Subgroups — #72317527

Order 2048.

At least 14453 conjugacy classes of subgroups; only the 2960 normal subgroups are shown.

The subgroup lattice has 1227 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72317503	C₂	1	1	yes	maximal, characteristic, complemented
2	#72317493	C₂	1	1	yes	maximal, characteristic, complemented
3	#72317483	C₂	1	1	yes	maximal, characteristic, complemented
4	#72317478	C₂	1	1	yes	maximal, characteristic, complemented
5	#72317468	C₂	1	1	yes	maximal, characteristic, complemented
6	#72317451	C₂	1	1	yes	maximal, characteristic, complemented
7	#72317449	C₂	1	1	yes	maximal, characteristic, complemented
8	#72317330	C₂	1	1	yes	maximal, characteristic, complemented
9	#72317322	C₂	1	1	yes	maximal, characteristic, complemented
10	#72317308	C₂	1	1	yes	maximal, characteristic, complemented
11	#72317304	C₂	1	1	yes	maximal, characteristic, complemented
12	#72316948	C₂	1	1	yes	maximal, characteristic, complemented
13	#72314477	C₂	1	1	yes	maximal, characteristic, complemented
14	#72256500	C₂	1	1	yes	maximal, characteristic, complemented
15	#72256494	C₂	1	1	yes	maximal, characteristic, complemented
16	#72256352	C₂	1	1	yes	maximal, characteristic, complemented
17	#72256192	C₂	1	1	yes	maximal, characteristic, complemented
18	#72255991	C₂	1	1	yes	maximal, characteristic, complemented
19	#72255693	C₂	1	1	yes	maximal, characteristic, complemented
20	#72252150	C₂	1	1	yes	maximal, characteristic, complemented
21	#72252144	C₂	1	1	yes	maximal, characteristic, complemented
22	#72252140	C₂	1	1	yes	maximal, characteristic, complemented
23	#72252126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#359681	C₂	1	1	yes	maximal, characteristic, complemented
25	#72251260	C₂	1	1	yes	maximal, characteristic, complemented
26	#72250596	C₂	1	1	yes	maximal, characteristic, complemented
27	#72239651	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#364596	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#368857	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#10576108	C₂	1	1	yes	maximal, characteristic
31	C₂×#359645	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#3585	C₂²	1	1	yes	characteristic
33	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×#62811	C₂²	1	1	yes	characteristic
35	C₂²×#3484	C₂²	1	1	yes	characteristic
36	#10576108	C₄	1	16	yes	complemented
37	C₂×#60644	C₂²	1	1	yes	characteristic
38	C₂×#60426	C₂²	1	1	yes	characteristic
39	C₂×#60423	C₂²	1	1	yes	characteristic
40	C₂×#60454	C₂²	1	1	yes	characteristic
41	C₂×#60444	C₂²	1	1	yes	characteristic
42	C₂×#60369	C₂²	1	1	yes	characteristic
43	C₂×#60367	C₂²	1	1	yes	characteristic
44	C₂×#60359	C₂²	1	1	yes	characteristic
45	C₂²×#3003	C₂²	1	1	yes	characteristic
46	C₂×#60141	C₂²	1	1	yes	characteristic
47	#10574166	C₂²	1	1	yes	characteristic, complemented
48	C₂×#60182	C₂²	1	1	yes	characteristic, complemented
49	C₂×#60168	C₂²	1	1	yes	characteristic
50	C₂×#60064	C₂²	1	1	yes	characteristic, complemented
51	#10574061	C₂²	1	1	yes	characteristic, complemented
52	C₂×#60093	C₂²	1	1	yes	characteristic, complemented
53	C₂×#60087	C₂²	1	1	yes	characteristic, complemented
54	#7625442	C₂²	1	1	yes	characteristic, complemented
55	C₂×#21249	C₂²	1	1	yes	characteristic, complemented
56	#6372005	C₂²	1	1	yes	characteristic, complemented
57	C₂²×#1910	C₂²	1	1	yes	characteristic, complemented
58	#6371536	C₂²	1	1	yes	characteristic, complemented
59	C₂×#21005	C₂²	1	1	yes	characteristic
60	C₂×#21005	C₂²	1	1	yes	characteristic
61	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
62	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
63	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
64	C₂×#20995	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#1891	C₂²	1	1	yes	characteristic, complemented
66	C₂×#20959	C₂²	1	1	yes	characteristic, complemented
67	C₂×#20956	C₂²	1	1	yes	characteristic, complemented
68	#6371439	C₂²	1	1	yes	characteristic, complemented
69	#6371439	C₂²	1	1	yes	characteristic, complemented
70	C₂×#20945	C₂²	1	1	yes	characteristic
71	C₂×#20945	C₂²	1	1	yes	characteristic
72	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
73	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20939	C₂²	1	1	yes	characteristic, complemented
75	#6370833	C₂²	1	1	yes	characteristic, complemented
76	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
77	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
78	#6370746	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
81	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
82	#6370715	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
85	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
86	#6369866	C₂²	1	1	yes	characteristic, complemented
87	#6369745	C₂²	1	1	yes	characteristic, complemented
88	C₂×#20338	C₂²	1	1	yes	characteristic, complemented
89	#517415	C₂²	1	1	yes	characteristic, complemented
90	C₂×#11246	C₂²	1	1	yes	characteristic, complemented
91	#358064	C₂²	1	1	yes	characteristic, complemented
92	#357945	C₂²	1	1	yes	characteristic, complemented
93	C₂×#11180	C₂²	1	1	yes	characteristic, complemented
94	C₂×#11133	C₂²	1	1	yes	characteristic, complemented
95	C₂×#11131	C₂²	1	1	yes	characteristic, complemented
96	#357818	C₂²	1	1	yes	characteristic, complemented
97	C₂×#11129	C₂²	1	1	yes	characteristic, complemented
98	C₂×#11101	C₂²	1	1	yes	characteristic, complemented
99	C₂×#11100	C₂²	1	1	yes	characteristic, complemented
100	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
101	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
103	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
104	#357586	C₂²	1	1	yes	characteristic, complemented
105	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
106	#357581	C₂²	1	1	yes	characteristic, complemented
107	#357581	C₂²	1	1	yes	characteristic, complemented
108	#357581	C₂²	1	1	yes	characteristic, complemented
109	#357581	C₂²	1	1	yes	characteristic, complemented
110	#357581	C₂²	1	1	yes	characteristic, complemented
111	#357571	C₂²	1	1	yes	characteristic, complemented
112	#357571	C₂²	1	1	yes	characteristic, complemented
113	#357571	C₂²	1	1	yes	characteristic, complemented
114	#357571	C₂²	1	1	yes	characteristic, complemented
115	#357571	C₂²	1	1	yes	characteristic, complemented
116	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
118	#357561	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
120	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
121	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
122	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
123	#357548	C₂²	1	1	yes	characteristic, complemented
124	#357548	C₂²	1	1	yes	characteristic, complemented
125	#357548	C₂²	1	1	yes	characteristic, complemented
126	#357548	C₂²	1	1	yes	characteristic, complemented
127	#357548	C₂²	1	1	yes	characteristic, complemented
128	C₂×#10994	C₂²	1	1	yes	characteristic
129	C₂×#10994	C₂²	1	1	yes	characteristic
130	C₂×#10994	C₂²	1	1	yes	characteristic
131	C₂×#10994	C₂²	1	1	yes	characteristic
132	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
133	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
134	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
136	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
137	#357529	C₂²	1	1	yes	characteristic, complemented
138	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
139	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
140	#357452	C₂²	1	1	yes	characteristic, complemented
141	#357452	C₂²	1	1	yes	characteristic, complemented
