Subgroups — #27080097

Order 12032.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1172 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256589	C₂	1	1	yes	maximal, characteristic
2	#20252055	C₂	1	2	yes	maximal, complemented
3	#20252052	C₂	1	1	yes	maximal, characteristic, complemented
4	#20252052	C₂	1	1	yes	maximal, characteristic, complemented
5	#20252049	C₂	1	2	yes	maximal, complemented
6	#20252046	C₂	1	1	yes	maximal, characteristic, complemented
7	#20252044	C₂	1	2	yes	maximal, complemented
8	#20252044	C₂	1	2	yes	maximal, complemented
9	#20252038	C₂	1	1	yes	maximal, characteristic, complemented
10	#20252034	C₂	1	2	yes	maximal, complemented
11	#20252031	C₂	1	1	yes	maximal, characteristic, complemented
12	#20252027	C₂	1	2	yes	maximal, complemented
13	#20252023	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252022	C₂	1	2	yes	maximal, complemented
15	C₂×#15689181	C₂	1	1	yes	maximal, characteristic, complemented
16	#433×D₄₇	C₂	1	2	yes	maximal, complemented
17	#20251955	C₂	1	1	yes	maximal, characteristic, complemented
18	#20251955	C₂	1	1	yes	maximal, characteristic, complemented
19	#20251838	C₂	1	1	yes	maximal, characteristic
20	#20251834	C₂	1	1	yes	maximal, characteristic
21	#20251815	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251810	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10625350	C₂²	1	1	yes	characteristic
25	C₂×#13094032	C₂²	1	1	yes	characteristic
26	C₂×#13094032	C₂²	1	1	yes	characteristic
27	C₂×#13094030	C₂²	1	1	yes	characteristic
28	C₂×#13094030	C₂²	1	1	yes	characteristic
29	#15689604	C₄	1	1	yes	characteristic
30	#15689604	C₄	1	1	yes	characteristic
31	#15689604	C₄	1	1	yes	characteristic
32	#15689604	C₄	1	1	yes	characteristic
33	#15689603	C₄	1	2	yes	—
34	#15689603	C₄	1	2	yes	—
35	#15689600	C₄	1	1	yes	characteristic
36	#15689600	C₄	1	1	yes	characteristic
37	#15689597	C₄	1	1	yes	characteristic
38	#15689597	C₄	1	1	yes	characteristic
39	#15689596	C₄	1	2	yes	—
40	#15689596	C₄	1	2	yes	—
41	C₄×#10625350	C₂²	1	2	yes	—
42	C₄×#10625350	C₂²	1	2	yes	—
43	#15689591	C₂²	1	1	yes	characteristic
44	#15689591	C₂²	1	1	yes	characteristic
45	#15689591	C₂²	1	1	yes	characteristic
46	#15689591	C₂²	1	1	yes	characteristic
47	C₂×#13093983	C₂²	1	1	yes	characteristic
48	#117×D₄₇	C₂²	1	2	yes	—
49	#117×D₄₇	C₂²	1	2	yes	—
50	#15689185	C₂²	1	2	yes	complemented
51	#15689185	C₂²	1	2	yes	complemented
52	#15689184	C₂²	1	2	yes	—
53	#15689184	C₂²	1	2	yes	—
54	#15689183	C₂²	1	2	yes	complemented
55	#15689183	C₂²	1	2	yes	complemented
56	#15689183	C₂²	1	2	yes	complemented
57	#15689183	C₂²	1	2	yes	complemented
58	#15689182	C₂²	1	2	yes	complemented
59	#15689182	C₂²	1	2	yes	complemented
60	#15689181	C₂²	1	1	yes	characteristic
61	#15689181	C₂²	1	2	yes	—
62	#15689181	C₂²	1	1	yes	characteristic
63	#15689181	C₂²	1	1	yes	characteristic
64	#15689181	C₂²	1	1	yes	characteristic
65	#15689181	C₂²	1	2	yes	—
66	#15689181	C₂²	1	1	yes	characteristic, complemented
67	#15689181	C₂²	1	1	yes	characteristic, complemented
68	#15689181	C₂²	1	1	yes	characteristic, complemented
69	#15689181	C₂²	1	1	yes	characteristic, complemented
70	#15689181	C₂²	1	2	yes	complemented
71	#15689181	C₂²	1	2	yes	complemented
72	#15689180	C₂²	1	2	yes	complemented
73	#15689179	C₂²	1	2	yes	complemented
74	#15689179	C₂²	1	2	yes	complemented
75	#15689178	C₂²	1	2	yes	complemented
76	#15689178	C₂²	1	2	yes	complemented
77	#15689176	C₂²	1	2	yes	complemented
78	#15689175	C₂²	1	2	yes	complemented
79	#15689175	C₂²	1	2	yes	complemented
80	#15689174	C₂²	1	2	yes	complemented
81	#15689174	C₂²	1	2	yes	complemented
82	#15689150	C₂²	1	1	yes	characteristic, complemented
83	#15689150	C₂²	1	1	yes	characteristic, complemented
84	#15689148	C₂²	1	2	yes	complemented
85	#15689148	C₂²	1	2	yes	complemented
86	#15689148	C₂²	1	2	yes	complemented
87	#15689148	C₂²	1	2	yes	complemented
88	#15689146	C₂²	1	1	yes	characteristic, complemented
89	#15689146	C₂²	1	1	yes	characteristic, complemented
90	#15689145	C₂²	1	2	yes	complemented
91	#15689145	C₂²	1	2	yes	complemented
92	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
93	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
94	C₄⋊C₈×D₄₇	C₂²	1	2	yes	complemented
95	C₄⋊C₈×D₄₇	C₂²	1	2	yes	complemented
96	#15689091	C₂²	1	1	yes	characteristic
97	#15689091	C₂²	1	1	yes	characteristic
98	#15689089	C₂²	1	1	yes	characteristic
99	#15689089	C₂²	1	1	yes	characteristic
100	#15689088	C₂²	1	2	yes	—
101	#15689088	C₂²	1	2	yes	—
102	#15689088	C₂²	1	2	yes	—
103	#15689088	C₂²	1	2	yes	—
104	#15689087	C₂²	1	1	yes	characteristic
105	#15689085	C₂²	1	2	yes	—
106	#15689085	C₂²	1	2	yes	—
107	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
108	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	—
