Subgroups — #72317438

Order 2048.

At least 20697 conjugacy classes of subgroups; only the 2144 normal subgroups are shown.

The subgroup lattice has 1304 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72317404	C₂	1	1	yes	maximal, characteristic, complemented
2	#72317401	C₂	1	1	yes	maximal, characteristic, complemented
3	#72317396	C₂	1	1	yes	maximal, characteristic, complemented
4	#72317392	C₂	1	1	yes	maximal, characteristic, complemented
5	#72317387	C₂	1	1	yes	maximal, characteristic, complemented
6	#72317383	C₂	1	1	yes	maximal, characteristic, complemented
7	#72317373	C₂	1	1	yes	maximal, characteristic, complemented
8	#72317367	C₂	1	1	yes	maximal, characteristic, complemented
9	#72317358	C₂	1	1	yes	maximal, characteristic, complemented
10	#72317347	C₂	1	1	yes	maximal, characteristic, complemented
11	#72317316	C₂	1	1	yes	maximal, characteristic, complemented
12	#72317312	C₂	1	1	yes	maximal, characteristic, complemented
13	#72317310	C₂	1	1	yes	maximal, characteristic, complemented
14	#72316901	C₂	1	1	yes	maximal, characteristic, complemented
15	#72316897	C₂	1	1	yes	maximal, characteristic, complemented
16	#72316894	C₂	1	1	yes	maximal, characteristic, complemented
17	#72316876	C₂	1	1	yes	maximal, characteristic, complemented
18	#72316823	C₂	1	1	yes	maximal, characteristic, complemented
19	#72316808	C₂	1	1	yes	maximal, characteristic, complemented
20	#72312550	C₂	1	1	yes	maximal, characteristic, complemented
21	#72310642	C₂	1	1	yes	maximal, characteristic, complemented
22	#72305346	C₂	1	1	yes	maximal, characteristic, complemented
23	#72280335	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10994	C₂	1	1	yes	maximal, characteristic, complemented
25	#72279346	C₂	1	1	yes	maximal, characteristic, complemented
26	#72268516	C₂	1	1	yes	maximal, characteristic, complemented
27	#72255963	C₂	1	1	yes	maximal, characteristic, complemented
28	#72239651	C₂	1	1	yes	maximal, characteristic, complemented
29	#72236785	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
33	C₂×#62811	C₂²	1	1	yes	characteristic
34	C₂³×#525	C₂²	1	1	yes	characteristic
35	C₂³×#525	C₂²	1	1	yes	characteristic
36	C₂×#60444	C₂²	1	1	yes	characteristic
37	C₂×#60444	C₂²	1	1	yes	characteristic, complemented
38	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
40	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
41	C₂³×#407	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
43	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
44	C₂×#36614	C₂²	1	1	yes	characteristic
45	C₂×#36614	C₂²	1	1	yes	characteristic, complemented
46	#7629144	C₂²	1	1	yes	characteristic
47	#7629122	C₂²	1	1	yes	characteristic
48	#7629122	C₂²	1	1	yes	characteristic
49	#7629120	C₂²	1	1	yes	characteristic
50	#7628650	C₂²	1	1	yes	characteristic
51	#7628650	C₂²	1	1	yes	characteristic
52	#7628650	C₂²	1	1	yes	characteristic, complemented
53	#7628649	C₂²	1	1	yes	characteristic
54	#7628649	C₂²	1	1	yes	characteristic
55	#7625530	C₂²	1	1	yes	characteristic
56	#7625530	C₂²	1	1	yes	characteristic
57	C₂²×#2280	C₂²	1	1	yes	characteristic, complemented
58	#6431889	C₂²	1	1	yes	characteristic, complemented
59	#6431881	C₂²	1	1	yes	characteristic, complemented
60	#6431856	C₂²	1	1	yes	characteristic, complemented
61	#6431856	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, complemented
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	#6431733	C₂²	1	1	yes	characteristic, complemented
72	#6431722	C₂²	1	1	yes	characteristic, complemented
73	#6431698	C₂²	1	1	yes	characteristic, complemented
74	#6431698	C₂²	1	1	yes	characteristic, complemented
75	C₂×#21000	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20989	C₂²	1	1	yes	characteristic, complemented
77	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
78	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20979	C₂²	1	1	yes	characteristic
80	C₂×#20979	C₂²	1	1	yes	characteristic
81	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
82	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
84	#6371477	C₂²	1	1	yes	characteristic
85	#6371477	C₂²	1	1	yes	characteristic, complemented
86	#6371439	C₂²	1	1	yes	characteristic, complemented
87	#6371380	C₂²	1	1	yes	characteristic, complemented
88	#6371361	C₂²	1	1	yes	characteristic, complemented
89	#6371298	C₂²	1	1	yes	characteristic, complemented
90	#6371269	C₂²	1	1	yes	characteristic, complemented
91	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
92	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
93	#6370746	C₂²	1	1	yes	characteristic, complemented
94	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
95	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
96	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
97	#6370715	C₂²	1	1	yes	characteristic, complemented
98	C₂×#20579	C₂²	1	1	yes	characteristic, complemented
99	C₂²×#1733	C₂²	1	1	yes	characteristic, complemented
100	C₂³×H(3,ℤ/4)	C₂²	1	1	yes	characteristic, complemented
101	#358477	C₂²	1	1	yes	characteristic, complemented
102	#358074	C₂²	1	1	yes	characteristic, complemented
103	#357967	C₂²	1	1	yes	characteristic, complemented
104	#357818	C₂²	1	1	yes	characteristic, complemented
105	#357818	C₂²	1	1	yes	characteristic, complemented
106	#357752	C₂²	1	1	yes	characteristic, complemented
107	#357752	C₂²	1	1	yes	characteristic, complemented
108	#357709	C₂²	1	1	yes	characteristic, complemented
109	#357681	C₂²	1	1	yes	characteristic, complemented
110	#357641	C₂²	1	1	yes	characteristic, complemented
111	#357641	C₂²	1	1	yes	characteristic, complemented
112	#357586	C₂²	1	1	yes	characteristic, complemented
113	#357586	C₂²	1	1	yes	characteristic, complemented
114	#357577	C₂²	1	1	yes	characteristic, complemented
115	#357561	C₂²	1	1	yes	characteristic, complemented
116	#357561	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
118	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
120	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
121	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
122	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
123	#357556	C₂²	1	1	yes	characteristic, complemented
124	#357556	C₂²	1	1	yes	characteristic, complemented
125	#357548	C₂²	1	1	yes	characteristic, complemented
126	#357548	C₂²	1	1	yes	characteristic, complemented
127	C₂×#10994	C₂²	1	1	yes	characteristic
128	C₂×#10994	C₂²	1	1	yes	characteristic
129	C₂×#10994	C₂²	1	1	yes	characteristic
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	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
136	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
137	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
138	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
139	#357546	C₂²	1	1	yes	characteristic, complemented
140	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
141	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
142	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
143	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
144	#357529	C₂²	1	1	yes	characteristic, complemented
145	#357529	C₂²	1	1	yes	characteristic, complemented
146	#357529	C₂²	1	1	yes	characteristic, complemented
