Subgroups — C₂×#72278012 #72297510

Order 2048.

At least 12058 conjugacy classes of subgroups; only the 11088 normal subgroups are shown.

The subgroup lattice has 1110 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#153797	C₂	1	2	yes	maximal, complemented
2	C₂×#154635	C₂	1	2	yes	maximal, complemented
3	C₂×#158317	C₂	1	2	yes	maximal, complemented
4	C₂×#158317	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#155585	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#15142	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#15310	C₂	1	2	yes	maximal, complemented
8	#72278012	C₂	1	32	yes	maximal, direct product factor
9	C₂²×#15258	C₂	1	2	yes	maximal, complemented
10	C₂²×#15258	C₂	1	2	yes	maximal, complemented
11	C₂²×#15267	C₂	1	2	yes	maximal, complemented
12	C₂³×#2433	C₂	1	2	yes	maximal, complemented
13	C₂×#154671	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#156684	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#156684	C₂	1	2	yes	maximal, complemented
16	C₂×#156706	C₂	1	2	yes	maximal, complemented
17	C₂×#158314	C₂	1	2	yes	maximal, complemented
18	C₂²×#14715	C₂	1	2	yes	maximal, complemented
19	C₂×#158995	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×#2403	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁶×D₄	C₂²	1	2	yes	—
22	C₂⁴×#127	C₂²	1	2	yes	—
23	C₂⁴×#127	C₂²	1	2	yes	complemented
24	C₂⁴×#127	C₂²	1	1	yes	characteristic, complemented
25	C₂⁴×#121	C₂²	1	2	yes	complemented
26	C₂⁴×#120	C₂²	1	2	yes	—
27	C₂⁴×#120	C₂²	1	2	yes	—
28	C₂⁴×#120	C₂²	1	2	yes	—
29	C₂⁴×#120	C₂²	1	1	yes	characteristic
30	C₂⁴×#120	C₂²	1	2	yes	complemented
31	C₂⁴×#120	C₂²	1	2	yes	complemented
32	C₂⁴×#120	C₂²	1	2	yes	complemented
33	C₂²×#2433	C₂²	1	32	yes	complemented
34	C₂²×#2403	C₂²	1	16	yes	complemented
35	C₂³×#394	C₂²	1	1	yes	characteristic, complemented
36	C₂³×#394	C₂²	1	2	yes	complemented
37	C₂³×#392	C₂²	1	2	yes	—
38	C₂³×#392	C₂²	1	2	yes	—
39	C₂³×#392	C₂²	1	1	yes	characteristic
40	C₂³×#392	C₂²	1	2	yes	—
41	C₂³×#392	C₂²	1	2	yes	—
42	C₂³×#392	C₂²	1	2	yes	—
43	C₂³×#392	C₂²	1	1	yes	characteristic
44	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
45	C₂³×#392	C₂²	1	2	yes	complemented
46	C₂³×#392	C₂²	1	2	yes	complemented
47	C₂³×#392	C₂²	1	2	yes	complemented
48	C₂³×#392	C₂²	1	2	yes	complemented
49	C₂³×#392	C₂²	1	2	yes	complemented
50	C₂³×#392	C₂²	1	2	yes	complemented
51	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
52	C₂³×#392	C₂²	1	2	yes	complemented
53	C₂³×#392	C₂²	1	2	yes	complemented
54	C₂³×#392	C₂²	1	2	yes	complemented
55	C₂³×#392	C₂²	1	2	yes	complemented
56	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
57	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
58	C₂³×#392	C₂²	1	2	yes	complemented
59	C₂³×#392	C₂²	1	2	yes	complemented
60	C₂³×#390	C₂²	1	2	yes	—
61	C₂³×#390	C₂²	1	2	yes	complemented
62	C₂³×#390	C₂²	1	2	yes	complemented
63	C₂³×#390	C₂²	1	1	yes	characteristic, complemented
64	C₂³×#386	C₂²	1	2	yes	—
65	C₂³×#386	C₂²	1	2	yes	—
66	C₂³×#386	C₂²	1	2	yes	complemented
67	C₂³×#379	C₂²	1	1	yes	characteristic
68	C₂³×#379	C₂²	1	1	yes	characteristic
69	C₂³×#379	C₂²	1	2	yes	complemented
70	C₂³×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
71	C₂×#15310	C₂²	1	32	yes	complemented
72	C₂×#15267	C₂²	1	32	yes	complemented
73	C₂×#15258	C₂²	1	32	yes	complemented
74	C₂×#15258	C₂²	1	32	yes	complemented
75	C₂×#15142	C₂²	1	16	yes	complemented
76	C₂×#14715	C₂²	1	32	yes	complemented
77	C₂²×#1439	C₂²	1	2	yes	complemented
78	C₂²×#1439	C₂²	1	2	yes	complemented
79	C₂²×#1438	C₂²	1	2	yes	—
80	C₂²×#1438	C₂²	1	2	yes	—
81	C₂²×#1438	C₂²	1	2	yes	complemented
82	C₂²×#1438	C₂²	1	2	yes	complemented
83	C₂²×#1438	C₂²	1	2	yes	complemented
84	C₂²×#1438	C₂²	1	2	yes	complemented
85	C₂²×#1438	C₂²	1	2	yes	complemented
86	C₂²×#1438	C₂²	1	2	yes	complemented
87	C₂²×#1438	C₂²	1	2	yes	complemented
88	C₂²×#1438	C₂²	1	2	yes	complemented
89	C₂²×#1438	C₂²	1	2	yes	complemented
90	C₂²×#1438	C₂²	1	2	yes	complemented
91	C₂²×#1438	C₂²	1	2	yes	complemented
92	C₂²×#1438	C₂²	1	2	yes	complemented
93	C₂²×#1438	C₂²	1	2	yes	complemented
94	C₂²×#1438	C₂²	1	1	yes	characteristic, complemented
95	C₂²×#1438	C₂²	1	2	yes	complemented
96	C₂²×#1437	C₂²	1	2	yes	complemented
97	C₂²×#1437	C₂²	1	2	yes	complemented
98	C₂²×#1437	C₂²	1	2	yes	complemented
99	C₂²×#1437	C₂²	1	2	yes	complemented
100	C₂²×#1437	C₂²	1	2	yes	complemented
101	C₂²×#1437	C₂²	1	2	yes	complemented
102	C₂²×#1436	C₂²	1	2	yes	complemented
103	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
104	C₂²×C₄×#95	C₂²	1	1	yes	characteristic, complemented
105	#158995	C₂²	1	16	yes	complemented
106	#158317	C₂²	1	32	yes	complemented
107	#158317	C₂²	1	16	yes	complemented
108	#158314	C₂²	1	32	yes	complemented
109	#156706	C₂²	1	32	yes	complemented
110	#156684	C₂²	1	32	yes	complemented
111	#156684	C₂²	1	16	yes	complemented
112	#155585	C₂²	1	16	yes	complemented
113	#154671	C₂²	1	16	yes	complemented
114	#154635	C₂²	1	32	yes	complemented
115	#153797	C₂²	1	32	yes	complemented
116	C₂×#7557	C₂²	1	1	yes	characteristic, complemented
117	C₂×#7557	C₂²	1	2	yes	complemented
118	C₂×#7555	C₂²	1	2	yes	complemented
119	C₂×#7555	C₂²	1	2	yes	complemented
120	C₂×#7555	C₂²	1	2	yes	complemented
121	C₂×#7555	C₂²	1	2	yes	complemented
122	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
123	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
124	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
125	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
126	C₂×#7554	C₂²	1	2	yes	complemented
127	C₂⁸	C₂³	1	1	yes	characteristic
128	C₂⁸	C₂³	1	2	yes	—
129	C₂⁵×D₄	C₂³	1	2	yes	—
130	C₂⁵×D₄	C₂³	1	2	yes	—
131	C₂⁵×D₄	C₂³	1	2	yes	—
132	C₂⁵×D₄	C₂³	1	2	yes	—
133	C₂⁵×D₄	C₂³	1	2	yes	—
134	C₂⁵×D₄	C₂³	1	2	yes	—
