Subgroups — #72252152

Order 2048.

At least 17499 conjugacy classes of subgroups; only the 2196 normal subgroups are shown.

The subgroup lattice has 1153 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72252151	C₂	1	1	yes	maximal, characteristic, complemented
2	#72252150	C₂	1	1	yes	maximal, characteristic, complemented
3	#72252149	C₂	1	1	yes	maximal, characteristic, complemented
4	#72252148	C₂	1	1	yes	maximal, characteristic, complemented
5	#72252147	C₂	1	1	yes	maximal, characteristic, complemented
6	#72252146	C₂	1	1	yes	maximal, characteristic, complemented
7	#72252145	C₂	1	1	yes	maximal, characteristic, complemented
8	#72252144	C₂	1	1	yes	maximal, characteristic, complemented
9	#72252143	C₂	1	1	yes	maximal, characteristic, complemented
10	#72252142	C₂	1	1	yes	maximal, characteristic, complemented
11	#72252141	C₂	1	1	yes	maximal, characteristic, complemented
12	#72252140	C₂	1	1	yes	maximal, characteristic, complemented
13	#72252139	C₂	1	1	yes	maximal, characteristic, complemented
14	#72252138	C₂	1	1	yes	maximal, characteristic, complemented
15	#72252110	C₂	1	1	yes	maximal, characteristic, complemented
16	#72252105	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#359681	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#364625	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#394131	C₂	1	1	yes	maximal, characteristic, complemented
20	#72251265	C₂	1	1	yes	maximal, characteristic, complemented
21	#72251128	C₂	1	1	yes	maximal, characteristic, complemented
22	#72250500	C₂	1	1	yes	maximal, characteristic, complemented
23	#72239651	C₂	1	1	yes	maximal, characteristic, complemented
24	#72238744	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#6431743	C₂	1	1	yes	maximal, characteristic, complemented
26	#72237505	C₂	1	1	yes	maximal, characteristic, complemented
27	#72236744	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#6437475	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#10576108	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#393975	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#394102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#63090	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#3585	C₂²	1	1	yes	characteristic
34	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂×#62811	C₂²	1	1	yes	characteristic
36	C₂×#62811	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#3484	C₂²	1	1	yes	characteristic, complemented
38	C₂×#60644	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60426	C₂²	1	1	yes	characteristic
40	C₂×#60423	C₂²	1	1	yes	characteristic, complemented
41	C₂×#60454	C₂²	1	1	yes	characteristic, complemented
42	C₂×#60444	C₂²	1	1	yes	characteristic, complemented
43	#10574839	C₂²	1	1	yes	characteristic, complemented
44	C₂×#60369	C₂²	1	1	yes	characteristic
45	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
46	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
47	C₂×#60359	C₂²	1	1	yes	characteristic
48	C₂²×#3021	C₂²	1	1	yes	characteristic
49	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
51	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
53	C₂×#60141	C₂²	1	1	yes	characteristic, complemented
54	C₂×#60168	C₂²	1	1	yes	characteristic
55	C₂×#60064	C₂²	1	1	yes	characteristic, complemented
56	C₂×#60093	C₂²	1	1	yes	characteristic, complemented
57	C₂×#60093	C₂²	1	1	yes	characteristic, complemented
58	C₂×#35222	C₂²	1	1	yes	characteristic, complemented
59	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
60	#6431784	C₂²	1	1	yes	characteristic, complemented
61	C₂×#23439	C₂²	1	1	yes	characteristic, complemented
62	C₂×#23439	C₂²	1	1	yes	characteristic, complemented
63	#6431764	C₂²	1	1	yes	characteristic, complemented
64	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
65	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
66	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
67	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#2010	C₂²	1	1	yes	characteristic
69	C₂²×#2010	C₂²	1	1	yes	characteristic
70	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
72	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
73	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
74	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
75	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
76	#6431733	C₂²	1	1	yes	characteristic, complemented
77	C₂×#23407	C₂²	1	1	yes	characteristic, complemented
78	C₂×#23407	C₂²	1	1	yes	characteristic, complemented
79	#6431722	C₂²	1	1	yes	characteristic, complemented
80	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
81	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
82	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
83	C₂×#23402	C₂²	1	1	yes	characteristic, complemented
84	C₂×#23402	C₂²	1	1	yes	characteristic, complemented
85	C₂²×#1911	C₂²	1	1	yes	characteristic, complemented
86	#6371536	C₂²	1	1	yes	characteristic, complemented
87	C₂×#21005	C₂²	1	1	yes	characteristic
88	C₂×#21005	C₂²	1	1	yes	characteristic
89	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
90	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
91	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#1904	C₂²	1	1	yes	characteristic, complemented
93	C₂×#20995	C₂²	1	1	yes	characteristic, complemented
94	C₂×#20989	C₂²	1	1	yes	characteristic, complemented
95	C₂×#20945	C₂²	1	1	yes	characteristic
96	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
97	#6371397	C₂²	1	1	yes	characteristic, complemented
98	#6371397	C₂²	1	1	yes	characteristic, complemented
99	C₂×#20902	C₂²	1	1	yes	characteristic, complemented
100	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
101	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
102	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
103	#6370746	C₂²	1	1	yes	characteristic, complemented
104	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
105	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
106	#6370715	C₂²	1	1	yes	characteristic, complemented
107	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
108	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
109	C₂×#20338	C₂²	1	1	yes	characteristic, complemented
110	C₂×#11141	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11115	C₂²	1	1	yes	characteristic, complemented
112	#357750	C₂²	1	1	yes	characteristic, complemented
113	#357746	C₂²	1	1	yes	characteristic, complemented
114	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
116	#357591	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
