Subgroups — #72317044

Order 2048.

At least 10975 conjugacy classes of subgroups; only the 3384 normal subgroups are shown.

The subgroup lattice has 1015 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72317043	C₂	1	1	yes	maximal, characteristic, complemented
2	#72317042	C₂	1	1	yes	maximal, characteristic, complemented
3	#72317041	C₂	1	1	yes	maximal, characteristic, complemented
4	#72317040	C₂	1	1	yes	maximal, characteristic, complemented
5	#72317039	C₂	1	1	yes	maximal, characteristic, complemented
6	#72317038	C₂	1	1	yes	maximal, characteristic, complemented
7	#72317037	C₂	1	1	yes	maximal, characteristic, complemented
8	#72317036	C₂	1	1	yes	maximal, characteristic, complemented
9	#72317035	C₂	1	1	yes	maximal, characteristic, complemented
10	#72317034	C₂	1	1	yes	maximal, characteristic, complemented
11	#72316748	C₂	1	2	yes	maximal, complemented
12	#72316747	C₂	1	2	yes	maximal, complemented
13	#72316744	C₂	1	2	yes	maximal, complemented
14	#72316743	C₂	1	2	yes	maximal, complemented
15	C₂×#6371420	C₂	1	1	yes	maximal, characteristic, complemented
16	#72239567	C₂	1	2	yes	maximal, complemented
17	#72239564	C₂	1	2	yes	maximal, complemented
18	#72239551	C₂	1	2	yes	maximal, complemented
19	C₂×#374114	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#359639	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#10576108	C₂	1	1	yes	maximal, characteristic
22	C₂×#359472	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#359576	C₂	1	2	yes	maximal, complemented
24	C₂²×#3585	C₂²	1	1	yes	characteristic
25	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×#62811	C₂²	1	1	yes	characteristic
27	C₂²×#3484	C₂²	1	1	yes	characteristic
28	C₂³×#518	C₂²	1	1	yes	characteristic, complemented
29	#10576108	C₄	1	16	yes	complemented
30	C₂×#60644	C₂²	1	1	yes	characteristic
31	C₂×#60426	C₂²	1	1	yes	characteristic
32	C₂×#60423	C₂²	1	1	yes	characteristic
33	C₂×#60454	C₂²	1	1	yes	characteristic
34	C₂×#60444	C₂²	1	1	yes	characteristic
35	C₂×#60369	C₂²	1	1	yes	characteristic
36	C₂×#60367	C₂²	1	1	yes	characteristic
37	C₂×#60359	C₂²	1	1	yes	characteristic
38	C₂²×#3003	C₂²	1	1	yes	characteristic
39	C₂×#60141	C₂²	1	1	yes	characteristic
40	C₂×#60168	C₂²	1	1	yes	characteristic
41	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
42	C₂³×#418	C₂²	1	1	yes	characteristic, complemented
43	C₂×#34256	C₂²	1	2	yes	complemented
44	C₂×#34171	C₂²	1	1	yes	characteristic, complemented
45	C₂×#34044	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#1904	C₂²	1	2	yes	—
47	C₂²×#1904	C₂²	1	2	yes	complemented
48	C₂²×#1904	C₂²	1	2	yes	complemented
49	C₂×#20989	C₂²	1	1	yes	characteristic
50	C₂×#20983	C₂²	1	1	yes	characteristic
51	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
52	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
53	C₂×#20925	C₂²	1	2	yes	—
54	C₂×#20925	C₂²	1	2	yes	complemented
55	C₂×#20925	C₂²	1	2	yes	complemented
56	C₂×#20925	C₂²	1	2	yes	complemented
57	C₂×#20925	C₂²	1	2	yes	complemented
58	C₂×#20925	C₂²	1	2	yes	complemented
59	C₂×#20910	C₂²	1	1	yes	characteristic, complemented
60	C₂×#20902	C₂²	1	1	yes	characteristic, complemented
61	C₂×#20902	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#1795	C₂²	1	2	yes	complemented
63	C₂×#20618	C₂²	1	2	yes	complemented
64	C₂×#20608	C₂²	1	2	yes	complemented
65	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
66	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
67	C₂×#20584	C₂²	1	1	yes	characteristic, complemented
68	C₂×#20347	C₂²	1	1	yes	characteristic, complemented
69	C₂×#20335	C₂²	1	1	yes	characteristic, complemented
70	#516581	C₂²	1	2	yes	complemented
71	#516581	C₂²	1	2	yes	complemented
72	#516387	C₂²	1	1	yes	characteristic
73	#516387	C₂²	1	1	yes	characteristic, complemented
74	#515029	C₂²	1	1	yes	characteristic
75	#515029	C₂²	1	1	yes	characteristic, complemented
76	#515029	C₂²	1	1	yes	characteristic, complemented
77	#513747	C₂²	1	2	yes	complemented
78	C₂×#11183	C₂²	1	2	yes	complemented
79	C₂×#11036	C₂²	1	2	yes	complemented
80	C₂×#11036	C₂²	1	2	yes	complemented
81	C₂×#11036	C₂²	1	2	yes	complemented
82	C₂×#11012	C₂²	1	2	yes	complemented
83	C₂×#11012	C₂²	1	2	yes	complemented
84	C₂×#11012	C₂²	1	2	yes	complemented
85	#357552	C₂²	1	2	yes	complemented
86	C₂×#11041	C₂²	1	2	yes	complemented
87	C₂×#11041	C₂²	1	2	yes	complemented
88	C₂×#11041	C₂²	1	2	yes	complemented
89	C₂×#11006	C₂²	1	2	yes	complemented
90	#357490	C₂²	1	2	yes	complemented
91	#357480	C₂²	1	2	yes	complemented
92	#357480	C₂²	1	2	yes	complemented
93	C₂×#10984	C₂²	1	2	yes	complemented
94	C₂×#10785	C₂²	1	2	yes	complemented
95	#353460	C₂²	1	2	yes	complemented
96	C₂×#10746	C₂²	1	2	yes	complemented
97	#353426	C₂²	1	2	yes	complemented
98	C₂×#10742	C₂²	1	2	yes	complemented
99	C₂×#10737	C₂²	1	1	yes	characteristic, complemented
100	#353393	C₂²	1	1	yes	characteristic, complemented
101	#353367	C₂²	1	2	yes	complemented
102	#353367	C₂²	1	2	yes	complemented
103	C₂×#10776	C₂²	1	2	yes	complemented
104	C₂×#10729	C₂²	1	1	yes	characteristic, complemented
105	C₂×#10717	C₂²	1	1	yes	characteristic, complemented
106	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
107	#353287	C₂²	1	1	yes	characteristic, complemented
108	#124024	C₂²	1	2	yes	complemented
109	#124020	C₂²	1	2	yes	complemented
110	#123937	C₂²	1	2	yes	complemented
111	#123901	C₂²	1	2	yes	complemented
112	#123614	C₂²	1	2	yes	complemented
113	#123614	C₂²	1	2	yes	complemented
114	#123614	C₂²	1	2	yes	complemented
115	#123608	C₂²	1	2	yes	complemented