109	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	—
110	#15689080	C₂²	1	2	yes	complemented
111	#15689080	C₂²	1	2	yes	complemented
112	#15689079	C₂²	1	1	yes	characteristic, complemented
113	#15689079	C₂²	1	1	yes	characteristic, complemented
114	#15689077	C₂²	1	2	yes	complemented
115	#15689077	C₂²	1	2	yes	complemented
116	#15689075	C₂²	1	2	yes	complemented
117	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
118	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
119	C₄×#10625324	C₂²	1	2	yes	complemented
120	C₂×#13093934	C₂²	1	1	yes	characteristic, complemented
121	#97×D₄₇	C₂²	1	2	yes	complemented
122	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₈×D₄₇	C₂²	1	2	yes	complemented
124	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
125	C₄₇×#433	C₂²	1	2	yes	—
126	C₄₇×#433	C₂²	1	2	yes	—
127	C₄₇×#432	C₂²	1	2	yes	complemented
128	C₄₇×#431	C₂²	1	2	yes	complemented
129	C₄₇×#424	C₂²	1	1	yes	characteristic, complemented
130	C₄₇×#424	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#407	C₂²	1	1	yes	characteristic
132	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
133	C₄₇×#405	C₂²	1	1	yes	characteristic, complemented
134	C₄₇×#405	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625350	—	2	4	no	—
136	C₂×#10625350	—	2	4	no	—
137	C₂×#10625350	C₂×C₄	1	2	yes	—
138	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
139	C₂×#10625350	C₂×C₄	1	1	yes	characteristic
140	C₂×#10625350	C₂³	1	1	yes	characteristic
141	C₂×#10625350	C₂³	1	2	yes	—
142	C₂×#10625350	C₂³	1	1	yes	characteristic
143	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
144	C₂²×D₁₈₈	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
146	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
147	#13094032	—	2	4	no	—
148	#13094032	—	2	4	no	—
149	#13094030	—	2	4	no	—
150	#13094030	—	2	4	no	—
151	C₂×#10625329	C₂³	1	1	yes	characteristic
152	C₂×#10625329	C₂³	1	1	yes	characteristic
153	C₂×#10625324	C₂³	1	2	yes	—
154	C₂×#10625324	C₂³	1	2	yes	—
155	C₂×#10625324	C₂³	1	2	yes	—
156	C₂×#10625324	C₂³	1	2	yes	—
157	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
158	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
159	C₂×C₈×D₄₇	C₂³	1	2	yes	—
160	C₂×C₈×D₄₇	C₂³	1	2	yes	—
161	C₂×C₈×D₄₇	C₂³	1	2	yes	—
162	C₂×C₈×D₄₇	C₂³	1	2	yes	—
163	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
164	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
165	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
166	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
167	#13093989	C₂×C₄	1	1	yes	characteristic
168	#13093989	C₂×C₄	1	1	yes	characteristic
169	#13093989	C₂×C₄	1	1	yes	characteristic
170	#13093989	C₂×C₄	1	1	yes	characteristic
171	#13093989	C₂×C₄	1	1	yes	characteristic
172	#13093989	C₂×C₄	1	1	yes	characteristic
173	#13093989	C₂×C₄	1	1	yes	characteristic
174	#13093989	C₂×C₄	1	1	yes	characteristic
175	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
176	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
177	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
178	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
179	#13093986	C₂×C₄	1	1	yes	characteristic
180	#13093986	C₂×C₄	1	1	yes	characteristic
181	#13093986	C₂×C₄	1	1	yes	characteristic
182	#13093986	C₂×C₄	1	1	yes	characteristic
183	#13093986	C₂×C₄	1	1	yes	characteristic
184	#13093986	C₂×C₄	1	1	yes	characteristic
185	#13093986	C₂×C₄	1	1	yes	characteristic
186	#13093986	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
188	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
189	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
190	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
191	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
192	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
193	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
194	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
195	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
196	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
197	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
198	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
199	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
200	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
201	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
202	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
203	#13093983	C₂×C₄	1	1	yes	characteristic
204	#13093983	C₂×C₄	1	1	yes	characteristic
205	#13093983	C₂×C₄	1	1	yes	characteristic
206	#13093983	C₂×C₄	1	1	yes	characteristic
207	#13093983	C₂³	1	1	yes	characteristic
208	#13093983	C₂³	1	1	yes	characteristic
209	#13093983	C₂³	1	1	yes	characteristic
