Subgroups — #27081405

Order 12032.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#529×D₄₇	C₂	1	1	yes	maximal, characteristic
2	#20252556	C₂	1	2	yes	maximal, complemented
3	#20252553	C₂	1	2	yes	maximal, complemented
4	#20252550	C₂	1	1	yes	maximal, characteristic, complemented
5	#20252548	C₂	1	1	yes	maximal, characteristic, complemented
6	#20252544	C₂	1	1	yes	maximal, characteristic, complemented
7	#20252540	C₂	1	1	yes	maximal, characteristic, complemented
8	#20252538	C₂	1	1	yes	maximal, characteristic, complemented
9	#20252536	C₂	1	1	yes	maximal, characteristic, complemented
10	#20252532	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252528	C₂	1	2	yes	maximal, complemented
12	#20252521	C₂	1	2	yes	maximal, complemented
13	#20252340	C₂	1	1	yes	maximal, characteristic, complemented
14	Q₈×#10625324	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252124	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252121	C₂	1	2	yes	maximal, complemented
17	D₄×#10625324	C₂	1	2	yes	maximal, complemented
18	D₄×#10625324	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252022	C₂	1	2	yes	maximal, complemented
20	#20252016	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251949	C₂	1	2	yes	maximal, complemented
22	C₂×#15689145	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10625324	C₂²	1	2	yes	—
25	C₂²×#10625324	C₂²	1	2	yes	—
26	C₂×M₁₆×D₄₇	C₂²	1	2	yes	—
27	#15689660	C₂²	1	1	yes	characteristic
28	#15689659	C₄	1	1	yes	characteristic
29	#15689658	C₄	1	1	yes	characteristic
30	#15689657	C₂²	1	1	yes	characteristic
31	#15689656	C₄	1	2	yes	—
32	#15689655	C₂²	1	1	yes	characteristic
33	#15689654	C₄	1	1	yes	characteristic
34	#15689653	C₂²	1	2	yes	—
35	#15689652	C₄	1	1	yes	characteristic
36	#15689651	C₂²	1	2	yes	—
37	#15689650	C₄	1	2	yes	—
38	#126×D₄₇	C₄	1	2	yes	—
39	#125×D₄₇	C₄	1	1	yes	characteristic
40	#124×D₄₇	C₄	1	1	yes	characteristic
41	#123×D₄₇	C₄	1	2	yes	—
42	C₂²⋊Q₈×D₄₇	C₄	1	1	yes	characteristic
43	#121×D₄₇	C₄	1	1	yes	characteristic
44	C₄×Q₈×D₄₇	C₂²	1	1	yes	characteristic
45	C₄×D₄×D₄₇	C₂²	1	2	yes	—
46	C₄×D₄×D₄₇	C₂²	1	1	yes	characteristic
47	#117×D₄₇	C₂²	1	2	yes	—
48	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
49	#15689254	C₂²	1	1	yes	characteristic, complemented
50	#15689253	C₂²	1	2	yes	complemented
51	#15689253	C₂²	1	1	yes	characteristic, complemented
52	#15689252	C₂²	1	2	yes	complemented
53	#15689251	C₂²	1	2	yes	complemented
54	#15689250	C₂²	1	2	yes	complemented
55	#15689250	C₂²	1	1	yes	characteristic, complemented
56	Q₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
57	C₈×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
58	#15689247	C₂²	1	1	yes	characteristic, complemented
59	#15689202	C₂²	1	2	yes	complemented
60	#15689202	C₂²	1	1	yes	characteristic, complemented
61	#15689201	C₂²	1	1	yes	characteristic, complemented
62	#15689200	C₂²	1	1	yes	characteristic, complemented
63	#15689200	C₂²	1	2	yes	complemented
64	#15689199	C₂²	1	2	yes	complemented
65	#15689198	C₂²	1	2	yes	complemented
66	#15689197	C₂²	1	2	yes	complemented
67	#15689196	C₂²	1	2	yes	complemented
68	#15689195	C₂²	1	2	yes	complemented
69	#15689194	C₂²	1	2	yes	complemented
70	#15689194	C₂²	1	2	yes	complemented
71	#15689194	C₂²	1	2	yes	complemented
72	#15689193	C₂²	1	2	yes	complemented
73	#15689192	C₂²	1	2	yes	complemented
74	#15689191	C₂²	1	2	yes	complemented
75	#15689191	C₂²	1	2	yes	complemented
76	#15689191	C₂²	1	2	yes	complemented
77	C₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
78	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
79	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
80	#15689188	C₂²	1	1	yes	characteristic, complemented
81	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
82	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
83	#15689185	C₂²	1	2	yes	complemented
84	#15689184	C₂²	1	2	yes	complemented
85	#15689183	C₂²	1	2	yes	complemented
86	#15689183	C₂²	1	2	yes	complemented
87	#15689182	C₂²	1	2	yes	complemented
88	#15689181	C₂²	1	2	yes	complemented
89	#15689181	C₂²	1	2	yes	complemented
90	#15689179	C₂²	1	1	yes	characteristic, complemented
91	#15689179	C₂²	1	1	yes	characteristic, complemented
92	#15689177	C₂²	1	1	yes	characteristic, complemented
93	#15689177	C₂²	1	1	yes	characteristic, complemented
94	#15689176	C₂²	1	1	yes	characteristic, complemented
95	#15689174	C₂²	1	1	yes	characteristic, complemented
96	#15689174	C₂²	1	1	yes	characteristic, complemented
97	#15689151	C₂²	1	2	yes	complemented
98	#15689150	C₂²	1	2	yes	complemented
99	#15689149	C₂²	1	2	yes	complemented
100	#15689148	C₂²	1	2	yes	complemented
101	#15689148	C₂²	1	2	yes	complemented
102	#15689148	C₂²	1	2	yes	complemented
103	#15689148	C₂²	1	2	yes	complemented
104	#15689145	C₂²	1	2	yes	—
105	#15689145	C₂²	1	1	yes	characteristic
106	#15689145	C₂²	1	1	yes	characteristic
107	#15689145	C₂²	1	1	yes	characteristic
108	#15689145	C₂²	1	2	yes	—
109	#15689145	C₂²	1	2	yes	—
110	#15689145	C₂²	1	1	yes	characteristic
111	#15689145	C₂²	1	1	yes	characteristic, complemented
112	#15689145	C₂²	1	1	yes	characteristic, complemented
113	#15689145	C₂²	1	2	yes	complemented
114	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
115	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	complemented
