Subgroups — C₂³×#3494 #72301667

Order 1024.

515957 conjugacy classes of subgroups.

The subgroup lattice has 960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#3494	C₂	1	224	yes	maximal, direct product factor
2	C₂³×#555	C₂	1	2	yes	maximal, complemented
3	C₂³×#553	C₂	1	2	yes	maximal, complemented
4	C₂³×#553	C₂	1	2	yes	maximal, complemented
5	C₂³×#551	C₂	1	4	yes	maximal, complemented
6	C₂³×#547	C₂	1	2	yes	maximal, complemented
7	C₂³×#546	C₂	1	4	yes	maximal, complemented
8	C₂³×#542	C₂	1	2	yes	maximal, complemented
9	C₂³×#540	C₂	1	2	yes	maximal, complemented
10	C₂³×#544	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂³×#535	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂³×#532	C₂	1	2	yes	maximal, complemented
13	C₂³×#529	C₂	1	2	yes	maximal, complemented
14	C₂³×#525	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂⁴×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×#520	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×#518	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂⁴×#117	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂⁴×#41	C₂²	1	1	yes	characteristic
20	C₂⁴×#41	C₂²	1	4	yes	complemented
21	C₂⁵×D₄	C₂²	1	1	yes	characteristic
22	C₂⁵×D₄	C₂²	1	2	yes	—
23	C₂⁶×C₄	C₂²	1	1	yes	characteristic
24	C₂×#3494	C₂²	1	7168	yes	direct product factor
25	C₂²×#555	C₂²	1	224	yes	complemented
26	C₂²×#553	C₂²	1	224	yes	complemented
27	C₂²×#553	C₂²	1	224	yes	complemented
28	C₂²×#551	C₂²	1	448	yes	complemented
29	C₂²×#547	C₂²	1	224	yes	complemented
30	C₂²×#546	C₂²	1	448	yes	complemented
31	C₂²×#542	C₂²	1	224	yes	complemented
32	C₂²×#540	C₂²	1	224	yes	complemented
33	C₂²×#544	C₂²	1	112	yes	complemented
34	C₂²×#535	C₂²	1	112	yes	complemented
35	C₂²×#532	C₂²	1	224	yes	complemented
36	C₂³×C₄⋊Q₈	C₂²	1	2	yes	complemented
37	C₂³×C₄⋊Q₈	C₂²	1	2	yes	complemented
38	C₂³×#127	C₂²	1	2	yes	complemented
39	C₂²×#529	C₂²	1	224	yes	complemented
40	C₂³×#126	C₂²	1	4	yes	complemented
41	C₂³×#126	C₂²	1	4	yes	complemented
42	C₂³×#125	C₂²	1	2	yes	complemented
43	C₂³×#125	C₂²	1	2	yes	complemented
44	C₂³×#124	C₂²	1	2	yes	complemented
45	C₂³×#124	C₂²	1	4	yes	complemented
46	C₂³×#124	C₂²	1	4	yes	complemented
47	C₂²×#525	C₂²	1	112	yes	complemented
48	C₂³×#123	C₂²	1	2	yes	—
49	C₂³×#123	C₂²	1	4	yes	complemented
50	C₂³×#123	C₂²	1	4	yes	complemented
51	C₂³×#123	C₂²	1	4	yes	complemented
52	C₂³×#123	C₂²	1	4	yes	complemented
53	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	—
54	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
57	C₂³×#121	C₂²	1	2	yes	—
58	C₂³×#121	C₂²	1	2	yes	—
59	C₂³×#121	C₂²	1	2	yes	—
60	C₂³×#121	C₂²	1	2	yes	—
61	C₂³×#121	C₂²	1	112	yes	complemented
62	C₂³×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂³×#121	C₂²	1	1	yes	characteristic, complemented
64	C₂³×#121	C₂²	1	4	yes	complemented
65	C₂³×#121	C₂²	1	2	yes	complemented
66	C₂³×#121	C₂²	1	2	yes	complemented
67	C₂³×#121	C₂²	1	4	yes	complemented
68	C₂³×#121	C₂²	1	4	yes	complemented
69	C₂³×#120	C₂²	1	2	yes	—
70	C₂³×#120	C₂²	1	4	yes	—
71	C₂²×#520	C₂²	1	112	yes	complemented
72	C₂²×#518	C₂²	1	112	yes	complemented
73	C₂³×C₄×Q₈	C₂²	1	2	yes	complemented
74	C₂³×C₄×D₄	C₂²	1	4	yes	—
75	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
76	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
77	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
78	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
79	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
80	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
81	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
82	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
83	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
84	C₂³×#117	C₂²	1	1	yes	characteristic
85	C₂³×#117	C₂²	1	1	yes	characteristic
86	C₂³×#117	C₂²	1	2	yes	—
87	C₂³×#117	C₂²	1	1	yes	characteristic
88	C₂³×#117	C₂²	1	2	yes	complemented
89	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
90	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
91	C₂³×#117	C₂²	1	2	yes	complemented
92	C₂³×#117	C₂²	1	4	yes	complemented
93	C₂³×#117	C₂²	1	112	yes	complemented
94	C₂⁴×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	C₂⁴×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	C₂⁴×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
98	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₂⁴×C₂²⋊C₄	C₂²	1	4	yes	—
100	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₂⁴×C₄²	C₂²	1	2	yes	complemented
102	C₂⁷	C₂³	1	1	yes	characteristic
103	C₂⁷	C₂³	1	2	yes	—
104	C₂³×#41	—	2	32	no	—
105	C₂³×#41	—	4	64	no	—
106	C₂³×#41	C₂³	1	56	yes	—
107	C₂³×#41	C₂³	1	224	yes	complemented
108	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
109	C₂⁴×Q₈	C₂³	1	4	yes	—
110	C₂⁴×D₄	—	2	32	no	—
111	C₂⁴×D₄	—	4	32	no	—
112	C₂⁴×D₄	C₂³	1	4	yes	—
113	C₂⁴×D₄	C₂³	1	2	yes	—
114	C₂⁴×D₄	C₂³	1	2	yes	—
115	C₂⁴×D₄	C₂³	1	56	yes	—
116	C₂⁴×D₄	C₂³	1	2	yes	—
117	C₂⁴×D₄	C₂³	1	1	yes	characteristic
118	C₂⁴×D₄	C₂³	1	2	yes	—
