Subgroups — #72256176

Order 2048.

At least 18670 conjugacy classes of subgroups; only the 2096 normal subgroups are shown.

The subgroup lattice has 1159 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72256170	C₂	1	1	yes	maximal, characteristic, complemented
2	#72256143	C₂	1	1	yes	maximal, characteristic, complemented
3	#72256104	C₂	1	1	yes	maximal, characteristic, complemented
4	#72256090	C₂	1	1	yes	maximal, characteristic, complemented
5	#72256020	C₂	1	1	yes	maximal, characteristic, complemented
6	#72255959	C₂	1	1	yes	maximal, characteristic, complemented
7	#72255862	C₂	1	1	yes	maximal, characteristic, complemented
8	#72255812	C₂	1	1	yes	maximal, characteristic, complemented
9	#72255762	C₂	1	1	yes	maximal, characteristic, complemented
10	#72255664	C₂	1	1	yes	maximal, characteristic, complemented
11	#72255594	C₂	1	1	yes	maximal, characteristic, complemented
12	#72252197	C₂	1	1	yes	maximal, characteristic, complemented
13	#72252173	C₂	1	1	yes	maximal, characteristic, complemented
14	#72252159	C₂	1	1	yes	maximal, characteristic, complemented
15	#72252133	C₂	1	1	yes	maximal, characteristic, complemented
16	#72252128	C₂	1	1	yes	maximal, characteristic, complemented
17	#72252105	C₂	1	1	yes	maximal, characteristic, complemented
18	#72252095	C₂	1	1	yes	maximal, characteristic, complemented
19	#72252094	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#359681	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#417718	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#6437950	C₂	1	1	yes	maximal, characteristic, complemented
23	#72250500	C₂	1	1	yes	maximal, characteristic, complemented
24	#72239625	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#359649	C₂	1	1	yes	maximal, characteristic, complemented
26	#72236737	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#417670	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#392132	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#10574840	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#6628867	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#394108	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
33	C₂²×#3585	C₂²	1	1	yes	characteristic
34	C₂²×#3585	C₂²	1	1	yes	characteristic
35	C₂×#62811	C₂²	1	1	yes	characteristic
36	C₂×#60426	C₂²	1	1	yes	characteristic, complemented
37	C₂×#60469	C₂²	1	1	yes	characteristic, complemented
38	C₂×#60367	C₂²	1	1	yes	characteristic
39	C₂×#60367	C₂²	1	1	yes	characteristic
40	C₂×#60367	C₂²	1	1	yes	characteristic
41	C₂×#60367	C₂²	1	1	yes	characteristic
42	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
43	C₂×#60359	C₂²	1	1	yes	characteristic
44	C₂×#60359	C₂²	1	1	yes	characteristic
45	C₂×#60359	C₂²	1	1	yes	characteristic
46	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#3019	C₂²	1	1	yes	characteristic
48	C₂²×#3019	C₂²	1	1	yes	characteristic
49	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
50	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
51	C₂²×#3003	C₂²	1	1	yes	characteristic
52	C₂²×#3003	C₂²	1	1	yes	characteristic
53	C₂×#60064	C₂²	1	1	yes	characteristic
54	C₂×#60093	C₂²	1	1	yes	characteristic, complemented
55	C₂×#60087	C₂²	1	1	yes	characteristic
56	C₂×#60087	C₂²	1	1	yes	characteristic
57	C₂×#35222	C₂²	1	1	yes	characteristic, complemented
58	C₂×#23527	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#2048	C₂²	1	1	yes	characteristic, complemented
60	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
61	#6431784	C₂²	1	1	yes	characteristic, complemented
62	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
63	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
64	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
65	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
66	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
67	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
68	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
69	#6431707	C₂²	1	1	yes	characteristic, complemented
70	C₂×#21012	C₂²	1	1	yes	characteristic, complemented
71	C₂×#21005	C₂²	1	1	yes	characteristic, complemented
72	C₂×#21000	C₂²	1	1	yes	characteristic, complemented
73	C₂×#21000	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
75	C₂×#20995	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20995	C₂²	1	1	yes	characteristic, complemented
77	C₂²×#1903	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#1891	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20959	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20947	C₂²	1	1	yes	characteristic, complemented
81	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
82	#6371397	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20867	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
85	C₂²×#1795	C₂²	1	1	yes	characteristic
86	C₂²×#1795	C₂²	1	1	yes	characteristic
87	C₂²×#1795	C₂²	1	1	yes	characteristic
88	C₂²×#1795	C₂²	1	1	yes	characteristic
89	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
90	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
91	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
93	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
94	C₂×#20616	C₂²	1	1	yes	characteristic
95	C₂×#20616	C₂²	1	1	yes	characteristic
96	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
97	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
98	C₂×#20605	C₂²	1	1	yes	characteristic
99	C₂×#20605	C₂²	1	1	yes	characteristic
100	C₂×#20605	C₂²	1	1	yes	characteristic
101	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
102	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
103	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
104	C₂×#20591	C₂²	1	1	yes	characteristic, complemented
105	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
106	C₂×#20584	C₂²	1	1	yes	characteristic, complemented
107	C₂×#11183	C₂²	1	1	yes	characteristic, complemented
108	C₂×#11181	C₂²	1	1	yes	characteristic, complemented
109	#357917	C₂²	1	1	yes	characteristic, complemented
110	C₂×#11153	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11142	C₂²	1	1	yes	characteristic, complemented
112	#357823	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11118	C₂²	1	1	yes	characteristic, complemented
114	#357758	C₂²	1	1	yes	characteristic, complemented
115	#357754	C₂²	1	1	yes	characteristic, complemented
116	C₂×#11101	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11073	C₂²	1	1	yes	characteristic, complemented
118	C₂×#11071	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