116	#15689085	C₂²	1	1	yes	characteristic
117	#15689085	C₂²	1	1	yes	characteristic
118	#15689085	C₂²	1	2	yes	—
119	#15689085	C₂²	1	2	yes	—
120	#15689075	C₂²	1	2	yes	—
121	C₄×#10625324	C₂²	1	1	yes	characteristic
122	C₄×#10625324	C₂²	1	1	yes	characteristic
123	C₄×#10625324	C₂²	1	2	yes	—
124	C₄₇×#529	C₂²	1	1	yes	characteristic
125	C₄₇×#446	C₂²	1	1	yes	characteristic, complemented
126	C₈×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#436	C₂²	1	1	yes	characteristic, complemented
128	C₄₇×#435	C₂²	1	2	yes	complemented
129	C₈×D₄×C₄₇	C₂²	1	2	yes	complemented
130	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#433	C₂²	1	2	yes	complemented
132	C₄₇×#431	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#424	C₂²	1	2	yes	complemented
134	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×Q₈×D₄₇	C₂×C₄	1	1	yes	characteristic
136	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
137	C₂×D₄×D₄₇	C₂×C₄	1	1	yes	characteristic
138	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
139	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
140	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
141	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
142	C₂×#10625329	C₂³	1	2	yes	—
143	C₂×#10625324	—	4	4	no	—
144	C₂×#10625324	—	4	4	no	—
145	C₂×#10625324	C₂³	1	1	yes	characteristic
146	C₂×#10625324	C₂³	1	1	yes	characteristic
147	C₂×#10625324	C₂³	1	1	yes	characteristic
148	C₂×#10625324	C₂³	1	1	yes	characteristic
149	C₂×#10625324	C₂³	1	2	yes	—
150	C₂×#10625324	C₂³	1	2	yes	—
151	C₂×#10625324	C₂³	1	2	yes	—
152	C₂×#10625324	C₂³	1	2	yes	—
153	C₂×#10625324	C₂³	1	2	yes	—
154	C₂×#10625324	C₂³	1	2	yes	—
155	M₁₆×D₄₇	—	4	4	no	—
156	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
157	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
158	C₂×C₈×D₄₇	C₂³	1	2	yes	—
159	C₂×C₈×D₄₇	C₂³	1	2	yes	—
160	#13094019	C₂×C₄	1	2	yes	—
161	#13094019	C₂×C₄	1	2	yes	—
162	#13094019	C₂×C₄	1	2	yes	—
163	#13094018	C₂×C₄	1	2	yes	—
164	#13094017	C₂×C₄	1	2	yes	—
165	#13094017	C₂×C₄	1	2	yes	—
166	#13094017	C₂×C₄	1	2	yes	—
167	#13094016	C₂×C₄	1	1	yes	characteristic
168	#13094015	C₂×C₄	1	1	yes	characteristic
169	#13094015	C₂×C₄	1	1	yes	characteristic
170	#13094014	C₂×C₄	1	2	yes	—
171	#13094014	C₂×C₄	1	2	yes	—
172	#13094013	C₂×C₄	1	1	yes	characteristic
173	#13094012	C₂×C₄	1	1	yes	characteristic
174	#13094011	C₂×C₄	1	1	yes	characteristic
175	#13094010	C₂×C₄	1	2	yes	—
176	#13094010	C₂×C₄	1	2	yes	—
177	#13094009	C₂×C₄	1	2	yes	—
178	#13094009	C₂×C₄	1	2	yes	—
179	#13094008	C₂×C₄	1	2	yes	—
180	#13094007	C₂×C₄	1	2	yes	—
181	#13094006	C₂×C₄	1	2	yes	—
182	#13094006	C₂×C₄	1	2	yes	—
183	#13094005	C₂×C₄	1	2	yes	—
184	#13094004	C₂×C₄	1	1	yes	characteristic
185	#13094003	C₂×C₄	1	1	yes	characteristic
186	#13094002	C₂×C₄	1	2	yes	—
187	#13094001	C₂×C₄	1	2	yes	—
188	#13094000	C₂×C₄	1	1	yes	characteristic
189	#13093999	C₂×C₄	1	1	yes	characteristic
190	#13093998	C₂×C₄	1	1	yes	characteristic
191	#13093997	C₂×C₄	1	2	yes	—
192	#13093996	C₂×C₄	1	2	yes	—
193	#13093995	C₂×C₄	1	1	yes	characteristic
194	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
195	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
196	C₄×Dic₉₄	C₂³	1	2	yes	—
197	#13093989	C₂×C₄	1	2	yes	—
198	#13093989	C₂×C₄	1	1	yes	characteristic
199	C₄×D₁₈₈	C₂³	1	2	yes	—
200	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
201	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
202	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
203	#13093986	C₂×C₄	1	2	yes	—
204	#13093986	C₂×C₄	1	1	yes	characteristic
205	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
206	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
207	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
208	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
209	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
210	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
211	#13093983	C₂³	1	2	yes	—
212	#13093982	C₂×C₄	1	2	yes	—
213	#13093982	C₂×C₄	1	2	yes	—
214	#13093981	C₂³	1	2	yes	—
215	#13093981	C₂³	1	2	yes	—
216	#13093980	C₂×C₄	1	2	yes	—
217	#13093980	C₂×C₄	1	2	yes	—
218	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
219	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
220	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
221	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
222	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
223	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
224	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
225	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
226	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
227	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
228	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
229	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
232	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
233	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
234	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
235	C₄²×D₄₇	C₂×C₄	1	1	yes	characteristic
236	C₄²×D₄₇	C₂³	1	1	yes	characteristic
237	C₄²×D₄₇	C₂³	1	1	yes	characteristic
238	C₄²×D₄₇	C₂³	1	1	yes	characteristic
239	C₄²×D₄₇	C₂³	1	1	yes	characteristic
240	C₄²×D₄₇	C₂³	1	2	yes	—
241	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
