Subgroups — #72255975

Order 2048.

At least 20807 conjugacy classes of subgroups; only the 2200 normal subgroups are shown.

The subgroup lattice has 1204 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72255966	C₂	1	1	yes	maximal, characteristic, complemented
2	#72255963	C₂	1	1	yes	maximal, characteristic, complemented
3	#72255959	C₂	1	1	yes	maximal, characteristic, complemented
4	#72255954	C₂	1	1	yes	maximal, characteristic, complemented
5	#72255951	C₂	1	1	yes	maximal, characteristic, complemented
6	#72250500	C₂	1	1	yes	maximal, characteristic, complemented
7	#72239651	C₂	1	1	yes	maximal, characteristic, complemented
8	#72238744	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#6437575	C₂	1	1	yes	maximal, characteristic, complemented
10	#72237518	C₂	1	1	yes	maximal, characteristic, complemented
11	#72237517	C₂	1	1	yes	maximal, characteristic, complemented
12	#72237516	C₂	1	1	yes	maximal, characteristic, complemented
13	#72237515	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#449491	C₂	1	1	yes	maximal, characteristic, complemented
15	#72237513	C₂	1	1	yes	maximal, characteristic, complemented
16	#72237512	C₂	1	1	yes	maximal, characteristic, complemented
17	#72237511	C₂	1	1	yes	maximal, characteristic, complemented
18	#72237510	C₂	1	1	yes	maximal, characteristic, complemented
19	#72237509	C₂	1	1	yes	maximal, characteristic, complemented
20	#72237508	C₂	1	1	yes	maximal, characteristic, complemented
21	#72237507	C₂	1	1	yes	maximal, characteristic, complemented
22	#72237506	C₂	1	1	yes	maximal, characteristic, complemented
23	#72237505	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237504	C₂	1	1	yes	maximal, characteristic, complemented
25	#72237503	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#6437593	C₂	1	1	yes	maximal, characteristic, complemented
27	#72236744	C₂	1	1	yes	maximal, characteristic, complemented
28	#72235994	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#449496	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#10574840	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#6628867	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂×#63090	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#3585	C₂²	1	1	yes	characteristic
35	C₂²×#3585	C₂²	1	1	yes	characteristic
36	C₂×#62811	C₂²	1	1	yes	characteristic
37	C₂²×#3025	C₂²	1	1	yes	characteristic, complemented
38	#10574839	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60369	C₂²	1	1	yes	characteristic, complemented
40	C₂×#60367	C₂²	1	1	yes	characteristic
41	C₂×#60367	C₂²	1	1	yes	characteristic
42	C₂×#60367	C₂²	1	1	yes	characteristic
43	C₂×#60367	C₂²	1	1	yes	characteristic
44	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
45	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
46	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
47	C₂×#60367	C₂²	1	1	yes	characteristic, complemented
48	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
49	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
50	C₂×#60359	C₂²	1	1	yes	characteristic
51	C₂×#60359	C₂²	1	1	yes	characteristic
52	C₂×#60359	C₂²	1	1	yes	characteristic
53	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
54	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
55	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
56	C₂²×#3019	C₂²	1	1	yes	characteristic
57	C₂²×#3019	C₂²	1	1	yes	characteristic
58	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#3003	C₂²	1	1	yes	characteristic
61	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
63	C₂×#60064	C₂²	1	1	yes	characteristic, complemented
64	C₂×#60087	C₂²	1	1	yes	characteristic, complemented
65	C₂×#60087	C₂²	1	1	yes	characteristic, complemented
66	#7628649	C₂²	1	1	yes	characteristic, complemented
67	C₂×#35222	C₂²	1	1	yes	characteristic, complemented
68	#6431784	C₂²	1	1	yes	characteristic, complemented
69	C₂×#23439	C₂²	1	1	yes	characteristic, complemented
70	C₂×#23439	C₂²	1	1	yes	characteristic, complemented
71	C₂×#23434	C₂²	1	1	yes	characteristic, complemented
72	#6431764	C₂²	1	1	yes	characteristic, complemented
73	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
74	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
75	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
76	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
77	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
79	#6431733	C₂²	1	1	yes	characteristic, complemented
80	C₂×#21009	C₂²	1	1	yes	characteristic, complemented
81	#6371536	C₂²	1	1	yes	characteristic, complemented
82	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
85	C₂×#20995	C₂²	1	1	yes	characteristic, complemented
86	C₂²×#1903	C₂²	1	1	yes	characteristic, complemented
87	C₂²×#1891	C₂²	1	1	yes	characteristic, complemented
88	C₂×#20939	C₂²	1	1	yes	characteristic, complemented
89	C₂×#20939	C₂²	1	1	yes	characteristic, complemented
90	#6371397	C₂²	1	1	yes	characteristic, complemented
91	#6371397	C₂²	1	1	yes	characteristic, complemented
92	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
93	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
94	#6370746	C₂²	1	1	yes	characteristic, complemented
95	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
96	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
97	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
98	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
99	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
100	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
101	#6370719	C₂²	1	1	yes	characteristic, complemented
102	#6370719	C₂²	1	1	yes	characteristic, complemented
103	#6370719	C₂²	1	1	yes	characteristic, complemented
104	#6370719	C₂²	1	1	yes	characteristic, complemented
105	#6370715	C₂²	1	1	yes	characteristic, complemented
106	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
107	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
108	#6370684	C₂²	1	1	yes	characteristic, complemented
109	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
110	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
112	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
114	C₂×#11034	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	#357577	C₂²	1	1	yes	characteristic, complemented
122	#357575	C₂²	1	1	yes	characteristic, complemented
123	#357575	C₂²	1	1	yes	characteristic, complemented
124	#357575	C₂²	1	1	yes	characteristic, complemented
125	#357571	C₂²	1	1	yes	characteristic, complemented
126	#357567	C₂²	1	1	yes	characteristic, complemented
127	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
128	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
129	#357564	C₂²	1	1	yes	characteristic, complemented
130	#357564	C₂²	1	1	yes	characteristic, complemented
131	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
132	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
133	C₂×#11012	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×#11003	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	#357546	C₂²	1	1	yes	characteristic, complemented
145	#357544	C₂²	1	1	yes	characteristic, complemented
146	#357541	C₂²	1	1	yes	characteristic, complemented
147	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
148	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
149	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
150	#357529	C₂²	1	1	yes	characteristic, complemented
151	C₂×#11006	C₂²	1	1	yes	characteristic, complemented
152	#357486	C₂²	1	1	yes	characteristic, complemented