120	#357591	C₂²	1	1	yes	characteristic, complemented
121	#357591	C₂²	1	1	yes	characteristic, complemented
122	#357591	C₂²	1	1	yes	characteristic, complemented
123	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
124	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
125	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
126	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
127	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
128	C₂×#11032	C₂²	1	1	yes	characteristic, complemented
129	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
130	#357581	C₂²	1	1	yes	characteristic, complemented
131	#357575	C₂²	1	1	yes	characteristic, complemented
132	#357567	C₂²	1	1	yes	characteristic, complemented
133	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
134	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
135	C₂×#11012	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×#11003	C₂²	1	1	yes	characteristic, complemented
139	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
140	C₂×#11000	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×#10994	C₂²	1	1	yes	characteristic, complemented
145	#357541	C₂²	1	1	yes	characteristic, complemented
146	#357541	C₂²	1	1	yes	characteristic, complemented
147	#357536	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	#357524	C₂²	1	1	yes	characteristic, complemented
151	#357524	C₂²	1	1	yes	characteristic, complemented
152	C₂×#11006	C₂²	1	1	yes	characteristic, complemented
153	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
155	C₂×#10787	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10783	C₂²	1	1	yes	characteristic, complemented
157	C₂×#10783	C₂²	1	1	yes	characteristic, complemented
158	#353456	C₂²	1	1	yes	characteristic, complemented
159	C₂×#10794	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	#353354	C₂²	1	1	yes	characteristic, complemented
163	#123644	C₂²	1	1	yes	characteristic, complemented
164	#123644	C₂²	1	1	yes	characteristic, complemented
165	#123643	C₂²	1	1	yes	characteristic, complemented
166	#123638	C₂²	1	1	yes	characteristic, complemented
167	#123637	C₂²	1	1	yes	characteristic, complemented
168	#123637	C₂²	1	1	yes	characteristic, complemented
169	#123636	C₂²	1	1	yes	characteristic, complemented
170	#123628	C₂²	1	1	yes	characteristic, complemented
171	#123627	C₂²	1	1	yes	characteristic, complemented
172	#123619	C₂²	1	1	yes	characteristic, complemented
173	#123619	C₂²	1	1	yes	characteristic, complemented
174	#123619	C₂²	1	1	yes	characteristic, complemented
175	#123618	C₂²	1	1	yes	characteristic, complemented
176	#123616	C₂²	1	1	yes	characteristic, complemented
177	#123609	C₂²	1	1	yes	characteristic, complemented
178	#123605	C₂²	1	1	yes	characteristic, complemented
179	#123604	C₂²	1	1	yes	characteristic, complemented
180	#123600	C₂²	1	1	yes	characteristic, complemented
181	#123563	C₂²	1	1	yes	characteristic, complemented
182	#123555	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	#123531	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
188	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
189	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	C₂⁴×#41	C₂³	1	1	yes	characteristic
193	C₂⁴×#41	C₂³	1	1	yes	characteristic
194	C₂⁵×D₄	C₂³	1	1	yes	characteristic
195	C₂×#3585	D₄	1	8	yes	complemented
196	C₂²×#577	D₄	1	4	yes	complemented
197	C₂²×#576	D₄	1	4	yes	complemented
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	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, complemented
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, complemented
214	#62811	D₄	1	8	yes	complemented
215	C₂×#3449	C₂³	1	1	yes	characteristic
216	C₂×#3449	C₂³	1	1	yes	characteristic
217	C₂×#3449	C₂³	1	1	yes	characteristic, complemented
218	C₂²×#535	C₂³	1	1	yes	characteristic
219	C₂²×#535	C₂³	1	1	yes	characteristic
220	C₂²×#525	C₂³	1	1	yes	characteristic
221	C₂²×#525	C₂³	1	1	yes	characteristic
222	C₂²×#525	C₂³	1	1	yes	characteristic
223	C₂×#3428	C₂³	1	1	yes	characteristic
224	C₂×#3428	C₂³	1	1	yes	characteristic, complemented
225	C₂²×#455	D₄	1	4	yes	complemented
226	C₂²×#453	D₄	1	4	yes	complemented
227	#60367	D₄	1	8	yes	complemented
228	C₂×#3009	D₄	1	4	yes	complemented
229	C₂×#3008	D₄	1	4	yes	complemented
230	C₂×#3005	D₄	1	2	yes	complemented
231	C₂×#3005	D₄	1	2	yes	complemented
232	C₂×#3004	D₄	1	2	yes	complemented
233	C₂×#3003	D₄	1	8	yes	complemented
234	C₂×#3003	D₄	1	2	yes	complemented
235	C₂²×#430	C₂³	1	1	yes	characteristic, complemented
236	C₂×#2905	C₂³	1	1	yes	characteristic, complemented
237	C₂²×#421	C₂³	1	1	yes	characteristic
238	C₂²×#421	C₂³	1	1	yes	characteristic
239	C₂²×#421	C₂³	1	1	yes	characteristic
240	C₂²×#421	C₂³	1	1	yes	characteristic
241	C₂²×#421	C₂³	1	1	yes	characteristic
242	C₂²×#421	C₂³	1	1	yes	characteristic
243	C₂²×#421	C₂³	1	1	yes	characteristic
244	C₂²×#421	C₂³	1	1	yes	characteristic
245	C₂²×#421	C₂³	1	1	yes	characteristic
246	C₂²×#421	C₂³	1	1	yes	characteristic
247	C₂²×#421	C₂³	1	1	yes	characteristic
248	C₂²×#421	C₂³	1	1	yes	characteristic
249	C₂²×#421	C₂³	1	1	yes	characteristic
250	C₂²×#421	C₂³	1	1	yes	characteristic
251	C₂²×#421	C₂³	1	1	yes	characteristic
252	C₂²×#421	C₂³	1	1	yes	characteristic
253	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
254	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
255	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
256	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
257	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
258	C₂²×#421	C₂³	1	1	yes	characteristic, complemented
259	C₂×#2896	C₂³	1	1	yes	characteristic
260	C₂×#2896	C₂³	1	1	yes	characteristic
261	C₂×#2896	C₂³	1	1	yes	characteristic
262	C₂×#2896	C₂³	1	1	yes	characteristic
263	C₂×#2896	C₂³	1	1	yes	characteristic
264	C₂×#2896	C₂³	1	1	yes	characteristic
265	C₂×#2896	C₂³	1	1	yes	characteristic
266	C₂×#2896	C₂³	1	1	yes	characteristic
267	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
268	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
269	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
270	C₂×#2896	C₂³	1	1	yes	characteristic, complemented
271	C₂²×#418	C₂³	1	1	yes	characteristic
272	C₂²×#418	C₂³	1	1	yes	characteristic
273	C₂²×#418	C₂³	1	1	yes	characteristic
274	C₂²×#418	C₂³	1	1	yes	characteristic
275	C₂²×#418	C₂³	1	1	yes	characteristic
276	C₂²×#418	C₂³	1	1	yes	characteristic
277	C₂²×#418	C₂³	1	1	yes	characteristic
278	C₂²×#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×#413	C₂³	1	1	yes	characteristic