210	#13093983	C₂³	1	1	yes	characteristic
211	#13093982	C₂×C₄	1	2	yes	—
212	#13093982	C₂×C₄	1	2	yes	—
213	#13093982	C₂×C₄	1	2	yes	—
214	#13093982	C₂×C₄	1	2	yes	—
215	#13093981	C₂³	1	2	yes	—
216	#13093981	C₂³	1	2	yes	—
217	#13093981	C₂³	1	2	yes	—
218	#13093981	C₂³	1	2	yes	—
219	#13093980	C₂×C₄	1	2	yes	—
220	#13093980	C₂×C₄	1	2	yes	—
221	#13093980	C₂×C₄	1	2	yes	—
222	#13093980	C₂×C₄	1	2	yes	—
223	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
225	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
226	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
227	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
228	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
229	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
231	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
232	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
233	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
234	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
235	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
236	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
237	C₄²×D₄₇	C₂³	1	2	yes	—
238	C₄²×D₄₇	C₂³	1	2	yes	—
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	1	yes	characteristic
247	Dic₄₇⋊C₈	C₂³	1	2	yes	—
248	Dic₄₇⋊C₈	C₂³	1	2	yes	—
249	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
250	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
251	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
252	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
253	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
254	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
255	Dic₄₇⋊C₈	C₂³	1	2	yes	—
256	Dic₄₇⋊C₈	C₂³	1	2	yes	—
257	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
258	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
259	C₂²⋊(C₄₇⋊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	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
264	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
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	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	2	yes	—
280	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
281	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
282	C₈×Dic₄₇	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
286	C₈×Dic₄₇	C₂³	1	2	yes	—
287	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
288	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
289	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
292	#117×C₄₇	C₂×C₄	1	1	yes	characteristic
293	#117×C₄₇	C₂×C₄	1	1	yes	characteristic
294	#117×C₄₇	C₂×C₄	1	2	yes	—
295	#117×C₄₇	C₂³	1	2	yes	—
296	#117×C₄₇	C₂³	1	1	yes	characteristic
297	#117×C₄₇	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
299	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
301	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
302	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
303	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
304	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
305	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
310	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
311	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
312	#97×C₄₇	C₂³	1	2	yes	—
313	#97×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	2	yes	—
318	C₂²×C₄×C₄₇	—	2	2	no	—
319	C₂²×C₄×C₄₇	—	2	2	no	—
320	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
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	8	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	2	yes	—
332	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
333	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
334	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
335	C₂²×Dic₄₇	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	#10625350	—	2	2	no	—
339	#10625350	—	2	2	no	—
340	#10625350	—	2	8	no	—
341	#10625350	—	2	4	no	—
342	#10625350	—	2	4	no	—
343	#10625350	—	2	4	no	—
344	#10625350	—	2	4	no	—
345	#10625350	#41	1	4	yes	—
346	#10625350	#41	1	4	yes	—
347	C₂×D₁₈₈	—	2	4	no	—
348	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
349	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
350	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
351	C₂×C₄×D₄₇	—	2	4	no	—
352	C₂×C₄×D₄₇	—	2	4	no	—
353	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
354	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
355	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
356	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
357	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
358	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
359	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