142	C₂×#10953	C₂²	1	1	yes	characteristic, complemented
143	C₂×#10950	C₂²	1	1	yes	characteristic, complemented
144	#354038	C₂²	1	1	yes	characteristic, complemented
145	C₂×#10948	C₂²	1	1	yes	characteristic, complemented
146	C₂×#10937	C₂²	1	1	yes	characteristic, complemented
147	C₂×#10937	C₂²	1	1	yes	characteristic, complemented
148	#353914	C₂²	1	1	yes	characteristic, complemented
149	C₂×#10890	C₂²	1	1	yes	characteristic, complemented
150	C₂×#10787	C₂²	1	1	yes	characteristic, complemented
151	C₂×#10787	C₂²	1	1	yes	characteristic, complemented
152	#353468	C₂²	1	1	yes	characteristic, complemented
153	C₂×#10785	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10785	C₂²	1	1	yes	characteristic, complemented
155	C₂×#10740	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10740	C₂²	1	1	yes	characteristic, complemented
157	#353416	C₂²	1	1	yes	characteristic, complemented
158	#353416	C₂²	1	1	yes	characteristic, complemented
159	#353403	C₂²	1	1	yes	characteristic, complemented
160	#353397	C₂²	1	1	yes	characteristic, complemented
161	C₂×#10794	C₂²	1	1	yes	characteristic, complemented
162	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
163	C₂×#10778	C₂²	1	1	yes	characteristic, complemented
164	C₂×#10778	C₂²	1	1	yes	characteristic, complemented
165	#353362	C₂²	1	1	yes	characteristic, complemented
166	#353362	C₂²	1	1	yes	characteristic, complemented
167	#353352	C₂²	1	1	yes	characteristic, complemented
168	#123999	C₂²	1	1	yes	characteristic, complemented
169	#123991	C₂²	1	1	yes	characteristic, complemented
170	#123984	C₂²	1	1	yes	characteristic, complemented
171	#123976	C₂²	1	1	yes	characteristic, complemented
172	#123638	C₂²	1	1	yes	characteristic, complemented
173	#123628	C₂²	1	1	yes	characteristic, complemented
174	#123623	C₂²	1	1	yes	characteristic, complemented
175	#123619	C₂²	1	1	yes	characteristic, complemented
176	#123611	C₂²	1	1	yes	characteristic, complemented
177	#123611	C₂²	1	1	yes	characteristic, complemented
178	#123609	C₂²	1	1	yes	characteristic, complemented
179	#123607	C₂²	1	1	yes	characteristic, complemented
180	#123607	C₂²	1	1	yes	characteristic, complemented
181	#123600	C₂²	1	1	yes	characteristic, complemented
182	#123554	C₂²	1	1	yes	characteristic, complemented
183	#123547	C₂²	1	1	yes	characteristic, complemented
184	#123505	C₂²	1	1	yes	characteristic, complemented
185	#123505	C₂²	1	1	yes	characteristic, complemented
186	#123505	C₂²	1	1	yes	characteristic, complemented
187	#123501	C₂²	1	1	yes	characteristic, complemented
188	C₂²×#585	C₂³	1	1	yes	characteristic
189	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
190	C₂⁴×#41	C₂³	1	1	yes	characteristic
191	C₂⁵×D₄	C₂³	1	1	yes	characteristic
192	C₂×#3585	C₂×C₄	1	8	yes	—
193	C₂×#3585	D₄	1	8	yes	—
194	C₂²×#577	D₄	1	4	yes	—
195	C₂²×#576	D₄	1	4	yes	—
196	C₂²×#575	C₂³	1	1	yes	characteristic
197	C₂²×#575	C₂³	1	1	yes	characteristic
198	C₂²×#575	C₂³	1	1	yes	characteristic
199	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	8	yes	complemented
200	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
201	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
202	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
203	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
204	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
205	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
206	C₂²×#568	C₂³	1	1	yes	characteristic
207	C₂²×#568	C₂³	1	1	yes	characteristic
208	C₂²×#568	C₂³	1	1	yes	characteristic
209	C₂²×#568	C₂³	1	1	yes	characteristic
210	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
211	#62811	C₂×C₄	1	8	yes	complemented
212	C₂×#3484	C₂×C₄	1	8	yes	complemented
213	C₂×#3449	C₂³	1	1	yes	characteristic
214	C₂×#3449	C₂³	1	1	yes	characteristic
215	C₂²×#535	C₂³	1	1	yes	characteristic
216	C₂²×#535	C₂³	1	1	yes	characteristic
217	C₂²×#525	C₂³	1	1	yes	characteristic
218	C₂²×#525	C₂³	1	1	yes	characteristic
219	C₂²×#525	C₂³	1	1	yes	characteristic
220	C₂×#3428	C₂³	1	1	yes	characteristic
221	C₂×#3428	C₂³	1	1	yes	characteristic
222	C₂×#3428	C₂³	1	1	yes	characteristic
223	C₂×#3428	C₂³	1	1	yes	characteristic
224	C₂²×#518	C₂³	1	1	yes	characteristic
225	#60644	C₂×C₄	1	8	yes	complemented
226	#60454	C₂×C₄	1	8	yes	complemented
227	#60444	C₂×C₄	1	8	yes	complemented
228	#60426	C₂×C₄	1	8	yes	—
229	#60426	D₄	1	8	yes	—
230	#60423	C₂×C₄	1	8	yes	complemented
231	C₂×#3040	D₄	1	4	yes	—
232	C₂×#3038	D₄	1	4	yes	—
233	#60369	C₂×C₄	1	8	yes	complemented
234	#60367	C₂×C₄	1	8	yes	complemented
235	#60359	C₂×C₄	1	8	yes	—
236	#60359	D₄	1	8	yes	—
237	C₂×#3005	D₄	1	2	yes	—
238	C₂×#3005	D₄	1	2	yes	—
239	C₂×#3004	D₄	1	2	yes	—
240	C₂×#3003	C₂×C₄	1	8	yes	complemented
241	C₂×#3003	D₄	1	2	yes	—
242	#60168	C₂×C₄	1	8	yes	complemented
243	#60141	C₂×C₄	1	8	yes	complemented
244	C₂²×#430	C₂³	1	1	yes	characteristic
245	C₂×#2911	C₂³	1	1	yes	characteristic
246	C₂×#2911	C₂³	1	1	yes	characteristic
247	C₂×#2905	C₂³	1	1	yes	characteristic
248	C₂²×#421	C₂³	1	1	yes	characteristic
249	C₂²×#421	C₂³	1	1	yes	characteristic
250	C₂²×#421	C₂³	1	1	yes	characteristic
251	C₂²×#421	C₂³	1	1	yes	characteristic
252	C₂²×#421	C₂³	1	1	yes	characteristic
253	C₂²×#421	C₂³	1	1	yes	characteristic
254	C₂²×#421	C₂³	1	1	yes	characteristic
255	C₂²×#421	C₂³	1	1	yes	characteristic
256	C₂²×#421	C₂³	1	1	yes	characteristic
257	C₂²×#421	C₂³	1	1	yes	characteristic
258	C₂²×#421	C₂³	1	1	yes	characteristic
259	C₂²×#421	C₂³	1	1	yes	characteristic
260	C₂×#2896	C₂³	1	1	yes	characteristic
261	C₂×#2896	C₂³	1	1	yes	characteristic
262	C₂×#2896	C₂³	1	1	yes	characteristic
263	C₂×#2896	C₂³	1	1	yes	characteristic
264	C₂×#2896	C₂³	1	1	yes	characteristic
265	C₂×#2896	C₂³	1	1	yes	characteristic
266	C₂×#2896	C₂³	1	1	yes	characteristic
267	C₂×#2896	C₂³	1	1	yes	characteristic
268	C₂×#2896	C₂³	1	1	yes	characteristic
269	C₂×#2896	C₂³	1	1	yes	characteristic
270	C₂×#2896	C₂³	1	1	yes	characteristic
271	C₂×#2896	C₂³	1	1	yes	characteristic
272	C₂×#2896	C₂³	1	1	yes	characteristic
273	C₂×#2896	C₂³	1	1	yes	characteristic
274	C₂×#2896	C₂³	1	1	yes	characteristic
275	C₂×#2896	C₂³	1	1	yes	characteristic
276	C₂²×#418	C₂³	1	1	yes	characteristic
277	C₂²×#418	C₂³	1	1	yes	characteristic
278	C₂²×#418	C₂³	1	1	yes	characteristic
279	C₂²×#418	C₂³	1	1	yes	characteristic
280	C₂²×#418	C₂³	1	1	yes	characteristic
281	C₂²×#418	C₂³	1	1	yes	characteristic
282	C₂²×#418	C₂³	1	1	yes	characteristic
283	C₂²×#418	C₂³	1	1	yes	characteristic
284	C₂²×#418	C₂³	1	1	yes	characteristic
285	C₂²×#418	C₂³	1	1	yes	characteristic
286	C₂²×#413	C₂³	1	1	yes	characteristic
287	C₂²×#413	C₂³	1	1	yes	characteristic
288	C₂³×#100	C₂³	1	1	yes	characteristic
289	C₂³×#100	C₂³	1	1	yes	characteristic
290	C₂³×#100	C₂³	1	1	yes	characteristic
291	C₂³×#100	C₂³	1	1	yes	characteristic
292	C₂²×#410	C₂³	1	1	yes	characteristic
293	C₂²×#410	C₂³	1	1	yes	characteristic
294	C₂×#2879	C₂³	1	1	yes	characteristic
295	C₂×#2879	C₂³	1	1	yes	characteristic
296	C₂×#2879	C₂³	1	1	yes	characteristic
297	C₂×#2879	C₂³	1	1	yes	characteristic
298	C₂²×#407	C₂³	1	1	yes	characteristic
299	C₂²×#407	C₂³	1	1	yes	characteristic
300	C₂²×#407	C₂³	1	1	yes	characteristic
301	C₂²×#407	C₂³	1	1	yes	characteristic
302	C₂²×#407	C₂³	1	1	yes	characteristic
303	C₂×#2873	C₂³	1	1	yes	characteristic
304	C₂×#2873	C₂³	1	1	yes	characteristic
305	C₂×#2873	C₂³	1	1	yes	characteristic
306	#34044	C₂³	1	1	yes	characteristic
307	#34044	C₂³	1	1	yes	characteristic
308	#34044	C₂³	1	1	yes	characteristic
309	C₂×#2309	C₂³	1	1	yes	characteristic
310	C₂×#2309	C₂³	1	1	yes	characteristic