147	#357529	C₂²	1	1	yes	characteristic, complemented
148	#357486	C₂²	1	1	yes	characteristic, complemented
149	#357486	C₂²	1	1	yes	characteristic, complemented
150	#357440	C₂²	1	1	yes	characteristic, complemented
151	#357440	C₂²	1	1	yes	characteristic, complemented
152	#357440	C₂²	1	1	yes	characteristic, complemented
153	#357440	C₂²	1	1	yes	characteristic, complemented
154	#354116	C₂²	1	1	yes	characteristic, complemented
155	#353916	C₂²	1	1	yes	characteristic, complemented
156	#353454	C₂²	1	1	yes	characteristic, complemented
157	#353454	C₂²	1	1	yes	characteristic, complemented
158	C₂×#10737	C₂²	1	1	yes	characteristic, complemented
159	#353400	C₂²	1	1	yes	characteristic, complemented
160	#353400	C₂²	1	1	yes	characteristic, complemented
161	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
162	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
163	#353352	C₂²	1	1	yes	characteristic, complemented
164	C₂×#10729	C₂²	1	1	yes	characteristic, complemented
165	#353313	C₂²	1	1	yes	characteristic, complemented
166	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
167	#123962	C₂²	1	1	yes	characteristic, complemented
168	#123962	C₂²	1	1	yes	characteristic, complemented
169	#123918	C₂²	1	1	yes	characteristic, complemented
170	#123918	C₂²	1	1	yes	characteristic, complemented
171	#123603	C₂²	1	1	yes	characteristic, complemented
172	#123603	C₂²	1	1	yes	characteristic, complemented
173	#123603	C₂²	1	1	yes	characteristic, complemented
174	#123603	C₂²	1	1	yes	characteristic, complemented
175	#123568	C₂²	1	1	yes	characteristic, complemented
176	#123568	C₂²	1	1	yes	characteristic, complemented
177	#123554	C₂²	1	1	yes	characteristic, complemented
178	#123554	C₂²	1	1	yes	characteristic, complemented
179	#123536	C₂²	1	1	yes	characteristic, complemented
180	#123536	C₂²	1	1	yes	characteristic, complemented
181	#123535	C₂²	1	1	yes	characteristic, complemented
182	#123535	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123535	C₂²	1	1	yes	characteristic, complemented
185	#123457	C₂²	1	1	yes	characteristic, complemented
186	#123457	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	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
196	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
197	C₂×#3489	D₄	1	4	yes	complemented
198	C₂×#3488	D₄	1	4	yes	complemented
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	C₂×#3449	C₂³	1	1	yes	characteristic
204	C₂×#3449	C₂³	1	1	yes	characteristic
205	C₂²×#525	D₄	1	4	yes	complemented
206	C₂²×#525	D₄	1	4	yes	complemented
207	C₂²×#525	D₄	1	2	yes	complemented
208	C₂²×#525	D₄	1	2	yes	complemented
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	C₂²×#525	C₂³	1	1	yes	characteristic
219	C₂²×#525	C₂³	1	1	yes	characteristic
220	C₂²×#525	C₂³	1	1	yes	characteristic
221	C₂²×#525	C₂³	1	1	yes	characteristic
222	C₂²×#525	C₂³	1	1	yes	characteristic
223	C₂³×C₂²⋊Q₈	D₄	1	2	yes	complemented
224	C₂³×#121	D₄	1	2	yes	complemented
225	C₂×#3428	C₂³	1	1	yes	characteristic
226	C₂×#3428	C₂³	1	1	yes	characteristic
227	C₂³×#117	C₂³	1	1	yes	characteristic
228	C₂³×#117	C₂³	1	1	yes	characteristic
229	C₂³×#117	C₂³	1	1	yes	characteristic
230	C₂³×#117	C₂³	1	1	yes	characteristic
231	C₂×#3056	D₄	1	4	yes	complemented
232	C₂×#3055	D₄	1	4	yes	complemented
233	C₂×#2911	C₂³	1	1	yes	characteristic
234	C₂×#2911	C₂³	1	1	yes	characteristic
235	C₂²×#421	C₂³	1	1	yes	characteristic
236	C₂²×#421	C₂³	1	1	yes	characteristic
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	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	C₂×#2896	C₂³	1	1	yes	characteristic
267	C₂²×#413	C₂³	1	1	yes	characteristic
268	C₂²×#413	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	C₂×#2879	C₂³	1	1	yes	characteristic
274	C₂×#2879	C₂³	1	1	yes	characteristic
275	C₂²×#407	C₂³	1	1	yes	characteristic
276	C₂²×#407	C₂³	1	1	yes	characteristic
277	C₂²×#407	C₂³	1	1	yes	characteristic
278	C₂²×#407	C₂³	1	1	yes	characteristic
279	C₂²×#407	C₂³	1	1	yes	characteristic
280	C₂²×#407	C₂³	1	1	yes	characteristic
281	C₂²×#407	C₂³	1	1	yes	characteristic
282	C₂²×#407	C₂³	1	1	yes	characteristic
283	C₂²×#407	C₂³	1	1	yes	characteristic
284	C₂²×#407	C₂³	1	1	yes	characteristic
285	C₂×#2849	D₄	1	2	yes	—
286	C₂×#2849	D₄	1	2	yes	—
287	C₂×#2849	D₄	1	2	yes	—
288	C₂×#2846	D₄	1	2	yes	—
289	#35242	D₄	1	2	yes	complemented
290	#35222	D₄	1	2	yes	complemented
291	#35149	D₄	1	2	yes	complemented
292	#35149	D₄	1	2	yes	complemented
293	#34737	D₄	1	8	yes	complemented
294	#34065	D₄	1	4	yes	complemented
295	#34052	C₂³	1	1	yes	characteristic
296	#34052	C₂³	1	1	yes	characteristic
297	#34052	C₂³	1	1	yes	characteristic
298	#34044	C₂³	1	1	yes	characteristic
299	#34044	C₂³	1	1	yes	characteristic
300	#34044	C₂³	1	1	yes	characteristic
301	#34044	C₂³	1	1	yes	characteristic
302	#34044	C₂³	1	1	yes	characteristic
303	#34044	C₂³	1	1	yes	characteristic
304	#34044	C₂³	1	1	yes	characteristic
305	C₄×#525	D₄	1	4	yes	complemented
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	C₂×#2280	C₂³	1	1	yes	characteristic
314	C₂×#2280	C₂³	1	1	yes	characteristic
315	C₂×#2280	C₂³	1	1	yes	characteristic
316	#33996	C₂³	1	1	yes	characteristic
317	C₂×#1897	D₄	1	4	yes	complemented
318	C₂×#1896	D₄	1	4	yes	complemented
319	#20970	D₄	1	4	yes	complemented
320	#20967	D₄	1	4	yes	complemented
321	C₂²×#344	C₂³	1	1	yes	characteristic
322	C₂²×#344	C₂³	1	1	yes	characteristic
323	C₂²×#344	C₂³	1	1	yes	characteristic
324	C₂²×#344	C₂³	1	1	yes	characteristic
325	C₂²×#344	C₂³	1	1	yes	characteristic
326	C₂²×#344	C₂³	1	1	yes	characteristic
327	C₂²×#344	C₂³	1	1	yes	characteristic
328	C₂²×#344	C₂³	1	1	yes	characteristic
329	C₂×#1742	C₂³	1	1	yes	characteristic
330	C₂×#1742	C₂³	1	1	yes	characteristic
331	C₂×#1740	C₂³	1	1	yes	characteristic
332	C₂×#1740	C₂³	1	1	yes	characteristic
333	C₂×#1740	C₂³	1	1	yes	characteristic
334	C₂×#1740	C₂³	1	1	yes	characteristic
335	C₂×#1740	C₂³	1	1	yes	characteristic
336	C₂×#1740	C₂³	1	1	yes	characteristic
337	C₂×#1740	C₂³	1	1	yes	characteristic
338	C₂×#1740	C₂³	1	1	yes	characteristic
339	#20347	C₂³	1	1	yes	characteristic
340	#20347	C₂³	1	1	yes	characteristic
341	#20347	C₂³	1	1	yes	characteristic
342	#20347	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	C₂×#1733	C₂³	1	1	yes	characteristic
348	C₂×#1733	C₂³	1	1	yes	characteristic
349	C₂×#1733	C₂³	1	1	yes	characteristic
350	C₂×#1733	C₂³	1	1	yes	characteristic
351	C₂×#1733	C₂³	1	1	yes	characteristic
352	C₂×#1733	C₂³	1	1	yes	characteristic
353	C₂×#1733	C₂³	1	1	yes	characteristic
354	C₂×#1733	C₂³	1	1	yes	characteristic
355	C₂×#1733	C₂³	1	1	yes	characteristic
356	C₂×#1733	C₂³	1	1	yes	characteristic
357	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
358	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
359	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
360	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
361	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
362	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
363	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
364	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
365	#20335	C₂³	1	1	yes	characteristic