135	C₂⁵×D₄	C₂³	1	1	yes	characteristic
136	C₂⁵×D₄	C₂³	1	2	yes	—
137	C₂⁵×D₄	C₂³	1	2	yes	—
138	C₂⁵×D₄	C₂³	1	2	yes	—
139	C₂⁵×D₄	C₂³	1	1	yes	characteristic
140	C₂⁵×D₄	C₂³	1	2	yes	—
141	C₂⁵×D₄	C₂³	1	2	yes	—
142	C₂⁵×D₄	C₂³	1	2	yes	—
143	C₂⁵×D₄	C₂³	1	2	yes	—
144	C₂⁵×D₄	C₂³	1	2	yes	—
145	C₂⁵×D₄	C₂³	1	2	yes	—
146	C₂⁵×D₄	C₂³	1	16	yes	—
147	C₂⁵×D₄	C₂³	1	1	yes	characteristic
148	C₂⁵×D₄	C₂³	1	2	yes	—
149	C₂⁵×D₄	C₂³	1	1	yes	characteristic
150	C₂⁶×C₄	C₂³	1	2	yes	—
151	C₂³×#127	C₂³	1	16	yes	—
152	C₂³×#127	C₂³	1	16	yes	complemented
153	C₂³×#127	C₂³	1	8	yes	complemented
154	C₂³×#121	C₂³	1	16	yes	complemented
155	C₂³×#120	D₄	1	16	yes	complemented
156	C₂³×#120	C₂³	1	16	yes	—
157	C₂³×#120	C₂³	1	16	yes	—
158	C₂³×#120	C₂³	1	16	yes	—
159	C₂³×#120	C₂³	1	8	yes	—
160	C₂³×#120	C₂³	1	16	yes	complemented
161	C₂³×#120	C₂³	1	16	yes	complemented
162	C₂³×#120	C₂³	1	16	yes	complemented
163	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
178	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
183	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
189	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
198	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
201	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂⁴×C₄²	C₂³	1	2	yes	—
203	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄²	C₂³	1	2	yes	—
205	C₂²×#394	C₂³	1	8	yes	complemented
206	C₂²×#394	C₂³	1	16	yes	complemented
207	C₂²×#392	D₄	1	16	yes	complemented
208	C₂²×#392	D₄	1	32	yes	complemented
209	C₂²×#392	C₂³	1	16	yes	—
210	C₂²×#392	C₂³	1	8	yes	—
211	C₂²×#392	C₂³	1	16	yes	—
212	C₂²×#392	C₂³	1	16	yes	—
213	C₂²×#392	C₂³	1	16	yes	—
214	C₂²×#392	C₂³	1	16	yes	—
215	C₂²×#392	C₂³	1	8	yes	—
216	C₂²×#392	C₂³	1	16	yes	complemented
217	C₂²×#392	C₂³	1	16	yes	complemented
218	C₂²×#392	C₂³	1	8	yes	complemented
219	C₂²×#392	C₂³	1	16	yes	complemented
220	C₂²×#392	C₂³	1	16	yes	complemented
221	C₂²×#392	C₂³	1	8	yes	complemented
222	C₂²×#392	C₂³	1	16	yes	complemented
223	C₂²×#392	C₂³	1	16	yes	complemented
224	C₂²×#392	C₂³	1	16	yes	complemented
225	C₂²×#392	C₂³	1	16	yes	complemented
226	C₂²×#392	C₂³	1	16	yes	complemented
227	C₂²×#392	C₂³	1	16	yes	complemented
228	C₂²×#392	C₂³	1	8	yes	complemented
229	C₂²×#392	C₂³	1	16	yes	complemented
230	C₂²×#392	C₂³	1	8	yes	complemented
231	C₂²×#392	C₂³	1	16	yes	complemented
232	C₂²×#390	D₄	1	32	yes	complemented
233	C₂²×#390	C₂³	1	16	yes	—
234	C₂²×#390	C₂³	1	16	yes	complemented
235	C₂²×#390	C₂³	1	16	yes	complemented
236	C₂²×#390	C₂³	1	8	yes	complemented
237	C₂²×#386	D₄	1	32	yes	complemented
238	C₂²×#386	C₂³	1	16	yes	—
239	C₂²×#386	C₂³	1	16	yes	—
240	C₂²×#386	C₂³	1	16	yes	complemented
241	C₂²×#379	C₂³	1	8	yes	—
242	C₂²×#379	C₂³	1	8	yes	—
243	C₂²×#379	C₂³	1	16	yes	complemented
244	C₂²×C₄×C₂²⋊C₄	C₂³	1	16	yes	complemented
245	C₂³×#95	C₂³	1	1	yes	characteristic
246	C₂³×#95	C₂³	1	1	yes	characteristic
247	C₂³×#95	C₂³	1	2	yes	—
248	C₂³×#95	C₂³	1	2	yes	—
249	C₂³×#95	C₂³	1	2	yes	—
250	C₂³×#95	C₂³	1	2	yes	—
251	C₂³×#95	C₂³	1	2	yes	—
252	C₂³×#95	C₂³	1	2	yes	—
253	C₂³×#95	C₂³	1	2	yes	—
254	C₂³×#95	C₂³	1	2	yes	—
255	C₂³×#95	C₂³	1	1	yes	characteristic
256	C₂³×#95	C₂³	1	2	yes	—
257	C₂³×#95	C₂³	1	2	yes	—
258	C₂³×#95	C₂³	1	2	yes	—
259	C₂³×#95	C₂³	1	2	yes	—
260	C₂³×#95	C₂³	1	1	yes	characteristic
261	C₂³×#95	C₂³	1	2	yes	—
262	C₂³×#95	C₂³	1	2	yes	—
263	C₂³×#95	C₂³	1	2	yes	—
264	C₂³×#95	C₂³	1	2	yes	—
265	C₂³×#95	C₂³	1	2	yes	—
266	C₂³×#95	C₂³	1	1	yes	characteristic
267	C₂×#1439	C₂³	1	16	yes	complemented
268	C₂×#1439	C₂³	1	16	yes	complemented
269	C₂×#1438	D₄	1	32	yes	complemented
270	C₂×#1438	C₂³	1	16	yes	—
271	C₂×#1438	C₂³	1	16	yes	—
272	C₂×#1438	C₂³	1	16	yes	complemented
273	C₂×#1438	C₂³	1	16	yes	complemented
274	C₂×#1438	C₂³	1	16	yes	complemented
275	C₂×#1438	C₂³	1	16	yes	complemented
276	C₂×#1438	C₂³	1	16	yes	complemented
277	C₂×#1438	C₂³	1	16	yes	complemented
278	C₂×#1438	C₂³	1	16	yes	complemented
279	C₂×#1438	C₂³	1	16	yes	complemented
280	C₂×#1438	C₂³	1	16	yes	complemented
281	C₂×#1438	C₂³	1	16	yes	complemented
282	C₂×#1438	C₂³	1	16	yes	complemented
283	C₂×#1438	C₂³	1	16	yes	complemented
284	C₂×#1438	C₂³	1	16	yes	complemented
285	C₂×#1438	C₂³	1	16	yes	complemented
286	C₂×#1438	C₂³	1	8	yes	complemented
287	C₂×#1437	C₂³	1	16	yes	complemented
288	C₂×#1437	C₂³	1	16	yes	complemented
289	C₂×#1437	C₂³	1	16	yes	complemented
290	C₂×#1437	C₂³	1	16	yes	complemented
291	C₂×#1437	C₂³	1	16	yes	complemented
292	C₂×#1437	C₂³	1	16	yes	complemented
293	C₂×#1436	C₂³	1	16	yes	complemented
294	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
295	C₂×C₄×#95	C₂³	1	8	yes	complemented
296	#7557	C₂³	1	8	yes	complemented
297	#7557	C₂³	1	16	yes	complemented
298	#7555	C₂³	1	16	yes	complemented
299	#7555	C₂³	1	16	yes	complemented
300	#7555	C₂³	1	16	yes	complemented
301	#7555	C₂³	1	16	yes	complemented
302	#7555	C₂³	1	8	yes	complemented
303	#7555	C₂³	1	8	yes	complemented
304	#7555	C₂³	1	8	yes	complemented
305	#7555	C₂³	1	8	yes	complemented
306	#7554	C₂³	1	16	yes	complemented
307	C₂⁷	C₂×D₄	1	8	yes	—
308	C₂⁷	C₂⁴	1	1	yes	characteristic
309	C₂⁷	C₂⁴	1	2	yes	—
310	C₂⁷	C₂⁴	1	2	yes	—
311	C₂⁷	C₂⁴	1	1	yes	characteristic
312	C₂⁷	C₂⁴	1	2	yes	—
313	C₂⁷	C₂⁴	1	2	yes	—
314	C₂⁷	C₂⁴	1	4	yes	—
315	C₂⁷	C₂⁴	1	8	yes	—
316	C₂⁴×D₄	C₂×D₄	1	16	yes	—
317	C₂⁴×D₄	C₂×D₄	1	16	yes	—
318	C₂⁴×D₄	C₂×D₄	1	16	yes	—
319	C₂⁴×D₄	C₂×D₄	1	16	yes	—
320	C₂⁴×D₄	C₂×D₄	1	8	yes	—
321	C₂⁴×D₄	C₂×D₄	1	16	yes	—
322	C₂⁴×D₄	C₂×D₄	1	16	yes	—
323	C₂⁴×D₄	C₂×D₄	1	16	yes	—
324	C₂⁴×D₄	C₂×D₄	1	8	yes	—
325	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
326	C₂⁴×D₄	C₂⁴	1	8	yes	—
327	C₂⁴×D₄	C₂⁴	1	8	yes	—
328	C₂⁴×D₄	C₂⁴	1	8	yes	—
329	C₂⁴×D₄	C₂⁴	1	8	yes	—
330	C₂⁴×D₄	C₂⁴	1	8	yes	—
331	C₂⁴×D₄	C₂⁴	1	8	yes	—
332	C₂⁴×D₄	C₂⁴	1	8	yes	—
