Subgroups — C₂×#72251015 #72289569

Order 2048.

At least 6764 conjugacy classes of subgroups; only the 26232 normal subgroups are shown.

The subgroup lattice has 996 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×#153749	C₂	1	2	yes	maximal, complemented
2	C₂×#154095	C₂	1	2	yes	maximal, complemented
3	C₂×#153851	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#153851	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂³×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#154671	C₂	1	4	yes	maximal, complemented
7	C₂×#154670	C₂	1	4	yes	maximal, complemented
8	C₂²×#13967	C₂	1	4	yes	maximal, complemented
9	C₂×#154094	C₂	1	2	yes	maximal, complemented
10	C₂×#154195	C₂	1	4	yes	maximal, complemented
11	C₂⁴×#379	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂⁵×#120	C₂	1	1	yes	maximal, characteristic
13	#72251015	C₂	1	32	yes	maximal, direct product factor
14	C₂²×#13867	C₂	1	2	yes	maximal, complemented
15	C₂²×#13867	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#14679	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂⁹	C₂²	1	1	yes	characteristic
18	C₂⁶×D₄	C₂²	1	2	yes	—
19	C₂⁶×D₄	C₂²	1	1	yes	characteristic
20	C₂⁴×#120	C₄	1	32	yes	complemented
21	C₂⁴×#120	C₂²	1	16	yes	—
22	C₂⁴×#120	C₂²	1	2	yes	—
23	C₂⁴×#120	C₂²	1	2	yes	—
24	C₂⁴×#120	C₂²	1	2	yes	—
25	C₂⁴×#120	C₂²	1	2	yes	—
26	C₂⁴×C₄×D₄	C₂²	1	2	yes	complemented
27	C₂⁵×C₂²⋊C₄	C₂²	1	2	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	C₂⁵×C₂²⋊C₄	C₂²	1	4	yes	complemented
32	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×C₂²⋊C₄	C₂²	1	16	yes	complemented
34	C₂³×#390	C₂²	1	2	yes	complemented
35	C₂³×#386	C₂²	1	2	yes	complemented
36	C₂³×#386	C₂²	1	2	yes	complemented
37	C₂³×#386	C₂²	1	2	yes	complemented
38	C₂³×#386	C₂²	1	2	yes	complemented
39	C₂³×#386	C₂²	1	8	yes	complemented
40	C₂³×#380	C₂²	1	1	yes	characteristic, complemented
41	C₂³×#379	C₂²	1	2	yes	—
42	C₂³×#379	C₂²	1	1	yes	characteristic
43	C₂³×#379	C₂²	1	2	yes	—
44	C₂³×#379	C₂²	1	2	yes	—
45	C₂³×#379	C₂²	1	1	yes	characteristic
46	C₂³×#379	C₂²	1	2	yes	—
47	C₂³×#379	C₂²	1	4	yes	complemented
48	C₂³×#379	C₂²	1	4	yes	complemented
49	C₂³×#379	C₂²	1	4	yes	complemented
50	C₂³×#379	C₂²	1	16	yes	complemented
51	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
52	C₂³×#379	C₂²	1	2	yes	complemented
53	C₂³×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14679	C₂²	1	16	yes	complemented
55	C₂×#13967	C₂²	1	64	yes	complemented
56	C₂×#13867	C₂²	1	16	yes	complemented
57	C₂×#13867	C₂²	1	32	yes	complemented
58	C₂²×#1439	C₂²	1	8	yes	complemented
59	C₂²×#1438	C₂²	1	2	yes	complemented
60	C₂²×#1438	C₂²	1	8	yes	complemented
61	C₂²×#1438	C₂²	1	2	yes	complemented
62	C₂²×#1438	C₂²	1	8	yes	complemented
63	C₂²×#1438	C₂²	1	8	yes	complemented
64	C₂²×#1437	C₂²	1	8	yes	complemented
65	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
66	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
67	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
68	C₂²×C₂²⋊#95	C₂²	1	4	yes	complemented
69	C₂²×C₂²⋊#95	C₂²	1	4	yes	complemented
70	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
71	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
72	#154671	C₂²	1	64	yes	complemented
73	#154670	C₂²	1	64	yes	complemented
74	#154195	C₂²	1	64	yes	complemented
75	#154095	C₂²	1	32	yes	complemented
76	#154094	C₂²	1	32	yes	complemented
77	#153851	C₂²	1	16	yes	complemented
78	#153851	C₂²	1	16	yes	complemented
79	#153749	C₂²	1	32	yes	complemented
80	C₂×#7555	C₂²	1	8	yes	complemented
81	C₂×#7555	C₂²	1	8	yes	complemented
82	C₂×#7555	C₂²	1	4	yes	complemented
83	C₂×#7555	C₂²	1	4	yes	complemented
84	C₂⁸	C₂×C₄	1	16	yes	complemented
85	C₂⁸	C₂³	1	2	yes	—
86	C₂⁸	C₂³	1	2	yes	—
87	C₂⁸	C₂³	1	2	yes	—
88	C₂⁸	C₂³	1	1	yes	characteristic
89	C₂⁸	C₂³	1	1	yes	characteristic
90	C₂⁸	C₂³	1	8	yes	—
91	C₂⁵×D₄	C₂×C₄	1	16	yes	—
92	C₂⁵×D₄	C₂×C₄	1	32	yes	complemented
93	C₂⁵×D₄	D₄	1	16	yes	—
94	C₂⁵×D₄	D₄	1	16	yes	—
95	C₂⁵×D₄	C₂³	1	1	yes	characteristic
96	C₂⁵×D₄	C₂³	1	4	yes	—
97	C₂⁵×D₄	C₂³	1	16	yes	—
98	C₂⁵×D₄	C₂³	1	1	yes	characteristic
99	C₂⁵×D₄	C₂³	1	4	yes	—
100	C₂⁵×D₄	C₂³	1	1	yes	characteristic
101	C₂⁵×D₄	C₂³	1	8	yes	—
102	C₂⁵×D₄	C₂³	1	1	yes	characteristic
103	C₂⁶×C₄	C₂³	1	2	yes	—
104	C₂⁶×C₄	C₂³	1	2	yes	—
105	C₂⁶×C₄	C₂³	1	2	yes	—
106	C₂⁶×C₄	C₂³	1	1	yes	characteristic
107	C₂⁶×C₄	C₂³	1	2	yes	complemented
108	C₂³×#120	C₂×C₄	1	32	yes	—
109	C₂³×#120	C₂×C₄	1	32	yes	complemented
110	C₂³×#120	C₂×C₄	1	32	yes	complemented
111	C₂³×#120	C₂×C₄	1	32	yes	complemented
112	C₂³×#120	C₂×C₄	1	256	yes	complemented
113	C₂³×#120	D₄	1	64	yes	—
114	C₂³×#120	C₂³	1	16	yes	—
115	C₂³×#120	C₂³	1	16	yes	—
116	C₂³×#120	C₂³	1	16	yes	—
117	C₂³×#120	C₂³	1	16	yes	—
118	C₂³×C₄×D₄	C₂³	1	16	yes	complemented
119	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	complemented
120	C₂⁴×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
121	C₂⁴×C₂²⋊C₄	C₂×C₄	1	32	yes	complemented
122	C₂⁴×C₂²⋊C₄	D₄	1	16	yes	complemented
123	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
124	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
125	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
126	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
127	C₂⁴×C₂²⋊C₄	C₂³	1	16	yes	—
128	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
