Subgroups — #72262264

Order 2048.

At least 11400 conjugacy classes of subgroups; only the 4388 normal subgroups are shown.

The subgroup lattice has 892 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72262262	C₂	1	2	yes	maximal, complemented
2	#72262261	C₂	1	1	yes	maximal, characteristic, complemented
3	#72252021	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#493635	C₂	1	8	yes	maximal, complemented
5	#72232863	C₂	1	8	yes	maximal, complemented
6	C₂²×#63011	C₂	1	1	yes	maximal, characteristic
7	#72231692	C₂	1	2	yes	maximal, complemented
8	#72219302	C₂	1	2	yes	maximal, complemented
9	#72219301	C₂	1	2	yes	maximal, complemented
10	#72218980	C₂	1	4	yes	maximal, complemented
11	C₂×#63011	C₄	1	4	yes	complemented
12	C₂×#63011	C₄	1	4	yes	complemented
13	C₂×#63011	C₂²	1	4	yes	—
14	C₂×#63011	C₂²	1	4	yes	—
15	C₂²×#3549	C₄	1	1	yes	characteristic, complemented
16	C₂²×#3543	C₄	1	1	yes	characteristic, complemented
17	C₂²×#3543	C₂²	1	1	yes	characteristic
18	C₂²×#3537	C₄	1	2	yes	complemented
19	C₂²×#3532	C₄	1	2	yes	complemented
20	C₂²×#3532	C₂²	1	2	yes	—
21	C₂²×#3498	C₂²	1	1	yes	characteristic
22	C₂²×#3484	C₂²	1	2	yes	—
23	C₂²×#3481	C₄	1	1	yes	characteristic, complemented
24	C₂³×D₄²	C₄	1	1	yes	characteristic, complemented
25	C₂³×D₄²	C₂²	1	1	yes	characteristic
26	C₂×#33359	C₂²	1	4	yes	complemented
27	C₂×#33348	C₂²	1	8	yes	complemented
28	C₂×#21782	C₂²	1	4	yes	complemented
29	C₂×#21776	C₂²	1	8	yes	complemented
30	#6370704	C₂²	1	1	yes	characteristic, complemented
31	#6370693	C₂²	1	1	yes	characteristic, complemented
32	#6370693	C₂²	1	2	yes	complemented
33	C₂×#12767	C₂²	1	16	yes	complemented
34	C₂×#12759	C₂²	1	16	yes	complemented
35	C₂×#12753	C₂²	1	32	yes	complemented
36	#493430	C₂²	1	4	yes	complemented
37	#493424	C₂²	1	8	yes	complemented
38	#493370	C₂²	1	2	yes	complemented
39	C₂×#12693	C₂²	1	2	yes	complemented
40	#493357	C₂²	1	4	yes	complemented
41	C₂×#12687	C₂²	1	4	yes	complemented
42	#359601	C₂²	1	4	yes	complemented
43	#359591	C₂²	1	8	yes	complemented
44	#359509	C₂²	1	2	yes	complemented
45	#359501	C₂²	1	4	yes	complemented
46	#359458	C₂²	1	2	yes	complemented
47	#359442	C₂²	1	4	yes	complemented
48	C₂³×H(5,𝔽₂)	D₄	1	1	yes	characteristic
49	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
50	C₂⁵×D₄	D₄	1	2	yes	—
51	#63011	D₄	1	64	yes	—
52	C₂×#3498	C₂×C₄	1	2	yes	—
53	C₂×#3498	C₂×C₄	1	2	yes	—
54	C₂×#3498	D₄	1	2	yes	—
55	C₂×#3498	D₄	1	2	yes	—
56	C₂×#3498	D₄	1	2	yes	—
57	C₂×#3498	D₄	1	2	yes	—
58	C₂×#3498	C₂³	1	2	yes	—
59	C₂×#3498	C₂³	1	2	yes	—
60	C₂×#3484	C₂×C₄	1	4	yes	—
61	C₂×#3484	C₂×C₄	1	4	yes	—
62	C₂×#3484	D₄	1	4	yes	—
63	C₂×#3484	D₄	1	4	yes	—
64	C₂×#3484	D₄	1	4	yes	—
65	C₂×#3484	D₄	1	4	yes	—
66	C₂×#3484	C₂³	1	4	yes	—
67	C₂×#3484	C₂³	1	4	yes	—
68	C₂×#3549	C₂×C₄	1	4	yes	—
69	C₂×#3549	C₂×C₄	1	4	yes	complemented
70	C₂×#3543	C₂×C₄	1	4	yes	—
71	C₂×#3543	C₂×C₄	1	4	yes	complemented
72	C₂×#3543	C₂×C₄	1	4	yes	complemented
73	C₂×#3543	C₂³	1	4	yes	—
74	C₂×#3537	C₂×C₄	1	8	yes	—
75	C₂×#3537	C₂×C₄	1	8	yes	complemented
76	C₂×#3532	C₂×C₄	1	8	yes	—
77	C₂×#3532	C₂×C₄	1	8	yes	complemented
78	C₂×#3532	C₂×C₄	1	8	yes	complemented
79	C₂×#3532	C₂³	1	8	yes	—
80	C₂×#3481	C₂×C₄	1	4	yes	—
81	C₂×#3481	C₂×C₄	1	4	yes	complemented
82	C₂²×#559	C₂×C₄	1	1	yes	characteristic, complemented
83	C₂²×#551	C₂×C₄	1	2	yes	complemented
84	C₂²×D₄²	C₂×C₄	1	4	yes	—
85	C₂²×D₄²	C₂×C₄	1	2	yes	complemented
86	C₂²×D₄²	C₂×C₄	1	2	yes	complemented
87	C₂²×D₄²	C₂×C₄	1	1	yes	characteristic, complemented
88	C₂²×D₄²	C₂×C₄	1	1	yes	characteristic, complemented
89	C₂²×D₄²	C₂×C₄	1	1	yes	characteristic, complemented
90	C₂²×D₄²	C₂×C₄	1	4	yes	complemented
91	C₂²×D₄²	C₂×C₄	1	4	yes	complemented
92	C₂²×D₄²	C₂³	1	4	yes	—
93	C₂²×H(3,𝔽₄)	C₂×C₄	1	2	yes	complemented
94	C₂²×#560	C₂×C₄	1	2	yes	complemented
95	C₂²×#560	C₂×C₄	1	2	yes	complemented
96	C₂²×#535	C₂×C₄	1	1	yes	characteristic
97	C₂²×#535	C₂×C₄	1	2	yes	—
98	C₂²×#535	C₂×C₄	1	1	yes	characteristic
99	C₂²×#535	D₄	1	1	yes	characteristic
100	C₂²×#535	D₄	1	2	yes	—
101	C₂²×#535	D₄	1	1	yes	characteristic
102	C₂²×#535	D₄	1	1	yes	characteristic
103	C₂²×#535	C₂³	1	1	yes	characteristic
104	C₂²×#534	C₂×C₄	1	2	yes	—
105	C₂²×#534	D₄	1	2	yes	—
106	C₂²×#534	D₄	1	2	yes	—
107	C₂²×#534	C₂³	1	2	yes	—
108	C₂²×#532	C₂×C₄	1	1	yes	characteristic
109	C₂²×#532	D₄	1	1	yes	characteristic
110	C₂²×#532	D₄	1	1	yes	characteristic
111	C₂³×#127	C₂×C₄	1	1	yes	characteristic
112	C₂³×#127	D₄	1	1	yes	characteristic
113	C₂³×#127	C₂³	1	1	yes	characteristic
114	C₂²×#525	C₂×C₄	1	2	yes	—
115	C₂²×#525	D₄	1	2	yes	—
116	C₂³×#120	C₂×C₄	1	2	yes	—
117	C₂³×#120	D₄	1	2	yes	—
118	C₂³×#120	D₄	1	2	yes	—
119	C₂³×#120	C₂³	1	2	yes	—
120	C₂²×#518	D₄	1	2	yes	—
121	C₂²×C₄×#41	D₄	1	1	yes	characteristic
122	C₂×#2888	C₂³	1	2	yes	complemented
123	C₂×#2883	C₂³	1	2	yes	complemented
124	C₂×#2883	C₂³	1	2	yes	complemented
125	C₂×#2883	C₂³	1	4	yes	complemented
126	#34171	C₂³	1	2	yes	complemented
127	C₂×#2127	C₂³	1	8	yes	complemented
128	C₂²×#353	C₂³	1	8	yes	complemented
129	C₂×#2121	C₂³	1	16	yes	complemented
130	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	16	yes	complemented
131	C₂×#1913	C₂³	1	16	yes	complemented
132	C₂×#1911	C₂³	1	8	yes	complemented
133	C₂×#1889	C₂³	1	16	yes	complemented
134	C₂×#1887	C₂³	1	8	yes	complemented
135	#20592	C₂³	1	2	yes	complemented
136	C₂×#1783	C₂³	1	2	yes	complemented
137	#20585	C₂³	1	4	yes	complemented
138	C₂×#1781	C₂³	1	4	yes	complemented
139	C₂⁷	C₂²⋊C₄	1	2	yes	complemented