333	C₂⁴×D₄	C₂⁴	1	4	yes	—
334	C₂⁴×D₄	C₂⁴	1	8	yes	—
335	C₂⁴×D₄	C₂⁴	1	8	yes	—
336	C₂⁴×D₄	C₂⁴	1	8	yes	—
337	C₂⁴×D₄	C₂⁴	1	8	yes	—
338	C₂⁴×D₄	C₂⁴	1	8	yes	—
339	C₂⁴×D₄	C₂⁴	1	8	yes	—
340	C₂⁴×D₄	C₂⁴	1	8	yes	—
341	C₂⁴×D₄	C₂⁴	1	4	yes	—
342	C₂⁴×D₄	C₂⁴	1	8	yes	—
343	C₂⁴×D₄	C₂⁴	1	4	yes	—
344	C₂⁴×D₄	C₂⁴	1	8	yes	—
345	C₂⁴×D₄	C₂⁴	1	4	yes	—
346	C₂⁵×C₄	C₂×D₄	1	16	yes	—
347	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
348	C₂⁵×C₄	C₂⁴	1	2	yes	—
349	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
350	C₂⁵×C₄	C₂⁴	1	2	yes	—
351	C₂⁵×C₄	C₂⁴	1	2	yes	—
352	C₂⁵×C₄	C₂⁴	1	2	yes	—
353	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
354	C₂⁵×C₄	C₂⁴	1	2	yes	—
355	C₂⁵×C₄	C₂⁴	1	2	yes	—
356	C₂⁵×C₄	C₂⁴	1	2	yes	—
357	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
358	C₂⁵×C₄	C₂⁴	1	8	yes	—
359	C₂⁵×C₄	C₂⁴	1	2	yes	—
360	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
361	C₂²×#120	C₂×D₄	1	64	yes	complemented
362	C₂³×C₄⋊C₄	C₂×D₄	1	16	yes	complemented
363	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
364	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
365	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
366	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
367	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
368	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
369	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
370	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
371	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
372	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
373	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
374	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
375	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
376	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
377	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
378	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
379	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
380	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
381	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
382	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
383	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
384	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
385	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
386	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
387	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
388	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
389	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
390	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
391	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
393	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
394	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
395	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
396	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
397	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
398	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
399	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
401	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
402	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
403	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
404	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
405	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
406	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
407	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
408	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
409	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
410	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
411	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
412	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
413	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
414	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
415	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
416	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
417	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
418	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
419	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
420	C₂³×C₄²	C₂×D₄	1	16	yes	complemented
421	C₂³×C₄²	C₂⁴	1	4	yes	—
422	C₂³×C₄²	C₂⁴	1	8	yes	—
423	C₂³×C₄²	C₂⁴	1	8	yes	—
424	C₂×#392	C₂×D₄	1	64	yes	complemented
425	C₂×#392	C₂×D₄	1	128	yes	complemented
426	C₂×#390	C₂×D₄	1	128	yes	complemented
427	C₂×#386	C₂×D₄	1	128	yes	complemented
428	C₂²×#95	C₂×D₄	1	16	yes	—
429	C₂²×#95	C₂×D₄	1	8	yes	—
430	C₂²×#95	C₂×D₄	1	16	yes	—
431	C₂²×#95	C₂×D₄	1	16	yes	complemented
432	C₂²×#95	C₂×D₄	1	16	yes	complemented
433	C₂²×#95	C₂×D₄	1	16	yes	complemented
434	C₂²×#95	C₂⁴	1	8	yes	—
435	C₂²×#95	C₂⁴	1	8	yes	—
436	C₂²×#95	C₂⁴	1	4	yes	—
437	C₂²×#95	C₂⁴	1	8	yes	—
438	C₂²×#95	C₂⁴	1	4	yes	—
439	C₂²×#95	C₂⁴	1	8	yes	—
440	C₂²×#95	C₂⁴	1	8	yes	—
441	C₂²×#95	C₂⁴	1	4	yes	—
442	C₂²×#95	C₂⁴	1	8	yes	—
443	C₂²×#95	C₂⁴	1	8	yes	—
444	C₂²×#95	C₂⁴	1	8	yes	—
445	C₂²×#95	C₂⁴	1	8	yes	—
446	C₂²×#95	C₂⁴	1	8	yes	—
447	C₂²×#95	C₂⁴	1	4	yes	—
448	C₂²×#95	C₂⁴	1	8	yes	—
449	C₂²×#95	C₂⁴	1	8	yes	—
450	C₂²×#95	C₂⁴	1	8	yes	—
451	C₂²×#95	C₂⁴	1	8	yes	—
452	C₂²×#95	C₂⁴	1	8	yes	—
453	C₂²×#95	C₂⁴	1	8	yes	—
454	C₂²×#95	C₂⁴	1	8	yes	—
455	C₂²×#95	C₂⁴	1	4	yes	—
456	#1438	C₂×D₄	1	128	yes	complemented
457	C₂⁶	C₂²×D₄	1	8	yes	—
458	C₂⁶	C₂²×D₄	1	4	yes	—
459	C₂⁶	C₂²×D₄	1	8	yes	—
460	C₂⁶	C₂²×D₄	1	8	yes	—
461	C₂⁶	C₂²×D₄	1	8	yes	—
462	C₂⁶	C₂²×D₄	1	4	yes	—
463	C₂⁶	C₂²×D₄	1	8	yes	—
464	C₂⁶	C₂²×D₄	1	4	yes	—
465	C₂⁶	C₂²×D₄	1	8	yes	—
466	C₂⁶	C₂²×D₄	1	8	yes	—
467	C₂⁶	C₂²×D₄	1	8	yes	—
468	C₂⁶	C₂²×D₄	1	8	yes	—
469	C₂⁶	C₂²×D₄	1	8	yes	—
470	C₂⁶	C₂²×D₄	1	8	yes	—