129	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
130	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
131	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
132	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
133	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
134	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
135	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
136	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
137	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
138	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
139	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
140	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
141	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
142	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
143	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
144	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
145	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
146	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
147	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
148	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
149	C₂⁴×C₂²⋊C₄	C₂³	1	32	yes	complemented
150	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
151	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
152	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
153	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	complemented
154	C₂⁴×C₄²	C₂³	1	2	yes	complemented
155	C₂²×#390	C₂³	1	16	yes	complemented
156	C₂²×#386	C₂³	1	16	yes	complemented
157	C₂²×#386	C₂³	1	16	yes	complemented
158	C₂²×#386	C₂³	1	16	yes	complemented
159	C₂²×#386	C₂³	1	16	yes	complemented
160	C₂²×#386	C₂³	1	64	yes	complemented
161	C₂²×#380	C₂³	1	8	yes	complemented
162	C₂²×#379	D₄	1	32	yes	complemented
163	C₂²×#379	D₄	1	16	yes	complemented
164	C₂²×#379	C₂³	1	16	yes	—
165	C₂²×#379	C₂³	1	8	yes	—
166	C₂²×#379	C₂³	1	16	yes	—
167	C₂²×#379	C₂³	1	16	yes	—
168	C₂²×#379	C₂³	1	16	yes	—
169	C₂²×#379	C₂³	1	8	yes	—
170	C₂²×#379	C₂³	1	32	yes	complemented
171	C₂²×#379	C₂³	1	32	yes	complemented
172	C₂²×#379	C₂³	1	32	yes	complemented
173	C₂²×#379	C₂³	1	8	yes	complemented
174	C₂²×#379	C₂³	1	16	yes	complemented
175	C₂²×C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
176	C₂³×#95	C₂³	1	2	yes	complemented
177	C₂³×#95	C₂³	1	2	yes	complemented
178	C₂³×#95	C₂³	1	4	yes	complemented
179	C₂³×#95	C₂³	1	8	yes	complemented
180	C₂³×#95	C₂³	1	8	yes	complemented
181	C₂³×#95	C₂³	1	4	yes	complemented
182	C₂³×#95	C₂³	1	8	yes	complemented
183	C₂³×#95	C₂³	1	8	yes	complemented
184	C₂×#1439	C₂³	1	64	yes	complemented
185	C₂×#1438	C₂³	1	16	yes	complemented
186	C₂×#1438	C₂³	1	64	yes	complemented
187	C₂×#1438	C₂³	1	16	yes	complemented
188	C₂×#1438	C₂³	1	64	yes	complemented
189	C₂×#1438	C₂³	1	64	yes	complemented
190	C₂×#1437	C₂³	1	64	yes	complemented
191	C₂×C₂²⋊#95	C₂³	1	32	yes	complemented
192	C₂×C₂²⋊#95	C₂³	1	32	yes	complemented
193	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
194	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
195	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
196	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
197	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
198	#7555	C₂³	1	32	yes	complemented
199	#7555	C₂³	1	32	yes	complemented
200	#7555	C₂³	1	64	yes	complemented
201	#7555	C₂³	1	64	yes	complemented
202	C₂⁷	C₂²×C₄	1	16	yes	—
203	C₂⁷	C₂²×C₄	1	16	yes	—
204	C₂⁷	C₂²×C₄	1	16	yes	—
205	C₂⁷	C₂²×C₄	1	8	yes	—
206	C₂⁷	C₂²×C₄	1	8	yes	—
207	C₂⁷	C₂²×C₄	1	64	yes	complemented
208	C₂⁷	C₂×D₄	1	32	yes	—
209	C₂⁷	C₂×D₄	1	16	yes	—
210	C₂⁷	C₂×D₄	1	8	yes	—
211	C₂⁷	C₂×D₄	1	8	yes	—
212	C₂⁷	C₂×D₄	1	8	yes	—
213	C₂⁷	C₂×D₄	1	8	yes	—
214	C₂⁷	C₂×D₄	1	8	yes	—
215	C₂⁷	C₂×D₄	1	8	yes	—
216	C₂⁷	#41	1	16	yes	—
217	C₂⁷	#41	1	8	yes	—
218	C₂⁷	#41	1	8	yes	—
219	C₂⁷	C₂⁴	1	1	yes	characteristic
220	C₂⁷	C₂⁴	1	1	yes	characteristic
221	C₂⁷	C₂⁴	1	1	yes	characteristic
222	C₂⁷	C₂⁴	1	4	yes	—
223	C₂⁷	C₂⁴	1	8	yes	—
224	C₂⁷	C₂⁴	1	8	yes	—
225	C₂⁷	C₂⁴	1	8	yes	—
226	C₂⁷	C₂⁴	1	4	yes	—
227	C₂⁷	C₂⁴	1	4	yes	—
228	C₂⁷	C₂⁴	1	1	yes	characteristic
229	C₂⁷	C₂⁴	1	1	yes	characteristic
230	C₂⁴×D₄	C₂²⋊C₄	1	256	yes	complemented
231	C₂⁴×D₄	C₂²×C₄	1	8	yes	—
232	C₂⁴×D₄	C₂²×C₄	1	32	yes	—
233	C₂⁴×D₄	C₂²×C₄	1	8	yes	—
234	C₂⁴×D₄	C₂²×C₄	1	64	yes	—
235	C₂⁴×D₄	C₂²×C₄	1	8	yes	—
236	C₂⁴×D₄	C₂²×C₄	1	32	yes	—
237	C₂⁴×D₄	C₂²×C₄	1	8	yes	—
238	C₂⁴×D₄	C₂²×C₄	1	128	yes	complemented
239	C₂⁴×D₄	C₂×D₄	1	8	yes	—
240	C₂⁴×D₄	C₂×D₄	1	8	yes	—
241	C₂⁴×D₄	C₂×D₄	1	8	yes	—
242	C₂⁴×D₄	C₂×D₄	1	8	yes	—
243	C₂⁴×D₄	C₂×D₄	1	64	yes	—
244	C₂⁴×D₄	C₂×D₄	1	64	yes	—
245	C₂⁴×D₄	C₂×D₄	1	64	yes	—
246	C₂⁴×D₄	C₂×D₄	1	8	yes	—
247	C₂⁴×D₄	C₂×D₄	1	8	yes	—
248	C₂⁴×D₄	C₂×D₄	1	32	yes	—
249	C₂⁴×D₄	C₂×D₄	1	8	yes	—
250	C₂⁴×D₄	C₂×D₄	1	8	yes	—
251	C₂⁴×D₄	C₂⁴	1	4	yes	—
252	C₂⁴×D₄	C₂⁴	1	16	yes	—
253	C₂⁴×D₄	C₂⁴	1	4	yes	—
254	C₂⁴×D₄	C₂⁴	1	16	yes	—
255	C₂⁴×D₄	C₂⁴	1	4	yes	—
256	C₂⁴×D₄	C₂⁴	1	4	yes	—
257	C₂⁵×C₄	C₂²×C₄	1	16	yes	—
258	C₂⁵×C₄	C₂²×C₄	1	8	yes	—
259	C₂⁵×C₄	C₂×D₄	1	8	yes	—
260	C₂⁵×C₄	C₂×D₄	1	8	yes	—
261	C₂⁵×C₄	C₂×D₄	1	16	yes	complemented
262	C₂⁵×C₄	C₂⁴	1	4	yes	—
263	C₂⁵×C₄	C₂⁴	1	2	yes	—
264	C₂⁵×C₄	C₂⁴	1	4	yes	—
265	C₂⁵×C₄	C₂⁴	1	2	yes	—
266	C₂⁵×C₄	C₂⁴	1	2	yes	—