153	#357475	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
155	#357470	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
157	C₂×#10787	C₂²	1	1	yes	characteristic, complemented
158	#353462	C₂²	1	1	yes	characteristic, complemented
159	C₂×#10793	C₂²	1	1	yes	characteristic, complemented
160	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
161	C₂×#10778	C₂²	1	1	yes	characteristic, complemented
162	#353352	C₂²	1	1	yes	characteristic, complemented
163	#123644	C₂²	1	1	yes	characteristic, complemented
164	#123628	C₂²	1	1	yes	characteristic, complemented
165	#123619	C₂²	1	1	yes	characteristic, complemented
166	#123619	C₂²	1	1	yes	characteristic, complemented
167	#123619	C₂²	1	1	yes	characteristic, complemented
168	#123619	C₂²	1	1	yes	characteristic, complemented
169	#123611	C₂²	1	1	yes	characteristic, complemented
170	#123604	C₂²	1	1	yes	characteristic, complemented
171	#123604	C₂²	1	1	yes	characteristic, complemented
172	#123602	C₂²	1	1	yes	characteristic, complemented
173	#123600	C₂²	1	1	yes	characteristic, complemented
174	#123569	C₂²	1	1	yes	characteristic, complemented
175	#123568	C₂²	1	1	yes	characteristic, complemented
176	#123563	C₂²	1	1	yes	characteristic, complemented
177	#123563	C₂²	1	1	yes	characteristic, complemented
178	#123560	C₂²	1	1	yes	characteristic, complemented
179	#123556	C₂²	1	1	yes	characteristic, complemented
180	#123556	C₂²	1	1	yes	characteristic, complemented
181	#123554	C₂²	1	1	yes	characteristic, complemented
182	#123549	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123535	C₂²	1	1	yes	characteristic, complemented
185	#123532	C₂²	1	1	yes	characteristic, complemented
186	#123532	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
188	C₂²×#585	C₂³	1	1	yes	characteristic, complemented
189	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
190	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
191	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
192	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
193	C₂⁴×#41	C₂³	1	1	yes	characteristic
194	C₂⁴×#41	C₂³	1	1	yes	characteristic
195	C₂⁵×D₄	C₂³	1	1	yes	characteristic
196	C₂×#3585	D₄	1	8	yes	complemented
197	C₂²×#577	D₄	1	4	yes	complemented
198	C₂²×#576	D₄	1	4	yes	complemented
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	C₂²×#575	C₂³	1	1	yes	characteristic
203	C₂²×#575	C₂³	1	1	yes	characteristic
204	C₂²×#575	C₂³	1	1	yes	characteristic
205	C₂²×#575	C₂³	1	1	yes	characteristic
206	C₂²×#575	C₂³	1	1	yes	characteristic
207	C₂²×#575	C₂³	1	1	yes	characteristic
208	C₂²×#575	C₂³	1	1	yes	characteristic
209	C₂²×#575	C₂³	1	1	yes	characteristic, complemented
210	C₂²×#575	C₂³	1	1	yes	characteristic, complemented
211	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
212	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
213	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
214	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
215	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
216	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
217	C₂²×#568	C₂³	1	1	yes	characteristic
218	C₂²×#568	C₂³	1	1	yes	characteristic
219	C₂²×#568	C₂³	1	1	yes	characteristic, complemented
220	#62811	D₄	1	8	yes	complemented
221	C₂×#3449	C₂³	1	1	yes	characteristic
222	C₂×#3449	C₂³	1	1	yes	characteristic
223	C₂×#3449	C₂³	1	1	yes	characteristic
224	C₂×#3449	C₂³	1	1	yes	characteristic
225	C₂²×#535	C₂³	1	1	yes	characteristic
226	C₂²×#535	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	C₂²×#525	C₂³	1	1	yes	characteristic
231	C₂×#3428	C₂³	1	1	yes	characteristic
232	C₂×#3019	D₄	1	8	yes	complemented
233	C₂²×#455	D₄	1	4	yes	complemented
234	C₂²×#453	D₄	1	4	yes	complemented
235	#60367	D₄	1	8	yes	complemented
236	C₂×#3012	D₄	1	8	yes	complemented
237	C₂×#3009	D₄	1	4	yes	complemented
238	C₂×#3009	D₄	1	4	yes	complemented
239	C₂×#3008	D₄	1	4	yes	complemented
240	C₂×#3008	D₄	1	4	yes	complemented
241	#60359	D₄	1	8	yes	complemented
242	C₂×#3005	D₄	1	2	yes	complemented
243	C₂×#3005	D₄	1	2	yes	complemented
244	C₂×#3005	D₄	1	2	yes	complemented
245	C₂×#3005	D₄	1	2	yes	complemented
246	C₂×#3004	D₄	1	2	yes	complemented
247	C₂×#3004	D₄	1	2	yes	complemented
248	C₂×#3003	D₄	1	2	yes	complemented
249	C₂×#3003	D₄	1	8	yes	complemented
250	C₂×#3003	D₄	1	2	yes	complemented
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, complemented
260	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
261	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
262	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
263	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
264	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
265	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
266	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
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	C₂×#2896	C₂³	1	1	yes	characteristic
278	C₂×#2896	C₂³	1	1	yes	characteristic
279	C₂×#2896	C₂³	1	1	yes	characteristic
280	C₂×#2896	C₂³	1	1	yes	characteristic
281	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
282	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
283	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
284	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
285	C₂²×#418	C₂³	1	1	yes	characteristic
286	C₂²×#418	C₂³	1	1	yes	characteristic
287	C₂²×#418	C₂³	1	1	yes	characteristic
288	C₂²×#418	C₂³	1	1	yes	characteristic
289	C₂²×#418	C₂³	1	1	yes	characteristic
290	C₂²×#418	C₂³	1	1	yes	characteristic
291	C₂²×#418	C₂³	1	1	yes	characteristic
292	C₂²×#418	C₂³	1	1	yes	characteristic
293	C₂²×#418	C₂³	1	1	yes	characteristic
294	C₂²×#418	C₂³	1	1	yes	characteristic
295	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
296	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
297	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
298	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
299	C₂³×#100	C₂³	1	1	yes	characteristic
300	C₂³×#100	C₂³	1	1	yes	characteristic
301	C₂³×#100	C₂³	1	1	yes	characteristic
302	C₂³×#100	C₂³	1	1	yes	characteristic
303	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
304	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
305	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
306	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
307	C₂×#2879	C₂³	1	1	yes	characteristic
308	C₂×#2879	C₂³	1	1	yes	characteristic
309	C₂×#2879	C₂³	1	1	yes	characteristic
310	C₂×#2879	C₂³	1	1	yes	characteristic
311	C₂×#2879	C₂³	1	1	yes	characteristic
312	C₂×#2879	C₂³	1	1	yes	characteristic
313	C₂×#2879	C₂³	1	1	yes	characteristic, complemented
314	C₂×#2879	C₂³	1	1	yes	characteristic, complemented
315	C₂×#2879	C₂³	1	1	yes	characteristic, complemented
316	C₂²×#407	C₂³	1	1	yes	characteristic
317	C₂²×#407	C₂³	1	1	yes	characteristic
318	C₂²×#407	C₂³	1	1	yes	characteristic
319	C₂²×#407	C₂³	1	1	yes	characteristic
320	C₂²×#407	C₂³	1	1	yes	characteristic
321	C₂²×#407	C₂³	1	1	yes	characteristic
322	#34044	C₂³	1	1	yes	characteristic
323	#34044	C₂³	1	1	yes	characteristic
324	#34044	C₂³	1	1	yes	characteristic, complemented
325	C₂×#2309	C₂³	1	1	yes	characteristic
326	C₂×#2309	C₂³	1	1	yes	characteristic
327	C₂×#2280	C₂³	1	1	yes	characteristic
328	C₂×#2280	C₂³	1	1	yes	characteristic
329	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
330	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
331	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
332	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
333	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
