Subgroups — C₂×#72250304 #72334754

Order 2048.

At least 9628 conjugacy classes of subgroups; only the 13544 normal subgroups are shown.

The subgroup lattice has 1046 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#14727	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#16255	C₂	1	4	yes	maximal, complemented
3	C₂×#154096	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#154194	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#154194	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#154194	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#154200	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#14724	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#14724	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#155622	C₂	1	4	yes	maximal, complemented
11	C₂×#156688	C₂	1	4	yes	maximal, complemented
12	C₂×#156688	C₂	1	4	yes	maximal, complemented
13	C₂×#154094	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#154094	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#154094	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#154094	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂⁵×#120	C₂	1	1	yes	maximal, characteristic
18	#72250304	C₂	1	32	yes	maximal, direct product factor
19	C₂²×#14679	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#14679	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁹	C₂²	1	1	yes	characteristic
22	C₂⁶×D₄	C₂²	1	1	yes	characteristic
23	C₂⁶×D₄	C₂²	1	1	yes	characteristic
24	C₂⁶×D₄	C₂²	1	1	yes	characteristic
25	C₂⁴×#120	C₂²	1	16	yes	—
26	C₂⁴×#120	C₂²	1	4	yes	—
27	C₂⁴×#120	C₂²	1	4	yes	—
28	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic
29	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic
31	C₂³×#397	C₂²	1	2	yes	complemented
32	C₂³×#394	C₂²	1	2	yes	complemented
33	C₂³×#394	C₂²	1	4	yes	complemented
34	C₂³×#394	C₂²	1	2	yes	complemented
35	C₂³×#385	C₂²	1	1	yes	characteristic, complemented
36	C₂³×#385	C₂²	1	1	yes	characteristic, complemented
37	C₂³×#379	C₂²	1	1	yes	characteristic
38	C₂³×#379	C₂²	1	1	yes	characteristic
39	C₂³×#379	C₂²	1	1	yes	characteristic
40	C₂³×#379	C₂²	1	1	yes	characteristic
41	C₂³×#379	C₂²	1	1	yes	characteristic
42	C₂³×#379	C₂²	1	1	yes	characteristic
43	C₂³×#379	C₂²	1	1	yes	characteristic
44	C₂³×#379	C₂²	1	1	yes	characteristic
45	C₂³×#379	C₂²	1	1	yes	characteristic
46	C₂³×#379	C₂²	1	1	yes	characteristic
47	C₂³×#379	C₂²	1	1	yes	characteristic
48	C₂³×#379	C₂²	1	1	yes	characteristic
49	C₂³×#379	C₂²	1	2	yes	complemented
50	C₂³×#379	C₂²	1	4	yes	complemented
51	C₂³×#379	C₂²	1	2	yes	complemented
52	C₂³×#379	C₂²	1	2	yes	complemented
53	C₂³×#379	C₂²	1	2	yes	complemented
54	C₂³×#379	C₂²	1	4	yes	complemented
55	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
56	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
57	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
58	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
59	C₂×#16255	C₂²	1	64	yes	complemented
60	C₂×#14727	C₂²	1	16	yes	complemented
61	C₂×#14724	C₂²	1	16	yes	complemented
62	C₂×#14724	C₂²	1	16	yes	complemented
63	C₂×#14679	C₂²	1	16	yes	complemented
64	C₂×#14679	C₂²	1	16	yes	complemented
65	C₂²×#1440	C₂²	1	4	yes	complemented
66	C₂²×#1440	C₂²	1	4	yes	complemented
67	C₂²×#1440	C₂²	1	2	yes	complemented
68	C₂²×#1440	C₂²	1	2	yes	complemented
69	C₂²×#1439	C₂²	1	4	yes	complemented
70	C₂²×#1439	C₂²	1	4	yes	complemented
71	C₂²×#1439	C₂²	1	4	yes	complemented
72	C₂²×#1439	C₂²	1	2	yes	complemented
73	C₂²×#1438	C₂²	1	4	yes	complemented
74	C₂²×#1438	C₂²	1	4	yes	complemented
75	C₂²×#1438	C₂²	1	4	yes	complemented
76	C₂²×#1438	C₂²	1	4	yes	complemented
77	C₂²×#1438	C₂²	1	2	yes	complemented
78	C₂²×#1438	C₂²	1	4	yes	complemented
79	C₂²×#1438	C₂²	1	2	yes	complemented
80	C₂²×#1438	C₂²	1	4	yes	complemented
81	C₂²×#1438	C₂²	1	4	yes	complemented
82	C₂²×#1438	C₂²	1	4	yes	complemented
83	C₂²×#1438	C₂²	1	4	yes	complemented
84	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
85	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
87	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
88	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
89	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
90	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
91	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
92	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
93	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
94	#156688	C₂²	1	64	yes	complemented
95	#156688	C₂²	1	64	yes	complemented
96	#155622	C₂²	1	64	yes	complemented
97	#154200	C₂²	1	16	yes	complemented
98	#154194	C₂²	1	16	yes	complemented
99	#154194	C₂²	1	16	yes	complemented
100	#154194	C₂²	1	16	yes	complemented
101	#154096	C₂²	1	16	yes	complemented
102	#154094	C₂²	1	16	yes	complemented
103	#154094	C₂²	1	16	yes	complemented
104	#154094	C₂²	1	16	yes	complemented
105	#154094	C₂²	1	16	yes	complemented
106	C₂×#7555	C₂²	1	4	yes	complemented
107	C₂×#7555	C₂²	1	4	yes	complemented
108	C₂×#7555	C₂²	1	4	yes	complemented
109	C₂×#7555	C₂²	1	4	yes	complemented
110	C₂×#7555	C₂²	1	4	yes	complemented
111	C₂⁸	D₄	1	16	yes	—
112	C₂⁸	C₂³	1	1	yes	characteristic
113	C₂⁸	C₂³	1	1	yes	characteristic
114	C₂⁸	C₂³	1	1	yes	characteristic
115	C₂⁸	C₂³	1	2	yes	—
116	C₂⁸	C₂³	1	1	yes	characteristic
117	C₂⁸	C₂³	1	2	yes	—
118	C₂⁸	C₂³	1	8	yes	—
119	C₂⁵×D₄	D₄	1	16	yes	—
120	C₂⁵×D₄	C₂³	1	4	yes	—
121	C₂⁵×D₄	C₂³	1	2	yes	—