267	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
268	C₂⁵×C₄	C₂⁴	1	4	yes	—
269	C₂⁵×C₄	C₂⁴	1	2	yes	—
270	C₂⁵×C₄	C₂⁴	1	8	yes	—
271	C₂⁵×C₄	C₂⁴	1	8	yes	—
272	C₂⁵×C₄	C₂⁴	1	8	yes	—
273	C₂⁵×C₄	C₂⁴	1	4	yes	—
274	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
275	C₂⁵×C₄	C₂⁴	1	8	yes	complemented
276	C₂²×#120	C₂²⋊C₄	1	512	yes	complemented
277	C₂²×#120	C₂²×C₄	1	128	yes	—
278	C₂²×#120	C₂²×C₄	1	128	yes	complemented
279	C₂²×#120	C₂²×C₄	1	128	yes	complemented
280	C₂²×#120	C₂²×C₄	1	128	yes	complemented
281	C₂²×#120	C₂×D₄	1	256	yes	—
282	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	complemented
283	C₂³×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
284	C₂³×C₂²⋊C₄	C₂²×C₄	1	32	yes	—
285	C₂³×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
286	C₂³×C₂²⋊C₄	C₂²×C₄	1	32	yes	—
287	C₂³×C₂²⋊C₄	C₂²×C₄	1	64	yes	complemented
288	C₂³×C₂²⋊C₄	C₂²×C₄	1	128	yes	complemented
289	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
290	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
291	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
292	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
293	C₂³×C₂²⋊C₄	C₂×D₄	1	64	yes	—
294	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	—
295	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
296	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
297	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
298	C₂³×C₂²⋊C₄	C₂×D₄	1	64	yes	complemented
299	C₂³×C₂²⋊C₄	C₂×D₄	1	64	yes	complemented
300	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
301	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
302	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
303	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
304	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
305	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
306	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
307	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
308	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
309	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
310	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
311	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
312	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
313	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
314	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
315	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
316	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
317	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
318	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
319	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
320	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
321	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
322	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
323	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
324	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
325	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
326	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	complemented
327	C₂³×C₄²	C₂⁴	1	8	yes	complemented
328	C₂×#379	C₂×D₄	1	128	yes	complemented
329	C₂×#379	C₂×D₄	1	64	yes	complemented
330	C₂²×#95	C₂⁴	1	16	yes	complemented
331	C₂²×#95	C₂⁴	1	8	yes	complemented
332	C₂²×#95	C₂⁴	1	8	yes	complemented
333	C₂²×#95	C₂⁴	1	32	yes	complemented
334	C₂²×#95	C₂⁴	1	32	yes	complemented
335	C₂²×#95	C₂⁴	1	32	yes	complemented
336	C₂²×#95	C₂⁴	1	32	yes	complemented
337	C₂²×#95	C₂⁴	1	16	yes	complemented
338	C₂⁶	C₂×C₂²⋊C₄	1	64	yes	—
339	C₂⁶	C₂×C₂²⋊C₄	1	128	yes	complemented
340	C₂⁶	C₂×C₂²⋊C₄	1	64	yes	complemented
341	C₂⁶	C₄×D₄	1	64	yes	—
342	C₂⁶	C₄×D₄	1	64	yes	—
343	C₂⁶	C₄×D₄	1	128	yes	complemented
344	C₂⁶	#120	1	64	yes	—
345	C₂⁶	#121	1	64	yes	—
346	C₂⁶	#121	1	64	yes	—
347	C₂⁶	#123	1	64	yes	—
348	C₂⁶	C₂³×C₄	1	4	yes	—
349	C₂⁶	C₂³×C₄	1	4	yes	—
350	C₂⁶	C₂³×C₄	1	4	yes	—
351	C₂⁶	C₂³×C₄	1	16	yes	—
352	C₂⁶	C₂³×C₄	1	32	yes	—
353	C₂⁶	C₂³×C₄	1	32	yes	—
354	C₂⁶	C₂³×C₄	1	32	yes	—
355	C₂⁶	C₂³×C₄	1	16	yes	—
356	C₂⁶	C₂³×C₄	1	16	yes	—
357	C₂⁶	C₂³×C₄	1	4	yes	—
358	C₂⁶	C₂³×C₄	1	4	yes	—
359	C₂⁶	C₂²×D₄	1	4	yes	—
360	C₂⁶	C₂²×D₄	1	4	yes	—
361	C₂⁶	C₂²×D₄	1	4	yes	—
362	C₂⁶	C₂²×D₄	1	16	yes	—
363	C₂⁶	C₂²×D₄	1	4	yes	—
364	C₂⁶	C₂²×D₄	1	4	yes	—
365	C₂⁶	C₂²×D₄	1	4	yes	—
366	C₂⁶	C₂²×D₄	1	32	yes	—
367	C₂⁶	C₂²×D₄	1	4	yes	—
368	C₂⁶	C₂²×D₄	1	4	yes	—
369	C₂⁶	C₂²×D₄	1	16	yes	—
370	C₂⁶	C₂²×D₄	1	64	yes	—
371	C₂⁶	C₂²×D₄	1	32	yes	—
372	C₂⁶	C₂²×D₄	1	16	yes	—
373	C₂⁶	C₂²×D₄	1	16	yes	—
374	C₂⁶	C₂²×D₄	1	16	yes	—
375	C₂⁶	C₂²×D₄	1	16	yes	—
376	C₂⁶	C₂²×D₄	1	16	yes	—
377	C₂⁶	C₂²×D₄	1	16	yes	—
378	C₂⁶	C₂²×D₄	1	4	yes	—
379	C₂⁶	C₂²×D₄	1	4	yes	—
380	C₂⁶	C₂²×D₄	1	16	yes	—
381	C₂⁶	C₂²×D₄	1	4	yes	—
382	C₂⁶	C₂²×D₄	1	4	yes	—
383	C₂⁶	C₂²×D₄	1	4	yes	—
384	C₂⁶	C₂²×D₄	1	4	yes	—
385	C₂⁶	C₂²×D₄	1	4	yes	—
386	C₂⁶	C₂²×D₄	1	4	yes	—
387	C₂⁶	C₂²×D₄	1	8	yes	—
388	C₂⁶	C₂×#41	1	4	yes	—
389	C₂⁶	C₂×#41	1	4	yes	—
390	C₂⁶	C₂×#41	1	16	yes	—
391	C₂⁶	C₂×#41	1	32	yes	—
392	C₂⁶	C₂×#41	1	16	yes	—
393	C₂⁶	C₂×#41	1	16	yes	—
394	C₂⁶	C₂×#41	1	4	yes	—
395	C₂⁶	C₂×#41	1	4	yes	—
396	C₂⁶	C₂×#41	1	4	yes	—
397	C₂⁶	C₂×#41	1	4	yes	—
398	C₂⁶	C₂×#41	1	8	yes	—
399	C₂⁶	H(5,𝔽₂)	1	32	yes	—
400	C₂⁶	H(5,𝔽₂)	1	16	yes	—
401	C₂⁶	H(5,𝔽₂)	1	8	yes	—
402	C₂⁶	H(5,𝔽₂)	1	8	yes	—