334	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
335	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
336	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
337	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
338	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
339	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
340	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
341	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
342	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
343	C₂×#1740	C₂³	1	1	yes	characteristic, complemented
344	C₂×#1740	C₂³	1	1	yes	characteristic, complemented
345	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
346	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
347	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
348	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
349	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
350	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
351	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
352	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
353	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
354	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
355	C₂²×#338	C₂³	1	1	yes	characteristic, complemented
356	C₂²×#338	C₂³	1	1	yes	characteristic, complemented
357	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
358	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
359	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
360	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
361	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
362	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
363	#20335	C₂³	1	1	yes	characteristic, complemented
364	#20335	C₂³	1	1	yes	characteristic, complemented
365	C₂×#585	C₂×D₄	1	4	yes	—
366	C₂×#585	C₂×D₄	1	4	yes	—
367	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
368	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
369	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
370	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
371	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
372	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
373	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
374	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
375	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
376	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
377	C₂³×#41	C₂×D₄	1	4	yes	—
378	C₂³×#41	C₂×D₄	1	4	yes	—
379	C₂³×#41	C₂×D₄	1	1	yes	characteristic
380	C₂³×#41	C₂×D₄	1	1	yes	characteristic
381	C₂³×#41	C₂×D₄	1	1	yes	characteristic
382	C₂³×#41	C₂×D₄	1	1	yes	characteristic
383	C₂³×#41	C₂⁴	1	1	yes	characteristic
384	C₂³×#41	C₂⁴	1	1	yes	characteristic
385	C₂³×#41	C₂⁴	1	1	yes	characteristic
386	C₂³×#41	C₂⁴	1	1	yes	characteristic
387	C₂³×#41	C₂⁴	1	1	yes	characteristic
388	C₂³×#41	C₂⁴	1	1	yes	characteristic
389	C₂³×#41	C₂⁴	1	1	yes	characteristic
390	C₂³×#41	C₂⁴	1	1	yes	characteristic
391	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
392	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
393	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
394	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
395	C₂⁴×D₄	C₂×D₄	1	4	yes	—
396	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
397	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
398	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
399	C₂×#575	C₂×D₄	1	4	yes	—
400	C₂×#575	C₂×D₄	1	4	yes	—
401	C₂×#575	C₂×D₄	1	4	yes	—
402	C₂×#575	C₂×D₄	1	4	yes	—
403	C₂×#575	C₂×D₄	1	4	yes	—
404	C₂×#575	C₂×D₄	1	4	yes	—
405	C₂×#575	C₂×D₄	1	4	yes	complemented
406	C₂²×#137	C₂×D₄	1	2	yes	—
407	C₂²×#137	C₂×D₄	1	2	yes	—
408	C₂²×#137	C₂×D₄	1	2	yes	—
409	C₂²×#137	C₂×D₄	1	2	yes	—
410	C₂²×#137	C₂×D₄	1	2	yes	—
411	C₂²×#137	C₂×D₄	1	2	yes	—
412	C₂²×#137	C₂×D₄	1	2	yes	—
413	C₂²×#137	C₂×D₄	1	2	yes	—
414	C₂²×#137	C₂×D₄	1	2	yes	complemented
415	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
416	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
417	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
418	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
419	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
420	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
421	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
422	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
423	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
424	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
425	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
426	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
427	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
428	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
429	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
430	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
431	C₂²×#135	C₂×D₄	1	4	yes	—
432	C₂²×#135	C₂×D₄	1	4	yes	—
433	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
434	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
435	C₂³×SD₁₆	C₂×D₄	1	2	yes	complemented
436	C₂³×D₈	C₂×D₄	1	2	yes	—
437	C₂³×D₈	C₂×D₄	1	2	yes	—
438	C₂³×D₈	C₂×D₄	1	2	yes	complemented
439	C₂×#568	C₂×D₄	1	4	yes	—
440	C₂²×#131	C₂×D₄	1	4	yes	—
441	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
442	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
443	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
444	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
445	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
446	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
447	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
448	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
449	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
450	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
451	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
452	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
453	#3449	C₂×D₄	1	4	yes	—
454	#3449	C₂×D₄	1	4	yes	—
455	#3449	C₂×D₄	1	4	yes	—
456	C₂×#537	C₂×D₄	1	4	yes	complemented
457	C₂×#536	C₂×D₄	1	2	yes	—
458	C₂×#536	C₂×D₄	1	2	yes	complemented
459	C₂×#535	C₂×D₄	1	2	yes	—
460	C₂×#535	C₂×D₄	1	4	yes	complemented
461	C₂×#535	C₂×D₄	1	2	yes	complemented
462	C₂²×#127	C₂×D₄	1	2	yes	complemented
463	C₂²×#124	C₂×D₄	1	2	yes	complemented
464	C₂×#525	C₂×D₄	1	4	yes	—
465	C₂×#525	C₂×D₄	1	2	yes	—
466	C₂×#525	C₂×D₄	1	2	yes	—
467	C₂×#525	C₂×D₄	1	4	yes	—
468	C₂×#525	C₂×D₄	1	4	yes	—
469	C₂×#525	C₂×D₄	1	4	yes	—
470	C₂×#525	C₂×D₄	1	2	yes	—
471	C₂×#525	C₂×D₄	1	2	yes	—
472	#3428	C₂×D₄	1	4	yes	—
473	C₂²×#117	C₂⁴	1	1	yes	characteristic
474	C₂²×#117	C₂⁴	1	1	yes	characteristic
475	C₂²×#117	C₂⁴	1	1	yes	characteristic
476	C₂²×#117	C₂⁴	1	1	yes	characteristic
477	C₂²×#117	C₂⁴	1	1	yes	characteristic
478	C₂²×#117	C₂⁴	1	1	yes	characteristic
479	C₂²×#117	C₂⁴	1	1	yes	characteristic
480	C₂²×#117	C₂⁴	1	1	yes	characteristic
481	C₂×#421	C₂×D₄	1	4	yes	—
482	C₂×#421	C₂×D₄	1	4	yes	complemented
483	C₂²×#104	C₂×D₄	1	4	yes	—
484	C₂²×#104	C₂×D₄	1	4	yes	complemented
485	#2896	C₂×D₄	1	4	yes	—
486	#2896	C₂×D₄	1	4	yes	—
487	#2896	C₂×D₄	1	4	yes	—
488	C₂×#417	C₂×D₄	1	4	yes	—
489	C₂×#419	C₂×D₄	1	2	yes	—
490	C₂×#419	C₂×D₄	1	2	yes	—
491	C₂×#419	C₂×D₄	1	2	yes	—
492	C₂×#419	C₂×D₄	1	2	yes	—
493	C₂×#418	C₂×D₄	1	2	yes	—
494	C₂×#418	C₂×D₄	1	4	yes	—
495	C₂×#418	C₂×D₄	1	2	yes	—
496	C₂×#418	C₂×D₄	1	4	yes	—
497	C₂×#418	C₂×D₄	1	2	yes	—
498	C₂×#418	C₂×D₄	1	4	yes	—
499	C₂×#418	C₂×D₄	1	4	yes	—
500	C₂×#418	C₂×D₄	1	2	yes	—
501	C₂×#418	C₂×D₄	1	4	yes	complemented
