Subgroups — #72314352

Order 2048.

At least 6189 conjugacy classes of subgroups; only the 5408 normal subgroups are shown.

The subgroup lattice has 990 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72314349	C₂	1	1	yes	maximal, characteristic, complemented
2	#72314347	C₂	1	2	yes	maximal, complemented
3	#72314344	C₂	1	4	yes	maximal, complemented
4	#72314343	C₂	1	4	yes	maximal, complemented
5	#72314342	C₂	1	4	yes	maximal, complemented
6	#72314341	C₂	1	4	yes	maximal, complemented
7	#72314339	C₂	1	4	yes	maximal, complemented
8	#72314338	C₂	1	4	yes	maximal, complemented
9	#72314332	C₂	1	1	yes	maximal, characteristic, complemented
10	#72314328	C₂	1	1	yes	maximal, characteristic, complemented
11	#72314318	C₂	1	2	yes	maximal, complemented
12	#72314317	C₂	1	2	yes	maximal, complemented
13	#72314312	C₂	1	4	yes	maximal, complemented
14	#72314311	C₂	1	8	yes	maximal, complemented
15	C₂×#6512624	C₂	1	2	yes	maximal, complemented
16	C₂×#7671479	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#613649	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×#3109	C₂	1	1	yes	maximal, characteristic, complemented
19	#72268484	C₂	1	4	yes	maximal, complemented
20	C₂×#6629283	C₂	1	1	yes	maximal, characteristic, complemented
21	#72237137	C₂	1	4	yes	maximal, complemented
22	#72237132	C₂	1	4	yes	maximal, complemented
23	C₂²×#3496	C₂²	1	1	yes	characteristic, complemented
24	C₂³×#532	C₂²	1	1	yes	characteristic
25	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#3109	C₂²	1	2	yes	—
27	C₂²×#3109	C₂²	1	4	yes	complemented
28	C₂²×#3109	C₂²	1	2	yes	complemented
29	C₂²×#3109	C₂²	1	2	yes	complemented
30	C₂²×#3109	C₂²	1	4	yes	complemented
31	C₂²×#3109	C₂²	1	2	yes	complemented
32	C₂²×#3109	C₂²	1	2	yes	complemented
33	C₂³×#481	C₂²	1	2	yes	complemented
34	C₂³×#476	C₂²	1	2	yes	complemented
35	C₂³×#459	C₂²	1	2	yes	complemented
36	C₂³×#447	C₂²	1	2	yes	complemented
37	C₂³×#442	C₂²	1	4	yes	complemented
38	C₂³×#432	C₂²	1	1	yes	characteristic, complemented
39	C₂×#59035	C₂²	1	2	yes	complemented
40	C₂×#59051	C₂²	1	2	yes	complemented
41	C₂×#59126	C₂²	1	2	yes	complemented
42	C₂×#59125	C₂²	1	2	yes	complemented
43	C₂×#39342	C₂²	1	2	yes	complemented
44	C₂×#39340	C₂²	1	2	yes	complemented
45	C₂×#36624	C₂²	1	1	yes	characteristic
46	C₂×#36123	C₂²	1	4	yes	complemented
47	C₂×#36100	C₂²	1	2	yes	complemented
48	C₂×D₄×#121	C₂²	1	4	yes	—
49	C₂×D₄×#121	C₂²	1	2	yes	complemented
50	C₂×#35166	C₂²	1	1	yes	characteristic, complemented
51	C₂×#35165	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#2535	C₂²	1	2	yes	complemented
53	C₂²×#2408	C₂²	1	2	yes	complemented
54	C₂×#34206	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₄×#121	C₂²	1	1	yes	characteristic
56	C₂×#33004	C₂²	1	4	yes	complemented
57	C₂×#32979	C₂²	1	2	yes	complemented
58	C₂×#32956	C₂²	1	2	yes	complemented
59	C₂×#32956	C₂²	1	2	yes	complemented
60	C₂×#32902	C₂²	1	2	yes	complemented
61	C₂×#32902	C₂²	1	2	yes	complemented
62	C₂×#32878	C₂²	1	2	yes	complemented
63	C₂×#24128	C₂²	1	8	yes	complemented
64	C₂×#24128	C₂²	1	8	yes	complemented
65	C₂×#24248	C₂²	1	8	yes	complemented
66	C₂×#24248	C₂²	1	8	yes	complemented
67	C₂×#24005	C₂²	1	8	yes	complemented
68	C₂×#23848	C₂²	1	8	yes	complemented
69	C₂×#23918	C₂²	1	8	yes	complemented
70	C₂×#21865	C₂²	1	2	yes	complemented
71	C₂×#21865	C₂²	1	2	yes	complemented
72	C₂×#21865	C₂²	1	2	yes	complemented
73	C₂×#21790	C₂²	1	2	yes	complemented
74	C₂×#21452	C₂²	1	4	yes	complemented
75	C₂×#21452	C₂²	1	4	yes	complemented
76	C₂×#20738	C₂²	1	2	yes	complemented
77	C₂×#20715	C₂²	1	1	yes	characteristic, complemented
78	#613649	C₂²	1	4	yes	complemented
79	#613649	C₂²	1	4	yes	complemented
80	#613649	C₂²	1	4	yes	complemented
81	#613649	C₂²	1	4	yes	complemented
82	C₂×#14682	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13970	C₂²	1	4	yes	complemented
84	C₂×#13941	C₂²	1	2	yes	complemented
85	C₂×#13872	C₂²	1	2	yes	complemented
86	#449820	C₂²	1	16	yes	complemented
87	#449660	C₂²	1	8	yes	complemented
88	#449570	C₂²	1	8	yes	complemented
89	#449464	C₂²	1	8	yes	complemented
90	#418626	C₂²	1	16	yes	complemented
91	#418286	C₂²	1	16	yes	complemented
92	#418142	C₂²	1	8	yes	complemented
93	#418052	C₂²	1	8	yes	complemented
94	#417826	C₂²	1	8	yes	complemented
95	#417631	C₂²	1	16	yes	complemented
96	#417514	C₂²	1	8	yes	complemented
97	#417442	C₂²	1	8	yes	complemented
98	#415801	C₂²	1	8	yes	complemented
99	#414662	C₂²	1	8	yes	complemented
100	#414662	C₂²	1	8	yes	complemented
101	#411901	C₂²	1	8	yes	complemented
102	#411676	C₂²	1	8	yes	complemented
103	#411676	C₂²	1	8	yes	complemented
104	#411575	C₂²	1	8	yes	complemented
105	#411575	C₂²	1	8	yes	complemented
106	#406161	C₂²	1	8	yes	complemented
107	#405169	C₂²	1	8	yes	complemented
108	#395208	C₂²	1	16	yes	complemented
109	#394925	C₂²	1	16	yes	complemented
110	#394763	C₂²	1	8	yes	complemented
111	#394564	C₂²	1	8	yes	complemented
112	#394213	C₂²	1	8	yes	complemented
113	#394135	C₂²	1	8	yes	complemented
114	#393946	C₂²	1	8	yes	complemented
115	#393940	C₂²	1	8	yes	complemented
116	#393326	C₂²	1	2	yes	complemented
117	#392963	C₂²	1	2	yes	complemented
118	#392954	C₂²	1	4	yes	complemented
119	#392160	C₂²	1	4	yes	complemented
120	#382487	C₂²	1	4	yes	complemented
121	#380054	C₂²	1	2	yes	complemented
122	#379970	C₂²	1	2	yes	complemented
123	#379920	C₂²	1	4	yes	complemented
124	#375806	C₂²	1	16	yes	complemented
125	#374316	C₂²	1	4	yes	complemented
126	#374228	C₂²	1	4	yes	complemented
127	#374221	C₂²	1	4	yes	complemented
128	#374064	C₂²	1	4	yes	complemented