403	C₂⁶	C₂⁵	1	2	yes	—
404	C₂⁶	C₂⁵	1	2	yes	—
405	C₂⁶	C₂⁵	1	2	yes	—
406	C₂⁶	C₂⁵	1	8	yes	—
407	C₂⁶	C₂⁵	1	2	yes	—
408	C₂⁶	C₂⁵	1	2	yes	—
409	C₂⁶	C₂⁵	1	1	yes	characteristic
410	C₂³×D₄	C₂×C₂²⋊C₄	1	64	yes	—
411	C₂³×D₄	C₂×C₂²⋊C₄	1	128	yes	—
412	C₂³×D₄	C₂×C₂²⋊C₄	1	64	yes	—
413	C₂³×D₄	C₂×C₂²⋊C₄	1	256	yes	complemented
414	C₂³×D₄	C₂×C₂²⋊C₄	1	64	yes	complemented
415	C₂³×D₄	C₂×C₂²⋊C₄	1	64	yes	complemented
416	C₂³×D₄	C₂×C₂²⋊C₄	1	512	yes	complemented
417	C₂³×D₄	#120	1	128	yes	—
418	C₂³×D₄	#120	1	128	yes	—
419	C₂³×D₄	C₂³×C₄	1	16	yes	—
420	C₂³×D₄	C₂³×C₄	1	64	yes	—
421	C₂³×D₄	C₂³×C₄	1	16	yes	—
422	C₂³×D₄	C₂³×C₄	1	16	yes	—
423	C₂³×D₄	C₂³×C₄	1	64	yes	—
424	C₂³×D₄	C₂³×C₄	1	16	yes	—
425	C₂³×D₄	C₂²×D₄	1	16	yes	—
426	C₂³×D₄	C₂²×D₄	1	16	yes	—
427	C₂³×D₄	C₂²×D₄	1	128	yes	—
428	C₂³×D₄	C₂²×D₄	1	16	yes	—
429	C₂³×D₄	C₂²×D₄	1	16	yes	—
430	C₂³×D₄	C₂²×D₄	1	16	yes	—
431	C₂³×D₄	C₂²×D₄	1	16	yes	—
432	C₂³×D₄	C₂²×D₄	1	64	yes	—
433	C₂³×D₄	C₂²×D₄	1	16	yes	—
434	C₂³×D₄	C₂²×D₄	1	16	yes	—
435	C₂⁴×C₄	C₂×C₂²⋊C₄	1	64	yes	complemented
436	C₂⁴×C₄	C₂³×C₄	1	4	yes	—
437	C₂⁴×C₄	C₂³×C₄	1	16	yes	—
438	C₂⁴×C₄	C₂³×C₄	1	32	yes	—
439	C₂⁴×C₄	C₂³×C₄	1	16	yes	—
440	C₂⁴×C₄	C₂³×C₄	1	4	yes	—
441	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
442	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
443	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
444	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
445	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
446	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
447	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
448	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
449	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
450	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
451	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
452	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
453	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
454	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
455	C₂⁴×C₄	C₂²×D₄	1	32	yes	complemented
456	C₂⁴×C₄	C₂⁵	1	8	yes	—
457	C₂⁴×C₄	C₂⁵	1	4	yes	—
458	C₂⁴×C₄	C₂⁵	1	8	yes	—
459	C₂⁴×C₄	C₂⁵	1	4	yes	—
460	C₂⁴×C₄	C₂⁵	1	4	yes	—
461	C₂⁴×C₄	C₂⁵	1	2	yes	—
462	C₂⁴×C₄	C₂⁵	1	8	yes	—
463	C₂⁴×C₄	C₂⁵	1	4	yes	—
464	C₂⁴×C₄	C₂⁵	1	2	yes	—
465	C₂×#120	C₂×C₂²⋊C₄	1	1024	yes	complemented
466	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	128	yes	complemented
467	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	256	yes	complemented
468	C₂²×C₂²⋊C₄	#120	1	64	yes	complemented
469	C₂²×C₂²⋊C₄	C₂³×C₄	1	32	yes	—
470	C₂²×C₂²⋊C₄	C₂³×C₄	1	64	yes	—
471	C₂²×C₂²⋊C₄	C₂³×C₄	1	32	yes	—
472	C₂²×C₂²⋊C₄	C₂³×C₄	1	64	yes	—
473	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
474	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	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	128	yes	—
479	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
480	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
481	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
482	C₂²×C₂²⋊C₄	C₂²×D₄	1	128	yes	complemented
483	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
484	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
485	C₂⁵	#386	1	512	yes	complemented
486	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
487	C₂⁵	C₂²×C₂²⋊C₄	1	64	yes	—
488	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
489	C₂⁵	C₂²×C₂²⋊C₄	1	32	yes	—
490	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
491	C₂⁵	C₂²×C₂²⋊C₄	1	64	yes	—
492	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
493	C₂⁵	C₂²×C₂²⋊C₄	1	32	yes	—
494	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
495	C₂⁵	C₂²×C₂²⋊C₄	1	128	yes	complemented
496	C₂⁵	C₂²×C₂²⋊C₄	1	64	yes	complemented
497	C₂⁵	C₂×C₄×D₄	1	64	yes	—
498	C₂⁵	C₂×C₄×D₄	1	16	yes	—
499	C₂⁵	C₂×C₄×D₄	1	16	yes	—
500	C₂⁵	C₂×C₄×D₄	1	64	yes	—
501	C₂⁵	C₂×C₄×D₄	1	64	yes	—
502	C₂⁵	C₂×C₄×D₄	1	16	yes	—
503	C₂⁵	C₂×C₄×D₄	1	16	yes	—
504	C₂⁵	C₂×C₄×D₄	1	16	yes	—
505	C₂⁵	C₂×C₄×D₄	1	32	yes	—
506	C₂⁵	C₂×C₄×D₄	1	16	yes	—
507	C₂⁵	C₂×C₄×D₄	1	128	yes	complemented
508	C₂⁵	#518	1	64	yes	—
509	C₂⁵	#518	1	32	yes	—
510	C₂⁵	#518	1	32	yes	—
511	C₂⁵	C₂×#120	1	32	yes	—
512	C₂⁵	C₂×#120	1	32	yes	—
513	C₂⁵	C₂×#120	1	16	yes	—
514	C₂⁵	C₂×#120	1	64	yes	—
515	C₂⁵	C₂×#120	1	16	yes	—
516	C₂⁵	C₂×#120	1	16	yes	—
517	C₂⁵	C₂×#120	1	32	yes	—
518	C₂⁵	C₂×#120	1	16	yes	—
519	C₂⁵	C₂×#120	1	32	yes	—
520	C₂⁵	C₂×#121	1	16	yes	—
521	C₂⁵	C₂×#121	1	16	yes	—
522	C₂⁵	C₂×#121	1	64	yes	—
523	C₂⁵	C₂×#121	1	64	yes	—
524	C₂⁵	C₂×#121	1	16	yes	—
525	C₂⁵	C₂×#121	1	16	yes	—
526	C₂⁵	C₂×#121	1	16	yes	—
527	C₂⁵	C₂×#121	1	16	yes	—
528	C₂⁵	C₂×#123	1	16	yes	—
529	C₂⁵	C₂×#123	1	64	yes	—
530	C₂⁵	C₂×#123	1	16	yes	—
531	C₂⁵	C₂×#123	1	16	yes	—
532	C₂⁵	#525	1	16	yes	—
533	C₂⁵	#525	1	32	yes	—
534	C₂⁵	#534	1	32	yes	—
535	C₂⁵	#534	1	32	yes	—
536	C₂⁵	#534	1	16	yes	—
537	C₂⁵	#535	1	16	yes	—
538	C₂⁵	#538	1	32	yes	—
539	C₂⁵	D₄²	1	128	yes	—
540	C₂⁵	D₄²	1	64	yes	—
541	C₂⁵	D₄²	1	64	yes	—
542	C₂⁵	D₄²	1	32	yes	—
543	C₂⁵	D₄²	1	32	yes	—
544	C₂⁵	D₄²	1	32	yes	—
545	C₂⁵	#546	1	128	yes	—
546	C₂⁵	#546	1	32	yes	—
547	C₂⁵	#546	1	64	yes	—
548	C₂⁵	#546	1	64	yes	—
549	C₂⁵	#546	1	32	yes	—
550	C₂⁵	#546	1	32	yes	—
551	C₂⁵	#546	1	32	yes	—
552	C₂⁵	#551	1	32	yes	—
553	C₂⁵	C₂⁴×C₄	1	4	yes	—
