C₂×#1972	C₂³	1	1	yes	characteristic
282	C₂×#1953	C₂³	1	1	yes	characteristic
283	C₂×#1946	C₂³	1	1	yes	characteristic
284	#21157	C₂³	1	1	yes	characteristic
285	#21157	C₂³	1	1	yes	characteristic
286	#21155	C₂³	1	1	yes	characteristic
287	#21154	C₂³	1	1	yes	characteristic
288	#21053	D₄	1	1	yes	characteristic
289	#21049	D₄	1	1	yes	characteristic
290	#21026	D₄	1	1	yes	characteristic
291	#21022	D₄	1	1	yes	characteristic
292	#20899	D₄	1	1	yes	characteristic
293	#20839	D₄	1	1	yes	characteristic
294	#20802	C₂³	1	1	yes	characteristic
295	#20799	C₂³	1	1	yes	characteristic
296	C₂×#1833	C₂³	1	1	yes	characteristic
297	#20684	D₄	1	1	yes	characteristic
298	C₂×#1814	C₂³	1	1	yes	characteristic
299	C₂×#1814	C₂³	1	1	yes	characteristic
300	C₂×#1810	C₂³	1	1	yes	characteristic
301	C₂×#1810	C₂³	1	1	yes	characteristic
302	#20662	C₂³	1	1	yes	characteristic
303	#20658	C₂³	1	1	yes	characteristic
304	C₂×#1807	C₂³	1	1	yes	characteristic
305	#20460	C₂³	1	1	yes	characteristic
306	C₂×#1773	C₂³	1	1	yes	characteristic
307	#20438	C₂³	1	1	yes	characteristic
308	#20436	C₂³	1	1	yes	characteristic
309	#20385	C₂³	1	1	yes	characteristic
310	#20384	C₂³	1	1	yes	characteristic
311	C₂×#1752	C₂³	1	1	yes	characteristic
312	#12750	D₄	1	8	yes	complemented
313	C₂×#1389	C₂³	1	1	yes	characteristic
314	C₂×#1389	C₂³	1	1	yes	characteristic
315	C₂×#1389	C₂³	1	1	yes	characteristic
316	C₂×#1389	C₂³	1	1	yes	characteristic
317	#12569	C₂³	1	1	yes	characteristic
318	#12569	C₂³	1	1	yes	characteristic
319	#12567	C₂³	1	1	yes	characteristic
320	#12567	C₂³	1	1	yes	characteristic
321	C₂×#1386	C₂³	1	1	yes	characteristic
322	C₂×#1386	C₂³	1	1	yes	characteristic
323	C₂×#1386	C₂³	1	1	yes	characteristic
324	C₂×#1386	C₂³	1	1	yes	characteristic
325	C₂×#1384	C₂³	1	1	yes	characteristic
326	C₂×#1384	C₂³	1	1	yes	characteristic
327	C₂×#1384	C₂³	1	1	yes	characteristic
328	C₂×#1384	C₂³	1	1	yes	characteristic
329	#12563	C₂³	1	1	yes	characteristic
330	#12563	C₂³	1	1	yes	characteristic
331	C₂×#1383	C₂³	1	1	yes	characteristic
332	C₂×#1383	C₂³	1	1	yes	characteristic
333	C₂×#1383	C₂³	1	1	yes	characteristic
334	C₂×#1383	C₂³	1	1	yes	characteristic
335	C₂×#1383	C₂³	1	1	yes	characteristic
336	C₂×#1383	C₂³	1	1	yes	characteristic
337	#12561	C₂³	1	1	yes	characteristic
338	#12561	C₂³	1	1	yes	characteristic
339	C₂×#1378	C₂³	1	1	yes	characteristic
340	C₂×#1378	C₂³	1	1	yes	characteristic
341	C₂×#1378	C₂³	1	1	yes	characteristic
342	C₂×#1378	C₂³	1	1	yes	characteristic
343	#12551	C₂³	1	1	yes	characteristic
344	#12551	C₂³	1	1	yes	characteristic
345	#12549	C₂³	1	1	yes	characteristic
346	#12547	C₂³	1	1	yes	characteristic
347	C₂×#1375	C₂³	1	1	yes	characteristic
348	C₂×#1375	C₂³	1	1	yes	characteristic
349	C₂×#1375	C₂³	1	1	yes	characteristic
350	C₂×#1375	C₂³	1	1	yes	characteristic
351	C₂×#1375	C₂³	1	1	yes	characteristic
352	C₂×#1375	C₂³	1	1	yes	characteristic
353	#10873	C₂³	1	1	yes	characteristic
354	#10868	C₂³	1	1	yes	characteristic
355	#10867	C₂³	1	1	yes	characteristic