129	#368058	C₂²	1	8	yes	complemented
130	#364895	C₂²	1	8	yes	complemented
131	#364775	C₂²	1	8	yes	complemented
132	#364714	C₂²	1	8	yes	complemented
133	#364572	C₂²	1	16	yes	complemented
134	#364486	C₂²	1	8	yes	complemented
135	#364445	C₂²	1	8	yes	complemented
136	#363868	C₂²	1	4	yes	complemented
137	#363162	C₂²	1	2	yes	complemented
138	#363162	C₂²	1	2	yes	complemented
139	#362708	C₂²	1	2	yes	complemented
140	#361581	C₂²	1	2	yes	complemented
141	#360169	C₂²	1	4	yes	complemented
142	#360145	C₂²	1	8	yes	complemented
143	#360078	C₂²	1	4	yes	complemented
144	#360051	C₂²	1	8	yes	complemented
145	#359691	C₂²	1	4	yes	complemented
146	#359621	C₂²	1	8	yes	complemented
147	#359447	C₂²	1	4	yes	complemented
148	#359422	C₂²	1	4	yes	complemented
149	#355986	C₂²	1	2	yes	complemented
150	#355939	C₂²	1	2	yes	complemented
151	C₂⁵×D₄	C₂³	1	1	yes	characteristic
152	C₂⁴×D₈	C₂³	1	4	yes	—
153	C₂²×#547	C₂³	1	2	yes	complemented
154	C₂²×#547	C₂³	1	2	yes	complemented
155	C₂²×D₄²	C₂³	1	4	yes	—
156	C₂²×D₄²	C₂³	1	2	yes	complemented
157	C₂²×D₄²	C₂³	1	2	yes	complemented
158	C₂²×#532	D₄	1	16	yes	complemented
159	C₂²×#532	C₂³	1	1	yes	characteristic
160	C₂²×#532	C₂³	1	1	yes	characteristic
161	C₂²×#532	C₂³	1	2	yes	—
162	C₂²×#532	C₂³	1	2	yes	—
163	C₂²×#532	C₂³	1	1	yes	characteristic
164	C₂²×#532	C₂³	1	1	yes	characteristic
165	C₂²×#532	C₂³	1	1	yes	characteristic
166	C₂³×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₂³×#127	C₂³	1	1	yes	characteristic
168	C₂³×#121	D₄	1	1	yes	characteristic
169	C₂³×#121	C₂³	1	4	yes	—
170	C₂³×#121	C₂³	1	2	yes	—
171	C₂³×#121	C₂³	1	4	yes	—
172	C₂³×C₄×D₄	C₂³	1	2	yes	—
173	C₂³×C₄×D₄	C₂³	1	2	yes	—
174	C₂³×C₄×D₄	C₂³	1	2	yes	—
175	C₂³×C₄×D₄	C₂³	1	2	yes	—
176	C₂³×C₄×D₄	C₂³	1	2	yes	—
177	C₂³×C₄×D₄	C₂³	1	2	yes	—
178	C₂³×C₄×D₄	C₂³	1	2	yes	—
179	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
180	C₂³×C₄×D₄	C₂³	1	2	yes	—
181	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
183	C₂×#3109	D₄	1	32	yes	complemented
184	C₂²×#481	C₂³	1	4	yes	—
185	C₂²×#481	C₂³	1	4	yes	—
186	C₂²×#481	C₂³	1	4	yes	—
187	C₂²×#481	C₂³	1	4	yes	—
188	C₂²×#481	C₂³	1	4	yes	—
189	C₂²×#476	C₂³	1	8	yes	—
190	C₂²×#476	C₂³	1	4	yes	—
191	C₂²×#476	C₂³	1	4	yes	—
192	C₂²×#476	C₂³	1	4	yes	—
193	C₂²×#459	C₂³	1	4	yes	—
194	C₂²×#459	C₂³	1	8	yes	—
195	C₂²×#459	C₂³	1	4	yes	—
196	C₂²×#459	C₂³	1	4	yes	—
197	C₂²×#447	C₂³	1	4	yes	—
198	C₂²×#447	C₂³	1	4	yes	—
199	C₂²×#447	C₂³	1	4	yes	—
200	C₂²×#447	C₂³	1	4	yes	—
201	C₂²×#447	C₂³	1	4	yes	—
202	C₂²×#447	C₂³	1	4	yes	—
203	C₂²×#447	C₂³	1	4	yes	—
204	C₂²×#447	C₂³	1	16	yes	—
205	C₂²×#442	C₂³	1	8	yes	—
206	C₂²×#442	C₂³	1	8	yes	—
207	C₂²×#442	C₂³	1	8	yes	—
208	C₂²×#442	C₂³	1	8	yes	—
209	C₂²×#442	C₂³	1	8	yes	—
210	C₂²×#432	C₂³	1	2	yes	—
211	C₂²×#432	C₂³	1	2	yes	—
212	C₂²×#432	C₂³	1	2	yes	—
213	C₂²×#432	C₂³	1	2	yes	—
214	C₂²×#432	C₂³	1	2	yes	—
215	C₂³×#106	C₂³	1	4	yes	—
216	C₂³×C₄⋊C₈	C₂³	1	2	yes	—
217	C₂³×#102	C₂³	1	4	yes	—
218	C₂³×#102	C₂³	1	4	yes	—
219	C₂³×C₂²⋊C₈	C₂³	1	2	yes	—
220	C₂³×#97	C₂³	1	2	yes	—
221	#36624	D₄	1	16	yes	complemented
222	C₂×#2857	C₂³	1	1	yes	characteristic
223	C₂×#2857	C₂³	1	1	yes	characteristic
224	C₂×#2856	C₂³	1	4	yes	—
225	C₂×#2856	C₂³	1	1	yes	characteristic
226	C₂×#2856	C₂³	1	1	yes	characteristic
227	C₂×#2854	C₂³	1	2	yes	—
228	C₂×#2847	C₂³	1	4	yes	—
229	C₂×#2847	C₂³	1	2	yes	—
230	C₂×#2547	C₂³	1	2	yes	complemented
231	C₂×#2542	C₂³	1	2	yes	complemented
232	C₂×#2542	C₂³	1	2	yes	complemented
233	C₂×#2541	C₂³	1	4	yes	—
234	C₂×#2541	C₂³	1	2	yes	complemented
235	C₂×#2541	C₂³	1	2	yes	complemented
236	C₂×#2541	C₂³	1	2	yes	complemented
237	C₂×#2537	C₂³	1	4	yes	—
238	C₂×#2537	C₂³	1	2	yes	complemented
239	C₂×#2537	C₂³	1	2	yes	complemented
240	C₂×#2535	C₂³	1	8	yes	—
241	C₂×#2535	C₂³	1	8	yes	—
242	C₂×#2491	C₂³	1	4	yes	complemented
243	C₂×#2428	C₂³	1	4	yes	complemented
244	C₂×#2428	C₂³	1	4	yes	complemented
245	C₂×#2422	C₂³	1	4	yes	complemented
246	C₂×#2440	C₂³	1	4	yes	complemented
247	C₂×#2433	C₂³	1	4	yes	complemented
248	C₂×#2416	C₂³	1	4	yes	—
249	C₂×#2416	C₂³	1	4	yes	—
250	C₂×#2408	C₂³	1	4	yes	—
251	C₂×#2408	C₂³	1	4	yes	—
252	C₂×#2408	C₂³	1	8	yes	—
253	C₂×#2408	C₂³	1	8	yes	—
254	C₂×#2366	C₂³	1	2	yes	complemented
255	C₂×#2365	C₂³	1	2	yes	complemented
256	C₂×#2361	C₂³	1	4	yes	complemented
257	C₂×#2354	C₂³	1	2	yes	complemented
258	C₂×D₄×C₄⋊C₄	C₂³	1	4	yes	—
259	C₂×D₄×C₄⋊C₄	C₂³	1	2	yes	complemented
260	C₂×D₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
261	C₂×C₄×#121	D₄	1	2	yes	—
262	C₂×C₄×#121	D₄	1	2	yes	—
263	C₂×C₄×#121	D₄	1	2	yes	—
264	C₂×C₄×#121	D₄	1	2	yes	—
265	C₂×C₄×#121	C₂³	1	4	yes	—
266	C₂×C₄×#121	C₂³	1	2	yes	—
267	C₂×C₄×#121	C₂³	1	2	yes	—
268	C₂×C₄×#121	C₂³	1	2	yes	—
269	C₂×C₄×#121	C₂³	1	2	yes	—
270	C₂×C₄×#121	C₂³	1	2	yes	—
271	C₂×C₄×#121	C₂³	1	2	yes	—
272	C₂²×#390	D₄	1	1	yes	characteristic
273	C₂²×#390	C₂³	1	4	yes	—
274	C₂²×#389	D₄	1	1	yes	characteristic
275	C₂²×#388	D₄	1	2	yes	—
276	C₂²×#386	D₄	1	2	yes	—
277	C₂×#2285	C₂³	1	1	yes	characteristic
278	C₂²×#382	C₂³	1	2	yes	—
279	C₂²×#380	D₄	1	1	yes	characteristic
280	C₂²×#380	C₂³	1	4	yes	—
281	C₂²×#380	C₂³	1	2	yes	—
282	C₂²×C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×#2034	C₂³	1	16	yes	complemented
285	C₂×#2034	C₂³	1	16	yes	complemented
286	C₂×#2011	C₂³	1	16	yes	—
287	C₂×#1999	C₂³	1	16	yes	—
288	C₂×#1999	C₂³	1	16	yes	—
289	C₂×#1999	C₂³	1	16	yes	—
290	C₂×#1999	C₂³	1	16	yes	—
291	C₂×#1993	C₂³	1	4	yes	complemented
292	C₂×#1993	C₂³	1	4	yes	complemented
293	C₂×#1993	C₂³	1	4	yes	complemented
294	C₂×#1961	C₂³	1	4	yes	complemented
295	C₂×#1961	C₂³	1	4	yes	complemented