140	C₂⁷	C₂×D₄	1	2	yes	—
141	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	2	yes	complemented
142	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	2	yes	complemented
143	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic
144	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic
145	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
146	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
147	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
148	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
149	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
150	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
151	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
152	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
153	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
154	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
155	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
156	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
157	C₂³×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
158	C₂³×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
159	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
160	C₂³×#41	C₂×D₄	1	1	yes	characteristic
161	C₂³×#41	C₂×D₄	1	1	yes	characteristic
162	C₂³×#41	C₂×D₄	1	2	yes	—
163	C₂³×#41	C₂×D₄	1	1	yes	characteristic
164	C₂³×#41	C₂×D₄	1	1	yes	characteristic
165	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	complemented
166	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	complemented
167	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	complemented
168	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	complemented
169	C₂⁴×D₄	C₂²⋊C₄	1	1	yes	characteristic, complemented
170	C₂⁴×D₄	C₂²⋊C₄	1	1	yes	characteristic, complemented
171	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
172	C₂⁴×D₄	C₂×D₄	1	4	yes	—
173	C₂⁴×D₄	C₂×D₄	1	2	yes	—
174	C₂⁴×D₄	C₂×D₄	1	2	yes	—
175	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
176	C₂⁴×D₄	C₂×D₄	1	4	yes	—
177	C₂⁴×D₄	C₂×D₄	1	2	yes	—
178	C₂⁴×D₄	C₂×D₄	1	2	yes	—
179	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
180	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
181	C₂⁵×C₄	C₂²⋊C₄	1	2	yes	complemented
182	#3549	C₂²⋊C₄	1	32	yes	complemented
183	#3543	C₂²⋊C₄	1	32	yes	complemented
184	#3543	C₂×D₄	1	32	yes	—
185	#3537	C₂²⋊C₄	1	64	yes	complemented
186	#3532	C₂²⋊C₄	1	64	yes	complemented
187	#3532	C₂×D₄	1	64	yes	—
188	C₂×H(3,𝔽₄)	C₂²×C₄	1	8	yes	—
189	C₂×#560	C₂²×C₄	1	8	yes	—
190	C₂×#560	C₂²×C₄	1	8	yes	—
191	#3498	C₂×D₄	1	32	yes	—
192	#3484	C₂×D₄	1	64	yes	—
193	#3481	C₂²⋊C₄	1	32	yes	complemented
194	C₂×#559	C₂²×C₄	1	4	yes	—
195	C₂×#551	C₂²×C₄	1	8	yes	—
196	C₂×D₄²	C₂²⋊C₄	1	32	yes	complemented
197	C₂×D₄²	C₂²×C₄	1	8	yes	—
198	C₂×D₄²	C₂²×C₄	1	8	yes	—
199	C₂×D₄²	C₂²×C₄	1	4	yes	—
200	C₂×D₄²	C₂²×C₄	1	4	yes	—
201	C₂×D₄²	C₂²×C₄	1	4	yes	—
202	C₂×D₄²	C₂×D₄	1	32	yes	—
203	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
204	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
205	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
206	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
207	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
208	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
209	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
210	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
211	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
212	C₂×#535	C₂²⋊C₄	1	2	yes	complemented
213	C₂×#535	C₂²⋊C₄	1	4	yes	complemented
214	C₂×#535	C₂²⋊C₄	1	4	yes	complemented
215	C₂×#535	C₂²⋊C₄	1	4	yes	complemented
216	C₂×#535	C₂²⋊C₄	1	4	yes	complemented
217	C₂×#535	C₂²×C₄	1	2	yes	—
218	C₂×#535	C₂²×C₄	1	2	yes	—
219	C₂×#535	C₂²×C₄	1	2	yes	—
220	C₂×#535	C₂²×C₄	1	2	yes	—
221	C₂×#535	C₂²×C₄	1	2	yes	—
222	C₂×#535	C₂²×C₄	1	4	yes	—
223	C₂×#535	C₂²×C₄	1	4	yes	—
224	C₂×#535	C₂×D₄	1	2	yes	—
225	C₂×#535	C₂×D₄	1	2	yes	—
226	C₂×#535	C₂×D₄	1	2	yes	—
227	C₂×#535	C₂×D₄	1	2	yes	—
228	C₂×#535	C₂×D₄	1	2	yes	—
229	C₂×#535	C₂×D₄	1	4	yes	—
230	C₂×#535	C₂×D₄	1	4	yes	—
231	C₂×#535	C₂×D₄	1	2	yes	—
232	C₂×#535	C₂×D₄	1	2	yes	—
233	C₂×#535	C₂×D₄	1	2	yes	—
234	C₂×#535	C₂⁴	1	2	yes	—
235	C₂×#534	C₂²⋊C₄	1	4	yes	complemented
236	C₂×#534	C₂²⋊C₄	1	4	yes	complemented
237	C₂×#534	C₂²⋊C₄	1	4	yes	complemented
238	C₂×#534	C₂²⋊C₄	1	4	yes	complemented
239	C₂×#534	C₂²⋊C₄	1	4	yes	complemented
240	C₂×#534	C₂²⋊C₄	1	4	yes	complemented
241	C₂×#534	C₂²×C₄	1	4	yes	—
242	C₂×#534	C₂²×C₄	1	4	yes	—
243	C₂×#534	C₂²×C₄	1	4	yes	—
244	C₂×#534	C₂×D₄	1	4	yes	—
245	C₂×#534	C₂×D₄	1	4	yes	—
246	C₂×#534	C₂×D₄	1	4	yes	—
247	C₂×#534	C₂×D₄	1	4	yes	—
248	C₂×#534	C₂×D₄	1	4	yes	—
249	C₂×#534	C₂×D₄	1	4	yes	—
250	C₂×#534	C₂⁴	1	4	yes	—
251	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
252	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
253	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
254	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
255	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
256	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
257	C₂×#532	C₂²×C₄	1	2	yes	—
258	C₂×#532	C₂²×C₄	1	2	yes	—
259	C₂×#532	C₂×D₄	1	2	yes	—
260	C₂×#532	C₂×D₄	1	2	yes	—
261	C₂×#532	C₂×D₄	1	2	yes	—
262	C₂×#532	C₂×D₄	1	2	yes	—
263	C₂²×C₄⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
264	C₂²×#127	C₂²⋊C₄	1	2	yes	complemented
265	C₂²×#127	C₂²⋊C₄	1	2	yes	complemented
266	C₂²×#127	C₂²⋊C₄	1	2	yes	complemented