311	C₂×#2309	C₂³	1	1	yes	characteristic
312	C₂×#2309	C₂³	1	1	yes	characteristic
313	C₂×#2280	C₂³	1	1	yes	characteristic
314	C₂×#2280	C₂³	1	1	yes	characteristic
315	C₂×#2280	C₂³	1	1	yes	characteristic
316	C₂×#2280	C₂³	1	1	yes	characteristic
317	C₂×#1907	D₄	1	8	yes	complemented
318	C₂×#1883	D₄	1	8	yes	complemented
319	C₂²×#344	C₂³	1	1	yes	characteristic
320	C₂²×#344	C₂³	1	1	yes	characteristic
321	C₂²×#344	C₂³	1	1	yes	characteristic
322	C₂²×#344	C₂³	1	1	yes	characteristic
323	C₂²×#344	C₂³	1	1	yes	characteristic
324	C₂²×#344	C₂³	1	1	yes	characteristic
325	C₂²×#344	C₂³	1	1	yes	characteristic
326	C₂²×#344	C₂³	1	1	yes	characteristic
327	C₂×#1742	C₂³	1	1	yes	characteristic
328	C₂×#1742	C₂³	1	1	yes	characteristic
329	C₂×#1742	C₂³	1	1	yes	characteristic
330	C₂×#1742	C₂³	1	1	yes	characteristic
331	C₂×#1742	C₂³	1	1	yes	characteristic
332	C₂×#1742	C₂³	1	1	yes	characteristic
333	C₂×#1742	C₂³	1	1	yes	characteristic
334	C₂×#1742	C₂³	1	1	yes	characteristic
335	C₂×#1742	C₂³	1	1	yes	characteristic
336	C₂×#1742	C₂³	1	1	yes	characteristic
337	C₂×#1740	C₂³	1	1	yes	characteristic
338	C₂×#1740	C₂³	1	1	yes	characteristic
339	C₂×#1740	C₂³	1	1	yes	characteristic
340	C₂×#1740	C₂³	1	1	yes	characteristic
341	C₂×#1738	C₂³	1	1	yes	characteristic
342	C₂×#1738	C₂³	1	1	yes	characteristic
343	C₂×#1738	C₂³	1	1	yes	characteristic
344	C₂×#1738	C₂³	1	1	yes	characteristic
345	C₂×#1738	C₂³	1	1	yes	characteristic
346	C₂×#1738	C₂³	1	1	yes	characteristic
347	C₂×#1733	C₂³	1	1	yes	characteristic
348	C₂×#1733	C₂³	1	1	yes	characteristic
349	C₂×#1733	C₂³	1	1	yes	characteristic
350	C₂×#1733	C₂³	1	1	yes	characteristic
351	C₂×#1733	C₂³	1	1	yes	characteristic
352	C₂×#1733	C₂³	1	1	yes	characteristic
353	C₂×#1733	C₂³	1	1	yes	characteristic
354	C₂×#1733	C₂³	1	1	yes	characteristic
355	C₂×#1733	C₂³	1	1	yes	characteristic
356	C₂×#1733	C₂³	1	1	yes	characteristic
357	C₂×#1733	C₂³	1	1	yes	characteristic
358	C₂×#1733	C₂³	1	1	yes	characteristic
359	C₂×#1733	C₂³	1	1	yes	characteristic
360	C₂×#1733	C₂³	1	1	yes	characteristic
361	C₂²×#338	C₂³	1	1	yes	characteristic
362	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
363	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
364	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
365	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
366	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
367	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
368	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
369	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
370	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
371	#10994	D₄	1	4	yes	—
372	#10994	D₄	1	4	yes	—
373	C₂×#585	C₂²×C₄	1	4	yes	—
374	C₂×#585	C₂×D₄	1	4	yes	—
375	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
376	C₂²×H(5,𝔽₂)	C₂²×C₄	1	4	yes	—
377	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
378	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
379	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
380	C₂³×#41	C₂²×C₄	1	4	yes	—
381	C₂³×#41	C₂×D₄	1	4	yes	—
382	C₂³×#41	C₂×D₄	1	1	yes	characteristic
383	C₂³×#41	C₂×D₄	1	1	yes	characteristic
384	C₂³×#41	C₂⁴	1	1	yes	characteristic
385	C₂³×#41	C₂⁴	1	1	yes	characteristic
386	C₂³×#41	C₂⁴	1	1	yes	characteristic
387	C₂³×#41	C₂⁴	1	1	yes	characteristic
388	C₂³×#41	C₂⁴	1	1	yes	characteristic
389	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
390	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
391	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
392	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
393	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
394	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
395	C₂×#577	C₂²⋊C₄	1	32	yes	complemented
396	C₂×#576	C₂²⋊C₄	1	32	yes	complemented
397	C₂×#575	C₂²×C₄	1	4	yes	—
398	C₂×#575	C₂²×C₄	1	4	yes	—
399	C₂×#575	C₂²×C₄	1	4	yes	—
400	C₂×#575	C₂×D₄	1	4	yes	—
401	C₂×#575	C₂×D₄	1	4	yes	—
402	C₂×#575	C₂×D₄	1	4	yes	—
403	C₂×#575	C₂×D₄	1	4	yes	—
404	C₂×#575	C₂×D₄	1	4	yes	—
405	C₂²×#137	C₂×D₄	1	2	yes	—
406	C₂²×#137	C₂×D₄	1	2	yes	—
407	C₂²×#137	C₂×D₄	1	2	yes	—
408	C₂²×#137	C₂×D₄	1	2	yes	—
409	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
410	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
411	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
412	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
413	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
414	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
415	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
416	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
417	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
418	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
419	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
420	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
421	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
422	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
423	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
424	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
425	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
426	C₂²×AGL(1,ℤ/8)	#41	1	4	yes	—
427	C₂²×AGL(1,ℤ/8)	#41	1	4	yes	—
428	C₂²×#135	C₂×D₄	1	4	yes	—
429	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
430	C₂³×D₈	C₂×D₄	1	2	yes	—
431	C₂×#568	C₂²×C₄	1	4	yes	—
432	C₂×#568	C₂×D₄	1	4	yes	—
433	C₂²×#131	C₂×D₄	1	4	yes	—
434	C₂²×#131	C₂×D₄	1	4	yes	complemented
435	C₂³×M₁₆	C₂²×C₄	1	4	yes	—
436	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
437	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
438	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
439	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
440	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
441	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
442	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
443	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
444	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
445	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
446	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
447	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
448	#3449	C₂²×C₄	1	4	yes	—
449	#3449	C₂²×C₄	1	4	yes	—
450	C₂×#535	C₂²×C₄	1	4	yes	—
451	C₂×#535	C₂²×C₄	1	4	yes	—
452	C₂×#535	C₂×D₄	1	4	yes	—
453	C₂²×#127	C₂×D₄	1	2	yes	—
454	C₂²×#124	C₂×D₄	1	2	yes	—
455	C₂×#525	C₂²×C₄	1	4	yes	—
456	C₂×#525	C₂²×C₄	1	4	yes	—
457	C₂×#525	C₂²×C₄	1	4	yes	—
458	C₂×#525	C₂×D₄	1	2	yes	—
459	C₂×#525	C₂×D₄	1	2	yes	—
460	C₂×#525	C₂×D₄	1	2	yes	—
461	C₂×#525	C₂×D₄	1	2	yes	—
462	C₂×#525	C₂×D₄	1	4	yes	—
463	C₂×#525	#41	1	4	yes	—
464	#3428	C₂²×C₄	1	4	yes	—
465	#3428	C₂×D₄	1	4	yes	—
466	C₂×#520	C₂×D₄	1	4	yes	complemented
467	C₂×#518	C₂²×C₄	1	4	yes	—
468	C₂×C₄×#41	C₂×D₄	1	4	yes	—
469	C₂²×#117	C₂⁴	1	1	yes	characteristic
470	C₂²×#117	C₂⁴	1	1	yes	characteristic
471	C₂²×#117	C₂⁴	1	1	yes	characteristic
472	C₂²×#117	C₂⁴	1	1	yes	characteristic
473	C₂²×#117	C₂⁴	1	1	yes	characteristic
474	C₂²×#117	C₂⁴	1	1	yes	characteristic
475	C₂²×#117	C₂⁴	1	1	yes	characteristic
476	C₂²×#117	C₂⁴	1	1	yes	characteristic
477	C₂²×#117	C₂⁴	1	1	yes	characteristic
478	C₂²×#117	C₂⁴	1	1	yes	characteristic
479	C₂²×#117	C₂⁴	1	1	yes	characteristic
480	#3040	C₂²⋊C₄	1	32	yes	complemented
481	#3038	C₂²⋊C₄	1	32	yes	complemented
482	#3005	C₂²⋊C₄	1	16	yes	complemented
483	#3005	C₂²⋊C₄	1	16	yes	complemented
484	#3004	C₂²⋊C₄	1	16	yes	complemented
485	#3003	C₂²⋊C₄	1	16	yes	complemented
486	#2911	C₂²×C₄	1	4	yes	—
487	#2905	C₂²×C₄	1	4	yes	—