119	C₂⁴×D₄	C₂³	1	4	yes	—
120	C₂⁴×D₄	C₂³	1	112	yes	—
121	C₂⁴×D₄	C₂³	1	4	yes	—
122	C₂⁴×D₄	C₂³	1	2	yes	—
123	C₂⁴×D₄	C₂³	1	4	yes	—
124	C₂⁵×C₄	—	2	32	no	—
125	C₂⁵×C₄	C₂³	1	1	yes	characteristic
126	C₂⁵×C₄	C₂³	1	1	yes	characteristic
127	C₂⁵×C₄	C₂³	1	1	yes	characteristic
128	C₂⁵×C₄	C₂³	1	1	yes	characteristic
129	C₂⁵×C₄	C₂³	1	1	yes	characteristic
130	C₂⁵×C₄	C₂³	1	56	yes	—
131	C₂⁵×C₄	C₂³	1	2	yes	—
132	C₂⁵×C₄	C₂³	1	2	yes	—
133	C₂⁵×C₄	C₂³	1	2	yes	—
134	C₂⁵×C₄	C₂³	1	4	yes	—
135	C₂⁵×C₄	C₂³	1	4	yes	—
136	C₂⁵×C₄	C₂³	1	2	yes	—
137	C₂⁵×C₄	C₂³	1	4	yes	—
138	C₂⁵×C₄	C₂³	1	1	yes	characteristic
139	#3494	C₂³	1	32768	yes	direct product factor
140	C₂×#555	C₂³	1	3584	yes	complemented
141	C₂×#553	C₂³	1	3584	yes	complemented
142	C₂×#553	C₂³	1	3584	yes	complemented
143	C₂×#551	C₂³	1	7168	yes	complemented
144	C₂×#547	C₂³	1	3584	yes	complemented
145	C₂×#546	C₂³	1	7168	yes	complemented
146	C₂×#544	C₂³	1	1792	yes	complemented
147	C₂×#542	C₂³	1	3584	yes	complemented
148	C₂×#540	C₂³	1	3584	yes	complemented
149	C₂×#535	C₂³	1	1792	yes	complemented
150	C₂×#532	C₂³	1	3584	yes	complemented
151	C₂²×C₄⋊Q₈	C₂³	1	112	yes	complemented
152	C₂²×C₄⋊Q₈	C₂³	1	112	yes	complemented
153	C₂²×#127	C₂³	1	112	yes	complemented
154	C₂×#529	C₂³	1	3584	yes	complemented
155	C₂²×#126	C₂³	1	224	yes	complemented
156	C₂²×#126	C₂³	1	224	yes	complemented
157	C₂²×#125	C₂³	1	112	yes	complemented
158	C₂²×#125	C₂³	1	112	yes	complemented
159	C₂²×#124	C₂³	1	112	yes	complemented
160	C₂²×#124	C₂³	1	224	yes	complemented
161	C₂²×#124	C₂³	1	224	yes	complemented
162	C₂×#525	C₂³	1	1792	yes	complemented
163	C₂²×#123	C₂³	1	112	yes	—
164	C₂²×#123	C₂³	1	224	yes	complemented
165	C₂²×#123	C₂³	1	224	yes	complemented
166	C₂²×#123	C₂³	1	224	yes	complemented
167	C₂²×#123	C₂³	1	224	yes	complemented
168	C₂²×C₂²⋊Q₈	C₂³	1	224	yes	—
169	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
170	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
171	C₂²×C₂²⋊Q₈	C₂³	1	224	yes	complemented
172	C₂²×#121	C₂³	1	112	yes	—
173	C₂²×#121	C₂³	1	112	yes	—
174	C₂²×#121	C₂³	1	112	yes	—
175	C₂²×#121	C₂³	1	112	yes	—
176	C₂²×#121	C₂³	1	1792	yes	complemented
177	C₂²×#121	C₂³	1	56	yes	complemented
178	C₂²×#121	C₂³	1	56	yes	complemented
179	C₂²×#121	C₂³	1	224	yes	complemented
180	C₂²×#121	C₂³	1	112	yes	complemented
181	C₂²×#121	C₂³	1	112	yes	complemented
182	C₂²×#121	C₂³	1	224	yes	complemented
183	C₂²×#121	C₂³	1	224	yes	complemented
184	C₂²×#120	C₂³	1	112	yes	—
185	C₂²×#120	C₂³	1	224	yes	—
186	C₂×#520	C₂³	1	1792	yes	complemented
187	C₂×#518	C₂³	1	1792	yes	complemented
188	C₂²×C₄×Q₈	C₂³	1	112	yes	complemented
189	C₂²×C₄×D₄	C₂³	1	224	yes	—
190	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
191	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
192	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
193	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
194	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
195	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
196	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
197	C₂²×C₄×D₄	C₂³	1	224	yes	complemented
198	C₂²×C₄×D₄	C₂³	1	224	yes	complemented
199	C₂²×#117	C₂³	1	56	yes	—
200	C₂²×#117	C₂³	1	56	yes	—
201	C₂²×#117	C₂³	1	112	yes	—
202	C₂²×#117	C₂³	1	56	yes	—
203	C₂²×#117	C₂³	1	112	yes	complemented
204	C₂²×#117	C₂³	1	56	yes	complemented
205	C₂²×#117	C₂³	1	56	yes	complemented
206	C₂²×#117	C₂³	1	112	yes	complemented
207	C₂²×#117	C₂³	1	224	yes	complemented
208	C₂²×#117	C₂³	1	1792	yes	complemented
209	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
210	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂³×C₄⋊C₄	C₂³	1	56	yes	—
212	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
217	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
218	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
219	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
222	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
223	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
224	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
225	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
226	C₂³×C₄⋊C₄	C₂³	1	56	yes	complemented
227	C₂³×C₄⋊C₄	C₂³	1	56	yes	complemented
228	C₂³×C₄⋊C₄	C₂³	1	112	yes	complemented
229	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
235	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
236	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
237	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
238	C₂³×C₂²⋊C₄	C₂³	1	224	yes	—
239	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
240	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
241	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
242	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
243	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
244	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
245	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
246	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₂³×C₄²	C₂³	1	2	yes	—