267	C₂²×#127	C₂²⋊C₄	1	2	yes	complemented
268	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic, complemented
269	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic, complemented
270	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic, complemented
271	C₂²×#127	C₂²×C₄	1	2	yes	—
272	C₂²×#127	C₂²×C₄	1	2	yes	—
273	C₂²×#127	C₂²×C₄	1	1	yes	characteristic
274	C₂²×#127	C₂²×C₄	1	1	yes	characteristic
275	C₂²×#127	C₂²×C₄	1	1	yes	characteristic
276	C₂²×#127	C₂²×C₄	1	2	yes	—
277	C₂²×#127	C₂×D₄	1	2	yes	—
278	C₂²×#127	C₂×D₄	1	2	yes	—
279	C₂²×#127	C₂×D₄	1	2	yes	—
280	C₂²×#127	C₂×D₄	1	1	yes	characteristic
281	C₂²×#127	C₂×D₄	1	1	yes	characteristic
282	C₂²×#127	C₂×D₄	1	1	yes	characteristic
283	C₂²×#127	C₂×D₄	1	2	yes	—
284	C₂²×#127	C₂⁴	1	2	yes	—
285	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
286	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
287	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
288	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
289	C₂²×#124	C₂²×C₄	1	1	yes	characteristic
290	C₂²×#124	C₂×D₄	1	1	yes	characteristic
291	C₂×#525	C₂²⋊C₄	1	4	yes	complemented
292	C₂×#525	C₂²⋊C₄	1	4	yes	complemented
293	C₂×#525	C₂²⋊C₄	1	4	yes	complemented
294	C₂×#525	C₂²⋊C₄	1	4	yes	complemented
295	C₂×#525	C₂²×C₄	1	4	yes	—
296	C₂×#525	C₂²×C₄	1	4	yes	—
297	C₂×#525	C₂×D₄	1	4	yes	—
298	C₂×#525	C₂×D₄	1	4	yes	—
299	C₂²×#123	C₂²⋊C₄	1	2	yes	complemented
300	C₂²×#123	C₂²⋊C₄	1	2	yes	complemented
301	C₂²×#123	C₂²×C₄	1	2	yes	—
302	C₂²×#123	C₂×D₄	1	2	yes	—
303	C₂²×#120	C₂²⋊C₄	1	4	yes	complemented
304	C₂²×#120	C₂²⋊C₄	1	4	yes	complemented
305	C₂²×#120	C₂²⋊C₄	1	4	yes	complemented
306	C₂²×#120	C₂²⋊C₄	1	4	yes	complemented
307	C₂²×#120	C₂²⋊C₄	1	4	yes	complemented
308	C₂²×#120	C₂²⋊C₄	1	4	yes	complemented
309	C₂²×#120	C₂²⋊C₄	1	2	yes	complemented
310	C₂²×#120	C₂²⋊C₄	1	2	yes	complemented
311	C₂²×#120	C₂²⋊C₄	1	2	yes	complemented
312	C₂²×#120	C₂²⋊C₄	1	2	yes	complemented
313	C₂²×#120	C₂²⋊C₄	1	2	yes	complemented
314	C₂²×#120	C₂²⋊C₄	1	2	yes	complemented
315	C₂²×#120	C₂²×C₄	1	4	yes	—
316	C₂²×#120	C₂²×C₄	1	4	yes	—
317	C₂²×#120	C₂²×C₄	1	2	yes	—
318	C₂²×#120	C₂²×C₄	1	2	yes	—
319	C₂²×#120	C₂²×C₄	1	2	yes	—
320	C₂²×#120	C₂²×C₄	1	4	yes	—
321	C₂²×#120	C₂×D₄	1	4	yes	—
322	C₂²×#120	C₂×D₄	1	4	yes	—
323	C₂²×#120	C₂×D₄	1	2	yes	—
324	C₂²×#120	C₂×D₄	1	2	yes	—
325	C₂²×#120	C₂×D₄	1	2	yes	—
326	C₂²×#120	C₂×D₄	1	4	yes	—
327	C₂²×#120	C₂×D₄	1	4	yes	—
328	C₂²×#120	C₂×D₄	1	4	yes	—
329	C₂²×#120	C₂×D₄	1	4	yes	—
330	C₂²×#120	C₂⁴	1	4	yes	—
331	C₂×#518	C₂²⋊C₄	1	4	yes	complemented
332	C₂×#518	C₂²⋊C₄	1	4	yes	complemented
333	C₂×#518	C₂×D₄	1	4	yes	—
334	C₂×#518	C₂×D₄	1	4	yes	—
335	C₂×#518	C₂⁴	1	4	yes	complemented
336	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	complemented
337	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	complemented
338	C₂×C₄×#41	C₂×D₄	1	2	yes	—
339	C₂×C₄×#41	C₂×D₄	1	2	yes	—
340	C₂²×#117	C₂²⋊C₄	1	1	yes	characteristic, complemented
341	C₂²×#117	C₂²⋊C₄	1	1	yes	characteristic, complemented
342	C₂²×#117	C₂²⋊C₄	1	2	yes	complemented
343	C₂²×#117	C₂²⋊C₄	1	2	yes	complemented
344	C₂²×#117	C₂×D₄	1	1	yes	characteristic
345	C₂³×C₂²⋊C₄	C₂²⋊C₄	1	2	yes	complemented
346	C₂³×C₂²⋊C₄	C₂²⋊C₄	1	2	yes	complemented
347	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
348	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
349	C₂³×C₄²	C₂²⋊C₄	1	1	yes	characteristic, complemented
350	C₂³×C₄²	C₂²⋊C₄	1	1	yes	characteristic, complemented
351	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
352	C₂²×#100	C₂⁴	1	4	yes	complemented
353	C₂²×#99	C₂⁴	1	8	yes	complemented
354	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
355	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
356	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
357	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
358	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
359	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
360	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
361	C₂⁶	#120	1	2	yes	—
362	C₂⁶	C₂²×D₄	1	2	yes	—
363	C₂⁶	C₂²×D₄	1	4	yes	—
364	C₂×H(5,𝔽₂)	#120	1	16	yes	—
365	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	—
366	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
367	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
368	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
369	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
370	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
371	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
372	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
373	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
374	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
375	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
376	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
377	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
378	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
379	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
380	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
381	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
382	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
383	C₂²×#41	#120	1	2	yes	—
384	C₂²×#41	#120	1	1	yes	characteristic
385	C₂²×#41	#120	1	1	yes	characteristic
386	C₂²×#41	#120	1	2	yes	—
387	C₂²×#41	#120	1	2	yes	—
388	C₂²×#41	#120	1	2	yes	—
389	C₂²×#41	#120	1	2	yes	—
390	C₂²×#41	#120	1	2	yes	—
