Subgroups — #27080068

Order 12032.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256587	C₂	1	1	yes	maximal, characteristic
2	#20252056	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252054	C₂	1	1	yes	maximal, characteristic, complemented
4	#20252053	C₂	1	1	yes	maximal, characteristic, complemented
5	#20252052	C₂	1	1	yes	maximal, characteristic, complemented
6	#20252052	C₂	1	1	yes	maximal, characteristic, complemented
7	#20252050	C₂	1	1	yes	maximal, characteristic, complemented
8	#20252050	C₂	1	1	yes	maximal, characteristic, complemented
9	#20252047	C₂	1	2	yes	maximal, complemented
10	#20252044	C₂	1	2	yes	maximal, complemented
11	#20252044	C₂	1	2	yes	maximal, complemented
12	#20252041	C₂	1	2	yes	maximal, complemented
13	#20252036	C₂	1	2	yes	maximal, complemented
14	#20252034	C₂	1	2	yes	maximal, complemented
15	#20252029	C₂	1	2	yes	maximal, complemented
16	#20252027	C₂	1	2	yes	maximal, complemented
17	#20251950	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689148	C₂	1	1	yes	maximal, characteristic, complemented
19	#20251830	C₂	1	1	yes	maximal, characteristic
20	#408×D₄₇	C₂	1	1	yes	maximal, characteristic
21	#20251804	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₇	C₂²	1	1	yes	characteristic
25	C₂²×#10625324	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₄₇	C₂²	1	1	yes	characteristic
27	C₂×M₁₆×D₄₇	C₂²	1	1	yes	characteristic
28	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
29	#15689605	C₄	1	1	yes	characteristic
30	#15689605	C₄	1	1	yes	characteristic
31	#15689602	C₄	1	2	yes	—
32	#15689602	C₄	1	2	yes	—
33	#15689602	C₄	1	1	yes	characteristic
34	#15689602	C₄	1	1	yes	characteristic
35	#15689599	C₄	1	1	yes	characteristic
36	#15689599	C₄	1	1	yes	characteristic
37	#15689595	C₄	1	1	yes	characteristic
38	#15689595	C₄	1	1	yes	characteristic
39	#15689595	C₄	1	2	yes	—
40	#15689595	C₄	1	2	yes	—
41	#41×Dic₄₇	C₂²	1	1	yes	characteristic
42	C₄×#10625350	C₂²	1	2	yes	—
43	C₄×#10625350	C₂²	1	1	yes	characteristic
44	#15689591	C₂²	1	2	yes	—
45	#15689591	C₂²	1	1	yes	characteristic
46	C₂×#13093981	C₂²	1	1	yes	characteristic
47	C₂×#13093981	C₂²	1	2	yes	—
48	#117×D₄₇	C₂²	1	2	yes	—
49	#117×D₄₇	C₂²	1	1	yes	characteristic
50	#15689185	C₂²	1	2	yes	complemented
51	#15689185	C₂²	1	2	yes	complemented
52	#15689184	C₂²	1	2	yes	complemented
53	#15689184	C₂²	1	2	yes	complemented
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	2	yes	complemented
61	#15689181	C₂²	1	2	yes	complemented
62	#15689181	C₂²	1	2	yes	complemented
63	#15689181	C₂²	1	2	yes	complemented
64	#15689180	C₂²	1	2	yes	complemented
65	#15689179	C₂²	1	2	yes	complemented
66	#15689179	C₂²	1	2	yes	complemented
67	#15689178	C₂²	1	2	yes	complemented
68	#15689178	C₂²	1	2	yes	complemented
69	#15689177	C₂²	1	2	yes	complemented
70	#15689177	C₂²	1	2	yes	complemented
71	#15689176	C₂²	1	2	yes	complemented
72	#15689175	C₂²	1	2	yes	complemented
73	#15689175	C₂²	1	2	yes	complemented
74	#15689174	C₂²	1	2	yes	complemented
75	#15689174	C₂²	1	2	yes	complemented
76	#15689173	C₂²	1	2	yes	complemented
77	#15689173	C₂²	1	2	yes	complemented
78	#15689148	C₂²	1	1	yes	characteristic
79	#15689148	C₂²	1	1	yes	characteristic
80	#15689148	C₂²	1	1	yes	characteristic
81	#15689148	C₂²	1	1	yes	characteristic
82	#15689148	C₂²	1	2	yes	—
83	#15689148	C₂²	1	2	yes	—
84	#15689148	C₂²	1	1	yes	characteristic, complemented
85	#15689148	C₂²	1	1	yes	characteristic, complemented
86	#15689148	C₂²	1	1	yes	characteristic, complemented
87	#15689148	C₂²	1	1	yes	characteristic, complemented
88	#15689148	C₂²	1	2	yes	complemented
89	#15689148	C₂²	1	2	yes	complemented
90	#15689147	C₂²	1	1	yes	characteristic, complemented
91	#15689146	C₂²	1	1	yes	characteristic, complemented
92	#15689146	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
94	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
95	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#15689091	C₂²	1	1	yes	characteristic
97	#15689091	C₂²	1	1	yes	characteristic
98	#15689090	C₂²	1	1	yes	characteristic
99	#15689090	C₂²	1	1	yes	characteristic
100	#15689089	C₂²	1	1	yes	characteristic
101	#15689089	C₂²	1	1	yes	characteristic
102	#15689088	C₂²	1	2	yes	—
103	#15689088	C₂²	1	2	yes	—
104	#15689088	C₂²	1	2	yes	—
105	#15689088	C₂²	1	2	yes	—
106	#15689085	C₂²	1	2	yes	—
107	#15689085	C₂²	1	2	yes	—
108	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	—
109	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	—
110	#15689081	C₂²	1	1	yes	characteristic, complemented
111	#15689081	C₂²	1	1	yes	characteristic, complemented
112	#15689080	C₂²	1	2	yes	—
113	#15689080	C₂²	1	2	yes	—
114	#15689079	C₂²	1	1	yes	characteristic, complemented