366	#20335	C₂³	1	1	yes	characteristic
367	#10994	D₄	1	8	yes	complemented
368	C₂⁷	C₂×D₄	1	1	yes	characteristic
369	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
370	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	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	C₂×D₄	1	1	yes	characteristic
376	C₂³×#41	C₂×D₄	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	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
384	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
385	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
386	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
387	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
388	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
389	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
390	C₂⁵×C₄	C₂×D₄	1	2	yes	—
391	C₂⁵×C₄	C₂×D₄	1	2	yes	—
392	C₂⁵×C₄	C₂×D₄	1	2	yes	—
393	C₂⁵×C₄	C₂×D₄	1	2	yes	—
394	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
395	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
396	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
397	C₂²×#137	C₂×D₄	1	2	yes	complemented
398	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
399	C₂³×M₁₆	C₂×D₄	1	4	yes	complemented
400	C₂³×M₁₆	C₂×D₄	1	2	yes	complemented
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	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
409	C₂⁴×C₈	C₂×D₄	1	2	yes	complemented
410	C₂×#537	C₂×D₄	1	4	yes	—
411	C₂×#536	C₂×D₄	1	2	yes	—
412	C₂×#536	C₂×D₄	1	2	yes	—
413	C₂×#536	C₂×D₄	1	2	yes	—
414	C₂×#535	C₂×D₄	1	2	yes	—
415	C₂×#535	C₂×D₄	1	2	yes	—
416	C₂×#535	C₂×D₄	1	2	yes	—
417	C₂×#525	C₂×D₄	1	2	yes	—
418	C₂×#525	C₂×D₄	1	4	yes	—
419	C₂×#525	C₂×D₄	1	2	yes	—
420	C₂×#525	C₂×D₄	1	2	yes	—
421	C₂×#525	C₂×D₄	1	2	yes	—
422	C₂×#525	C₂×D₄	1	4	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	—
426	C₂×#525	C₂×D₄	1	2	yes	—
427	C₂×#525	C₂×D₄	1	4	yes	—
428	C₂×#525	C₂×D₄	1	4	yes	—
429	C₂×#525	C₂×D₄	1	4	yes	—
430	C₂×#525	C₂×D₄	1	2	yes	—
431	C₂×#525	C₂×D₄	1	2	yes	—
432	C₂×#525	C₂×D₄	1	2	yes	—
433	C₂×#525	C₂×D₄	1	2	yes	—
434	C₂×#525	C₂×D₄	1	2	yes	—
435	C₂×#525	C₂×D₄	1	2	yes	—
436	C₂×#525	#41	1	4	yes	—
437	C₂×#525	#41	1	4	yes	—
438	C₂²×#123	C₂×D₄	1	2	yes	—
439	C₂²×#123	C₂×D₄	1	2	yes	—
440	C₂²×#123	C₂×D₄	1	2	yes	—
441	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
442	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
443	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
444	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
445	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
446	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
447	C₂²×#121	C₂×D₄	1	2	yes	—
448	C₂²×#121	C₂×D₄	1	2	yes	—
449	C₂²×#121	C₂×D₄	1	2	yes	—
450	C₂²×#121	C₂×D₄	1	2	yes	—
451	C₂²×#121	C₂×D₄	1	2	yes	—
452	C₂²×#121	C₂×D₄	1	2	yes	complemented
453	C₂²×#120	C₂×D₄	1	2	yes	—
454	C₂²×#120	C₂×D₄	1	2	yes	—
455	C₂²×#120	C₂×D₄	1	2	yes	—
456	C₂×#520	C₂×D₄	1	4	yes	—
457	C₂×C₄×#41	C₂×D₄	1	4	yes	—
458	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
459	C₂²×#117	C₂×D₄	1	2	yes	—
460	C₂²×#117	C₂×D₄	1	4	yes	—
461	C₂²×#117	C₂×D₄	1	4	yes	—
462	C₂²×#117	C₂×D₄	1	2	yes	—
463	C₂²×#117	C₂×D₄	1	2	yes	complemented
464	C₂²×#117	C₂⁴	1	1	yes	characteristic
465	C₂²×#117	C₂⁴	1	1	yes	characteristic
466	C₂²×#117	C₂⁴	1	1	yes	characteristic
467	C₂²×#117	C₂⁴	1	1	yes	characteristic
468	C₂²×#117	C₂⁴	1	1	yes	characteristic
469	C₂²×#117	C₂⁴	1	1	yes	characteristic
470	C₂²×#117	C₂⁴	1	1	yes	characteristic
471	C₂²×#117	C₂⁴	1	1	yes	characteristic
472	C₂²×#117	C₂⁴	1	1	yes	characteristic
473	C₂²×#117	C₂⁴	1	1	yes	characteristic
474	C₂²×#117	C₂⁴	1	1	yes	characteristic
475	C₂²×#117	C₂⁴	1	1	yes	characteristic
476	C₂²×#117	C₂⁴	1	1	yes	characteristic
477	C₂²×#117	C₂⁴	1	1	yes	characteristic
478	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	—
479	C₂³×C₄²	C₂×D₄	1	2	yes	—
480	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
481	C₂×#428	C₂×D₄	1	4	yes	complemented
482	C₂×#421	C₂×D₄	1	4	yes	complemented
483	C₂²×#104	C₂×D₄	1	4	yes	complemented
484	C₂²×#104	C₂×D₄	1	4	yes	complemented
485	#2896	C₂×D₄	1	4	yes	complemented
486	C₂×#417	C₂×D₄	1	4	yes	complemented
487	C₂×#419	C₂×D₄	1	2	yes	complemented
488	C₂×#418	C₂×D₄	1	2	yes	complemented
489	C₂×#416	C₂×D₄	1	4	yes	complemented
490	C₂×#416	C₂×D₄	1	4	yes	complemented
491	C₂×#407	C₂×D₄	1	2	yes	complemented
492	C₂×#407	C₂×D₄	1	2	yes	complemented
493	C₂×#407	C₂×D₄	1	4	yes	complemented
494	#2310	C₂×D₄	1	2	yes	—
495	#2310	C₂×D₄	1	2	yes	—
496	#2309	C₂×D₄	1	2	yes	—
497	#2309	C₂×D₄	1	2	yes	—
498	#2297	C₂×D₄	1	4	yes	—
499	#2297	C₂×D₄	1	4	yes	—
500	#2296	C₂×D₄	1	4	yes	—
501	#2296	C₂×D₄	1	4	yes	—
502	#2280	C₂×D₄	1	4	yes	—
503	#2280	C₂×D₄	1	2	yes	—
504	#2280	C₂×D₄	1	2	yes	—
505	#2280	C₂×D₄	1	2	yes	—
506	#2280	C₂×D₄	1	2	yes	—
507	#2280	C₂×D₄	1	2	yes	complemented
508	#2280	C₂×D₄	1	2	yes	complemented
509	#2280	C₂×D₄	1	4	yes	complemented
510	C₂×#381	C₂×D₄	1	2	yes	—
511	C₂×#381	C₂×D₄	1	2	yes	—
512	C₂×#381	C₂×D₄	1	2	yes	—
513	C₂×#379	C₂×D₄	1	2	yes	—
514	C₂×#379	C₂×D₄	1	2	yes	—
515	C₂×#379	C₂×D₄	1	2	yes	—
516	C₄×#117	C₂×D₄	1	4	yes	—
517	#1735	C₂×D₄	1	4	yes	complemented
518	#1735	C₂×D₄	1	4	yes	complemented
519	#1733	C₂×D₄	1	4	yes	complemented
520	C₂×#339	C₂×D₄	1	4	yes	complemented
521	C₂×#339	C₂×D₄	1	4	yes	complemented
522	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	complemented
523	C₂⁶	#120	1	2	yes	—
524	C₂⁶	#120	1	2	yes	—
525	C₂⁶	C₂²×D₄	1	1	yes	characteristic
526	C₂⁶	C₂²×D₄	1	1	yes	characteristic
527	C₂⁶	C₂²×D₄	1	1	yes	characteristic
528	C₂²×#41	#120	1	4	yes	—
529	C₂²×#41	#120	1	4	yes	—
530	C₂²×#41	C₂²×D₄	1	2	yes	—
531	C₂²×#41	C₂²×D₄	1	2	yes	—
532	C₂²×#41	C₂²×D₄	1	2	yes	—
533	C₂²×#41	C₂²×D₄	1	2	yes	—
534	C₂²×#41	C₂²×D₄	1	2	yes	—
535	C₂²×#41	C₂²×D₄	1	2	yes	—
536	C₂²×#41	C₂²×D₄	1	2	yes	—
537	C₂²×#41	C₂²×D₄	1	2	yes	—
538	C₂²×#41	C₂²×D₄	1	2	yes	—
539	C₂²×#41	C₂²×D₄	1	2	yes	—
540	C₂²×#41	C₂²×D₄	1	2	yes	—
541	C₂²×#41	C₂²×D₄	1	2	yes	—
542	C₂²×#41	C₂×#41	1	2	yes	—
543	C₂²×#41	C₂×#41	1	2	yes	—
544	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
545	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
546	C₂³×Q₈	#120	1	4	yes	—
547	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
548	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
549	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
550	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
551	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
552	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
553	C₂³×D₄	#120	1	4	yes	—
554	C₂³×D₄	#120	1	4	yes	—
555	C₂³×D₄	C₂²×D₄	1	2	yes	—
556	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
557	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
558	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
559	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
560	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
561	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
562	C₂⁴×C₄	#120	1	2	yes	—
563	C₂⁴×C₄	#120	1	2	yes	—
564	C₂⁴×C₄	#120	1	2	yes	—
565	C₂⁴×C₄	#120	1	2	yes	—
566	C₂⁴×C₄	#120	1	2	yes	—
567	C₂⁴×C₄	#120	1	2	yes	—
568	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
569	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