122	C₂⁵×D₄	C₂³	1	4	yes	—
123	C₂⁵×D₄	C₂³	1	8	yes	—
124	C₂⁵×D₄	C₂³	1	8	yes	—
125	C₂⁵×D₄	C₂³	1	8	yes	—
126	C₂⁵×D₄	C₂³	1	2	yes	—
127	C₂⁶×C₄	C₂³	1	1	yes	characteristic
128	C₂⁶×C₄	C₂³	1	1	yes	characteristic
129	C₂⁶×C₄	C₂³	1	1	yes	characteristic
130	C₂³×#120	D₄	1	64	yes	—
131	C₂³×#120	C₂³	1	32	yes	—
132	C₂³×#120	C₂³	1	32	yes	—
133	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	complemented
134	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	complemented
135	C₂⁴×C₂²⋊C₄	D₄	1	16	yes	—
136	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
137	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
138	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
139	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
140	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
141	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
142	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
143	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
144	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
145	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
146	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
147	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
148	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
149	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
150	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
151	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
152	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
153	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
154	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
155	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
156	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
157	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
158	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
159	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂⁴×C₂²⋊C₄	C₂³	1	4	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	1	yes	characteristic
170	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
171	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
173	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
174	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
175	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
176	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
177	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
178	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
179	C₂²×#397	C₂³	1	16	yes	complemented
180	C₂²×#394	C₂³	1	16	yes	complemented
181	C₂²×#394	C₂³	1	32	yes	complemented
182	C₂²×#394	C₂³	1	16	yes	complemented
183	C₂²×#385	C₂³	1	8	yes	complemented
184	C₂²×#385	C₂³	1	8	yes	complemented
185	C₂²×#379	D₄	1	16	yes	complemented
186	C₂²×#379	C₂³	1	8	yes	—
187	C₂²×#379	C₂³	1	8	yes	—
188	C₂²×#379	C₂³	1	8	yes	—
189	C₂²×#379	C₂³	1	8	yes	—
190	C₂²×#379	C₂³	1	8	yes	—
191	C₂²×#379	C₂³	1	8	yes	—
192	C₂²×#379	C₂³	1	8	yes	—
193	C₂²×#379	C₂³	1	8	yes	—
194	C₂²×#379	C₂³	1	8	yes	—
195	C₂²×#379	C₂³	1	8	yes	—
196	C₂²×#379	C₂³	1	8	yes	—
197	C₂²×#379	C₂³	1	8	yes	—
198	C₂²×#379	C₂³	1	16	yes	complemented
199	C₂²×#379	C₂³	1	32	yes	complemented
200	C₂²×#379	C₂³	1	16	yes	complemented
201	C₂²×#379	C₂³	1	16	yes	complemented
202	C₂²×#379	C₂³	1	32	yes	complemented
203	C₂²×#379	C₂³	1	16	yes	complemented
204	C₂²×#379	C₂³	1	8	yes	complemented
205	C₂²×#379	C₂³	1	8	yes	complemented
206	C₂²×#379	C₂³	1	8	yes	complemented
207	C₂²×#379	C₂³	1	8	yes	complemented
208	C₂³×#95	C₂³	1	2	yes	complemented
209	C₂³×#95	C₂³	1	2	yes	complemented
210	C₂³×#95	C₂³	1	2	yes	complemented
211	C₂³×#95	C₂³	1	2	yes	complemented
212	C₂³×#95	C₂³	1	2	yes	complemented
213	C₂³×#95	C₂³	1	4	yes	complemented
214	C₂³×#95	C₂³	1	2	yes	complemented
215	C₂³×#95	C₂³	1	2	yes	complemented
216	C₂³×#95	C₂³	1	4	yes	complemented
217	C₂³×#95	C₂³	1	4	yes	complemented
218	C₂³×#95	C₂³	1	4	yes	complemented
219	C₂³×#95	C₂³	1	2	yes	complemented
220	C₂³×#95	C₂³	1	4	yes	complemented
221	C₂³×#95	C₂³	1	2	yes	complemented
222	C₂³×#95	C₂³	1	4	yes	complemented
223	C₂³×#95	C₂³	1	2	yes	complemented
224	C₂×#1440	C₂³	1	16	yes	complemented
225	C₂×#1440	C₂³	1	32	yes	complemented
226	C₂×#1440	C₂³	1	16	yes	complemented
227	C₂×#1440	C₂³	1	32	yes	complemented
228	C₂×#1439	C₂³	1	16	yes	complemented
229	C₂×#1439	C₂³	1	32	yes	complemented
230	C₂×#1439	C₂³	1	32	yes	complemented
231	C₂×#1439	C₂³	1	32	yes	complemented
232	C₂×#1438	C₂³	1	16	yes	complemented
233	C₂×#1438	C₂³	1	32	yes	complemented
234	C₂×#1438	C₂³	1	32	yes	complemented
235	C₂×#1438	C₂³	1	32	yes	complemented
236	C₂×#1438	C₂³	1	32	yes	complemented
237	C₂×#1438	C₂³	1	16	yes	complemented
238	C₂×#1438	C₂³	1	32	yes	complemented
239	C₂×#1438	C₂³	1	32	yes	complemented
240	C₂×#1438	C₂³	1	32	yes	complemented
241	C₂×#1438	C₂³	1	32	yes	complemented
242	C₂×#1438	C₂³	1	32	yes	complemented
243	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
244	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
245	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
246	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
247	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
248	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
249	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
250	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
251	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