360	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
361	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
362	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
363	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
364	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
365	C₂×Dic₉₄	—	2	4	no	—
366	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
367	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
368	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
369	M₁₆×C₄₇	—	2	2	no	—
370	M₁₆×C₄₇	—	2	2	no	—
371	C₂×C₈×C₄₇	—	2	2	no	—
372	C₂×C₈×C₄₇	—	2	2	no	—
373	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
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	2	yes	—
379	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
380	C₄⋊C₄×C₄₇	C₂²×C₄	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	1	yes	characteristic
384	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
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	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
390	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
391	C₄²×C₄₇	C₂⁴	1	2	yes	—
392	C₄²×C₄₇	C₂⁴	1	2	yes	—
393	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
394	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
395	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
396	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
397	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
398	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
399	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
400	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
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	(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	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
410	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
411	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
412	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
413	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
414	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
415	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
416	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
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	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
421	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
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	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
426	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
427	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
428	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
429	C₄×Dic₄₇	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	1	yes	characteristic
434	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
435	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
436	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
437	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₄₇⋊C₈	—	2	2	no	—
444	C₂×C₄₇⋊C₈	—	2	2	no	—
445	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
446	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
447	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
448	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
449	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
450	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
451	#10625324	—	2	4	no	—
452	#10625324	—	2	4	no	—
453	#10625324	—	2	4	no	—
454	#10625324	—	2	4	no	—
455	C₈×D₄₇	—	2	4	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	—	4	1	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	4	no	—
466	C₂²×D₄₇	—	4	2	no	—
467	C₂²×D₄₇	—	4	2	no	—
468	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
469	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
470	C₂×C₄×C₄₇	—	2	2	no	—
471	C₂×C₄×C₄₇	—	2	2	no	—
472	C₂×C₄×C₄₇	—	2	2	no	—
473	C₂×C₄×C₄₇	—	2	1	no	—
474	C₂×C₄×C₄₇	—	2	1	no	—
475	C₂×C₄×C₄₇	—	2	1	no	—
476	C₂×C₄×C₄₇	—	2	1	no	—
477	C₂×C₄×C₄₇	—	4	2	no	—
478	C₂×C₄×C₄₇	—	4	2	no	—
479	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
486	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
487	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
488	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
489	C₂²⋊D₄₇	—	2	4	no	—
490	C₂²⋊D₄₇	—	2	4	no	—
491	C₂²⋊D₄₇	—	2	4	no	—
492	C₂²⋊D₄₇	#117	1	8	yes	—
493	C₂×Dic₄₇	—	2	4	no	—
494	C₂×Dic₄₇	—	4	1	no	—
495	C₂×Dic₄₇	—	4	1	no	—
496	C₂×Dic₄₇	—	4	1	no	—
497	C₂×Dic₄₇	—	4	1	no	—
498	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
499	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
500	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
501	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
