Subgroups — #26422669

Order 12032.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251563	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251557	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251551	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251541	C₂	1	1	yes	maximal, characteristic, complemented
5	#20251530	C₂	1	1	yes	maximal, characteristic, complemented
6	#20251527	C₂	1	1	yes	maximal, characteristic, complemented
7	#20251517	C₂	1	1	yes	maximal, characteristic, complemented
8	#20251509	C₂	1	1	yes	maximal, characteristic, complemented
9	#20251498	C₂	1	1	yes	maximal, characteristic, complemented
10	#20251486	C₂	1	1	yes	maximal, characteristic, complemented
11	#20251481	C₂	1	1	yes	maximal, characteristic, complemented
12	#20251479	C₂	1	1	yes	maximal, characteristic, complemented
13	#20251474	C₂	1	1	yes	maximal, characteristic, complemented
14	#20251471	C₂	1	1	yes	maximal, characteristic, complemented
15	#20251468	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246687	C₂	1	1	yes	maximal, characteristic, complemented
17	#20246685	C₂	1	1	yes	maximal, characteristic, complemented
18	#20246677	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246673	C₂	1	1	yes	maximal, characteristic, complemented
20	#20246663	C₂	1	1	yes	maximal, characteristic, complemented
21	#20246653	C₂	1	1	yes	maximal, characteristic, complemented
22	#20246652	C₂	1	1	yes	maximal, characteristic, complemented
23	#20246633	C₂	1	1	yes	maximal, characteristic, complemented
24	#20246629	C₂	1	1	yes	maximal, characteristic, complemented
25	#20246625	C₂	1	1	yes	maximal, characteristic, complemented
26	#20246602	C₂	1	1	yes	maximal, characteristic, complemented
27	#20246602	C₂	1	1	yes	maximal, characteristic, complemented
28	#20245873	C₂	1	1	yes	maximal, characteristic, complemented
29	#20245824	C₂	1	1	yes	maximal, characteristic, complemented
30	#20245824	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2827	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#10625352	C₂²	1	1	yes	characteristic
33	C₂×#13093989	C₂²	1	1	yes	characteristic
34	C₂×#13093986	C₂²	1	1	yes	characteristic
35	C₂×#13093986	C₂²	1	1	yes	characteristic
36	C₂×#13093986	C₂²	1	1	yes	characteristic
37	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×#13093982	C₂²	1	1	yes	characteristic
42	C₂×#13093982	C₂²	1	1	yes	characteristic
43	C₂×#13093980	C₂²	1	1	yes	characteristic
44	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
45	C₄₇⋊#401	C₂²	1	1	yes	characteristic
46	C₄₇⋊#401	C₂²	1	1	yes	characteristic
47	#15689065	C₂²	1	1	yes	characteristic
48	#15689065	C₂²	1	1	yes	characteristic
49	#15689064	C₂²	1	1	yes	characteristic
50	#15689064	C₂²	1	1	yes	characteristic
51	#15689064	C₂²	1	1	yes	characteristic
52	#15689064	C₂²	1	1	yes	characteristic
53	#15689063	C₂²	1	1	yes	characteristic
54	#15689062	C₂²	1	1	yes	characteristic
55	#15689061	C₂²	1	1	yes	characteristic
56	#15689061	C₂²	1	1	yes	characteristic
57	#15689061	C₂²	1	1	yes	characteristic
58	#15689060	C₂²	1	1	yes	characteristic
59	#15689059	C₂²	1	1	yes	characteristic
60	#15689056	C₂²	1	1	yes	characteristic
61	#15689056	C₂²	1	1	yes	characteristic
62	#15689055	C₂²	1	1	yes	characteristic
63	#15689054	C₂²	1	1	yes	characteristic
64	#15689053	C₂²	1	1	yes	characteristic
65	#15689052	C₂²	1	1	yes	characteristic
66	#15689052	C₂²	1	1	yes	characteristic
67	#15689052	C₂²	1	1	yes	characteristic
68	#15689052	C₂²	1	1	yes	characteristic
69	#15689051	C₂²	1	1	yes	characteristic
70	#15689051	C₂²	1	1	yes	characteristic
71	#15689050	C₂²	1	1	yes	characteristic
72	#15689050	C₂²	1	1	yes	characteristic
73	#15689050	C₂²	1	1	yes	characteristic
74	#15689049	C₂²	1	1	yes	characteristic
75	#15689049	C₂²	1	1	yes	characteristic
76	#15689049	C₂²	1	1	yes	characteristic
77	#15689049	C₂²	1	1	yes	characteristic
78	#15689049	C₂²	1	1	yes	characteristic
79	#15689049	C₂²	1	1	yes	characteristic
80	#15689048	C₂²	1	1	yes	characteristic
81	#15689047	C₂²	1	1	yes	characteristic
82	#15689047	C₂²	1	1	yes	characteristic
83	#15689046	C₂²	1	1	yes	characteristic
84	#15689046	C₂²	1	1	yes	characteristic
85	#15689045	C₂²	1	1	yes	characteristic
86	#15689045	C₂²	1	1	yes	characteristic
87	#15689045	C₂²	1	1	yes	characteristic
88	#15689045	C₂²	1	1	yes	characteristic
89	#15689043	C₂²	1	1	yes	characteristic
90	#15689043	C₂²	1	1	yes	characteristic
91	#15689043	C₂²	1	1	yes	characteristic
92	#15689041	C₂²	1	1	yes	characteristic
93	#15689041	C₂²	1	1	yes	characteristic
94	#15689041	C₂²	1	1	yes	characteristic
95	#15689041	C₂²	1	1	yes	characteristic
96	#15689040	C₂²	1	1	yes	characteristic
97	#15689040	C₂²	1	1	yes	characteristic
98	#15689040	C₂²	1	1	yes	characteristic
99	#15689040	C₂²	1	1	yes	characteristic