252	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
253	#7555	C₂³	1	32	yes	complemented
254	#7555	C₂³	1	32	yes	complemented
255	#7555	C₂³	1	32	yes	complemented
256	#7555	C₂³	1	32	yes	complemented
257	#7555	C₂³	1	32	yes	complemented
258	C₂⁷	C₂×D₄	1	8	yes	—
259	C₂⁷	C₂×D₄	1	8	yes	—
260	C₂⁷	C₂×D₄	1	8	yes	—
261	C₂⁷	C₂×D₄	1	8	yes	—
262	C₂⁷	C₂×D₄	1	8	yes	—
263	C₂⁷	C₂×D₄	1	8	yes	—
264	C₂⁷	C₂×D₄	1	8	yes	—
265	C₂⁷	C₂×D₄	1	16	yes	—
266	C₂⁷	C₂×D₄	1	32	yes	—
267	C₂⁷	C₂×D₄	1	16	yes	—
268	C₂⁷	C₂×D₄	1	64	yes	—
269	C₂⁷	#41	1	8	yes	—
270	C₂⁷	#41	1	8	yes	—
271	C₂⁷	#41	1	8	yes	—
272	C₂⁷	C₂⁴	1	2	yes	—
273	C₂⁷	C₂⁴	1	1	yes	characteristic
274	C₂⁷	C₂⁴	1	2	yes	—
275	C₂⁷	C₂⁴	1	2	yes	—
276	C₂⁷	C₂⁴	1	1	yes	characteristic
277	C₂⁷	C₂⁴	1	4	yes	—
278	C₂⁷	C₂⁴	1	4	yes	—
279	C₂⁷	C₂⁴	1	4	yes	—
280	C₂⁷	C₂⁴	1	4	yes	—
281	C₂⁷	C₂⁴	1	8	yes	—
282	C₂⁷	C₂⁴	1	1	yes	characteristic
283	C₂⁷	C₂⁴	1	8	yes	—
284	C₂⁴×D₄	C₂×D₄	1	32	yes	—
285	C₂⁴×D₄	C₂×D₄	1	32	yes	—
286	C₂⁴×D₄	C₂×D₄	1	16	yes	—
287	C₂⁴×D₄	C₂×D₄	1	64	yes	—
288	C₂⁴×D₄	C₂×D₄	1	32	yes	—
289	C₂⁴×D₄	C₂×D₄	1	16	yes	—
290	C₂⁴×D₄	C₂⁴	1	16	yes	—
291	C₂⁴×D₄	C₂⁴	1	16	yes	—
292	C₂⁴×D₄	C₂⁴	1	8	yes	—
293	C₂⁴×D₄	C₂⁴	1	8	yes	—
294	C₂⁵×C₄	C₂×D₄	1	8	yes	—
295	C₂⁵×C₄	C₂×D₄	1	8	yes	—
296	C₂⁵×C₄	C₂×D₄	1	8	yes	—
297	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
298	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
299	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
300	C₂⁵×C₄	C₂⁴	1	2	yes	—
301	C₂⁵×C₄	C₂⁴	1	2	yes	—
302	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
303	C₂⁵×C₄	C₂⁴	1	2	yes	—
304	C₂⁵×C₄	C₂⁴	1	2	yes	—
305	C₂⁵×C₄	C₂⁴	1	2	yes	—
306	C₂⁵×C₄	C₂⁴	1	2	yes	—
307	C₂⁵×C₄	C₂⁴	1	2	yes	—
308	C₂⁵×C₄	C₂⁴	1	2	yes	—
309	C₂⁵×C₄	C₂⁴	1	2	yes	—
310	C₂⁵×C₄	C₂⁴	1	4	yes	—
311	C₂⁵×C₄	C₂⁴	1	4	yes	—
312	C₂⁵×C₄	C₂⁴	1	4	yes	—
313	C₂²×#120	C₂×D₄	1	256	yes	—
314	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	complemented
315	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	complemented
316	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	—
317	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	—
318	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
319	C₂³×C₂²⋊C₄	C₂×D₄	1	64	yes	—
320	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
321	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
322	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	—
323	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
324	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
325	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
326	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
327	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
328	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
329	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
330	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
331	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
332	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
333	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
334	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
335	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
336	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
337	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
338	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
339	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
340	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
341	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
342	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
343	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
344	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
345	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
346	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
347	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
348	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
349	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
350	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
351	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
352	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
353	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
354	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
355	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
356	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
357	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
358	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
359	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
360	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
361	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
362	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
363	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
364	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
365	C₂×#379	C₂×D₄	1	64	yes	complemented
366	C₂²×#95	C₂⁴	1	8	yes	complemented
367	C₂²×#95	C₂⁴	1	8	yes	complemented
368	C₂²×#95	C₂⁴	1	8	yes	complemented
369	C₂²×#95	C₂⁴	1	8	yes	complemented
370	C₂²×#95	C₂⁴	1	8	yes	complemented
371	C₂²×#95	C₂⁴	1	16	yes	complemented
372	C₂²×#95	C₂⁴	1	16	yes	complemented
373	C₂²×#95	C₂⁴	1	8	yes	complemented
374	C₂²×#95	C₂⁴	1	16	yes	complemented
375	C₂²×#95	C₂⁴	1	16	yes	complemented
376	C₂²×#95	C₂⁴	1	8	yes	complemented
377	C₂²×#95	C₂⁴	1	16	yes	complemented
378	C₂²×#95	C₂⁴	1	8	yes	complemented