356	#10866	C₂³	1	1	yes	characteristic
357	#10860	C₂³	1	1	yes	characteristic
358	#10860	C₂³	1	1	yes	characteristic
359	C₂×#576	C₂×D₄	1	4	yes	—
360	C₂²×#135	C₂⁴	1	1	yes	characteristic
361	C₂²×#135	C₂⁴	1	1	yes	characteristic
362	C₂²×#135	C₂⁴	1	1	yes	characteristic
363	C₂³×D₈	C₂⁴	1	1	yes	characteristic
364	C₂³×D₈	C₂⁴	1	1	yes	characteristic
365	C₂²×#131	C₂×D₄	1	1	yes	characteristic
366	C₂²×#131	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₈	C₂⁴	1	1	yes	characteristic
368	C₂×#525	C₂×D₄	1	1	yes	characteristic
369	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
370	C₂²×SD₃₂	#41	1	2	yes	—
371	C₂²×SD₃₂	#41	1	2	yes	—
372	C₂²×D₁₆	#41	1	2	yes	—
373	C₂²×D₁₆	#41	1	2	yes	—
374	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
375	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
376	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
377	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
378	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
379	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
380	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
381	C₂²×M₃₂	C₂⁴	1	1	yes	characteristic
382	C₂×#495	C₂×D₄	1	2	yes	—
383	C₂×#493	C₂×D₄	1	2	yes	—
384	C₂×#442	C₂×D₄	1	1	yes	characteristic
385	C₂×#442	C₂×D₄	1	2	yes	—
386	C₂×#442	C₂×D₄	1	2	yes	—
387	C₂×#442	C₂×D₄	1	2	yes	—
388	C₂×#442	C₂×D₄	1	2	yes	—
389	C₂×#442	C₂×D₄	1	1	yes	characteristic
390	C₂×#441	C₂×D₄	1	1	yes	characteristic
391	C₂×#441	C₂×D₄	1	1	yes	characteristic
392	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
393	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
394	C₂²×#108	C₂⁴	1	1	yes	characteristic
395	C₂²×#108	C₂⁴	1	1	yes	characteristic
396	C₂²×#108	C₂⁴	1	1	yes	characteristic
397	C₂²×#108	C₂⁴	1	1	yes	characteristic
398	C₂×#427	C₂⁴	1	1	yes	characteristic
399	C₂×#427	C₂⁴	1	1	yes	characteristic
400	C₂×#427	C₂⁴	1	1	yes	characteristic
401	C₂×#427	C₂⁴	1	1	yes	characteristic
402	C₂×#427	C₂⁴	1	1	yes	characteristic
403	C₂²×#106	C₂⁴	1	1	yes	characteristic
404	C₂²×#106	C₂⁴	1	1	yes	characteristic
405	C₂×#424	C₂×D₄	1	1	yes	characteristic
406	C₂×#424	C₂×D₄	1	1	yes	characteristic
407	C₂×#423	C₂×D₄	1	1	yes	characteristic
408	C₂×#408	C₂×D₄	1	1	yes	characteristic
409	C₂×#408	C₂×D₄	1	1	yes	characteristic
410	C₂×#407	C₂×D₄	1	1	yes	characteristic
411	C₂×#407	C₂×D₄	1	1	yes	characteristic
412	C₂²×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
413	C₂×#405	C₂×D₄	1	1	yes	characteristic
414	C₂×#405	C₂⁴	1	1	yes	characteristic
415	C₂×#405	C₂⁴	1	1	yes	characteristic
416	C₂×#405	C₂⁴	1	1	yes	characteristic
417	C₂×C₄×M₁₆	C₂×D₄	1	1	yes	characteristic
418	C₂²×#97	C₂⁴	1	1	yes	characteristic
419	C₂²×#97	C₂⁴	1	1	yes	characteristic
420	#2297	C₂×D₄	1	1	yes	characteristic
421	#2296	C₂×D₄	1	1	yes	characteristic
422	#2285	C₂×D₄	1	1	yes	characteristic
423	#2280	C₂×D₄	1	1	yes	characteristic
424	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
425	#2148	C₂×D₄	1	4	yes	—
426	C₂×#361	C₂×D₄	1	4	yes	—