471	C₂⁶	C₂²×D₄	1	16	yes	—
472	C₂⁶	H(5,𝔽₂)	1	8	yes	—
473	C₂⁶	H(5,𝔽₂)	1	4	yes	—
474	C₂⁶	H(5,𝔽₂)	1	8	yes	—
475	C₂⁶	H(5,𝔽₂)	1	8	yes	—
476	C₂⁶	C₂⁵	1	4	yes	—
477	C₂⁶	C₂⁵	1	2	yes	—
478	C₂⁶	C₂⁵	1	4	yes	—
479	C₂⁶	C₂⁵	1	4	yes	—
480	C₂⁶	C₂⁵	1	2	yes	—
481	C₂⁶	C₂⁵	1	4	yes	—
482	C₂⁶	C₂⁵	1	1	yes	characteristic
483	C₂³×D₄	#127	1	128	yes	complemented
484	C₂³×D₄	C₂²×D₄	1	32	yes	—
485	C₂³×D₄	C₂²×D₄	1	32	yes	—
486	C₂³×D₄	C₂²×D₄	1	16	yes	—
487	C₂³×D₄	C₂²×D₄	1	32	yes	—
488	C₂³×D₄	C₂²×D₄	1	32	yes	—
489	C₂³×D₄	C₂²×D₄	1	32	yes	—
490	C₂³×D₄	C₂²×D₄	1	32	yes	—
491	C₂³×D₄	C₂²×D₄	1	32	yes	—
492	C₂³×D₄	C₂²×D₄	1	16	yes	—
493	C₂³×D₄	C₂²×D₄	1	32	yes	complemented
494	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
495	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
496	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
497	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
498	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
499	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
500	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
501	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
502	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
503	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
504	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
505	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
506	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
507	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
508	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
509	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
510	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
511	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
512	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
513	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
514	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
515	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
516	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
517	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
518	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
519	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
520	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
521	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
522	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
523	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
524	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
525	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
526	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
527	C₂⁴×C₄	C₂⁵	1	2	yes	—
528	C₂⁴×C₄	C₂⁵	1	4	yes	—
529	C₂⁴×C₄	C₂⁵	1	2	yes	—
530	C₂⁴×C₄	C₂⁵	1	4	yes	—
531	C₂⁴×C₄	C₂⁵	1	4	yes	—
532	C₂⁴×C₄	C₂⁵	1	4	yes	—
533	C₂⁴×C₄	C₂⁵	1	2	yes	—
534	C₂⁴×C₄	C₂⁵	1	4	yes	—
535	C₂⁴×C₄	C₂⁵	1	4	yes	—
536	C₂⁴×C₄	C₂⁵	1	4	yes	—
537	C₂⁴×C₄	C₂⁵	1	2	yes	—
538	C₂⁴×C₄	C₂⁵	1	4	yes	—
539	C₂⁴×C₄	C₂⁵	1	2	yes	—
540	C₂²×C₄⋊C₄	C₂²×D₄	1	32	yes	complemented
541	C₂²×C₂²⋊C₄	#120	1	128	yes	complemented
542	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
543	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
544	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
545	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
546	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
547	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
548	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
549	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
550	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
551	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
552	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
553	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
554	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
555	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
556	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
557	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
558	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
559	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
560	C₂²×C₄²	C₂²×D₄	1	32	yes	complemented
561	C₂×#95	#120	1	64	yes	complemented
562	C₂×#95	C₂²×D₄	1	32	yes	—
563	C₂×#95	C₂²×D₄	1	32	yes	—
564	C₂×#95	C₂²×D₄	1	16	yes	—
565	C₂×#95	C₂²×D₄	1	32	yes	complemented
566	C₂×#95	C₂²×D₄	1	32	yes	complemented
567	C₂×#95	C₂²×D₄	1	32	yes	complemented
568	C₂⁵	C₂×#120	1	32	yes	—
569	C₂⁵	C₂×#127	1	32	yes	—
570	C₂⁵	C₂×#127	1	32	yes	—
571	C₂⁵	#535	1	32	yes	—
572	C₂⁵	D₄²	1	32	yes	—
573	C₂⁵	D₄²	1	16	yes	—
574	C₂⁵	D₄²	1	32	yes	—
575	C₂⁵	D₄²	1	32	yes	—
576	C₂⁵	D₄²	1	32	yes	—
577	C₂⁵	D₄²	1	32	yes	—
578	C₂⁵	C₂³×D₄	1	4	yes	—
579	C₂⁵	C₂³×D₄	1	8	yes	—
580	C₂⁵	C₂³×D₄	1	8	yes	—
581	C₂⁵	C₂³×D₄	1	8	yes	—
582	C₂⁵	C₂³×D₄	1	8	yes	—
583	C₂⁵	C₂³×D₄	1	4	yes	—
584	C₂⁵	C₂³×D₄	1	4	yes	—
585	C₂⁵	C₂³×D₄	1	8	yes	—
586	C₂⁵	C₂³×D₄	1	8	yes	—
587	C₂⁵	C₂³×D₄	1	8	yes	—
588	C₂⁵	C₂³×D₄	1	8	yes	—
589	C₂⁵	C₂³×D₄	1	8	yes	—
590	C₂⁵	C₂³×D₄	1	8	yes	—
591	C₂⁵	C₂³×D₄	1	8	yes	—
592	C₂⁵	C₂³×D₄	1	2	yes	—
593	C₂⁵	C₂³×D₄	1	4	yes	—
594	C₂⁵	C₂³×D₄	1	4	yes	—
595	C₂⁵	C₂³×D₄	1	2	yes	—
596	C₂⁵	C₂³×D₄	1	4	yes	—
597	C₂⁵	C₂³×D₄	1	4	yes	—
598	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
599	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
600	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
601	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
602	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
603	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
604	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
605	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
606	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
607	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
