Subgroups — #72316892

Order 2048.

At least 16813 conjugacy classes of subgroups; only the 2200 normal subgroups are shown.

The subgroup lattice has 1022 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72316876	C₂	1	1	yes	maximal, characteristic, complemented
2	#72316864	C₂	1	1	yes	maximal, characteristic, complemented
3	#72316856	C₂	1	1	yes	maximal, characteristic, complemented
4	#72316849	C₂	1	1	yes	maximal, characteristic, complemented
5	#72316846	C₂	1	1	yes	maximal, characteristic, complemented
6	#72316841	C₂	1	1	yes	maximal, characteristic, complemented
7	#72316838	C₂	1	1	yes	maximal, characteristic, complemented
8	#72316832	C₂	1	1	yes	maximal, characteristic, complemented
9	#72316823	C₂	1	2	yes	maximal, complemented
10	#72316818	C₂	1	2	yes	maximal, complemented
11	#72316813	C₂	1	2	yes	maximal, complemented
12	#72316808	C₂	1	2	yes	maximal, complemented
13	#72313195	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#23443	C₂	1	1	yes	maximal, characteristic, complemented
15	#72280894	C₂	1	1	yes	maximal, characteristic, complemented
16	#72280467	C₂	1	2	yes	maximal, complemented
17	#72280406	C₂	1	1	yes	maximal, characteristic, complemented
18	#72279346	C₂	1	2	yes	maximal, complemented
19	#72268516	C₂	1	1	yes	maximal, characteristic, complemented
20	#72256073	C₂	1	2	yes	maximal, complemented
21	#72240119	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#394108	C₂	1	2	yes	maximal, complemented
23	C₂×#393988	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#62811	C₂²	1	1	yes	characteristic
25	C₂×#62811	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#3449	C₂²	1	1	yes	characteristic, complemented
27	C₂³×#525	C₂²	1	1	yes	characteristic
28	C₂³×#525	C₂²	1	1	yes	characteristic
29	C₂³×#525	C₂²	1	1	yes	characteristic, complemented
30	C₂×#60387	C₂²	1	2	yes	complemented
31	C₂×#60359	C₂²	1	1	yes	characteristic
32	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
33	C₂×#60359	C₂²	1	2	yes	complemented
34	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
35	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
36	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
37	C₂×#36614	C₂²	1	1	yes	characteristic
38	#7629144	C₂²	1	1	yes	characteristic, complemented
39	#7629122	C₂²	1	1	yes	characteristic, complemented
40	#7629122	C₂²	1	1	yes	characteristic, complemented
41	#7629120	C₂²	1	1	yes	characteristic, complemented
42	#7628650	C₂²	1	1	yes	characteristic
43	#7628650	C₂²	1	1	yes	characteristic, complemented
44	#7628649	C₂²	1	1	yes	characteristic
45	#7628649	C₂²	1	1	yes	characteristic, complemented
46	#7625530	C₂²	1	1	yes	characteristic
47	#7625530	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#2280	C₂²	1	1	yes	characteristic, complemented
49	C₂×#23443	C₂²	1	2	yes	—
50	C₂×#23443	C₂²	1	2	yes	complemented
51	C₂×#23443	C₂²	1	2	yes	complemented
52	C₂×#23443	C₂²	1	2	yes	complemented
53	C₂×#23414	C₂²	1	2	yes	complemented
54	C₂×#23414	C₂²	1	2	yes	complemented
55	C₂²×#2010	C₂²	1	2	yes	complemented
56	C₂²×#2010	C₂²	1	2	yes	complemented
57	C₂×#23412	C₂²	1	2	yes	complemented
58	#6431722	C₂²	1	2	yes	complemented
59	#6431722	C₂²	1	2	yes	complemented
60	#6431698	C₂²	1	2	yes	complemented
61	#6431698	C₂²	1	2	yes	complemented
62	C₂×#21000	C₂²	1	2	yes	complemented
63	C₂×#20979	C₂²	1	1	yes	characteristic
64	C₂×#20979	C₂²	1	1	yes	characteristic
65	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
66	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
67	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
68	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
69	#6371454	C₂²	1	2	yes	complemented
70	#6371380	C₂²	1	1	yes	characteristic
71	#6371380	C₂²	1	2	yes	complemented
72	#6371380	C₂²	1	1	yes	characteristic, complemented
73	#6371380	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20620	C₂²	1	2	yes	complemented
75	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20605	C₂²	1	2	yes	complemented
77	C₂×#20591	C₂²	1	1	yes	characteristic, complemented
78	#6370684	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20579	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20579	C₂²	1	1	yes	characteristic, complemented
81	C₂²×#1740	C₂²	1	1	yes	characteristic, complemented
82	#357773	C₂²	1	2	yes	complemented
83	#357709	C₂²	1	2	yes	complemented
84	#357593	C₂²	1	2	yes	complemented
85	#357586	C₂²	1	2	yes	complemented
86	#357577	C₂²	1	2	yes	complemented
87	C₂×#11003	C₂²	1	2	yes	complemented
88	C₂×#11000	C₂²	1	2	yes	complemented
89	C₂×#11000	C₂²	1	2	yes	complemented
90	#357556	C₂²	1	2	yes	complemented
91	#357556	C₂²	1	2	yes	complemented
92	#357548	C₂²	1	2	yes	complemented
93	#357548	C₂²	1	2	yes	complemented
94	C₂×#10994	C₂²	1	2	yes	complemented
95	C₂×#10994	C₂²	1	2	yes	complemented
96	C₂×#10994	C₂²	1	2	yes	complemented
97	C₂×#10994	C₂²	1	2	yes	complemented
98	C₂×#10993	C₂²	1	2	yes	complemented
99	C₂×#10993	C₂²	1	2	yes	complemented
100	C₂×#10993	C₂²	1	2	yes	complemented
101	C₂×#10993	C₂²	1	2	yes	complemented
102	#357440	C₂²	1	2	yes	complemented
103	#357440	C₂²	1	2	yes	complemented
104	#354116	C₂²	1	2	yes	complemented
105	#353444	C₂²	1	2	yes	complemented
106	C₂×#10738	C₂²	1	1	yes	characteristic, complemented
107	C₂×#10738	C₂²	1	1	yes	characteristic, complemented
108	#353400	C₂²	1	2	yes	complemented
109	#353400	C₂²	1	1	yes	characteristic, complemented
110	C₂×#10792	C₂²	1	2	yes	complemented
111	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
112	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
113	#124003	C₂²	1	2	yes	complemented