427	C₂×#361	#41	1	4	yes	—
428	#2145	C₂×D₄	1	4	yes	—
429	#2140	C₂×D₄	1	4	yes	—
430	#2117	C₂×D₄	1	4	yes	—
431	#1972	C₂×D₄	1	2	yes	—
432	#1972	C₂×D₄	1	2	yes	—
433	#1972	C₂×D₄	1	2	yes	—
434	#1972	C₂×D₄	1	2	yes	—
435	#1972	C₂×D₄	1	2	yes	—
436	#1971	C₂×D₄	1	2	yes	—
437	#1943	C₂×D₄	1	2	yes	—
438	#1943	C₂×D₄	1	2	yes	—
439	#1943	C₂×D₄	1	1	yes	characteristic
440	#1943	C₂×D₄	1	1	yes	characteristic
441	#1943	C₂×D₄	1	1	yes	characteristic
442	#1943	C₂×D₄	1	1	yes	characteristic
443	#1941	C₂×D₄	1	2	yes	—
444	#1941	C₂×D₄	1	2	yes	—
445	#1846	C₂×D₄	1	2	yes	—
446	#1844	C₂×D₄	1	2	yes	—
447	#1814	C₂×D₄	1	4	yes	—
448	#1771	C₂×D₄	1	2	yes	—
449	#1771	C₂×D₄	1	2	yes	—
450	#1770	C₂×D₄	1	2	yes	—
451	#1770	C₂×D₄	1	2	yes	—
452	#1729	C₂×D₄	1	1	yes	characteristic
453	#1729	C₂×D₄	1	1	yes	characteristic
454	#1729	C₂×D₄	1	1	yes	characteristic
455	#1729	C₂×D₄	1	1	yes	characteristic
456	#1729	C₂×D₄	1	1	yes	characteristic
457	#1729	C₂×D₄	1	1	yes	characteristic
458	#1728	C₂×D₄	1	1	yes	characteristic
459	#1728	C₂×D₄	1	1	yes	characteristic
460	C₂×#336	C₂×D₄	1	1	yes	characteristic
461	C₂×#336	C₂×D₄	1	1	yes	characteristic
462	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
463	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
464	C₂×#135	C₂²×D₄	1	2	yes	—
465	C₂×#135	H(5,𝔽₂)	1	2	yes	—
466	C₂²×Q₁₆	C₂²×D₄	1	1	yes	characteristic
467	C₂²×Q₁₆	C₂×#41	1	1	yes	characteristic
468	C₂²×Q₁₆	C₂×#41	1	1	yes	characteristic
469	C₂²×D₈	C₂²×D₄	1	2	yes	—
470	C₂²×D₈	C₂²×D₄	1	1	yes	characteristic
471	C₂²×D₈	C₂²×D₄	1	2	yes	—
472	C₂²×D₈	C₂²×D₄	1	2	yes	—
473	C₂²×D₈	C₂×#41	1	1	yes	characteristic
474	C₂²×D₈	C₂×#41	1	1	yes	characteristic
475	C₂²×D₈	C₂×#41	1	2	yes	—
476	C₂²×D₈	C₂×#41	1	2	yes	—
477	C₂²×D₈	C₂×#41	1	2	yes	—
478	C₂²×D₈	H(5,𝔽₂)	1	2	yes	—
479	C₂²×D₈	H(5,𝔽₂)	1	2	yes	—
480	C₂×#131	C₂²×D₄	1	2	yes	—
481	C₂×#131	H(5,𝔽₂)	1	2	yes	—
482	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
483	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
484	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
485	C₂²×M₁₆	C₂²×D₄	1	1	yes	characteristic
486	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
487	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
488	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
489	C₂³×C₈	C₂⁵	1	1	yes	characteristic
490	C₂×#117	C₂²×D₄	1	1	yes	characteristic
491	C₂×#117	C₂²×D₄	1	1	yes	characteristic
492	C₂×#117	C₂²×D₄	1	1	yes	characteristic
493	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
494	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
495	C₂×M₃₂	C₂²×D₄	1	2	yes	—
496	C₂×M₃₂	C₂²×D₄	1	2	yes	—
497	C₂×M₃₂	C₂×#41	1	2	yes	—
498	C₂²×C₁₆	C₂×#41	1	2	yes	—
499	C₂²×C₁₆	C₂×#41	1	2	yes	—
500	C₂×#108	C₂²×D₄	1	2	yes	—
501	C₂×#108	C₂×#41	1	2	yes	—
502	#427	C₂²×D₄	1	2	yes	—
503	C₂×#107	C₂²×D₄	1	1	yes	characteristic
504	C₂×#107	C₂²×D₄	1	1	yes	characteristic
505	C₂×#106	C₂²×D₄	1	2	yes	—
506	C₂×#106	C₂²×D₄	1	2	yes	—
507	C₂×#106	C₂²×D₄	1	1	yes	characteristic
508	C₂×#106	C₂²×D₄	1	1	yes	characteristic