116	#123592	C₂²	1	2	yes	complemented
117	#123585	C₂²	1	2	yes	complemented
118	#123557	C₂²	1	2	yes	complemented
119	#123557	C₂²	1	2	yes	complemented
120	#123557	C₂²	1	2	yes	complemented
121	#123557	C₂²	1	2	yes	complemented
122	#123482	C₂²	1	2	yes	complemented
123	#123465	C₂²	1	2	yes	complemented
124	C₂²×#585	C₂³	1	1	yes	characteristic
125	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
126	C₂⁴×#41	C₂³	1	1	yes	characteristic
127	C₂⁵×D₄	C₂³	1	1	yes	characteristic
128	C₂×#3585	C₂×C₄	1	8	yes	complemented
129	C₂²×#575	C₂³	1	1	yes	characteristic
130	C₂²×#575	C₂³	1	1	yes	characteristic
131	C₂²×#575	C₂³	1	1	yes	characteristic
132	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	8	yes	—
133	C₂³×AGL(1,ℤ/8)	D₄	1	8	yes	—
134	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	—
135	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	—
136	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
137	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
138	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
139	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
140	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
141	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
142	C₂⁴×SD₁₆	D₄	1	2	yes	—
143	C₂⁴×D₈	D₄	1	2	yes	—
144	C₂²×#568	C₂³	1	1	yes	characteristic
145	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
146	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
147	#62811	C₂×C₄	1	8	yes	complemented
148	C₂×#3484	C₂×C₄	1	8	yes	—
149	C₂×#3484	D₄	1	8	yes	—
150	C₂²×#546	D₄	1	4	yes	—
151	C₂²×D₄²	D₄	1	4	yes	—
152	C₂×#3449	C₂³	1	1	yes	characteristic
153	C₂×#3449	C₂³	1	1	yes	characteristic
154	C₂²×#535	C₂³	1	1	yes	characteristic
155	C₂²×#535	C₂³	1	1	yes	characteristic
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	C₂×#3428	C₂³	1	1	yes	characteristic
160	C₂²×#518	C₂³	1	2	yes	—
161	C₂²×#518	C₂³	1	1	yes	characteristic
162	C₂³×C₄×D₄	C₂³	1	2	yes	—
163	C₂³×C₄×D₄	C₂³	1	2	yes	—
164	C₂³×#117	C₂³	1	1	yes	characteristic
165	C₂³×#117	C₂³	1	1	yes	characteristic
166	C₂³×#117	C₂³	1	1	yes	characteristic
167	#60644	C₂×C₄	1	8	yes	complemented
168	#60454	C₂×C₄	1	8	yes	complemented
169	#60444	C₂×C₄	1	8	yes	complemented
170	#60426	C₂×C₄	1	8	yes	complemented
171	#60423	C₂×C₄	1	8	yes	complemented
172	#60369	C₂×C₄	1	8	yes	complemented
173	#60367	C₂×C₄	1	8	yes	complemented
174	#60359	C₂×C₄	1	8	yes	complemented
175	C₂×#3003	C₂×C₄	1	8	yes	—
176	C₂×#3003	D₄	1	8	yes	—
177	C₂²×#450	D₄	1	4	yes	—
178	C₂²×#447	D₄	1	4	yes	—
179	#60168	C₂×C₄	1	8	yes	complemented
180	#60141	C₂×C₄	1	8	yes	complemented
181	C₂×#2911	C₂³	1	1	yes	characteristic
182	C₂×#2905	C₂³	1	1	yes	characteristic
183	C₂²×#421	C₂³	1	2	yes	—
184	C₂²×#421	C₂³	1	2	yes	—
185	C₂²×#421	C₂³	1	2	yes	—
186	C₂²×#421	C₂³	1	2	yes	—
187	C₂²×#421	C₂³	1	2	yes	—
188	C₂×#2896	C₂³	1	1	yes	characteristic
189	C₂×#2896	C₂³	1	1	yes	characteristic
190	C₂×#2896	C₂³	1	1	yes	characteristic
191	C₂×#2896	C₂³	1	1	yes	characteristic
192	C₂²×#417	C₂³	1	2	yes	—
193	C₂²×#417	C₂³	1	2	yes	—
194	C₂²×#417	C₂³	1	2	yes	—
195	C₂²×#418	C₂³	1	2	yes	—
196	C₂²×#418	C₂³	1	2	yes	—
197	C₂²×#418	C₂³	1	2	yes	—
198	C₂²×#418	C₂³	1	2	yes	—
199	C₂²×#418	C₂³	1	1	yes	characteristic
200	C₂²×#418	C₂³	1	1	yes	characteristic
201	C₂²×#413	C₂³	1	2	yes	—
202	C₂²×#410	C₂³	1	2	yes	—
203	C₂²×#410	C₂³	1	2	yes	—
204	C₂²×#410	C₂³	1	2	yes	—
205	C₂²×#410	C₂³	1	2	yes	—
206	C₂×#2879	C₂³	1	1	yes	characteristic
207	C₂²×#407	C₂³	1	1	yes	characteristic
208	C₂²×#407	C₂³	1	1	yes	characteristic
209	C₂×#2873	C₂³	1	1	yes	characteristic
210	C₂×#2311	C₂³	1	2	yes	—
211	C₂×#2311	C₂³	1	2	yes	—
212	C₂×#2309	C₂³	1	2	yes	—
213	C₂×#2297	C₂³	1	2	yes	—
214	C₂×#2297	C₂³	1	2	yes	—
215	C₂×#2297	C₂³	1	2	yes	—
216	C₂×#2297	C₂³	1	2	yes	—
217	C₂×#2297	C₂³	1	2	yes	—
218	C₂×#2280	C₂³	1	1	yes	characteristic
219	C₂×#2280	C₂³	1	1	yes	characteristic
220	C₂×#2280	C₂³	1	1	yes	characteristic
221	#20925	D₄	1	16	yes	complemented
222	C₂²×#344	C₂³	1	2	yes	—
223	C₂²×#344	C₂³	1	2	yes	—
224	C₂²×#344	C₂³	1	2	yes	—
225	C₂²×#344	C₂³	1	2	yes	—
226	C₂×#1742	C₂³	1	2	yes	—
227	C₂×#1740	C₂³	1	2	yes	—
228	C₂×#1740	C₂³	1	2	yes	—
229	C₂×#1736	C₂³	1	2	yes	—
230	C₂×#1736	C₂³	1	2	yes	—
231	C₂×#1736	C₂³	1	2	yes	—
232	C₂×#1736	C₂³	1	2	yes	—
233	C₂×#1736	C₂³	1	2	yes	—
234	C₂×#1733	C₂³	1	2	yes	—
235	C₂×#1733	C₂³	1	2	yes	—
236	C₂×#1733	C₂³	1	2	yes	—
237	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
238	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
239	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
240	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
241	C₂×#1728	C₂³	1	2	yes	—
242	C₂×#1728	C₂³	1	2	yes	—
243	C₂×#1728	C₂³	1	2	yes	—
244	C₂×#1728	C₂³	1	2	yes	—
245	#14256	D₄	1	4	yes	—
246	#14255	D₄	1	2	yes	—
247	#14255	D₄	1	2	yes	—
248	#14138	D₄	1	4	yes	—
249	#14136	D₄	1	4	yes	—
250	#13795	C₂³	1	2	yes	—
251	#13795	C₂³	1	2	yes	—
252	#13756	C₂³	1	2	yes	—
253	#13756	C₂³	1	2	yes	—
254	#13756	C₂³	1	2	yes	—
255	C₂×#585	C₂²×C₄	1	4	yes	—
256	C₂²×H(5,𝔽₂)	C₂²×C₄	1	4	yes	—
257	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
258	C₂³×#41	C₂²×C₄	1	4	yes	—
259	C₂³×#41	C₂×D₄	1	4	yes	—
260	C₂³×#41	C₂×D₄	1	2	yes	—
261	C₂³×#41	C₂×D₄	1	1	yes	characteristic
262	C₂³×#41	C₂×D₄	1	1	yes	characteristic
263	C₂³×#41	C₂⁴	1	1	yes	characteristic
264	C₂³×#41	C₂⁴	1	1	yes	characteristic
265	C₂³×#41	C₂⁴	1	1	yes	characteristic
266	C₂³×#41	C₂⁴	1	1	yes	characteristic
267	C₂³×#41	C₂⁴	1	1	yes	characteristic
268	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
269	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
