Subgroups — #27080916

Order 12032.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256942	C₂	1	1	yes	maximal, characteristic
2	#20252399	C₂	1	2	yes	maximal, complemented
3	#20252388	C₂	1	2	yes	maximal, complemented
4	#20252382	C₂	1	2	yes	maximal, complemented
5	#20252378	C₂	1	2	yes	maximal, complemented
6	#20252363	C₂	1	2	yes	maximal, complemented
7	#20252359	C₂	1	2	yes	maximal, complemented
8	#20252359	C₂	1	2	yes	maximal, complemented
9	C₈×#10625350	C₂	1	2	yes	maximal, complemented
10	#20252332	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252320	C₂	1	1	yes	maximal, characteristic, complemented
12	M₁₆×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252116	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252113	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252084	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252082	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₈×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252052	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252046	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252043	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251810	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#405	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094032	C₂²	1	1	yes	characteristic
25	C₂×#13094030	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₄₇	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
28	#15689841	C₄	1	1	yes	characteristic
29	#15689836	C₄	1	1	yes	characteristic
30	#15689828	C₄	1	1	yes	characteristic
31	#15689821	C₄	1	1	yes	characteristic
32	#15689817	C₄	1	1	yes	characteristic
33	#15689812	C₄	1	1	yes	characteristic
34	#15689808	C₄	1	1	yes	characteristic
35	#15689806	C₄	1	2	yes	—
36	#15689799	C₄	1	2	yes	—
37	#15689797	C₄	1	2	yes	—
38	#15689774	C₄	1	1	yes	characteristic
39	#15689763	C₄	1	2	yes	—
40	#15689676	C₂²	1	1	yes	characteristic
41	#15689657	C₂²	1	2	yes	—
42	#15689651	C₂²	1	2	yes	—
43	#15689651	C₂²	1	2	yes	—
44	#15689635	C₂²	1	1	yes	characteristic
45	#15689634	C₂²	1	1	yes	characteristic
46	C₄×#10625350	C₂²	1	2	yes	—
47	#15689591	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
49	#117×D₄₇	C₂²	1	1	yes	characteristic
50	#15689253	C₂²	1	2	yes	complemented
51	#15689251	C₂²	1	2	yes	complemented
52	#15689251	C₂²	1	2	yes	complemented
53	#15689251	C₂²	1	2	yes	complemented
54	#15689251	C₂²	1	2	yes	complemented
55	C₈×Dic₉₄	C₂²	1	2	yes	complemented
56	C₈×Dic₉₄	C₂²	1	2	yes	complemented
57	C₈×Dic₉₄	C₂²	1	2	yes	complemented
58	#15689202	C₂²	1	2	yes	complemented
59	#15689199	C₂²	1	2	yes	—
60	#15689199	C₂²	1	2	yes	complemented
61	#15689196	C₂²	1	2	yes	complemented
62	#15689196	C₂²	1	2	yes	complemented
63	#15689196	C₂²	1	2	yes	complemented
64	#15689196	C₂²	1	2	yes	complemented
65	#15689194	C₂²	1	2	yes	—
66	#15689194	C₂²	1	2	yes	complemented
67	#15689194	C₂²	1	2	yes	complemented
68	#15689194	C₂²	1	2	yes	complemented
69	#15689192	C₂²	1	2	yes	—
70	#15689192	C₂²	1	2	yes	complemented
71	C₈×D₁₈₈	C₂²	1	2	yes	complemented
72	C₈×D₁₈₈	C₂²	1	2	yes	complemented
73	C₈×D₁₈₈	C₂²	1	2	yes	complemented
74	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
75	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
76	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
77	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
78	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
79	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
80	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
81	C₈×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
82	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	—
83	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
84	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
85	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
86	#15689185	C₂²	1	2	yes	complemented
87	#15689185	C₂²	1	2	yes	complemented
88	#15689184	C₂²	1	2	yes	complemented
89	#15689184	C₂²	1	2	yes	complemented
90	#15689182	C₂²	1	2	yes	complemented
91	#15689182	C₂²	1	2	yes	complemented
92	#15689180	C₂²	1	2	yes	complemented
93	#15689178	C₂²	1	2	yes	complemented
94	#15689178	C₂²	1	2	yes	complemented
95	#15689176	C₂²	1	2	yes	complemented
96	#15689174	C₂²	1	2	yes	complemented
97	#15689174	C₂²	1	2	yes	complemented
98	#15689151	C₂²	1	1	yes	characteristic
99	#15689150	C₂²	1	1	yes	characteristic
100	#15689150	C₂²	1	1	yes	characteristic
101	#15689149	C₂²	1	1	yes	characteristic
102	#15689146	C₂²	1	1	yes	characteristic
103	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
104	#15689091	C₂²	1	1	yes	characteristic
105	#15689089	C₂²	1	1	yes	characteristic
106	#15689087	C₂²	1	1	yes	characteristic
107	#15689086	C₂²	1	1	yes	characteristic
108	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
109	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
110	#15689081	C₂²	1	1	yes	characteristic
111	#15689080	C₂²	1	2	yes	complemented
112	#15689080	C₂²	1	2	yes	complemented
113	#15689079	C₂²	1	1	yes	characteristic
114	#15689079	C₂²	1	1	yes	characteristic
115	#15689078	C₂²	1	1	yes	characteristic
116	#15689077	C₂²	1	2	yes	complemented
117	#15689077	C₂²	1	2	yes	complemented
118	#15689075	C₂²	1	2	yes	complemented
119	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic
120	#97×D₄₇	C₂²	1	2	yes	complemented
121	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
122	C₄×C₈×D₄₇	C₂²	1	2	yes	complemented
123	C₄×C₈×D₄₇	C₂²	1	2	yes	complemented
124	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
125	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
126	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
127	C₄₇×#405	C₂²	1	1	yes	characteristic
128	C₄₇×#405	C₂²	1	1	yes	characteristic
129	C₄₇×#405	C₂²	1	1	yes	characteristic
130	C₄₇×#405	C₂²	1	1	yes	characteristic
131	C₄₇×#405	C₂²	1	2	yes	complemented
132	C₄₇×#405	C₂²	1	2	yes	complemented
133	C₂×#97×C₄₇	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₄₇	C₂²	1	2	yes	complemented
135	C₂×#10625350	C₂×C₄	1	2	yes	—
136	C₂×#10625350	C₂³	1	1	yes	characteristic
137	C₂²×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
138	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
139	#13094032	—	2	4	no	—
140	#13094030	—	2	4	no	—
141	C₂×#10625329	C₂³	1	1	yes	characteristic
142	C₂×#10625329	C₂³	1	1	yes	characteristic
143	C₂×#10625324	C₂³	1	2	yes	—
144	C₂×#10625324	C₂³	1	2	yes	—
145	C₂×#10625324	C₂³	1	2	yes	—
146	M₁₆×D₄₇	—	2	4	no	—
147	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
148	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
149	C₂×C₈×D₄₇	—	2	4	no	—
150	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
151	C₂×C₈×D₄₇	C₂³	1	2	yes	—
152	C₂×C₈×D₄₇	C₂³	1	2	yes	—
153	C₂×C₈×D₄₇	C₂³	1	2	yes	—
154	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
157	#13094023	C₂×C₄	1	1	yes	characteristic
158	#13094023	C₂×C₄	1	1	yes	characteristic
159	#13094019	C₂×C₄	1	2	yes	—
160	#13094019	C₂×C₄	1	2	yes	—
161	#13094018	C₂×C₄	1	2	yes	—
162	#13094018	C₂×C₄	1	2	yes	—
163	#13094017	C₂×C₄	1	2	yes	—
164	#13094017	C₂×C₄	1	2	yes	—
165	#13094016	C₂×C₄	1	2	yes	—
166	#13094015	C₂×C₄	1	1	yes	characteristic
167	#13094015	C₂×C₄	1	1	yes	characteristic
168	#13094014	C₂×C₄	1	2	yes	—
169	#13094014	C₂×C₄	1	2	yes	—
170	#13094012	C₂×C₄	1	2	yes	—
171	#13094010	C₂×C₄	1	2	yes	—
172	#13094010	C₂×C₄	1	2	yes	—
173	#13094009	C₂×C₄	1	2	yes	—
174	#13094009	C₂×C₄	1	2	yes	—
175	#13094008	C₂×C₄	1	2	yes	—
176	#13094007	C₂×C₄	1	2	yes	—
177	#13094007	C₂×C₄	1	2	yes	—
178	#13094007	C₂×C₄	1	2	yes	—
179	#13094006	C₂×C₄	1	2	yes	—
180	#13094006	C₂×C₄	1	2	yes	—
181	#13094004	C₂×C₄	1	1	yes	characteristic
182	#13094004	C₂×C₄	1	1	yes	characteristic
183	#13094003	C₂×C₄	1	2	yes	—
184	#13094003	C₂×C₄	1	1	yes	characteristic
185	#13094003	C₂×C₄	1	1	yes	characteristic
186	#13094002	C₂×C₄	1	2	yes	—
187	#13094002	C₂×C₄	1	2	yes	—
188	#13094001	C₂×C₄	1	2	yes	—
189	#13094001	C₂×C₄	1	2	yes	—
190	#13093999	C₂×C₄	1	1	yes	characteristic
191	#13093999	C₂×C₄	1	1	yes	characteristic
192	#13093998	C₂×C₄	1	2	yes	—
193	#13093998	C₂×C₄	1	1	yes	characteristic
194	#13093998	C₂×C₄	1	1	yes	characteristic
195	#13093997	C₂×C₄	1	2	yes	—
196	#13093997	C₂×C₄	1	2	yes	—
197	#13093994	C₂×C₄	1	2	yes	—
198	#13093993	C₂×C₄	1	2	yes	—
199	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
200	C₄×Dic₉₄	C₂³	1	2	yes	—
201	C₄×Dic₉₄	C₂³	1	2	yes	—
202	#13093989	C₂×C₄	1	1	yes	characteristic
203	#13093989	C₂×C₄	1	1	yes	characteristic
204	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
205	C₄×D₁₈₈	C₂³	1	2	yes	—
206	C₄×D₁₈₈	C₂³	1	2	yes	—
207	#13093986	C₂×C₄	1	1	yes	characteristic
208	#13093986	C₂×C₄	1	1	yes	characteristic
209	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
210	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
211	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
212	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
213	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
214	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
215	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
216	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
217	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
218	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
219	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
220	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
221	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
222	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
223	#13093983	C₂×C₄	1	2	yes	—
224	#13093983	C₂³	1	1	yes	characteristic
225	#13093982	C₂×C₄	1	1	yes	characteristic
226	#13093982	C₂×C₄	1	1	yes	characteristic
227	#13093981	C₂×C₄	1	2	yes	—
228	#13093981	C₂×C₄	1	2	yes	—
229	#13093981	C₂³	1	2	yes	—
230	#13093981	C₂³	1	2	yes	—
231	#13093980	C₂×C₄	1	2	yes	—
232	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
233	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
234	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
236	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
237	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
238	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
239	C₄²×D₄₇	C₂³	1	2	yes	—
240	C₄²×D₄₇	C₂³	1	2	yes	—
241	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
242	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
243	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
244	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
245	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
246	Dic₄₇⋊C₈	C₂³	1	2	yes	—
247	Dic₄₇⋊C₈	C₂³	1	2	yes	—