284	C₂²×#413	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, complemented
288	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
289	C₂²×#413	C₂³	1	1	yes	characteristic, complemented
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	C₂²×#410	C₂³	1	1	yes	characteristic
298	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
299	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
300	C₂²×#410	C₂³	1	1	yes	characteristic, complemented
301	C₂×#2879	C₂³	1	1	yes	characteristic
302	C₂×#2879	C₂³	1	1	yes	characteristic
303	C₂×#2879	C₂³	1	1	yes	characteristic, complemented
304	C₂×#2879	C₂³	1	1	yes	characteristic, complemented
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	C₂²×#407	C₂³	1	1	yes	characteristic
309	C₂²×#407	C₂³	1	1	yes	characteristic
310	C₂²×#407	C₂³	1	1	yes	characteristic
311	C₂×#2309	C₂³	1	1	yes	characteristic
312	C₂×#2309	C₂³	1	1	yes	characteristic
313	C₂×#2280	C₂³	1	1	yes	characteristic
314	C₂×#2280	C₂³	1	1	yes	characteristic
315	C₂×#2280	C₂³	1	1	yes	characteristic
316	C₂×#1795	D₄	1	8	yes	complemented
317	#20616	D₄	1	8	yes	complemented
318	#20605	D₄	1	8	yes	complemented
319	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
320	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
321	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
322	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
323	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
324	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
325	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
326	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
327	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
328	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
329	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
330	C₂²×#344	C₂³	1	1	yes	characteristic, complemented
331	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
332	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
333	C₂×#1742	C₂³	1	1	yes	characteristic, complemented
334	C₂×#1740	C₂³	1	1	yes	characteristic, complemented
335	C₂×#1740	C₂³	1	1	yes	characteristic, complemented
336	C₂×#1740	C₂³	1	1	yes	characteristic, complemented
337	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
338	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
339	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
340	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
341	C₂×#1738	C₂³	1	1	yes	characteristic, complemented
342	#20347	C₂³	1	1	yes	characteristic, complemented
343	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
344	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
345	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
346	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
347	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
348	C₂×#1733	C₂³	1	1	yes	characteristic, complemented
349	C₂²×#338	C₂³	1	1	yes	characteristic, complemented
350	C₂²×#338	C₂³	1	1	yes	characteristic, complemented
351	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
352	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
353	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
354	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
355	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
356	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic, complemented
357	#20335	C₂³	1	1	yes	characteristic, complemented
358	#20335	C₂³	1	1	yes	characteristic, complemented
359	C₂×#585	C₂×D₄	1	4	yes	—
360	C₂×#585	C₂×D₄	1	4	yes	—
361	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
362	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
363	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
364	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
365	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
366	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
367	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
368	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
369	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
370	C₂²×H(5,𝔽₂)	#41	1	4	yes	—
371	C₂³×#41	C₂×D₄	1	4	yes	—
372	C₂³×#41	C₂×D₄	1	4	yes	—
373	C₂³×#41	C₂×D₄	1	1	yes	characteristic
374	C₂³×#41	C₂×D₄	1	1	yes	characteristic
375	C₂³×#41	#41	1	1	yes	characteristic
376	C₂³×#41	#41	1	1	yes	characteristic
377	C₂³×#41	C₂⁴	1	1	yes	characteristic
378	C₂³×#41	C₂⁴	1	1	yes	characteristic
379	C₂³×#41	C₂⁴	1	1	yes	characteristic
380	C₂³×#41	C₂⁴	1	1	yes	characteristic
381	C₂³×#41	C₂⁴	1	1	yes	characteristic
382	C₂³×#41	C₂⁴	1	1	yes	characteristic
383	C₂³×#41	C₂⁴	1	1	yes	characteristic
384	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
385	C₂⁴×Q₈	#41	1	1	yes	characteristic
386	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
387	C₂⁴×D₄	C₂×D₄	1	4	yes	—
388	C₂⁴×D₄	#41	1	1	yes	characteristic
389	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
390	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
391	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
392	C₂×#575	C₂×D₄	1	4	yes	—
393	C₂×#575	C₂×D₄	1	4	yes	—
394	C₂×#575	C₂×D₄	1	4	yes	—
395	C₂²×#137	C₂×D₄	1	2	yes	—
396	C₂²×#137	C₂×D₄	1	2	yes	—
397	C₂²×#137	C₂×D₄	1	2	yes	—
398	C₂²×#137	C₂×D₄	1	2	yes	—
399	C₂²×#137	C₂×D₄	1	2	yes	—
400	C₂²×#137	C₂×D₄	1	2	yes	complemented
401	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
402	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
403	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
404	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
405	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
406	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
407	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
408	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
409	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
410	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
411	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
412	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
413	C₂²×#135	C₂×D₄	1	4	yes	—
414	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
415	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
416	C₂³×D₈	C₂×D₄	1	2	yes	—
417	C₂³×D₈	C₂×D₄	1	2	yes	—
418	C₂×#568	C₂×D₄	1	4	yes	—
419	C₂²×#131	C₂×D₄	1	4	yes	—
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	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
428	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
429	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