249	C₂³×C₄²	C₂³	1	2	yes	—
250	C₂³×C₄²	C₂³	1	2	yes	—
251	C₂³×C₄²	C₂³	1	2	yes	—
252	C₂³×C₄²	C₂³	1	2	yes	—
253	C₂³×C₄²	C₂³	1	4	yes	—
254	C₂³×C₄²	C₂³	1	112	yes	complemented
255	C₂⁶	—	2	16	no	—
256	C₂⁶	—	2	16	no	—
257	C₂⁶	—	2	32	no	—
258	C₂⁶	—	4	8	no	—
259	C₂⁶	—	4	16	no	—
260	C₂⁶	—	4	16	no	—
261	C₂⁶	C₂⁴	1	2	yes	—
262	C₂⁶	C₂⁴	1	1	yes	characteristic
263	C₂⁶	C₂⁴	1	4	yes	—
264	C₂⁶	C₂⁴	1	28	yes	—
265	C₂⁶	C₂⁴	1	1	yes	characteristic
266	C₂⁶	C₂⁴	1	1	yes	characteristic
267	C₂⁶	C₂⁴	1	56	yes	—
268	C₂²×#41	—	2	896	no	—
269	C₂²×#41	—	4	1792	no	—
270	C₂²×#41	C₂⁴	1	448	yes	—
271	C₂²×#41	C₂⁴	1	1792	yes	complemented
272	C₂³×Q₈	—	2	16	no	—
273	C₂³×Q₈	—	4	32	no	—
274	C₂³×Q₈	C₂⁴	1	28	yes	—
275	C₂³×Q₈	C₂⁴	1	112	yes	—
276	C₂³×D₄	—	2	32	no	—
277	C₂³×D₄	—	2	64	no	—
278	C₂³×D₄	—	2	32	no	—
279	C₂³×D₄	—	2	32	no	—
280	C₂³×D₄	—	2	32	no	—
281	C₂³×D₄	—	2	16	no	—
282	C₂³×D₄	—	2	896	no	—
283	C₂³×D₄	—	4	32	no	—
284	C₂³×D₄	—	4	16	no	—
285	C₂³×D₄	—	4	32	no	—
286	C₂³×D₄	—	4	32	no	—
287	C₂³×D₄	—	4	896	no	—
288	C₂³×D₄	C₂⁴	1	112	yes	—
289	C₂³×D₄	C₂⁴	1	56	yes	—
290	C₂³×D₄	C₂⁴	1	56	yes	—
291	C₂³×D₄	C₂⁴	1	448	yes	—
292	C₂³×D₄	C₂⁴	1	56	yes	—
293	C₂³×D₄	C₂⁴	1	28	yes	—
294	C₂³×D₄	C₂⁴	1	56	yes	—
295	C₂³×D₄	C₂⁴	1	112	yes	—
296	C₂³×D₄	C₂⁴	1	896	yes	—
297	C₂³×D₄	C₂⁴	1	112	yes	—
298	C₂³×D₄	C₂⁴	1	56	yes	—
299	C₂³×D₄	C₂⁴	1	112	yes	—
300	C₂⁴×C₄	—	2	16	no	—
301	C₂⁴×C₄	—	2	32	no	—
302	C₂⁴×C₄	—	2	16	no	—
303	C₂⁴×C₄	—	2	16	no	—
304	C₂⁴×C₄	—	2	16	no	—
305	C₂⁴×C₄	—	2	16	no	—
306	C₂⁴×C₄	—	2	32	no	—
307	C₂⁴×C₄	—	2	896	no	—
308	C₂⁴×C₄	—	4	32	no	—
309	C₂⁴×C₄	—	4	16	no	—
310	C₂⁴×C₄	—	4	16	no	—
311	C₂⁴×C₄	—	4	32	no	—
312	C₂⁴×C₄	—	4	32	no	—
313	C₂⁴×C₄	#41	1	32	yes	complemented
314	C₂⁴×C₄	C₂⁴	1	28	yes	—
315	C₂⁴×C₄	C₂⁴	1	28	yes	—
316	C₂⁴×C₄	C₂⁴	1	28	yes	—
317	C₂⁴×C₄	C₂⁴	1	28	yes	—
318	C₂⁴×C₄	C₂⁴	1	28	yes	—
319	C₂⁴×C₄	C₂⁴	1	448	yes	—
320	C₂⁴×C₄	C₂⁴	1	56	yes	—
321	C₂⁴×C₄	C₂⁴	1	56	yes	—
322	C₂⁴×C₄	C₂⁴	1	2	yes	—
323	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
324	C₂⁴×C₄	C₂⁴	1	2	yes	—
325	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
326	C₂⁴×C₄	C₂⁴	1	4	yes	—
327	C₂⁴×C₄	C₂⁴	1	2	yes	—
328	C₂⁴×C₄	C₂⁴	1	2	yes	—
329	C₂⁴×C₄	C₂⁴	1	2	yes	—
330	C₂⁴×C₄	C₂⁴	1	2	yes	—
331	C₂⁴×C₄	C₂⁴	1	2	yes	—
332	C₂⁴×C₄	C₂⁴	1	56	yes	—
333	C₂⁴×C₄	C₂⁴	1	112	yes	—
334	C₂⁴×C₄	C₂⁴	1	112	yes	—
335	C₂⁴×C₄	C₂⁴	1	56	yes	—
336	C₂⁴×C₄	C₂⁴	1	112	yes	—
337	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
338	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
339	C₂⁴×C₄	C₂⁴	1	28	yes	—
340	#555	C₂⁴	1	8192	yes	complemented
341	#553	C₂⁴	1	8192	yes	complemented
342	#553	C₂⁴	1	8192	yes	complemented
343	#551	C₂⁴	1	16384	yes	complemented
344	#547	C₂⁴	1	8192	yes	complemented
345	#546	C₂⁴	1	16384	yes	complemented
346	#544	C₂⁴	1	4096	yes	complemented
347	#542	C₂⁴	1	8192	yes	complemented
348	#540	C₂⁴	1	8192	yes	complemented
349	#535	C₂⁴	1	4096	yes	complemented
350	#532	C₂⁴	1	8192	yes	complemented
351	C₂×C₄⋊Q₈	C₂⁴	1	896	yes	complemented
352	C₂×C₄⋊Q₈	C₂⁴	1	896	yes	complemented
353	C₂×#127	C₂⁴	1	896	yes	complemented
354	#529	C₂⁴	1	8192	yes	complemented
355	C₂×#126	C₂⁴	1	1792	yes	complemented
356	C₂×#126	C₂⁴	1	1792	yes	complemented
357	C₂×#125	C₂⁴	1	896	yes	complemented
358	C₂×#125	C₂⁴	1	896	yes	complemented
359	C₂×#124	C₂⁴	1	896	yes	complemented
360	C₂×#124	C₂⁴	1	1792	yes	complemented
361	C₂×#124	C₂⁴	1	1792	yes	complemented
362	#525	C₂⁴	1	4096	yes	complemented
363	C₂×#123	C₂⁴	1	896	yes	—
364	C₂×#123	C₂⁴	1	1792	yes	complemented
365	C₂×#123	C₂⁴	1	1792	yes	complemented
366	C₂×#123	C₂⁴	1	1792	yes	complemented
367	C₂×#123	C₂⁴	1	1792	yes	complemented
368	C₂×C₂²⋊Q₈	C₂⁴	1	1792	yes	—
369	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
370	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
371	C₂×C₂²⋊Q₈	C₂⁴	1	1792	yes	complemented
372	C₂×#121	C₂⁴	1	896	yes	—
373	C₂×#121	C₂⁴	1	896	yes	—
374	C₂×#121	C₂⁴	1	896	yes	—
375	C₂×#121	C₂⁴	1	896	yes	—
376	C₂×#121	C₂⁴	1	4096	yes	complemented
377	C₂×#121	C₂⁴	1	448	yes	complemented
378	C₂×#121	C₂⁴	1	448	yes	complemented
379	C₂×#121	C₂⁴	1	1792	yes	complemented
380	C₂×#121	C₂⁴	1	896	yes	complemented
381	C₂×#121	C₂⁴	1	896	yes	complemented
382	C₂×#121	C₂⁴	1	1792	yes	complemented
383	C₂×#121	C₂⁴	1	1792	yes	complemented
384	C₂×#120	C₂⁴	1	896	yes	—
385	C₂×#120	C₂⁴	1	1792	yes	—
386	#520	C₂⁴	1	4096	yes	complemented
387	#518	C₂⁴	1	4096	yes	complemented
388	C₂×C₄×Q₈	C₂⁴	1	896	yes	complemented
389	C₂×C₄×D₄	C₂⁴	1	1792	yes	—
390	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
391	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
392	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
393	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
394	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
395	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
396	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
397	C₂×C₄×D₄	C₂⁴	1	1792	yes	complemented
398	C₂×C₄×D₄	C₂⁴	1	1792	yes	complemented
399	C₂×#117	C₂⁴	1	448	yes	—
400	C₂×#117	C₂⁴	1	448	yes	—