502	C₂×#416	C₂×D₄	1	4	yes	—
503	C₂×#416	C₂×D₄	1	4	yes	—
504	C₂²×#102	C₂×D₄	1	4	yes	complemented
505	C₂²×#100	C₂×D₄	1	4	yes	complemented
506	C₂²×#100	C₂×D₄	1	4	yes	complemented
507	#2879	C₂×D₄	1	4	yes	—
508	C₂×#408	C₂×D₄	1	4	yes	—
509	C₂×#408	C₂×D₄	1	4	yes	complemented
510	C₂×#408	C₂×D₄	1	4	yes	complemented
511	C₂×#407	C₂×D₄	1	2	yes	—
512	C₂×#407	C₂×D₄	1	2	yes	—
513	C₂×#407	C₂×D₄	1	4	yes	—
514	C₂×#407	C₂×D₄	1	2	yes	—
515	C₂×#407	C₂×D₄	1	2	yes	—
516	C₂×#407	C₂×D₄	1	4	yes	—
517	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
518	C₂×2₋¹⁺⁴	#120	1	8	yes	complemented
519	C₂×H(5,𝔽₂)	#120	1	16	yes	—
520	C₂×H(5,𝔽₂)	#120	1	16	yes	—
521	C₂×H(5,𝔽₂)	#120	1	8	yes	complemented
522	C₂²×#41	#120	1	4	yes	—
523	C₂²×#41	#120	1	4	yes	—
524	C₂²×#41	C₂²×D₄	1	2	yes	—
525	C₂²×#41	C₂²×D₄	1	2	yes	—
526	C₂²×#41	C₂²×D₄	1	2	yes	—
527	C₂²×#41	C₂²×D₄	1	2	yes	—
528	C₂²×#41	C₂²×D₄	1	2	yes	—
529	C₂²×#41	C₂²×D₄	1	2	yes	—
530	C₂²×#41	C₂²×D₄	1	2	yes	—
531	C₂²×#41	C₂²×D₄	1	2	yes	—
532	C₂²×#41	C₂²×D₄	1	2	yes	—
533	C₂²×#41	C₂²×D₄	1	2	yes	—
534	C₂²×#41	C₂²×D₄	1	2	yes	—
535	C₂²×#41	C₂²×D₄	1	2	yes	—
536	C₂²×#41	C₂²×D₄	1	2	yes	—
537	C₂²×#41	C₂²×D₄	1	2	yes	—
538	C₂²×#41	C₂²×D₄	1	2	yes	—
539	C₂²×#41	C₂²×D₄	1	2	yes	—
540	C₂²×#41	C₂²×D₄	1	2	yes	—
541	C₂²×#41	C₂²×D₄	1	2	yes	—
542	C₂²×#41	C₂²×D₄	1	2	yes	—
543	C₂²×#41	C₂²×D₄	1	2	yes	—
544	C₂²×#41	C₂²×D₄	1	2	yes	—
545	C₂²×#41	C₂²×D₄	1	2	yes	—
546	C₂²×#41	C₂²×D₄	1	2	yes	—
547	C₂²×#41	C₂²×D₄	1	2	yes	—
548	C₂²×#41	C₂²×D₄	1	2	yes	—
549	C₂²×#41	C₂²×D₄	1	2	yes	—
550	C₂²×#41	C₂²×D₄	1	2	yes	—
551	C₂²×#41	C₂²×D₄	1	2	yes	—
552	C₂²×#41	C₂²×D₄	1	2	yes	—
553	C₂²×#41	C₂²×D₄	1	2	yes	—
554	C₂²×#41	C₂²×D₄	1	2	yes	—
555	C₂²×#41	C₂²×D₄	1	2	yes	—
556	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
557	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
558	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
559	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
560	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
561	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
562	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
563	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
564	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
565	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
566	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
567	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
568	C₂³×Q₈	#120	1	4	yes	—
569	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
570	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
571	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
572	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
573	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
574	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
575	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
576	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
577	C₂³×D₄	#120	1	4	yes	—
578	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
579	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
580	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
581	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
582	C₂³×D₄	C₂²×D₄	1	2	yes	—
583	C₂³×D₄	C₂²×D₄	1	2	yes	—
584	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
585	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
586	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
587	C₂³×D₄	C₂²×D₄	1	2	yes	—
588	C₂³×D₄	C₂²×D₄	1	2	yes	—
589	C₂³×D₄	C₂²×D₄	1	2	yes	—
590	C₂³×D₄	C₂²×D₄	1	2	yes	—
591	C₂³×D₄	C₂²×D₄	1	2	yes	—
592	C₂³×D₄	C₂²×D₄	1	2	yes	—
593	C₂³×D₄	C₂²×D₄	1	2	yes	—
594	C₂³×D₄	C₂²×D₄	1	2	yes	—
595	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
596	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
597	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
598	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
599	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
600	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
601	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
602	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
603	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
604	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
605	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
606	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
607	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
608	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
609	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
610	C₂×#137	#120	1	8	yes	complemented
611	C₂×#137	#120	1	8	yes	complemented
612	C₂×AGL(1,ℤ/8)	#120	1	8	yes	complemented
613	C₂×AGL(1,ℤ/8)	#120	1	8	yes	complemented
614	C₂×AGL(1,ℤ/8)	#120	1	16	yes	complemented
615	C₂²×Q₁₆	#120	1	4	yes	complemented
616	C₂²×Q₁₆	#120	1	4	yes	complemented
617	C₂²×SD₁₆	#120	1	4	yes	complemented
618	C₂²×SD₁₆	#120	1	4	yes	complemented
619	C₂²×SD₁₆	#120	1	4	yes	complemented
620	C₂²×SD₁₆	#120	1	8	yes	complemented
621	C₂²×SD₁₆	#120	1	4	yes	complemented
622	C₂²×D₈	#120	1	4	yes	complemented
623	C₂²×D₈	#120	1	4	yes	complemented
624	C₂²×D₈	#120	1	8	yes	complemented
625	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
626	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
627	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
628	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
629	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
630	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
631	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
632	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
633	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
634	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
635	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
636	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
637	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
638	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
639	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
640	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
641	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
642	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
643	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
644	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
645	C₂³×C₈	C₂²×D₄	1	2	yes	—
646	C₂³×C₈	C₂²×D₄	1	2	yes	—
647	C₂³×C₈	C₂²×D₄	1	2	yes	—
648	C₂³×C₈	C₂²×D₄	1	2	yes	—
649	#536	#120	1	8	yes	complemented
650	#535	#120	1	8	yes	complemented
651	#525	#120	1	8	yes	—
652	#525	#120	1	8	yes	—
653	C₂×#117	C₂²×D₄	1	2	yes	—
654	C₂×#117	C₂²×D₄	1	2	yes	—
655	C₂×#117	C₂²×D₄	1	2	yes	—
656	C₂×#117	C₂²×D₄	1	2	yes	—
657	C₂×#117	C₂²×D₄	1	2	yes	—
658	C₂×#117	C₂²×D₄	1	2	yes	—
659	C₂×#117	C₂²×D₄	1	2	yes	—
660	C₂×#117	C₂²×D₄	1	2	yes	—
661	C₂×#117	C₂²×D₄	1	2	yes	—
662	C₂×#117	C₂²×D₄	1	2	yes	—
663	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
664	C₂²×C₄²	C₂²×D₄	1	2	yes	—
665	C₂⁵	#534	1	2	yes	—
666	C₂⁵	D₄²	1	1	yes	characteristic
667	C₂⁵	D₄²	1	1	yes	characteristic
668	C₂⁵	D₄²	1	2	yes	—
669	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
670	C₂×#41	C₂×#120	1	4	yes	—
671	C₂×#41	C₂×#120	1	4	yes	—
672	C₂×#41	C₂×#120	1	4	yes	—
673	C₂×#41	C₂×#120	1	4	yes	—
674	C₂×#41	C₂×#120	1	4	yes	—
675	C₂×#41	C₂×#120	1	4	yes	—
676	C₂×#41	C₂×#120	1	4	yes	—
677	C₂×#41	C₂×#120	1	4	yes	—
678	C₂×#41	C₂×#120	1	4	yes	—
679	C₂×#41	C₂×#120	1	4	yes	—
680	C₂×#41	C₂×#120	1	4	yes	—
681	C₂×#41	#534	1	4	yes	—
682	C₂×#41	#534	1	4	yes	—
683	C₂×#41	#534	1	4	yes	—