296	C₂×#1961	C₂³	1	4	yes	complemented
297	C₂×#1955	C₂³	1	8	yes	complemented
298	C₂×#1955	C₂³	1	8	yes	complemented
299	C₂×#1893	C₂³	1	8	yes	—
300	C₂×#1879	C₂³	1	8	yes	—
301	C₂×#1879	C₂³	1	8	yes	—
302	C₂×#1879	C₂³	1	16	yes	—
303	C₂×#1874	C₂³	1	4	yes	—
304	C₂×#1874	C₂³	1	4	yes	—
305	C₂×#1874	C₂³	1	8	yes	—
306	C₂×#1874	C₂³	1	16	yes	—
307	C₂×#1874	C₂³	1	8	yes	—
308	C₂×#1874	C₂³	1	8	yes	—
309	C₂×#1869	C₂³	1	8	yes	—
310	C₂×#1869	C₂³	1	8	yes	—
311	C₂×#1864	C₂³	1	8	yes	—
312	C₂×#1864	C₂³	1	8	yes	—
313	C₂×#1853	C₂³	1	4	yes	—
314	C₂×#1853	C₂³	1	4	yes	—
315	C₂×#1853	C₂³	1	16	yes	complemented
316	C₂×#1824	C₂³	1	4	yes	—
317	C₂×#1817	C₂³	1	2	yes	—
318	C₂×#1804	C₂³	1	8	yes	complemented
319	C₂×#1804	C₂³	1	8	yes	complemented
320	C₂×#1804	C₂³	1	8	yes	complemented
321	C₂×#1802	C₂³	1	4	yes	—
322	C₂×#1802	C₂³	1	4	yes	—
323	C₂×#1797	C₂³	1	2	yes	—
324	C₂×#1797	C₂³	1	2	yes	—
325	C₂×#1786	C₂³	1	4	yes	—
326	C₂×#1786	C₂³	1	4	yes	—
327	C₂×#1786	C₂³	1	4	yes	—
328	C₂×#1786	C₂³	1	8	yes	—
329	C₂×#1786	C₂³	1	16	yes	complemented
330	C₂×#1779	C₂³	1	2	yes	—
331	C₂×#1779	C₂³	1	8	yes	—
332	C₂×#1762	C₂³	1	8	yes	—
333	C₂×#1749	C₂³	1	2	yes	—
334	C₂×#1749	C₂³	1	2	yes	—
335	#14682	C₂³	1	2	yes	—
336	#14682	C₂³	1	2	yes	—
337	#14682	C₂³	1	2	yes	—
338	#14682	C₂³	1	2	yes	—
339	#13970	C₂³	1	16	yes	—
340	#13970	C₂³	1	16	yes	—
341	#13941	C₂³	1	8	yes	—
342	#13941	C₂³	1	8	yes	—
343	#13872	C₂³	1	8	yes	—
344	#13872	C₂³	1	8	yes	—
345	C₂×C₄⋊#95	C₂³	1	4	yes	—
346	C₂×C₄⋊#95	C₂³	1	2	yes	—
347	#11384	C₂³	1	8	yes	complemented
348	#11323	C₂³	1	16	yes	complemented
349	#11228	C₂³	1	8	yes	complemented
350	#11220	C₂³	1	16	yes	complemented
351	#11199	C₂³	1	8	yes	—
352	#11189	C₂³	1	16	yes	complemented
353	#11121	C₂³	1	16	yes	complemented
354	#11121	C₂³	1	16	yes	complemented
355	#11095	C₂³	1	16	yes	complemented
356	#11095	C₂³	1	16	yes	complemented
357	#11076	C₂³	1	8	yes	complemented
358	#11066	C₂³	1	16	yes	—
359	#11049	C₂³	1	16	yes	—
360	#11042	C₂³	1	16	yes	complemented
361	#11022	C₂³	1	16	yes	—
362	#11022	C₂³	1	16	yes	—
363	#11022	C₂³	1	16	yes	—
364	#11008	C₂³	1	8	yes	complemented
365	#11008	C₂³	1	16	yes	complemented
366	#10969	C₂³	1	8	yes	—
367	#10969	C₂³	1	8	yes	—
368	#10969	C₂³	1	16	yes	—
369	#10969	C₂³	1	8	yes	—
370	#10969	C₂³	1	16	yes	—
371	#10969	C₂³	1	16	yes	complemented
372	#10969	C₂³	1	16	yes	complemented
373	#10964	C₂³	1	8	yes	—
374	#10964	C₂³	1	8	yes	—
375	#10931	C₂³	1	16	yes	—
376	#10927	C₂³	1	8	yes	complemented
377	#10922	C₂³	1	16	yes	complemented
378	#10908	C₂³	1	16	yes	complemented
379	#10881	C₂³	1	8	yes	complemented
380	#10850	C₂³	1	8	yes	complemented
381	#10843	C₂³	1	4	yes	complemented
382	#10843	C₂³	1	4	yes	complemented
383	#10835	C₂³	1	8	yes	complemented
384	#10835	C₂³	1	8	yes	complemented
385	#10788	C₂³	1	16	yes	complemented
386	#10788	C₂³	1	8	yes	complemented
387	#10788	C₂³	1	8	yes	complemented
388	#10730	C₂³	1	8	yes	—
389	#10730	C₂³	1	8	yes	—
390	#10721	C₂³	1	8	yes	—
391	#10712	C₂³	1	8	yes	—
392	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
393	C₂⁴×D₄	C₂×D₄	1	2	yes	—
394	C₂⁴×D₄	C₂⁴	1	2	yes	—
395	C₂⁴×D₄	C₂⁴	1	2	yes	—
396	C₂⁴×D₄	C₂⁴	1	2	yes	—
397	C₂⁴×D₄	C₂⁴	1	2	yes	—
398	C₂⁴×D₄	C₂⁴	1	4	yes	—
399	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
400	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
401	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
402	C₂⁵×C₄	C₂⁴	1	2	yes	—
403	C₂³×D₈	C₂⁴	1	8	yes	—
404	C₂³×D₈	C₂⁴	1	8	yes	—
405	C₂³×D₈	C₂⁴	1	8	yes	—
406	C₂⁴×C₈	C₂⁴	1	4	yes	—
407	C₂×#532	C₂×D₄	1	8	yes	—
408	C₂×#532	C₂×D₄	1	8	yes	—
409	C₂×#532	C₂×D₄	1	16	yes	—
410	C₂×#532	C₂×D₄	1	16	yes	—
411	C₂×#532	C₂×D₄	1	8	yes	—
412	C₂×#532	C₂×D₄	1	8	yes	complemented
413	C₂×#532	C₂×D₄	1	8	yes	complemented
414	C₂×#532	C₂×D₄	1	16	yes	complemented
415	C₂²×C₄⋊Q₈	C₂×D₄	1	8	yes	complemented
416	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄⋊Q₈	C₂⁴	1	2	yes	—
419	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
420	C₂²×#127	C₂×D₄	1	8	yes	complemented
421	C₂²×#127	C₂⁴	1	1	yes	characteristic
422	C₂²×#127	C₂⁴	1	1	yes	characteristic
423	C₂²×#127	C₂⁴	1	2	yes	—
424	C₂²×#127	C₂⁴	1	1	yes	characteristic
425	C₂²×#127	C₂⁴	1	4	yes	—
426	C₂²×#121	C₂×D₄	1	16	yes	—
427	C₂²×#121	C₂×D₄	1	2	yes	—
428	C₂²×#121	C₂×D₄	1	2	yes	—
429	C₂²×#121	C₂×D₄	1	2	yes	—
430	C₂²×#121	C₂×D₄	1	2	yes	—
431	C₂²×#121	C₂⁴	1	2	yes	—
432	C₂²×#121	C₂⁴	1	2	yes	—
433	C₂²×#121	C₂⁴	1	2	yes	—
434	C₂²×#121	C₂⁴	1	4	yes	—
435	C₂²×#121	C₂⁴	1	4	yes	—
436	C₂²×#121	C₂⁴	1	16	yes	—
437	C₂²×#121	C₂⁴	1	2	yes	—
438	C₂²×#121	C₂⁴	1	2	yes	—
439	C₂²×#121	C₂⁴	1	2	yes	—
440	C₂²×#121	C₂⁴	1	4	yes	—
441	C₂²×#121	C₂⁴	1	4	yes	—
442	C₂²×#121	C₂⁴	1	2	yes	—
443	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
444	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
445	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
446	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
447	C₂²×C₄×D₄	C₂×D₄	1	16	yes	complemented
448	C₂²×C₄×D₄	C₂×D₄	1	16	yes	complemented
449	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
450	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
451	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
452	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
453	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
454	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
455	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
456	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
457	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
458	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
