Subgroups — #27081416

Order 12032.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256680	C₂	1	1	yes	maximal, characteristic
2	#20252545	C₂	1	2	yes	maximal, complemented
3	#20252541	C₂	1	2	yes	maximal, complemented
4	#20252528	C₂	1	2	yes	maximal, complemented
5	#20252521	C₂	1	2	yes	maximal, complemented
6	#20252511	C₂	1	2	yes	maximal, complemented
7	#20252508	C₂	1	2	yes	maximal, complemented
8	#20252500	C₂	1	2	yes	maximal, complemented
9	#20252495	C₂	1	2	yes	maximal, complemented
10	#20252334	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252332	C₂	1	1	yes	maximal, characteristic, complemented
12	#20252130	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252128	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252083	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252082	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252078	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252052	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252050	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252017	C₂	1	1	yes	maximal, characteristic, complemented
20	#20251955	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251954	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×Dic₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2929	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094032	C₂²	1	1	yes	characteristic
25	C₂×#13094031	C₂²	1	1	yes	characteristic
26	C₂×#13094030	C₂²	1	1	yes	characteristic
27	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
28	#15689676	C₂²	1	1	yes	characteristic
29	#15689675	C₄	1	1	yes	characteristic
30	#15689675	C₄	1	1	yes	characteristic
31	#15689669	C₂²	1	1	yes	characteristic
32	#15689668	C₄	1	1	yes	characteristic
33	#15689668	C₄	1	1	yes	characteristic
34	#15689659	C₄	1	1	yes	characteristic
35	#15689659	C₄	1	1	yes	characteristic
36	#15689654	C₄	1	1	yes	characteristic
37	#15689654	C₄	1	1	yes	characteristic
38	#15689653	C₂²	1	2	yes	—
39	#15689653	C₂²	1	2	yes	—
40	#15689650	C₄	1	2	yes	—
41	#15689650	C₄	1	2	yes	—
42	#15689634	C₂²	1	1	yes	characteristic
43	#15689629	C₄	1	2	yes	—
44	#15689629	C₄	1	2	yes	—
45	#41×Dic₄₇	C₂²	1	1	yes	characteristic
46	#15689591	C₂²	1	1	yes	characteristic
47	C₄×#10625352	C₂²	1	2	yes	—
48	C₄×#10625352	C₂²	1	2	yes	—
49	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
50	#15689253	C₂²	1	2	yes	complemented
51	#15689252	C₂²	1	2	yes	complemented
52	#15689252	C₂²	1	2	yes	complemented
53	#15689251	C₂²	1	2	yes	complemented
54	#15689251	C₂²	1	2	yes	complemented
55	#15689250	C₂²	1	2	yes	complemented
56	C₈×Dic₉₄	C₂²	1	2	yes	complemented
57	#15689247	C₂²	1	2	yes	complemented
58	#15689199	C₂²	1	2	yes	complemented
59	#15689198	C₂²	1	2	yes	complemented
60	#15689197	C₂²	1	2	yes	complemented
61	#15689195	C₂²	1	2	yes	—
62	#15689195	C₂²	1	2	yes	—
63	#15689194	C₂²	1	2	yes	—
64	#15689194	C₂²	1	2	yes	—
65	#15689194	C₂²	1	2	yes	complemented
66	#15689192	C₂²	1	2	yes	complemented
67	#15689191	C₂²	1	2	yes	—
68	#15689191	C₂²	1	2	yes	—
69	#15689191	C₂²	1	2	yes	complemented
70	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
71	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
72	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	—
73	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
75	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	—
76	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	—
77	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
78	#15689185	C₂²	1	2	yes	complemented
79	#15689182	C₂²	1	2	yes	complemented
80	#15689181	C₂²	1	2	yes	complemented
81	#15689181	C₂²	1	2	yes	complemented
82	#15689178	C₂²	1	2	yes	complemented
83	#15689177	C₂²	1	2	yes	—
84	#15689177	C₂²	1	2	yes	—
85	#15689177	C₂²	1	2	yes	complemented
86	#15689174	C₂²	1	2	yes	complemented
87	#15689173	C₂²	1	2	yes	—
88	#15689173	C₂²	1	2	yes	—
89	#15689173	C₂²	1	2	yes	complemented
90	#15689151	C₂²	1	1	yes	characteristic
91	#15689151	C₂²	1	2	yes	complemented
92	#15689150	C₂²	1	1	yes	characteristic
93	#15689149	C₂²	1	1	yes	characteristic
94	#15689149	C₂²	1	2	yes	complemented
95	#15689148	C₂²	1	2	yes	complemented
96	#15689148	C₂²	1	2	yes	complemented
97	#15689146	C₂²	1	1	yes	characteristic
98	#15689146	C₂²	1	1	yes	characteristic
99	#15689146	C₂²	1	2	yes	complemented
100	#15689145	C₂²	1	2	yes	complemented
101	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
102	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
103	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
104	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
105	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
106	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
107	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
108	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
109	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
110	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
111	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
112	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