502	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
503	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
504	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
505	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
506	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
507	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
508	D₁₈₈	—	2	4	no	—
509	D₁₈₈	—	2	2	no	—
510	D₁₈₈	#117	1	4	yes	—
511	C₄×D₄₇	—	2	4	no	—
512	C₄×D₄₇	—	2	2	no	—
513	C₄×D₄₇	—	2	2	no	—
514	C₄×D₄₇	—	2	4	no	—
515	C₄×D₄₇	—	4	2	no	—
516	C₄×D₄₇	—	4	2	no	—
517	C₄×D₄₇	—	4	2	no	—
518	C₄×D₄₇	—	4	2	no	—
519	C₄×D₄₇	—	4	2	no	—
520	C₄×D₄₇	—	4	2	no	—
521	C₄×D₄₇	—	4	2	no	—
522	C₄×D₄₇	—	4	2	no	—
523	C₄×D₄₇	C₂×#41	1	4	yes	—
524	C₄×D₄₇	C₂×#41	1	4	yes	—
525	Dic₉₄	—	2	2	no	—
526	Dic₉₄	—	2	4	no	—
527	Dic₉₄	#117	1	4	yes	—
528	C₈×C₄₇	—	2	1	no	—
529	C₈×C₄₇	—	2	1	no	—
530	C₈×C₄₇	—	2	2	no	—
531	C₈×C₄₇	—	2	2	no	—
532	C₈×C₄₇	—	2	1	no	—
533	C₈×C₄₇	—	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	C₄₇⋊C₈	—	2	1	no	—
540	#60129	—	47	1	no	maximal, Sylow
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	—	2	1	no	—
548	C₂²×C₄₇	—	2	1	no	—
549	C₂²×C₄₇	—	8	2	no	—
550	C₂²×C₄₇	C₂×#117	1	2	yes	—
551	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
552	C₂×D₄₇	—	2	2	no	—
553	C₂×D₄₇	—	2	2	no	—
554	C₂×D₄₇	—	2	2	no	—
555	C₂×D₄₇	—	2	2	no	—
556	C₂×D₄₇	—	2	2	no	—
557	C₂×D₄₇	—	8	4	no	—
558	C₂×D₄₇	C₂×#117	1	4	yes	—
559	C₄×C₄₇	—	2	1	no	—
560	C₄×C₄₇	—	2	1	no	—
561	C₄×C₄₇	—	2	2	no	—
562	C₄×C₄₇	—	2	2	no	—
563	C₄×C₄₇	—	2	2	no	—
564	C₄×C₄₇	—	2	2	no	—
565	C₄×C₄₇	C₂×#117	1	2	yes	—
566	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
567	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
568	Dic₄₇	—	2	2	no	—
569	Dic₄₇	—	2	1	no	—
570	Dic₄₇	—	2	1	no	—
571	Dic₄₇	—	2	1	no	—
572	Dic₄₇	—	2	1	no	—
573	Dic₄₇	—	2	1	no	—
574	Dic₄₇	—	2	1	no	—
575	Dic₄₇	—	2	1	no	—
576	Dic₄₇	—	2	1	no	—
577	Dic₄₇	C₂×#117	1	4	yes	—
578	#3428	—	47	1	no	—
579	#2925	—	47	2	no	—
580	#2925	—	47	2	no	—
581	#2925	—	47	1	no	—
582	#2925	—	47	1	no	—
583	#2924	—	47	2	no	—
584	#2924	—	47	2	no	—
585	#2924	—	47	1	no	—
586	#2924	D₄₇	1	1	yes	characteristic, complemented
587	#2923	—	47	2	no	—
588	#2923	—	47	1	no	—
589	#2922	—	47	2	no	—
590	#2922	—	47	1	no	—
591	#2921	—	47	2	no	—
592	#2921	—	47	1	no	—
593	C₂×#433	—	47	2	no	—
594	C₂×#433	—	47	1	no	—
595	#2906	—	47	1	no	—
596	#2906	—	47	1	no	—
597	#2880	—	47	1	no	—
598	#2880	—	47	1	no	—
599	#2875	—	47	1	no	—
600	C₄×#131	—	47	1	no	—
601	C₂×C₄₇	—	2	2	no	—
602	C₂×C₄₇	—	4	1	no	—
603	C₂×C₄₇	—	4	1	no	—
604	C₂×C₄₇	C₂²×#117	1	1	yes	characteristic
605	C₂×C₄₇	#3573	1	1	yes	characteristic
606	C₂×C₄₇	#3573	1	1	yes	characteristic
607	D₄₇	—	2	4	no	—
608	D₄₇	—	4	2	no	—
609	C₂²×#41	—	47	1	no	—
610	C₂×#131	—	47	1	no	—
611	C₂×#131	—	47	1	no	—
612	C₂×#131	—	47	1	no	—
613	C₂×#131	—	47	1	no	—
614	#520	—	47	2	no	—
615	#520	—	47	2	no	—
616	#520	—	47	1	no	—
617	#520	—	47	1	no	—
618	#520	—	47	1	no	—
619	#520	—	47	1	no	—
620	#519	—	47	1	no	—
621	#519	—	47	1	no	—
622	#518	—	47	1	no	—
623	#518	—	47	1	no	—
624	#518	—	47	2	no	—
625	#518	—	47	2	no	—
626	C₄×#41	—	47	1	no	—
627	C₄×#41	—	47	1	no	—
628	C₄×#41	—	47	1	no	—
629	C₄×#41	—	47	1	no	—
630	C₄×#41	—	47	2	no	—
631	C₄×#41	—	47	2	no	—
632	C₂×#117	—	47	1	no	—
633	C₂×#117	—	47	2	no	—
634	C₂×#117	—	47	2	no	—
635	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
636	#433	—	47	2	no	—
637	#433	—	47	2	no	—
638	#433	—	47	2	no	—
639	#433	—	47	2	no	—
640	#433	—	47	2	no	—
641	#433	—	47	2	no	—
642	#433	—	47	1	no	—
643	#433	—	47	2	no	—
644	#433	—	47	1	no	—
645	#433	—	47	1	no	—
646	#433	—	47	1	no	—
647	#433	—	47	1	no	—
648	#433	—	47	1	no	—
649	#433	—	47	1	no	—
650	#433	—	47	1	no	—
651	#433	—	47	2	no	—
652	#433	—	47	2	no	—
653	#433	—	47	2	no	—
654	#433	—	47	2	no	—
655	#433	—	47	2	no	—
656	#433	—	47	2	no	—
657	#433	—	47	2	no	—
658	#433	C₂×D₄₇	1	2	yes	—
659	#433	C₂×D₄₇	1	2	yes	—
660	#432	—	47	2	no	—
661	#432	—	47	2	no	—
662	#432	—	47	2	no	—
663	#432	—	47	2	no	—
664	#432	—	47	2	no	—
665	#432	C₂×D₄₇	1	2	yes	complemented
666	#431	—	47	2	no	—
667	#431	—	47	2	no	—
668	#431	—	47	2	no	—
669	#431	—	47	2	no	—
670	#431	—	47	2	no	—
671	#431	C₂×D₄₇	1	2	yes	complemented
672	#424	—	47	1	no	—
673	#424	—	47	1	no	—
674	#424	—	47	2	no	—
675	#424	—	47	2	no	—
676	#424	—	47	2	no	—
677	#424	—	47	2	no	—
678	#424	C₂×D₄₇	1	1	yes	characteristic, complemented
679	#424	C₂×D₄₇	1	1	yes	characteristic, complemented
680	#423	—	47	1	no	—
681	#423	—	47	1	no	—
682	#423	—	47	2	no	—
683	#423	—	47	2	no	—
684	C₂×C₄⋊C₈	—	47	1	no	—
685	C₂×C₄⋊C₈	—	47	1	no	—
686	C₂×C₄⋊C₈	—	47	2	no	—
687	C₂×C₄⋊C₈	—	47	2	no	—
688	#408	—	47	1	no	—
689	#408	—	47	1	no	—
690	#408	—	47	1	no	—
691	#408	—	47	1	no	—
692	#408	—	47	2	no	—
693	#408	—	47	2	no	—