100	#15689040	C₂²	1	1	yes	characteristic
101	#15689039	C₂²	1	1	yes	characteristic
102	#15689039	C₂²	1	1	yes	characteristic
103	#15689039	C₂²	1	1	yes	characteristic
104	#15689039	C₂²	1	1	yes	characteristic
105	#15689038	C₂²	1	1	yes	characteristic
106	#15689038	C₂²	1	1	yes	characteristic
107	#15689038	C₂²	1	1	yes	characteristic
108	#15689038	C₂²	1	1	yes	characteristic
109	#15689038	C₂²	1	1	yes	characteristic
110	#15689038	C₂²	1	1	yes	characteristic
111	#15689038	C₂²	1	1	yes	characteristic
112	#15689038	C₂²	1	1	yes	characteristic
113	#15689036	C₂²	1	1	yes	characteristic
114	#15689036	C₂²	1	1	yes	characteristic
115	#15689036	C₂²	1	1	yes	characteristic
116	#15689036	C₂²	1	1	yes	characteristic
117	#15689036	C₂²	1	1	yes	characteristic
118	#15689035	C₂²	1	1	yes	characteristic
119	#15689035	C₂²	1	1	yes	characteristic
120	#15689033	C₂²	1	1	yes	characteristic
121	#15689032	C₂²	1	1	yes	characteristic
122	#15689032	C₂²	1	1	yes	characteristic
123	#15689032	C₂²	1	1	yes	characteristic
124	#15689032	C₂²	1	1	yes	characteristic
125	#15689032	C₂²	1	1	yes	characteristic
126	#15689032	C₂²	1	1	yes	characteristic
127	#15689031	C₂²	1	1	yes	characteristic
128	#15689031	C₂²	1	1	yes	characteristic
129	#15689027	C₂²	1	1	yes	characteristic
130	#15689027	C₂²	1	1	yes	characteristic
131	#15689023	C₂²	1	1	yes	characteristic
132	#15689023	C₂²	1	1	yes	characteristic
133	#15689015	C₂²	1	1	yes	characteristic
134	#15689015	C₂²	1	1	yes	characteristic
135	#15689013	C₂²	1	1	yes	characteristic
136	#15689013	C₂²	1	1	yes	characteristic
137	#15689010	C₂²	1	1	yes	characteristic
138	#15689010	C₂²	1	1	yes	characteristic
139	#15689004	C₂²	1	1	yes	characteristic
140	#15689004	C₂²	1	1	yes	characteristic
141	#15689003	C₂²	1	1	yes	characteristic
142	#15689002	C₂²	1	1	yes	characteristic
143	#15689002	C₂²	1	1	yes	characteristic
144	#15689002	C₂²	1	1	yes	characteristic
145	#15689000	C₂²	1	1	yes	characteristic
146	#15689000	C₂²	1	1	yes	characteristic
147	#15689000	C₂²	1	1	yes	characteristic
148	#15688998	C₂²	1	1	yes	characteristic
149	#15688998	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
154	#15688974	C₂²	1	1	yes	characteristic
155	#15688974	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
162	#15688970	C₂²	1	1	yes	characteristic
163	#15688970	C₂²	1	1	yes	characteristic
164	#15688970	C₂²	1	1	yes	characteristic
165	#15688970	C₂²	1	1	yes	characteristic
166	#15688970	C₂²	1	1	yes	characteristic
167	#15688970	C₂²	1	1	yes	characteristic
168	#15688970	C₂²	1	1	yes	characteristic
169	#15688970	C₂²	1	1	yes	characteristic
170	#15688968	C₂²	1	1	yes	characteristic
171	#15688968	C₂²	1	1	yes	characteristic
172	C₄₇×#400	C₂²	1	1	yes	characteristic
173	C₄₇×#400	C₂²	1	1	yes	characteristic
174	C₄₇×#399	C₂²	1	1	yes	characteristic
175	C₄₇×#398	C₂²	1	1	yes	characteristic
176	C₄₇×#398	C₂²	1	1	yes	characteristic
177	C₄₇×#397	C₂²	1	1	yes	characteristic
178	C₄₇×#397	C₂²	1	1	yes	characteristic
179	C₄₇×#397	C₂²	1	1	yes	characteristic
180	C₄₇×#396	C₂²	1	1	yes	characteristic
181	C₄₇×#396	C₂²	1	1	yes	characteristic
182	C₄₇×#394	C₂²	1	1	yes	characteristic
183	C₄₇×#394	C₂²	1	1	yes	characteristic
184	C₄₇×#386	C₂²	1	1	yes	characteristic
185	C₄₇×#385	C₂²	1	1	yes	characteristic
186	C₄₇×#385	C₂²	1	1	yes	characteristic
187	C₂×#10625352	—	2	4	no	—
188	C₂×#10625352	—	4	2	no	—
189	C₂×#10625352	—	4	2	no	—
190	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
191	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
192	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
193	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
194	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
200	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
201	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
202	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
203	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
207	#13093989	—	4	2	no	—
208	#13093986	—	4	2	no	—
209	#13093986	—	4	2	no	—
210	#13093986	—	4	2	no	—
211	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
212	(C₂²⋊D₄₇)⋊C₄	—	2	4	no	—
213	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
214	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
215	#13093982	—	4	2	no	—
216	#13093982	—	4	2	no	—
217	#13093980	—	4	2	no	—
218	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₇	—	4	2	no	—
274	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
286	C₄₇⋊#95	C₂³	1	1	yes	characteristic
287	C₄₇⋊#95	C₂³	1	1	yes	characteristic
288	C₄₇⋊#95	C₂³	1	1	yes	characteristic
289	C₄₇⋊#95	C₂³	1	1	yes	characteristic
290	C₄₇⋊#95	C₂³	1	1	yes	characteristic
291	C₄₇⋊#95	C₂³	1	1	yes	characteristic
292	C₄₇⋊#95	C₂³	1	1	yes	characteristic
293	C₄₇⋊#95	C₂³	1	1	yes	characteristic
294	C₄₇⋊#95	C₂³	1	1	yes	characteristic