113	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	complemented
114	C₄⋊C₈×D₄₇	C₂²	1	2	yes	complemented
115	#15689091	C₂²	1	1	yes	characteristic
116	#15689090	C₂²	1	1	yes	characteristic
117	#15689089	C₂²	1	1	yes	characteristic
118	#15689087	C₂²	1	1	yes	characteristic
119	#15689081	C₂²	1	1	yes	characteristic
120	#15689079	C₂²	1	1	yes	characteristic
121	#15689078	C₂²	1	1	yes	characteristic
122	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic
123	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic
124	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic
125	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
126	C₄₇×#525	C₂²	1	1	yes	characteristic
127	C₄₇×#435	C₂²	1	2	yes	—
128	C₄₇×#435	C₂²	1	2	yes	—
129	C₈×D₄×C₄₇	C₂²	1	2	yes	—
130	C₈×D₄×C₄₇	C₂²	1	2	yes	—
131	C₄₇×#424	C₂²	1	1	yes	characteristic
132	C₄₇×#408	C₂²	1	1	yes	characteristic
133	C₄₇×#407	C₂²	1	1	yes	characteristic
134	C₄₇×#405	C₂²	1	1	yes	characteristic
135	C₂×#10625350	C₂³	1	1	yes	characteristic
136	C₂×#10625352	C₂×C₄	1	2	yes	—
137	C₂×#10625352	C₂×C₄	1	2	yes	—
138	C₂³×Dic₄₇	C₂×C₄	1	1	yes	characteristic
139	C₂³×Dic₄₇	C₂×C₄	1	1	yes	characteristic
140	#13094032	—	4	2	no	—
141	#13094031	—	4	2	no	—
142	#13094030	—	4	2	no	—
143	C₂×#10625329	C₂³	1	1	yes	characteristic
144	C₂×#10625329	C₂³	1	1	yes	characteristic
145	C₂×#10625329	C₂³	1	2	yes	—
146	C₂×#10625324	C₂³	1	2	yes	—
147	C₂×#10625324	C₂³	1	2	yes	—
148	C₂²×C₄₇⋊C₈	—	4	2	no	—
149	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
150	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
151	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
152	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
153	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
154	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
155	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
156	C₂×C₈×D₄₇	C₂³	1	2	yes	—
157	C₂×C₈×D₄₇	C₂³	1	2	yes	—
158	#13094023	C₂×C₄	1	1	yes	characteristic
159	#13094023	C₂×C₄	1	1	yes	characteristic
160	#13094022	C₂×C₄	1	1	yes	characteristic
161	#13094020	C₂×C₄	1	1	yes	characteristic
162	#13094019	C₂×C₄	1	2	yes	—
163	#13094019	C₂×C₄	1	2	yes	—
164	#13094017	C₂×C₄	1	2	yes	—
165	#13094017	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	#13094013	C₂×C₄	1	1	yes	characteristic
171	#13094011	C₂×C₄	1	1	yes	characteristic
172	#13094010	C₂×C₄	1	2	yes	—
173	#13094010	C₂×C₄	1	2	yes	—
174	#13094008	C₂×C₄	1	2	yes	—
175	#13094008	C₂×C₄	1	2	yes	—
176	#13094007	C₂×C₄	1	2	yes	—
177	#13094005	C₂×C₄	1	2	yes	—
178	#13094005	C₂×C₄	1	2	yes	—
179	#13094003	C₂×C₄	1	1	yes	characteristic
180	#13094003	C₂×C₄	1	1	yes	characteristic
181	#13094001	C₂×C₄	1	2	yes	—
182	#13094001	C₂×C₄	1	2	yes	—
183	#13094001	C₂×C₄	1	2	yes	—
184	#13094001	C₂×C₄	1	2	yes	—
185	#13093998	C₂×C₄	1	1	yes	characteristic
186	#13093998	C₂×C₄	1	1	yes	characteristic
187	#13093996	C₂×C₄	1	2	yes	—
188	#13093996	C₂×C₄	1	2	yes	—
189	#13093996	C₂×C₄	1	2	yes	—
190	#13093996	C₂×C₄	1	2	yes	—
191	#13093993	C₂×C₄	1	2	yes	—
192	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
193	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
194	C₄×Dic₉₄	C₂³	1	2	yes	—
195	C₄×Dic₉₄	C₂³	1	2	yes	—
196	#13093989	C₂×C₄	1	2	yes	—
197	#13093989	C₂×C₄	1	2	yes	—
198	#13093989	C₂×C₄	1	1	yes	characteristic
199	#13093989	C₂×C₄	1	1	yes	characteristic
200	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
201	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
202	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
203	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
204	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
205	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
206	#13093986	C₂×C₄	1	1	yes	characteristic
207	#13093986	C₂×C₄	1	1	yes	characteristic
208	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
209	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
210	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
211	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
212	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
213	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
214	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
215	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
216	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
217	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
218	#13093983	C₂³	1	1	yes	characteristic
219	#13093983	C₂³	1	2	yes	—
220	#13093982	C₂×C₄	1	2	yes	—
221	#13093982	C₂×C₄	1	2	yes	—
222	#13093981	C₂³	1	2	yes	—
223	#13093980	C₂×C₄	1	2	yes	—
224	#13093980	C₂×C₄	1	2	yes	—
225	#13093980	C₂×C₄	1	2	yes	—
226	#13093980	C₂×C₄	1	2	yes	—
227	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
228	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
229	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
234	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
236	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
237	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