694	#408	—	47	2	no	—
695	#408	—	47	2	no	—
696	#407	—	47	1	no	—
697	#407	—	47	2	no	—
698	#407	—	47	2	no	—
699	#407	C₂×D₄₇	1	1	yes	characteristic
700	C₂×C₂²⋊C₈	—	47	1	no	—
701	C₂×C₂²⋊C₈	—	47	2	no	—
702	C₂×C₂²⋊C₈	—	47	2	no	—
703	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic
704	#405	—	47	1	no	—
705	#405	—	47	1	no	—
706	#405	—	47	2	no	—
707	#405	—	47	2	no	—
708	#405	—	47	2	no	—
709	#405	—	47	2	no	—
710	#405	C₂×D₄₇	1	1	yes	characteristic, complemented
711	#405	C₂×D₄₇	1	1	yes	characteristic, complemented
712	C₄×M₁₆	—	47	1	no	—
713	C₄×M₁₆	—	47	1	no	—
714	C₄×M₁₆	—	47	2	no	—
715	C₄×M₁₆	—	47	2	no	—
716	C₂×#97	—	47	1	no	—
717	C₂×#97	—	47	2	no	—
718	C₂×C₄×C₈	—	47	1	no	—
719	C₂×C₄×C₈	—	47	2	no	—
720	C₄₇	#60129	1	1	yes	characteristic, complemented, Sylow
721	C₂×#41	—	47	2	no	—
722	C₂×#41	—	47	1	no	—
723	C₂×#41	—	47	1	no	—
724	C₂×#41	—	47	1	no	—
725	C₂×#41	—	47	2	no	—
726	C₂×#41	—	47	1	no	—
727	C₂×#41	—	94	4	no	—
728	C₂×#41	—	94	4	no	—
729	C₂²×Q₈	—	47	1	no	—
730	C₂²×D₄	—	47	2	no	—
731	C₂²×D₄	—	47	1	no	—
732	C₂³×C₄	—	47	2	no	—
733	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
734	#131	—	94	4	no	—
735	#131	—	94	4	no	—
736	#131	—	94	4	no	—
737	#131	—	94	4	no	—
738	C₂×M₁₆	—	47	1	no	—
739	C₂×M₁₆	—	47	1	no	—
740	C₂×M₁₆	—	47	2	no	—
741	C₂×M₁₆	—	47	2	no	—
742	C₂×M₁₆	—	47	2	no	—
743	C₂×M₁₆	—	47	2	no	—
744	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
745	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
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	—	47	2	no	—
752	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
753	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
754	C₄×Q₈	—	47	1	no	—
755	C₄×Q₈	—	47	1	no	—
756	C₄×Q₈	—	47	1	no	—
757	C₄×Q₈	—	47	1	no	—
758	C₄×Q₈	—	47	1	no	—
759	C₄×Q₈	—	47	1	no	—
760	C₄×Q₈	—	47	1	no	—
761	C₄×Q₈	—	47	1	no	—
762	C₄×Q₈	—	47	2	no	—
763	C₄×Q₈	—	47	2	no	—
764	C₄×Q₈	—	47	2	no	—
765	C₄×Q₈	—	47	2	no	—
766	C₄×D₄	—	47	2	no	—
767	C₄×D₄	—	47	2	no	—
768	C₄×D₄	—	47	2	no	—
769	C₄×D₄	—	47	2	no	—
770	C₄×D₄	—	47	2	no	—
771	C₄×D₄	—	47	2	no	—
772	C₄×D₄	—	47	2	no	—
773	C₄×D₄	—	47	2	no	—
774	C₄×D₄	—	47	1	no	—
775	C₄×D₄	—	47	1	no	—
776	C₄×D₄	—	47	1	no	—
777	C₄×D₄	—	47	1	no	—
778	C₄×D₄	—	47	1	no	—
779	C₄×D₄	—	47	1	no	—
780	C₄×D₄	—	47	1	no	—
781	C₄×D₄	—	47	1	no	—
782	C₄×D₄	—	47	2	no	—
783	C₄×D₄	—	47	2	no	—
784	C₄×D₄	—	47	2	no	—
785	C₄×D₄	—	47	2	no	—
786	C₄×D₄	—	47	2	no	—
787	C₄×D₄	—	47	2	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	2	no	—
793	C₄×D₄	—	47	2	no	—
794	#117	—	47	1	no	—
795	#117	—	47	1	no	—
796	#117	—	47	1	no	—
797	#117	—	47	1	no	—
798	#117	—	47	1	no	—
799	#117	—	47	1	no	—
800	#117	—	47	1	no	—
801	#117	—	47	1	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	—	47	2	no	—
809	#117	—	47	2	no	—
810	#117	—	47	2	no	—
811	#117	—	47	2	no	—
812	#117	—	47	2	no	—
813	#117	—	47	2	no	—
814	#117	C₄×D₄₇	1	1	yes	characteristic
815	#117	C₄×D₄₇	1	1	yes	characteristic
816	#117	C₄×D₄₇	1	2	yes	—
817	#117	C₂²×D₄₇	1	2	yes	—
818	#117	C₂²×D₄₇	1	1	yes	characteristic
819	#117	C₂²×D₄₇	1	1	yes	characteristic
820	C₂×C₄⋊C₄	—	47	1	no	—
821	C₂×C₄⋊C₄	—	47	1	no	—
822	C₂×C₄⋊C₄	—	47	2	no	—
823	C₂×C₄⋊C₄	—	47	2	no	—
824	C₂×C₄⋊C₄	—	47	2	no	—
825	C₂×C₄⋊C₄	—	47	2	no	—
826	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	—	47	1	no	—
829	C₂×C₂²⋊C₄	—	47	1	no	—
830	C₂×C₂²⋊C₄	—	47	2	no	—
831	C₂×C₂²⋊C₄	—	47	2	no	—
832	C₂×C₂²⋊C₄	—	47	2	no	—
833	C₂×C₂²⋊C₄	—	47	2	no	—
834	C₂×C₂²⋊C₄	C₄×D₄₇	1	2	yes	—
835	C₂×C₄²	—	47	1	no	—
836	C₂×C₄²	—	47	1	no	—
837	C₂×C₄²	—	47	2	no	—
838	C₂×C₄²	—	47	2	no	—
839	C₂×C₄²	—	47	2	no	—
840	C₂×C₄²	—	47	2	no	—
841	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
842	C₄⋊C₈	—	47	1	no	—
843	C₄⋊C₈	—	47	1	no	—
844	C₄⋊C₈	—	47	1	no	—
845	C₄⋊C₈	—	47	2	no	—
846	C₄⋊C₈	—	47	2	no	—
847	C₄⋊C₈	—	47	1	no	—
848	C₄⋊C₈	—	47	1	no	—
849	C₄⋊C₈	—	47	1	no	—
850	C₄⋊C₈	—	47	1	no	—
851	C₄⋊C₈	—	47	1	no	—
852	C₄⋊C₈	—	47	2	no	—
853	C₄⋊C₈	—	47	2	no	—
854	C₄⋊C₈	—	47	2	no	—
855	C₄⋊C₈	—	47	2	no	—
856	C₄⋊C₈	—	47	2	no	—
857	C₄⋊C₈	—	47	2	no	—
858	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
859	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
860	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
861	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
862	C₂²⋊C₈	—	47	1	no	—
863	C₂²⋊C₈	—	47	2	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	—	47	2	no	—
872	C₂²⋊C₈	—	47	2	no	—
873	C₂²⋊C₈	—	47	2	no	—
874	C₂²⋊C₈	—	47	2	no	—
875	C₂²⋊C₈	—	47	2	no	—
876	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
877	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
878	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
879	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
880	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
