Subgroups — #72262695

Order 2048.

At least 18625 conjugacy classes of subgroups; only the 1568 normal subgroups are shown.

The subgroup lattice has 1070 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72256354	C₂	1	1	yes	maximal, characteristic, complemented
2	#72256324	C₂	1	1	yes	maximal, characteristic, complemented
3	#72256313	C₂	1	1	yes	maximal, characteristic, complemented
4	#72256295	C₂	1	1	yes	maximal, characteristic, complemented
5	#72256104	C₂	1	1	yes	maximal, characteristic, complemented
6	#72256073	C₂	1	1	yes	maximal, characteristic, complemented
7	#72256045	C₂	1	1	yes	maximal, characteristic, complemented
8	#72256020	C₂	1	1	yes	maximal, characteristic, complemented
9	#72255954	C₂	1	1	yes	maximal, characteristic, complemented
10	#72252209	C₂	1	1	yes	maximal, characteristic, complemented
11	#72252195	C₂	1	1	yes	maximal, characteristic, complemented
12	#72252180	C₂	1	1	yes	maximal, characteristic, complemented
13	#72252180	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#449600	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#417617	C₂	1	1	yes	maximal, characteristic, complemented
16	#72251301	C₂	1	1	yes	maximal, characteristic, complemented
17	#72251207	C₂	1	1	yes	maximal, characteristic, complemented
18	#72251128	C₂	1	1	yes	maximal, characteristic, complemented
19	#72250505	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#10575416	C₂	1	1	yes	maximal, characteristic, complemented
21	#72239650	C₂	1	1	yes	maximal, characteristic, complemented
22	#72237714	C₂	1	1	yes	maximal, characteristic, complemented
23	#72237709	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237667	C₂	1	1	yes	maximal, characteristic, complemented
25	#72237236	C₂	1	1	yes	maximal, characteristic, complemented
26	#72236790	C₂	1	1	yes	maximal, characteristic, complemented
27	#72236785	C₂	1	1	yes	maximal, characteristic, complemented
28	#72236780	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#6437616	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#394108	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#393988	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#62811	C₂²	1	1	yes	characteristic, complemented
33	C₂³×#525	C₂²	1	1	yes	characteristic
34	C₂³×#525	C₂²	1	1	yes	characteristic, complemented
35	C₂×#60511	C₂²	1	1	yes	characteristic
36	C₂×#60511	C₂²	1	1	yes	characteristic, complemented
37	C₂×#60511	C₂²	1	1	yes	characteristic, complemented
38	C₂×#60511	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60444	C₂²	1	1	yes	characteristic
40	C₂×#60444	C₂²	1	1	yes	characteristic
41	C₂×#60444	C₂²	1	1	yes	characteristic, complemented
42	C₂×#60444	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#3025	C₂²	1	1	yes	characteristic
44	C₂²×#3025	C₂²	1	1	yes	characteristic, complemented
45	#10574839	C₂²	1	1	yes	characteristic, complemented
46	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
47	C₂×#60359	C₂²	1	1	yes	characteristic
48	C₂×#60359	C₂²	1	1	yes	characteristic
49	C₂×#60359	C₂²	1	1	yes	characteristic
50	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
51	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
52	C₂³×#407	C₂²	1	1	yes	characteristic, complemented
53	C₂×#36614	C₂²	1	1	yes	characteristic
54	C₂×#36614	C₂²	1	1	yes	characteristic
55	#7628649	C₂²	1	1	yes	characteristic, complemented
56	C₂×#23443	C₂²	1	1	yes	characteristic
57	C₂×#23443	C₂²	1	1	yes	characteristic
58	C₂×#23443	C₂²	1	1	yes	characteristic
59	C₂×#23443	C₂²	1	1	yes	characteristic
60	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
61	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
62	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
63	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
64	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#2010	C₂²	1	1	yes	characteristic
66	C₂²×#2010	C₂²	1	1	yes	characteristic
67	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
69	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
70	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
71	#6431722	C₂²	1	1	yes	characteristic, complemented
72	C₂×#21000	C₂²	1	1	yes	characteristic, complemented
73	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20989	C₂²	1	1	yes	characteristic, complemented
75	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
77	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
78	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
79	#6371477	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20959	C₂²	1	1	yes	characteristic
81	C₂×#20959	C₂²	1	1	yes	characteristic, complemented
82	C₂×#20902	C₂²	1	1	yes	characteristic, complemented
83	#6371361	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
85	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
86	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
87	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
88	#6370715	C₂²	1	1	yes	characteristic, complemented
89	C₂×#20584	C₂²	1	1	yes	characteristic, complemented
90	C₂×#20584	C₂²	1	1	yes	characteristic, complemented
91	C₂×#20579	C₂²	1	1	yes	characteristic, complemented
92	#607558	C₂²	1	1	yes	characteristic, complemented
93	C₂×#11186	C₂²	1	1	yes	characteristic, complemented
94	C₂×#11180	C₂²	1	1	yes	characteristic, complemented
95	C₂×#11178	C₂²	1	1	yes	characteristic, complemented
96	#357928	C₂²	1	1	yes	characteristic, complemented
97	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
98	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
99	C₂×#11132	C₂²	1	1	yes	characteristic, complemented
100	#357809	C₂²	1	1	yes	characteristic, complemented
101	C₂×#11119	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11115	C₂²	1	1	yes	characteristic, complemented
103	C₂×#11102	C₂²	1	1	yes	characteristic, complemented
104	#357677	C₂²	1	1	yes	characteristic, complemented
105	#357593	C₂²	1	1	yes	characteristic, complemented
106	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
107	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
108	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
109	#357586	C₂²	1	1	yes	characteristic, complemented
110	#357586	C₂²	1	1	yes	characteristic, complemented
111	#357577	C₂²	1	1	yes	characteristic, complemented
112	#357564	C₂²	1	1	yes	characteristic, complemented
113	#357564	C₂²	1	1	yes	characteristic, complemented
114	#357561	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
116	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
118	#357556	C₂²	1	1	yes	characteristic, complemented
119	C₂×#10994	C₂²	1	1	yes	characteristic