430	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
431	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
432	#3449	C₂×D₄	1	4	yes	—
433	#3449	C₂×D₄	1	4	yes	—
434	#3449	C₂×D₄	1	4	yes	—
435	C₂×#536	C₂×D₄	1	2	yes	—
436	C₂×#535	C₂×D₄	1	2	yes	—
437	C₂²×#127	C₂×D₄	1	2	yes	complemented
438	C₂²×#124	C₂×D₄	1	2	yes	complemented
439	C₂×#525	C₂×D₄	1	4	yes	—
440	C₂×#525	C₂×D₄	1	4	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	C₂²×#117	C₂⁴	1	1	yes	characteristic
446	C₂²×#117	C₂⁴	1	1	yes	characteristic
447	C₂²×#117	C₂⁴	1	1	yes	characteristic
448	C₂²×#117	C₂⁴	1	1	yes	characteristic
449	C₂²×#117	C₂⁴	1	1	yes	characteristic
450	C₂²×#117	C₂⁴	1	1	yes	characteristic
451	C₂²×#117	C₂⁴	1	1	yes	characteristic
452	C₂²×#117	C₂⁴	1	1	yes	characteristic
453	C₂²×#117	C₂⁴	1	1	yes	characteristic
454	C₂×#421	C₂×D₄	1	4	yes	—
455	C₂×#421	C₂×D₄	1	4	yes	—
456	C₂×#421	C₂×D₄	1	4	yes	—
457	C₂×#421	C₂×D₄	1	4	yes	—
458	C₂×#421	C₂×D₄	1	4	yes	—
459	C₂×#421	C₂×D₄	1	4	yes	—
460	C₂×#421	C₂×D₄	1	4	yes	—
461	C₂×#421	C₂×D₄	1	4	yes	complemented
462	C₂²×#104	C₂×D₄	1	4	yes	—
463	C₂²×#104	C₂×D₄	1	4	yes	complemented
464	#2896	C₂×D₄	1	4	yes	—
465	#2896	C₂×D₄	1	4	yes	—
466	#2896	C₂×D₄	1	4	yes	complemented
467	C₂×#419	C₂×D₄	1	2	yes	—
468	C₂×#419	C₂×D₄	1	2	yes	—
469	C₂×#418	C₂×D₄	1	2	yes	—
470	C₂×#418	C₂×D₄	1	2	yes	—
471	C₂×#418	C₂×D₄	1	4	yes	—
472	C₂×#418	C₂×D₄	1	4	yes	—
473	C₂×#418	C₂×D₄	1	4	yes	—
474	C₂×#418	C₂×D₄	1	4	yes	—
475	C₂×#418	C₂×D₄	1	4	yes	complemented
476	C₂×#418	C₂×D₄	1	4	yes	complemented
477	C₂×#416	C₂×D₄	1	4	yes	—
478	C₂×#413	C₂×D₄	1	4	yes	complemented
479	C₂²×#100	C₂×D₄	1	4	yes	complemented
480	C₂²×#100	C₂×D₄	1	4	yes	complemented
481	C₂×#410	C₂×D₄	1	4	yes	complemented
482	#2879	C₂×D₄	1	4	yes	—
483	C₂×#408	C₂×D₄	1	4	yes	—
484	C₂×#407	C₂×D₄	1	4	yes	—
485	C₂×#407	C₂×D₄	1	2	yes	—
486	C₂×#407	C₂×D₄	1	2	yes	—
487	C₂×#407	C₂×D₄	1	4	yes	—
488	#2309	C₂×D₄	1	4	yes	complemented
489	#2280	C₂×D₄	1	4	yes	—
490	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
491	C₂×2₋¹⁺⁴	#120	1	8	yes	complemented
492	C₂×H(5,𝔽₂)	#120	1	16	yes	—
493	C₂×H(5,𝔽₂)	#120	1	8	yes	complemented
494	C₂×H(5,𝔽₂)	#121	1	16	yes	—
495	C₂²×#41	#121	1	4	yes	—
496	C₂²×#41	#121	1	4	yes	—
497	C₂²×#41	C₂²×D₄	1	2	yes	—
498	C₂²×#41	C₂²×D₄	1	2	yes	—
499	C₂²×#41	C₂²×D₄	1	2	yes	—
500	C₂²×#41	C₂²×D₄	1	2	yes	—
501	C₂²×#41	C₂²×D₄	1	2	yes	—
502	C₂²×#41	C₂²×D₄	1	2	yes	—
503	C₂²×#41	C₂²×D₄	1	2	yes	—
504	C₂²×#41	C₂²×D₄	1	2	yes	—
505	C₂²×#41	C₂²×D₄	1	2	yes	—
506	C₂²×#41	C₂²×D₄	1	2	yes	—
507	C₂²×#41	C₂²×D₄	1	2	yes	—
508	C₂²×#41	C₂²×D₄	1	2	yes	—
509	C₂²×#41	C₂²×D₄	1	2	yes	—
510	C₂²×#41	C₂²×D₄	1	2	yes	—
511	C₂²×#41	C₂²×D₄	1	2	yes	—
512	C₂²×#41	C₂²×D₄	1	2	yes	—
513	C₂²×#41	C₂²×D₄	1	2	yes	—
514	C₂²×#41	C₂²×D₄	1	2	yes	—
515	C₂²×#41	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	C₂×#41	1	2	yes	—
524	C₂²×#41	C₂×#41	1	2	yes	—
525	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
526	C₂²×#41	H(5,𝔽₂)	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	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
534	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
535	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
536	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
537	C₂³×Q₈	#121	1	4	yes	—
538	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
539	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
540	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
541	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
542	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
543	C₂³×Q₈	C₂×#41	1	1	yes	characteristic
544	C₂³×Q₈	C₂×#41	1	1	yes	characteristic
545	C₂³×D₄	#121	1	4	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	1	yes	characteristic
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	2	yes	—
556	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
557	C₂³×D₄	C₂²×D₄	1	2	yes	—
558	C₂³×D₄	C₂²×D₄	1	2	yes	—
559	C₂³×D₄	C₂²×D₄	1	2	yes	—
560	C₂³×D₄	C₂×#41	1	1	yes	characteristic
561	C₂³×D₄	C₂×#41	1	2	yes	—
562	C₂³×D₄	C₂×#41	1	1	yes	characteristic
563	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
564	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
565	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
566	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
567	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
568	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
569	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
570	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
571	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
572	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
573	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
574	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
575	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
576	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
577	C₂×#137	#120	1	8	yes	complemented
578	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
579	C₂×AGL(1,ℤ/8)	#120	1	8	yes	complemented
580	C₂²×Q₁₆	#120	1	4	yes	complemented
581	C₂²×SD₁₆	#120	1	8	yes	—
582	C₂²×SD₁₆	#120	1	4	yes	complemented
583	C₂²×SD₁₆	#120	1	4	yes	complemented
584	C₂²×D₈	#120	1	8	yes	—
585	C₂²×D₈	#120	1	4	yes	complemented
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	C₂²×D₄	1	2	yes	—
604	C₂³×C₈	C₂²×D₄	1	2	yes	—
605	C₂³×C₈	C₂²×D₄	1	2	yes	—
606	#536	#120	1	8	yes	complemented
607	#535	#120	1	8	yes	complemented
608	#525	#120	1	8	yes	—
609	#525	#120	1	8	yes	—
610	C₂×#117	C₂²×D₄	1	2	yes	—
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	C₂²×C₄²	C₂²×D₄	1	2	yes	—
623	C₂×#104	#120	1	16	yes	—
624	C₂⁵	#534	1	2	yes	—
625	C₂⁵	D₄²	1	2	yes	—
626	C₂⁵	#546	1	1	yes	characteristic
627	C₂⁵	#546	1	1	yes	characteristic
628	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
629	C₂×#41	C₂×#120	1	4	yes	—
630	C₂×#41	C₂×#120	1	4	yes	—
631	C₂×#41	C₂×#120	1	4	yes	—
632	C₂×#41	C₂×#120	1	4	yes	—
633	C₂×#41	C₂×#120	1	4	yes	—
634	C₂×#41	C₂×#120	1	4	yes	—
635	C₂×#41	C₂×#120	1	4	yes	—
636	C₂×#41	C₂×#120	1	4	yes	—
637	C₂×#41	C₂×#120	1	4	yes	—
638	C₂×#41	C₂×#121	1	4	yes	—
639	C₂×#41	C₂×#121	1	4	yes	—
640	C₂×#41	#534	1	4	yes	—
641	C₂×#41	#534	1	4	yes	—
642	C₂×#41	#534	1	4	yes	—
643	C₂×#41	#534	1	4	yes	—
644	C₂×#41	#534	1	4	yes	—
645	C₂×#41	#534	1	4	yes	—
646	C₂×#41	#534	1	4	yes	—
647	C₂×#41	#535	1	4	yes	—
648	C₂×#41	#535	1	4	yes	—
649	C₂×#41	#535	1	4	yes	—
650	C₂×#41	#538	1	4	yes	—
651	C₂×#41	D₄²	1	4	yes	—
652	C₂×#41	D₄²	1	4	yes	—
653	C₂×#41	D₄²	1	4	yes	—
654	C₂×#41	D₄²	1	4	yes	—
655	C₂×#41	D₄²	1	4	yes	—