554	C₂⁵	C₂⁴×C₄	1	4	yes	—
555	C₂⁵	C₂⁴×C₄	1	4	yes	—
556	C₂⁵	C₂⁴×C₄	1	16	yes	—
557	C₂⁵	C₂⁴×C₄	1	4	yes	—
558	C₂⁵	C₂⁴×C₄	1	4	yes	—
559	C₂⁵	C₂⁴×C₄	1	2	yes	—
560	C₂⁵	C₂³×D₄	1	4	yes	—
561	C₂⁵	C₂³×D₄	1	4	yes	—
562	C₂⁵	C₂³×D₄	1	4	yes	—
563	C₂⁵	C₂³×D₄	1	16	yes	—
564	C₂⁵	C₂³×D₄	1	4	yes	—
565	C₂⁵	C₂³×D₄	1	4	yes	—
566	C₂⁵	C₂³×D₄	1	4	yes	—
567	C₂⁵	C₂³×D₄	1	32	yes	—
568	C₂⁵	C₂³×D₄	1	4	yes	—
569	C₂⁵	C₂³×D₄	1	4	yes	—
570	C₂⁵	C₂³×D₄	1	16	yes	—
571	C₂⁵	C₂³×D₄	1	4	yes	—
572	C₂⁵	C₂³×D₄	1	4	yes	—
573	C₂⁵	C₂³×D₄	1	16	yes	—
574	C₂⁵	C₂³×D₄	1	4	yes	—
575	C₂⁵	C₂³×D₄	1	4	yes	—
576	C₂⁵	C₂³×D₄	1	4	yes	—
577	C₂⁵	C₂³×D₄	1	4	yes	—
578	C₂⁵	C₂³×D₄	1	4	yes	—
579	C₂⁵	C₂³×D₄	1	4	yes	—
580	C₂⁵	C₂³×D₄	1	8	yes	—
581	C₂⁵	C₂³×D₄	1	2	yes	—
582	C₂⁵	C₂³×D₄	1	2	yes	—
583	C₂⁵	C₂³×D₄	1	8	yes	—
584	C₂⁵	C₂³×D₄	1	2	yes	—
585	C₂⁵	C₂³×D₄	1	2	yes	—
586	C₂⁵	C₂³×D₄	1	4	yes	—
587	C₂⁵	C₂²×#41	1	4	yes	—
588	C₂⁵	C₂²×#41	1	4	yes	—
589	C₂⁵	C₂²×#41	1	16	yes	—
590	C₂⁵	C₂²×#41	1	4	yes	—
591	C₂⁵	C₂²×#41	1	4	yes	—
592	C₂⁵	C₂²×#41	1	4	yes	—
593	C₂⁵	C₂²×#41	1	4	yes	—
594	C₂⁵	C₂²×#41	1	8	yes	—
595	C₂⁵	C₂²×#41	1	2	yes	—
596	C₂⁵	C₂²×#41	1	2	yes	—
597	C₂⁵	C₂²×#41	1	4	yes	—
598	C₂⁵	C₂×H(5,𝔽₂)	1	32	yes	—
599	C₂⁵	C₂×H(5,𝔽₂)	1	16	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	8	yes	—
603	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
604	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
605	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
606	C₂⁵	C₂⁶	1	1	yes	characteristic
607	C₂²×D₄	#379	1	512	yes	complemented
608	C₂²×D₄	C₂²×C₂²⋊C₄	1	64	yes	—
609	C₂²×D₄	C₂²×C₂²⋊C₄	1	64	yes	—
610	C₂²×D₄	C₂²×C₂²⋊C₄	1	128	yes	—
611	C₂²×D₄	C₂²×C₂²⋊C₄	1	64	yes	complemented
612	C₂²×D₄	C₂²×C₂²⋊C₄	1	64	yes	complemented
613	C₂²×D₄	C₂²×C₂²⋊C₄	1	256	yes	complemented
614	C₂²×D₄	C₂×#120	1	128	yes	—
615	C₂²×D₄	C₂×#120	1	128	yes	—
616	C₂³×C₄	C₂²×C₂²⋊C₄	1	16	yes	—
617	C₂³×C₄	C₂²×C₂²⋊C₄	1	64	yes	—
618	C₂³×C₄	C₂²×C₂²⋊C₄	1	16	yes	—
619	C₂³×C₄	C₂²×C₂²⋊C₄	1	32	yes	—
620	C₂³×C₄	C₂²×C₂²⋊C₄	1	64	yes	complemented
621	C₂³×C₄	C₂×#120	1	32	yes	—
622	C₂³×C₄	C₂×#120	1	32	yes	—
623	C₂³×C₄	C₂×#120	1	32	yes	complemented
624	C₂³×C₄	C₂⁴×C₄	1	4	yes	—
625	C₂³×C₄	C₂⁴×C₄	1	16	yes	—
626	C₂³×C₄	C₂⁴×C₄	1	4	yes	—
627	C₂³×C₄	C₂³×D₄	1	8	yes	—
628	C₂³×C₄	C₂³×D₄	1	8	yes	—
629	C₂³×C₄	C₂³×D₄	1	8	yes	—
630	C₂³×C₄	C₂³×D₄	1	16	yes	—
631	C₂³×C₄	C₂³×D₄	1	4	yes	—
632	C₂³×C₄	C₂³×D₄	1	4	yes	—
633	C₂³×C₄	C₂³×D₄	1	32	yes	—
634	C₂³×C₄	C₂³×D₄	1	8	yes	—
635	C₂³×C₄	C₂³×D₄	1	16	yes	—
636	C₂³×C₄	C₂³×D₄	1	4	yes	—
637	C₂³×C₄	C₂³×D₄	1	4	yes	—
638	C₂³×C₄	C₂³×D₄	1	16	yes	—
639	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	128	yes	complemented
640	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	256	yes	complemented
641	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	complemented
642	C₂⁴	C₂×#379	1	64	yes	—
643	C₂⁴	C₂×#379	1	64	yes	complemented
644	C₂⁴	C₂×#386	1	64	yes	—
645	C₂⁴	C₂×#386	1	64	yes	—
646	C₂⁴	C₂×#386	1	64	yes	—
647	C₂⁴	C₂×#386	1	256	yes	complemented
648	C₂⁴	C₄×#120	1	64	yes	—
649	C₂⁴	#2308	1	64	yes	—
650	C₂⁴	#2321	1	64	yes	—
651	C₂⁴	D₄×C₂²⋊C₄	1	128	yes	—
652	C₂⁴	D₄×C₂²⋊C₄	1	128	yes	—
653	C₂⁴	D₄×C₂²⋊C₄	1	128	yes	—
654	C₂⁴	D₄×C₂²⋊C₄	1	256	yes	complemented
655	C₂⁴	#2358	1	128	yes	—
656	C₂⁴	#2403	1	128	yes	—
657	C₂⁴	#2403	1	64	yes	—
658	C₂⁴	#2404	1	64	yes	—
659	C₂⁴	#2405	1	128	yes	—
660	C₂⁴	#2408	1	64	yes	—
661	C₂⁴	#2410	1	128	yes	—
662	C₂⁴	#2410	1	128	yes	—
663	C₂⁴	#2418	1	128	yes	—
664	C₂⁴	#2424	1	128	yes	—
665	C₂⁴	#2534	1	64	yes	—
666	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
667	C₂⁴	C₂³×C₂²⋊C₄	1	32	yes	—
668	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
669	C₂⁴	C₂³×C₂²⋊C₄	1	16	yes	—
670	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
671	C₂⁴	C₂³×C₂²⋊C₄	1	16	yes	—
672	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
673	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
674	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
675	C₂⁴	C₂³×C₂²⋊C₄	1	4	yes	—
676	C₂⁴	C₂²×C₄×D₄	1	32	yes	—
677	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
678	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
679	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
680	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
681	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
682	C₂⁴	C₂²×C₄×D₄	1	16	yes	—
683	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
684	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
685	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
686	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
687	C₂⁴	C₂×#518	1	32	yes	—
688	C₂⁴	C₂×#518	1	16	yes	—
689	C₂⁴	C₂×#518	1	16	yes	—
690	C₂⁴	C₂×#518	1	8	yes	—
691	C₂⁴	C₂×#518	1	8	yes	—
692	C₂⁴	C₂×#518	1	16	yes	—
693	C₂⁴	C₂²×#120	1	16	yes	—
694	C₂⁴	C₂²×#120	1	16	yes	—
695	C₂⁴	C₂²×#120	1	8	yes	—
696	C₂⁴	C₂²×#120	1	8	yes	—
697	C₂⁴	C₂²×#120	1	16	yes	—
698	C₂⁴	C₂²×#120	1	8	yes	—
699	C₂⁴	C₂²×#120	1	8	yes	—
700	C₂⁴	C₂²×#120	1	16	yes	—
701	C₂⁴	C₂²×#120	1	4	yes	—
702	C₂⁴	C₂²×#120	1	8	yes	—
703	C₂⁴	C₂²×#120	1	8	yes	—
704	C₂⁴	C₂²×#120	1	4	yes	—
705	C₂⁴	C₂²×#121	1	8	yes	—
706	C₂⁴	C₂²×#121	1	8	yes	—
707	C₂⁴	C₂²×#121	1	8	yes	—
708	C₂⁴	C₂²×#121	1	8	yes	—
709	C₂⁴	C₂²×#121	1	8	yes	—
710	C₂⁴	C₂²×#121	1	8	yes	—
711	C₂⁴	C₂²×#121	1	4	yes	—
712	C₂⁴	C₂²×#121	1	4	yes	—
713	C₂⁴	C₂²×#123	1	8	yes	—