120	C₂×#10994	C₂²	1	1	yes	characteristic
121	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
122	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
123	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
124	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
125	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
126	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
127	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
128	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
129	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
130	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
131	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
132	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
133	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
134	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
135	#357536	C₂²	1	1	yes	characteristic, complemented
136	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
137	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
138	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
139	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
140	#357529	C₂²	1	1	yes	characteristic, complemented
141	#357529	C₂²	1	1	yes	characteristic, complemented
142	#357529	C₂²	1	1	yes	characteristic, complemented
143	#357529	C₂²	1	1	yes	characteristic, complemented
144	#357524	C₂²	1	1	yes	characteristic, complemented
145	#357524	C₂²	1	1	yes	characteristic, complemented
146	#357475	C₂²	1	1	yes	characteristic, complemented
147	#357475	C₂²	1	1	yes	characteristic, complemented
148	#357470	C₂²	1	1	yes	characteristic, complemented
149	#353468	C₂²	1	1	yes	characteristic, complemented
150	C₂×#10737	C₂²	1	1	yes	characteristic, complemented
151	#353407	C₂²	1	1	yes	characteristic, complemented
152	#353397	C₂²	1	1	yes	characteristic, complemented
153	#353386	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
155	C₂×#10729	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10717	C₂²	1	1	yes	characteristic, complemented
157	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
158	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
159	#123991	C₂²	1	1	yes	characteristic, complemented
160	#123983	C₂²	1	1	yes	characteristic, complemented
161	#123975	C₂²	1	1	yes	characteristic, complemented
162	#123975	C₂²	1	1	yes	characteristic, complemented
163	#123940	C₂²	1	1	yes	characteristic, complemented
164	#123926	C₂²	1	1	yes	characteristic, complemented
165	#123926	C₂²	1	1	yes	characteristic, complemented
166	#123904	C₂²	1	1	yes	characteristic, complemented
167	#123643	C₂²	1	1	yes	characteristic, complemented
168	#123643	C₂²	1	1	yes	characteristic, complemented
169	#123637	C₂²	1	1	yes	characteristic, complemented
170	#123637	C₂²	1	1	yes	characteristic, complemented
171	#123637	C₂²	1	1	yes	characteristic, complemented
172	#123627	C₂²	1	1	yes	characteristic, complemented
173	#123623	C₂²	1	1	yes	characteristic, complemented
174	#123618	C₂²	1	1	yes	characteristic, complemented
175	#123616	C₂²	1	1	yes	characteristic, complemented
176	#123616	C₂²	1	1	yes	characteristic, complemented
177	#123610	C₂²	1	1	yes	characteristic, complemented
178	#123568	C₂²	1	1	yes	characteristic, complemented
179	#123535	C₂²	1	1	yes	characteristic, complemented
180	#123535	C₂²	1	1	yes	characteristic, complemented
181	#123535	C₂²	1	1	yes	characteristic, complemented
182	#123535	C₂²	1	1	yes	characteristic, complemented
183	#123531	C₂²	1	1	yes	characteristic, complemented
184	#123531	C₂²	1	1	yes	characteristic, complemented
185	#123531	C₂²	1	1	yes	characteristic, complemented
186	#123531	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
188	C₂⁴×#41	C₂³	1	1	yes	characteristic
189	C₂⁴×#41	C₂³	1	1	yes	characteristic
190	C₂⁶×C₄	C₂³	1	1	yes	characteristic
191	C₂²×#575	C₂³	1	1	yes	characteristic
192	C₂²×#575	C₂³	1	1	yes	characteristic
193	C₂²×#575	C₂³	1	1	yes	characteristic
194	C₂²×#575	C₂³	1	1	yes	characteristic
195	C₂²×#575	C₂³	1	1	yes	characteristic
196	C₂²×#575	C₂³	1	1	yes	characteristic
197	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
198	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
199	C₂×#3449	C₂³	1	1	yes	characteristic
200	C₂×#3449	C₂³	1	1	yes	characteristic
201	C₂×#3449	C₂³	1	1	yes	characteristic
202	C₂×#3449	C₂³	1	1	yes	characteristic
203	C₂²×#525	D₄	1	8	yes	complemented
204	C₂²×#525	C₂³	1	1	yes	characteristic
205	C₂²×#525	C₂³	1	1	yes	characteristic
206	C₂²×#525	C₂³	1	1	yes	characteristic
207	C₂²×#525	C₂³	1	1	yes	characteristic
208	C₂²×#525	C₂³	1	1	yes	characteristic
209	C₂²×#525	C₂³	1	1	yes	characteristic
210	C₂²×#525	C₂³	1	1	yes	characteristic
211	C₂²×#525	C₂³	1	1	yes	characteristic
212	C₂²×#525	C₂³	1	1	yes	characteristic
213	C₂²×#525	C₂³	1	1	yes	characteristic
214	C₂²×#525	C₂³	1	1	yes	characteristic
215	C₂²×#525	C₂³	1	1	yes	characteristic
216	C₂²×#525	C₂³	1	1	yes	characteristic
217	C₂²×#525	C₂³	1	1	yes	characteristic
218	C₂×#3428	C₂³	1	1	yes	characteristic
219	C₂³×#117	C₂³	1	1	yes	characteristic
220	C₂³×#117	C₂³	1	1	yes	characteristic
221	#60511	D₄	1	8	yes	complemented
222	#60444	D₄	1	8	yes	complemented
223	C₂×#3054	D₄	1	4	yes	complemented
224	C₂×#3050	D₄	1	4	yes	complemented
225	#60359	D₄	1	8	yes	complemented
226	C₂×#3005	D₄	1	2	yes	complemented
227	C₂×#3005	D₄	1	2	yes	complemented
228	C₂×#3005	D₄	1	2	yes	complemented
229	C₂×#3005	D₄	1	2	yes	complemented
230	C₂×#3004	D₄	1	2	yes	complemented
231	C₂×#3004	D₄	1	2	yes	complemented
232	C₂×#3003	D₄	1	2	yes	complemented
233	C₂×#3003	D₄	1	2	yes	complemented
234	C₂×#2911	C₂³	1	1	yes	characteristic
235	C₂×#2911	C₂³	1	1	yes	characteristic
236	C₂×#2911	C₂³	1	1	yes	characteristic
237	C₂×#2911	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	C₂×#2896	C₂³	1	1	yes	characteristic
251	C₂×#2896	C₂³	1	1	yes	characteristic
252	C₂×#2896	C₂³	1	1	yes	characteristic
253	C₂×#2896	C₂³	1	1	yes	characteristic
254	C₂×#2896	C₂³	1	1	yes	characteristic
255	C₂×#2896	C₂³	1	1	yes	characteristic
256	C₂×#2896	C₂³	1	1	yes	characteristic
257	C₂×#2896	C₂³	1	1	yes	characteristic
258	C₂×#2896	C₂³	1	1	yes	characteristic
259	C₂×#2896	C₂³	1	1	yes	characteristic
260	C₂×#2896	C₂³	1	1	yes	characteristic
261	C₂×#2896	C₂³	1	1	yes	characteristic
262	C₂×#2896	C₂³	1	1	yes	characteristic
263	C₂×#2896	C₂³	1	1	yes	characteristic
264	C₂×#2896	C₂³	1	1	yes	characteristic
265	C₂×#2896	C₂³	1	1	yes	characteristic
266	C₂²×#413	C₂³	1	1	yes	characteristic
267	C₂²×#413	C₂³	1	1	yes	characteristic
268	C₂²×#410	C₂³	1	1	yes	characteristic
269	C₂²×#410	C₂³	1	1	yes	characteristic