391	C₂²×#41	#120	1	1	yes	characteristic
392	C₂²×#41	#120	1	1	yes	characteristic
393	C₂²×#41	#120	1	2	yes	—
394	C₂²×#41	#120	1	2	yes	—
395	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
396	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
397	C₂²×#41	C₂²×D₄	1	2	yes	—
398	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
399	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
400	C₂²×#41	C₂²×D₄	1	2	yes	—
401	C₂²×#41	C₂²×D₄	1	2	yes	—
402	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
403	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
404	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
405	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
406	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
407	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
408	C₂³×Q₈	#120	1	1	yes	characteristic
409	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
410	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
411	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
412	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
413	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
414	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
415	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
416	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
417	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
418	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
419	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
420	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
421	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
422	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
423	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
424	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
425	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
426	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
427	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
428	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
429	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
430	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
431	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
432	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
433	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
434	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
435	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
436	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
437	C₂³×D₄	#120	1	1	yes	characteristic
438	C₂³×D₄	#120	1	2	yes	—
439	C₂³×D₄	#120	1	2	yes	—
440	C₂³×D₄	#120	1	2	yes	—
441	C₂³×D₄	#120	1	2	yes	—
442	C₂³×D₄	#120	1	1	yes	characteristic
443	C₂³×D₄	#120	1	2	yes	—
444	C₂³×D₄	#120	1	1	yes	characteristic
445	C₂³×D₄	#120	1	2	yes	—
446	C₂³×D₄	#120	1	2	yes	—
447	C₂³×D₄	#120	1	2	yes	—
448	C₂³×D₄	#120	1	2	yes	—
449	C₂³×D₄	#120	1	2	yes	—
450	C₂³×D₄	#120	1	2	yes	—
451	C₂³×D₄	#120	1	2	yes	—
452	C₂³×D₄	#120	1	2	yes	—
453	C₂³×D₄	#120	1	2	yes	—
454	C₂³×D₄	#120	1	2	yes	—
455	C₂³×D₄	#120	1	2	yes	—
456	C₂³×D₄	#120	1	2	yes	—
457	C₂³×D₄	#120	1	32	yes	—
458	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
459	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
460	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
461	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
462	C₂³×D₄	C₂²×D₄	1	2	yes	—
463	C₂³×D₄	C₂²×D₄	1	4	yes	—
464	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
465	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
466	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
467	C₂³×D₄	C₂²×D₄	1	2	yes	—
468	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
469	C₂³×D₄	C₂²×D₄	1	2	yes	—
470	C₂³×D₄	C₂²×D₄	1	2	yes	—
471	C₂³×D₄	C₂²×D₄	1	2	yes	—
472	C₂³×D₄	C₂²×D₄	1	2	yes	—
473	C₂³×D₄	C₂²×D₄	1	2	yes	—
474	C₂³×D₄	C₂²×D₄	1	2	yes	—
475	C₂³×D₄	C₂²×D₄	1	2	yes	—
476	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
477	C₂³×D₄	C₂²×D₄	1	2	yes	—
478	C₂³×D₄	C₂⁵	1	1	yes	characteristic
479	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
480	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
481	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
482	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
483	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
484	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
485	C₂⁴×C₄	#120	1	2	yes	—
486	C₂⁴×C₄	#120	1	2	yes	—
487	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
488	H(3,𝔽₄)	C₂×C₂²⋊C₄	1	32	yes	complemented
489	#560	C₂×C₂²⋊C₄	1	32	yes	complemented
490	#560	C₂×C₂²⋊C₄	1	32	yes	complemented
491	#559	C₂×C₂²⋊C₄	1	16	yes	complemented
492	#551	C₂×C₂²⋊C₄	1	32	yes	complemented
493	D₄²	C₂×C₂²⋊C₄	1	16	yes	complemented
494	D₄²	C₂×C₂²⋊C₄	1	32	yes	complemented
495	D₄²	C₂×C₂²⋊C₄	1	16	yes	complemented
496	D₄²	C₂×C₂²⋊C₄	1	32	yes	complemented
497	D₄²	C₂×C₂²⋊C₄	1	16	yes	complemented
498	#535	C₂×C₂²⋊C₄	1	16	yes	—
499	#535	C₂×C₂²⋊C₄	1	16	yes	—
500	#535	C₂×C₂²⋊C₄	1	32	yes	—
501	#535	#120	1	16	yes	—
502	#535	#120	1	16	yes	—
503	#535	#120	1	16	yes	—
504	#535	#120	1	32	yes	—
505	#535	C₂²×D₄	1	16	yes	—
506	#534	C₂×C₂²⋊C₄	1	32	yes	—
507	#534	#120	1	32	yes	—
508	#534	#120	1	32	yes	—
509	#534	C₂²×D₄	1	32	yes	—
510	#532	C₂×C₂²⋊C₄	1	16	yes	—
511	#532	#120	1	16	yes	—
512	#532	#120	1	16	yes	—
513	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
514	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