295	C₄₇⋊#95	C₂³	1	1	yes	characteristic
296	C₄₇⋊#95	C₂³	1	1	yes	characteristic
297	C₄₇⋊#95	C₂³	1	1	yes	characteristic
298	C₄₇⋊#95	C₂³	1	1	yes	characteristic
299	C₄₇⋊#95	C₂³	1	1	yes	characteristic
300	C₄₇⋊#95	C₂³	1	1	yes	characteristic
301	C₄₇⋊#95	C₂³	1	1	yes	characteristic
302	C₄₇⋊#95	C₂³	1	1	yes	characteristic
303	C₄₇⋊#95	C₂³	1	1	yes	characteristic
304	C₄₇⋊#95	C₂³	1	1	yes	characteristic
305	C₄₇⋊#95	C₂³	1	1	yes	characteristic
306	C₄₇⋊#95	C₂³	1	1	yes	characteristic
307	C₄₇⋊#95	C₂³	1	1	yes	characteristic
308	C₄₇⋊#95	C₂³	1	1	yes	characteristic
309	C₄₇⋊#95	C₂³	1	1	yes	characteristic
310	C₄₇⋊#95	C₂³	1	1	yes	characteristic
311	C₄₇⋊#95	C₂³	1	1	yes	characteristic
312	C₄₇⋊#95	C₂³	1	1	yes	characteristic
313	C₄₇⋊#95	C₂³	1	1	yes	characteristic
314	C₄₇⋊#95	C₂³	1	1	yes	characteristic
315	C₄₇⋊#95	C₂³	1	1	yes	characteristic
316	C₄₇⋊#95	C₂³	1	1	yes	characteristic
317	C₄₇⋊#95	C₂³	1	1	yes	characteristic
318	C₄₇⋊#95	C₂³	1	1	yes	characteristic
319	C₄₇⋊#95	C₂³	1	1	yes	characteristic
320	C₄₇⋊#95	C₂³	1	1	yes	characteristic
321	C₄₇⋊#95	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	#95×C₄₇	C₂³	1	1	yes	characteristic
346	#95×C₄₇	C₂³	1	1	yes	characteristic
347	#95×C₄₇	C₂³	1	1	yes	characteristic
348	#95×C₄₇	C₂³	1	1	yes	characteristic
349	#95×C₄₇	C₂³	1	1	yes	characteristic
350	#95×C₄₇	C₂³	1	1	yes	characteristic
351	#95×C₄₇	C₂³	1	1	yes	characteristic
352	#95×C₄₇	C₂³	1	1	yes	characteristic
353	#95×C₄₇	C₂³	1	1	yes	characteristic
354	#95×C₄₇	C₂³	1	1	yes	characteristic
355	#95×C₄₇	C₂³	1	1	yes	characteristic
356	#95×C₄₇	C₂³	1	1	yes	characteristic
357	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
360	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
361	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
362	C₂×D₄×C₄₇	—	2	2	no	—
363	C₂×D₄×C₄₇	—	4	1	no	—
364	C₂×D₄×C₄₇	—	4	1	no	—
365	C₂²×C₄×C₄₇	—	4	1	no	—
366	C₂²×C₄×C₄₇	—	4	1	no	—
367	C₂²×C₄×C₄₇	—	4	1	no	—
368	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂×C₂²⋊D₄₇	—	2	2	no	—
382	C₂×C₂²⋊D₄₇	—	2	2	no	—
383	C₂×C₂²⋊D₄₇	—	2	2	no	—
384	C₂×C₂²⋊D₄₇	—	2	2	no	—
385	C₂×C₂²⋊D₄₇	—	4	1	no	—
386	C₂×C₂²⋊D₄₇	—	4	1	no	—
387	C₂×C₂²⋊D₄₇	—	4	1	no	—
388	C₂×C₂²⋊D₄₇	—	4	1	no	—
389	C₂×C₂²⋊D₄₇	—	4	1	no	—
390	C₂×C₂²⋊D₄₇	—	4	1	no	—
391	C₂×C₂²⋊D₄₇	—	4	1	no	—
392	C₂×C₂²⋊D₄₇	—	4	1	no	—
393	C₂×C₂²⋊D₄₇	—	4	1	no	—
394	C₂×C₂²⋊D₄₇	—	4	1	no	—
395	C₂×C₂²⋊D₄₇	—	4	1	no	—
396	C₂×C₂²⋊D₄₇	—	4	1	no	—
397	C₂×C₂²⋊D₄₇	—	4	1	no	—
398	C₂×C₂²⋊D₄₇	—	4	1	no	—
399	C₂²×Dic₄₇	—	2	2	no	—
400	C₂²×Dic₄₇	—	2	2	no	—
401	C₂²×Dic₄₇	—	2	2	no	—
402	C₂²×Dic₄₇	—	2	2	no	—
403	C₂²×Dic₄₇	—	2	2	no	—
404	C₂²×Dic₄₇	—	4	1	no	—
405	C₂²×Dic₄₇	—	4	1	no	—
406	C₂²×Dic₄₇	—	4	1	no	—
407	C₂²×Dic₄₇	#41	1	4	yes	—
408	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
421	#10625352	—	4	16	no	—
422	C₂×D₁₈₈	—	4	1	no	—
423	C₂×D₁₈₈	—	4	1	no	—
424	C₂×D₁₈₈	—	4	1	no	—
425	C₂×D₁₈₈	—	4	1	no	—
426	C₂×D₁₈₈	—	4	1	no	—
427	C₂×D₁₈₈	—	4	1	no	—
428	C₂×D₁₈₈	—	4	1	no	—
429	C₂×D₁₈₈	—	4	1	no	—
430	C₂×D₁₈₈	—	4	1	no	—
431	C₂×C₄×D₄₇	—	2	2	no	—
432	C₂×C₄×D₄₇	—	2	2	no	—
433	C₂×C₄×D₄₇	—	2	2	no	—
434	C₂×C₄×D₄₇	—	2	2	no	—
435	C₂×C₄×D₄₇	—	2	2	no	—
436	C₂×C₄×D₄₇	—	2	2	no	—
437	C₂×C₄×D₄₇	—	2	2	no	—
438	C₂×C₄×D₄₇	—	2	2	no	—
439	C₂×C₄×D₄₇	—	2	2	no	—
440	C₂×Dic₉₄	—	2	2	no	—
441	C₂×Dic₉₄	—	4	1	no	—
442	C₂×Dic₉₄	—	4	1	no	—
443	C₂×Dic₉₄	—	4	1	no	—
444	C₂×Dic₉₄	—	4	1	no	—
445	C₂×Dic₉₄	—	4	1	no	—
446	C₄⋊C₄×C₄₇	—	4	1	no	—
447	C₄⋊C₄×C₄₇	—	4	1	no	—
448	C₄⋊C₄×C₄₇	—	4	1	no	—
449	C₄⋊C₄×C₄₇	—	4	1	no	—
450	C₄⋊C₄×C₄₇	—	4	1	no	—
451	C₄⋊C₄×C₄₇	—	4	1	no	—
452	C₄⋊C₄×C₄₇	—	4	1	no	—
453	C₄⋊C₄×C₄₇	—	4	1	no	—
454	C₄⋊C₄×C₄₇	—	4	1	no	—
455	C₄⋊C₄×C₄₇	—	4	1	no	—
456	C₂²⋊C₄×C₄₇	—	2	2	no	—
457	C₂²⋊C₄×C₄₇	—	2	2	no	—
458	C₂²⋊C₄×C₄₇	—	4	1	no	—
459	C₂²⋊C₄×C₄₇	—	4	1	no	—
460	C₂²⋊C₄×C₄₇	—	4	1	no	—
461	C₂²⋊C₄×C₄₇	—	4	1	no	—
462	C₂²⋊C₄×C₄₇	—	4	1	no	—
463	C₂²⋊C₄×C₄₇	—	4	1	no	—
464	C₂²⋊C₄×C₄₇	—	4	1	no	—
465	C₂²⋊C₄×C₄₇	—	4	1	no	—
466	C₂²⋊C₄×C₄₇	—	4	1	no	—
467	C₂²⋊Dic₄₇	—	4	1	no	—
468	C₂²⋊Dic₄₇	—	4	1	no	—
469	C₂²⋊Dic₄₇	—	4	1	no	—
470	C₂²⋊Dic₄₇	—	4	1	no	—
471	C₂²⋊Dic₄₇	—	4	1	no	—
472	C₂²⋊Dic₄₇	—	4	1	no	—
473	C₂²⋊Dic₄₇	—	4	1	no	—
474	(C₂×D₄₇)⋊C₄	—	2	2	no	—
475	(C₂×D₄₇)⋊C₄	—	2	2	no	—
476	(C₂×D₄₇)⋊C₄	—	4	1	no	—
477	(C₂×D₄₇)⋊C₄	—	4	1	no	—
478	(C₂×D₄₇)⋊C₄	—	4	1	no	—
479	(C₂×D₄₇)⋊C₄	—	4	1	no	—
480	(C₂×D₄₇)⋊C₄	—	4	1	no	—
481	(C₂×D₄₇)⋊C₄	—	4	1	no	—
482	(C₂×D₄₇)⋊C₄	—	4	1	no	—
483	(C₂×D₄₇)⋊C₄	—	4	1	no	—
484	(C₂×D₄₇)⋊C₄	—	4	1	no	—
485	(C₂×D₄₇)⋊C₄	—	4	1	no	—
486	(C₂×D₄₇)⋊C₄	—	4	1	no	—
487	(C₂×D₄₇)⋊C₄	—	4	1	no	—
488	(C₂×D₄₇)⋊C₄	—	4	1	no	—
489	(C₂×D₄₇)⋊C₄	—	4	1	no	—
490	(C₂×D₄₇)⋊C₄	—	4	1	no	—
491	(C₂×D₄₇)⋊C₄	—	4	1	no	—
492	(C₂×D₄₇)⋊C₄	—	4	1	no	—
493	(C₂×D₄₇)⋊C₄	—	4	1	no	—
494	(C₂×D₄₇)⋊C₄	—	4	1	no	—
495	(C₂×D₄₇)⋊C₄	—	4	1	no	—
496	(C₂×D₄₇)⋊C₄	—	4	1	no	—