270	C₂²×#410	C₂³	1	1	yes	characteristic
271	C₂²×#410	C₂³	1	1	yes	characteristic
272	C₂²×#410	C₂³	1	1	yes	characteristic
273	C₂²×#410	C₂³	1	1	yes	characteristic
274	C₂²×#410	C₂³	1	1	yes	characteristic
275	C₂²×#410	C₂³	1	1	yes	characteristic
276	C₂²×#410	C₂³	1	1	yes	characteristic
277	C₂²×#410	C₂³	1	1	yes	characteristic
278	C₂²×#410	C₂³	1	1	yes	characteristic
279	C₂²×#410	C₂³	1	1	yes	characteristic
280	C₂²×#410	C₂³	1	1	yes	characteristic
281	C₂²×#410	C₂³	1	1	yes	characteristic
282	C₂×#2879	C₂³	1	1	yes	characteristic
283	C₂×#2879	C₂³	1	1	yes	characteristic
284	C₂²×#407	C₂³	1	1	yes	characteristic
285	C₂²×#407	C₂³	1	1	yes	characteristic
286	C₂²×#407	C₂³	1	1	yes	characteristic
287	C₂²×#407	C₂³	1	1	yes	characteristic
288	C₂²×#407	C₂³	1	1	yes	characteristic
289	C₂²×#407	C₂³	1	1	yes	characteristic
290	C₂²×#407	C₂³	1	1	yes	characteristic
291	C₂²×#407	C₂³	1	1	yes	characteristic
292	C₂²×#407	C₂³	1	1	yes	characteristic
293	C₂²×#407	C₂³	1	1	yes	characteristic
294	#36614	D₄	1	8	yes	complemented
295	C₂×#2849	D₄	1	2	yes	—
296	C₂×#2849	D₄	1	2	yes	—
297	C₂×#2849	D₄	1	2	yes	—
298	C₂×#2846	D₄	1	2	yes	—
299	#34044	C₂³	1	1	yes	characteristic
300	#34044	C₂³	1	1	yes	characteristic
301	C₂×#2280	C₂³	1	1	yes	characteristic
302	C₂×#2280	C₂³	1	1	yes	characteristic
303	C₂×#2280	C₂³	1	1	yes	characteristic
304	C₂×#2280	C₂³	1	1	yes	characteristic
305	C₂×#2280	C₂³	1	1	yes	characteristic
306	C₂×#2280	C₂³	1	1	yes	characteristic
307	C₂×#2280	C₂³	1	1	yes	characteristic
308	C₂×#2280	C₂³	1	1	yes	characteristic
309	C₂×#2280	C₂³	1	1	yes	characteristic
310	C₂×#2280	C₂³	1	1	yes	characteristic
311	C₂×#2280	C₂³	1	1	yes	characteristic
312	C₂×#2280	C₂³	1	1	yes	characteristic
313	C₂²×#344	C₂³	1	1	yes	characteristic
314	C₂²×#344	C₂³	1	1	yes	characteristic
315	C₂²×#344	C₂³	1	1	yes	characteristic
316	C₂²×#344	C₂³	1	1	yes	characteristic
317	C₂²×#344	C₂³	1	1	yes	characteristic
318	C₂²×#344	C₂³	1	1	yes	characteristic
319	C₂²×#344	C₂³	1	1	yes	characteristic
320	C₂²×#344	C₂³	1	1	yes	characteristic
321	C₂×#1742	C₂³	1	1	yes	characteristic
322	C₂×#1742	C₂³	1	1	yes	characteristic
323	C₂×#1740	C₂³	1	1	yes	characteristic
324	C₂×#1740	C₂³	1	1	yes	characteristic
325	C₂×#1740	C₂³	1	1	yes	characteristic
326	C₂×#1740	C₂³	1	1	yes	characteristic
327	C₂×#1740	C₂³	1	1	yes	characteristic
328	C₂×#1740	C₂³	1	1	yes	characteristic
329	C₂×#1740	C₂³	1	1	yes	characteristic
330	C₂×#1740	C₂³	1	1	yes	characteristic
331	C₂×#1740	C₂³	1	1	yes	characteristic
332	C₂×#1740	C₂³	1	1	yes	characteristic
333	#20347	C₂³	1	1	yes	characteristic
334	#20347	C₂³	1	1	yes	characteristic
335	C₂×#1733	C₂³	1	1	yes	characteristic
336	C₂×#1733	C₂³	1	1	yes	characteristic
337	C₂×#1733	C₂³	1	1	yes	characteristic
338	C₂×#1733	C₂³	1	1	yes	characteristic
339	C₂×#1733	C₂³	1	1	yes	characteristic
340	C₂×#1733	C₂³	1	1	yes	characteristic
341	C₂×#1733	C₂³	1	1	yes	characteristic
342	C₂×#1733	C₂³	1	1	yes	characteristic
343	C₂×#1733	C₂³	1	1	yes	characteristic
344	C₂×#1733	C₂³	1	1	yes	characteristic
345	C₂×#1733	C₂³	1	1	yes	characteristic
346	C₂×#1733	C₂³	1	1	yes	characteristic
347	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
348	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
349	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
350	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
351	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
352	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
353	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
354	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
355	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
356	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
357	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
358	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
359	#20335	C₂³	1	1	yes	characteristic
360	#20335	C₂³	1	1	yes	characteristic
361	C₂⁷	C₂×D₄	1	1	yes	characteristic
362	C₂³×#41	C₂×D₄	1	4	yes	—
363	C₂³×#41	C₂×D₄	1	4	yes	—
364	C₂³×#41	C₂×D₄	1	1	yes	characteristic
365	C₂³×#41	C₂×D₄	1	1	yes	characteristic
366	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
367	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
368	C₂³×#41	C₂⁴	1	1	yes	characteristic
369	C₂³×#41	C₂⁴	1	1	yes	characteristic
370	C₂³×#41	C₂⁴	1	1	yes	characteristic
371	C₂³×#41	C₂⁴	1	1	yes	characteristic
372	C₂³×#41	C₂⁴	1	1	yes	characteristic
373	C₂³×#41	C₂⁴	1	1	yes	characteristic
374	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
375	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
376	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
377	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
378	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
379	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
380	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
381	C₂⁵×C₄	C₂×D₄	1	4	yes	—
382	C₂⁵×C₄	C₂×D₄	1	4	yes	—
383	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
384	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
385	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
386	C₂×#575	C₂×D₄	1	4	yes	—
387	C₂×#575	C₂×D₄	1	4	yes	—
388	C₂×#575	C₂×D₄	1	4	yes	—
389	C₂²×#137	C₂×D₄	1	2	yes	—
390	C₂²×#137	C₂×D₄	1	2	yes	—
391	C₂²×#137	C₂×D₄	1	2	yes	—
392	C₂²×#137	C₂×D₄	1	2	yes	—
393	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
394	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
395	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
396	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
397	C₂²×#135	C₂×D₄	1	4	yes	—
398	C₂³×M₁₆	C₂×D₄	1	4	yes	complemented
399	C₂³×M₁₆	C₂×D₄	1	2	yes	complemented
400	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
401	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
402	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
403	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
404	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
405	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
406	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
407	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
408	C₂⁴×C₈	C₂×D₄	1	2	yes	complemented
409	C₂×#525	C₂×D₄	1	4	yes	—
410	C₂×#525	C₂×D₄	1	4	yes	—
411	C₂×#525	C₂×D₄	1	2	yes	—
412	C₂×#525	C₂×D₄	1	2	yes	—
413	C₂×#525	C₂×D₄	1	4	yes	—
414	C₂×#525	C₂×D₄	1	4	yes	—
415	C₂×#525	C₂×D₄	1	4	yes	—
416	C₂×#525	C₂×D₄	1	4	yes	—
417	C₂×#525	C₂×D₄	1	2	yes	—
418	C₂×#525	C₂×D₄	1	2	yes	—
419	C₂×#525	C₂×D₄	1	4	yes	—
420	C₂×#525	C₂×D₄	1	4	yes	—
421	C₂×#525	C₂×D₄	1	2	yes	—
422	C₂×#525	C₂×D₄	1	2	yes	—
423	C₂×#525	C₂×D₄	1	4	yes	—
424	C₂×#525	C₂×D₄	1	4	yes	—