714	C₂⁴	C₂²×#123	1	8	yes	—
715	C₂⁴	C₂²×#123	1	8	yes	—
716	C₂⁴	C₂²×#123	1	4	yes	—
717	C₂⁴	C₂×#525	1	8	yes	—
718	C₂⁴	C₂×#525	1	16	yes	—
719	C₂⁴	C₂×#525	1	4	yes	—
720	C₂⁴	C₂×#525	1	8	yes	—
721	C₂⁴	C₂×#534	1	8	yes	—
722	C₂⁴	C₂×#534	1	16	yes	—
723	C₂⁴	C₂×#534	1	16	yes	—
724	C₂⁴	C₂×#534	1	4	yes	—
725	C₂⁴	C₂×#534	1	8	yes	—
726	C₂⁴	C₂×#534	1	8	yes	—
727	C₂⁴	C₂×#535	1	8	yes	—
728	C₂⁴	C₂×#535	1	4	yes	—
729	C₂⁴	C₂×#538	1	16	yes	—
730	C₂⁴	C₂×#538	1	8	yes	—
731	C₂⁴	C₂×D₄²	1	64	yes	—
732	C₂⁴	C₂×D₄²	1	32	yes	—
733	C₂⁴	C₂×D₄²	1	32	yes	—
734	C₂⁴	C₂×D₄²	1	16	yes	—
735	C₂⁴	C₂×D₄²	1	16	yes	—
736	C₂⁴	C₂×D₄²	1	16	yes	—
737	C₂⁴	C₂×D₄²	1	16	yes	—
738	C₂⁴	C₂×D₄²	1	32	yes	—
739	C₂⁴	C₂×D₄²	1	8	yes	—
740	C₂⁴	C₂×D₄²	1	8	yes	—
741	C₂⁴	C₂×D₄²	1	16	yes	—
742	C₂⁴	C₂×D₄²	1	8	yes	—
743	C₂⁴	C₂×#546	1	64	yes	—
744	C₂⁴	C₂×#546	1	16	yes	—
745	C₂⁴	C₂×#546	1	32	yes	—
746	C₂⁴	C₂×#546	1	32	yes	—
747	C₂⁴	C₂×#546	1	16	yes	—
748	C₂⁴	C₂×#546	1	16	yes	—
749	C₂⁴	C₂×#546	1	16	yes	—
750	C₂⁴	C₂×#546	1	8	yes	—
751	C₂⁴	C₂×#546	1	16	yes	—
752	C₂⁴	C₂×#546	1	32	yes	—
753	C₂⁴	C₂×#546	1	8	yes	—
754	C₂⁴	C₂×#546	1	16	yes	—
755	C₂⁴	C₂×#546	1	8	yes	—
756	C₂⁴	C₂×#546	1	8	yes	—
757	C₂⁴	C₂×#551	1	16	yes	—
758	C₂⁴	C₂×#551	1	8	yes	—
759	C₂⁴	#3484	1	32	yes	—
760	C₂⁴	#3484	1	16	yes	—
761	C₂⁴	#3484	1	16	yes	—
762	C₂⁴	#3484	1	16	yes	—
763	C₂⁴	#3484	1	32	yes	—
764	C₂⁴	#3484	1	32	yes	—
765	C₂⁴	#3484	1	16	yes	—
766	C₂⁴	#3490	1	16	yes	—
767	C₂⁴	#3490	1	32	yes	—
768	C₂⁴	#3490	1	16	yes	—
769	C₂⁴	#3532	1	32	yes	—
770	C₂⁴	#3532	1	32	yes	—
771	C₂⁴	C₂⁵×C₄	1	1	yes	characteristic
772	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
773	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
774	C₂⁴	C₂⁴×D₄	1	4	yes	—
775	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
776	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
777	C₂⁴	C₂⁴×D₄	1	2	yes	—
778	C₂⁴	C₂³×#41	1	1	yes	characteristic
779	C₂⁴	C₂³×#41	1	1	yes	characteristic
780	C₂⁴	C₂³×#41	1	2	yes	—
781	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
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	4	yes	—
785	C₂×D₄	C₂×#379	1	256	yes	complemented
786	C₂²×C₄	C₂×#379	1	64	yes	complemented
787	C₂²×C₄	C₂³×C₂²⋊C₄	1	8	yes	—
788	C₂²×C₄	C₂³×C₂²⋊C₄	1	32	yes	—
789	C₂²×C₄	C₂³×C₂²⋊C₄	1	8	yes	—
790	C₂²×C₄	C₂³×C₂²⋊C₄	1	16	yes	—
791	C₂²×C₄	C₂²×#120	1	16	yes	—
792	C₂²×C₄	C₂²×#120	1	16	yes	—
793	C₂²×C₄	C₂²×#120	1	16	yes	complemented
794	C₂³	#13867	1	256	yes	complemented
795	C₂³	#13967	1	256	yes	complemented
796	C₂³	C₂²×#379	1	16	yes	—
797	C₂³	C₂²×#379	1	8	yes	—
798	C₂³	C₂²×#379	1	16	yes	complemented
799	C₂³	C₂²×#386	1	16	yes	—
800	C₂³	C₂²×#386	1	16	yes	—
801	C₂³	C₂²×#386	1	16	yes	—
802	C₂³	C₂²×#386	1	8	yes	—
803	C₂³	C₂×C₄×#120	1	16	yes	—
804	C₂³	C₂×C₄×#120	1	8	yes	—
805	C₂³	C₂×#2308	1	16	yes	—
806	C₂³	C₂×#2308	1	8	yes	—
807	C₂³	C₂×#2321	1	16	yes	—
808	C₂³	C₂×#2321	1	8	yes	—
809	C₂³	C₂×D₄×C₂²⋊C₄	1	32	yes	—
810	C₂³	C₂×D₄×C₂²⋊C₄	1	32	yes	—
811	C₂³	C₂×D₄×C₂²⋊C₄	1	32	yes	—
812	C₂³	C₂×D₄×C₂²⋊C₄	1	16	yes	—
813	C₂³	C₂×D₄×C₂²⋊C₄	1	32	yes	—
814	C₂³	C₂×D₄×C₂²⋊C₄	1	16	yes	—
815	C₂³	C₂×D₄×C₂²⋊C₄	1	16	yes	—
816	C₂³	C₂×D₄×C₂²⋊C₄	1	64	yes	complemented
817	C₂³	C₂×#2358	1	32	yes	—
818	C₂³	C₂×#2358	1	16	yes	—
819	C₂³	#34171	1	32	yes	—
820	C₂³	#34171	1	16	yes	—
821	C₂³	#34198	1	16	yes	—
822	C₂³	#34198	1	32	yes	—
823	C₂³	#34198	1	16	yes	—
824	C₂³	#34356	1	32	yes	—
825	C₂³	C₂×#2403	1	16	yes	—
826	C₂³	C₂×#2403	1	32	yes	—
827	C₂³	C₂×#2403	1	8	yes	—
828	C₂³	C₂×#2403	1	16	yes	—
829	C₂³	C₂×#2410	1	32	yes	—
830	C₂³	C₂×#2410	1	32	yes	—
831	C₂³	C₂×#2410	1	16	yes	—
832	C₂³	C₂×#2410	1	16	yes	—
833	C₂³	C₂×#2418	1	32	yes	—
834	C₂³	C₂×#2418	1	16	yes	—
835	C₂³	C₂×#2424	1	32	yes	—
836	C₂³	C₂×#2424	1	16	yes	—
837	C₂³	C₂×#2405	1	32	yes	—
838	C₂³	C₂×#2405	1	16	yes	—
839	C₂³	C₂×#2408	1	16	yes	—
840	C₂³	C₂×#2408	1	8	yes	—
841	C₂³	C₂×#2404	1	16	yes	—
842	C₂³	C₂×#2404	1	8	yes	—
843	C₂³	C₂×#2534	1	16	yes	—
844	C₂³	C₂×#2534	1	8	yes	—
845	C₂³	#35346	1	16	yes	—
846	C₂³	#35348	1	16	yes	—
847	C₂³	#35348	1	16	yes	—
848	C₂³	#35350	1	16	yes	—
849	C₂³	D₄×#120	1	32	yes	—
850	C₂³	D₄×#120	1	32	yes	—
851	C₂³	D₄×#120	1	32	yes	—
852	C₂³	#36098	1	64	yes	—
853	C₂³	#36098	1	32	yes	—
854	C₂³	#36152	1	32	yes	—
855	C₂³	#36152	1	32	yes	—
856	C₂³	#37644	1	32	yes	—
857	C₂³	#37644	1	32	yes	—
858	C₂³	#37644	1	32	yes	—
859	C₂³	#37645	1	32	yes	—
860	C₂³	#37660	1	64	yes	—
861	C₂³	#37832	1	32	yes	—
862	C₂³	#37832	1	32	yes	—
863	C₂³	#58990	1	64	yes	—
864	C₂³	#58991	1	64	yes	—
865	C₂³	#58991	1	64	yes	—
866	C₂³	#59006	1	64	yes	—
867	C₂³	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
868	C₂³	C₂⁴×C₂²⋊C₄	1	2	yes	—
869	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
870	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
871	C₂³	C₂³×C₄×D₄	1	2	yes	—
872	C₂³	C₂²×#518	1	2	yes	—
873	C₂³	C₂²×#518	1	2	yes	—
874	C₂³	C₂²×#518	1	4	yes	—
875	C₂³	C₂³×#120	1	2	yes	—
876	C₂³	C₂³×#120	1	2	yes	—
877	C₂³	C₂³×#120	1	1	yes	characteristic
878	C₂³	C₂³×#120	1	1	yes	characteristic
879	C₂³	C₂³×#121	1	1	yes	characteristic
880	C₂³	C₂³×#121	1	1	yes	characteristic
881	C₂³	C₂³×#123	1	1	yes	characteristic
882	C₂³	C₂²×#525	1	2	yes	—
883	C₂³	C₂²×#525	1	1	yes	characteristic
884	C₂³	C₂²×#534	1	2	yes	—
885	C₂³	C₂²×#534	1	1	yes	characteristic
886	C₂³	C₂²×#534	1	2	yes	—