118	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
120	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
121	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
122	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
123	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
124	#357581	C₂²	1	1	yes	characteristic, complemented
125	#357581	C₂²	1	1	yes	characteristic, complemented
126	#357581	C₂²	1	1	yes	characteristic, complemented
127	#357581	C₂²	1	1	yes	characteristic, complemented
128	#357575	C₂²	1	1	yes	characteristic, complemented
129	#357571	C₂²	1	1	yes	characteristic, complemented
130	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
131	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
132	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
133	#357561	C₂²	1	1	yes	characteristic, complemented
134	#357561	C₂²	1	1	yes	characteristic, complemented
135	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
136	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
137	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
138	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
139	#357548	C₂²	1	1	yes	characteristic, complemented
140	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
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×#10993	C₂²	1	1	yes	characteristic, complemented
145	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
146	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
147	#357529	C₂²	1	1	yes	characteristic, complemented
148	#357493	C₂²	1	1	yes	characteristic, complemented
149	C₂×#11006	C₂²	1	1	yes	characteristic, complemented
150	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
151	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
152	#357475	C₂²	1	1	yes	characteristic, complemented
153	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10955	C₂²	1	1	yes	characteristic, complemented
155	C₂×#10955	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10787	C₂²	1	1	yes	characteristic, complemented
157	#353468	C₂²	1	1	yes	characteristic, complemented
158	C₂×#10785	C₂²	1	1	yes	characteristic, complemented
159	C₂×#10740	C₂²	1	1	yes	characteristic, complemented
160	#353416	C₂²	1	1	yes	characteristic, complemented
161	#353403	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	#353352	C₂²	1	1	yes	characteristic, complemented
167	#123999	C₂²	1	1	yes	characteristic, complemented
168	#123976	C₂²	1	1	yes	characteristic, complemented
169	#123912	C₂²	1	1	yes	characteristic, complemented
170	#123910	C₂²	1	1	yes	characteristic, complemented
171	#123638	C₂²	1	1	yes	characteristic, complemented
172	#123619	C₂²	1	1	yes	characteristic, complemented
173	#123619	C₂²	1	1	yes	characteristic, complemented
174	#123618	C₂²	1	1	yes	characteristic, complemented
175	#123609	C₂²	1	1	yes	characteristic, complemented
176	#123607	C₂²	1	1	yes	characteristic, complemented
177	#123604	C₂²	1	1	yes	characteristic, complemented
178	#123602	C₂²	1	1	yes	characteristic, complemented
179	#123600	C₂²	1	1	yes	characteristic, complemented
180	#123563	C₂²	1	1	yes	characteristic, complemented
181	#123560	C₂²	1	1	yes	characteristic, complemented
182	#123554	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	#123501	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
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	C₂²×#577	D₄	1	4	yes	complemented
193	C₂²×#576	D₄	1	4	yes	complemented
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	C₂²×#575	C₂³	1	1	yes	characteristic
200	C₂²×#575	C₂³	1	1	yes	characteristic
201	C₂²×#575	C₂³	1	1	yes	characteristic
202	C₂³×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
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	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
209	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
210	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
211	C₂²×#568	C₂³	1	1	yes	characteristic
212	C₂²×#568	C₂³	1	1	yes	characteristic
213	C₂²×#568	C₂³	1	1	yes	characteristic
214	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
215	#62811	D₄	1	8	yes	complemented
216	C₂×#3449	C₂³	1	1	yes	characteristic
217	C₂×#3449	C₂³	1	1	yes	characteristic
218	C₂×#3449	C₂³	1	1	yes	characteristic
219	C₂×#3449	C₂³	1	1	yes	characteristic
220	C₂×#3449	C₂³	1	1	yes	characteristic
221	C₂²×#535	C₂³	1	1	yes	characteristic
222	C₂²×#535	C₂³	1	1	yes	characteristic
223	C₂²×#535	C₂³	1	1	yes	characteristic
224	C₂²×#535	C₂³	1	1	yes	characteristic
225	C₂²×#525	C₂³	1	1	yes	characteristic
226	C₂²×#525	C₂³	1	1	yes	characteristic
227	C₂²×#525	C₂³	1	1	yes	characteristic
228	C₂²×#525	C₂³	1	1	yes	characteristic
229	C₂²×#525	C₂³	1	1	yes	characteristic
230	C₂×#3428	C₂³	1	1	yes	characteristic
231	C₂×#3428	C₂³	1	1	yes	characteristic
232	C₂²×#518	C₂³	1	1	yes	characteristic
233	C₂×#3040	D₄	1	4	yes	complemented
234	C₂×#3038	D₄	1	4	yes	complemented
235	C₂²×#454	D₄	1	4	yes	complemented
236	C₂²×#453	D₄	1	4	yes	complemented
237	#60369	D₄	1	8	yes	complemented
238	C₂×#3005	D₄	1	2	yes	complemented
239	C₂×#3005	D₄	1	2	yes	complemented
240	C₂×#3004	D₄	1	2	yes	complemented
241	C₂×#3003	D₄	1	2	yes	complemented
242	#60168	D₄	1	8	yes	complemented
243	C₂×#2911	C₂³	1	1	yes	characteristic
244	C₂×#2905	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	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	C₂²×#421	C₂³	1	1	yes	characteristic
261	C₂²×#421	C₂³	1	1	yes	characteristic
262	C₂²×#421	C₂³	1	1	yes	characteristic
263	C₂²×#421	C₂³	1	1	yes	characteristic
264	C₂²×#421	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	C₂×#2896	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×#413	C₂³	1	1	yes	characteristic
286	C₂²×#413	C₂³	1	1	yes	characteristic
287	C₂²×#413	C₂³	1	1	yes	characteristic
288	C₂²×#413	C₂³	1	1	yes	characteristic
289	C₂²×#413	C₂³	1	1	yes	characteristic
290	C₂³×#100	C₂³	1	1	yes	characteristic
291	C₂³×#100	C₂³	1	1	yes	characteristic
292	C₂³×#100	C₂³	1	1	yes	characteristic
293	C₂³×#100	C₂³	1	1	yes	characteristic
294	C₂²×#410	C₂³	1	1	yes	characteristic
295	C₂²×#410	C₂³	1	1	yes	characteristic
296	C₂²×#410	C₂³	1	1	yes	characteristic
297	C₂×#2879	C₂³	1	1	yes	characteristic
298	C₂×#2879	C₂³	1	1	yes	characteristic
299	C₂×#2879	C₂³	1	1	yes	characteristic
300	C₂×#2879	C₂³	1	1	yes	characteristic
301	C₂×#2879	C₂³	1	1	yes	characteristic
302	C₂×#2879	C₂³	1	1	yes	characteristic
303	C₂²×#407	C₂³	1	1	yes	characteristic
304	C₂²×#407	C₂³	1	1	yes	characteristic
305	C₂²×#407	C₂³	1	1	yes	characteristic
306	C₂²×#407	C₂³	1	1	yes	characteristic
307	C₂²×#407	C₂³	1	1	yes	characteristic