401	C₂×#117	C₂⁴	1	896	yes	—
402	C₂×#117	C₂⁴	1	448	yes	—
403	C₂×#117	C₂⁴	1	896	yes	complemented
404	C₂×#117	C₂⁴	1	448	yes	complemented
405	C₂×#117	C₂⁴	1	448	yes	complemented
406	C₂×#117	C₂⁴	1	896	yes	complemented
407	C₂×#117	C₂⁴	1	1792	yes	complemented
408	C₂×#117	C₂⁴	1	4096	yes	complemented
409	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
410	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
411	C₂²×C₄⋊C₄	C₂⁴	1	448	yes	—
412	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
413	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
414	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
415	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
416	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
417	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
418	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
419	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
420	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
421	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
422	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
423	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
424	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
425	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
426	C₂²×C₄⋊C₄	C₂⁴	1	448	yes	complemented
427	C₂²×C₄⋊C₄	C₂⁴	1	448	yes	complemented
428	C₂²×C₄⋊C₄	C₂⁴	1	896	yes	complemented
429	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
430	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
431	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
432	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
433	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
434	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
435	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
436	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
437	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
438	C₂²×C₂²⋊C₄	C₂⁴	1	1792	yes	—
439	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
440	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
441	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
442	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
443	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
444	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
445	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
446	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
447	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
448	C₂²×C₄²	C₂⁴	1	56	yes	—
449	C₂²×C₄²	C₂⁴	1	56	yes	—
450	C₂²×C₄²	C₂⁴	1	56	yes	—
451	C₂²×C₄²	C₂⁴	1	56	yes	—
452	C₂²×C₄²	C₂⁴	1	56	yes	—
453	C₂²×C₄²	C₂⁴	1	112	yes	—
454	C₂²×C₄²	C₂⁴	1	896	yes	complemented
455	C₂⁵	—	2	8	no	—
456	C₂⁵	—	2	8	no	—
457	C₂⁵	—	2	8	no	—
458	C₂⁵	—	2	8	no	—
459	C₂⁵	—	2	224	no	—
460	C₂⁵	—	2	8	no	—
461	C₂⁵	—	2	16	no	—
462	C₂⁵	—	2	32	no	—
463	C₂⁵	—	2	16	no	—
464	C₂⁵	—	2	32	no	—
465	C₂⁵	—	2	224	no	—
466	C₂⁵	—	2	8	no	—
467	C₂⁵	—	2	32	no	—
468	C₂⁵	—	2	16	no	—
469	C₂⁵	—	2	8	no	—
470	C₂⁵	—	2	448	no	—
471	C₂⁵	—	4	112	no	—
472	C₂⁵	—	4	224	no	—
473	C₂⁵	—	4	224	no	—
474	C₂⁵	—	4	256	no	—
475	C₂⁵	—	8	256	no	—
476	C₂⁵	C₂×#41	1	16	yes	—
477	C₂⁵	H(5,𝔽₂)	1	16	yes	—
478	C₂⁵	C₂⁵	1	14	yes	—
479	C₂⁵	C₂⁵	1	56	yes	—
480	C₂⁵	C₂⁵	1	28	yes	—
481	C₂⁵	C₂⁵	1	112	yes	—
482	C₂⁵	C₂⁵	1	14	yes	—
483	C₂⁵	C₂⁵	1	14	yes	—
484	C₂⁵	C₂⁵	1	224	yes	—
485	C₂⁵	C₂⁵	1	1	yes	characteristic
486	C₂×#41	—	2	3584	no	—
487	C₂×#41	—	4	7168	no	—
488	C₂×#41	C₂⁵	1	512	yes	—
489	C₂×#41	C₂⁵	1	2048	yes	complemented
490	C₂²×Q₈	—	2	224	no	—
491	C₂²×Q₈	—	4	448	no	—
492	C₂²×Q₈	C₂⁵	1	112	yes	—
493	C₂²×Q₈	C₂⁵	1	448	yes	—
494	C₂²×D₄	—	2	448	no	—
495	C₂²×D₄	—	2	896	no	—
496	C₂²×D₄	—	2	448	no	—
497	C₂²×D₄	—	2	448	no	—
498	C₂²×D₄	—	2	448	no	—
499	C₂²×D₄	—	2	224	no	—
500	C₂²×D₄	—	2	3584	no	—
501	C₂²×D₄	—	4	448	no	—
502	C₂²×D₄	—	4	224	no	—
503	C₂²×D₄	—	4	448	no	—
504	C₂²×D₄	—	4	448	no	—
505	C₂²×D₄	—	4	3584	no	—
506	C₂²×D₄	C₂⁵	1	224	yes	—
507	C₂²×D₄	C₂⁵	1	224	yes	—
508	C₂²×D₄	C₂⁵	1	224	yes	—
509	C₂²×D₄	C₂⁵	1	112	yes	—
510	C₂²×D₄	C₂⁵	1	224	yes	—
511	C₂²×D₄	C₂⁵	1	448	yes	—
512	C₂²×D₄	C₂⁵	1	512	yes	—
513	C₂²×D₄	C₂⁵	1	224	yes	—
514	C₂²×D₄	C₂⁵	1	448	yes	—
515	C₂²×D₄	C₂⁵	1	448	yes	—
516	C₂²×D₄	C₂⁵	1	448	yes	—
517	C₂²×D₄	C₂⁵	1	1024	yes	—
518	C₂³×C₄	—	2	224	no	—
519	C₂³×C₄	—	2	8	no	—
520	C₂³×C₄	—	2	8	no	—
521	C₂³×C₄	—	2	16	no	—
522	C₂³×C₄	—	2	16	no	—
523	C₂³×C₄	—	2	16	no	—
524	C₂³×C₄	—	2	448	no	—
525	C₂³×C₄	—	2	32	no	—
526	C₂³×C₄	—	2	16	no	—
527	C₂³×C₄	—	2	16	no	—
528	C₂³×C₄	—	2	16	no	—
529	C₂³×C₄	—	2	16	no	—
530	C₂³×C₄	—	2	224	no	—
531	C₂³×C₄	—	2	224	no	—
532	C₂³×C₄	—	2	224	no	—
533	C₂³×C₄	—	2	224	no	—
534	C₂³×C₄	—	2	448	no	—
535	C₂³×C₄	—	2	3584	no	—
536	C₂³×C₄	—	4	448	no	—
537	C₂³×C₄	—	4	224	no	—
538	C₂³×C₄	—	4	224	no	—
539	C₂³×C₄	—	4	448	no	—
540	C₂³×C₄	—	4	448	no	—
541	C₂³×C₄	C₂×#41	1	16	yes	—
542	C₂³×C₄	C₂×#41	1	16	yes	—
543	C₂³×C₄	C₂×#41	1	448	yes	complemented
544	C₂³×C₄	C₂⁵	1	14	yes	—
545	C₂³×C₄	C₂⁵	1	28	yes	—