509	C₂×#106	C₂²×D₄	1	1	yes	characteristic
510	C₂×#106	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄⋊C₈	#120	1	2	yes	—
512	C₂×C₄⋊C₈	#120	1	2	yes	—
513	C₂×#97	C₂²×D₄	1	1	yes	characteristic
514	C₂×#97	C₂²×D₄	1	1	yes	characteristic
515	C₂×#97	C₂²×D₄	1	1	yes	characteristic
516	C₂×#97	C₂²×D₄	1	1	yes	characteristic
517	C₂×#97	C₂²×D₄	1	2	yes	—
518	C₂×#97	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₈	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₈	C₂²×D₄	1	2	yes	—
521	#391	AGL(1,ℤ/8)	1	1	yes	characteristic
522	#391	AGL(1,ℤ/8)	1	1	yes	characteristic
523	#390	AGL(1,ℤ/8)	1	1	yes	characteristic
524	#390	AGL(1,ℤ/8)	1	1	yes	characteristic
525	#381	AGL(1,ℤ/8)	1	2	yes	—
526	#379	AGL(1,ℤ/8)	1	2	yes	—
527	C₄×C₄⋊C₄	#120	1	2	yes	—
528	C₄×C₄⋊C₄	#120	1	2	yes	—
529	#336	#120	1	2	yes	—
530	#336	#120	1	2	yes	—
531	#336	#120	1	2	yes	—
532	#336	#120	1	2	yes	—
533	C₂⁵	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
534	C₂×#41	D₄²	1	2	yes	—
535	C₂×#41	#576	1	2	yes	—
536	C₂²×Q₈	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
537	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
538	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
539	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
540	C₂×Q₁₆	D₄²	1	2	yes	—
541	C₂×D₈	#525	1	4	yes	—
542	C₂×D₈	#525	1	4	yes	—
543	C₂×D₈	#538	1	4	yes	—
544	C₂×D₈	D₄²	1	2	yes	—
545	C₂×D₈	D₄²	1	4	yes	—
546	C₂×D₈	#546	1	4	yes	—
547	C₂×D₈	#550	1	4	yes	—
548	C₂×D₈	#553	1	4	yes	—
549	C₂×M₁₆	D₄²	1	2	yes	—
550	C₂²×C₈	C₂×#120	1	1	yes	characteristic
551	C₂²×C₈	C₂×#120	1	1	yes	characteristic
552	C₂²×C₈	C₂×#120	1	2	yes	—
553	C₂²×C₈	C₂×#120	1	2	yes	—
554	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
555	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
556	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
557	C₂²×C₈	C₂²×#41	1	1	yes	characteristic
558	C₂²×C₈	C₂²×#41	1	1	yes	characteristic
559	C₂²×C₈	C₂²×#41	1	1	yes	characteristic
560	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
561	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
562	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
563	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
564	C₂²×C₈	#585	1	1	yes	characteristic
565	C₂²×C₈	#585	1	1	yes	characteristic
566	C₂²×C₈	#585	1	1	yes	characteristic
567	C₂²×C₈	#585	1	1	yes	characteristic
568	C₂×C₄⋊C₄	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
569	C₂×C₄⋊C₄	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
570	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
571	C₂×C₂²⋊C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
572	C₂×C₄²	C₂×#120	1	1	yes	characteristic
573	C₂×C₄²	C₂×#120	1	2	yes	—
574	C₂×C₄²	C₂×#120	1	1	yes	characteristic
575	C₂×C₄²	C₂×#120	1	2	yes	—
576	C₂×C₄²	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
577	C₂×C₄²	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
578	C₂⁴	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
579	C₂×Q₈	#3274	1	2	yes	—
