Subgroups — #26424450

Order 12032.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251727	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251224	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251208	C₂	1	1	yes	maximal, characteristic, complemented
4	#20250635	C₂	1	1	yes	maximal, characteristic, complemented
5	#20250380	C₂	1	1	yes	maximal, characteristic, complemented
6	#20250278	C₂	1	1	yes	maximal, characteristic, complemented
7	#20250178	C₂	1	1	yes	maximal, characteristic, complemented
8	#20250139	C₂	1	1	yes	maximal, characteristic, complemented
9	#20250115	C₂	1	1	yes	maximal, characteristic, complemented
10	#20250100	C₂	1	1	yes	maximal, characteristic, complemented
11	#20250056	C₂	1	1	yes	maximal, characteristic, complemented
12	#20250027	C₂	1	1	yes	maximal, characteristic, complemented
13	#20249865	C₂	1	1	yes	maximal, characteristic, complemented
14	#20249818	C₂	1	1	yes	maximal, characteristic, complemented
15	#20249734	C₂	1	1	yes	maximal, characteristic, complemented
16	#20249689	C₂	1	1	yes	maximal, characteristic, complemented
17	#20249648	C₂	1	1	yes	maximal, characteristic, complemented
18	#20249273	C₂	1	1	yes	maximal, characteristic, complemented
19	#20249273	C₂	1	1	yes	maximal, characteristic, complemented
20	#20248537	C₂	1	1	yes	maximal, characteristic, complemented
21	#20248522	C₂	1	1	yes	maximal, characteristic, complemented
22	#20248507	C₂	1	1	yes	maximal, characteristic, complemented
23	#20248492	C₂	1	1	yes	maximal, characteristic, complemented
24	#20248240	C₂	1	1	yes	maximal, characteristic, complemented
25	#20248165	C₂	1	1	yes	maximal, characteristic, complemented
26	#20247579	C₂	1	1	yes	maximal, characteristic, complemented
27	#20247504	C₂	1	1	yes	maximal, characteristic, complemented
28	#20246155	C₂	1	1	yes	maximal, characteristic, complemented
29	#20246155	C₂	1	1	yes	maximal, characteristic, complemented
30	#20245831	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2856	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094019	C₂²	1	1	yes	characteristic
33	C₂×#13094017	C₂²	1	1	yes	characteristic
34	C₂×#13094014	C₂²	1	1	yes	characteristic
35	C₂×#13094010	C₂²	1	1	yes	characteristic
36	C₂×#13094008	C₂²	1	1	yes	characteristic
37	C₂×#13094005	C₂²	1	1	yes	characteristic
38	C₂×#13094005	C₂²	1	1	yes	characteristic
39	C₂×#13094003	C₂²	1	1	yes	characteristic
40	C₂×#13094001	C₂²	1	1	yes	characteristic
41	C₂×#13093996	C₂²	1	1	yes	characteristic
42	C₂×#13093996	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
44	C₂×#13093981	C₂²	1	1	yes	characteristic
45	#15689062	C₂²	1	1	yes	characteristic
46	#15689061	C₂²	1	1	yes	characteristic
47	#15689061	C₂²	1	1	yes	characteristic
48	#15689061	C₂²	1	1	yes	characteristic
49	#15689061	C₂²	1	1	yes	characteristic
50	#15689059	C₂²	1	1	yes	characteristic
51	#15689058	C₂²	1	1	yes	characteristic
52	#15689058	C₂²	1	1	yes	characteristic
53	#15689056	C₂²	1	1	yes	characteristic
54	#15689054	C₂²	1	1	yes	characteristic
55	#15689053	C₂²	1	1	yes	characteristic
56	#15689051	C₂²	1	1	yes	characteristic
57	#15689051	C₂²	1	1	yes	characteristic
58	#15689051	C₂²	1	1	yes	characteristic
59	#15689049	C₂²	1	1	yes	characteristic
60	#15689048	C₂²	1	1	yes	characteristic
61	#15689048	C₂²	1	1	yes	characteristic
62	#15689048	C₂²	1	1	yes	characteristic
63	#15689046	C₂²	1	1	yes	characteristic
64	#15689046	C₂²	1	1	yes	characteristic
65	#15689046	C₂²	1	1	yes	characteristic
66	#15689045	C₂²	1	1	yes	characteristic
67	#15689039	C₂²	1	1	yes	characteristic
68	#15689039	C₂²	1	1	yes	characteristic
69	#15689039	C₂²	1	1	yes	characteristic
70	#15689038	C₂²	1	1	yes	characteristic
71	#15689037	C₂²	1	1	yes	characteristic
72	#15689037	C₂²	1	1	yes	characteristic
73	#15689037	C₂²	1	1	yes	characteristic
74	#15689037	C₂²	1	1	yes	characteristic
75	#15689037	C₂²	1	1	yes	characteristic
76	#15689037	C₂²	1	1	yes	characteristic
77	#15689037	C₂²	1	1	yes	characteristic
78	#15689037	C₂²	1	1	yes	characteristic
79	#15689037	C₂²	1	1	yes	characteristic
80	#15689037	C₂²	1	1	yes	characteristic
81	#15689037	C₂²	1	1	yes	characteristic
82	#15689037	C₂²	1	1	yes	characteristic
83	#15689035	C₂²	1	1	yes	characteristic
84	#15689035	C₂²	1	1	yes	characteristic
85	#15689031	C₂²	1	1	yes	characteristic
86	#15689031	C₂²	1	1	yes	characteristic
87	#15689031	C₂²	1	1	yes	characteristic
88	#15689031	C₂²	1	1	yes	characteristic
89	#15689031	C₂²	1	1	yes	characteristic
90	#15689031	C₂²	1	1	yes	characteristic
91	#15689031	C₂²	1	1	yes	characteristic
92	#15689031	C₂²	1	1	yes	characteristic
93	#15689029	C₂²	1	1	yes	characteristic
94	#15689029	C₂²	1	1	yes	characteristic
95	#15689026	C₂²	1	1	yes	characteristic
96	#15689026	C₂²	1	1	yes	characteristic