656	C₂×#41	D₄²	1	4	yes	—
657	C₂×#41	D₄²	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	#546	1	4	yes	—
667	C₂×#41	#546	1	4	yes	—
668	C₂×#41	#546	1	4	yes	—
669	C₂×#41	#546	1	4	yes	—
670	C₂×#41	#546	1	4	yes	—
671	C₂×#41	#560	1	4	yes	—
672	C₂×#41	#560	1	4	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	C₂×#120	1	2	yes	—
679	C₂²×Q₈	C₂×#121	1	2	yes	—
680	C₂²×Q₈	C₂×#121	1	2	yes	—
681	C₂²×Q₈	#525	1	2	yes	—
682	C₂²×Q₈	#538	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×Q₈	#546	1	2	yes	—
688	C₂²×Q₈	#546	1	2	yes	—
689	C₂²×Q₈	#546	1	2	yes	—
690	C₂²×Q₈	#546	1	2	yes	—
691	C₂²×Q₈	#546	1	2	yes	—
692	C₂²×Q₈	#546	1	2	yes	—
693	C₂²×D₄	C₂×#120	1	2	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×#120	1	4	yes	—
698	C₂²×D₄	C₂×#120	1	4	yes	—
699	C₂²×D₄	C₂×#120	1	2	yes	—
700	C₂²×D₄	C₂×#120	1	4	yes	—
701	C₂²×D₄	C₂×#120	1	2	yes	—
702	C₂²×D₄	C₂×#121	1	2	yes	—
703	C₂²×D₄	C₂×#121	1	4	yes	—
704	C₂²×D₄	C₂×#121	1	2	yes	—
705	C₂²×D₄	#525	1	2	yes	—
706	C₂²×D₄	#534	1	4	yes	—
707	C₂²×D₄	#534	1	4	yes	—
708	C₂²×D₄	#538	1	2	yes	—
709	C₂²×D₄	D₄²	1	4	yes	—
710	C₂²×D₄	D₄²	1	4	yes	—
711	C₂²×D₄	D₄²	1	4	yes	—
712	C₂²×D₄	D₄²	1	4	yes	—
713	C₂²×D₄	D₄²	1	2	yes	—
714	C₂²×D₄	D₄²	1	2	yes	—
715	C₂²×D₄	D₄²	1	4	yes	—
716	C₂²×D₄	D₄²	1	4	yes	—
717	C₂²×D₄	D₄²	1	2	yes	—
718	C₂²×D₄	#546	1	2	yes	—
719	C₂²×D₄	#546	1	4	yes	—
720	C₂²×D₄	#546	1	2	yes	—
721	C₂²×D₄	#546	1	4	yes	—
722	C₂²×D₄	#546	1	2	yes	—
723	C₂²×D₄	#546	1	2	yes	—
724	C₂²×D₄	#546	1	2	yes	—
725	C₂²×D₄	#546	1	2	yes	—
726	C₂²×D₄	#546	1	2	yes	—
727	C₂³×C₄	C₂×#120	1	2	yes	—
728	C₂³×C₄	C₂×#120	1	2	yes	—
729	C₂³×C₄	C₂×#121	1	2	yes	—
730	C₂³×C₄	C₂×#121	1	2	yes	—
731	C₂³×C₄	#534	1	2	yes	—
732	C₂³×C₄	D₄²	1	2	yes	—
733	C₂³×C₄	D₄²	1	2	yes	—
734	C₂³×C₄	D₄²	1	2	yes	—
735	C₂³×C₄	#546	1	1	yes	characteristic
736	C₂³×C₄	#546	1	1	yes	characteristic
737	C₂³×C₄	#546	1	2	yes	—
738	C₂³×C₄	#546	1	2	yes	—
739	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
740	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
741	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
742	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
743	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
744	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
745	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
746	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
747	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
748	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
749	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
750	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
751	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
752	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
753	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
754	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
755	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
756	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
757	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
758	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
759	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
760	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
761	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
762	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
763	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
764	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
765	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
766	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
767	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
768	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
769	C₂×M₁₆	C₂×#120	1	4	yes	—
770	C₂×M₁₆	C₂×#120	1	4	yes	—
771	C₂×M₁₆	C₂×#120	1	4	yes	—
772	C₂²×C₈	C₂×#120	1	4	yes	—
773	C₂²×C₈	C₂×#120	1	4	yes	—
774	#117	C₂×#120	1	4	yes	—
775	#117	C₂×#120	1	4	yes	—
776	C₂×C₄²	C₂×#120	1	4	yes	—
777	C₂⁴	#2410	1	2	yes	—
778	C₂⁴	#2410	1	2	yes	—
779	C₂⁴	C₂×#534	1	1	yes	characteristic
780	C₂⁴	C₂×D₄²	1	1	yes	characteristic
781	C₂⁴	C₂×#546	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	#3484	1	1	yes	characteristic
788	C₂⁴	#3484	1	1	yes	characteristic
789	C₂⁴	#3490	1	1	yes	characteristic
790	C₂⁴	#3532	1	1	yes	characteristic
791	C₂⁴	#3532	1	1	yes	characteristic
792	C₂⁴	#3532	1	1	yes	characteristic
793	C₂⁴	#3532	1	1	yes	characteristic
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	#2668	1	8	yes	—
799	#41	#2669	1	8	yes	—
800	#41	#2669	1	8	yes	—
801	#41	#2678	1	8	yes	—
802	C₂×Q₈	#2403	1	4	yes	—
803	C₂×Q₈	#2404	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	#2410	1	4	yes	—
808	C₂×Q₈	#2424	1	4	yes	—
809	C₂×Q₈	#2424	1	4	yes	—
810	C₂×Q₈	#2668	1	4	yes	—
811	C₂×Q₈	#2678	1	4	yes	—
812	C₂×Q₈	#2846	1	4	yes	—
813	C₂×D₄	#2403	1	4	yes	—
814	C₂×D₄	#2403	1	8	yes	—
815	C₂×D₄	#2404	1	4	yes	—
816	C₂×D₄	#2408	1	4	yes	—
817	C₂×D₄	#2410	1	4	yes	—
818	C₂×D₄	#2410	1	8	yes	—
819	C₂×D₄	#2410	1	4	yes	—
820	C₂×D₄	#2410	1	4	yes	—
821	C₂×D₄	#2424	1	4	yes	—
822	C₂×D₄	#2424	1	4	yes	—
823	C₂×D₄	#2668	1	4	yes	—
824	C₂×D₄	#2678	1	4	yes	—
825	C₂×D₄	#2846	1	4	yes	—
826	C₂²×C₄	#2410	1	2	yes	—
827	C₂²×C₄	#2410	1	2	yes	—
828	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
829	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
830	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
831	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
832	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
833	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
834	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
835	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
836	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
837	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
838	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
839	C₂²×C₄	C₂×#525	1	1	yes	characteristic
840	C₂²×C₄	C₂×#534	1	1	yes	characteristic
841	C₂²×C₄	C₂×#534	1	1	yes	characteristic
842	C₂²×C₄	C₂×#534	1	1	yes	characteristic
843	C₂²×C₄	C₂×#534	1	1	yes	characteristic
844	C₂²×C₄	C₂×#534	1	1	yes	characteristic
845	C₂²×C₄	C₂×#534	1	1	yes	characteristic
846	C₂²×C₄	C₂×#534	1	1	yes	characteristic
847	C₂²×C₄	C₂×#534	1	1	yes	characteristic
848	C₂²×C₄	C₂×#534	1	1	yes	characteristic
849	C₂²×C₄	C₂×#535	1	1	yes	characteristic
850	C₂²×C₄	C₂×#535	1	1	yes	characteristic
851	C₂²×C₄	C₂×#535	1	1	yes	characteristic
852	C₂²×C₄	C₂×#538	1	1	yes	characteristic
853	C₂²×C₄	C₂×#538	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×D₄²	1	1	yes	characteristic