248	Dic₄₇⋊C₈	C₂³	1	2	yes	—
249	Dic₄₇⋊C₈	C₂³	1	2	yes	—
250	Dic₄₇⋊C₈	C₂³	1	2	yes	—
251	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
252	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
253	Dic₄₇⋊C₈	C₂³	1	2	yes	—
254	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
255	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
256	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
257	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
258	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
259	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
260	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
261	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
262	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
263	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
264	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
265	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
271	#13093935	C₂³	1	2	yes	—
272	#13093935	C₂³	1	2	yes	—
273	#13093934	C₂³	1	2	yes	—
274	#13093934	C₂³	1	2	yes	—
275	#13093934	C₂³	1	2	yes	—
276	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
277	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
278	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
279	C₈×Dic₄₇	C₂³	1	2	yes	—
280	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₈×Dic₄₇	C₂³	1	2	yes	—
282	C₈×Dic₄₇	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
286	C₂×M₁₆×C₄₇	—	2	4	no	—
287	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
288	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
289	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₇	—	2	4	no	—
291	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
293	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
295	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
296	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
297	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
298	#117×C₄₇	C₂×C₄	1	2	yes	—
299	#117×C₄₇	C₂×C₄	1	1	yes	characteristic
300	#117×C₄₇	C₂×C₄	1	1	yes	characteristic
301	#117×C₄₇	C₂³	1	1	yes	characteristic
302	#117×C₄₇	C₂³	1	1	yes	characteristic
303	#117×C₄₇	C₂³	1	2	yes	—
304	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
305	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
307	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
308	#97×C₄₇	C₂³	1	2	yes	—
309	#97×C₄₇	C₂³	1	2	yes	—
310	#97×C₄₇	C₂³	1	2	yes	—
311	#97×C₄₇	C₂³	1	2	yes	—
312	C₄×C₈×C₄₇	C₂³	1	2	yes	—
313	C₄×C₈×C₄₇	C₂³	1	2	yes	—
314	C₄×C₈×C₄₇	C₂³	1	2	yes	—
315	C₄×C₈×C₄₇	C₂³	1	2	yes	—
316	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
317	C₂³×D₄₇	C₂²×C₄	1	1	yes	characteristic
318	C₂²×C₄×C₄₇	—	2	2	no	—
319	C₂²×C₄×C₄₇	—	2	2	no	—
320	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
321	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
322	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
323	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
324	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
325	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
328	C₂×C₂²⋊D₄₇	—	2	4	no	—
329	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
330	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
331	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
332	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
333	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
335	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
336	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
337	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
338	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
339	#10625350	—	2	2	no	—
340	#10625350	—	2	2	no	—
341	#10625350	—	2	8	no	—
342	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
343	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
344	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
345	C₂×C₄×D₄₇	—	2	2	no	—
346	C₂×C₄×D₄₇	—	2	2	no	—
347	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
348	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
349	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
350	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
351	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
352	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
353	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
354	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
355	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
356	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
357	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
358	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
359	M₁₆×C₄₇	—	2	2	no	—
360	M₁₆×C₄₇	—	2	4	no	—
361	M₁₆×C₄₇	#41	1	4	yes	complemented
362	C₂×C₈×C₄₇	—	2	2	no	—
363	C₂×C₈×C₄₇	—	2	2	no	—
364	C₂×C₈×C₄₇	—	2	2	no	—
365	C₂×C₈×C₄₇	—	2	2	no	—
366	C₂×C₈×C₄₇	—	2	2	no	—
367	C₂×C₈×C₄₇	—	2	4	no	—
368	C₂×C₈×C₄₇	#41	1	4	yes	complemented
369	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
372	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
374	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
376	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
377	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