238	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
239	C₂×C₄×Dic₄₇	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	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
244	Dic₄₇⋊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	1	yes	characteristic
248	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
249	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
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	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
256	Dic₄₇⋊C₈	C₂³	1	2	yes	—
257	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
258	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
259	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
260	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
261	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
262	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
263	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
264	Dic₄₇⋊C₈	C₂³	1	2	yes	—
265	Dic₄₇⋊C₈	C₂³	1	2	yes	—
266	Dic₄₇⋊C₈	C₂³	1	2	yes	—
267	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
268	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
269	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
275	#13093935	C₂³	1	2	yes	—
276	#13093934	C₂³	1	2	yes	—
277	#13093934	C₂³	1	2	yes	—
278	#13093934	C₂³	1	2	yes	—
279	#13093934	C₂³	1	2	yes	—
280	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
281	C₈×Dic₄₇	C₂³	1	2	yes	—
282	C₈×Dic₄₇	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	2	yes	—
284	C₈×Dic₄₇	C₂³	1	2	yes	—
285	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
287	#131×C₄₇	—	4	2	no	—
288	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
289	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
290	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
291	C₂²×C₈×C₄₇	—	4	2	no	—
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	1	yes	characteristic
297	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
298	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
299	#123×C₄₇	C₂×C₄	1	2	yes	—
300	C₂²⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
301	C₂²⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
302	#121×C₄₇	C₂×C₄	1	1	yes	characteristic
303	#121×C₄₇	C₂×C₄	1	1	yes	characteristic
304	#120×C₄₇	C₂×C₄	1	2	yes	—
305	C₄×D₄×C₄₇	C₂³	1	2	yes	—
306	C₄×D₄×C₄₇	C₂³	1	2	yes	—
307	#117×C₄₇	C₂³	1	1	yes	characteristic
308	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
309	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
310	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
311	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
312	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
313	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
314	#97×C₄₇	C₂³	1	2	yes	—
315	C₄×C₈×C₄₇	C₂³	1	2	yes	—
316	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
317	#41×C₄₇	—	2	2	no	—
318	#41×C₄₇	—	2	2	no	—
319	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
320	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
321	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
322	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
323	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
324	C₂²×C₄×C₄₇	—	2	2	no	—
325	C₂²×C₄×C₄₇	—	2	2	no	—
326	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
327	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
328	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
329	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
333	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
334	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
335	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
336	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
337	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
338	C₂²×Dic₄₇	—	2	4	no	—
339	C₂²×Dic₄₇	—	4	2	no	—
340	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
341	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
342	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
343	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
344	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
345	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
346	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
347	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
348	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
349	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
350	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
351	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
352	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
353	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
354	#10625352	—	2	8	no	—
355	#10625352	—	4	4	no	—
356	#10625350	—	2	2	no	—
357	#10625350	—	2	2	no	—
358	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
359	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
360	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
361	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