871	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
872	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
873	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
874	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
875	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
876	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
877	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
878	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
879	C₂²×C₄	C₂×#546	1	1	yes	characteristic
880	C₂²×C₄	C₂×#546	1	1	yes	characteristic
881	C₂²×C₄	C₂×#546	1	1	yes	characteristic
882	C₂²×C₄	C₂×#546	1	1	yes	characteristic
883	C₂²×C₄	C₂×#546	1	1	yes	characteristic
884	C₂²×C₄	C₂×#546	1	1	yes	characteristic
885	C₂²×C₄	C₂×#546	1	1	yes	characteristic
886	C₂²×C₄	C₂×#546	1	1	yes	characteristic
887	C₂²×C₄	C₂×#546	1	1	yes	characteristic
888	C₂²×C₄	C₂×#546	1	1	yes	characteristic
889	C₂²×C₄	C₂×#546	1	1	yes	characteristic
890	C₂²×C₄	C₂×#546	1	1	yes	characteristic
891	C₂²×C₄	C₂×#546	1	1	yes	characteristic
892	C₂²×C₄	C₂×#546	1	1	yes	characteristic
893	C₂²×C₄	C₂×#546	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	#3484	1	1	yes	characteristic
908	C₂²×C₄	#3484	1	1	yes	characteristic
909	C₂²×C₄	#3484	1	1	yes	characteristic
910	C₂²×C₄	#3484	1	1	yes	characteristic
911	C₂²×C₄	#3484	1	1	yes	characteristic
912	C₂²×C₄	#3484	1	1	yes	characteristic
913	C₂²×C₄	#3484	1	1	yes	characteristic
914	C₂²×C₄	#3484	1	1	yes	characteristic
915	C₂²×C₄	#3484	1	1	yes	characteristic
916	C₂²×C₄	#3484	1	1	yes	characteristic
917	C₂²×C₄	#3484	1	1	yes	characteristic
918	C₂²×C₄	#3484	1	1	yes	characteristic
919	C₂²×C₄	#3484	1	1	yes	characteristic
920	C₂²×C₄	#3484	1	1	yes	characteristic
921	C₂²×C₄	#3484	1	1	yes	characteristic
922	C₂²×C₄	#3484	1	1	yes	characteristic
923	C₂²×C₄	#3484	1	1	yes	characteristic
924	C₂²×C₄	#3484	1	1	yes	characteristic
925	C₂²×C₄	#3484	1	1	yes	characteristic
926	C₂²×C₄	#3484	1	1	yes	characteristic
927	C₂²×C₄	#3484	1	1	yes	characteristic
928	C₂²×C₄	#3484	1	1	yes	characteristic
929	C₂²×C₄	#3484	1	1	yes	characteristic
930	C₂²×C₄	#3484	1	1	yes	characteristic
931	C₂²×C₄	#3484	1	1	yes	characteristic
932	C₂²×C₄	#3484	1	1	yes	characteristic
933	C₂²×C₄	#3484	1	1	yes	characteristic
934	C₂²×C₄	#3484	1	1	yes	characteristic
935	C₂²×C₄	#3484	1	1	yes	characteristic
936	C₂²×C₄	#3484	1	1	yes	characteristic
937	C₂²×C₄	#3484	1	1	yes	characteristic
938	C₂²×C₄	#3484	1	1	yes	characteristic
939	C₂²×C₄	#3490	1	1	yes	characteristic
940	C₂²×C₄	#3490	1	1	yes	characteristic
941	C₂²×C₄	#3490	1	1	yes	characteristic
942	C₂²×C₄	#3490	1	1	yes	characteristic
943	C₂²×C₄	#3490	1	1	yes	characteristic
944	C₂²×C₄	#3490	1	1	yes	characteristic
945	C₂²×C₄	#3490	1	1	yes	characteristic
946	C₂²×C₄	C₂×#560	1	1	yes	characteristic
947	C₂²×C₄	C₂×#560	1	1	yes	characteristic
948	C₂²×C₄	#3532	1	1	yes	characteristic
949	C₂²×C₄	#3532	1	1	yes	characteristic
950	C₂²×C₄	#3532	1	1	yes	characteristic
951	C₂²×C₄	#3532	1	1	yes	characteristic
952	C₂²×C₄	#3532	1	1	yes	characteristic
953	C₂²×C₄	#3532	1	1	yes	characteristic
954	C₂²×C₄	#3532	1	1	yes	characteristic
955	C₂²×C₄	#3532	1	1	yes	characteristic
956	C₂²×C₄	#3532	1	1	yes	characteristic
957	C₂²×C₄	#3532	1	1	yes	characteristic
958	C₂²×C₄	#3532	1	1	yes	characteristic
959	C₂²×C₄	#3532	1	1	yes	characteristic
960	C₂²×C₄	#3532	1	1	yes	characteristic
961	C₂²×C₄	#3532	1	1	yes	characteristic
962	C₂²×C₄	#3532	1	1	yes	characteristic
963	C₂²×C₄	#3532	1	1	yes	characteristic
964	C₂²×C₄	#3532	1	1	yes	characteristic
965	C₂²×C₄	#3532	1	1	yes	characteristic
966	C₂²×C₄	#3532	1	1	yes	characteristic
967	C₂²×C₄	#3532	1	1	yes	characteristic
968	C₂³	C₂×#2410	1	1	yes	characteristic
969	C₂³	#34980	1	1	yes	characteristic
970	C₂³	#34980	1	1	yes	characteristic
971	C₂³	#35346	1	1	yes	characteristic
972	C₂³	#35348	1	1	yes	characteristic
973	C₂³	D₄×#120	1	1	yes	characteristic
974	C₂³	D₄×#120	1	1	yes	characteristic
975	C₂³	D₄×#120	1	1	yes	characteristic
976	C₂³	#36098	1	1	yes	characteristic
977	C₂³	#36152	1	1	yes	characteristic
978	C₂³	#36152	1	1	yes	characteristic
979	C₂³	#36702	1	1	yes	characteristic
980	C₂³	#36714	1	1	yes	characteristic
981	C₂³	#37644	1	1	yes	characteristic
982	C₂³	#37644	1	1	yes	characteristic
983	C₂³	#37644	1	1	yes	characteristic
984	C₂³	#37644	1	1	yes	characteristic
985	C₂³	#37644	1	1	yes	characteristic
986	C₂³	#37644	1	1	yes	characteristic
987	C₂³	#37644	1	1	yes	characteristic
988	C₂³	#37645	1	1	yes	characteristic
989	C₂³	#37645	1	1	yes	characteristic
990	C₂³	#37645	1	1	yes	characteristic
991	C₂³	#37660	1	1	yes	characteristic
992	C₂³	#37660	1	1	yes	characteristic
993	C₂³	#37832	1	1	yes	characteristic
994	C₂³	#37832	1	1	yes	characteristic
995	C₂³	#45438	1	1	yes	characteristic
996	C₂³	#45438	1	1	yes	characteristic
997	C₂³	#58990	1	1	yes	characteristic
998	C₂³	#58990	1	1	yes	characteristic
999	C₂³	#58991	1	1	yes	characteristic
1000	C₂³	#58991	1	1	yes	characteristic
1001	C₂³	#58991	1	1	yes	characteristic
1002	C₂³	#58991	1	1	yes	characteristic
1003	Q₈	#15257	1	8	yes	—
1004	D₄	#15257	1	8	yes	—
1005	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1006	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1007	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1008	C₂×C₄	C₂×#2403	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×#2410	1	1	yes	characteristic
1012	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1013	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1014	C₂×C₄	C₂×#2424	1	1	yes	characteristic
1015	C₂×C₄	C₂×#2424	1	1	yes	characteristic
1016	C₂×C₄	C₂×#2408	1	1	yes	characteristic
1017	C₂×C₄	C₂×#2408	1	1	yes	characteristic
1018	C₂×C₄	C₂×#2404	1	1	yes	characteristic
1019	C₂×C₄	#34980	1	1	yes	characteristic
1020	C₂×C₄	#34980	1	1	yes	characteristic
1021	C₂×C₄	#34980	1	1	yes	characteristic
1022	C₂×C₄	#34980	1	1	yes	characteristic
1023	C₂×C₄	#34980	1	1	yes	characteristic
1024	C₂×C₄	#34980	1	1	yes	characteristic
1025	C₂×C₄	#34980	1	1	yes	characteristic
1026	C₂×C₄	#35346	1	1	yes	characteristic
1027	C₂×C₄	#35348	1	1	yes	characteristic
1028	C₂×C₄	#35348	1	1	yes	characteristic
1029	C₂×C₄	#35348	1	1	yes	characteristic
1030	C₂×C₄	D₄×#120	1	1	yes	characteristic
1031	C₂×C₄	D₄×#120	1	1	yes	characteristic
1032	C₂×C₄	D₄×#120	1	1	yes	characteristic
1033	C₂×C₄	D₄×#120	1	1	yes	characteristic
1034	C₂×C₄	D₄×#120	1	1	yes	characteristic
1035	C₂×C₄	D₄×#120	1	1	yes	characteristic
1036	C₂×C₄	D₄×#120	1	1	yes	characteristic
1037	C₂×C₄	D₄×#120	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	#36098	1	1	yes	characteristic