425	C₂×#525	C₂×D₄	1	2	yes	complemented
426	C₂×#525	C₂×D₄	1	2	yes	complemented
427	C₂×#525	C₂×D₄	1	4	yes	complemented
428	C₂²×#123	C₂×D₄	1	2	yes	—
429	C₂²×#123	C₂×D₄	1	2	yes	—
430	C₂²×#123	C₂×D₄	1	2	yes	—
431	C₂²×#120	C₂×D₄	1	2	yes	—
432	C₂²×#120	C₂×D₄	1	2	yes	—
433	C₂²×#120	C₂×D₄	1	2	yes	—
434	C₂²×#117	C₂×D₄	1	4	yes	—
435	C₂²×#117	C₂×D₄	1	4	yes	complemented
436	C₂²×#117	C₂⁴	1	1	yes	characteristic
437	C₂²×#117	C₂⁴	1	1	yes	characteristic
438	C₂²×#117	C₂⁴	1	1	yes	characteristic
439	C₂²×#117	C₂⁴	1	1	yes	characteristic
440	C₂²×#117	C₂⁴	1	1	yes	characteristic
441	C₂²×#117	C₂⁴	1	1	yes	characteristic
442	C₂²×#117	C₂⁴	1	1	yes	characteristic
443	C₂²×#117	C₂⁴	1	1	yes	characteristic
444	C₂²×#117	C₂⁴	1	1	yes	characteristic
445	C₂²×#117	C₂⁴	1	1	yes	characteristic
446	C₂²×#117	C₂⁴	1	1	yes	characteristic
447	C₂²×#117	C₂⁴	1	1	yes	characteristic
448	C₂²×#117	C₂⁴	1	1	yes	characteristic
449	C₂²×#117	C₂⁴	1	1	yes	characteristic
450	#2911	C₂×D₄	1	4	yes	complemented
451	#2911	C₂×D₄	1	4	yes	complemented
452	#2911	C₂×D₄	1	4	yes	complemented
453	C₂×#427	C₂×D₄	1	4	yes	complemented
454	#2896	C₂×D₄	1	4	yes	—
455	#2896	C₂×D₄	1	4	yes	—
456	#2896	C₂×D₄	1	4	yes	—
457	#2896	C₂×D₄	1	4	yes	—
458	#2896	C₂×D₄	1	4	yes	—
459	#2896	C₂×D₄	1	4	yes	complemented
460	C₂×#419	C₂×D₄	1	2	yes	—
461	C₂×#419	C₂×D₄	1	2	yes	—
462	C₂×#419	C₂×D₄	1	2	yes	complemented
463	C₂×#419	C₂×D₄	1	2	yes	complemented
464	C₂×#418	C₂×D₄	1	2	yes	—
465	C₂×#418	C₂×D₄	1	2	yes	—
466	C₂×#418	C₂×D₄	1	2	yes	complemented
467	C₂×#418	C₂×D₄	1	2	yes	complemented
468	C₂×#416	C₂×D₄	1	4	yes	—
469	C₂×#416	C₂×D₄	1	4	yes	complemented
470	C₂×#407	C₂×D₄	1	2	yes	—
471	C₂×#407	C₂×D₄	1	2	yes	—
472	C₂×#407	C₂×D₄	1	4	yes	—
473	C₂×#407	C₂×D₄	1	2	yes	complemented
474	C₂×#407	C₂×D₄	1	2	yes	complemented
475	C₂×#407	C₂×D₄	1	4	yes	complemented
476	#2280	C₂×D₄	1	4	yes	—
477	#2280	C₂×D₄	1	4	yes	—
478	#2280	C₂×D₄	1	4	yes	—
479	C₂×#381	C₂×D₄	1	2	yes	—
480	C₂×#381	C₂×D₄	1	2	yes	—
481	C₂×#381	C₂×D₄	1	2	yes	—
482	C₂×#379	C₂×D₄	1	2	yes	—
483	C₂×#379	C₂×D₄	1	2	yes	—
484	C₂×#379	C₂×D₄	1	2	yes	—
485	C₂⁶	#120	1	4	yes	—
486	C₂⁶	C₂²×D₄	1	1	yes	characteristic
487	C₂⁶	C₂²×D₄	1	1	yes	characteristic
488	C₂⁶	C₂²×D₄	1	1	yes	characteristic
489	C₂²×#41	#120	1	4	yes	complemented
490	C₂²×#41	#120	1	4	yes	complemented
491	C₂²×#41	C₂²×D₄	1	2	yes	—
492	C₂²×#41	C₂²×D₄	1	2	yes	—
493	C₂²×#41	C₂²×D₄	1	2	yes	—
494	C₂²×#41	C₂²×D₄	1	2	yes	—
495	C₂²×#41	C₂²×D₄	1	2	yes	—
496	C₂²×#41	C₂²×D₄	1	2	yes	—
497	C₂²×#41	C₂²×D₄	1	2	yes	—
498	C₂²×#41	C₂²×D₄	1	2	yes	—
499	C₂²×#41	C₂²×D₄	1	2	yes	—
500	C₂²×#41	C₂²×D₄	1	2	yes	—
501	C₂²×#41	C₂²×D₄	1	2	yes	—
502	C₂²×#41	C₂²×D₄	1	2	yes	—
503	C₂²×#41	C₂²×D₄	1	2	yes	—
504	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
505	C₂³×Q₈	#120	1	4	yes	complemented
506	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
507	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
508	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
509	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
510	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
511	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
512	C₂³×D₄	#120	1	4	yes	complemented
513	C₂³×D₄	C₂²×D₄	1	2	yes	—
514	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
515	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
516	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
517	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
518	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
519	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
520	C₂⁴×C₄	#120	1	4	yes	—
521	C₂⁴×C₄	#120	1	4	yes	—
522	C₂⁴×C₄	#120	1	4	yes	—
523	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
524	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
525	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
526	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
527	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
528	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
529	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
530	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
531	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
532	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
533	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
534	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
535	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
536	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
537	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
538	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
539	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
540	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
541	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
542	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
543	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
544	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
545	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
546	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
547	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
548	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
549	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
550	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
551	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
552	C₂×#137	#120	1	8	yes	complemented
553	C₂×AGL(1,ℤ/8)	#120	1	8	yes	complemented
554	C₂²×Q₁₆	#120	1	4	yes	complemented
555	C₂²×SD₁₆	#120	1	4	yes	complemented
556	C₂²×SD₁₆	#120	1	4	yes	complemented
557	C₂²×D₈	#120	1	4	yes	complemented
558	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
559	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
560	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
561	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
562	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
563	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
564	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
565	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
566	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
567	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
568	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
569	C₂³×C₈	C₂²×D₄	1	2	yes	—
570	C₂³×C₈	C₂²×D₄	1	2	yes	—
571	C₂³×C₈	H(5,𝔽₂)	1	2	yes	—
572	#525	#120	1	8	yes	—
573	#525	#120	1	8	yes	—
574	#525	#120	1	8	yes	complemented
575	#525	#120	1	8	yes	complemented
576	C₂×#117	C₂²×D₄	1	2	yes	—
577	C₂×#117	C₂²×D₄	1	2	yes	—
578	C₂×#117	C₂²×D₄	1	2	yes	—
579	C₂×#117	C₂²×D₄	1	2	yes	—