515	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
516	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
517	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
518	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
519	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
520	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
521	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
522	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
523	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
524	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
525	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
526	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
527	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
528	C₂×#127	#120	1	16	yes	—
529	C₂×#127	C₂³×C₄	1	2	yes	—
530	C₂×#127	C₂³×C₄	1	2	yes	—
531	C₂×#127	C₂³×C₄	1	2	yes	—
532	C₂×#127	C₂²×D₄	1	2	yes	—
533	C₂×#127	C₂²×D₄	1	2	yes	—
534	C₂×#127	C₂²×D₄	1	2	yes	—
535	C₂×#127	C₂²×D₄	1	16	yes	—
536	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
537	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
538	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
539	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
540	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
541	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
542	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
543	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
544	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
545	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
546	C₂×#124	C₂³×C₄	1	2	yes	—
547	C₂×#124	C₂²×D₄	1	2	yes	—
548	#525	C₂×C₂²⋊C₄	1	32	yes	—
549	#525	#120	1	32	yes	—
550	C₂×#123	C₂×C₂²⋊C₄	1	4	yes	—
551	C₂×#123	C₂×C₂²⋊C₄	1	4	yes	—
552	C₂×#123	C₂×C₂²⋊C₄	1	4	yes	—
553	C₂×#123	C₂×C₂²⋊C₄	1	4	yes	—
554	C₂×#123	C₂×C₂²⋊C₄	1	4	yes	—
555	C₂×#123	C₂×C₂²⋊C₄	1	4	yes	—
556	C₂×#123	C₂³×C₄	1	4	yes	—
557	C₂×#123	C₂²×D₄	1	4	yes	—
558	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
559	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
560	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
561	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
562	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
563	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
564	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
565	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
566	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
567	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
568	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
569	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
570	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
571	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
572	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
573	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
574	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
575	C₂×#120	C₂×C₂²⋊C₄	1	4	yes	—
576	C₂×#120	C₂×C₂²⋊C₄	1	32	yes	—
577	C₂×#120	#120	1	32	yes	—
578	C₂×#120	#120	1	32	yes	—
579	C₂×#120	C₂³×C₄	1	4	yes	—
580	C₂×#120	C₂³×C₄	1	4	yes	—
581	C₂×#120	C₂³×C₄	1	4	yes	—
582	C₂×#120	C₂²×D₄	1	4	yes	—
583	C₂×#120	C₂²×D₄	1	4	yes	—
584	C₂×#120	C₂²×D₄	1	4	yes	—
585	C₂×#120	C₂²×D₄	1	32	yes	—
586	#518	#120	1	32	yes	—
587	C₄×#41	#120	1	16	yes	—
588	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
589	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
590	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
591	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
592	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
593	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
594	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
595	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
596	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
597	C₂×#117	C₂²×D₄	1	2	yes	—
598	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
599	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
600	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
601	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
602	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
603	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
604	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
605	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
606	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
607	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
608	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
609	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
610	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
611	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
612	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
613	C₂²×C₄²	C₂×C₂²⋊C₄	1	2	yes	—
614	C₂²×C₄²	C₂×C₂²⋊C₄	1	2	yes	—
615	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
616	C₂²×C₄²	C₂×C₂²⋊C₄	1	2	yes	—
617	C₂²×C₄²	C₂×C₂²⋊C₄	1	2	yes	—
618	C₂²×C₄²	C₂×C₂²⋊C₄	1	2	yes	—
619	C₂²×C₄²	C₂²×D₄	1	2	yes	—
620	C₂⁵	#379	1	1	yes	characteristic
621	C₂⁵	#379	1	1	yes	characteristic
622	C₂⁵	#379	1	2	yes	—
623	C₂⁵	#379	1	2	yes	—
624	C₂⁵	#379	1	2	yes	—
625	C₂⁵	#379	1	2	yes	—
626	C₂⁵	#379	1	2	yes	—
627	C₂⁵	#379	1	16	yes	complemented
628	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
629	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