608	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
609	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
610	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
611	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
612	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
613	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
614	C₂⁵	#585	1	2	yes	—
615	C₂⁵	C₂⁶	1	1	yes	characteristic
616	C₂²×D₄	C₂×#127	1	128	yes	complemented
617	C₂³×C₄	C₂×#120	1	16	yes	—
618	C₂³×C₄	C₂×#120	1	32	yes	—
619	C₂³×C₄	C₂×#120	1	32	yes	—
620	C₂³×C₄	C₂×#120	1	32	yes	—
621	C₂³×C₄	C₂×#127	1	32	yes	—
622	C₂³×C₄	#534	1	16	yes	—
623	C₂³×C₄	#535	1	32	yes	—
624	C₂³×C₄	D₄²	1	16	yes	—
625	C₂³×C₄	D₄²	1	32	yes	—
626	C₂³×C₄	D₄²	1	32	yes	—
627	C₂³×C₄	D₄²	1	32	yes	—
628	C₂³×C₄	D₄²	1	16	yes	—
629	C₂³×C₄	D₄²	1	32	yes	—
630	C₂³×C₄	D₄²	1	16	yes	—
631	C₂³×C₄	D₄²	1	32	yes	—
632	C₂³×C₄	D₄²	1	32	yes	—
633	C₂³×C₄	D₄²	1	32	yes	—
634	C₂³×C₄	D₄²	1	32	yes	—
635	C₂³×C₄	C₂³×D₄	1	8	yes	—
636	C₂³×C₄	C₂³×D₄	1	8	yes	—
637	C₂³×C₄	C₂³×D₄	1	8	yes	—
638	C₂³×C₄	C₂³×D₄	1	4	yes	—
639	C₂³×C₄	C₂³×D₄	1	4	yes	—
640	C₂³×C₄	C₂³×D₄	1	8	yes	—
641	C₂³×C₄	C₂³×D₄	1	8	yes	—
642	C₂³×C₄	C₂³×D₄	1	8	yes	—
643	C₂³×C₄	C₂³×D₄	1	8	yes	—
644	C₂³×C₄	C₂³×D₄	1	8	yes	—
645	C₂³×C₄	C₂³×D₄	1	8	yes	—
646	C₂³×C₄	C₂³×D₄	1	8	yes	—
647	C₂³×C₄	C₂³×D₄	1	8	yes	—
648	C₂³×C₄	C₂³×D₄	1	8	yes	—
649	C₂³×C₄	C₂³×D₄	1	8	yes	—
650	C₂³×C₄	C₂³×D₄	1	8	yes	—
651	C₂³×C₄	C₂³×D₄	1	4	yes	—
652	C₂³×C₄	C₂³×D₄	1	8	yes	—
653	C₂³×C₄	C₂³×D₄	1	8	yes	—
654	C₂³×C₄	C₂³×D₄	1	8	yes	—
655	C₂³×C₄	C₂³×D₄	1	8	yes	—
656	C₂³×C₄	C₂³×D₄	1	8	yes	—
657	C₂³×C₄	C₂³×D₄	1	8	yes	—
658	C₂³×C₄	C₂³×D₄	1	8	yes	—
659	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
660	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
661	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
662	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
663	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
664	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
665	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
666	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
667	C₂×C₂²⋊C₄	C₂×#120	1	128	yes	complemented
668	#95	C₂×#120	1	64	yes	complemented
669	C₂⁴	#2433	1	128	yes	—
670	C₂⁴	C₂²×#120	1	16	yes	—
671	C₂⁴	C₂²×#120	1	8	yes	—
672	C₂⁴	C₂²×#120	1	4	yes	—
673	C₂⁴	C₂²×#127	1	16	yes	—
674	C₂⁴	C₂²×#127	1	16	yes	—
675	C₂⁴	C₂²×#127	1	8	yes	—
676	C₂⁴	C₂×#534	1	4	yes	—
677	C₂⁴	C₂×#535	1	16	yes	—
678	C₂⁴	C₂×#535	1	8	yes	—
679	C₂⁴	C₂×#535	1	8	yes	—
680	C₂⁴	C₂×D₄²	1	16	yes	—
681	C₂⁴	C₂×D₄²	1	8	yes	—
682	C₂⁴	C₂×D₄²	1	16	yes	—
683	C₂⁴	C₂×D₄²	1	16	yes	—
684	C₂⁴	C₂×D₄²	1	16	yes	—
685	C₂⁴	C₂×D₄²	1	16	yes	—
686	C₂⁴	C₂×D₄²	1	8	yes	—
687	C₂⁴	C₂×D₄²	1	8	yes	—
688	C₂⁴	C₂×D₄²	1	8	yes	—
689	C₂⁴	C₂×D₄²	1	8	yes	—
690	C₂⁴	C₂×D₄²	1	8	yes	—
691	C₂⁴	C₂×D₄²	1	4	yes	—
692	C₂⁴	C₂×D₄²	1	4	yes	—
693	C₂⁴	C₂×D₄²	1	8	yes	—
694	C₂⁴	C₂×D₄²	1	8	yes	—
695	C₂⁴	C₂×D₄²	1	8	yes	—
696	C₂⁴	C₂×D₄²	1	8	yes	—
697	C₂⁴	C₂×D₄²	1	4	yes	—
698	C₂⁴	C₂×D₄²	1	4	yes	—
699	C₂⁴	C₂×D₄²	1	8	yes	—
700	C₂⁴	C₂×D₄²	1	8	yes	—
701	C₂⁴	C₂×D₄²	1	8	yes	—
702	C₂⁴	C₂×D₄²	1	8	yes	—
703	C₂⁴	#3484	1	4	yes	—
704	C₂⁴	#3484	1	8	yes	—
705	C₂⁴	#3484	1	8	yes	—
706	C₂⁴	#3484	1	8	yes	—
707	C₂⁴	#3484	1	8	yes	—
708	C₂⁴	#3484	1	8	yes	—
709	C₂⁴	#3484	1	8	yes	—
710	C₂⁴	#3484	1	8	yes	—
711	C₂⁴	#3484	1	8	yes	—
712	C₂⁴	#3484	1	8	yes	—
713	C₂⁴	#3484	1	8	yes	—
714	C₂⁴	#3484	1	8	yes	—
715	C₂⁴	#3484	1	4	yes	—
716	C₂⁴	#3484	1	8	yes	—
717	C₂⁴	#3484	1	8	yes	—
718	C₂⁴	#3484	1	8	yes	—
719	C₂⁴	#3484	1	8	yes	—
720	C₂⁴	#3484	1	8	yes	—
721	C₂⁴	#3484	1	8	yes	—
722	C₂⁴	#3484	1	4	yes	—
723	C₂⁴	#3488	1	8	yes	—
724	C₂⁴	#3488	1	8	yes	—
725	C₂⁴	#3488	1	4	yes	—
726	C₂⁴	#3488	1	8	yes	—
727	C₂⁴	#3496	1	4	yes	—
728	C₂⁴	#3496	1	8	yes	—
729	C₂⁴	#3498	1	8	yes	—
730	C₂⁴	#3498	1	4	yes	—
731	C₂⁴	#3498	1	8	yes	—
732	C₂⁴	#3498	1	8	yes	—
733	C₂⁴	#3498	1	8	yes	—
734	C₂⁴	#3498	1	8	yes	—
735	C₂⁴	#3498	1	8	yes	—
736	C₂⁴	#3498	1	8	yes	—
737	C₂⁴	#3498	1	8	yes	—
738	C₂⁴	#3498	1	8	yes	—
739	C₂⁴	#3498	1	8	yes	—
740	C₂⁴	#3498	1	8	yes	—
741	C₂⁴	#3532	1	8	yes	—
742	C₂⁴	#3532	1	8	yes	—
743	C₂⁴	#3532	1	8	yes	—
744	C₂⁴	#3532	1	8	yes	—
745	C₂⁴	#3532	1	8	yes	—
746	C₂⁴	#3532	1	4	yes	—
747	C₂⁴	#3534	1	4	yes	—
748	C₂⁴	#3537	1	8	yes	—
749	C₂⁴	#3537	1	4	yes	—
750	C₂⁴	#3537	1	4	yes	—
751	C₂⁴	#3537	1	8	yes	—
752	C₂⁴	#3537	1	8	yes	—
753	C₂⁴	#3537	1	8	yes	—
754	C₂⁴	#3537	1	8	yes	—
755	C₂⁴	#3542	1	8	yes	—
756	C₂⁴	#3543	1	8	yes	—
757	C₂⁴	#3543	1	8	yes	—
758	C₂⁴	#3543	1	4	yes	—
759	C₂⁴	#3543	1	8	yes	—
760	C₂⁴	#3543	1	8	yes	—
761	C₂⁴	#3543	1	8	yes	—
762	C₂⁴	#3543	1	8	yes	—
763	C₂⁴	#3543	1	4	yes	—
764	C₂⁴	#3546	1	8	yes	—
765	C₂⁴	#3549	1	4	yes	—
766	C₂⁴	#3549	1	8	yes	—
767	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
768	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
769	C₂⁴	C₂⁴×D₄	1	2	yes	—
770	C₂⁴	C₂⁴×D₄	1	2	yes	—
771	C₂⁴	C₂⁴×D₄	1	2	yes	—
772	C₂⁴	C₂⁴×D₄	1	2	yes	—
773	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
774	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
775	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
776	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
777	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
778	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
779	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
780	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
781	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
782	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
783	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
784	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
785	C₂⁴	C₂×#585	1	1	yes	characteristic
786	C₂²×C₄	#2403	1	64	yes	complemented