270	C₂⁴×D₄	C₂×D₄	1	2	yes	—
271	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
272	C₂⁴×D₄	C₂×D₄	1	2	yes	—
273	C₂⁴×D₄	C₂×D₄	1	4	yes	—
274	C₂⁴×D₄	C₂×D₄	1	4	yes	—
275	C₂⁴×D₄	C₂×D₄	1	4	yes	—
276	C₂⁴×D₄	C₂×D₄	1	2	yes	—
277	C₂⁴×D₄	C₂×D₄	1	4	yes	—
278	C₂⁴×D₄	C₂×D₄	1	4	yes	—
279	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
280	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
281	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
282	C₂×#575	C₂²×C₄	1	4	yes	—
283	C₂×#575	C₂²×C₄	1	4	yes	—
284	C₂×#575	C₂²×C₄	1	4	yes	—
285	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	16	yes	complemented
286	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	16	yes	complemented
287	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
288	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
289	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
290	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
291	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
292	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
293	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
294	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
295	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
296	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
297	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
298	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
299	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
300	C₂²×AGL(1,ℤ/8)	#41	1	8	yes	—
301	C₂³×SD₁₆	C₂²⋊C₄	1	16	yes	complemented
302	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
303	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
304	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
305	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
306	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
307	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
308	C₂³×D₈	C₂²⋊C₄	1	16	yes	complemented
309	C₂³×D₈	C₂×D₄	1	2	yes	—
310	C₂³×D₈	C₂×D₄	1	2	yes	—
311	C₂³×D₈	C₂×D₄	1	2	yes	—
312	C₂³×D₈	C₂×D₄	1	2	yes	—
313	C₂³×D₈	C₂×D₄	1	2	yes	—
314	C₂³×D₈	C₂×D₄	1	2	yes	—
315	C₂×#568	C₂²×C₄	1	4	yes	—
316	C₂³×M₁₆	C₂²×C₄	1	4	yes	—
317	C₂³×M₁₆	C₂×D₄	1	4	yes	—
318	C₂³×M₁₆	C₂×D₄	1	2	yes	—
319	C₂³×M₁₆	C₂⁴	1	2	yes	—
320	C₂³×M₁₆	C₂⁴	1	2	yes	—
321	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
322	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
323	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
324	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
325	C₂⁴×C₈	C₂×D₄	1	2	yes	—
326	C₂×#546	C₂²⋊C₄	1	32	yes	complemented
327	C₂×D₄²	C₂²⋊C₄	1	32	yes	complemented
328	#3449	C₂²×C₄	1	4	yes	—
329	#3449	C₂²×C₄	1	4	yes	—
330	C₂×#535	C₂²×C₄	1	4	yes	—
331	C₂×#535	C₂²×C₄	1	4	yes	—
332	C₂×#535	C₂×D₄	1	4	yes	—
333	C₂×#535	C₂×D₄	1	4	yes	—
334	C₂²×#127	C₂×D₄	1	2	yes	—
335	C₂²×#124	C₂×D₄	1	2	yes	—
336	C₂×#525	C₂²×C₄	1	4	yes	—
337	C₂×#525	C₂²×C₄	1	4	yes	—
338	C₂×#525	C₂²×C₄	1	4	yes	—
339	C₂×#525	C₂×D₄	1	4	yes	—
340	C₂×#525	C₂×D₄	1	4	yes	—
341	C₂×#525	C₂×D₄	1	4	yes	—
342	C₂×#525	#41	1	4	yes	—
343	C₂×#525	#41	1	4	yes	—
344	C₂²×#123	C₂×D₄	1	2	yes	—
345	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
346	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
347	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
348	C₂²×#121	C₂×D₄	1	2	yes	—
349	C₂²×#121	C₂×D₄	1	2	yes	—
350	C₂²×#121	C₂×D₄	1	4	yes	—
351	C₂²×#121	C₂×D₄	1	2	yes	—
352	C₂²×#120	C₂×D₄	1	2	yes	—
353	#3428	C₂²×C₄	1	4	yes	—
354	C₂×#518	C₂²×C₄	1	4	yes	—
355	C₂×#518	C₂×D₄	1	4	yes	—
356	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
357	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
358	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
359	C₂²×#117	C₂×D₄	1	4	yes	—
360	C₂²×#117	C₂⁴	1	2	yes	—
361	C₂²×#117	C₂⁴	1	2	yes	—
362	C₂²×#117	C₂⁴	1	2	yes	—
363	C₂²×#117	C₂⁴	1	1	yes	characteristic
364	C₂²×#117	C₂⁴	1	1	yes	characteristic
365	C₂²×#117	C₂⁴	1	2	yes	—
366	C₂²×#117	C₂⁴	1	1	yes	characteristic
367	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	—
368	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
369	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
370	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
371	C₂³×C₄²	C₂⁴	1	2	yes	—
372	C₂×#450	C₂²⋊C₄	1	32	yes	complemented
373	C₂×#447	C₂²⋊C₄	1	32	yes	complemented
374	#2911	C₂²×C₄	1	4	yes	—
375	#2905	C₂²×C₄	1	4	yes	—
376	#2896	C₂²×C₄	1	4	yes	—
377	#2896	C₂²×C₄	1	4	yes	—
378	#2896	C₂²×C₄	1	4	yes	—
379	#2896	C₂²×C₄	1	4	yes	—
380	C₂×#417	C₂×D₄	1	8	yes	complemented
381	C₂×#418	C₂²×C₄	1	4	yes	—
382	C₂×#418	C₂²×C₄	1	4	yes	—
383	C₂×#418	C₂×D₄	1	4	yes	—
384	C₂×#418	C₂×D₄	1	4	yes	—
385	C₂×#418	C₂×D₄	1	8	yes	complemented
386	C₂²×#102	C₂×D₄	1	4	yes	—
387	C₂²×#102	C₂×D₄	1	4	yes	—
388	#2879	C₂²×C₄	1	4	yes	—
389	C₂×#407	C₂²×C₄	1	4	yes	—
390	C₂×#407	C₂×D₄	1	4	yes	—
391	C₂²×C₂²⋊C₈	C₂×D₄	1	4	yes	—
392	#2873	C₂²×C₄	1	4	yes	—
393	#2297	C₂×D₄	1	8	yes	complemented
394	C₂×#391	C₂×D₄	1	4	yes	—
395	C₂×#390	C₂×D₄	1	4	yes	—
396	C₂×#386	C₂×D₄	1	4	yes	—
397	C₂×#386	C₂×D₄	1	4	yes	—
398	C₂×#381	C₂×D₄	1	2	yes	—
399	C₂×#379	C₂×D₄	1	2	yes	—
400	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	4	yes	—
401	#1736	C₂×D₄	1	8	yes	complemented
402	#1728	C₂×D₄	1	8	yes	complemented
403	C₄⋊#95	C₂×D₄	1	8	yes	—
404	C₂²⋊#95	C₂×D₄	1	4	yes	—
405	C₂²⋊#95	C₂×D₄	1	4	yes	—
406	C₂⁶	C₂²×D₄	1	1	yes	characteristic
407	C₂²×#41	C₂×C₂²⋊C₄	1	8	yes	—
408	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	complemented