114	#123962	C₂²	1	2	yes	complemented
115	#123610	C₂²	1	2	yes	complemented
116	#123603	C₂²	1	2	yes	complemented
117	#123568	C₂²	1	2	yes	complemented
118	#123536	C₂²	1	2	yes	complemented
119	#123536	C₂²	1	2	yes	complemented
120	#123531	C₂²	1	2	yes	complemented
121	#123531	C₂²	1	2	yes	complemented
122	#123457	C₂²	1	2	yes	complemented
123	C₂²×#585	C₂³	1	1	yes	characteristic
124	C₂⁴×#41	C₂³	1	1	yes	characteristic
125	C₂⁴×#41	C₂³	1	1	yes	characteristic
126	C₂⁴×#41	C₂³	1	1	yes	characteristic
127	C₂⁶×C₄	C₂³	1	1	yes	characteristic
128	C₂²×#575	C₂³	1	2	yes	—
129	C₂²×#575	C₂³	1	2	yes	—
130	C₂²×#575	C₂³	1	2	yes	—
131	C₂×#3487	D₄	1	2	yes	complemented
132	C₂×#3486	D₄	1	2	yes	complemented
133	C₂×#3485	D₄	1	2	yes	complemented
134	C₂×#3484	D₄	1	2	yes	complemented
135	C₂×#3449	C₂³	1	1	yes	characteristic
136	C₂×#3449	C₂³	1	1	yes	characteristic
137	C₂×#3449	C₂³	1	1	yes	characteristic
138	C₂×#3449	C₂³	1	2	yes	—
139	C₂×#3449	C₂³	1	2	yes	—
140	C₂×#3449	C₂³	1	1	yes	characteristic
141	C₂×#3449	C₂³	1	1	yes	characteristic
142	C₂²×#525	D₄	1	2	yes	—
143	C₂²×#525	D₄	1	2	yes	—
144	C₂²×#525	D₄	1	2	yes	complemented
145	C₂²×#525	D₄	1	2	yes	complemented
146	C₂²×#525	C₂³	1	1	yes	characteristic
147	C₂²×#525	C₂³	1	1	yes	characteristic
148	C₂²×#525	C₂³	1	1	yes	characteristic
149	C₂²×#525	C₂³	1	1	yes	characteristic
150	C₂²×#525	C₂³	1	1	yes	characteristic
151	C₂²×#525	C₂³	1	1	yes	characteristic
152	C₂²×#525	C₂³	1	1	yes	characteristic
153	C₂²×#525	C₂³	1	1	yes	characteristic
154	C₂²×#525	C₂³	1	2	yes	—
155	C₂²×#525	C₂³	1	2	yes	—
156	C₂²×#525	C₂³	1	1	yes	characteristic
157	C₂²×#525	C₂³	1	1	yes	characteristic
158	C₂²×#525	C₂³	1	1	yes	characteristic
159	C₂³×#123	D₄	1	2	yes	—
160	C₂³×C₂²⋊Q₈	D₄	1	2	yes	complemented
161	C₂³×#121	D₄	1	2	yes	complemented
162	C₂³×#120	D₄	1	2	yes	—
163	C₂×#3428	C₂³	1	1	yes	characteristic
164	C₂×#3428	C₂³	1	1	yes	characteristic
165	C₂³×#117	C₂³	1	1	yes	characteristic
166	C₂³×#117	C₂³	1	1	yes	characteristic
167	C₂³×#117	C₂³	1	1	yes	characteristic
168	C₂³×#117	C₂³	1	1	yes	characteristic
169	C₂³×#117	C₂³	1	1	yes	characteristic
170	C₂×#3005	D₄	1	4	yes	complemented
171	C₂×#3004	D₄	1	2	yes	complemented
172	C₂×#3003	D₄	1	2	yes	complemented
173	C₂²×#421	C₂³	1	2	yes	—
174	C₂²×#421	C₂³	1	2	yes	—
175	C₂²×#421	C₂³	1	2	yes	—
176	C₂²×#421	C₂³	1	2	yes	—
177	C₂²×#421	C₂³	1	2	yes	—
178	C₂²×#421	C₂³	1	2	yes	—
179	C₂²×#421	C₂³	1	2	yes	—
180	C₂²×#421	C₂³	1	2	yes	—
181	C₂×#2896	C₂³	1	2	yes	—
182	C₂×#2896	C₂³	1	2	yes	—
183	C₂×#2896	C₂³	1	2	yes	—
184	C₂×#2896	C₂³	1	2	yes	—
185	C₂×#2896	C₂³	1	2	yes	—
186	C₂×#2896	C₂³	1	2	yes	—
187	C₂²×#413	C₂³	1	2	yes	—
188	C₂²×#413	C₂³	1	2	yes	—
189	C₂²×#410	C₂³	1	2	yes	—
190	C₂²×#410	C₂³	1	2	yes	—
191	C₂²×#410	C₂³	1	2	yes	—
192	C₂²×#410	C₂³	1	2	yes	—
193	C₂×#2879	C₂³	1	2	yes	—
194	C₂×#2879	C₂³	1	2	yes	—
195	C₂²×#407	C₂³	1	2	yes	—
196	C₂²×#407	C₂³	1	2	yes	—
197	C₂²×#407	C₂³	1	2	yes	—
198	C₂²×#407	C₂³	1	2	yes	—
199	C₂²×#407	C₂³	1	1	yes	characteristic
200	C₂²×#407	C₂³	1	1	yes	characteristic
201	C₂²×#407	C₂³	1	1	yes	characteristic
202	C₂²×#407	C₂³	1	1	yes	characteristic
203	#36614	D₄	1	4	yes	complemented
204	#36614	D₄	1	4	yes	complemented
205	#36614	D₄	1	4	yes	complemented
206	#35306	D₄	1	4	yes	complemented
207	#35252	D₄	1	4	yes	complemented
208	#34632	D₄	1	4	yes	complemented
209	#34136	D₄	1	8	yes	complemented
210	#34052	C₂³	1	1	yes	characteristic
211	#34052	C₂³	1	1	yes	characteristic
212	#34044	C₂³	1	1	yes	characteristic
213	#34044	C₂³	1	1	yes	characteristic
214	#34044	C₂³	1	1	yes	characteristic
215	#34044	C₂³	1	1	yes	characteristic
216	#34044	C₂³	1	1	yes	characteristic
217	C₂×#2280	C₂³	1	1	yes	characteristic
218	C₂×#2280	C₂³	1	1	yes	characteristic
219	C₂×#2280	C₂³	1	2	yes	—
220	C₂×#2280	C₂³	1	2	yes	—
221	C₂×#2280	C₂³	1	1	yes	characteristic
222	#33996	C₂³	1	1	yes	characteristic
223	#23443	D₄	1	16	yes	complemented
224	C₂×#1897	D₄	1	4	yes	complemented
225	C₂×#1896	D₄	1	4	yes	complemented
226	#20908	D₄	1	8	yes	complemented
227	C₂²×#344	C₂³	1	2	yes	—
228	C₂²×#344	C₂³	1	2	yes	—
229	C₂²×#344	C₂³	1	2	yes	—
230	C₂²×#344	C₂³	1	2	yes	—
231	C₂×#1740	C₂³	1	2	yes	—
232	C₂×#1740	C₂³	1	2	yes	—
233	#20347	C₂³	1	2	yes	—
234	#20347	C₂³	1	2	yes	—
235	#20347	C₂³	1	2	yes	—
236	C₂×#1733	C₂³	1	2	yes	—
237	C₂×#1733	C₂³	1	2	yes	—
238	C₂×#1733	C₂³	1	2	yes	—
239	C₂×#1733	C₂³	1	2	yes	—
240	C₂×#1733	C₂³	1	2	yes	—
241	C₂×#1733	C₂³	1	2	yes	—
242	C₂×#1733	C₂³	1	2	yes	—
243	C₂×#1733	C₂³	1	2	yes	—
244	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
245	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
246	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
247	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
248	C₂⁷	C₂×D₄	1	1	yes	characteristic
249	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	complemented
250	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
251	C₂³×#41	C₂×D₄	1	1	yes	characteristic
252	C₂³×#41	C₂×D₄	1	1	yes	characteristic
253	C₂³×#41	C₂×D₄	1	2	yes	—
254	C₂³×#41	C₂×D₄	1	2	yes	—
255	C₂³×#41	C₂×D₄	1	2	yes	complemented
256	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
257	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
258	C₂³×#41	C₂⁴	1	1	yes	characteristic
259	C₂³×#41	C₂⁴	1	1	yes	characteristic
260	C₂³×#41	C₂⁴	1	2	yes	—
261	C₂³×#41	C₂⁴	1	1	yes	characteristic
262	C₂³×#41	C₂⁴	1	1	yes	characteristic
263	C₂³×#41	C₂⁴	1	1	yes	characteristic
264	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
265	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
266	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
267	C₂⁴×D₄	C₂×D₄	1	2	yes	—