580	C₂×D₄	#3274	1	2	yes	—
581	C₂²×C₄	#3003	1	2	yes	—
582	C₂²×C₄	#3003	1	2	yes	—
583	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
584	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
585	C₂²×C₄	D₄×#41	1	1	yes	characteristic
586	C₂²×C₄	D₄×#41	1	1	yes	characteristic
587	C₂²×C₄	D₄×#41	1	1	yes	characteristic
588	C₂²×C₄	#3484	1	1	yes	characteristic
589	C₂²×C₄	#3488	1	1	yes	characteristic
590	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
591	C₂²×C₄	C₂×#576	1	1	yes	characteristic
592	C₂²×C₄	#3584	1	1	yes	characteristic
593	C₂²×C₄	#3585	1	1	yes	characteristic
594	C₂²×C₄	#3585	1	1	yes	characteristic
595	C₂²×C₄	#3585	1	1	yes	characteristic
596	C₂²×C₄	#3585	1	1	yes	characteristic
597	D₈	#2456	1	8	yes	—
598	C₂×C₈	C₂×#525	1	1	yes	characteristic
599	C₂×C₈	C₂×#525	1	1	yes	characteristic
600	C₂×C₈	#3449	1	1	yes	characteristic
601	C₂×C₈	C₂×#538	1	1	yes	characteristic
602	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
603	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
604	C₂×C₈	C₂×#546	1	1	yes	characteristic
605	C₂×C₈	C₂×#550	1	1	yes	characteristic
606	C₂×C₈	D₄×#41	1	1	yes	characteristic
607	C₂×C₈	D₄×#41	1	1	yes	characteristic
608	C₂×C₈	D₄×#41	1	1	yes	characteristic
609	C₂×C₈	C₂×#553	1	1	yes	characteristic
610	C₂×C₈	#3484	1	1	yes	characteristic
611	C₂×C₈	#3484	1	1	yes	characteristic
612	C₂×C₈	#3485	1	1	yes	characteristic
613	C₂×C₈	#3485	1	1	yes	characteristic
614	C₂×C₈	#3487	1	1	yes	characteristic
615	C₂×C₈	#3488	1	1	yes	characteristic
616	C₂×C₈	#3513	1	1	yes	characteristic
617	C₂×C₈	#3513	1	1	yes	characteristic
618	C₂×C₈	#3513	1	1	yes	characteristic
619	C₂×C₈	#3513	1	1	yes	characteristic
620	C₂×C₈	#3513	1	1	yes	characteristic
621	C₂×C₈	#3513	1	1	yes	characteristic
622	C₂×C₈	#3533	1	1	yes	characteristic
623	C₂×C₈	#3533	1	1	yes	characteristic
624	C₂×C₈	#3534	1	1	yes	characteristic
625	C₂×C₈	#3534	1	1	yes	characteristic
626	C₂³	C₂×#3003	1	1	yes	characteristic
627	C₂³	D₄×AGL(1,ℤ/8)	1	1	yes	characteristic
628	C₂³	#61439	1	1	yes	characteristic
629	C₂³	#61451	1	1	yes	characteristic
630	C₂³	#61451	1	1	yes	characteristic
631	C₂³	#61591	1	1	yes	characteristic
632	C₂³	#61961	1	1	yes	characteristic
633	C₂×C₄	#34736	1	1	yes	characteristic
634	C₂×C₄	D₄×#120	1	1	yes	characteristic
635	C₂×C₄	#36099	1	1	yes	characteristic
636	C₂×C₄	#36429	1	1	yes	characteristic
637	C₂×C₄	#37713	1	1	yes	characteristic
638	C₂×C₄	#58994	1	1	yes	characteristic
639	C₂×C₄	#59190	1	1	yes	characteristic
640	C₂×C₄	#60369	1	1	yes	characteristic
641	C₂×C₄	#60372	1	1	yes	characteristic
642	C₂×C₄	#60376	1	1	yes	characteristic
643	C₂×C₄	C₂×#3274	1	1	yes	characteristic
644	C₂×C₄	#61058	1	1	yes	characteristic
645	C₂×C₄	#61074	1	1	yes	characteristic
646	C₂×C₄	#61451	1	1	yes	characteristic
647	C₂×C₄	#61451	1	1	yes	characteristic
648	C₂×C₄	#61451	1	1	yes	characteristic
649	C₂×C₄	#61489	1	1	yes	characteristic
650	C₂×C₄	#61505	1	1	yes	characteristic
651	C₂×C₄	#61507	1	1	yes	characteristic