97	#15689026	C₂²	1	1	yes	characteristic
98	#15689026	C₂²	1	1	yes	characteristic
99	#15689023	C₂²	1	1	yes	characteristic
100	#15689021	C₂²	1	1	yes	characteristic
101	#15689021	C₂²	1	1	yes	characteristic
102	#15689018	C₂²	1	1	yes	characteristic
103	#15689017	C₂²	1	1	yes	characteristic
104	#15689016	C₂²	1	1	yes	characteristic
105	#15689016	C₂²	1	1	yes	characteristic
106	#15689016	C₂²	1	1	yes	characteristic
107	#15689016	C₂²	1	1	yes	characteristic
108	#15689016	C₂²	1	1	yes	characteristic
109	#15689016	C₂²	1	1	yes	characteristic
110	#15689014	C₂²	1	1	yes	characteristic
111	#15689014	C₂²	1	1	yes	characteristic
112	#15689013	C₂²	1	1	yes	characteristic
113	#15689011	C₂²	1	1	yes	characteristic
114	#15689011	C₂²	1	1	yes	characteristic
115	#15689011	C₂²	1	1	yes	characteristic
116	#15689011	C₂²	1	1	yes	characteristic
117	#15689011	C₂²	1	1	yes	characteristic
118	#15689011	C₂²	1	1	yes	characteristic
119	#15689009	C₂²	1	1	yes	characteristic
120	#15689009	C₂²	1	1	yes	characteristic
121	#15689009	C₂²	1	1	yes	characteristic
122	#15689009	C₂²	1	1	yes	characteristic
123	#15689009	C₂²	1	1	yes	characteristic
124	#15689009	C₂²	1	1	yes	characteristic
125	#15689007	C₂²	1	1	yes	characteristic
126	#15689007	C₂²	1	1	yes	characteristic
127	#15689007	C₂²	1	1	yes	characteristic
128	#15689007	C₂²	1	1	yes	characteristic
129	#15689007	C₂²	1	1	yes	characteristic
130	#15689007	C₂²	1	1	yes	characteristic
131	#15689004	C₂²	1	1	yes	characteristic
132	#15689004	C₂²	1	1	yes	characteristic
133	#15689003	C₂²	1	1	yes	characteristic
134	#15689003	C₂²	1	1	yes	characteristic
135	#15689003	C₂²	1	1	yes	characteristic
136	#15689003	C₂²	1	1	yes	characteristic
137	#15689003	C₂²	1	1	yes	characteristic
138	#15689003	C₂²	1	1	yes	characteristic
139	#15689003	C₂²	1	1	yes	characteristic
140	#15689003	C₂²	1	1	yes	characteristic
141	#15689003	C₂²	1	1	yes	characteristic
142	#15689003	C₂²	1	1	yes	characteristic
143	#15689003	C₂²	1	1	yes	characteristic
144	#15689003	C₂²	1	1	yes	characteristic
145	#15689002	C₂²	1	1	yes	characteristic
146	#15689002	C₂²	1	1	yes	characteristic
147	#15689000	C₂²	1	1	yes	characteristic
148	#15688999	C₂²	1	1	yes	characteristic
149	#15688999	C₂²	1	1	yes	characteristic
150	#15688999	C₂²	1	1	yes	characteristic
151	#15688999	C₂²	1	1	yes	characteristic
152	#15688998	C₂²	1	1	yes	characteristic
153	#15688998	C₂²	1	1	yes	characteristic
154	#15688996	C₂²	1	1	yes	characteristic
155	#15688996	C₂²	1	1	yes	characteristic
156	#15688996	C₂²	1	1	yes	characteristic
157	#15688996	C₂²	1	1	yes	characteristic
158	#15688995	C₂²	1	1	yes	characteristic
159	#15688986	C₂²	1	1	yes	characteristic
160	#15688986	C₂²	1	1	yes	characteristic
161	#15688984	C₂²	1	1	yes	characteristic
162	#15688983	C₂²	1	1	yes	characteristic
163	#15688981	C₂²	1	1	yes	characteristic
164	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
169	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
171	#15688969	C₂²	1	1	yes	characteristic
172	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
173	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
174	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
175	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
176	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
177	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
178	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
179	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
180	C₄₇×#390	C₂²	1	1	yes	characteristic
181	C₄₇×#390	C₂²	1	1	yes	characteristic
182	C₄₇×#390	C₂²	1	1	yes	characteristic
183	C₄₇×#390	C₂²	1	1	yes	characteristic
184	C₄₇×#390	C₂²	1	1	yes	characteristic
185	C₄₇×#390	C₂²	1	1	yes	characteristic
186	C₄₇×#384	C₂²	1	1	yes	characteristic
187	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
196	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
198	#13094019	—	4	2	no	—
199	#13094017	—	4	2	no	—
200	#13094014	—	4	2	no	—
201	#13094010	—	4	2	no	—
202	#13094008	—	4	2	no	—
203	#13094005	—	4	2	no	—
204	#13094005	—	4	2	no	—
205	#13094003	—	4	2	no	—
206	#13094001	—	4	2	no	—
207	#13093996	—	4	2	no	—
208	#13093996	—	4	2	no	—
209	C₄×C₂²⋊D₄₇	—	2	4	no	—
210	#13093981	—	4	2	no	—
211	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₇⋊C₄	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×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₇	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×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₄₇	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	C₂³	1	1	yes	characteristic
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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
281	C₄₇⋊#95	C₂³	1	1	yes	characteristic