570	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
571	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
572	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
573	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
574	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
575	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
576	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
577	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
578	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
579	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
580	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
581	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
582	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
583	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
584	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
585	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
586	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
587	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
588	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
589	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
590	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
591	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
592	C₂⁴×C₄	C₂×#41	1	2	yes	—
593	C₂⁴×C₄	C₂×#41	1	2	yes	—
594	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
595	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
596	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
597	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
598	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
599	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
600	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
601	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
602	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
603	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
604	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
605	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
606	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
607	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
608	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
609	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
610	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
611	C₂³×C₈	C₂²×D₄	1	2	yes	—
612	C₂³×C₈	C₂²×D₄	1	2	yes	—
613	#525	#120	1	8	yes	—
614	#525	#120	1	8	yes	—
615	#525	#121	1	8	yes	—
616	#525	#121	1	8	yes	—
617	#525	#121	1	8	yes	—
618	#525	#121	1	8	yes	—
619	#525	#121	1	8	yes	complemented
620	#525	#121	1	8	yes	complemented
621	#525	#127	1	4	yes	—
622	#525	#127	1	4	yes	—
623	#525	#127	1	4	yes	—
624	#525	#127	1	4	yes	—
625	C₂×C₂²⋊Q₈	#120	1	4	yes	—
626	C₂×C₂²⋊Q₈	#120	1	4	yes	—
627	C₂×C₂²⋊Q₈	#120	1	4	yes	—
628	C₂×C₂²⋊Q₈	#120	1	4	yes	—
629	C₂×C₂²⋊Q₈	#120	1	4	yes	—
630	C₂×C₂²⋊Q₈	#120	1	4	yes	—
631	C₂×C₂²⋊Q₈	#121	1	4	yes	—
632	C₂×C₂²⋊Q₈	#121	1	4	yes	—
633	C₂×#121	#120	1	4	yes	—
634	C₂×#121	#120	1	4	yes	—
635	C₂×#121	#120	1	4	yes	—
636	C₂×#121	#120	1	4	yes	—
637	C₂×#121	#120	1	4	yes	—
638	C₂×#121	#120	1	4	yes	—
639	C₂×#121	#121	1	4	yes	—
640	C₂×#121	#121	1	4	yes	—
641	C₂×#117	#120	1	8	yes	—
642	C₂×#117	C₂²×D₄	1	2	yes	—
643	C₂×#117	C₂²×D₄	1	2	yes	—
644	C₂×#117	C₂²×D₄	1	2	yes	—
645	C₂×#117	C₂²×D₄	1	2	yes	—
646	C₂×#117	C₂²×D₄	1	2	yes	—
647	C₂×#117	C₂²×D₄	1	2	yes	—
648	C₂×#117	C₂²×D₄	1	2	yes	—
649	C₂×#117	C₂²×D₄	1	2	yes	—
650	C₂×#117	C₂²×D₄	1	2	yes	—
651	C₂×#117	C₂²×D₄	1	2	yes	—
652	C₂×#117	C₂²×D₄	1	2	yes	—
653	C₂×#117	C₂²×D₄	1	2	yes	—
654	C₂×#117	C₂²×D₄	1	2	yes	—
655	C₂×#117	C₂²×D₄	1	2	yes	—
656	C₂×#117	C₂²×D₄	1	2	yes	—
657	C₂×#117	C₂²×D₄	1	2	yes	—
658	C₂×#117	C₂²×D₄	1	2	yes	—
659	C₂×#117	C₂²×D₄	1	2	yes	—
660	C₂×#117	C₂²×D₄	1	2	yes	—
661	C₂×#117	C₂²×D₄	1	2	yes	—
662	C₂×#117	C₂×#41	1	2	yes	—
663	C₂×#117	C₂×#41	1	2	yes	—
664	C₂×#117	H(5,𝔽₂)	1	2	yes	—
665	C₂×#117	H(5,𝔽₂)	1	2	yes	—
666	C₂×#117	H(5,𝔽₂)	1	2	yes	—
667	C₂×#117	H(5,𝔽₂)	1	2	yes	—
668	C₂²×C₄⋊C₄	#120	1	4	yes	—
669	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
670	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
671	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
672	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
673	C₂²×C₂²⋊C₄	#120	1	4	yes	—
674	C₂²×C₂²⋊C₄	#120	1	4	yes	—
675	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
676	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
677	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
678	C₂²×C₄²	#120	1	8	yes	—
679	C₂²×C₄²	C₂²×D₄	1	2	yes	—
680	C₂²×C₄²	C₂²×D₄	1	2	yes	—
681	C₂²×C₄²	C₂²×D₄	1	2	yes	—
682	C₂²×C₄²	C₂²×D₄	1	2	yes	—
683	C₂²×C₄²	C₂²×D₄	1	2	yes	—
684	#381	#120	1	4	yes	—
685	#381	#120	1	4	yes	—
686	#379	#120	1	4	yes	—
687	#379	#120	1	4	yes	—
688	C₂⁵	C₂×#120	1	2	yes	—
689	C₂⁵	C₂×#120	1	2	yes	—
690	C₂⁵	C₂×#120	1	1	yes	characteristic
691	C₂⁵	C₂×#120	1	1	yes	characteristic
692	C₂⁵	C₂×#120	1	1	yes	characteristic
693	C₂⁵	C₂×#120	1	2	yes	—
694	C₂⁵	C₂×#120	1	2	yes	—
695	C₂⁵	C₂×#120	1	1	yes	characteristic
696	C₂⁵	D₄²	1	2	yes	—
697	C₂⁵	D₄²	1	1	yes	characteristic
698	C₂⁵	D₄²	1	1	yes	characteristic
699	C₂⁵	D₄²	1	2	yes	—
700	C₂⁵	D₄²	1	1	yes	characteristic
701	C₂⁵	D₄²	1	1	yes	characteristic
702	C₂⁵	#546	1	2	yes	—
703	C₂⁵	#546	1	2	yes	—
704	C₂⁵	C₂³×D₄	1	1	yes	characteristic
705	C₂×#41	C₂×#120	1	4	yes	—
706	C₂×#41	C₂×#121	1	4	yes	—
707	C₂×#41	C₂×#121	1	4	yes	—
708	C₂×#41	C₂×#121	1	4	yes	—
709	C₂×#41	C₂×#127	1	4	yes	—
710	C₂×#41	#534	1	4	yes	—
711	C₂×#41	D₄²	1	4	yes	—
712	C₂×#41	#546	1	4	yes	—
713	C₂²×Q₈	C₂×#120	1	2	yes	—
714	C₂²×Q₈	C₂×#120	1	2	yes	—
715	C₂²×Q₈	C₂×#120	1	2	yes	—
716	C₂²×Q₈	C₂×#120	1	2	yes	—
717	C₂²×Q₈	C₂×#120	1	2	yes	—
718	C₂²×Q₈	C₂×#121	1	2	yes	—
719	C₂²×Q₈	D₄²	1	2	yes	—
720	C₂²×Q₈	#546	1	2	yes	—
721	C₂²×D₄	C₂×#120	1	2	yes	—
722	C₂²×D₄	C₂×#120	1	2	yes	—
723	C₂²×D₄	C₂×#120	1	2	yes	—
724	C₂²×D₄	C₂×#120	1	2	yes	—
725	C₂²×D₄	C₂×#120	1	2	yes	—
726	C₂²×D₄	C₂×#121	1	2	yes	—
727	C₂²×D₄	D₄²	1	2	yes	—
728	C₂²×D₄	#546	1	2	yes	—
729	C₂³×C₄	C₂×#120	1	2	yes	—
730	C₂³×C₄	C₂×#120	1	2	yes	—
731	C₂³×C₄	C₂×#120	1	1	yes	characteristic
732	C₂³×C₄	C₂×#120	1	1	yes	characteristic
733	C₂³×C₄	C₂×#120	1	2	yes	—
734	C₂³×C₄	C₂×#120	1	2	yes	—
735	C₂³×C₄	C₂×#120	1	1	yes	characteristic
736	C₂³×C₄	C₂×#120	1	1	yes	characteristic
737	C₂³×C₄	C₂×#120	1	2	yes	—
738	C₂³×C₄	C₂×#120	1	2	yes	—
739	C₂³×C₄	C₂×#120	1	2	yes	—
740	C₂³×C₄	C₂×#120	1	2	yes	—
741	C₂³×C₄	C₂×#120	1	2	yes	—
742	C₂³×C₄	C₂×#120	1	2	yes	—
743	C₂³×C₄	C₂×#120	1	2	yes	—
744	C₂³×C₄	C₂×#120	1	2	yes	—
745	C₂³×C₄	C₂×#120	1	2	yes	—
746	C₂³×C₄	C₂×#120	1	2	yes	—
747	C₂³×C₄	C₂×#120	1	2	yes	—
748	C₂³×C₄	C₂×#120	1	2	yes	—
749	C₂³×C₄	C₂×#120	1	4	yes	—
750	C₂³×C₄	C₂×#121	1	2	yes	—
751	C₂³×C₄	C₂×#121	1	2	yes	—
752	C₂³×C₄	C₂×#121	1	2	yes	—
753	C₂³×C₄	C₂×#121	1	2	yes	—
754	C₂³×C₄	C₂×#121	1	2	yes	—
755	C₂³×C₄	C₂×#121	1	2	yes	—
756	C₂³×C₄	C₂×#121	1	2	yes	—
757	C₂³×C₄	C₂×#121	1	2	yes	—
758	C₂³×C₄	C₂×#127	1	1	yes	characteristic
759	C₂³×C₄	C₂×#127	1	1	yes	characteristic
760	C₂³×C₄	C₂×#127	1	1	yes	characteristic
761	C₂³×C₄	C₂×#127	1	1	yes	characteristic
762	C₂³×C₄	#534	1	2	yes	—
763	C₂³×C₄	#534	1	2	yes	—