115	#15689079	C₂²	1	1	yes	characteristic, complemented
116	#15689078	C₂²	1	1	yes	characteristic, complemented
117	#15689078	C₂²	1	1	yes	characteristic, complemented
118	#15689077	C₂²	1	2	yes	—
119	#15689077	C₂²	1	2	yes	—
120	#15689075	C₂²	1	2	yes	complemented
121	C₄×#10625324	C₂²	1	2	yes	complemented
122	#97×D₄₇	C₂²	1	2	yes	complemented
123	C₄×C₈×D₄₇	C₂²	1	2	yes	complemented
124	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
125	C₄₇×#433	C₂²	1	2	yes	complemented
126	C₄₇×#433	C₂²	1	2	yes	complemented
127	C₄₇×#432	C₂²	1	2	yes	complemented
128	C₄₇×#431	C₂²	1	2	yes	complemented
129	C₄₇×#423	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#408	C₂²	1	1	yes	characteristic
132	C₄₇×#408	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×#10625354	C₂×C₄	1	1	yes	characteristic
136	C₂×#10625350	C₂³	1	2	yes	—
137	C₂×#10625350	C₂³	1	1	yes	characteristic
138	C₂×#10625352	C₂×C₄	1	2	yes	—
139	C₂×#10625352	C₂×C₄	1	1	yes	characteristic
140	#41×D₄₇	—	2	4	no	—
141	#41×D₄₇	—	2	4	no	—
142	C₂×Q₈×D₄₇	C₂×C₄	1	1	yes	characteristic
143	C₂×D₄×D₄₇	C₂×C₄	1	2	yes	—
144	C₂×D₄×D₄₇	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
147	C₂×#10625329	C₂³	1	1	yes	characteristic
148	C₂×#10625329	C₂³	1	1	yes	characteristic
149	C₂×#10625324	—	2	4	no	—
150	C₂×#10625324	C₂³	1	1	yes	characteristic
151	C₂×#10625324	C₂³	1	2	yes	—
152	C₂×#10625324	C₂³	1	1	yes	characteristic
153	C₂×#10625324	C₂³	1	1	yes	characteristic
154	C₂×#10625324	C₂³	1	2	yes	—
155	C₂×#10625324	C₂³	1	1	yes	characteristic
156	M₁₆×D₄₇	—	2	4	no	—
157	M₁₆×D₄₇	—	2	4	no	—
158	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
159	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
160	C₂×C₈×D₄₇	—	2	4	no	—
161	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
162	C₂×C₈×D₄₇	C₂³	1	2	yes	—
163	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
164	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
165	C₂×C₈×D₄₇	C₂³	1	2	yes	—
166	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
167	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
168	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
169	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
170	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
171	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
172	C₄×Dic₉₄	C₂×C₄	1	1	yes	characteristic
173	#13093989	C₂×C₄	1	2	yes	—
174	#13093989	C₂×C₄	1	2	yes	—
175	#13093989	C₂×C₄	1	1	yes	characteristic
176	#13093989	C₂×C₄	1	1	yes	characteristic
177	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
178	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
179	C₄×D₁₈₈	C₂×C₄	1	1	yes	characteristic
180	C₄×D₁₈₈	C₂×C₄	1	1	yes	characteristic
181	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
182	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
183	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
184	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
185	#13093986	C₂×C₄	1	2	yes	—
186	#13093986	C₂×C₄	1	2	yes	—
187	#13093986	C₂×C₄	1	1	yes	characteristic
188	#13093986	C₂×C₄	1	1	yes	characteristic
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	#13093983	C₂³	1	1	yes	characteristic
202	#13093983	C₂³	1	2	yes	—
203	#13093982	C₂×C₄	1	2	yes	—
204	#13093982	C₂×C₄	1	2	yes	—
205	#13093982	C₂×C₄	1	1	yes	characteristic
206	#13093982	C₂×C₄	1	1	yes	characteristic
207	#13093981	C₂×C₄	1	2	yes	—
208	#13093981	C₂×C₄	1	2	yes	—
209	#13093981	C₂×C₄	1	1	yes	characteristic
210	#13093981	C₂×C₄	1	1	yes	characteristic
211	#13093981	C₂×C₄	1	2	yes	—
212	#13093981	C₂×C₄	1	2	yes	—
213	#13093981	C₂×C₄	1	1	yes	characteristic
214	#13093981	C₂×C₄	1	1	yes	characteristic
215	#13093981	C₂³	1	2	yes	—
216	#13093981	C₂³	1	1	yes	characteristic
217	#13093981	C₂³	1	1	yes	characteristic
218	#13093981	C₂³	1	1	yes	characteristic
219	#13093981	C₂³	1	2	yes	—
220	#13093981	C₂³	1	1	yes	characteristic
221	#13093981	C₂³	1	2	yes	—
222	#13093980	C₂×C₄	1	2	yes	—
223	#13093980	C₂×C₄	1	2	yes	—
224	#13093980	C₂×C₄	1	2	yes	—
225	C₂×Dic₄₇⋊C₄	C₂×C₄	1	2	yes	—
226	C₂×Dic₄₇⋊C₄	C₂×C₄	1	2	yes	—
227	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
229	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
230	C₄⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
231	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
232	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
233	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
234	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
235	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
236	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
237	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