684	C₂×#41	#534	1	4	yes	—
685	C₂×#41	#534	1	4	yes	—
686	C₂×#41	#534	1	4	yes	—
687	C₂×#41	#534	1	4	yes	—
688	C₂×#41	#534	1	4	yes	—
689	C₂×#41	#534	1	4	yes	—
690	C₂×#41	#534	1	4	yes	—
691	C₂×#41	#534	1	4	yes	—
692	C₂×#41	D₄²	1	4	yes	—
693	C₂×#41	D₄²	1	4	yes	—
694	C₂×#41	D₄²	1	4	yes	—
695	C₂×#41	D₄²	1	4	yes	—
696	C₂×#41	D₄²	1	4	yes	—
697	C₂×#41	D₄²	1	4	yes	—
698	C₂×#41	D₄²	1	4	yes	—
699	C₂×#41	D₄²	1	4	yes	—
700	C₂×#41	D₄²	1	4	yes	—
701	C₂×#41	D₄²	1	4	yes	—
702	C₂×#41	D₄²	1	4	yes	—
703	C₂×#41	D₄²	1	4	yes	—
704	C₂×#41	D₄²	1	4	yes	—
705	C₂×#41	D₄²	1	4	yes	—
706	C₂×#41	D₄²	1	4	yes	—
707	C₂×#41	D₄²	1	4	yes	—
708	C₂×#41	D₄²	1	4	yes	—
709	C₂×#41	D₄²	1	4	yes	—
710	C₂×#41	D₄²	1	4	yes	—
711	C₂×#41	D₄²	1	4	yes	—
712	C₂×#41	H(3,𝔽₄)	1	4	yes	—
713	C₂×#41	H(3,𝔽₄)	1	4	yes	—
714	C₂²×Q₈	C₂×#120	1	2	yes	—
715	C₂²×Q₈	C₂×#120	1	2	yes	—
716	C₂²×Q₈	C₂×#120	1	2	yes	—
717	C₂²×Q₈	C₂×#120	1	2	yes	—
718	C₂²×Q₈	C₂×#120	1	2	yes	—
719	C₂²×Q₈	C₂×#120	1	2	yes	—
720	C₂²×Q₈	C₂×#120	1	2	yes	—
721	C₂²×Q₈	C₂×#120	1	2	yes	—
722	C₂²×Q₈	C₂×#120	1	2	yes	—
723	C₂²×Q₈	C₂×#120	1	2	yes	—
724	C₂²×Q₈	C₂×#120	1	2	yes	—
725	C₂²×Q₈	#534	1	2	yes	—
726	C₂²×Q₈	D₄²	1	2	yes	—
727	C₂²×Q₈	D₄²	1	2	yes	—
728	C₂²×Q₈	D₄²	1	2	yes	—
729	C₂²×Q₈	D₄²	1	2	yes	—
730	C₂²×Q₈	D₄²	1	2	yes	—
731	C₂²×Q₈	D₄²	1	2	yes	—
732	C₂²×Q₈	D₄²	1	2	yes	—
733	C₂²×Q₈	D₄²	1	2	yes	—
734	C₂²×Q₈	D₄²	1	2	yes	—
735	C₂²×Q₈	D₄²	1	2	yes	—
736	C₂²×D₄	C₂×#120	1	2	yes	—
737	C₂²×D₄	C₂×#120	1	2	yes	—
738	C₂²×D₄	C₂×#120	1	2	yes	—
739	C₂²×D₄	C₂×#120	1	2	yes	—
740	C₂²×D₄	C₂×#120	1	2	yes	—
741	C₂²×D₄	C₂×#120	1	2	yes	—
742	C₂²×D₄	C₂×#120	1	4	yes	—
743	C₂²×D₄	C₂×#120	1	2	yes	—
744	C₂²×D₄	C₂×#120	1	4	yes	—
745	C₂²×D₄	C₂×#120	1	2	yes	—
746	C₂²×D₄	C₂×#120	1	4	yes	—
747	C₂²×D₄	C₂×#120	1	4	yes	—
748	C₂²×D₄	C₂×#120	1	2	yes	—
749	C₂²×D₄	C₂×#120	1	2	yes	—
750	C₂²×D₄	C₂×#120	1	2	yes	—
751	C₂²×D₄	#534	1	4	yes	—
752	C₂²×D₄	#534	1	4	yes	—
753	C₂²×D₄	#534	1	2	yes	—
754	C₂²×D₄	D₄²	1	2	yes	—
755	C₂²×D₄	D₄²	1	4	yes	—
756	C₂²×D₄	D₄²	1	2	yes	—
757	C₂²×D₄	D₄²	1	4	yes	—
758	C₂²×D₄	D₄²	1	2	yes	—
759	C₂²×D₄	D₄²	1	4	yes	—
760	C₂²×D₄	D₄²	1	4	yes	—
761	C₂²×D₄	D₄²	1	2	yes	—
762	C₂²×D₄	D₄²	1	4	yes	—
763	C₂²×D₄	D₄²	1	2	yes	—
764	C₂²×D₄	D₄²	1	4	yes	—
765	C₂²×D₄	D₄²	1	2	yes	—
766	C₂²×D₄	D₄²	1	4	yes	—
767	C₂²×D₄	D₄²	1	4	yes	—
768	C₂²×D₄	D₄²	1	2	yes	—
769	C₂²×D₄	D₄²	1	2	yes	—
770	C₂²×D₄	D₄²	1	2	yes	—
771	C₂²×D₄	D₄²	1	2	yes	—
772	C₂³×C₄	C₂×#120	1	2	yes	—
773	C₂³×C₄	C₂×#120	1	2	yes	—
774	C₂³×C₄	C₂×#120	1	2	yes	—
775	C₂³×C₄	C₂×#120	1	2	yes	—
776	C₂³×C₄	#534	1	2	yes	—
777	C₂³×C₄	D₄²	1	1	yes	characteristic
778	C₂³×C₄	D₄²	1	1	yes	characteristic
779	C₂³×C₄	D₄²	1	2	yes	—
780	C₂³×C₄	D₄²	1	2	yes	—
781	C₂³×C₄	D₄²	1	2	yes	—
782	C₂³×C₄	D₄²	1	2	yes	—
783	C₂³×C₄	D₄²	1	2	yes	—
784	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
785	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
786	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
787	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
788	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
789	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
790	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
791	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
792	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
793	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
794	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
795	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
796	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
797	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
798	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
799	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
800	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
801	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
802	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
803	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
804	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
805	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
806	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
807	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
808	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
809	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
810	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
811	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
812	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
813	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
814	C₂×M₁₆	C₂×#120	1	4	yes	—
815	C₂×M₁₆	C₂×#120	1	4	yes	—
816	C₂×M₁₆	C₂×#120	1	4	yes	—
817	C₂²×C₈	C₂×#120	1	4	yes	—
818	C₂²×C₈	C₂×#120	1	4	yes	—
819	C₂²×C₈	C₂×#120	1	4	yes	—
820	#117	C₂×#120	1	4	yes	—
821	#117	C₂×#120	1	4	yes	—
822	C₂⁴	#2403	1	2	yes	—
823	C₂⁴	#2403	1	2	yes	—
824	C₂⁴	C₂×#534	1	1	yes	characteristic
825	C₂⁴	C₂×D₄²	1	1	yes	characteristic
826	C₂⁴	C₂×D₄²	1	1	yes	characteristic
827	C₂⁴	#3484	1	1	yes	characteristic
828	C₂⁴	#3484	1	1	yes	characteristic
829	C₂⁴	#3484	1	1	yes	characteristic
830	C₂⁴	#3484	1	1	yes	characteristic
831	C₂⁴	#3484	1	1	yes	characteristic
832	C₂⁴	#3484	1	1	yes	characteristic
833	C₂⁴	#3484	1	1	yes	characteristic
834	C₂⁴	#3484	1	1	yes	characteristic
835	C₂⁴	#3532	1	1	yes	characteristic
836	C₂⁴	#3532	1	1	yes	characteristic
837	C₂⁴	#3532	1	1	yes	characteristic
838	C₂⁴	#3532	1	1	yes	characteristic
839	#41	#2403	1	8	yes	—
840	#41	#2403	1	8	yes	—
841	#41	#2403	1	8	yes	—
842	#41	#2403	1	8	yes	—
843	#41	#2679	1	8	yes	—
844	#41	#2679	1	8	yes	—
845	#41	#2679	1	8	yes	—
846	#41	#2679	1	8	yes	—
847	C₂×Q₈	#2403	1	4	yes	—
848	C₂×Q₈	#2403	1	4	yes	—
849	C₂×Q₈	#2403	1	4	yes	—
850	C₂×Q₈	#2403	1	4	yes	—
851	C₂×Q₈	#2403	1	4	yes	—
852	C₂×Q₈	#2403	1	4	yes	—
853	C₂×Q₈	#2403	1	4	yes	—
854	C₂×Q₈	#2403	1	4	yes	—
855	C₂×Q₈	#2679	1	4	yes	—
856	C₂×Q₈	#2679	1	4	yes	—
857	C₂×Q₈	#2846	1	4	yes	—
858	C₂×D₄	#2403	1	4	yes	—
859	C₂×D₄	#2403	1	4	yes	—
860	C₂×D₄	#2403	1	8	yes	—
861	C₂×D₄	#2403	1	8	yes	—
862	C₂×D₄	#2403	1	4	yes	—
863	C₂×D₄	#2403	1	4	yes	—
864	C₂×D₄	#2403	1	4	yes	—
865	C₂×D₄	#2403	1	4	yes	—
866	C₂×D₄	#2403	1	4	yes	—
867	C₂×D₄	#2403	1	4	yes	—
868	C₂×D₄	#2679	1	4	yes	—
869	C₂×D₄	#2679	1	4	yes	—
870	C₂×D₄	#2846	1	4	yes	—
871	C₂²×C₄	#2403	1	2	yes	—
872	C₂²×C₄	#2403	1	2	yes	—
873	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
874	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
875	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
876	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
877	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
878	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
879	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
880	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
881	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
882	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
883	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
884	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
885	C₂²×C₄	C₂×#534	1	1	yes	characteristic
886	C₂²×C₄	C₂×#534	1	1	yes	characteristic
887	C₂²×C₄	C₂×#534	1	1	yes	characteristic
888	C₂²×C₄	C₂×#534	1	1	yes	characteristic
889	C₂²×C₄	C₂×#534	1	1	yes	characteristic
890	C₂²×C₄	C₂×#534	1	1	yes	characteristic
891	C₂²×C₄	C₂×#534	1	1	yes	characteristic
892	C₂²×C₄	C₂×#534	1	1	yes	characteristic
893	C₂²×C₄	C₂×#534	1	1	yes	characteristic
894	C₂²×C₄	C₂×#534	1	1	yes	characteristic
895	C₂²×C₄	C₂×#534	1	1	yes	characteristic
896	C₂²×C₄	C₂×#534	1	1	yes	characteristic
897	C₂²×C₄	C₂×#534	1	1	yes	characteristic