242	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
243	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
244	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
245	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
246	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
247	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
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	2	yes	—
252	Dic₄₇⋊C₈	C₂³	1	2	yes	—
253	Dic₄₇⋊C₈	C₂³	1	2	yes	—
254	Dic₄₇⋊C₈	C₂³	1	2	yes	—
255	Dic₄₇⋊C₈	C₂³	1	2	yes	—
256	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
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	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
261	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
262	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
263	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
264	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
265	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
266	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
267	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
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	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	#13093935	C₂³	1	2	yes	—
273	#13093934	C₂³	1	1	yes	characteristic
274	#13093934	C₂³	1	2	yes	—
275	#13093934	C₂³	1	1	yes	characteristic
276	#13093934	C₂³	1	1	yes	characteristic
277	#13093934	C₂³	1	1	yes	characteristic
278	#13093934	C₂³	1	2	yes	—
279	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
280	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
281	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
282	C₈×Dic₄₇	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	2	yes	—
284	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
285	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
286	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
287	#126×C₄₇	C₂×C₄	1	2	yes	—
288	#125×C₄₇	C₂×C₄	1	1	yes	characteristic
289	#124×C₄₇	C₂×C₄	1	1	yes	characteristic
290	#123×C₄₇	C₂×C₄	1	2	yes	—
291	C₂²⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
292	#121×C₄₇	C₂×C₄	1	1	yes	characteristic
293	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₇	C₂³	1	2	yes	—
295	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
296	#117×C₄₇	C₂³	1	2	yes	—
297	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
298	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
299	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
300	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
301	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
302	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
303	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
309	#97×C₄₇	C₂³	1	2	yes	—
310	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₄₇	C₂³	1	2	yes	—
313	C₂³×D₄₇	C₂²×C₄	1	1	yes	characteristic
314	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
315	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
316	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
317	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
318	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
319	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
320	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
322	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
323	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
324	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
325	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
326	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
327	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
328	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
329	Q₈×D₄₇	—	4	2	no	—
330	D₄×D₄₇	—	4	2	no	—
331	D₄×D₄₇	—	4	4	no	—
332	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
333	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
334	C₂×C₄×D₄₇	—	2	4	no	—
335	C₂×C₄×D₄₇	—	2	2	no	—
336	C₂×C₄×D₄₇	—	2	2	no	—
337	C₂×C₄×D₄₇	—	2	4	no	—
338	C₂×C₄×D₄₇	—	4	2	no	—
339	C₂×C₄×D₄₇	—	4	2	no	—
340	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
341	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
342	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
344	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
345	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
346	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
347	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
348	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
352	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
353	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
354	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
355	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
356	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
357	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
358	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
359	M₁₆×C₄₇	—	4	2	no	—
360	C₂×C₈×C₄₇	—	4	2	no	—
361	C₂×C₈×C₄₇	—	4	2	no	—
362	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
363	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
365	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
369	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