378	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
379	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
380	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
381	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
382	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
383	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
384	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
385	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
386	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
387	C₄²×C₄₇	C₂⁴	1	2	yes	—
388	C₄²×C₄₇	C₂⁴	1	2	yes	—
389	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
390	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
391	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
392	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
393	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
394	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
395	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
396	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
397	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
398	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
400	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
401	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
402	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
403	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
404	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
405	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
406	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
407	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
408	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
409	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
410	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
411	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
412	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
413	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
414	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
415	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
416	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
417	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
418	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
421	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
422	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
423	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
424	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
425	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
426	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
427	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
428	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
429	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
430	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
431	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
432	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
433	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
434	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
435	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
436	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₄×Dic₄₇	C₂⁴	1	2	yes	—
438	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
439	#10625329	—	2	2	no	—
440	#10625329	—	2	2	no	—
441	C₂×C₄₇⋊C₈	—	2	2	no	—
442	C₂×C₄₇⋊C₈	—	2	2	no	—
443	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
444	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
445	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
446	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
447	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
448	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
449	#10625324	—	2	4	no	—
450	#10625324	—	2	4	no	—
451	#10625324	—	2	4	no	—
452	C₈×D₄₇	—	2	2	no	—
453	C₈×D₄₇	—	2	2	no	—
454	C₈×D₄₇	—	2	2	no	—
455	C₈×D₄₇	—	2	2	no	—
456	C₈×D₄₇	—	2	4	no	—
457	C₈×D₄₇	—	2	4	no	—
458	C₈×D₄₇	—	2	4	no	—
459	C₂³×C₄₇	—	2	2	no	—
460	C₂³×C₄₇	—	2	2	no	—
461	C₂³×C₄₇	—	4	1	no	—
462	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
463	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
464	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
465	C₂²×D₄₇	—	2	2	no	—
466	C₂²×D₄₇	—	2	2	no	—
467	C₂²×D₄₇	—	4	1	no	—
468	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
469	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
470	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
471	C₂×C₄×C₄₇	—	2	2	no	—
472	C₂×C₄×C₄₇	—	2	4	no	—
473	C₂×C₄×C₄₇	—	2	2	no	—
474	C₂×C₄×C₄₇	—	2	2	no	—
475	C₂×C₄×C₄₇	—	2	1	no	—
476	C₂×C₄×C₄₇	—	2	1	no	—
477	C₂×C₄×C₄₇	—	2	1	no	—
478	C₂×C₄×C₄₇	—	2	1	no	—
479	C₂×C₄×C₄₇	—	4	2	no	—
480	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
481	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
482	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
483	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
485	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
486	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
487	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
488	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
489	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