459	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
460	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
461	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
462	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
463	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
464	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
465	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
466	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	—
467	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
468	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
469	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
470	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
471	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
472	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
473	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
474	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
475	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
476	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
477	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
478	C₂³×C₄²	C₂×D₄	1	8	yes	—
479	C₂³×C₄²	C₂×D₄	1	8	yes	—
480	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
481	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
482	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
483	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
484	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
485	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
486	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
487	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
488	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
489	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
490	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
491	C₂³×C₄²	C₂⁴	1	2	yes	—
492	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
493	C₂×#481	C₂×D₄	1	32	yes	complemented
494	C₂×#476	C₂×D₄	1	32	yes	complemented
495	C₂×#459	C₂×D₄	1	32	yes	complemented
496	C₂×#447	C₂×D₄	1	32	yes	complemented
497	C₂×#442	C₂×D₄	1	64	yes	complemented
498	C₂×#432	C₂×D₄	1	16	yes	complemented
499	C₂²×#106	C₂⁴	1	8	yes	—
500	C₂²×#106	C₂⁴	1	8	yes	—
501	C₂²×#106	C₂⁴	1	8	yes	—
502	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
503	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
504	C₂²×C₄⋊C₈	C₂⁴	1	4	yes	—
505	C₂²×#102	C₂⁴	1	8	yes	—
506	C₂²×#102	C₂⁴	1	8	yes	—
507	C₂²×#102	C₂⁴	1	8	yes	—
508	C₂²×#102	C₂⁴	1	8	yes	—
509	C₂²×#102	C₂⁴	1	8	yes	—
510	C₂²×#102	C₂⁴	1	8	yes	—
511	C₂²×#102	C₂⁴	1	8	yes	—
512	C₂²×#102	C₂⁴	1	8	yes	—
513	C₂²×#102	C₂⁴	1	16	yes	—
514	C₂²×#102	C₂⁴	1	16	yes	—
515	C₂²×#102	C₂⁴	1	16	yes	—
516	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
517	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
518	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
519	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
520	C₂²×C₂²⋊C₈	C₂⁴	1	16	yes	—
521	C₂²×C₂²⋊C₈	C₂⁴	1	16	yes	—
522	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
523	C₂²×#97	C₂⁴	1	4	yes	—
524	C₂²×#97	C₂⁴	1	4	yes	—
525	C₂²×#97	C₂⁴	1	4	yes	—
526	#2857	C₂×D₄	1	8	yes	complemented
527	#2857	C₂×D₄	1	8	yes	complemented
528	#2856	C₂×D₄	1	8	yes	complemented
529	#2856	C₂×D₄	1	8	yes	complemented
530	#2854	C₂×D₄	1	16	yes	—
531	#2847	C₂×D₄	1	16	yes	—
532	C₄×#121	C₂×D₄	1	16	yes	complemented
533	C₄×#121	C₂×D₄	1	16	yes	complemented
534	C₂×#390	C₂×D₄	1	2	yes	—
535	C₂×#390	C₂×D₄	1	2	yes	—
536	C₂×#390	C₂×D₄	1	2	yes	—
537	C₂×#390	C₂×D₄	1	2	yes	—
538	C₂×#390	C₂⁴	1	4	yes	—
539	C₂×#390	C₂⁴	1	4	yes	—
540	C₂×#390	C₂⁴	1	4	yes	—
541	C₂×#390	C₂⁴	1	16	yes	—
542	C₂×#390	C₂⁴	1	2	yes	—
543	C₂×#390	C₂⁴	1	2	yes	—
544	C₂×#389	C₂×D₄	1	2	yes	—
545	C₂×#389	C₂×D₄	1	2	yes	—
546	C₂×#389	C₂×D₄	1	2	yes	—
547	C₂×#389	C₂×D₄	1	2	yes	—
548	C₂×#389	C₂⁴	1	4	yes	—
549	C₂×#389	C₂⁴	1	2	yes	—
550	C₂×#389	C₂⁴	1	2	yes	—
551	C₂×#388	C₂×D₄	1	4	yes	—
552	C₂×#388	C₂×D₄	1	4	yes	—
553	C₂×#388	C₂×D₄	1	4	yes	—
554	C₂×#388	C₂×D₄	1	4	yes	—
555	C₂×#386	C₂×D₄	1	4	yes	—
556	C₂×#386	C₂×D₄	1	4	yes	—
557	C₂×#386	C₂×D₄	1	4	yes	—
558	C₂×#386	C₂×D₄	1	4	yes	—
559	#2285	C₂×D₄	1	8	yes	—
560	C₂×#384	C₂⁴	1	4	yes	—
561	C₂×#384	C₂⁴	1	1	yes	characteristic
562	C₂×#384	C₂⁴	1	1	yes	characteristic
563	C₂×#382	C₂⁴	1	4	yes	—
564	C₂×#382	C₂⁴	1	4	yes	—
565	C₂×#380	C₂×D₄	1	2	yes	—
566	C₂×#380	C₂×D₄	1	2	yes	—
567	C₂×#380	C₂×D₄	1	2	yes	—
568	C₂×#380	C₂×D₄	1	2	yes	—
569	C₂×#380	C₂⁴	1	4	yes	—
570	C₂×#380	C₂⁴	1	4	yes	—
571	C₂×#380	C₂⁴	1	4	yes	—
572	C₂×#380	C₂⁴	1	16	yes	—
573	C₂×#380	C₂⁴	1	2	yes	—
574	C₂×#380	C₂⁴	1	2	yes	—
575	C₂×#380	C₂⁴	1	2	yes	—
576	C₂×#380	C₂⁴	1	4	yes	—
577	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
578	C₂×C₄×C₄⋊C₄	C₂×D₄	1	2	yes	—
579	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
580	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
581	C₂×C₄×C₄⋊C₄	C₂⁴	1	4	yes	—
582	C₂×C₄×C₄⋊C₄	C₂⁴	1	2	yes	—
583	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	4	yes	—
584	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	4	yes	—
585	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
587	C₂²×#95	C₂×D₄	1	2	yes	—
588	C₂²×#95	C₂×D₄	1	2	yes	—
589	C₂²×#95	C₂×D₄	1	2	yes	—
590	C₂×#340	C₂⁴	1	16	yes	—
591	C₂×#340	C₂⁴	1	8	yes	—
592	C₂×#340	C₂⁴	1	16	yes	—
593	C₂×#340	C₂⁴	1	8	yes	—
594	C₂×#340	C₂⁴	1	16	yes	—
595	C₂×#340	C₂⁴	1	16	yes	—
596	C₂×#340	C₂⁴	1	16	yes	—
597	C₂×#336	C₂⁴	1	4	yes	—
598	C₂×#336	C₂⁴	1	4	yes	—
599	C₂×#336	C₂⁴	1	16	yes	—
600	C₂×#336	C₂⁴	1	16	yes	—
601	C₄⋊#95	C₂⁴	1	4	yes	—
602	C₄⋊#95	C₂⁴	1	16	yes	—