370	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
371	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
372	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
373	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
374	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
375	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
376	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
377	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
378	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
379	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
380	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
381	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₄²×C₄₇	C₂⁴	1	2	yes	—
384	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
385	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
386	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
387	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
388	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
389	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
390	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
391	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
392	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
393	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
394	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
395	(C₂×D₄₇)⋊C₄	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	2	yes	—
399	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
400	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
401	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
402	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
403	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
404	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
405	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
406	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
407	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
408	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
409	Dic₄₇⋊C₄	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	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
416	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
417	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
418	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
419	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
420	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
421	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
426	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
427	C₄×Dic₄₇	C₂⁴	1	2	yes	—
428	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
429	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
430	#10625329	—	4	2	no	—
431	C₂×C₄₇⋊C₈	—	4	2	no	—
432	C₂×C₄₇⋊C₈	—	4	2	no	—
433	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
434	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
435	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
436	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
437	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
438	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
439	#10625324	—	2	2	no	—
440	#10625324	—	2	4	no	—
441	#10625324	—	2	4	no	—
442	#10625324	—	2	2	no	—
443	#10625324	—	2	2	no	—
444	#10625324	—	2	2	no	—
445	#10625324	—	4	2	no	—
446	#10625324	—	4	2	no	—
447	#10625324	—	4	2	no	—
448	#10625324	—	4	2	no	—
449	C₈×D₄₇	—	4	2	no	—
450	C₈×D₄₇	—	4	2	no	—
451	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
452	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
453	C₂²×D₄₇	—	2	2	no	—
454	C₂²×D₄₇	—	2	2	no	—
455	C₂²×D₄₇	—	2	4	no	—
456	C₂²×D₄₇	—	4	1	no	—
457	C₂²×D₄₇	—	4	2	no	—
458	C₂²×D₄₇	—	4	2	no	—
459	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
460	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
461	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
462	Q₈×C₄₇	—	2	2	no	—
463	D₄×C₄₇	—	2	4	no	—
464	D₄×C₄₇	—	2	2	no	—
465	C₂×C₄×C₄₇	—	2	2	no	—
466	C₂×C₄×C₄₇	—	2	2	no	—
467	C₂×C₄×C₄₇	—	2	1	no	—
468	C₂×C₄×C₄₇	—	2	2	no	—
469	C₂×C₄×C₄₇	—	2	1	no	—
470	C₂×C₄×C₄₇	—	2	2	no	—
471	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
472	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
473	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
474	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
475	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
476	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
477	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
478	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
479	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
480	C₂²⋊D₄₇	—	2	4	no	—
481	C₂²⋊D₄₇	—	4	2	no	—
482	C₂²⋊D₄₇	—	4	2	no	—
483	C₂×Dic₄₇	—	2	2	no	—
484	C₂×Dic₄₇	—	2	2	no	—
485	C₂×Dic₄₇	—	2	4	no	—
486	C₂×Dic₄₇	—	4	1	no	—
487	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
488	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
489	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
490	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
491	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
492	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
493	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
494	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