488	#2905	C₂×D₄	1	4	yes	—
489	C₂×#423	C₂×D₄	1	4	yes	—
490	C₂×#421	C₂×D₄	1	4	yes	—
491	C₂²×#104	C₂×D₄	1	4	yes	complemented
492	#2896	C₂²×C₄	1	4	yes	—
493	#2896	C₂²×C₄	1	4	yes	—
494	#2896	C₂²×C₄	1	4	yes	—
495	#2896	C₂²×C₄	1	4	yes	—
496	#2896	C₂×D₄	1	4	yes	—
497	#2896	C₂×D₄	1	4	yes	—
498	#2896	C₂×D₄	1	4	yes	—
499	#2896	C₂×D₄	1	4	yes	—
500	C₂×#417	C₂×D₄	1	4	yes	complemented
501	C₂×#419	C₂×D₄	1	2	yes	—
502	C₂×#419	C₂×D₄	1	2	yes	—
503	C₂×#419	C₂×D₄	1	2	yes	—
504	C₂×#418	C₂²×C₄	1	4	yes	—
505	C₂×#418	C₂²×C₄	1	4	yes	—
506	C₂×#418	C₂×D₄	1	2	yes	—
507	C₂×#418	C₂×D₄	1	2	yes	—
508	C₂×#418	C₂×D₄	1	4	yes	—
509	C₂×#418	C₂×D₄	1	2	yes	—
510	C₂×#418	C₂×D₄	1	4	yes	—
511	C₂×#418	C₂×D₄	1	4	yes	complemented
512	C₂²×#102	C₂×D₄	1	4	yes	complemented
513	C₂²×#100	C₂×D₄	1	4	yes	complemented
514	#2879	C₂²×C₄	1	4	yes	—
515	C₂×#407	C₂²×C₄	1	4	yes	—
516	C₂×#407	C₂×D₄	1	2	yes	—
517	C₂×#407	C₂×D₄	1	2	yes	—
518	C₂×#407	C₂×D₄	1	2	yes	—
519	C₂×#407	C₂×D₄	1	2	yes	—
520	C₂×#407	C₂×D₄	1	4	yes	—
521	#2873	C₂²×C₄	1	4	yes	—
522	C₂×#390	C₂×D₄	1	4	yes	complemented
523	#2280	C₂×D₄	1	2	yes	—
524	#2280	C₂×D₄	1	2	yes	—
525	C₂×#343	C₂×D₄	1	4	yes	complemented
526	C₂×#343	C₂×D₄	1	4	yes	complemented
527	C₂×#341	C₂×D₄	1	4	yes	complemented
528	#1733	C₂×D₄	1	4	yes	—
529	C₂×#339	C₂×D₄	1	4	yes	complemented
530	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
531	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
532	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	8	yes	—
533	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	8	yes	—
534	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	16	yes	complemented
535	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
536	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
537	C₂²×#41	C₂³×C₄	1	2	yes	—
538	C₂²×#41	C₂³×C₄	1	2	yes	—
539	C₂²×#41	C₂³×C₄	1	2	yes	—
540	C₂²×#41	C₂³×C₄	1	2	yes	—
541	C₂²×#41	C₂³×C₄	1	2	yes	—
542	C₂²×#41	C₂²×D₄	1	2	yes	—
543	C₂²×#41	C₂²×D₄	1	2	yes	—
544	C₂²×#41	C₂²×D₄	1	2	yes	—
545	C₂²×#41	C₂²×D₄	1	2	yes	—
546	C₂²×#41	C₂²×D₄	1	2	yes	—
547	C₂²×#41	C₂²×D₄	1	2	yes	—
548	C₂²×#41	C₂²×D₄	1	2	yes	—
549	C₂²×#41	C₂²×D₄	1	2	yes	—
550	C₂²×#41	C₂²×D₄	1	2	yes	—
551	C₂²×#41	C₂²×D₄	1	2	yes	—
552	C₂²×#41	C₂²×D₄	1	2	yes	—
553	C₂²×#41	C₂²×D₄	1	2	yes	—
554	C₂²×#41	C₂²×D₄	1	2	yes	—
555	C₂²×#41	C₂²×D₄	1	2	yes	—
556	C₂²×#41	C₂²×D₄	1	2	yes	—
557	C₂²×#41	C₂²×D₄	1	2	yes	—
558	C₂²×#41	C₂²×D₄	1	2	yes	—
559	C₂²×#41	C₂×#41	1	2	yes	—
560	C₂²×#41	C₂×#41	1	2	yes	—
561	C₂²×#41	C₂×#41	1	2	yes	—
562	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
563	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
564	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
565	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
566	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
567	C₂³×Q₈	C₂×C₂²⋊C₄	1	4	yes	—
568	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
569	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
570	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
571	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
572	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
573	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
574	C₂³×D₄	C₂³×C₄	1	2	yes	—
575	C₂³×D₄	C₂³×C₄	1	2	yes	—
576	C₂³×D₄	C₂²×D₄	1	2	yes	—
577	C₂³×D₄	C₂²×D₄	1	2	yes	—
578	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
579	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
580	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
581	C₂³×D₄	C₂²×D₄	1	2	yes	—
582	C₂³×D₄	C₂²×D₄	1	2	yes	—
583	C₂³×D₄	C₂²×D₄	1	2	yes	—
584	C₂³×D₄	C₂²×D₄	1	2	yes	—
585	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
586	C₂³×D₄	C₂×#41	1	2	yes	—
587	C₂³×D₄	C₂×#41	1	2	yes	—
588	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
589	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
590	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
591	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
592	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
593	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
594	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
595	C₂⁴×C₄	C₂×#41	1	2	yes	—
596	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
597	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
598	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
599	C₂×#137	C₂×C₂²⋊C₄	1	8	yes	—
600	C₂×#137	C₂×C₂²⋊C₄	1	8	yes	—
601	C₂×#137	C₂×C₂²⋊C₄	1	8	yes	—
602	C₂×#137	C₂×C₂²⋊C₄	1	8	yes	complemented
603	C₂×#137	#120	1	8	yes	—
604	C₂×#137	#120	1	8	yes	—
605	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	16	yes	—
606	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	16	yes	—
607	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	8	yes	—
608	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	8	yes	—
609	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	8	yes	—
610	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	8	yes	complemented
611	C₂×AGL(1,ℤ/8)	C₄×D₄	1	16	yes	—
612	C₂×AGL(1,ℤ/8)	C₄×D₄	1	16	yes	—
613	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
614	C₂×AGL(1,ℤ/8)	#120	1	8	yes	—
615	C₂×AGL(1,ℤ/8)	#120	1	8	yes	—
616	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
617	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
618	C₂×AGL(1,ℤ/8)	#123	1	16	yes	—
619	C₂×#135	C₂×C₂²⋊C₄	1	16	yes	—
620	C₂×#135	#120	1	16	yes	—
621	C₂²×Q₁₆	#120	1	4	yes	—
622	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
623	C₂²×SD₁₆	#120	1	4	yes	—
624	C₂²×SD₁₆	#120	1	4	yes	—
625	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	complemented
626	C₂²×D₈	#120	1	4	yes	—
627	C₂×#131	C₂×C₂²⋊C₄	1	16	yes	complemented
628	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
629	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
630	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
631	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
632	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
633	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
634	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
635	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
636	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
637	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
638	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
639	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
640	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
641	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
642	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
643	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
644	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
645	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
646	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
647	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
648	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
649	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
650	C₂²×M₁₆	C₂×#41	1	2	yes	—
651	C₂²×M₁₆	C₂×#41	1	2	yes	—
652	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
653	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
654	C₂³×C₈	C₂²×D₄	1	2	yes	—
655	C₂³×C₈	C₂²×D₄	1	2	yes	—
656	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	complemented
657	C₂×#124	C₂×C₂²⋊C₄	1	8	yes	complemented
658	#525	C₂×C₂²⋊C₄	1	8	yes	—
659	#525	C₂×C₂²⋊C₄	1	8	yes	—
660	#525	C₄×D₄	1	8	yes	—
661	#525	C₄×D₄	1	8	yes	—
662	C₄×#41	C₂×C₂²⋊C₄	1	16	yes	—
663	C₂×#117	C₂³×C₄	1	2	yes	—
664	C₂×#117	C₂³×C₄	1	2	yes	—
665	C₂×#117	C₂³×C₄	1	2	yes	—
666	C₂×#117	C₂²×D₄	1	2	yes	—