603	C₄⋊#95	C₂⁴	1	4	yes	—
604	C₂⁶	C₂²×D₄	1	1	yes	characteristic
605	C₂⁶	C₂²×D₄	1	2	yes	—
606	C₂³×D₄	AGL(1,ℤ/8)	1	16	yes	—
607	C₂³×D₄	C₂²×D₄	1	4	yes	—
608	C₂³×D₄	C₂²×D₄	1	2	yes	—
609	C₂³×D₄	C₂²×D₄	1	2	yes	—
610	C₂³×D₄	C₂²×D₄	1	8	yes	—
611	C₂³×D₄	C₂²×D₄	1	8	yes	—
612	C₂³×D₄	C₂²×D₄	1	4	yes	—
613	C₂³×D₄	H(5,𝔽₂)	1	8	yes	complemented
614	C₂³×D₄	C₂⁵	1	2	yes	—
615	C₂³×D₄	C₂⁵	1	2	yes	—
616	C₂³×D₄	C₂⁵	1	2	yes	—
617	C₂³×D₄	C₂⁵	1	4	yes	—
618	C₂⁴×C₄	#120	1	8	yes	—
619	C₂⁴×C₄	#120	1	8	yes	—
620	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
621	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
622	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
623	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
624	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
625	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
626	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
627	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
628	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
629	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
630	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
631	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
632	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
633	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
634	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
635	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
636	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
637	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
638	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
639	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
640	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
641	C₂⁴×C₄	C₂⁵	1	4	yes	—
642	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
643	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
644	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
645	C₂²×D₈	C₂²×D₄	1	32	yes	—
646	C₂³×C₈	C₂⁵	1	8	yes	—
647	C₂³×C₈	C₂⁵	1	8	yes	—
648	#532	#120	1	64	yes	complemented
649	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
650	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
651	C₂×C₄⋊Q₈	C₂²×D₄	1	8	yes	—
652	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
653	C₂×C₄⋊Q₈	C₂²×D₄	1	8	yes	—
654	C₂×#127	C₂²×D₄	1	4	yes	—
655	C₂×#127	C₂²×D₄	1	4	yes	—
656	C₂×#127	C₂²×D₄	1	8	yes	—
657	C₂×#127	C₂²×D₄	1	4	yes	—
658	C₂×#127	C₂²×D₄	1	8	yes	—
659	C₂×#121	C₂²×D₄	1	8	yes	—
660	C₂×#121	C₂²×D₄	1	8	yes	—
661	C₂×#121	C₂²×D₄	1	8	yes	—
662	C₂×#121	C₂²×D₄	1	8	yes	—
663	C₂×#121	C₂²×D₄	1	8	yes	—
664	C₂×#121	C₂²×D₄	1	8	yes	—
665	C₂×#121	C₂²×D₄	1	16	yes	—
666	C₂×#121	C₂²×D₄	1	8	yes	—
667	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
668	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
669	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
670	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
671	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
672	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
673	C₂×C₄×D₄	C₂²×D₄	1	16	yes	—
674	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
675	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
676	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
677	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
678	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
679	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
680	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
681	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
682	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
683	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
684	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
685	C₂²×C₄⋊C₄	C₂⁵	1	8	yes	—
686	C₂²×C₄⋊C₄	C₂⁵	1	4	yes	—
687	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
688	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
689	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
690	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
691	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
692	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
693	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
694	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
695	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
696	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
697	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
698	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
699	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
700	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
701	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
702	C₂²×C₄²	#120	1	8	yes	—
703	C₂²×C₄²	#120	1	8	yes	—
704	C₂²×C₄²	#120	1	8	yes	—
705	C₂²×C₄²	#120	1	8	yes	—
706	C₂²×C₄²	#120	1	8	yes	—
707	C₂²×C₄²	#120	1	8	yes	—
708	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
709	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
710	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
711	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
712	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
713	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
714	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
715	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
716	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
717	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
718	C₂²×C₄²	C₂²×D₄	1	4	yes	—
719	C₂²×C₄²	C₂²×D₄	1	4	yes	—
720	C₂²×C₄²	C₂²×D₄	1	4	yes	—