546	C₂³×C₄	C₂⁵	1	14	yes	—
547	C₂³×C₄	C₂⁵	1	28	yes	—
548	C₂³×C₄	C₂⁵	1	28	yes	—
549	C₂³×C₄	C₂⁵	1	28	yes	—
550	C₂³×C₄	C₂⁵	1	28	yes	—
551	C₂³×C₄	C₂⁵	1	28	yes	—
552	C₂³×C₄	C₂⁵	1	28	yes	—
553	C₂³×C₄	C₂⁵	1	112	yes	—
554	C₂³×C₄	C₂⁵	1	56	yes	—
555	C₂³×C₄	C₂⁵	1	224	yes	—
556	C₂³×C₄	C₂⁵	1	112	yes	—
557	C₂³×C₄	C₂⁵	1	224	yes	—
558	C₂³×C₄	C₂⁵	1	112	yes	—
559	C₂³×C₄	C₂⁵	1	112	yes	—
560	C₂³×C₄	C₂⁵	1	512	yes	—
561	C₂³×C₄	C₂⁵	1	112	yes	—
562	C₂³×C₄	C₂⁵	1	224	yes	—
563	C₂³×C₄	C₂⁵	1	224	yes	—
564	C₂³×C₄	C₂⁵	1	448	yes	—
565	C₂³×C₄	C₂⁵	1	448	yes	—
566	C₂³×C₄	C₂⁵	1	448	yes	—
567	C₂³×C₄	C₂⁵	1	14	yes	—
568	C₂³×C₄	C₂⁵	1	14	yes	—
569	C₂³×C₄	C₂⁵	1	112	yes	—
570	C₄⋊Q₈	C₂⁵	1	1024	yes	complemented
571	C₄⋊Q₈	C₂⁵	1	1024	yes	complemented
572	#127	C₂⁵	1	1024	yes	complemented
573	#126	C₂⁵	1	2048	yes	complemented
574	#126	C₂⁵	1	2048	yes	complemented
575	#125	C₂⁵	1	1024	yes	complemented
576	#125	C₂⁵	1	1024	yes	complemented
577	#124	C₂⁵	1	1024	yes	complemented
578	#124	C₂⁵	1	2048	yes	complemented
579	#124	C₂⁵	1	2048	yes	complemented
580	#123	C₂⁵	1	1024	yes	—
581	#123	C₂⁵	1	2048	yes	complemented
582	#123	C₂⁵	1	2048	yes	complemented
583	#123	C₂⁵	1	2048	yes	complemented
584	#123	C₂⁵	1	2048	yes	complemented
585	C₂²⋊Q₈	C₂⁵	1	2048	yes	—
586	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
587	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
588	C₂²⋊Q₈	C₂⁵	1	2048	yes	complemented
589	#121	C₂⁵	1	1024	yes	—
590	#121	C₂⁵	1	1024	yes	—
591	#121	C₂⁵	1	1024	yes	—
592	#121	C₂⁵	1	1024	yes	—
593	#121	C₂⁵	1	512	yes	complemented
594	#121	C₂⁵	1	512	yes	complemented
595	#121	C₂⁵	1	2048	yes	complemented
596	#121	C₂⁵	1	1024	yes	complemented
597	#121	C₂⁵	1	1024	yes	complemented
598	#121	C₂⁵	1	2048	yes	complemented
599	#121	C₂⁵	1	2048	yes	complemented
600	#120	C₂⁵	1	1024	yes	—
601	#120	C₂⁵	1	2048	yes	—
602	C₄×Q₈	C₂⁵	1	1024	yes	complemented
603	C₄×D₄	C₂⁵	1	2048	yes	—
604	C₄×D₄	C₂⁵	1	1024	yes	complemented
605	C₄×D₄	C₂⁵	1	1024	yes	complemented
606	C₄×D₄	C₂⁵	1	1024	yes	complemented
607	C₄×D₄	C₂⁵	1	1024	yes	complemented
608	C₄×D₄	C₂⁵	1	1024	yes	complemented
609	C₄×D₄	C₂⁵	1	1024	yes	complemented
610	C₄×D₄	C₂⁵	1	1024	yes	complemented
611	C₄×D₄	C₂⁵	1	2048	yes	complemented
612	C₄×D₄	C₂⁵	1	2048	yes	complemented
613	#117	C₂⁵	1	512	yes	—
614	#117	C₂⁵	1	512	yes	—
615	#117	C₂⁵	1	1024	yes	—
616	#117	C₂⁵	1	512	yes	—
617	#117	C₂⁵	1	1024	yes	complemented
618	#117	C₂⁵	1	512	yes	complemented
619	#117	C₂⁵	1	512	yes	complemented
620	#117	C₂⁵	1	1024	yes	complemented
621	#117	C₂⁵	1	2048	yes	complemented
622	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
623	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
624	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
625	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
626	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
627	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
628	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
629	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
630	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
631	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
632	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
633	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
634	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
635	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
636	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
637	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
638	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
639	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
640	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
641	C₂×C₄⋊C₄	C₂⁵	1	1024	yes	complemented
642	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
643	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
644	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
645	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
646	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
647	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
648	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
649	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
650	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
651	C₂×C₂²⋊C₄	C₂⁵	1	2048	yes	—
652	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
653	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
654	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
655	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
656	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
657	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
658	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
659	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
660	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
661	C₂×C₄²	C₂⁵	1	224	yes	—
662	C₂×C₄²	C₂⁵	1	224	yes	—
663	C₂×C₄²	C₂⁵	1	224	yes	—
664	C₂×C₄²	C₂⁵	1	224	yes	—
665	C₂×C₄²	C₂⁵	1	224	yes	—
666	C₂×C₄²	C₂⁵	1	448	yes	—