497	(C₂×D₄₇)⋊C₄	—	4	1	no	—
498	(C₂×D₄₇)⋊C₄	—	4	1	no	—
499	(C₂×D₄₇)⋊C₄	—	4	1	no	—
500	(C₂×D₄₇)⋊C₄	—	4	1	no	—
501	(C₂×D₄₇)⋊C₄	—	4	1	no	—
502	(C₂×D₄₇)⋊C₄	—	4	1	no	—
503	(C₂×D₄₇)⋊C₄	—	4	1	no	—
504	C₄⋊Dic₄₇	—	4	1	no	—
505	C₄⋊Dic₄₇	—	4	1	no	—
506	C₄⋊Dic₄₇	—	4	1	no	—
507	C₄⋊Dic₄₇	—	4	1	no	—
508	C₄⋊Dic₄₇	—	4	1	no	—
509	C₄⋊Dic₄₇	—	4	1	no	—
510	Dic₄₇⋊C₄	—	2	2	no	—
511	Dic₄₇⋊C₄	—	2	2	no	—
512	Dic₄₇⋊C₄	—	4	1	no	—
513	Dic₄₇⋊C₄	—	4	1	no	—
514	Dic₄₇⋊C₄	—	4	1	no	—
515	Dic₄₇⋊C₄	—	4	1	no	—
516	Dic₄₇⋊C₄	—	4	1	no	—
517	Dic₄₇⋊C₄	—	4	1	no	—
518	Dic₄₇⋊C₄	—	4	1	no	—
519	Dic₄₇⋊C₄	—	4	1	no	—
520	Dic₄₇⋊C₄	—	4	1	no	—
521	Dic₄₇⋊C₄	—	4	1	no	—
522	C₄×Dic₄₇	—	2	2	no	—
523	C₄×Dic₄₇	—	2	2	no	—
524	C₄×Dic₄₇	—	2	2	no	—
525	C₄×Dic₄₇	—	2	2	no	—
526	C₄×Dic₄₇	—	2	2	no	—
527	C₄×Dic₄₇	—	2	2	no	—
528	C₄×Dic₄₇	—	2	2	no	—
529	C₄×Dic₄₇	—	2	2	no	—
530	C₄×Dic₄₇	—	2	2	no	—
531	C₄×Dic₄₇	—	2	2	no	—
532	C₄×Dic₄₇	—	4	1	no	—
533	C₄×Dic₄₇	—	4	1	no	—
534	C₂³×C₄₇	—	2	1	no	—
535	C₂³×C₄₇	—	2	1	no	—
536	C₂³×C₄₇	—	2	1	no	—
537	C₂³×C₄₇	—	2	1	no	—
538	C₂³×C₄₇	—	2	1	no	—
539	C₂³×C₄₇	—	2	1	no	—
540	C₂³×C₄₇	—	2	1	no	—
541	C₂³×C₄₇	—	2	1	no	—
542	C₂³×C₄₇	—	2	1	no	—
543	C₂³×C₄₇	—	2	1	no	—
544	C₂³×C₄₇	—	2	1	no	—
545	C₂³×C₄₇	—	2	1	no	—
546	C₂³×C₄₇	—	2	1	no	—
547	C₂³×C₄₇	C₂×#41	1	2	yes	—
548	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
549	C₂²×D₄₇	—	2	1	no	—
550	C₂²×D₄₇	—	2	1	no	—
551	C₂²×D₄₇	—	2	1	no	—
552	C₂²×D₄₇	—	2	1	no	—
553	C₂²×D₄₇	—	2	1	no	—
554	C₂²×D₄₇	—	2	1	no	—
555	C₂²×D₄₇	—	2	1	no	—
556	C₂²×D₄₇	—	2	1	no	—
557	C₂²×D₄₇	—	2	1	no	—
558	C₂²×D₄₇	—	2	1	no	—
559	C₂²×D₄₇	—	2	1	no	—
560	C₂²×D₄₇	—	2	1	no	—
561	C₂²×D₄₇	—	2	1	no	—
562	C₂²×D₄₇	—	2	1	no	—
563	C₂²×D₄₇	—	2	1	no	—
564	C₂²×D₄₇	—	2	1	no	—
565	C₂²×D₄₇	—	2	1	no	—
566	C₂²×D₄₇	—	2	1	no	—
567	C₂²×D₄₇	—	2	1	no	—
568	C₂²×D₄₇	—	2	1	no	—
569	C₂²×D₄₇	—	2	1	no	—
570	D₄×C₄₇	—	4	4	no	—
571	C₂×C₄×C₄₇	—	2	1	no	—
572	C₂×C₄×C₄₇	—	2	1	no	—
573	C₂×C₄×C₄₇	—	2	1	no	—
574	C₂×C₄×C₄₇	—	2	1	no	—
575	C₂×C₄×C₄₇	—	2	1	no	—
576	C₂×C₄×C₄₇	—	2	1	no	—
577	C₂×C₄×C₄₇	—	2	1	no	—
578	C₂×C₄×C₄₇	—	2	1	no	—
579	C₂×C₄×C₄₇	—	2	1	no	—
580	C₂×C₄×C₄₇	—	2	1	no	—
581	C₂×C₄×C₄₇	—	2	1	no	—
582	C₂×C₄×C₄₇	—	2	1	no	—
583	C₂×C₄×C₄₇	—	2	1	no	—
584	C₂×C₄×C₄₇	—	2	1	no	—
585	C₂×C₄×C₄₇	—	2	1	no	—
586	C₂×C₄×C₄₇	—	2	1	no	—
587	C₂×C₄×C₄₇	—	2	1	no	—
588	C₂×C₄×C₄₇	—	2	1	no	—
589	C₂×C₄×C₄₇	—	2	1	no	—
590	C₂×C₄×C₄₇	—	2	1	no	—
591	C₂×C₄×C₄₇	—	2	1	no	—
592	C₂×C₄×C₄₇	—	2	1	no	—
593	C₂×C₄×C₄₇	—	2	1	no	—
594	C₂×C₄×C₄₇	—	2	1	no	—
595	C₂×C₄×C₄₇	—	2	1	no	—
596	C₂×C₄×C₄₇	—	2	1	no	—
597	C₂×C₄×C₄₇	—	2	1	no	—
598	C₂×C₄×C₄₇	—	2	1	no	—
599	C₂×C₄×C₄₇	—	2	1	no	—
600	C₂×C₄×C₄₇	—	2	1	no	—
601	C₂×C₄×C₄₇	—	2	1	no	—
602	C₂×C₄×C₄₇	—	2	1	no	—
603	C₂×C₄×C₄₇	—	2	1	no	—
604	C₂×C₄×C₄₇	—	2	1	no	—
605	C₂×C₄×C₄₇	—	2	1	no	—
606	C₂×C₄×C₄₇	—	2	1	no	—
607	C₂×C₄×C₄₇	—	2	1	no	—
608	C₂×C₄×C₄₇	—	2	1	no	—
609	C₂×C₄×C₄₇	—	2	1	no	—
610	C₂×C₄×C₄₇	—	4	4	no	—
611	C₂²⋊D₄₇	—	4	4	no	—
612	C₂²⋊D₄₇	—	4	4	no	—
613	C₂²⋊D₄₇	—	4	4	no	—
614	C₂²⋊D₄₇	—	4	4	no	—
615	C₂²⋊D₄₇	—	4	4	no	—
616	C₂²⋊D₄₇	—	4	4	no	—
617	C₂×Dic₄₇	—	2	1	no	—
618	C₂×Dic₄₇	—	2	1	no	—
619	C₂×Dic₄₇	—	2	8	no	—
620	C₂×Dic₄₇	—	2	1	no	—
621	C₂×Dic₄₇	—	2	1	no	—
622	C₂×Dic₄₇	—	2	1	no	—
623	C₂×Dic₄₇	—	2	1	no	—
624	C₂×Dic₄₇	—	2	1	no	—
625	C₂×Dic₄₇	—	2	1	no	—
626	C₂×Dic₄₇	—	2	1	no	—
627	C₂×Dic₄₇	—	2	1	no	—
628	C₂×Dic₄₇	—	2	1	no	—
629	C₂×Dic₄₇	—	2	1	no	—
630	C₂×Dic₄₇	—	2	1	no	—
631	C₂×Dic₄₇	—	2	1	no	—
632	C₂×Dic₄₇	—	2	1	no	—
633	C₂×Dic₄₇	—	2	1	no	—
634	C₂×Dic₄₇	—	2	1	no	—
635	C₂×Dic₄₇	—	2	1	no	—
636	C₂×Dic₄₇	—	2	1	no	—
637	C₂×Dic₄₇	—	2	1	no	—
638	C₂×Dic₄₇	—	2	1	no	—
639	C₂×Dic₄₇	—	2	1	no	—
640	C₂×Dic₄₇	—	2	1	no	—
641	C₂×Dic₄₇	—	2	1	no	—
642	C₂×Dic₄₇	—	2	1	no	—
643	C₂×Dic₄₇	—	2	1	no	—
644	C₂×Dic₄₇	—	2	1	no	—
645	C₂×Dic₄₇	—	2	1	no	—
646	C₂×Dic₄₇	—	2	1	no	—
647	C₂×Dic₄₇	—	2	1	no	—
648	C₂×Dic₄₇	—	2	1	no	—
649	C₂×Dic₄₇	—	2	1	no	—
650	C₂×Dic₄₇	—	2	1	no	—
651	C₂×Dic₄₇	—	2	1	no	—
652	C₂×Dic₄₇	—	2	1	no	—
653	C₂×Dic₄₇	—	4	4	no	—
654	C₂×Dic₄₇	—	4	4	no	—
655	C₂×Dic₄₇	C₂×#41	1	2	yes	—
656	C₂×Dic₄₇	C₂×#41	1	2	yes	—
657	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
658	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
659	D₁₈₈	—	4	4	no	—
660	D₁₈₈	—	4	4	no	—
661	D₁₈₈	—	4	4	no	—
662	C₄×D₄₇	—	4	4	no	—
663	C₄×D₄₇	—	4	4	no	—
664	C₄×D₄₇	—	4	4	no	—
665	Dic₉₄	—	4	4	no	—
666	Dic₉₄	—	4	4	no	—
667	#36670	—	47	1	no	maximal, Sylow
668	C₂²×C₄₇	—	2	2	no	—
669	C₂²×C₄₇	—	2	2	no	—
670	C₂²×C₄₇	—	2	2	no	—
671	C₂²×C₄₇	—	4	1	no	—
672	C₂²×C₄₇	—	4	1	no	—
673	C₂²×C₄₇	—	4	1	no	—
674	C₂²×C₄₇	—	4	1	no	—
675	C₂²×C₄₇	—	4	1	no	—
676	C₂²×C₄₇	—	4	1	no	—
677	C₂²×C₄₇	—	4	1	no	—
678	C₂²×C₄₇	—	4	1	no	—
679	C₂²×C₄₇	—	4	1	no	—
680	C₂²×C₄₇	—	4	1	no	—
681	C₂²×C₄₇	—	4	1	no	—
682	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
683	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