362	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
363	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
364	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
365	M₁₆×C₄₇	—	2	2	no	—
366	M₁₆×C₄₇	—	2	2	no	—
367	M₁₆×C₄₇	—	4	2	no	—
368	C₂×C₈×C₄₇	—	2	2	no	—
369	C₂×C₈×C₄₇	—	2	2	no	—
370	C₂×C₈×C₄₇	—	4	1	no	—
371	C₂×C₈×C₄₇	—	4	1	no	—
372	C₂×C₈×C₄₇	—	4	1	no	—
373	C₂×C₈×C₄₇	—	4	1	no	—
374	C₂×C₈×C₄₇	—	4	2	no	—
375	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
378	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
381	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
382	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
383	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
384	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
385	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
386	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
387	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
388	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
389	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
390	C₄²×C₄₇	C₂⁴	1	2	yes	—
391	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
392	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
393	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
394	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
395	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
396	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
397	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
398	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
399	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
400	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
401	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
402	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
403	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
404	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
405	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
406	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
407	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
408	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
409	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
410	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
411	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
412	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
413	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
414	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
415	Dic₄₇⋊C₄	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	2	yes	—
419	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
420	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
421	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
422	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
423	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
424	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
425	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
426	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
427	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
428	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
429	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
430	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
431	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
432	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
433	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
434	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
435	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
436	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₄×Dic₄₇	C₂⁴	1	2	yes	—
438	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
439	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
440	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
441	#10625329	—	2	2	no	—
442	#10625329	—	2	2	no	—
443	#10625329	—	4	2	no	—
444	C₂×C₄₇⋊C₈	—	2	2	no	—
445	C₂×C₄₇⋊C₈	—	2	2	no	—
446	C₂×C₄₇⋊C₈	—	4	1	no	—
447	C₂×C₄₇⋊C₈	—	4	1	no	—
448	C₂×C₄₇⋊C₈	—	4	1	no	—
449	C₂×C₄₇⋊C₈	—	4	1	no	—
450	C₂×C₄₇⋊C₈	—	4	2	no	—
451	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
452	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
453	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
454	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
455	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
456	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
457	#10625324	—	4	2	no	—
458	#10625324	—	4	2	no	—
459	C₈×D₄₇	—	4	2	no	—
460	C₈×D₄₇	—	4	2	no	—
461	C₂³×C₄₇	—	2	2	no	—
462	C₂³×C₄₇	—	2	2	no	—
463	C₂³×C₄₇	—	2	2	no	—
464	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
465	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
466	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
467	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
468	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
469	Q₈×C₄₇	—	2	2	no	—
470	D₄×C₄₇	—	2	4	no	—
471	D₄×C₄₇	—	2	4	no	—
472	D₄×C₄₇	—	2	4	no	—