580	C₂×#117	C₂²×D₄	1	2	yes	—
581	C₂×#117	C₂²×D₄	1	2	yes	—
582	C₂×#117	C₂²×D₄	1	2	yes	—
583	C₂×#117	C₂²×D₄	1	2	yes	—
584	C₂×#117	C₂²×D₄	1	2	yes	—
585	C₂×#117	C₂²×D₄	1	2	yes	—
586	C₂×#117	C₂²×D₄	1	2	yes	—
587	C₂×#117	C₂²×D₄	1	2	yes	—
588	C₂×#117	C₂²×D₄	1	2	yes	—
589	C₂×#117	C₂²×D₄	1	2	yes	—
590	C₂×#117	C₂²×D₄	1	2	yes	—
591	C₂×#117	H(5,𝔽₂)	1	2	yes	—
592	C₂×#117	H(5,𝔽₂)	1	2	yes	—
593	C₂×#117	H(5,𝔽₂)	1	2	yes	—
594	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
595	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
596	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
597	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
598	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
599	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
600	#419	#120	1	8	yes	complemented
601	#418	#120	1	8	yes	complemented
602	#416	#120	1	16	yes	complemented
603	C₂⁵	C₂×#120	1	2	yes	—
604	C₂⁵	C₂×#120	1	2	yes	—
605	C₂⁵	C₂×#120	1	2	yes	—
606	C₂⁵	#534	1	2	yes	—
607	C₂⁵	D₄²	1	1	yes	characteristic
608	C₂⁵	D₄²	1	1	yes	characteristic
609	C₂⁵	D₄²	1	1	yes	characteristic
610	C₂⁵	D₄²	1	2	yes	—
611	C₂⁵	D₄²	1	1	yes	characteristic
612	C₂⁵	D₄²	1	1	yes	characteristic
613	C₂⁵	D₄²	1	2	yes	—
614	C₂⁵	D₄²	1	1	yes	characteristic
615	C₂⁵	D₄²	1	2	yes	—
616	C₂⁵	C₂³×D₄	1	1	yes	characteristic
617	C₂×#41	C₂×#120	1	4	yes	—
618	C₂×#41	C₂×#120	1	4	yes	—
619	C₂×#41	C₂×#120	1	4	yes	—
620	C₂×#41	C₂×#120	1	4	yes	—
621	C₂²×Q₈	C₂×#120	1	2	yes	—
622	C₂²×Q₈	C₂×#120	1	2	yes	—
623	C₂²×Q₈	C₂×#120	1	2	yes	—
624	C₂²×Q₈	C₂×#120	1	2	yes	—
625	C₂²×Q₈	C₂×#120	1	2	yes	—
626	C₂²×Q₈	C₂×#120	1	2	yes	—
627	C₂²×Q₈	#534	1	2	yes	—
628	C₂²×D₄	C₂×#120	1	2	yes	—
629	C₂²×D₄	C₂×#120	1	2	yes	—
630	C₂²×D₄	C₂×#120	1	2	yes	—
631	C₂²×D₄	C₂×#120	1	2	yes	—
632	C₂²×D₄	C₂×#120	1	2	yes	—
633	C₂²×D₄	C₂×#120	1	2	yes	—
634	C₂²×D₄	#534	1	2	yes	—
635	C₂³×C₄	C₂×#120	1	2	yes	—
636	C₂³×C₄	C₂×#120	1	2	yes	—
637	C₂³×C₄	C₂×#120	1	2	yes	—
638	C₂³×C₄	C₂×#120	1	2	yes	—
639	C₂³×C₄	C₂×#120	1	2	yes	—
640	C₂³×C₄	C₂×#120	1	2	yes	—
641	C₂³×C₄	C₂×#120	1	2	yes	—
642	C₂³×C₄	C₂×#120	1	2	yes	—
643	C₂³×C₄	C₂×#120	1	2	yes	—
644	C₂³×C₄	#534	1	2	yes	—
645	C₂³×C₄	#534	1	2	yes	—
646	C₂³×C₄	#534	1	2	yes	—
647	C₂³×C₄	#534	1	2	yes	—
648	C₂³×C₄	#534	1	2	yes	—
649	C₂³×C₄	#534	1	2	yes	—
650	C₂³×C₄	#534	1	2	yes	—
651	C₂³×C₄	D₄²	1	1	yes	characteristic
652	C₂³×C₄	D₄²	1	1	yes	characteristic
653	C₂³×C₄	D₄²	1	2	yes	—
654	C₂³×C₄	D₄²	1	2	yes	—
655	C₂³×C₄	D₄²	1	2	yes	—
656	C₂³×C₄	D₄²	1	1	yes	characteristic
657	C₂³×C₄	D₄²	1	1	yes	characteristic
658	C₂³×C₄	D₄²	1	1	yes	characteristic
659	C₂³×C₄	D₄²	1	1	yes	characteristic
660	C₂³×C₄	D₄²	1	2	yes	—
661	C₂³×C₄	D₄²	1	2	yes	—
662	C₂³×C₄	D₄²	1	2	yes	—
663	C₂³×C₄	D₄²	1	2	yes	—
664	C₂³×C₄	D₄²	1	2	yes	—
665	C₂³×C₄	D₄²	1	2	yes	—
666	C₂³×C₄	D₄²	1	2	yes	—
667	C₂³×C₄	D₄²	1	2	yes	—
668	C₂³×C₄	D₄²	1	2	yes	—
669	C₂³×C₄	D₄²	1	2	yes	—
670	C₂³×C₄	D₄²	1	2	yes	—
671	C₂³×C₄	D₄²	1	2	yes	—
672	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
673	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
674	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
675	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
676	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
677	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
678	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
679	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
680	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
683	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
685	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
686	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
688	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
689	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
690	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
692	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
694	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
695	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
696	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
697	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
698	C₂³×C₄	#585	1	1	yes	characteristic
699	C₂³×C₄	#585	1	1	yes	characteristic
700	C₂³×C₄	#585	1	1	yes	characteristic
701	C₂³×C₄	#585	1	1	yes	characteristic
702	C₂×M₁₆	C₂×#120	1	4	yes	—
703	C₂×M₁₆	C₂×#120	1	4	yes	—
704	C₂²×C₈	C₂×#120	1	4	yes	—
705	C₂²×C₈	C₂×#120	1	4	yes	—
706	#117	C₂×#120	1	4	yes	—
707	#117	C₂×#120	1	4	yes	—
708	#117	C₂×#120	1	4	yes	—
709	#117	C₂×#120	1	4	yes	—
710	C₂×C₂²⋊C₄	#534	1	4	yes	—
711	C₂×C₄²	#534	1	4	yes	—
712	C₂⁴	#2403	1	2	yes	—
713	C₂⁴	#2403	1	2	yes	—
714	C₂⁴	#2403	1	2	yes	—
715	C₂⁴	#2403	1	2	yes	—
716	C₂⁴	#2403	1	2	yes	—
717	C₂⁴	#2403	1	2	yes	—
718	C₂⁴	C₂²×#120	1	1	yes	characteristic
719	C₂⁴	C₂×#534	1	1	yes	characteristic
720	C₂⁴	C₂×#534	1	1	yes	characteristic
721	C₂⁴	C₂×D₄²	1	1	yes	characteristic
722	C₂⁴	C₂×D₄²	1	1	yes	characteristic
723	C₂⁴	C₂×D₄²	1	1	yes	characteristic
724	C₂⁴	C₂×D₄²	1	1	yes	characteristic
725	C₂⁴	C₂×D₄²	1	1	yes	characteristic
726	C₂⁴	C₂×D₄²	1	1	yes	characteristic
727	C₂⁴	#3484	1	1	yes	characteristic
728	C₂⁴	#3484	1	1	yes	characteristic
729	C₂⁴	#3484	1	1	yes	characteristic
730	C₂⁴	#3485	1	1	yes	characteristic
731	C₂⁴	#3496	1	1	yes	characteristic
732	C₂⁴	#3496	1	1	yes	characteristic
733	C₂×Q₈	#2846	1	4	yes	—
734	C₂×D₄	#2846	1	4	yes	—
735	C₂²×C₄	#2403	1	2	yes	—
736	C₂²×C₄	#2403	1	2	yes	—
737	C₂²×C₄	#2403	1	2	yes	—
738	C₂²×C₄	#2403	1	2	yes	—
739	C₂²×C₄	#2403	1	2	yes	—
740	C₂²×C₄	#2403	1	2	yes	—
741	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
742	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
743	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
744	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
745	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
746	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
747	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
748	C₂²×C₄	C₂×#534	1	1	yes	characteristic
749	C₂²×C₄	C₂×#534	1	1	yes	characteristic
750	C₂²×C₄	C₂×#534	1	1	yes	characteristic
751	C₂²×C₄	C₂×#534	1	1	yes	characteristic
752	C₂²×C₄	C₂×#534	1	1	yes	characteristic
753	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
754	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
755	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
756	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
757	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
758	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
759	C₂²×C₄	#3484	1	1	yes	characteristic
760	C₂²×C₄	#3484	1	1	yes	characteristic
761	C₂²×C₄	#3484	1	1	yes	characteristic