268	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
269	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
270	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
271	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
272	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
273	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
274	C₂⁵×C₄	C₂×D₄	1	2	yes	—
275	C₂⁵×C₄	C₂×D₄	1	2	yes	—
276	C₂⁵×C₄	C₂×D₄	1	2	yes	—
277	C₂⁵×C₄	C₂×D₄	1	2	yes	—
278	C₂⁵×C₄	C₂×D₄	1	2	yes	—
279	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
280	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
281	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
282	C₂²×#137	C₂×D₄	1	4	yes	complemented
283	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
284	C₂³×M₁₆	C₂⁴	1	2	yes	—
285	C₂³×M₁₆	C₂⁴	1	2	yes	—
286	C₂³×M₁₆	C₂⁴	1	2	yes	—
287	C₂³×M₁₆	C₂⁴	1	2	yes	—
288	#3449	C₂×D₄	1	8	yes	complemented
289	C₂×#536	C₂×D₄	1	2	yes	complemented
290	C₂×#536	C₂×D₄	1	2	yes	complemented
291	C₂×#536	C₂×D₄	1	2	yes	complemented
292	C₂×#535	C₂×D₄	1	2	yes	complemented
293	C₂×#535	C₂×D₄	1	2	yes	complemented
294	C₂×#535	C₂×D₄	1	2	yes	complemented
295	C₂×#525	C₂×D₄	1	2	yes	—
296	C₂×#525	C₂×D₄	1	2	yes	—
297	C₂×#525	C₂×D₄	1	2	yes	—
298	C₂×#525	C₂×D₄	1	4	yes	—
299	C₂×#525	C₂×D₄	1	2	yes	—
300	C₂×#525	C₂×D₄	1	4	yes	—
301	C₂×#525	C₂×D₄	1	2	yes	—
302	C₂×#525	C₂×D₄	1	2	yes	—
303	C₂×#525	C₂×D₄	1	2	yes	—
304	C₂×#525	C₂×D₄	1	2	yes	—
305	C₂×#525	C₂×D₄	1	4	yes	—
306	C₂×#525	C₂×D₄	1	4	yes	—
307	C₂×#525	C₂×D₄	1	2	yes	—
308	C₂×#525	C₂×D₄	1	2	yes	—
309	C₂×#525	C₂×D₄	1	8	yes	—
310	C₂×#525	C₂×D₄	1	2	yes	complemented
311	C₂×#525	C₂×D₄	1	2	yes	complemented
312	C₂×#525	C₂×D₄	1	4	yes	complemented
313	C₂×#525	C₂×D₄	1	4	yes	complemented
314	C₂×#525	C₂×D₄	1	4	yes	complemented
315	C₂×#525	C₂×D₄	1	8	yes	complemented
316	C₂×#525	#41	1	4	yes	—
317	C₂²×#123	C₂×D₄	1	2	yes	—
318	C₂²×#123	C₂×D₄	1	2	yes	—
319	C₂²×#123	C₂×D₄	1	2	yes	—
320	C₂²×#123	C₂×D₄	1	2	yes	—
321	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
322	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
323	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
324	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
325	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
326	C₂²×#121	C₂×D₄	1	2	yes	—
327	C₂²×#121	C₂×D₄	1	2	yes	—
328	C₂²×#121	C₂×D₄	1	2	yes	—
329	C₂²×#121	C₂×D₄	1	2	yes	complemented
330	C₂²×#121	C₂×D₄	1	2	yes	complemented
331	C₂²×#120	C₂×D₄	1	2	yes	—
332	C₂²×#120	C₂×D₄	1	2	yes	—
333	C₂²×#120	C₂×D₄	1	2	yes	—
334	C₂²×#120	C₂×D₄	1	2	yes	—
335	C₂×#519	C₂×D₄	1	2	yes	complemented
336	C₂×#518	C₂×D₄	1	2	yes	complemented
337	C₂×C₄×#41	C₂×D₄	1	4	yes	complemented
338	C₂²×#117	C₂×D₄	1	4	yes	—
339	C₂²×#117	C₂×D₄	1	4	yes	—
340	C₂²×#117	C₂×D₄	1	2	yes	—
341	C₂²×#117	C₂×D₄	1	2	yes	complemented
342	C₂²×#117	C₂×D₄	1	4	yes	complemented
343	C₂²×#117	C₂×D₄	1	2	yes	complemented
344	C₂²×#117	C₂⁴	1	2	yes	—
345	C₂²×#117	C₂⁴	1	1	yes	characteristic
346	C₂²×#117	C₂⁴	1	1	yes	characteristic
347	C₂²×#117	C₂⁴	1	2	yes	—
348	C₂²×#117	C₂⁴	1	2	yes	—
349	C₂²×#117	C₂⁴	1	1	yes	characteristic
350	C₂²×#117	C₂⁴	1	1	yes	characteristic
351	C₂²×#117	C₂⁴	1	1	yes	characteristic
352	C₂²×#117	C₂⁴	1	1	yes	characteristic
353	C₂²×#117	C₂⁴	1	1	yes	characteristic
354	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	complemented
355	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
356	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
357	C₂²×#104	C₂×D₄	1	8	yes	complemented
358	C₂×#419	C₂×D₄	1	4	yes	complemented
359	C₂×#418	C₂×D₄	1	4	yes	complemented
360	C₂×#416	C₂×D₄	1	8	yes	complemented
361	C₂×#410	C₂×D₄	1	8	yes	complemented
362	C₂×#410	C₂×D₄	1	8	yes	complemented
363	C₂×#407	C₂×D₄	1	2	yes	complemented
364	C₂×#407	C₂×D₄	1	2	yes	complemented
365	C₂×#407	C₂×D₄	1	2	yes	complemented
366	C₂×#407	C₂×D₄	1	2	yes	complemented
367	C₂²×C₂²⋊C₈	C₂×D₄	1	4	yes	complemented
368	#2317	C₂×D₄	1	4	yes	complemented
369	#2311	C₂×D₄	1	4	yes	complemented
370	#2310	C₂×D₄	1	2	yes	complemented
371	#2309	C₂×D₄	1	2	yes	complemented
372	#2297	C₂×D₄	1	4	yes	complemented
373	#2296	C₂×D₄	1	4	yes	complemented
374	#2280	C₂×D₄	1	2	yes	—
375	#2280	C₂×D₄	1	2	yes	—
376	#2280	C₂×D₄	1	4	yes	—
377	#2280	C₂×D₄	1	2	yes	complemented
378	#2280	C₂×D₄	1	2	yes	complemented
379	#2280	C₂×D₄	1	4	yes	complemented
380	#2280	C₂×D₄	1	4	yes	complemented
381	#2280	C₂×D₄	1	4	yes	complemented
382	#2280	C₂×D₄	1	8	yes	complemented
383	C₄×#117	C₂×D₄	1	4	yes	complemented
384	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	4	yes	—
385	#1740	C₂×D₄	1	8	yes	complemented
386	#1735	C₂×D₄	1	8	yes	complemented
387	C₂×#339	C₂×D₄	1	8	yes	complemented
388	C₂⁶	#120	1	2	yes	—
389	C₂⁶	#120	1	2	yes	—
390	C₂⁶	#120	1	2	yes	—
391	C₂⁶	C₂²×D₄	1	1	yes	characteristic
392	C₂⁶	C₂²×D₄	1	1	yes	characteristic
393	C₂⁶	C₂²×D₄	1	1	yes	characteristic
394	C₂²×#41	C₂²×D₄	1	2	yes	—
395	C₂²×#41	C₂²×D₄	1	2	yes	—
396	C₂²×#41	C₂²×D₄	1	2	yes	—
397	C₂²×#41	C₂²×D₄	1	2	yes	—
398	C₂²×#41	C₂²×D₄	1	2	yes	—
399	C₂²×#41	C₂²×D₄	1	2	yes	—
400	C₂²×#41	C₂²×D₄	1	2	yes	—
401	C₂²×#41	C₂²×D₄	1	2	yes	—
402	C₂²×#41	C₂²×D₄	1	2	yes	—
403	C₂²×#41	C₂²×D₄	1	4	yes	—
404	C₂²×#41	C₂²×D₄	1	4	yes	—
405	C₂²×#41	C₂×#41	1	2	yes	—
406	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
407	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
408	C₂³×Q₈	#120	1	2	yes	—
409	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
410	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
411	C₂³×Q₈	C₂²×D₄	1	2	yes	—
412	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
413	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