473	D₄×C₄₇	—	2	2	no	—
474	C₂×C₄×C₄₇	—	2	2	no	—
475	C₂×C₄×C₄₇	—	2	2	no	—
476	C₂×C₄×C₄₇	—	2	2	no	—
477	C₂×C₄×C₄₇	—	2	1	no	—
478	C₂×C₄×C₄₇	—	2	1	no	—
479	C₂×C₄×C₄₇	—	2	2	no	—
480	C₂×C₄×C₄₇	—	2	1	no	—
481	C₂×C₄×C₄₇	—	2	1	no	—
482	C₂×C₄×C₄₇	—	2	2	no	—
483	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
485	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
486	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
487	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
488	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
489	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
490	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
491	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
492	C₂²⋊D₄₇	—	2	4	no	—
493	C₂²⋊D₄₇	—	2	4	no	—
494	C₂²⋊D₄₇	—	2	4	no	—
495	C₂²⋊D₄₇	—	2	4	no	—
496	C₂²⋊D₄₇	—	4	2	no	—
497	C₂×Dic₄₇	—	2	2	no	—
498	C₂×Dic₄₇	—	2	2	no	—
499	C₂×Dic₄₇	—	2	2	no	—
500	C₂×Dic₄₇	—	2	4	no	—
501	C₂×Dic₄₇	—	2	2	no	—
502	C₂×Dic₄₇	—	2	2	no	—
503	C₂×Dic₄₇	—	2	2	no	—
504	C₂×Dic₄₇	—	2	2	no	—
505	C₂×Dic₄₇	—	4	2	no	—
506	C₂×Dic₄₇	—	4	1	no	—
507	C₂×Dic₄₇	—	4	1	no	—
508	C₂×Dic₄₇	—	4	1	no	—
509	C₂×Dic₄₇	—	4	1	no	—
510	C₂×Dic₄₇	#131	1	4	yes	complemented
511	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
512	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
513	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
514	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
515	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
516	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
517	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
518	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
519	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
520	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
521	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
522	D₁₈₈	—	2	2	no	—
523	C₄×D₄₇	—	2	2	no	—
524	C₄×D₄₇	—	2	2	no	—
525	C₄×D₄₇	—	2	4	no	—
526	C₄×D₄₇	—	4	2	no	—
527	Dic₉₄	—	2	2	no	—
528	Dic₉₄	—	2	4	no	—
529	Dic₉₄	—	4	2	no	—
530	C₈×C₄₇	—	2	1	no	—
531	C₈×C₄₇	—	2	2	no	—
532	C₈×C₄₇	—	2	1	no	—
533	C₈×C₄₇	—	2	1	no	—
534	C₈×C₄₇	—	2	1	no	—
535	C₈×C₄₇	—	2	2	no	—
536	C₄₇⋊C₈	—	2	1	no	—
537	C₄₇⋊C₈	—	2	2	no	—
538	C₄₇⋊C₈	—	2	1	no	—
539	C₄₇⋊C₈	—	2	1	no	—
540	C₄₇⋊C₈	—	2	1	no	—
541	C₄₇⋊C₈	—	2	2	no	—
542	#60265	—	47	1	no	maximal, Sylow
543	C₂²×C₄₇	—	2	8	no	—
544	C₂²×C₄₇	—	2	1	no	—
545	C₂²×C₄₇	—	2	1	no	—
546	C₂²×C₄₇	—	2	1	no	—
547	C₂²×C₄₇	—	2	1	no	—
548	C₂²×C₄₇	—	2	1	no	—
549	C₂²×C₄₇	—	2	1	no	—
550	C₂²×C₄₇	—	2	2	no	—
551	C₂²×C₄₇	—	2	2	no	—
552	C₂²×C₄₇	—	2	2	no	—
553	C₂²×C₄₇	#520	1	2	yes	—
554	C₂²×C₄₇	C₂×#131	1	2	yes	—
555	C₂²×C₄₇	#568	1	2	yes	—
556	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
557	C₂×D₄₇	—	2	2	no	—
558	C₂×D₄₇	—	2	2	no	—
559	C₂×D₄₇	—	2	2	no	—
560	C₄×C₄₇	—	2	1	no	—
561	C₄×C₄₇	—	2	1	no	—
562	C₄×C₄₇	—	2	2	no	—
563	C₄×C₄₇	—	2	2	no	—
564	C₄×C₄₇	—	2	2	no	—
565	C₄×C₄₇	#520	1	2	yes	—
566	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
567	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
568	Dic₄₇	—	2	2	no	—
569	Dic₄₇	—	2	2	no	—
570	Dic₄₇	—	2	1	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	1	no	—
577	Dic₄₇	C₂×#131	1	2	yes	—
578	Dic₄₇	C₂×#131	1	2	yes	—
579	#3444	—	47	1	no	—
580	#2994	—	47	2	no	—
581	#2994	—	47	2	no	—
582	#2992	—	47	2	no	—
583	#2992	—	47	2	no	—
584	#2990	—	47	2	no	—
585	#2990	—	47	2	no	—
586	#2989	—	47	2	no	—
587	#2988	—	47	2	no	—
588	#2962	—	47	1	no	—
589	#2962	—	47	1	no	—
590	#2935	—	47	1	no	—
591	#2935	—	47	1	no	—
592	#2929	—	47	1	no	—
593	#2929	—	47	1	no	—
594	#2929	—	47	1	no	—
595	#2929	D₄₇	1	1	yes	characteristic, complemented
596	#2925	—	47	1	no	—
597	#2925	—	47	1	no	—
598	#2920	—	47	1	no	—
599	#2906	—	47	1	no	—
600	#2906	—	47	1	no	—
601	C₂²×C₄⋊C₈	—	47	1	no	—
602	C₂×C₄₇	—	2	2	no	—
603	C₂×C₄₇	—	2	2	no	—
604	C₂×C₄₇	—	2	2	no	—
605	C₂×C₄₇	—	4	2	no	—
606	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
607	C₂×C₄₇	C₂²×#131	1	1	yes	characteristic
608	C₂×C₄₇	C₂×#568	1	1	yes	characteristic
609	D₄₇	—	4	2	no	—
610	C₂×#131	—	47	1	no	—
611	C₂×#131	—	47	1	no	—
612	C₂×#131	—	47	1	no	—
613	C₂×#131	C₂×D₄₇	1	1	yes	characteristic
614	C₂³×C₈	—	47	1	no	—
615	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic
616	#533	—	47	1	no	—
617	#533	—	47	1	no	—
618	#533	—	47	1	no	—
619	#532	—	47	1	no	—
620	#532	—	47	1	no	—
621	#532	—	47	1	no	—
622	#529	—	47	2	no	—
623	#529	—	47	2	no	—
624	#529	—	47	1	no	—
625	#529	—	47	1	no	—
626	#529	—	47	1	no	—
627	#529	—	47	1	no	—
628	#529	—	47	2	no	—
629	#529	—	47	2	no	—
630	#525	—	47	1	no	—
631	#525	—	47	2	no	—
632	#525	—	47	2	no	—
633	#525	C₂×D₄₇	1	1	yes	characteristic
634	C₄×#41	—	47	1	no	—
635	C₄×#41	—	47	2	no	—
636	C₄×#41	—	47	2	no	—
637	C₄×#41	—	47	1	no	—
638	C₂²×C₄²	—	47	1	no	—
639	#446	—	47	2	no	—
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	#436	—	47	2	no	—
648	#436	—	47	2	no	—
649	#435	—	47	2	no	—
650	#435	—	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	C₂×D₄₇	1	2	yes	—
660	#435	C₂×D₄₇	1	2	yes	—
661	C₈×D₄	—	47	2	no	—