379	C₂²×#95	C₂⁴	1	16	yes	complemented
380	C₂²×#95	C₂⁴	1	8	yes	complemented
381	C₂²×#95	C₂⁴	1	8	yes	complemented
382	C₂⁶	#120	1	64	yes	—
383	C₂⁶	#120	1	128	yes	—
384	C₂⁶	#121	1	64	yes	—
385	C₂⁶	#123	1	64	yes	—
386	C₂⁶	C₂²×D₄	1	8	yes	—
387	C₂⁶	C₂²×D₄	1	16	yes	—
388	C₂⁶	C₂²×D₄	1	4	yes	—
389	C₂⁶	C₂²×D₄	1	4	yes	—
390	C₂⁶	C₂²×D₄	1	16	yes	—
391	C₂⁶	C₂²×D₄	1	4	yes	—
392	C₂⁶	C₂²×D₄	1	8	yes	—
393	C₂⁶	C₂²×D₄	1	8	yes	—
394	C₂⁶	C₂²×D₄	1	4	yes	—
395	C₂⁶	C₂²×D₄	1	4	yes	—
396	C₂⁶	C₂²×D₄	1	4	yes	—
397	C₂⁶	C₂²×D₄	1	16	yes	—
398	C₂⁶	C₂²×D₄	1	16	yes	—
399	C₂⁶	C₂²×D₄	1	8	yes	—
400	C₂⁶	C₂²×D₄	1	16	yes	—
401	C₂⁶	C₂²×D₄	1	16	yes	—
402	C₂⁶	C₂²×D₄	1	16	yes	—
403	C₂⁶	C₂²×D₄	1	16	yes	—
404	C₂⁶	C₂²×D₄	1	16	yes	—
405	C₂⁶	C₂²×D₄	1	16	yes	—
406	C₂⁶	C₂²×D₄	1	16	yes	—
407	C₂⁶	C₂²×D₄	1	32	yes	—
408	C₂⁶	C₂²×D₄	1	4	yes	—
409	C₂⁶	C₂²×D₄	1	4	yes	—
410	C₂⁶	C₂²×D₄	1	4	yes	—
411	C₂⁶	C₂²×D₄	1	4	yes	—
412	C₂⁶	C₂²×D₄	1	64	yes	—
413	C₂⁶	C₂²×D₄	1	32	yes	—
414	C₂⁶	C₂×#41	1	8	yes	—
415	C₂⁶	C₂×#41	1	8	yes	—
416	C₂⁶	C₂×#41	1	8	yes	—
417	C₂⁶	C₂×#41	1	16	yes	—
418	C₂⁶	C₂×#41	1	16	yes	—
419	C₂⁶	C₂×#41	1	16	yes	—
420	C₂⁶	C₂×#41	1	4	yes	—
421	C₂⁶	C₂×#41	1	4	yes	—
422	C₂⁶	C₂×#41	1	4	yes	—
423	C₂⁶	H(5,𝔽₂)	1	16	yes	—
424	C₂⁶	H(5,𝔽₂)	1	16	yes	—
425	C₂⁶	H(5,𝔽₂)	1	16	yes	—
426	C₂⁶	H(5,𝔽₂)	1	4	yes	—
427	C₂⁶	H(5,𝔽₂)	1	4	yes	—
428	C₂⁶	H(5,𝔽₂)	1	4	yes	—
429	C₂⁶	H(5,𝔽₂)	1	4	yes	—
430	C₂⁶	H(5,𝔽₂)	1	4	yes	—
431	C₂⁶	H(5,𝔽₂)	1	4	yes	—
432	C₂⁶	H(5,𝔽₂)	1	4	yes	—
433	C₂⁶	H(5,𝔽₂)	1	4	yes	—
434	C₂⁶	C₂⁵	1	4	yes	—
435	C₂⁶	C₂⁵	1	2	yes	—
436	C₂⁶	C₂⁵	1	4	yes	—
437	C₂⁶	C₂⁵	1	4	yes	—
438	C₂⁶	C₂⁵	1	2	yes	—
439	C₂⁶	C₂⁵	1	2	yes	—
440	C₂⁶	C₂⁵	1	1	yes	characteristic
441	C₂³×D₄	#120	1	128	yes	—
442	C₂³×D₄	C₂²×D₄	1	64	yes	—
443	C₂³×D₄	C₂²×D₄	1	64	yes	—
444	C₂³×D₄	C₂²×D₄	1	32	yes	—
445	C₂³×D₄	C₂²×D₄	1	64	yes	—
446	C₂³×D₄	C₂²×D₄	1	32	yes	—
447	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
448	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
449	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
450	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
451	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
452	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
453	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
454	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
455	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
456	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
457	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
458	C₂⁴×C₄	C₂⁵	1	2	yes	—
459	C₂⁴×C₄	C₂⁵	1	2	yes	—
460	C₂⁴×C₄	C₂⁵	1	2	yes	—
461	C₂⁴×C₄	C₂⁵	1	4	yes	—
462	C₂⁴×C₄	C₂⁵	1	4	yes	—
463	C₂⁴×C₄	C₂⁵	1	2	yes	—
464	C₂⁴×C₄	C₂⁵	1	4	yes	—
465	C₂⁴×C₄	C₂⁵	1	4	yes	—
466	C₂⁴×C₄	C₂⁵	1	4	yes	—
467	C₂⁴×C₄	C₂⁵	1	4	yes	—
468	C₂⁴×C₄	C₂⁵	1	4	yes	—
469	C₂⁴×C₄	C₂⁵	1	4	yes	—
470	C₂⁴×C₄	C₂⁵	1	4	yes	—
471	C₂²×C₂²⋊C₄	#120	1	128	yes	—
472	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
473	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
474	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
475	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
476	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
477	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	—
478	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
479	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
480	C₂⁵	C₂×#120	1	32	yes	—
481	C₂⁵	C₂×#120	1	32	yes	—
482	C₂⁵	C₂×#120	1	16	yes	—
483	C₂⁵	C₂×#120	1	32	yes	—
484	C₂⁵	C₂×#120	1	32	yes	—
485	C₂⁵	C₂×#120	1	16	yes	—
486	C₂⁵	C₂×#120	1	32	yes	—
487	C₂⁵	C₂×#120	1	32	yes	—
488	C₂⁵	C₂×#120	1	64	yes	—
489	C₂⁵	C₂×#120	1	16	yes	—
490	C₂⁵	C₂×#120	1	128	yes	—
491	C₂⁵	C₂×#121	1	32	yes	—
492	C₂⁵	C₂×#121	1	64	yes	—
493	C₂⁵	C₂×#121	1	16	yes	—
494	C₂⁵	C₂×#123	1	32	yes	—
495	C₂⁵	C₂×#123	1	64	yes	—
496	C₂⁵	C₂×#123	1	16	yes	—
497	C₂⁵	#534	1	32	yes	—
498	C₂⁵	#534	1	32	yes	—
499	C₂⁵	#534	1	32	yes	—
500	C₂⁵	#534	1	32	yes	—
501	C₂⁵	#534	1	16	yes	—
502	C₂⁵	#534	1	16	yes	—
503	C₂⁵	#534	1	16	yes	—
504	C₂⁵	#534	1	16	yes	—
505	C₂⁵	#534	1	16	yes	—
506	C₂⁵	#534	1	16	yes	—
507	C₂⁵	#534	1	16	yes	—
508	C₂⁵	#535	1	32	yes	—
509	C₂⁵	#535	1	16	yes	—
510	C₂⁵	#535	1	16	yes	—
511	C₂⁵	#535	1	16	yes	—
512	C₂⁵	#538	1	16	yes	—
513	C₂⁵	#538	1	16	yes	—
514	C₂⁵	#538	1	16	yes	—
515	C₂⁵	#538	1	16	yes	—
516	C₂⁵	#538	1	16	yes	—
517	C₂⁵	#538	1	16	yes	—
518	C₂⁵	D₄²	1	64	yes	—
519	C₂⁵	D₄²	1	16	yes	—
520	C₂⁵	D₄²	1	16	yes	—
521	C₂⁵	#546	1	64	yes	—
522	C₂⁵	#546	1	64	yes	—
523	C₂⁵	#546	1	64	yes	—
524	C₂⁵	#546	1	16	yes	—
525	C₂⁵	#546	1	16	yes	—
526	C₂⁵	#546	1	16	yes	—
527	C₂⁵	#546	1	16	yes	—
528	C₂⁵	#546	1	16	yes	—
529	C₂⁵	#546	1	16	yes	—
530	C₂⁵	#546	1	16	yes	—
531	C₂⁵	#546	1	16	yes	—
532	C₂⁵	#551	1	16	yes	—
533	C₂⁵	#551	1	16	yes	—
534	C₂⁵	#560	1	16	yes	—
535	C₂⁵	#560	1	16	yes	—
536	C₂⁵	#560	1	16	yes	—
537	C₂⁵	H(3,𝔽₄)	1	16	yes	—
538	C₂⁵	C₂³×D₄	1	8	yes	—
539	C₂⁵	C₂³×D₄	1	16	yes	—
540	C₂⁵	C₂³×D₄	1	4	yes	—
541	C₂⁵	C₂³×D₄	1	4	yes	—
542	C₂⁵	C₂³×D₄	1	16	yes	—
543	C₂⁵	C₂³×D₄	1	4	yes	—
544	C₂⁵	C₂³×D₄	1	8	yes	—
545	C₂⁵	C₂³×D₄	1	8	yes	—
546	C₂⁵	C₂³×D₄	1	4	yes	—
547	C₂⁵	C₂³×D₄	1	4	yes	—
548	C₂⁵	C₂³×D₄	1	4	yes	—
549	C₂⁵	C₂³×D₄	1	16	yes	—
550	C₂⁵	C₂³×D₄	1	16	yes	—
551	C₂⁵	C₂³×D₄	1	8	yes	—
552	C₂⁵	C₂³×D₄	1	4	yes	—
553	C₂⁵	C₂³×D₄	1	4	yes	—
554	C₂⁵	C₂³×D₄	1	4	yes	—
555	C₂⁵	C₂³×D₄	1	4	yes	—
556	C₂⁵	C₂³×D₄	1	2	yes	—
557	C₂⁵	C₂³×D₄	1	2	yes	—
558	C₂⁵	C₂³×D₄	1	2	yes	—
559	C₂⁵	C₂³×D₄	1	8	yes	—
560	C₂⁵	C₂³×D₄	1	2	yes	—
561	C₂⁵	C₂²×#41	1	8	yes	—