887	C₂³	C₂²×#538	1	2	yes	—
888	C₂³	C₂²×#535	1	1	yes	characteristic
889	C₂³	C₂²×D₄²	1	4	yes	—
890	C₂³	C₂²×D₄²	1	4	yes	—
891	C₂³	C₂²×D₄²	1	2	yes	—
892	C₂³	C₂²×D₄²	1	2	yes	—
893	C₂³	C₂²×D₄²	1	2	yes	—
894	C₂³	C₂²×D₄²	1	8	yes	—
895	C₂³	C₂²×#546	1	4	yes	—
896	C₂³	C₂²×#546	1	4	yes	—
897	C₂³	C₂²×#546	1	2	yes	—
898	C₂³	C₂²×#546	1	2	yes	—
899	C₂³	C₂²×#546	1	2	yes	—
900	C₂³	C₂²×#546	1	2	yes	—
901	C₂³	C₂²×#546	1	8	yes	—
902	C₂³	C₂²×#551	1	2	yes	—
903	C₂³	C₂×#3532	1	8	yes	—
904	C₂³	C₂×#3532	1	8	yes	—
905	C₂³	C₂×#3484	1	8	yes	—
906	C₂³	C₂×#3484	1	4	yes	—
907	C₂³	C₂×#3484	1	4	yes	—
908	C₂³	C₂×#3484	1	8	yes	—
909	C₂³	C₂×#3484	1	8	yes	—
910	C₂³	C₂×#3484	1	4	yes	—
911	C₂³	C₂×#3484	1	4	yes	—
912	C₂³	C₂×#3490	1	4	yes	—
913	C₂³	C₂×#3490	1	8	yes	—
914	C₂³	C₂×#3490	1	4	yes	—
915	C₂×C₄	C₂²×#379	1	16	yes	complemented
916	C₂²	C₂×#13867	1	16	yes	—
917	C₂²	C₂×#13867	1	32	yes	complemented
918	C₂²	C₂×#13967	1	16	yes	—
919	C₂²	C₂×#13967	1	32	yes	complemented
920	C₂²	#515285	1	16	yes	—
921	C₂²	C₂²⋊C₄×#120	1	32	yes	—
922	C₂²	D₄×#379	1	32	yes	—
923	C₂²	#521311	1	32	yes	—
924	C₂²	#530231	1	32	yes	—
925	C₂²	#531607	1	64	yes	—
926	C₂²	#647656	1	32	yes	—
927	C₂²	#647657	1	32	yes	—
928	C₂²	#647670	1	32	yes	—
929	C₂²	#647671	1	32	yes	—
930	C₂²	#647682	1	64	yes	—
931	C₂²	#648042	1	64	yes	—
932	C₂²	C₂³×#379	1	1	yes	characteristic
933	C₂²	C₂³×#386	1	1	yes	characteristic
934	C₂²	C₂²×C₄×#120	1	1	yes	characteristic
935	C₂²	C₂²×#2308	1	1	yes	characteristic
936	C₂²	C₂²×#2321	1	1	yes	characteristic
937	C₂²	C₂²×D₄×C₂²⋊C₄	1	2	yes	—
938	C₂²	C₂²×D₄×C₂²⋊C₄	1	4	yes	—
939	C₂²	C₂²×D₄×C₂²⋊C₄	1	2	yes	—
940	C₂²	C₂²×D₄×C₂²⋊C₄	1	2	yes	—
941	C₂²	C₂²×#2358	1	2	yes	—
942	C₂²	C₂×#34171	1	4	yes	—
943	C₂²	C₂×#34171	1	2	yes	—
944	C₂²	C₂×#34198	1	2	yes	—
945	C₂²	C₂×#34198	1	4	yes	—
946	C₂²	C₂×#34198	1	2	yes	—
947	C₂²	C₂×#34356	1	4	yes	—
948	C₂²	C₂²×#2403	1	1	yes	characteristic
949	C₂²	C₂²×#2403	1	2	yes	—
950	C₂²	C₂²×#2410	1	2	yes	—
951	C₂²	C₂²×#2410	1	2	yes	—
952	C₂²	C₂²×#2418	1	2	yes	—
953	C₂²	C₂²×#2424	1	2	yes	—
954	C₂²	C₂²×#2405	1	2	yes	—
955	C₂²	C₂²×#2408	1	1	yes	characteristic
956	C₂²	C₂²×#2404	1	1	yes	characteristic
957	C₂²	C₂²×#2534	1	1	yes	characteristic
958	C₂²	C₂×#35346	1	2	yes	—
959	C₂²	C₂×#35348	1	2	yes	—
960	C₂²	C₂×#35348	1	2	yes	—
961	C₂²	C₂×#35350	1	2	yes	—
962	C₂²	C₂×D₄×#120	1	4	yes	—
963	C₂²	C₂×D₄×#120	1	4	yes	—
964	C₂²	C₂×D₄×#120	1	4	yes	—
965	C₂²	C₂×#36098	1	8	yes	—
966	C₂²	C₂×#36098	1	4	yes	—
967	C₂²	C₂×#36152	1	4	yes	—
968	C₂²	C₂×#36152	1	4	yes	—
969	C₂²	C₂×#37644	1	4	yes	—
970	C₂²	C₂×#37644	1	4	yes	—
971	C₂²	C₂×#37644	1	4	yes	—
972	C₂²	C₂×#37660	1	8	yes	—
973	C₂²	C₂×#37645	1	4	yes	—
974	C₂²	C₂×#37832	1	4	yes	—
975	C₂²	C₂×#37832	1	4	yes	—
976	C₂²	C₂×#58990	1	8	yes	—
977	C₂²	C₂×#58991	1	8	yes	—
978	C₂²	C₂×#58991	1	8	yes	—
979	C₂²	C₂×#59006	1	8	yes	—
980	C₂	C₂×#647656	1	2	yes	—
981	C₂	C₂×#647657	1	2	yes	—
982	C₂	C₂²×#13867	1	1	yes	characteristic
983	C₂	#72251015	1	32	yes	direct product factor
984	C₂	C₂×#515285	1	1	yes	characteristic
985	C₂	C₂×C₂²⋊C₄×#120	1	2	yes	—
986	C₂	C₂²×#13967	1	1	yes	characteristic
987	C₂	C₂×#647670	1	2	yes	—
988	C₂	C₂×#531607	1	4	yes	—
989	C₂	C₂×#648042	1	4	yes	—
990	C₂	C₂×D₄×#379	1	2	yes	—
991	C₂	C₂×#530231	1	2	yes	—
992	C₂	C₂×#647682	1	4	yes	—
993	C₂	C₂×#647671	1	2	yes	—
994	C₂	C₂×#521311	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁶	C₂⁵
commutator	C₂⁴	C₂⁵×C₄
Frattini, cosocle	C₂⁵	C₂⁶
prime radical	C₂⁵×#120	C₂
LCS	G ▷ C₂⁴ ▷ 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×#153749	C₂	semidirect
2. C₂×#154095	C₂	semidirect
3. C₂×#153851	C₂	semidirect
4. C₂×#153851	C₂	semidirect
5. C₂³×D₄×C₂²⋊C₄	C₂	semidirect
6. C₂×#154671	C₂	semidirect
7. C₂×#154670	C₂	semidirect
8. C₂²×#13967	C₂	semidirect
9. C₂×#154094	C₂	semidirect
10. C₂×#154195	C₂	semidirect
11. C₂⁴×#379	C₂	semidirect
13. #72251015	C₂	direct (N × H)
14. C₂²×#13867	C₂	semidirect
15. C₂²×#13867	C₂	semidirect
16. C₂²×#14679	C₂	semidirect
20. C₂⁴×#120	C₄	semidirect
26. C₂⁴×C₄×D₄	C₂²	semidirect
31. C₂⁵×C₂²⋊C₄	C₂²	semidirect
32. C₂⁵×C₂²⋊C₄	C₂²	semidirect
33. C₂²×D₄×C₂²⋊C₄	C₂²	semidirect
34. C₂³×#390	C₂²	semidirect
35. C₂³×#386	C₂²	semidirect
36. C₂³×#386	C₂²	semidirect
37. C₂³×#386	C₂²	semidirect
38. C₂³×#386	C₂²	semidirect
39. C₂³×#386	C₂²	semidirect
40. C₂³×#380	C₂²	semidirect
47. C₂³×#379	C₂²	semidirect
48. C₂³×#379	C₂²	semidirect
49. C₂³×#379	C₂²	semidirect
50. C₂³×#379	C₂²	semidirect
51. C₂³×#379	C₂²	semidirect
52. C₂³×#379	C₂²	semidirect
53. C₂³×C₄×C₂²⋊C₄	C₂²	semidirect
54. C₂×#14679	C₂²	semidirect
55. C₂×#13967	C₂²	semidirect
56. C₂×#13867	C₂²	semidirect
57. C₂×#13867	C₂²	semidirect
58. C₂²×#1439	C₂²	semidirect
59. C₂²×#1438	C₂²	semidirect
60. C₂²×#1438	C₂²	semidirect
61. C₂²×#1438	C₂²	semidirect
62. C₂²×#1438	C₂²	semidirect
63. C₂²×#1438	C₂²	semidirect
64. C₂²×#1437	C₂²	semidirect
65. C₂²×C₂²⋊#95	C₂²	semidirect
66. C₂²×C₂²⋊#95	C₂²	semidirect
67. C₂²×C₂²⋊#95	C₂²	semidirect
68. C₂²×C₂²⋊#95	C₂²	semidirect
69. C₂²×C₂²⋊#95	C₂²	semidirect
70. C₂²×C₂²⋊#95	C₂²	semidirect
71. C₂²×C₂²⋊#95	C₂²	semidirect
72. #154671	C₂²	semidirect
73. #154670	C₂²	semidirect
74. #154195	C₂²	semidirect
75. #154095	C₂²	semidirect
76. #154094	C₂²	semidirect
77. #153851	C₂²	semidirect
78. #153851	C₂²	semidirect
79. #153749	C₂²	semidirect