787	C₂²×C₄	#2433	1	128	yes	complemented
788	C₂²×C₄	C₂²×#120	1	8	yes	—
789	C₂²×C₄	C₂²×#120	1	16	yes	—
790	C₂²×C₄	C₂²×#120	1	16	yes	—
791	C₂²×C₄	C₂²×#120	1	16	yes	—
792	C₂²×C₄	C₂²×#127	1	16	yes	—
793	C₂²×C₄	C₂×#534	1	8	yes	—
794	C₂²×C₄	C₂×#535	1	16	yes	—
795	C₂²×C₄	C₂×D₄²	1	8	yes	—
796	C₂²×C₄	C₂×D₄²	1	16	yes	—
797	C₂²×C₄	C₂×D₄²	1	16	yes	—
798	C₂²×C₄	C₂×D₄²	1	16	yes	—
799	C₂²×C₄	C₂×D₄²	1	16	yes	—
800	C₂²×C₄	C₂×D₄²	1	8	yes	—
801	C₂²×C₄	C₂×D₄²	1	8	yes	—
802	C₂²×C₄	C₂×D₄²	1	16	yes	—
803	C₂²×C₄	C₂×D₄²	1	16	yes	—
804	C₂²×C₄	C₂×D₄²	1	16	yes	—
805	C₂²×C₄	C₂×D₄²	1	16	yes	—
806	C₂³	C₂×#2403	1	8	yes	—
807	C₂³	C₂×#2433	1	32	yes	—
808	C₂³	C₂×#2433	1	16	yes	—
809	C₂³	C₂×#2433	1	16	yes	—
810	C₂³	#35390	1	16	yes	—
811	C₂³	#35527	1	8	yes	—
812	C₂³	#35527	1	16	yes	—
813	C₂³	#35680	1	16	yes	—
814	C₂³	#35921	1	16	yes	—
815	C₂³	#36091	1	8	yes	—
816	C₂³	D₄×#120	1	8	yes	—
817	C₂³	D₄×#120	1	16	yes	—
818	C₂³	D₄×#120	1	16	yes	—
819	C₂³	D₄×#120	1	16	yes	—
820	C₂³	D₄×#120	1	16	yes	—
821	C₂³	D₄×#127	1	16	yes	—
822	C₂³	D₄×#127	1	16	yes	—
823	C₂³	D₄×#127	1	16	yes	—
824	C₂³	#37645	1	16	yes	—
825	C₂³	#37645	1	16	yes	—
826	C₂³	#37645	1	16	yes	—
827	C₂³	#37645	1	16	yes	—
828	C₂³	#37650	1	16	yes	—
829	C₂³	#37672	1	8	yes	—
830	C₂³	#37674	1	16	yes	—
831	C₂³	#37674	1	16	yes	—
832	C₂³	#39336	1	16	yes	—
833	C₂³	#39336	1	16	yes	—
834	C₂³	#39342	1	16	yes	—
835	C₂³	#39361	1	16	yes	—
836	C₂³	#39361	1	16	yes	—
837	C₂³	#40490	1	16	yes	—
838	C₂³	#40584	1	8	yes	—
839	C₂³	#42430	1	16	yes	—
840	C₂³	#42996	1	8	yes	—
841	C₂³	#43001	1	8	yes	—
842	C₂³	#43001	1	16	yes	—
843	C₂³	#43001	1	16	yes	—
844	C₂³	#43001	1	16	yes	—
845	C₂³	#43001	1	16	yes	—
846	C₂³	#43001	1	16	yes	—
847	C₂³	#43098	1	8	yes	—
848	C₂³	#43886	1	16	yes	—
849	C₂³	#43886	1	16	yes	—
850	C₂³	#44870	1	16	yes	—
851	C₂³	#44870	1	8	yes	—
852	C₂³	#44870	1	16	yes	—
853	C₂³	#44870	1	16	yes	—
854	C₂³	#44870	1	16	yes	—
855	C₂³	#44927	1	16	yes	—
856	C₂³	#44927	1	16	yes	—
857	C₂³	#46355	1	8	yes	—
858	C₂³	#46355	1	16	yes	—
859	C₂³	#46355	1	16	yes	—
860	C₂³	#46414	1	8	yes	—
861	C₂³	#46419	1	16	yes	—
862	C₂³	#47689	1	16	yes	—
863	C₂³	#47831	1	8	yes	—
864	C₂³	#47942	1	16	yes	—
865	C₂³	#47942	1	16	yes	—
866	C₂³	#47942	1	16	yes	—
867	C₂³	#47952	1	16	yes	—
868	C₂³	#49545	1	16	yes	—
869	C₂³	#49545	1	8	yes	—
870	C₂³	#50646	1	16	yes	—
871	C₂³	#50646	1	16	yes	—
872	C₂³	#51899	1	16	yes	—
873	C₂³	#51902	1	16	yes	—
874	C₂³	#53425	1	16	yes	—
875	C₂³	#54942	1	16	yes	—
876	C₂³	#57213	1	8	yes	—
877	C₂³	#58990	1	16	yes	—
878	C₂³	#58990	1	16	yes	—
879	C₂³	#58990	1	16	yes	—
880	C₂³	#58990	1	8	yes	—
881	C₂³	#58990	1	16	yes	—
882	C₂³	#58990	1	16	yes	—
883	C₂³	#58997	1	8	yes	—
884	C₂³	#58997	1	16	yes	—
885	C₂³	#58997	1	16	yes	—
886	C₂³	#59126	1	16	yes	—
887	C₂³	#59126	1	16	yes	—
888	C₂³	#59126	1	16	yes	—
889	C₂³	#59126	1	16	yes	—
890	C₂³	#59126	1	8	yes	—
891	C₂³	#59126	1	16	yes	—
892	C₂³	#59126	1	8	yes	—
893	C₂³	#59126	1	16	yes	—
894	C₂³	C₂³×#120	1	2	yes	—
895	C₂³	C₂³×#120	1	1	yes	characteristic
896	C₂³	C₂³×#127	1	2	yes	—
897	C₂³	C₂²×#534	1	1	yes	characteristic
898	C₂³	C₂²×#535	1	2	yes	—
899	C₂³	C₂²×#535	1	2	yes	—
900	C₂³	C₂²×D₄²	1	1	yes	characteristic
901	C₂³	C₂²×D₄²	1	2	yes	—
902	C₂³	C₂²×D₄²	1	2	yes	—
903	C₂³	C₂²×D₄²	1	2	yes	—
904	C₂³	C₂²×D₄²	1	2	yes	—
905	C₂³	C₂²×D₄²	1	2	yes	—
906	C₂³	C₂²×D₄²	1	2	yes	—
907	C₂³	C₂²×D₄²	1	2	yes	—
908	C₂³	C₂²×D₄²	1	2	yes	—
909	C₂³	C₂²×D₄²	1	1	yes	characteristic
910	C₂³	C₂²×D₄²	1	1	yes	characteristic
911	C₂³	C₂²×D₄²	1	2	yes	—
912	C₂³	C₂²×D₄²	1	2	yes	—
913	C₂³	C₂²×D₄²	1	2	yes	—
914	C₂³	C₂²×D₄²	1	2	yes	—
915	C₂³	C₂²×D₄²	1	2	yes	—
916	C₂³	C₂²×D₄²	1	1	yes	characteristic
917	C₂³	C₂×#3532	1	2	yes	—
918	C₂³	C₂×#3532	1	2	yes	—
919	C₂³	C₂×#3532	1	2	yes	—
920	C₂³	C₂×#3532	1	2	yes	—
921	C₂³	C₂×#3532	1	2	yes	—
922	C₂³	C₂×#3532	1	1	yes	characteristic
923	C₂³	C₂×#3542	1	2	yes	—
924	C₂³	C₂×#3534	1	1	yes	characteristic
925	C₂³	C₂×#3537	1	2	yes	—
926	C₂³	C₂×#3537	1	2	yes	—
927	C₂³	C₂×#3537	1	2	yes	—
928	C₂³	C₂×#3537	1	2	yes	—
929	C₂³	C₂×#3537	1	2	yes	—
930	C₂³	C₂×#3537	1	1	yes	characteristic
931	C₂³	C₂×#3537	1	1	yes	characteristic
932	C₂³	C₂×#3543	1	2	yes	—
933	C₂³	C₂×#3543	1	2	yes	—
934	C₂³	C₂×#3543	1	2	yes	—
935	C₂³	C₂×#3543	1	2	yes	—
936	C₂³	C₂×#3543	1	2	yes	—
937	C₂³	C₂×#3543	1	2	yes	—
938	C₂³	C₂×#3543	1	1	yes	characteristic
939	C₂³	C₂×#3543	1	1	yes	characteristic
940	C₂³	C₂×#3546	1	2	yes	—
941	C₂³	C₂×#3549	1	1	yes	characteristic
942	C₂³	C₂×#3549	1	2	yes	—
943	C₂³	C₂×#3484	1	1	yes	characteristic
944	C₂³	C₂×#3484	1	1	yes	characteristic
945	C₂³	C₂×#3484	1	2	yes	—
946	C₂³	C₂×#3484	1	2	yes	—
947	C₂³	C₂×#3484	1	2	yes	—
948	C₂³	C₂×#3484	1	2	yes	—
949	C₂³	C₂×#3484	1	2	yes	—
950	C₂³	C₂×#3484	1	1	yes	characteristic
951	C₂³	C₂×#3484	1	2	yes	—
952	C₂³	C₂×#3484	1	2	yes	—
953	C₂³	C₂×#3484	1	2	yes	—
954	C₂³	C₂×#3484	1	2	yes	—
955	C₂³	C₂×#3484	1	2	yes	—
956	C₂³	C₂×#3484	1	2	yes	—
957	C₂³	C₂×#3484	1	2	yes	—
958	C₂³	C₂×#3484	1	2	yes	—
959	C₂³	C₂×#3484	1	2	yes	—
960	C₂³	C₂×#3484	1	2	yes	—
961	C₂³	C₂×#3484	1	2	yes	—
962	C₂³	C₂×#3484	1	2	yes	—
963	C₂³	C₂×#3496	1	1	yes	characteristic
964	C₂³	C₂×#3496	1	2	yes	—
965	C₂³	C₂×#3488	1	2	yes	—
966	C₂³	C₂×#3488	1	2	yes	—
967	C₂³	C₂×#3488	1	1	yes	characteristic
968	C₂³	C₂×#3488	1	2	yes	—
969	C₂³	C₂×#3498	1	2	yes	—
970	C₂³	C₂×#3498	1	1	yes	characteristic
971	C₂³	C₂×#3498	1	2	yes	—
972	C₂³	C₂×#3498	1	2	yes	—
973	C₂³	C₂×#3498	1	2	yes	—
974	C₂³	C₂×#3498	1	2	yes	—
975	C₂³	C₂×#3498	1	2	yes	—
976	C₂³	C₂×#3498	1	2	yes	—
977	C₂³	C₂×#3498	1	2	yes	—
978	C₂³	C₂×#3498	1	2	yes	—
979	C₂³	C₂×#3498	1	2	yes	—
980	C₂³	C₂×#3498	1	2	yes	—
981	C₂×C₄	C₂×#2403	1	16	yes	complemented
982	C₂×C₄	C₂×#2433	1	32	yes	complemented
983	C₂²	#648360	1	32	yes	—
984	C₂²	#649038	1	32	yes	—
985	C₂²	#674656	1	16	yes	—