667	C₂×C₄²	C₂⁵	1	1024	yes	complemented
668	C₂⁴	—	2	56	no	—
669	C₂⁴	—	2	56	no	—
670	C₂⁴	—	2	56	no	—
671	C₂⁴	—	2	56	no	—
672	C₂⁴	—	2	128	no	—
673	C₂⁴	—	2	128	no	—
674	C₂⁴	—	2	448	no	—
675	C₂⁴	—	2	56	no	—
676	C₂⁴	—	2	112	no	—
677	C₂⁴	—	2	224	no	—
678	C₂⁴	—	2	112	no	—
679	C₂⁴	—	2	224	no	—
680	C₂⁴	—	2	448	no	—
681	C₂⁴	—	2	56	no	—
682	C₂⁴	—	2	224	no	—
683	C₂⁴	—	2	112	no	—
684	C₂⁴	—	2	56	no	—
685	C₂⁴	—	2	896	no	—
686	C₂⁴	—	4	224	no	—
687	C₂⁴	—	4	448	no	—
688	C₂⁴	—	4	448	no	—
689	C₂⁴	—	4	1792	no	—
690	C₂⁴	—	4	128	no	—
691	C₂⁴	—	4	64	no	—
692	C₂⁴	—	4	256	no	—
693	C₂⁴	—	8	1792	no	—
694	C₂⁴	C₂²×#41	1	112	yes	—
695	C₂⁴	C₂²×#41	1	8	yes	—
696	C₂⁴	C₂×H(5,𝔽₂)	1	112	yes	—
697	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
698	C₂⁴	#585	1	8	yes	—
699	C₂⁴	C₂⁶	1	28	yes	—
700	C₂⁴	C₂⁶	1	112	yes	—
701	C₂⁴	C₂⁶	1	56	yes	—
702	C₂⁴	C₂⁶	1	64	yes	—
703	C₂⁴	C₂⁶	1	28	yes	—
704	C₂⁴	C₂⁶	1	28	yes	—
705	C₂⁴	C₂⁶	1	128	yes	—
706	C₂⁴	C₂⁶	1	7	yes	—
707	#41	—	2	2048	no	—
708	#41	—	4	4096	no	—
709	C₂×Q₈	—	2	448	no	—
710	C₂×Q₈	—	4	896	no	—
711	C₂×Q₈	C₂⁶	1	64	yes	—
712	C₂×Q₈	C₂⁶	1	256	yes	—
713	C₂×D₄	—	2	896	no	—
714	C₂×D₄	—	2	1792	no	—
715	C₂×D₄	—	2	896	no	—
716	C₂×D₄	—	2	896	no	—
717	C₂×D₄	—	2	896	no	—
718	C₂×D₄	—	2	448	no	—
719	C₂×D₄	—	2	2048	no	—
720	C₂×D₄	—	4	896	no	—
721	C₂×D₄	—	4	448	no	—
722	C₂×D₄	—	4	896	no	—
723	C₂×D₄	—	4	896	no	—
724	C₂×D₄	—	4	2048	no	—
725	C₂×D₄	C₂⁶	1	128	yes	—
726	C₂×D₄	C₂⁶	1	128	yes	—
727	C₂×D₄	C₂⁶	1	128	yes	—
728	C₂×D₄	C₂⁶	1	64	yes	—
729	C₂×D₄	C₂⁶	1	128	yes	—
730	C₂×D₄	C₂⁶	1	256	yes	—
731	C₂×D₄	C₂⁶	1	128	yes	—
732	C₂×D₄	C₂⁶	1	256	yes	—
733	C₂×D₄	C₂⁶	1	256	yes	—
734	C₂×D₄	C₂⁶	1	256	yes	—
735	C₂²×C₄	—	2	448	no	—
736	C₂²×C₄	—	2	56	no	—
737	C₂²×C₄	—	2	56	no	—
738	C₂²×C₄	—	2	112	no	—
739	C₂²×C₄	—	2	112	no	—
740	C₂²×C₄	—	2	112	no	—
741	C₂²×C₄	—	2	896	no	—
742	C₂²×C₄	—	2	224	no	—
743	C₂²×C₄	—	2	112	no	—
744	C₂²×C₄	—	2	112	no	—
745	C₂²×C₄	—	2	112	no	—
746	C₂²×C₄	—	2	112	no	—
747	C₂²×C₄	—	2	448	no	—
748	C₂²×C₄	—	2	448	no	—
749	C₂²×C₄	—	2	448	no	—
750	C₂²×C₄	—	2	448	no	—
751	C₂²×C₄	—	2	896	no	—
752	C₂²×C₄	—	2	2048	no	—
753	C₂²×C₄	—	4	896	no	—
754	C₂²×C₄	—	4	448	no	—
755	C₂²×C₄	—	4	448	no	—
756	C₂²×C₄	—	4	896	no	—
757	C₂²×C₄	—	4	896	no	—
758	C₂²×C₄	C₂²×#41	1	112	yes	—
759	C₂²×C₄	C₂²×#41	1	112	yes	—
760	C₂²×C₄	C₂²×#41	1	896	yes	complemented
761	C₂²×C₄	C₂⁶	1	28	yes	—
762	C₂²×C₄	C₂⁶	1	56	yes	—
763	C₂²×C₄	C₂⁶	1	56	yes	—
764	C₂²×C₄	C₂⁶	1	56	yes	—
765	C₂²×C₄	C₂⁶	1	56	yes	—
766	C₂²×C₄	C₂⁶	1	56	yes	—
767	C₂²×C₄	C₂⁶	1	56	yes	—
768	C₂²×C₄	C₂⁶	1	56	yes	—
769	C₂²×C₄	C₂⁶	1	112	yes	—
770	C₂²×C₄	C₂⁶	1	64	yes	—
771	C₂²×C₄	C₂⁶	1	128	yes	—
772	C₂²×C₄	C₂⁶	1	28	yes	—
773	C₂²×C₄	C₂⁶	1	64	yes	—
774	C₂²×C₄	C₂⁶	1	64	yes	—
775	C₂²×C₄	C₂⁶	1	128	yes	—
776	C₂²×C₄	C₂⁶	1	64	yes	—
777	C₂²×C₄	C₂⁶	1	64	yes	—
778	C₂²×C₄	C₂⁶	1	128	yes	—
779	C₂²×C₄	C₂⁶	1	128	yes	—
780	C₂²×C₄	C₂⁶	1	256	yes	—
781	C₂²×C₄	C₂⁶	1	256	yes	—
782	C₂²×C₄	C₂⁶	1	256	yes	—
783	C₂²×C₄	C₂⁶	1	28	yes	—
784	C₂²×C₄	C₂⁶	1	28	yes	—
785	C₂²×C₄	C₂⁶	1	64	yes	—
786	C₄⋊C₄	C₂⁶	1	128	yes	—
787	C₄⋊C₄	C₂⁶	1	128	yes	—
788	C₄⋊C₄	C₂⁶	1	64	yes	—
789	C₄⋊C₄	C₂⁶	1	64	yes	—
790	C₄⋊C₄	C₂⁶	1	64	yes	—
791	C₄⋊C₄	C₂⁶	1	64	yes	—
792	C₄⋊C₄	C₂⁶	1	128	yes	—
793	C₄⋊C₄	C₂⁶	1	128	yes	—
794	C₄⋊C₄	C₂⁶	1	256	yes	—
795	C₄⋊C₄	C₂⁶	1	64	yes	—
796	C₄⋊C₄	C₂⁶	1	64	yes	—
797	C₄⋊C₄	C₂⁶	1	128	yes	—
798	C₄⋊C₄	C₂⁶	1	256	yes	—
799	C₄⋊C₄	C₂⁶	1	256	yes	—
800	C₄⋊C₄	C₂⁶	1	256	yes	—
801	C₄⋊C₄	C₂⁶	1	128	yes	—
802	C₂²⋊C₄	C₂⁶	1	128	yes	—
803	C₂²⋊C₄	C₂⁶	1	128	yes	—
804	C₂²⋊C₄	C₂⁶	1	128	yes	—
805	C₂²⋊C₄	C₂⁶	1	128	yes	—
806	C₂²⋊C₄	C₂⁶	1	128	yes	—
807	C₂²⋊C₄	C₂⁶	1	256	yes	—
808	C₂²⋊C₄	C₂⁶	1	256	yes	—
809	C₂²⋊C₄	C₂⁶	1	256	yes	—
810	C₂²⋊C₄	C₂⁶	1	256	yes	—
811	C₂²⋊C₄	C₂⁶	1	256	yes	—
812	C₂²⋊C₄	C₂⁶	1	256	yes	—
813	C₂²⋊C₄	C₂⁶	1	128	yes	—
814	C₂²⋊C₄	C₂⁶	1	128	yes	—
815	C₂²⋊C₄	C₂⁶	1	256	yes	—
816	C₂²⋊C₄	C₂⁶	1	128	yes	—
817	C₂²⋊C₄	C₂⁶	1	128	yes	—
818	C₄²	C₂⁶	1	128	yes	—
819	C₄²	C₂⁶	1	128	yes	—
820	C₄²	C₂⁶	1	128	yes	—
821	C₄²	C₂⁶	1	128	yes	—
822	C₄²	C₂⁶	1	128	yes	—
823	C₄²	C₂⁶	1	256	yes	—
824	C₂³	—	2	448	no	—
825	C₂³	—	2	448	no	—
826	C₂³	—	2	56	no	—
827	C₂³	—	2	56	no	—
828	C₂³	—	2	56	no	—
829	C₂³	—	2	56	no	—
830	C₂³	—	2	128	no	—
831	C₂³	—	2	56	no	—
832	C₂³	—	2	112	no	—
833	C₂³	—	2	224	no	—
834	C₂³	—	2	112	no	—
835	C₂³	—	2	224	no	—
836	C₂³	—	2	128	no	—
837	C₂³	—	2	56	no	—
838	C₂³	—	2	224	no	—
839	C₂³	—	2	112	no	—
840	C₂³	—	2	56	no	—
841	C₂³	—	2	256	no	—
842	C₂³	—	4	64	no	—
843	C₂³	—	4	128	no	—
844	C₂³	—	4	128	no	—
845	C₂³	—	4	1792	no	—
846	C₂³	—	4	448	no	—
847	C₂³	—	4	224	no	—
848	C₂³	—	4	896	no	—
849	C₂³	—	8	1792	no	—
850	C₂³	#3494	1	64	yes	direct product factor
851	C₂³	C₂³×#41	1	112	yes	—
852	C₂³	C₂³×#41	1	28	yes	—
853	C₂³	C₂²×H(5,𝔽₂)	1	112	yes	—
854	C₂³	C₂²×H(5,𝔽₂)	1	28	yes	—
855	C₂³	C₂×#585	1	28	yes	—
856	C₂³	C₂⁷	1	8	yes	—
857	C₂³	C₂⁷	1	32	yes	—
858	C₂³	C₂⁷	1	16	yes	—
859	C₂³	C₂⁷	1	8	yes	—
860	C₂³	C₂⁷	1	8	yes	—
861	C₂³	C₂⁷	1	7	yes	—
862	Q₈	—	2	128	no	—
863	Q₈	—	4	256	no	—
864	D₄	—	2	256	no	—
865	D₄	—	2	512	no	—
866	D₄	—	2	256	no	—