562	C₂⁵	C₂²×#41	1	8	yes	—
563	C₂⁵	C₂²×#41	1	8	yes	—
564	C₂⁵	C₂²×#41	1	4	yes	—
565	C₂⁵	C₂²×#41	1	4	yes	—
566	C₂⁵	C₂²×#41	1	4	yes	—
567	C₂⁵	C₂²×#41	1	2	yes	—
568	C₂⁵	C₂²×#41	1	2	yes	—
569	C₂⁵	C₂²×#41	1	2	yes	—
570	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
571	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
572	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
573	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
574	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
575	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
576	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
577	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
578	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
579	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
580	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
581	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
582	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
583	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
584	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
585	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
586	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
587	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
588	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
589	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
590	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
591	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
592	C₂⁵	C₂⁶	1	1	yes	characteristic
593	C₂²×D₄	C₂×#120	1	128	yes	—
594	C₂³×C₄	C₂×#120	1	32	yes	—
595	C₂³×C₄	C₂×#120	1	32	yes	—
596	C₂³×C₄	C₂×#120	1	32	yes	—
597	C₂³×C₄	C₂³×D₄	1	8	yes	—
598	C₂³×C₄	C₂³×D₄	1	8	yes	—
599	C₂³×C₄	C₂³×D₄	1	8	yes	—
600	C₂³×C₄	C₂³×D₄	1	16	yes	—
601	C₂³×C₄	C₂³×D₄	1	16	yes	—
602	C₂³×C₄	C₂³×D₄	1	8	yes	—
603	C₂³×C₄	C₂³×D₄	1	16	yes	—
604	C₂³×C₄	C₂³×D₄	1	8	yes	—
605	C₂×C₂²⋊C₄	C₂×#120	1	128	yes	—
606	C₂⁴	#2405	1	128	yes	—
607	C₂⁴	#2405	1	64	yes	—
608	C₂⁴	#2410	1	128	yes	—
609	C₂⁴	#2410	1	64	yes	—
610	C₂⁴	#2412	1	64	yes	—
611	C₂⁴	#2613	1	64	yes	—
612	C₂⁴	#2613	1	64	yes	—
613	C₂⁴	#2617	1	64	yes	—
614	C₂⁴	#2622	1	64	yes	—
615	C₂⁴	#2668	1	64	yes	—
616	C₂⁴	#2670	1	64	yes	—
617	C₂⁴	#2678	1	64	yes	—
618	C₂⁴	#2678	1	64	yes	—
619	C₂⁴	#2684	1	64	yes	—
620	C₂⁴	#2685	1	64	yes	—
621	C₂⁴	#2685	1	64	yes	—
622	C₂⁴	#2697	1	64	yes	—
623	C₂⁴	#2812	1	64	yes	—
624	C₂⁴	#2846	1	64	yes	—
625	C₂⁴	C₂²×#120	1	16	yes	—
626	C₂⁴	C₂²×#120	1	16	yes	—
627	C₂⁴	C₂²×#120	1	8	yes	—
628	C₂⁴	C₂²×#120	1	16	yes	—
629	C₂⁴	C₂²×#120	1	16	yes	—
630	C₂⁴	C₂²×#120	1	16	yes	—
631	C₂⁴	C₂²×#120	1	16	yes	—
632	C₂⁴	C₂²×#120	1	8	yes	—
633	C₂⁴	C₂²×#120	1	8	yes	—
634	C₂⁴	C₂²×#120	1	8	yes	—
635	C₂⁴	C₂²×#120	1	8	yes	—
636	C₂⁴	C₂²×#120	1	8	yes	—
637	C₂⁴	C₂²×#120	1	4	yes	—
638	C₂⁴	C₂²×#121	1	16	yes	—
639	C₂⁴	C₂²×#121	1	8	yes	—
640	C₂⁴	C₂²×#121	1	4	yes	—
641	C₂⁴	C₂²×#123	1	16	yes	—
642	C₂⁴	C₂²×#123	1	8	yes	—
643	C₂⁴	C₂²×#123	1	4	yes	—
644	C₂⁴	C₂×#534	1	16	yes	—
645	C₂⁴	C₂×#534	1	16	yes	—
646	C₂⁴	C₂×#534	1	16	yes	—
647	C₂⁴	C₂×#534	1	16	yes	—
648	C₂⁴	C₂×#534	1	8	yes	—
649	C₂⁴	C₂×#534	1	8	yes	—
650	C₂⁴	C₂×#534	1	8	yes	—
651	C₂⁴	C₂×#534	1	8	yes	—
652	C₂⁴	C₂×#534	1	8	yes	—
653	C₂⁴	C₂×#534	1	8	yes	—
654	C₂⁴	C₂×#534	1	8	yes	—
655	C₂⁴	C₂×#534	1	4	yes	—
656	C₂⁴	C₂×#534	1	8	yes	—
657	C₂⁴	C₂×#534	1	4	yes	—
658	C₂⁴	C₂×#534	1	4	yes	—
659	C₂⁴	C₂×#534	1	4	yes	—
660	C₂⁴	C₂×#534	1	8	yes	—
661	C₂⁴	C₂×#534	1	8	yes	—
662	C₂⁴	C₂×#534	1	8	yes	—
663	C₂⁴	C₂×#534	1	4	yes	—
664	C₂⁴	C₂×#534	1	4	yes	—
665	C₂⁴	C₂×#534	1	4	yes	—
666	C₂⁴	C₂×#535	1	16	yes	—
667	C₂⁴	C₂×#535	1	8	yes	—
668	C₂⁴	C₂×#535	1	8	yes	—
669	C₂⁴	C₂×#535	1	8	yes	—
670	C₂⁴	C₂×#535	1	4	yes	—
671	C₂⁴	C₂×#535	1	8	yes	—
672	C₂⁴	C₂×#535	1	4	yes	—
673	C₂⁴	C₂×#535	1	4	yes	—
674	C₂⁴	C₂×#538	1	8	yes	—
675	C₂⁴	C₂×#538	1	8	yes	—
676	C₂⁴	C₂×#538	1	8	yes	—
677	C₂⁴	C₂×#538	1	8	yes	—
678	C₂⁴	C₂×#538	1	8	yes	—
679	C₂⁴	C₂×#538	1	8	yes	—
680	C₂⁴	C₂×#538	1	4	yes	—
681	C₂⁴	C₂×#538	1	4	yes	—
682	C₂⁴	C₂×#538	1	4	yes	—
683	C₂⁴	C₂×#538	1	4	yes	—
684	C₂⁴	C₂×#538	1	4	yes	—
685	C₂⁴	C₂×#538	1	4	yes	—
686	C₂⁴	C₂×D₄²	1	32	yes	—
687	C₂⁴	C₂×D₄²	1	8	yes	—
688	C₂⁴	C₂×D₄²	1	8	yes	—
689	C₂⁴	C₂×D₄²	1	4	yes	—
690	C₂⁴	C₂×D₄²	1	16	yes	—
691	C₂⁴	C₂×D₄²	1	4	yes	—
692	C₂⁴	C₂×#546	1	32	yes	—
693	C₂⁴	C₂×#546	1	32	yes	—
694	C₂⁴	C₂×#546	1	32	yes	—
695	C₂⁴	C₂×#546	1	8	yes	—
696	C₂⁴	C₂×#546	1	8	yes	—
697	C₂⁴	C₂×#546	1	8	yes	—
698	C₂⁴	C₂×#546	1	8	yes	—
699	C₂⁴	C₂×#546	1	8	yes	—
700	C₂⁴	C₂×#546	1	8	yes	—
701	C₂⁴	C₂×#546	1	8	yes	—
702	C₂⁴	C₂×#546	1	8	yes	—
703	C₂⁴	C₂×#546	1	16	yes	—
704	C₂⁴	C₂×#546	1	16	yes	—
705	C₂⁴	C₂×#546	1	16	yes	—
706	C₂⁴	C₂×#546	1	4	yes	—
707	C₂⁴	C₂×#546	1	4	yes	—
708	C₂⁴	C₂×#546	1	4	yes	—
709	C₂⁴	C₂×#546	1	4	yes	—
710	C₂⁴	C₂×#546	1	4	yes	—
711	C₂⁴	C₂×#546	1	4	yes	—
712	C₂⁴	C₂×#546	1	4	yes	—
713	C₂⁴	C₂×#546	1	4	yes	—
714	C₂⁴	C₂×#551	1	8	yes	—
715	C₂⁴	C₂×#551	1	8	yes	—
716	C₂⁴	C₂×#551	1	4	yes	—
717	C₂⁴	C₂×#551	1	4	yes	—
718	C₂⁴	#3484	1	16	yes	—
719	C₂⁴	#3484	1	16	yes	—
720	C₂⁴	#3484	1	16	yes	—
721	C₂⁴	#3484	1	8	yes	—
722	C₂⁴	#3484	1	16	yes	—
723	C₂⁴	#3484	1	16	yes	—
724	C₂⁴	#3484	1	8	yes	—
725	C₂⁴	#3484	1	16	yes	—
726	C₂⁴	#3484	1	16	yes	—
727	C₂⁴	#3484	1	8	yes	—
728	C₂⁴	#3484	1	8	yes	—
729	C₂⁴	#3484	1	16	yes	—
730	C₂⁴	#3484	1	16	yes	—
731	C₂⁴	#3490	1	16	yes	—
732	C₂⁴	#3490	1	16	yes	—
733	C₂⁴	#3490	1	16	yes	—
734	C₂⁴	C₂×#560	1	8	yes	—
735	C₂⁴	C₂×#560	1	8	yes	—