898	C₂²×C₄	C₂×#534	1	1	yes	characteristic
899	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
900	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
901	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
902	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
903	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
904	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
905	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
906	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
907	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
908	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
909	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
910	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
911	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
912	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
913	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
914	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
915	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
917	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
918	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
919	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
920	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
921	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
922	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
924	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
925	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
926	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
927	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
928	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
929	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
930	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
931	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
932	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
933	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
934	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
935	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
936	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
937	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
938	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
939	C₂²×C₄	#3484	1	1	yes	characteristic
940	C₂²×C₄	#3484	1	1	yes	characteristic
941	C₂²×C₄	#3484	1	1	yes	characteristic
942	C₂²×C₄	#3484	1	1	yes	characteristic
943	C₂²×C₄	#3484	1	1	yes	characteristic
944	C₂²×C₄	#3484	1	1	yes	characteristic
945	C₂²×C₄	#3484	1	1	yes	characteristic
946	C₂²×C₄	#3484	1	1	yes	characteristic
947	C₂²×C₄	#3484	1	1	yes	characteristic
948	C₂²×C₄	#3484	1	1	yes	characteristic
949	C₂²×C₄	#3484	1	1	yes	characteristic
950	C₂²×C₄	#3484	1	1	yes	characteristic
951	C₂²×C₄	#3484	1	1	yes	characteristic
952	C₂²×C₄	#3484	1	1	yes	characteristic
953	C₂²×C₄	#3484	1	1	yes	characteristic
954	C₂²×C₄	#3484	1	1	yes	characteristic
955	C₂²×C₄	#3484	1	1	yes	characteristic
956	C₂²×C₄	#3484	1	1	yes	characteristic
957	C₂²×C₄	#3484	1	1	yes	characteristic
958	C₂²×C₄	#3484	1	1	yes	characteristic
959	C₂²×C₄	#3484	1	1	yes	characteristic
960	C₂²×C₄	#3484	1	1	yes	characteristic
961	C₂²×C₄	#3484	1	1	yes	characteristic
962	C₂²×C₄	#3484	1	1	yes	characteristic
963	C₂²×C₄	#3484	1	1	yes	characteristic
964	C₂²×C₄	#3484	1	1	yes	characteristic
965	C₂²×C₄	#3484	1	1	yes	characteristic
966	C₂²×C₄	#3484	1	1	yes	characteristic
967	C₂²×C₄	#3484	1	1	yes	characteristic
968	C₂²×C₄	#3484	1	1	yes	characteristic
969	C₂²×C₄	#3484	1	1	yes	characteristic
970	C₂²×C₄	#3484	1	1	yes	characteristic
971	C₂²×C₄	#3484	1	1	yes	characteristic
972	C₂²×C₄	#3484	1	1	yes	characteristic
973	C₂²×C₄	#3484	1	1	yes	characteristic
974	C₂²×C₄	#3484	1	1	yes	characteristic
975	C₂²×C₄	#3484	1	1	yes	characteristic
976	C₂²×C₄	#3484	1	1	yes	characteristic
977	C₂²×C₄	#3484	1	1	yes	characteristic
978	C₂²×C₄	#3484	1	1	yes	characteristic
979	C₂²×C₄	#3484	1	1	yes	characteristic
980	C₂²×C₄	#3484	1	1	yes	characteristic
981	C₂²×C₄	#3484	1	1	yes	characteristic
982	C₂²×C₄	#3484	1	1	yes	characteristic
983	C₂²×C₄	#3484	1	1	yes	characteristic
984	C₂²×C₄	#3484	1	1	yes	characteristic
985	C₂²×C₄	#3484	1	1	yes	characteristic
986	C₂²×C₄	#3484	1	1	yes	characteristic
987	C₂²×C₄	#3484	1	1	yes	characteristic
988	C₂²×C₄	#3484	1	1	yes	characteristic
989	C₂²×C₄	#3484	1	1	yes	characteristic
990	C₂²×C₄	#3484	1	1	yes	characteristic
991	C₂²×C₄	C₂×H(3,𝔽₄)	1	1	yes	characteristic
992	C₂²×C₄	C₂×H(3,𝔽₄)	1	1	yes	characteristic
993	C₂²×C₄	#3532	1	1	yes	characteristic
994	C₂²×C₄	#3532	1	1	yes	characteristic
995	C₂²×C₄	#3532	1	1	yes	characteristic
996	C₂²×C₄	#3532	1	1	yes	characteristic
997	C₂²×C₄	#3532	1	1	yes	characteristic
998	C₂²×C₄	#3532	1	1	yes	characteristic
999	C₂²×C₄	#3532	1	1	yes	characteristic
1000	C₂²×C₄	#3532	1	1	yes	characteristic
1001	C₂²×C₄	#3532	1	1	yes	characteristic
1002	C₂²×C₄	#3532	1	1	yes	characteristic
1003	C₂²×C₄	#3532	1	1	yes	characteristic
1004	C₂²×C₄	#3532	1	1	yes	characteristic
1005	C₂²×C₄	#3532	1	1	yes	characteristic
1006	C₂²×C₄	#3532	1	1	yes	characteristic
1007	C₂²×C₄	#3532	1	1	yes	characteristic
1008	C₂²×C₄	#3532	1	1	yes	characteristic
1009	C₂²×C₄	#3532	1	1	yes	characteristic
1010	C₂²×C₄	#3532	1	1	yes	characteristic
1011	C₂²×C₄	#3532	1	1	yes	characteristic
1012	C₂²×C₄	#3532	1	1	yes	characteristic
1013	C₂³	C₂×#2403	1	1	yes	characteristic
1014	C₂³	#34980	1	1	yes	characteristic
1015	C₂³	#34980	1	1	yes	characteristic
1016	C₂³	#35346	1	1	yes	characteristic
1017	C₂³	#35346	1	1	yes	characteristic
1018	C₂³	D₄×#120	1	1	yes	characteristic
1019	C₂³	D₄×#120	1	1	yes	characteristic
1020	C₂³	D₄×#120	1	1	yes	characteristic
1021	C₂³	D₄×#120	1	1	yes	characteristic
1022	C₂³	D₄×#120	1	1	yes	characteristic
1023	C₂³	D₄×#120	1	1	yes	characteristic
1024	C₂³	#36714	1	1	yes	characteristic
1025	C₂³	#36714	1	1	yes	characteristic
1026	C₂³	#37644	1	1	yes	characteristic
1027	C₂³	#37644	1	1	yes	characteristic
1028	C₂³	#37644	1	1	yes	characteristic
1029	C₂³	#37644	1	1	yes	characteristic
1030	C₂³	#37644	1	1	yes	characteristic
1031	C₂³	#37644	1	1	yes	characteristic
1032	C₂³	#37644	1	1	yes	characteristic
1033	C₂³	#37644	1	1	yes	characteristic
1034	C₂³	#37644	1	1	yes	characteristic
1035	C₂³	#37644	1	1	yes	characteristic
1036	C₂³	#37644	1	1	yes	characteristic
1037	C₂³	#37644	1	1	yes	characteristic
1038	C₂³	#37644	1	1	yes	characteristic
1039	C₂³	#37644	1	1	yes	characteristic
1040	C₂³	#45439	1	1	yes	characteristic
1041	C₂³	#45439	1	1	yes	characteristic
1042	C₂³	#58990	1	1	yes	characteristic
1043	C₂³	#58990	1	1	yes	characteristic
1044	C₂³	#58990	1	1	yes	characteristic
1045	C₂³	#58990	1	1	yes	characteristic
1046	C₂³	#58990	1	1	yes	characteristic
1047	C₂³	#58990	1	1	yes	characteristic
1048	Q₈	#15947	1	8	yes	—
1049	D₄	#15947	1	8	yes	—
1050	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1051	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1052	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1053	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1054	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1055	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1056	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1057	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1058	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1059	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1060	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1061	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1062	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1063	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1064	C₂×C₄	#34980	1	1	yes	characteristic