490	C₂²⋊D₄₇	—	2	4	no	—
491	C₂²⋊D₄₇	—	2	4	no	—
492	C₂²⋊D₄₇	—	2	2	no	—
493	C₂²⋊D₄₇	—	2	2	no	—
494	C₂²⋊D₄₇	—	2	2	no	—
495	C₂²⋊D₄₇	—	4	2	no	—
496	C₂²⋊D₄₇	#131	1	4	yes	complemented
497	C₂×Dic₄₇	—	2	2	no	—
498	C₂×Dic₄₇	—	2	2	no	—
499	C₂×Dic₄₇	—	4	1	no	—
500	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
501	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
502	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
503	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
504	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
505	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
506	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
507	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
508	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
509	D₁₈₈	—	2	4	no	—
510	D₁₈₈	—	2	2	no	—
511	D₁₈₈	—	4	2	no	—
512	C₄×D₄₇	—	2	4	no	—
513	C₄×D₄₇	—	2	2	no	—
514	C₄×D₄₇	—	2	2	no	—
515	C₄×D₄₇	—	2	1	no	—
516	C₄×D₄₇	—	2	1	no	—
517	C₄×D₄₇	—	2	1	no	—
518	C₄×D₄₇	—	2	2	no	—
519	C₄×D₄₇	—	2	2	no	—
520	C₄×D₄₇	—	2	1	no	—
521	C₄×D₄₇	—	2	4	no	—
522	C₄×D₄₇	—	4	2	no	—
523	C₄×D₄₇	—	4	2	no	—
524	Dic₉₄	—	2	2	no	—
525	Dic₉₄	—	2	4	no	—
526	Dic₉₄	—	4	2	no	—
527	C₈×C₄₇	—	2	1	no	—
528	C₈×C₄₇	—	2	1	no	—
529	C₈×C₄₇	—	2	2	no	—
530	C₈×C₄₇	C₂×#41	1	2	yes	—
531	C₈×C₄₇	C₂×#41	1	2	yes	—
532	C₈×C₄₇	C₂×#41	1	4	yes	—
533	C₄₇⋊C₈	—	2	1	no	—
534	C₄₇⋊C₈	—	2	1	no	—
535	C₄₇⋊C₈	—	2	1	no	—
536	C₄₇⋊C₈	—	2	2	no	—
537	C₄₇⋊C₈	—	2	2	no	—
538	C₄₇⋊C₈	—	2	1	no	—
539	#60215	—	47	1	no	maximal, Sylow
540	C₂²×C₄₇	—	2	1	no	—
541	C₂²×C₄₇	—	2	1	no	—
542	C₂²×C₄₇	—	2	1	no	—
543	C₂²×C₄₇	—	2	1	no	—
544	C₂²×C₄₇	—	2	1	no	—
545	C₂²×C₄₇	—	2	1	no	—
546	C₂²×C₄₇	—	2	1	no	—
547	C₂²×C₄₇	—	4	4	no	—
548	C₂²×C₄₇	C₄×#41	1	2	yes	—
549	C₂²×C₄₇	C₂×#131	1	2	yes	—
550	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
551	C₂×D₄₇	—	2	1	no	—
552	C₂×D₄₇	—	2	1	no	—
553	C₂×D₄₇	—	2	1	no	—
554	C₂×D₄₇	—	2	2	no	—
555	C₂×D₄₇	—	2	2	no	—
556	C₂×D₄₇	—	2	1	no	—
557	C₂×D₄₇	—	2	2	no	—
558	C₂×D₄₇	—	2	1	no	—
559	C₂×D₄₇	—	4	4	no	—
560	C₂×D₄₇	C₂×#131	1	2	yes	—
561	C₄×C₄₇	—	2	1	no	—
562	C₄×C₄₇	—	2	1	no	—
563	C₄×C₄₇	—	2	2	no	—
564	C₄×C₄₇	—	2	2	no	—
565	C₄×C₄₇	—	2	2	no	—
566	C₄×C₄₇	—	2	2	no	—
567	C₄×C₄₇	C₄×#41	1	2	yes	—
568	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
569	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
570	Dic₄₇	—	2	2	no	—
571	Dic₄₇	—	2	1	no	—
572	Dic₄₇	—	2	1	no	—
573	Dic₄₇	—	2	2	no	—
574	Dic₄₇	—	2	1	no	—
575	Dic₄₇	—	2	1	no	—
576	Dic₄₇	—	2	2	no	—
577	Dic₄₇	—	2	1	no	—
578	Dic₄₇	C₂×#131	1	2	yes	—
579	#3475	—	47	1	no	—
580	#2970	—	47	2	no	—
581	#2969	—	47	2	no	—
582	#2968	—	47	2	no	—
583	#2968	—	47	2	no	—
584	#2966	—	47	2	no	—
585	#2966	—	47	2	no	—
586	#2966	—	47	2	no	—
587	C₈×#41	—	47	2	no	—
588	#2962	—	47	1	no	—
589	#2960	—	47	1	no	—
590	D₄×M₁₆	—	47	1	no	—
591	#2933	—	47	1	no	—
592	#2933	—	47	1	no	—
593	#2929	—	47	1	no	—
594	#2929	—	47	1	no	—
595	C₂×C₈×D₄	—	47	1	no	—
596	#2925	—	47	1	no	—
597	#2924	—	47	1	no	—
598	#2924	—	47	1	no	—
599	C₄×#131	—	47	1	no	—
600	C₂×#405	—	47	1	no	—
601	C₂×#405	D₄₇	1	1	yes	characteristic, complemented
602	C₂×C₄₇	—	2	2	no	—
603	C₂×C₄₇	—	2	2	no	—
604	C₂×C₄₇	—	4	1	no	—
605	C₂×C₄₇	C₂×C₄×#41	1	1	yes	characteristic
606	C₂×C₄₇	C₂²×#131	1	1	yes	characteristic
607	C₂×C₄₇	#3573	1	1	yes	characteristic
608	D₄₇	—	2	2	no	—
609	D₄₇	—	4	2	no	—
610	D₄₇	—	4	1	no	—
611	C₂×#131	—	47	1	no	—
612	C₂×#131	—	47	1	no	—
613	C₂²×M₁₆	—	47	1	no	—
614	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic
615	C₂³×C₈	—	47	1	no	—
616	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic
617	#556	—	47	1	no	—
618	#555	—	47	1	no	—
619	#554	—	47	1	no	—
620	#553	—	47	1	no	—
621	#553	—	47	1	no	—
622	#552	—	47	2	no	—
623	#552	—	47	1	no	—
624	#552	—	47	1	no	—
625	#551	—	47	2	no	—
626	#551	—	47	2	no	—
627	#547	—	47	1	no	—
628	#546	—	47	2	no	—
629	#533	—	47	1	no	—
630	#529	—	47	2	no	—
631	#529	—	47	2	no	—
632	#529	—	47	2	no	—
633	#525	—	47	1	no	—
634	#525	—	47	1	no	—
635	C₄×#41	—	47	1	no	—
636	C₄×#41	—	47	2	no	—
637	C₂×C₄×D₄	—	47	1	no	—
638	C₂×#117	—	47	1	no	—
639	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
640	#446	—	47	2	no	—
641	#446	—	47	2	no	—
642	#446	—	47	2	no	—
643	#446	—	47	2	no	—
644	#446	—	47	2	no	—
645	C₈×Q₈	—	47	2	no	—
646	C₈×Q₈	—	47	2	no	—
647	C₈×Q₈	—	47	2	no	—
648	#436	—	47	2	no	—
649	#436	—	47	2	no	—
650	#436	—	47	2	no	—
651	#435	—	47	2	no	—
652	#435	—	47	2	no	—
653	#435	—	47	2	no	—
654	#435	—	47	2	no	—
655	#435	—	47	2	no	—
656	#435	—	47	2	no	—
657	#435	—	47	2	no	—
658	#435	—	47	2	no	—
659	#435	—	47	2	no	—
660	#435	—	47	2	no	—
661	C₈×D₄	—	47	1	no	—
662	C₈×D₄	—	47	1	no	—
663	C₈×D₄	—	47	1	no	—
664	C₈×D₄	—	47	1	no	—
665	C₈×D₄	—	47	1	no	—
666	C₈×D₄	—	47	1	no	—
667	C₈×D₄	—	47	1	no	—
668	C₈×D₄	—	47	1	no	—
669	C₈×D₄	—	47	2	no	—
670	C₈×D₄	—	47	2	no	—
671	C₈×D₄	—	47	2	no	—
672	C₈×D₄	—	47	2	no	—
673	C₈×D₄	—	47	2	no	—
674	C₈×D₄	—	47	2	no	—
675	C₈×D₄	—	47	2	no	—
676	#433	—	47	2	no	—
677	#433	—	47	2	no	—
678	#433	—	47	2	no	—
679	#433	—	47	2	no	—
680	#433	—	47	2	no	—
681	#433	—	47	2	no	—
682	#432	—	47	2	no	—
683	#432	—	47	2	no	—
684	#432	—	47	2	no	—
685	#431	—	47	2	no	—
686	#431	—	47	2	no	—
687	#431	—	47	2	no	—
688	#424	—	47	1	no	—
689	#424	—	47	1	no	—
690	#424	—	47	1	no	—
691	#424	—	47	1	no	—