662	C₈×D₄	—	47	2	no	—
663	C₈×D₄	—	47	2	no	—
664	C₈×D₄	—	47	2	no	—
665	C₈×D₄	—	47	2	no	—
666	C₈×D₄	—	47	2	no	—
667	C₈×D₄	—	47	2	no	—
668	C₈×D₄	—	47	2	no	—
669	C₈×D₄	C₂×D₄₇	1	2	yes	—
670	C₈×D₄	C₂×D₄₇	1	2	yes	—
671	#433	—	47	2	no	—
672	#433	—	47	2	no	—
673	#433	—	47	2	no	—
674	#433	—	47	2	no	—
675	#432	—	47	2	no	—
676	#432	—	47	2	no	—
677	#432	—	47	2	no	—
678	#432	—	47	2	no	—
679	#431	—	47	2	no	—
680	#431	—	47	2	no	—
681	#431	—	47	2	no	—
682	#431	—	47	2	no	—
683	#424	—	47	1	no	—
684	#424	—	47	2	no	—
685	#424	—	47	1	no	—
686	#424	—	47	2	no	—
687	#424	—	47	1	no	—
688	#424	—	47	2	no	—
689	#424	—	47	2	no	—
690	#424	C₂×D₄₇	1	1	yes	characteristic
691	#423	—	47	1	no	—
692	#423	—	47	2	no	—
693	#423	—	47	1	no	—
694	#423	—	47	2	no	—
695	C₂×C₄⋊C₈	—	47	1	no	—
696	C₂×C₄⋊C₈	—	47	1	no	—
697	C₂×C₄⋊C₈	—	47	1	no	—
698	C₂×C₄⋊C₈	—	47	1	no	—
699	C₂×C₄⋊C₈	—	47	1	no	—
700	C₂×C₄⋊C₈	—	47	1	no	—
701	C₂×C₄⋊C₈	—	47	1	no	—
702	C₂×C₄⋊C₈	—	47	1	no	—
703	C₂×C₄⋊C₈	—	47	1	no	—
704	C₂×C₄⋊C₈	—	47	1	no	—
705	C₂×C₄⋊C₈	—	47	1	no	—
706	C₂×C₄⋊C₈	—	47	1	no	—
707	C₂×C₄⋊C₈	—	47	2	no	—
708	C₂×C₄⋊C₈	—	47	2	no	—
709	#408	—	47	1	no	—
710	#408	—	47	1	no	—
711	#408	—	47	1	no	—
712	#408	C₂×D₄₇	1	1	yes	characteristic
713	#407	—	47	1	no	—
714	#407	C₂×D₄₇	1	1	yes	characteristic
715	#405	—	47	1	no	—
716	#405	—	47	1	no	—
717	#405	—	47	1	no	—
718	#405	C₂×D₄₇	1	1	yes	characteristic
719	C₄×M₁₆	—	47	1	no	—
720	C₄×M₁₆	—	47	1	no	—
721	C₄₇	#60265	1	1	yes	characteristic, complemented, Sylow
722	C₂×#41	—	47	2	no	—
723	C₂×#41	—	47	2	no	—
724	C₂×#41	—	47	1	no	—
725	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
726	C₂³×C₄	—	47	1	no	—
727	C₂³×C₄	—	47	1	no	—
728	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
729	#131	—	4	2	no	—
730	#131	—	188	2	no	—
731	#131	—	188	2	no	—
732	#131	—	188	2	no	—
733	C₂×M₁₆	—	47	1	no	—
734	C₂×M₁₆	—	47	1	no	—
735	C₂×M₁₆	—	47	2	no	—
736	C₂×M₁₆	—	47	2	no	—
737	C₂×M₁₆	—	47	2	no	—
738	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
739	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
740	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
741	C₂²×C₈	—	4	2	no	—
742	C₂²×C₈	—	47	1	no	—
743	C₂²×C₈	—	47	1	no	—
744	C₂²×C₈	—	47	1	no	—
745	C₂²×C₈	—	47	1	no	—
746	C₂²×C₈	—	47	1	no	—
747	C₂²×C₈	—	47	1	no	—
748	C₂²×C₈	—	47	2	no	—
749	C₂²×C₈	—	47	2	no	—
750	C₂²×C₈	—	47	2	no	—
751	C₂²×C₈	—	188	2	no	—
752	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
753	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
754	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
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	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
759	C₄⋊Q₈	—	47	1	no	—
760	C₄⋊Q₈	—	47	1	no	—
761	C₄⋊Q₈	—	47	1	no	—
762	#127	—	47	1	no	—
763	#126	—	47	2	no	—
764	#126	—	47	2	no	—
765	#126	—	47	2	no	—
766	#126	—	47	2	no	—
767	#125	—	47	2	no	—
768	#125	—	47	2	no	—
769	#125	—	47	1	no	—
770	#125	—	47	1	no	—
771	#124	—	47	1	no	—
772	#124	—	47	1	no	—
773	#124	—	47	2	no	—
774	#124	—	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	C₄×D₄₇	1	2	yes	—
781	C₂²⋊Q₈	—	47	1	no	—
782	C₂²⋊Q₈	—	47	1	no	—
783	C₂²⋊Q₈	—	47	2	no	—
784	C₂²⋊Q₈	—	47	2	no	—
785	C₂²⋊Q₈	—	47	2	no	—
786	C₂²⋊Q₈	—	47	2	no	—
787	C₂²⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
788	C₂²⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
789	#121	—	47	2	no	—
790	#121	—	47	2	no	—
791	#121	—	47	2	no	—
792	#121	—	47	2	no	—
793	#121	—	47	1	no	—
794	#121	—	47	1	no	—
795	#121	C₄×D₄₇	1	1	yes	characteristic
796	#121	C₄×D₄₇	1	1	yes	characteristic
797	#120	—	47	2	no	—
798	#120	C₄×D₄₇	1	2	yes	—
799	C₄×Q₈	—	47	1	no	—
800	C₄×Q₈	—	47	1	no	—
801	C₄×Q₈	—	47	2	no	—
802	C₄×Q₈	—	47	2	no	—
803	C₄×Q₈	—	47	1	no	—
804	C₄×Q₈	—	47	1	no	—
805	C₄×Q₈	—	47	2	no	—
806	C₄×Q₈	—	47	2	no	—
807	C₄×D₄	—	47	2	no	—
808	C₄×D₄	—	47	2	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	2	no	—
814	C₄×D₄	—	47	2	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	C₄×D₄	—	47	2	no	—
825	C₄×D₄	C₂²×D₄₇	1	2	yes	—
826	C₄×D₄	C₂²×D₄₇	1	2	yes	—
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	—	47	2	no	—
834	#117	—	47	2	no	—
835	#117	—	47	2	no	—
836	#117	C₂²×D₄₇	1	1	yes	characteristic
837	C₂×C₄²	—	47	1	no	—
838	C₂×C₄²	—	47	1	no	—
839	C₂×C₄²	—	47	1	no	—
840	C₂×C₄²	—	47	1	no	—
841	C₂×C₄²	—	47	1	no	—
842	C₂×C₄²	—	47	1	no	—
843	C₂×C₄²	—	47	2	no	—
844	C₂×C₄²	—	47	1	no	—
845	C₂×C₄²	—	47	1	no	—
846	C₂×C₄²	—	47	1	no	—
847	C₂×C₄²	—	47	1	no	—
848	C₂×C₄²	—	47	1	no	—
849	C₂×C₄²	—	47	1	no	—
850	C₂×C₄²	—	47	2	no	—
851	C₄⋊C₈	—	47	1	no	—
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	1	no	—
857	C₄⋊C₈	—	47	1	no	—
858	C₄⋊C₈	—	47	1	no	—
859	C₄⋊C₈	—	47	1	no	—
860	C₄⋊C₈	—	47	1	no	—
861	C₄⋊C₈	—	47	1	no	—
862	C₄⋊C₈	—	47	1	no	—
863	C₄⋊C₈	—	47	1	no	—
864	C₄⋊C₈	—	47	1	no	—
865	C₄⋊C₈	—	47	1	no	—
866	C₄⋊C₈	—	47	1	no	—
867	C₄⋊C₈	—	47	2	no	—
868	C₄⋊C₈	—	47	2	no	—
869	C₄⋊C₈	—	47	2	no	—
870	C₄⋊C₈	—	47	2	no	—
871	C₄⋊C₈	—	47	2	no	—
872	C₄⋊C₈	—	47	2	no	—
873	C₄⋊C₈	—	47	2	no	—
874	C₄⋊C₈	—	47	2	no	—
875	C₄⋊C₈	—	47	2	no	—
876	C₄⋊C₈	—	47	2	no	—