1065	C₂×C₄	#34980	1	1	yes	characteristic
1066	C₂×C₄	#34980	1	1	yes	characteristic
1067	C₂×C₄	#34980	1	1	yes	characteristic
1068	C₂×C₄	#34980	1	1	yes	characteristic
1069	C₂×C₄	#34980	1	1	yes	characteristic
1070	C₂×C₄	#34980	1	1	yes	characteristic
1071	C₂×C₄	#35346	1	1	yes	characteristic
1072	C₂×C₄	#35346	1	1	yes	characteristic
1073	C₂×C₄	#35346	1	1	yes	characteristic
1074	C₂×C₄	#35346	1	1	yes	characteristic
1075	C₂×C₄	D₄×#120	1	1	yes	characteristic
1076	C₂×C₄	D₄×#120	1	1	yes	characteristic
1077	C₂×C₄	D₄×#120	1	1	yes	characteristic
1078	C₂×C₄	D₄×#120	1	1	yes	characteristic
1079	C₂×C₄	D₄×#120	1	1	yes	characteristic
1080	C₂×C₄	D₄×#120	1	1	yes	characteristic
1081	C₂×C₄	D₄×#120	1	1	yes	characteristic
1082	C₂×C₄	D₄×#120	1	1	yes	characteristic
1083	C₂×C₄	D₄×#120	1	1	yes	characteristic
1084	C₂×C₄	D₄×#120	1	1	yes	characteristic
1085	C₂×C₄	D₄×#120	1	1	yes	characteristic
1086	C₂×C₄	D₄×#120	1	1	yes	characteristic
1087	C₂×C₄	D₄×#120	1	1	yes	characteristic
1088	C₂×C₄	D₄×#120	1	1	yes	characteristic
1089	C₂×C₄	D₄×#120	1	1	yes	characteristic
1090	C₂×C₄	D₄×#120	1	1	yes	characteristic
1091	C₂×C₄	D₄×#120	1	1	yes	characteristic
1092	C₂×C₄	D₄×#120	1	1	yes	characteristic
1093	C₂×C₄	D₄×#120	1	1	yes	characteristic
1094	C₂×C₄	D₄×#120	1	1	yes	characteristic
1095	C₂×C₄	D₄×#120	1	1	yes	characteristic
1096	C₂×C₄	D₄×#120	1	1	yes	characteristic
1097	C₂×C₄	D₄×#120	1	1	yes	characteristic
1098	C₂×C₄	D₄×#120	1	1	yes	characteristic
1099	C₂×C₄	D₄×#120	1	1	yes	characteristic
1100	C₂×C₄	D₄×#120	1	1	yes	characteristic
1101	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1102	C₂×C₄	#36714	1	1	yes	characteristic
1103	C₂×C₄	#36714	1	1	yes	characteristic
1104	C₂×C₄	#36714	1	1	yes	characteristic
1105	C₂×C₄	#36714	1	1	yes	characteristic
1106	C₂×C₄	#37644	1	1	yes	characteristic
1107	C₂×C₄	#37644	1	1	yes	characteristic
1108	C₂×C₄	#37644	1	1	yes	characteristic
1109	C₂×C₄	#37644	1	1	yes	characteristic
1110	C₂×C₄	#37644	1	1	yes	characteristic
1111	C₂×C₄	#37644	1	1	yes	characteristic
1112	C₂×C₄	#37644	1	1	yes	characteristic
1113	C₂×C₄	#37644	1	1	yes	characteristic
1114	C₂×C₄	#37644	1	1	yes	characteristic
1115	C₂×C₄	#37644	1	1	yes	characteristic
1116	C₂×C₄	#37644	1	1	yes	characteristic
1117	C₂×C₄	#37644	1	1	yes	characteristic
1118	C₂×C₄	#37644	1	1	yes	characteristic
1119	C₂×C₄	#37644	1	1	yes	characteristic
1120	C₂×C₄	#37644	1	1	yes	characteristic
1121	C₂×C₄	#37644	1	1	yes	characteristic
1122	C₂×C₄	#37644	1	1	yes	characteristic
1123	C₂×C₄	#37644	1	1	yes	characteristic
1124	C₂×C₄	#37644	1	1	yes	characteristic
1125	C₂×C₄	#37644	1	1	yes	characteristic
1126	C₂×C₄	#37644	1	1	yes	characteristic
1127	C₂×C₄	#37644	1	1	yes	characteristic
1128	C₂×C₄	#37644	1	1	yes	characteristic
1129	C₂×C₄	#37644	1	1	yes	characteristic
1130	C₂×C₄	#37644	1	1	yes	characteristic
1131	C₂×C₄	#37644	1	1	yes	characteristic
1132	C₂×C₄	#37644	1	1	yes	characteristic
1133	C₂×C₄	#37644	1	1	yes	characteristic
1134	C₂×C₄	#37644	1	1	yes	characteristic
1135	C₂×C₄	#37644	1	1	yes	characteristic
1136	C₂×C₄	#37644	1	1	yes	characteristic
1137	C₂×C₄	#37644	1	1	yes	characteristic
1138	C₂×C₄	#37644	1	1	yes	characteristic
1139	C₂×C₄	#37644	1	1	yes	characteristic
1140	C₂×C₄	#45439	1	1	yes	characteristic
1141	C₂×C₄	#45439	1	1	yes	characteristic
1142	C₂×C₄	#45439	1	1	yes	characteristic
1143	C₂×C₄	#45439	1	1	yes	characteristic
1144	C₂×C₄	#45439	1	1	yes	characteristic
1145	C₂×C₄	#45439	1	1	yes	characteristic
1146	C₂×C₄	C₂×#2679	1	1	yes	characteristic
1147	C₂×C₄	C₂×#2679	1	1	yes	characteristic
1148	C₂×C₄	C₂×#2679	1	1	yes	characteristic
1149	C₂×C₄	C₂×#2679	1	1	yes	characteristic
1150	C₂×C₄	C₂×#2679	1	1	yes	characteristic
1151	C₂×C₄	C₂×#2679	1	1	yes	characteristic
1152	C₂×C₄	#58990	1	1	yes	characteristic
1153	C₂×C₄	#58990	1	1	yes	characteristic
1154	C₂×C₄	#58990	1	1	yes	characteristic
1155	C₂×C₄	#58990	1	1	yes	characteristic
1156	C₂×C₄	#58990	1	1	yes	characteristic
1157	C₂×C₄	#58990	1	1	yes	characteristic
1158	C₂×C₄	#58990	1	1	yes	characteristic
1159	C₂×C₄	#58990	1	1	yes	characteristic
1160	C₂×C₄	#58990	1	1	yes	characteristic
1161	C₂×C₄	#58990	1	1	yes	characteristic
1162	C₂×C₄	#58990	1	1	yes	characteristic
1163	C₂×C₄	#58990	1	1	yes	characteristic
1164	C₂×C₄	#58990	1	1	yes	characteristic
1165	C₂×C₄	#58990	1	1	yes	characteristic
1166	C₂×C₄	#58990	1	1	yes	characteristic
1167	C₂×C₄	#58990	1	1	yes	characteristic
1168	C₂×C₄	#58990	1	1	yes	characteristic
1169	C₂×C₄	#58990	1	1	yes	characteristic
1170	C₂²	#612424	1	1	yes	characteristic
1171	C₂²	#616960	1	1	yes	characteristic
1172	C₂²	#616960	1	1	yes	characteristic
1173	C₂²	#647656	1	1	yes	characteristic
1174	C₂²	#647656	1	1	yes	characteristic
1175	C₂²	#647656	1	1	yes	characteristic
1176	C₂²	#647656	1	1	yes	characteristic
1177	C₂²	#647656	1	1	yes	characteristic
1178	C₂²	#647656	1	1	yes	characteristic
1179	C₂²	#845297	1	1	yes	characteristic
1180	C₂²	#845297	1	1	yes	characteristic
1181	C₂²	#845297	1	1	yes	characteristic
1182	C₂²	#845297	1	1	yes	characteristic
1183	C₂²	#845297	1	1	yes	characteristic
1184	C₂²	#845297	1	1	yes	characteristic
1185	C₄	C₂×#15947	1	1	yes	characteristic
1186	C₄	#612424	1	1	yes	characteristic
1187	C₄	#612424	1	1	yes	characteristic
1188	C₄	#616960	1	1	yes	characteristic
1189	C₄	#647656	1	1	yes	characteristic
1190	C₄	#647656	1	1	yes	characteristic
1191	C₄	#647656	1	1	yes	characteristic
1192	C₄	#647656	1	1	yes	characteristic
1193	C₄	#647656	1	1	yes	characteristic
1194	C₄	#647656	1	1	yes	characteristic
1195	C₄	#845297	1	1	yes	characteristic
1196	C₄	#845297	1	1	yes	characteristic
1197	C₄	#845297	1	1	yes	characteristic
1198	C₄	#845297	1	1	yes	characteristic
1199	C₄	#845297	1	1	yes	characteristic
1200	C₄	#845297	1	1	yes	characteristic
1201	C₂	#72216112	1	2	yes	—
1202	C₂	#72218795	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#647656
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. #72255966	C₂	semidirect
2. #72255963	C₂	semidirect
3. #72255959	C₂	semidirect
4. #72255954	C₂	semidirect
5. #72255951	C₂	semidirect
6. #72250500	C₂	semidirect
7. #72239651	C₂	semidirect
8. #72238744	C₂	semidirect
9. C₂×#6437575	C₂	semidirect
10. #72237518	C₂	semidirect
11. #72237517	C₂	semidirect
12. #72237516	C₂	semidirect
13. #72237515	C₂	semidirect
14. C₂×#449491	C₂	semidirect
15. #72237513	C₂	semidirect
16. #72237512	C₂	semidirect
17. #72237511	C₂	semidirect
18. #72237510	C₂	semidirect
19. #72237509	C₂	semidirect
20. #72237508	C₂	semidirect
21. #72237507	C₂	semidirect
22. #72237506	C₂	semidirect
23. #72237505	C₂	semidirect
24. #72237504	C₂	semidirect
25. #72237503	C₂	semidirect
26. C₂×#6437593	C₂	semidirect
27. #72236744	C₂	semidirect
28. #72235994	C₂	semidirect
29. C₂×#449496	C₂	semidirect
30. C₂×#10574840	C₂	semidirect
31. C₂×#6628867	C₂	semidirect
32. C₂⁴×H(5,𝔽₂)	C₂²	semidirect
33. C₂×#63090	C₂²	semidirect
37. C₂²×#3025	C₂²	semidirect
38. #10574839	C₂²	semidirect
39. C₂×#60369	C₂²	semidirect
44. C₂×#60367	C₂²	semidirect
45. C₂×#60367	C₂²	semidirect
46. C₂×#60367	C₂²	semidirect
47. C₂×#60367	C₂²	semidirect
48. C₂×#60387	C₂²	semidirect
49. C₂×#60387	C₂²	semidirect
53. C₂×#60359	C₂²	semidirect
54. C₂×#60359	C₂²	semidirect
55. C₂²×#3021	C₂²	semidirect
58. C₂²×#3019	C₂²	semidirect
59. C₂²×#3019	C₂²	semidirect
61. C₂²×#3003	C₂²	semidirect
62. C₂²×#3003	C₂²	semidirect
63. C₂×#60064	C₂²	semidirect
64. C₂×#60087	C₂²	semidirect
65. C₂×#60087	C₂²	semidirect
66. #7628649	C₂²	semidirect