282	C₄₇⋊#95	C₂³	1	1	yes	characteristic
283	C₄₇⋊#95	C₂³	1	1	yes	characteristic
284	C₄₇⋊#95	C₂³	1	1	yes	characteristic
285	C₄₇⋊#95	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	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
333	#127×C₄₇	—	4	2	no	—
334	#121×C₄₇	—	2	4	no	—
335	#121×C₄₇	—	2	4	no	—
336	#121×C₄₇	—	4	2	no	—
337	#121×C₄₇	—	4	2	no	—
338	#121×C₄₇	—	4	2	no	—
339	#121×C₄₇	—	4	2	no	—
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₄₇	—	4	2	no	—
359	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
363	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
369	C₂×D₄×C₄₇	—	2	2	no	—
370	C₂×D₄×C₄₇	—	2	2	no	—
371	C₂×D₄×C₄₇	—	2	2	no	—
372	C₂×D₄×C₄₇	—	2	2	no	—
373	C₂×D₄×C₄₇	—	2	2	no	—
374	C₂×D₄×C₄₇	—	2	2	no	—
375	C₂×D₄×C₄₇	—	2	2	no	—
376	C₂×D₄×C₄₇	—	2	2	no	—
377	C₂×D₄×C₄₇	—	2	2	no	—
378	C₂×D₄×C₄₇	—	2	2	no	—
379	C₂×D₄×C₄₇	—	4	1	no	—
380	C₂×D₄×C₄₇	—	4	1	no	—
381	C₂×D₄×C₄₇	—	4	1	no	—
382	C₂×D₄×C₄₇	—	4	1	no	—
383	C₂×D₄×C₄₇	—	4	1	no	—
384	C₂×D₄×C₄₇	—	4	1	no	—
385	C₂×D₄×C₄₇	—	4	1	no	—
386	C₂×D₄×C₄₇	—	4	1	no	—
387	C₂×D₄×C₄₇	—	4	1	no	—
388	C₂×D₄×C₄₇	—	4	1	no	—
389	C₂×D₄×C₄₇	—	4	1	no	—
390	C₂×D₄×C₄₇	—	4	1	no	—
391	C₂×D₄×C₄₇	—	4	1	no	—
392	C₂×D₄×C₄₇	—	4	1	no	—
393	C₂×D₄×C₄₇	—	4	1	no	—
394	C₂×D₄×C₄₇	—	4	1	no	—
395	C₂×D₄×C₄₇	—	4	1	no	—
396	C₂×D₄×C₄₇	—	4	1	no	—
397	C₂×D₄×C₄₇	—	4	1	no	—
398	C₂×D₄×C₄₇	—	4	1	no	—
399	C₂²×C₄×C₄₇	—	2	2	no	—
400	C₂²×C₄×C₄₇	—	2	2	no	—
401	C₂²×C₄×C₄₇	—	2	2	no	—
402	C₂²×C₄×C₄₇	—	4	1	no	—
403	C₂²×C₄×C₄₇	—	4	1	no	—
404	C₂²×C₄×C₄₇	—	4	1	no	—
405	C₂²×C₄×C₄₇	—	4	1	no	—
406	C₂²×C₄×C₄₇	—	4	1	no	—
407	C₂²×C₄×C₄₇	#41	1	4	yes	—
408	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
418	C₂×C₂²⋊D₄₇	—	2	2	no	—
419	C₂×C₂²⋊D₄₇	—	4	1	no	—
420	C₂×C₂²⋊D₄₇	—	4	1	no	—
421	C₂×C₂²⋊D₄₇	—	4	1	no	—
422	C₂×C₂²⋊D₄₇	—	4	1	no	—
423	C₂×C₂²⋊D₄₇	—	4	1	no	—
424	C₂×C₂²⋊D₄₇	—	4	1	no	—
425	C₂×C₂²⋊D₄₇	—	4	1	no	—
426	C₂×C₂²⋊D₄₇	—	4	1	no	—
427	C₂×C₂²⋊D₄₇	—	4	1	no	—
428	C₂×C₂²⋊D₄₇	—	4	1	no	—
429	C₂×C₂²⋊D₄₇	—	4	1	no	—
430	C₂×C₂²⋊D₄₇	—	4	1	no	—
431	C₂×C₂²⋊D₄₇	—	4	1	no	—
432	C₂×C₂²⋊D₄₇	—	4	1	no	—
433	C₂²×Dic₄₇	—	4	1	no	—
434	C₂²×Dic₄₇	—	4	1	no	—
435	C₂²×Dic₄₇	—	4	1	no	—
436	C₂²×Dic₄₇	—	4	1	no	—
437	C₂²×Dic₄₇	—	4	1	no	—
438	C₂²×Dic₄₇	—	4	1	no	—
439	C₂²×Dic₄₇	—	4	1	no	—
440	C₂²×Dic₄₇	—	4	1	no	—
441	C₂²×Dic₄₇	—	4	1	no	—
442	C₂²×Dic₄₇	—	4	1	no	—
443	C₂²×Dic₄₇	—	4	1	no	—
444	C₂²×Dic₄₇	—	4	1	no	—
445	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
460	C₂×C₄×D₄₇	—	2	2	no	—
461	C₂×C₄×D₄₇	—	4	1	no	—
462	C₂×C₄×D₄₇	—	4	1	no	—
463	C₂×Dic₉₄	—	2	2	no	—
464	C₂×Dic₉₄	—	4	1	no	—
465	C₂×Dic₉₄	—	4	1	no	—
466	C₄⋊C₄×C₄₇	—	2	2	no	—
467	C₄⋊C₄×C₄₇	—	2	2	no	—
468	C₄⋊C₄×C₄₇	—	2	2	no	—
469	C₄⋊C₄×C₄₇	—	2	2	no	—
470	C₄⋊C₄×C₄₇	—	4	1	no	—
471	C₄⋊C₄×C₄₇	—	4	1	no	—
472	C₂²⋊C₄×C₄₇	—	2	2	no	—
473	C₂²⋊C₄×C₄₇	—	2	2	no	—
474	C₂²⋊C₄×C₄₇	—	2	2	no	—
475	C₂²⋊C₄×C₄₇	—	2	2	no	—
476	C₂²⋊C₄×C₄₇	—	2	2	no	—
477	C₂²⋊C₄×C₄₇	—	2	2	no	—
478	C₂²⋊C₄×C₄₇	—	2	2	no	—
479	C₂²⋊C₄×C₄₇	—	2	2	no	—
480	C₂²⋊C₄×C₄₇	—	4	1	no	—
481	C₂²⋊C₄×C₄₇	—	4	1	no	—
482	C₂²⋊C₄×C₄₇	—	4	1	no	—
483	C₂²⋊C₄×C₄₇	—	4	1	no	—
484	C₄²×C₄₇	—	2	2	no	—
485	C₄²×C₄₇	—	2	2	no	—
486	C₄²×C₄₇	—	4	1	no	—
487	C₄²×C₄₇	—	4	1	no	—
488	C₂²⋊Dic₄₇	—	2	2	no	—
489	C₂²⋊Dic₄₇	—	4	1	no	—
490	C₂²⋊Dic₄₇	—	4	1	no	—
491	C₂²⋊Dic₄₇	—	4	1	no	—
492	C₂²⋊Dic₄₇	—	4	1	no	—
493	C₂²⋊Dic₄₇	—	4	1	no	—
494	C₂²⋊Dic₄₇	—	4	1	no	—
495	C₂²⋊Dic₄₇	—	4	1	no	—
496	C₂²⋊Dic₄₇	—	4	1	no	—
497	C₂²⋊Dic₄₇	—	4	1	no	—
498	C₂²⋊Dic₄₇	—	4	1	no	—
499	C₂²⋊Dic₄₇	—	4	1	no	—
500	C₂²⋊Dic₄₇	—	4	1	no	—
501	C₂²⋊Dic₄₇	—	4	1	no	—
502	C₂²⋊Dic₄₇	—	4	1	no	—
503	C₂²⋊Dic₄₇	—	4	1	no	—
504	C₂²⋊Dic₄₇	—	4	1	no	—
505	C₂²⋊Dic₄₇	—	4	1	no	—
506	C₂²⋊Dic₄₇	—	4	1	no	—
507	C₂²⋊Dic₄₇	—	4	1	no	—
508	C₂²⋊Dic₄₇	—	4	1	no	—
509	C₂²⋊Dic₄₇	—	4	1	no	—
510	C₂²⋊Dic₄₇	—	4	1	no	—
511	C₂²⋊Dic₄₇	—	4	1	no	—
512	C₂²⋊Dic₄₇	—	4	1	no	—
513	C₂²⋊Dic₄₇	—	4	1	no	—
514	C₂²⋊Dic₄₇	—	4	1	no	—
515	C₂²⋊Dic₄₇	—	4	1	no	—
516	C₂²⋊Dic₄₇	—	4	1	no	—
517	C₂²⋊Dic₄₇	—	4	1	no	—
518	C₂²⋊Dic₄₇	—	4	1	no	—
519	(C₂×D₄₇)⋊C₄	—	2	2	no	—
520	(C₂×D₄₇)⋊C₄	—	2	2	no	—
521	(C₂×D₄₇)⋊C₄	—	2	2	no	—
522	(C₂×D₄₇)⋊C₄	—	2	2	no	—
523	(C₂×D₄₇)⋊C₄	—	4	1	no	—
524	(C₂×D₄₇)⋊C₄	—	4	1	no	—
525	(C₂×D₄₇)⋊C₄	—	4	1	no	—
526	(C₂×D₄₇)⋊C₄	—	4	1	no	—
527	(C₂×D₄₇)⋊C₄	—	4	1	no	—
528	C₄⋊Dic₄₇	—	2	2	no	—
529	C₄⋊Dic₄₇	—	4	1	no	—
530	C₄⋊Dic₄₇	—	4	1	no	—
531	C₄⋊Dic₄₇	—	4	1	no	—
532	C₄⋊Dic₄₇	—	4	1	no	—
533	C₄⋊Dic₄₇	—	4	1	no	—
534	C₄⋊Dic₄₇	—	4	1	no	—
535	Dic₄₇⋊C₄	—	2	2	no	—
536	Dic₄₇⋊C₄	—	2	2	no	—
537	Dic₄₇⋊C₄	—	2	2	no	—
538	Dic₄₇⋊C₄	—	2	2	no	—
539	Dic₄₇⋊C₄	—	2	2	no	—
540	Dic₄₇⋊C₄	—	2	2	no	—
541	Dic₄₇⋊C₄	—	2	2	no	—
542	Dic₄₇⋊C₄	—	2	2	no	—
543	Dic₄₇⋊C₄	—	4	1	no	—
544	Dic₄₇⋊C₄	—	4	1	no	—
545	Dic₄₇⋊C₄	—	4	1	no	—
546	Dic₄₇⋊C₄	—	4	1	no	—
547	Dic₄₇⋊C₄	—	4	1	no	—
548	Dic₄₇⋊C₄	—	4	1	no	—
549	Dic₄₇⋊C₄	—	4	1	no	—