409	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	complemented
410	C₂²×#41	C₂³×C₄	1	2	yes	—
411	C₂²×#41	C₂³×C₄	1	2	yes	—
412	C₂²×#41	C₂³×C₄	1	2	yes	—
413	C₂²×#41	C₂³×C₄	1	2	yes	—
414	C₂²×#41	C₂³×C₄	1	2	yes	—
415	C₂²×#41	C₂²×D₄	1	2	yes	—
416	C₂²×#41	C₂²×D₄	1	2	yes	—
417	C₂²×#41	C₂²×D₄	1	2	yes	—
418	C₂²×#41	C₂²×D₄	1	2	yes	—
419	C₂²×#41	C₂²×D₄	1	4	yes	—
420	C₂²×#41	C₂²×D₄	1	2	yes	—
421	C₂²×#41	C₂×#41	1	4	yes	—
422	C₂²×#41	C₂×#41	1	2	yes	—
423	C₂²×#41	C₂×#41	1	2	yes	—
424	C₂³×Q₈	C₂×C₂²⋊C₄	1	4	yes	complemented
425	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
426	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
427	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
428	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
429	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
430	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
431	C₂³×D₄	C₂×C₂²⋊C₄	1	16	yes	—
432	C₂³×D₄	C₂×C₂²⋊C₄	1	16	yes	—
433	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
434	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
435	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	complemented
436	C₂³×D₄	#120	1	16	yes	—
437	C₂³×D₄	#120	1	8	yes	—
438	C₂³×D₄	#120	1	8	yes	—
439	C₂³×D₄	#120	1	8	yes	—
440	C₂³×D₄	#120	1	8	yes	—
441	C₂³×D₄	#120	1	16	yes	—
442	C₂³×D₄	#120	1	4	yes	—
443	C₂³×D₄	C₂³×C₄	1	2	yes	—
444	C₂³×D₄	C₂³×C₄	1	2	yes	—
445	C₂³×D₄	C₂²×D₄	1	2	yes	—
446	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
447	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
448	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
449	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
450	C₂³×D₄	C₂²×D₄	1	2	yes	—
451	C₂³×D₄	C₂²×D₄	1	2	yes	—
452	C₂³×D₄	C₂²×D₄	1	2	yes	—
453	C₂³×D₄	C₂²×D₄	1	2	yes	—
454	C₂³×D₄	C₂²×D₄	1	2	yes	—
455	C₂³×D₄	C₂²×D₄	1	2	yes	—
456	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
457	C₂³×D₄	C₂²×D₄	1	2	yes	—
458	C₂³×D₄	C₂²×D₄	1	2	yes	—
459	C₂³×D₄	C₂²×D₄	1	2	yes	—
460	C₂³×D₄	C₂²×D₄	1	2	yes	—
461	C₂³×D₄	C₂²×D₄	1	2	yes	—
462	C₂³×D₄	C₂²×D₄	1	2	yes	—
463	C₂³×D₄	C₂²×D₄	1	4	yes	—
464	C₂³×D₄	C₂×#41	1	4	yes	—
465	C₂³×D₄	H(5,𝔽₂)	1	4	yes	—
466	C₂³×D₄	H(5,𝔽₂)	1	4	yes	—
467	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
468	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
469	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
470	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
471	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
472	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
473	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
474	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
475	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
476	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
477	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
478	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
479	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
480	C₂⁴×C₄	C₂×#41	1	2	yes	—
481	C₂⁴×C₄	C₂×#41	1	2	yes	—
482	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
483	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
484	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
485	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
486	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
487	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
488	C₂×AGL(1,ℤ/8)	C₄×D₄	1	32	yes	—
489	C₂×AGL(1,ℤ/8)	#121	1	32	yes	—
490	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	—
491	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	—
492	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	—
493	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
494	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
495	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
496	C₂²×SD₁₆	#120	1	8	yes	—
497	C₂²×SD₁₆	#123	1	8	yes	—
498	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	—
499	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	—
500	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	—
501	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	complemented
502	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	complemented
503	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	complemented
504	C₂²×D₈	#120	1	8	yes	—
505	C₂²×D₈	#123	1	8	yes	—
506	C₂²×M₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
507	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
508	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
509	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
510	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
511	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
512	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
513	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
514	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
515	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
516	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
517	C₂²×M₁₆	C₂×#41	1	4	yes	—
518	C₂³×C₈	C₂×C₂²⋊C₄	1	8	yes	complemented
519	C₂³×C₈	C₂²×D₄	1	2	yes	—
520	C₂³×C₈	C₂²×D₄	1	2	yes	—
521	C₂³×C₈	C₂²×D₄	1	2	yes	—
522	C₂³×C₈	C₂²×D₄	1	2	yes	—
523	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
524	C₂×#124	C₂×C₂²⋊C₄	1	8	yes	—
525	C₂×#123	C₄×D₄	1	8	yes	—
526	C₂×#123	#121	1	8	yes	—
527	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	8	yes	—
528	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	8	yes	complemented
529	C₂×C₂²⋊Q₈	C₄×D₄	1	8	yes	—
530	C₂×C₂²⋊Q₈	#121	1	8	yes	—