721	C₂²×C₄²	C₂²×D₄	1	4	yes	—
722	C₂²×C₄²	C₂²×D₄	1	4	yes	—
723	C₂²×C₄²	C₂²×D₄	1	4	yes	—
724	C₂²×C₄²	C₂²×D₄	1	4	yes	—
725	C₂²×C₄²	C₂²×D₄	1	4	yes	—
726	C₂²×C₄²	C₂²×D₄	1	4	yes	—
727	C₂²×C₄²	C₂²×D₄	1	4	yes	—
728	C₂²×C₄²	C₂²×D₄	1	4	yes	—
729	C₂²×C₄²	C₂²×D₄	1	4	yes	—
730	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
731	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
732	C₂²×C₄²	C₂²×D₄	1	8	yes	—
733	C₂²×C₄²	C₂²×D₄	1	4	yes	—
734	C₂²×C₄²	H(5,𝔽₂)	1	8	yes	—
735	C₂²×C₄²	C₂⁵	1	4	yes	—
736	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
737	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
738	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
739	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
740	C₂×#106	C₂²×D₄	1	32	yes	—
741	C₂×C₄⋊C₈	C₂²×D₄	1	16	yes	—
742	C₂×#102	C₂²×D₄	1	32	yes	—
743	C₂×#102	C₂²×D₄	1	32	yes	—
744	C₂×C₂²⋊C₈	C₂²×D₄	1	16	yes	—
745	C₂×#97	C₂²×D₄	1	16	yes	—
746	#390	C₂²×D₄	1	8	yes	—
747	#390	C₂²×D₄	1	8	yes	—
748	#389	C₂²×D₄	1	8	yes	—
749	#389	C₂²×D₄	1	8	yes	—
750	#384	C₂²×D₄	1	4	yes	—
751	#384	C₂²×D₄	1	4	yes	—
752	#380	C₂²×D₄	1	8	yes	—
753	#380	C₂²×D₄	1	8	yes	—
754	#380	C₂²×D₄	1	8	yes	—
755	C₄×C₄⋊C₄	C₂²×D₄	1	8	yes	—
756	C₂×#95	C₂²×D₄	1	4	yes	—
757	C₂×#95	C₂²×D₄	1	4	yes	—
758	C₂×#95	C₂²×D₄	1	4	yes	—
759	C₂×#95	C₂²×D₄	1	4	yes	—
760	C₂×#95	C₂²×D₄	1	4	yes	—
761	C₂×#95	C₂²×D₄	1	4	yes	—
762	C₂⁵	C₂×#120	1	4	yes	—
763	C₂⁵	C₂×AGL(1,ℤ/8)	1	8	yes	—
764	C₂⁵	C₂×AGL(1,ℤ/8)	1	8	yes	—
765	C₂⁵	C₂³×D₄	1	4	yes	—
766	C₂⁵	C₂³×D₄	1	1	yes	characteristic
767	C₂⁵	C₂³×D₄	1	1	yes	characteristic
768	C₂⁵	C₂³×D₄	1	1	yes	characteristic
769	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	16	yes	—
770	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	16	yes	—
771	C₂²×D₄	C₂³×D₄	1	4	yes	—
772	C₂²×D₄	C₂³×D₄	1	4	yes	—
773	C₂²×D₄	C₂³×D₄	1	4	yes	—
774	C₂²×D₄	C₂³×D₄	1	8	yes	—
775	C₂²×D₄	C₂³×D₄	1	8	yes	—
776	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
777	C₂²×D₄	#585	1	8	yes	—
778	C₂³×C₄	C₂×#120	1	4	yes	—
779	C₂³×C₄	C₂×#120	1	4	yes	—
780	C₂³×C₄	C₂×#120	1	4	yes	—
781	C₂³×C₄	C₂×#120	1	4	yes	—
782	C₂³×C₄	C₂×#120	1	4	yes	—
783	C₂³×C₄	C₂×#120	1	4	yes	—
784	C₂³×C₄	C₂×#120	1	4	yes	—
785	C₂³×C₄	C₂×#120	1	4	yes	—
786	C₂³×C₄	C₂×#120	1	4	yes	—
787	C₂³×C₄	C₂×#120	1	4	yes	—
788	C₂³×C₄	C₂×#120	1	4	yes	—
789	C₂³×C₄	C₂×#120	1	4	yes	—
790	C₂³×C₄	C₂×#120	1	4	yes	—
791	C₂³×C₄	C₂×#120	1	4	yes	—
792	C₂³×C₄	C₂×#120	1	4	yes	—
793	C₂³×C₄	D₄²	1	8	yes	—
794	C₂³×C₄	D₄²	1	8	yes	—
795	C₂³×C₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
796	C₂³×C₄	C₂³×D₄	1	4	yes	—
797	C₂³×C₄	C₂³×D₄	1	4	yes	—
798	C₂³×C₄	C₂³×D₄	1	2	yes	—
799	C₂³×C₄	C₂³×D₄	1	2	yes	—
800	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
801	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
802	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
803	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
804	C₂³×C₄	C₂³×D₄	1	4	yes	—
805	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
806	C₂³×C₄	C₂³×D₄	1	2	yes	—
807	C₂³×C₄	C₂³×D₄	1	4	yes	—
808	C₂³×C₄	C₂³×D₄	1	2	yes	—
809	C₂³×C₄	C₂³×D₄	1	2	yes	—
810	C₂³×C₄	C₂³×D₄	1	2	yes	—
811	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
812	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
813	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
814	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
815	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
816	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
817	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
818	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
819	C₂³×C₄	#585	1	4	yes	—
820	C₂³×C₄	C₂⁶	1	1	yes	characteristic
821	C₂²×C₈	C₂³×D₄	1	16	yes	—
822	C₄⋊Q₈	C₂×#120	1	16	yes	complemented
823	#127	C₂×#120	1	16	yes	complemented
824	#121	C₂×#120	1	32	yes	—
825	C₄×D₄	C₂×#120	1	32	yes	complemented
826	C₂×C₄⋊C₄	C₂³×D₄	1	8	yes	—
827	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
828	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
829	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
830	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
831	C₂×C₄⋊C₄	C₂³×D₄	1	8	yes	—
832	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
833	C₂×C₄²	C₂×#120	1	4	yes	—
834	C₂×C₄²	C₂×#120	1	4	yes	—
835	C₂×C₄²	C₂×#120	1	4	yes	—
836	C₂×C₄²	C₂×#120	1	4	yes	—
837	C₂×C₄²	C₂×#120	1	4	yes	—
838	C₂×C₄²	C₂×#120	1	4	yes	—
839	C₂×C₄²	C₂×#120	1	4	yes	—
840	C₂×C₄²	C₂×#120	1	4	yes	—
841	C₂×C₄²	C₂×#120	1	4	yes	—
842	C₂×C₄²	C₂×#120	1	4	yes	—
843	C₂×C₄²	C₂×#120	1	4	yes	—
844	C₂×C₄²	C₂×#120	1	4	yes	—
845	C₂×C₄²	C₂×#120	1	16	yes	—
846	C₂×C₄²	#534	1	16	yes	—
847	C₂×C₄²	D₄²	1	8	yes	—
848	C₂×C₄²	D₄²	1	8	yes	—
849	C₂×C₄²	D₄²	1	32	yes	—
850	C₂×C₄²	C₂³×D₄	1	2	yes	—
851	C₂×C₄²	C₂³×D₄	1	2	yes	—
852	C₂×C₄²	C₂³×D₄	1	2	yes	—
853	C₂×C₄²	C₂³×D₄	1	2	yes	—
854	C₂×C₄²	C₂³×D₄	1	2	yes	—
855	C₂×C₄²	C₂³×D₄	1	2	yes	—
856	C₂×C₄²	C₂³×D₄	1	4	yes	—
857	C₂×C₄²	C₂³×D₄	1	4	yes	—
858	C₂×C₄²	C₂³×D₄	1	2	yes	—
859	C₂×C₄²	C₂³×D₄	1	2	yes	—
860	C₂×C₄²	C₂×H(5,𝔽₂)	1	4	yes	—
861	C₂×C₄²	C₂×H(5,𝔽₂)	1	4	yes	—
862	C₂⁴	#3003	1	16	yes	—
863	C₂⁴	C₂²×#120	1	2	yes	—
864	C₂⁴	C₂²×#120	1	2	yes	—
865	C₂⁴	C₂²×#120	1	2	yes	—
866	C₂⁴	C₂×D₄²	1	4	yes	—
867	C₂⁴	#3484	1	2	yes	—
868	C₂⁴	#3485	1	2	yes	—
869	C₂⁴	C₂²×AGL(1,ℤ/8)	1	8	yes	—
870	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
871	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
872	C₂⁴	C₂²×AGL(1,ℤ/8)	1	4	yes	—
873	C₂⁴	#3585	1	4	yes	—
874	C₂⁴	#3585	1	4	yes	—
875	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
876	C₂×D₄	C₂²×#120	1	8	yes	—