764	C₂³×C₄	#534	1	2	yes	—
765	C₂³×C₄	#534	1	2	yes	—
766	C₂³×C₄	#534	1	2	yes	—
767	C₂³×C₄	#534	1	2	yes	—
768	C₂³×C₄	#534	1	2	yes	—
769	C₂³×C₄	#534	1	2	yes	—
770	C₂³×C₄	#534	1	2	yes	—
771	C₂³×C₄	#534	1	2	yes	—
772	C₂³×C₄	#535	1	1	yes	characteristic
773	C₂³×C₄	#535	1	1	yes	characteristic
774	C₂³×C₄	#535	1	1	yes	characteristic
775	C₂³×C₄	#535	1	1	yes	characteristic
776	C₂³×C₄	#535	1	2	yes	—
777	C₂³×C₄	#535	1	2	yes	—
778	C₂³×C₄	D₄²	1	2	yes	—
779	C₂³×C₄	D₄²	1	2	yes	—
780	C₂³×C₄	D₄²	1	2	yes	—
781	C₂³×C₄	D₄²	1	2	yes	—
782	C₂³×C₄	D₄²	1	2	yes	—
783	C₂³×C₄	D₄²	1	2	yes	—
784	C₂³×C₄	D₄²	1	2	yes	—
785	C₂³×C₄	D₄²	1	2	yes	—
786	C₂³×C₄	D₄²	1	2	yes	—
787	C₂³×C₄	D₄²	1	2	yes	—
788	C₂³×C₄	D₄²	1	1	yes	characteristic
789	C₂³×C₄	D₄²	1	1	yes	characteristic
790	C₂³×C₄	D₄²	1	1	yes	characteristic
791	C₂³×C₄	D₄²	1	1	yes	characteristic
792	C₂³×C₄	D₄²	1	1	yes	characteristic
793	C₂³×C₄	D₄²	1	1	yes	characteristic
794	C₂³×C₄	D₄²	1	1	yes	characteristic
795	C₂³×C₄	D₄²	1	1	yes	characteristic
796	C₂³×C₄	D₄²	1	1	yes	characteristic
797	C₂³×C₄	D₄²	1	1	yes	characteristic
798	C₂³×C₄	D₄²	1	1	yes	characteristic
799	C₂³×C₄	D₄²	1	1	yes	characteristic
800	C₂³×C₄	D₄²	1	2	yes	—
801	C₂³×C₄	D₄²	1	2	yes	—
802	C₂³×C₄	D₄²	1	2	yes	—
803	C₂³×C₄	D₄²	1	2	yes	—
804	C₂³×C₄	D₄²	1	2	yes	—
805	C₂³×C₄	D₄²	1	2	yes	—
806	C₂³×C₄	D₄²	1	2	yes	—
807	C₂³×C₄	D₄²	1	2	yes	—
808	C₂³×C₄	#546	1	2	yes	—
809	C₂³×C₄	#546	1	2	yes	—
810	C₂³×C₄	#546	1	2	yes	—
811	C₂³×C₄	#546	1	2	yes	—
812	C₂³×C₄	#546	1	2	yes	—
813	C₂³×C₄	#546	1	2	yes	—
814	C₂³×C₄	#546	1	2	yes	—
815	C₂³×C₄	#546	1	2	yes	—
816	C₂³×C₄	#546	1	2	yes	—
817	C₂³×C₄	#546	1	2	yes	—
818	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
819	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
820	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
821	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
822	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
823	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
824	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
825	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
826	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
827	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
828	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
829	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
830	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
831	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
832	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
833	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
834	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
835	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
836	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
837	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
838	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
839	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
840	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
841	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
842	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
843	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
844	C₂³×C₄	#585	1	1	yes	characteristic
845	C₂³×C₄	#585	1	1	yes	characteristic
846	C₂³×C₄	#585	1	1	yes	characteristic
847	C₂³×C₄	#585	1	1	yes	characteristic
848	C₂×M₁₆	D₄²	1	4	yes	complemented
849	C₂²×C₈	D₄²	1	4	yes	complemented
850	C₂²⋊Q₈	#392	1	8	yes	—
851	C₂²⋊Q₈	#392	1	8	yes	—
852	C₂²⋊Q₈	#392	1	8	yes	—
853	C₂²⋊Q₈	#392	1	8	yes	—
854	#121	#392	1	8	yes	—
855	#121	#392	1	8	yes	—
856	#121	#392	1	8	yes	—
857	#121	#392	1	8	yes	—
858	#117	C₂×#120	1	4	yes	—
859	#117	C₂×#121	1	4	yes	—
860	#117	C₂×#121	1	4	yes	—
861	#117	C₂×#121	1	4	yes	—
862	#117	C₂×#127	1	4	yes	—
863	#117	#534	1	4	yes	—
864	#117	D₄²	1	4	yes	—
865	#117	#546	1	4	yes	—
866	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
867	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
868	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
869	C₂×C₄⋊C₄	C₂×#121	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
872	C₂×C₄²	C₂×#120	1	4	yes	—
873	C₂×C₄²	C₂×#120	1	4	yes	—
874	C₂×C₄²	D₄²	1	4	yes	—
875	C₂×C₄²	D₄²	1	4	yes	complemented
876	C₂×C₄²	#546	1	4	yes	—
877	C₂⁴	#2403	1	2	yes	—
878	C₂⁴	#2403	1	2	yes	—
879	C₂⁴	#2403	1	2	yes	—
880	C₂⁴	#2403	1	2	yes	—
881	C₂⁴	#2408	1	2	yes	—
882	C₂⁴	#2408	1	2	yes	—
883	C₂⁴	#2410	1	2	yes	—
884	C₂⁴	#2410	1	2	yes	—
885	C₂⁴	#2410	1	2	yes	—
886	C₂⁴	#2410	1	2	yes	—
887	C₂⁴	#2410	1	2	yes	—
888	C₂⁴	#2410	1	2	yes	—
889	C₂⁴	#2433	1	1	yes	characteristic
890	C₂⁴	#2433	1	1	yes	characteristic
891	C₂⁴	#2433	1	1	yes	characteristic
892	C₂⁴	#2433	1	1	yes	characteristic
893	C₂⁴	#2846	1	2	yes	—
894	C₂⁴	#2846	1	2	yes	—
895	C₂⁴	C₂²×#120	1	1	yes	characteristic
896	C₂⁴	C₂²×#120	1	1	yes	characteristic
897	C₂⁴	C₂²×#120	1	1	yes	characteristic
898	C₂⁴	C₂×D₄²	1	1	yes	characteristic
899	C₂⁴	C₂×D₄²	1	1	yes	characteristic
900	C₂⁴	C₂×D₄²	1	1	yes	characteristic
901	C₂⁴	C₂×D₄²	1	1	yes	characteristic
902	C₂⁴	C₂×#546	1	1	yes	characteristic
903	C₂⁴	C₂×#546	1	1	yes	characteristic
904	C₂⁴	#3484	1	1	yes	characteristic
905	C₂⁴	#3484	1	1	yes	characteristic
906	C₂⁴	#3484	1	1	yes	characteristic
907	C₂⁴	#3485	1	1	yes	characteristic
908	C₂⁴	#3496	1	1	yes	characteristic
909	C₂⁴	#3496	1	1	yes	characteristic
910	C₂×Q₈	C₂×#392	1	4	yes	—
911	C₂×Q₈	#2410	1	4	yes	—
912	C₂×D₄	C₂×#392	1	4	yes	—
913	C₂×D₄	#2410	1	4	yes	—
914	C₂²×C₄	C₂×#392	1	2	yes	—
915	C₂²×C₄	C₂×#392	1	2	yes	—
916	C₂²×C₄	C₂×#392	1	2	yes	—
917	C₂²×C₄	C₂×#392	1	2	yes	—
918	C₂²×C₄	#2403	1	2	yes	—
919	C₂²×C₄	#2403	1	2	yes	—
920	C₂²×C₄	#2403	1	2	yes	—
921	C₂²×C₄	#2403	1	2	yes	—
922	C₂²×C₄	#2403	1	2	yes	—
923	C₂²×C₄	#2403	1	2	yes	—
924	C₂²×C₄	#2403	1	2	yes	—
925	C₂²×C₄	#2403	1	2	yes	—
926	C₂²×C₄	#2403	1	2	yes	—
927	C₂²×C₄	#2403	1	2	yes	—
928	C₂²×C₄	#2403	1	2	yes	—
929	C₂²×C₄	#2403	1	2	yes	—
930	C₂²×C₄	#2408	1	2	yes	—
931	C₂²×C₄	#2408	1	2	yes	—
932	C₂²×C₄	#2408	1	2	yes	—
933	C₂²×C₄	#2408	1	2	yes	—
934	C₂²×C₄	#2408	1	2	yes	—
935	C₂²×C₄	#2408	1	2	yes	—
936	C₂²×C₄	#2410	1	2	yes	—
937	C₂²×C₄	#2410	1	2	yes	—
938	C₂²×C₄	#2410	1	2	yes	—
939	C₂²×C₄	#2410	1	2	yes	—
940	C₂²×C₄	#2410	1	2	yes	—
941	C₂²×C₄	#2410	1	2	yes	—
942	C₂²×C₄	#2410	1	2	yes	—
943	C₂²×C₄	#2410	1	2	yes	—
944	C₂²×C₄	#2410	1	2	yes	—
945	C₂²×C₄	#2410	1	2	yes	—
946	C₂²×C₄	#2410	1	2	yes	—
947	C₂²×C₄	#2410	1	2	yes	—
948	C₂²×C₄	#2410	1	2	yes	—
949	C₂²×C₄	#2410	1	2	yes	—
950	C₂²×C₄	#2433	1	2	yes	—
951	C₂²×C₄	#2433	1	2	yes	—
952	C₂²×C₄	#2433	1	2	yes	—
953	C₂²×C₄	#2433	1	2	yes	—
954	C₂²×C₄	#2433	1	1	yes	characteristic
955	C₂²×C₄	#2433	1	1	yes	characteristic
956	C₂²×C₄	#2433	1	1	yes	characteristic
957	C₂²×C₄	#2433	1	1	yes	characteristic
958	C₂²×C₄	#2613	1	2	yes	—
959	C₂²×C₄	#2613	1	2	yes	—
960	C₂²×C₄	#2613	1	2	yes	—
961	C₂²×C₄	#2613	1	2	yes	—
962	C₂²×C₄	#2846	1	2	yes	—
963	C₂²×C₄	#2846	1	2	yes	—
964	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
965	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
966	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
967	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
968	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