630	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
631	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
632	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
633	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
634	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
635	C₂⁵	C₂×#120	1	2	yes	—
636	C₂⁵	C₂×#120	1	2	yes	—
637	C₂⁵	C₂×#120	1	2	yes	—
638	C₂⁵	C₂×#120	1	16	yes	—
639	C₂⁵	C₂×#120	1	2	yes	—
640	C₂⁵	C₂×#120	1	2	yes	—
641	C₂⁵	C₂×#120	1	1	yes	characteristic
642	C₂⁵	C₂³×D₄	1	2	yes	—
643	C₂×#41	#379	1	8	yes	complemented
644	C₂×#41	#379	1	8	yes	complemented
645	C₂×#41	C₂²×C₂²⋊C₄	1	8	yes	—
646	C₂×#41	C₂×#120	1	8	yes	—
647	C₂×#41	C₂×#120	1	8	yes	—
648	C₂×#41	C₂×#120	1	8	yes	—
649	C₂×#41	C₂×#120	1	16	yes	—
650	C₂×#41	C₂×#120	1	8	yes	—
651	C₂²×Q₈	#379	1	1	yes	characteristic
652	C₂²×Q₈	#379	1	1	yes	characteristic
653	C₂²×Q₈	#379	1	2	yes	—
654	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
655	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
656	C₂²×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
657	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
658	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
659	C₂²×D₄	#379	1	1	yes	characteristic
660	C₂²×D₄	#379	1	1	yes	characteristic
661	C₂²×D₄	#379	1	1	yes	characteristic
662	C₂²×D₄	#379	1	1	yes	characteristic
663	C₂²×D₄	#379	1	2	yes	—
664	C₂²×D₄	#379	1	1	yes	characteristic
665	C₂²×D₄	#379	1	2	yes	—
666	C₂²×D₄	#379	1	2	yes	—
667	C₂²×D₄	#379	1	2	yes	—
668	C₂²×D₄	#379	1	1	yes	characteristic
669	C₂²×D₄	#379	1	2	yes	—
670	C₂²×D₄	#379	1	2	yes	—
671	C₂²×D₄	#379	1	2	yes	—
672	C₂²×D₄	#379	1	2	yes	—
673	C₂²×D₄	#379	1	2	yes	—
674	C₂²×D₄	#379	1	2	yes	—
675	C₂²×D₄	#379	1	2	yes	—
676	C₂²×D₄	#379	1	16	yes	complemented
677	C₂²×D₄	#379	1	16	yes	complemented
678	C₂²×D₄	#379	1	8	yes	complemented
679	C₂²×D₄	#379	1	8	yes	complemented
680	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
681	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
682	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
683	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
684	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
685	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
686	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
687	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
688	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
689	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
690	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
691	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
692	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
693	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
694	C₂²×D₄	C₂×#120	1	16	yes	—
695	C₂²×D₄	C₂×#120	1	16	yes	—
696	C₂²×D₄	C₂×#120	1	1	yes	characteristic
697	C₂²×D₄	C₂×#120	1	2	yes	—
698	C₂²×D₄	C₂×#120	1	8	yes	—
699	C₂²×D₄	C₂×#120	1	1	yes	characteristic
700	C₂²×D₄	C₂×#120	1	1	yes	characteristic
701	C₂²×D₄	C₂×#120	1	2	yes	—
702	C₂²×D₄	C₂×#120	1	2	yes	—
703	C₂²×D₄	C₂×#120	1	2	yes	—
704	C₂²×D₄	C₂×#120	1	1	yes	characteristic
705	C₂²×D₄	C₂×#120	1	1	yes	characteristic
706	C₂²×D₄	C₂×#120	1	2	yes	—
707	C₂²×D₄	C₂×#120	1	1	yes	characteristic
708	C₂²×D₄	C₂×#120	1	2	yes	—
709	C₂²×D₄	C₂×#120	1	2	yes	—
710	C₂²×D₄	C₂×#120	1	16	yes	—
711	C₂²×D₄	C₂×#120	1	2	yes	—
712	C₂²×D₄	C₂×#120	1	2	yes	—
713	C₂²×D₄	C₂×#120	1	16	yes	—
714	C₂²×D₄	C₂×#120	1	8	yes	—
715	C₂²×D₄	C₂⁴×C₄	1	1	yes	characteristic
716	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
717	C₂²×D₄	C₂³×D₄	1	8	yes	—
718	C₂²×D₄	C₂³×D₄	1	2	yes	—
719	C₂³×C₄	#379	1	1	yes	characteristic
720	C₂³×C₄	#379	1	1	yes	characteristic
721	C₂³×C₄	#379	1	2	yes	—
722	C₂³×C₄	#379	1	1	yes	characteristic
723	C₂³×C₄	#379	1	2	yes	—
724	C₂³×C₄	#379	1	1	yes	characteristic
725	C₂³×C₄	#379	1	1	yes	characteristic
726	C₂³×C₄	#379	1	2	yes	—
727	C₂³×C₄	#379	1	2	yes	—
728	C₂³×C₄	#379	1	2	yes	—
729	C₂³×C₄	#379	1	2	yes	—
730	C₂³×C₄	#379	1	2	yes	—
731	C₂³×C₄	#379	1	1	yes	characteristic
732	C₂³×C₄	#379	1	16	yes	complemented
733	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
734	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
735	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
736	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
737	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
738	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
739	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
740	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
741	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
742	C₂³×C₄	C₂×#120	1	1	yes	characteristic
743	C₂³×C₄	C₂×#120	1	1	yes	characteristic
744	C₂³×C₄	C₂×#120	1	1	yes	characteristic
745	C₂³×C₄	C₂×#120	1	2	yes	—
746	C₂³×C₄	C₂×#120	1	2	yes	—
747	C₂³×C₄	C₂×#120	1	2	yes	—
748	C₂³×C₄	C₂×#120	1	2	yes	—
749	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
750	C₄⋊Q₈	#379	1	8	yes	complemented
751	#127	#379	1	8	yes	complemented
752	#127	#379	1	8	yes	complemented
753	#127	#379	1	8	yes	complemented
754	#127	C₂²×C₂²⋊C₄	1	8	yes	—
755	#127	C₂²×C₂²⋊C₄	1	8	yes	—
756	#127	C₂²×C₂²⋊C₄	1	8	yes	—
757	#127	C₂×#120	1	8	yes	—
758	#127	C₂×#120	1	8	yes	—
759	#127	C₂×#120	1	8	yes	—
760	#124	#379	1	8	yes	complemented
761	#124	#379	1	8	yes	complemented
762	#124	#379	1	8	yes	complemented
763	#124	#379	1	8	yes	complemented
764	#124	C₂²×C₂²⋊C₄	1	8	yes	—
765	#124	C₂×#120	1	8	yes	—
766	#123	#379	1	16	yes	complemented