986	C₂²	#772778	1	16	yes	—
987	C₂²	#773780	1	32	yes	—
988	C₂²	#773787	1	32	yes	—
989	C₂²	#1082715	1	32	yes	—
990	C₂²	#1084733	1	16	yes	—
991	C₂²	#1192583	1	32	yes	—
992	C₂²	#1418363	1	16	yes	—
993	C₂²	#1418363	1	32	yes	—
994	C₂²	#1494110	1	32	yes	—
995	C₂²	#2076591	1	32	yes	—
996	C₂²	#2078623	1	32	yes	—
997	C₂²	#2306470	1	16	yes	—
998	C₂²	#3858095	1	32	yes	—
999	C₂²	#3858929	1	32	yes	—
1000	C₂²	#3862114	1	16	yes	—
1001	C₂²	#4122222	1	16	yes	—
1002	C₂²	C₂²×#2403	1	1	yes	characteristic
1003	C₂²	C₂²×#2433	1	2	yes	—
1004	C₂²	C₂²×#2433	1	2	yes	—
1005	C₂²	C₂×#35390	1	2	yes	—
1006	C₂²	C₂×#35527	1	2	yes	—
1007	C₂²	C₂×#35527	1	1	yes	characteristic
1008	C₂²	C₂×#35680	1	2	yes	—
1009	C₂²	C₂×#35921	1	2	yes	—
1010	C₂²	C₂×#36091	1	1	yes	characteristic
1011	C₂²	C₂×D₄×#120	1	2	yes	—
1012	C₂²	C₂×D₄×#120	1	2	yes	—
1013	C₂²	C₂×D₄×#120	1	2	yes	—
1014	C₂²	C₂×D₄×#120	1	1	yes	characteristic
1015	C₂²	C₂×D₄×#120	1	2	yes	—
1016	C₂²	C₂×D₄×#127	1	2	yes	—
1017	C₂²	C₂×D₄×#127	1	2	yes	—
1018	C₂²	C₂×D₄×#127	1	2	yes	—
1019	C₂²	C₂×#37672	1	1	yes	characteristic
1020	C₂²	C₂×#37645	1	2	yes	—
1021	C₂²	C₂×#37645	1	2	yes	—
1022	C₂²	C₂×#37645	1	2	yes	—
1023	C₂²	C₂×#37645	1	2	yes	—
1024	C₂²	C₂×#37650	1	2	yes	—
1025	C₂²	C₂×#37674	1	2	yes	—
1026	C₂²	C₂×#37674	1	2	yes	—
1027	C₂²	C₂×#39336	1	2	yes	—
1028	C₂²	C₂×#39336	1	2	yes	—
1029	C₂²	C₂×#39342	1	2	yes	—
1030	C₂²	C₂×#39361	1	2	yes	—
1031	C₂²	C₂×#39361	1	2	yes	—
1032	C₂²	C₂×#40584	1	1	yes	characteristic
1033	C₂²	C₂×#40490	1	2	yes	—
1034	C₂²	C₂×#42430	1	2	yes	—
1035	C₂²	C₂×#58990	1	2	yes	—
1036	C₂²	C₂×#58990	1	2	yes	—
1037	C₂²	C₂×#58990	1	1	yes	characteristic
1038	C₂²	C₂×#58990	1	2	yes	—
1039	C₂²	C₂×#58990	1	2	yes	—
1040	C₂²	C₂×#58990	1	2	yes	—
1041	C₂²	C₂×#58997	1	2	yes	—
1042	C₂²	C₂×#58997	1	2	yes	—
1043	C₂²	C₂×#58997	1	1	yes	characteristic
1044	C₂²	C₂×#59126	1	1	yes	characteristic
1045	C₂²	C₂×#59126	1	2	yes	—
1046	C₂²	C₂×#59126	1	2	yes	—
1047	C₂²	C₂×#59126	1	2	yes	—
1048	C₂²	C₂×#59126	1	2	yes	—
1049	C₂²	C₂×#59126	1	2	yes	—
1050	C₂²	C₂×#59126	1	1	yes	characteristic
1051	C₂²	C₂×#59126	1	2	yes	—
1052	C₂²	C₂×#42996	1	1	yes	characteristic
1053	C₂²	C₂×#43001	1	2	yes	—
1054	C₂²	C₂×#43001	1	2	yes	—
1055	C₂²	C₂×#43001	1	2	yes	—
1056	C₂²	C₂×#43001	1	1	yes	characteristic
1057	C₂²	C₂×#43001	1	2	yes	—
1058	C₂²	C₂×#43001	1	2	yes	—
1059	C₂²	C₂×#43098	1	1	yes	characteristic
1060	C₂²	C₂×#43886	1	2	yes	—
1061	C₂²	C₂×#43886	1	2	yes	—
1062	C₂²	C₂×#44927	1	2	yes	—
1063	C₂²	C₂×#44927	1	2	yes	—
1064	C₂²	C₂×#44870	1	2	yes	—
1065	C₂²	C₂×#44870	1	1	yes	characteristic
1066	C₂²	C₂×#44870	1	2	yes	—
1067	C₂²	C₂×#44870	1	2	yes	—
1068	C₂²	C₂×#44870	1	2	yes	—
1069	C₂²	C₂×#46414	1	1	yes	characteristic
1070	C₂²	C₂×#46355	1	1	yes	characteristic
1071	C₂²	C₂×#46355	1	2	yes	—
1072	C₂²	C₂×#46355	1	2	yes	—
1073	C₂²	C₂×#46419	1	2	yes	—
1074	C₂²	C₂×#47689	1	2	yes	—
1075	C₂²	C₂×#47831	1	1	yes	characteristic
1076	C₂²	C₂×#47942	1	2	yes	—
1077	C₂²	C₂×#47942	1	2	yes	—
1078	C₂²	C₂×#47942	1	2	yes	—
1079	C₂²	C₂×#47952	1	2	yes	—
1080	C₂²	C₂×#49545	1	1	yes	characteristic
1081	C₂²	C₂×#49545	1	2	yes	—
1082	C₂²	C₂×#50646	1	2	yes	—
1083	C₂²	C₂×#50646	1	2	yes	—
1084	C₂²	C₂×#51899	1	2	yes	—
1085	C₂²	C₂×#51902	1	2	yes	—
1086	C₂²	C₂×#54942	1	2	yes	—
1087	C₂²	C₂×#57213	1	1	yes	characteristic
1088	C₂²	C₂×#53425	1	2	yes	—
1089	C₂	C₂×#772778	1	1	yes	characteristic
1090	C₂	C₂×#648360	1	2	yes	—
1091	C₂	C₂×#773780	1	2	yes	—
1092	C₂	C₂×#649038	1	2	yes	—
1093	C₂	#72278012	1	32	yes	direct product factor
1094	C₂	C₂×#1418363	1	2	yes	—
1095	C₂	C₂×#1418363	1	1	yes	characteristic
1096	C₂	C₂×#4122222	1	1	yes	characteristic
1097	C₂	C₂×#1082715	1	2	yes	—
1098	C₂	C₂×#674656	1	1	yes	characteristic
1099	C₂	C₂×#1494110	1	2	yes	—
1100	C₂	C₂×#2078623	1	2	yes	—
1101	C₂	C₂×#1192583	1	2	yes	—
1102	C₂	C₂×#773787	1	2	yes	—
1103	C₂	C₂×#3858929	1	2	yes	—
1104	C₂	C₂×#2076591	1	2	yes	—
1105	C₂	C₂×#1084733	1	1	yes	characteristic
1106	C₂	C₂×#3862114	1	1	yes	characteristic
1107	C₂	C₂×#2306470	1	1	yes	characteristic
1108	C₂	C₂×#3858095	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁶	C₂⁵
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₁
UCS	C₁ ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#153797	C₂	semidirect
2. C₂×#154635	C₂	semidirect
3. C₂×#158317	C₂	semidirect
4. C₂×#158317	C₂	semidirect
5. C₂×#155585	C₂	semidirect
6. C₂²×#15142	C₂	semidirect
7. C₂²×#15310	C₂	semidirect
8. #72278012	C₂	direct (N × H)
9. C₂²×#15258	C₂	semidirect
10. C₂²×#15258	C₂	semidirect
11. C₂²×#15267	C₂	semidirect
12. C₂³×#2433	C₂	semidirect
13. C₂×#154671	C₂	semidirect
14. C₂×#156684	C₂	semidirect
15. C₂×#156684	C₂	semidirect
16. C₂×#156706	C₂	semidirect
17. C₂×#158314	C₂	semidirect
18. C₂²×#14715	C₂	semidirect
19. C₂×#158995	C₂	semidirect
20. C₂³×#2403	C₂	semidirect
23. C₂⁴×#127	C₂²	semidirect
24. C₂⁴×#127	C₂²	semidirect
25. C₂⁴×#121	C₂²	semidirect
30. C₂⁴×#120	C₂²	semidirect
31. C₂⁴×#120	C₂²	semidirect
32. C₂⁴×#120	C₂²	semidirect
33. C₂²×#2433	C₂²	semidirect
34. C₂²×#2403	C₂²	semidirect
35. C₂³×#394	C₂²	semidirect
36. C₂³×#394	C₂²	semidirect
44. C₂³×#392	C₂²	semidirect
45. C₂³×#392	C₂²	semidirect
46. C₂³×#392	C₂²	semidirect
47. C₂³×#392	C₂²	semidirect
48. C₂³×#392	C₂²	semidirect
49. C₂³×#392	C₂²	semidirect
50. C₂³×#392	C₂²	semidirect
51. C₂³×#392	C₂²	semidirect
52. C₂³×#392	C₂²	semidirect
53. C₂³×#392	C₂²	semidirect
54. C₂³×#392	C₂²	semidirect
55. C₂³×#392	C₂²	semidirect
56. C₂³×#392	C₂²	semidirect
57. C₂³×#392	C₂²	semidirect
58. C₂³×#392	C₂²	semidirect
59. C₂³×#392	C₂²	semidirect
61. C₂³×#390	C₂²	semidirect
62. C₂³×#390	C₂²	semidirect
63. C₂³×#390	C₂²	semidirect
66. C₂³×#386	C₂²	semidirect
69. C₂³×#379	C₂²	semidirect
70. C₂³×C₄×C₂²⋊C₄	C₂²	semidirect
71. C₂×#15310	C₂²	semidirect