667	C₂×#117	C₂²×D₄	1	2	yes	—
668	C₂×#117	C₂²×D₄	1	2	yes	—
669	C₂×#117	C₂²×D₄	1	2	yes	—
670	C₂×#117	C₂²×D₄	1	2	yes	—
671	C₂×#117	C₂²×D₄	1	2	yes	—
672	C₂×#117	C₂²×D₄	1	2	yes	—
673	C₂×#117	C₂²×D₄	1	2	yes	—
674	C₂×#117	C₂²×D₄	1	2	yes	—
675	C₂×#117	C₂×#41	1	2	yes	—
676	C₂×#117	H(5,𝔽₂)	1	2	yes	—
677	C₂×#117	H(5,𝔽₂)	1	2	yes	—
678	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
679	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
680	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
681	C₂²×C₄²	C₂²×D₄	1	2	yes	—
682	C₂²×C₄²	C₂²×D₄	1	2	yes	—
683	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
684	#423	C₂×C₂²⋊C₄	1	16	yes	complemented
685	#419	C₂×C₂²⋊C₄	1	8	yes	—
686	#419	C₂×C₂²⋊C₄	1	8	yes	—
687	#419	C₂×C₂²⋊C₄	1	8	yes	complemented
688	#418	C₂×C₂²⋊C₄	1	8	yes	—
689	#418	C₂×C₂²⋊C₄	1	8	yes	—
690	#418	C₂×C₂²⋊C₄	1	16	yes	complemented
691	#418	C₂×C₂²⋊C₄	1	8	yes	complemented
692	#407	C₂×C₂²⋊C₄	1	8	yes	—
693	#407	C₂×C₂²⋊C₄	1	8	yes	—
694	C₂⁵	#518	1	2	yes	—
695	C₂⁵	D₄²	1	1	yes	characteristic
696	C₂⁵	D₄²	1	1	yes	characteristic
697	C₂⁵	#546	1	2	yes	—
698	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
700	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
701	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
702	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
703	C₂×#41	C₂²×C₂²⋊C₄	1	4	yes	—
704	C₂×#41	C₂×C₄×D₄	1	4	yes	—
705	C₂×#41	C₂×C₄×D₄	1	4	yes	—
706	C₂×#41	C₂×C₄×D₄	1	4	yes	—
707	C₂×#41	#518	1	4	yes	—
708	C₂×#41	#518	1	4	yes	—
709	C₂×#41	C₂×#120	1	4	yes	—
710	C₂×#41	C₂×#120	1	4	yes	—
711	C₂×#41	C₂×#120	1	4	yes	—
712	C₂×#41	C₂×#120	1	4	yes	—
713	C₂×#41	C₂×#120	1	4	yes	—
714	C₂×#41	C₂×#121	1	4	yes	—
715	C₂×#41	C₂×#121	1	4	yes	—
716	C₂×#41	C₂×#123	1	4	yes	—
717	C₂×#41	#534	1	4	yes	—
718	C₂×#41	#534	1	4	yes	—
719	C₂×#41	#534	1	4	yes	—
720	C₂×#41	#534	1	4	yes	—
721	C₂×#41	D₄²	1	4	yes	—
722	C₂×#41	D₄²	1	4	yes	—
723	C₂×#41	D₄²	1	4	yes	—
724	C₂×#41	D₄²	1	4	yes	—
725	C₂×#41	D₄²	1	4	yes	—
726	C₂×#41	D₄²	1	4	yes	—
727	C₂×#41	D₄²	1	4	yes	—
728	C₂×#41	#546	1	4	yes	—
729	C₂×#41	#546	1	4	yes	—
730	C₂×#41	#546	1	4	yes	—
731	C₂×#41	#546	1	4	yes	—
732	C₂×#41	#546	1	4	yes	—
733	C₂×#41	#546	1	4	yes	—
734	C₂×#41	#546	1	4	yes	—
735	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
736	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
737	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
738	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
739	C₂²×Q₈	#518	1	2	yes	—
740	C₂²×Q₈	C₂×#120	1	2	yes	—
741	C₂²×Q₈	C₂×#120	1	2	yes	—
742	C₂²×Q₈	C₂×#120	1	2	yes	—
743	C₂²×Q₈	C₂×#120	1	2	yes	—
744	C₂²×Q₈	D₄²	1	2	yes	—
745	C₂²×Q₈	D₄²	1	2	yes	—
746	C₂²×Q₈	D₄²	1	2	yes	—
747	C₂²×Q₈	#546	1	2	yes	—
748	C₂²×Q₈	#546	1	2	yes	—
749	C₂²×Q₈	#546	1	2	yes	—
750	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
751	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
752	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
753	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
754	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
755	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
756	C₂²×D₄	C₂×C₄×D₄	1	4	yes	—
757	C₂²×D₄	C₂×C₄×D₄	1	4	yes	—
758	C₂²×D₄	#518	1	2	yes	—
759	C₂²×D₄	C₂×#120	1	2	yes	—
760	C₂²×D₄	C₂×#120	1	2	yes	—
761	C₂²×D₄	C₂×#120	1	4	yes	—
762	C₂²×D₄	C₂×#120	1	2	yes	—
763	C₂²×D₄	C₂×#120	1	2	yes	—
764	C₂²×D₄	C₂×#121	1	4	yes	—
765	C₂²×D₄	C₂×#121	1	4	yes	—
766	C₂²×D₄	C₂×#123	1	4	yes	—
767	C₂²×D₄	D₄²	1	2	yes	—
768	C₂²×D₄	D₄²	1	2	yes	—
769	C₂²×D₄	D₄²	1	2	yes	—
770	C₂²×D₄	#546	1	2	yes	—
771	C₂²×D₄	#546	1	2	yes	—
772	C₂²×D₄	#546	1	2	yes	—
773	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
774	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
775	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
776	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
777	C₂³×C₄	#518	1	2	yes	—
778	C₂³×C₄	D₄²	1	1	yes	characteristic
779	C₂³×C₄	D₄²	1	1	yes	characteristic
780	C₂³×C₄	D₄²	1	2	yes	—
781	C₂³×C₄	D₄²	1	2	yes	—
782	C₂³×C₄	#546	1	2	yes	—
783	C₂³×C₄	#546	1	2	yes	—
784	C₂³×C₄	#546	1	2	yes	—
785	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
786	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
787	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
788	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
789	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
790	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
791	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
792	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
793	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
794	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
795	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
796	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
797	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
798	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
799	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
800	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
801	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
802	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
803	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
804	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
805	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
806	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
807	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
808	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
809	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
810	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
811	C₂³×C₄	#585	1	1	yes	characteristic
812	C₂³×C₄	#585	1	1	yes	characteristic
813	C₂³×C₄	#585	1	1	yes	characteristic
814	C₂³×C₄	#585	1	1	yes	characteristic
815	AGL(1,ℤ/8)	#386	1	64	yes	—
816	C₂×Q₁₆	#379	1	16	yes	complemented
817	C₂×SD₁₆	#379	1	16	yes	complemented
818	C₂×SD₁₆	#379	1	16	yes	complemented
819	C₂×D₈	#379	1	16	yes	complemented
820	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
821	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
822	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
823	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
824	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
825	C₂×M₁₆	C₂×C₄×D₄	1	4	yes	—
826	C₂×M₁₆	C₂×C₄×D₄	1	4	yes	—
827	C₂×M₁₆	C₂×#120	1	4	yes	—
828	C₂×M₁₆	C₂×#120	1	4	yes	—
829	C₂×M₁₆	C₂×#120	1	4	yes	—
830	C₂×M₁₆	C₂×#121	1	4	yes	—
831	C₂×M₁₆	C₂×#121	1	4	yes	—
832	C₂×M₁₆	C₂×#123	1	4	yes	—
833	C₂²×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
834	C₂²×C₈	C₂×#120	1	4	yes	—
835	C₂²×C₈	C₂×#120	1	4	yes	—
836	C₂²×C₈	D₄²	1	4	yes	—
837	#117	C₂²×C₂²⋊C₄	1	4	yes	—
838	#117	C₂²×C₂²⋊C₄	1	4	yes	—
839	#117	C₂×C₄×D₄	1	4	yes	—
840	#117	#518	1	4	yes	—
841	#117	D₄²	1	4	yes	—
842	#117	#546	1	4	yes	—
843	C₂×C₄⋊C₄	D₄²	1	4	yes	—
844	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
845	C₂×C₄²	D₄²	1	4	yes	—
846	C₂×C₄²	#546	1	4	yes	—
847	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
848	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
849	C₂⁴	C₂×#518	1	1	yes	characteristic
850	C₂⁴	C₂×D₄²	1	1	yes	characteristic
851	C₂⁴	C₂×#546	1	1	yes	characteristic
852	C₂⁴	#3484	1	1	yes	characteristic
853	C₂⁴	#3484	1	1	yes	characteristic
854	C₂⁴	#3484	1	1	yes	characteristic
855	C₂⁴	#3484	1	1	yes	characteristic
856	C₂⁴	#3484	1	1	yes	characteristic
857	C₂⁴	#3488	1	1	yes	characteristic
858	C₂⁴	#3513	1	1	yes	characteristic
859	C₂⁴	#3519	1	1	yes	characteristic
860	C₂⁴	#3532	1	1	yes	characteristic
