Subgroups — #72317337

Order 2048.

At least 15609 conjugacy classes of subgroups; only the 2140 normal subgroups are shown.

The subgroup lattice has 1134 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72317330	C₂	1	1	yes	maximal, characteristic, complemented
2	#72317322	C₂	1	1	yes	maximal, characteristic, complemented
3	#72317314	C₂	1	1	yes	maximal, characteristic, complemented
4	#72317311	C₂	1	1	yes	maximal, characteristic, complemented
5	#72317308	C₂	1	1	yes	maximal, characteristic, complemented
6	#72317306	C₂	1	1	yes	maximal, characteristic, complemented
7	#72317304	C₂	1	1	yes	maximal, characteristic, complemented
8	#72317302	C₂	1	1	yes	maximal, characteristic, complemented
9	#72317300	C₂	1	1	yes	maximal, characteristic, complemented
10	#72316854	C₂	1	1	yes	maximal, characteristic, complemented
11	#72256499	C₂	1	1	yes	maximal, characteristic, complemented
12	#72256495	C₂	1	1	yes	maximal, characteristic, complemented
13	#72256476	C₂	1	1	yes	maximal, characteristic, complemented
14	#72252149	C₂	1	1	yes	maximal, characteristic, complemented
15	#72252145	C₂	1	1	yes	maximal, characteristic, complemented
16	#72252143	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#359681	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#394367	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#368888	C₂	1	1	yes	maximal, characteristic, complemented
20	#72251260	C₂	1	1	yes	maximal, characteristic, complemented
21	#72251207	C₂	1	1	yes	maximal, characteristic, complemented
22	#72251201	C₂	1	1	yes	maximal, characteristic, complemented
23	#72250803	C₂	1	1	yes	maximal, characteristic, complemented
24	#72250500	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#6437793	C₂	1	1	yes	maximal, characteristic, complemented
26	#72237512	C₂	1	1	yes	maximal, characteristic, complemented
27	#72237191	C₂	1	1	yes	maximal, characteristic, complemented
28	#72237174	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#10576108	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#394102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#394108	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	C₂×#60644	C₂²	1	1	yes	characteristic
37	#10574956	C₂²	1	1	yes	characteristic, complemented
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	C₂²×#3068	C₂²	1	1	yes	characteristic
43	C₂²×#3068	C₂²	1	1	yes	characteristic, complemented
44	C₂×#60369	C₂²	1	1	yes	characteristic
45	C₂×#60367	C₂²	1	1	yes	characteristic
46	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
47	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
48	C₂×#60359	C₂²	1	1	yes	characteristic
49	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#3003	C₂²	1	1	yes	characteristic
51	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
52	C₂×#60141	C₂²	1	1	yes	characteristic
53	C₂×#60168	C₂²	1	1	yes	characteristic
54	C₂×#60064	C₂²	1	1	yes	characteristic, complemented
55	#10574061	C₂²	1	1	yes	characteristic, complemented
56	C₂×#60093	C₂²	1	1	yes	characteristic, complemented
57	#7625442	C₂²	1	1	yes	characteristic, complemented
58	#6431944	C₂²	1	1	yes	characteristic, complemented
59	C₂×#23531	C₂²	1	1	yes	characteristic, complemented
60	C₂×#23531	C₂²	1	1	yes	characteristic, complemented
61	C₂×#23521	C₂²	1	1	yes	characteristic, complemented
62	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
63	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
64	C₂×#23439	C₂²	1	1	yes	characteristic, complemented
65	C₂×#23439	C₂²	1	1	yes	characteristic, complemented
66	#6431766	C₂²	1	1	yes	characteristic, complemented
67	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#2010	C₂²	1	1	yes	characteristic
69	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
70	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
71	#6431733	C₂²	1	1	yes	characteristic, complemented
72	C₂×#23407	C₂²	1	1	yes	characteristic, complemented
73	#6431722	C₂²	1	1	yes	characteristic, complemented
74	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
75	#6371536	C₂²	1	1	yes	characteristic, complemented
76	C₂×#21005	C₂²	1	1	yes	characteristic
77	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
78	C₂×#21000	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
81	C₂²×#1904	C₂²	1	1	yes	characteristic, complemented
82	C₂×#20995	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20989	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20945	C₂²	1	1	yes	characteristic
85	C₂×#20945	C₂²	1	1	yes	characteristic
86	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
87	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
88	#6371397	C₂²	1	1	yes	characteristic, complemented
89	#6371331	C₂²	1	1	yes	characteristic, complemented
90	C₂×#20851	C₂²	1	1	yes	characteristic, complemented
91	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
92	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
93	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
94	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
95	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
96	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
97	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
98	#6369745	C₂²	1	1	yes	characteristic, complemented
99	C₂×#20338	C₂²	1	1	yes	characteristic, complemented
100	#517415	C₂²	1	1	yes	characteristic, complemented
101	#358489	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11247	C₂²	1	1	yes	characteristic, complemented
103	C₂×#11157	C₂²	1	1	yes	characteristic, complemented
104	#357839	C₂²	1	1	yes	characteristic, complemented
105	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
106	C₂×#11118	C₂²	1	1	yes	characteristic, complemented
107	C₂×#11116	C₂²	1	1	yes	characteristic, complemented
108	#357750	C₂²	1	1	yes	characteristic, complemented
109	C₂×#11058	C₂²	1	1	yes	characteristic, complemented
110	#357651	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11071	C₂²	1	1	yes	characteristic, complemented
112	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
114	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
116	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
117	#357586	C₂²	1	1	yes	characteristic, complemented
118	#357586	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
120	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
121	#357581	C₂²	1	1	yes	characteristic, complemented
122	#357575	C₂²	1	1	yes	characteristic, complemented
123	#357571	C₂²	1	1	yes	characteristic, complemented
124	#357571	C₂²	1	1	yes	characteristic, complemented
125	#357571	C₂²	1	1	yes	characteristic, complemented
126	#357571	C₂²	1	1	yes	characteristic, complemented
127	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