72. C₂×#15267	C₂²	semidirect
73. C₂×#15258	C₂²	semidirect
74. C₂×#15258	C₂²	semidirect
75. C₂×#15142	C₂²	semidirect
76. C₂×#14715	C₂²	semidirect
77. C₂²×#1439	C₂²	semidirect
78. C₂²×#1439	C₂²	semidirect
81. C₂²×#1438	C₂²	semidirect
82. C₂²×#1438	C₂²	semidirect
83. C₂²×#1438	C₂²	semidirect
84. C₂²×#1438	C₂²	semidirect
85. C₂²×#1438	C₂²	semidirect
86. C₂²×#1438	C₂²	semidirect
87. C₂²×#1438	C₂²	semidirect
88. C₂²×#1438	C₂²	semidirect
89. C₂²×#1438	C₂²	semidirect
90. C₂²×#1438	C₂²	semidirect
91. C₂²×#1438	C₂²	semidirect
92. C₂²×#1438	C₂²	semidirect
93. C₂²×#1438	C₂²	semidirect
94. C₂²×#1438	C₂²	semidirect
95. C₂²×#1438	C₂²	semidirect
96. C₂²×#1437	C₂²	semidirect
97. C₂²×#1437	C₂²	semidirect
98. C₂²×#1437	C₂²	semidirect
99. C₂²×#1437	C₂²	semidirect
100. C₂²×#1437	C₂²	semidirect
101. C₂²×#1437	C₂²	semidirect
102. C₂²×#1436	C₂²	semidirect
103. C₂²×C₂²⋊#95	C₂²	semidirect
104. C₂²×C₄×#95	C₂²	semidirect
105. #158995	C₂²	semidirect
106. #158317	C₂²	semidirect
107. #158317	C₂²	semidirect
108. #158314	C₂²	semidirect
109. #156706	C₂²	semidirect
110. #156684	C₂²	semidirect
111. #156684	C₂²	semidirect
112. #155585	C₂²	semidirect
113. #154671	C₂²	semidirect
114. #154635	C₂²	semidirect
115. #153797	C₂²	semidirect
116. C₂×#7557	C₂²	semidirect
117. C₂×#7557	C₂²	semidirect
118. C₂×#7555	C₂²	semidirect
119. C₂×#7555	C₂²	semidirect
120. C₂×#7555	C₂²	semidirect
121. C₂×#7555	C₂²	semidirect
122. C₂×#7555	C₂²	semidirect
123. C₂×#7555	C₂²	semidirect
124. C₂×#7555	C₂²	semidirect
125. C₂×#7555	C₂²	semidirect
126. C₂×#7554	C₂²	semidirect
152. C₂³×#127	C₂³	semidirect
153. C₂³×#127	C₂³	semidirect
154. C₂³×#121	C₂³	semidirect
155. C₂³×#120	D₄	semidirect
160. C₂³×#120	C₂³	semidirect
161. C₂³×#120	C₂³	semidirect
162. C₂³×#120	C₂³	semidirect
205. C₂²×#394	C₂³	semidirect
206. C₂²×#394	C₂³	semidirect
207. C₂²×#392	D₄	semidirect
208. C₂²×#392	D₄	semidirect
216. C₂²×#392	C₂³	semidirect
217. C₂²×#392	C₂³	semidirect
218. C₂²×#392	C₂³	semidirect
219. C₂²×#392	C₂³	semidirect
220. C₂²×#392	C₂³	semidirect
221. C₂²×#392	C₂³	semidirect
222. C₂²×#392	C₂³	semidirect
223. C₂²×#392	C₂³	semidirect
224. C₂²×#392	C₂³	semidirect
225. C₂²×#392	C₂³	semidirect
226. C₂²×#392	C₂³	semidirect
227. C₂²×#392	C₂³	semidirect
228. C₂²×#392	C₂³	semidirect
229. C₂²×#392	C₂³	semidirect
230. C₂²×#392	C₂³	semidirect
231. C₂²×#392	C₂³	semidirect
232. C₂²×#390	D₄	semidirect
234. C₂²×#390	C₂³	semidirect
235. C₂²×#390	C₂³	semidirect
236. C₂²×#390	C₂³	semidirect
237. C₂²×#386	D₄	semidirect
240. C₂²×#386	C₂³	semidirect
243. C₂²×#379	C₂³	semidirect
244. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
267. C₂×#1439	C₂³	semidirect
268. C₂×#1439	C₂³	semidirect
269. C₂×#1438	D₄	semidirect
272. C₂×#1438	C₂³	semidirect
273. C₂×#1438	C₂³	semidirect
274. C₂×#1438	C₂³	semidirect
275. C₂×#1438	C₂³	semidirect
276. C₂×#1438	C₂³	semidirect
277. C₂×#1438	C₂³	semidirect
278. C₂×#1438	C₂³	semidirect
279. C₂×#1438	C₂³	semidirect
280. C₂×#1438	C₂³	semidirect
281. C₂×#1438	C₂³	semidirect
282. C₂×#1438	C₂³	semidirect
283. C₂×#1438	C₂³	semidirect
284. C₂×#1438	C₂³	semidirect
285. C₂×#1438	C₂³	semidirect
286. C₂×#1438	C₂³	semidirect
287. C₂×#1437	C₂³	semidirect
288. C₂×#1437	C₂³	semidirect
289. C₂×#1437	C₂³	semidirect
290. C₂×#1437	C₂³	semidirect
291. C₂×#1437	C₂³	semidirect
292. C₂×#1437	C₂³	semidirect
293. C₂×#1436	C₂³	semidirect
294. C₂×C₂²⋊#95	C₂³	semidirect
295. C₂×C₄×#95	C₂³	semidirect
296. #7557	C₂³	semidirect
297. #7557	C₂³	semidirect
298. #7555	C₂³	semidirect
299. #7555	C₂³	semidirect
300. #7555	C₂³	semidirect
301. #7555	C₂³	semidirect
302. #7555	C₂³	semidirect
303. #7555	C₂³	semidirect
304. #7555	C₂³	semidirect
305. #7555	C₂³	semidirect
306. #7554	C₂³	semidirect
325. C₂⁴×D₄	C₂×D₄	semidirect
361. C₂²×#120	C₂×D₄	semidirect
362. C₂³×C₄⋊C₄	C₂×D₄	semidirect
377. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
378. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
379. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
380. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
381. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
382. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
420. C₂³×C₄²	C₂×D₄	semidirect
424. C₂×#392	C₂×D₄	semidirect
425. C₂×#392	C₂×D₄	semidirect
426. C₂×#390	C₂×D₄	semidirect
427. C₂×#386	C₂×D₄	semidirect
431. C₂²×#95	C₂×D₄	semidirect
432. C₂²×#95	C₂×D₄	semidirect
433. C₂²×#95	C₂×D₄	semidirect
456. #1438	C₂×D₄	semidirect
483. C₂³×D₄	#127	semidirect
493. C₂³×D₄	C₂²×D₄	semidirect
540. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
541. C₂²×C₂²⋊C₄	#120	semidirect
554. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
555. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
556. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
557. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
558. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
559. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
560. C₂²×C₄²	C₂²×D₄	semidirect
561. C₂×#95	#120	semidirect
565. C₂×#95	C₂²×D₄	semidirect
566. C₂×#95	C₂²×D₄	semidirect
567. C₂×#95	C₂²×D₄	semidirect
616. C₂²×D₄	C₂×#127	semidirect
667. C₂×C₂²⋊C₄	C₂×#120	semidirect
668. #95	C₂×#120	semidirect
786. C₂²×C₄	#2403	semidirect
787. C₂²×C₄	#2433	semidirect
981. C₂×C₄	C₂×#2403	semidirect
982. C₂×C₄	C₂×#2433	semidirect
1093. C₂	#72278012	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#153797	2
C₂×#154635	2
C₂×#158317	2
C₂×#155585	2
C₂²×#15142	2
C₂²×#15310	2
#72278012	2
C₂²×#15258	2
C₂²×#15267	2
C₂³×#2433	2
C₂×#154671	2
C₂×#156684	2
C₂×#156706	2
C₂×#158314	2
C₂²×#14715	2
C₂×#158995	2
C₂³×#2403	2

Subgroups — C2×#72278012 #72297510

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72278012 #72297510