685	C₂²×C₄₇	#585	1	1	yes	characteristic
686	C₂²×C₄₇	#585	1	1	yes	characteristic
687	C₂²×C₄₇	#585	1	1	yes	characteristic
688	C₂²×C₄₇	#585	1	1	yes	characteristic
689	C₂×D₄₇	—	4	1	no	—
690	C₂×D₄₇	—	4	1	no	—
691	C₂×D₄₇	—	4	1	no	—
692	C₂×D₄₇	—	4	1	no	—
693	C₂×D₄₇	—	4	1	no	—
694	C₂×D₄₇	—	4	1	no	—
695	C₂×D₄₇	—	4	1	no	—
696	C₂×D₄₇	—	4	1	no	—
697	C₂×D₄₇	—	4	1	no	—
698	C₂×D₄₇	—	4	1	no	—
699	C₂×D₄₇	—	4	1	no	—
700	C₂×D₄₇	—	4	1	no	—
701	C₂×D₄₇	—	4	1	no	—
702	C₂×D₄₇	—	4	1	no	—
703	C₂×D₄₇	—	4	1	no	—
704	C₂×D₄₇	—	4	1	no	—
705	C₂×D₄₇	—	4	1	no	—
706	C₂×D₄₇	—	4	1	no	—
707	C₂×D₄₇	—	4	1	no	—
708	C₂×D₄₇	—	4	1	no	—
709	C₂×D₄₇	—	4	1	no	—
710	C₄×C₄₇	—	4	1	no	—
711	C₄×C₄₇	—	4	1	no	—
712	C₄×C₄₇	—	4	1	no	—
713	C₄×C₄₇	—	4	1	no	—
714	C₄×C₄₇	—	4	1	no	—
715	C₄×C₄₇	—	4	1	no	—
716	C₄×C₄₇	—	4	1	no	—
717	C₄×C₄₇	—	4	1	no	—
718	C₄×C₄₇	—	4	1	no	—
719	C₄×C₄₇	—	4	1	no	—
720	C₄×C₄₇	—	4	1	no	—
721	C₄×C₄₇	—	4	1	no	—
722	C₄×C₄₇	—	4	1	no	—
723	Dic₄₇	—	2	2	no	—
724	Dic₄₇	—	4	1	no	—
725	Dic₄₇	—	4	1	no	—
726	Dic₄₇	—	4	1	no	—
727	Dic₄₇	—	4	1	no	—
728	Dic₄₇	—	4	1	no	—
729	Dic₄₇	—	4	1	no	—
730	Dic₄₇	—	4	1	no	—
731	Dic₄₇	—	4	1	no	—
732	Dic₄₇	—	4	1	no	—
733	Dic₄₇	—	4	1	no	—
734	Dic₄₇	—	4	1	no	—
735	Dic₄₇	#538	1	4	yes	—
736	#2833	—	47	1	no	—
737	#2832	—	47	1	no	—
738	#2831	—	47	1	no	—
739	#2831	—	47	1	no	—
740	#2830	—	47	1	no	—
741	#2829	—	47	1	no	—
742	#2829	—	47	1	no	—
743	#2828	—	47	1	no	—
744	#2827	—	47	1	no	—
745	#2827	D₄₇	1	1	yes	characteristic, complemented
746	#2826	—	47	1	no	—
747	#2826	—	47	1	no	—
748	#2825	—	47	1	no	—
749	#2825	—	47	1	no	—
750	#2824	—	47	1	no	—
751	#2824	—	47	1	no	—
752	#2401	—	47	1	no	—
753	#2401	—	47	1	no	—
754	#2398	—	47	1	no	—
755	#2398	—	47	1	no	—
756	#2396	—	47	1	no	—
757	#2395	—	47	1	no	—
758	#2395	—	47	1	no	—
759	#2392	—	47	1	no	—
760	#2392	—	47	1	no	—
761	#2392	—	47	1	no	—
762	#2388	—	47	1	no	—
763	#2388	—	47	1	no	—
764	#2297	—	47	1	no	—
765	#2290	—	47	1	no	—
766	#2290	—	47	1	no	—
767	C₂×C₄₇	—	4	2	no	—
768	C₂×C₄₇	—	8	1	no	—
769	C₂×C₄₇	C₂×#538	1	1	yes	characteristic
770	C₂×C₄₇	#3455	1	1	yes	characteristic
771	C₂×C₄₇	#3455	1	1	yes	characteristic
772	C₂×C₄₇	#3529	1	1	yes	characteristic
773	C₂×C₄₇	#3529	1	1	yes	characteristic
774	C₂×C₄₇	#3529	1	1	yes	characteristic
775	C₂×C₄₇	#3529	1	1	yes	characteristic
776	D₄₇	—	8	1	no	—
777	D₄₇	—	8	1	no	—
778	D₄₇	—	8	1	no	—
779	C₂²×#41	—	47	1	no	—
780	C₂×C₄×Q₈	—	47	1	no	—
781	C₂×C₄×D₄	—	47	1	no	—
782	C₂×C₄×D₄	—	47	1	no	—
783	C₂×C₄×D₄	—	47	1	no	—
784	C₂×C₄×D₄	—	47	1	no	—
785	C₂×C₄×D₄	—	47	1	no	—
786	C₂×C₄×D₄	—	47	1	no	—
787	C₂×C₄×D₄	—	47	1	no	—
788	C₂×#117	—	47	1	no	—
789	C₂×#117	—	47	1	no	—
790	C₂×#117	—	47	1	no	—
791	C₂²×C₄²	—	47	1	no	—
792	#401	—	47	1	no	—
793	#401	—	47	1	no	—
794	#400	—	47	1	no	—
795	#400	—	47	1	no	—
796	#400	—	47	1	no	—
797	#400	—	47	1	no	—
798	#400	—	47	1	no	—
799	#400	—	47	1	no	—
800	#400	—	47	1	no	—
801	#400	—	47	1	no	—
802	#400	—	47	1	no	—
803	#400	—	47	1	no	—
804	#400	—	47	1	no	—
805	#400	C₂×D₄₇	1	1	yes	characteristic
806	#400	C₂×D₄₇	1	1	yes	characteristic
807	#399	—	47	1	no	—
808	#399	—	47	1	no	—
809	#399	C₂×D₄₇	1	1	yes	characteristic
810	#398	—	47	1	no	—
811	#398	—	47	1	no	—
812	#398	—	47	1	no	—
813	#398	—	47	1	no	—
814	#398	—	47	1	no	—
815	#398	C₂×D₄₇	1	1	yes	characteristic
816	#398	C₂×D₄₇	1	1	yes	characteristic
817	#397	—	47	1	no	—
818	#397	—	47	1	no	—
819	#397	—	47	1	no	—
820	#397	—	47	1	no	—
821	#397	—	47	1	no	—
822	#397	—	47	1	no	—
823	#397	—	47	1	no	—
824	#397	—	47	1	no	—
825	#397	—	47	1	no	—
826	#397	—	47	1	no	—
827	#397	—	47	1	no	—
828	#397	—	47	1	no	—
829	#397	—	47	1	no	—
830	#397	—	47	1	no	—
831	#397	—	47	1	no	—
832	#397	—	47	1	no	—
833	#397	C₂×D₄₇	1	1	yes	characteristic
834	#397	C₂×D₄₇	1	1	yes	characteristic
835	#397	C₂×D₄₇	1	1	yes	characteristic
836	#396	—	47	1	no	—
837	#396	—	47	1	no	—
838	#396	—	47	1	no	—
839	#396	—	47	1	no	—
840	#396	—	47	1	no	—
841	#396	—	47	1	no	—
842	#396	—	47	1	no	—
843	#396	—	47	1	no	—
844	#396	C₂×D₄₇	1	1	yes	characteristic
845	#396	C₂×D₄₇	1	1	yes	characteristic
846	#395	—	47	1	no	—
847	#395	—	47	1	no	—
848	#395	—	47	1	no	—
849	#394	—	47	1	no	—
850	#394	—	47	1	no	—
851	#394	—	47	1	no	—
852	#394	—	47	1	no	—
853	#394	—	47	1	no	—
854	#394	—	47	1	no	—
855	#394	—	47	1	no	—
856	#394	—	47	1	no	—
857	#394	—	47	1	no	—
858	#394	—	47	1	no	—
859	#394	—	47	1	no	—
860	#394	—	47	1	no	—
861	#394	—	47	1	no	—
862	#394	—	47	1	no	—
863	#394	—	47	1	no	—
864	#394	—	47	1	no	—
865	#394	—	47	1	no	—
866	#394	—	47	1	no	—
867	#394	—	47	1	no	—
868	#394	—	47	1	no	—
869	#394	—	47	1	no	—
870	#394	C₂×D₄₇	1	1	yes	characteristic
871	#394	C₂×D₄₇	1	1	yes	characteristic
872	#393	—	47	1	no	—
873	#393	—	47	1	no	—
874	#393	—	47	1	no	—
875	#393	—	47	1	no	—
876	#393	—	47	1	no	—
877	#393	—	47	1	no	—