736	C₂⁴	C₂×#560	1	8	yes	—
737	C₂⁴	C₂×#560	1	4	yes	—
738	C₂⁴	C₂×#560	1	4	yes	—
739	C₂⁴	C₂×#560	1	4	yes	—
740	C₂⁴	C₂×H(3,𝔽₄)	1	8	yes	—
741	C₂⁴	C₂×H(3,𝔽₄)	1	4	yes	—
742	C₂⁴	#3532	1	16	yes	—
743	C₂⁴	#3532	1	16	yes	—
744	C₂⁴	#3532	1	16	yes	—
745	C₂⁴	#3532	1	16	yes	—
746	C₂⁴	#3532	1	16	yes	—
747	C₂⁴	#3532	1	16	yes	—
748	C₂⁴	#3532	1	16	yes	—
749	C₂⁴	#3532	1	16	yes	—
750	C₂⁴	C₂⁴×D₄	1	4	yes	—
751	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
752	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
753	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
754	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
755	C₂⁴	C₂³×#41	1	1	yes	characteristic
756	C₂⁴	C₂³×#41	1	1	yes	characteristic
757	C₂⁴	C₂³×#41	1	1	yes	characteristic
758	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
759	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
760	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
761	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
762	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
763	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
764	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
765	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
766	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
767	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
768	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
769	C₂²×C₄	C₂²×#120	1	16	yes	—
770	C₂²×C₄	C₂²×#120	1	16	yes	—
771	C₂²×C₄	C₂²×#120	1	16	yes	—
772	C₂³	#16255	1	256	yes	complemented
773	C₂³	C₂×#2613	1	16	yes	—
774	C₂³	C₂×#2613	1	16	yes	—
775	C₂³	C₂×#2613	1	8	yes	—
776	C₂³	C₂×#2613	1	8	yes	—
777	C₂³	C₂×#2617	1	16	yes	—
778	C₂³	C₂×#2617	1	8	yes	—
779	C₂³	C₂×#2622	1	16	yes	—
780	C₂³	C₂×#2622	1	8	yes	—
781	C₂³	C₂×#2410	1	32	yes	—
782	C₂³	C₂×#2410	1	16	yes	—
783	C₂³	C₂×#2410	1	16	yes	—
784	C₂³	C₂×#2410	1	8	yes	—
785	C₂³	C₂×#2405	1	32	yes	—
786	C₂³	C₂×#2405	1	16	yes	—
787	C₂³	C₂×#2405	1	16	yes	—
788	C₂³	C₂×#2405	1	8	yes	—
789	C₂³	C₂×#2412	1	16	yes	—
790	C₂³	C₂×#2412	1	8	yes	—
791	C₂³	#34980	1	16	yes	—
792	C₂³	#34980	1	8	yes	—
793	C₂³	#34980	1	8	yes	—
794	C₂³	#34980	1	16	yes	—
795	C₂³	#34980	1	16	yes	—
796	C₂³	#34980	1	16	yes	—
797	C₂³	#34980	1	16	yes	—
798	C₂³	#34980	1	16	yes	—
799	C₂³	#34981	1	16	yes	—
800	C₂³	#34992	1	16	yes	—
801	C₂³	#35222	1	16	yes	—
802	C₂³	#35222	1	16	yes	—
803	C₂³	D₄×#120	1	16	yes	—
804	C₂³	D₄×#120	1	16	yes	—
805	C₂³	#36152	1	16	yes	—
806	C₂³	#36152	1	16	yes	—
807	C₂³	#36152	1	16	yes	—
808	C₂³	#36152	1	16	yes	—
809	C₂³	#36152	1	16	yes	—
810	C₂³	#36152	1	16	yes	—
811	C₂³	C₂×#2846	1	16	yes	—
812	C₂³	C₂×#2846	1	8	yes	—
813	C₂³	C₂×#2812	1	16	yes	—
814	C₂³	C₂×#2812	1	8	yes	—
815	C₂³	#36702	1	16	yes	—
816	C₂³	#36703	1	16	yes	—
817	C₂³	#36703	1	16	yes	—
818	C₂³	#36714	1	16	yes	—
819	C₂³	#37436	1	16	yes	—
820	C₂³	#37436	1	16	yes	—
821	C₂³	#37436	1	16	yes	—
822	C₂³	#37436	1	16	yes	—
823	C₂³	#37644	1	32	yes	—
824	C₂³	#37644	1	16	yes	—
825	C₂³	#37645	1	16	yes	—
826	C₂³	#37645	1	32	yes	—
827	C₂³	#37660	1	32	yes	—
828	C₂³	#37660	1	32	yes	—
829	C₂³	#37660	1	32	yes	—
830	C₂³	#37660	1	32	yes	—
831	C₂³	#37660	1	32	yes	—
832	C₂³	#37660	1	32	yes	—
833	C₂³	#37832	1	16	yes	—
834	C₂³	#37832	1	16	yes	—
835	C₂³	#37832	1	16	yes	—
836	C₂³	#37833	1	16	yes	—
837	C₂³	#37833	1	16	yes	—
838	C₂³	#37833	1	16	yes	—
839	C₂³	#45438	1	32	yes	—
840	C₂³	#45438	1	32	yes	—
841	C₂³	#45438	1	32	yes	—
842	C₂³	#45439	1	32	yes	—
843	C₂³	C₂×#2668	1	16	yes	—
844	C₂³	C₂×#2668	1	8	yes	—
845	C₂³	C₂×#2670	1	16	yes	—
846	C₂³	C₂×#2670	1	8	yes	—
847	C₂³	C₂×#2678	1	16	yes	—
848	C₂³	C₂×#2678	1	16	yes	—
849	C₂³	C₂×#2678	1	8	yes	—
850	C₂³	C₂×#2678	1	8	yes	—
851	C₂³	C₂×#2684	1	16	yes	—
852	C₂³	C₂×#2684	1	8	yes	—
853	C₂³	C₂×#2685	1	16	yes	—
854	C₂³	C₂×#2685	1	16	yes	—
855	C₂³	C₂×#2685	1	8	yes	—
856	C₂³	C₂×#2685	1	8	yes	—
857	C₂³	C₂×#2697	1	16	yes	—
858	C₂³	C₂×#2697	1	8	yes	—
859	C₂³	#58991	1	32	yes	—
860	C₂³	#58991	1	32	yes	—
861	C₂³	#59006	1	32	yes	—
862	C₂³	#59006	1	32	yes	—
863	C₂³	C₂³×#120	1	2	yes	—
864	C₂³	C₂³×#120	1	1	yes	characteristic
865	C₂³	C₂³×#120	1	2	yes	—
866	C₂³	C₂³×#120	1	2	yes	—
867	C₂³	C₂³×#121	1	1	yes	characteristic
868	C₂³	C₂³×#123	1	1	yes	characteristic
869	C₂³	C₂²×#534	1	1	yes	characteristic
870	C₂³	C₂²×#534	1	1	yes	characteristic
871	C₂³	C₂²×#534	1	1	yes	characteristic
872	C₂³	C₂²×#534	1	2	yes	—
873	C₂³	C₂²×#534	1	1	yes	characteristic
874	C₂³	C₂²×#534	1	2	yes	—
875	C₂³	C₂²×#534	1	1	yes	characteristic
876	C₂³	C₂²×#534	1	1	yes	characteristic
877	C₂³	C₂²×#534	1	2	yes	—
878	C₂³	C₂²×#534	1	1	yes	characteristic
879	C₂³	C₂²×#534	1	2	yes	—
880	C₂³	C₂²×#538	1	1	yes	characteristic
881	C₂³	C₂²×#538	1	1	yes	characteristic
882	C₂³	C₂²×#538	1	1	yes	characteristic
883	C₂³	C₂²×#538	1	1	yes	characteristic
884	C₂³	C₂²×#538	1	1	yes	characteristic
885	C₂³	C₂²×#538	1	1	yes	characteristic
886	C₂³	C₂²×#535	1	1	yes	characteristic
887	C₂³	C₂²×#535	1	1	yes	characteristic
888	C₂³	C₂²×#535	1	1	yes	characteristic
889	C₂³	C₂²×#535	1	2	yes	—
890	C₂³	C₂²×#560	1	1	yes	characteristic
891	C₂³	C₂²×#560	1	1	yes	characteristic
892	C₂³	C₂²×#560	1	1	yes	characteristic
893	C₂³	C₂²×H(3,𝔽₄)	1	1	yes	characteristic
894	C₂³	C₂²×D₄²	1	1	yes	characteristic
895	C₂³	C₂²×D₄²	1	1	yes	characteristic
896	C₂³	C₂²×D₄²	1	4	yes	—
897	C₂³	C₂²×#546	1	1	yes	characteristic
898	C₂³	C₂²×#546	1	1	yes	characteristic
899	C₂³	C₂²×#546	1	1	yes	characteristic
900	C₂³	C₂²×#546	1	1	yes	characteristic