550	C₄×Dic₄₇	—	2	2	no	—
551	C₄×Dic₄₇	—	4	1	no	—
552	C₄×Dic₄₇	—	4	1	no	—
553	C₄×Dic₄₇	—	4	1	no	—
554	C₄×Dic₄₇	—	4	1	no	—
555	C₄×Dic₄₇	—	4	1	no	—
556	C₄×Dic₄₇	—	4	1	no	—
557	C₂³×C₄₇	—	2	1	no	—
558	C₂³×C₄₇	—	2	1	no	—
559	C₂³×C₄₇	—	2	1	no	—
560	C₂³×C₄₇	—	2	1	no	—
561	C₂³×C₄₇	—	2	1	no	—
562	C₂³×C₄₇	—	2	1	no	—
563	C₂³×C₄₇	—	2	1	no	—
564	C₂³×C₄₇	—	2	1	no	—
565	C₂³×C₄₇	—	2	1	no	—
566	C₂³×C₄₇	—	2	1	no	—
567	C₂³×C₄₇	—	2	1	no	—
568	C₂³×C₄₇	—	2	1	no	—
569	C₂³×C₄₇	—	2	1	no	—
570	C₂³×C₄₇	—	2	1	no	—
571	C₂³×C₄₇	—	2	1	no	—
572	C₂³×C₄₇	—	2	1	no	—
573	C₂³×C₄₇	—	2	1	no	—
574	C₂³×C₄₇	—	2	1	no	—
575	C₂³×C₄₇	—	2	1	no	—
576	C₂³×C₄₇	—	2	1	no	—
577	C₂³×C₄₇	—	2	1	no	—
578	C₂³×C₄₇	—	2	1	no	—
579	C₂³×C₄₇	—	2	1	no	—
580	C₂³×C₄₇	—	2	1	no	—
581	C₂³×C₄₇	—	2	1	no	—
582	C₂³×C₄₇	—	2	1	no	—
583	C₂³×C₄₇	—	2	1	no	—
584	C₂³×C₄₇	—	2	1	no	—
585	C₂³×C₄₇	—	2	1	no	—
586	C₂³×C₄₇	—	2	1	no	—
587	C₂³×C₄₇	—	2	1	no	—
588	C₂³×C₄₇	—	2	1	no	—
589	C₂³×C₄₇	—	2	1	no	—
590	C₂³×C₄₇	—	2	1	no	—
591	C₂³×C₄₇	C₂×#41	1	2	yes	—
592	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
593	C₂²×D₄₇	—	2	1	no	—
594	C₂²×D₄₇	—	2	1	no	—
595	C₂²×D₄₇	—	2	1	no	—
596	C₂²×D₄₇	—	2	1	no	—
597	C₂²×D₄₇	—	2	1	no	—
598	C₂²×D₄₇	—	2	1	no	—
599	C₂²×D₄₇	—	2	1	no	—
600	D₄×C₄₇	—	8	2	no	—
601	D₄×C₄₇	—	8	2	no	—
602	D₄×C₄₇	—	8	2	no	—
603	D₄×C₄₇	—	8	2	no	—
604	D₄×C₄₇	—	8	2	no	—
605	D₄×C₄₇	—	8	2	no	—
606	D₄×C₄₇	—	8	2	no	—
607	D₄×C₄₇	—	8	2	no	—
608	D₄×C₄₇	—	8	2	no	—
609	D₄×C₄₇	—	8	2	no	—
610	C₂×C₄×C₄₇	—	2	1	no	—
611	C₂×C₄×C₄₇	—	2	1	no	—
612	C₂×C₄×C₄₇	—	2	1	no	—
613	C₂×C₄×C₄₇	—	2	1	no	—
614	C₂×C₄×C₄₇	—	2	1	no	—
615	C₂×C₄×C₄₇	—	2	1	no	—
616	C₂×C₄×C₄₇	—	2	1	no	—
617	C₂×C₄×C₄₇	—	2	1	no	—
618	C₂×C₄×C₄₇	—	2	1	no	—
619	C₂×C₄×C₄₇	—	2	1	no	—
620	C₂×C₄×C₄₇	—	2	1	no	—
621	C₂×C₄×C₄₇	—	2	1	no	—
622	C₂×C₄×C₄₇	—	2	1	no	—
623	C₂×C₄×C₄₇	—	2	1	no	—
624	C₂×C₄×C₄₇	—	2	1	no	—
625	C₂×C₄×C₄₇	—	2	1	no	—
626	C₂×C₄×C₄₇	—	2	1	no	—
627	C₂×C₄×C₄₇	—	2	1	no	—
628	C₂×C₄×C₄₇	—	2	1	no	—
629	C₂×C₄×C₄₇	—	2	1	no	—
630	C₂×C₄×C₄₇	—	2	1	no	—
631	C₂×C₄×C₄₇	—	2	1	no	—
632	C₂×C₄×C₄₇	—	2	1	no	—
633	C₂×C₄×C₄₇	—	2	1	no	—
634	C₂×C₄×C₄₇	—	2	1	no	—
635	C₂×C₄×C₄₇	—	4	4	no	—
636	C₂×C₄×C₄₇	—	4	4	no	—
637	C₂×C₄×C₄₇	—	4	4	no	—
638	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
639	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
640	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
641	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
642	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
643	C₂²⋊D₄₇	—	4	4	no	—
644	C₂²⋊D₄₇	—	8	2	no	—
645	C₂²⋊D₄₇	—	8	2	no	—
646	C₂²⋊D₄₇	—	8	2	no	—
647	C₂²⋊D₄₇	—	8	2	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	—	2	1	no	—
654	C₂×Dic₄₇	—	2	1	no	—
655	C₂×Dic₄₇	—	2	1	no	—
656	C₂×Dic₄₇	—	2	1	no	—
657	C₂×Dic₄₇	—	2	1	no	—
658	C₂×Dic₄₇	—	2	1	no	—
659	C₂×Dic₄₇	—	2	1	no	—
660	C₂×Dic₄₇	—	2	1	no	—
661	C₂×Dic₄₇	—	2	1	no	—
662	C₂×Dic₄₇	—	2	1	no	—
663	C₂×Dic₄₇	—	2	1	no	—
664	C₂×Dic₄₇	—	2	1	no	—
665	C₂×Dic₄₇	—	2	1	no	—
666	C₂×Dic₄₇	—	2	1	no	—
667	C₂×Dic₄₇	—	2	1	no	—
668	C₂×Dic₄₇	—	2	1	no	—
669	C₂×Dic₄₇	—	2	1	no	—
670	C₂×Dic₄₇	—	2	1	no	—
671	C₂×Dic₄₇	—	2	1	no	—
672	C₂×Dic₄₇	—	2	1	no	—
673	C₂×Dic₄₇	—	2	1	no	—
674	C₂×Dic₄₇	—	2	1	no	—
675	C₂×Dic₄₇	—	2	1	no	—
676	C₂×Dic₄₇	—	2	1	no	—
677	C₂×Dic₄₇	—	2	1	no	—
678	C₂×Dic₄₇	—	2	1	no	—
679	C₂×Dic₄₇	—	2	1	no	—
680	C₂×Dic₄₇	—	2	1	no	—
681	C₂×Dic₄₇	—	2	1	no	—
682	C₂×Dic₄₇	—	2	1	no	—
683	C₂×Dic₄₇	—	2	1	no	—
684	C₂×Dic₄₇	—	2	1	no	—
685	C₂×Dic₄₇	—	2	1	no	—
686	C₂×Dic₄₇	—	2	1	no	—
687	C₂×Dic₄₇	—	2	1	no	—
688	C₂×Dic₄₇	—	2	1	no	—
689	C₂×Dic₄₇	—	2	1	no	—
690	C₂×Dic₄₇	—	2	1	no	—
691	C₂×Dic₄₇	—	2	1	no	—
692	C₂×Dic₄₇	—	2	1	no	—
693	C₂×Dic₄₇	—	8	2	no	—
694	C₂×Dic₄₇	—	8	2	no	—
695	C₂×Dic₄₇	—	8	2	no	—
696	C₂×Dic₄₇	—	8	2	no	—
697	C₄×D₄₇	—	4	4	no	—
698	Dic₉₄	—	8	2	no	—
699	#36771	—	47	1	no	maximal, Sylow
700	C₂²×C₄₇	—	2	2	no	—
701	C₂²×C₄₇	—	2	2	no	—
702	C₂²×C₄₇	—	2	2	no	—
703	C₂²×C₄₇	—	4	1	no	—
704	C₂²×C₄₇	—	4	1	no	—
705	C₂²×C₄₇	—	4	1	no	—
706	C₂²×C₄₇	—	4	1	no	—
707	C₂²×C₄₇	—	4	1	no	—
708	C₂²×C₄₇	—	4	1	no	—
709	C₂²×C₄₇	—	4	1	no	—
710	C₂²×C₄₇	—	4	1	no	—
711	C₂²×C₄₇	—	4	1	no	—
712	C₂²×C₄₇	—	4	1	no	—
713	C₂²×C₄₇	—	4	1	no	—
714	C₂²×C₄₇	—	4	1	no	—
715	C₂²×C₄₇	—	4	1	no	—
716	C₂²×C₄₇	—	4	1	no	—
717	C₂²×C₄₇	—	4	1	no	—
718	C₂²×C₄₇	—	4	1	no	—
719	C₂²×C₄₇	—	4	1	no	—
720	C₂²×C₄₇	—	4	1	no	—
721	C₂²×C₄₇	—	4	1	no	—
722	C₂²×C₄₇	—	4	1	no	—
723	C₂²×C₄₇	—	4	1	no	—
724	C₂²×C₄₇	—	4	1	no	—
725	C₂²×C₄₇	—	4	1	no	—
726	C₂²×C₄₇	—	4	1	no	—
727	C₂²×C₄₇	—	4	1	no	—
728	C₂²×C₄₇	—	4	1	no	—
729	C₂²×C₄₇	—	4	1	no	—
730	C₂²×C₄₇	—	4	1	no	—
731	C₂²×C₄₇	—	4	1	no	—
732	C₂²×C₄₇	—	4	1	no	—
733	C₂²×C₄₇	—	4	1	no	—
734	C₂²×C₄₇	—	4	1	no	—
735	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
736	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