238	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
239	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
240	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
242	C₄²×D₄₇	C₂³	1	2	yes	—
243	C₄²×D₄₇	C₂³	1	2	yes	—
244	C₄²×D₄₇	C₂³	1	2	yes	—
245	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
246	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
247	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
248	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
250	C₄⋊(C₄₇⋊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	1	yes	characteristic
254	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
255	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
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	2	yes	—
260	Dic₄₇⋊C₈	C₂³	1	2	yes	—
261	Dic₄₇⋊C₈	C₂³	1	2	yes	—
262	Dic₄₇⋊C₈	C₂³	1	2	yes	—
263	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
264	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
265	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
266	C₂²⋊(C₄₇⋊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	(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	#13093935	C₂³	1	2	yes	—
277	#13093934	C₂³	1	2	yes	—
278	#13093934	C₂³	1	2	yes	—
279	#13093934	C₂³	1	2	yes	—
280	#13093934	C₂³	1	2	yes	—
281	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
282	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	2	yes	—
284	C₈×Dic₄₇	C₂³	1	2	yes	—
285	C₈×Dic₄₇	C₂³	1	2	yes	—
286	C₈×Dic₄₇	C₂³	1	2	yes	—
287	C₂×#41×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	C₄×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
293	C₄×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
294	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
295	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
296	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
297	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
298	#117×C₄₇	C₂³	1	1	yes	characteristic
299	#117×C₄₇	C₂³	1	2	yes	—
300	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
302	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
303	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
304	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
307	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
309	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
310	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
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	C₂³×D₄₇	C₂²×C₄	1	2	yes	—
317	C₂³×D₄₇	C₂²×C₄	1	1	yes	characteristic
318	#41×C₄₇	—	2	2	no	—
319	#41×C₄₇	—	2	2	no	—
320	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
321	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
322	C₂×D₄×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	C₂²×C₄	1	1	yes	characteristic
326	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
327	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
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	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
333	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
334	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
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	#10625354	—	2	4	no	—
339	Q₈×D₄₇	—	2	4	no	—
340	#10625352	—	2	8	no	—
341	#10625352	—	2	4	no	—
342	D₄×D₄₇	—	2	8	no	—
343	D₄×D₄₇	—	2	4	no	—
344	#10625350	—	2	2	no	—
345	#10625350	—	2	2	no	—
346	#10625350	—	2	4	no	—
347	#10625350	—	2	4	no	—
348	C₂×D₁₈₈	C₂²×C₄	1	2	yes	—
349	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
350	C₂×C₄×D₄₇	—	2	4	no	—
351	C₂×C₄×D₄₇	—	2	4	no	—
352	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
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	1	yes	characteristic
361	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
362	C₂×C₄×D₄₇	#41	1	4	yes	—
363	C₂×C₄×D₄₇	#41	1	4	yes	—
364	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
365	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
366	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
367	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
368	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
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	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
384	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
385	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
386	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
387	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
388	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
389	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