692	#423	—	47	1	no	—
693	C₂×C₄⋊C₈	—	47	1	no	—
694	#408	—	47	1	no	—
695	#408	—	47	1	no	—
696	#407	—	47	1	no	—
697	#407	—	47	1	no	—
698	C₂×C₂²⋊C₈	—	47	1	no	—
699	C₂×C₂²⋊C₈	—	47	1	no	—
700	#405	—	47	1	no	—
701	#405	—	47	1	no	—
702	#405	—	47	1	no	—
703	#405	—	47	1	no	—
704	#405	—	47	2	no	—
705	#405	—	47	2	no	—
706	#405	—	47	2	no	—
707	#405	—	47	2	no	—
708	#405	C₂×D₄₇	1	1	yes	characteristic
709	#405	C₂×D₄₇	1	1	yes	characteristic
710	#405	C₂×D₄₇	1	1	yes	characteristic
711	#405	C₂×D₄₇	1	1	yes	characteristic
712	#405	C₂×D₄₇	1	2	yes	complemented
713	#405	C₂×D₄₇	1	2	yes	complemented
714	C₄×M₁₆	—	47	1	no	—
715	C₄×M₁₆	—	47	2	no	—
716	C₂×#97	—	47	2	no	—
717	C₂×#97	C₂×D₄₇	1	2	yes	complemented
718	C₂×C₄×C₈	—	47	1	no	—
719	C₂×C₄×C₈	—	47	2	no	—
720	C₂×C₄×C₈	—	47	2	no	—
721	C₂×C₄×C₈	C₂×D₄₇	1	2	yes	complemented
722	C₄₇	#60215	1	1	yes	characteristic, complemented, Sylow
723	C₂×#41	—	47	2	no	—
724	C₂×#41	—	47	1	no	—
725	C₂²×D₄	—	47	1	no	—
726	C₂³×C₄	—	47	1	no	—
727	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
728	#131	—	94	4	no	—
729	#131	—	94	4	no	—
730	C₂×M₁₆	—	2	4	no	—
731	C₂×M₁₆	—	47	1	no	—
732	C₂×M₁₆	—	47	1	no	—
733	C₂×M₁₆	—	47	2	no	—
734	C₂×M₁₆	—	47	2	no	—
735	C₂×M₁₆	—	47	2	no	—
736	C₂×M₁₆	—	94	4	no	—
737	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
738	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
739	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
740	C₂²×C₈	—	2	4	no	—
741	C₂²×C₈	—	47	1	no	—
742	C₂²×C₈	—	47	1	no	—
743	C₂²×C₈	—	47	1	no	—
744	C₂²×C₈	—	47	1	no	—
745	C₂²×C₈	—	47	2	no	—
746	C₂²×C₈	—	47	2	no	—
747	C₂²×C₈	—	47	1	no	—
748	C₂²×C₈	—	47	1	no	—
749	C₂²×C₈	—	47	2	no	—
750	C₂²×C₈	—	94	4	no	—
751	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
752	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
753	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
754	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
755	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
756	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
757	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
758	C₄⋊Q₈	—	47	1	no	—
759	C₄⋊Q₈	—	47	1	no	—
760	#126	—	47	2	no	—
761	#126	—	47	2	no	—
762	#126	—	47	2	no	—
763	#126	—	47	2	no	—
764	#126	—	47	2	no	—
765	#126	—	47	2	no	—
766	#125	—	47	2	no	—
767	#125	—	47	2	no	—
768	#125	—	47	1	no	—
769	#125	—	47	1	no	—
770	#125	—	47	2	no	—
771	#124	—	47	2	no	—
772	#124	—	47	2	no	—
773	#124	—	47	2	no	—
774	#123	—	47	2	no	—
775	#123	—	47	2	no	—
776	#123	—	47	2	no	—
777	#123	—	47	2	no	—
778	#123	—	47	2	no	—
779	#123	—	47	2	no	—
780	#123	—	47	2	no	—
781	#123	—	47	2	no	—
782	C₂²⋊Q₈	—	47	1	no	—
783	C₂²⋊Q₈	—	47	1	no	—
784	C₂²⋊Q₈	—	47	2	no	—
785	C₂²⋊Q₈	—	47	1	no	—
786	C₂²⋊Q₈	—	47	1	no	—
787	C₂²⋊Q₈	—	47	2	no	—
788	C₂²⋊Q₈	—	47	2	no	—
789	C₂²⋊Q₈	—	47	2	no	—
790	C₂²⋊Q₈	—	47	2	no	—
791	#121	—	47	1	no	—
792	#121	—	47	1	no	—
793	#121	—	47	2	no	—
794	#121	—	47	1	no	—
795	#121	—	47	1	no	—
796	#121	—	47	2	no	—
797	#121	—	47	2	no	—
798	#120	—	47	2	no	—
799	#120	—	47	2	no	—
800	C₄×Q₈	—	47	1	no	—
801	C₄×Q₈	—	47	1	no	—
802	C₄×Q₈	—	47	2	no	—
803	C₄×Q₈	—	47	2	no	—
804	C₄×Q₈	—	47	2	no	—
805	C₄×D₄	—	47	1	no	—
806	C₄×D₄	—	47	1	no	—
807	C₄×D₄	—	47	1	no	—
808	C₄×D₄	—	47	1	no	—
809	C₄×D₄	—	47	2	no	—
810	C₄×D₄	—	47	2	no	—
811	C₄×D₄	—	47	1	no	—
812	C₄×D₄	—	47	1	no	—
813	C₄×D₄	—	47	1	no	—
814	C₄×D₄	—	47	1	no	—
815	C₄×D₄	—	47	2	no	—
816	C₄×D₄	—	47	2	no	—
817	C₄×D₄	—	47	1	no	—
818	C₄×D₄	—	47	1	no	—
819	C₄×D₄	—	47	2	no	—
820	C₄×D₄	—	47	2	no	—
821	C₄×D₄	—	47	2	no	—
822	C₄×D₄	—	47	2	no	—
823	C₄×D₄	—	47	2	no	—
824	#117	—	47	2	no	—
825	#117	—	47	1	no	—
826	#117	—	47	1	no	—
827	#117	—	47	1	no	—
828	#117	—	47	2	no	—
829	#117	—	47	2	no	—
830	#117	—	47	2	no	—
831	#117	—	47	2	no	—
832	#117	—	47	2	no	—
833	#117	C₄×D₄₇	1	2	yes	—
834	#117	C₄×D₄₇	1	1	yes	characteristic
835	#117	C₄×D₄₇	1	1	yes	characteristic
836	#117	C₂²×D₄₇	1	1	yes	characteristic
837	#117	C₂²×D₄₇	1	1	yes	characteristic
838	#117	C₂²×D₄₇	1	2	yes	—
839	C₂×C₄⋊C₄	—	47	1	no	—
840	C₂×C₄⋊C₄	—	47	1	no	—
841	C₂×C₄⋊C₄	—	47	1	no	—
842	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	47	1	no	—
845	C₂×C₂²⋊C₄	—	47	1	no	—
846	C₂×C₂²⋊C₄	—	47	2	no	—
847	C₂×C₂²⋊C₄	C₄×D₄₇	1	2	yes	—
848	C₂×C₄²	—	47	1	no	—
849	C₂×C₄²	—	47	2	no	—
850	C₂×C₄²	—	47	2	no	—
851	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
852	C₄⋊C₈	—	47	1	no	—
853	C₄⋊C₈	—	47	1	no	—
854	C₄⋊C₈	—	47	1	no	—
855	C₄⋊C₈	—	47	1	no	—
856	C₄⋊C₈	—	47	2	no	—
857	C₄⋊C₈	—	47	2	no	—
858	C₄⋊C₈	—	47	2	no	—
859	C₄⋊C₈	—	47	2	no	—
860	C₄⋊C₈	—	47	2	no	—
861	C₄⋊C₈	—	47	2	no	—
862	C₄⋊C₈	—	47	2	no	—
863	C₄⋊C₈	—	47	2	no	—
864	C₄⋊C₈	—	47	2	no	—
865	C₄⋊C₈	—	47	2	no	—
866	C₂²⋊C₈	—	47	1	no	—
867	C₂²⋊C₈	—	47	1	no	—
868	C₂²⋊C₈	—	47	1	no	—
869	C₂²⋊C₈	—	47	1	no	—
870	C₂²⋊C₈	—	47	2	no	—
871	C₂²⋊C₈	—	47	2	no	—
872	C₂²⋊C₈	—	47	1	no	—
873	C₂²⋊C₈	—	47	1	no	—
874	C₂²⋊C₈	—	47	1	no	—
875	C₂²⋊C₈	—	47	1	no	—
876	C₂²⋊C₈	—	47	2	no	—
877	C₂²⋊C₈	—	47	2	no	—
878	C₂²⋊C₈	—	47	2	no	—
879	C₂²⋊C₈	—	47	2	no	—
880	C₂²⋊C₈	—	47	2	no	—
881	C₂²⋊C₈	—	47	2	no	—
882	#97	—	47	2	no	—
883	#97	—	47	2	no	—
884	#97	—	47	2	no	—
885	#97	—	47	2	no	—
886	#97	—	47	2	no	—
887	#97	C₂²×D₄₇	1	2	yes	—
888	#97	C₂²×D₄₇	1	2	yes	—
889	#97	C₂²×D₄₇	1	2	yes	—
890	#97	C₂²×D₄₇	1	2	yes	—
891	C₄×C₈	—	47	1	no	—