67. C₂×#35222	C₂²	semidirect
68. #6431784	C₂²	semidirect
69. C₂×#23439	C₂²	semidirect
70. C₂×#23439	C₂²	semidirect
71. C₂×#23434	C₂²	semidirect
72. #6431764	C₂²	semidirect
73. C₂²×#2010	C₂²	semidirect
74. C₂²×#2010	C₂²	semidirect
75. C₂×#23412	C₂²	semidirect
76. C₂×#23412	C₂²	semidirect
77. C₂×#23412	C₂²	semidirect
78. C₂²×#2008	C₂²	semidirect
79. #6431733	C₂²	semidirect
80. C₂×#21009	C₂²	semidirect
81. #6371536	C₂²	semidirect
82. C₂×#21005	C₂²	semidirect
83. C₂×#20998	C₂²	semidirect
84. C₂×#20998	C₂²	semidirect
85. C₂×#20995	C₂²	semidirect
86. C₂²×#1903	C₂²	semidirect
87. C₂²×#1891	C₂²	semidirect
88. C₂×#20939	C₂²	semidirect
89. C₂×#20939	C₂²	semidirect
90. #6371397	C₂²	semidirect
91. #6371397	C₂²	semidirect
92. C₂×#20623	C₂²	semidirect
93. C₂×#20620	C₂²	semidirect
94. #6370746	C₂²	semidirect
95. C₂×#20616	C₂²	semidirect
96. C₂×#20616	C₂²	semidirect
97. C₂×#20616	C₂²	semidirect
98. C₂×#20616	C₂²	semidirect
99. C₂×#20605	C₂²	semidirect
100. C₂×#20605	C₂²	semidirect
101. #6370719	C₂²	semidirect
102. #6370719	C₂²	semidirect
103. #6370719	C₂²	semidirect
104. #6370719	C₂²	semidirect
105. #6370715	C₂²	semidirect
106. C₂×#20598	C₂²	semidirect
107. C₂²×#1783	C₂²	semidirect
108. #6370684	C₂²	semidirect
109. C₂×#11037	C₂²	semidirect
110. C₂×#11037	C₂²	semidirect
111. C₂×#11037	C₂²	semidirect
112. C₂×#11034	C₂²	semidirect
113. C₂×#11034	C₂²	semidirect
114. C₂×#11034	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. #357577	C₂²	semidirect
122. #357575	C₂²	semidirect
123. #357575	C₂²	semidirect
124. #357575	C₂²	semidirect
125. #357571	C₂²	semidirect
126. #357567	C₂²	semidirect
127. C₂×#11014	C₂²	semidirect
128. C₂×#11014	C₂²	semidirect
129. #357564	C₂²	semidirect
130. #357564	C₂²	semidirect
131. C₂×#11012	C₂²	semidirect
132. C₂×#11012	C₂²	semidirect
133. C₂×#11012	C₂²	semidirect
134. #357561	C₂²	semidirect
135. C₂×#11004	C₂²	semidirect
136. C₂×#11003	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. #357546	C₂²	semidirect
145. #357544	C₂²	semidirect
146. #357541	C₂²	semidirect
147. C₂×#10993	C₂²	semidirect
148. C₂×#10993	C₂²	semidirect
149. C₂×#10993	C₂²	semidirect
150. #357529	C₂²	semidirect
151. C₂×#11006	C₂²	semidirect
152. #357486	C₂²	semidirect
153. #357475	C₂²	semidirect
154. C₂×#10987	C₂²	semidirect
155. #357470	C₂²	semidirect
156. C₂×#10984	C₂²	semidirect
157. C₂×#10787	C₂²	semidirect
158. #353462	C₂²	semidirect
159. C₂×#10793	C₂²	semidirect
160. C₂×#10792	C₂²	semidirect
161. C₂×#10778	C₂²	semidirect
162. #353352	C₂²	semidirect
163. #123644	C₂²	semidirect
164. #123628	C₂²	semidirect
165. #123619	C₂²	semidirect
166. #123619	C₂²	semidirect
167. #123619	C₂²	semidirect
168. #123619	C₂²	semidirect
169. #123611	C₂²	semidirect
170. #123604	C₂²	semidirect
171. #123604	C₂²	semidirect
172. #123602	C₂²	semidirect
173. #123600	C₂²	semidirect
174. #123569	C₂²	semidirect
175. #123568	C₂²	semidirect
176. #123563	C₂²	semidirect
177. #123563	C₂²	semidirect
178. #123560	C₂²	semidirect
179. #123556	C₂²	semidirect
180. #123556	C₂²	semidirect
181. #123554	C₂²	semidirect
182. #123549	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123535	C₂²	semidirect
185. #123532	C₂²	semidirect
186. #123532	C₂²	semidirect
188. C₂²×#585	C₂³	semidirect
196. C₂×#3585	D₄	semidirect
197. C₂²×#577	D₄	semidirect
198. C₂²×#576	D₄	semidirect
209. C₂²×#575	C₂³	semidirect
210. C₂²×#575	C₂³	semidirect
219. C₂²×#568	C₂³	semidirect
220. #62811	D₄	semidirect
232. C₂×#3019	D₄	semidirect
233. C₂²×#455	D₄	semidirect
234. C₂²×#453	D₄	semidirect
235. #60367	D₄	semidirect
236. C₂×#3012	D₄	semidirect
237. C₂×#3009	D₄	semidirect
238. C₂×#3009	D₄	semidirect
239. C₂×#3008	D₄	semidirect
240. C₂×#3008	D₄	semidirect
241. #60359	D₄	semidirect
242. C₂×#3005	D₄	semidirect
243. C₂×#3005	D₄	semidirect
244. C₂×#3005	D₄	semidirect
245. C₂×#3005	D₄	semidirect
246. C₂×#3004	D₄	semidirect
247. C₂×#3004	D₄	semidirect
248. C₂×#3003	D₄	semidirect
249. C₂×#3003	D₄	semidirect
250. C₂×#3003	D₄	semidirect
259. C₂²×#421	C₂³	semidirect
260. C₂²×#421	C₂³	semidirect
261. C₂²×#421	C₂³	semidirect
262. C₂²×#421	C₂³	semidirect
263. C₂²×#421	C₂³	semidirect
264. C₂²×#421	C₂³	semidirect
265. C₂²×#421	C₂³	semidirect
266. C₂²×#421	C₂³	semidirect
281. C₂×#2896	C₂³	semidirect
282. C₂×#2896	C₂³	semidirect
283. C₂×#2896	C₂³	semidirect
284. C₂×#2896	C₂³	semidirect
295. C₂²×#413	C₂³	semidirect
296. C₂²×#413	C₂³	semidirect
297. C₂²×#413	C₂³	semidirect
298. C₂²×#413	C₂³	semidirect
303. C₂²×#410	C₂³	semidirect
304. C₂²×#410	C₂³	semidirect
305. C₂²×#410	C₂³	semidirect
306. C₂²×#410	C₂³	semidirect
313. C₂×#2879	C₂³	semidirect
314. C₂×#2879	C₂³	semidirect
315. C₂×#2879	C₂³	semidirect
324. #34044	C₂³	semidirect
329. C₂²×#344	C₂³	semidirect
330. C₂²×#344	C₂³	semidirect
331. C₂²×#344	C₂³	semidirect
332. C₂²×#344	C₂³	semidirect
333. C₂²×#344	C₂³	semidirect
334. C₂²×#344	C₂³	semidirect
335. C₂²×#344	C₂³	semidirect
336. C₂²×#344	C₂³	semidirect
337. C₂²×#344	C₂³	semidirect
338. C₂²×#344	C₂³	semidirect
339. C₂²×#344	C₂³	semidirect
340. C₂²×#344	C₂³	semidirect
341. C₂×#1742	C₂³	semidirect
342. C₂×#1742	C₂³	semidirect
343. C₂×#1740	C₂³	semidirect
344. C₂×#1740	C₂³	semidirect
345. C₂×#1738	C₂³	semidirect
346. C₂×#1738	C₂³	semidirect
347. C₂×#1738	C₂³	semidirect
348. C₂×#1738	C₂³	semidirect
349. C₂×#1738	C₂³	semidirect
350. C₂×#1738	C₂³	semidirect
351. C₂×#1733	C₂³	semidirect
352. C₂×#1733	C₂³	semidirect
353. C₂×#1733	C₂³	semidirect
354. C₂×#1733	C₂³	semidirect
355. C₂²×#338	C₂³	semidirect
356. C₂²×#338	C₂³	semidirect
357. C₂²×H(3,ℤ/4)	C₂³	semidirect
358. C₂²×H(3,ℤ/4)	C₂³	semidirect
359. C₂²×H(3,ℤ/4)	C₂³	semidirect
360. C₂²×H(3,ℤ/4)	C₂³	semidirect
361. C₂²×H(3,ℤ/4)	C₂³	semidirect
362. C₂²×H(3,ℤ/4)	C₂³	semidirect
363. #20335	C₂³	semidirect
364. #20335	C₂³	semidirect
405. C₂×#575	C₂×D₄	semidirect
414. C₂²×#137	C₂×D₄	semidirect
429. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
430. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
435. C₂³×SD₁₆	C₂×D₄	semidirect
438. C₂³×D₈	C₂×D₄	semidirect
456. C₂×#537	C₂×D₄	semidirect
458. C₂×#536	C₂×D₄	semidirect
460. C₂×#535	C₂×D₄	semidirect
461. C₂×#535	C₂×D₄	semidirect
462. C₂²×#127	C₂×D₄	semidirect
463. C₂²×#124	C₂×D₄	semidirect
482. C₂×#421	C₂×D₄	semidirect
484. C₂²×#104	C₂×D₄	semidirect
501. C₂×#418	C₂×D₄	semidirect
504. C₂²×#102	C₂×D₄	semidirect
505. C₂²×#100	C₂×D₄	semidirect
506. C₂²×#100	C₂×D₄	semidirect
509. C₂×#408	C₂×D₄	semidirect
510. C₂×#408	C₂×D₄	semidirect
518. C₂×2₋¹⁺⁴	#120	semidirect
521. C₂×H(5,𝔽₂)	#120	semidirect
610. C₂×#137	#120	semidirect
611. C₂×#137	#120	semidirect
612. C₂×AGL(1,ℤ/8)	#120	semidirect
613. C₂×AGL(1,ℤ/8)	#120	semidirect
614. C₂×AGL(1,ℤ/8)	#120	semidirect
615. C₂²×Q₁₆	#120	semidirect
616. C₂²×Q₁₆	#120	semidirect
617. C₂²×SD₁₆	#120	semidirect
618. C₂²×SD₁₆	#120	semidirect
619. C₂²×SD₁₆	#120	semidirect
620. C₂²×SD₁₆	#120	semidirect
621. C₂²×SD₁₆	#120	semidirect
622. C₂²×D₈	#120	semidirect
623. C₂²×D₈	#120	semidirect
624. C₂²×D₈	#120	semidirect
649. #536	#120	semidirect
650. #535	#120	semidirect

Maximal subgroups

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

subgroup	index
#72255966	2
#72255963	2
#72255959	2
#72255954	2
#72255951	2
#72250500	2
#72239651	2
#72238744	2
C₂×#6437575	2
#72237518	2
#72237517	2
#72237516	2
#72237515	2
C₂×#449491	2
#72237513	2
#72237512	2
#72237511	2
#72237510	2
#72237509	2
#72237508	2
#72237507	2
#72237506	2
#72237505	2
#72237504	2
#72237503	2
C₂×#6437593	2
#72236744	2
#72235994	2
C₂×#449496	2
C₂×#10574840	2
C₂×#6628867	2