390	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₄²×C₄₇	C₂⁴	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	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
397	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
398	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
400	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
401	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
402	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
403	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
404	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
405	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
409	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
410	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
411	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
412	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
413	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
414	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
415	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
416	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
417	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
418	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
421	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
422	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
423	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
424	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
425	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
426	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
427	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
434	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
435	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
436	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
437	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
438	C₄×Dic₄₇	C₂⁴	1	2	yes	—
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	2	no	—
454	#10625324	—	2	2	no	—
455	#10625324	—	2	2	no	—
456	#10625324	—	2	2	no	—
457	C₈×D₄₇	—	2	2	no	—
458	C₈×D₄₇	—	2	2	no	—
459	C₈×D₄₇	—	2	2	no	—
460	C₈×D₄₇	—	2	2	no	—
461	C₈×D₄₇	—	2	4	no	—
462	C₈×D₄₇	—	2	4	no	—
463	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
464	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
465	C₂²×D₄₇	—	2	4	no	—
466	C₂²×D₄₇	—	4	1	no	—
467	C₂²×D₄₇	—	4	1	no	—
468	C₂²×D₄₇	—	4	2	no	—
469	C₂²×D₄₇	—	4	2	no	—
470	C₂²×D₄₇	#117	1	4	yes	—
471	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
472	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
473	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
474	Q₈×C₄₇	—	2	2	no	—
475	D₄×C₄₇	—	2	4	no	—
476	D₄×C₄₇	—	2	2	no	—
477	C₂×C₄×C₄₇	—	2	2	no	—
478	C₂×C₄×C₄₇	—	2	2	no	—
479	C₂×C₄×C₄₇	—	4	1	no	—
480	C₂×C₄×C₄₇	—	4	1	no	—
481	C₂×C₄×C₄₇	—	4	2	no	—
482	C₂×C₄×C₄₇	—	4	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	C₂³×C₄	1	1	yes	characteristic
490	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
491	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
492	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
493	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
494	C₂²⋊D₄₇	—	2	4	no	—
495	C₂²⋊D₄₇	—	2	4	no	—
496	C₂²⋊D₄₇	—	2	4	no	—
497	C₂×Dic₄₇	—	2	4	no	—
498	C₂×Dic₄₇	—	4	1	no	—
499	C₂×Dic₄₇	—	4	1	no	—
500	C₂×Dic₄₇	—	4	2	no	—
501	C₂×Dic₄₇	—	4	2	no	—
502	C₂×Dic₄₇	#117	1	4	yes	—
503	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
504	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
505	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
506	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
507	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
508	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
509	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
510	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
511	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
512	D₁₈₈	—	2	4	no	—
513	D₁₈₈	—	2	2	no	—
514	C₄×D₄₇	—	2	4	no	—
515	C₄×D₄₇	—	2	2	no	—
516	C₄×D₄₇	—	2	2	no	—
517	C₄×D₄₇	—	2	4	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	—	4	2	no	—
524	C₄×D₄₇	#117	1	4	yes	—
525	C₄×D₄₇	#117	1	4	yes	—
526	C₄×D₄₇	C₂×#41	1	2	yes	—
527	C₄×D₄₇	C₂×#41	1	2	yes	—
528	C₄×D₄₇	C₂×#41	1	2	yes	—
529	C₄×D₄₇	C₂×#41	1	2	yes	—
530	Dic₉₄	—	2	2	no	—
531	Dic₉₄	—	2	4	no	—
532	C₈×C₄₇	—	2	1	no	—
533	C₈×C₄₇	—	2	1	no	—
534	C₈×C₄₇	—	2	2	no	—
535	C₈×C₄₇	—	2	2	no	—
536	C₈×C₄₇	—	2	1	no	—
537	C₈×C₄₇	—	2	1	no	—
538	C₄₇⋊C₈	—	2	1	no	—
539	C₄₇⋊C₈	—	2	1	no	—
540	C₄₇⋊C₈	—	2	2	no	—
541	C₄₇⋊C₈	—	2	2	no	—
542	C₄₇⋊C₈	—	2	1	no	—
543	C₄₇⋊C₈	—	2	1	no	—
544	#60126	—	47	1	no	maximal, Sylow
545	C₂²×C₄₇	—	2	1	no	—
546	C₂²×C₄₇	—	2	1	no	—
547	C₂²×C₄₇	—	2	2	no	—