878	#393	—	47	1	no	—
879	#392	—	47	1	no	—
880	#392	—	47	1	no	—
881	#392	—	47	1	no	—
882	#392	—	47	1	no	—
883	#392	—	47	1	no	—
884	#392	—	47	1	no	—
885	#392	—	47	1	no	—
886	#392	—	47	1	no	—
887	#392	—	47	1	no	—
888	#391	—	47	1	no	—
889	#391	—	47	1	no	—
890	#390	—	47	1	no	—
891	#390	—	47	1	no	—
892	#388	—	47	1	no	—
893	#388	—	47	1	no	—
894	#388	—	47	1	no	—
895	#388	—	47	1	no	—
896	#387	—	47	1	no	—
897	#387	—	47	1	no	—
898	#387	—	47	1	no	—
899	#387	—	47	1	no	—
900	#386	—	47	1	no	—
901	#386	—	47	1	no	—
902	#386	—	47	1	no	—
903	#386	—	47	1	no	—
904	#386	—	47	1	no	—
905	#386	—	47	1	no	—
906	#386	—	47	1	no	—
907	#386	C₂×D₄₇	1	1	yes	characteristic
908	#385	—	47	1	no	—
909	#385	—	47	1	no	—
910	#385	C₂×D₄₇	1	1	yes	characteristic
911	#385	C₂×D₄₇	1	1	yes	characteristic
912	C₄×C₄⋊C₄	—	47	1	no	—
913	C₄×C₄⋊C₄	—	47	1	no	—
914	C₄×C₄⋊C₄	—	47	1	no	—
915	C₄×C₄⋊C₄	—	47	1	no	—
916	C₄×C₄⋊C₄	—	47	1	no	—
917	C₄×C₄⋊C₄	—	47	1	no	—
918	C₄×C₂²⋊C₄	—	47	1	no	—
919	C₄×C₂²⋊C₄	—	47	1	no	—
920	C₄×C₂²⋊C₄	—	47	1	no	—
921	C₄×C₂²⋊C₄	—	47	1	no	—
922	C₄×C₂²⋊C₄	—	47	1	no	—
923	C₄×C₂²⋊C₄	—	47	1	no	—
924	C₄×C₂²⋊C₄	—	47	1	no	—
925	C₄×C₂²⋊C₄	—	47	1	no	—
926	C₄×C₂²⋊C₄	—	47	1	no	—
927	C₄×C₂²⋊C₄	—	47	1	no	—
928	C₄×C₂²⋊C₄	—	47	1	no	—
929	C₄×C₂²⋊C₄	—	47	1	no	—
930	C₄×C₂²⋊C₄	—	47	1	no	—
931	C₄×C₂²⋊C₄	—	47	1	no	—
932	#376	—	47	1	no	—
933	#376	—	47	1	no	—
934	C₄₇	#36670	1	1	yes	characteristic, complemented, Sylow
935	C₂×#41	—	94	4	no	—
936	C₂×#41	—	188	2	no	—
937	C₂×#41	—	188	2	no	—
938	C₂²×Q₈	—	47	1	no	—
939	C₂²×Q₈	—	47	1	no	—
940	C₂²×D₄	—	47	1	no	—
941	C₂²×D₄	—	47	1	no	—
942	C₂²×D₄	—	47	1	no	—
943	C₂²×D₄	—	47	1	no	—
944	C₂²×D₄	—	47	1	no	—
945	C₂²×D₄	—	47	1	no	—
946	C₂²×D₄	—	47	1	no	—
947	C₂²×D₄	—	47	1	no	—
948	C₂²×D₄	—	47	1	no	—
949	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
950	C₂³×C₄	—	47	1	no	—
951	C₂³×C₄	—	47	1	no	—
952	C₂³×C₄	—	47	1	no	—
953	C₂³×C₄	—	47	1	no	—
954	C₂³×C₄	—	47	1	no	—
955	C₂³×C₄	—	47	1	no	—
956	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
957	C₄×Q₈	—	188	2	no	—
958	C₄×D₄	—	94	4	no	—
959	C₄×D₄	—	94	4	no	—
960	C₄×D₄	—	188	2	no	—
961	C₄×D₄	—	188	2	no	—
962	C₄×D₄	—	188	2	no	—
963	C₄×D₄	—	188	2	no	—
964	C₄×D₄	—	188	2	no	—
965	#117	—	188	2	no	—
966	#117	—	188	2	no	—
967	#117	—	188	2	no	—
968	C₂×C₄⋊C₄	—	47	1	no	—
969	C₂×C₄⋊C₄	—	47	1	no	—
970	C₂×C₄⋊C₄	—	47	1	no	—
971	C₂×C₄⋊C₄	—	47	1	no	—
972	C₂×C₄⋊C₄	—	47	1	no	—
973	C₂×C₄⋊C₄	—	47	1	no	—
974	C₂×C₄⋊C₄	—	47	1	no	—
975	C₂×C₄⋊C₄	—	47	1	no	—
976	C₂×C₄⋊C₄	—	47	1	no	—
977	C₂×C₄⋊C₄	—	47	1	no	—
978	C₂×C₄⋊C₄	—	47	1	no	—
979	C₂×C₄⋊C₄	—	47	1	no	—
980	C₂×C₄⋊C₄	—	47	1	no	—
981	C₂×C₄⋊C₄	—	47	1	no	—
982	C₂×C₄⋊C₄	—	47	1	no	—
983	C₂×C₄⋊C₄	—	47	1	no	—
984	C₂×C₄⋊C₄	—	47	1	no	—
985	C₂×C₄⋊C₄	—	47	1	no	—
986	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	—	47	1	no	—
997	C₂×C₂²⋊C₄	—	47	1	no	—
998	C₂×C₂²⋊C₄	—	47	1	no	—
999	C₂×C₂²⋊C₄	—	47	1	no	—
1000	C₂×C₂²⋊C₄	—	47	1	no	—
1001	C₂×C₂²⋊C₄	—	47	1	no	—
1002	C₂×C₂²⋊C₄	—	47	1	no	—
1003	C₂×C₂²⋊C₄	—	47	1	no	—
1004	C₂×C₂²⋊C₄	—	47	1	no	—
1005	C₂×C₂²⋊C₄	—	47	1	no	—
1006	C₂×C₂²⋊C₄	—	47	1	no	—
1007	C₂×C₂²⋊C₄	—	47	1	no	—
1008	C₂×C₂²⋊C₄	—	47	1	no	—
1009	C₂×C₂²⋊C₄	—	47	1	no	—
1010	C₂×C₂²⋊C₄	—	47	1	no	—
1011	C₂×C₂²⋊C₄	—	47	1	no	—
1012	C₂×C₂²⋊C₄	—	47	1	no	—
1013	C₂×C₂²⋊C₄	—	47	1	no	—
1014	C₂×C₂²⋊C₄	—	47	1	no	—
1015	C₂×C₂²⋊C₄	—	47	1	no	—
1016	C₂×C₂²⋊C₄	—	47	1	no	—
1017	C₂×C₂²⋊C₄	—	47	1	no	—
1018	C₂×C₂²⋊C₄	—	47	1	no	—
1019	C₂×C₂²⋊C₄	—	47	1	no	—
1020	C₂×C₂²⋊C₄	—	47	1	no	—
1021	C₂×C₂²⋊C₄	—	47	1	no	—
1022	C₂×C₂²⋊C₄	—	47	1	no	—
1023	C₂×C₂²⋊C₄	—	47	1	no	—
1024	C₂×C₂²⋊C₄	—	47	1	no	—
1025	C₂×C₂²⋊C₄	—	47	1	no	—
1026	C₂×C₂²⋊C₄	—	47	1	no	—
1027	C₂×C₂²⋊C₄	—	47	1	no	—
1028	C₂×C₂²⋊C₄	—	47	1	no	—
1029	C₂×C₂²⋊C₄	—	47	1	no	—
1030	C₂×C₂²⋊C₄	—	47	1	no	—
1031	C₂×C₂²⋊C₄	—	47	1	no	—
1032	C₂×C₂²⋊C₄	—	47	1	no	—
1033	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1044	C₂×C₄²	—	47	1	no	—
1045	C₂×C₄²	—	47	1	no	—
1046	C₂×C₄²	—	47	1	no	—
1047	C₂×C₄²	—	47	1	no	—
1048	C₂×C₄²	—	47	1	no	—
1049	C₂×C₄²	—	47	1	no	—
1050	C₂×C₄²	—	47	1	no	—
1051	C₂×C₄²	—	47	1	no	—
1052	C₂×C₄²	—	47	1	no	—
1053	C₂×C₄²	—	47	1	no	—
1054	C₂×C₄²	—	47	1	no	—
1055	C₂×C₄²	—	47	1	no	—
1056	C₂×C₄²	—	188	2	no	—
1057	#95	—	47	1	no	—
1058	#95	—	47	1	no	—
1059	#95	—	47	1	no	—
1060	#95	—	47	1	no	—
1061	#95	—	47	1	no	—
1062	#95	—	47	1	no	—
1063	#95	—	47	1	no	—
1064	#95	—	47	1	no	—
1065	#95	—	47	1	no	—
1066	#95	—	47	1	no	—
1067	#95	—	47	1	no	—
1068	#95	—	47	1	no	—
1069	#95	—	47	1	no	—
1070	#95	—	47	1	no	—
1071	#95	—	47	1	no	—
1072	#95	—	47	1	no	—
1073	#95	—	47	1	no	—
1074	#95	—	47	1	no	—
1075	#95	—	47	1	no	—
1076	#95	—	47	1	no	—
1077	#95	—	47	1	no	—
1078	#95	—	47	1	no	—
1079	#95	—	47	1	no	—
1080	#95	—	47	1	no	—
1081	#95	—	47	1	no	—
1082	#95	—	47	1	no	—
1083	#95	—	47	1	no	—