767	#123	#379	1	16	yes	complemented
768	#123	C₂²×C₂²⋊C₄	1	16	yes	—
769	#123	C₂×#120	1	16	yes	—
770	#120	#379	1	16	yes	complemented
771	#120	#379	1	16	yes	complemented
772	#120	#379	1	16	yes	complemented
773	#120	#379	1	16	yes	complemented
774	#120	#379	1	16	yes	complemented
775	#120	#379	1	16	yes	complemented
776	#120	C₂²×C₂²⋊C₄	1	16	yes	—
777	#120	C₂²×C₂²⋊C₄	1	16	yes	—
778	#120	C₂²×C₂²⋊C₄	1	16	yes	—
779	#120	C₂×#120	1	16	yes	—
780	#120	C₂×#120	1	16	yes	—
781	#120	C₂×#120	1	16	yes	—
782	#117	#379	1	16	yes	complemented
783	#117	#379	1	16	yes	complemented
784	#117	#379	1	8	yes	complemented
785	#117	#379	1	8	yes	complemented
786	#117	C₂×#120	1	8	yes	—
787	C₂×C₂²⋊C₄	#379	1	16	yes	complemented
788	C₂×C₂²⋊C₄	#379	1	16	yes	complemented
789	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
791	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
794	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
795	C₂×C₄²	#379	1	8	yes	complemented
796	C₂×C₄²	#379	1	8	yes	complemented
797	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
798	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
799	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
800	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
801	C₂×C₄²	C₂×#120	1	8	yes	—
802	C₂⁴	C₂×#379	1	1	yes	characteristic
803	C₂⁴	C₂×#379	1	2	yes	—
804	C₂⁴	C₂×#379	1	1	yes	characteristic
805	C₂⁴	C₂×#379	1	2	yes	—
806	C₂⁴	C₂×#379	1	2	yes	—
807	C₂⁴	C₂×#379	1	1	yes	characteristic
808	C₂⁴	C₂×#379	1	1	yes	characteristic
809	C₂⁴	C₂×#379	1	2	yes	—
810	C₂⁴	C₂×#379	1	1	yes	characteristic
811	C₂⁴	C₂×#379	1	1	yes	characteristic
812	C₂⁴	C₂×#379	1	8	yes	—
813	C₂⁴	C₂×#379	1	8	yes	—
814	C₂⁴	C₂×#379	1	8	yes	—
815	C₂⁴	C₂×#379	1	8	yes	—
816	C₂⁴	#2846	1	8	yes	—
817	C₂⁴	#3026	1	4	yes	—
818	C₂⁴	C₂³×C₂²⋊C₄	1	2	yes	—
819	C₂⁴	C₂²×#120	1	2	yes	—
820	C₂⁴	C₂²×#120	1	8	yes	—
821	C₂⁴	C₂²×#120	1	1	yes	characteristic
822	C₂×Q₈	C₂×#379	1	4	yes	—
823	C₂×Q₈	C₂×#379	1	4	yes	—
824	C₂×Q₈	#2846	1	4	yes	—
825	C₂×D₄	C₂×#379	1	8	yes	—
826	C₂×D₄	C₂×#379	1	8	yes	—
827	C₂×D₄	C₂×#379	1	4	yes	—
828	C₂×D₄	C₂×#379	1	4	yes	—
829	C₂×D₄	C₂×#379	1	4	yes	—
830	C₂×D₄	C₂×#379	1	4	yes	—
831	C₂×D₄	#2846	1	4	yes	—
832	C₂×D₄	#2846	1	4	yes	—
833	C₂×D₄	#2846	1	8	yes	—
834	C₂×D₄	#2846	1	4	yes	—
835	C₂×D₄	#2846	1	8	yes	—
836	C₂×D₄	#2846	1	8	yes	—
837	C₂×D₄	#3026	1	4	yes	—
838	C₂×D₄	C₂³×C₂²⋊C₄	1	4	yes	—
839	C₂×D₄	C₂²×#120	1	8	yes	—
840	C₂×D₄	C₂²×#120	1	4	yes	—
841	C₂²×C₄	C₂×#379	1	1	yes	characteristic
842	C₂²×C₄	C₂×#379	1	1	yes	characteristic
843	C₂²×C₄	C₂×#379	1	1	yes	characteristic
844	C₂²×C₄	C₂×#379	1	2	yes	—
845	C₂²×C₄	C₂×#379	1	1	yes	characteristic
846	C₂²×C₄	C₂×#379	1	1	yes	characteristic
847	C₂²×C₄	C₂×#379	1	2	yes	—
848	C₂²×C₄	C₂×#379	1	1	yes	characteristic
849	C₂²×C₄	C₂×#379	1	8	yes	—
850	C₂²×C₄	C₂×#379	1	8	yes	—
851	C₂²×C₄	C₂×#379	1	4	yes	—
852	C₂²×C₄	C₂×#379	1	4	yes	—
853	C₂²×C₄	#2846	1	8	yes	—
854	C₂²×C₄	#2846	1	8	yes	—
855	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
856	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
857	C₂²×C₄	C₂²×#120	1	4	yes	—
858	C₂²⋊C₄	C₂×#379	1	8	yes	—
859	C₂²⋊C₄	C₂×#379	1	8	yes	—
860	C₂²⋊C₄	C₂×#379	1	8	yes	—
861	C₂²⋊C₄	C₂×#379	1	8	yes	—
862	C₄²	C₂×#379	1	4	yes	—
863	C₄²	C₂×#379	1	4	yes	—
864	C₄²	C₂×#379	1	4	yes	—
865	C₄²	C₂×#379	1	4	yes	—
866	C₂³	#14679	1	2	yes	—
867	C₂³	#14679	1	4	yes	—
868	C₂³	#14679	1	2	yes	—
869	C₂³	#20609	1	2	yes	—
870	C₂³	#20609	1	2	yes	—
871	C₂³	#20609	1	2	yes	—
872	C₂³	C₂²×#379	1	1	yes	characteristic
873	C₂³	C₂²×#379	1	4	yes	—
874	C₂³	C₂×#2846	1	4	yes	—
875	C₂³	C₂×#2846	1	2	yes	—
876	C₂³	C₂×#3026	1	2	yes	—
877	C₂³	C₂×#3026	1	2	yes	—
878	C₂×C₄	#14679	1	2	yes	—
879	C₂×C₄	#14679	1	4	yes	—
880	C₂×C₄	#14679	1	2	yes	—
881	C₂×C₄	#20609	1	2	yes	—
882	C₂×C₄	C₂²×#379	1	2	yes	—
883	C₂×C₄	C₂×#2846	1	2	yes	—
884	C₂²	#493635	1	4	yes	complemented
885	C₂²	C₂×#14679	1	1	yes	characteristic
886	C₂²	C₂×#20609	1	1	yes	characteristic
887	C₂²	C₂×#20609	1	1	yes	characteristic
888	C₂²	#6628892	1	4	yes	—
889	C₂	C₂×#493635	1	2	yes	—
890	C₂	#72240568	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×#20609
commutator	C₂²×D₄	C₂⁴×C₄
Frattini, cosocle	C₂³×D₄	C₂⁵
prime radical	C₂²×#63011	C₂
LCS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁵ ◁ C₂³×H(5,𝔽₂) ◁ G
LECS	G ▷ C₂³×D₄ ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72262262	C₂	semidirect
2. #72262261	C₂	semidirect
3. #72252021	C₂	semidirect
4. C₂×#493635	C₂	semidirect
5. #72232863	C₂	semidirect
7. #72231692	C₂	semidirect
8. #72219302	C₂	semidirect
9. #72219301	C₂	semidirect
10. #72218980	C₂	semidirect
11. C₂×#63011	C₄	semidirect
12. C₂×#63011	C₄	semidirect
15. C₂²×#3549	C₄	semidirect
16. C₂²×#3543	C₄	semidirect
18. C₂²×#3537	C₄	semidirect
19. C₂²×#3532	C₄	semidirect
23. C₂²×#3481	C₄	semidirect
24. C₂³×D₄²	C₄	semidirect
26. C₂×#33359	C₂²	semidirect
27. C₂×#33348	C₂²	semidirect
28. C₂×#21782	C₂²	semidirect
29. C₂×#21776	C₂²	semidirect
30. #6370704	C₂²	semidirect
31. #6370693	C₂²	semidirect
32. #6370693	C₂²	semidirect
33. C₂×#12767	C₂²	semidirect
34. C₂×#12759	C₂²	semidirect
35. C₂×#12753	C₂²	semidirect
36. #493430	C₂²	semidirect
37. #493424	C₂²	semidirect
38. #493370	C₂²	semidirect
39. C₂×#12693	C₂²	semidirect
40. #493357	C₂²	semidirect
41. C₂×#12687	C₂²	semidirect
42. #359601	C₂²	semidirect
43. #359591	C₂²	semidirect
44. #359509	C₂²	semidirect
45. #359501	C₂²	semidirect
46. #359458	C₂²	semidirect