737	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
739	C₂²×C₄₇	#585	1	1	yes	characteristic
740	C₂²×C₄₇	#585	1	1	yes	characteristic
741	C₂²×C₄₇	#585	1	1	yes	characteristic
742	C₂×D₄₇	—	4	1	no	—
743	C₂×D₄₇	—	4	1	no	—
744	C₂×D₄₇	—	4	1	no	—
745	C₂×D₄₇	—	4	1	no	—
746	C₂×D₄₇	—	4	1	no	—
747	C₂×D₄₇	—	4	1	no	—
748	C₂×D₄₇	—	4	1	no	—
749	C₄×C₄₇	—	2	2	no	—
750	C₄×C₄₇	—	2	2	no	—
751	C₄×C₄₇	—	2	2	no	—
752	C₄×C₄₇	—	2	2	no	—
753	C₄×C₄₇	—	2	2	no	—
754	C₄×C₄₇	—	4	1	no	—
755	C₄×C₄₇	—	4	1	no	—
756	C₄×C₄₇	—	4	1	no	—
757	C₄×C₄₇	—	4	1	no	—
758	C₄×C₄₇	—	4	1	no	—
759	Dic₄₇	—	4	1	no	—
760	Dic₄₇	—	4	1	no	—
761	Dic₄₇	—	4	1	no	—
762	Dic₄₇	—	4	1	no	—
763	Dic₄₇	—	4	1	no	—
764	Dic₄₇	—	4	1	no	—
765	Dic₄₇	—	4	1	no	—
766	Dic₄₇	—	4	1	no	—
767	Dic₄₇	—	4	1	no	—
768	Dic₄₇	—	4	1	no	—
769	Dic₄₇	—	4	1	no	—
770	Dic₄₇	—	4	1	no	—
771	Dic₄₇	—	4	1	no	—
772	Dic₄₇	—	4	1	no	—
773	Dic₄₇	—	4	1	no	—
774	#2856	D₄₇	1	1	yes	characteristic, complemented
775	#2855	—	47	1	no	—
776	#2796	—	47	1	no	—
777	#2794	—	47	1	no	—
778	#2751	—	47	1	no	—
779	#2730	—	47	1	no	—
780	#2721	—	47	1	no	—
781	#2714	—	47	1	no	—
782	#2711	—	47	1	no	—
783	#2709	—	47	1	no	—
784	#2708	—	47	1	no	—
785	#2705	—	47	1	no	—
786	#2703	—	47	1	no	—
787	#2691	—	47	1	no	—
788	#2688	—	47	1	no	—
789	#2681	—	47	1	no	—
790	#2676	—	47	1	no	—
791	#2673	—	47	1	no	—
792	#2635	—	47	1	no	—
793	#2635	—	47	1	no	—
794	#2560	—	47	1	no	—
795	#2559	—	47	1	no	—
796	#2558	—	47	1	no	—
797	#2557	—	47	1	no	—
798	#2531	—	47	1	no	—
799	#2526	—	47	1	no	—
800	#2476	—	47	1	no	—
801	#2471	—	47	1	no	—
802	#2333	—	47	1	no	—
803	#2333	—	47	1	no	—
804	#2290	—	47	1	no	—
805	C₂×C₄₇	—	4	2	no	—
806	C₂×C₄₇	—	8	1	no	—
807	C₂×C₄₇	—	8	1	no	—
808	C₂×C₄₇	—	8	1	no	—
809	C₂×C₄₇	—	8	1	no	—
810	C₂×C₄₇	#3455	1	1	yes	characteristic
811	C₂×C₄₇	#3505	1	1	yes	characteristic
812	C₂×C₄₇	#3508	1	1	yes	characteristic
813	C₂×C₄₇	#3534	1	1	yes	characteristic
814	C₂×C₄₇	#3542	1	1	yes	characteristic
815	C₂×C₄₇	#3551	1	1	yes	characteristic
816	C₂×C₄₇	#3562	1	1	yes	characteristic
817	D₄₇	—	8	1	no	—
818	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
819	C₂×#126	—	47	1	no	—
820	C₂×#126	—	47	1	no	—
821	C₂×#125	—	47	1	no	—
822	C₂×#124	—	47	1	no	—
823	C₂×#123	—	47	1	no	—
824	C₂×#123	—	47	1	no	—
825	C₂×#123	—	47	1	no	—
826	C₂×C₂²⋊Q₈	—	47	1	no	—
827	C₂×C₂²⋊Q₈	—	47	1	no	—
828	C₂×#121	—	47	1	no	—
829	C₂×#121	—	47	1	no	—
830	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
831	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
832	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
833	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
834	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
835	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
836	C₂×C₄×D₄	—	47	1	no	—
837	C₂×#117	—	47	1	no	—
838	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
839	#400	—	47	1	no	—
840	#400	—	47	1	no	—
841	#400	—	47	1	no	—
842	#400	—	47	1	no	—
843	#400	—	47	1	no	—
844	#399	—	47	1	no	—
845	#399	—	47	1	no	—
846	#399	—	47	1	no	—
847	#398	—	47	1	no	—
848	#398	—	47	1	no	—
849	#398	—	47	1	no	—
850	#397	—	47	1	no	—
851	#397	—	47	1	no	—
852	#397	—	47	1	no	—
853	#397	—	47	1	no	—
854	#397	—	47	1	no	—
855	#397	—	47	1	no	—
856	#397	—	47	1	no	—
857	#396	—	47	1	no	—
858	#396	—	47	1	no	—
859	#396	—	47	1	no	—
860	#396	—	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	—	47	1	no	—
871	#394	—	47	1	no	—
872	#394	—	47	1	no	—
873	#394	—	47	1	no	—
874	#394	—	47	1	no	—
875	#394	—	47	1	no	—
876	#394	—	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	#391	—	47	1	no	—
888	#391	—	47	1	no	—
889	#390	—	47	1	no	—
890	#390	—	47	1	no	—
891	#390	—	47	1	no	—
892	#390	—	47	1	no	—
893	#390	—	47	1	no	—
894	#390	C₂×D₄₇	1	1	yes	characteristic
895	#390	C₂×D₄₇	1	1	yes	characteristic
896	#390	C₂×D₄₇	1	1	yes	characteristic
897	#390	C₂×D₄₇	1	1	yes	characteristic
898	#390	C₂×D₄₇	1	1	yes	characteristic
899	#390	C₂×D₄₇	1	1	yes	characteristic
900	#389	—	47	1	no	—
901	#389	—	47	1	no	—
902	#389	—	47	1	no	—
903	#388	—	47	1	no	—
904	#388	—	47	1	no	—
905	#388	—	47	1	no	—
906	#388	—	47	1	no	—
907	#388	—	47	1	no	—
908	#388	—	47	1	no	—
909	#388	—	47	1	no	—
910	#388	—	47	1	no	—
911	#388	—	47	1	no	—
912	#388	—	47	1	no	—
913	#388	—	47	1	no	—
914	#388	—	47	1	no	—
915	#388	—	47	1	no	—
916	#388	—	47	1	no	—
917	#388	—	47	1	no	—
918	#388	—	47	1	no	—
919	#387	—	47	1	no	—
920	#387	—	47	1	no	—
921	#387	—	47	1	no	—
922	#387	—	47	1	no	—
923	#387	—	47	1	no	—
924	#387	—	47	1	no	—
925	#387	—	47	1	no	—
926	#387	—	47	1	no	—
927	#387	—	47	1	no	—
928	#387	—	47	1	no	—
929	#387	—	47	1	no	—
930	#387	—	47	1	no	—
931	#387	—	47	1	no	—
932	#387	—	47	1	no	—
933	#386	—	47	1	no	—
934	#386	—	47	1	no	—
935	#386	—	47	1	no	—