892	C₄×C₈	—	47	2	no	—
893	C₄×C₈	—	47	1	no	—
894	C₄×C₈	—	47	2	no	—
895	C₄×C₈	—	47	1	no	—
896	C₄×C₈	—	47	2	no	—
897	C₄×C₈	—	47	1	no	—
898	C₄×C₈	—	47	2	no	—
899	C₄×C₈	—	47	2	no	—
900	C₄×C₈	C₂²×D₄₇	1	2	yes	—
901	C₄×C₈	C₂²×D₄₇	1	2	yes	—
902	C₄×C₈	C₂²×D₄₇	1	2	yes	—
903	C₄×C₈	C₂²×D₄₇	1	2	yes	—
904	C₂⁴	—	47	1	no	—
905	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
906	#41	—	94	8	no	—
907	#41	—	94	2	no	—
908	#41	—	94	2	no	—
909	C₂×Q₈	—	47	1	no	—
910	C₂×Q₈	—	47	2	no	—
911	C₂×Q₈	—	47	2	no	—
912	C₂×D₄	—	47	1	no	—
913	C₂×D₄	—	47	2	no	—
914	C₂×D₄	—	47	2	no	—
915	C₂×D₄	—	47	1	no	—
916	C₂×D₄	—	47	1	no	—
917	C₂×D₄	—	47	1	no	—
918	C₂×D₄	—	47	2	no	—
919	C₂×D₄	—	47	2	no	—
920	C₂×D₄	—	47	1	no	—
921	C₂×D₄	—	47	2	no	—
922	C₂×D₄	—	94	4	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	47	1	no	—
926	C₂²×C₄	—	47	1	no	—
927	C₂²×C₄	—	47	1	no	—
928	C₂²×C₄	—	47	2	no	—
929	C₂²×C₄	—	47	2	no	—
930	C₂²×C₄	—	47	1	no	—
931	C₂²×C₄	—	47	1	no	—
932	C₂²×C₄	—	47	1	no	—
933	C₂²×C₄	—	47	2	no	—
934	C₂²×C₄	—	47	1	no	—
935	C₂²×C₄	—	47	2	no	—
936	C₂²×C₄	—	47	2	no	—
937	C₂²×C₄	—	94	2	no	—
938	C₂²×C₄	—	94	2	no	—
939	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
940	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
941	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
942	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
943	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
944	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
945	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
946	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
947	M₁₆	—	2	2	no	—
948	M₁₆	—	2	4	no	—
949	M₁₆	—	94	2	no	—
950	M₁₆	—	94	2	no	—
951	M₁₆	—	94	4	no	—
952	M₁₆	—	94	4	no	—
953	M₁₆	—	94	4	no	—
954	M₁₆	#10625350	1	4	yes	complemented
955	C₂×C₈	—	2	2	no	—
956	C₂×C₈	—	2	2	no	—
957	C₂×C₈	—	2	2	no	—
958	C₂×C₈	—	2	2	no	—
959	C₂×C₈	—	2	2	no	—
960	C₂×C₈	—	2	4	no	—
961	C₂×C₈	—	47	1	no	—
962	C₂×C₈	—	47	1	no	—
963	C₂×C₈	—	47	1	no	—
964	C₂×C₈	—	47	2	no	—
965	C₂×C₈	—	47	2	no	—
966	C₂×C₈	—	47	1	no	—
967	C₂×C₈	—	94	2	no	—
968	C₂×C₈	—	94	2	no	—
969	C₂×C₈	—	94	2	no	—
970	C₂×C₈	—	94	2	no	—
971	C₂×C₈	—	94	2	no	—
972	C₂×C₈	—	94	2	no	—
973	C₂×C₈	—	94	4	no	—
974	C₂×C₈	—	94	4	no	—
975	C₂×C₈	—	94	4	no	—
976	C₂×C₈	#10625350	1	4	yes	complemented
977	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
978	C₂×C₈	C₂³×D₄₇	1	2	yes	—
979	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
980	C₂×C₈	C₂³×D₄₇	1	2	yes	—
981	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
982	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
983	C₄⋊C₄	—	47	1	no	—
984	C₄⋊C₄	—	47	2	no	—
985	C₄⋊C₄	—	47	2	no	—
986	C₄⋊C₄	—	47	1	no	—
987	C₄⋊C₄	—	47	1	no	—
988	C₄⋊C₄	—	47	1	no	—
989	C₄⋊C₄	—	47	2	no	—
990	C₄⋊C₄	—	47	2	no	—
991	C₄⋊C₄	—	47	2	no	—
992	C₄⋊C₄	—	47	2	no	—
993	C₄⋊C₄	—	47	2	no	—
994	C₄⋊C₄	—	47	2	no	—
995	C₄⋊C₄	—	47	2	no	—
996	C₄⋊C₄	—	47	2	no	—
997	C₄⋊C₄	—	47	1	no	—
998	C₄⋊C₄	—	47	1	no	—
999	C₄⋊C₄	—	47	2	no	—
1000	C₄⋊C₄	—	47	2	no	—
1001	C₄⋊C₄	—	47	2	no	—
1002	C₄⋊C₄	—	47	2	no	—
1003	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1005	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1006	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1007	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1008	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1009	C₂²⋊C₄	—	47	1	no	—
1010	C₂²⋊C₄	—	47	2	no	—
1011	C₂²⋊C₄	—	47	1	no	—
1012	C₂²⋊C₄	—	47	1	no	—
1013	C₂²⋊C₄	—	47	1	no	—
1014	C₂²⋊C₄	—	47	2	no	—
1015	C₂²⋊C₄	—	47	2	no	—
1016	C₂²⋊C₄	—	47	1	no	—
1017	C₂²⋊C₄	—	47	2	no	—
1018	C₂²⋊C₄	—	47	2	no	—
1019	C₂²⋊C₄	—	47	1	no	—
1020	C₂²⋊C₄	—	47	1	no	—
1021	C₂²⋊C₄	—	47	1	no	—
1022	C₂²⋊C₄	—	47	2	no	—
1023	C₂²⋊C₄	—	47	2	no	—
1024	C₂²⋊C₄	—	47	2	no	—
1025	C₂²⋊C₄	—	47	2	no	—
1026	C₂²⋊C₄	—	47	2	no	—
1027	C₂²⋊C₄	—	47	2	no	—
1028	C₂²⋊C₄	—	47	2	no	—
1029	C₂²⋊C₄	—	47	2	no	—
1030	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1031	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1032	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1033	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1034	C₄²	—	47	2	no	—
1035	C₄²	—	47	2	no	—
1036	C₄²	—	47	2	no	—
1037	C₄²	—	47	1	no	—
1038	C₄²	—	47	1	no	—
1039	C₄²	—	47	2	no	—
1040	C₄²	—	47	1	no	—
1041	C₄²	—	47	1	no	—
1042	C₄²	—	47	2	no	—
1043	C₄²	C₂×C₄×D₄₇	1	2	yes	—
1044	C₄²	C₂×C₄×D₄₇	1	2	yes	—
1045	C₄²	C₂³×D₄₇	1	2	yes	—
1046	C₄²	C₂³×D₄₇	1	2	yes	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	4	1	no	—
1050	C₂³	—	47	1	no	—
1051	C₂³	—	47	1	no	—
1052	C₂³	—	47	2	no	—
1053	C₂³	—	94	2	no	—
1054	C₂³	—	94	2	no	—
1055	C₂³	—	188	1	no	—
1056	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1057	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1058	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1059	Q₈	—	94	4	no	—
1060	Q₈	—	94	2	no	—
1061	Q₈	—	188	2	no	—
1062	D₄	—	47	4	no	—
1063	D₄	—	94	4	no	—
1064	D₄	—	94	2	no	—
1065	D₄	—	94	2	no	—
1066	D₄	—	94	4	no	—
1067	D₄	—	94	2	no	—
1068	D₄	—	94	4	no	—
1069	D₄	—	94	2	no	—
1070	D₄	—	188	2	no	—
1071	D₄	—	188	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	4	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	47	1	no	—
1082	C₂×C₄	—	47	1	no	—
1083	C₂×C₄	—	47	1	no	—
1084	C₂×C₄	—	47	1	no	—
1085	C₂×C₄	—	47	2	no	—
1086	C₂×C₄	—	47	2	no	—