861	C₂⁴	#3534	1	1	yes	characteristic
862	C₂⁴	#3534	1	1	yes	characteristic
863	C₂⁴	#3537	1	1	yes	characteristic
864	#41	C₂×#386	1	8	yes	—
865	#41	#2308	1	8	yes	—
866	#41	D₄×C₂²⋊C₄	1	8	yes	—
867	#41	D₄×C₂²⋊C₄	1	8	yes	—
868	#41	#2403	1	8	yes	—
869	#41	#2405	1	8	yes	—
870	#41	#2410	1	8	yes	—
871	#41	#2410	1	8	yes	—
872	C₂×Q₈	C₂×#379	1	4	yes	—
873	C₂×Q₈	C₂×#379	1	4	yes	—
874	C₂×Q₈	D₄×C₂²⋊C₄	1	4	yes	—
875	C₂×Q₈	D₄×C₂²⋊C₄	1	4	yes	—
876	C₂×Q₈	D₄×C₂²⋊C₄	1	4	yes	—
877	C₂×Q₈	#2403	1	4	yes	—
878	C₂×Q₈	#2405	1	4	yes	—
879	C₂×Q₈	#2410	1	4	yes	—
880	C₂×Q₈	#2410	1	4	yes	—
881	C₂×D₄	C₂×#379	1	4	yes	—
882	C₂×D₄	C₂×#379	1	4	yes	—
883	C₂×D₄	C₂×#386	1	8	yes	—
884	C₂×D₄	D₄×C₂²⋊C₄	1	4	yes	—
885	C₂×D₄	D₄×C₂²⋊C₄	1	4	yes	—
886	C₂×D₄	D₄×C₂²⋊C₄	1	4	yes	—
887	C₂×D₄	#2403	1	4	yes	—
888	C₂×D₄	#2405	1	4	yes	—
889	C₂×D₄	#2410	1	4	yes	—
890	C₂×D₄	#2410	1	4	yes	—
891	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
892	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
893	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
894	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
895	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
896	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
897	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
898	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
899	C₂²×C₄	C₂×#518	1	1	yes	characteristic
900	C₂²×C₄	C₂×#518	1	1	yes	characteristic
901	C₂²×C₄	C₂×#518	1	1	yes	characteristic
902	C₂²×C₄	C₂×#518	1	1	yes	characteristic
903	C₂²×C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
904	C₂²×C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
905	C₂²×C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
906	C₂²×C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
907	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
908	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
909	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
910	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
911	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
912	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
913	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
914	C₂²×C₄	C₂²×#123	1	1	yes	characteristic
915	C₂²×C₄	C₂×#534	1	1	yes	characteristic
916	C₂²×C₄	C₂×#534	1	1	yes	characteristic
917	C₂²×C₄	C₂×#534	1	1	yes	characteristic
918	C₂²×C₄	C₂×#534	1	1	yes	characteristic
919	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
920	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
921	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
922	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
924	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
925	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
926	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
927	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
928	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
929	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
930	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
931	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
932	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
933	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
934	C₂²×C₄	C₂×#546	1	1	yes	characteristic
935	C₂²×C₄	C₂×#546	1	1	yes	characteristic
936	C₂²×C₄	C₂×#546	1	1	yes	characteristic
937	C₂²×C₄	C₂×#546	1	1	yes	characteristic
938	C₂²×C₄	C₂×#546	1	1	yes	characteristic
939	C₂²×C₄	C₂×#546	1	1	yes	characteristic
940	C₂²×C₄	C₂×#546	1	1	yes	characteristic
941	C₂²×C₄	C₂×#546	1	1	yes	characteristic
942	C₂²×C₄	C₂×#546	1	1	yes	characteristic
943	C₂²×C₄	C₂×#546	1	1	yes	characteristic
944	C₂²×C₄	C₂×#546	1	1	yes	characteristic
945	C₂²×C₄	C₂×#546	1	1	yes	characteristic
946	C₂²×C₄	C₂×#546	1	1	yes	characteristic
947	C₂²×C₄	D₄×#41	1	1	yes	characteristic
948	C₂²×C₄	D₄×#41	1	1	yes	characteristic
949	C₂²×C₄	D₄×#41	1	1	yes	characteristic
950	C₂²×C₄	D₄×#41	1	1	yes	characteristic
951	C₂²×C₄	#3481	1	1	yes	characteristic
952	C₂²×C₄	#3481	1	1	yes	characteristic
953	C₂²×C₄	#3484	1	1	yes	characteristic
954	C₂²×C₄	#3484	1	1	yes	characteristic
955	C₂²×C₄	#3484	1	1	yes	characteristic
956	C₂²×C₄	#3484	1	1	yes	characteristic
957	C₂²×C₄	#3484	1	1	yes	characteristic
958	C₂²×C₄	#3484	1	1	yes	characteristic
959	C₂²×C₄	#3484	1	1	yes	characteristic
960	C₂²×C₄	#3484	1	1	yes	characteristic
961	C₂²×C₄	#3484	1	1	yes	characteristic
962	C₂²×C₄	#3484	1	1	yes	characteristic
963	C₂²×C₄	#3484	1	1	yes	characteristic
964	C₂²×C₄	#3484	1	1	yes	characteristic
965	C₂²×C₄	#3484	1	1	yes	characteristic
966	C₂²×C₄	#3484	1	1	yes	characteristic
967	C₂²×C₄	#3484	1	1	yes	characteristic
968	C₂²×C₄	#3484	1	1	yes	characteristic
969	C₂²×C₄	#3484	1	1	yes	characteristic
970	C₂²×C₄	#3485	1	1	yes	characteristic
971	C₂²×C₄	#3485	1	1	yes	characteristic
972	C₂²×C₄	#3485	1	1	yes	characteristic
973	C₂²×C₄	#3485	1	1	yes	characteristic
974	C₂²×C₄	#3488	1	1	yes	characteristic
975	C₂²×C₄	#3488	1	1	yes	characteristic
976	C₂²×C₄	#3488	1	1	yes	characteristic
977	C₂²×C₄	#3488	1	1	yes	characteristic
978	C₂²×C₄	#3488	1	1	yes	characteristic
979	C₂²×C₄	#3488	1	1	yes	characteristic
980	C₂²×C₄	#3488	1	1	yes	characteristic
981	C₂²×C₄	#3488	1	1	yes	characteristic
982	C₂²×C₄	#3488	1	1	yes	characteristic
983	C₂²×C₄	#3496	1	1	yes	characteristic
984	C₂²×C₄	#3496	1	1	yes	characteristic
985	C₂²×C₄	#3496	1	1	yes	characteristic
986	C₂²×C₄	#3496	1	1	yes	characteristic
987	C₂²×C₄	#3496	1	1	yes	characteristic
988	C₂²×C₄	#3496	1	1	yes	characteristic
989	C₂²×C₄	#3496	1	1	yes	characteristic
990	C₂²×C₄	#3496	1	1	yes	characteristic
991	C₂²×C₄	#3496	1	1	yes	characteristic
992	C₂²×C₄	#3496	1	1	yes	characteristic
993	C₂²×C₄	#3498	1	1	yes	characteristic
994	C₂²×C₄	#3498	1	1	yes	characteristic
995	C₂²×C₄	#3498	1	1	yes	characteristic
996	C₂²×C₄	#3498	1	1	yes	characteristic
997	C₂²×C₄	#3500	1	1	yes	characteristic
998	C₂²×C₄	#3500	1	1	yes	characteristic
999	C₂²×C₄	#3513	1	1	yes	characteristic
1000	C₂²×C₄	#3513	1	1	yes	characteristic
1001	C₂²×C₄	#3513	1	1	yes	characteristic
1002	C₂²×C₄	#3513	1	1	yes	characteristic
1003	C₂²×C₄	#3513	1	1	yes	characteristic
1004	C₂²×C₄	#3514	1	1	yes	characteristic
1005	C₂²×C₄	#3514	1	1	yes	characteristic
1006	C₂²×C₄	#3519	1	1	yes	characteristic
1007	C₂²×C₄	#3519	1	1	yes	characteristic
1008	C₂²×C₄	#3519	1	1	yes	characteristic
1009	C₂²×C₄	#3519	1	1	yes	characteristic
1010	C₂²×C₄	#3519	1	1	yes	characteristic
1011	C₂²×C₄	#3519	1	1	yes	characteristic
1012	C₂²×C₄	#3519	1	1	yes	characteristic
1013	C₂²×C₄	#3532	1	1	yes	characteristic
1014	C₂²×C₄	#3532	1	1	yes	characteristic
1015	C₂²×C₄	#3532	1	1	yes	characteristic
1016	C₂²×C₄	#3534	1	1	yes	characteristic
1017	C₂²×C₄	#3534	1	1	yes	characteristic
1018	C₂²×C₄	#3534	1	1	yes	characteristic
1019	C₂²×C₄	#3534	1	1	yes	characteristic
1020	C₂²×C₄	#3534	1	1	yes	characteristic
1021	C₂²×C₄	#3534	1	1	yes	characteristic
1022	C₂²×C₄	#3537	1	1	yes	characteristic
1023	C₂²×C₄	#3537	1	1	yes	characteristic
1024	C₂²×C₄	#3537	1	1	yes	characteristic
1025	C₂²×C₄	#3537	1	1	yes	characteristic
1026	C₂²×C₄	#3537	1	1	yes	characteristic
1027	C₂²×C₄	#3542	1	1	yes	characteristic
1028	C₂²×C₄	#3542	1	1	yes	characteristic
1029	C₂²×C₄	#3543	1	1	yes	characteristic
1030	C₂²×C₄	#3543	1	1	yes	characteristic
1031	C₂²×C₄	#3558	1	1	yes	characteristic
1032	C₂²×C₄	#3558	1	1	yes	characteristic
1033	M₁₆	C₂×#386	1	8	yes	—
1034	C₂×C₈	C₂×#379	1	8	yes	—
1035	C₄²	D₄×C₂²⋊C₄	1	8	yes	—
1036	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1037	C₂³	#34171	1	1	yes	characteristic
1038	C₂³	#34171	1	1	yes	characteristic