1048	C₂×C₄	#36098	1	1	yes	characteristic
1049	C₂×C₄	#36098	1	1	yes	characteristic
1050	C₂×C₄	#36152	1	1	yes	characteristic
1051	C₂×C₄	#36152	1	1	yes	characteristic
1052	C₂×C₄	#36152	1	1	yes	characteristic
1053	C₂×C₄	#36152	1	1	yes	characteristic
1054	C₂×C₄	#36152	1	1	yes	characteristic
1055	C₂×C₄	#36152	1	1	yes	characteristic
1056	C₂×C₄	C₂×#2846	1	1	yes	characteristic
1057	C₂×C₄	#36702	1	1	yes	characteristic
1058	C₂×C₄	#36702	1	1	yes	characteristic
1059	C₂×C₄	#36702	1	1	yes	characteristic
1060	C₂×C₄	#36714	1	1	yes	characteristic
1061	C₂×C₄	#37644	1	1	yes	characteristic
1062	C₂×C₄	#37644	1	1	yes	characteristic
1063	C₂×C₄	#37644	1	1	yes	characteristic
1064	C₂×C₄	#37644	1	1	yes	characteristic
1065	C₂×C₄	#37644	1	1	yes	characteristic
1066	C₂×C₄	#37644	1	1	yes	characteristic
1067	C₂×C₄	#37644	1	1	yes	characteristic
1068	C₂×C₄	#37644	1	1	yes	characteristic
1069	C₂×C₄	#37644	1	1	yes	characteristic
1070	C₂×C₄	#37644	1	1	yes	characteristic
1071	C₂×C₄	#37644	1	1	yes	characteristic
1072	C₂×C₄	#37644	1	1	yes	characteristic
1073	C₂×C₄	#37644	1	1	yes	characteristic
1074	C₂×C₄	#37645	1	1	yes	characteristic
1075	C₂×C₄	#37645	1	1	yes	characteristic
1076	C₂×C₄	#37645	1	1	yes	characteristic
1077	C₂×C₄	#37645	1	1	yes	characteristic
1078	C₂×C₄	#37645	1	1	yes	characteristic
1079	C₂×C₄	#37645	1	1	yes	characteristic
1080	C₂×C₄	#37645	1	1	yes	characteristic
1081	C₂×C₄	#37645	1	1	yes	characteristic
1082	C₂×C₄	#37645	1	1	yes	characteristic
1083	C₂×C₄	#37660	1	1	yes	characteristic
1084	C₂×C₄	#37660	1	1	yes	characteristic
1085	C₂×C₄	#37660	1	1	yes	characteristic
1086	C₂×C₄	#37660	1	1	yes	characteristic
1087	C₂×C₄	#37660	1	1	yes	characteristic
1088	C₂×C₄	#37660	1	1	yes	characteristic
1089	C₂×C₄	#37832	1	1	yes	characteristic
1090	C₂×C₄	#37832	1	1	yes	characteristic
1091	C₂×C₄	#37832	1	1	yes	characteristic
1092	C₂×C₄	#37832	1	1	yes	characteristic
1093	C₂×C₄	#37832	1	1	yes	characteristic
1094	C₂×C₄	#37832	1	1	yes	characteristic
1095	C₂×C₄	#45438	1	1	yes	characteristic
1096	C₂×C₄	#45438	1	1	yes	characteristic
1097	C₂×C₄	#45438	1	1	yes	characteristic
1098	C₂×C₄	#45438	1	1	yes	characteristic
1099	C₂×C₄	#45438	1	1	yes	characteristic
1100	C₂×C₄	#45438	1	1	yes	characteristic
1101	C₂×C₄	C₂×#2668	1	1	yes	characteristic
1102	C₂×C₄	C₂×#2668	1	1	yes	characteristic
1103	C₂×C₄	C₂×#2669	1	1	yes	characteristic
1104	C₂×C₄	C₂×#2669	1	1	yes	characteristic
1105	C₂×C₄	C₂×#2678	1	1	yes	characteristic
1106	C₂×C₄	C₂×#2678	1	1	yes	characteristic
1107	C₂×C₄	#58990	1	1	yes	characteristic
1108	C₂×C₄	#58990	1	1	yes	characteristic
1109	C₂×C₄	#58990	1	1	yes	characteristic
1110	C₂×C₄	#58990	1	1	yes	characteristic
1111	C₂×C₄	#58990	1	1	yes	characteristic
1112	C₂×C₄	#58990	1	1	yes	characteristic
1113	C₂×C₄	#58991	1	1	yes	characteristic
1114	C₂×C₄	#58991	1	1	yes	characteristic
1115	C₂×C₄	#58991	1	1	yes	characteristic
1116	C₂×C₄	#58991	1	1	yes	characteristic
1117	C₂×C₄	#58991	1	1	yes	characteristic
1118	C₂×C₄	#58991	1	1	yes	characteristic
1119	C₂×C₄	#58991	1	1	yes	characteristic
1120	C₂×C₄	#58991	1	1	yes	characteristic
1121	C₂×C₄	#58991	1	1	yes	characteristic
1122	C₂×C₄	#58991	1	1	yes	characteristic
1123	C₂×C₄	#58991	1	1	yes	characteristic
1124	C₂×C₄	#58991	1	1	yes	characteristic
1125	C₂²	#612433	1	1	yes	characteristic
1126	C₂²	#616960	1	1	yes	characteristic
1127	C₂²	#616969	1	1	yes	characteristic
1128	C₂²	#647656	1	1	yes	characteristic
1129	C₂²	#647657	1	1	yes	characteristic
1130	C₂²	#647670	1	1	yes	characteristic
1131	C₂²	#647670	1	1	yes	characteristic
1132	C₂²	#648042	1	1	yes	characteristic
1133	C₂²	#648042	1	1	yes	characteristic
1134	C₂²	#845309	1	1	yes	characteristic
1135	C₂²	#845309	1	1	yes	characteristic
1136	C₂²	#846041	1	1	yes	characteristic
1137	C₂²	#846041	1	1	yes	characteristic
1138	C₂²	#846057	1	1	yes	characteristic
1139	C₂²	#846057	1	1	yes	characteristic
1140	C₄	C₂×#15257	1	1	yes	characteristic
1141	C₄	#612424	1	1	yes	characteristic
1142	C₄	#612433	1	1	yes	characteristic
1143	C₄	#616969	1	1	yes	characteristic
1144	C₄	#647656	1	1	yes	characteristic
1145	C₄	#647657	1	1	yes	characteristic
1146	C₄	#647670	1	1	yes	characteristic
1147	C₄	#647670	1	1	yes	characteristic
1148	C₄	#648042	1	1	yes	characteristic
1149	C₄	#648042	1	1	yes	characteristic
1150	C₄	#845309	1	1	yes	characteristic
1151	C₄	#845309	1	1	yes	characteristic
1152	C₄	#846041	1	1	yes	characteristic
1153	C₄	#846041	1	1	yes	characteristic
1154	C₄	#846057	1	1	yes	characteristic
1155	C₄	#846057	1	1	yes	characteristic
1156	C₂	#72216154	1	2	yes	—
1157	C₂	#72252092	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#846041
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. #72256170	C₂	semidirect
2. #72256143	C₂	semidirect
3. #72256104	C₂	semidirect
4. #72256090	C₂	semidirect
5. #72256020	C₂	semidirect
6. #72255959	C₂	semidirect
7. #72255862	C₂	semidirect
8. #72255812	C₂	semidirect
9. #72255762	C₂	semidirect
10. #72255664	C₂	semidirect
11. #72255594	C₂	semidirect
12. #72252197	C₂	semidirect
13. #72252173	C₂	semidirect
14. #72252159	C₂	semidirect
15. #72252133	C₂	semidirect
16. #72252128	C₂	semidirect
17. #72252105	C₂	semidirect
18. #72252095	C₂	semidirect
19. #72252094	C₂	semidirect
20. C₂×#359681	C₂	semidirect
21. C₂×#417718	C₂	semidirect
22. C₂×#6437950	C₂	semidirect
23. #72250500	C₂	semidirect
24. #72239625	C₂	semidirect
25. C₂×#359649	C₂	semidirect
26. #72236737	C₂	semidirect
27. C₂×#417670	C₂	semidirect
28. C₂×#392132	C₂	semidirect
29. C₂×#10574840	C₂	semidirect
30. C₂×#6628867	C₂	semidirect
31. C₂×#394108	C₂	semidirect
36. C₂×#60426	C₂²	semidirect
37. C₂×#60469	C₂²	semidirect
42. C₂×#60387	C₂²	semidirect
46. C₂×#60359	C₂²	semidirect
49. C₂²×#3019	C₂²	semidirect
50. C₂²×#3019	C₂²	semidirect
54. C₂×#60093	C₂²	semidirect
57. C₂×#35222	C₂²	semidirect
58. C₂×#23527	C₂²	semidirect
59. C₂²×#2048	C₂²	semidirect
60. C₂×#23443	C₂²	semidirect
61. #6431784	C₂²	semidirect
62. C₂×#23414	C₂²	semidirect
63. C₂²×#2010	C₂²	semidirect
64. C₂×#23412	C₂²	semidirect
65. C₂×#23412	C₂²	semidirect
66. C₂×#23412	C₂²	semidirect
67. C₂²×#2008	C₂²	semidirect
68. C₂×#23400	C₂²	semidirect
69. #6431707	C₂²	semidirect
70. C₂×#21012	C₂²	semidirect
71. C₂×#21005	C₂²	semidirect
72. C₂×#21000	C₂²	semidirect
73. C₂×#21000	C₂²	semidirect
74. C₂×#20998	C₂²	semidirect
75. C₂×#20995	C₂²	semidirect
76. C₂×#20995	C₂²	semidirect
77. C₂²×#1903	C₂²	semidirect
78. C₂²×#1891	C₂²	semidirect
79. C₂×#20959	C₂²	semidirect
80. C₂×#20947	C₂²	semidirect