495	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
496	D₁₈₈	—	2	2	no	—
497	D₁₈₈	—	4	2	no	—
498	C₄×D₄₇	—	2	4	no	—
499	C₄×D₄₇	—	2	2	no	—
500	C₄×D₄₇	—	2	2	no	—
501	C₄×D₄₇	—	2	2	no	—
502	C₄×D₄₇	—	2	2	no	—
503	C₄×D₄₇	—	2	1	no	—
504	C₄×D₄₇	—	2	1	no	—
505	C₄×D₄₇	—	2	2	no	—
506	C₄×D₄₇	—	2	4	no	—
507	C₄×D₄₇	—	2	2	no	—
508	C₄×D₄₇	—	4	1	no	—
509	C₄×D₄₇	—	4	1	no	—
510	C₄×D₄₇	—	4	1	no	—
511	C₄×D₄₇	—	4	1	no	—
512	C₄×D₄₇	—	4	1	no	—
513	C₄×D₄₇	—	4	1	no	—
514	C₄×D₄₇	—	4	2	no	—
515	C₄×D₄₇	—	4	2	no	—
516	C₄×D₄₇	H(5,𝔽₂)	1	2	yes	—
517	C₄×D₄₇	2₋¹⁺⁴	1	2	yes	—
518	Dic₉₄	—	2	2	no	—
519	Dic₉₄	—	4	2	no	—
520	C₈×C₄₇	—	2	1	no	—
521	C₈×C₄₇	—	2	2	no	—
522	C₈×C₄₇	—	2	2	no	—
523	C₈×C₄₇	—	2	1	no	—
524	C₈×C₄₇	—	2	1	no	—
525	C₈×C₄₇	—	2	1	no	—
526	C₄₇⋊C₈	—	2	1	no	—
527	C₄₇⋊C₈	—	2	2	no	—
528	C₄₇⋊C₈	—	2	2	no	—
529	C₄₇⋊C₈	—	2	1	no	—
530	C₄₇⋊C₈	—	2	1	no	—
531	C₄₇⋊C₈	—	2	1	no	—
532	#60264	—	47	1	no	maximal, Sylow
533	C₂²×C₄₇	—	2	1	no	—
534	C₂²×C₄₇	—	2	1	no	—
535	C₂²×C₄₇	—	2	2	no	—
536	C₂²×C₄₇	—	2	2	no	—
537	C₂²×C₄₇	—	2	2	no	—
538	C₂²×C₄₇	#568	1	2	yes	—
539	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
540	C₂×D₄₇	—	2	1	no	—
541	C₂×D₄₇	—	2	1	no	—
542	C₂×D₄₇	—	2	1	no	—
543	C₂×D₄₇	—	2	2	no	—
544	C₂×D₄₇	—	2	1	no	—
545	C₂×D₄₇	—	2	1	no	—
546	C₂×D₄₇	—	2	2	no	—
547	C₂×D₄₇	—	2	2	no	—
548	C₂×D₄₇	—	4	4	no	—
549	C₂×D₄₇	—	8	4	no	—
550	C₂×D₄₇	#520	1	2	yes	—
551	C₄×C₄₇	—	2	1	no	—
552	C₄×C₄₇	—	2	2	no	—
553	C₄×C₄₇	—	2	2	no	—
554	C₄×C₄₇	—	2	1	no	—
555	C₄×C₄₇	—	2	1	no	—
556	C₄×C₄₇	—	2	1	no	—
557	C₄×C₄₇	—	2	2	no	—
558	C₄×C₄₇	#568	1	2	yes	—
559	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
560	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
561	Dic₄₇	—	2	2	no	—
562	Dic₄₇	—	2	1	no	—
563	Dic₄₇	—	2	2	no	—
564	Dic₄₇	—	2	1	no	—
565	Dic₄₇	—	2	1	no	—
566	Dic₄₇	—	2	1	no	—
567	Dic₄₇	—	2	1	no	—
568	Dic₄₇	—	2	2	no	—
569	Dic₄₇	#520	1	2	yes	—
570	C₂×#529	—	47	1	no	—
571	#2995	—	47	2	no	—
572	#2995	—	47	2	no	—
573	#2994	—	47	1	no	—
574	#2994	—	47	1	no	—
575	#2994	—	47	1	no	—
576	#2994	D₄₇	1	1	yes	characteristic, complemented
577	#2993	—	47	1	no	—
578	#2993	—	47	1	no	—
579	#2993	—	47	1	no	—
580	#2993	—	47	1	no	—
581	#2992	—	47	2	no	—
582	#2992	—	47	2	no	—
583	Q₈×M₁₆	—	47	1	no	—
584	Q₈×M₁₆	—	47	1	no	—
585	D₄×M₁₆	—	47	1	no	—
586	D₄×M₁₆	—	47	2	no	—
587	D₄×M₁₆	—	47	2	no	—
588	D₄×M₁₆	—	47	1	no	—
589	#2921	—	47	2	no	—
590	#2920	—	47	1	no	—
591	#2905	—	47	2	no	—
592	C₂×#423	—	47	1	no	—
593	C₂×C₄₇	—	2	2	no	—
594	C₂×C₄₇	—	4	2	no	—
595	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
596	C₂×C₄₇	C₂×#568	1	1	yes	characteristic
597	C₂×C₄₇	C₂×#568	1	1	yes	characteristic
598	D₄₇	—	2	2	no	—
599	D₄₇	—	4	1	no	—
600	D₄₇	—	4	2	no	—
601	C₂²×M₁₆	—	47	2	no	—
602	C₂²×M₁₆	—	47	2	no	—
603	C₂²×M₁₆	—	47	2	no	—
604	#529	—	47	2	no	—
605	#529	—	47	1	no	—
606	#529	—	47	1	no	—
607	#529	—	47	2	no	—
608	#529	—	47	1	no	—
609	#529	—	47	1	no	—
610	#529	—	47	1	no	—
611	#529	—	47	2	no	—
612	#529	—	47	1	no	—
613	#529	—	47	2	no	—
614	#529	—	47	1	no	—
615	#529	C₂×D₄₇	1	1	yes	characteristic
616	C₂×#126	—	47	2	no	—
617	C₂×#125	—	47	1	no	—
618	C₂×#124	—	47	1	no	—
619	C₂×#123	—	47	2	no	—
620	C₂×C₂²⋊Q₈	—	47	1	no	—
621	C₂×#121	—	47	1	no	—
622	C₂×C₄×Q₈	—	47	1	no	—
623	C₂×C₄×D₄	—	47	2	no	—
624	C₂×C₄×D₄	—	47	1	no	—
625	C₂×#117	—	47	2	no	—
626	C₂²×C₄²	—	47	1	no	—
627	#446	—	47	1	no	—
628	#446	—	47	2	no	—
629	#446	—	47	1	no	—
630	#446	—	47	2	no	—
631	#446	—	47	2	no	—
632	#446	—	47	2	no	—
633	#446	—	47	1	no	—
634	#446	C₂×D₄₇	1	1	yes	characteristic, complemented
635	C₈×Q₈	—	47	1	no	—
636	C₈×Q₈	—	47	1	no	—
637	C₈×Q₈	—	47	1	no	—
638	C₈×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
639	#436	—	47	2	no	—
640	#436	—	47	1	no	—
641	#436	—	47	1	no	—
642	#436	—	47	2	no	—
643	#436	—	47	2	no	—
644	#436	—	47	1	no	—
645	#436	—	47	2	no	—
646	#436	C₂×D₄₇	1	1	yes	characteristic, complemented
647	#435	—	47	2	no	—
648	#435	—	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	C₂×D₄₇	1	2	yes	complemented
659	C₈×D₄	—	47	2	no	—
660	C₈×D₄	—	47	2	no	—
661	C₈×D₄	—	47	1	no	—
662	C₈×D₄	—	47	1	no	—
663	C₈×D₄	—	47	2	no	—
664	C₈×D₄	—	47	1	no	—
665	C₈×D₄	C₂×D₄₇	1	2	yes	complemented
666	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
667	#433	—	47	2	no	—
668	#433	—	47	2	no	—
669	#433	—	47	2	no	—
670	#433	—	47	2	no	—
671	#433	—	47	2	no	—
672	#433	—	47	2	no	—
673	#433	—	47	2	no	—
674	#433	C₂×D₄₇	1	2	yes	complemented
675	#432	—	47	1	no	—
676	#432	—	47	1	no	—
677	#432	—	47	1	no	—
678	#432	—	47	1	no	—
679	#431	—	47	1	no	—
680	#431	—	47	1	no	—
681	#431	—	47	1	no	—
682	#431	C₂×D₄₇	1	1	yes	characteristic, complemented
683	#424	—	47	2	no	—
684	#424	—	47	2	no	—
685	#424	—	47	2	no	—
686	#424	—	47	2	no	—
687	#424	—	47	2	no	—
688	#424	—	47	2	no	—
689	#424	—	47	2	no	—
690	#424	C₂×D₄₇	1	2	yes	complemented
691	#423	—	47	2	no	—
692	#423	—	47	1	no	—
693	#423	—	47	1	no	—
694	#423	—	47	1	no	—
695	#423	—	47	1	no	—
696	#423	—	47	2	no	—
697	#423	—	47	1	no	—
698	#423	—	47	2	no	—
699	#423	—	47	2	no	—
700	#423	—	47	1	no	—
701	C₂×C₄⋊C₈	—	47	2	no	—
702	C₂×C₄⋊C₈	—	47	1	no	—
703	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
704	#407	—	47	1	no	—
705	#407	—	47	1	no	—
706	#407	—	47	2	no	—
707	#407	—	47	2	no	—
708	C₄×M₁₆	—	47	2	no	—
709	C₄×M₁₆	—	47	1	no	—
710	C₄×M₁₆	—	47	1	no	—
711	C₄×M₁₆	—	47	2	no	—