901	C₂³	C₂²×#546	1	1	yes	characteristic
902	C₂³	C₂²×#546	1	1	yes	characteristic
903	C₂³	C₂²×#546	1	1	yes	characteristic
904	C₂³	C₂²×#546	1	1	yes	characteristic
905	C₂³	C₂²×#546	1	4	yes	—
906	C₂³	C₂²×#546	1	4	yes	—
907	C₂³	C₂²×#546	1	4	yes	—
908	C₂³	C₂²×#551	1	1	yes	characteristic
909	C₂³	C₂²×#551	1	1	yes	characteristic
910	C₂³	C₂×#3532	1	4	yes	—
911	C₂³	C₂×#3532	1	4	yes	—
912	C₂³	C₂×#3532	1	4	yes	—
913	C₂³	C₂×#3532	1	4	yes	—
914	C₂³	C₂×#3532	1	4	yes	—
915	C₂³	C₂×#3532	1	4	yes	—
916	C₂³	C₂×#3532	1	4	yes	—
917	C₂³	C₂×#3532	1	4	yes	—
918	C₂³	C₂×#3484	1	4	yes	—
919	C₂³	C₂×#3484	1	2	yes	—
920	C₂³	C₂×#3484	1	4	yes	—
921	C₂³	C₂×#3484	1	4	yes	—
922	C₂³	C₂×#3484	1	2	yes	—
923	C₂³	C₂×#3484	1	2	yes	—
924	C₂³	C₂×#3484	1	4	yes	—
925	C₂³	C₂×#3484	1	4	yes	—
926	C₂³	C₂×#3484	1	2	yes	—
927	C₂³	C₂×#3484	1	4	yes	—
928	C₂³	C₂×#3484	1	4	yes	—
929	C₂³	C₂×#3484	1	4	yes	—
930	C₂³	C₂×#3484	1	4	yes	—
931	C₂³	C₂×#3490	1	4	yes	—
932	C₂³	C₂×#3490	1	4	yes	—
933	C₂³	C₂×#3490	1	4	yes	—
934	C₂²	C₂×#16255	1	16	yes	—
935	C₂²	C₂×#16255	1	32	yes	complemented
936	C₂²	#612433	1	16	yes	—
937	C₂²	#612617	1	16	yes	—
938	C₂²	#635993	1	16	yes	—
939	C₂²	#636019	1	32	yes	—
940	C₂²	#636185	1	16	yes	—
941	C₂²	#639822	1	32	yes	—
942	C₂²	#759297	1	32	yes	—
943	C₂²	#845309	1	32	yes	—
944	C₂²	#845325	1	32	yes	—
945	C₂²	#845677	1	32	yes	—
946	C₂²	#845689	1	32	yes	—
947	C₂²	#845705	1	32	yes	—
948	C₂²	#845705	1	32	yes	—
949	C₂²	#846041	1	32	yes	—
950	C₂²	#846389	1	32	yes	—
951	C₂²	#4307937	1	16	yes	—
952	C₂²	#4308740	1	16	yes	—
953	C₂²	#4414082	1	32	yes	—
954	C₂²	C₂²×#2613	1	1	yes	characteristic
955	C₂²	C₂²×#2613	1	1	yes	characteristic
956	C₂²	C₂²×#2617	1	1	yes	characteristic
957	C₂²	C₂²×#2622	1	1	yes	characteristic
958	C₂²	C₂²×#2410	1	1	yes	characteristic
959	C₂²	C₂²×#2410	1	2	yes	—
960	C₂²	C₂²×#2405	1	1	yes	characteristic
961	C₂²	C₂²×#2405	1	2	yes	—
962	C₂²	C₂²×#2412	1	1	yes	characteristic
963	C₂²	C₂×#34980	1	2	yes	—
964	C₂²	C₂×#34980	1	1	yes	characteristic
965	C₂²	C₂×#34980	1	2	yes	—
966	C₂²	C₂×#34980	1	1	yes	characteristic
967	C₂²	C₂×#34980	1	2	yes	—
968	C₂²	C₂×#34980	1	2	yes	—
969	C₂²	C₂×#34980	1	2	yes	—
970	C₂²	C₂×#34980	1	2	yes	—
971	C₂²	C₂×#34981	1	2	yes	—
972	C₂²	C₂×#34992	1	2	yes	—
973	C₂²	C₂×#35222	1	2	yes	—
974	C₂²	C₂×#35222	1	2	yes	—
975	C₂²	C₂×D₄×#120	1	2	yes	—
976	C₂²	C₂×D₄×#120	1	2	yes	—
977	C₂²	C₂×#36152	1	2	yes	—
978	C₂²	C₂×#36152	1	2	yes	—
979	C₂²	C₂×#36152	1	2	yes	—
980	C₂²	C₂×#36152	1	2	yes	—
981	C₂²	C₂×#36152	1	2	yes	—
982	C₂²	C₂×#36152	1	2	yes	—
983	C₂²	C₂²×#2846	1	1	yes	characteristic
984	C₂²	C₂²×#2812	1	1	yes	characteristic
985	C₂²	C₂²×#2668	1	1	yes	characteristic
986	C₂²	C₂²×#2678	1	1	yes	characteristic
987	C₂²	C₂²×#2678	1	1	yes	characteristic
988	C₂²	C₂²×#2684	1	1	yes	characteristic
989	C₂²	C₂²×#2685	1	1	yes	characteristic
990	C₂²	C₂²×#2685	1	1	yes	characteristic
991	C₂²	C₂²×#2670	1	1	yes	characteristic
992	C₂²	C₂²×#2697	1	1	yes	characteristic
993	C₂²	C₂×#37436	1	2	yes	—
994	C₂²	C₂×#37436	1	2	yes	—
995	C₂²	C₂×#37436	1	2	yes	—
996	C₂²	C₂×#37436	1	2	yes	—
997	C₂²	C₂×#36702	1	2	yes	—
998	C₂²	C₂×#36714	1	2	yes	—
999	C₂²	C₂×#36703	1	2	yes	—
1000	C₂²	C₂×#36703	1	2	yes	—
1001	C₂²	C₂×#37644	1	4	yes	—
1002	C₂²	C₂×#37644	1	2	yes	—
1003	C₂²	C₂×#37660	1	4	yes	—
1004	C₂²	C₂×#37660	1	4	yes	—
1005	C₂²	C₂×#37660	1	4	yes	—
1006	C₂²	C₂×#37660	1	4	yes	—
1007	C₂²	C₂×#37660	1	4	yes	—
1008	C₂²	C₂×#37660	1	4	yes	—
1009	C₂²	C₂×#37645	1	2	yes	—
1010	C₂²	C₂×#37645	1	4	yes	—
1011	C₂²	C₂×#37832	1	2	yes	—
1012	C₂²	C₂×#37832	1	2	yes	—
1013	C₂²	C₂×#37832	1	2	yes	—
1014	C₂²	C₂×#37833	1	2	yes	—
1015	C₂²	C₂×#37833	1	2	yes	—
1016	C₂²	C₂×#37833	1	2	yes	—
1017	C₂²	C₂×#58991	1	4	yes	—
1018	C₂²	C₂×#58991	1	4	yes	—
1019	C₂²	C₂×#59006	1	4	yes	—
1020	C₂²	C₂×#59006	1	4	yes	—
1021	C₂²	C₂×#45438	1	4	yes	—
1022	C₂²	C₂×#45438	1	4	yes	—
1023	C₂²	C₂×#45438	1	4	yes	—
1024	C₂²	C₂×#45439	1	4	yes	—
1025	C₂	C₂×#846041	1	2	yes	—
1026	C₂	#72250304	1	32	yes	direct product factor
1027	C₂	C₂×#4307937	1	1	yes	characteristic
1028	C₂	C₂×#612433	1	1	yes	characteristic
1029	C₂	C₂×#635993	1	1	yes	characteristic
1030	C₂	C₂×#845309	1	2	yes	—
1031	C₂	C₂×#612617	1	1	yes	characteristic
1032	C₂	C₂×#845325	1	2	yes	—
1033	C₂	C₂×#845689	1	2	yes	—
1034	C₂	C₂×#636019	1	2	yes	—
1035	C₂	C₂×#759297	1	2	yes	—
1036	C₂	C₂×#4308740	1	1	yes	characteristic
1037	C₂	C₂×#636185	1	1	yes	characteristic
1038	C₂	C₂×#639822	1	2	yes	—
1039	C₂	C₂×#4414082	1	2	yes	—
1040	C₂	C₂²×#16255	1	1	yes	characteristic
1041	C₂	C₂×#845705	1	2	yes	—
1042	C₂	C₂×#845705	1	2	yes	—
1043	C₂	C₂×#845677	1	2	yes	—
1044	C₂	C₂×#846389	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁶	C₂⁵
commutator, Frattini, cosocle	C₂⁵	C₂⁶
prime radical	C₂⁵×#120	C₂
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. C₂²×#14727	C₂	semidirect
2. C₂²×#16255	C₂	semidirect
3. C₂×#154096	C₂	semidirect
4. C₂×#154194	C₂	semidirect
5. C₂×#154194	C₂	semidirect
6. C₂×#154194	C₂	semidirect
7. C₂×#154200	C₂	semidirect
8. C₂²×#14724	C₂	semidirect
9. C₂²×#14724	C₂	semidirect
10. C₂×#155622	C₂	semidirect
11. C₂×#156688	C₂	semidirect
12. C₂×#156688	C₂	semidirect
13. C₂×#154094	C₂	semidirect
14. C₂×#154094	C₂	semidirect
15. C₂×#154094	C₂	semidirect
16. C₂×#154094	C₂	semidirect
18. #72250304	C₂	direct (N × H)
19. C₂²×#14679	C₂	semidirect
20. C₂²×#14679	C₂	semidirect
31. C₂³×#397	C₂²	semidirect
32. C₂³×#394	C₂²	semidirect
33. C₂³×#394	C₂²	semidirect