128	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
129	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
130	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
131	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
132	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
133	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
134	#357548	C₂²	1	1	yes	characteristic, complemented
135	#357548	C₂²	1	1	yes	characteristic, complemented
136	#357548	C₂²	1	1	yes	characteristic, complemented
137	#357548	C₂²	1	1	yes	characteristic, complemented
138	C₂×#10994	C₂²	1	1	yes	characteristic
139	C₂×#10994	C₂²	1	1	yes	characteristic
140	C₂×#10994	C₂²	1	1	yes	characteristic
141	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
142	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
143	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
144	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
145	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
146	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
147	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
148	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
149	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
150	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
151	#357470	C₂²	1	1	yes	characteristic, complemented
152	#357452	C₂²	1	1	yes	characteristic, complemented
153	#357452	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10955	C₂²	1	1	yes	characteristic, complemented
155	C₂×#10905	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10787	C₂²	1	1	yes	characteristic, complemented
157	C₂×#10785	C₂²	1	1	yes	characteristic, complemented
158	C₂×#10740	C₂²	1	1	yes	characteristic, complemented
159	C₂×#10740	C₂²	1	1	yes	characteristic, complemented
160	#353416	C₂²	1	1	yes	characteristic, complemented
161	#353397	C₂²	1	1	yes	characteristic, complemented
162	C₂×#10794	C₂²	1	1	yes	characteristic, complemented
163	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
164	C₂×#10778	C₂²	1	1	yes	characteristic, complemented
165	C₂×#10778	C₂²	1	1	yes	characteristic, complemented
166	#353362	C₂²	1	1	yes	characteristic, complemented
167	#123991	C₂²	1	1	yes	characteristic, complemented
168	#123984	C₂²	1	1	yes	characteristic, complemented
169	#123912	C₂²	1	1	yes	characteristic, complemented
170	#123910	C₂²	1	1	yes	characteristic, complemented
171	#123628	C₂²	1	1	yes	characteristic, complemented
172	#123623	C₂²	1	1	yes	characteristic, complemented
173	#123619	C₂²	1	1	yes	characteristic, complemented
174	#123618	C₂²	1	1	yes	characteristic, complemented
175	#123611	C₂²	1	1	yes	characteristic, complemented
176	#123611	C₂²	1	1	yes	characteristic, complemented
177	#123607	C₂²	1	1	yes	characteristic, complemented
178	#123604	C₂²	1	1	yes	characteristic, complemented
179	#123602	C₂²	1	1	yes	characteristic, complemented
180	#123563	C₂²	1	1	yes	characteristic, complemented
181	#123560	C₂²	1	1	yes	characteristic, complemented
182	#123547	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123532	C₂²	1	1	yes	characteristic, complemented
185	#123505	C₂²	1	1	yes	characteristic, complemented
186	#123505	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
188	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
189	C₂⁴×#41	C₂³	1	1	yes	characteristic
190	C₂⁵×D₄	C₂³	1	1	yes	characteristic
191	C₂²×#577	D₄	1	4	yes	complemented
192	C₂²×#576	D₄	1	4	yes	complemented
193	C₂²×#575	C₂³	1	1	yes	characteristic
194	C₂²×#575	C₂³	1	1	yes	characteristic
195	C₂²×#575	C₂³	1	1	yes	characteristic
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)	D₄	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	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
207	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
208	C₂²×#568	C₂³	1	1	yes	characteristic
209	C₂²×#568	C₂³	1	1	yes	characteristic
210	C₂²×#568	C₂³	1	1	yes	characteristic
211	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
212	#62811	D₄	1	8	yes	complemented
213	C₂×#3449	C₂³	1	1	yes	characteristic
214	C₂×#3449	C₂³	1	1	yes	characteristic
215	C₂×#3449	C₂³	1	1	yes	characteristic
216	C₂×#3449	C₂³	1	1	yes	characteristic
217	C₂²×#535	C₂³	1	1	yes	characteristic
218	C₂²×#535	C₂³	1	1	yes	characteristic
219	C₂²×#525	C₂³	1	1	yes	characteristic
220	C₂²×#525	C₂³	1	1	yes	characteristic
221	C₂²×#525	C₂³	1	1	yes	characteristic
222	C₂²×#525	C₂³	1	1	yes	characteristic
223	C₂×#3428	C₂³	1	1	yes	characteristic
224	C₂×#3428	C₂³	1	1	yes	characteristic
225	C₂×#3428	C₂³	1	1	yes	characteristic
226	C₂²×#518	C₂³	1	1	yes	characteristic
227	C₂²×#472	D₄	1	4	yes	complemented
228	C₂²×#471	D₄	1	4	yes	complemented
229	C₂×#3040	D₄	1	4	yes	complemented
230	C₂×#3038	D₄	1	4	yes	complemented
231	#60369	D₄	1	8	yes	complemented
232	C₂×#3005	D₄	1	2	yes	complemented
233	C₂×#3005	D₄	1	2	yes	complemented
234	C₂×#3004	D₄	1	2	yes	complemented
235	C₂×#3003	D₄	1	2	yes	complemented
236	#60168	D₄	1	8	yes	complemented
237	C₂²×#430	C₂³	1	1	yes	characteristic
238	C₂²×#430	C₂³	1	1	yes	characteristic
239	C₂×#2911	C₂³	1	1	yes	characteristic
240	C₂×#2905	C₂³	1	1	yes	characteristic
241	C₂×#2905	C₂³	1	1	yes	characteristic
242	C₂²×#421	C₂³	1	1	yes	characteristic
243	C₂²×#421	C₂³	1	1	yes	characteristic
244	C₂²×#421	C₂³	1	1	yes	characteristic
245	C₂²×#421	C₂³	1	1	yes	characteristic
246	C₂²×#421	C₂³	1	1	yes	characteristic
247	C₂²×#421	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	C₂×#2896	C₂³	1	1	yes	characteristic
257	C₂×#2896	C₂³	1	1	yes	characteristic
258	C₂×#2896	C₂³	1	1	yes	characteristic
259	C₂×#2896	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	C₂²×#418	C₂³	1	1	yes	characteristic
271	C₂²×#418	C₂³	1	1	yes	characteristic
272	C₂²×#418	C₂³	1	1	yes	characteristic
273	C₂²×#418	C₂³	1	1	yes	characteristic
274	C₂²×#418	C₂³	1	1	yes	characteristic
275	C₂²×#418	C₂³	1	1	yes	characteristic
276	C₂²×#418	C₂³	1	1	yes	characteristic
277	C₂²×#418	C₂³	1	1	yes	characteristic
278	C₂²×#413	C₂³	1	1	yes	characteristic
279	C₂²×#413	C₂³	1	1	yes	characteristic
280	C₂²×#413	C₂³	1	1	yes	characteristic
281	C₂²×#413	C₂³	1	1	yes	characteristic
282	C₂³×#100	C₂³	1	1	yes	characteristic
283	C₂³×#100	C₂³	1	1	yes	characteristic
284	C₂³×#100	C₂³	1	1	yes	characteristic
285	C₂³×#100	C₂³	1	1	yes	characteristic
286	C₂²×#410	C₂³	1	1	yes	characteristic
287	C₂²×#410	C₂³	1	1	yes	characteristic
288	C₂²×#410	C₂³	1	1	yes	characteristic
289	C₂²×#410	C₂³	1	1	yes	characteristic
290	C₂×#2879	C₂³	1	1	yes	characteristic
291	C₂×#2879	C₂³	1	1	yes	characteristic
292	C₂×#2879	C₂³	1	1	yes	characteristic
293	C₂×#2879	C₂³	1	1	yes	characteristic
294	C₂×#2879	C₂³	1	1	yes	characteristic
295	C₂²×#407	C₂³	1	1	yes	characteristic
296	C₂²×#407	C₂³	1	1	yes	characteristic