969	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
970	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
971	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
972	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
973	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
974	C₂²×C₄	C₂²×#127	1	1	yes	characteristic
975	C₂²×C₄	C₂×#534	1	1	yes	characteristic
976	C₂²×C₄	C₂×#534	1	1	yes	characteristic
977	C₂²×C₄	C₂×#534	1	1	yes	characteristic
978	C₂²×C₄	C₂×#534	1	1	yes	characteristic
979	C₂²×C₄	C₂×#534	1	1	yes	characteristic
980	C₂²×C₄	C₂×#534	1	1	yes	characteristic
981	C₂²×C₄	C₂×#534	1	1	yes	characteristic
982	C₂²×C₄	C₂×#535	1	1	yes	characteristic
983	C₂²×C₄	C₂×#535	1	1	yes	characteristic
984	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
985	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
986	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
987	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
988	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
989	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
990	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
991	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
992	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
993	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
994	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
995	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
996	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
997	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
998	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
999	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1000	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1001	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1002	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1003	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1004	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1005	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1006	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1007	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1008	C₂²×C₄	C₂×#546	1	1	yes	characteristic
1009	C₂²×C₄	D₄×#41	1	1	yes	characteristic
1010	C₂²×C₄	D₄×#41	1	1	yes	characteristic
1011	C₂²×C₄	D₄×#41	1	1	yes	characteristic
1012	C₂²×C₄	D₄×#41	1	1	yes	characteristic
1013	C₂²×C₄	#3481	1	1	yes	characteristic
1014	C₂²×C₄	#3484	1	1	yes	characteristic
1015	C₂²×C₄	#3484	1	1	yes	characteristic
1016	C₂²×C₄	#3484	1	1	yes	characteristic
1017	C₂²×C₄	#3484	1	1	yes	characteristic
1018	C₂²×C₄	#3484	1	1	yes	characteristic
1019	C₂²×C₄	#3484	1	1	yes	characteristic
1020	C₂²×C₄	#3484	1	1	yes	characteristic
1021	C₂²×C₄	#3484	1	1	yes	characteristic
1022	C₂²×C₄	#3484	1	1	yes	characteristic
1023	C₂²×C₄	#3484	1	1	yes	characteristic
1024	C₂²×C₄	#3484	1	1	yes	characteristic
1025	C₂²×C₄	#3484	1	1	yes	characteristic
1026	C₂²×C₄	#3484	1	1	yes	characteristic
1027	C₂²×C₄	#3484	1	1	yes	characteristic
1028	C₂²×C₄	#3484	1	1	yes	characteristic
1029	C₂²×C₄	#3484	1	1	yes	characteristic
1030	C₂²×C₄	#3484	1	1	yes	characteristic
1031	C₂²×C₄	#3484	1	1	yes	characteristic
1032	C₂²×C₄	#3484	1	1	yes	characteristic
1033	C₂²×C₄	#3484	1	1	yes	characteristic
1034	C₂²×C₄	#3485	1	1	yes	characteristic
1035	C₂²×C₄	#3485	1	1	yes	characteristic
1036	C₂²×C₄	#3485	1	1	yes	characteristic
1037	C₂²×C₄	#3488	1	1	yes	characteristic
1038	C₂²×C₄	#3488	1	1	yes	characteristic
1039	C₂²×C₄	#3488	1	1	yes	characteristic
1040	C₂²×C₄	#3488	1	1	yes	characteristic
1041	C₂²×C₄	#3488	1	1	yes	characteristic
1042	C₂²×C₄	#3488	1	1	yes	characteristic
1043	C₂²×C₄	#3488	1	1	yes	characteristic
1044	C₂²×C₄	#3488	1	1	yes	characteristic
1045	C₂²×C₄	#3488	1	1	yes	characteristic
1046	C₂²×C₄	#3488	1	1	yes	characteristic
1047	C₂²×C₄	#3488	1	1	yes	characteristic
1048	C₂²×C₄	#3488	1	1	yes	characteristic
1049	C₂²×C₄	#3488	1	1	yes	characteristic
1050	C₂²×C₄	#3496	1	1	yes	characteristic
1051	C₂²×C₄	#3496	1	1	yes	characteristic
1052	C₂²×C₄	#3496	1	1	yes	characteristic
1053	C₂²×C₄	#3496	1	1	yes	characteristic
1054	C₂²×C₄	#3496	1	1	yes	characteristic
1055	C₂²×C₄	#3496	1	1	yes	characteristic
1056	C₂²×C₄	#3496	1	1	yes	characteristic
1057	C₂²×C₄	#3496	1	1	yes	characteristic
1058	C₂²×C₄	#3496	1	1	yes	characteristic
1059	C₂²×C₄	#3496	1	1	yes	characteristic
1060	C₂²×C₄	#3496	1	1	yes	characteristic
1061	C₂²×C₄	#3496	1	1	yes	characteristic
1062	C₂²×C₄	#3496	1	1	yes	characteristic
1063	C₂²×C₄	#3498	1	1	yes	characteristic
1064	C₂²×C₄	#3498	1	1	yes	characteristic
1065	C₂²×C₄	#3498	1	1	yes	characteristic
1066	C₂²×C₄	#3498	1	1	yes	characteristic
1067	C₂²×C₄	#3498	1	1	yes	characteristic
1068	C₂²×C₄	#3500	1	1	yes	characteristic
1069	C₂²×C₄	#3500	1	1	yes	characteristic
1070	C₂²×C₄	#3513	1	1	yes	characteristic
1071	C₂²×C₄	#3513	1	1	yes	characteristic
1072	C₂²×C₄	#3513	1	1	yes	characteristic
1073	C₂²×C₄	#3514	1	1	yes	characteristic
1074	C₂²×C₄	#3519	1	1	yes	characteristic
1075	C₂²×C₄	#3519	1	1	yes	characteristic
1076	C₂²×C₄	#3519	1	1	yes	characteristic
1077	C₂²×C₄	#3519	1	1	yes	characteristic
1078	C₂²×C₄	#3519	1	1	yes	characteristic
1079	C₂²×C₄	#3519	1	1	yes	characteristic
1080	C₂²×C₄	#3532	1	1	yes	characteristic
1081	C₂²×C₄	#3532	1	1	yes	characteristic
1082	C₂²×C₄	#3534	1	1	yes	characteristic
1083	C₂²×C₄	#3534	1	1	yes	characteristic
1084	C₂²×C₄	#3534	1	1	yes	characteristic
1085	C₂²×C₄	#3534	1	1	yes	characteristic
1086	C₂²×C₄	#3534	1	1	yes	characteristic
1087	C₂²×C₄	#3534	1	1	yes	characteristic
1088	C₂²×C₄	#3534	1	1	yes	characteristic
1089	C₂²×C₄	#3534	1	1	yes	characteristic
1090	C₂²×C₄	#3537	1	1	yes	characteristic
1091	C₂²×C₄	#3537	1	1	yes	characteristic
1092	C₂²×C₄	#3537	1	1	yes	characteristic
1093	C₂²×C₄	#3537	1	1	yes	characteristic
1094	C₂²×C₄	#3537	1	1	yes	characteristic
1095	C₂²×C₄	#3537	1	1	yes	characteristic
1096	C₂²×C₄	#3537	1	1	yes	characteristic
1097	C₂²×C₄	#3537	1	1	yes	characteristic
1098	C₂²×C₄	#3537	1	1	yes	characteristic
1099	C₂²×C₄	#3542	1	1	yes	characteristic
1100	C₂²×C₄	#3543	1	1	yes	characteristic
1101	C₂²×C₄	#3558	1	1	yes	characteristic
1102	C₂²×C₄	#3558	1	1	yes	characteristic
1103	C₂²×C₄	#3558	1	1	yes	characteristic
1104	C₄⋊C₄	C₂×#392	1	8	yes	—
1105	C₄²	#2410	1	8	yes	—
1106	C₂³	#14715	1	2	yes	—
1107	C₂³	#14715	1	2	yes	—
1108	C₂³	#14715	1	2	yes	—
1109	C₂³	#14715	1	2	yes	—
1110	C₂³	C₂×#2403	1	1	yes	characteristic
1111	C₂³	C₂×#2403	1	1	yes	characteristic
1112	C₂³	C₂×#2410	1	1	yes	characteristic
1113	C₂³	C₂×#2410	1	1	yes	characteristic
1114	C₂³	C₂×#2410	1	1	yes	characteristic
1115	C₂³	C₂×#2408	1	1	yes	characteristic
1116	C₂³	C₂×#2433	1	1	yes	characteristic
1117	C₂³	#34980	1	1	yes	characteristic
1118	C₂³	#35347	1	1	yes	characteristic
1119	C₂³	#35347	1	1	yes	characteristic
1120	C₂³	#35680	1	1	yes	characteristic
1121	C₂³	#35680	1	1	yes	characteristic
1122	C₂³	#35750	1	1	yes	characteristic
1123	C₂³	#35750	1	1	yes	characteristic
1124	C₂³	D₄×#120	1	1	yes	characteristic
1125	C₂³	D₄×#120	1	1	yes	characteristic
1126	C₂³	#36152	1	1	yes	characteristic
1127	C₂³	#36152	1	1	yes	characteristic
1128	C₂³	C₂×#2846	1	1	yes	characteristic
1129	C₂³	#42996	1	1	yes	characteristic