762	C₂²×C₄	#3484	1	1	yes	characteristic
763	C₂²×C₄	#3484	1	1	yes	characteristic
764	C₂²×C₄	#3484	1	1	yes	characteristic
765	C₂²×C₄	#3484	1	1	yes	characteristic
766	C₂²×C₄	#3484	1	1	yes	characteristic
767	C₂²×C₄	#3484	1	1	yes	characteristic
768	C₂²×C₄	#3484	1	1	yes	characteristic
769	C₂²×C₄	#3484	1	1	yes	characteristic
770	C₂²×C₄	#3484	1	1	yes	characteristic
771	C₂²×C₄	#3484	1	1	yes	characteristic
772	C₂²×C₄	#3484	1	1	yes	characteristic
773	C₂²×C₄	#3484	1	1	yes	characteristic
774	C₂²×C₄	#3484	1	1	yes	characteristic
775	C₂²×C₄	#3484	1	1	yes	characteristic
776	C₂²×C₄	#3484	1	1	yes	characteristic
777	C₂²×C₄	#3484	1	1	yes	characteristic
778	C₂²×C₄	#3484	1	1	yes	characteristic
779	C₂²×C₄	#3484	1	1	yes	characteristic
780	C₂²×C₄	#3484	1	1	yes	characteristic
781	C₂²×C₄	#3484	1	1	yes	characteristic
782	C₂²×C₄	#3484	1	1	yes	characteristic
783	C₂²×C₄	#3484	1	1	yes	characteristic
784	C₂²×C₄	#3484	1	1	yes	characteristic
785	C₂²×C₄	#3484	1	1	yes	characteristic
786	C₂²×C₄	#3484	1	1	yes	characteristic
787	C₂²×C₄	#3484	1	1	yes	characteristic
788	C₂²×C₄	#3484	1	1	yes	characteristic
789	C₂²×C₄	#3484	1	1	yes	characteristic
790	C₂²×C₄	#3484	1	1	yes	characteristic
791	C₂²×C₄	#3484	1	1	yes	characteristic
792	C₂²×C₄	#3484	1	1	yes	characteristic
793	C₂²×C₄	#3484	1	1	yes	characteristic
794	C₂²×C₄	#3484	1	1	yes	characteristic
795	C₂²×C₄	#3484	1	1	yes	characteristic
796	C₂²×C₄	#3485	1	1	yes	characteristic
797	C₂²×C₄	#3485	1	1	yes	characteristic
798	C₂²×C₄	#3485	1	1	yes	characteristic
799	C₂²×C₄	#3488	1	1	yes	characteristic
800	C₂²×C₄	#3488	1	1	yes	characteristic
801	C₂²×C₄	#3488	1	1	yes	characteristic
802	C₂²×C₄	#3488	1	1	yes	characteristic
803	C₂²×C₄	#3488	1	1	yes	characteristic
804	C₂²×C₄	#3488	1	1	yes	characteristic
805	C₂²×C₄	#3488	1	1	yes	characteristic
806	C₂²×C₄	#3488	1	1	yes	characteristic
807	C₂²×C₄	#3496	1	1	yes	characteristic
808	C₂²×C₄	#3496	1	1	yes	characteristic
809	C₂²×C₄	#3496	1	1	yes	characteristic
810	C₂²×C₄	#3496	1	1	yes	characteristic
811	C₂²×C₄	#3496	1	1	yes	characteristic
812	C₂²×C₄	#3496	1	1	yes	characteristic
813	C₂²×C₄	#3496	1	1	yes	characteristic
814	C₂²×C₄	#3496	1	1	yes	characteristic
815	C₂²×C₄	#3496	1	1	yes	characteristic
816	C₂²×C₄	#3496	1	1	yes	characteristic
817	C₂²×C₄	#3496	1	1	yes	characteristic
818	C₂²×C₄	#3496	1	1	yes	characteristic
819	C₂²×C₄	#3496	1	1	yes	characteristic
820	C₂²×C₄	#3496	1	1	yes	characteristic
821	C₂²×C₄	#3496	1	1	yes	characteristic
822	C₂²×C₄	#3496	1	1	yes	characteristic
823	C₂²×C₄	#3496	1	1	yes	characteristic
824	C₂²×C₄	#3496	1	1	yes	characteristic
825	C₂²×C₄	#3498	1	1	yes	characteristic
826	C₂²×C₄	#3498	1	1	yes	characteristic
827	C₂²×C₄	#3498	1	1	yes	characteristic
828	C₂²×C₄	#3498	1	1	yes	characteristic
829	C₂²×C₄	#3498	1	1	yes	characteristic
830	C₂²×C₄	#3498	1	1	yes	characteristic
831	C₂²×C₄	#3498	1	1	yes	characteristic
832	C₂²×C₄	#3498	1	1	yes	characteristic
833	C₂²×C₄	#3532	1	1	yes	characteristic
834	C₂²×C₄	#3532	1	1	yes	characteristic
835	C₂²×C₄	#3532	1	1	yes	characteristic
836	C₂²×C₄	#3532	1	1	yes	characteristic
837	C₂²×C₄	#3532	1	1	yes	characteristic
838	C₂²×C₄	#3532	1	1	yes	characteristic
839	C₂²×C₄	#3532	1	1	yes	characteristic
840	C₂²×C₄	#3532	1	1	yes	characteristic
841	C₂²×C₄	#3532	1	1	yes	characteristic
842	C₂²×C₄	#3532	1	1	yes	characteristic
843	C₂²×C₄	#3532	1	1	yes	characteristic
844	C₂²×C₄	#3532	1	1	yes	characteristic
845	C₂²×C₄	#3534	1	1	yes	characteristic
846	C₂²×C₄	#3534	1	1	yes	characteristic
847	C₂²×C₄	#3534	1	1	yes	characteristic
848	C₂²×C₄	#3534	1	1	yes	characteristic
849	C₂²×C₄	#3534	1	1	yes	characteristic
850	C₂²×C₄	#3534	1	1	yes	characteristic
851	C₂²×C₄	#3534	1	1	yes	characteristic
852	C₂²×C₄	#3534	1	1	yes	characteristic
853	C₂²×C₄	#3534	1	1	yes	characteristic
854	C₂²×C₄	#3534	1	1	yes	characteristic
855	C₂²×C₄	#3534	1	1	yes	characteristic
856	C₂²×C₄	#3534	1	1	yes	characteristic
857	C₂²×C₄	#3537	1	1	yes	characteristic
858	C₂²×C₄	#3537	1	1	yes	characteristic
859	C₂²×C₄	#3537	1	1	yes	characteristic
860	C₂²×C₄	#3537	1	1	yes	characteristic
861	C₂²×C₄	#3537	1	1	yes	characteristic
862	C₂²×C₄	#3537	1	1	yes	characteristic
863	C₂²×C₄	#3537	1	1	yes	characteristic
864	C₂²×C₄	#3537	1	1	yes	characteristic
865	C₂²×C₄	#3542	1	1	yes	characteristic
866	C₂²×C₄	#3542	1	1	yes	characteristic
867	C₂²×C₄	#3542	1	1	yes	characteristic
868	C₂²×C₄	#3542	1	1	yes	characteristic
869	C₂²×C₄	#3543	1	1	yes	characteristic
870	C₂²×C₄	#3543	1	1	yes	characteristic
871	C₂²×C₄	#3543	1	1	yes	characteristic
872	C₂²×C₄	#3543	1	1	yes	characteristic
873	C₂²×C₄	#3543	1	1	yes	characteristic
874	C₂²×C₄	#3543	1	1	yes	characteristic
875	C₂²×C₄	#3545	1	1	yes	characteristic
876	C₂²×C₄	#3545	1	1	yes	characteristic
877	C₂²×C₄	#3558	1	1	yes	characteristic
878	C₂²×C₄	#3558	1	1	yes	characteristic
879	C₂²×C₄	#3558	1	1	yes	characteristic
880	C₂²×C₄	#3558	1	1	yes	characteristic
881	C₂³	C₂×#2403	1	1	yes	characteristic
882	C₂³	C₂×#2403	1	1	yes	characteristic
883	C₂³	C₂×#2403	1	1	yes	characteristic
884	C₂³	#34980	1	1	yes	characteristic
885	C₂³	#34980	1	1	yes	characteristic
886	C₂³	#35347	1	1	yes	characteristic
887	C₂³	#35347	1	1	yes	characteristic
888	C₂³	D₄×#120	1	1	yes	characteristic
889	C₂³	D₄×#120	1	1	yes	characteristic
890	C₂³	D₄×#120	1	1	yes	characteristic
891	C₂³	D₄×#120	1	1	yes	characteristic
892	C₂³	#37644	1	1	yes	characteristic
893	C₂³	#37644	1	1	yes	characteristic
894	C₂³	#37644	1	1	yes	characteristic
895	C₂³	#37644	1	1	yes	characteristic
896	C₂³	#37644	1	1	yes	characteristic
897	C₂³	#37646	1	1	yes	characteristic
898	C₂³	#37672	1	1	yes	characteristic
899	C₂³	#37672	1	1	yes	characteristic
900	C₂³	#39336	1	1	yes	characteristic
901	C₂³	#39338	1	1	yes	characteristic
902	C₂³	#39358	1	1	yes	characteristic
903	C₂³	#39358	1	1	yes	characteristic
904	C₂³	#42996	1	1	yes	characteristic
905	C₂³	#42996	1	1	yes	characteristic
906	C₂³	#42996	1	1	yes	characteristic
907	C₂³	#42996	1	1	yes	characteristic
908	C₂³	#43001	1	1	yes	characteristic
909	C₂³	#43001	1	1	yes	characteristic
910	C₂³	#43017	1	1	yes	characteristic
911	C₂³	#43017	1	1	yes	characteristic
912	C₂³	#43023	1	1	yes	characteristic
913	C₂³	#43023	1	1	yes	characteristic
914	C₂³	#43886	1	1	yes	characteristic
915	C₂³	#43886	1	1	yes	characteristic
916	C₂×C₄	#34980	1	1	yes	characteristic
917	C₂×C₄	#34980	1	1	yes	characteristic
918	C₂×C₄	#34980	1	1	yes	characteristic
919	C₂×C₄	#35346	1	1	yes	characteristic
920	C₂×C₄	#35346	1	1	yes	characteristic
921	C₂×C₄	#35346	1	1	yes	characteristic
922	C₂×C₄	#35346	1	1	yes	characteristic
923	C₂×C₄	#35347	1	1	yes	characteristic