936	#386	—	47	1	no	—
937	#386	—	47	1	no	—
938	#386	—	47	1	no	—
939	#386	—	47	1	no	—
940	#386	—	47	1	no	—
941	#386	—	47	1	no	—
942	#386	—	47	1	no	—
943	#386	—	47	1	no	—
944	#386	—	47	1	no	—
945	#386	—	47	1	no	—
946	#386	—	47	1	no	—
947	#386	—	47	1	no	—
948	#386	—	47	1	no	—
949	#386	—	47	1	no	—
950	#386	—	47	1	no	—
951	#386	—	47	1	no	—
952	#385	—	47	1	no	—
953	#385	—	47	1	no	—
954	#385	—	47	1	no	—
955	#385	—	47	1	no	—
956	#385	—	47	1	no	—
957	#385	—	47	1	no	—
958	#385	—	47	1	no	—
959	#384	C₂×D₄₇	1	1	yes	characteristic
960	#381	—	47	1	no	—
961	#381	—	47	1	no	—
962	#381	—	47	1	no	—
963	#380	—	47	1	no	—
964	#380	—	47	1	no	—
965	C₄×C₄⋊C₄	—	47	1	no	—
966	C₄×C₂²⋊C₄	—	47	1	no	—
967	C₄×C₂²⋊C₄	—	47	1	no	—
968	C₄×C₂²⋊C₄	—	47	1	no	—
969	C₄×C₂²⋊C₄	—	47	1	no	—
970	C₄×C₂²⋊C₄	—	47	1	no	—
971	C₄×C₂²⋊C₄	—	47	1	no	—
972	#376	—	47	1	no	—
973	C₄₇	#36771	1	1	yes	characteristic, complemented, Sylow
974	C₂²×Q₈	—	47	1	no	—
975	C₂²×D₄	—	47	1	no	—
976	C₂²×D₄	—	47	1	no	—
977	C₂²×D₄	—	47	1	no	—
978	C₂²×D₄	—	47	1	no	—
979	C₂²×D₄	—	47	1	no	—
980	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
981	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
982	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
983	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
984	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
985	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
986	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
987	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
988	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
989	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
990	C₂³×C₄	—	47	1	no	—
991	C₂³×C₄	—	47	1	no	—
992	C₂³×C₄	—	47	1	no	—
993	C₂³×C₄	—	47	1	no	—
994	C₂³×C₄	—	47	1	no	—
995	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
996	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
997	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
998	#127	—	4	2	no	—
999	#126	—	188	2	no	—
1000	#126	—	188	2	no	—
1001	#125	—	188	2	no	—
1002	#124	—	188	2	no	—
1003	#123	—	188	2	no	—
1004	#123	—	188	2	no	—
1005	#123	—	188	2	no	—
1006	C₂²⋊Q₈	—	188	2	no	—
1007	C₂²⋊Q₈	—	188	2	no	—
1008	#121	—	2	4	no	—
1009	#121	—	2	4	no	—
1010	#121	—	4	2	no	—
1011	#121	—	4	2	no	—
1012	#121	—	4	2	no	—
1013	#121	—	4	2	no	—
1014	#121	—	188	2	no	—
1015	#121	—	188	2	no	—
1016	C₄×D₄	—	94	4	no	—
1017	#117	—	188	2	no	—
1018	C₂×C₄⋊C₄	—	47	1	no	—
1019	C₂×C₄⋊C₄	—	47	1	no	—
1020	C₂×C₄⋊C₄	—	47	1	no	—
1021	C₂×C₄⋊C₄	—	47	1	no	—
1022	C₂×C₄⋊C₄	—	47	1	no	—
1023	C₂×C₄⋊C₄	—	47	1	no	—
1024	C₂×C₄⋊C₄	—	47	1	no	—
1025	C₂×C₄⋊C₄	—	47	1	no	—
1026	C₂×C₄⋊C₄	—	47	1	no	—
1027	C₂×C₄⋊C₄	—	47	1	no	—
1028	C₂×C₄⋊C₄	—	47	1	no	—
1029	C₂×C₄⋊C₄	—	47	1	no	—
1030	C₂×C₄⋊C₄	—	47	1	no	—
1031	C₂×C₄⋊C₄	—	47	1	no	—
1032	C₂×C₄⋊C₄	—	47	1	no	—
1033	C₂×C₄⋊C₄	—	47	1	no	—
1034	C₂×C₄⋊C₄	—	47	1	no	—
1035	C₂×C₄⋊C₄	—	47	1	no	—
1036	C₂×C₄⋊C₄	—	47	1	no	—
1037	C₂×C₄⋊C₄	—	47	1	no	—
1038	C₂×C₄⋊C₄	—	47	1	no	—
1039	C₂×C₄⋊C₄	—	47	1	no	—
1040	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	—	47	1	no	—
1047	C₂×C₂²⋊C₄	—	47	1	no	—
1048	C₂×C₂²⋊C₄	—	47	1	no	—
1049	C₂×C₂²⋊C₄	—	47	1	no	—
1050	C₂×C₂²⋊C₄	—	47	1	no	—
1051	C₂×C₂²⋊C₄	—	47	1	no	—
1052	C₂×C₂²⋊C₄	—	47	1	no	—
1053	C₂×C₂²⋊C₄	—	47	1	no	—
1054	C₂×C₂²⋊C₄	—	47	1	no	—
1055	C₂×C₂²⋊C₄	—	47	1	no	—
1056	C₂×C₂²⋊C₄	—	47	1	no	—
1057	C₂×C₂²⋊C₄	—	47	1	no	—
1058	C₂×C₂²⋊C₄	—	47	1	no	—
1059	C₂×C₂²⋊C₄	—	47	1	no	—
1060	C₂×C₂²⋊C₄	—	47	1	no	—
1061	C₂×C₂²⋊C₄	—	47	1	no	—
1062	C₂×C₂²⋊C₄	—	47	1	no	—
1063	C₂×C₂²⋊C₄	—	47	1	no	—
1064	C₂×C₂²⋊C₄	—	47	1	no	—
1065	C₂×C₂²⋊C₄	—	47	1	no	—
1066	C₂×C₂²⋊C₄	—	47	1	no	—
1067	C₂×C₂²⋊C₄	—	47	1	no	—
1068	C₂×C₂²⋊C₄	—	47	1	no	—
1069	C₂×C₂²⋊C₄	—	47	1	no	—
1070	C₂×C₂²⋊C₄	—	47	1	no	—
1071	C₂×C₂²⋊C₄	—	47	1	no	—
1072	C₂×C₂²⋊C₄	—	47	1	no	—
1073	C₂×C₂²⋊C₄	—	47	1	no	—
1074	C₂×C₂²⋊C₄	—	47	1	no	—
1075	C₂×C₂²⋊C₄	—	47	1	no	—
1076	C₂×C₂²⋊C₄	—	47	1	no	—
1077	C₂×C₂²⋊C₄	—	47	1	no	—
1078	C₂×C₂²⋊C₄	—	47	1	no	—
1079	C₂×C₂²⋊C₄	—	47	1	no	—
1080	C₂×C₂²⋊C₄	—	47	1	no	—
1081	C₂×C₂²⋊C₄	—	47	1	no	—
1082	C₂×C₂²⋊C₄	—	47	1	no	—
1083	C₂×C₂²⋊C₄	—	47	1	no	—
1084	C₂×C₂²⋊C₄	—	47	1	no	—
1085	C₂×C₂²⋊C₄	—	47	1	no	—
1086	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1098	C₂×C₄²	—	4	2	no	—
1099	C₂×C₄²	—	47	1	no	—
1100	C₂×C₄²	—	47	1	no	—
1101	C₂×C₄²	—	47	1	no	—
1102	C₂×C₄²	—	47	1	no	—
1103	C₂×C₄²	—	47	1	no	—
1104	C₂×C₄²	—	47	1	no	—
1105	C₂×C₄²	—	47	1	no	—
1106	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1107	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1108	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1109	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1110	#95	—	47	1	no	—
1111	#95	—	47	1	no	—
1112	#95	—	47	1	no	—
1113	#95	—	47	1	no	—