297	C₂²×#407	C₂³	1	1	yes	characteristic
298	C₂²×#407	C₂³	1	1	yes	characteristic
299	C₂²×#407	C₂³	1	1	yes	characteristic
300	C₂×#2873	C₂³	1	1	yes	characteristic
301	#34044	C₂³	1	1	yes	characteristic
302	#34044	C₂³	1	1	yes	characteristic
303	C₂×#2309	C₂³	1	1	yes	characteristic
304	C₂×#2309	C₂³	1	1	yes	characteristic
305	C₂×#2309	C₂³	1	1	yes	characteristic
306	C₂×#2309	C₂³	1	1	yes	characteristic
307	C₂×#2280	C₂³	1	1	yes	characteristic
308	C₂×#2280	C₂³	1	1	yes	characteristic
309	C₂×#2280	C₂³	1	1	yes	characteristic
310	#21005	D₄	1	8	yes	complemented
311	C₂×#1883	D₄	1	8	yes	complemented
312	C₂²×#344	C₂³	1	1	yes	characteristic
313	C₂²×#344	C₂³	1	1	yes	characteristic
314	C₂²×#344	C₂³	1	1	yes	characteristic
315	C₂²×#344	C₂³	1	1	yes	characteristic
316	C₂²×#344	C₂³	1	1	yes	characteristic
317	C₂²×#344	C₂³	1	1	yes	characteristic
318	C₂²×#344	C₂³	1	1	yes	characteristic
319	C₂²×#344	C₂³	1	1	yes	characteristic
320	C₂×#1742	C₂³	1	1	yes	characteristic
321	C₂×#1742	C₂³	1	1	yes	characteristic
322	C₂×#1742	C₂³	1	1	yes	characteristic
323	C₂×#1742	C₂³	1	1	yes	characteristic
324	C₂×#1742	C₂³	1	1	yes	characteristic
325	C₂×#1742	C₂³	1	1	yes	characteristic
326	C₂×#1742	C₂³	1	1	yes	characteristic
327	C₂×#1742	C₂³	1	1	yes	characteristic
328	C₂×#1740	C₂³	1	1	yes	characteristic
329	C₂×#1740	C₂³	1	1	yes	characteristic
330	C₂×#1738	C₂³	1	1	yes	characteristic
331	C₂×#1738	C₂³	1	1	yes	characteristic
332	C₂×#1738	C₂³	1	1	yes	characteristic
333	C₂×#1738	C₂³	1	1	yes	characteristic
334	C₂×#1738	C₂³	1	1	yes	characteristic
335	C₂×#1733	C₂³	1	1	yes	characteristic
336	C₂×#1733	C₂³	1	1	yes	characteristic
337	C₂×#1733	C₂³	1	1	yes	characteristic
338	C₂×#1733	C₂³	1	1	yes	characteristic
339	C₂×#1733	C₂³	1	1	yes	characteristic
340	C₂×#1733	C₂³	1	1	yes	characteristic
341	C₂×#1733	C₂³	1	1	yes	characteristic
342	C₂×#1733	C₂³	1	1	yes	characteristic
343	C₂×#1733	C₂³	1	1	yes	characteristic
344	C₂×#1733	C₂³	1	1	yes	characteristic
345	C₂×#1733	C₂³	1	1	yes	characteristic
346	C₂×#1733	C₂³	1	1	yes	characteristic
347	C₂²×#338	C₂³	1	1	yes	characteristic
348	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
349	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
350	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
351	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
352	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
353	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
354	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
355	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
356	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
357	#20335	C₂³	1	1	yes	characteristic
358	#10994	D₄	1	4	yes	complemented
359	#10994	D₄	1	4	yes	complemented
360	C₂×#585	C₂×D₄	1	4	yes	—
361	C₂×#585	C₂×D₄	1	4	yes	—
362	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
363	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
364	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
365	C₂³×#41	C₂×D₄	1	4	yes	—
366	C₂³×#41	C₂×D₄	1	4	yes	—
367	C₂³×#41	C₂×D₄	1	1	yes	characteristic
368	C₂³×#41	C₂×D₄	1	1	yes	characteristic
369	C₂³×#41	C₂⁴	1	1	yes	characteristic
370	C₂³×#41	C₂⁴	1	1	yes	characteristic
371	C₂³×#41	C₂⁴	1	1	yes	characteristic
372	C₂³×#41	C₂⁴	1	1	yes	characteristic
373	C₂³×#41	C₂⁴	1	1	yes	characteristic
374	C₂³×#41	C₂⁴	1	1	yes	characteristic
375	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
376	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
377	C₂⁴×D₄	C₂×D₄	1	4	yes	—
378	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
379	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
380	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
381	C₂²×#137	C₂×D₄	1	2	yes	—
382	C₂²×#137	C₂×D₄	1	2	yes	—
383	C₂²×#137	C₂×D₄	1	2	yes	—
384	C₂²×#137	C₂×D₄	1	2	yes	—
385	C₂²×#137	C₂×D₄	1	2	yes	complemented
386	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
387	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
388	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
389	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
390	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
391	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
392	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
393	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
394	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
395	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
396	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
397	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
398	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
399	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
400	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
401	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
402	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
403	C₂²×AGL(1,ℤ/8)	#41	1	4	yes	—
404	C₂²×#135	C₂×D₄	1	4	yes	—
405	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
406	C₂³×SD₁₆	C₂×D₄	1	2	yes	complemented
407	C₂³×D₈	C₂×D₄	1	2	yes	—
408	C₂³×D₈	C₂×D₄	1	2	yes	complemented
409	C₂×#568	C₂×D₄	1	4	yes	complemented
410	C₂²×#131	C₂×D₄	1	4	yes	—
411	C₂²×#131	C₂×D₄	1	4	yes	complemented
412	C₂³×M₁₆	C₂×D₄	1	4	yes	—
413	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
414	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
415	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
416	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
417	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
418	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
419	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
420	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
421	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
422	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
423	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
424	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
425	#3449	C₂×D₄	1	4	yes	—
426	#3449	C₂×D₄	1	4	yes	—
427	C₂×#535	C₂×D₄	1	4	yes	—
428	C₂²×#127	C₂×D₄	1	2	yes	—
429	C₂²×#124	C₂×D₄	1	2	yes	—
430	C₂×#525	C₂×D₄	1	4	yes	—
431	C₂×#525	C₂×D₄	1	2	yes	—
432	C₂×#525	C₂×D₄	1	2	yes	—
433	C₂×#525	C₂×D₄	1	2	yes	—
434	C₂×#525	C₂×D₄	1	2	yes	—
435	C₂×#525	C₂×D₄	1	4	yes	—
436	C₂×#525	#41	1	4	yes	—
437	#3428	C₂×D₄	1	4	yes	—
438	#3428	C₂×D₄	1	4	yes	—
439	C₂×#520	C₂×D₄	1	4	yes	complemented
440	C₂×#518	C₂×D₄	1	4	yes	—
441	C₂×C₄×#41	C₂×D₄	1	4	yes	—
442	C₂²×#117	C₂⁴	1	1	yes	characteristic
443	C₂²×#117	C₂⁴	1	1	yes	characteristic
444	C₂²×#117	C₂⁴	1	1	yes	characteristic
445	C₂²×#117	C₂⁴	1	1	yes	characteristic
446	C₂²×#117	C₂⁴	1	1	yes	characteristic
447	C₂²×#117	C₂⁴	1	1	yes	characteristic
448	C₂²×#117	C₂⁴	1	1	yes	characteristic
449	C₂²×#117	C₂⁴	1	1	yes	characteristic