34. C₂³×#394	C₂²	semidirect
35. C₂³×#385	C₂²	semidirect
36. C₂³×#385	C₂²	semidirect
49. C₂³×#379	C₂²	semidirect
50. C₂³×#379	C₂²	semidirect
51. C₂³×#379	C₂²	semidirect
52. C₂³×#379	C₂²	semidirect
53. C₂³×#379	C₂²	semidirect
54. C₂³×#379	C₂²	semidirect
55. C₂³×#379	C₂²	semidirect
56. C₂³×#379	C₂²	semidirect
57. C₂³×#379	C₂²	semidirect
58. C₂³×#379	C₂²	semidirect
59. C₂×#16255	C₂²	semidirect
60. C₂×#14727	C₂²	semidirect
61. C₂×#14724	C₂²	semidirect
62. C₂×#14724	C₂²	semidirect
63. C₂×#14679	C₂²	semidirect
64. C₂×#14679	C₂²	semidirect
65. C₂²×#1440	C₂²	semidirect
66. C₂²×#1440	C₂²	semidirect
67. C₂²×#1440	C₂²	semidirect
68. C₂²×#1440	C₂²	semidirect
69. C₂²×#1439	C₂²	semidirect
70. C₂²×#1439	C₂²	semidirect
71. C₂²×#1439	C₂²	semidirect
72. C₂²×#1439	C₂²	semidirect
73. C₂²×#1438	C₂²	semidirect
74. C₂²×#1438	C₂²	semidirect
75. C₂²×#1438	C₂²	semidirect
76. C₂²×#1438	C₂²	semidirect
77. C₂²×#1438	C₂²	semidirect
78. C₂²×#1438	C₂²	semidirect
79. C₂²×#1438	C₂²	semidirect
80. C₂²×#1438	C₂²	semidirect
81. C₂²×#1438	C₂²	semidirect
82. C₂²×#1438	C₂²	semidirect
83. C₂²×#1438	C₂²	semidirect
84. C₂²×C₂²⋊#95	C₂²	semidirect
85. C₂²×C₂²⋊#95	C₂²	semidirect
86. C₂²×C₂²⋊#95	C₂²	semidirect
87. C₂²×C₂²⋊#95	C₂²	semidirect
88. C₂²×C₂²⋊#95	C₂²	semidirect
89. C₂²×C₂²⋊#95	C₂²	semidirect
90. C₂²×C₂²⋊#95	C₂²	semidirect
91. C₂²×C₂²⋊#95	C₂²	semidirect
92. C₂²×C₂²⋊#95	C₂²	semidirect
93. C₂²×C₂²⋊#95	C₂²	semidirect
94. #156688	C₂²	semidirect
95. #156688	C₂²	semidirect
96. #155622	C₂²	semidirect
97. #154200	C₂²	semidirect
98. #154194	C₂²	semidirect
99. #154194	C₂²	semidirect
100. #154194	C₂²	semidirect
101. #154096	C₂²	semidirect
102. #154094	C₂²	semidirect
103. #154094	C₂²	semidirect
104. #154094	C₂²	semidirect
105. #154094	C₂²	semidirect
106. C₂×#7555	C₂²	semidirect
107. C₂×#7555	C₂²	semidirect
108. C₂×#7555	C₂²	semidirect
109. C₂×#7555	C₂²	semidirect
110. C₂×#7555	C₂²	semidirect
133. C₂⁴×C₄⋊C₄	C₂³	semidirect
134. C₂⁴×C₄⋊C₄	C₂³	semidirect
173. C₂⁴×C₂²⋊C₄	C₂³	semidirect
174. C₂⁴×C₂²⋊C₄	C₂³	semidirect
175. C₂⁴×C₂²⋊C₄	C₂³	semidirect
176. C₂⁴×C₂²⋊C₄	C₂³	semidirect
177. C₂⁴×C₂²⋊C₄	C₂³	semidirect
178. C₂⁴×C₂²⋊C₄	C₂³	semidirect
179. C₂²×#397	C₂³	semidirect
180. C₂²×#394	C₂³	semidirect
181. C₂²×#394	C₂³	semidirect
182. C₂²×#394	C₂³	semidirect
183. C₂²×#385	C₂³	semidirect
184. C₂²×#385	C₂³	semidirect
185. C₂²×#379	D₄	semidirect
198. C₂²×#379	C₂³	semidirect
199. C₂²×#379	C₂³	semidirect
200. C₂²×#379	C₂³	semidirect
201. C₂²×#379	C₂³	semidirect
202. C₂²×#379	C₂³	semidirect
203. C₂²×#379	C₂³	semidirect
204. C₂²×#379	C₂³	semidirect
205. C₂²×#379	C₂³	semidirect
206. C₂²×#379	C₂³	semidirect
207. C₂²×#379	C₂³	semidirect
208. C₂³×#95	C₂³	semidirect
209. C₂³×#95	C₂³	semidirect
210. C₂³×#95	C₂³	semidirect
211. C₂³×#95	C₂³	semidirect
212. C₂³×#95	C₂³	semidirect
213. C₂³×#95	C₂³	semidirect
214. C₂³×#95	C₂³	semidirect
215. C₂³×#95	C₂³	semidirect
216. C₂³×#95	C₂³	semidirect
217. C₂³×#95	C₂³	semidirect
218. C₂³×#95	C₂³	semidirect
219. C₂³×#95	C₂³	semidirect
220. C₂³×#95	C₂³	semidirect
221. C₂³×#95	C₂³	semidirect
222. C₂³×#95	C₂³	semidirect
223. C₂³×#95	C₂³	semidirect
224. C₂×#1440	C₂³	semidirect
225. C₂×#1440	C₂³	semidirect
226. C₂×#1440	C₂³	semidirect
227. C₂×#1440	C₂³	semidirect
228. C₂×#1439	C₂³	semidirect
229. C₂×#1439	C₂³	semidirect
230. C₂×#1439	C₂³	semidirect
231. C₂×#1439	C₂³	semidirect
232. C₂×#1438	C₂³	semidirect
233. C₂×#1438	C₂³	semidirect
234. C₂×#1438	C₂³	semidirect
235. C₂×#1438	C₂³	semidirect
236. C₂×#1438	C₂³	semidirect
237. C₂×#1438	C₂³	semidirect
238. C₂×#1438	C₂³	semidirect
239. C₂×#1438	C₂³	semidirect
240. C₂×#1438	C₂³	semidirect
241. C₂×#1438	C₂³	semidirect
242. C₂×#1438	C₂³	semidirect
243. C₂×C₂²⋊#95	C₂³	semidirect
244. C₂×C₂²⋊#95	C₂³	semidirect
245. C₂×C₂²⋊#95	C₂³	semidirect
246. C₂×C₂²⋊#95	C₂³	semidirect
247. C₂×C₂²⋊#95	C₂³	semidirect
248. C₂×C₂²⋊#95	C₂³	semidirect
249. C₂×C₂²⋊#95	C₂³	semidirect
250. C₂×C₂²⋊#95	C₂³	semidirect
251. C₂×C₂²⋊#95	C₂³	semidirect
252. C₂×C₂²⋊#95	C₂³	semidirect
253. #7555	C₂³	semidirect
254. #7555	C₂³	semidirect
255. #7555	C₂³	semidirect
256. #7555	C₂³	semidirect
257. #7555	C₂³	semidirect
314. C₂³×C₄⋊C₄	C₂⁴	semidirect
315. C₂³×C₄⋊C₄	C₂⁴	semidirect
324. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
359. C₂³×C₂²⋊C₄	C₂⁴	semidirect
360. C₂³×C₂²⋊C₄	C₂⁴	semidirect
361. C₂³×C₂²⋊C₄	C₂⁴	semidirect
362. C₂³×C₂²⋊C₄	C₂⁴	semidirect
363. C₂³×C₂²⋊C₄	C₂⁴	semidirect
364. C₂³×C₂²⋊C₄	C₂⁴	semidirect
365. C₂×#379	C₂×D₄	semidirect
366. C₂²×#95	C₂⁴	semidirect
367. C₂²×#95	C₂⁴	semidirect
368. C₂²×#95	C₂⁴	semidirect
369. C₂²×#95	C₂⁴	semidirect
370. C₂²×#95	C₂⁴	semidirect
371. C₂²×#95	C₂⁴	semidirect
372. C₂²×#95	C₂⁴	semidirect
373. C₂²×#95	C₂⁴	semidirect
374. C₂²×#95	C₂⁴	semidirect
375. C₂²×#95	C₂⁴	semidirect
376. C₂²×#95	C₂⁴	semidirect
377. C₂²×#95	C₂⁴	semidirect
378. C₂²×#95	C₂⁴	semidirect
379. C₂²×#95	C₂⁴	semidirect
380. C₂²×#95	C₂⁴	semidirect
381. C₂²×#95	C₂⁴	semidirect
479. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
772. C₂³	#16255	semidirect
935. C₂²	C₂×#16255	semidirect
1026. C₂	#72250304	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#14727	2
C₂²×#16255	2
C₂×#154096	2
C₂×#154194	2
C₂×#154200	2
C₂²×#14724	2
C₂×#155622	2
C₂×#156688	2
C₂×#154094	2
C₂⁵×#120	2
#72250304	2
C₂²×#14679	2

Subgroups — C2×#72250304 #72334754

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72250304 #72334754