308	C₂×#2873	C₂³	1	1	yes	characteristic
309	#34044	C₂³	1	1	yes	characteristic
310	C₂×#2309	C₂³	1	1	yes	characteristic
311	C₂×#2309	C₂³	1	1	yes	characteristic
312	C₂×#2280	C₂³	1	1	yes	characteristic
313	C₂×#2280	C₂³	1	1	yes	characteristic
314	C₂×#2010	D₄	1	4	yes	complemented
315	C₂×#2010	D₄	1	4	yes	complemented
316	C₂×#2010	D₄	1	8	yes	complemented
317	C₂×#1907	D₄	1	8	yes	complemented
318	#20945	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×#1740	C₂³	1	1	yes	characteristic
335	C₂×#1740	C₂³	1	1	yes	characteristic
336	C₂×#1740	C₂³	1	1	yes	characteristic
337	C₂×#1738	C₂³	1	1	yes	characteristic
338	C₂×#1738	C₂³	1	1	yes	characteristic
339	C₂×#1738	C₂³	1	1	yes	characteristic
340	C₂×#1738	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×#1733	C₂³	1	1	yes	characteristic
345	C₂×#1733	C₂³	1	1	yes	characteristic
346	C₂×#1733	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	C₂²×#338	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	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
358	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
359	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
360	#20335	C₂³	1	1	yes	characteristic
361	C₂×#585	C₂×D₄	1	4	yes	—
362	C₂×#585	C₂×D₄	1	4	yes	—
363	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
364	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	complemented
365	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
366	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
367	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	complemented
368	C₂³×#41	C₂×D₄	1	4	yes	—
369	C₂³×#41	C₂×D₄	1	4	yes	—
370	C₂³×#41	C₂×D₄	1	1	yes	characteristic
371	C₂³×#41	C₂×D₄	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	C₂³×#41	C₂⁴	1	1	yes	characteristic
376	C₂³×#41	C₂⁴	1	1	yes	characteristic
377	C₂³×#41	C₂⁴	1	1	yes	characteristic
378	C₂³×#41	C₂⁴	1	1	yes	characteristic
379	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
380	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
381	C₂⁴×D₄	C₂×D₄	1	4	yes	—
382	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
383	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
384	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
385	C₂×#575	C₂×D₄	1	4	yes	—
386	C₂×#575	C₂×D₄	1	4	yes	—
387	C₂²×#137	C₂×D₄	1	2	yes	—
388	C₂²×#137	C₂×D₄	1	2	yes	—
389	C₂²×#137	C₂×D₄	1	2	yes	—
390	C₂²×#137	C₂×D₄	1	2	yes	complemented
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	4	yes	—
399	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
400	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
401	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
402	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
403	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
404	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
405	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
406	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
407	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
408	C₂²×AGL(1,ℤ/8)	#41	1	4	yes	—
409	C₂²×#135	C₂×D₄	1	4	yes	—
410	C₂³×SD₁₆	C₂×D₄	1	2	yes	complemented
411	C₂³×D₈	C₂×D₄	1	2	yes	complemented
412	C₂²×#131	C₂×D₄	1	4	yes	complemented
413	C₂²×#131	C₂×D₄	1	4	yes	complemented
414	C₂³×M₁₆	C₂×D₄	1	4	yes	—
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	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
426	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
427	#3449	C₂×D₄	1	4	yes	—
428	#3449	C₂×D₄	1	4	yes	—
429	C₂×#535	C₂×D₄	1	4	yes	complemented
430	C₂²×#127	C₂×D₄	1	2	yes	complemented
431	C₂²×#127	C₂×D₄	1	2	yes	complemented
432	C₂²×#124	C₂×D₄	1	2	yes	complemented
433	C₂²×#124	C₂×D₄	1	2	yes	complemented
434	C₂×#525	C₂×D₄	1	4	yes	—
435	C₂×#525	C₂×D₄	1	4	yes	—
436	C₂×#525	C₂×D₄	1	2	yes	—
437	C₂×#525	C₂×D₄	1	2	yes	—
438	C₂×#525	C₂×D₄	1	4	yes	—
439	C₂×#525	C₂×D₄	1	2	yes	—
440	C₂×#525	C₂×D₄	1	2	yes	—
441	C₂×#525	C₂×D₄	1	4	yes	—
442	C₂×#525	C₂×D₄	1	2	yes	—
443	C₂×#525	C₂×D₄	1	2	yes	—
444	#3428	C₂×D₄	1	4	yes	—
445	#3428	C₂×D₄	1	4	yes	—
446	#3428	C₂×D₄	1	4	yes	complemented
447	C₂×#518	C₂×D₄	1	4	yes	complemented
448	C₂×C₄×#41	C₂×D₄	1	4	yes	—
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×#117	C₂⁴	1	1	yes	characteristic
453	C₂²×#117	C₂⁴	1	1	yes	characteristic
454	C₂²×#117	C₂⁴	1	1	yes	characteristic
455	C₂²×#117	C₂⁴	1	1	yes	characteristic
456	C₂²×#117	C₂⁴	1	1	yes	characteristic
457	C₂²×#117	C₂⁴	1	1	yes	characteristic
458	#2911	C₂×D₄	1	4	yes	complemented
459	C₂×#423	C₂×D₄	1	4	yes	complemented
460	C₂×#421	C₂×D₄	1	4	yes	—
461	C₂×#421	C₂×D₄	1	4	yes	—
462	C₂×#421	C₂×D₄	1	4	yes	—
463	C₂×#421	C₂×D₄	1	4	yes	—
464	C₂×#421	C₂×D₄	1	4	yes	complemented
465	C₂²×#104	C₂×D₄	1	4	yes	complemented
466	C₂²×#104	C₂×D₄	1	4	yes	complemented
467	#2896	C₂×D₄	1	4	yes	—
468	#2896	C₂×D₄	1	4	yes	—
469	#2896	C₂×D₄	1	4	yes	complemented
470	C₂×#417	C₂×D₄	1	4	yes	complemented
471	C₂×#419	C₂×D₄	1	2	yes	—
472	C₂×#419	C₂×D₄	1	2	yes	—
473	C₂×#419	C₂×D₄	1	2	yes	complemented
474	C₂×#418	C₂×D₄	1	2	yes	—
475	C₂×#418	C₂×D₄	1	2	yes	—
476	C₂×#418	C₂×D₄	1	4	yes	complemented
477	C₂×#418	C₂×D₄	1	4	yes	complemented
478	C₂×#418	C₂×D₄	1	2	yes	complemented
479	C₂×#418	C₂×D₄	1	4	yes	complemented
480	C₂²×#102	C₂×D₄	1	4	yes	complemented
481	C₂²×#101	C₂×D₄	1	2	yes	complemented
482	C₂²×#100	C₂×D₄	1	2	yes	complemented
483	C₂²×#100	C₂×D₄	1	4	yes	complemented
484	#2879	C₂×D₄	1	4	yes	complemented
485	C₂×#407	C₂×D₄	1	2	yes	—
486	C₂×#407	C₂×D₄	1	2	yes	—
487	C₂×#407	C₂×D₄	1	2	yes	—
488	C₂×#407	C₂×D₄	1	2	yes	—
489	C₂×#407	C₂×D₄	1	4	yes	—
490	#2873	C₂×D₄	1	4	yes	complemented
491	#2309	C₂×D₄	1	4	yes	complemented
492	#1742	C₂×D₄	1	4	yes	complemented
493	C₂×#343	C₂×D₄	1	4	yes	complemented
494	C₂×#341	C₂×D₄	1	4	yes	complemented
495	#1733	C₂×D₄	1	4	yes	complemented
496	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
497	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
498	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
499	C₂×2₋¹⁺⁴	#120	1	8	yes	complemented
500	C₂×H(5,𝔽₂)	#120	1	8	yes	complemented
501	C₂²×#41	#120	1	4	yes	—
502	C₂²×#41	#120	1	4	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	C₂²×D₄	1	2	yes	—
516	C₂²×#41	C₂²×D₄	1	2	yes	—
517	C₂²×#41	C₂²×D₄	1	2	yes	—
518	C₂²×#41	C₂²×D₄	1	2	yes	—
519	C₂²×#41	C₂²×D₄	1	2	yes	—
520	C₂²×#41	C₂²×D₄	1	2	yes	—
521	C₂²×#41	C₂²×D₄	1	2	yes	—
522	C₂²×#41	C₂²×D₄	1	2	yes	—
523	C₂²×#41	C₂²×D₄	1	2	yes	—
524	C₂²×#41	C₂²×D₄	1	2	yes	—
525	C₂²×#41	C₂²×D₄	1	2	yes	—
526	C₂²×#41	C₂×#41	1	2	yes	—
527	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
528	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