924	C₂×C₄	#35347	1	1	yes	characteristic
925	C₂×C₄	#35347	1	1	yes	characteristic
926	C₂×C₄	#35347	1	1	yes	characteristic
927	C₂×C₄	#35512	1	1	yes	characteristic
928	C₂×C₄	#35512	1	1	yes	characteristic
929	C₂×C₄	#35527	1	1	yes	characteristic
930	C₂×C₄	#35527	1	1	yes	characteristic
931	C₂×C₄	#35680	1	1	yes	characteristic
932	C₂×C₄	#35680	1	1	yes	characteristic
933	C₂×C₄	#35680	1	1	yes	characteristic
934	C₂×C₄	#35680	1	1	yes	characteristic
935	C₂×C₄	#35680	1	1	yes	characteristic
936	C₂×C₄	#35680	1	1	yes	characteristic
937	C₂×C₄	#35680	1	1	yes	characteristic
938	C₂×C₄	#35680	1	1	yes	characteristic
939	C₂×C₄	#35680	1	1	yes	characteristic
940	C₂×C₄	#35680	1	1	yes	characteristic
941	C₂×C₄	#35680	1	1	yes	characteristic
942	C₂×C₄	#35680	1	1	yes	characteristic
943	C₂×C₄	#35680	1	1	yes	characteristic
944	C₂×C₄	#35680	1	1	yes	characteristic
945	C₂×C₄	#35680	1	1	yes	characteristic
946	C₂×C₄	#35680	1	1	yes	characteristic
947	C₂×C₄	D₄×#120	1	1	yes	characteristic
948	C₂×C₄	D₄×#120	1	1	yes	characteristic
949	C₂×C₄	D₄×#120	1	1	yes	characteristic
950	C₂×C₄	D₄×#120	1	1	yes	characteristic
951	C₂×C₄	C₂×#2846	1	1	yes	characteristic
952	C₂×C₄	#36714	1	1	yes	characteristic
953	C₂×C₄	#36714	1	1	yes	characteristic
954	C₂×C₄	#37129	1	1	yes	characteristic
955	C₂×C₄	#37129	1	1	yes	characteristic
956	C₂×C₄	#37644	1	1	yes	characteristic
957	C₂×C₄	#37644	1	1	yes	characteristic
958	C₂×C₄	#37644	1	1	yes	characteristic
959	C₂×C₄	#37644	1	1	yes	characteristic
960	C₂×C₄	#37644	1	1	yes	characteristic
961	C₂×C₄	#37646	1	1	yes	characteristic
962	C₂×C₄	#37672	1	1	yes	characteristic
963	C₂×C₄	#37672	1	1	yes	characteristic
964	C₂×C₄	#39336	1	1	yes	characteristic
965	C₂×C₄	#39338	1	1	yes	characteristic
966	C₂×C₄	#39358	1	1	yes	characteristic
967	C₂×C₄	#39358	1	1	yes	characteristic
968	C₂×C₄	#40484	1	1	yes	characteristic
969	C₂×C₄	#40484	1	1	yes	characteristic
970	C₂×C₄	#40484	1	1	yes	characteristic
971	C₂×C₄	#40484	1	1	yes	characteristic
972	C₂×C₄	#40486	1	1	yes	characteristic
973	C₂×C₄	#40486	1	1	yes	characteristic
974	C₂×C₄	#40486	1	1	yes	characteristic
975	C₂×C₄	#40486	1	1	yes	characteristic
976	C₂×C₄	#42996	1	1	yes	characteristic
977	C₂×C₄	#42996	1	1	yes	characteristic
978	C₂×C₄	#42996	1	1	yes	characteristic
979	C₂×C₄	#42996	1	1	yes	characteristic
980	C₂×C₄	#43001	1	1	yes	characteristic
981	C₂×C₄	#43001	1	1	yes	characteristic
982	C₂×C₄	#43017	1	1	yes	characteristic
983	C₂×C₄	#43017	1	1	yes	characteristic
984	C₂×C₄	#43023	1	1	yes	characteristic
985	C₂×C₄	#43023	1	1	yes	characteristic
986	C₂×C₄	#43886	1	1	yes	characteristic
987	C₂×C₄	#43886	1	1	yes	characteristic
988	C₂×C₄	#46350	1	1	yes	characteristic
989	C₂×C₄	#46350	1	1	yes	characteristic
990	C₂×C₄	#46350	1	1	yes	characteristic
991	C₂×C₄	#46350	1	1	yes	characteristic
992	C₂×C₄	#46350	1	1	yes	characteristic
993	C₂×C₄	#46350	1	1	yes	characteristic
994	C₂×C₄	#46350	1	1	yes	characteristic
995	C₂×C₄	#46350	1	1	yes	characteristic
996	C₂×C₄	#46351	1	1	yes	characteristic
997	C₂×C₄	#46351	1	1	yes	characteristic
998	C₂×C₄	#46351	1	1	yes	characteristic
999	C₂×C₄	#46351	1	1	yes	characteristic
1000	C₂×C₄	#46355	1	1	yes	characteristic
1001	C₂×C₄	#46355	1	1	yes	characteristic
1002	C₂×C₄	#46355	1	1	yes	characteristic
1003	C₂×C₄	#46355	1	1	yes	characteristic
1004	C₂×C₄	#46364	1	1	yes	characteristic
1005	C₂×C₄	#46364	1	1	yes	characteristic
1006	C₂×C₄	#46364	1	1	yes	characteristic
1007	C₂×C₄	#46364	1	1	yes	characteristic
1008	C₂×C₄	#46830	1	1	yes	characteristic
1009	C₂×C₄	#46830	1	1	yes	characteristic
1010	C₂×C₄	#46830	1	1	yes	characteristic
1011	C₂×C₄	#46830	1	1	yes	characteristic
1012	C₂×C₄	#47826	1	1	yes	characteristic
1013	C₂×C₄	#47826	1	1	yes	characteristic
1014	C₂×C₄	#47826	1	1	yes	characteristic
1015	C₂×C₄	#47826	1	1	yes	characteristic
1016	C₂×C₄	#47827	1	1	yes	characteristic
1017	C₂×C₄	#47827	1	1	yes	characteristic
1018	C₂×C₄	#47827	1	1	yes	characteristic
1019	C₂×C₄	#47827	1	1	yes	characteristic
1020	C₂×C₄	#47827	1	1	yes	characteristic
1021	C₂×C₄	#47827	1	1	yes	characteristic
1022	C₂×C₄	#47830	1	1	yes	characteristic
1023	C₂×C₄	#47830	1	1	yes	characteristic
1024	C₂×C₄	#47830	1	1	yes	characteristic
1025	C₂×C₄	#47830	1	1	yes	characteristic
1026	C₂×C₄	#47848	1	1	yes	characteristic
1027	C₂×C₄	#47848	1	1	yes	characteristic
1028	C₂×C₄	#47853	1	1	yes	characteristic
1029	C₂×C₄	#47853	1	1	yes	characteristic
1030	C₂×C₄	#47853	1	1	yes	characteristic
1031	C₂×C₄	#47853	1	1	yes	characteristic
1032	C₂×C₄	#50646	1	1	yes	characteristic
1033	C₂×C₄	#50646	1	1	yes	characteristic
1034	C₂×C₄	#50856	1	1	yes	characteristic
1035	C₂×C₄	#50856	1	1	yes	characteristic
1036	C₂²	#612424	1	1	yes	characteristic
1037	C₂²	#616960	1	1	yes	characteristic
1038	C₂²	#686200	1	1	yes	characteristic
1039	C₂²	#686200	1	1	yes	characteristic
1040	C₂²	#687584	1	1	yes	characteristic
1041	C₂²	#687584	1	1	yes	characteristic
1042	C₂²	#763332	1	1	yes	characteristic
1043	C₂²	#1082705	1	1	yes	characteristic
1044	C₂²	#1082705	1	1	yes	characteristic
1045	C₂²	#1082707	1	1	yes	characteristic
1046	C₂²	#1082707	1	1	yes	characteristic
1047	C₂²	#1082737	1	1	yes	characteristic
1048	C₂²	#1082737	1	1	yes	characteristic
1049	C₂²	#1082739	1	1	yes	characteristic
1050	C₂²	#1082739	1	1	yes	characteristic
1051	C₄	#1082705	1	1	yes	characteristic
1052	C₄	#1082705	1	1	yes	characteristic
1053	C₄	#1082707	1	1	yes	characteristic
1054	C₄	#1082707	1	1	yes	characteristic
1055	C₄	#1082737	1	1	yes	characteristic
1056	C₄	#1082737	1	1	yes	characteristic
1057	C₄	#1082739	1	1	yes	characteristic
1058	C₄	#1082739	1	1	yes	characteristic
1059	C₄	#4312014	1	1	yes	characteristic
1060	C₄	#4312014	1	1	yes	characteristic
1061	C₄	#4312851	1	1	yes	characteristic
1062	C₄	#4312851	1	1	yes	characteristic
1063	C₄	#4379716	1	1	yes	characteristic
1064	C₄	#4379716	1	1	yes	characteristic
1065	C₄	#4928938	1	1	yes	characteristic
1066	C₄	#4928938	1	1	yes	characteristic
1067	C₂	#72216320	1	2	yes	—
1068	C₂	#72250307	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#46355
commutator, Frattini, cosocle	C₂⁴×C₄	C₂⁵
socle	C₂²	#1082737
LCS	G ▷ C₂⁴×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ 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. #72256354	C₂	semidirect
2. #72256324	C₂	semidirect
3. #72256313	C₂	semidirect
4. #72256295	C₂	semidirect
5. #72256104	C₂	semidirect
6. #72256073	C₂	semidirect
7. #72256045	C₂	semidirect
8. #72256020	C₂	semidirect
9. #72255954	C₂	semidirect
10. #72252209	C₂	semidirect
11. #72252195	C₂	semidirect
12. #72252180	C₂	semidirect
13. #72252180	C₂	semidirect