450	C₂²×#117	C₂⁴	1	1	yes	characteristic
451	C₂²×#117	C₂⁴	1	1	yes	characteristic
452	C₂²×#108	C₂×D₄	1	4	yes	complemented
453	#2911	C₂×D₄	1	4	yes	—
454	C₂×#423	C₂×D₄	1	4	yes	—
455	C₂×#421	C₂×D₄	1	4	yes	—
456	C₂²×#104	C₂×D₄	1	4	yes	complemented
457	#2896	C₂×D₄	1	4	yes	—
458	#2896	C₂×D₄	1	4	yes	—
459	#2896	C₂×D₄	1	4	yes	—
460	#2896	C₂×D₄	1	4	yes	—
461	#2896	C₂×D₄	1	4	yes	complemented
462	C₂×#419	C₂×D₄	1	2	yes	—
463	C₂×#419	C₂×D₄	1	2	yes	—
464	C₂×#419	C₂×D₄	1	2	yes	—
465	C₂×#418	C₂×D₄	1	2	yes	—
466	C₂×#418	C₂×D₄	1	4	yes	—
467	C₂×#418	C₂×D₄	1	4	yes	—
468	C₂×#418	C₂×D₄	1	2	yes	—
469	C₂×#418	C₂×D₄	1	2	yes	—
470	C₂×#418	C₂×D₄	1	4	yes	complemented
471	C₂×#418	C₂×D₄	1	4	yes	complemented
472	C₂²×#101	C₂×D₄	1	2	yes	complemented
473	C₂²×#100	C₂×D₄	1	2	yes	complemented
474	C₂²×#100	C₂×D₄	1	4	yes	complemented
475	C₂²×#100	C₂×D₄	1	4	yes	complemented
476	#2879	C₂×D₄	1	4	yes	—
477	C₂×#407	C₂×D₄	1	2	yes	—
478	C₂×#407	C₂×D₄	1	2	yes	—
479	C₂×#407	C₂×D₄	1	2	yes	—
480	C₂×#407	C₂×D₄	1	2	yes	—
481	#2873	C₂×D₄	1	4	yes	—
482	C₂×#390	C₂×D₄	1	4	yes	complemented
483	#2280	C₂×D₄	1	2	yes	—
484	#2280	C₂×D₄	1	2	yes	—
485	#1742	C₂×D₄	1	4	yes	complemented
486	C₂×#343	C₂×D₄	1	4	yes	complemented
487	#1738	C₂×D₄	1	4	yes	complemented
488	#1733	C₂×D₄	1	4	yes	—
489	C₂×#339	C₂×D₄	1	4	yes	complemented
490	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
491	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
492	C₂×2₋¹⁺⁴	#120	1	8	yes	—
493	C₂×H(5,𝔽₂)	#120	1	8	yes	—
494	C₂²×#41	#120	1	4	yes	—
495	C₂²×#41	#120	1	4	yes	—
496	C₂²×#41	C₂²×D₄	1	2	yes	—
497	C₂²×#41	C₂²×D₄	1	2	yes	—
498	C₂²×#41	C₂²×D₄	1	2	yes	—
499	C₂²×#41	C₂²×D₄	1	2	yes	—
500	C₂²×#41	C₂²×D₄	1	2	yes	—
501	C₂²×#41	C₂²×D₄	1	2	yes	—
502	C₂²×#41	C₂²×D₄	1	2	yes	—
503	C₂²×#41	C₂²×D₄	1	2	yes	—
504	C₂²×#41	C₂²×D₄	1	2	yes	—
505	C₂²×#41	C₂²×D₄	1	2	yes	—
506	C₂²×#41	C₂²×D₄	1	2	yes	—
507	C₂²×#41	C₂²×D₄	1	2	yes	—
508	C₂²×#41	C₂²×D₄	1	2	yes	—
509	C₂²×#41	C₂²×D₄	1	2	yes	—
510	C₂²×#41	C₂²×D₄	1	2	yes	—
511	C₂²×#41	C₂²×D₄	1	2	yes	—
512	C₂²×#41	C₂²×D₄	1	2	yes	—
513	C₂²×#41	C₂²×D₄	1	2	yes	—
514	C₂²×#41	C₂²×D₄	1	2	yes	—
515	C₂²×#41	C₂×#41	1	2	yes	—
516	C₂²×#41	C₂×#41	1	2	yes	—
517	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
518	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
519	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
520	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
521	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
522	C₂³×Q₈	#120	1	4	yes	—
523	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
524	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
525	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
526	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
527	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
528	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
529	C₂³×D₄	#120	1	4	yes	—
530	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
531	C₂³×D₄	C₂²×D₄	1	2	yes	—
532	C₂³×D₄	C₂²×D₄	1	2	yes	—
533	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
534	C₂³×D₄	C₂²×D₄	1	2	yes	—
535	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
536	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
537	C₂³×D₄	C₂²×D₄	1	2	yes	—
538	C₂³×D₄	C₂²×D₄	1	2	yes	—
539	C₂³×D₄	C₂²×D₄	1	2	yes	—
540	C₂³×D₄	C₂²×D₄	1	2	yes	—
541	C₂³×D₄	C₂²×D₄	1	2	yes	—
542	C₂³×D₄	C₂²×D₄	1	2	yes	—
543	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
544	C₂³×D₄	C₂×#41	1	2	yes	—
545	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
546	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
547	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
548	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
549	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
550	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
551	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
552	C₂⁴×C₄	C₂×#41	1	2	yes	—
553	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
554	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
555	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
556	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
557	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
558	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
559	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
560	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
561	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
562	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
563	C₂×AGL(1,ℤ/8)	#127	1	16	yes	—
564	C₂²×Q₁₆	#120	1	4	yes	—
565	C₂²×SD₁₆	#120	1	4	yes	—
566	C₂²×SD₁₆	#120	1	4	yes	—
567	C₂²×D₈	#120	1	4	yes	—
568	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
569	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
570	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
571	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
572	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
573	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
574	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
575	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
576	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
577	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
578	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
579	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
580	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
581	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
582	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
583	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
584	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
585	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
586	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
587	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
588	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
589	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
590	C₂²×M₁₆	C₂×#41	1	2	yes	—
591	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
592	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
593	C₂³×C₈	C₂²×D₄	1	2	yes	—
594	C₂³×C₈	C₂²×D₄	1	2	yes	—
595	#525	#121	1	8	yes	—
596	#525	#121	1	8	yes	—
597	C₄×#41	#120	1	16	yes	—
598	C₂×#117	C₂²×D₄	1	2	yes	—
599	C₂×#117	C₂²×D₄	1	2	yes	—
600	C₂×#117	C₂²×D₄	1	2	yes	—
601	C₂×#117	C₂²×D₄	1	2	yes	—
602	C₂×#117	C₂²×D₄	1	2	yes	—
603	C₂×#117	C₂²×D₄	1	2	yes	—
604	C₂×#117	C₂²×D₄	1	2	yes	—
605	C₂×#117	C₂²×D₄	1	2	yes	—
606	C₂×#117	C₂²×D₄	1	2	yes	—
607	C₂×#117	C₂²×D₄	1	2	yes	—
608	C₂×#117	C₂²×D₄	1	2	yes	—
609	C₂×#117	C₂²×D₄	1	2	yes	—
610	C₂×#117	C₂²×D₄	1	2	yes	—
611	C₂×#117	C₂×#41	1	2	yes	—
612	C₂×#117	H(5,𝔽₂)	1	2	yes	—
613	C₂×#117	H(5,𝔽₂)	1	2	yes	—