529	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
530	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
531	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
532	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
533	C₂³×Q₈	#120	1	4	yes	—
534	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
535	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
536	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
537	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
538	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
539	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
540	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
541	C₂³×D₄	#120	1	4	yes	—
542	C₂³×D₄	C₂²×D₄	1	2	yes	—
543	C₂³×D₄	C₂²×D₄	1	2	yes	—
544	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
545	C₂³×D₄	C₂²×D₄	1	2	yes	—
546	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
547	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
548	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
549	C₂³×D₄	C₂²×D₄	1	2	yes	—
550	C₂³×D₄	C₂²×D₄	1	2	yes	—
551	C₂³×D₄	C₂²×D₄	1	2	yes	—
552	C₂³×D₄	C₂²×D₄	1	2	yes	—
553	C₂³×D₄	C₂²×D₄	1	2	yes	—
554	C₂³×D₄	C₂²×D₄	1	2	yes	—
555	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
556	C₂³×D₄	C₂×#41	1	2	yes	—
557	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
558	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
559	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
560	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
561	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
562	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
563	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
564	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
565	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
566	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
567	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
568	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
569	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
570	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
571	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
572	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
573	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
574	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
575	C₂×AGL(1,ℤ/8)	#121	1	16	yes	—
576	C₂×AGL(1,ℤ/8)	#127	1	16	yes	—
577	C₂²×Q₁₆	#120	1	4	yes	complemented
578	C₂²×SD₁₆	#120	1	4	yes	complemented
579	C₂²×SD₁₆	#120	1	4	yes	complemented
580	C₂²×D₈	#120	1	4	yes	complemented
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	C₂²×D₄	1	2	yes	—
591	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
592	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
593	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
594	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
595	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
596	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
597	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
598	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
599	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
600	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
601	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
602	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
603	C₂²×M₁₆	C₂×#41	1	2	yes	—
604	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
605	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
606	C₂³×C₈	C₂²×D₄	1	2	yes	—
607	C₂³×C₈	C₂²×D₄	1	2	yes	—
608	#525	#120	1	8	yes	—
609	#525	#120	1	8	yes	—
610	C₄×#41	#120	1	16	yes	complemented
611	C₂×#117	C₂²×D₄	1	2	yes	—
612	C₂×#117	C₂²×D₄	1	2	yes	—
613	C₂×#117	C₂²×D₄	1	2	yes	—
614	C₂×#117	C₂²×D₄	1	2	yes	—
615	C₂×#117	C₂²×D₄	1	2	yes	—
616	C₂×#117	C₂²×D₄	1	2	yes	—
617	C₂×#117	C₂²×D₄	1	2	yes	—
618	C₂×#117	C₂²×D₄	1	2	yes	—
619	C₂×#117	C₂²×D₄	1	2	yes	—
620	C₂×#117	C₂²×D₄	1	2	yes	—
621	C₂×#117	C₂²×D₄	1	2	yes	—
622	C₂×#117	C₂²×D₄	1	2	yes	—
623	C₂×#117	C₂²×D₄	1	2	yes	—
624	C₂×#117	C₂²×D₄	1	2	yes	—
625	C₂×#117	C₂²×D₄	1	2	yes	—
626	C₂×#117	H(5,𝔽₂)	1	2	yes	—
627	C₂×#117	H(5,𝔽₂)	1	2	yes	—
628	C₂×#117	H(5,𝔽₂)	1	2	yes	—
629	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
630	C₂²×C₄²	C₂²×D₄	1	2	yes	—
631	C₂²×C₄²	C₂²×D₄	1	2	yes	—
632	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
633	#419	#120	1	8	yes	complemented
634	#418	#120	1	8	yes	complemented
635	C₂⁵	#534	1	2	yes	—
636	C₂⁵	D₄²	1	1	yes	characteristic
637	C₂⁵	D₄²	1	1	yes	characteristic
638	C₂⁵	D₄²	1	2	yes	—
639	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
640	C₂×#41	C₂×#120	1	4	yes	—
641	C₂×#41	C₂×#120	1	4	yes	—
642	C₂×#41	C₂×#120	1	4	yes	—
643	C₂×#41	C₂×#120	1	4	yes	—
644	C₂×#41	C₂×#120	1	4	yes	—
645	C₂×#41	C₂×#120	1	4	yes	—
646	C₂×#41	C₂×#120	1	4	yes	—
647	C₂×#41	C₂×#120	1	4	yes	—
648	C₂×#41	C₂×#121	1	4	yes	—
649	C₂×#41	C₂×#121	1	4	yes	—
650	C₂×#41	C₂×#121	1	4	yes	—
651	C₂×#41	C₂×#127	1	4	yes	—
652	C₂×#41	#534	1	4	yes	—
653	C₂×#41	#534	1	4	yes	—
654	C₂×#41	#534	1	4	yes	—
655	C₂×#41	#534	1	4	yes	—
656	C₂×#41	#535	1	4	yes	—
657	C₂×#41	#535	1	4	yes	—
658	C₂×#41	D₄²	1	4	yes	—
659	C₂×#41	D₄²	1	4	yes	—
660	C₂×#41	D₄²	1	4	yes	—
661	C₂×#41	D₄²	1	4	yes	—
662	C₂×#41	D₄²	1	4	yes	—
663	C₂×#41	D₄²	1	4	yes	—
664	C₂×#41	D₄²	1	4	yes	—
665	C₂×#41	D₄²	1	4	yes	—
666	C₂×#41	D₄²	1	4	yes	—
667	C₂×#41	D₄²	1	4	yes	—
668	C₂×#41	D₄²	1	4	yes	—
669	C₂×#41	#546	1	4	yes	—
670	C₂×#41	#546	1	4	yes	—
671	C₂×#41	#546	1	4	yes	—
672	C₂²×Q₈	C₂×#120	1	2	yes	—
673	C₂²×Q₈	C₂×#120	1	2	yes	—
674	C₂²×Q₈	C₂×#120	1	2	yes	—
675	C₂²×Q₈	C₂×#120	1	2	yes	—
676	C₂²×Q₈	C₂×#120	1	2	yes	—
677	C₂²×Q₈	C₂×#120	1	2	yes	—
678	C₂²×Q₈	#534	1	2	yes	—
679	C₂²×Q₈	D₄²	1	2	yes	—
680	C₂²×Q₈	D₄²	1	2	yes	—
681	C₂²×Q₈	D₄²	1	2	yes	—
682	C₂²×Q₈	D₄²	1	2	yes	—
683	C₂²×Q₈	D₄²	1	2	yes	—
684	C₂²×Q₈	D₄²	1	2	yes	—
685	C₂²×Q₈	D₄²	1	2	yes	—
686	C₂²×Q₈	#546	1	2	yes	—
687	C₂²×D₄	C₂×#120	1	4	yes	—
688	C₂²×D₄	C₂×#120	1	2	yes	—
689	C₂²×D₄	C₂×#120	1	2	yes	—
690	C₂²×D₄	C₂×#120	1	2	yes	—
691	C₂²×D₄	C₂×#120	1	4	yes	—
692	C₂²×D₄	C₂×#120	1	4	yes	—
693	C₂²×D₄	C₂×#120	1	4	yes	—
694	C₂²×D₄	C₂×#120	1	2	yes	—
695	C₂²×D₄	C₂×#120	1	2	yes	—
696	C₂²×D₄	C₂×#120	1	2	yes	—
697	C₂²×D₄	C₂×#121	1	4	yes	—
698	C₂²×D₄	C₂×#121	1	4	yes	—
699	C₂²×D₄	C₂×#121	1	4	yes	—
700	C₂²×D₄	C₂×#127	1	4	yes	—
701	C₂²×D₄	#534	1	2	yes	—
702	C₂²×D₄	D₄²	1	2	yes	—
703	C₂²×D₄	D₄²	1	2	yes	—
704	C₂²×D₄	D₄²	1	2	yes	—
705	C₂²×D₄	D₄²	1	2	yes	—
706	C₂²×D₄	D₄²	1	2	yes	—
707	C₂²×D₄	D₄²	1	2	yes	—
708	C₂²×D₄	D₄²	1	2	yes	—
709	C₂²×D₄	#546	1	2	yes	—