1114	#95	—	47	1	no	—
1115	#95	—	47	1	no	—
1116	#95	—	47	1	no	—
1117	#95	—	47	1	no	—
1118	#95	—	47	1	no	—
1119	#95	—	47	1	no	—
1120	#95	—	47	1	no	—
1121	#95	—	47	1	no	—
1122	#95	—	47	1	no	—
1123	#95	—	47	1	no	—
1124	#95	—	47	1	no	—
1125	#95	—	47	1	no	—
1126	#95	—	47	1	no	—
1127	#95	—	47	1	no	—
1128	#95	—	47	1	no	—
1129	#95	—	47	1	no	—
1130	#95	—	47	1	no	—
1131	#95	—	47	1	no	—
1132	#95	—	47	1	no	—
1133	#95	—	47	1	no	—
1134	#95	—	47	1	no	—
1135	#95	—	47	1	no	—
1136	#95	—	47	1	no	—
1137	#95	—	47	1	no	—
1138	#95	—	47	1	no	—
1139	#95	—	47	1	no	—
1140	#95	—	47	1	no	—
1141	#95	—	47	1	no	—
1142	#95	—	47	1	no	—
1143	#95	—	47	1	no	—
1144	#95	—	47	1	no	—
1145	#95	—	47	1	no	—
1146	#95	—	47	1	no	—
1147	#95	—	47	1	no	—
1148	#95	—	47	1	no	—
1149	#95	—	47	1	no	—
1150	C₂⁴	—	47	1	no	—
1151	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1152	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1153	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1154	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1155	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1156	C₂×Q₈	—	94	2	no	—
1157	C₂×Q₈	—	188	1	no	—
1158	C₂×Q₈	—	188	1	no	—
1159	C₂×D₄	—	2	2	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	2	no	—
1162	C₂×D₄	—	2	2	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	2	no	—
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	4	1	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	94	2	no	—
1190	C₂×D₄	—	188	1	no	—
1191	C₂×D₄	—	188	1	no	—
1192	C₂×D₄	—	188	1	no	—
1193	C₂×D₄	—	188	1	no	—
1194	C₂×D₄	—	188	1	no	—
1195	C₂×D₄	—	188	1	no	—
1196	C₂×D₄	—	188	1	no	—
1197	C₂×D₄	—	188	1	no	—
1198	C₂×D₄	—	188	1	no	—
1199	C₂×D₄	—	188	1	no	—
1200	C₂×D₄	—	188	1	no	—
1201	C₂×D₄	—	188	1	no	—
1202	C₂×D₄	—	188	1	no	—
1203	C₂×D₄	—	188	1	no	—
1204	C₂²×C₄	—	2	2	no	—
1205	C₂²×C₄	—	2	2	no	—
1206	C₂²×C₄	—	2	2	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	47	1	no	—
1213	C₂²×C₄	—	47	1	no	—
1214	C₂²×C₄	—	47	1	no	—
1215	C₂²×C₄	—	47	1	no	—
1216	C₂²×C₄	—	47	1	no	—
1217	C₂²×C₄	—	47	1	no	—
1218	C₂²×C₄	—	47	1	no	—
1219	C₂²×C₄	—	47	1	no	—
1220	C₂²×C₄	—	47	1	no	—
1221	C₂²×C₄	—	47	1	no	—
1222	C₂²×C₄	—	47	1	no	—
1223	C₂²×C₄	—	47	1	no	—
1224	C₂²×C₄	—	47	1	no	—
1225	C₂²×C₄	—	47	1	no	—
1226	C₂²×C₄	—	47	1	no	—
1227	C₂²×C₄	—	94	2	no	—
1228	C₂²×C₄	—	188	1	no	—
1229	C₂²×C₄	—	188	1	no	—
1230	C₂²×C₄	—	188	1	no	—
1231	C₂²×C₄	—	188	1	no	—
1232	C₂²×C₄	—	188	1	no	—
1233	C₂²×C₄	—	188	1	no	—
1234	C₂²×C₄	—	188	1	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	#10625352	1	4	yes	—
1243	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	94	2	no	—
1260	C₄⋊C₄	—	94	2	no	—
1261	C₄⋊C₄	—	94	2	no	—
1262	C₄⋊C₄	—	94	2	no	—
1263	C₄⋊C₄	—	94	2	no	—
1264	C₄⋊C₄	—	94	2	no	—
1265	C₄⋊C₄	—	94	2	no	—
1266	C₄⋊C₄	—	94	2	no	—
1267	C₄⋊C₄	—	94	2	no	—
1268	C₄⋊C₄	—	188	1	no	—
1269	C₄⋊C₄	—	188	1	no	—
1270	C₄⋊C₄	—	188	1	no	—
1271	C₄⋊C₄	—	188	1	no	—
1272	C₄⋊C₄	—	188	1	no	—
1273	C₄⋊C₄	—	188	1	no	—
1274	C₄⋊C₄	—	188	1	no	—
1275	C₄⋊C₄	—	188	1	no	—
1276	C₄⋊C₄	—	188	1	no	—
1277	C₄⋊C₄	—	188	1	no	—
1278	C₄⋊C₄	—	188	1	no	—
1279	C₄⋊C₄	—	188	1	no	—
1280	C₄⋊C₄	—	188	1	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	94	2	no	—
1294	C₂²⋊C₄	—	94	2	no	—
1295	C₂²⋊C₄	—	94	2	no	—
1296	C₂²⋊C₄	—	94	2	no	—
1297	C₂²⋊C₄	—	94	2	no	—
1298	C₂²⋊C₄	—	188	1	no	—
1299	C₂²⋊C₄	—	188	1	no	—
1300	C₂²⋊C₄	—	188	1	no	—
1301	C₂²⋊C₄	—	188	1	no	—
1302	C₂²⋊C₄	—	188	1	no	—
1303	C₂²⋊C₄	—	188	1	no	—
1304	C₂²⋊C₄	—	188	1	no	—
1305	C₂²⋊C₄	—	188	1	no	—
1306	C₂²⋊C₄	—	188	1	no	—
1307	C₂²⋊C₄	—	188	1	no	—
1308	C₂²⋊C₄	—	188	1	no	—
1309	C₂²⋊C₄	—	188	1	no	—
1310	C₂²⋊C₄	—	188	1	no	—
1311	C₂²⋊C₄	—	188	1	no	—
1312	C₂²⋊C₄	—	188	1	no	—
1313	C₂²⋊C₄	—	188	1	no	—
1314	C₂²⋊C₄	—	188	1	no	—
1315	C₂²⋊C₄	—	188	1	no	—
1316	C₂²⋊C₄	—	188	1	no	—
1317	C₂²⋊C₄	—	188	1	no	—
1318	C₂²⋊C₄	—	188	1	no	—
1319	C₂²⋊C₄	—	188	1	no	—
1320	C₂²⋊C₄	—	188	1	no	—
1321	C₂²⋊C₄	—	188	1	no	—
1322	C₂²⋊C₄	—	188	1	no	—
1323	C₂²⋊C₄	—	188	1	no	—
1324	C₂²⋊C₄	—	188	1	no	—
1325	C₂²⋊C₄	—	188	1	no	—
1326	C₂²⋊C₄	—	188	1	no	—
1327	C₂²⋊C₄	—	188	1	no	—
1328	C₂²⋊C₄	—	188	1	no	—
1329	C₂²⋊C₄	—	188	1	no	—
1330	C₂²⋊C₄	—	188	1	no	—
1331	C₂²⋊C₄	—	188	1	no	—
1332	C₂²⋊C₄	—	188	1	no	—
1333	C₄²	—	2	2	no	—
1334	C₄²	—	2	2	no	—
1335	C₄²	—	4	1	no	—
1336	C₄²	—	4	1	no	—
1337	C₄²	—	94	2	no	—
1338	C₄²	—	188	1	no	—
1339	C₄²	—	188	1	no	—
1340	C₄²	—	188	1	no	—
1341	C₄²	—	188	1	no	—
1342	C₄²	—	188	1	no	—
1343	C₄²	—	188	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	94	1	no	—
1379	C₂³	—	94	1	no	—
1380	C₂³	—	94	1	no	—
1381	C₂³	—	94	1	no	—
1382	C₂³	—	94	1	no	—
1383	C₂³	—	94	1	no	—
1384	C₂³	—	94	1	no	—
1385	C₂³	C₂×#10625352	1	2	yes	—
1386	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1387	Q₈	—	376	2	no	—
1388	D₄	—	8	2	no	—