614	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
615	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
616	C₂²×C₄²	C₂²×D₄	1	2	yes	—
617	C₂²×C₄²	C₂²×D₄	1	2	yes	—
618	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
619	#419	#120	1	8	yes	—
620	#418	#120	1	8	yes	—
621	C₂⁵	#534	1	2	yes	—
622	C₂⁵	D₄²	1	1	yes	characteristic
623	C₂⁵	D₄²	1	1	yes	characteristic
624	C₂⁵	#546	1	2	yes	—
625	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
626	C₂×#41	C₂×#120	1	4	yes	—
627	C₂×#41	C₂×#120	1	4	yes	—
628	C₂×#41	C₂×#120	1	4	yes	—
629	C₂×#41	C₂×#120	1	4	yes	—
630	C₂×#41	C₂×#120	1	4	yes	—
631	C₂×#41	C₂×#120	1	4	yes	—
632	C₂×#41	C₂×#120	1	4	yes	—
633	C₂×#41	C₂×#121	1	4	yes	—
634	C₂×#41	C₂×#121	1	4	yes	—
635	C₂×#41	C₂×#121	1	4	yes	—
636	C₂×#41	C₂×#121	1	4	yes	—
637	C₂×#41	C₂×#127	1	4	yes	—
638	C₂×#41	#534	1	4	yes	—
639	C₂×#41	#534	1	4	yes	—
640	C₂×#41	#534	1	4	yes	—
641	C₂×#41	#534	1	4	yes	—
642	C₂×#41	#535	1	4	yes	—
643	C₂×#41	#535	1	4	yes	—
644	C₂×#41	D₄²	1	4	yes	—
645	C₂×#41	D₄²	1	4	yes	—
646	C₂×#41	D₄²	1	4	yes	—
647	C₂×#41	D₄²	1	4	yes	—
648	C₂×#41	D₄²	1	4	yes	—
649	C₂×#41	D₄²	1	4	yes	—
650	C₂×#41	D₄²	1	4	yes	—
651	C₂×#41	D₄²	1	4	yes	—
652	C₂×#41	D₄²	1	4	yes	—
653	C₂×#41	D₄²	1	4	yes	—
654	C₂×#41	#546	1	4	yes	—
655	C₂×#41	#546	1	4	yes	—
656	C₂×#41	#546	1	4	yes	—
657	C₂×#41	#546	1	4	yes	—
658	C₂²×Q₈	C₂×#120	1	2	yes	—
659	C₂²×Q₈	C₂×#120	1	2	yes	—
660	C₂²×Q₈	C₂×#120	1	2	yes	—
661	C₂²×Q₈	C₂×#120	1	2	yes	—
662	C₂²×Q₈	C₂×#120	1	2	yes	—
663	C₂²×Q₈	C₂×#120	1	2	yes	—
664	C₂²×Q₈	#534	1	2	yes	—
665	C₂²×Q₈	D₄²	1	2	yes	—
666	C₂²×Q₈	D₄²	1	2	yes	—
667	C₂²×Q₈	D₄²	1	2	yes	—
668	C₂²×Q₈	D₄²	1	2	yes	—
669	C₂²×Q₈	#546	1	2	yes	—
670	C₂²×Q₈	#546	1	2	yes	—
671	C₂²×D₄	C₂×#120	1	4	yes	—
672	C₂²×D₄	C₂×#120	1	2	yes	—
673	C₂²×D₄	C₂×#120	1	2	yes	—
674	C₂²×D₄	C₂×#120	1	2	yes	—
675	C₂²×D₄	C₂×#120	1	4	yes	—
676	C₂²×D₄	C₂×#120	1	4	yes	—
677	C₂²×D₄	C₂×#120	1	4	yes	—
678	C₂²×D₄	C₂×#120	1	2	yes	—
679	C₂²×D₄	C₂×#120	1	2	yes	—
680	C₂²×D₄	C₂×#120	1	2	yes	—
681	C₂²×D₄	C₂×#121	1	4	yes	—
682	C₂²×D₄	C₂×#121	1	4	yes	—
683	C₂²×D₄	C₂×#121	1	4	yes	—
684	C₂²×D₄	C₂×#127	1	4	yes	—
685	C₂²×D₄	#534	1	2	yes	—
686	C₂²×D₄	D₄²	1	2	yes	—
687	C₂²×D₄	D₄²	1	2	yes	—
688	C₂²×D₄	D₄²	1	2	yes	—
689	C₂²×D₄	D₄²	1	2	yes	—
690	C₂²×D₄	#546	1	2	yes	—
691	C₂²×D₄	#546	1	2	yes	—
692	C₂³×C₄	C₂×#120	1	2	yes	—
693	C₂³×C₄	C₂×#120	1	2	yes	—
694	C₂³×C₄	C₂×#121	1	2	yes	—
695	C₂³×C₄	C₂×#121	1	2	yes	—
696	C₂³×C₄	#534	1	2	yes	—
697	C₂³×C₄	D₄²	1	1	yes	characteristic
698	C₂³×C₄	D₄²	1	1	yes	characteristic
699	C₂³×C₄	D₄²	1	2	yes	—
700	C₂³×C₄	D₄²	1	2	yes	—
701	C₂³×C₄	#546	1	2	yes	—
702	C₂³×C₄	#546	1	2	yes	—
703	C₂³×C₄	#546	1	2	yes	—
704	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
705	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
706	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
707	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
708	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
709	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
710	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
711	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
712	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
713	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
714	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
715	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
716	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
717	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
719	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
720	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
721	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
722	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
723	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
724	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
725	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
726	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
727	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
728	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
729	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
730	C₂³×C₄	#585	1	1	yes	characteristic
731	C₂³×C₄	#585	1	1	yes	characteristic
732	C₂³×C₄	#585	1	1	yes	characteristic
733	C₂³×C₄	#585	1	1	yes	characteristic
734	AGL(1,ℤ/8)	#392	1	64	yes	—
735	C₂×M₁₆	C₂×#120	1	4	yes	—
736	C₂×M₁₆	C₂×#120	1	4	yes	—
737	C₂×M₁₆	C₂×#120	1	4	yes	—
738	C₂×M₁₆	C₂×#120	1	4	yes	—
739	C₂×M₁₆	C₂×#120	1	4	yes	—
740	C₂×M₁₆	C₂×#121	1	4	yes	—
741	C₂×M₁₆	C₂×#121	1	4	yes	—
742	C₂×M₁₆	C₂×#121	1	4	yes	—
743	C₂×M₁₆	C₂×#127	1	4	yes	—
744	C₂×M₁₆	D₄²	1	4	yes	—
745	C₂²×C₈	C₂×#120	1	4	yes	—
746	C₂²×C₈	D₄²	1	4	yes	—
747	#117	C₂×#120	1	4	yes	—
748	#117	C₂×#120	1	4	yes	—
749	#117	C₂×#121	1	4	yes	—
750	#117	#534	1	4	yes	—
751	#117	D₄²	1	4	yes	—
752	#117	#546	1	4	yes	—
753	C₂×C₄⋊C₄	D₄²	1	4	yes	—
754	C₂×C₄²	C₂×#120	1	4	yes	—
755	C₂×C₄²	D₄²	1	4	yes	—
756	C₂×C₄²	#546	1	4	yes	—
757	C₂⁴	#2410	1	2	yes	—
758	C₂⁴	#2410	1	2	yes	—
759	C₂⁴	C₂×#534	1	1	yes	characteristic
760	C₂⁴	C₂×D₄²	1	1	yes	characteristic
761	C₂⁴	C₂×#546	1	1	yes	characteristic
762	C₂⁴	#3484	1	1	yes	characteristic
763	C₂⁴	#3484	1	1	yes	characteristic
764	C₂⁴	#3484	1	1	yes	characteristic
765	C₂⁴	#3484	1	1	yes	characteristic
766	C₂⁴	#3484	1	1	yes	characteristic
767	C₂⁴	#3488	1	1	yes	characteristic
768	C₂⁴	#3488	1	1	yes	characteristic
769	C₂⁴	#3513	1	1	yes	characteristic
770	C₂⁴	#3532	1	1	yes	characteristic
771	C₂⁴	#3534	1	1	yes	characteristic
772	C₂⁴	#3537	1	1	yes	characteristic
773	C₂⁴	#3537	1	1	yes	characteristic
774	#41	C₂×#392	1	8	yes	—
775	#41	#2403	1	8	yes	—
776	#41	#2403	1	8	yes	—
777	#41	#2408	1	8	yes	—
778	#41	#2410	1	8	yes	—
779	#41	#2410	1	8	yes	—
780	#41	#2433	1	8	yes	—
781	#41	#2613	1	8	yes	—
782	C₂×Q₈	#2403	1	4	yes	—
783	C₂×Q₈	#2403	1	4	yes	—
784	C₂×Q₈	#2408	1	4	yes	—
785	C₂×Q₈	#2410	1	4	yes	—
786	C₂×Q₈	#2410	1	4	yes	—
787	C₂×Q₈	#2410	1	4	yes	—
788	C₂×Q₈	#2433	1	4	yes	—
789	C₂×Q₈	#2846	1	4	yes	—
790	C₂×D₄	C₂×#392	1	8	yes	—
791	C₂×D₄	#2403	1	4	yes	—
792	C₂×D₄	#2403	1	4	yes	—
793	C₂×D₄	#2408	1	4	yes	—
794	C₂×D₄	#2410	1	4	yes	—
795	C₂×D₄	#2410	1	4	yes	—
796	C₂×D₄	#2410	1	4	yes	—
797	C₂×D₄	#2433	1	4	yes	—
798	C₂×D₄	#2846	1	4	yes	—
799	C₂²×C₄	#2410	1	2	yes	—
800	C₂²×C₄	#2410	1	2	yes	—
801	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
802	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
803	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
804	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
805	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
806	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
807	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
808	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