710	C₂³×C₄	C₂×#120	1	2	yes	—
711	C₂³×C₄	C₂×#120	1	2	yes	—
712	C₂³×C₄	C₂×#120	1	2	yes	—
713	C₂³×C₄	C₂×#120	1	2	yes	—
714	C₂³×C₄	#534	1	2	yes	—
715	C₂³×C₄	D₄²	1	1	yes	characteristic
716	C₂³×C₄	D₄²	1	1	yes	characteristic
717	C₂³×C₄	D₄²	1	2	yes	—
718	C₂³×C₄	D₄²	1	2	yes	—
719	C₂³×C₄	D₄²	1	2	yes	—
720	C₂³×C₄	D₄²	1	2	yes	—
721	C₂³×C₄	D₄²	1	2	yes	—
722	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
723	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
724	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
725	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
726	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
727	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
728	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
729	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
730	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
731	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
732	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
733	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
734	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
735	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
737	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
739	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
741	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
742	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
743	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
744	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
745	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
746	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
747	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
748	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
749	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
750	C₂³×C₄	#585	1	1	yes	characteristic
751	C₂³×C₄	#585	1	1	yes	characteristic
752	AGL(1,ℤ/8)	#392	1	64	yes	—
753	C₂×M₁₆	C₂×#120	1	4	yes	—
754	C₂×M₁₆	C₂×#120	1	4	yes	—
755	C₂×M₁₆	C₂×#120	1	4	yes	—
756	C₂×M₁₆	C₂×#120	1	4	yes	—
757	C₂×M₁₆	C₂×#120	1	4	yes	—
758	C₂×M₁₆	C₂×#121	1	4	yes	—
759	C₂×M₁₆	C₂×#121	1	4	yes	—
760	C₂×M₁₆	C₂×#121	1	4	yes	—
761	C₂×M₁₆	C₂×#127	1	4	yes	—
762	C₂×M₁₆	D₄²	1	4	yes	—
763	C₂²×C₈	C₂×#120	1	4	yes	—
764	C₂²×C₈	D₄²	1	4	yes	—
765	#117	C₂×#120	1	4	yes	—
766	#117	C₂×#120	1	4	yes	—
767	#117	C₂×#120	1	4	yes	—
768	#117	#534	1	4	yes	—
769	#117	D₄²	1	4	yes	—
770	#117	D₄²	1	4	yes	—
771	#117	D₄²	1	4	yes	—
772	C₂×C₄²	C₂×#120	1	4	yes	—
773	C₂×C₄²	D₄²	1	4	yes	—
774	C₂×C₄²	D₄²	1	4	yes	—
775	C₂×C₄²	D₄²	1	4	yes	—
776	C₂⁴	#2403	1	2	yes	—
777	C₂⁴	#2403	1	2	yes	—
778	C₂⁴	C₂×#534	1	1	yes	characteristic
779	C₂⁴	C₂×D₄²	1	1	yes	characteristic
780	C₂⁴	C₂×D₄²	1	1	yes	characteristic
781	C₂⁴	#3484	1	1	yes	characteristic
782	C₂⁴	#3484	1	1	yes	characteristic
783	C₂⁴	#3484	1	1	yes	characteristic
784	C₂⁴	#3484	1	1	yes	characteristic
785	C₂⁴	#3484	1	1	yes	characteristic
786	C₂⁴	#3484	1	1	yes	characteristic
787	C₂⁴	#3488	1	1	yes	characteristic
788	C₂⁴	#3519	1	1	yes	characteristic
789	C₂⁴	#3532	1	1	yes	characteristic
790	C₂⁴	#3532	1	1	yes	characteristic
791	C₂⁴	#3534	1	1	yes	characteristic
792	C₂⁴	#3537	1	1	yes	characteristic
793	#41	C₂×#392	1	8	yes	—
794	#41	#2403	1	8	yes	—
795	#41	#2403	1	8	yes	—
796	#41	#2408	1	8	yes	—
797	#41	#2410	1	8	yes	—
798	#41	#2410	1	8	yes	—
799	#41	#2433	1	8	yes	—
800	#41	#2613	1	8	yes	—
801	C₂×Q₈	#2403	1	4	yes	—
802	C₂×Q₈	#2403	1	4	yes	—
803	C₂×Q₈	#2403	1	4	yes	—
804	C₂×Q₈	#2408	1	4	yes	—
805	C₂×Q₈	#2410	1	4	yes	—
806	C₂×Q₈	#2410	1	4	yes	—
807	C₂×Q₈	#2433	1	4	yes	—
808	C₂×Q₈	#2846	1	4	yes	—
809	C₂×D₄	C₂×#392	1	8	yes	—
810	C₂×D₄	#2403	1	4	yes	—
811	C₂×D₄	#2403	1	4	yes	—
812	C₂×D₄	#2403	1	4	yes	—
813	C₂×D₄	#2408	1	4	yes	—
814	C₂×D₄	#2410	1	4	yes	—
815	C₂×D₄	#2410	1	4	yes	—
816	C₂×D₄	#2433	1	4	yes	—
817	C₂×D₄	#2846	1	4	yes	—
818	C₂²×C₄	#2403	1	2	yes	—
819	C₂²×C₄	#2403	1	2	yes	—
820	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
821	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
822	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
823	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
824	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
825	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
826	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
827	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
828	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
829	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
830	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
831	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
832	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
833	C₂²×C₄	C₂²×#127	1	1	yes	characteristic
834	C₂²×C₄	C₂×#534	1	1	yes	characteristic
835	C₂²×C₄	C₂×#534	1	1	yes	characteristic
836	C₂²×C₄	C₂×#534	1	1	yes	characteristic
837	C₂²×C₄	C₂×#534	1	1	yes	characteristic
838	C₂²×C₄	C₂×#534	1	1	yes	characteristic
839	C₂²×C₄	C₂×#534	1	1	yes	characteristic
840	C₂²×C₄	C₂×#535	1	1	yes	characteristic
841	C₂²×C₄	C₂×#535	1	1	yes	characteristic
842	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
843	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
844	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
845	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
846	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
847	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
848	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
849	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
850	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
851	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
852	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
853	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
854	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
855	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
856	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
857	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
858	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
859	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
860	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
861	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
862	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
863	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
864	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
865	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
866	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
867	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