652	C₂×C₄	#61519	1	1	yes	characteristic
653	C₂×C₄	#61519	1	1	yes	characteristic
654	C₂×C₄	#61548	1	1	yes	characteristic
655	C₂×C₄	#61582	1	1	yes	characteristic
656	C₂×C₄	#61614	1	1	yes	characteristic
657	C₂×C₄	#61648	1	1	yes	characteristic
658	C₂×C₄	#61989	1	1	yes	characteristic
659	C₂×C₄	#62007	1	1	yes	characteristic
660	C₂×C₄	#62083	1	1	yes	characteristic
661	C₈	C₂×#2456	1	1	yes	characteristic
662	C₈	#35356	1	1	yes	characteristic
663	C₈	#36099	1	1	yes	characteristic
664	C₈	#37655	1	1	yes	characteristic
665	C₈	#37713	1	1	yes	characteristic
666	C₈	#39128	1	1	yes	characteristic
667	C₈	#58994	1	1	yes	characteristic
668	C₈	#59190	1	1	yes	characteristic
669	C₂²	#6453969	1	1	yes	characteristic
670	C₂²	#6573582	1	1	yes	characteristic
671	C₂²	#6577404	1	1	yes	characteristic
672	C₂²	#6617504	1	1	yes	characteristic
673	C₂²	#6695622	1	1	yes	characteristic
674	C₂²	#7516958	1	1	yes	characteristic
675	C₂²	#7589397	1	1	yes	characteristic
676	C₄	#647826	1	1	yes	characteristic
677	C₄	#6454097	1	1	yes	characteristic
678	C₄	#6573784	1	1	yes	characteristic
679	C₄	#6577278	1	1	yes	characteristic
680	C₄	#6617649	1	1	yes	characteristic
681	C₄	#6695558	1	1	yes	characteristic
682	C₄	#7517063	1	1	yes	characteristic
683	C₄	#7589657	1	1	yes	characteristic
684	C₂	#72213937	1	1	yes	characteristic
685	C₂	#72249714	1	1	yes	characteristic
686	C₂	#72249759	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#6453969
commutator, Frattini, cosocle	C₂³×C₈	C₂⁵
LCS	G ▷ C₂³×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #6373016 ◁ G
LECS	G ▷ C₂³×C₈ ▷ C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72322230	C₂	semidirect
2. #72322223	C₂	semidirect
3. #72322220	C₂	semidirect
4. #72322216	C₂	semidirect
5. #72322108	C₂	semidirect
6. #72322090	C₂	semidirect
7. #72322044	C₂	semidirect
8. #72321837	C₂	semidirect
9. #72321245	C₂	semidirect
10. #72321084	C₂	semidirect
11. #72320830	C₂	semidirect
12. #72320747	C₂	semidirect
13. #72320676	C₂	semidirect
14. #72320655	C₂	semidirect
15. #72320515	C₂	semidirect
16. #72320120	C₂	semidirect
17. #72309659	C₂	semidirect
18. #72250741	C₂	semidirect
19. #72250503	C₂	semidirect
20. #72250218	C₂	semidirect
21. #72250205	C₂	semidirect
22. #72250199	C₂	semidirect
23. #72250169	C₂	semidirect
24. #72249982	C₂	semidirect
25. #72249979	C₂	semidirect
26. #72249946	C₂	semidirect
27. #72249938	C₂	semidirect
28. #72249916	C₂	semidirect
29. C₂×#500743	C₂	semidirect
30. C₂×#495739	C₂	semidirect
31. #72231505	C₂	semidirect
41. C₂×#33468	C₂²	semidirect
51. #6382746	C₂²	semidirect
58. C₂×#21559	C₂²	semidirect
59. #499305	C₂²	semidirect
62. #498869	C₂²	semidirect
63. #498867	C₂²	semidirect
69. C₂×#13249	C₂²	semidirect
71. #495135	C₂²	semidirect
73. #495070	C₂²	semidirect
74. #494924	C₂²	semidirect
75. #494923	C₂²	semidirect
76. #494880	C₂²	semidirect
77. #494879	C₂²	semidirect
78. #494777	C₂²	semidirect
79. C₂×#13040	C₂²	semidirect
81. #494559	C₂²	semidirect
87. C₂×#13030	C₂²	semidirect