867	D₄	—	2	256	no	—
868	D₄	—	2	256	no	—
869	D₄	—	2	128	no	—
870	D₄	—	4	256	no	—
871	D₄	—	4	128	no	—
872	D₄	—	4	256	no	—
873	D₄	—	4	256	no	—
874	C₂×C₄	—	2	128	no	—
875	C₂×C₄	—	2	56	no	—
876	C₂×C₄	—	2	56	no	—
877	C₂×C₄	—	2	112	no	—
878	C₂×C₄	—	2	112	no	—
879	C₂×C₄	—	2	112	no	—
880	C₂×C₄	—	2	256	no	—
881	C₂×C₄	—	2	224	no	—
882	C₂×C₄	—	2	112	no	—
883	C₂×C₄	—	2	112	no	—
884	C₂×C₄	—	2	112	no	—
885	C₂×C₄	—	2	112	no	—
886	C₂×C₄	—	2	128	no	—
887	C₂×C₄	—	2	128	no	—
888	C₂×C₄	—	2	128	no	—
889	C₂×C₄	—	2	128	no	—
890	C₂×C₄	—	2	256	no	—
891	C₂×C₄	—	4	256	no	—
892	C₂×C₄	—	4	128	no	—
893	C₂×C₄	—	4	128	no	—
894	C₂×C₄	—	4	256	no	—
895	C₂×C₄	—	4	256	no	—
896	C₂×C₄	C₂³×#41	1	112	yes	—
897	C₂×C₄	C₂³×#41	1	112	yes	—
898	C₂×C₄	C₂³×#41	1	256	yes	complemented
899	C₂×C₄	C₂⁷	1	8	yes	—
900	C₂×C₄	C₂⁷	1	16	yes	—
901	C₂×C₄	C₂⁷	1	16	yes	—
902	C₂×C₄	C₂⁷	1	16	yes	—
903	C₂×C₄	C₂⁷	1	16	yes	—
904	C₂×C₄	C₂⁷	1	16	yes	—
905	C₂×C₄	C₂⁷	1	16	yes	—
906	C₂×C₄	C₂⁷	1	16	yes	—
907	C₂×C₄	C₂⁷	1	32	yes	—
908	C₂×C₄	C₂⁷	1	8	yes	—
909	C₂×C₄	C₂⁷	1	8	yes	—
910	C₂×C₄	C₂⁷	1	8	yes	—
911	C₂²	—	2	224	no	—
912	C₂²	—	2	224	no	—
913	C₂²	—	2	8	no	—
914	C₂²	—	2	8	no	—
915	C₂²	—	2	8	no	—
916	C₂²	—	2	8	no	—
917	C₂²	—	2	8	no	—
918	C₂²	—	2	16	no	—
919	C₂²	—	2	32	no	—
920	C₂²	—	2	16	no	—
921	C₂²	—	2	32	no	—
922	C₂²	—	2	8	no	—
923	C₂²	—	2	32	no	—
924	C₂²	—	2	16	no	—
925	C₂²	—	2	8	no	—
926	C₂²	—	4	256	no	—
927	C₂²	—	4	224	no	—
928	C₂²	—	4	112	no	—
929	C₂²	—	4	448	no	—
930	C₂²	—	8	256	no	—
931	C₂²	C₂×#3494	1	112	yes	direct product factor
932	C₂²	C₂⁴×#41	1	16	yes	—
933	C₂²	C₂⁴×#41	1	14	yes	—
934	C₂²	C₂³×H(5,𝔽₂)	1	16	yes	—
935	C₂²	C₂³×H(5,𝔽₂)	1	14	yes	—
936	C₂²	C₂²×#585	1	14	yes	—
937	C₂²	C₂⁸	1	1	yes	characteristic
938	C₄	—	2	8	no	—
939	C₄	—	2	8	no	—
940	C₄	—	2	16	no	—
941	C₄	—	2	16	no	—
942	C₄	—	2	16	no	—
943	C₄	—	2	32	no	—
944	C₄	—	2	16	no	—
945	C₄	—	2	16	no	—
946	C₄	—	2	16	no	—
947	C₄	—	2	16	no	—
948	C₄	C₂⁴×#41	1	16	yes	—
949	C₄	C₂⁴×#41	1	16	yes	—
950	C₂	—	2	16	no	—
951	C₂	—	2	16	no	—
952	C₂	—	4	16	no	—
953	C₂	—	4	8	no	—
954	C₂	—	4	32	no	—
955	C₂	C₂²×#3494	1	28	yes	direct product factor
956	C₂	C₂⁵×#41	1	1	yes	characteristic
957	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
958	C₂	C₂³×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁵	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁸
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂²×#3494	C₂	direct (N × H)
2. C₂³×#555	C₂	semidirect
3. C₂³×#553	C₂	semidirect
4. C₂³×#553	C₂	semidirect
5. C₂³×#551	C₂	semidirect
6. C₂³×#547	C₂	semidirect
7. C₂³×#546	C₂	semidirect
8. C₂³×#542	C₂	semidirect
9. C₂³×#540	C₂	semidirect
10. C₂³×#544	C₂	semidirect
11. C₂³×#535	C₂	semidirect
12. C₂³×#532	C₂	semidirect
13. C₂³×#529	C₂	semidirect
14. C₂³×#525	C₂	semidirect
15. C₂⁴×#121	C₂	semidirect
16. C₂³×#520	C₂	semidirect
17. C₂³×#518	C₂	semidirect
18. C₂⁴×#117	C₂	semidirect
20. C₂⁴×#41	C₂²	semidirect
24. C₂×#3494	C₂²	direct (N × H)
25. C₂²×#555	C₂²	semidirect
26. C₂²×#553	C₂²	semidirect
27. C₂²×#553	C₂²	semidirect
28. C₂²×#551	C₂²	semidirect
29. C₂²×#547	C₂²	semidirect
30. C₂²×#546	C₂²	semidirect
31. C₂²×#542	C₂²	semidirect
32. C₂²×#540	C₂²	semidirect
33. C₂²×#544	C₂²	semidirect
34. C₂²×#535	C₂²	semidirect
35. C₂²×#532	C₂²	semidirect
36. C₂³×C₄⋊Q₈	C₂²	semidirect
37. C₂³×C₄⋊Q₈	C₂²	semidirect
38. C₂³×#127	C₂²	semidirect
39. C₂²×#529	C₂²	semidirect
40. C₂³×#126	C₂²	semidirect
41. C₂³×#126	C₂²	semidirect
42. C₂³×#125	C₂²	semidirect
43. C₂³×#125	C₂²	semidirect
44. C₂³×#124	C₂²	semidirect
45. C₂³×#124	C₂²	semidirect
46. C₂³×#124	C₂²	semidirect
47. C₂²×#525	C₂²	semidirect
49. C₂³×#123	C₂²	semidirect
50. C₂³×#123	C₂²	semidirect
51. C₂³×#123	C₂²	semidirect
52. C₂³×#123	C₂²	semidirect
54. C₂³×C₂²⋊Q₈	C₂²	semidirect
55. C₂³×C₂²⋊Q₈	C₂²	semidirect
56. C₂³×C₂²⋊Q₈	C₂²	semidirect
61. C₂³×#121	C₂²	semidirect
62. C₂³×#121	C₂²	semidirect
63. C₂³×#121	C₂²	semidirect
64. C₂³×#121	C₂²	semidirect
65. C₂³×#121	C₂²	semidirect
66. C₂³×#121	C₂²	semidirect
67. C₂³×#121	C₂²	semidirect
68. C₂³×#121	C₂²	semidirect
71. C₂²×#520	C₂²	semidirect
72. C₂²×#518	C₂²	semidirect
73. C₂³×C₄×Q₈	C₂²	semidirect
75. C₂³×C₄×D₄	C₂²	semidirect
76. C₂³×C₄×D₄	C₂²	semidirect
77. C₂³×C₄×D₄	C₂²	semidirect
78. C₂³×C₄×D₄	C₂²	semidirect
79. C₂³×C₄×D₄	C₂²	semidirect
80. C₂³×C₄×D₄	C₂²	semidirect
81. C₂³×C₄×D₄	C₂²	semidirect
82. C₂³×C₄×D₄	C₂²	semidirect
83. C₂³×C₄×D₄	C₂²	semidirect
88. C₂³×#117	C₂²	semidirect
89. C₂³×#117	C₂²	semidirect
90. C₂³×#117	C₂²	semidirect
91. C₂³×#117	C₂²	semidirect
92. C₂³×#117	C₂²	semidirect
93. C₂³×#117	C₂²	semidirect
95. C₂⁴×C₄⋊C₄	C₂²	semidirect
96. C₂⁴×C₄⋊C₄	C₂²	semidirect
97. C₂⁴×C₄⋊C₄	C₂²	semidirect
101. C₂⁴×C₄²	C₂²	semidirect
107. C₂³×#41	C₂³	semidirect
139. #3494	C₂³	direct (N × H)
140. C₂×#555	C₂³	semidirect
141. C₂×#553	C₂³	semidirect
142. C₂×#553	C₂³	semidirect
143. C₂×#551	C₂³	semidirect
144. C₂×#547	C₂³	semidirect
145. C₂×#546	C₂³	semidirect
146. C₂×#544	C₂³	semidirect
147. C₂×#542	C₂³	semidirect
148. C₂×#540	C₂³	semidirect