1130	C₂³	#42998	1	1	yes	characteristic
1131	C₂³	#43001	1	1	yes	characteristic
1132	C₂³	#43001	1	1	yes	characteristic
1133	C₂³	#43019	1	1	yes	characteristic
1134	C₂³	#43023	1	1	yes	characteristic
1135	C₂³	#43023	1	1	yes	characteristic
1136	C₂³	#43886	1	1	yes	characteristic
1137	C₂³	#58990	1	1	yes	characteristic
1138	C₂³	#58994	1	1	yes	characteristic
1139	C₂³	#58994	1	1	yes	characteristic
1140	C₂³	#58997	1	1	yes	characteristic
1141	C₂³	#58997	1	1	yes	characteristic
1142	C₂³	#59089	1	1	yes	characteristic
1143	C₂³	#59123	1	1	yes	characteristic
1144	C₂³	#59123	1	1	yes	characteristic
1145	C₂×C₄	#14715	1	2	yes	—
1146	C₂×C₄	#14715	1	2	yes	—
1147	C₂×C₄	#14715	1	2	yes	—
1148	C₂×C₄	#14715	1	2	yes	—
1149	C₂×C₄	C₂²×#392	1	1	yes	characteristic
1150	C₂×C₄	C₂×#2613	1	1	yes	characteristic
1151	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1152	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1153	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1154	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1155	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1156	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1157	C₂×C₄	C₂×#2408	1	1	yes	characteristic
1158	C₂×C₄	C₂×#2433	1	1	yes	characteristic
1159	C₂×C₄	#34980	1	1	yes	characteristic
1160	C₂×C₄	#34980	1	1	yes	characteristic
1161	C₂×C₄	#35347	1	1	yes	characteristic
1162	C₂×C₄	#35347	1	1	yes	characteristic
1163	C₂×C₄	#35513	1	1	yes	characteristic
1164	C₂×C₄	#35513	1	1	yes	characteristic
1165	C₂×C₄	#35680	1	1	yes	characteristic
1166	C₂×C₄	#35680	1	1	yes	characteristic
1167	C₂×C₄	#35680	1	1	yes	characteristic
1168	C₂×C₄	#35680	1	1	yes	characteristic
1169	C₂×C₄	#35680	1	1	yes	characteristic
1170	C₂×C₄	#35680	1	1	yes	characteristic
1171	C₂×C₄	#35691	1	1	yes	characteristic
1172	C₂×C₄	#35691	1	1	yes	characteristic
1173	C₂×C₄	#35691	1	1	yes	characteristic
1174	C₂×C₄	#35728	1	1	yes	characteristic
1175	C₂×C₄	#35750	1	1	yes	characteristic
1176	C₂×C₄	#35750	1	1	yes	characteristic
1177	C₂×C₄	#35761	1	1	yes	characteristic
1178	C₂×C₄	#35761	1	1	yes	characteristic
1179	C₂×C₄	#35921	1	1	yes	characteristic
1180	C₂×C₄	#35921	1	1	yes	characteristic
1181	C₂×C₄	D₄×#120	1	1	yes	characteristic
1182	C₂×C₄	D₄×#120	1	1	yes	characteristic
1183	C₂×C₄	D₄×#120	1	1	yes	characteristic
1184	C₂×C₄	D₄×#120	1	1	yes	characteristic
1185	C₂×C₄	D₄×#121	1	1	yes	characteristic
1186	C₂×C₄	D₄×#121	1	1	yes	characteristic
1187	C₂×C₄	D₄×#121	1	1	yes	characteristic
1188	C₂×C₄	D₄×#121	1	1	yes	characteristic
1189	C₂×C₄	D₄×#121	1	1	yes	characteristic
1190	C₂×C₄	D₄×#121	1	1	yes	characteristic
1191	C₂×C₄	D₄×#127	1	1	yes	characteristic
1192	C₂×C₄	#36152	1	1	yes	characteristic
1193	C₂×C₄	#36152	1	1	yes	characteristic
1194	C₂×C₄	#36212	1	1	yes	characteristic
1195	C₂×C₄	#36212	1	1	yes	characteristic
1196	C₂×C₄	#36214	1	1	yes	characteristic
1197	C₂×C₄	#36214	1	1	yes	characteristic
1198	C₂×C₄	#36214	1	1	yes	characteristic
1199	C₂×C₄	#36258	1	1	yes	characteristic
1200	C₂×C₄	#36260	1	1	yes	characteristic
1201	C₂×C₄	#37646	1	1	yes	characteristic
1202	C₂×C₄	#37646	1	1	yes	characteristic
1203	C₂×C₄	#37650	1	1	yes	characteristic
1204	C₂×C₄	#37672	1	1	yes	characteristic
1205	C₂×C₄	#37672	1	1	yes	characteristic
1206	C₂×C₄	#37672	1	1	yes	characteristic
1207	C₂×C₄	#37672	1	1	yes	characteristic
1208	C₂×C₄	#37672	1	1	yes	characteristic
1209	C₂×C₄	#37672	1	1	yes	characteristic
1210	C₂×C₄	#37672	1	1	yes	characteristic
1211	C₂×C₄	#37672	1	1	yes	characteristic
1212	C₂×C₄	#37677	1	1	yes	characteristic
1213	C₂×C₄	#38020	1	1	yes	characteristic
1214	C₂×C₄	#38020	1	1	yes	characteristic
1215	C₂×C₄	#38026	1	1	yes	characteristic
1216	C₂×C₄	#38076	1	1	yes	characteristic
1217	C₂×C₄	#38076	1	1	yes	characteristic
1218	C₂×C₄	#38076	1	1	yes	characteristic
1219	C₂×C₄	#38076	1	1	yes	characteristic
1220	C₂×C₄	#38080	1	1	yes	characteristic
1221	C₂×C₄	#38949	1	1	yes	characteristic
1222	C₂×C₄	#39358	1	1	yes	characteristic
1223	C₂×C₄	#39358	1	1	yes	characteristic
1224	C₂×C₄	#39358	1	1	yes	characteristic
1225	C₂×C₄	#40486	1	1	yes	characteristic
1226	C₂×C₄	#40486	1	1	yes	characteristic
1227	C₂×C₄	#40486	1	1	yes	characteristic
1228	C₂×C₄	#40486	1	1	yes	characteristic
1229	C₂×C₄	#40490	1	1	yes	characteristic
1230	C₂×C₄	#40494	1	1	yes	characteristic
1231	C₂×C₄	#40584	1	1	yes	characteristic
1232	C₂×C₄	#40584	1	1	yes	characteristic
1233	C₂×C₄	#40585	1	1	yes	characteristic
1234	C₂×C₄	#40585	1	1	yes	characteristic
1235	C₂×C₄	#40594	1	1	yes	characteristic
1236	C₂×C₄	#40594	1	1	yes	characteristic
1237	C₂×C₄	#42996	1	1	yes	characteristic
1238	C₂×C₄	#42998	1	1	yes	characteristic
1239	C₂×C₄	#43001	1	1	yes	characteristic
1240	C₂×C₄	#43001	1	1	yes	characteristic
1241	C₂×C₄	#43001	1	1	yes	characteristic
1242	C₂×C₄	#43001	1	1	yes	characteristic
1243	C₂×C₄	#43019	1	1	yes	characteristic
1244	C₂×C₄	#43023	1	1	yes	characteristic
1245	C₂×C₄	#43023	1	1	yes	characteristic
1246	C₂×C₄	#43098	1	1	yes	characteristic
1247	C₂×C₄	#43098	1	1	yes	characteristic
1248	C₂×C₄	#43102	1	1	yes	characteristic
1249	C₂×C₄	#43102	1	1	yes	characteristic
1250	C₂×C₄	#43886	1	1	yes	characteristic
1251	C₂×C₄	#43889	1	1	yes	characteristic
1252	C₂×C₄	#43889	1	1	yes	characteristic
1253	C₂×C₄	#58990	1	1	yes	characteristic
1254	C₂×C₄	#58994	1	1	yes	characteristic
1255	C₂×C₄	#58994	1	1	yes	characteristic
1256	C₂×C₄	#58997	1	1	yes	characteristic
1257	C₂×C₄	#58997	1	1	yes	characteristic
1258	C₂×C₄	#58997	1	1	yes	characteristic
1259	C₂×C₄	#58997	1	1	yes	characteristic
1260	C₂×C₄	#59089	1	1	yes	characteristic
1261	C₂×C₄	#59095	1	1	yes	characteristic
1262	C₂×C₄	#59095	1	1	yes	characteristic
1263	C₂×C₄	#59123	1	1	yes	characteristic
1264	C₂×C₄	#59123	1	1	yes	characteristic
1265	C₂×C₄	#59126	1	1	yes	characteristic
1266	C₂×C₄	#59131	1	1	yes	characteristic
1267	C₂×C₄	#59408	1	1	yes	characteristic
1268	C₂×C₄	#59808	1	1	yes	characteristic
1269	C₂²	#394108	1	4	yes	complemented
1270	C₂²	C₂×#14715	1	1	yes	characteristic
1271	C₂²	#612433	1	1	yes	characteristic
1272	C₂²	#647714	1	1	yes	characteristic
1273	C₂²	#649101	1	1	yes	characteristic
1274	C₂²	#687584	1	1	yes	characteristic
1275	C₂²	#687655	1	1	yes	characteristic
1276	C₂²	#772778	1	1	yes	characteristic
1277	C₂²	#772779	1	1	yes	characteristic
1278	C₂²	#773154	1	1	yes	characteristic
1279	C₂²	#773155	1	1	yes	characteristic
1280	C₂²	#773780	1	1	yes	characteristic
1281	C₂²	#773781	1	1	yes	characteristic
1282	C₂²	#774390	1	1	yes	characteristic
1283	C₂²	#774391	1	1	yes	characteristic
1284	C₂²	#4930494	1	1	yes	characteristic
1285	C₄	#647714	1	1	yes	characteristic
1286	C₄	#647723	1	1	yes	characteristic
1287	C₄	#649101	1	1	yes	characteristic
1288	C₄	#649106	1	1	yes	characteristic
1289	C₄	#687584	1	1	yes	characteristic
1290	C₄	#687655	1	1	yes	characteristic
1291	C₄	#719640	1	1	yes	characteristic
1292	C₄	#719692	1	1	yes	characteristic
1293	C₄	#772778	1	1	yes	characteristic
1294	C₄	#772779	1	1	yes	characteristic
1295	C₄	#773154	1	1	yes	characteristic
1296	C₄	#773155	1	1	yes	characteristic
1297	C₄	#1393170	1	1	yes	characteristic
1298	C₄	#1393546	1	1	yes	characteristic
1299	C₄	D₄×#392	1	1	yes	characteristic
1300	C₄	#4306523	1	1	yes	characteristic
1301	C₂	C₂×#394108	1	2	yes	—