712	C₄₇	#60264	1	1	yes	characteristic, complemented, Sylow
713	C₂²×Q₈	—	47	1	no	—
714	C₂²×D₄	—	47	2	no	—
715	C₂²×D₄	—	47	1	no	—
716	C₂³×C₄	—	47	2	no	—
717	C₂³×C₄	—	47	1	no	—
718	C₂³×C₄	—	47	1	no	—
719	C₂³×C₄	—	47	1	no	—
720	C₂×M₁₆	—	47	2	no	—
721	C₂×M₁₆	—	47	2	no	—
722	C₂×M₁₆	—	47	1	no	—
723	C₂×M₁₆	—	47	2	no	—
724	C₂×M₁₆	—	47	1	no	—
725	C₂×M₁₆	—	47	1	no	—
726	C₂×M₁₆	—	47	1	no	—
727	C₂×M₁₆	—	47	2	no	—
728	C₂×M₁₆	—	47	2	no	—
729	C₂×M₁₆	—	47	2	no	—
730	C₂×M₁₆	—	47	2	no	—
731	C₂×M₁₆	—	188	4	no	—
732	C₂×M₁₆	—	188	4	no	—
733	C₂×M₁₆	—	188	4	no	—
734	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
735	C₂²×C₈	—	47	2	no	—
736	C₂²×C₈	—	47	2	no	—
737	C₂²×C₈	—	47	2	no	—
738	C₂²×C₈	—	47	2	no	—
739	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
740	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
741	#126	—	47	2	no	—
742	#126	—	47	2	no	—
743	#126	—	47	2	no	—
744	#126	—	47	2	no	—
745	#126	—	47	2	no	—
746	#126	—	47	2	no	—
747	#126	—	47	2	no	—
748	#126	C₄×D₄₇	1	2	yes	—
749	#125	—	47	2	no	—
750	#125	—	47	2	no	—
751	#125	—	47	1	no	—
752	#125	—	47	1	no	—
753	#125	—	47	1	no	—
754	#125	C₄×D₄₇	1	1	yes	characteristic
755	#124	—	47	1	no	—
756	#124	—	47	1	no	—
757	#124	—	47	2	no	—
758	#124	—	47	2	no	—
759	#124	—	47	1	no	—
760	#124	C₄×D₄₇	1	1	yes	characteristic
761	#123	—	47	2	no	—
762	#123	—	47	2	no	—
763	#123	—	47	2	no	—
764	#123	—	47	2	no	—
765	#123	—	47	2	no	—
766	#123	—	47	2	no	—
767	#123	—	47	2	no	—
768	#123	C₄×D₄₇	1	2	yes	—
769	C₂²⋊Q₈	—	47	1	no	—
770	C₂²⋊Q₈	—	47	1	no	—
771	C₂²⋊Q₈	—	47	2	no	—
772	C₂²⋊Q₈	—	47	1	no	—
773	C₂²⋊Q₈	—	47	2	no	—
774	C₂²⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
775	#121	—	47	1	no	—
776	#121	—	47	2	no	—
777	#121	—	47	1	no	—
778	#121	—	47	1	no	—
779	#121	—	47	2	no	—
780	#121	C₄×D₄₇	1	1	yes	characteristic
781	C₄×Q₈	—	47	1	no	—
782	C₄×Q₈	—	47	2	no	—
783	C₄×Q₈	—	47	1	no	—
784	C₄×Q₈	—	47	1	no	—
785	C₄×Q₈	—	47	2	no	—
786	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
787	C₄×D₄	—	47	1	no	—
788	C₄×D₄	—	47	2	no	—
789	C₄×D₄	—	47	2	no	—
790	C₄×D₄	—	47	2	no	—
791	C₄×D₄	—	47	2	no	—
792	C₄×D₄	—	47	1	no	—
793	C₄×D₄	—	47	2	no	—
794	C₄×D₄	—	47	2	no	—
795	C₄×D₄	—	47	2	no	—
796	C₄×D₄	—	47	2	no	—
797	C₄×D₄	—	47	1	no	—
798	C₄×D₄	—	47	2	no	—
799	C₄×D₄	C₂²×D₄₇	1	2	yes	—
800	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
801	#117	—	47	2	no	—
802	#117	—	47	2	no	—
803	#117	—	47	2	no	—
804	#117	—	47	2	no	—
805	#117	—	47	2	no	—
806	#117	—	47	2	no	—
807	#117	—	47	2	no	—
808	#117	C₂²×D₄₇	1	2	yes	—
809	C₂×C₄⋊C₄	—	47	2	no	—
810	C₂×C₄⋊C₄	—	47	2	no	—
811	C₂×C₄⋊C₄	—	47	1	no	—
812	C₂×C₄⋊C₄	—	47	2	no	—
813	C₂×C₄⋊C₄	—	47	1	no	—
814	C₂×C₄⋊C₄	—	47	2	no	—
815	C₂×C₂²⋊C₄	—	47	2	no	—
816	C₂×C₂²⋊C₄	—	47	2	no	—
817	C₂×C₂²⋊C₄	—	47	2	no	—
818	C₂×C₂²⋊C₄	—	47	2	no	—
819	C₂×C₂²⋊C₄	—	47	2	no	—
820	C₂×C₄²	—	47	1	no	—
821	C₂×C₄²	—	47	1	no	—
822	C₂×C₄²	—	47	1	no	—
823	C₂×C₄²	—	47	1	no	—
824	C₂×C₄²	—	47	1	no	—
825	C₂×C₄²	—	47	1	no	—
826	C₂×C₄²	—	47	1	no	—
827	C₂×C₄²	—	47	1	no	—
828	C₂×C₄²	—	47	2	no	—
829	C₂×C₄²	—	47	1	no	—
830	C₂×C₄²	—	47	1	no	—
831	C₂×C₄²	—	47	1	no	—
832	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
833	C₄⋊C₈	—	47	2	no	—
834	C₄⋊C₈	—	47	2	no	—
835	C₄⋊C₈	—	47	2	no	—
836	C₄⋊C₈	—	47	2	no	—
837	C₄⋊C₈	—	47	1	no	—
838	C₄⋊C₈	—	47	1	no	—
839	C₄⋊C₈	—	47	2	no	—
840	C₄⋊C₈	—	47	2	no	—
841	C₄⋊C₈	—	47	2	no	—
842	C₄⋊C₈	—	47	2	no	—
843	C₄⋊C₈	—	47	1	no	—
844	C₄⋊C₈	—	47	1	no	—
845	C₄⋊C₈	—	47	2	no	—
846	C₄⋊C₈	—	47	1	no	—
847	C₄⋊C₈	—	47	1	no	—
848	C₄⋊C₈	—	47	1	no	—
849	C₄⋊C₈	—	47	2	no	—
850	C₄⋊C₈	—	47	2	no	—
851	C₄⋊C₈	—	47	1	no	—
852	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
853	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
854	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
855	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
856	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
857	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
858	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
859	C₂²⋊C₈	—	47	1	no	—
860	C₂²⋊C₈	—	47	1	no	—
861	C₂²⋊C₈	—	47	2	no	—
862	C₂²⋊C₈	—	47	2	no	—
863	C₂²⋊C₈	—	47	1	no	—
864	C₂²⋊C₈	—	47	1	no	—
865	C₂²⋊C₈	—	47	1	no	—
866	C₂²⋊C₈	—	47	1	no	—
867	C₂²⋊C₈	—	47	2	no	—
868	C₂²⋊C₈	—	47	2	no	—
869	C₂²⋊C₈	—	47	2	no	—
870	C₂²⋊C₈	—	47	2	no	—
871	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
872	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
873	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
874	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
875	#97	—	47	1	no	—
876	#97	—	47	1	no	—
877	#97	—	47	1	no	—
878	#97	—	47	1	no	—
879	#97	—	47	2	no	—
880	#97	—	47	2	no	—
881	#97	—	47	2	no	—
882	#97	C₂²×D₄₇	1	2	yes	—
883	C₄×C₈	—	47	2	no	—
884	C₄×C₈	—	47	2	no	—
885	C₄×C₈	—	47	1	no	—
886	C₄×C₈	—	47	1	no	—
887	C₄×C₈	—	47	2	no	—
888	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
889	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
890	C₄×C₈	C₂²×D₄₇	1	2	yes	—
891	C₂⁴	—	47	1	no	—
892	C₂⁴	—	47	2	no	—
893	C₂×Q₈	—	47	1	no	—
894	C₂×Q₈	—	47	2	no	—
895	C₂×Q₈	—	188	2	no	—
896	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
897	C₂×D₄	—	47	2	no	—
898	C₂×D₄	—	47	2	no	—
899	C₂×D₄	—	47	2	no	—
900	C₂×D₄	—	47	1	no	—
901	C₂×D₄	—	47	2	no	—
902	C₂×D₄	—	188	2	no	—
903	C₂×D₄	—	188	4	no	—