868	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
869	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
870	C₂²×C₄	C₂×#546	1	1	yes	characteristic
871	C₂²×C₄	C₂×#546	1	1	yes	characteristic
872	C₂²×C₄	C₂×#546	1	1	yes	characteristic
873	C₂²×C₄	C₂×#546	1	1	yes	characteristic
874	C₂²×C₄	D₄×#41	1	1	yes	characteristic
875	C₂²×C₄	D₄×#41	1	1	yes	characteristic
876	C₂²×C₄	#3484	1	1	yes	characteristic
877	C₂²×C₄	#3484	1	1	yes	characteristic
878	C₂²×C₄	#3484	1	1	yes	characteristic
879	C₂²×C₄	#3484	1	1	yes	characteristic
880	C₂²×C₄	#3484	1	1	yes	characteristic
881	C₂²×C₄	#3484	1	1	yes	characteristic
882	C₂²×C₄	#3484	1	1	yes	characteristic
883	C₂²×C₄	#3484	1	1	yes	characteristic
884	C₂²×C₄	#3484	1	1	yes	characteristic
885	C₂²×C₄	#3484	1	1	yes	characteristic
886	C₂²×C₄	#3484	1	1	yes	characteristic
887	C₂²×C₄	#3484	1	1	yes	characteristic
888	C₂²×C₄	#3484	1	1	yes	characteristic
889	C₂²×C₄	#3484	1	1	yes	characteristic
890	C₂²×C₄	#3484	1	1	yes	characteristic
891	C₂²×C₄	#3484	1	1	yes	characteristic
892	C₂²×C₄	#3484	1	1	yes	characteristic
893	C₂²×C₄	#3484	1	1	yes	characteristic
894	C₂²×C₄	#3484	1	1	yes	characteristic
895	C₂²×C₄	#3484	1	1	yes	characteristic
896	C₂²×C₄	#3484	1	1	yes	characteristic
897	C₂²×C₄	#3484	1	1	yes	characteristic
898	C₂²×C₄	#3484	1	1	yes	characteristic
899	C₂²×C₄	#3484	1	1	yes	characteristic
900	C₂²×C₄	#3484	1	1	yes	characteristic
901	C₂²×C₄	#3484	1	1	yes	characteristic
902	C₂²×C₄	#3484	1	1	yes	characteristic
903	C₂²×C₄	#3484	1	1	yes	characteristic
904	C₂²×C₄	#3484	1	1	yes	characteristic
905	C₂²×C₄	#3484	1	1	yes	characteristic
906	C₂²×C₄	#3484	1	1	yes	characteristic
907	C₂²×C₄	#3485	1	1	yes	characteristic
908	C₂²×C₄	#3488	1	1	yes	characteristic
909	C₂²×C₄	#3488	1	1	yes	characteristic
910	C₂²×C₄	#3488	1	1	yes	characteristic
911	C₂²×C₄	#3488	1	1	yes	characteristic
912	C₂²×C₄	#3488	1	1	yes	characteristic
913	C₂²×C₄	#3488	1	1	yes	characteristic
914	C₂²×C₄	#3488	1	1	yes	characteristic
915	C₂²×C₄	#3488	1	1	yes	characteristic
916	C₂²×C₄	#3488	1	1	yes	characteristic
917	C₂²×C₄	#3496	1	1	yes	characteristic
918	C₂²×C₄	#3496	1	1	yes	characteristic
919	C₂²×C₄	#3496	1	1	yes	characteristic
920	C₂²×C₄	#3496	1	1	yes	characteristic
921	C₂²×C₄	#3496	1	1	yes	characteristic
922	C₂²×C₄	#3496	1	1	yes	characteristic
923	C₂²×C₄	#3496	1	1	yes	characteristic
924	C₂²×C₄	#3496	1	1	yes	characteristic
925	C₂²×C₄	#3496	1	1	yes	characteristic
926	C₂²×C₄	#3496	1	1	yes	characteristic
927	C₂²×C₄	#3498	1	1	yes	characteristic
928	C₂²×C₄	#3498	1	1	yes	characteristic
929	C₂²×C₄	#3498	1	1	yes	characteristic
930	C₂²×C₄	#3498	1	1	yes	characteristic
931	C₂²×C₄	#3498	1	1	yes	characteristic
932	C₂²×C₄	#3498	1	1	yes	characteristic
933	C₂²×C₄	#3498	1	1	yes	characteristic
934	C₂²×C₄	#3498	1	1	yes	characteristic
935	C₂²×C₄	#3519	1	1	yes	characteristic
936	C₂²×C₄	#3519	1	1	yes	characteristic
937	C₂²×C₄	#3519	1	1	yes	characteristic
938	C₂²×C₄	#3519	1	1	yes	characteristic
939	C₂²×C₄	#3519	1	1	yes	characteristic
940	C₂²×C₄	#3532	1	1	yes	characteristic
941	C₂²×C₄	#3532	1	1	yes	characteristic
942	C₂²×C₄	#3532	1	1	yes	characteristic
943	C₂²×C₄	#3532	1	1	yes	characteristic
944	C₂²×C₄	#3532	1	1	yes	characteristic
945	C₂²×C₄	#3532	1	1	yes	characteristic
946	C₂²×C₄	#3534	1	1	yes	characteristic
947	C₂²×C₄	#3534	1	1	yes	characteristic
948	C₂²×C₄	#3534	1	1	yes	characteristic
949	C₂²×C₄	#3537	1	1	yes	characteristic
950	C₂²×C₄	#3537	1	1	yes	characteristic
951	C₂²×C₄	#3537	1	1	yes	characteristic
952	C₂²×C₄	#3537	1	1	yes	characteristic
953	C₂²×C₄	#3537	1	1	yes	characteristic
954	C₂²×C₄	#3542	1	1	yes	characteristic
955	C₂²×C₄	#3542	1	1	yes	characteristic
956	C₂²×C₄	#3543	1	1	yes	characteristic
957	C₂²×C₄	#3543	1	1	yes	characteristic
958	C₂²×C₄	#3543	1	1	yes	characteristic
959	C₂²×C₄	#3543	1	1	yes	characteristic
960	M₁₆	C₂×#392	1	8	yes	—
961	C₄²	#2403	1	8	yes	—
962	C₂³	C₂×#2403	1	1	yes	characteristic
963	C₂³	#34980	1	1	yes	characteristic
964	C₂³	#34980	1	1	yes	characteristic
965	C₂³	#35680	1	1	yes	characteristic
966	C₂³	#35691	1	1	yes	characteristic
967	C₂³	#35691	1	1	yes	characteristic
968	C₂³	#35921	1	1	yes	characteristic
969	C₂³	D₄×#120	1	1	yes	characteristic
970	C₂³	D₄×#120	1	1	yes	characteristic
971	C₂³	D₄×#120	1	1	yes	characteristic
972	C₂³	D₄×#120	1	1	yes	characteristic
973	C₂³	D₄×#120	1	1	yes	characteristic
974	C₂³	D₄×#121	1	1	yes	characteristic
975	C₂³	#37644	1	1	yes	characteristic
976	C₂³	#37644	1	1	yes	characteristic
977	C₂³	#37644	1	1	yes	characteristic
978	C₂³	#37646	1	1	yes	characteristic
979	C₂³	#37672	1	1	yes	characteristic
980	C₂³	#38020	1	1	yes	characteristic
981	C₂³	#40484	1	1	yes	characteristic
982	C₂³	#40490	1	1	yes	characteristic
983	C₂³	#40584	1	1	yes	characteristic
984	C₂³	#40590	1	1	yes	characteristic
985	C₂³	#42996	1	1	yes	characteristic
986	C₂³	#43001	1	1	yes	characteristic
987	C₂³	#43001	1	1	yes	characteristic
988	C₂³	#43095	1	1	yes	characteristic
989	C₂³	#43098	1	1	yes	characteristic
990	C₂³	#43098	1	1	yes	characteristic
991	C₂³	#43886	1	1	yes	characteristic
992	C₂³	#43893	1	1	yes	characteristic
993	C₂³	#58990	1	1	yes	characteristic
994	C₂³	#58990	1	1	yes	characteristic
995	C₂³	#58997	1	1	yes	characteristic
996	C₂³	#59123	1	1	yes	characteristic
997	Q₈	#14715	1	8	yes	—
998	D₄	#14715	1	8	yes	—
999	C₂×C₄	C₂²×#392	1	1	yes	characteristic
1000	C₂×C₄	C₂×#2613	1	1	yes	characteristic
1001	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1002	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1003	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1004	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1005	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1006	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1007	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1008	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1009	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1010	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1011	C₂×C₄	C₂×#2408	1	1	yes	characteristic
1012	C₂×C₄	C₂×#2408	1	1	yes	characteristic
1013	C₂×C₄	C₂×#2433	1	1	yes	characteristic
1014	C₂×C₄	C₂×#2433	1	1	yes	characteristic
1015	C₂×C₄	#34980	1	1	yes	characteristic
1016	C₂×C₄	#35346	1	1	yes	characteristic
1017	C₂×C₄	#35346	1	1	yes	characteristic
1018	C₂×C₄	#35347	1	1	yes	characteristic
1019	C₂×C₄	#35347	1	1	yes	characteristic
1020	C₂×C₄	#35512	1	1	yes	characteristic
1021	C₂×C₄	#35527	1	1	yes	characteristic
1022	C₂×C₄	#35680	1	1	yes	characteristic
1023	C₂×C₄	#35680	1	1	yes	characteristic
1024	C₂×C₄	#35680	1	1	yes	characteristic