548	C₂²×C₄₇	—	2	2	no	—
549	C₂²×C₄₇	—	2	2	no	—
550	C₂²×C₄₇	C₂×#117	1	2	yes	—
551	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
552	C₂×D₄₇	—	2	1	no	—
553	C₂×D₄₇	—	2	1	no	—
554	C₂×D₄₇	—	2	1	no	—
555	C₂×D₄₇	—	2	1	no	—
556	C₂×D₄₇	—	2	2	no	—
557	C₂×D₄₇	—	2	2	no	—
558	C₂×D₄₇	—	2	2	no	—
559	C₂×D₄₇	—	4	4	no	—
560	C₂×D₄₇	—	8	4	no	—
561	C₂×D₄₇	C₂×#117	1	2	yes	—
562	C₂×D₄₇	C₂×#117	1	2	yes	—
563	C₄×C₄₇	—	2	2	no	—
564	C₄×C₄₇	—	2	2	no	—
565	C₄×C₄₇	—	2	1	no	—
566	C₄×C₄₇	—	2	2	no	—
567	C₄×C₄₇	—	2	1	no	—
568	C₄×C₄₇	—	2	1	no	—
569	C₄×C₄₇	—	2	1	no	—
570	C₄×C₄₇	C₂×#117	1	2	yes	—
571	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
572	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
573	Dic₄₇	—	2	2	no	—
574	Dic₄₇	—	2	2	no	—
575	Dic₄₇	—	2	1	no	—
576	Dic₄₇	—	2	2	no	—
577	Dic₄₇	—	2	1	no	—
578	Dic₄₇	—	2	1	no	—
579	Dic₄₇	—	2	1	no	—
580	Dic₄₇	C₂×#117	1	2	yes	—
581	Dic₄₇	C₂×#117	1	2	yes	—
582	#3428	—	47	1	no	—
583	#2925	—	47	1	no	—
584	#2925	—	47	1	no	—
585	#2925	—	47	1	no	—
586	#2925	—	47	1	no	—
587	#2925	—	47	1	no	—
588	#2925	—	47	1	no	—
589	#2925	—	47	1	no	—
590	#2925	D₄₇	1	1	yes	characteristic, complemented
591	#2924	—	47	2	no	—
592	#2924	—	47	2	no	—
593	#2924	—	47	2	no	—
594	#2924	—	47	2	no	—
595	#2923	—	47	2	no	—
596	#2923	—	47	2	no	—
597	#2922	—	47	2	no	—
598	#2922	—	47	2	no	—
599	#2905	—	47	1	no	—
600	C₂×#424	—	47	1	no	—
601	#2879	—	47	1	no	—
602	C₂×#408	—	47	1	no	—
603	#2873	—	47	1	no	—
604	C₂×#405	—	47	1	no	—
605	C₂×C₄₇	—	2	2	no	—
606	C₂×C₄₇	—	4	2	no	—
607	C₂×C₄₇	C₂²×#117	1	1	yes	characteristic
608	C₂×C₄₇	#3573	1	1	yes	characteristic
609	C₂×C₄₇	#3573	1	1	yes	characteristic
610	D₄₇	—	2	2	no	—
611	D₄₇	—	2	2	no	—
612	D₄₇	—	4	2	no	—
613	C₂²×#41	—	47	1	no	—
614	C₂²×M₁₆	—	47	1	no	—
615	C₂²×M₁₆	—	47	1	no	—
616	C₂²×M₁₆	—	47	1	no	—
617	C₂³×C₈	—	47	1	no	—
618	#520	—	47	1	no	—
619	#520	—	47	1	no	—
620	#520	—	47	2	no	—
621	#520	—	47	2	no	—
622	#520	—	47	1	no	—
623	#520	—	47	1	no	—
624	#519	—	47	1	no	—
625	#519	—	47	1	no	—
626	#518	—	47	2	no	—
627	#518	—	47	2	no	—
628	#518	—	47	1	no	—
629	#518	—	47	1	no	—
630	C₄×#41	—	47	1	no	—
631	C₄×#41	—	47	2	no	—
632	C₄×#41	—	47	1	no	—
633	C₄×#41	—	47	2	no	—
634	C₄×#41	—	47	1	no	—
635	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
636	C₂×#117	—	47	1	no	—
637	C₂×#117	—	47	2	no	—
638	C₂×#117	—	47	1	no	—
639	C₂×#117	—	47	2	no	—
640	#433	—	47	2	no	—
641	#433	—	47	2	no	—
642	#433	—	47	2	no	—
643	#433	—	47	2	no	—
644	#433	—	47	2	no	—
645	#433	—	47	2	no	—
646	#433	—	47	2	no	—
647	#433	—	47	2	no	—
648	#433	—	47	2	no	—
649	#433	—	47	2	no	—
650	#433	—	47	2	no	—
651	#433	—	47	2	no	—
652	#433	—	47	2	no	—
653	#433	—	47	2	no	—
654	#433	C₂×D₄₇	1	2	yes	complemented
655	#433	C₂×D₄₇	1	2	yes	complemented
656	#432	—	47	2	no	—
657	#432	—	47	2	no	—
658	#432	—	47	2	no	—
659	#432	—	47	2	no	—
660	#432	—	47	2	no	—
661	#432	—	47	2	no	—
662	#432	—	47	2	no	—
663	#432	C₂×D₄₇	1	2	yes	complemented
664	#431	—	47	2	no	—
665	#431	—	47	2	no	—
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	1	no	—
675	#424	—	47	1	no	—
676	#424	—	47	1	no	—
677	#424	—	47	1	no	—
678	#424	—	47	1	no	—
679	#424	—	47	1	no	—
680	#424	—	47	2	no	—
681	#424	—	47	2	no	—
682	#424	—	47	2	no	—
683	#424	—	47	2	no	—
684	#423	—	47	1	no	—
685	#423	—	47	1	no	—
686	#423	—	47	1	no	—
687	#423	C₂×D₄₇	1	1	yes	characteristic, complemented
688	C₂×C₄⋊C₈	—	47	1	no	—
689	C₂×C₄⋊C₈	—	47	1	no	—
690	C₂×C₄⋊C₈	—	47	1	no	—
691	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
692	#408	—	47	1	no	—
693	#408	—	47	1	no	—
694	#408	—	47	1	no	—
695	#408	—	47	1	no	—
696	#408	—	47	1	no	—
697	#408	—	47	1	no	—
698	#408	—	47	2	no	—
699	#408	—	47	2	no	—
700	#408	—	47	2	no	—
701	#408	—	47	2	no	—
702	#408	C₂×D₄₇	1	1	yes	characteristic
703	#408	C₂×D₄₇	1	1	yes	characteristic
704	#407	—	47	2	no	—
705	#407	—	47	2	no	—
706	C₂×C₂²⋊C₈	—	47	2	no	—
707	C₂×C₂²⋊C₈	—	47	2	no	—
708	#405	—	47	1	no	—
709	#405	—	47	1	no	—
710	#405	—	47	1	no	—
711	#405	—	47	1	no	—
712	#405	—	47	1	no	—
713	#405	—	47	1	no	—
714	#405	—	47	2	no	—
715	#405	—	47	2	no	—
716	#405	—	47	2	no	—
717	#405	—	47	2	no	—
718	#405	C₂×D₄₇	1	1	yes	characteristic, complemented
719	#405	C₂×D₄₇	1	1	yes	characteristic, complemented
720	C₄×M₁₆	—	47	2	no	—
721	C₄×M₁₆	—	47	2	no	—
722	C₂×#97	—	47	2	no	—
723	C₂×C₄×C₈	—	47	2	no	—
724	C₄₇	#60126	1	1	yes	characteristic, complemented, Sylow
725	C₂×#41	—	47	1	no	—
726	C₂×#41	—	47	2	no	—
727	C₂×#41	—	47	1	no	—
728	C₂×#41	—	47	2	no	—
729	C₂×#41	—	47	1	no	—
730	C₂×#41	—	94	4	no	—
731	C₂×#41	—	94	4	no	—
732	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
733	C₂²×Q₈	—	47	1	no	—
734	C₂²×D₄	—	47	1	no	—
735	C₂²×D₄	—	47	2	no	—
736	C₂³×C₄	—	47	1	no	—
737	C₂³×C₄	—	47	2	no	—