531	C₂×#121	C₂×C₂²⋊C₄	1	8	yes	—
532	C₂×#121	C₂×C₂²⋊C₄	1	16	yes	—
533	C₂×#121	C₂×C₂²⋊C₄	1	8	yes	complemented
534	C₂×#121	C₄×D₄	1	8	yes	—
535	C₂×#121	#121	1	8	yes	—
536	C₂×#120	C₄×D₄	1	8	yes	—
537	C₂×#120	#121	1	8	yes	—
538	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	16	yes	—
539	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	16	yes	—
540	C₂×C₄×D₄	#123	1	16	yes	—
541	C₂×#117	C₂³×C₄	1	2	yes	—
542	C₂×#117	C₂³×C₄	1	2	yes	—
543	C₂×#117	C₂³×C₄	1	2	yes	—
544	C₂×#117	C₂²×D₄	1	4	yes	—
545	C₂×#117	C₂²×D₄	1	2	yes	—
546	C₂×#117	C₂²×D₄	1	2	yes	—
547	C₂×#117	C₂²×D₄	1	2	yes	—
548	C₂×#117	C₂×#41	1	2	yes	—
549	C₂×#117	C₂×#41	1	2	yes	—
550	C₂²×C₄⋊C₄	#120	1	4	yes	—
551	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
552	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
553	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
554	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
555	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
556	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
557	C₂²×C₂²⋊C₄	#120	1	4	yes	—
558	C₂²×C₂²⋊C₄	#120	1	4	yes	—
559	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
560	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
561	C₂²×C₄²	C₂²×D₄	1	4	yes	—
562	C₂²×C₄²	C₂²×D₄	1	4	yes	—
563	C₂²×C₄²	C₂²×D₄	1	2	yes	—
564	C₂²×C₄²	H(5,𝔽₂)	1	4	yes	—
565	C₂×#102	C₂×C₂²⋊C₄	1	16	yes	—
566	C₂×#102	C₂×C₂²⋊C₄	1	16	yes	complemented
567	C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	1	16	yes	complemented
568	C₂⁵	C₂×C₄×D₄	1	2	yes	—
569	C₂⁵	C₂×#120	1	2	yes	—
570	C₂⁵	C₂×#120	1	2	yes	—
571	C₂⁵	C₂×#121	1	2	yes	—
572	C₂⁵	D₄²	1	2	yes	—
573	C₂⁵	D₄²	1	1	yes	characteristic
574	C₂⁵	D₄²	1	1	yes	characteristic
575	C₂⁵	D₄²	1	2	yes	—
576	C₂⁵	D₄²	1	2	yes	—
577	C₂⁵	C₂³×D₄	1	1	yes	characteristic
578	C₂×#41	C₂×C₄×D₄	1	8	yes	—
579	C₂×#41	C₂×#121	1	8	yes	—
580	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
581	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
582	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
583	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
584	C₂²×Q₈	C₂×C₄×D₄	1	2	yes	—
585	C₂²×Q₈	C₂×#120	1	2	yes	—
586	C₂²×Q₈	C₂×#121	1	2	yes	—
587	C₂²×Q₈	C₂×#123	1	2	yes	—
588	C₂²×D₄	#379	1	32	yes	—
589	C₂²×D₄	#379	1	32	yes	—
590	C₂²×D₄	#386	1	16	yes	—
591	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
592	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
593	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
594	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
595	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
596	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
597	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
598	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
599	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
600	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
601	C₂²×D₄	C₂×C₄×D₄	1	2	yes	—
602	C₂²×D₄	C₂×C₄×D₄	1	8	yes	—
603	C₂²×D₄	C₂×C₄×D₄	1	4	yes	—
604	C₂²×D₄	#518	1	8	yes	—
605	C₂²×D₄	C₂×#120	1	4	yes	—
606	C₂²×D₄	C₂×#120	1	4	yes	—
607	C₂²×D₄	C₂×#120	1	4	yes	—
608	C₂²×D₄	C₂×#120	1	4	yes	—
609	C₂²×D₄	C₂×#120	1	2	yes	—
610	C₂²×D₄	C₂×#120	1	4	yes	—
611	C₂²×D₄	C₂×#120	1	4	yes	—
612	C₂²×D₄	C₂×#120	1	4	yes	—
613	C₂²×D₄	C₂×#120	1	4	yes	—
614	C₂²×D₄	C₂×#120	1	4	yes	—
615	C₂²×D₄	C₂×#121	1	2	yes	—
616	C₂²×D₄	C₂×#121	1	8	yes	—
617	C₂²×D₄	C₂×#121	1	4	yes	—
618	C₂²×D₄	C₂×#123	1	2	yes	—
619	C₂²×D₄	C₂×#123	1	4	yes	—
620	C₂²×D₄	#534	1	4	yes	—
621	C₂²×D₄	#534	1	4	yes	—
622	C₂²×D₄	#534	1	8	yes	—
623	C₂²×D₄	D₄²	1	8	yes	—
624	C₂²×D₄	D₄²	1	8	yes	—
625	C₂²×D₄	D₄²	1	8	yes	—
626	C₂²×D₄	D₄²	1	8	yes	—
627	C₂²×D₄	#546	1	8	yes	—
628	C₂²×D₄	#546	1	8	yes	—
629	C₂²×D₄	#546	1	8	yes	—
630	C₂²×D₄	#546	1	8	yes	—
631	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
632	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
633	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
634	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
635	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
636	C₂³×C₄	C₂×C₄×D₄	1	4	yes	—
637	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
638	C₂³×C₄	#518	1	4	yes	—
639	C₂³×C₄	#518	1	2	yes	—
640	C₂³×C₄	#518	1	2	yes	—
641	C₂³×C₄	C₂×#120	1	2	yes	—
642	C₂³×C₄	C₂×#120	1	2	yes	—
643	C₂³×C₄	C₂×#120	1	2	yes	—
644	C₂³×C₄	C₂×#120	1	2	yes	—
645	C₂³×C₄	C₂×#120	1	4	yes	—
646	C₂³×C₄	C₂×#120	1	2	yes	—
647	C₂³×C₄	C₂×#120	1	2	yes	—
648	C₂³×C₄	C₂×#120	1	4	yes	—
649	C₂³×C₄	C₂×#120	1	4	yes	—
650	C₂³×C₄	C₂×#121	1	4	yes	—
651	C₂³×C₄	C₂×#121	1	2	yes	—
652	C₂³×C₄	C₂×#123	1	4	yes	—
653	C₂³×C₄	C₂×#123	1	4	yes	—
654	C₂³×C₄	#534	1	2	yes	—
655	C₂³×C₄	#534	1	2	yes	—
656	C₂³×C₄	#534	1	4	yes	—
657	C₂³×C₄	#534	1	2	yes	—
658	C₂³×C₄	#534	1	4	yes	—
659	C₂³×C₄	#534	1	2	yes	—
660	C₂³×C₄	D₄²	1	2	yes	—
661	C₂³×C₄	D₄²	1	1	yes	characteristic
662	C₂³×C₄	D₄²	1	1	yes	characteristic
663	C₂³×C₄	D₄²	1	2	yes	—
664	C₂³×C₄	D₄²	1	2	yes	—
665	C₂³×C₄	D₄²	1	2	yes	—
666	C₂³×C₄	D₄²	1	2	yes	—
667	C₂³×C₄	D₄²	1	2	yes	—
668	C₂³×C₄	D₄²	1	2	yes	—
669	C₂³×C₄	D₄²	1	4	yes	—
670	C₂³×C₄	D₄²	1	4	yes	—
671	C₂³×C₄	D₄²	1	4	yes	—
672	C₂³×C₄	D₄²	1	4	yes	—
673	C₂³×C₄	#546	1	2	yes	—
674	C₂³×C₄	#546	1	2	yes	—
675	C₂³×C₄	#546	1	2	yes	—
676	C₂³×C₄	#546	1	4	yes	—
677	C₂³×C₄	#546	1	4	yes	—
678	C₂³×C₄	#546	1	2	yes	—
679	C₂³×C₄	#546	1	4	yes	—
680	C₂³×C₄	#546	1	4	yes	—
681	C₂³×C₄	#546	1	2	yes	—
682	C₂³×C₄	#546	1	2	yes	—
683	C₂³×C₄	#546	1	2	yes	—
684	C₂³×C₄	#546	1	2	yes	—
685	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
686	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