1039	C₂³	#34290	1	1	yes	characteristic
1040	C₂³	#34290	1	1	yes	characteristic
1041	C₂³	#34468	1	1	yes	characteristic
1042	C₂³	#34468	1	1	yes	characteristic
1043	C₂³	#35680	1	1	yes	characteristic
1044	C₂³	#35691	1	1	yes	characteristic
1045	C₂³	#35713	1	1	yes	characteristic
1046	C₂³	#35761	1	1	yes	characteristic
1047	C₂³	D₄×#120	1	1	yes	characteristic
1048	C₂³	D₄×#120	1	1	yes	characteristic
1049	C₂³	#36152	1	1	yes	characteristic
1050	C₂³	#36152	1	1	yes	characteristic
1051	C₂³	#40484	1	1	yes	characteristic
1052	C₂³	#40486	1	1	yes	characteristic
1053	C₂³	#40584	1	1	yes	characteristic
1054	C₂³	#40585	1	1	yes	characteristic
1055	C₂³	#43001	1	1	yes	characteristic
1056	C₂³	#43005	1	1	yes	characteristic
1057	C₂³	#43098	1	1	yes	characteristic
1058	C₂³	#43098	1	1	yes	characteristic
1059	C₂³	#43102	1	1	yes	characteristic
1060	C₂³	#43102	1	1	yes	characteristic
1061	C₂³	#43889	1	1	yes	characteristic
1062	C₂³	#43893	1	1	yes	characteristic
1063	C₂³	#58990	1	1	yes	characteristic
1064	C₂³	#58994	1	1	yes	characteristic
1065	C₂³	#58994	1	1	yes	characteristic
1066	C₂³	#58997	1	1	yes	characteristic
1067	C₂³	#59089	1	1	yes	characteristic
1068	C₂³	#59123	1	1	yes	characteristic
1069	C₂³	#59123	1	1	yes	characteristic
1070	C₂³	#59802	1	1	yes	characteristic
1071	Q₈	#13867	1	8	yes	—
1072	D₄	#13867	1	8	yes	—
1073	C₂×C₄	C₂²×#379	1	1	yes	characteristic
1074	C₂×C₄	C₂²×#386	1	1	yes	characteristic
1075	C₂×C₄	C₂×#2308	1	1	yes	characteristic
1076	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1077	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1078	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1079	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1080	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1081	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1082	C₂×C₄	C₄×D₄²	1	1	yes	characteristic
1083	C₂×C₄	C₄×D₄²	1	1	yes	characteristic
1084	C₂×C₄	#34171	1	1	yes	characteristic
1085	C₂×C₄	#34256	1	1	yes	characteristic
1086	C₂×C₄	#34256	1	1	yes	characteristic
1087	C₂×C₄	#34256	1	1	yes	characteristic
1088	C₂×C₄	#34256	1	1	yes	characteristic
1089	C₂×C₄	#34258	1	1	yes	characteristic
1090	C₂×C₄	#34258	1	1	yes	characteristic
1091	C₂×C₄	#34290	1	1	yes	characteristic
1092	C₂×C₄	#34290	1	1	yes	characteristic
1093	C₂×C₄	#34290	1	1	yes	characteristic
1094	C₂×C₄	#34290	1	1	yes	characteristic
1095	C₂×C₄	#34310	1	1	yes	characteristic
1096	C₂×C₄	#34310	1	1	yes	characteristic
1097	C₂×C₄	#34468	1	1	yes	characteristic
1098	C₂×C₄	#34468	1	1	yes	characteristic
1099	C₂×C₄	#34471	1	1	yes	characteristic
1100	C₂×C₄	#34471	1	1	yes	characteristic
1101	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1102	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1103	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1104	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1105	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1106	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1107	C₂×C₄	C₂×#2405	1	1	yes	characteristic
1108	C₂×C₄	C₂×#2405	1	1	yes	characteristic
1109	C₂×C₄	#35680	1	1	yes	characteristic
1110	C₂×C₄	#35680	1	1	yes	characteristic
1111	C₂×C₄	#35680	1	1	yes	characteristic
1112	C₂×C₄	#35680	1	1	yes	characteristic
1113	C₂×C₄	#35680	1	1	yes	characteristic
1114	C₂×C₄	#35691	1	1	yes	characteristic
1115	C₂×C₄	#35713	1	1	yes	characteristic
1116	C₂×C₄	#35750	1	1	yes	characteristic
1117	C₂×C₄	#35750	1	1	yes	characteristic
1118	C₂×C₄	#35750	1	1	yes	characteristic
1119	C₂×C₄	#35750	1	1	yes	characteristic
1120	C₂×C₄	#35761	1	1	yes	characteristic
1121	C₂×C₄	D₄×#120	1	1	yes	characteristic
1122	C₂×C₄	D₄×#120	1	1	yes	characteristic
1123	C₂×C₄	D₄×#120	1	1	yes	characteristic
1124	C₂×C₄	D₄×#121	1	1	yes	characteristic
1125	C₂×C₄	D₄×#121	1	1	yes	characteristic
1126	C₂×C₄	D₄×#123	1	1	yes	characteristic
1127	C₂×C₄	#36152	1	1	yes	characteristic
1128	C₂×C₄	#36152	1	1	yes	characteristic
1129	C₂×C₄	#36212	1	1	yes	characteristic
1130	C₂×C₄	#36214	1	1	yes	characteristic
1131	C₂×C₄	#36214	1	1	yes	characteristic
1132	C₂×C₄	#36236	1	1	yes	characteristic
1133	C₂×C₄	#37644	1	1	yes	characteristic
1134	C₂×C₄	#37646	1	1	yes	characteristic
1135	C₂×C₄	#37672	1	1	yes	characteristic
1136	C₂×C₄	#37672	1	1	yes	characteristic
1137	C₂×C₄	#38020	1	1	yes	characteristic
1138	C₂×C₄	#38022	1	1	yes	characteristic
1139	C₂×C₄	#38076	1	1	yes	characteristic
1140	C₂×C₄	#38076	1	1	yes	characteristic
1141	C₂×C₄	#40484	1	1	yes	characteristic
1142	C₂×C₄	#40486	1	1	yes	characteristic
1143	C₂×C₄	#40584	1	1	yes	characteristic
1144	C₂×C₄	#40585	1	1	yes	characteristic
1145	C₂×C₄	#42996	1	1	yes	characteristic
1146	C₂×C₄	#42996	1	1	yes	characteristic
1147	C₂×C₄	#42998	1	1	yes	characteristic
1148	C₂×C₄	#42998	1	1	yes	characteristic
1149	C₂×C₄	#43001	1	1	yes	characteristic
1150	C₂×C₄	#43001	1	1	yes	characteristic
1151	C₂×C₄	#43001	1	1	yes	characteristic
1152	C₂×C₄	#43005	1	1	yes	characteristic
1153	C₂×C₄	#43019	1	1	yes	characteristic
1154	C₂×C₄	#43019	1	1	yes	characteristic
1155	C₂×C₄	#43023	1	1	yes	characteristic
1156	C₂×C₄	#43023	1	1	yes	characteristic
1157	C₂×C₄	#43094	1	1	yes	characteristic
1158	C₂×C₄	#43094	1	1	yes	characteristic
1159	C₂×C₄	#43095	1	1	yes	characteristic
1160	C₂×C₄	#43095	1	1	yes	characteristic
1161	C₂×C₄	#43098	1	1	yes	characteristic
1162	C₂×C₄	#43098	1	1	yes	characteristic
1163	C₂×C₄	#43102	1	1	yes	characteristic
1164	C₂×C₄	#43102	1	1	yes	characteristic
1165	C₂×C₄	#43886	1	1	yes	characteristic
1166	C₂×C₄	#43886	1	1	yes	characteristic
1167	C₂×C₄	#43889	1	1	yes	characteristic
1168	C₂×C₄	#43893	1	1	yes	characteristic
1169	C₂×C₄	#58990	1	1	yes	characteristic
1170	C₂×C₄	#58994	1	1	yes	characteristic
1171	C₂×C₄	#58994	1	1	yes	characteristic
1172	C₂×C₄	#58997	1	1	yes	characteristic
1173	C₂×C₄	#58997	1	1	yes	characteristic
1174	C₂×C₄	#58997	1	1	yes	characteristic
1175	C₂×C₄	#59004	1	1	yes	characteristic
1176	C₂×C₄	#59004	1	1	yes	characteristic
1177	C₂×C₄	#59030	1	1	yes	characteristic
1178	C₂×C₄	#59030	1	1	yes	characteristic
1179	C₂×C₄	#59089	1	1	yes	characteristic
1180	C₂×C₄	#59095	1	1	yes	characteristic
1181	C₂×C₄	#59095	1	1	yes	characteristic
1182	C₂×C₄	#59123	1	1	yes	characteristic
1183	C₂×C₄	#59123	1	1	yes	characteristic
1184	C₂×C₄	#59126	1	1	yes	characteristic
1185	C₂×C₄	#59126	1	1	yes	characteristic
1186	C₂×C₄	#59131	1	1	yes	characteristic
1187	C₂×C₄	#59131	1	1	yes	characteristic
1188	C₂×C₄	#59408	1	1	yes	characteristic
1189	C₂×C₄	#59408	1	1	yes	characteristic
1190	C₂×C₄	#59802	1	1	yes	characteristic
1191	C₂×C₄	#59808	1	1	yes	characteristic
1192	C₂×C₄	#59808	1	1	yes	characteristic
1193	C₂²	#518019	1	1	yes	characteristic
1194	C₂²	D₄×#379	1	1	yes	characteristic
1195	C₂²	#534306	1	1	yes	characteristic
1196	C₂²	#534306	1	1	yes	characteristic
1197	C₂²	#539098	1	1	yes	characteristic
1198	C₂²	#539098	1	1	yes	characteristic
1199	C₂²	#553146	1	1	yes	characteristic
1200	C₂²	#772778	1	1	yes	characteristic
1201	C₂²	#772779	1	1	yes	characteristic
1202	C₂²	#772794	1	1	yes	characteristic
1203	C₂²	#772795	1	1	yes	characteristic
1204	C₂²	#773130	1	1	yes	characteristic
1205	C₂²	#773131	1	1	yes	characteristic
1206	C₂²	#773154	1	1	yes	characteristic
1207	C₂²	#773155	1	1	yes	characteristic
1208	C₄	C₂×#13867	1	1	yes	characteristic
1209	C₄	#517592	1	1	yes	characteristic
1210	C₄	D₄×#386	1	1	yes	characteristic
1211	C₄	#524461	1	1	yes	characteristic
1212	C₄	#534309	1	1	yes	characteristic
1213	C₄	#534309	1	1	yes	characteristic
1214	C₄	#538974	1	1	yes	characteristic
1215	C₄	#538974	1	1	yes	characteristic