414	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
415	C₂³×D₄	#120	1	2	yes	—
416	C₂³×D₄	#120	1	2	yes	—
417	C₂³×D₄	#120	1	2	yes	—
418	C₂³×D₄	C₂²×D₄	1	2	yes	—
419	C₂³×D₄	C₂²×D₄	1	2	yes	—
420	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
421	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
422	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
423	C₂³×D₄	C₂²×D₄	1	2	yes	—
424	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
425	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
426	C₂⁴×C₄	#120	1	2	yes	—
427	C₂⁴×C₄	#120	1	2	yes	—
428	C₂⁴×C₄	#120	1	2	yes	—
429	C₂⁴×C₄	#120	1	2	yes	—
430	C₂⁴×C₄	#120	1	2	yes	—
431	C₂⁴×C₄	#120	1	2	yes	—
432	C₂⁴×C₄	#120	1	2	yes	—
433	C₂⁴×C₄	#120	1	2	yes	—
434	C₂⁴×C₄	#120	1	2	yes	—
435	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
436	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
437	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
438	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
439	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
440	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
441	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
442	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
443	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
444	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
445	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
446	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
447	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
448	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
449	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
450	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
451	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
452	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
453	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
454	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
455	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
456	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
457	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
458	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
459	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
460	C₂⁴×C₄	C₂×#41	1	2	yes	—
461	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
462	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
463	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
464	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
465	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
466	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
467	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
468	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
469	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
470	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
471	C₂³×C₈	C₂²×D₄	1	4	yes	—
472	#525	#120	1	4	yes	—
473	#525	#120	1	4	yes	—
474	#525	#120	1	4	yes	—
475	#525	#120	1	4	yes	—
476	#525	#121	1	8	yes	—
477	#525	#121	1	8	yes	—
478	#525	#121	1	8	yes	—
479	#525	#121	1	8	yes	—
480	#525	#127	1	8	yes	—
481	#525	#127	1	8	yes	—
482	C₂×#123	#120	1	8	yes	—
483	C₂×C₂²⋊Q₈	#120	1	4	yes	—
484	C₂×C₂²⋊Q₈	#120	1	4	yes	—
485	C₂×C₂²⋊Q₈	#120	1	4	yes	—
486	C₂×C₂²⋊Q₈	#120	1	4	yes	—
487	C₂×C₂²⋊Q₈	#120	1	4	yes	—
488	C₂×C₂²⋊Q₈	#120	1	4	yes	—
489	C₂×C₂²⋊Q₈	#120	1	4	yes	—
490	C₂×C₂²⋊Q₈	#120	1	4	yes	—
491	C₂×C₂²⋊Q₈	#121	1	4	yes	—
492	C₂×C₂²⋊Q₈	#121	1	4	yes	—
493	C₂×#121	#120	1	4	yes	—
494	C₂×#121	#120	1	4	yes	—
495	C₂×#121	#120	1	4	yes	—
496	C₂×#121	#120	1	4	yes	—
497	C₂×#121	#120	1	4	yes	—
498	C₂×#121	#120	1	4	yes	—
499	C₂×#121	#120	1	4	yes	—
500	C₂×#121	#120	1	4	yes	—
501	C₂×#121	#121	1	4	yes	—
502	C₂×#121	#121	1	4	yes	—
503	C₂×#120	#120	1	8	yes	—
504	C₂×#117	#120	1	8	yes	—
505	C₂×#117	C₂²×D₄	1	4	yes	—
506	C₂×#117	C₂²×D₄	1	4	yes	—
507	C₂×#117	C₂²×D₄	1	4	yes	—
508	C₂×#117	C₂²×D₄	1	2	yes	—
509	C₂×#117	C₂²×D₄	1	2	yes	—
510	C₂×#117	C₂²×D₄	1	2	yes	—
511	C₂×#117	C₂²×D₄	1	2	yes	—
512	C₂×#117	C₂²×D₄	1	2	yes	—
513	C₂×#117	C₂²×D₄	1	2	yes	—
514	C₂×#117	C₂²×D₄	1	2	yes	—
515	C₂×#117	C₂²×D₄	1	2	yes	—
516	C₂×#117	C₂²×D₄	1	2	yes	—
517	C₂×#117	C₂²×D₄	1	2	yes	—
518	C₂×#117	C₂²×D₄	1	2	yes	—
519	C₂×#117	C₂²×D₄	1	2	yes	—
520	C₂×#117	C₂²×D₄	1	2	yes	—
521	C₂×#117	C₂²×D₄	1	4	yes	—
522	C₂×#117	C₂²×D₄	1	2	yes	—
523	C₂×#117	C₂²×D₄	1	2	yes	—
524	C₂×#117	C₂²×D₄	1	2	yes	—
525	C₂×#117	C₂²×D₄	1	2	yes	—
526	C₂×#117	C₂²×D₄	1	4	yes	—
527	C₂×#117	C₂×#41	1	2	yes	—
528	C₂×#117	H(5,𝔽₂)	1	4	yes	—
529	C₂×#117	H(5,𝔽₂)	1	4	yes	—
530	C₂×#117	H(5,𝔽₂)	1	4	yes	—
531	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
532	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
533	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
534	C₂²×C₂²⋊C₄	#120	1	8	yes	—
535	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
536	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
537	C₂²×C₄²	C₂²×D₄	1	2	yes	—
538	C₂²×C₄²	C₂²×D₄	1	2	yes	—
539	C₂²×C₄²	C₂²×D₄	1	4	yes	—
540	C₄×C₂²⋊C₄	#120	1	8	yes	—
541	C₄×C₂²⋊C₄	#120	1	8	yes	—
542	C₂⁵	C₂×#120	1	2	yes	—
543	C₂⁵	C₂×#120	1	2	yes	—
544	C₂⁵	C₂×#120	1	1	yes	characteristic
545	C₂⁵	C₂×#120	1	2	yes	—
546	C₂⁵	C₂×#120	1	1	yes	characteristic
547	C₂⁵	C₂×#120	1	2	yes	—
548	C₂⁵	C₂×#120	1	1	yes	characteristic
549	C₂⁵	C₂×#120	1	2	yes	—
550	C₂⁵	C₂×#120	1	2	yes	—
551	C₂⁵	C₂×#120	1	1	yes	characteristic
552	C₂⁵	#534	1	2	yes	—
553	C₂⁵	D₄²	1	1	yes	characteristic
554	C₂⁵	D₄²	1	1	yes	characteristic
555	C₂⁵	D₄²	1	2	yes	—
556	C₂⁵	D₄²	1	1	yes	characteristic
557	C₂⁵	D₄²	1	1	yes	characteristic