877	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
878	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
879	C₂²⋊C₈	—	47	2	no	—
880	C₂²⋊C₈	—	47	2	no	—
881	C₂²⋊C₈	—	47	2	no	—
882	C₂²⋊C₈	—	47	2	no	—
883	C₂²⋊C₈	—	47	2	no	—
884	C₂²⋊C₈	—	47	2	no	—
885	C₂²⋊C₈	—	47	2	no	—
886	C₂²⋊C₈	—	47	2	no	—
887	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
888	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
889	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
890	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
891	#97	—	47	2	no	—
892	#97	—	47	2	no	—
893	#97	—	47	2	no	—
894	#97	—	47	2	no	—
895	#97	—	47	2	no	—
896	#97	C₂²×D₄₇	1	2	yes	—
897	C₄×C₈	—	47	2	no	—
898	C₄×C₈	—	47	2	no	—
899	C₄×C₈	—	47	2	no	—
900	C₄×C₈	—	47	2	no	—
901	C₄×C₈	—	47	2	no	—
902	C₄×C₈	C₂²×D₄₇	1	2	yes	—
903	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
904	#41	—	2	2	no	—
905	#41	—	2	2	no	—
906	#41	—	94	8	no	—
907	#41	—	94	2	no	—
908	#41	—	94	2	no	—
909	#41	—	188	4	no	—
910	C₂×Q₈	—	47	2	no	—
911	C₂×Q₈	—	47	1	no	—
912	C₂×Q₈	—	47	2	no	—
913	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
914	C₂×D₄	—	47	2	no	—
915	C₂×D₄	—	47	2	no	—
916	C₂×D₄	—	47	2	no	—
917	C₂×D₄	—	47	2	no	—
918	C₂×D₄	—	47	2	no	—
919	C₂×D₄	—	47	1	no	—
920	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
921	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
922	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
923	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	47	1	no	—
927	C₂²×C₄	—	47	1	no	—
928	C₂²×C₄	—	47	1	no	—
929	C₂²×C₄	—	47	1	no	—
930	C₂²×C₄	—	47	1	no	—
931	C₂²×C₄	—	47	1	no	—
932	C₂²×C₄	—	47	1	no	—
933	C₂²×C₄	—	47	1	no	—
934	C₂²×C₄	—	47	2	no	—
935	C₂²×C₄	—	47	1	no	—
936	C₂²×C₄	—	47	1	no	—
937	C₂²×C₄	—	47	1	no	—
938	C₂²×C₄	—	47	1	no	—
939	C₂²×C₄	—	47	2	no	—
940	C₂²×C₄	—	47	2	no	—
941	C₂²×C₄	—	47	2	no	—
942	C₂²×C₄	—	47	2	no	—
943	C₂²×C₄	—	94	4	no	—
944	C₂²×C₄	—	188	2	no	—
945	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
946	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
947	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
948	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
949	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
950	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
951	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
952	M₁₆	—	2	2	no	—
953	M₁₆	—	2	2	no	—
954	M₁₆	—	4	2	no	—
955	M₁₆	—	94	2	no	—
956	M₁₆	—	94	2	no	—
957	M₁₆	—	188	2	no	—
958	M₁₆	—	188	2	no	—
959	M₁₆	—	188	2	no	—
960	C₂×C₈	—	2	2	no	—
961	C₂×C₈	—	2	2	no	—
962	C₂×C₈	—	4	1	no	—
963	C₂×C₈	—	4	1	no	—
964	C₂×C₈	—	4	1	no	—
965	C₂×C₈	—	4	1	no	—
966	C₂×C₈	—	4	2	no	—
967	C₂×C₈	—	47	2	no	—
968	C₂×C₈	—	47	1	no	—
969	C₂×C₈	—	47	1	no	—
970	C₂×C₈	—	47	2	no	—
971	C₂×C₈	—	47	1	no	—
972	C₂×C₈	—	47	1	no	—
973	C₂×C₈	—	94	2	no	—
974	C₂×C₈	—	94	2	no	—
975	C₂×C₈	—	188	2	no	—
976	C₂×C₈	—	188	2	no	—
977	C₂×C₈	—	188	1	no	—
978	C₂×C₈	—	188	1	no	—
979	C₂×C₈	—	188	1	no	—
980	C₂×C₈	—	188	1	no	—
981	C₂×C₈	—	188	2	no	—
982	C₂×C₈	C₂³×D₄₇	1	2	yes	—
983	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
984	C₂×C₈	C₂³×D₄₇	1	2	yes	—
985	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
986	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
987	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
988	C₄⋊C₄	—	47	2	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	2	no	—
998	C₄⋊C₄	—	47	1	no	—
999	C₄⋊C₄	—	47	1	no	—
1000	C₄⋊C₄	—	47	2	no	—
1001	C₄⋊C₄	—	47	2	no	—
1002	C₄⋊C₄	—	47	2	no	—
1003	C₄⋊C₄	—	47	2	no	—
1004	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1005	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1006	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1007	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1008	C₂²⋊C₄	—	47	2	no	—
1009	C₂²⋊C₄	—	47	2	no	—
1010	C₂²⋊C₄	—	47	2	no	—
1011	C₂²⋊C₄	—	47	2	no	—
1012	C₂²⋊C₄	—	47	2	no	—
1013	C₂²⋊C₄	—	47	2	no	—
1014	C₂²⋊C₄	—	47	2	no	—
1015	C₂²⋊C₄	—	47	2	no	—
1016	C₂²⋊C₄	—	47	2	no	—
1017	C₂²⋊C₄	—	47	2	no	—
1018	C₂²⋊C₄	—	47	2	no	—
1019	C₂²⋊C₄	—	47	2	no	—
1020	C₂²⋊C₄	—	47	2	no	—
1021	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1022	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1023	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1024	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1025	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1026	C₄²	—	47	1	no	—
1027	C₄²	—	47	1	no	—
1028	C₄²	—	47	1	no	—
1029	C₄²	—	47	1	no	—
1030	C₄²	—	47	1	no	—
1031	C₄²	—	47	1	no	—
1032	C₄²	—	47	1	no	—
1033	C₄²	—	47	1	no	—
1034	C₄²	—	47	1	no	—
1035	C₄²	—	47	1	no	—
1036	C₄²	—	47	1	no	—
1037	C₄²	—	47	1	no	—
1038	C₄²	—	47	2	no	—
1039	C₄²	—	47	2	no	—
1040	C₄²	—	47	2	no	—
1041	C₄²	—	47	2	no	—
1042	C₄²	—	47	1	no	—
1043	C₄²	—	47	2	no	—
1044	C₄²	—	47	1	no	—
1045	C₄²	—	47	1	no	—
1046	C₄²	—	47	1	no	—
1047	C₄²	C₂³×D₄₇	1	2	yes	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	47	2	no	—