809	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
810	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
811	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
812	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
813	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
814	C₂²×C₄	C₂²×#127	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	1	yes	characteristic
819	C₂²×C₄	C₂×#534	1	1	yes	characteristic
820	C₂²×C₄	C₂×#534	1	1	yes	characteristic
821	C₂²×C₄	C₂×#535	1	1	yes	characteristic
822	C₂²×C₄	C₂×#535	1	1	yes	characteristic
823	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
824	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
825	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
826	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
827	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
828	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
829	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
830	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
831	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
832	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
833	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
834	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
835	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
836	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
837	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
838	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
839	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
840	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
841	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
842	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
843	C₂²×C₄	C₂×#546	1	1	yes	characteristic
844	C₂²×C₄	C₂×#546	1	1	yes	characteristic
845	C₂²×C₄	C₂×#546	1	1	yes	characteristic
846	C₂²×C₄	C₂×#546	1	1	yes	characteristic
847	C₂²×C₄	C₂×#546	1	1	yes	characteristic
848	C₂²×C₄	C₂×#546	1	1	yes	characteristic
849	C₂²×C₄	C₂×#546	1	1	yes	characteristic
850	C₂²×C₄	C₂×#546	1	1	yes	characteristic
851	C₂²×C₄	C₂×#546	1	1	yes	characteristic
852	C₂²×C₄	D₄×#41	1	1	yes	characteristic
853	C₂²×C₄	D₄×#41	1	1	yes	characteristic
854	C₂²×C₄	D₄×#41	1	1	yes	characteristic
855	C₂²×C₄	D₄×#41	1	1	yes	characteristic
856	C₂²×C₄	#3481	1	1	yes	characteristic
857	C₂²×C₄	#3484	1	1	yes	characteristic
858	C₂²×C₄	#3484	1	1	yes	characteristic
859	C₂²×C₄	#3484	1	1	yes	characteristic
860	C₂²×C₄	#3484	1	1	yes	characteristic
861	C₂²×C₄	#3484	1	1	yes	characteristic
862	C₂²×C₄	#3484	1	1	yes	characteristic
863	C₂²×C₄	#3484	1	1	yes	characteristic
864	C₂²×C₄	#3484	1	1	yes	characteristic
865	C₂²×C₄	#3484	1	1	yes	characteristic
866	C₂²×C₄	#3484	1	1	yes	characteristic
867	C₂²×C₄	#3484	1	1	yes	characteristic
868	C₂²×C₄	#3484	1	1	yes	characteristic
869	C₂²×C₄	#3484	1	1	yes	characteristic
870	C₂²×C₄	#3484	1	1	yes	characteristic
871	C₂²×C₄	#3484	1	1	yes	characteristic
872	C₂²×C₄	#3484	1	1	yes	characteristic
873	C₂²×C₄	#3484	1	1	yes	characteristic
874	C₂²×C₄	#3484	1	1	yes	characteristic
875	C₂²×C₄	#3485	1	1	yes	characteristic
876	C₂²×C₄	#3485	1	1	yes	characteristic
877	C₂²×C₄	#3485	1	1	yes	characteristic
878	C₂²×C₄	#3485	1	1	yes	characteristic
879	C₂²×C₄	#3488	1	1	yes	characteristic
880	C₂²×C₄	#3488	1	1	yes	characteristic
881	C₂²×C₄	#3488	1	1	yes	characteristic
882	C₂²×C₄	#3488	1	1	yes	characteristic
883	C₂²×C₄	#3488	1	1	yes	characteristic
884	C₂²×C₄	#3488	1	1	yes	characteristic
885	C₂²×C₄	#3488	1	1	yes	characteristic
886	C₂²×C₄	#3488	1	1	yes	characteristic
887	C₂²×C₄	#3488	1	1	yes	characteristic
888	C₂²×C₄	#3488	1	1	yes	characteristic
889	C₂²×C₄	#3488	1	1	yes	characteristic
890	C₂²×C₄	#3496	1	1	yes	characteristic
891	C₂²×C₄	#3496	1	1	yes	characteristic
892	C₂²×C₄	#3496	1	1	yes	characteristic
893	C₂²×C₄	#3496	1	1	yes	characteristic
894	C₂²×C₄	#3496	1	1	yes	characteristic
895	C₂²×C₄	#3496	1	1	yes	characteristic
896	C₂²×C₄	#3496	1	1	yes	characteristic
897	C₂²×C₄	#3496	1	1	yes	characteristic
898	C₂²×C₄	#3496	1	1	yes	characteristic
899	C₂²×C₄	#3496	1	1	yes	characteristic
900	C₂²×C₄	#3496	1	1	yes	characteristic
901	C₂²×C₄	#3496	1	1	yes	characteristic
902	C₂²×C₄	#3496	1	1	yes	characteristic
903	C₂²×C₄	#3496	1	1	yes	characteristic
904	C₂²×C₄	#3496	1	1	yes	characteristic
905	C₂²×C₄	#3498	1	1	yes	characteristic
906	C₂²×C₄	#3498	1	1	yes	characteristic
907	C₂²×C₄	#3498	1	1	yes	characteristic
908	C₂²×C₄	#3498	1	1	yes	characteristic
909	C₂²×C₄	#3498	1	1	yes	characteristic
910	C₂²×C₄	#3500	1	1	yes	characteristic
911	C₂²×C₄	#3500	1	1	yes	characteristic
912	C₂²×C₄	#3513	1	1	yes	characteristic
913	C₂²×C₄	#3513	1	1	yes	characteristic
914	C₂²×C₄	#3514	1	1	yes	characteristic
915	C₂²×C₄	#3519	1	1	yes	characteristic
916	C₂²×C₄	#3519	1	1	yes	characteristic
917	C₂²×C₄	#3519	1	1	yes	characteristic
918	C₂²×C₄	#3519	1	1	yes	characteristic
919	C₂²×C₄	#3519	1	1	yes	characteristic
920	C₂²×C₄	#3519	1	1	yes	characteristic
921	C₂²×C₄	#3532	1	1	yes	characteristic
922	C₂²×C₄	#3534	1	1	yes	characteristic
923	C₂²×C₄	#3534	1	1	yes	characteristic
924	C₂²×C₄	#3534	1	1	yes	characteristic
925	C₂²×C₄	#3534	1	1	yes	characteristic
926	C₂²×C₄	#3534	1	1	yes	characteristic
927	C₂²×C₄	#3534	1	1	yes	characteristic
928	C₂²×C₄	#3534	1	1	yes	characteristic
929	C₂²×C₄	#3537	1	1	yes	characteristic
930	C₂²×C₄	#3537	1	1	yes	characteristic
931	C₂²×C₄	#3537	1	1	yes	characteristic
932	C₂²×C₄	#3537	1	1	yes	characteristic
933	C₂²×C₄	#3537	1	1	yes	characteristic
934	C₂²×C₄	#3537	1	1	yes	characteristic
935	C₂²×C₄	#3537	1	1	yes	characteristic
936	C₂²×C₄	#3542	1	1	yes	characteristic
937	C₂²×C₄	#3543	1	1	yes	characteristic
938	C₂²×C₄	#3558	1	1	yes	characteristic
939	C₂²×C₄	#3558	1	1	yes	characteristic
940	C₂²×C₄	#3558	1	1	yes	characteristic
941	M₁₆	C₂×#392	1	8	yes	—
942	C₄²	#2410	1	8	yes	—
943	C₂³	C₂×#2410	1	1	yes	characteristic
944	C₂³	#34980	1	1	yes	characteristic
945	C₂³	#34980	1	1	yes	characteristic
946	C₂³	#35680	1	1	yes	characteristic
947	C₂³	#35728	1	1	yes	characteristic
948	C₂³	#35761	1	1	yes	characteristic
949	C₂³	#35921	1	1	yes	characteristic
950	C₂³	D₄×#120	1	1	yes	characteristic
951	C₂³	D₄×#120	1	1	yes	characteristic
952	C₂³	#36152	1	1	yes	characteristic
953	C₂³	#36152	1	1	yes	characteristic
954	C₂³	#36212	1	1	yes	characteristic
955	C₂³	#36214	1	1	yes	characteristic
956	C₂³	#37672	1	1	yes	characteristic
957	C₂³	#37672	1	1	yes	characteristic
958	C₂³	#37672	1	1	yes	characteristic
959	C₂³	#38020	1	1	yes	characteristic
960	C₂³	#38076	1	1	yes	characteristic
961	C₂³	#38076	1	1	yes	characteristic
962	C₂³	#40486	1	1	yes	characteristic
963	C₂³	#40490	1	1	yes	characteristic
964	C₂³	#40584	1	1	yes	characteristic
965	C₂³	#40594	1	1	yes	characteristic