558	C₂⁵	#546	1	2	yes	—
559	C₂⁵	C₂³×D₄	1	1	yes	characteristic
560	C₂×#41	C₂×#120	1	4	yes	—
561	C₂×#41	C₂×#121	1	4	yes	—
562	C₂×#41	C₂×#121	1	4	yes	—
563	C₂×#41	C₂×#127	1	4	yes	—
564	C₂²×Q₈	C₂×#120	1	2	yes	—
565	C₂²×Q₈	C₂×#120	1	2	yes	—
566	C₂²×Q₈	C₂×#120	1	2	yes	—
567	C₂²×Q₈	C₂×#120	1	2	yes	—
568	C₂²×Q₈	C₂×#121	1	2	yes	—
569	C₂²×Q₈	D₄²	1	4	yes	—
570	C₂²×Q₈	D₄²	1	4	yes	complemented
571	C₂²×D₄	C₂×#120	1	4	yes	—
572	C₂²×D₄	C₂×#120	1	2	yes	—
573	C₂²×D₄	C₂×#120	1	2	yes	—
574	C₂²×D₄	C₂×#120	1	2	yes	—
575	C₂²×D₄	C₂×#120	1	2	yes	—
576	C₂²×D₄	C₂×#121	1	2	yes	—
577	C₂²×D₄	#534	1	4	yes	—
578	C₂²×D₄	D₄²	1	4	yes	—
579	C₂²×D₄	D₄²	1	4	yes	complemented
580	C₂³×C₄	C₂×#120	1	2	yes	—
581	C₂³×C₄	C₂×#120	1	2	yes	—
582	C₂³×C₄	C₂×#120	1	2	yes	—
583	C₂³×C₄	C₂×#120	1	1	yes	characteristic
584	C₂³×C₄	C₂×#120	1	1	yes	characteristic
585	C₂³×C₄	C₂×#120	1	2	yes	—
586	C₂³×C₄	C₂×#120	1	2	yes	—
587	C₂³×C₄	C₂×#120	1	1	yes	characteristic
588	C₂³×C₄	C₂×#120	1	1	yes	characteristic
589	C₂³×C₄	C₂×#120	1	2	yes	—
590	C₂³×C₄	C₂×#120	1	2	yes	—
591	C₂³×C₄	C₂×#120	1	2	yes	—
592	C₂³×C₄	C₂×#120	1	2	yes	—
593	C₂³×C₄	C₂×#120	1	2	yes	—
594	C₂³×C₄	C₂×#120	1	2	yes	—
595	C₂³×C₄	C₂×#120	1	2	yes	—
596	C₂³×C₄	C₂×#120	1	2	yes	—
597	C₂³×C₄	C₂×#120	1	2	yes	—
598	C₂³×C₄	C₂×#120	1	2	yes	—
599	C₂³×C₄	C₂×#120	1	2	yes	—
600	C₂³×C₄	C₂×#120	1	1	yes	characteristic
601	C₂³×C₄	C₂×#120	1	1	yes	characteristic
602	C₂³×C₄	C₂×#120	1	1	yes	characteristic
603	C₂³×C₄	C₂×#120	1	1	yes	characteristic
604	C₂³×C₄	C₂×#121	1	2	yes	—
605	C₂³×C₄	C₂×#121	1	2	yes	—
606	C₂³×C₄	C₂×#121	1	2	yes	—
607	C₂³×C₄	C₂×#121	1	2	yes	—
608	C₂³×C₄	C₂×#121	1	2	yes	—
609	C₂³×C₄	C₂×#121	1	2	yes	—
610	C₂³×C₄	C₂×#127	1	2	yes	—
611	C₂³×C₄	C₂×#127	1	2	yes	—
612	C₂³×C₄	#534	1	2	yes	—
613	C₂³×C₄	#534	1	2	yes	—
614	C₂³×C₄	#534	1	2	yes	—
615	C₂³×C₄	#534	1	2	yes	—
616	C₂³×C₄	#534	1	2	yes	—
617	C₂³×C₄	#534	1	1	yes	characteristic
618	C₂³×C₄	#534	1	1	yes	characteristic
619	C₂³×C₄	#534	1	2	yes	—
620	C₂³×C₄	#534	1	1	yes	characteristic
621	C₂³×C₄	#534	1	1	yes	characteristic
622	C₂³×C₄	#534	1	2	yes	—
623	C₂³×C₄	#535	1	2	yes	—
624	C₂³×C₄	#535	1	2	yes	—
625	C₂³×C₄	#535	1	2	yes	—
626	C₂³×C₄	#535	1	2	yes	—
627	C₂³×C₄	D₄²	1	8	yes	—
628	C₂³×C₄	D₄²	1	4	yes	—
629	C₂³×C₄	D₄²	1	4	yes	—
630	C₂³×C₄	D₄²	1	4	yes	—
631	C₂³×C₄	D₄²	1	4	yes	—
632	C₂³×C₄	D₄²	1	1	yes	characteristic
633	C₂³×C₄	D₄²	1	1	yes	characteristic
634	C₂³×C₄	D₄²	1	2	yes	—
635	C₂³×C₄	D₄²	1	2	yes	—
636	C₂³×C₄	D₄²	1	2	yes	—
637	C₂³×C₄	D₄²	1	1	yes	characteristic
638	C₂³×C₄	D₄²	1	1	yes	characteristic
639	C₂³×C₄	D₄²	1	2	yes	—
640	C₂³×C₄	D₄²	1	1	yes	characteristic
641	C₂³×C₄	D₄²	1	1	yes	characteristic
642	C₂³×C₄	D₄²	1	1	yes	characteristic
643	C₂³×C₄	D₄²	1	2	yes	—
644	C₂³×C₄	D₄²	1	1	yes	characteristic
645	C₂³×C₄	D₄²	1	2	yes	—
646	C₂³×C₄	D₄²	1	2	yes	—
647	C₂³×C₄	D₄²	1	2	yes	—
648	C₂³×C₄	D₄²	1	2	yes	—
649	C₂³×C₄	D₄²	1	2	yes	—
650	C₂³×C₄	D₄²	1	2	yes	—
651	C₂³×C₄	D₄²	1	2	yes	—
652	C₂³×C₄	D₄²	1	2	yes	—
653	C₂³×C₄	D₄²	1	2	yes	—
654	C₂³×C₄	D₄²	1	1	yes	characteristic
655	C₂³×C₄	D₄²	1	1	yes	characteristic
656	C₂³×C₄	D₄²	1	2	yes	—
657	C₂³×C₄	D₄²	1	1	yes	characteristic
658	C₂³×C₄	D₄²	1	1	yes	characteristic
659	C₂³×C₄	#546	1	2	yes	—
660	C₂³×C₄	#546	1	2	yes	—
661	C₂³×C₄	#546	1	2	yes	—
662	C₂³×C₄	#546	1	2	yes	—
663	C₂³×C₄	#546	1	2	yes	—
664	C₂³×C₄	#546	1	2	yes	—
665	C₂³×C₄	#546	1	2	yes	—
666	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
667	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
668	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
669	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
670	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
671	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
672	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
673	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
674	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
675	C₂³×C₄	C₂³×D₄	1	2	yes	—
676	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
677	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
678	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
679	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
680	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
682	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
683	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
684	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
685	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
686	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
687	C₂³×C₄	#585	1	2	yes	—
688	C₂²⋊Q₈	#392	1	8	yes	—
689	C₂²⋊Q₈	#392	1	8	yes	—
690	C₂²⋊Q₈	#392	1	8	yes	—
691	C₂²⋊Q₈	#392	1	8	yes	—
692	#121	#392	1	8	yes	—
693	#121	#392	1	8	yes	—
694	#121	#392	1	8	yes	—
695	#121	#392	1	8	yes	—
696	#117	C₂×#120	1	4	yes	—
697	#117	C₂×#121	1	4	yes	—
698	#117	C₂×#121	1	4	yes	—
699	#117	C₂×#127	1	4	yes	—
700	#117	D₄²	1	8	yes	—
701	#117	D₄²	1	8	yes	—
702	#117	D₄²	1	8	yes	complemented
703	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
704	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
705	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
706	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
707	C₂×C₄⋊C₄	C₂×#121	1	4	yes	—
708	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
709	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
710	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
711	C₂×C₂²⋊C₄	#534	1	4	yes	—
712	C₂×C₄²	C₂×#120	1	4	yes	—
713	C₂×C₄²	C₂×#120	1	4	yes	—
714	C₂×C₄²	D₄²	1	8	yes	complemented
715	C₂⁴	#2403	1	1	yes	characteristic
716	C₂⁴	#2403	1	2	yes	—
717	C₂⁴	#2403	1	2	yes	—