80. C₂×#7555	C₂²	semidirect
81. C₂×#7555	C₂²	semidirect
82. C₂×#7555	C₂²	semidirect
83. C₂×#7555	C₂²	semidirect
84. C₂⁸	C₂×C₄	semidirect
92. C₂⁵×D₄	C₂×C₄	semidirect
107. C₂⁶×C₄	C₂³	semidirect
109. C₂³×#120	C₂×C₄	semidirect
110. C₂³×#120	C₂×C₄	semidirect
111. C₂³×#120	C₂×C₄	semidirect
112. C₂³×#120	C₂×C₄	semidirect
118. C₂³×C₄×D₄	C₂³	semidirect
119. C₂⁴×C₄⋊C₄	C₂³	semidirect
120. C₂⁴×C₂²⋊C₄	C₂×C₄	semidirect
121. C₂⁴×C₂²⋊C₄	C₂×C₄	semidirect
122. C₂⁴×C₂²⋊C₄	D₄	semidirect
147. C₂⁴×C₂²⋊C₄	C₂³	semidirect
148. C₂⁴×C₂²⋊C₄	C₂³	semidirect
149. C₂⁴×C₂²⋊C₄	C₂³	semidirect
150. C₂⁴×C₂²⋊C₄	C₂³	semidirect
151. C₂⁴×C₂²⋊C₄	C₂³	semidirect
152. C₂⁴×C₂²⋊C₄	C₂³	semidirect
153. C₂⁴×C₂²⋊C₄	C₂³	semidirect
154. C₂⁴×C₄²	C₂³	semidirect
155. C₂²×#390	C₂³	semidirect
156. C₂²×#386	C₂³	semidirect
157. C₂²×#386	C₂³	semidirect
158. C₂²×#386	C₂³	semidirect
159. C₂²×#386	C₂³	semidirect
160. C₂²×#386	C₂³	semidirect
161. C₂²×#380	C₂³	semidirect
162. C₂²×#379	D₄	semidirect
163. C₂²×#379	D₄	semidirect
170. C₂²×#379	C₂³	semidirect
171. C₂²×#379	C₂³	semidirect
172. C₂²×#379	C₂³	semidirect
173. C₂²×#379	C₂³	semidirect
174. C₂²×#379	C₂³	semidirect
175. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
176. C₂³×#95	C₂³	semidirect
177. C₂³×#95	C₂³	semidirect
178. C₂³×#95	C₂³	semidirect
179. C₂³×#95	C₂³	semidirect
180. C₂³×#95	C₂³	semidirect
181. C₂³×#95	C₂³	semidirect
182. C₂³×#95	C₂³	semidirect
183. C₂³×#95	C₂³	semidirect
184. C₂×#1439	C₂³	semidirect
185. C₂×#1438	C₂³	semidirect
186. C₂×#1438	C₂³	semidirect
187. C₂×#1438	C₂³	semidirect
188. C₂×#1438	C₂³	semidirect
189. C₂×#1438	C₂³	semidirect
190. C₂×#1437	C₂³	semidirect
191. C₂×C₂²⋊#95	C₂³	semidirect
192. C₂×C₂²⋊#95	C₂³	semidirect
193. C₂×C₂²⋊#95	C₂³	semidirect
194. C₂×C₂²⋊#95	C₂³	semidirect
195. C₂×C₂²⋊#95	C₂³	semidirect
196. C₂×C₂²⋊#95	C₂³	semidirect
197. C₂×C₂²⋊#95	C₂³	semidirect
198. #7555	C₂³	semidirect
199. #7555	C₂³	semidirect
200. #7555	C₂³	semidirect
201. #7555	C₂³	semidirect
207. C₂⁷	C₂²×C₄	semidirect
230. C₂⁴×D₄	C₂²⋊C₄	semidirect
238. C₂⁴×D₄	C₂²×C₄	semidirect
261. C₂⁵×C₄	C₂×D₄	semidirect
275. C₂⁵×C₄	C₂⁴	semidirect
276. C₂²×#120	C₂²⋊C₄	semidirect
278. C₂²×#120	C₂²×C₄	semidirect
279. C₂²×#120	C₂²×C₄	semidirect
280. C₂²×#120	C₂²×C₄	semidirect
282. C₂³×C₄⋊C₄	C₂⁴	semidirect
287. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
288. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
297. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
298. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
299. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
300. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
301. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
322. C₂³×C₂²⋊C₄	C₂⁴	semidirect
323. C₂³×C₂²⋊C₄	C₂⁴	semidirect
324. C₂³×C₂²⋊C₄	C₂⁴	semidirect
325. C₂³×C₂²⋊C₄	C₂⁴	semidirect
326. C₂³×C₂²⋊C₄	C₂⁴	semidirect
327. C₂³×C₄²	C₂⁴	semidirect
328. C₂×#379	C₂×D₄	semidirect
329. C₂×#379	C₂×D₄	semidirect
330. C₂²×#95	C₂⁴	semidirect
331. C₂²×#95	C₂⁴	semidirect
332. C₂²×#95	C₂⁴	semidirect
333. C₂²×#95	C₂⁴	semidirect
334. C₂²×#95	C₂⁴	semidirect
335. C₂²×#95	C₂⁴	semidirect
336. C₂²×#95	C₂⁴	semidirect
337. C₂²×#95	C₂⁴	semidirect
339. C₂⁶	C₂×C₂²⋊C₄	semidirect
340. C₂⁶	C₂×C₂²⋊C₄	semidirect
343. C₂⁶	C₄×D₄	semidirect
413. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
414. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
415. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
416. C₂³×D₄	C₂×C₂²⋊C₄	semidirect
435. C₂⁴×C₄	C₂×C₂²⋊C₄	semidirect
455. C₂⁴×C₄	C₂²×D₄	semidirect
465. C₂×#120	C₂×C₂²⋊C₄	semidirect
466. C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	semidirect
467. C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	semidirect
468. C₂²×C₂²⋊C₄	#120	semidirect
481. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
482. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
483. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
484. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
485. C₂⁵	#386	semidirect
495. C₂⁵	C₂²×C₂²⋊C₄	semidirect
496. C₂⁵	C₂²×C₂²⋊C₄	semidirect
507. C₂⁵	C₂×C₄×D₄	semidirect
607. C₂²×D₄	#379	semidirect
611. C₂²×D₄	C₂²×C₂²⋊C₄	semidirect
612. C₂²×D₄	C₂²×C₂²⋊C₄	semidirect
613. C₂²×D₄	C₂²×C₂²⋊C₄	semidirect
620. C₂³×C₄	C₂²×C₂²⋊C₄	semidirect
623. C₂³×C₄	C₂×#120	semidirect
639. C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	semidirect
640. C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	semidirect
641. C₂×C₂²⋊C₄	C₂×#120	semidirect
643. C₂⁴	C₂×#379	semidirect
647. C₂⁴	C₂×#386	semidirect
654. C₂⁴	D₄×C₂²⋊C₄	semidirect
785. C₂×D₄	C₂×#379	semidirect
786. C₂²×C₄	C₂×#379	semidirect
793. C₂²×C₄	C₂²×#120	semidirect
794. C₂³	#13867	semidirect
795. C₂³	#13967	semidirect
798. C₂³	C₂²×#379	semidirect
816. C₂³	C₂×D₄×C₂²⋊C₄	semidirect
915. C₂×C₄	C₂²×#379	semidirect
917. C₂²	C₂×#13867	semidirect
919. C₂²	C₂×#13967	semidirect
983. C₂	#72251015	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×#153749	2
C₂×#154095	2
C₂×#153851	2
C₂³×D₄×C₂²⋊C₄	2
C₂×#154671	2
C₂×#154670	2
C₂²×#13967	2
C₂×#154094	2
C₂×#154195	2
C₂⁴×#379	2
C₂⁵×#120	2
#72251015	2
C₂²×#13867	2
C₂²×#14679	2

Subgroups — C2×#72251015 #72289569

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72251015 #72289569