877	C₂×D₄	#3488	1	16	yes	complemented
878	C₂²×C₄	#2403	1	16	yes	—
879	C₂²×C₄	#2403	1	16	yes	—
880	C₂²×C₄	C₂²×#120	1	2	yes	—
881	C₂²×C₄	C₂²×#120	1	2	yes	—
882	C₂²×C₄	C₂²×#120	1	2	yes	—
883	C₂²×C₄	C₂²×#120	1	2	yes	—
884	C₂²×C₄	C₂²×#120	1	2	yes	—
885	C₂²×C₄	C₂²×#120	1	2	yes	—
886	C₂²×C₄	C₂²×#120	1	2	yes	—
887	C₂²×C₄	C₂²×#120	1	2	yes	—
888	C₂²×C₄	C₂²×#120	1	2	yes	—
889	C₂²×C₄	C₂²×#120	1	4	yes	—
890	C₂²×C₄	C₂²×#120	1	2	yes	—
891	C₂²×C₄	C₂²×#120	1	2	yes	—
892	C₂²×C₄	C₂×#534	1	4	yes	—
893	C₂²×C₄	C₂×D₄²	1	4	yes	—
894	C₂²×C₄	C₂×D₄²	1	4	yes	—
895	C₂²×C₄	C₂×D₄²	1	4	yes	—
896	C₂²×C₄	C₂×D₄²	1	4	yes	—
897	C₂²×C₄	C₂×D₄²	1	4	yes	—
898	C₂²×C₄	C₂×D₄²	1	8	yes	—
899	C₂²×C₄	#3484	1	2	yes	—
900	C₂²×C₄	#3485	1	2	yes	—
901	C₂²×C₄	#3488	1	8	yes	—
902	C₂²×C₄	#3488	1	8	yes	—
903	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	8	yes	—
904	C₂²×C₄	#3585	1	4	yes	—
905	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
907	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
908	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
909	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
910	C₂²×C₄	C₂×#585	1	2	yes	—
911	C₂²×C₄	C₂×#585	1	4	yes	—
912	C₄⋊C₄	C₂²×#120	1	8	yes	—
913	C₄²	#2403	1	16	yes	—
914	C₄²	#2403	1	16	yes	—
915	C₄²	C₂²×#120	1	4	yes	—
916	C₄²	C₂²×#120	1	4	yes	—
917	C₄²	C₂×#534	1	4	yes	—
918	C₄²	C₂×#534	1	4	yes	—
919	C₄²	C₂×D₄²	1	8	yes	—
920	C₄²	C₂×D₄²	1	8	yes	—
921	C₂³	C₂×#2403	1	4	yes	—
922	C₂³	#35512	1	4	yes	—
923	C₂³	C₂×#3003	1	4	yes	—
924	C₂³	C₂×#3003	1	4	yes	—
925	C₂³	C₂×#3003	1	4	yes	—
926	C₂³	#60367	1	4	yes	—
927	C₂³	#60369	1	4	yes	—
928	C₂³	D₄×AGL(1,ℤ/8)	1	16	yes	—
929	C₂³	#61569	1	8	yes	—
930	C₂³	#61707	1	8	yes	—
931	C₂³	C₂³×#120	1	1	yes	characteristic
932	C₂³	C₂²×D₄²	1	2	yes	—
933	C₂³	C₂×#3484	1	1	yes	characteristic
934	C₂³	C₂×#3485	1	1	yes	characteristic
935	C₂³	#62811	1	2	yes	—
936	C₂³	C₂³×AGL(1,ℤ/8)	1	2	yes	—
937	C₂³	C₂×#3585	1	2	yes	—
938	C₂³	C₂×#3585	1	2	yes	—
939	C₂³	C₂×#3585	1	2	yes	—
940	C₂×C₄	C₂×#2403	1	4	yes	—
941	C₂×C₄	C₂×#2403	1	4	yes	—
942	C₂×C₄	C₂×#2403	1	4	yes	—
943	C₂×C₄	C₂×#2403	1	4	yes	—
944	C₂×C₄	C₂×#2403	1	4	yes	—
945	C₂×C₄	#35512	1	4	yes	—
946	C₂×C₄	#60369	1	4	yes	—
947	C₂×C₄	C₂³×#120	1	1	yes	characteristic
948	C₂×C₄	C₂²×#534	1	1	yes	characteristic
949	C₂×C₄	C₂²×D₄²	1	2	yes	—
950	C₂×C₄	C₂×#3488	1	2	yes	—
951	C₂×C₄	C₂×#3488	1	4	yes	—
952	C₂×C₄	C₂×#3488	1	2	yes	—
953	C₂×C₄	#62811	1	2	yes	—
954	C₂×C₄	#62811	1	4	yes	—
955	C₂×C₄	#62811	1	2	yes	—
956	C₂×C₄	#62818	1	4	yes	—
957	C₂×C₄	#62821	1	4	yes	—
958	C₂²	#6437510	1	8	yes	—
959	C₂²	#6512624	1	8	yes	complemented
960	C₂²	C₂²×#2403	1	1	yes	characteristic
961	C₂²	C₂×#35512	1	1	yes	characteristic
962	C₂²	#7629120	1	1	yes	characteristic
963	C₂²	#7671478	1	2	yes	—
964	C₂²	#7671870	1	2	yes	—
965	C₂²	C₂²×#3003	1	1	yes	characteristic
966	C₂²	C₂×#60367	1	1	yes	characteristic
967	C₂²	C₂×#60369	1	1	yes	characteristic
968	C₂²	C₂×#60369	1	1	yes	characteristic
969	C₂²	C₂×D₄×AGL(1,ℤ/8)	1	4	yes	—
970	C₂²	#10576108	1	4	yes	—
971	C₂²	C₂×#61569	1	2	yes	—
972	C₂²	#10577413	1	2	yes	—
973	C₂²	C₂×#61707	1	2	yes	—
974	C₂²	#10578102	1	2	yes	—
975	C₂²	#10580317	1	4	yes	—
976	C₂²	#10580488	1	4	yes	—
977	C₄	#7631202	1	2	yes	—
978	C₄	#7643268	1	2	yes	—
979	C₄	#7672626	1	4	yes	—
980	C₂	C₂×#6437510	1	1	yes	characteristic
981	C₂	#72237165	1	1	yes	characteristic
982	C₂	#72240150	1	1	yes	characteristic
983	C₂	#72280118	1	1	yes	characteristic
984	C₂	#72283050	1	4	yes	—
985	C₂	#72283118	1	4	yes	—
986	C₂	C₂×#6512624	1	1	yes	characteristic
987	C₂	#72314057	1	1	yes	characteristic
988	C₂	#72314079	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁴×D₄
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄×#121 ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72314349	C₂	semidirect
2. #72314347	C₂	semidirect
3. #72314344	C₂	semidirect
4. #72314343	C₂	semidirect
5. #72314342	C₂	semidirect
6. #72314341	C₂	semidirect
7. #72314339	C₂	semidirect
8. #72314338	C₂	semidirect
9. #72314332	C₂	semidirect
10. #72314328	C₂	semidirect
11. #72314318	C₂	semidirect
12. #72314317	C₂	semidirect
13. #72314312	C₂	semidirect
14. #72314311	C₂	semidirect
15. C₂×#6512624	C₂	semidirect
16. C₂×#7671479	C₂	semidirect
17. C₂×#613649	C₂	semidirect
18. C₂³×#3109	C₂	semidirect
19. #72268484	C₂	semidirect
20. C₂×#6629283	C₂	semidirect
21. #72237137	C₂	semidirect
22. #72237132	C₂	semidirect
23. C₂²×#3496	C₂²	semidirect
25. C₂⁴×C₄×D₄	C₂²	semidirect
27. C₂²×#3109	C₂²	semidirect
28. C₂²×#3109	C₂²	semidirect
29. C₂²×#3109	C₂²	semidirect
30. C₂²×#3109	C₂²	semidirect
31. C₂²×#3109	C₂²	semidirect
32. C₂²×#3109	C₂²	semidirect
33. C₂³×#481	C₂²	semidirect
34. C₂³×#476	C₂²	semidirect
35. C₂³×#459	C₂²	semidirect
36. C₂³×#447	C₂²	semidirect
37. C₂³×#442	C₂²	semidirect
38. C₂³×#432	C₂²	semidirect
39. C₂×#59035	C₂²	semidirect
40. C₂×#59051	C₂²	semidirect
41. C₂×#59126	C₂²	semidirect
42. C₂×#59125	C₂²	semidirect
43. C₂×#39342	C₂²	semidirect
44. C₂×#39340	C₂²	semidirect
46. C₂×#36123	C₂²	semidirect
47. C₂×#36100	C₂²	semidirect
49. C₂×D₄×#121	C₂²	semidirect
50. C₂×#35166	C₂²	semidirect
51. C₂×#35165	C₂²	semidirect
52. C₂²×#2535	C₂²	semidirect
53. C₂²×#2408	C₂²	semidirect
54. C₂×#34206	C₂²	semidirect
56. C₂×#33004	C₂²	semidirect
57. C₂×#32979	C₂²	semidirect
58. C₂×#32956	C₂²	semidirect
59. C₂×#32956	C₂²	semidirect
60. C₂×#32902	C₂²	semidirect
61. C₂×#32902	C₂²	semidirect
62. C₂×#32878	C₂²	semidirect
63. C₂×#24128	C₂²	semidirect
64. C₂×#24128	C₂²	semidirect
65. C₂×#24248	C₂²	semidirect
66. C₂×#24248	C₂²	semidirect
67. C₂×#24005	C₂²	semidirect