1052	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1053	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1054	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1055	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1056	Q₈	—	2	2	no	—
1057	Q₈	—	94	4	no	—
1058	Q₈	—	94	2	no	—
1059	Q₈	—	188	2	no	—
1060	D₄	—	2	4	no	—
1061	D₄	—	2	4	no	—
1062	D₄	—	2	4	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	94	4	no	—
1065	D₄	—	94	4	no	—
1066	D₄	—	94	4	no	—
1067	D₄	—	94	4	no	—
1068	D₄	—	94	2	no	—
1069	D₄	—	188	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	47	4	no	—
1080	C₂×C₄	—	47	1	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	1	no	—
1086	C₂×C₄	—	47	1	no	—
1087	C₂×C₄	—	47	1	no	—
1088	C₂×C₄	—	47	2	no	—
1089	C₂×C₄	—	47	2	no	—
1090	C₂×C₄	—	47	2	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	4	no	—
1097	C₂×C₄	—	94	2	no	—
1098	C₂×C₄	—	94	2	no	—
1099	C₂×C₄	—	94	2	no	—
1100	C₂×C₄	—	94	2	no	—
1101	C₂×C₄	—	94	2	no	—
1102	C₂×C₄	—	188	2	no	—
1103	C₂×C₄	—	188	1	no	—
1104	C₂×C₄	—	188	1	no	—
1105	C₂×C₄	—	188	1	no	—
1106	C₂×C₄	—	188	1	no	—
1107	C₂×C₄	—	188	2	no	—
1108	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1109	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1110	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1111	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1112	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1113	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1114	C₂×C₄	#13094069	1	2	yes	—
1115	C₂×C₄	#13094071	1	2	yes	—
1116	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₈	—	2	1	no	—
1120	C₈	—	2	1	no	—
1121	C₈	—	2	2	no	—
1122	C₈	—	2	2	no	—
1123	C₈	—	94	1	no	—
1124	C₈	—	94	1	no	—
1125	C₈	—	94	1	no	—
1126	C₈	—	94	1	no	—
1127	C₈	—	94	2	no	—
1128	C₈	—	94	2	no	—
1129	C₂²	—	2	8	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	94	2	no	—
1140	C₂²	—	94	2	no	—
1141	C₂²	—	94	2	no	—
1142	C₂²	#15689602	1	2	yes	—
1143	C₂²	#131×D₄₇	1	2	yes	—
1144	C₂²	#15689888	1	2	yes	—
1145	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1146	C₄	—	2	2	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	1	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	47	2	no	—
1152	C₄	—	47	2	no	—
1153	C₄	—	94	1	no	—
1154	C₄	—	94	1	no	—
1155	C₄	—	94	2	no	—
1156	C₄	—	94	1	no	—
1157	C₄	—	94	1	no	—
1158	C₄	—	94	1	no	—
1159	C₄	—	94	1	no	—
1160	C₄	—	94	2	no	—
1161	C₄	—	94	2	no	—
1162	C₄	#15689602	1	2	yes	—
1163	C₄	C₂×#13094069	1	1	yes	characteristic
1164	C₄	C₂×#13094071	1	1	yes	characteristic
1165	C₂	—	2	2	no	—
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	2	no	—
1169	C₂	—	188	2	no	—
1170	C₂	C₂×#15689602	1	1	yes	characteristic
1171	C₂	C₂×#131×D₄₇	1	1	yes	characteristic
1172	C₂	C₂×#15689888	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2929	C₂
prime radical	#20256680	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2929	D₄₇
hypocenter	C₄₇	#60265
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2929

Complements

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

N	H ≅ G/N	type
2. #20252545	C₂	semidirect
3. #20252541	C₂	semidirect
4. #20252528	C₂	semidirect
5. #20252521	C₂	semidirect
6. #20252511	C₂	semidirect
7. #20252508	C₂	semidirect
8. #20252500	C₂	semidirect
9. #20252495	C₂	semidirect
10. #20252334	C₂	semidirect
11. #20252332	C₂	semidirect
12. #20252130	C₂	semidirect
13. #20252128	C₂	semidirect
14. #20252083	C₂	semidirect
15. #20252082	C₂	semidirect
16. #20252078	C₂	semidirect
17. #20252052	C₂	semidirect
18. #20252050	C₂	semidirect
19. #20252017	C₂	semidirect
20. #20251955	C₂	semidirect
21. #20251954	C₂	semidirect
22. C₂²×Dic₄₇⋊C₈	C₂	semidirect
23. C₄₇×#2929	C₂	semidirect
50. #15689253	C₂²	semidirect
51. #15689252	C₂²	semidirect
52. #15689252	C₂²	semidirect
53. #15689251	C₂²	semidirect
54. #15689251	C₂²	semidirect
55. #15689250	C₂²	semidirect
56. C₈×Dic₉₄	C₂²	semidirect
57. #15689247	C₂²	semidirect
58. #15689199	C₂²	semidirect
59. #15689198	C₂²	semidirect
60. #15689197	C₂²	semidirect
65. #15689194	C₂²	semidirect
66. #15689192	C₂²	semidirect
69. #15689191	C₂²	semidirect
74. C₈×C₂²⋊D₄₇	C₂²	semidirect
77. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
78. #15689185	C₂²	semidirect
79. #15689182	C₂²	semidirect
80. #15689181	C₂²	semidirect
81. #15689181	C₂²	semidirect
82. #15689178	C₂²	semidirect
85. #15689177	C₂²	semidirect
86. #15689174	C₂²	semidirect
89. #15689173	C₂²	semidirect
91. #15689151	C₂²	semidirect
94. #15689149	C₂²	semidirect
95. #15689148	C₂²	semidirect
96. #15689148	C₂²	semidirect
99. #15689146	C₂²	semidirect
100. #15689145	C₂²	semidirect
113. C₂×Dic₄₇⋊C₈	C₂²	semidirect
114. C₄⋊C₈×D₄₇	C₂²	semidirect
510. C₂×Dic₄₇	#131	semidirect
595. #2929	D₄₇	semidirect
721. C₄₇	#60265	semidirect

Maximal subgroups

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

subgroup	index
#20256680	2
#20252545	2
#20252541	2
#20252528	2
#20252521	2
#20252511	2
#20252508	2
#20252500	2
#20252495	2
#20252334	2
#20252332	2
#20252130	2
#20252128	2
#20252083	2
#20252082	2
#20252078	2
#20252052	2
#20252050	2
#20252017	2
#20251955	2
#20251954	2
C₂²×Dic₄₇⋊C₈	2
C₄₇×#2929	2
#60265	47