1025	C₂×C₄	#35680	1	1	yes	characteristic
1026	C₂×C₄	#35680	1	1	yes	characteristic
1027	C₂×C₄	#35680	1	1	yes	characteristic
1028	C₂×C₄	#35680	1	1	yes	characteristic
1029	C₂×C₄	#35680	1	1	yes	characteristic
1030	C₂×C₄	#35680	1	1	yes	characteristic
1031	C₂×C₄	#35680	1	1	yes	characteristic
1032	C₂×C₄	#35680	1	1	yes	characteristic
1033	C₂×C₄	#35691	1	1	yes	characteristic
1034	C₂×C₄	#35691	1	1	yes	characteristic
1035	C₂×C₄	#35691	1	1	yes	characteristic
1036	C₂×C₄	#35691	1	1	yes	characteristic
1037	C₂×C₄	#35921	1	1	yes	characteristic
1038	C₂×C₄	D₄×#120	1	1	yes	characteristic
1039	C₂×C₄	D₄×#120	1	1	yes	characteristic
1040	C₂×C₄	D₄×#120	1	1	yes	characteristic
1041	C₂×C₄	D₄×#120	1	1	yes	characteristic
1042	C₂×C₄	D₄×#120	1	1	yes	characteristic
1043	C₂×C₄	D₄×#120	1	1	yes	characteristic
1044	C₂×C₄	D₄×#120	1	1	yes	characteristic
1045	C₂×C₄	D₄×#120	1	1	yes	characteristic
1046	C₂×C₄	D₄×#120	1	1	yes	characteristic
1047	C₂×C₄	D₄×#120	1	1	yes	characteristic
1048	C₂×C₄	D₄×#121	1	1	yes	characteristic
1049	C₂×C₄	D₄×#121	1	1	yes	characteristic
1050	C₂×C₄	D₄×#121	1	1	yes	characteristic
1051	C₂×C₄	D₄×#121	1	1	yes	characteristic
1052	C₂×C₄	D₄×#121	1	1	yes	characteristic
1053	C₂×C₄	D₄×#127	1	1	yes	characteristic
1054	C₂×C₄	D₄×#127	1	1	yes	characteristic
1055	C₂×C₄	#36212	1	1	yes	characteristic
1056	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1057	C₂×C₄	#37644	1	1	yes	characteristic
1058	C₂×C₄	#37644	1	1	yes	characteristic
1059	C₂×C₄	#37644	1	1	yes	characteristic
1060	C₂×C₄	#37644	1	1	yes	characteristic
1061	C₂×C₄	#37644	1	1	yes	characteristic
1062	C₂×C₄	#37646	1	1	yes	characteristic
1063	C₂×C₄	#37650	1	1	yes	characteristic
1064	C₂×C₄	#37650	1	1	yes	characteristic
1065	C₂×C₄	#37672	1	1	yes	characteristic
1066	C₂×C₄	#37672	1	1	yes	characteristic
1067	C₂×C₄	#37672	1	1	yes	characteristic
1068	C₂×C₄	#37674	1	1	yes	characteristic
1069	C₂×C₄	#37674	1	1	yes	characteristic
1070	C₂×C₄	#38020	1	1	yes	characteristic
1071	C₂×C₄	#38904	1	1	yes	characteristic
1072	C₂×C₄	#39336	1	1	yes	characteristic
1073	C₂×C₄	#39336	1	1	yes	characteristic
1074	C₂×C₄	#39338	1	1	yes	characteristic
1075	C₂×C₄	#40484	1	1	yes	characteristic
1076	C₂×C₄	#40484	1	1	yes	characteristic
1077	C₂×C₄	#40484	1	1	yes	characteristic
1078	C₂×C₄	#40490	1	1	yes	characteristic
1079	C₂×C₄	#40584	1	1	yes	characteristic
1080	C₂×C₄	#40584	1	1	yes	characteristic
1081	C₂×C₄	#40584	1	1	yes	characteristic
1082	C₂×C₄	#40590	1	1	yes	characteristic
1083	C₂×C₄	#42996	1	1	yes	characteristic
1084	C₂×C₄	#42996	1	1	yes	characteristic
1085	C₂×C₄	#42996	1	1	yes	characteristic
1086	C₂×C₄	#43001	1	1	yes	characteristic
1087	C₂×C₄	#43001	1	1	yes	characteristic
1088	C₂×C₄	#43001	1	1	yes	characteristic
1089	C₂×C₄	#43001	1	1	yes	characteristic
1090	C₂×C₄	#43095	1	1	yes	characteristic
1091	C₂×C₄	#43095	1	1	yes	characteristic
1092	C₂×C₄	#43095	1	1	yes	characteristic
1093	C₂×C₄	#43098	1	1	yes	characteristic
1094	C₂×C₄	#43098	1	1	yes	characteristic
1095	C₂×C₄	#43886	1	1	yes	characteristic
1096	C₂×C₄	#43886	1	1	yes	characteristic
1097	C₂×C₄	#43886	1	1	yes	characteristic
1098	C₂×C₄	#43893	1	1	yes	characteristic
1099	C₂×C₄	#58990	1	1	yes	characteristic
1100	C₂×C₄	#58990	1	1	yes	characteristic
1101	C₂×C₄	#58990	1	1	yes	characteristic
1102	C₂×C₄	#58990	1	1	yes	characteristic
1103	C₂×C₄	#58990	1	1	yes	characteristic
1104	C₂×C₄	#58990	1	1	yes	characteristic
1105	C₂×C₄	#58997	1	1	yes	characteristic
1106	C₂×C₄	#58997	1	1	yes	characteristic
1107	C₂×C₄	#58997	1	1	yes	characteristic
1108	C₂×C₄	#58997	1	1	yes	characteristic
1109	C₂×C₄	#58997	1	1	yes	characteristic
1110	C₂×C₄	#59004	1	1	yes	characteristic
1111	C₂×C₄	#59004	1	1	yes	characteristic
1112	C₂×C₄	#59123	1	1	yes	characteristic
1113	C₂×C₄	#59123	1	1	yes	characteristic
1114	C₂×C₄	#59123	1	1	yes	characteristic
1115	C₂×C₄	#59126	1	1	yes	characteristic
1116	C₂×C₄	#59126	1	1	yes	characteristic
1117	C₂×C₄	#59126	1	1	yes	characteristic
1118	C₂×C₄	#59126	1	1	yes	characteristic
1119	C₂²	#612424	1	1	yes	characteristic
1120	C₂²	#647656	1	1	yes	characteristic
1121	C₂²	#647714	1	1	yes	characteristic
1122	C₂²	#686200	1	1	yes	characteristic
1123	C₂²	#686258	1	1	yes	characteristic
1124	C₂²	#719096	1	1	yes	characteristic
1125	C₂²	#719140	1	1	yes	characteristic
1126	C₂²	#772778	1	1	yes	characteristic
1127	C₂²	#772778	1	1	yes	characteristic
1128	C₂²	#772794	1	1	yes	characteristic
1129	C₂²	#772794	1	1	yes	characteristic
1130	C₂²	#773762	1	1	yes	characteristic
1131	C₂²	#773780	1	1	yes	characteristic
1132	C₂²	#1393169	1	1	yes	characteristic
1133	C₂²	D₄×#392	1	1	yes	characteristic
1134	C₄	C₂×#14715	1	1	yes	characteristic
1135	C₄	#647656	1	1	yes	characteristic
1136	C₄	#647663	1	1	yes	characteristic
1137	C₄	#647714	1	1	yes	characteristic
1138	C₄	#649038	1	1	yes	characteristic
1139	C₄	#686200	1	1	yes	characteristic
1140	C₄	#686258	1	1	yes	characteristic
1141	C₄	#772778	1	1	yes	characteristic
1142	C₄	#772778	1	1	yes	characteristic
1143	C₄	#772794	1	1	yes	characteristic
1144	C₄	#772794	1	1	yes	characteristic
1145	C₄	#773762	1	1	yes	characteristic
1146	C₄	#773780	1	1	yes	characteristic
1147	C₄	#1393169	1	1	yes	characteristic
1148	C₄	D₄×#392	1	1	yes	characteristic
1149	C₄	#4928938	1	1	yes	characteristic
1150	C₂	#72215995	1	2	yes	—
1151	C₂	#72233926	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. #72252151	C₂	semidirect
2. #72252150	C₂	semidirect
3. #72252149	C₂	semidirect
4. #72252148	C₂	semidirect
5. #72252147	C₂	semidirect
6. #72252146	C₂	semidirect
7. #72252145	C₂	semidirect
8. #72252144	C₂	semidirect
9. #72252143	C₂	semidirect
10. #72252142	C₂	semidirect
11. #72252141	C₂	semidirect
12. #72252140	C₂	semidirect
13. #72252139	C₂	semidirect
14. #72252138	C₂	semidirect
15. #72252110	C₂	semidirect
16. #72252105	C₂	semidirect
17. C₂×#359681	C₂	semidirect
18. C₂×#364625	C₂	semidirect
19. C₂×#394131	C₂	semidirect
20. #72251265	C₂	semidirect
21. #72251128	C₂	semidirect
22. #72250500	C₂	semidirect
23. #72239651	C₂	semidirect
24. #72238744	C₂	semidirect
25. C₂×#6431743	C₂	semidirect
26. #72237505	C₂	semidirect
27. #72236744	C₂	semidirect
28. C₂×#6437475	C₂	semidirect
29. C₂×#10576108	C₂	semidirect
30. C₂×#393975	C₂	semidirect
31. C₂×#394102	C₂	semidirect
32. C₂×#63090	C₂²	semidirect
36. C₂×#62811	C₂²	semidirect
37. C₂²×#3484	C₂²	semidirect
38. C₂×#60644	C₂²	semidirect
40. C₂×#60423	C₂²	semidirect
41. C₂×#60454	C₂²	semidirect
42. C₂×#60444	C₂²	semidirect
43. #10574839	C₂²	semidirect
45. C₂×#60367	C₂²	semidirect
46. C₂×#60367	C₂²	semidirect
49. C₂²×#3021	C₂²	semidirect
50. C₂²×#3019	C₂²	semidirect