47. #359442	C₂²	semidirect
69. C₂×#3549	C₂×C₄	semidirect
71. C₂×#3543	C₂×C₄	semidirect
72. C₂×#3543	C₂×C₄	semidirect
75. C₂×#3537	C₂×C₄	semidirect
77. C₂×#3532	C₂×C₄	semidirect
78. C₂×#3532	C₂×C₄	semidirect
81. C₂×#3481	C₂×C₄	semidirect
82. C₂²×#559	C₂×C₄	semidirect
83. C₂²×#551	C₂×C₄	semidirect
85. C₂²×D₄²	C₂×C₄	semidirect
86. C₂²×D₄²	C₂×C₄	semidirect
87. C₂²×D₄²	C₂×C₄	semidirect
88. C₂²×D₄²	C₂×C₄	semidirect
89. C₂²×D₄²	C₂×C₄	semidirect
90. C₂²×D₄²	C₂×C₄	semidirect
91. C₂²×D₄²	C₂×C₄	semidirect
93. C₂²×H(3,𝔽₄)	C₂×C₄	semidirect
94. C₂²×#560	C₂×C₄	semidirect
95. C₂²×#560	C₂×C₄	semidirect
122. C₂×#2888	C₂³	semidirect
123. C₂×#2883	C₂³	semidirect
124. C₂×#2883	C₂³	semidirect
125. C₂×#2883	C₂³	semidirect
126. #34171	C₂³	semidirect
127. C₂×#2127	C₂³	semidirect
128. C₂²×#353	C₂³	semidirect
129. C₂×#2121	C₂³	semidirect
130. C₂²×AΣL(1,𝔽₁₆)	C₂³	semidirect
131. C₂×#1913	C₂³	semidirect
132. C₂×#1911	C₂³	semidirect
133. C₂×#1889	C₂³	semidirect
134. C₂×#1887	C₂³	semidirect
135. #20592	C₂³	semidirect
136. C₂×#1783	C₂³	semidirect
137. #20585	C₂³	semidirect
138. C₂×#1781	C₂³	semidirect
139. C₂⁷	C₂²⋊C₄	semidirect
141. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
142. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
157. C₂³×#41	C₂²⋊C₄	semidirect
158. C₂³×#41	C₂²⋊C₄	semidirect
165. C₂⁴×D₄	C₂²⋊C₄	semidirect
166. C₂⁴×D₄	C₂²⋊C₄	semidirect
167. C₂⁴×D₄	C₂²⋊C₄	semidirect
168. C₂⁴×D₄	C₂²⋊C₄	semidirect
169. C₂⁴×D₄	C₂²⋊C₄	semidirect
170. C₂⁴×D₄	C₂²⋊C₄	semidirect
181. C₂⁵×C₄	C₂²⋊C₄	semidirect
182. #3549	C₂²⋊C₄	semidirect
183. #3543	C₂²⋊C₄	semidirect
185. #3537	C₂²⋊C₄	semidirect
186. #3532	C₂²⋊C₄	semidirect
193. #3481	C₂²⋊C₄	semidirect
196. C₂×D₄²	C₂²⋊C₄	semidirect
203. C₂×#535	C₂²⋊C₄	semidirect
204. C₂×#535	C₂²⋊C₄	semidirect
205. C₂×#535	C₂²⋊C₄	semidirect
206. C₂×#535	C₂²⋊C₄	semidirect
207. C₂×#535	C₂²⋊C₄	semidirect
208. C₂×#535	C₂²⋊C₄	semidirect
209. C₂×#535	C₂²⋊C₄	semidirect
210. C₂×#535	C₂²⋊C₄	semidirect
211. C₂×#535	C₂²⋊C₄	semidirect
212. C₂×#535	C₂²⋊C₄	semidirect
213. C₂×#535	C₂²⋊C₄	semidirect
214. C₂×#535	C₂²⋊C₄	semidirect
215. C₂×#535	C₂²⋊C₄	semidirect
216. C₂×#535	C₂²⋊C₄	semidirect
235. C₂×#534	C₂²⋊C₄	semidirect
236. C₂×#534	C₂²⋊C₄	semidirect
237. C₂×#534	C₂²⋊C₄	semidirect
238. C₂×#534	C₂²⋊C₄	semidirect
239. C₂×#534	C₂²⋊C₄	semidirect
240. C₂×#534	C₂²⋊C₄	semidirect
251. C₂×#532	C₂²⋊C₄	semidirect
252. C₂×#532	C₂²⋊C₄	semidirect
253. C₂×#532	C₂²⋊C₄	semidirect
254. C₂×#532	C₂²⋊C₄	semidirect
255. C₂×#532	C₂²⋊C₄	semidirect
256. C₂×#532	C₂²⋊C₄	semidirect
263. C₂²×C₄⋊Q₈	C₂²⋊C₄	semidirect
264. C₂²×#127	C₂²⋊C₄	semidirect
265. C₂²×#127	C₂²⋊C₄	semidirect
266. C₂²×#127	C₂²⋊C₄	semidirect
267. C₂²×#127	C₂²⋊C₄	semidirect
268. C₂²×#127	C₂²⋊C₄	semidirect
269. C₂²×#127	C₂²⋊C₄	semidirect
270. C₂²×#127	C₂²⋊C₄	semidirect
285. C₂²×#124	C₂²⋊C₄	semidirect
286. C₂²×#124	C₂²⋊C₄	semidirect
287. C₂²×#124	C₂²⋊C₄	semidirect
288. C₂²×#124	C₂²⋊C₄	semidirect
291. C₂×#525	C₂²⋊C₄	semidirect
292. C₂×#525	C₂²⋊C₄	semidirect
293. C₂×#525	C₂²⋊C₄	semidirect
294. C₂×#525	C₂²⋊C₄	semidirect
299. C₂²×#123	C₂²⋊C₄	semidirect
300. C₂²×#123	C₂²⋊C₄	semidirect
303. C₂²×#120	C₂²⋊C₄	semidirect
304. C₂²×#120	C₂²⋊C₄	semidirect
305. C₂²×#120	C₂²⋊C₄	semidirect
306. C₂²×#120	C₂²⋊C₄	semidirect
307. C₂²×#120	C₂²⋊C₄	semidirect
308. C₂²×#120	C₂²⋊C₄	semidirect
309. C₂²×#120	C₂²⋊C₄	semidirect
310. C₂²×#120	C₂²⋊C₄	semidirect
311. C₂²×#120	C₂²⋊C₄	semidirect
312. C₂²×#120	C₂²⋊C₄	semidirect
313. C₂²×#120	C₂²⋊C₄	semidirect
314. C₂²×#120	C₂²⋊C₄	semidirect
331. C₂×#518	C₂²⋊C₄	semidirect
332. C₂×#518	C₂²⋊C₄	semidirect
335. C₂×#518	C₂⁴	semidirect
336. C₂×C₄×#41	C₂²⋊C₄	semidirect
337. C₂×C₄×#41	C₂²⋊C₄	semidirect
340. C₂²×#117	C₂²⋊C₄	semidirect
341. C₂²×#117	C₂²⋊C₄	semidirect
342. C₂²×#117	C₂²⋊C₄	semidirect
343. C₂²×#117	C₂²⋊C₄	semidirect
345. C₂³×C₂²⋊C₄	C₂²⋊C₄	semidirect
346. C₂³×C₂²⋊C₄	C₂²⋊C₄	semidirect
349. C₂³×C₄²	C₂²⋊C₄	semidirect
350. C₂³×C₄²	C₂²⋊C₄	semidirect
352. C₂²×#100	C₂⁴	semidirect
353. C₂²×#99	C₂⁴	semidirect
488. H(3,𝔽₄)	C₂×C₂²⋊C₄	semidirect
489. #560	C₂×C₂²⋊C₄	semidirect
490. #560	C₂×C₂²⋊C₄	semidirect
491. #559	C₂×C₂²⋊C₄	semidirect
492. #551	C₂×C₂²⋊C₄	semidirect
493. D₄²	C₂×C₂²⋊C₄	semidirect
494. D₄²	C₂×C₂²⋊C₄	semidirect
495. D₄²	C₂×C₂²⋊C₄	semidirect
496. D₄²	C₂×C₂²⋊C₄	semidirect
497. D₄²	C₂×C₂²⋊C₄	semidirect
627. C₂⁵	#379	semidirect
643. C₂×#41	#379	semidirect
644. C₂×#41	#379	semidirect
676. C₂²×D₄	#379	semidirect
677. C₂²×D₄	#379	semidirect
678. C₂²×D₄	#379	semidirect
679. C₂²×D₄	#379	semidirect
732. C₂³×C₄	#379	semidirect
750. C₄⋊Q₈	#379	semidirect
751. #127	#379	semidirect
752. #127	#379	semidirect
753. #127	#379	semidirect
760. #124	#379	semidirect
761. #124	#379	semidirect
762. #124	#379	semidirect
763. #124	#379	semidirect
766. #123	#379	semidirect
767. #123	#379	semidirect
770. #120	#379	semidirect
771. #120	#379	semidirect
772. #120	#379	semidirect
773. #120	#379	semidirect
774. #120	#379	semidirect
775. #120	#379	semidirect
782. #117	#379	semidirect
783. #117	#379	semidirect
784. #117	#379	semidirect
785. #117	#379	semidirect
787. C₂×C₂²⋊C₄	#379	semidirect
788. C₂×C₂²⋊C₄	#379	semidirect
795. C₂×C₄²	#379	semidirect
796. C₂×C₄²	#379	semidirect
884. C₂²	#493635	semidirect

Maximal subgroups

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

subgroup	index
#72262262	2
#72262261	2
#72252021	2
C₂×#493635	2
#72232863	2
C₂²×#63011	2
#72231692	2
#72219302	2
#72219301	2
#72218980	2