738	C₂×M₁₆	—	47	1	no	—
739	C₂×M₁₆	—	47	1	no	—
740	C₂×M₁₆	—	47	1	no	—
741	C₂×M₁₆	—	47	2	no	—
742	C₂×M₁₆	—	47	1	no	—
743	C₂×M₁₆	—	47	1	no	—
744	C₂×M₁₆	—	47	2	no	—
745	C₂×M₁₆	—	47	1	no	—
746	C₂×M₁₆	—	94	4	no	—
747	C₂×M₁₆	—	94	4	no	—
748	C₂×M₁₆	—	94	4	no	—
749	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
750	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
751	C₂²×C₈	—	47	1	no	—
752	C₂²×C₈	—	47	1	no	—
753	C₂²×C₈	—	47	1	no	—
754	C₂²×C₈	—	47	1	no	—
755	C₂²×C₈	—	47	1	no	—
756	C₂²×C₈	—	47	1	no	—
757	C₂²×C₈	—	47	2	no	—
758	C₂²×C₈	—	47	2	no	—
759	C₂²×C₈	—	94	4	no	—
760	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
761	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
762	C₄×Q₈	—	47	1	no	—
763	C₄×Q₈	—	47	1	no	—
764	C₄×Q₈	—	47	2	no	—
765	C₄×Q₈	—	47	2	no	—
766	C₄×Q₈	—	47	1	no	—
767	C₄×Q₈	—	47	1	no	—
768	C₄×Q₈	—	47	2	no	—
769	C₄×Q₈	—	47	2	no	—
770	C₄×Q₈	—	47	1	no	—
771	C₄×Q₈	—	47	1	no	—
772	C₄×Q₈	C₄×D₄₇	1	1	yes	characteristic
773	C₄×Q₈	C₄×D₄₇	1	1	yes	characteristic
774	C₄×D₄	—	47	2	no	—
775	C₄×D₄	—	47	2	no	—
776	C₄×D₄	—	47	1	no	—
777	C₄×D₄	—	47	1	no	—
778	C₄×D₄	—	47	2	no	—
779	C₄×D₄	—	47	2	no	—
780	C₄×D₄	—	47	2	no	—
781	C₄×D₄	—	47	2	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	1	no	—
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	2	no	—
793	C₄×D₄	—	47	2	no	—
794	C₄×D₄	—	47	2	no	—
795	C₄×D₄	—	47	2	no	—
796	C₄×D₄	—	47	1	no	—
797	C₄×D₄	—	47	1	no	—
798	C₄×D₄	C₄×D₄₇	1	2	yes	—
799	C₄×D₄	C₄×D₄₇	1	2	yes	—
800	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
801	C₄×D₄	C₄×D₄₇	1	1	yes	characteristic
802	#117	—	47	1	no	—
803	#117	—	47	2	no	—
804	#117	—	47	1	no	—
805	#117	—	47	1	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	1	no	—
812	#117	—	47	1	no	—
813	#117	—	47	2	no	—
814	#117	—	47	2	no	—
815	#117	—	47	1	no	—
816	#117	—	47	1	no	—
817	#117	—	47	2	no	—
818	#117	—	47	2	no	—
819	#117	—	47	2	no	—
820	#117	—	47	1	no	—
821	#117	—	47	1	no	—
822	#117	—	47	1	no	—
823	#117	—	47	1	no	—
824	#117	—	47	2	no	—
825	#117	—	47	2	no	—
826	#117	C₂²×D₄₇	1	1	yes	characteristic
827	#117	C₂²×D₄₇	1	2	yes	—
828	C₂×C₄⋊C₄	—	47	1	no	—
829	C₂×C₄⋊C₄	—	47	1	no	—
830	C₂×C₄⋊C₄	—	47	2	no	—
831	C₂×C₄⋊C₄	—	47	2	no	—
832	C₂×C₄⋊C₄	—	47	1	no	—
833	C₂×C₄⋊C₄	—	47	1	no	—
834	C₂×C₄⋊C₄	—	47	2	no	—
835	C₂×C₄⋊C₄	—	47	2	no	—
836	C₂×C₂²⋊C₄	—	47	1	no	—
837	C₂×C₂²⋊C₄	—	47	1	no	—
838	C₂×C₂²⋊C₄	—	47	2	no	—
839	C₂×C₂²⋊C₄	—	47	2	no	—
840	C₂×C₂²⋊C₄	—	47	2	no	—
841	C₂×C₂²⋊C₄	—	47	2	no	—
842	C₂×C₂²⋊C₄	—	47	2	no	—
843	C₂×C₄²	—	47	1	no	—
844	C₂×C₄²	—	47	2	no	—
845	C₂×C₄²	—	47	2	no	—
846	C₂×C₄²	—	47	2	no	—
847	C₂×C₄²	—	47	2	no	—
848	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
849	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
850	C₄⋊C₈	—	47	1	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	2	no	—
859	C₄⋊C₈	—	47	2	no	—
860	C₄⋊C₈	—	47	2	no	—
861	C₄⋊C₈	—	47	2	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	2	no	—
867	C₄⋊C₈	—	47	2	no	—
868	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
869	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
870	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
871	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
872	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
873	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
874	C₂²⋊C₈	—	47	2	no	—
875	C₂²⋊C₈	—	47	2	no	—
876	C₂²⋊C₈	—	47	2	no	—
877	C₂²⋊C₈	—	47	2	no	—
878	C₂²⋊C₈	—	47	2	no	—
879	C₂²⋊C₈	—	47	2	no	—
880	C₂²⋊C₈	—	47	2	no	—
881	C₂²⋊C₈	—	47	2	no	—
882	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	C₂²×D₄₇	1	2	yes	—
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	#97	—	47	2	no	—
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	#97	C₂²×D₄₇	1	2	yes	—
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	—	47	2	no	—
903	C₄×C₈	—	47	2	no	—
904	C₄×C₈	C₂²×D₄₇	1	2	yes	—
905	C₄×C₈	C₂²×D₄₇	1	2	yes	—
906	C₂⁴	—	47	1	no	—
907	C₂⁴	—	47	2	no	—
908	#41	—	2	2	no	—
909	#41	—	2	2	no	—
910	#41	—	94	4	no	—
911	#41	—	94	4	no	—
912	#41	—	94	8	no	—
913	#41	—	94	4	no	—
914	#41	—	94	4	no	—
915	#41	—	94	2	no	—
916	#41	—	94	2	no	—
917	C₂×Q₈	—	47	2	no	—
918	C₂×Q₈	—	47	1	no	—
919	C₂×Q₈	—	94	4	no	—
920	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
921	C₂×D₄	—	47	2	no	—
922	C₂×D₄	—	47	2	no	—
923	C₂×D₄	—	47	2	no	—
924	C₂×D₄	—	47	2	no	—
925	C₂×D₄	—	47	1	no	—
926	C₂×D₄	—	94	4	no	—
927	C₂×D₄	—	94	8	no	—
928	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
929	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
930	C₂²×C₄	—	47	1	no	—
931	C₂²×C₄	—	47	1	no	—
932	C₂²×C₄	—	47	1	no	—
933	C₂²×C₄	—	47	4	no	—
934	C₂²×C₄	—	47	4	no	—
935	C₂²×C₄	—	47	1	no	—
936	C₂²×C₄	—	47	1	no	—