966	C₂³	#42998	1	1	yes	characteristic
967	C₂³	#43001	1	1	yes	characteristic
968	C₂³	#43001	1	1	yes	characteristic
969	C₂³	#43023	1	1	yes	characteristic
970	C₂³	#43098	1	1	yes	characteristic
971	C₂³	#43102	1	1	yes	characteristic
972	C₂³	#43886	1	1	yes	characteristic
973	C₂³	#43889	1	1	yes	characteristic
974	C₂³	#58990	1	1	yes	characteristic
975	C₂³	#58994	1	1	yes	characteristic
976	C₂³	#58997	1	1	yes	characteristic
977	C₂³	#58997	1	1	yes	characteristic
978	Q₈	#14715	1	8	yes	—
979	D₄	#14715	1	8	yes	—
980	C₂×C₄	C₂²×#392	1	1	yes	characteristic
981	C₂×C₄	C₂×#2613	1	1	yes	characteristic
982	C₂×C₄	C₂×#2403	1	1	yes	characteristic
983	C₂×C₄	C₂×#2403	1	1	yes	characteristic
984	C₂×C₄	C₂×#2403	1	1	yes	characteristic
985	C₂×C₄	C₂×#2403	1	1	yes	characteristic
986	C₂×C₄	C₂×#2410	1	1	yes	characteristic
987	C₂×C₄	C₂×#2410	1	1	yes	characteristic
988	C₂×C₄	C₂×#2410	1	1	yes	characteristic
989	C₂×C₄	C₂×#2410	1	1	yes	characteristic
990	C₂×C₄	C₂×#2410	1	1	yes	characteristic
991	C₂×C₄	C₂×#2410	1	1	yes	characteristic
992	C₂×C₄	C₂×#2408	1	1	yes	characteristic
993	C₂×C₄	C₂×#2408	1	1	yes	characteristic
994	C₂×C₄	C₂×#2433	1	1	yes	characteristic
995	C₂×C₄	C₂×#2433	1	1	yes	characteristic
996	C₂×C₄	#34980	1	1	yes	characteristic
997	C₂×C₄	#35347	1	1	yes	characteristic
998	C₂×C₄	#35347	1	1	yes	characteristic
999	C₂×C₄	#35347	1	1	yes	characteristic
1000	C₂×C₄	#35347	1	1	yes	characteristic
1001	C₂×C₄	#35513	1	1	yes	characteristic
1002	C₂×C₄	#35513	1	1	yes	characteristic
1003	C₂×C₄	#35680	1	1	yes	characteristic
1004	C₂×C₄	#35680	1	1	yes	characteristic
1005	C₂×C₄	#35680	1	1	yes	characteristic
1006	C₂×C₄	#35680	1	1	yes	characteristic
1007	C₂×C₄	#35680	1	1	yes	characteristic
1008	C₂×C₄	#35680	1	1	yes	characteristic
1009	C₂×C₄	#35680	1	1	yes	characteristic
1010	C₂×C₄	#35691	1	1	yes	characteristic
1011	C₂×C₄	#35691	1	1	yes	characteristic
1012	C₂×C₄	#35691	1	1	yes	characteristic
1013	C₂×C₄	#35750	1	1	yes	characteristic
1014	C₂×C₄	#35750	1	1	yes	characteristic
1015	C₂×C₄	#35750	1	1	yes	characteristic
1016	C₂×C₄	#35750	1	1	yes	characteristic
1017	C₂×C₄	#35761	1	1	yes	characteristic
1018	C₂×C₄	#35921	1	1	yes	characteristic
1019	C₂×C₄	D₄×#120	1	1	yes	characteristic
1020	C₂×C₄	D₄×#120	1	1	yes	characteristic
1021	C₂×C₄	D₄×#120	1	1	yes	characteristic
1022	C₂×C₄	D₄×#120	1	1	yes	characteristic
1023	C₂×C₄	D₄×#121	1	1	yes	characteristic
1024	C₂×C₄	D₄×#121	1	1	yes	characteristic
1025	C₂×C₄	D₄×#121	1	1	yes	characteristic
1026	C₂×C₄	D₄×#121	1	1	yes	characteristic
1027	C₂×C₄	D₄×#121	1	1	yes	characteristic
1028	C₂×C₄	D₄×#121	1	1	yes	characteristic
1029	C₂×C₄	D₄×#127	1	1	yes	characteristic
1030	C₂×C₄	#36152	1	1	yes	characteristic
1031	C₂×C₄	#36152	1	1	yes	characteristic
1032	C₂×C₄	#36212	1	1	yes	characteristic
1033	C₂×C₄	#36214	1	1	yes	characteristic
1034	C₂×C₄	#36214	1	1	yes	characteristic
1035	C₂×C₄	#36258	1	1	yes	characteristic
1036	C₂×C₄	#36260	1	1	yes	characteristic
1037	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1038	C₂×C₄	#37646	1	1	yes	characteristic
1039	C₂×C₄	#37646	1	1	yes	characteristic
1040	C₂×C₄	#37650	1	1	yes	characteristic
1041	C₂×C₄	#37672	1	1	yes	characteristic
1042	C₂×C₄	#37672	1	1	yes	characteristic
1043	C₂×C₄	#37672	1	1	yes	characteristic
1044	C₂×C₄	#37672	1	1	yes	characteristic
1045	C₂×C₄	#37672	1	1	yes	characteristic
1046	C₂×C₄	#37677	1	1	yes	characteristic
1047	C₂×C₄	#38020	1	1	yes	characteristic
1048	C₂×C₄	#38026	1	1	yes	characteristic
1049	C₂×C₄	#38076	1	1	yes	characteristic
1050	C₂×C₄	#38076	1	1	yes	characteristic
1051	C₂×C₄	#38080	1	1	yes	characteristic
1052	C₂×C₄	#38949	1	1	yes	characteristic
1053	C₂×C₄	#39358	1	1	yes	characteristic
1054	C₂×C₄	#39358	1	1	yes	characteristic
1055	C₂×C₄	#39358	1	1	yes	characteristic
1056	C₂×C₄	#40486	1	1	yes	characteristic
1057	C₂×C₄	#40486	1	1	yes	characteristic
1058	C₂×C₄	#40486	1	1	yes	characteristic
1059	C₂×C₄	#40494	1	1	yes	characteristic
1060	C₂×C₄	#40584	1	1	yes	characteristic
1061	C₂×C₄	#40585	1	1	yes	characteristic
1062	C₂×C₄	#40585	1	1	yes	characteristic
1063	C₂×C₄	#40594	1	1	yes	characteristic
1064	C₂×C₄	#42996	1	1	yes	characteristic
1065	C₂×C₄	#42996	1	1	yes	characteristic
1066	C₂×C₄	#42998	1	1	yes	characteristic
1067	C₂×C₄	#43001	1	1	yes	characteristic
1068	C₂×C₄	#43001	1	1	yes	characteristic
1069	C₂×C₄	#43001	1	1	yes	characteristic
1070	C₂×C₄	#43001	1	1	yes	characteristic
1071	C₂×C₄	#43019	1	1	yes	characteristic
1072	C₂×C₄	#43019	1	1	yes	characteristic
1073	C₂×C₄	#43023	1	1	yes	characteristic
1074	C₂×C₄	#43023	1	1	yes	characteristic
1075	C₂×C₄	#43023	1	1	yes	characteristic
1076	C₂×C₄	#43098	1	1	yes	characteristic
1077	C₂×C₄	#43102	1	1	yes	characteristic
1078	C₂×C₄	#43886	1	1	yes	characteristic
1079	C₂×C₄	#43889	1	1	yes	characteristic
1080	C₂×C₄	#58990	1	1	yes	characteristic
1081	C₂×C₄	#58994	1	1	yes	characteristic
1082	C₂×C₄	#58994	1	1	yes	characteristic
1083	C₂×C₄	#58994	1	1	yes	characteristic
1084	C₂×C₄	#58997	1	1	yes	characteristic
1085	C₂×C₄	#58997	1	1	yes	characteristic
1086	C₂×C₄	#58997	1	1	yes	characteristic
1087	C₂×C₄	#58997	1	1	yes	characteristic
1088	C₂×C₄	#59089	1	1	yes	characteristic
1089	C₂×C₄	#59089	1	1	yes	characteristic
1090	C₂×C₄	#59095	1	1	yes	characteristic
1091	C₂×C₄	#59095	1	1	yes	characteristic
1092	C₂×C₄	#59123	1	1	yes	characteristic
1093	C₂×C₄	#59123	1	1	yes	characteristic
1094	C₂×C₄	#59123	1	1	yes	characteristic
1095	C₂×C₄	#59123	1	1	yes	characteristic
1096	C₂×C₄	#59126	1	1	yes	characteristic
1097	C₂×C₄	#59131	1	1	yes	characteristic
1098	C₂×C₄	#59408	1	1	yes	characteristic
1099	C₂×C₄	#59808	1	1	yes	characteristic
1100	C₂²	#612433	1	1	yes	characteristic
1101	C₂²	#647714	1	1	yes	characteristic
1102	C₂²	#649101	1	1	yes	characteristic
1103	C₂²	#687584	1	1	yes	characteristic
1104	C₂²	#687655	1	1	yes	characteristic
1105	C₂²	#719640	1	1	yes	characteristic
1106	C₂²	#719692	1	1	yes	characteristic
1107	C₂²	#772778	1	1	yes	characteristic
1108	C₂²	#772779	1	1	yes	characteristic
1109	C₂²	#773154	1	1	yes	characteristic
1110	C₂²	#773155	1	1	yes	characteristic
1111	C₂²	#773780	1	1	yes	characteristic
1112	C₂²	#774390	1	1	yes	characteristic
1113	C₂²	#1393546	1	1	yes	characteristic
1114	C₂²	#4306523	1	1	yes	characteristic
1115	C₄	C₂×#14715	1	1	yes	characteristic
1116	C₄	#647714	1	1	yes	characteristic
1117	C₄	#647723	1	1	yes	characteristic
1118	C₄	#649101	1	1	yes	characteristic
1119	C₄	#649106	1	1	yes	characteristic
1120	C₄	#687584	1	1	yes	characteristic
1121	C₄	#687655	1	1	yes	characteristic
1122	C₄	#772778	1	1	yes	characteristic
1123	C₄	#772779	1	1	yes	characteristic
1124	C₄	#773154	1	1	yes	characteristic
1125	C₄	#773155	1	1	yes	characteristic
1126	C₄	#773781	1	1	yes	characteristic
1127	C₄	#774391	1	1	yes	characteristic