1302	C₂	#72251013	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×#2433
commutator, Frattini, cosocle	C₂⁴×C₄	C₂⁵
socle	C₂²	C₂×#14715
LCS	G ▷ C₂⁴×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂⁵×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. #72317404	C₂	semidirect
2. #72317401	C₂	semidirect
3. #72317396	C₂	semidirect
4. #72317392	C₂	semidirect
5. #72317387	C₂	semidirect
6. #72317383	C₂	semidirect
7. #72317373	C₂	semidirect
8. #72317367	C₂	semidirect
9. #72317358	C₂	semidirect
10. #72317347	C₂	semidirect
11. #72317316	C₂	semidirect
12. #72317312	C₂	semidirect
13. #72317310	C₂	semidirect
14. #72316901	C₂	semidirect
15. #72316897	C₂	semidirect
16. #72316894	C₂	semidirect
17. #72316876	C₂	semidirect
18. #72316823	C₂	semidirect
19. #72316808	C₂	semidirect
20. #72312550	C₂	semidirect
21. #72310642	C₂	semidirect
22. #72305346	C₂	semidirect
23. #72280335	C₂	semidirect
24. C₂²×#10994	C₂	semidirect
25. #72279346	C₂	semidirect
26. #72268516	C₂	semidirect
27. #72255963	C₂	semidirect
28. #72239651	C₂	semidirect
29. #72236785	C₂	semidirect
30. C₂×#394108	C₂	semidirect
31. C₂×#393988	C₂	semidirect
37. C₂×#60444	C₂²	semidirect
38. C₂×#60387	C₂²	semidirect
39. C₂×#60359	C₂²	semidirect
40. C₂×#60359	C₂²	semidirect
41. C₂³×#407	C₂²	semidirect
42. C₂²×#2896	C₂²	semidirect
43. C₂³×#421	C₂²	semidirect
45. C₂×#36614	C₂²	semidirect
52. #7628650	C₂²	semidirect
57. C₂²×#2280	C₂²	semidirect
58. #6431889	C₂²	semidirect
59. #6431881	C₂²	semidirect
60. #6431856	C₂²	semidirect
61. #6431856	C₂²	semidirect
62. C₂×#23443	C₂²	semidirect
63. C₂×#23443	C₂²	semidirect
64. C₂×#23414	C₂²	semidirect
66. C₂²×#2010	C₂²	semidirect
67. C₂²×#2010	C₂²	semidirect
68. C₂²×#2010	C₂²	semidirect
69. C₂×#23412	C₂²	semidirect
70. C₂×#23412	C₂²	semidirect
71. #6431733	C₂²	semidirect
72. #6431722	C₂²	semidirect
73. #6431698	C₂²	semidirect
74. #6431698	C₂²	semidirect
75. C₂×#21000	C₂²	semidirect
76. C₂×#20989	C₂²	semidirect
77. C₂×#20983	C₂²	semidirect
78. C₂×#20983	C₂²	semidirect
81. C₂×#20979	C₂²	semidirect
82. C₂×#20979	C₂²	semidirect
83. C₂×#20979	C₂²	semidirect
85. #6371477	C₂²	semidirect
86. #6371439	C₂²	semidirect
87. #6371380	C₂²	semidirect
88. #6371361	C₂²	semidirect
89. #6371298	C₂²	semidirect
90. #6371269	C₂²	semidirect
91. C₂×#20620	C₂²	semidirect
92. C₂×#20620	C₂²	semidirect
93. #6370746	C₂²	semidirect
94. C₂×#20605	C₂²	semidirect
95. C₂×#20605	C₂²	semidirect
96. C₂×#20605	C₂²	semidirect
97. #6370715	C₂²	semidirect
98. C₂×#20579	C₂²	semidirect
99. C₂²×#1733	C₂²	semidirect
100. C₂³×H(3,ℤ/4)	C₂²	semidirect
101. #358477	C₂²	semidirect
102. #358074	C₂²	semidirect
103. #357967	C₂²	semidirect
104. #357818	C₂²	semidirect
105. #357818	C₂²	semidirect
106. #357752	C₂²	semidirect
107. #357752	C₂²	semidirect
108. #357709	C₂²	semidirect
109. #357681	C₂²	semidirect
110. #357641	C₂²	semidirect
111. #357641	C₂²	semidirect
112. #357586	C₂²	semidirect
113. #357586	C₂²	semidirect
114. #357577	C₂²	semidirect
115. #357561	C₂²	semidirect
116. #357561	C₂²	semidirect
117. C₂×#11003	C₂²	semidirect
118. C₂×#11003	C₂²	semidirect
119. C₂×#11003	C₂²	semidirect
120. C₂×#11003	C₂²	semidirect
121. C₂×#11000	C₂²	semidirect
122. C₂×#11000	C₂²	semidirect
123. #357556	C₂²	semidirect
124. #357556	C₂²	semidirect
125. #357548	C₂²	semidirect
126. #357548	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. C₂×#10994	C₂²	semidirect
136. C₂×#10994	C₂²	semidirect
137. C₂×#10994	C₂²	semidirect
138. C₂×#10994	C₂²	semidirect
139. #357546	C₂²	semidirect
140. C₂×#10993	C₂²	semidirect
141. C₂×#10993	C₂²	semidirect
142. C₂×#10993	C₂²	semidirect
143. C₂×#10993	C₂²	semidirect
144. #357529	C₂²	semidirect
145. #357529	C₂²	semidirect
146. #357529	C₂²	semidirect
147. #357529	C₂²	semidirect
148. #357486	C₂²	semidirect
149. #357486	C₂²	semidirect
150. #357440	C₂²	semidirect
151. #357440	C₂²	semidirect
152. #357440	C₂²	semidirect
153. #357440	C₂²	semidirect
154. #354116	C₂²	semidirect
155. #353916	C₂²	semidirect
156. #353454	C₂²	semidirect
157. #353454	C₂²	semidirect
158. C₂×#10737	C₂²	semidirect
159. #353400	C₂²	semidirect
160. #353400	C₂²	semidirect
161. C₂×#10792	C₂²	semidirect
162. C₂×#10792	C₂²	semidirect
163. #353352	C₂²	semidirect
164. C₂×#10729	C₂²	semidirect
165. #353313	C₂²	semidirect
166. C₂×#10716	C₂²	semidirect
167. #123962	C₂²	semidirect
168. #123962	C₂²	semidirect
169. #123918	C₂²	semidirect
170. #123918	C₂²	semidirect
171. #123603	C₂²	semidirect
172. #123603	C₂²	semidirect
173. #123603	C₂²	semidirect
174. #123603	C₂²	semidirect
175. #123568	C₂²	semidirect
176. #123568	C₂²	semidirect
177. #123554	C₂²	semidirect
178. #123554	C₂²	semidirect
179. #123536	C₂²	semidirect
180. #123536	C₂²	semidirect
181. #123535	C₂²	semidirect
182. #123535	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123535	C₂²	semidirect
185. #123457	C₂²	semidirect
186. #123457	C₂²	semidirect
197. C₂×#3489	D₄	semidirect
198. C₂×#3488	D₄	semidirect
205. C₂²×#525	D₄	semidirect
206. C₂²×#525	D₄	semidirect
207. C₂²×#525	D₄	semidirect
208. C₂²×#525	D₄	semidirect
223. C₂³×C₂²⋊Q₈	D₄	semidirect
224. C₂³×#121	D₄	semidirect
231. C₂×#3056	D₄	semidirect
232. C₂×#3055	D₄	semidirect
289. #35242	D₄	semidirect
290. #35222	D₄	semidirect
291. #35149	D₄	semidirect
292. #35149	D₄	semidirect
293. #34737	D₄	semidirect
294. #34065	D₄	semidirect
305. C₄×#525	D₄	semidirect
317. C₂×#1897	D₄	semidirect
318. C₂×#1896	D₄	semidirect
319. #20970	D₄	semidirect
320. #20967	D₄	semidirect
367. #10994	D₄	semidirect
397. C₂²×#137	C₂×D₄	semidirect
398. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
399. C₂³×M₁₆	C₂×D₄	semidirect
400. C₂³×M₁₆	C₂×D₄	semidirect
409. C₂⁴×C₈	C₂×D₄	semidirect
446. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
452. C₂²×#121	C₂×D₄	semidirect
463. C₂²×#117	C₂×D₄	semidirect
480. C₂³×C₄²	C₂×D₄	semidirect
481. C₂×#428	C₂×D₄	semidirect
482. C₂×#421	C₂×D₄	semidirect
483. C₂²×#104	C₂×D₄	semidirect
484. C₂²×#104	C₂×D₄	semidirect
485. #2896	C₂×D₄	semidirect
486. C₂×#417	C₂×D₄	semidirect
487. C₂×#419	C₂×D₄	semidirect
488. C₂×#418	C₂×D₄	semidirect
489. C₂×#416	C₂×D₄	semidirect
490. C₂×#416	C₂×D₄	semidirect
491. C₂×#407	C₂×D₄	semidirect
492. C₂×#407	C₂×D₄	semidirect
493. C₂×#407	C₂×D₄	semidirect
507. #2280	C₂×D₄	semidirect
508. #2280	C₂×D₄	semidirect
509. #2280	C₂×D₄	semidirect
517. #1735	C₂×D₄	semidirect
518. #1735	C₂×D₄	semidirect
519. #1733	C₂×D₄	semidirect
520. C₂×#339	C₂×D₄	semidirect
521. C₂×#339	C₂×D₄	semidirect
522. C₂×H(3,ℤ/4)	C₂×D₄	semidirect
619. #525	#121	semidirect
620. #525	#121	semidirect
848. C₂×M₁₆	D₄²	semidirect
849. C₂²×C₈	D₄²	semidirect
875. C₂×C₄²	D₄²	semidirect
1269. C₂²	#394108	semidirect

Maximal subgroups

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

subgroup	index
#72317404	2
#72317401	2
#72317396	2
#72317392	2
#72317387	2
#72317383	2
#72317373	2
#72317367	2
#72317358	2
#72317347	2
#72317316	2
#72317312	2
#72317310	2
#72316901	2
#72316897	2
#72316894	2
#72316876	2
#72316823	2
#72316808	2
#72312550	2
#72310642	2
#72305346	2
#72280335	2
C₂²×#10994	2
#72279346	2
#72268516	2
#72255963	2
#72239651	2
#72236785	2
C₂×#394108	2
C₂×#393988	2