51. C₂²×#3003	C₂²	semidirect
52. C₂²×#3003	C₂²	semidirect
53. C₂×#60141	C₂²	semidirect
55. C₂×#60064	C₂²	semidirect
56. C₂×#60093	C₂²	semidirect
57. C₂×#60093	C₂²	semidirect
58. C₂×#35222	C₂²	semidirect
59. C₂×#23443	C₂²	semidirect
60. #6431784	C₂²	semidirect
61. C₂×#23439	C₂²	semidirect
62. C₂×#23439	C₂²	semidirect
63. #6431764	C₂²	semidirect
64. C₂×#23414	C₂²	semidirect
65. C₂×#23414	C₂²	semidirect
66. C₂×#23414	C₂²	semidirect
67. C₂×#23414	C₂²	semidirect
70. C₂²×#2010	C₂²	semidirect
71. C₂²×#2010	C₂²	semidirect
72. C₂²×#2010	C₂²	semidirect
73. C₂×#23412	C₂²	semidirect
74. C₂²×#2008	C₂²	semidirect
75. C₂²×#2008	C₂²	semidirect
76. #6431733	C₂²	semidirect
77. C₂×#23407	C₂²	semidirect
78. C₂×#23407	C₂²	semidirect
79. #6431722	C₂²	semidirect
80. C₂×#23400	C₂²	semidirect
81. C₂×#23400	C₂²	semidirect
82. C₂×#23400	C₂²	semidirect
83. C₂×#23402	C₂²	semidirect
84. C₂×#23402	C₂²	semidirect
85. C₂²×#1911	C₂²	semidirect
86. #6371536	C₂²	semidirect
89. C₂×#21005	C₂²	semidirect
90. C₂×#21005	C₂²	semidirect
91. C₂×#20998	C₂²	semidirect
92. C₂²×#1904	C₂²	semidirect
93. C₂×#20995	C₂²	semidirect
94. C₂×#20989	C₂²	semidirect
96. C₂×#20945	C₂²	semidirect
97. #6371397	C₂²	semidirect
98. #6371397	C₂²	semidirect
99. C₂×#20902	C₂²	semidirect
100. C₂×#20623	C₂²	semidirect
101. C₂²×#1795	C₂²	semidirect
102. C₂×#20620	C₂²	semidirect
103. #6370746	C₂²	semidirect
104. C₂×#20616	C₂²	semidirect
105. C₂×#20605	C₂²	semidirect
106. #6370715	C₂²	semidirect
107. C₂×#20598	C₂²	semidirect
108. C₂²×#1783	C₂²	semidirect
109. C₂×#20338	C₂²	semidirect
110. C₂×#11141	C₂²	semidirect
111. C₂×#11115	C₂²	semidirect
112. #357750	C₂²	semidirect
113. #357746	C₂²	semidirect
114. C₂×#11037	C₂²	semidirect
115. C₂×#11037	C₂²	semidirect
116. #357591	C₂²	semidirect
117. C₂×#11034	C₂²	semidirect
118. C₂×#11034	C₂²	semidirect
119. C₂×#11033	C₂²	semidirect
120. C₂×#11033	C₂²	semidirect
121. C₂×#11032	C₂²	semidirect
122. C₂×#11032	C₂²	semidirect
123. C₂×#11032	C₂²	semidirect
124. #357581	C₂²	semidirect
125. #357581	C₂²	semidirect
126. #357581	C₂²	semidirect
127. #357581	C₂²	semidirect
128. #357575	C₂²	semidirect
129. #357571	C₂²	semidirect
130. C₂×#11014	C₂²	semidirect
131. C₂×#11014	C₂²	semidirect
132. C₂×#11012	C₂²	semidirect
133. #357561	C₂²	semidirect
134. #357561	C₂²	semidirect
135. C₂×#11004	C₂²	semidirect
136. C₂×#11004	C₂²	semidirect
137. C₂×#11003	C₂²	semidirect
138. C₂×#11000	C₂²	semidirect
139. #357548	C₂²	semidirect
140. C₂×#10994	C₂²	semidirect
141. C₂×#10994	C₂²	semidirect
142. C₂×#10994	C₂²	semidirect
143. C₂×#10994	C₂²	semidirect
144. C₂×#10993	C₂²	semidirect
145. C₂×#10993	C₂²	semidirect
146. C₂×#10993	C₂²	semidirect
147. #357529	C₂²	semidirect
148. #357493	C₂²	semidirect
149. C₂×#11006	C₂²	semidirect
150. C₂×#10989	C₂²	semidirect
151. C₂×#10989	C₂²	semidirect
152. #357475	C₂²	semidirect
153. C₂×#10987	C₂²	semidirect
154. C₂×#10955	C₂²	semidirect
155. C₂×#10955	C₂²	semidirect
156. C₂×#10787	C₂²	semidirect
157. #353468	C₂²	semidirect
158. C₂×#10785	C₂²	semidirect
159. C₂×#10740	C₂²	semidirect
160. #353416	C₂²	semidirect
161. #353403	C₂²	semidirect
162. C₂×#10794	C₂²	semidirect
163. C₂×#10792	C₂²	semidirect
164. C₂×#10778	C₂²	semidirect
165. C₂×#10778	C₂²	semidirect
166. #353352	C₂²	semidirect
167. #123999	C₂²	semidirect
168. #123976	C₂²	semidirect
169. #123912	C₂²	semidirect
170. #123910	C₂²	semidirect
171. #123638	C₂²	semidirect
172. #123619	C₂²	semidirect
173. #123619	C₂²	semidirect
174. #123618	C₂²	semidirect
175. #123609	C₂²	semidirect
176. #123607	C₂²	semidirect
177. #123604	C₂²	semidirect
178. #123602	C₂²	semidirect
179. #123600	C₂²	semidirect
180. #123563	C₂²	semidirect
181. #123560	C₂²	semidirect
182. #123554	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123532	C₂²	semidirect
185. #123505	C₂²	semidirect
186. #123501	C₂²	semidirect
192. C₂²×#577	D₄	semidirect
193. C₂²×#576	D₄	semidirect
202. C₂³×AGL(1,ℤ/8)	D₄	semidirect
215. #62811	D₄	semidirect
233. C₂×#3040	D₄	semidirect
234. C₂×#3038	D₄	semidirect
235. C₂²×#454	D₄	semidirect
236. C₂²×#453	D₄	semidirect
237. #60369	D₄	semidirect
238. C₂×#3005	D₄	semidirect
239. C₂×#3005	D₄	semidirect
240. C₂×#3004	D₄	semidirect
241. C₂×#3003	D₄	semidirect
242. #60168	D₄	semidirect
314. C₂×#2010	D₄	semidirect
315. C₂×#2010	D₄	semidirect
316. C₂×#2010	D₄	semidirect
317. C₂×#1907	D₄	semidirect
318. #20945	D₄	semidirect
364. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
366. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
367. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
390. C₂²×#137	C₂×D₄	semidirect
405. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
406. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
407. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
410. C₂³×SD₁₆	C₂×D₄	semidirect
411. C₂³×D₈	C₂×D₄	semidirect
412. C₂²×#131	C₂×D₄	semidirect
413. C₂²×#131	C₂×D₄	semidirect
429. C₂×#535	C₂×D₄	semidirect
430. C₂²×#127	C₂×D₄	semidirect
431. C₂²×#127	C₂×D₄	semidirect
432. C₂²×#124	C₂×D₄	semidirect
433. C₂²×#124	C₂×D₄	semidirect
446. #3428	C₂×D₄	semidirect
447. C₂×#518	C₂×D₄	semidirect
458. #2911	C₂×D₄	semidirect
459. C₂×#423	C₂×D₄	semidirect
464. C₂×#421	C₂×D₄	semidirect
465. C₂²×#104	C₂×D₄	semidirect
466. C₂²×#104	C₂×D₄	semidirect
469. #2896	C₂×D₄	semidirect
470. C₂×#417	C₂×D₄	semidirect
473. C₂×#419	C₂×D₄	semidirect
476. C₂×#418	C₂×D₄	semidirect
477. C₂×#418	C₂×D₄	semidirect
478. C₂×#418	C₂×D₄	semidirect
479. C₂×#418	C₂×D₄	semidirect
480. C₂²×#102	C₂×D₄	semidirect
481. C₂²×#101	C₂×D₄	semidirect
482. C₂²×#100	C₂×D₄	semidirect
483. C₂²×#100	C₂×D₄	semidirect
484. #2879	C₂×D₄	semidirect
490. #2873	C₂×D₄	semidirect
491. #2309	C₂×D₄	semidirect
492. #1742	C₂×D₄	semidirect
493. C₂×#343	C₂×D₄	semidirect
494. C₂×#341	C₂×D₄	semidirect
495. #1733	C₂×D₄	semidirect
499. C₂×2₋¹⁺⁴	#120	semidirect
500. C₂×H(5,𝔽₂)	#120	semidirect
577. C₂²×Q₁₆	#120	semidirect
578. C₂²×SD₁₆	#120	semidirect
579. C₂²×SD₁₆	#120	semidirect
580. C₂²×D₈	#120	semidirect
610. C₄×#41	#120	semidirect
633. #419	#120	semidirect
634. #418	#120	semidirect

Maximal subgroups

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

subgroup	index
#72252151	2
#72252150	2
#72252149	2
#72252148	2
#72252147	2
#72252146	2
#72252145	2
#72252144	2
#72252143	2
#72252142	2
#72252141	2
#72252140	2
#72252139	2
#72252138	2
#72252110	2
#72252105	2
C₂×#359681	2
C₂×#364625	2
C₂×#394131	2
#72251265	2
#72251128	2
#72250500	2
#72239651	2
#72238744	2
C₂×#6431743	2
#72237505	2
#72236744	2
C₂×#6437475	2
C₂×#10576108	2
C₂×#393975	2
C₂×#394102	2