881	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
882	#97	—	47	1	no	—
883	#97	—	47	2	no	—
884	#97	—	47	1	no	—
885	#97	—	47	1	no	—
886	#97	—	47	1	no	—
887	#97	—	47	2	no	—
888	#97	—	47	2	no	—
889	#97	—	47	2	no	—
890	#97	C₂²×D₄₇	1	2	yes	—
891	#97	C₂²×D₄₇	1	2	yes	—
892	C₄×C₈	—	47	1	no	—
893	C₄×C₈	—	47	1	no	—
894	C₄×C₈	—	47	2	no	—
895	C₄×C₈	—	47	1	no	—
896	C₄×C₈	—	47	1	no	—
897	C₄×C₈	—	47	2	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	C₂⁴	—	47	2	no	—
903	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
904	#41	—	47	4	no	—
905	#41	—	47	4	no	—
906	#41	—	94	4	no	—
907	#41	—	94	4	no	—
908	#41	—	94	8	no	—
909	#41	—	94	4	no	—
910	#41	—	94	4	no	—
911	#41	—	94	2	no	—
912	#41	—	94	2	no	—
913	C₂×Q₈	—	47	1	no	—
914	C₂×Q₈	—	47	2	no	—
915	C₂×Q₈	—	47	1	no	—
916	C₂×Q₈	—	94	4	no	—
917	C₂×D₄	—	47	2	no	—
918	C₂×D₄	—	47	2	no	—
919	C₂×D₄	—	47	2	no	—
920	C₂×D₄	—	47	2	no	—
921	C₂×D₄	—	47	1	no	—
922	C₂×D₄	—	47	2	no	—
923	C₂×D₄	—	47	1	no	—
924	C₂×D₄	—	94	4	no	—
925	C₂×D₄	—	94	8	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	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	1	no	—
934	C₂²×C₄	—	47	2	no	—
935	C₂²×C₄	—	47	2	no	—
936	C₂²×C₄	—	47	2	no	—
937	C₂²×C₄	—	47	2	no	—
938	C₂²×C₄	—	47	2	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	—	47	2	no	—
944	C₂²×C₄	—	47	2	no	—
945	C₂²×C₄	—	94	4	no	—
946	C₂²×C₄	—	94	4	no	—
947	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
948	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
949	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
950	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
951	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
952	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
953	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
954	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
955	M₁₆	—	2	2	no	—
956	M₁₆	—	2	2	no	—
957	M₁₆	—	94	4	no	—
958	M₁₆	—	94	4	no	—
959	M₁₆	—	94	4	no	—
960	M₁₆	—	94	4	no	—
961	M₁₆	—	94	2	no	—
962	M₁₆	—	94	2	no	—
963	C₂×C₈	—	2	2	no	—
964	C₂×C₈	—	2	2	no	—
965	C₂×C₈	—	47	1	no	—
966	C₂×C₈	—	47	1	no	—
967	C₂×C₈	—	47	2	no	—
968	C₂×C₈	—	47	2	no	—
969	C₂×C₈	—	47	1	no	—
970	C₂×C₈	—	47	1	no	—
971	C₂×C₈	—	94	4	no	—
972	C₂×C₈	—	94	4	no	—
973	C₂×C₈	—	94	4	no	—
974	C₂×C₈	—	94	4	no	—
975	C₂×C₈	—	94	2	no	—
976	C₂×C₈	—	94	2	no	—
977	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
978	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
979	C₂×C₈	C₂³×D₄₇	1	2	yes	—
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	2	no	—
984	C₄⋊C₄	—	47	2	no	—
985	C₄⋊C₄	—	47	2	no	—
986	C₄⋊C₄	—	47	2	no	—
987	C₄⋊C₄	—	47	2	no	—
988	C₄⋊C₄	—	47	2	no	—
989	C₄⋊C₄	—	47	2	no	—
990	C₄⋊C₄	—	47	2	no	—
991	C₄⋊C₄	—	47	1	no	—
992	C₄⋊C₄	—	47	1	no	—
993	C₄⋊C₄	—	47	1	no	—
994	C₄⋊C₄	—	47	1	no	—
995	C₄⋊C₄	—	47	1	no	—
996	C₄⋊C₄	—	47	1	no	—
997	C₄⋊C₄	—	47	1	no	—
998	C₄⋊C₄	—	47	1	no	—
999	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1000	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1001	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1002	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1003	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1005	C₂²⋊C₄	—	47	1	no	—
1006	C₂²⋊C₄	—	47	1	no	—
1007	C₂²⋊C₄	—	47	1	no	—
1008	C₂²⋊C₄	—	47	1	no	—
1009	C₂²⋊C₄	—	47	1	no	—
1010	C₂²⋊C₄	—	47	1	no	—
1011	C₂²⋊C₄	—	47	1	no	—
1012	C₂²⋊C₄	—	47	1	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	C₄²	—	47	2	no	—
1026	C₄²	—	47	2	no	—
1027	C₄²	—	47	2	no	—
1028	C₄²	—	47	2	no	—
1029	C₄²	—	47	1	no	—
1030	C₄²	—	47	1	no	—
1031	C₄²	—	47	1	no	—
1032	C₄²	—	47	1	no	—
1033	C₄²	—	47	2	no	—
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	1	no	—
1040	C₄²	—	47	1	no	—
1041	C₄²	C₂×C₄×D₄₇	1	2	yes	—
1042	C₄²	C₂×C₄×D₄₇	1	2	yes	—
1043	C₄²	C₂³×D₄₇	1	2	yes	—
1044	C₄²	C₂³×D₄₇	1	2	yes	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	4	1	no	—
1047	C₂³	—	4	1	no	—
1048	C₂³	—	47	2	no	—
1049	C₂³	—	47	2	no	—
1050	C₂³	—	94	4	no	—
1051	C₂³	—	188	2	no	—
1052	C₂³	—	188	2	no	—
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	—	47	4	no	—
1057	Q₈	—	94	4	no	—
1058	Q₈	—	94	2	no	—
1059	D₄	—	47	8	no	—
1060	D₄	—	47	4	no	—
1061	D₄	—	94	4	no	—
1062	D₄	—	94	4	no	—
1063	D₄	—	94	4	no	—
1064	D₄	—	94	4	no	—
1065	D₄	—	94	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	47	2	no	—
1076	C₂×C₄	—	47	4	no	—
1077	C₂×C₄	—	47	4	no	—
1078	C₂×C₄	—	47	1	no	—
1079	C₂×C₄	—	47	1	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	2	no	—
1087	C₂×C₄	—	94	4	no	—
1088	C₂×C₄	—	94	4	no	—
1089	C₂×C₄	—	94	4	no	—
1090	C₂×C₄	—	94	2	no	—
1091	C₂×C₄	—	94	2	no	—
1092	C₂×C₄	—	188	2	no	—
1093	C₂×C₄	—	188	2	no	—
1094	C₂×C₄	—	188	2	no	—
1095	C₂×C₄	—	188	2	no	—
1096	C₂×C₄	—	188	2	no	—
1097	C₂×C₄	—	188	2	no	—