1087	C₂×C₄	—	47	2	no	—
1088	C₂×C₄	—	47	1	no	—
1089	C₂×C₄	—	47	1	no	—
1090	C₂×C₄	—	94	4	no	—
1091	C₂×C₄	—	94	4	no	—
1092	C₂×C₄	—	94	2	no	—
1093	C₂×C₄	—	94	2	no	—
1094	C₂×C₄	—	94	2	no	—
1095	C₂×C₄	—	94	2	no	—
1096	C₂×C₄	—	94	1	no	—
1097	C₂×C₄	—	94	1	no	—
1098	C₂×C₄	—	94	1	no	—
1099	C₂×C₄	—	94	2	no	—
1100	C₂×C₄	—	94	2	no	—
1101	C₂×C₄	—	94	1	no	—
1102	C₂×C₄	—	188	2	no	—
1103	C₂×C₄	—	188	2	no	—
1104	C₂×C₄	—	188	1	no	—
1105	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1106	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1107	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1108	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1109	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1110	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1111	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1112	C₂×C₄	C₂×#10625350	1	2	yes	—
1113	C₂×C₄	C₂×#10625350	1	2	yes	—
1114	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	2	no	—
1118	C₈	—	94	1	no	—
1119	C₈	—	94	1	no	—
1120	C₈	—	94	1	no	—
1121	C₈	—	94	2	no	—
1122	C₈	—	94	2	no	—
1123	C₈	—	94	1	no	—
1124	C₈	C₂×#10625350	1	2	yes	—
1125	C₈	C₂×#10625350	1	2	yes	—
1126	C₈	C₂×#10625350	1	4	yes	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	4	4	no	—
1135	C₂²	—	47	2	no	—
1136	C₂²	—	94	1	no	—
1137	C₂²	—	94	1	no	—
1138	C₂²	—	94	2	no	—
1139	C₂²	—	94	1	no	—
1140	C₂²	—	94	2	no	—
1141	C₂²	—	94	1	no	—
1142	C₂²	—	94	1	no	—
1143	C₂²	—	94	2	no	—
1144	C₂²	—	188	4	no	—
1145	C₂²	C₄×#10625350	1	2	yes	—
1146	C₂²	#131×D₄₇	1	2	yes	—
1147	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	47	2	no	—
1155	C₄	—	94	1	no	—
1156	C₄	—	94	2	no	—
1157	C₄	—	94	1	no	—
1158	C₄	—	94	2	no	—
1159	C₄	—	94	1	no	—
1160	C₄	—	94	1	no	—
1161	C₄	—	94	1	no	—
1162	C₄	—	94	2	no	—
1163	C₄	C₄×#10625350	1	2	yes	—
1164	C₄	C₂²×#10625350	1	1	yes	characteristic
1165	C₄	C₂²×#10625350	1	1	yes	characteristic
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	94	2	no	—
1170	C₂	—	188	1	no	—
1171	C₂	—	188	2	no	—
1172	C₂	C₂×C₄×#10625350	1	1	yes	characteristic
1173	C₂	C₂×#131×D₄₇	1	1	yes	characteristic
1174	C₂	#20258099	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂³×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#405	C₂
prime radical	#20256942	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	C₂×#405	D₄₇
hypocenter	C₄₇	#60215
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₈ ◁ C₂×#405

Complements

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

N	H ≅ G/N	type
2. #20252399	C₂	semidirect
3. #20252388	C₂	semidirect
4. #20252382	C₂	semidirect
5. #20252378	C₂	semidirect
6. #20252363	C₂	semidirect
7. #20252359	C₂	semidirect
8. #20252359	C₂	semidirect
9. C₈×#10625350	C₂	semidirect
10. #20252332	C₂	semidirect
11. #20252320	C₂	semidirect
12. M₁₆×C₂²⋊D₄₇	C₂	semidirect
13. #20252116	C₂	semidirect
14. #20252113	C₂	semidirect
15. #20252084	C₂	semidirect
16. #20252082	C₂	semidirect
17. C₂×C₈×C₂²⋊D₄₇	C₂	semidirect
18. #20252052	C₂	semidirect
19. #20252046	C₂	semidirect
20. #20252043	C₂	semidirect
21. #20251810	C₂	semidirect
22. #405×D₄₇	C₂	semidirect
23. C₂×C₄₇×#405	C₂	semidirect
50. #15689253	C₂²	semidirect
51. #15689251	C₂²	semidirect
52. #15689251	C₂²	semidirect
53. #15689251	C₂²	semidirect
54. #15689251	C₂²	semidirect
55. C₈×Dic₉₄	C₂²	semidirect
56. C₈×Dic₉₄	C₂²	semidirect
57. C₈×Dic₉₄	C₂²	semidirect
58. #15689202	C₂²	semidirect
60. #15689199	C₂²	semidirect
61. #15689196	C₂²	semidirect
62. #15689196	C₂²	semidirect
63. #15689196	C₂²	semidirect
64. #15689196	C₂²	semidirect
66. #15689194	C₂²	semidirect
67. #15689194	C₂²	semidirect
68. #15689194	C₂²	semidirect
70. #15689192	C₂²	semidirect
71. C₈×D₁₈₈	C₂²	semidirect
72. C₈×D₁₈₈	C₂²	semidirect
73. C₈×D₁₈₈	C₂²	semidirect
83. C₈×C₂²⋊D₄₇	C₂²	semidirect
84. C₈×C₂²⋊D₄₇	C₂²	semidirect
85. C₈×C₂²⋊D₄₇	C₂²	semidirect
86. #15689185	C₂²	semidirect
87. #15689185	C₂²	semidirect
88. #15689184	C₂²	semidirect
89. #15689184	C₂²	semidirect
90. #15689182	C₂²	semidirect
91. #15689182	C₂²	semidirect
92. #15689180	C₂²	semidirect
93. #15689178	C₂²	semidirect
94. #15689178	C₂²	semidirect
95. #15689176	C₂²	semidirect
96. #15689174	C₂²	semidirect
97. #15689174	C₂²	semidirect
111. #15689080	C₂²	semidirect
112. #15689080	C₂²	semidirect
116. #15689077	C₂²	semidirect
117. #15689077	C₂²	semidirect
118. #15689075	C₂²	semidirect
120. #97×D₄₇	C₂²	semidirect
122. C₄×C₈×D₄₇	C₂²	semidirect
123. C₄×C₈×D₄₇	C₂²	semidirect
131. C₄₇×#405	C₂²	semidirect
132. C₄₇×#405	C₂²	semidirect
133. C₂×#97×C₄₇	C₂²	semidirect
134. C₂×C₄×C₈×C₄₇	C₂²	semidirect
361. M₁₆×C₄₇	#41	semidirect
368. C₂×C₈×C₄₇	#41	semidirect
496. C₂²⋊D₄₇	#131	semidirect
601. C₂×#405	D₄₇	semidirect
712. #405	C₂×D₄₇	semidirect
713. #405	C₂×D₄₇	semidirect
717. C₂×#97	C₂×D₄₇	semidirect
721. C₂×C₄×C₈	C₂×D₄₇	semidirect
722. C₄₇	#60215	semidirect
954. M₁₆	#10625350	semidirect
976. C₂×C₈	#10625350	semidirect

Maximal subgroups

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

subgroup	index
#20256942	2
#20252399	2
#20252388	2
#20252382	2
#20252378	2
#20252363	2
#20252359	2
C₈×#10625350	2
#20252332	2
#20252320	2
M₁₆×C₂²⋊D₄₇	2
#20252116	2
#20252113	2
#20252084	2
#20252082	2
C₂×C₈×C₂²⋊D₄₇	2
#20252052	2
#20252046	2
#20252043	2
#20251810	2
#405×D₄₇	2
C₂×C₄₇×#405	2
#60215	47