937	C₂²×C₄	—	47	2	no	—
938	C₂²×C₄	—	47	2	no	—
939	C₂²×C₄	—	47	2	no	—
940	C₂²×C₄	—	47	1	no	—
941	C₂²×C₄	—	47	1	no	—
942	C₂²×C₄	—	47	2	no	—
943	C₂²×C₄	—	47	2	no	—
944	C₂²×C₄	—	47	2	no	—
945	C₂²×C₄	—	47	2	no	—
946	C₂²×C₄	—	47	2	no	—
947	C₂²×C₄	—	47	2	no	—
948	C₂²×C₄	—	47	2	no	—
949	C₂²×C₄	—	47	2	no	—
950	C₂²×C₄	—	47	2	no	—
951	C₂²×C₄	—	94	4	no	—
952	C₂²×C₄	—	94	4	no	—
953	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
954	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
955	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
956	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
957	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
958	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
959	M₁₆	—	2	2	no	—
960	M₁₆	—	2	2	no	—
961	M₁₆	—	94	2	no	—
962	M₁₆	—	94	2	no	—
963	M₁₆	—	94	2	no	—
964	M₁₆	—	94	2	no	—
965	M₁₆	—	94	4	no	—
966	M₁₆	—	94	4	no	—
967	M₁₆	—	94	2	no	—
968	M₁₆	—	94	2	no	—
969	C₂×C₈	—	2	2	no	—
970	C₂×C₈	—	2	2	no	—
971	C₂×C₈	—	47	1	no	—
972	C₂×C₈	—	47	1	no	—
973	C₂×C₈	—	47	2	no	—
974	C₂×C₈	—	47	2	no	—
975	C₂×C₈	—	47	1	no	—
976	C₂×C₈	—	47	1	no	—
977	C₂×C₈	—	94	2	no	—
978	C₂×C₈	—	94	2	no	—
979	C₂×C₈	—	94	2	no	—
980	C₂×C₈	—	94	2	no	—
981	C₂×C₈	—	94	4	no	—
982	C₂×C₈	—	94	4	no	—
983	C₂×C₈	—	94	2	no	—
984	C₂×C₈	—	94	2	no	—
985	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
986	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
987	C₂×C₈	C₂³×D₄₇	1	2	yes	—
988	C₂×C₈	C₂³×D₄₇	1	2	yes	—
989	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
990	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
991	C₄⋊C₄	—	47	2	no	—
992	C₄⋊C₄	—	47	2	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	—	47	1	no	—
1000	C₄⋊C₄	—	47	1	no	—
1001	C₄⋊C₄	—	47	2	no	—
1002	C₄⋊C₄	—	47	2	no	—
1003	C₄⋊C₄	—	47	2	no	—
1004	C₄⋊C₄	—	47	2	no	—
1005	C₄⋊C₄	—	47	2	no	—
1006	C₄⋊C₄	—	47	2	no	—
1007	C₄⋊C₄	—	47	1	no	—
1008	C₄⋊C₄	—	47	1	no	—
1009	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1010	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1011	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1012	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
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	1	no	—
1019	C₂²⋊C₄	—	47	1	no	—
1020	C₂²⋊C₄	—	47	1	no	—
1021	C₂²⋊C₄	—	47	1	no	—
1022	C₂²⋊C₄	—	47	1	no	—
1023	C₂²⋊C₄	—	47	1	no	—
1024	C₂²⋊C₄	—	47	2	no	—
1025	C₂²⋊C₄	—	47	2	no	—
1026	C₂²⋊C₄	—	47	1	no	—
1027	C₂²⋊C₄	—	47	1	no	—
1028	C₂²⋊C₄	—	47	2	no	—
1029	C₂²⋊C₄	—	47	2	no	—
1030	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1031	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1032	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1033	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	2	no	—
1040	C₄²	—	47	2	no	—
1041	C₄²	—	47	2	no	—
1042	C₄²	—	47	2	no	—
1043	C₄²	—	47	2	no	—
1044	C₄²	—	47	1	no	—
1045	C₄²	—	47	1	no	—
1046	C₄²	C₂×C₄×D₄₇	1	2	yes	—
1047	C₄²	C₂×C₄×D₄₇	1	2	yes	—
1048	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1049	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
1050	C₄²	C₂³×D₄₇	1	2	yes	—
1051	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1052	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1053	C₂³	—	47	1	no	—
1054	C₂³	—	47	1	no	—
1055	C₂³	—	47	4	no	—
1056	C₂³	—	47	2	no	—
1057	C₂³	—	94	4	no	—
1058	C₂³	—	188	2	no	—
1059	C₂³	—	188	2	no	—
1060	C₂³	—	188	1	no	—
1061	C₂³	—	188	1	no	—
1062	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1063	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1064	Q₈	—	2	2	no	—
1065	Q₈	—	94	4	no	—
1066	Q₈	—	94	2	no	—
1067	D₄	—	2	4	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	94	4	no	—
1070	D₄	—	94	4	no	—
1071	D₄	—	94	4	no	—
1072	D₄	—	94	4	no	—
1073	D₄	—	94	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	4	1	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	47	4	no	—
1081	C₂×C₄	—	47	1	no	—
1082	C₂×C₄	—	47	1	no	—
1083	C₂×C₄	—	47	4	no	—
1084	C₂×C₄	—	47	4	no	—
1085	C₂×C₄	—	47	2	no	—
1086	C₂×C₄	—	47	2	no	—
1087	C₂×C₄	—	47	2	no	—
1088	C₂×C₄	—	47	2	no	—
1089	C₂×C₄	—	47	1	no	—
1090	C₂×C₄	—	47	2	no	—
1091	C₂×C₄	—	47	1	no	—
1092	C₂×C₄	—	47	1	no	—
1093	C₂×C₄	—	47	2	no	—
1094	C₂×C₄	—	47	1	no	—
1095	C₂×C₄	—	47	2	no	—
1096	C₂×C₄	—	94	4	no	—
1097	C₂×C₄	—	94	4	no	—
1098	C₂×C₄	—	94	4	no	—
1099	C₂×C₄	—	94	2	no	—
1100	C₂×C₄	—	94	2	no	—
1101	C₂×C₄	—	188	2	no	—
1102	C₂×C₄	—	188	2	no	—
1103	C₂×C₄	—	188	2	no	—
1104	C₂×C₄	—	188	2	no	—
1105	C₂×C₄	—	188	2	no	—
1106	C₂×C₄	—	188	2	no	—
1107	C₂×C₄	—	188	1	no	—
1108	C₂×C₄	—	188	2	no	—
1109	C₂×C₄	—	188	1	no	—
1110	C₂×C₄	—	188	2	no	—
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	C₂²×C₄×D₄₇	1	2	yes	—