718	C₂⁴	#2403	1	4	yes	—
719	C₂⁴	#2403	1	2	yes	—
720	C₂⁴	#2403	1	2	yes	—
721	C₂⁴	#2403	1	1	yes	characteristic
722	C₂⁴	#2403	1	1	yes	characteristic
723	C₂⁴	#2403	1	1	yes	characteristic
724	C₂⁴	#2408	1	2	yes	—
725	C₂⁴	#2408	1	2	yes	—
726	C₂⁴	#2410	1	2	yes	—
727	C₂⁴	#2410	1	2	yes	—
728	C₂⁴	#2410	1	2	yes	—
729	C₂⁴	#2410	1	2	yes	—
730	C₂⁴	#2433	1	2	yes	—
731	C₂⁴	#2433	1	2	yes	—
732	C₂⁴	#2846	1	2	yes	—
733	C₂⁴	#2846	1	2	yes	—
734	C₂⁴	C₂²×#120	1	1	yes	characteristic
735	C₂⁴	C₂²×#120	1	1	yes	characteristic
736	C₂⁴	C₂²×#120	1	1	yes	characteristic
737	C₂⁴	C₂²×#120	1	1	yes	characteristic
738	C₂⁴	C₂×#534	1	1	yes	characteristic
739	C₂⁴	C₂×#534	1	1	yes	characteristic
740	C₂⁴	C₂×#534	1	1	yes	characteristic
741	C₂⁴	C₂×D₄²	1	1	yes	characteristic
742	C₂⁴	C₂×D₄²	1	1	yes	characteristic
743	C₂⁴	C₂×D₄²	1	1	yes	characteristic
744	C₂⁴	C₂×#546	1	1	yes	characteristic
745	C₂⁴	#3484	1	1	yes	characteristic
746	C₂⁴	#3484	1	1	yes	characteristic
747	C₂⁴	#3484	1	1	yes	characteristic
748	C₂⁴	#3485	1	1	yes	characteristic
749	C₂×Q₈	C₂×#392	1	4	yes	—
750	C₂×D₄	C₂×#392	1	4	yes	—
751	C₂²×C₄	C₂×#392	1	2	yes	—
752	C₂²×C₄	C₂×#392	1	2	yes	—
753	C₂²×C₄	C₂×#392	1	2	yes	—
754	C₂²×C₄	C₂×#392	1	2	yes	—
755	C₂²×C₄	#2403	1	4	yes	—
756	C₂²×C₄	#2403	1	2	yes	—
757	C₂²×C₄	#2403	1	2	yes	—
758	C₂²×C₄	#2403	1	2	yes	—
759	C₂²×C₄	#2403	1	2	yes	—
760	C₂²×C₄	#2403	1	2	yes	—
761	C₂²×C₄	#2403	1	2	yes	—
762	C₂²×C₄	#2403	1	2	yes	—
763	C₂²×C₄	#2403	1	2	yes	—
764	C₂²×C₄	#2403	1	2	yes	—
765	C₂²×C₄	#2403	1	2	yes	—
766	C₂²×C₄	#2403	1	2	yes	—
767	C₂²×C₄	#2403	1	1	yes	characteristic
768	C₂²×C₄	#2403	1	1	yes	characteristic
769	C₂²×C₄	#2403	1	2	yes	—
770	C₂²×C₄	#2403	1	1	yes	characteristic
771	C₂²×C₄	#2403	1	1	yes	characteristic
772	C₂²×C₄	#2408	1	2	yes	—
773	C₂²×C₄	#2408	1	2	yes	—
774	C₂²×C₄	#2408	1	2	yes	—
775	C₂²×C₄	#2408	1	2	yes	—
776	C₂²×C₄	#2408	1	2	yes	—
777	C₂²×C₄	#2408	1	2	yes	—
778	C₂²×C₄	#2410	1	2	yes	—
779	C₂²×C₄	#2410	1	2	yes	—
780	C₂²×C₄	#2410	1	2	yes	—
781	C₂²×C₄	#2410	1	2	yes	—
782	C₂²×C₄	#2410	1	2	yes	—
783	C₂²×C₄	#2410	1	2	yes	—
784	C₂²×C₄	#2410	1	2	yes	—
785	C₂²×C₄	#2410	1	2	yes	—
786	C₂²×C₄	#2410	1	2	yes	—
787	C₂²×C₄	#2410	1	2	yes	—
788	C₂²×C₄	#2410	1	2	yes	—
789	C₂²×C₄	#2410	1	2	yes	—
790	C₂²×C₄	#2433	1	2	yes	—
791	C₂²×C₄	#2433	1	2	yes	—
792	C₂²×C₄	#2433	1	2	yes	—
793	C₂²×C₄	#2433	1	2	yes	—
794	C₂²×C₄	#2433	1	2	yes	—
795	C₂²×C₄	#2433	1	2	yes	—
796	C₂²×C₄	#2613	1	2	yes	—
797	C₂²×C₄	#2613	1	2	yes	—
798	C₂²×C₄	#2613	1	2	yes	—
799	C₂²×C₄	#2613	1	2	yes	—
800	C₂²×C₄	#2846	1	2	yes	—
801	C₂²×C₄	#2846	1	2	yes	—
802	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
803	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
804	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
805	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
806	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
807	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
808	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
809	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
810	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
811	C₂²×C₄	C₂²×#127	1	1	yes	characteristic
812	C₂²×C₄	C₂×#534	1	1	yes	characteristic
813	C₂²×C₄	C₂×#534	1	1	yes	characteristic
814	C₂²×C₄	C₂×#534	1	1	yes	characteristic
815	C₂²×C₄	C₂×#534	1	1	yes	characteristic
816	C₂²×C₄	C₂×#535	1	1	yes	characteristic
817	C₂²×C₄	C₂×#535	1	1	yes	characteristic
818	C₂²×C₄	C₂×D₄²	1	2	yes	—
819	C₂²×C₄	C₂×D₄²	1	2	yes	—
820	C₂²×C₄	C₂×D₄²	1	2	yes	—
821	C₂²×C₄	C₂×D₄²	1	2	yes	—
822	C₂²×C₄	C₂×D₄²	1	2	yes	—
823	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
824	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
825	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
826	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
827	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
828	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
829	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
830	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
831	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
832	C₂²×C₄	C₂×D₄²	1	2	yes	—
833	C₂²×C₄	C₂×D₄²	1	2	yes	—
834	C₂²×C₄	C₂×D₄²	1	2	yes	—
835	C₂²×C₄	C₂×D₄²	1	2	yes	—
836	C₂²×C₄	C₂×#546	1	1	yes	characteristic
837	C₂²×C₄	C₂×#546	1	1	yes	characteristic
838	C₂²×C₄	C₂×#546	1	1	yes	characteristic
839	C₂²×C₄	D₄×#41	1	2	yes	—
840	C₂²×C₄	#3484	1	2	yes	—
841	C₂²×C₄	#3484	1	2	yes	—
842	C₂²×C₄	#3484	1	2	yes	—
843	C₂²×C₄	#3484	1	2	yes	—
844	C₂²×C₄	#3484	1	2	yes	—
845	C₂²×C₄	#3484	1	2	yes	—
846	C₂²×C₄	#3484	1	2	yes	—
847	C₂²×C₄	#3484	1	2	yes	—
848	C₂²×C₄	#3484	1	2	yes	—
849	C₂²×C₄	#3484	1	2	yes	—
850	C₂²×C₄	#3484	1	2	yes	—
851	C₂²×C₄	#3484	1	2	yes	—
852	C₂²×C₄	#3484	1	2	yes	—
853	C₂²×C₄	#3484	1	2	yes	—
854	C₂²×C₄	#3484	1	2	yes	—
855	C₂²×C₄	#3484	1	2	yes	—
856	C₂²×C₄	#3484	1	2	yes	—
857	C₂²×C₄	#3488	1	2	yes	—
858	C₂²×C₄	#3488	1	2	yes	—
859	C₂²×C₄	#3488	1	2	yes	—
860	C₂²×C₄	#3488	1	2	yes	—
861	C₂²×C₄	#3488	1	2	yes	—
862	C₂²×C₄	#3496	1	2	yes	—
863	C₂²×C₄	#3496	1	2	yes	—
864	C₂²×C₄	#3496	1	2	yes	—
865	C₂²×C₄	#3496	1	2	yes	—
866	C₂²×C₄	#3496	1	2	yes	—
867	C₂²×C₄	#3498	1	2	yes	—
868	C₂²×C₄	#3498	1	2	yes	—
869	C₂²×C₄	#3498	1	2	yes	—
870	C₂²×C₄	#3498	1	2	yes	—
871	C₂²×C₄	#3519	1	2	yes	—
872	C₂²×C₄	#3519	1	2	yes	—
873	C₂²×C₄	#3519	1	2	yes	—
874	C₂²×C₄	#3532	1	2	yes	—
875	C₂²×C₄	#3532	1	2	yes	—
876	C₂²×C₄	#3532	1	2	yes	—
877	C₂²×C₄	#3532	1	2	yes	—
878	C₂²×C₄	#3534	1	2	yes	—
879	C₂²×C₄	#3534	1	2	yes	—
880	C₂²×C₄	#3537	1	2	yes	—
881	C₂²×C₄	#3537	1	2	yes	—
882	C₂²×C₄	#3537	1	2	yes	—
883	C₂²×C₄	#3542	1	2	yes	—