81. C₂×#20945	C₂²	semidirect
82. #6371397	C₂²	semidirect
83. C₂×#20867	C₂²	semidirect
84. C₂×#20623	C₂²	semidirect
89. C₂²×#1795	C₂²	semidirect
90. C₂²×#1795	C₂²	semidirect
91. C₂²×#1795	C₂²	semidirect
92. C₂²×#1795	C₂²	semidirect
93. C₂×#20620	C₂²	semidirect
96. C₂×#20616	C₂²	semidirect
97. C₂×#20616	C₂²	semidirect
101. C₂×#20605	C₂²	semidirect
102. C₂×#20598	C₂²	semidirect
103. C₂×#20598	C₂²	semidirect
104. C₂×#20591	C₂²	semidirect
105. C₂²×#1783	C₂²	semidirect
106. C₂×#20584	C₂²	semidirect
107. C₂×#11183	C₂²	semidirect
108. C₂×#11181	C₂²	semidirect
109. #357917	C₂²	semidirect
110. C₂×#11153	C₂²	semidirect
111. C₂×#11142	C₂²	semidirect
112. #357823	C₂²	semidirect
113. C₂×#11118	C₂²	semidirect
114. #357758	C₂²	semidirect
115. #357754	C₂²	semidirect
116. C₂×#11101	C₂²	semidirect
117. C₂×#11073	C₂²	semidirect
118. C₂×#11071	C₂²	semidirect
119. C₂×#11037	C₂²	semidirect
120. #357591	C₂²	semidirect
121. #357591	C₂²	semidirect
122. #357591	C₂²	semidirect
123. C₂×#11034	C₂²	semidirect
124. C₂×#11033	C₂²	semidirect
125. C₂×#11033	C₂²	semidirect
126. C₂×#11033	C₂²	semidirect
127. C₂×#11032	C₂²	semidirect
128. C₂×#11032	C₂²	semidirect
129. C₂×#11030	C₂²	semidirect
130. #357581	C₂²	semidirect
131. #357575	C₂²	semidirect
132. #357567	C₂²	semidirect
133. C₂×#11014	C₂²	semidirect
134. C₂×#11012	C₂²	semidirect
135. C₂×#11012	C₂²	semidirect
136. C₂×#11004	C₂²	semidirect
137. C₂×#11003	C₂²	semidirect
138. C₂×#11003	C₂²	semidirect
139. C₂×#11003	C₂²	semidirect
140. C₂×#11000	C₂²	semidirect
141. C₂×#10994	C₂²	semidirect
142. C₂×#10994	C₂²	semidirect
143. C₂×#10994	C₂²	semidirect
144. C₂×#10994	C₂²	semidirect
145. #357541	C₂²	semidirect
146. #357541	C₂²	semidirect
147. #357536	C₂²	semidirect
148. C₂×#10993	C₂²	semidirect
149. C₂×#10993	C₂²	semidirect
150. #357524	C₂²	semidirect
151. #357524	C₂²	semidirect
152. C₂×#11006	C₂²	semidirect
153. C₂×#10987	C₂²	semidirect
154. C₂×#10984	C₂²	semidirect
155. C₂×#10787	C₂²	semidirect
156. C₂×#10783	C₂²	semidirect
157. C₂×#10783	C₂²	semidirect
158. #353456	C₂²	semidirect
159. C₂×#10794	C₂²	semidirect
160. C₂×#10792	C₂²	semidirect
161. C₂×#10778	C₂²	semidirect
162. #353354	C₂²	semidirect
163. #123644	C₂²	semidirect
164. #123644	C₂²	semidirect
165. #123643	C₂²	semidirect
166. #123638	C₂²	semidirect
167. #123637	C₂²	semidirect
168. #123637	C₂²	semidirect
169. #123636	C₂²	semidirect
170. #123628	C₂²	semidirect
171. #123627	C₂²	semidirect
172. #123619	C₂²	semidirect
173. #123619	C₂²	semidirect
174. #123619	C₂²	semidirect
175. #123618	C₂²	semidirect
176. #123616	C₂²	semidirect
177. #123609	C₂²	semidirect
178. #123605	C₂²	semidirect
179. #123604	C₂²	semidirect
180. #123600	C₂²	semidirect
181. #123563	C₂²	semidirect
182. #123555	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123535	C₂²	semidirect
185. #123532	C₂²	semidirect
186. #123531	C₂²	semidirect
195. C₂×#3585	D₄	semidirect
196. C₂²×#577	D₄	semidirect
197. C₂²×#576	D₄	semidirect
206. C₂²×#575	C₂³	semidirect
213. C₂²×#568	C₂³	semidirect
214. #62811	D₄	semidirect
217. C₂×#3449	C₂³	semidirect
224. C₂×#3428	C₂³	semidirect
225. C₂²×#455	D₄	semidirect
226. C₂²×#453	D₄	semidirect
227. #60367	D₄	semidirect
228. C₂×#3009	D₄	semidirect
229. C₂×#3008	D₄	semidirect
230. C₂×#3005	D₄	semidirect
231. C₂×#3005	D₄	semidirect
232. C₂×#3004	D₄	semidirect
233. C₂×#3003	D₄	semidirect
234. C₂×#3003	D₄	semidirect
235. C₂²×#430	C₂³	semidirect
236. C₂×#2905	C₂³	semidirect
253. C₂²×#421	C₂³	semidirect
254. C₂²×#421	C₂³	semidirect
255. C₂²×#421	C₂³	semidirect
256. C₂²×#421	C₂³	semidirect
257. C₂²×#421	C₂³	semidirect
258. C₂²×#421	C₂³	semidirect
267. C₂×#2896	C₂³	semidirect
268. C₂×#2896	C₂³	semidirect
269. C₂×#2896	C₂³	semidirect
270. C₂×#2896	C₂³	semidirect
287. C₂²×#413	C₂³	semidirect
288. C₂²×#413	C₂³	semidirect
289. C₂²×#413	C₂³	semidirect
298. C₂²×#410	C₂³	semidirect
299. C₂²×#410	C₂³	semidirect
300. C₂²×#410	C₂³	semidirect
303. C₂×#2879	C₂³	semidirect
304. C₂×#2879	C₂³	semidirect
316. C₂×#1795	D₄	semidirect
317. #20616	D₄	semidirect
318. #20605	D₄	semidirect
319. C₂²×#344	C₂³	semidirect
320. C₂²×#344	C₂³	semidirect
321. C₂²×#344	C₂³	semidirect
322. C₂²×#344	C₂³	semidirect
323. C₂²×#344	C₂³	semidirect
324. C₂²×#344	C₂³	semidirect
325. C₂²×#344	C₂³	semidirect
326. C₂²×#344	C₂³	semidirect
327. C₂²×#344	C₂³	semidirect
328. C₂²×#344	C₂³	semidirect
329. C₂²×#344	C₂³	semidirect
330. C₂²×#344	C₂³	semidirect
331. C₂×#1742	C₂³	semidirect
332. C₂×#1742	C₂³	semidirect
333. C₂×#1742	C₂³	semidirect
334. C₂×#1740	C₂³	semidirect
335. C₂×#1740	C₂³	semidirect
336. C₂×#1740	C₂³	semidirect
337. C₂×#1738	C₂³	semidirect
338. C₂×#1738	C₂³	semidirect
339. C₂×#1738	C₂³	semidirect
340. C₂×#1738	C₂³	semidirect
341. C₂×#1738	C₂³	semidirect
342. #20347	C₂³	semidirect
343. C₂×#1733	C₂³	semidirect
344. C₂×#1733	C₂³	semidirect
345. C₂×#1733	C₂³	semidirect
346. C₂×#1733	C₂³	semidirect
347. C₂×#1733	C₂³	semidirect
348. C₂×#1733	C₂³	semidirect
349. C₂²×#338	C₂³	semidirect
350. C₂²×#338	C₂³	semidirect
351. C₂²×H(3,ℤ/4)	C₂³	semidirect
352. C₂²×H(3,ℤ/4)	C₂³	semidirect
353. C₂²×H(3,ℤ/4)	C₂³	semidirect
354. C₂²×H(3,ℤ/4)	C₂³	semidirect
355. C₂²×H(3,ℤ/4)	C₂³	semidirect
356. C₂²×H(3,ℤ/4)	C₂³	semidirect
357. #20335	C₂³	semidirect
358. #20335	C₂³	semidirect
400. C₂²×#137	C₂×D₄	semidirect
412. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
437. C₂²×#127	C₂×D₄	semidirect
438. C₂²×#124	C₂×D₄	semidirect
461. C₂×#421	C₂×D₄	semidirect
463. C₂²×#104	C₂×D₄	semidirect
466. #2896	C₂×D₄	semidirect
475. C₂×#418	C₂×D₄	semidirect
476. C₂×#418	C₂×D₄	semidirect
478. C₂×#413	C₂×D₄	semidirect
479. C₂²×#100	C₂×D₄	semidirect
480. C₂²×#100	C₂×D₄	semidirect
481. C₂×#410	C₂×D₄	semidirect
488. #2309	C₂×D₄	semidirect
491. C₂×2₋¹⁺⁴	#120	semidirect
493. C₂×H(5,𝔽₂)	#120	semidirect
577. C₂×#137	#120	semidirect
579. C₂×AGL(1,ℤ/8)	#120	semidirect
580. C₂²×Q₁₆	#120	semidirect
582. C₂²×SD₁₆	#120	semidirect
583. C₂²×SD₁₆	#120	semidirect
585. C₂²×D₈	#120	semidirect
606. #536	#120	semidirect
607. #535	#120	semidirect

Maximal subgroups

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

subgroup	index
#72256170	2
#72256143	2
#72256104	2
#72256090	2
#72256020	2
#72255959	2
#72255862	2
#72255812	2
#72255762	2
#72255664	2
#72255594	2
#72252197	2
#72252173	2
#72252159	2
#72252133	2
#72252128	2
#72252105	2
#72252095	2
#72252094	2
C₂×#359681	2
C₂×#417718	2
C₂×#6437950	2
#72250500	2
#72239625	2
C₂×#359649	2
#72236737	2
C₂×#417670	2
C₂×#392132	2
C₂×#10574840	2
C₂×#6628867	2
C₂×#394108	2