1216	C₄	#772778	1	1	yes	characteristic
1217	C₄	#772779	1	1	yes	characteristic
1218	C₄	#772794	1	1	yes	characteristic
1219	C₄	#772795	1	1	yes	characteristic
1220	C₄	#773130	1	1	yes	characteristic
1221	C₄	#773131	1	1	yes	characteristic
1222	C₄	#773154	1	1	yes	characteristic
1223	C₄	#773155	1	1	yes	characteristic
1224	C₂	#72215995	1	2	yes	—
1225	C₂	#72251006	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#772778
commutator	C₂³×C₄	C₂⁴×C₄
Frattini, cosocle	C₂⁴×C₄	C₂⁵
prime radical	C₂×#10576108	C₂
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×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. #72317503	C₂	semidirect
2. #72317493	C₂	semidirect
3. #72317483	C₂	semidirect
4. #72317478	C₂	semidirect
5. #72317468	C₂	semidirect
6. #72317451	C₂	semidirect
7. #72317449	C₂	semidirect
8. #72317330	C₂	semidirect
9. #72317322	C₂	semidirect
10. #72317308	C₂	semidirect
11. #72317304	C₂	semidirect
12. #72316948	C₂	semidirect
13. #72314477	C₂	semidirect
14. #72256500	C₂	semidirect
15. #72256494	C₂	semidirect
16. #72256352	C₂	semidirect
17. #72256192	C₂	semidirect
18. #72255991	C₂	semidirect
19. #72255693	C₂	semidirect
20. #72252150	C₂	semidirect
21. #72252144	C₂	semidirect
22. #72252140	C₂	semidirect
23. #72252126	C₂	semidirect
24. C₂×#359681	C₂	semidirect
25. #72251260	C₂	semidirect
26. #72250596	C₂	semidirect
27. #72239651	C₂	semidirect
28. C₂×#364596	C₂	semidirect
29. C₂×#368857	C₂	semidirect
31. C₂×#359645	C₂	semidirect
36. #10576108	C₄	semidirect
47. #10574166	C₂²	semidirect
48. C₂×#60182	C₂²	semidirect
50. C₂×#60064	C₂²	semidirect
51. #10574061	C₂²	semidirect
52. C₂×#60093	C₂²	semidirect
53. C₂×#60087	C₂²	semidirect
54. #7625442	C₂²	semidirect
55. C₂×#21249	C₂²	semidirect
56. #6372005	C₂²	semidirect
57. C₂²×#1910	C₂²	semidirect
58. #6371536	C₂²	semidirect
61. C₂×#21005	C₂²	semidirect
62. C₂×#21005	C₂²	semidirect
63. C₂×#20998	C₂²	semidirect
64. C₂×#20995	C₂²	semidirect
65. C₂²×#1891	C₂²	semidirect
66. C₂×#20959	C₂²	semidirect
67. C₂×#20956	C₂²	semidirect
68. #6371439	C₂²	semidirect
69. #6371439	C₂²	semidirect
72. C₂×#20945	C₂²	semidirect
73. C₂×#20945	C₂²	semidirect
74. C₂×#20939	C₂²	semidirect
75. #6370833	C₂²	semidirect
76. C₂²×#1795	C₂²	semidirect
77. C₂×#20620	C₂²	semidirect
78. #6370746	C₂²	semidirect
79. C₂×#20616	C₂²	semidirect
80. C₂×#20616	C₂²	semidirect
81. C₂×#20605	C₂²	semidirect
82. #6370715	C₂²	semidirect
83. C₂×#20598	C₂²	semidirect
84. C₂×#20598	C₂²	semidirect
85. C₂²×#1783	C₂²	semidirect
86. #6369866	C₂²	semidirect
87. #6369745	C₂²	semidirect
88. C₂×#20338	C₂²	semidirect
89. #517415	C₂²	semidirect
90. C₂×#11246	C₂²	semidirect
91. #358064	C₂²	semidirect
92. #357945	C₂²	semidirect
93. C₂×#11180	C₂²	semidirect
94. C₂×#11133	C₂²	semidirect
95. C₂×#11131	C₂²	semidirect
96. #357818	C₂²	semidirect
97. C₂×#11129	C₂²	semidirect
98. C₂×#11101	C₂²	semidirect
99. C₂×#11100	C₂²	semidirect
100. C₂×#11034	C₂²	semidirect
101. C₂×#11033	C₂²	semidirect
102. C₂×#11032	C₂²	semidirect
103. C₂×#11032	C₂²	semidirect
104. #357586	C₂²	semidirect
105. C₂×#11030	C₂²	semidirect
106. #357581	C₂²	semidirect
107. #357581	C₂²	semidirect
108. #357581	C₂²	semidirect
109. #357581	C₂²	semidirect
110. #357581	C₂²	semidirect
111. #357571	C₂²	semidirect
112. #357571	C₂²	semidirect
113. #357571	C₂²	semidirect
114. #357571	C₂²	semidirect
115. #357571	C₂²	semidirect
116. C₂×#11014	C₂²	semidirect
117. C₂×#11012	C₂²	semidirect
118. #357561	C₂²	semidirect
119. C₂×#11004	C₂²	semidirect
120. C₂×#11004	C₂²	semidirect
121. C₂×#11003	C₂²	semidirect
122. C₂×#11000	C₂²	semidirect
123. #357548	C₂²	semidirect
124. #357548	C₂²	semidirect
125. #357548	C₂²	semidirect
126. #357548	C₂²	semidirect
127. #357548	C₂²	semidirect
132. C₂×#10994	C₂²	semidirect
133. C₂×#10994	C₂²	semidirect
134. C₂×#10994	C₂²	semidirect
135. C₂×#10994	C₂²	semidirect
136. C₂×#10993	C₂²	semidirect
137. #357529	C₂²	semidirect
138. C₂×#10989	C₂²	semidirect
139. C₂×#10989	C₂²	semidirect
140. #357452	C₂²	semidirect
141. #357452	C₂²	semidirect
142. C₂×#10953	C₂²	semidirect
143. C₂×#10950	C₂²	semidirect
144. #354038	C₂²	semidirect
145. C₂×#10948	C₂²	semidirect
146. C₂×#10937	C₂²	semidirect
147. C₂×#10937	C₂²	semidirect
148. #353914	C₂²	semidirect
149. C₂×#10890	C₂²	semidirect
150. C₂×#10787	C₂²	semidirect
151. C₂×#10787	C₂²	semidirect
152. #353468	C₂²	semidirect
153. C₂×#10785	C₂²	semidirect
154. C₂×#10785	C₂²	semidirect
155. C₂×#10740	C₂²	semidirect
156. C₂×#10740	C₂²	semidirect
157. #353416	C₂²	semidirect
158. #353416	C₂²	semidirect
159. #353403	C₂²	semidirect
160. #353397	C₂²	semidirect
161. C₂×#10794	C₂²	semidirect
162. C₂×#10792	C₂²	semidirect
163. C₂×#10778	C₂²	semidirect
164. C₂×#10778	C₂²	semidirect
165. #353362	C₂²	semidirect
166. #353362	C₂²	semidirect
167. #353352	C₂²	semidirect
168. #123999	C₂²	semidirect
169. #123991	C₂²	semidirect
170. #123984	C₂²	semidirect
171. #123976	C₂²	semidirect
172. #123638	C₂²	semidirect
173. #123628	C₂²	semidirect
174. #123623	C₂²	semidirect
175. #123619	C₂²	semidirect
176. #123611	C₂²	semidirect
177. #123611	C₂²	semidirect
178. #123609	C₂²	semidirect
179. #123607	C₂²	semidirect
180. #123607	C₂²	semidirect
181. #123600	C₂²	semidirect
182. #123554	C₂²	semidirect
183. #123547	C₂²	semidirect
184. #123505	C₂²	semidirect
185. #123505	C₂²	semidirect
186. #123505	C₂²	semidirect
187. #123501	C₂²	semidirect
199. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
211. #62811	C₂×C₄	semidirect
212. C₂×#3484	C₂×C₄	semidirect
225. #60644	C₂×C₄	semidirect
226. #60454	C₂×C₄	semidirect
227. #60444	C₂×C₄	semidirect
230. #60423	C₂×C₄	semidirect
233. #60369	C₂×C₄	semidirect
234. #60367	C₂×C₄	semidirect
240. C₂×#3003	C₂×C₄	semidirect
242. #60168	C₂×C₄	semidirect
243. #60141	C₂×C₄	semidirect
317. C₂×#1907	D₄	semidirect
318. C₂×#1883	D₄	semidirect
395. C₂×#577	C₂²⋊C₄	semidirect
396. C₂×#576	C₂²⋊C₄	semidirect
434. C₂²×#131	C₂×D₄	semidirect
466. C₂×#520	C₂×D₄	semidirect
480. #3040	C₂²⋊C₄	semidirect
481. #3038	C₂²⋊C₄	semidirect
482. #3005	C₂²⋊C₄	semidirect
483. #3005	C₂²⋊C₄	semidirect
484. #3004	C₂²⋊C₄	semidirect
485. #3003	C₂²⋊C₄	semidirect
491. C₂²×#104	C₂×D₄	semidirect
500. C₂×#417	C₂×D₄	semidirect
511. C₂×#418	C₂×D₄	semidirect
512. C₂²×#102	C₂×D₄	semidirect
513. C₂²×#100	C₂×D₄	semidirect
522. C₂×#390	C₂×D₄	semidirect
525. C₂×#343	C₂×D₄	semidirect
526. C₂×#343	C₂×D₄	semidirect
527. C₂×#341	C₂×D₄	semidirect
529. C₂×#339	C₂×D₄	semidirect
534. C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	semidirect
602. C₂×#137	C₂×C₂²⋊C₄	semidirect
610. C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	semidirect
622. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
625. C₂²×D₈	C₂×C₂²⋊C₄	semidirect
627. C₂×#131	C₂×C₂²⋊C₄	semidirect
656. C₂×#127	C₂×C₂²⋊C₄	semidirect
657. C₂×#124	C₂×C₂²⋊C₄	semidirect
684. #423	C₂×C₂²⋊C₄	semidirect
687. #419	C₂×C₂²⋊C₄	semidirect
690. #418	C₂×C₂²⋊C₄	semidirect
691. #418	C₂×C₂²⋊C₄	semidirect
816. C₂×Q₁₆	#379	semidirect
817. C₂×SD₁₆	#379	semidirect
818. C₂×SD₁₆	#379	semidirect
819. C₂×D₈	#379	semidirect

Maximal subgroups

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

subgroup	index
#72317503	2
#72317493	2
#72317483	2
#72317478	2
#72317468	2
#72317451	2
#72317449	2
#72317330	2
#72317322	2
#72317308	2
#72317304	2
#72316948	2
#72314477	2
#72256500	2
#72256494	2
#72256352	2
#72256192	2
#72255991	2
#72255693	2
#72252150	2
#72252144	2
#72252140	2
#72252126	2
C₂×#359681	2
#72251260	2
#72250596	2
#72239651	2
C₂×#364596	2
C₂×#368857	2
C₂×#10576108	2
C₂×#359645	2