687	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
688	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
689	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
690	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
691	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
692	C₂³×C₄	C₂³×D₄	1	2	yes	—
693	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
694	C₂³×C₄	C₂²×#41	1	2	yes	—
695	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
696	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
697	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
698	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
699	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
700	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
701	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
702	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
704	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
705	C₂³×C₄	#585	1	2	yes	—
706	C₂³×C₄	#585	1	2	yes	—
707	C₂×SD₁₆	#386	1	32	yes	complemented
708	C₂×D₈	#386	1	32	yes	complemented
709	C₂×M₁₆	C₂×C₄×D₄	1	8	yes	—
710	C₂×M₁₆	C₂×#121	1	8	yes	—
711	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
712	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
713	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
714	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
715	C₂²×C₈	C₂×#120	1	4	yes	—
716	C₂²×C₈	C₂×#123	1	4	yes	—
717	C₂×C₄⋊C₄	#386	1	16	yes	—
718	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
719	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
720	C₂×C₄⋊C₄	C₂×C₄×D₄	1	4	yes	—
721	C₂×C₄⋊C₄	C₂×#121	1	4	yes	—
722	C₂×C₄⋊C₄	D₄²	1	8	yes	—
723	C₂×C₂²⋊C₄	#386	1	16	yes	—
724	C₂×C₂²⋊C₄	#386	1	16	yes	—
725	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	4	yes	—
726	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
727	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
728	C₂×C₄²	C₂×#123	1	4	yes	—
729	C₂⁴	C₂×#386	1	4	yes	—
730	C₂⁴	C₂×#386	1	4	yes	—
731	C₂⁴	D₄×C₂²⋊C₄	1	4	yes	—
732	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
733	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
734	C₂⁴	#2403	1	2	yes	—
735	C₂⁴	#2403	1	2	yes	—
736	C₂⁴	#2403	1	4	yes	—
737	C₂⁴	#2410	1	4	yes	—
738	C₂⁴	#2410	1	2	yes	—
739	C₂⁴	#2410	1	2	yes	—
740	C₂⁴	C₂²×C₄×D₄	1	1	yes	characteristic
741	C₂⁴	C₂²×#120	1	1	yes	characteristic
742	C₂⁴	C₂²×#121	1	1	yes	characteristic
743	C₂⁴	C₂×D₄²	1	1	yes	characteristic
744	C₂⁴	C₂×D₄²	1	1	yes	characteristic
745	C₂⁴	C₂×D₄²	1	1	yes	characteristic
746	C₂⁴	C₂×D₄²	1	1	yes	characteristic
747	C₂⁴	C₂×D₄²	1	2	yes	—
748	C₂⁴	D₄×#41	1	2	yes	—
749	C₂⁴	#3484	1	2	yes	—
750	C₂⁴	#3488	1	2	yes	—
751	C₂×Q₈	C₂×#386	1	4	yes	—
752	C₂×D₄	C₂×#379	1	8	yes	—
753	C₂×D₄	C₂×#379	1	8	yes	—
754	C₂×D₄	C₂×#386	1	4	yes	—
755	C₂×D₄	C₂×#386	1	8	yes	—
756	C₂×D₄	#2308	1	8	yes	—
757	C₂×D₄	D₄×C₂²⋊C₄	1	16	yes	—
758	C₂×D₄	D₄×C₂²⋊C₄	1	16	yes	—
759	C₂×D₄	#2403	1	8	yes	—
760	C₂×D₄	#2403	1	8	yes	—
761	C₂×D₄	#2405	1	8	yes	—
762	C₂×D₄	#2405	1	8	yes	—
763	C₂×D₄	#2410	1	16	yes	—
764	C₂×D₄	#2410	1	16	yes	—
765	C₂²×C₄	C₂×#379	1	4	yes	—
766	C₂²×C₄	C₂×#379	1	4	yes	—
767	C₂²×C₄	C₂×#386	1	4	yes	—
768	C₂²×C₄	C₂×#386	1	4	yes	—
769	C₂²×C₄	C₂×#386	1	8	yes	—
770	C₂²×C₄	#2308	1	4	yes	—
771	C₂²×C₄	#2308	1	4	yes	—
772	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
773	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
774	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
775	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
776	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
777	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
778	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
779	C₂²×C₄	#2403	1	4	yes	—
780	C₂²×C₄	#2403	1	2	yes	—
781	C₂²×C₄	#2403	1	2	yes	—
782	C₂²×C₄	#2405	1	4	yes	—
783	C₂²×C₄	#2405	1	4	yes	—
784	C₂²×C₄	#2405	1	4	yes	—
785	C₂²×C₄	#2405	1	4	yes	—
786	C₂²×C₄	#2410	1	4	yes	—
787	C₂²×C₄	#2410	1	2	yes	—
788	C₂²×C₄	#2410	1	2	yes	—
789	C₂²×C₄	#2410	1	4	yes	—
790	C₂²×C₄	#2410	1	4	yes	—
791	C₂²×C₄	#2410	1	4	yes	—
792	C₂²×C₄	#2410	1	4	yes	—
793	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
794	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
795	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
796	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
797	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
798	C₂²×C₄	C₂×#518	1	2	yes	—
799	C₂²×C₄	C₂×#518	1	1	yes	characteristic
800	C₂²×C₄	C₂×#518	1	1	yes	characteristic
801	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
802	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
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	2	yes	—
809	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
810	C₂²×C₄	C₂²×#123	1	1	yes	characteristic
811	C₂²×C₄	C₂²×#123	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×#534	1	1	yes	characteristic
817	C₂²×C₄	C₂×#534	1	1	yes	characteristic
818	C₂²×C₄	C₂×#534	1	2	yes	—
819	C₂²×C₄	C₂×D₄²	1	2	yes	—
820	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
821	C₂²×C₄	C₂×D₄²	1	2	yes	—
822	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
823	C₂²×C₄	C₂×D₄²	1	2	yes	—
824	C₂²×C₄	C₂×D₄²	1	2	yes	—
825	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
826	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
827	C₂²×C₄	C₂×D₄²	1	2	yes	—
828	C₂²×C₄	C₂×#546	1	2	yes	—
829	C₂²×C₄	C₂×#546	1	2	yes	—
830	C₂²×C₄	C₂×#546	1	2	yes	—
831	C₂²×C₄	C₂×#546	1	2	yes	—
832	C₂²×C₄	C₂×#546	1	1	yes	characteristic