1084	#95	—	47	1	no	—
1085	#95	—	47	1	no	—
1086	#95	—	47	1	no	—
1087	#95	—	47	1	no	—
1088	#95	—	47	1	no	—
1089	#95	—	47	1	no	—
1090	#95	—	47	1	no	—
1091	#95	—	47	1	no	—
1092	#95	—	47	1	no	—
1093	#95	C₂²×D₄₇	1	1	yes	characteristic
1094	#95	C₂²×D₄₇	1	1	yes	characteristic
1095	#95	C₂²×D₄₇	1	1	yes	characteristic
1096	#95	C₂²×D₄₇	1	1	yes	characteristic
1097	#95	C₂²×D₄₇	1	1	yes	characteristic
1098	#95	C₂²×D₄₇	1	1	yes	characteristic
1099	#95	C₂²×D₄₇	1	1	yes	characteristic
1100	#95	C₂²×D₄₇	1	1	yes	characteristic
1101	#95	C₂²×D₄₇	1	1	yes	characteristic
1102	#95	C₂²×D₄₇	1	1	yes	characteristic
1103	#95	C₂²×D₄₇	1	1	yes	characteristic
1104	#95	C₂²×D₄₇	1	1	yes	characteristic
1105	C₂⁴	—	47	1	no	—
1106	C₂⁴	—	47	1	no	—
1107	C₂⁴	—	47	1	no	—
1108	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1109	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1110	#41	—	188	16	no	—
1111	C₂×Q₈	—	94	2	no	—
1112	C₂×Q₈	—	188	1	no	—
1113	C₂×Q₈	—	188	1	no	—
1114	C₂×Q₈	—	188	1	no	—
1115	C₂×Q₈	—	188	1	no	—
1116	C₂×Q₈	—	188	1	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	4	1	no	—
1119	C₂×D₄	—	4	1	no	—
1120	C₂×D₄	—	94	2	no	—
1121	C₂×D₄	—	94	2	no	—
1122	C₂×D₄	—	94	2	no	—
1123	C₂×D₄	—	94	2	no	—
1124	C₂×D₄	—	188	1	no	—
1125	C₂×D₄	—	188	1	no	—
1126	C₂×D₄	—	188	1	no	—
1127	C₂×D₄	—	188	1	no	—
1128	C₂×D₄	—	188	1	no	—
1129	C₂×D₄	—	188	1	no	—
1130	C₂×D₄	—	188	1	no	—
1131	C₂×D₄	—	188	1	no	—
1132	C₂×D₄	—	188	1	no	—
1133	C₂×D₄	—	188	1	no	—
1134	C₂×D₄	—	188	1	no	—
1135	C₂×D₄	—	188	1	no	—
1136	C₂×D₄	—	188	1	no	—
1137	C₂×D₄	—	188	1	no	—
1138	C₂×D₄	—	188	1	no	—
1139	C₂×D₄	—	188	1	no	—
1140	C₂×D₄	—	188	1	no	—
1141	C₂×D₄	—	188	1	no	—
1142	C₂×D₄	—	188	1	no	—
1143	C₂×D₄	—	188	1	no	—
1144	C₂×D₄	—	188	1	no	—
1145	C₂×D₄	—	188	1	no	—
1146	C₂×D₄	—	188	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	47	1	no	—
1151	C₂²×C₄	—	47	4	no	—
1152	C₂²×C₄	—	47	1	no	—
1153	C₂²×C₄	—	47	1	no	—
1154	C₂²×C₄	—	47	1	no	—
1155	C₂²×C₄	—	47	1	no	—
1156	C₂²×C₄	—	47	1	no	—
1157	C₂²×C₄	—	47	1	no	—
1158	C₂²×C₄	—	47	1	no	—
1159	C₂²×C₄	—	47	1	no	—
1160	C₂²×C₄	—	47	1	no	—
1161	C₂²×C₄	—	47	1	no	—
1162	C₂²×C₄	—	47	1	no	—
1163	C₂²×C₄	—	47	1	no	—
1164	C₂²×C₄	—	94	2	no	—
1165	C₂²×C₄	—	94	2	no	—
1166	C₂²×C₄	—	94	2	no	—
1167	C₂²×C₄	—	94	2	no	—
1168	C₂²×C₄	—	94	2	no	—
1169	C₂²×C₄	—	94	2	no	—
1170	C₂²×C₄	—	94	2	no	—
1171	C₂²×C₄	—	94	2	no	—
1172	C₂²×C₄	—	94	2	no	—
1173	C₂²×C₄	—	94	2	no	—
1174	C₂²×C₄	—	94	2	no	—
1175	C₂²×C₄	—	94	2	no	—
1176	C₂²×C₄	—	94	2	no	—
1177	C₂²×C₄	—	94	2	no	—
1178	C₂²×C₄	—	188	1	no	—
1179	C₂²×C₄	—	188	1	no	—
1180	C₂²×C₄	—	188	1	no	—
1181	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	94	2	no	—
1205	C₄⋊C₄	—	94	2	no	—
1206	C₄⋊C₄	—	188	1	no	—
1207	C₄⋊C₄	—	188	1	no	—
1208	C₄⋊C₄	—	188	1	no	—
1209	C₄⋊C₄	—	188	1	no	—
1210	C₄⋊C₄	—	188	1	no	—
1211	C₄⋊C₄	—	188	1	no	—
1212	C₄⋊C₄	—	188	1	no	—
1213	C₄⋊C₄	—	188	1	no	—
1214	C₄⋊C₄	—	188	1	no	—
1215	C₄⋊C₄	—	188	1	no	—
1216	C₄⋊C₄	—	188	1	no	—
1217	C₄⋊C₄	—	188	1	no	—
1218	C₄⋊C₄	—	188	1	no	—
1219	C₄⋊C₄	—	188	1	no	—
1220	C₄⋊C₄	—	188	1	no	—
1221	C₄⋊C₄	—	188	1	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	94	2	no	—
1234	C₂²⋊C₄	—	94	2	no	—
1235	C₂²⋊C₄	—	188	1	no	—
1236	C₂²⋊C₄	—	188	1	no	—
1237	C₂²⋊C₄	—	188	1	no	—
1238	C₂²⋊C₄	—	188	1	no	—
1239	C₂²⋊C₄	—	188	1	no	—
1240	C₂²⋊C₄	—	188	1	no	—
1241	C₂²⋊C₄	—	188	1	no	—
1242	C₂²⋊C₄	—	188	1	no	—
1243	C₂²⋊C₄	—	188	1	no	—
1244	C₂²⋊C₄	—	188	1	no	—
1245	C₂²⋊C₄	—	188	1	no	—
1246	C₂²⋊C₄	—	188	1	no	—
1247	C₂²⋊C₄	—	188	1	no	—
1248	C₂²⋊C₄	—	188	1	no	—
1249	C₂²⋊C₄	—	188	1	no	—
1250	C₂²⋊C₄	—	188	1	no	—
1251	C₂²⋊C₄	—	188	1	no	—
1252	C₂²⋊C₄	—	188	1	no	—
1253	C₂²⋊C₄	—	188	1	no	—
1254	C₂²⋊C₄	—	188	1	no	—
1255	C₂²⋊C₄	—	188	1	no	—
1256	C₂²⋊C₄	—	188	1	no	—
1257	C₂²⋊C₄	—	188	1	no	—
1258	C₂²⋊C₄	—	188	1	no	—
1259	C₂²⋊C₄	—	188	1	no	—
1260	C₂²⋊C₄	—	188	1	no	—
1261	C₂²⋊C₄	—	188	1	no	—
1262	C₂²⋊C₄	—	188	1	no	—
1263	C₂²⋊C₄	—	188	1	no	—
1264	C₂²⋊C₄	—	188	1	no	—
1265	C₂²⋊C₄	—	188	1	no	—
1266	C₂²⋊C₄	—	188	1	no	—
1267	C₂²⋊C₄	—	188	1	no	—
1268	C₂²⋊C₄	—	188	1	no	—
1269	C₂²⋊C₄	—	188	1	no	—
1270	C₄²	—	94	2	no	—
1271	C₄²	—	94	2	no	—
1272	C₄²	—	94	2	no	—
1273	C₄²	—	94	2	no	—
1274	C₄²	—	94	2	no	—
1275	C₄²	—	94	2	no	—
1276	C₄²	—	94	2	no	—
1277	C₄²	—	94	2	no	—
1278	C₄²	—	94	2	no	—
1279	C₄²	—	94	2	no	—
1280	C₄²	—	188	1	no	—
1281	C₄²	—	188	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	94	1	no	—
1296	C₂³	—	94	1	no	—
1297	C₂³	—	94	1	no	—
1298	C₂³	—	94	1	no	—
1299	C₂³	—	94	1	no	—
1300	C₂³	—	94	1	no	—
1301	C₂³	—	94	1	no	—
1302	C₂³	—	94	1	no	—
1303	C₂³	—	94	1	no	—
1304	C₂³	—	94	1	no	—
1305	C₂³	—	94	1	no	—
1306	C₂³	—	94	1	no	—
1307	C₂³	—	94	1	no	—
1308	C₂³	—	94	1	no	—
1309	C₂³	—	94	1	no	—
1310	C₂³	—	94	1	no	—
1311	C₂³	—	94	1	no	—
1312	C₂³	—	94	1	no	—