149. C₂×#535	C₂³	semidirect
150. C₂×#532	C₂³	semidirect
151. C₂²×C₄⋊Q₈	C₂³	semidirect
152. C₂²×C₄⋊Q₈	C₂³	semidirect
153. C₂²×#127	C₂³	semidirect
154. C₂×#529	C₂³	semidirect
155. C₂²×#126	C₂³	semidirect
156. C₂²×#126	C₂³	semidirect
157. C₂²×#125	C₂³	semidirect
158. C₂²×#125	C₂³	semidirect
159. C₂²×#124	C₂³	semidirect
160. C₂²×#124	C₂³	semidirect
161. C₂²×#124	C₂³	semidirect
162. C₂×#525	C₂³	semidirect
164. C₂²×#123	C₂³	semidirect
165. C₂²×#123	C₂³	semidirect
166. C₂²×#123	C₂³	semidirect
167. C₂²×#123	C₂³	semidirect
169. C₂²×C₂²⋊Q₈	C₂³	semidirect
170. C₂²×C₂²⋊Q₈	C₂³	semidirect
171. C₂²×C₂²⋊Q₈	C₂³	semidirect
176. C₂²×#121	C₂³	semidirect
177. C₂²×#121	C₂³	semidirect
178. C₂²×#121	C₂³	semidirect
179. C₂²×#121	C₂³	semidirect
180. C₂²×#121	C₂³	semidirect
181. C₂²×#121	C₂³	semidirect
182. C₂²×#121	C₂³	semidirect
183. C₂²×#121	C₂³	semidirect
186. C₂×#520	C₂³	semidirect
187. C₂×#518	C₂³	semidirect
188. C₂²×C₄×Q₈	C₂³	semidirect
190. C₂²×C₄×D₄	C₂³	semidirect
191. C₂²×C₄×D₄	C₂³	semidirect
192. C₂²×C₄×D₄	C₂³	semidirect
193. C₂²×C₄×D₄	C₂³	semidirect
194. C₂²×C₄×D₄	C₂³	semidirect
195. C₂²×C₄×D₄	C₂³	semidirect
196. C₂²×C₄×D₄	C₂³	semidirect
197. C₂²×C₄×D₄	C₂³	semidirect
198. C₂²×C₄×D₄	C₂³	semidirect
203. C₂²×#117	C₂³	semidirect
204. C₂²×#117	C₂³	semidirect
205. C₂²×#117	C₂³	semidirect
206. C₂²×#117	C₂³	semidirect
207. C₂²×#117	C₂³	semidirect
208. C₂²×#117	C₂³	semidirect
226. C₂³×C₄⋊C₄	C₂³	semidirect
227. C₂³×C₄⋊C₄	C₂³	semidirect
228. C₂³×C₄⋊C₄	C₂³	semidirect
254. C₂³×C₄²	C₂³	semidirect
271. C₂²×#41	C₂⁴	semidirect
313. C₂⁴×C₄	#41	semidirect
340. #555	C₂⁴	semidirect
341. #553	C₂⁴	semidirect
342. #553	C₂⁴	semidirect
343. #551	C₂⁴	semidirect
344. #547	C₂⁴	semidirect
345. #546	C₂⁴	semidirect
346. #544	C₂⁴	semidirect
347. #542	C₂⁴	semidirect
348. #540	C₂⁴	semidirect
349. #535	C₂⁴	semidirect
350. #532	C₂⁴	semidirect
351. C₂×C₄⋊Q₈	C₂⁴	semidirect
352. C₂×C₄⋊Q₈	C₂⁴	semidirect
353. C₂×#127	C₂⁴	semidirect
354. #529	C₂⁴	semidirect
355. C₂×#126	C₂⁴	semidirect
356. C₂×#126	C₂⁴	semidirect
357. C₂×#125	C₂⁴	semidirect
358. C₂×#125	C₂⁴	semidirect
359. C₂×#124	C₂⁴	semidirect
360. C₂×#124	C₂⁴	semidirect
361. C₂×#124	C₂⁴	semidirect
362. #525	C₂⁴	semidirect
364. C₂×#123	C₂⁴	semidirect
365. C₂×#123	C₂⁴	semidirect
366. C₂×#123	C₂⁴	semidirect
367. C₂×#123	C₂⁴	semidirect
369. C₂×C₂²⋊Q₈	C₂⁴	semidirect
370. C₂×C₂²⋊Q₈	C₂⁴	semidirect
371. C₂×C₂²⋊Q₈	C₂⁴	semidirect
376. C₂×#121	C₂⁴	semidirect
377. C₂×#121	C₂⁴	semidirect
378. C₂×#121	C₂⁴	semidirect
379. C₂×#121	C₂⁴	semidirect
380. C₂×#121	C₂⁴	semidirect
381. C₂×#121	C₂⁴	semidirect
382. C₂×#121	C₂⁴	semidirect
383. C₂×#121	C₂⁴	semidirect
386. #520	C₂⁴	semidirect
387. #518	C₂⁴	semidirect
388. C₂×C₄×Q₈	C₂⁴	semidirect
390. C₂×C₄×D₄	C₂⁴	semidirect
391. C₂×C₄×D₄	C₂⁴	semidirect
392. C₂×C₄×D₄	C₂⁴	semidirect
393. C₂×C₄×D₄	C₂⁴	semidirect
394. C₂×C₄×D₄	C₂⁴	semidirect
395. C₂×C₄×D₄	C₂⁴	semidirect
396. C₂×C₄×D₄	C₂⁴	semidirect
397. C₂×C₄×D₄	C₂⁴	semidirect
398. C₂×C₄×D₄	C₂⁴	semidirect
403. C₂×#117	C₂⁴	semidirect
404. C₂×#117	C₂⁴	semidirect
405. C₂×#117	C₂⁴	semidirect
406. C₂×#117	C₂⁴	semidirect
407. C₂×#117	C₂⁴	semidirect
408. C₂×#117	C₂⁴	semidirect
426. C₂²×C₄⋊C₄	C₂⁴	semidirect
427. C₂²×C₄⋊C₄	C₂⁴	semidirect
428. C₂²×C₄⋊C₄	C₂⁴	semidirect
454. C₂²×C₄²	C₂⁴	semidirect
489. C₂×#41	C₂⁵	semidirect
543. C₂³×C₄	C₂×#41	semidirect
570. C₄⋊Q₈	C₂⁵	semidirect
571. C₄⋊Q₈	C₂⁵	semidirect
572. #127	C₂⁵	semidirect
573. #126	C₂⁵	semidirect
574. #126	C₂⁵	semidirect
575. #125	C₂⁵	semidirect
576. #125	C₂⁵	semidirect
577. #124	C₂⁵	semidirect
578. #124	C₂⁵	semidirect
579. #124	C₂⁵	semidirect
581. #123	C₂⁵	semidirect
582. #123	C₂⁵	semidirect
583. #123	C₂⁵	semidirect
584. #123	C₂⁵	semidirect
586. C₂²⋊Q₈	C₂⁵	semidirect
587. C₂²⋊Q₈	C₂⁵	semidirect
588. C₂²⋊Q₈	C₂⁵	semidirect
593. #121	C₂⁵	semidirect
594. #121	C₂⁵	semidirect
595. #121	C₂⁵	semidirect
596. #121	C₂⁵	semidirect
597. #121	C₂⁵	semidirect
598. #121	C₂⁵	semidirect
599. #121	C₂⁵	semidirect
602. C₄×Q₈	C₂⁵	semidirect
604. C₄×D₄	C₂⁵	semidirect
605. C₄×D₄	C₂⁵	semidirect
606. C₄×D₄	C₂⁵	semidirect
607. C₄×D₄	C₂⁵	semidirect
608. C₄×D₄	C₂⁵	semidirect
609. C₄×D₄	C₂⁵	semidirect
610. C₄×D₄	C₂⁵	semidirect
611. C₄×D₄	C₂⁵	semidirect
612. C₄×D₄	C₂⁵	semidirect
617. #117	C₂⁵	semidirect
618. #117	C₂⁵	semidirect
619. #117	C₂⁵	semidirect
620. #117	C₂⁵	semidirect
621. #117	C₂⁵	semidirect
639. C₂×C₄⋊C₄	C₂⁵	semidirect
640. C₂×C₄⋊C₄	C₂⁵	semidirect
641. C₂×C₄⋊C₄	C₂⁵	semidirect
667. C₂×C₄²	C₂⁵	semidirect
760. C₂²×C₄	C₂²×#41	semidirect
850. C₂³	#3494	direct (N × H)
898. C₂×C₄	C₂³×#41	semidirect
931. C₂²	C₂×#3494	direct (N × H)
955. C₂	C₂²×#3494	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×#3494	2
C₂³×#555	2
C₂³×#553	2
C₂³×#551	2
C₂³×#547	2
C₂³×#546	2
C₂³×#542	2
C₂³×#540	2
C₂³×#544	2
C₂³×#535	2
C₂³×#532	2
C₂³×#529	2
C₂³×#525	2
C₂⁴×#121	2
C₂³×#520	2
C₂³×#518	2
C₂⁴×#117	2

Subgroups — C23×#3494 #72301667

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×#3494 #72301667