1389	D₄	—	8	2	no	—
1390	D₄	—	8	2	no	—
1391	D₄	—	8	2	no	—
1392	D₄	—	8	2	no	—
1393	D₄	—	8	2	no	—
1394	D₄	—	8	2	no	—
1395	D₄	—	8	2	no	—
1396	D₄	—	8	2	no	—
1397	D₄	—	8	2	no	—
1398	D₄	—	376	2	no	—
1399	D₄	—	376	2	no	—
1400	D₄	—	376	2	no	—
1401	D₄	—	376	2	no	—
1402	D₄	—	188	4	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	4	4	no	—
1429	C₂×C₄	—	4	4	no	—
1430	C₂×C₄	—	4	4	no	—
1431	C₂×C₄	—	94	1	no	—
1432	C₂×C₄	—	94	1	no	—
1433	C₂×C₄	—	94	1	no	—
1434	C₂×C₄	—	94	1	no	—
1435	C₂×C₄	—	94	1	no	—
1436	C₂×C₄	—	94	1	no	—
1437	C₂×C₄	—	94	1	no	—
1438	C₂×C₄	—	94	1	no	—
1439	C₂×C₄	—	94	1	no	—
1440	C₂×C₄	—	94	1	no	—
1441	C₂×C₄	—	94	1	no	—
1442	C₂×C₄	—	94	1	no	—
1443	C₂×C₄	—	94	1	no	—
1444	C₂×C₄	—	94	1	no	—
1445	C₂×C₄	—	94	1	no	—
1446	C₂×C₄	—	94	1	no	—
1447	C₂×C₄	—	94	1	no	—
1448	C₂×C₄	—	94	1	no	—
1449	C₂×C₄	—	94	1	no	—
1450	C₂×C₄	—	94	1	no	—
1451	C₂×C₄	—	94	1	no	—
1452	C₂×C₄	—	94	1	no	—
1453	C₂×C₄	—	94	1	no	—
1454	C₂×C₄	—	94	1	no	—
1455	C₂×C₄	—	94	1	no	—
1456	C₂×C₄	—	94	1	no	—
1457	C₂×C₄	—	94	1	no	—
1458	C₂×C₄	—	94	1	no	—
1459	C₂×C₄	—	94	1	no	—
1460	C₂×C₄	—	94	1	no	—
1461	C₂×C₄	—	94	1	no	—
1462	C₂×C₄	—	94	1	no	—
1463	C₂×C₄	—	94	1	no	—
1464	C₂×C₄	—	94	1	no	—
1465	C₂×C₄	—	94	1	no	—
1466	C₂×C₄	—	94	1	no	—
1467	C₂×C₄	—	94	1	no	—
1468	C₂×C₄	—	94	1	no	—
1469	C₂×C₄	—	94	1	no	—
1470	C₂×C₄	—	94	1	no	—
1471	C₂×C₄	—	94	1	no	—
1472	C₂×C₄	—	94	1	no	—
1473	C₂×C₄	—	94	1	no	—
1474	C₂×C₄	—	94	1	no	—
1475	C₂×C₄	—	94	1	no	—
1476	C₂×C₄	—	376	2	no	—
1477	C₂×C₄	—	376	2	no	—
1478	C₂×C₄	—	376	2	no	—
1479	C₂×C₄	—	376	2	no	—
1480	C₂×C₄	—	188	4	no	—
1481	C₂×C₄	C₂×#10625352	1	2	yes	—
1482	C₂×C₄	C₂×#10625352	1	2	yes	—
1483	C₂×C₄	#13094069	1	2	yes	—
1484	C₂×C₄	#13094069	1	2	yes	—
1485	C₂×C₄	#13094069	1	2	yes	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	188	1	no	—
1522	C₂²	—	188	1	no	—
1523	C₂²	—	188	1	no	—
1524	C₂²	—	188	1	no	—
1525	C₂²	—	188	1	no	—
1526	C₂²	—	188	1	no	—
1527	C₂²	—	188	1	no	—
1528	C₂²	C₂²×#10625352	1	1	yes	characteristic
1529	C₂²	C₂×#13094069	1	1	yes	characteristic
1530	C₂²	C₂×#13094069	1	1	yes	characteristic
1531	C₂²	C₂×#13094069	1	1	yes	characteristic
1532	C₂²	#15689959	1	1	yes	characteristic
1533	C₂²	#15689959	1	1	yes	characteristic
1534	C₂²	#15689959	1	1	yes	characteristic
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	2	2	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	188	1	no	—
1546	C₄	—	188	1	no	—
1547	C₄	—	188	1	no	—
1548	C₄	—	188	1	no	—
1549	C₄	—	188	1	no	—
1550	C₄	—	188	1	no	—
1551	C₄	—	188	1	no	—
1552	C₄	—	188	1	no	—
1553	C₄	—	188	1	no	—
1554	C₄	—	188	1	no	—
1555	C₄	—	188	1	no	—
1556	C₄	—	188	1	no	—
1557	C₄	—	188	1	no	—
1558	C₄	—	188	1	no	—
1559	C₄	—	188	1	no	—
1560	C₂	—	4	2	no	—
1561	C₂	—	8	1	no	—
1562	C₂	—	8	1	no	—
1563	C₂	—	8	1	no	—
1564	C₂	—	8	1	no	—
1565	C₂	—	376	1	no	—
1566	C₂	#20256777	1	1	yes	characteristic
1567	C₂	#20257222	1	1	yes	characteristic
1568	C₂	#20257262	1	1	yes	characteristic
1569	C₂	#20257578	1	1	yes	characteristic
1570	C₂	#20257708	1	1	yes	characteristic
1571	C₂	#20257815	1	1	yes	characteristic
1572	C₂	#20257980	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2856	C₂
hypercenter	#2856	D₄₇
hypocenter	C₄₇	#36771
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2856

Complements

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

N	H ≅ G/N	type
1. #20251727	C₂	semidirect
2. #20251224	C₂	semidirect
3. #20251208	C₂	semidirect
4. #20250635	C₂	semidirect
5. #20250380	C₂	semidirect
6. #20250278	C₂	semidirect
7. #20250178	C₂	semidirect
8. #20250139	C₂	semidirect
9. #20250115	C₂	semidirect
10. #20250100	C₂	semidirect
11. #20250056	C₂	semidirect
12. #20250027	C₂	semidirect
13. #20249865	C₂	semidirect
14. #20249818	C₂	semidirect
15. #20249734	C₂	semidirect
16. #20249689	C₂	semidirect
17. #20249648	C₂	semidirect
18. #20249273	C₂	semidirect
19. #20249273	C₂	semidirect
20. #20248537	C₂	semidirect
21. #20248522	C₂	semidirect
22. #20248507	C₂	semidirect
23. #20248492	C₂	semidirect
24. #20248240	C₂	semidirect
25. #20248165	C₂	semidirect
26. #20247579	C₂	semidirect
27. #20247504	C₂	semidirect
28. #20246155	C₂	semidirect
29. #20246155	C₂	semidirect
30. #20245831	C₂	semidirect
31. C₄₇×#2856	C₂	semidirect
774. #2856	D₄₇	semidirect
973. C₄₇	#36771	semidirect

Maximal subgroups

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

subgroup	index
#20251727	2
#20251224	2
#20251208	2
#20250635	2
#20250380	2
#20250278	2
#20250178	2
#20250139	2
#20250115	2
#20250100	2
#20250056	2
#20250027	2
#20249865	2
#20249818	2
#20249734	2
#20249689	2
#20249648	2
#20249273	2
#20248537	2
#20248522	2
#20248507	2
#20248492	2
#20248240	2
#20248165	2
#20247579	2
#20247504	2
#20246155	2
#20245831	2
C₄₇×#2856	2
#36771	47