1313	C₂³	—	94	1	no	—
1314	C₂³	—	94	1	no	—
1315	C₂³	—	94	1	no	—
1316	C₂³	#41×D₄₇	1	2	yes	—
1317	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1318	Q₈	—	188	4	no	—
1319	Q₈	—	188	4	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	188	4	no	—
1322	D₄	—	188	4	no	—
1323	D₄	—	188	4	no	—
1324	D₄	—	188	4	no	—
1325	D₄	—	188	4	no	—
1326	D₄	—	188	4	no	—
1327	D₄	—	188	4	no	—
1328	D₄	—	188	4	no	—
1329	D₄	—	188	4	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	4	4	no	—
1370	C₂×C₄	—	47	2	no	—
1371	C₂×C₄	—	47	2	no	—
1372	C₂×C₄	—	47	2	no	—
1373	C₂×C₄	—	47	2	no	—
1374	C₂×C₄	—	94	8	no	—
1375	C₂×C₄	—	94	1	no	—
1376	C₂×C₄	—	94	1	no	—
1377	C₂×C₄	—	94	1	no	—
1378	C₂×C₄	—	94	1	no	—
1379	C₂×C₄	—	94	1	no	—
1380	C₂×C₄	—	94	1	no	—
1381	C₂×C₄	—	94	1	no	—
1382	C₂×C₄	—	94	1	no	—
1383	C₂×C₄	—	94	1	no	—
1384	C₂×C₄	—	94	1	no	—
1385	C₂×C₄	—	94	1	no	—
1386	C₂×C₄	—	94	1	no	—
1387	C₂×C₄	—	94	1	no	—
1388	C₂×C₄	—	94	1	no	—
1389	C₂×C₄	—	94	1	no	—
1390	C₂×C₄	—	94	1	no	—
1391	C₂×C₄	—	94	1	no	—
1392	C₂×C₄	—	94	1	no	—
1393	C₂×C₄	—	94	1	no	—
1394	C₂×C₄	—	94	1	no	—
1395	C₂×C₄	—	94	1	no	—
1396	C₂×C₄	—	94	1	no	—
1397	C₂×C₄	—	94	1	no	—
1398	C₂×C₄	—	94	1	no	—
1399	C₂×C₄	—	94	1	no	—
1400	C₂×C₄	—	94	1	no	—
1401	C₂×C₄	—	94	1	no	—
1402	C₂×C₄	—	94	1	no	—
1403	C₂×C₄	—	94	1	no	—
1404	C₂×C₄	—	94	1	no	—
1405	C₂×C₄	—	94	1	no	—
1406	C₂×C₄	—	94	1	no	—
1407	C₂×C₄	—	94	1	no	—
1408	C₂×C₄	—	94	1	no	—
1409	C₂×C₄	—	94	1	no	—
1410	C₂×C₄	—	188	4	no	—
1411	C₂×C₄	—	188	4	no	—
1412	C₂×C₄	—	188	4	no	—
1413	C₂×C₄	—	188	4	no	—
1414	C₂×C₄	—	188	4	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	188	1	no	—
1430	C₂²	—	188	1	no	—
1431	C₂²	—	188	1	no	—
1432	C₂²	—	188	1	no	—
1433	C₂²	—	188	1	no	—
1434	C₂²	—	188	1	no	—
1435	C₂²	—	188	1	no	—
1436	C₂²	—	188	1	no	—
1437	C₂²	—	188	1	no	—
1438	C₂²	—	188	1	no	—
1439	C₂²	—	188	1	no	—
1440	C₂²	—	188	1	no	—
1441	C₂²	—	188	1	no	—
1442	C₂²	—	188	1	no	—
1443	C₂²	—	188	1	no	—
1444	C₂²	—	188	1	no	—
1445	C₂²	—	188	1	no	—
1446	C₂²	—	188	1	no	—
1447	C₂²	—	188	1	no	—
1448	C₂²	—	188	1	no	—
1449	C₂²	—	188	1	no	—
1450	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1451	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1452	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1453	C₂²	#15689958	1	1	yes	characteristic
1454	C₂²	#15689958	1	1	yes	characteristic
1455	C₂²	#15689960	1	1	yes	characteristic
1456	C₂²	#15689960	1	1	yes	characteristic
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	47	4	no	—
1471	C₄	—	94	2	no	—
1472	C₄	—	188	1	no	—
1473	C₄	—	188	1	no	—
1474	C₄	—	188	1	no	—
1475	C₄	—	188	1	no	—
1476	C₄	—	188	1	no	—
1477	C₄	—	188	1	no	—
1478	C₄	—	188	1	no	—
1479	C₄	—	188	1	no	—
1480	C₄	—	188	1	no	—
1481	C₄	—	188	1	no	—
1482	C₄	—	188	1	no	—
1483	C₂	—	4	2	no	—
1484	C₂	—	8	1	no	—
1485	C₂	—	376	1	no	—
1486	C₂	—	376	1	no	—
1487	C₂	—	376	1	no	—
1488	C₂	#538×D₄₇	1	1	yes	characteristic
1489	C₂	#20256774	1	1	yes	characteristic
1490	C₂	#20256774	1	1	yes	characteristic
1491	C₂	#20257523	1	1	yes	characteristic
1492	C₂	#20257525	1	1	yes	characteristic
1493	C₂	#20257525	1	1	yes	characteristic
1494	C₂	#20257529	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2827	C₂
hypercenter	#2827	D₄₇
hypocenter	C₄₇	#36670
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2827

Complements

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

N	H ≅ G/N	type
1. #20251563	C₂	semidirect
2. #20251557	C₂	semidirect
3. #20251551	C₂	semidirect
4. #20251541	C₂	semidirect
5. #20251530	C₂	semidirect
6. #20251527	C₂	semidirect
7. #20251517	C₂	semidirect
8. #20251509	C₂	semidirect
9. #20251498	C₂	semidirect
10. #20251486	C₂	semidirect
11. #20251481	C₂	semidirect
12. #20251479	C₂	semidirect
13. #20251474	C₂	semidirect
14. #20251471	C₂	semidirect
15. #20251468	C₂	semidirect
16. #20246687	C₂	semidirect
17. #20246685	C₂	semidirect
18. #20246677	C₂	semidirect
19. #20246673	C₂	semidirect
20. #20246663	C₂	semidirect
21. #20246653	C₂	semidirect
22. #20246652	C₂	semidirect
23. #20246633	C₂	semidirect
24. #20246629	C₂	semidirect
25. #20246625	C₂	semidirect
26. #20246602	C₂	semidirect
27. #20246602	C₂	semidirect
28. #20245873	C₂	semidirect
29. #20245824	C₂	semidirect
30. #20245824	C₂	semidirect
31. C₄₇×#2827	C₂	semidirect
745. #2827	D₄₇	semidirect
934. C₄₇	#36670	semidirect

Maximal subgroups

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

subgroup	index
#20251563	2
#20251557	2
#20251551	2
#20251541	2
#20251530	2
#20251527	2
#20251517	2
#20251509	2
#20251498	2
#20251486	2
#20251481	2
#20251479	2
#20251474	2
#20251471	2
#20251468	2
#20246687	2
#20246685	2
#20246677	2
#20246673	2
#20246663	2
#20246653	2
#20246652	2
#20246633	2
#20246629	2
#20246625	2
#20246602	2
#20245873	2
#20245824	2
C₄₇×#2827	2
#36670	47