14. C₂×#449600	C₂	semidirect
15. C₂×#417617	C₂	semidirect
16. #72251301	C₂	semidirect
17. #72251207	C₂	semidirect
18. #72251128	C₂	semidirect
19. #72250505	C₂	semidirect
20. C₂×#10575416	C₂	semidirect
21. #72239650	C₂	semidirect
22. #72237714	C₂	semidirect
23. #72237709	C₂	semidirect
24. #72237667	C₂	semidirect
25. #72237236	C₂	semidirect
26. #72236790	C₂	semidirect
27. #72236785	C₂	semidirect
28. #72236780	C₂	semidirect
29. C₂×#6437616	C₂	semidirect
30. C₂×#394108	C₂	semidirect
31. C₂×#393988	C₂	semidirect
32. C₂×#62811	C₂²	semidirect
34. C₂³×#525	C₂²	semidirect
36. C₂×#60511	C₂²	semidirect
37. C₂×#60511	C₂²	semidirect
38. C₂×#60511	C₂²	semidirect
41. C₂×#60444	C₂²	semidirect
42. C₂×#60444	C₂²	semidirect
44. C₂²×#3025	C₂²	semidirect
45. #10574839	C₂²	semidirect
46. C₂×#60387	C₂²	semidirect
50. C₂×#60359	C₂²	semidirect
51. C₂×#60359	C₂²	semidirect
52. C₂³×#407	C₂²	semidirect
55. #7628649	C₂²	semidirect
60. C₂×#23443	C₂²	semidirect
61. C₂×#23443	C₂²	semidirect
62. C₂×#23443	C₂²	semidirect
63. C₂×#23443	C₂²	semidirect
64. C₂×#23414	C₂²	semidirect
67. C₂²×#2010	C₂²	semidirect
68. C₂²×#2010	C₂²	semidirect
69. C₂×#23412	C₂²	semidirect
70. C₂×#23412	C₂²	semidirect
71. #6431722	C₂²	semidirect
72. C₂×#21000	C₂²	semidirect
73. C₂×#20998	C₂²	semidirect
74. C₂×#20989	C₂²	semidirect
75. C₂×#20983	C₂²	semidirect
76. C₂×#20983	C₂²	semidirect
77. C₂×#20983	C₂²	semidirect
78. C₂×#20979	C₂²	semidirect
79. #6371477	C₂²	semidirect
81. C₂×#20959	C₂²	semidirect
82. C₂×#20902	C₂²	semidirect
83. #6371361	C₂²	semidirect
84. C₂×#20623	C₂²	semidirect
85. C₂×#20620	C₂²	semidirect
86. C₂×#20605	C₂²	semidirect
87. C₂×#20605	C₂²	semidirect
88. #6370715	C₂²	semidirect
89. C₂×#20584	C₂²	semidirect
90. C₂×#20584	C₂²	semidirect
91. C₂×#20579	C₂²	semidirect
92. #607558	C₂²	semidirect
93. C₂×#11186	C₂²	semidirect
94. C₂×#11180	C₂²	semidirect
95. C₂×#11178	C₂²	semidirect
96. #357928	C₂²	semidirect
97. C₂×#11138	C₂²	semidirect
98. C₂×#11138	C₂²	semidirect
99. C₂×#11132	C₂²	semidirect
100. #357809	C₂²	semidirect
101. C₂×#11119	C₂²	semidirect
102. C₂×#11115	C₂²	semidirect
103. C₂×#11102	C₂²	semidirect
104. #357677	C₂²	semidirect
105. #357593	C₂²	semidirect
106. C₂×#11033	C₂²	semidirect
107. C₂×#11033	C₂²	semidirect
108. C₂×#11033	C₂²	semidirect
109. #357586	C₂²	semidirect
110. #357586	C₂²	semidirect
111. #357577	C₂²	semidirect
112. #357564	C₂²	semidirect
113. #357564	C₂²	semidirect
114. #357561	C₂²	semidirect
115. C₂×#11003	C₂²	semidirect
116. C₂×#11000	C₂²	semidirect
117. C₂×#11000	C₂²	semidirect
118. #357556	C₂²	semidirect
121. C₂×#10994	C₂²	semidirect
122. C₂×#10994	C₂²	semidirect
123. C₂×#10994	C₂²	semidirect
124. C₂×#10994	C₂²	semidirect
125. C₂×#10994	C₂²	semidirect
126. C₂×#10994	C₂²	semidirect
127. C₂×#10994	C₂²	semidirect
128. C₂×#10994	C₂²	semidirect
129. C₂×#10994	C₂²	semidirect
130. C₂×#10994	C₂²	semidirect
131. C₂×#10994	C₂²	semidirect
132. C₂×#10994	C₂²	semidirect
133. C₂×#10994	C₂²	semidirect
134. C₂×#10994	C₂²	semidirect
135. #357536	C₂²	semidirect
136. C₂×#10993	C₂²	semidirect
137. C₂×#10993	C₂²	semidirect
138. C₂×#10993	C₂²	semidirect
139. C₂×#10993	C₂²	semidirect
140. #357529	C₂²	semidirect
141. #357529	C₂²	semidirect
142. #357529	C₂²	semidirect
143. #357529	C₂²	semidirect
144. #357524	C₂²	semidirect
145. #357524	C₂²	semidirect
146. #357475	C₂²	semidirect
147. #357475	C₂²	semidirect
148. #357470	C₂²	semidirect
149. #353468	C₂²	semidirect
150. C₂×#10737	C₂²	semidirect
151. #353407	C₂²	semidirect
152. #353397	C₂²	semidirect
153. #353386	C₂²	semidirect
154. C₂×#10792	C₂²	semidirect
155. C₂×#10729	C₂²	semidirect
156. C₂×#10717	C₂²	semidirect
157. C₂×#10716	C₂²	semidirect
158. C₂×#10716	C₂²	semidirect
159. #123991	C₂²	semidirect
160. #123983	C₂²	semidirect
161. #123975	C₂²	semidirect
162. #123975	C₂²	semidirect
163. #123940	C₂²	semidirect
164. #123926	C₂²	semidirect
165. #123926	C₂²	semidirect
166. #123904	C₂²	semidirect
167. #123643	C₂²	semidirect
168. #123643	C₂²	semidirect
169. #123637	C₂²	semidirect
170. #123637	C₂²	semidirect
171. #123637	C₂²	semidirect
172. #123627	C₂²	semidirect
173. #123623	C₂²	semidirect
174. #123618	C₂²	semidirect
175. #123616	C₂²	semidirect
176. #123616	C₂²	semidirect
177. #123610	C₂²	semidirect
178. #123568	C₂²	semidirect
179. #123535	C₂²	semidirect
180. #123535	C₂²	semidirect
181. #123535	C₂²	semidirect
182. #123535	C₂²	semidirect
183. #123531	C₂²	semidirect
184. #123531	C₂²	semidirect
185. #123531	C₂²	semidirect
186. #123531	C₂²	semidirect
203. C₂²×#525	D₄	semidirect
221. #60511	D₄	semidirect
222. #60444	D₄	semidirect
223. C₂×#3054	D₄	semidirect
224. C₂×#3050	D₄	semidirect
225. #60359	D₄	semidirect
226. C₂×#3005	D₄	semidirect
227. C₂×#3005	D₄	semidirect
228. C₂×#3005	D₄	semidirect
229. C₂×#3005	D₄	semidirect
230. C₂×#3004	D₄	semidirect
231. C₂×#3004	D₄	semidirect
232. C₂×#3003	D₄	semidirect
233. C₂×#3003	D₄	semidirect
294. #36614	D₄	semidirect
366. C₂³×#41	C₂×D₄	semidirect
367. C₂³×#41	C₂×D₄	semidirect
375. C₂⁴×Q₈	C₂×D₄	semidirect
377. C₂⁴×D₄	C₂×D₄	semidirect
398. C₂³×M₁₆	C₂×D₄	semidirect
399. C₂³×M₁₆	C₂×D₄	semidirect
408. C₂⁴×C₈	C₂×D₄	semidirect
425. C₂×#525	C₂×D₄	semidirect
426. C₂×#525	C₂×D₄	semidirect
427. C₂×#525	C₂×D₄	semidirect
435. C₂²×#117	C₂×D₄	semidirect
450. #2911	C₂×D₄	semidirect
451. #2911	C₂×D₄	semidirect
452. #2911	C₂×D₄	semidirect
453. C₂×#427	C₂×D₄	semidirect
459. #2896	C₂×D₄	semidirect
462. C₂×#419	C₂×D₄	semidirect
463. C₂×#419	C₂×D₄	semidirect
466. C₂×#418	C₂×D₄	semidirect
467. C₂×#418	C₂×D₄	semidirect
469. C₂×#416	C₂×D₄	semidirect
473. C₂×#407	C₂×D₄	semidirect
474. C₂×#407	C₂×D₄	semidirect
475. C₂×#407	C₂×D₄	semidirect
489. C₂²×#41	#120	semidirect
490. C₂²×#41	#120	semidirect
505. C₂³×Q₈	#120	semidirect
512. C₂³×D₄	#120	semidirect
552. C₂×#137	#120	semidirect
553. C₂×AGL(1,ℤ/8)	#120	semidirect
554. C₂²×Q₁₆	#120	semidirect
555. C₂²×SD₁₆	#120	semidirect
556. C₂²×SD₁₆	#120	semidirect
557. C₂²×D₈	#120	semidirect
574. #525	#120	semidirect
575. #525	#120	semidirect
600. #419	#120	semidirect
601. #418	#120	semidirect
602. #416	#120	semidirect

Maximal subgroups

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

subgroup	index
#72256354	2
#72256324	2
#72256313	2
#72256295	2
#72256104	2
#72256073	2
#72256045	2
#72256020	2
#72255954	2
#72252209	2
#72252195	2
#72252180	2
C₂×#449600	2
C₂×#417617	2
#72251301	2
#72251207	2
#72251128	2
#72250505	2
C₂×#10575416	2
#72239650	2
#72237714	2
#72237709	2
#72237667	2
#72237236	2
#72236790	2
#72236785	2
#72236780	2
C₂×#6437616	2
C₂×#394108	2
C₂×#393988	2