1115	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1116	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1117	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1118	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1119	C₂×C₄	#41×D₄₇	1	2	yes	—
1120	C₂×C₄	#41×D₄₇	1	2	yes	—
1121	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1122	C₈	—	2	1	no	—
1123	C₈	—	2	1	no	—
1124	C₈	—	2	1	no	—
1125	C₈	—	2	1	no	—
1126	C₈	—	2	2	no	—
1127	C₈	—	2	2	no	—
1128	C₈	—	94	1	no	—
1129	C₈	—	94	1	no	—
1130	C₈	—	94	2	no	—
1131	C₈	—	94	2	no	—
1132	C₈	—	94	1	no	—
1133	C₈	—	94	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	—	47	2	no	—
1140	C₂²	—	47	2	no	—
1141	C₂²	—	94	1	no	—
1142	C₂²	—	94	1	no	—
1143	C₂²	—	94	1	no	—
1144	C₂²	—	94	1	no	—
1145	C₂²	—	94	2	no	—
1146	C₂²	—	94	2	no	—
1147	C₂²	—	94	2	no	—
1148	C₂²	—	376	4	no	—
1149	C₂²	—	188	4	no	—
1150	C₂²	#117×D₄₇	1	2	yes	—
1151	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1152	C₄	—	2	2	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	47	2	no	—
1160	C₄	—	47	2	no	—
1161	C₄	—	94	2	no	—
1162	C₄	—	94	2	no	—
1163	C₄	—	94	1	no	—
1164	C₄	—	94	1	no	—
1165	C₄	—	94	2	no	—
1166	C₄	—	94	1	no	—
1167	C₄	—	94	1	no	—
1168	C₄	#117×D₄₇	1	2	yes	—
1169	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1170	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1171	C₂	—	2	2	no	—
1172	C₂	—	4	2	no	—
1173	C₂	—	94	2	no	—
1174	C₂	—	94	2	no	—
1175	C₂	—	188	2	no	—
1176	C₂	C₂×#117×D₄₇	1	1	yes	characteristic
1177	C₂	#20258099	1	1	yes	characteristic
1178	C₂	#20258101	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2925	C₂
prime radical	C₂×#41×D₄₇	C₂²
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2925	D₄₇
hypocenter	C₄₇	#60126
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2925

Complements

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

N	H ≅ G/N	type
2. #20252056	C₂	semidirect
3. #20252054	C₂	semidirect
4. #20252053	C₂	semidirect
5. #20252052	C₂	semidirect
6. #20252052	C₂	semidirect
7. #20252050	C₂	semidirect
8. #20252050	C₂	semidirect
9. #20252047	C₂	semidirect
10. #20252044	C₂	semidirect
11. #20252044	C₂	semidirect
12. #20252041	C₂	semidirect
13. #20252036	C₂	semidirect
14. #20252034	C₂	semidirect
15. #20252029	C₂	semidirect
16. #20252027	C₂	semidirect
17. #20251950	C₂	semidirect
18. C₂×#15689148	C₂	semidirect
21. #20251804	C₂	semidirect
22. #405×D₄₇	C₂	semidirect
23. C₄₇×#2925	C₂	semidirect
50. #15689185	C₂²	semidirect
51. #15689185	C₂²	semidirect
52. #15689184	C₂²	semidirect
53. #15689184	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
60. #15689181	C₂²	semidirect
61. #15689181	C₂²	semidirect
62. #15689181	C₂²	semidirect
63. #15689181	C₂²	semidirect
64. #15689180	C₂²	semidirect
65. #15689179	C₂²	semidirect
66. #15689179	C₂²	semidirect
67. #15689178	C₂²	semidirect
68. #15689178	C₂²	semidirect
69. #15689177	C₂²	semidirect
70. #15689177	C₂²	semidirect
71. #15689176	C₂²	semidirect
72. #15689175	C₂²	semidirect
73. #15689175	C₂²	semidirect
74. #15689174	C₂²	semidirect
75. #15689174	C₂²	semidirect
76. #15689173	C₂²	semidirect
77. #15689173	C₂²	semidirect
84. #15689148	C₂²	semidirect
85. #15689148	C₂²	semidirect
86. #15689148	C₂²	semidirect
87. #15689148	C₂²	semidirect
88. #15689148	C₂²	semidirect
89. #15689148	C₂²	semidirect
90. #15689147	C₂²	semidirect
91. #15689146	C₂²	semidirect
92. #15689146	C₂²	semidirect
93. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
94. C₂×Dic₄₇⋊C₈	C₂²	semidirect
95. C₂×Dic₄₇⋊C₈	C₂²	semidirect
110. #15689081	C₂²	semidirect
111. #15689081	C₂²	semidirect
114. #15689079	C₂²	semidirect
115. #15689079	C₂²	semidirect
116. #15689078	C₂²	semidirect
117. #15689078	C₂²	semidirect
120. #15689075	C₂²	semidirect
121. C₄×#10625324	C₂²	semidirect
122. #97×D₄₇	C₂²	semidirect
123. C₄×C₈×D₄₇	C₂²	semidirect
125. C₄₇×#433	C₂²	semidirect
126. C₄₇×#433	C₂²	semidirect
127. C₄₇×#432	C₂²	semidirect
128. C₄₇×#431	C₂²	semidirect
129. C₄₇×#423	C₂²	semidirect
130. C₂×C₄⋊C₈×C₄₇	C₂²	semidirect
133. C₄₇×#405	C₂²	semidirect
134. C₄₇×#405	C₂²	semidirect
590. #2925	D₄₇	semidirect
654. #433	C₂×D₄₇	semidirect
655. #433	C₂×D₄₇	semidirect
663. #432	C₂×D₄₇	semidirect
671. #431	C₂×D₄₇	semidirect
687. #423	C₂×D₄₇	semidirect
691. C₂×C₄⋊C₈	C₂×D₄₇	semidirect
718. #405	C₂×D₄₇	semidirect
719. #405	C₂×D₄₇	semidirect
724. C₄₇	#60126	semidirect

Maximal subgroups

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

subgroup	index
#20256587	2
#20252056	2
#20252054	2
#20252053	2
#20252052	2
#20252050	2
#20252047	2
#20252044	2
#20252041	2
#20252036	2
#20252034	2
#20252029	2
#20252027	2
#20251950	2
C₂×#15689148	2
#20251830	2
#408×D₄₇	2
#20251804	2
#405×D₄₇	2
C₄₇×#2925	2
#60126	47