904	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
905	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
906	C₂²×C₄	—	47	1	no	—
907	C₂²×C₄	—	47	1	no	—
908	C₂²×C₄	—	47	1	no	—
909	C₂²×C₄	—	47	2	no	—
910	C₂²×C₄	—	47	1	no	—
911	C₂²×C₄	—	47	1	no	—
912	C₂²×C₄	—	47	1	no	—
913	C₂²×C₄	—	47	1	no	—
914	C₂²×C₄	—	47	1	no	—
915	C₂²×C₄	—	47	2	no	—
916	C₂²×C₄	—	47	2	no	—
917	C₂²×C₄	—	47	1	no	—
918	C₂²×C₄	—	47	2	no	—
919	C₂²×C₄	—	47	1	no	—
920	C₂²×C₄	—	47	1	no	—
921	C₂²×C₄	—	47	1	no	—
922	C₂²×C₄	—	47	1	no	—
923	C₂²×C₄	—	47	1	no	—
924	C₂²×C₄	—	47	1	no	—
925	C₂²×C₄	—	47	2	no	—
926	C₂²×C₄	—	47	2	no	—
927	C₂²×C₄	—	94	2	no	—
928	C₂²×C₄	—	94	4	no	—
929	C₂²×C₄	—	94	4	no	—
930	C₂²×C₄	—	94	2	no	—
931	C₂²×C₄	—	188	2	no	—
932	C₂²×C₄	—	188	2	no	—
933	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
934	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
935	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
936	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
937	M₁₆	—	4	2	no	—
938	M₁₆	—	94	2	no	—
939	M₁₆	—	94	2	no	—
940	M₁₆	—	94	4	no	—
941	M₁₆	—	94	2	no	—
942	M₁₆	—	94	4	no	—
943	M₁₆	—	94	2	no	—
944	M₁₆	—	188	2	no	—
945	M₁₆	—	188	2	no	—
946	M₁₆	—	188	2	no	—
947	M₁₆	—	188	2	no	—
948	M₁₆	—	188	2	no	—
949	C₂×C₈	—	4	2	no	—
950	C₂×C₈	—	4	2	no	—
951	C₂×C₈	—	47	1	no	—
952	C₂×C₈	—	47	1	no	—
953	C₂×C₈	—	47	2	no	—
954	C₂×C₈	—	47	1	no	—
955	C₂×C₈	—	47	1	no	—
956	C₂×C₈	—	47	2	no	—
957	C₂×C₈	—	188	2	no	—
958	C₂×C₈	—	188	2	no	—
959	C₂×C₈	—	188	2	no	—
960	C₂×C₈	—	188	2	no	—
961	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
962	C₂×C₈	C₂³×D₄₇	1	2	yes	—
963	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
964	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
965	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
966	C₂×C₈	C₂³×D₄₇	1	2	yes	—
967	C₄⋊C₄	—	47	2	no	—
968	C₄⋊C₄	—	47	2	no	—
969	C₄⋊C₄	—	47	2	no	—
970	C₄⋊C₄	—	47	2	no	—
971	C₄⋊C₄	—	47	2	no	—
972	C₄⋊C₄	—	47	2	no	—
973	C₄⋊C₄	—	47	2	no	—
974	C₄⋊C₄	—	47	2	no	—
975	C₄⋊C₄	—	47	2	no	—
976	C₄⋊C₄	—	47	2	no	—
977	C₄⋊C₄	—	47	2	no	—
978	C₄⋊C₄	—	47	2	no	—
979	C₄⋊C₄	—	47	1	no	—
980	C₄⋊C₄	—	47	2	no	—
981	C₄⋊C₄	—	47	1	no	—
982	C₄⋊C₄	—	47	2	no	—
983	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
984	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
985	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
986	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
987	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
988	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
989	C₂²⋊C₄	—	47	2	no	—
990	C₂²⋊C₄	—	47	2	no	—
991	C₂²⋊C₄	—	47	2	no	—
992	C₂²⋊C₄	—	47	2	no	—
993	C₂²⋊C₄	—	47	2	no	—
994	C₂²⋊C₄	—	47	2	no	—
995	C₂²⋊C₄	—	47	2	no	—
996	C₂²⋊C₄	—	47	2	no	—
997	C₂²⋊C₄	—	47	2	no	—
998	C₂²⋊C₄	—	47	2	no	—
999	C₂²⋊C₄	—	47	2	no	—
1000	C₂²⋊C₄	—	47	2	no	—
1001	C₂²⋊C₄	—	47	2	no	—
1002	C₂²⋊C₄	—	47	2	no	—
1003	C₂²⋊C₄	—	47	2	no	—
1004	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1005	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1006	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1009	C₄²	—	47	1	no	—
1010	C₄²	—	47	1	no	—
1011	C₄²	—	47	1	no	—
1012	C₄²	—	47	1	no	—
1013	C₄²	—	47	1	no	—
1014	C₄²	—	47	1	no	—
1015	C₄²	—	47	1	no	—
1016	C₄²	—	47	1	no	—
1017	C₄²	—	47	1	no	—
1018	C₄²	—	47	1	no	—
1019	C₄²	—	47	2	no	—
1020	C₄²	—	47	2	no	—
1021	C₄²	—	47	2	no	—
1022	C₄²	—	47	1	no	—
1023	C₄²	—	47	1	no	—
1024	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1025	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1026	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1027	C₄²	C₂³×D₄₇	1	2	yes	—
1028	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1029	C₂³	—	47	1	no	—
1030	C₂³	—	47	2	no	—
1031	C₂³	—	47	1	no	—
1032	C₂³	—	94	4	no	—
1033	C₂³	—	94	2	no	—
1034	C₂³	—	94	2	no	—
1035	C₂³	—	188	2	no	—
1036	C₂³	—	188	2	no	—
1037	C₂³	—	188	1	no	—
1038	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1039	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1040	Q₈	—	2	2	no	—
1041	Q₈	—	94	2	no	—
1042	Q₈	—	188	2	no	—
1043	D₄	—	2	4	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	94	4	no	—
1046	D₄	—	94	2	no	—
1047	D₄	—	188	2	no	—
1048	D₄	—	188	2	no	—
1049	D₄	—	188	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	47	1	no	—
1057	C₂×C₄	—	47	2	no	—
1058	C₂×C₄	—	47	2	no	—
1059	C₂×C₄	—	47	1	no	—
1060	C₂×C₄	—	47	1	no	—
1061	C₂×C₄	—	47	1	no	—
1062	C₂×C₄	—	47	1	no	—
1063	C₂×C₄	—	47	1	no	—
1064	C₂×C₄	—	47	2	no	—
1065	C₂×C₄	—	47	2	no	—
1066	C₂×C₄	—	47	2	no	—
1067	C₂×C₄	—	94	2	no	—
1068	C₂×C₄	—	94	4	no	—
1069	C₂×C₄	—	94	2	no	—
1070	C₂×C₄	—	94	4	no	—
1071	C₂×C₄	—	94	2	no	—
1072	C₂×C₄	—	94	4	no	—
1073	C₂×C₄	—	94	2	no	—
1074	C₂×C₄	—	94	2	no	—
1075	C₂×C₄	—	94	2	no	—
1076	C₂×C₄	—	94	2	no	—
1077	C₂×C₄	—	94	1	no	—
1078	C₂×C₄	—	94	1	no	—
1079	C₂×C₄	—	94	2	no	—
1080	C₂×C₄	—	188	1	no	—
1081	C₂×C₄	—	188	1	no	—
1082	C₂×C₄	—	188	1	no	—
1083	C₂×C₄	—	188	1	no	—
1084	C₂×C₄	—	188	1	no	—
1085	C₂×C₄	—	188	1	no	—
1086	C₂×C₄	—	188	2	no	—
1087	C₂×C₄	—	188	2	no	—
1088	C₂×C₄	—	188	1	no	—
1089	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1090	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1091	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1092	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1093	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1094	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1095	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1096	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1097	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	2	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	1	no	—