1098	C₂×C₄	—	188	2	no	—
1099	C₂×C₄	—	188	2	no	—
1100	C₂×C₄	—	188	1	no	—
1101	C₂×C₄	—	188	1	no	—
1102	C₂×C₄	—	188	1	no	—
1103	C₂×C₄	—	188	1	no	—
1104	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
1111	C₂×C₄	#41×D₄₇	1	2	yes	—
1112	C₂×C₄	#41×D₄₇	1	2	yes	—
1113	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1114	C₈	—	2	1	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	2	no	—
1119	C₈	—	2	2	no	—
1120	C₈	—	94	1	no	—
1121	C₈	—	94	1	no	—
1122	C₈	—	94	2	no	—
1123	C₈	—	94	2	no	—
1124	C₈	—	94	1	no	—
1125	C₈	—	94	1	no	—
1126	C₂²	—	2	1	no	—
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	—	8	2	no	—
1135	C₂²	—	47	4	no	—
1136	C₂²	—	94	2	no	—
1137	C₂²	—	94	2	no	—
1138	C₂²	—	94	2	no	—
1139	C₂²	—	94	2	no	—
1140	C₂²	—	94	2	no	—
1141	C₂²	—	376	4	no	—
1142	C₂²	#117×D₄₇	1	2	yes	—
1143	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1144	C₄	—	2	1	no	—
1145	C₄	—	2	1	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	47	4	no	—
1151	C₄	—	94	2	no	—
1152	C₄	—	94	1	no	—
1153	C₄	—	94	1	no	—
1154	C₄	—	94	1	no	—
1155	C₄	—	94	1	no	—
1156	C₄	—	94	1	no	—
1157	C₄	—	94	1	no	—
1158	C₄	—	94	1	no	—
1159	C₄	—	94	1	no	—
1160	C₄	#117×D₄₇	1	2	yes	—
1161	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1162	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1163	C₂	—	2	2	no	—
1164	C₂	—	4	1	no	—
1165	C₂	—	4	1	no	—
1166	C₂	—	94	4	no	—
1167	C₂	—	188	2	no	—
1168	C₂	C₂×#117×D₄₇	1	1	yes	characteristic
1169	C₂	#20258099	1	1	yes	characteristic
1170	C₂	#20258101	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2924	C₂
prime radical	C₂²×#10625350	C₂²
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2924	D₄₇
hypocenter	C₄₇	#60129
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2924

Complements

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

N	H ≅ G/N	type
2. #20252055	C₂	semidirect
3. #20252052	C₂	semidirect
4. #20252052	C₂	semidirect
5. #20252049	C₂	semidirect
6. #20252046	C₂	semidirect
7. #20252044	C₂	semidirect
8. #20252044	C₂	semidirect
9. #20252038	C₂	semidirect
10. #20252034	C₂	semidirect
11. #20252031	C₂	semidirect
12. #20252027	C₂	semidirect
13. #20252023	C₂	semidirect
14. #20252022	C₂	semidirect
15. C₂×#15689181	C₂	semidirect
16. #433×D₄₇	C₂	semidirect
17. #20251955	C₂	semidirect
18. #20251955	C₂	semidirect
21. #20251815	C₂	semidirect
22. #20251810	C₂	semidirect
23. C₄₇×#2924	C₂	semidirect
50. #15689185	C₂²	semidirect
51. #15689185	C₂²	semidirect
54. #15689183	C₂²	semidirect
55. #15689183	C₂²	semidirect
56. #15689183	C₂²	semidirect
57. #15689183	C₂²	semidirect
58. #15689182	C₂²	semidirect
59. #15689182	C₂²	semidirect
66. #15689181	C₂²	semidirect
67. #15689181	C₂²	semidirect
68. #15689181	C₂²	semidirect
69. #15689181	C₂²	semidirect
70. #15689181	C₂²	semidirect
71. #15689181	C₂²	semidirect
72. #15689180	C₂²	semidirect
73. #15689179	C₂²	semidirect
74. #15689179	C₂²	semidirect
75. #15689178	C₂²	semidirect
76. #15689178	C₂²	semidirect
77. #15689176	C₂²	semidirect
78. #15689175	C₂²	semidirect
79. #15689175	C₂²	semidirect
80. #15689174	C₂²	semidirect
81. #15689174	C₂²	semidirect
82. #15689150	C₂²	semidirect
83. #15689150	C₂²	semidirect
84. #15689148	C₂²	semidirect
85. #15689148	C₂²	semidirect
86. #15689148	C₂²	semidirect
87. #15689148	C₂²	semidirect
88. #15689146	C₂²	semidirect
89. #15689146	C₂²	semidirect
90. #15689145	C₂²	semidirect
91. #15689145	C₂²	semidirect
92. C₂×Dic₄₇⋊C₈	C₂²	semidirect
93. C₂×Dic₄₇⋊C₈	C₂²	semidirect
94. C₄⋊C₈×D₄₇	C₂²	semidirect
95. C₄⋊C₈×D₄₇	C₂²	semidirect
110. #15689080	C₂²	semidirect
111. #15689080	C₂²	semidirect
112. #15689079	C₂²	semidirect
113. #15689079	C₂²	semidirect
114. #15689077	C₂²	semidirect
115. #15689077	C₂²	semidirect
116. #15689075	C₂²	semidirect
117. M₁₆×Dic₄₇	C₂²	semidirect
118. M₁₆×Dic₄₇	C₂²	semidirect
119. C₄×#10625324	C₂²	semidirect
120. C₂×#13093934	C₂²	semidirect
121. #97×D₄₇	C₂²	semidirect
122. C₂×C₈×Dic₄₇	C₂²	semidirect
123. C₄×C₈×D₄₇	C₂²	semidirect
127. C₄₇×#432	C₂²	semidirect
128. C₄₇×#431	C₂²	semidirect
129. C₄₇×#424	C₂²	semidirect
130. C₄₇×#424	C₂²	semidirect
133. C₄₇×#405	C₂²	semidirect
134. C₄₇×#405	C₂²	semidirect
586. #2924	D₄₇	semidirect
665. #432	C₂×D₄₇	semidirect
671. #431	C₂×D₄₇	semidirect
678. #424	C₂×D₄₇	semidirect
679. #424	C₂×D₄₇	semidirect
710. #405	C₂×D₄₇	semidirect
711. #405	C₂×D₄₇	semidirect
720. C₄₇	#60129	semidirect

Maximal subgroups

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

subgroup	index
#20256589	2
#20252055	2
#20252052	2
#20252049	2
#20252046	2
#20252044	2
#20252038	2
#20252034	2
#20252031	2
#20252027	2
#20252023	2
#20252022	2
C₂×#15689181	2
#433×D₄₇	2
#20251955	2
#20251838	2
#20251834	2
#20251815	2
#20251810	2
C₄₇×#2924	2
#60129	47