88. C₂×#13030	C₂²	semidirect
89. C₂×#13005	C₂²	semidirect
90. C₂×#13005	C₂²	semidirect
92. #494335	C₂²	semidirect
93. #494334	C₂²	semidirect
95. #494325	C₂²	semidirect
96. C₂×#12949	C₂²	semidirect
97. C₂×#12934	C₂²	semidirect
103. #493129	C₂²	semidirect
104. C₂×#12649	C₂²	semidirect
107. C₂×#12609	C₂²	semidirect
108. #416373	C₂²	semidirect
109. #411841	C₂²	semidirect
110. #411837	C₂²	semidirect
112. #393095	C₂²	semidirect
113. #368420	C₂²	semidirect
114. #367062	C₂²	semidirect
115. #366453	C₂²	semidirect
116. #366445	C₂²	semidirect
117. #365015	C₂²	semidirect
118. #360969	C₂²	semidirect
119. #149375	C₂²	semidirect
120. #149338	C₂²	semidirect
121. #149236	C₂²	semidirect
122. #149191	C₂²	semidirect
123. #148869	C₂²	semidirect
124. #148783	C₂²	semidirect
125. #148744	C₂²	semidirect
126. #148741	C₂²	semidirect
127. #148722	C₂²	semidirect
128. #148682	C₂²	semidirect
129. #148635	C₂²	semidirect
130. #148631	C₂²	semidirect
131. #148570	C₂²	semidirect
132. #148566	C₂²	semidirect
133. #148373	C₂²	semidirect
134. #148294	C₂²	semidirect
135. #148284	C₂²	semidirect
136. #148282	C₂²	semidirect
137. #148282	C₂²	semidirect
138. #148191	C₂²	semidirect
139. #148190	C₂²	semidirect
140. #148164	C₂²	semidirect
141. #148125	C₂²	semidirect
142. #148114	C₂²	semidirect
143. #148114	C₂²	semidirect
144. #148105	C₂²	semidirect
145. #148060	C₂²	semidirect
146. #148060	C₂²	semidirect
147. #147961	C₂²	semidirect
148. #147957	C₂²	semidirect
149. #147953	C₂²	semidirect
150. #147953	C₂²	semidirect
151. #147947	C₂²	semidirect
152. #147947	C₂²	semidirect
153. #147938	C₂²	semidirect
154. #147938	C₂²	semidirect
156. #147684	C₂²	semidirect
157. #147684	C₂²	semidirect
160. #147642	C₂²	semidirect
161. #147642	C₂²	semidirect
162. #147621	C₂²	semidirect
163. #147621	C₂²	semidirect
165. #147465	C₂²	semidirect
166. #147427	C₂²	semidirect
167. #147410	C₂²	semidirect
168. #147408	C₂²	semidirect
169. #147372	C₂²	semidirect
170. #147372	C₂²	semidirect
171. #147362	C₂²	semidirect
172. #147360	C₂²	semidirect
173. #147243	C₂²	semidirect
174. #147199	C₂²	semidirect
175. #147195	C₂²	semidirect
176. #147130	C₂²	semidirect
177. #146802	C₂²	semidirect
182. #146761	C₂²	semidirect
185. #146551	C₂²	semidirect
186. #146385	C₂²	semidirect
262. #26264	D₄	semidirect
263. #26264	D₄	semidirect
264. #26263	D₄	semidirect
265. #26263	D₄	semidirect
266. #22672	D₄	semidirect
267. #22672	D₄	semidirect
268. #22670	D₄	semidirect
269. #22670	D₄	semidirect
312. #12750	D₄	semidirect

Maximal subgroups

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

subgroup	index
#72322230	2
#72322223	2
#72322220	2
#72322216	2
#72322108	2
#72322090	2
#72322044	2
#72321837	2
#72321245	2
#72321084	2
#72320830	2
#72320747	2
#72320676	2
#72320655	2
#72320515	2
#72320120	2
#72309659	2
#72250741	2
#72250503	2
#72250218	2
#72250205	2
#72250199	2
#72250169	2
#72249982	2
#72249979	2
#72249946	2
#72249938	2
#72249916	2
C₂×#500743	2
C₂×#495739	2
#72231505	2