884	C₂²×C₄	#3543	1	2	yes	—
885	C₂²×C₄	#3543	1	2	yes	—
886	C₄⋊C₄	C₂×#392	1	8	yes	—
887	C₂²⋊C₄	#2403	1	8	yes	—
888	C₂³	#14715	1	2	yes	—
889	C₂³	#14715	1	2	yes	—
890	C₂³	#14715	1	2	yes	—
891	C₂³	#14715	1	2	yes	—
892	C₂³	C₂×#2403	1	1	yes	characteristic
893	C₂³	C₂×#2403	1	1	yes	characteristic
894	C₂³	C₂×#2403	1	1	yes	characteristic
895	C₂³	C₂×#2403	1	1	yes	characteristic
896	C₂³	C₂×#2403	1	1	yes	characteristic
897	C₂³	C₂×#2410	1	1	yes	characteristic
898	C₂³	C₂×#2410	1	1	yes	characteristic
899	C₂³	C₂×#2408	1	1	yes	characteristic
900	C₂³	C₂×#2433	1	1	yes	characteristic
901	C₂³	#34980	1	1	yes	characteristic
902	C₂³	#34980	1	1	yes	characteristic
903	C₂³	#34980	1	1	yes	characteristic
904	C₂³	#35346	1	1	yes	characteristic
905	C₂³	#35346	1	1	yes	characteristic
906	C₂³	#35347	1	1	yes	characteristic
907	C₂³	#35347	1	1	yes	characteristic
908	C₂³	#35512	1	1	yes	characteristic
909	C₂³	#35527	1	1	yes	characteristic
910	C₂³	D₄×#120	1	1	yes	characteristic
911	C₂³	D₄×#120	1	1	yes	characteristic
912	C₂³	D₄×#120	1	1	yes	characteristic
913	C₂³	#36212	1	1	yes	characteristic
914	C₂³	C₂×#2846	1	1	yes	characteristic
915	C₂³	#37644	1	1	yes	characteristic
916	C₂³	#37644	1	1	yes	characteristic
917	C₂³	#37644	1	1	yes	characteristic
918	C₂³	#37644	1	1	yes	characteristic
919	C₂³	#37646	1	1	yes	characteristic
920	C₂³	#37646	1	1	yes	characteristic
921	C₂³	#38020	1	1	yes	characteristic
922	C₂³	#38020	1	1	yes	characteristic
923	C₂³	#38904	1	1	yes	characteristic
924	C₂³	#39336	1	1	yes	characteristic
925	C₂³	#39336	1	1	yes	characteristic
926	C₂³	#39338	1	1	yes	characteristic
927	C₂×C₄	#14715	1	2	yes	—
928	C₂×C₄	#14715	1	2	yes	—
929	C₂×C₄	#14715	1	2	yes	—
930	C₂×C₄	#14715	1	2	yes	—
931	C₂×C₄	C₂²×#392	1	1	yes	characteristic
932	C₂×C₄	C₂×#2613	1	1	yes	characteristic
933	C₂×C₄	C₂×#2403	1	1	yes	characteristic
934	C₂×C₄	C₂×#2403	1	1	yes	characteristic
935	C₂×C₄	C₂×#2410	1	1	yes	characteristic
936	C₂×C₄	C₂×#2410	1	1	yes	characteristic
937	C₂×C₄	C₂×#2408	1	1	yes	characteristic
938	C₂×C₄	C₂×#2433	1	1	yes	characteristic
939	C₂×C₄	#35680	1	2	yes	—
940	C₂×C₄	#35680	1	2	yes	—
941	C₂×C₄	#35680	1	2	yes	—
942	C₂×C₄	#35680	1	2	yes	—
943	C₂×C₄	#35680	1	2	yes	—
944	C₂×C₄	#35680	1	2	yes	—
945	C₂×C₄	#35691	1	2	yes	—
946	C₂×C₄	#35691	1	2	yes	—
947	C₂×C₄	#35691	1	2	yes	—
948	C₂×C₄	#35921	1	2	yes	—
949	C₂×C₄	D₄×#120	1	2	yes	—
950	C₂×C₄	D₄×#120	1	2	yes	—
951	C₂×C₄	D₄×#120	1	2	yes	—
952	C₂×C₄	D₄×#120	1	2	yes	—
953	C₂×C₄	D₄×#120	1	2	yes	—
954	C₂×C₄	D₄×#120	1	2	yes	—
955	C₂×C₄	D₄×#121	1	2	yes	—
956	C₂×C₄	D₄×#121	1	2	yes	—
957	C₂×C₄	D₄×#121	1	2	yes	—
958	C₂×C₄	D₄×#127	1	2	yes	—
959	C₂×C₄	#37644	1	2	yes	—
960	C₂×C₄	#37644	1	2	yes	—
961	C₂×C₄	#37650	1	2	yes	—
962	C₂×C₄	#37672	1	2	yes	—
963	C₂×C₄	#37672	1	2	yes	—
964	C₂×C₄	#37674	1	2	yes	—
965	C₂×C₄	#40484	1	2	yes	—
966	C₂×C₄	#40484	1	2	yes	—
967	C₂×C₄	#40490	1	2	yes	—
968	C₂×C₄	#40584	1	2	yes	—
969	C₂×C₄	#40584	1	2	yes	—
970	C₂×C₄	#40590	1	2	yes	—
971	C₂×C₄	#42996	1	2	yes	—
972	C₂×C₄	#42996	1	2	yes	—
973	C₂×C₄	#43001	1	2	yes	—
974	C₂×C₄	#43001	1	2	yes	—
975	C₂×C₄	#43001	1	2	yes	—
976	C₂×C₄	#43095	1	2	yes	—
977	C₂×C₄	#43095	1	2	yes	—
978	C₂×C₄	#43098	1	2	yes	—
979	C₂×C₄	#43098	1	2	yes	—
980	C₂×C₄	#43886	1	2	yes	—
981	C₂×C₄	#43886	1	2	yes	—
982	C₂×C₄	#43893	1	2	yes	—
983	C₂×C₄	#58990	1	2	yes	—
984	C₂×C₄	#58990	1	2	yes	—
985	C₂×C₄	#58990	1	2	yes	—
986	C₂×C₄	#58990	1	2	yes	—
987	C₂×C₄	#58997	1	2	yes	—
988	C₂×C₄	#58997	1	2	yes	—
989	C₂×C₄	#58997	1	2	yes	—
990	C₂×C₄	#59004	1	2	yes	—
991	C₂×C₄	#59123	1	2	yes	—
992	C₂×C₄	#59123	1	2	yes	—
993	C₂×C₄	#59126	1	2	yes	—
994	C₂×C₄	#59126	1	2	yes	—
995	C₂²	#394108	1	4	yes	complemented
996	C₂²	C₂×#14715	1	1	yes	characteristic
997	C₂²	#612424	1	1	yes	characteristic
998	C₂²	#647656	1	1	yes	characteristic
999	C₂²	#647656	1	1	yes	characteristic
1000	C₂²	#647663	1	1	yes	characteristic
1001	C₂²	#647714	1	1	yes	characteristic
1002	C₂²	#647714	1	1	yes	characteristic
1003	C₂²	#649038	1	1	yes	characteristic
1004	C₂²	#686200	1	1	yes	characteristic
1005	C₂²	#686200	1	1	yes	characteristic
1006	C₂²	#686258	1	1	yes	characteristic
1007	C₂²	#686258	1	1	yes	characteristic
1008	C₂²	#719096	1	1	yes	characteristic
1009	C₂²	#719140	1	1	yes	characteristic
1010	C₂²	#4928938	1	1	yes	characteristic
1011	C₄	#772778	1	2	yes	—
1012	C₄	#772778	1	2	yes	—
1013	C₄	#772794	1	2	yes	—
1014	C₄	#772794	1	2	yes	—
1015	C₄	#773762	1	2	yes	—
1016	C₄	#773780	1	2	yes	—
1017	C₄	#1393169	1	2	yes	—
1018	C₄	D₄×#392	1	2	yes	—
1019	C₂	C₂×#394108	1	2	yes	—
1020	C₂	#72233926	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×#2433
commutator, Frattini, cosocle	C₂⁴×C₄	C₂⁵
socle	C₂²	C₂×#14715
LCS	G ▷ C₂⁴×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂⁵×C₄ ◁ G
LECS	G ▷ C₂⁴×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72316876	C₂	semidirect
2. #72316864	C₂	semidirect
3. #72316856	C₂	semidirect
4. #72316849	C₂	semidirect
5. #72316846	C₂	semidirect
6. #72316841	C₂	semidirect
7. #72316838	C₂	semidirect
8. #72316832	C₂	semidirect
9. #72316823	C₂	semidirect
10. #72316818	C₂	semidirect
11. #72316813	C₂	semidirect
12. #72316808	C₂	semidirect
13. #72313195	C₂	semidirect
14. C₂²×#23443	C₂	semidirect
15. #72280894	C₂	semidirect
16. #72280467	C₂	semidirect
17. #72280406	C₂	semidirect
18. #72279346	C₂	semidirect
19. #72268516	C₂	semidirect
20. #72256073	C₂	semidirect
21. #72240119	C₂	semidirect
22. C₂×#394108	C₂	semidirect
23. C₂×#393988	C₂	semidirect
25. C₂×#62811	C₂²	semidirect
26. C₂²×#3449	C₂²	semidirect
29. C₂³×#525	C₂²	semidirect
30. C₂×#60387	C₂²	semidirect
32. C₂×#60359	C₂²	semidirect