833	C₂²×C₄	C₂×#546	1	1	yes	characteristic
834	C₂²×C₄	C₂×#546	1	1	yes	characteristic
835	C₂²×C₄	C₂×#546	1	1	yes	characteristic
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	C₂×#546	1	1	yes	characteristic
840	C₂²×C₄	D₄×#41	1	2	yes	—
841	C₂²×C₄	D₄×#41	1	2	yes	—
842	C₂²×C₄	D₄×#41	1	2	yes	—
843	C₂²×C₄	#3481	1	2	yes	—
844	C₂²×C₄	#3481	1	2	yes	—
845	C₂²×C₄	#3484	1	1	yes	characteristic
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	1	yes	characteristic
852	C₂²×C₄	#3485	1	1	yes	characteristic
853	C₂²×C₄	#3485	1	2	yes	—
854	C₂²×C₄	#3485	1	2	yes	—
855	C₂²×C₄	#3485	1	1	yes	characteristic
856	C₂²×C₄	#3488	1	2	yes	—
857	C₂²×C₄	#3488	1	2	yes	—
858	C₂²×C₄	#3488	1	2	yes	—
859	C₂²×C₄	#3496	1	2	yes	—
860	C₂²×C₄	#3496	1	2	yes	—
861	C₂²×C₄	#3496	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	#3513	1	2	yes	—
866	C₂²×C₄	#3513	1	2	yes	—
867	C₂²×C₄	#3513	1	2	yes	—
868	C₂²×C₄	#3513	1	2	yes	—
869	C₂²×C₄	#3519	1	2	yes	—
870	C₂²×C₄	#3519	1	2	yes	—
871	C₂²×C₄	#3519	1	2	yes	—
872	C₂²×C₄	#3519	1	2	yes	—
873	C₂²×C₄	#3532	1	2	yes	—
874	C₂²×C₄	#3532	1	2	yes	—
875	C₂²×C₄	#3534	1	2	yes	—
876	C₂²×C₄	#3534	1	2	yes	—
877	C₂²×C₄	#3534	1	2	yes	—
878	C₂²×C₄	#3534	1	2	yes	—
879	C₂²×C₄	#3537	1	2	yes	—
880	C₂²×C₄	#3537	1	2	yes	—
881	C₂×C₈	C₂×#386	1	8	yes	—
882	C₂³	#13867	1	4	yes	—
883	C₂³	#13867	1	4	yes	—
884	C₂³	C₂²×#386	1	1	yes	characteristic
885	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
886	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
887	C₂³	C₄×D₄²	1	2	yes	—
888	C₂³	#34290	1	2	yes	—
889	C₂³	C₂×#2403	1	1	yes	characteristic
890	C₂³	C₂×#2403	1	1	yes	characteristic
891	C₂³	C₂×#2410	1	1	yes	characteristic
892	C₂³	C₂×#2410	1	1	yes	characteristic
893	C₂³	D₄×#120	1	1	yes	characteristic
894	C₂³	D₄×#120	1	2	yes	—
895	C₂³	D₄×#121	1	2	yes	—
896	C₂³	D₄×#121	1	2	yes	—
897	C₂³	D₄×#123	1	1	yes	characteristic
898	C₂³	#36212	1	2	yes	—
899	C₂³	#36214	1	2	yes	—
900	C₂³	#37644	1	1	yes	characteristic
901	C₂³	#37646	1	1	yes	characteristic
902	C₂³	#37672	1	2	yes	—
903	C₂³	#58990	1	2	yes	—
904	C₂³	#58994	1	2	yes	—
905	C₂³	#58997	1	2	yes	—
906	C₂³	#59123	1	2	yes	—
907	D₄	#13867	1	16	yes	—
908	C₂×C₄	#13867	1	4	yes	—
909	C₂×C₄	#13867	1	4	yes	—
910	C₂×C₄	C₂²×#379	1	1	yes	characteristic
911	C₂×C₄	C₂²×#386	1	1	yes	characteristic
912	C₂×C₄	C₂×#2308	1	1	yes	characteristic
913	C₂×C₄	C₂×#2308	1	1	yes	characteristic
914	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
915	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
916	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
917	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
918	C₂×C₄	C₄×D₄²	1	2	yes	—
919	C₂×C₄	#34256	1	2	yes	—
920	C₂×C₄	#34256	1	1	yes	characteristic
921	C₂×C₄	#34256	1	2	yes	—
922	C₂×C₄	#34256	1	1	yes	characteristic
923	C₂×C₄	#34290	1	2	yes	—
924	C₂×C₄	#34290	1	2	yes	—
925	C₂×C₄	#34290	1	2	yes	—
926	C₂×C₄	#34468	1	2	yes	—
927	C₂×C₄	#34468	1	2	yes	—
928	C₂×C₄	C₂×#2403	1	1	yes	characteristic
929	C₂×C₄	C₂×#2403	1	1	yes	characteristic
930	C₂×C₄	C₂×#2410	1	1	yes	characteristic
931	C₂×C₄	C₂×#2410	1	2	yes	—
932	C₂×C₄	C₂×#2410	1	1	yes	characteristic
933	C₂×C₄	C₂×#2410	1	2	yes	—
934	C₂×C₄	C₂×#2405	1	1	yes	characteristic
935	C₂×C₄	C₂×#2405	1	1	yes	characteristic
936	C₂×C₄	C₂×#2405	1	1	yes	characteristic
937	C₂×C₄	C₂×#2405	1	1	yes	characteristic
938	C₂×C₄	#35346	1	1	yes	characteristic
939	C₂×C₄	#35347	1	1	yes	characteristic
940	C₂×C₄	#35347	1	2	yes	—
941	C₂×C₄	#35347	1	1	yes	characteristic
942	C₂×C₄	#35347	1	2	yes	—
943	C₂×C₄	#35446	1	1	yes	characteristic
944	C₂×C₄	D₄×#120	1	1	yes	characteristic
945	C₂×C₄	D₄×#121	1	2	yes	—
946	C₂×C₄	D₄×#121	1	2	yes	—
947	C₂×C₄	D₄×#123	1	1	yes	characteristic
948	C₂×C₄	D₄×#123	1	2	yes	—
949	C₂×C₄	#36212	1	1	yes	characteristic
950	C₂×C₄	#36212	1	1	yes	characteristic
951	C₂×C₄	#36214	1	2	yes	—
952	C₂×C₄	#36214	1	2	yes	—
953	C₂×C₄	#36214	1	2	yes	—
954	C₂×C₄	#36236	1	2	yes	—
955	C₂×C₄	#36236	1	1	yes	characteristic
956	C₂×C₄	#36236	1	1	yes	characteristic
957	C₂×C₄	#37644	1	2	yes	—
958	C₂×C₄	#37644	1	1	yes	characteristic
959	C₂×C₄	#37646	1	1	yes	characteristic
960	C₂×C₄	#37646	1	2	yes	—
961	C₂×C₄	#37672	1	2	yes	—
962	C₂×C₄	#37672	1	2	yes	—
963	C₂×C₄	#37672	1	2	yes	—
964	C₂×C₄	#38020	1	1	yes	characteristic
965	C₂×C₄	#38020	1	2	yes	—
966	C₂×C₄	#38020	1	1	yes	characteristic
967	C₂×C₄	#38022	1	2	yes	—
968	C₂×C₄	#38022	1	1	yes	characteristic
969	C₂×C₄	#38022	1	1	yes	characteristic
970	C₂×C₄	#38076	1	2	yes	—
971	C₂×C₄	#38076	1	2	yes	—
972	C₂×C₄	#38076	1	2	yes	—
973	C₂×C₄	#38076	1	2	yes	—
974	C₂×C₄	#58990	1	2	yes	—
975	C₂×C₄	#58994	1	2	yes	—
976	C₂×C₄	#58994	1	2	yes	—
977	C₂×C₄	#58994	1	2	yes	—
978	C₂×C₄	#58997	1	2	yes	—
979	C₂×C₄	#59089	1	2	yes	—
980	C₂×C₄	#59089	1	2	yes	—
981	C₂×C₄	#59123	1	2	yes	—
982	C₂×C₄	#59123	1	2	yes	—
983	C₂×C₄	#59123	1	2	yes	—
984	C₂×C₄	#59802	1	2	yes	—
985	C₂×C₄	#59802	1	2	yes	—
986	C₂²	C₂×#13867	1	1	yes	characteristic
987	C₂²	D₄×#386	1	2	yes	—
988	C₂²	D₄×#386	1	1	yes	characteristic
989	C₂²	#524461	1	1	yes	characteristic
990	C₂²	#534306	1	2	yes	—
991	C₂²	#647656	1	1	yes	characteristic
992	C₂²	#647658	1	1	yes	characteristic
993	C₂²	#647714	1	2	yes	—
994	C₂²	#647714	1	1	yes	characteristic
995	C₂²	#647716	1	1	yes	characteristic
996	C₂²	#649101	1	2	yes	—
997	C₂²	#6437576	1	4	yes	—
998	C₄	C₂×#13867	1	1	yes	characteristic
999	C₄	#516323	1	1	yes	characteristic
1000	C₄	D₄×#386	1	1	yes	characteristic
1001	C₄	#524461	1	2	yes	—
1002	C₄	#524461	1	1	yes	characteristic
1003	C₄	#534306	1	2	yes	—
1004	C₄	#647658	1	1	yes	characteristic