1128	C₄	#1393170	1	1	yes	characteristic
1129	C₄	D₄×#392	1	1	yes	characteristic
1130	C₄	#4930494	1	1	yes	characteristic
1131	C₂	#72215995	1	2	yes	—
1132	C₂	#72251013	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#772778
commutator, Frattini, cosocle	C₂⁴×C₄	C₂⁵
LCS	G ▷ C₂⁴×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. #72317330	C₂	semidirect
2. #72317322	C₂	semidirect
3. #72317314	C₂	semidirect
4. #72317311	C₂	semidirect
5. #72317308	C₂	semidirect
6. #72317306	C₂	semidirect
7. #72317304	C₂	semidirect
8. #72317302	C₂	semidirect
9. #72317300	C₂	semidirect
10. #72316854	C₂	semidirect
11. #72256499	C₂	semidirect
12. #72256495	C₂	semidirect
13. #72256476	C₂	semidirect
14. #72252149	C₂	semidirect
15. #72252145	C₂	semidirect
16. #72252143	C₂	semidirect
17. C₂×#359681	C₂	semidirect
18. C₂×#394367	C₂	semidirect
19. C₂×#368888	C₂	semidirect
20. #72251260	C₂	semidirect
21. #72251207	C₂	semidirect
22. #72251201	C₂	semidirect
23. #72250803	C₂	semidirect
24. #72250500	C₂	semidirect
25. C₂×#6437793	C₂	semidirect
26. #72237512	C₂	semidirect
27. #72237191	C₂	semidirect
28. #72237174	C₂	semidirect
29. C₂×#10576108	C₂	semidirect
30. C₂×#394102	C₂	semidirect
31. C₂×#394108	C₂	semidirect
37. #10574956	C₂²	semidirect
43. C₂²×#3068	C₂²	semidirect
46. C₂×#60367	C₂²	semidirect
47. C₂×#60387	C₂²	semidirect
49. C₂×#60359	C₂²	semidirect
51. C₂²×#3003	C₂²	semidirect
54. C₂×#60064	C₂²	semidirect
55. #10574061	C₂²	semidirect
56. C₂×#60093	C₂²	semidirect
57. #7625442	C₂²	semidirect
58. #6431944	C₂²	semidirect
59. C₂×#23531	C₂²	semidirect
60. C₂×#23531	C₂²	semidirect
61. C₂×#23521	C₂²	semidirect
62. C₂×#23443	C₂²	semidirect
63. C₂×#23443	C₂²	semidirect
64. C₂×#23439	C₂²	semidirect
65. C₂×#23439	C₂²	semidirect
66. #6431766	C₂²	semidirect
67. C₂×#23414	C₂²	semidirect
69. C₂×#23412	C₂²	semidirect
70. C₂²×#2008	C₂²	semidirect
71. #6431733	C₂²	semidirect
72. C₂×#23407	C₂²	semidirect
73. #6431722	C₂²	semidirect
74. C₂×#23400	C₂²	semidirect
75. #6371536	C₂²	semidirect
77. C₂×#21005	C₂²	semidirect
78. C₂×#21000	C₂²	semidirect
79. C₂×#20998	C₂²	semidirect
80. C₂×#20998	C₂²	semidirect
81. C₂²×#1904	C₂²	semidirect
82. C₂×#20995	C₂²	semidirect
83. C₂×#20989	C₂²	semidirect
86. C₂×#20945	C₂²	semidirect
87. C₂×#20945	C₂²	semidirect
88. #6371397	C₂²	semidirect
89. #6371331	C₂²	semidirect
90. C₂×#20851	C₂²	semidirect
91. C₂²×#1795	C₂²	semidirect
92. C₂×#20620	C₂²	semidirect
93. C₂×#20616	C₂²	semidirect
94. C₂×#20616	C₂²	semidirect
95. C₂×#20605	C₂²	semidirect
96. C₂×#20598	C₂²	semidirect
97. C₂²×#1783	C₂²	semidirect
98. #6369745	C₂²	semidirect
99. C₂×#20338	C₂²	semidirect
100. #517415	C₂²	semidirect
101. #358489	C₂²	semidirect
102. C₂×#11247	C₂²	semidirect
103. C₂×#11157	C₂²	semidirect
104. #357839	C₂²	semidirect
105. C₂×#11138	C₂²	semidirect
106. C₂×#11118	C₂²	semidirect
107. C₂×#11116	C₂²	semidirect
108. #357750	C₂²	semidirect
109. C₂×#11058	C₂²	semidirect
110. #357651	C₂²	semidirect
111. C₂×#11071	C₂²	semidirect
112. C₂×#11034	C₂²	semidirect
113. C₂×#11033	C₂²	semidirect
114. C₂×#11032	C₂²	semidirect
115. C₂×#11032	C₂²	semidirect
116. C₂×#11032	C₂²	semidirect
117. #357586	C₂²	semidirect
118. #357586	C₂²	semidirect
119. C₂×#11030	C₂²	semidirect
120. C₂×#11030	C₂²	semidirect
121. #357581	C₂²	semidirect
122. #357575	C₂²	semidirect
123. #357571	C₂²	semidirect
124. #357571	C₂²	semidirect
125. #357571	C₂²	semidirect
126. #357571	C₂²	semidirect
127. C₂×#11014	C₂²	semidirect
128. C₂×#11012	C₂²	semidirect
129. C₂×#11012	C₂²	semidirect
130. C₂×#11004	C₂²	semidirect
131. C₂×#11003	C₂²	semidirect
132. C₂×#11000	C₂²	semidirect
133. C₂×#11000	C₂²	semidirect
134. #357548	C₂²	semidirect
135. #357548	C₂²	semidirect
136. #357548	C₂²	semidirect
137. #357548	C₂²	semidirect
141. C₂×#10994	C₂²	semidirect
142. C₂×#10994	C₂²	semidirect
143. C₂×#10994	C₂²	semidirect
144. C₂×#10994	C₂²	semidirect
145. C₂×#10994	C₂²	semidirect
146. C₂×#10993	C₂²	semidirect
147. C₂×#10993	C₂²	semidirect
148. C₂×#10989	C₂²	semidirect
149. C₂×#10989	C₂²	semidirect
150. C₂×#10987	C₂²	semidirect
151. #357470	C₂²	semidirect
152. #357452	C₂²	semidirect
153. #357452	C₂²	semidirect
154. C₂×#10955	C₂²	semidirect
155. C₂×#10905	C₂²	semidirect
156. C₂×#10787	C₂²	semidirect
157. C₂×#10785	C₂²	semidirect
158. C₂×#10740	C₂²	semidirect
159. C₂×#10740	C₂²	semidirect
160. #353416	C₂²	semidirect
161. #353397	C₂²	semidirect
162. C₂×#10794	C₂²	semidirect
163. C₂×#10792	C₂²	semidirect
164. C₂×#10778	C₂²	semidirect
165. C₂×#10778	C₂²	semidirect
166. #353362	C₂²	semidirect
167. #123991	C₂²	semidirect
168. #123984	C₂²	semidirect
169. #123912	C₂²	semidirect
170. #123910	C₂²	semidirect
171. #123628	C₂²	semidirect
172. #123623	C₂²	semidirect
173. #123619	C₂²	semidirect
174. #123618	C₂²	semidirect
175. #123611	C₂²	semidirect
176. #123611	C₂²	semidirect
177. #123607	C₂²	semidirect
178. #123604	C₂²	semidirect
179. #123602	C₂²	semidirect
180. #123563	C₂²	semidirect
181. #123560	C₂²	semidirect
182. #123547	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123532	C₂²	semidirect
185. #123505	C₂²	semidirect
186. #123505	C₂²	semidirect
191. C₂²×#577	D₄	semidirect
192. C₂²×#576	D₄	semidirect
199. C₂³×AGL(1,ℤ/8)	D₄	semidirect
212. #62811	D₄	semidirect
227. C₂²×#472	D₄	semidirect
228. C₂²×#471	D₄	semidirect
229. C₂×#3040	D₄	semidirect
230. C₂×#3038	D₄	semidirect
231. #60369	D₄	semidirect
232. C₂×#3005	D₄	semidirect
233. C₂×#3005	D₄	semidirect
234. C₂×#3004	D₄	semidirect
235. C₂×#3003	D₄	semidirect
236. #60168	D₄	semidirect
310. #21005	D₄	semidirect
311. C₂×#1883	D₄	semidirect
358. #10994	D₄	semidirect
359. #10994	D₄	semidirect
385. C₂²×#137	C₂×D₄	semidirect
402. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
406. C₂³×SD₁₆	C₂×D₄	semidirect
408. C₂³×D₈	C₂×D₄	semidirect
409. C₂×#568	C₂×D₄	semidirect
411. C₂²×#131	C₂×D₄	semidirect
439. C₂×#520	C₂×D₄	semidirect
452. C₂²×#108	C₂×D₄	semidirect
456. C₂²×#104	C₂×D₄	semidirect
461. #2896	C₂×D₄	semidirect
470. C₂×#418	C₂×D₄	semidirect
471. C₂×#418	C₂×D₄	semidirect
472. C₂²×#101	C₂×D₄	semidirect
473. C₂²×#100	C₂×D₄	semidirect
474. C₂²×#100	C₂×D₄	semidirect
475. C₂²×#100	C₂×D₄	semidirect
482. C₂×#390	C₂×D₄	semidirect
485. #1742	C₂×D₄	semidirect
486. C₂×#343	C₂×D₄	semidirect
487. #1738	C₂×D₄	semidirect
489. C₂×#339	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72317330	2
#72317322	2
#72317314	2
#72317311	2
#72317308	2
#72317306	2
#72317304	2
#72317302	2
#72317300	2
#72316854	2
#72256499	2
#72256495	2
#72256476	2
#72252149	2
#72252145	2
#72252143	2
C₂×#359681	2
C₂×#394367	2
C₂×#368888	2
#72251260	2
#72251207	2
#72251201	2
#72250803	2
#72250500	2
C₂×#6437793	2
#72237512	2
#72237191	2
#72237174	2
C₂×#10576108	2
C₂×#394102	2
C₂×#394108	2