33. C₂×#60359	C₂²	semidirect
34. C₂×#60359	C₂²	semidirect
35. C₂³×#410	C₂²	semidirect
36. C₂³×#410	C₂²	semidirect
38. #7629144	C₂²	semidirect
39. #7629122	C₂²	semidirect
40. #7629122	C₂²	semidirect
41. #7629120	C₂²	semidirect
43. #7628650	C₂²	semidirect
45. #7628649	C₂²	semidirect
47. #7625530	C₂²	semidirect
48. C₂²×#2280	C₂²	semidirect
50. C₂×#23443	C₂²	semidirect
51. C₂×#23443	C₂²	semidirect
52. C₂×#23443	C₂²	semidirect
53. C₂×#23414	C₂²	semidirect
54. C₂×#23414	C₂²	semidirect
55. C₂²×#2010	C₂²	semidirect
56. C₂²×#2010	C₂²	semidirect
57. C₂×#23412	C₂²	semidirect
58. #6431722	C₂²	semidirect
59. #6431722	C₂²	semidirect
60. #6431698	C₂²	semidirect
61. #6431698	C₂²	semidirect
62. C₂×#21000	C₂²	semidirect
65. C₂×#20979	C₂²	semidirect
66. C₂×#20979	C₂²	semidirect
67. C₂×#20979	C₂²	semidirect
68. C₂×#20979	C₂²	semidirect
69. #6371454	C₂²	semidirect
71. #6371380	C₂²	semidirect
72. #6371380	C₂²	semidirect
73. #6371380	C₂²	semidirect
74. C₂×#20620	C₂²	semidirect
75. C₂×#20605	C₂²	semidirect
76. C₂×#20605	C₂²	semidirect
77. C₂×#20591	C₂²	semidirect
78. #6370684	C₂²	semidirect
79. C₂×#20579	C₂²	semidirect
80. C₂×#20579	C₂²	semidirect
81. C₂²×#1740	C₂²	semidirect
82. #357773	C₂²	semidirect
83. #357709	C₂²	semidirect
84. #357593	C₂²	semidirect
85. #357586	C₂²	semidirect
86. #357577	C₂²	semidirect
87. C₂×#11003	C₂²	semidirect
88. C₂×#11000	C₂²	semidirect
89. C₂×#11000	C₂²	semidirect
90. #357556	C₂²	semidirect
91. #357556	C₂²	semidirect
92. #357548	C₂²	semidirect
93. #357548	C₂²	semidirect
94. C₂×#10994	C₂²	semidirect
95. C₂×#10994	C₂²	semidirect
96. C₂×#10994	C₂²	semidirect
97. C₂×#10994	C₂²	semidirect
98. C₂×#10993	C₂²	semidirect
99. C₂×#10993	C₂²	semidirect
100. C₂×#10993	C₂²	semidirect
101. C₂×#10993	C₂²	semidirect
102. #357440	C₂²	semidirect
103. #357440	C₂²	semidirect
104. #354116	C₂²	semidirect
105. #353444	C₂²	semidirect
106. C₂×#10738	C₂²	semidirect
107. C₂×#10738	C₂²	semidirect
108. #353400	C₂²	semidirect
109. #353400	C₂²	semidirect
110. C₂×#10792	C₂²	semidirect
111. C₂×#10716	C₂²	semidirect
112. C₂×#10716	C₂²	semidirect
113. #124003	C₂²	semidirect
114. #123962	C₂²	semidirect
115. #123610	C₂²	semidirect
116. #123603	C₂²	semidirect
117. #123568	C₂²	semidirect
118. #123536	C₂²	semidirect
119. #123536	C₂²	semidirect
120. #123531	C₂²	semidirect
121. #123531	C₂²	semidirect
122. #123457	C₂²	semidirect
131. C₂×#3487	D₄	semidirect
132. C₂×#3486	D₄	semidirect
133. C₂×#3485	D₄	semidirect
134. C₂×#3484	D₄	semidirect
144. C₂²×#525	D₄	semidirect
145. C₂²×#525	D₄	semidirect
160. C₂³×C₂²⋊Q₈	D₄	semidirect
161. C₂³×#121	D₄	semidirect
170. C₂×#3005	D₄	semidirect
171. C₂×#3004	D₄	semidirect
172. C₂×#3003	D₄	semidirect
203. #36614	D₄	semidirect
204. #36614	D₄	semidirect
205. #36614	D₄	semidirect
206. #35306	D₄	semidirect
207. #35252	D₄	semidirect
208. #34632	D₄	semidirect
209. #34136	D₄	semidirect
223. #23443	D₄	semidirect
224. C₂×#1897	D₄	semidirect
225. C₂×#1896	D₄	semidirect
226. #20908	D₄	semidirect
249. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
250. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
255. C₂³×#41	C₂×D₄	semidirect
256. C₂³×#41	C₂×D₄	semidirect
257. C₂³×#41	C₂×D₄	semidirect
265. C₂⁴×Q₈	C₂×D₄	semidirect
266. C₂⁴×Q₈	C₂×D₄	semidirect
269. C₂⁴×D₄	C₂×D₄	semidirect
270. C₂⁴×D₄	C₂×D₄	semidirect
282. C₂²×#137	C₂×D₄	semidirect
283. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
288. #3449	C₂×D₄	semidirect
289. C₂×#536	C₂×D₄	semidirect
290. C₂×#536	C₂×D₄	semidirect
291. C₂×#536	C₂×D₄	semidirect
292. C₂×#535	C₂×D₄	semidirect
293. C₂×#535	C₂×D₄	semidirect
294. C₂×#535	C₂×D₄	semidirect
310. C₂×#525	C₂×D₄	semidirect
311. C₂×#525	C₂×D₄	semidirect
312. C₂×#525	C₂×D₄	semidirect
313. C₂×#525	C₂×D₄	semidirect
314. C₂×#525	C₂×D₄	semidirect
315. C₂×#525	C₂×D₄	semidirect
324. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
325. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
329. C₂²×#121	C₂×D₄	semidirect
330. C₂²×#121	C₂×D₄	semidirect
335. C₂×#519	C₂×D₄	semidirect
336. C₂×#518	C₂×D₄	semidirect
337. C₂×C₄×#41	C₂×D₄	semidirect
341. C₂²×#117	C₂×D₄	semidirect
342. C₂²×#117	C₂×D₄	semidirect
343. C₂²×#117	C₂×D₄	semidirect
354. C₂³×C₄⋊C₄	C₂×D₄	semidirect
356. C₂³×C₄²	C₂×D₄	semidirect
357. C₂²×#104	C₂×D₄	semidirect
358. C₂×#419	C₂×D₄	semidirect
359. C₂×#418	C₂×D₄	semidirect
360. C₂×#416	C₂×D₄	semidirect
361. C₂×#410	C₂×D₄	semidirect
362. C₂×#410	C₂×D₄	semidirect
363. C₂×#407	C₂×D₄	semidirect
364. C₂×#407	C₂×D₄	semidirect
365. C₂×#407	C₂×D₄	semidirect
366. C₂×#407	C₂×D₄	semidirect
367. C₂²×C₂²⋊C₈	C₂×D₄	semidirect
368. #2317	C₂×D₄	semidirect
369. #2311	C₂×D₄	semidirect
370. #2310	C₂×D₄	semidirect
371. #2309	C₂×D₄	semidirect
372. #2297	C₂×D₄	semidirect
373. #2296	C₂×D₄	semidirect
377. #2280	C₂×D₄	semidirect
378. #2280	C₂×D₄	semidirect
379. #2280	C₂×D₄	semidirect
380. #2280	C₂×D₄	semidirect
381. #2280	C₂×D₄	semidirect
382. #2280	C₂×D₄	semidirect
383. C₄×#117	C₂×D₄	semidirect
385. #1740	C₂×D₄	semidirect
386. #1735	C₂×D₄	semidirect
387. C₂×#339	C₂×D₄	semidirect
570. C₂²×Q₈	D₄²	semidirect
579. C₂²×D₄	D₄²	semidirect
702. #117	D₄²	semidirect
714. C₂×C₄²	D₄²	semidirect
995. C₂²	#394108	semidirect

Maximal subgroups

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

subgroup	index
#72316876	2
#72316864	2
#72316856	2
#72316849	2
#72316846	2
#72316841	2
#72316838	2
#72316832	2
#72316823	2
#72316818	2
#72316813	2
#72316808	2
#72313195	2
C₂²×#23443	2
#72280894	2
#72280467	2
#72280406	2
#72279346	2
#72268516	2
#72256073	2
#72240119	2
C₂×#394108	2
C₂×#393988	2