1005	C₄	#647714	1	1	yes	characteristic
1006	C₄	#647716	1	2	yes	—
1007	C₄	#647716	1	1	yes	characteristic
1008	C₄	#649101	1	2	yes	—
1009	C₄	#663621	1	1	yes	characteristic
1010	C₂	#72239541	1	2	yes	—
1011	C₂	#72255935	1	2	yes	—
1012	C₂	#72298498	1	1	yes	characteristic
1013	C₂	#72313120	1	2	yes	—

	subgroup	G/H
center, socle	C₂³	C₂×#2403
commutator	C₂³×C₄	C₂⁴×C₄
Frattini, cosocle	C₂⁴×C₄	C₂⁵
prime radical	C₂×#10576108	C₂
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ 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. #72317043	C₂	semidirect
2. #72317042	C₂	semidirect
3. #72317041	C₂	semidirect
4. #72317040	C₂	semidirect
5. #72317039	C₂	semidirect
6. #72317038	C₂	semidirect
7. #72317037	C₂	semidirect
8. #72317036	C₂	semidirect
9. #72317035	C₂	semidirect
10. #72317034	C₂	semidirect
11. #72316748	C₂	semidirect
12. #72316747	C₂	semidirect
13. #72316744	C₂	semidirect
14. #72316743	C₂	semidirect
15. C₂×#6371420	C₂	semidirect
16. #72239567	C₂	semidirect
17. #72239564	C₂	semidirect
18. #72239551	C₂	semidirect
19. C₂×#374114	C₂	semidirect
20. C₂×#359639	C₂	semidirect
22. C₂×#359472	C₂	semidirect
23. C₂×#359576	C₂	semidirect
28. C₂³×#518	C₂²	semidirect
29. #10576108	C₄	semidirect
41. C₂²×#2896	C₂²	semidirect
42. C₂³×#418	C₂²	semidirect
43. C₂×#34256	C₂²	semidirect
44. C₂×#34171	C₂²	semidirect
45. C₂×#34044	C₂²	semidirect
47. C₂²×#1904	C₂²	semidirect
48. C₂²×#1904	C₂²	semidirect
51. C₂×#20983	C₂²	semidirect
52. C₂×#20979	C₂²	semidirect
54. C₂×#20925	C₂²	semidirect
55. C₂×#20925	C₂²	semidirect
56. C₂×#20925	C₂²	semidirect
57. C₂×#20925	C₂²	semidirect
58. C₂×#20925	C₂²	semidirect
59. C₂×#20910	C₂²	semidirect
60. C₂×#20902	C₂²	semidirect
61. C₂×#20902	C₂²	semidirect
62. C₂²×#1795	C₂²	semidirect
63. C₂×#20618	C₂²	semidirect
64. C₂×#20608	C₂²	semidirect
65. C₂×#20605	C₂²	semidirect
66. C₂×#20598	C₂²	semidirect
67. C₂×#20584	C₂²	semidirect
68. C₂×#20347	C₂²	semidirect
69. C₂×#20335	C₂²	semidirect
70. #516581	C₂²	semidirect
71. #516581	C₂²	semidirect
73. #516387	C₂²	semidirect
75. #515029	C₂²	semidirect
76. #515029	C₂²	semidirect
77. #513747	C₂²	semidirect
78. C₂×#11183	C₂²	semidirect
79. C₂×#11036	C₂²	semidirect
80. C₂×#11036	C₂²	semidirect
81. C₂×#11036	C₂²	semidirect
82. C₂×#11012	C₂²	semidirect
83. C₂×#11012	C₂²	semidirect
84. C₂×#11012	C₂²	semidirect
85. #357552	C₂²	semidirect
86. C₂×#11041	C₂²	semidirect
87. C₂×#11041	C₂²	semidirect
88. C₂×#11041	C₂²	semidirect
89. C₂×#11006	C₂²	semidirect
90. #357490	C₂²	semidirect
91. #357480	C₂²	semidirect
92. #357480	C₂²	semidirect
93. C₂×#10984	C₂²	semidirect
94. C₂×#10785	C₂²	semidirect
95. #353460	C₂²	semidirect
96. C₂×#10746	C₂²	semidirect
97. #353426	C₂²	semidirect
98. C₂×#10742	C₂²	semidirect
99. C₂×#10737	C₂²	semidirect
100. #353393	C₂²	semidirect
101. #353367	C₂²	semidirect
102. #353367	C₂²	semidirect
103. C₂×#10776	C₂²	semidirect
104. C₂×#10729	C₂²	semidirect
105. C₂×#10717	C₂²	semidirect
106. C₂×#10716	C₂²	semidirect
107. #353287	C₂²	semidirect
108. #124024	C₂²	semidirect
109. #124020	C₂²	semidirect
110. #123937	C₂²	semidirect
111. #123901	C₂²	semidirect
112. #123614	C₂²	semidirect
113. #123614	C₂²	semidirect
114. #123614	C₂²	semidirect
115. #123608	C₂²	semidirect
116. #123592	C₂²	semidirect
117. #123585	C₂²	semidirect
118. #123557	C₂²	semidirect
119. #123557	C₂²	semidirect
120. #123557	C₂²	semidirect
121. #123557	C₂²	semidirect
122. #123482	C₂²	semidirect
123. #123465	C₂²	semidirect
128. C₂×#3585	C₂×C₄	semidirect
147. #62811	C₂×C₄	semidirect
167. #60644	C₂×C₄	semidirect
168. #60454	C₂×C₄	semidirect
169. #60444	C₂×C₄	semidirect
170. #60426	C₂×C₄	semidirect
171. #60423	C₂×C₄	semidirect
172. #60369	C₂×C₄	semidirect
173. #60367	C₂×C₄	semidirect
174. #60359	C₂×C₄	semidirect
179. #60168	C₂×C₄	semidirect
180. #60141	C₂×C₄	semidirect
221. #20925	D₄	semidirect
285. C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	semidirect
286. C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	semidirect
301. C₂³×SD₁₆	C₂²⋊C₄	semidirect
308. C₂³×D₈	C₂²⋊C₄	semidirect
326. C₂×#546	C₂²⋊C₄	semidirect
327. C₂×D₄²	C₂²⋊C₄	semidirect
358. C₂²×C₄×D₄	C₂×D₄	semidirect
372. C₂×#450	C₂²⋊C₄	semidirect
373. C₂×#447	C₂²⋊C₄	semidirect
380. C₂×#417	C₂×D₄	semidirect
385. C₂×#418	C₂×D₄	semidirect
393. #2297	C₂×D₄	semidirect
401. #1736	C₂×D₄	semidirect
402. #1728	C₂×D₄	semidirect
408. C₂²×#41	C₂×C₂²⋊C₄	semidirect
409. C₂²×#41	C₂×C₂²⋊C₄	semidirect
424. C₂³×Q₈	C₂×C₂²⋊C₄	semidirect
435. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
493. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
494. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
495. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
501. C₂²×D₈	C₂×C₂²⋊C₄	semidirect
502. C₂²×D₈	C₂×C₂²⋊C₄	semidirect
503. C₂²×D₈	C₂×C₂²⋊C₄	semidirect
506. C₂²×M₁₆	C₂×C₂²⋊C₄	semidirect
518. C₂³×C₈	C₂×C₂²⋊C₄	semidirect
528. C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	semidirect
533. C₂×#121	C₂×C₂²⋊C₄	semidirect
566. C₂×#102	C₂×C₂²⋊C₄	semidirect
567. C₂×C₂²⋊C₈	C₂×C₂²⋊C₄	semidirect
707. C₂×SD₁₆	#386	semidirect
708. C₂×D₈	#386	semidirect

Maximal subgroups

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

subgroup	index
#72317043	2
#72317042	2
#72317041	2
#72317040	2
#72317039	2
#72317038	2
#72317037	2
#72317036	2
#72317035	2
#72317034	2
#72316748	2
#72316747	2
#72316744	2
#72316743	2
C₂×#6371420	2
#72239567	2
#72239564	2
#72239551	2
C₂×#374114	2
C₂×#359639	2
C₂×#10576108	2
C₂×#359472	2
C₂×#359576	2