1103	C₈	—	2	1	no	—
1104	C₈	—	94	1	no	—
1105	C₈	—	94	2	no	—
1106	C₈	—	94	1	no	—
1107	C₈	—	94	2	no	—
1108	C₈	—	94	1	no	—
1109	C₈	—	94	1	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	47	2	no	—
1116	C₂²	—	94	1	no	—
1117	C₂²	—	94	1	no	—
1118	C₂²	—	94	1	no	—
1119	C₂²	—	94	1	no	—
1120	C₂²	—	94	2	no	—
1121	C₂²	—	94	2	no	—
1122	C₂²	—	94	2	no	—
1123	C₂²	—	94	1	no	—
1124	C₂²	—	376	4	no	—
1125	C₂²	—	188	4	no	—
1126	C₂²	#15689888	1	2	yes	—
1127	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1128	C₄	—	2	1	no	—
1129	C₄	—	2	1	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	47	2	no	—
1136	C₄	—	94	1	no	—
1137	C₄	—	94	1	no	—
1138	C₄	—	94	1	no	—
1139	C₄	—	94	1	no	—
1140	C₄	—	94	2	no	—
1141	C₄	—	94	2	no	—
1142	C₄	—	94	1	no	—
1143	C₄	—	94	2	no	—
1144	C₄	#15689888	1	2	yes	—
1145	C₄	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1146	C₄	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1147	C₂	—	2	2	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	94	2	no	—
1150	C₂	—	188	2	no	—
1151	C₂	—	188	1	no	—
1152	C₂	#520×D₄₇	1	1	yes	characteristic
1153	C₂	C₂×#15689888	1	1	yes	characteristic
1154	C₂	C₂×#15689888	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2994	C₂
prime radical	#121×D₄₇	C₄
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2994	D₄₇
hypocenter	C₄₇	#60264
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2994

Complements

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

N	H ≅ G/N	type
2. #20252556	C₂	semidirect
3. #20252553	C₂	semidirect
4. #20252550	C₂	semidirect
5. #20252548	C₂	semidirect
6. #20252544	C₂	semidirect
7. #20252540	C₂	semidirect
8. #20252538	C₂	semidirect
9. #20252536	C₂	semidirect
10. #20252532	C₂	semidirect
11. #20252528	C₂	semidirect
12. #20252521	C₂	semidirect
13. #20252340	C₂	semidirect
14. Q₈×#10625324	C₂	semidirect
15. #20252124	C₂	semidirect
16. #20252121	C₂	semidirect
17. D₄×#10625324	C₂	semidirect
18. D₄×#10625324	C₂	semidirect
19. #20252022	C₂	semidirect
20. #20252016	C₂	semidirect
21. #20251949	C₂	semidirect
22. C₂×#15689145	C₂	semidirect
23. C₄₇×#2994	C₂	semidirect
49. #15689254	C₂²	semidirect
50. #15689253	C₂²	semidirect
51. #15689253	C₂²	semidirect
52. #15689252	C₂²	semidirect
53. #15689251	C₂²	semidirect
54. #15689250	C₂²	semidirect
55. #15689250	C₂²	semidirect
56. Q₈×C₄₇⋊C₈	C₂²	semidirect
57. C₈×Dic₉₄	C₂²	semidirect
58. #15689247	C₂²	semidirect
59. #15689202	C₂²	semidirect
60. #15689202	C₂²	semidirect
61. #15689201	C₂²	semidirect
62. #15689200	C₂²	semidirect
63. #15689200	C₂²	semidirect
64. #15689199	C₂²	semidirect
65. #15689198	C₂²	semidirect
66. #15689197	C₂²	semidirect
67. #15689196	C₂²	semidirect
68. #15689195	C₂²	semidirect
69. #15689194	C₂²	semidirect
70. #15689194	C₂²	semidirect
71. #15689194	C₂²	semidirect
72. #15689193	C₂²	semidirect
73. #15689192	C₂²	semidirect
74. #15689191	C₂²	semidirect
75. #15689191	C₂²	semidirect
76. #15689191	C₂²	semidirect
77. C₈×D₁₈₈	C₂²	semidirect
78. D₄×C₄₇⋊C₈	C₂²	semidirect
79. D₄×C₄₇⋊C₈	C₂²	semidirect
80. #15689188	C₂²	semidirect
81. C₈×C₂²⋊D₄₇	C₂²	semidirect
82. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
83. #15689185	C₂²	semidirect
84. #15689184	C₂²	semidirect
85. #15689183	C₂²	semidirect
86. #15689183	C₂²	semidirect
87. #15689182	C₂²	semidirect
88. #15689181	C₂²	semidirect
89. #15689181	C₂²	semidirect
90. #15689179	C₂²	semidirect
91. #15689179	C₂²	semidirect
92. #15689177	C₂²	semidirect
93. #15689177	C₂²	semidirect
94. #15689176	C₂²	semidirect
95. #15689174	C₂²	semidirect
96. #15689174	C₂²	semidirect
97. #15689151	C₂²	semidirect
98. #15689150	C₂²	semidirect
99. #15689149	C₂²	semidirect
100. #15689148	C₂²	semidirect
101. #15689148	C₂²	semidirect
102. #15689148	C₂²	semidirect
103. #15689148	C₂²	semidirect
111. #15689145	C₂²	semidirect
112. #15689145	C₂²	semidirect
113. #15689145	C₂²	semidirect
114. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
115. C₂×Dic₄₇⋊C₈	C₂²	semidirect
125. C₄₇×#446	C₂²	semidirect
126. C₈×Q₈×C₄₇	C₂²	semidirect
127. C₄₇×#436	C₂²	semidirect
128. C₄₇×#435	C₂²	semidirect
129. C₈×D₄×C₄₇	C₂²	semidirect
130. C₈×D₄×C₄₇	C₂²	semidirect
131. C₄₇×#433	C₂²	semidirect
132. C₄₇×#431	C₂²	semidirect
133. C₄₇×#424	C₂²	semidirect
134. C₂×C₄⋊C₈×C₄₇	C₂²	semidirect
576. #2994	D₄₇	semidirect
634. #446	C₂×D₄₇	semidirect
638. C₈×Q₈	C₂×D₄₇	semidirect
646. #436	C₂×D₄₇	semidirect
658. #435	C₂×D₄₇	semidirect
665. C₈×D₄	C₂×D₄₇	semidirect
666. C₈×D₄	C₂×D₄₇	semidirect
674. #433	C₂×D₄₇	semidirect
682. #431	C₂×D₄₇	semidirect
690. #424	C₂×D₄₇	semidirect
703. C₂×C₄⋊C₈	C₂×D₄₇	semidirect
712. C₄₇	#60264	semidirect

Maximal subgroups

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

subgroup	index
#529×D₄₇	2
#20252556	2
#20252553	2
#20252550	2
#20252548	2
#20252544	2
#20252540	2
#20252538	2
#20252536	2
#20252532	2
#20252528	2
#20252521	2
#20252340	2
Q₈×#10625324	2
#20252124	2
#20252121	2
D₄×#10625324	2
#20252022	2
#20252016	2
#20251949	2
C₂×#15689145	2
C₄₇×#2994	2
#60264	47