68. C₂×#23848	C₂²	semidirect
69. C₂×#23918	C₂²	semidirect
70. C₂×#21865	C₂²	semidirect
71. C₂×#21865	C₂²	semidirect
72. C₂×#21865	C₂²	semidirect
73. C₂×#21790	C₂²	semidirect
74. C₂×#21452	C₂²	semidirect
75. C₂×#21452	C₂²	semidirect
76. C₂×#20738	C₂²	semidirect
77. C₂×#20715	C₂²	semidirect
78. #613649	C₂²	semidirect
79. #613649	C₂²	semidirect
80. #613649	C₂²	semidirect
81. #613649	C₂²	semidirect
82. C₂×#14682	C₂²	semidirect
83. C₂×#13970	C₂²	semidirect
84. C₂×#13941	C₂²	semidirect
85. C₂×#13872	C₂²	semidirect
86. #449820	C₂²	semidirect
87. #449660	C₂²	semidirect
88. #449570	C₂²	semidirect
89. #449464	C₂²	semidirect
90. #418626	C₂²	semidirect
91. #418286	C₂²	semidirect
92. #418142	C₂²	semidirect
93. #418052	C₂²	semidirect
94. #417826	C₂²	semidirect
95. #417631	C₂²	semidirect
96. #417514	C₂²	semidirect
97. #417442	C₂²	semidirect
98. #415801	C₂²	semidirect
99. #414662	C₂²	semidirect
100. #414662	C₂²	semidirect
101. #411901	C₂²	semidirect
102. #411676	C₂²	semidirect
103. #411676	C₂²	semidirect
104. #411575	C₂²	semidirect
105. #411575	C₂²	semidirect
106. #406161	C₂²	semidirect
107. #405169	C₂²	semidirect
108. #395208	C₂²	semidirect
109. #394925	C₂²	semidirect
110. #394763	C₂²	semidirect
111. #394564	C₂²	semidirect
112. #394213	C₂²	semidirect
113. #394135	C₂²	semidirect
114. #393946	C₂²	semidirect
115. #393940	C₂²	semidirect
116. #393326	C₂²	semidirect
117. #392963	C₂²	semidirect
118. #392954	C₂²	semidirect
119. #392160	C₂²	semidirect
120. #382487	C₂²	semidirect
121. #380054	C₂²	semidirect
122. #379970	C₂²	semidirect
123. #379920	C₂²	semidirect
124. #375806	C₂²	semidirect
125. #374316	C₂²	semidirect
126. #374228	C₂²	semidirect
127. #374221	C₂²	semidirect
128. #374064	C₂²	semidirect
129. #368058	C₂²	semidirect
130. #364895	C₂²	semidirect
131. #364775	C₂²	semidirect
132. #364714	C₂²	semidirect
133. #364572	C₂²	semidirect
134. #364486	C₂²	semidirect
135. #364445	C₂²	semidirect
136. #363868	C₂²	semidirect
137. #363162	C₂²	semidirect
138. #363162	C₂²	semidirect
139. #362708	C₂²	semidirect
140. #361581	C₂²	semidirect
141. #360169	C₂²	semidirect
142. #360145	C₂²	semidirect
143. #360078	C₂²	semidirect
144. #360051	C₂²	semidirect
145. #359691	C₂²	semidirect
146. #359621	C₂²	semidirect
147. #359447	C₂²	semidirect
148. #359422	C₂²	semidirect
149. #355986	C₂²	semidirect
150. #355939	C₂²	semidirect
153. C₂²×#547	C₂³	semidirect
154. C₂²×#547	C₂³	semidirect
156. C₂²×D₄²	C₂³	semidirect
157. C₂²×D₄²	C₂³	semidirect
158. C₂²×#532	D₄	semidirect
183. C₂×#3109	D₄	semidirect
221. #36624	D₄	semidirect
230. C₂×#2547	C₂³	semidirect
231. C₂×#2542	C₂³	semidirect
232. C₂×#2542	C₂³	semidirect
234. C₂×#2541	C₂³	semidirect
235. C₂×#2541	C₂³	semidirect
236. C₂×#2541	C₂³	semidirect
238. C₂×#2537	C₂³	semidirect
239. C₂×#2537	C₂³	semidirect
242. C₂×#2491	C₂³	semidirect
243. C₂×#2428	C₂³	semidirect
244. C₂×#2428	C₂³	semidirect
245. C₂×#2422	C₂³	semidirect
246. C₂×#2440	C₂³	semidirect
247. C₂×#2433	C₂³	semidirect
254. C₂×#2366	C₂³	semidirect
255. C₂×#2365	C₂³	semidirect
256. C₂×#2361	C₂³	semidirect
257. C₂×#2354	C₂³	semidirect
259. C₂×D₄×C₄⋊C₄	C₂³	semidirect
260. C₂×D₄×C₂²⋊C₄	C₂³	semidirect
284. C₂×#2034	C₂³	semidirect
285. C₂×#2034	C₂³	semidirect
291. C₂×#1993	C₂³	semidirect
292. C₂×#1993	C₂³	semidirect
293. C₂×#1993	C₂³	semidirect
294. C₂×#1961	C₂³	semidirect
295. C₂×#1961	C₂³	semidirect
296. C₂×#1961	C₂³	semidirect
297. C₂×#1955	C₂³	semidirect
298. C₂×#1955	C₂³	semidirect
315. C₂×#1853	C₂³	semidirect
318. C₂×#1804	C₂³	semidirect
319. C₂×#1804	C₂³	semidirect
320. C₂×#1804	C₂³	semidirect
329. C₂×#1786	C₂³	semidirect
347. #11384	C₂³	semidirect
348. #11323	C₂³	semidirect
349. #11228	C₂³	semidirect
350. #11220	C₂³	semidirect
352. #11189	C₂³	semidirect
353. #11121	C₂³	semidirect
354. #11121	C₂³	semidirect
355. #11095	C₂³	semidirect
356. #11095	C₂³	semidirect
357. #11076	C₂³	semidirect
360. #11042	C₂³	semidirect
364. #11008	C₂³	semidirect
365. #11008	C₂³	semidirect
371. #10969	C₂³	semidirect
372. #10969	C₂³	semidirect
376. #10927	C₂³	semidirect
377. #10922	C₂³	semidirect
378. #10908	C₂³	semidirect
379. #10881	C₂³	semidirect
380. #10850	C₂³	semidirect
381. #10843	C₂³	semidirect
382. #10843	C₂³	semidirect
383. #10835	C₂³	semidirect
384. #10835	C₂³	semidirect
385. #10788	C₂³	semidirect
386. #10788	C₂³	semidirect
387. #10788	C₂³	semidirect
412. C₂×#532	C₂×D₄	semidirect
413. C₂×#532	C₂×D₄	semidirect
414. C₂×#532	C₂×D₄	semidirect
415. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
420. C₂²×#127	C₂×D₄	semidirect
447. C₂²×C₄×D₄	C₂×D₄	semidirect
448. C₂²×C₄×D₄	C₂×D₄	semidirect
493. C₂×#481	C₂×D₄	semidirect
494. C₂×#476	C₂×D₄	semidirect
495. C₂×#459	C₂×D₄	semidirect
496. C₂×#447	C₂×D₄	semidirect
497. C₂×#442	C₂×D₄	semidirect
498. C₂×#432	C₂×D₄	semidirect
526. #2857	C₂×D₄	semidirect
527. #2857	C₂×D₄	semidirect
528. #2856	C₂×D₄	semidirect
529. #2856	C₂×D₄	semidirect
532. C₄×#121	C₂×D₄	semidirect
533. C₄×#121	C₂×D₄	semidirect
613. C₂³×D₄	H(5,𝔽₂)	semidirect
648. #532	#120	semidirect
822. C₄⋊Q₈	C₂×#120	semidirect
823. #127	C₂×#120	semidirect
825. C₄×D₄	C₂×#120	semidirect
877. C₂×D₄	#3488	semidirect
959. C₂²	#6512624	semidirect

Maximal subgroups

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

subgroup	index
#72314349	2
#72314347	2
#72314344	2
#72314343	2
#72314342	2
#72314341	2
#72314339	2
#72314338	2
#72314332	2
#72314328	2
#72314318	2
#72314317	2
#72314312	2
#72314311	2
C₂×#6512624	2
C₂×#7671479	2
C₂×#613649	2
C₂³×#3109	2
#72268484	2
C₂×#6629283	2
#72237137	2
#72237132	2