Subgroups — #26422728

Order 12032.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251643	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251619	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251617	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251604	C₂	1	1	yes	maximal, characteristic, complemented
5	#20251602	C₂	1	1	yes	maximal, characteristic, complemented
6	#20251524	C₂	1	1	yes	maximal, characteristic, complemented
7	#20251522	C₂	1	1	yes	maximal, characteristic, complemented
8	#20251511	C₂	1	1	yes	maximal, characteristic, complemented
9	#20251510	C₂	1	1	yes	maximal, characteristic, complemented
10	#20251486	C₂	1	1	yes	maximal, characteristic, complemented
11	#20251476	C₂	1	1	yes	maximal, characteristic, complemented
12	#20251476	C₂	1	1	yes	maximal, characteristic, complemented
13	#20251471	C₂	1	1	yes	maximal, characteristic, complemented
14	#20251410	C₂	1	1	yes	maximal, characteristic, complemented
15	#20251390	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246690	C₂	1	1	yes	maximal, characteristic, complemented
17	#20246687	C₂	1	1	yes	maximal, characteristic, complemented
18	#20246666	C₂	1	1	yes	maximal, characteristic, complemented
19	#20246653	C₂	1	1	yes	maximal, characteristic, complemented
20	#20246644	C₂	1	1	yes	maximal, characteristic, complemented
21	#20246633	C₂	1	1	yes	maximal, characteristic, complemented
22	#20246631	C₂	1	1	yes	maximal, characteristic, complemented
23	#20246631	C₂	1	1	yes	maximal, characteristic, complemented
24	#20246627	C₂	1	1	yes	maximal, characteristic, complemented
25	#20246602	C₂	1	1	yes	maximal, characteristic, complemented
26	#20246600	C₂	1	1	yes	maximal, characteristic, complemented
27	#20246600	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#121×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
30	#20245894	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2813	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#10625352	C₂²	1	1	yes	characteristic
33	C₂×#13093998	C₂²	1	1	yes	characteristic
34	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
38	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
39	C₂×#13093986	C₂²	1	1	yes	characteristic
40	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×#13093982	C₂²	1	1	yes	characteristic
47	C₂×#13093980	C₂²	1	1	yes	characteristic
48	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
49	C₄₇⋊#401	C₂²	1	1	yes	characteristic
50	C₄₇⋊#401	C₂²	1	1	yes	characteristic
51	#15689065	C₂²	1	1	yes	characteristic
52	#15689065	C₂²	1	1	yes	characteristic
53	#15689063	C₂²	1	1	yes	characteristic
54	#15689062	C₂²	1	1	yes	characteristic
55	#15689062	C₂²	1	1	yes	characteristic
56	#15689062	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	#15689059	C₂²	1	1	yes	characteristic
61	#15689059	C₂²	1	1	yes	characteristic
62	#15689059	C₂²	1	1	yes	characteristic
63	#15689057	C₂²	1	1	yes	characteristic
64	#15689057	C₂²	1	1	yes	characteristic
65	#15689056	C₂²	1	1	yes	characteristic
66	#15689056	C₂²	1	1	yes	characteristic
67	#15689055	C₂²	1	1	yes	characteristic
68	#15689053	C₂²	1	1	yes	characteristic
69	#15689052	C₂²	1	1	yes	characteristic
70	#15689052	C₂²	1	1	yes	characteristic
71	#15689051	C₂²	1	1	yes	characteristic
72	#15689051	C₂²	1	1	yes	characteristic
73	#15689051	C₂²	1	1	yes	characteristic
74	#15689051	C₂²	1	1	yes	characteristic
75	#15689050	C₂²	1	1	yes	characteristic
76	#15689050	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	#15689048	C₂²	1	1	yes	characteristic
82	#15689048	C₂²	1	1	yes	characteristic
83	#15689048	C₂²	1	1	yes	characteristic
84	#15689048	C₂²	1	1	yes	characteristic
85	#15689046	C₂²	1	1	yes	characteristic
86	#15689046	C₂²	1	1	yes	characteristic
87	#15689046	C₂²	1	1	yes	characteristic
88	#15689046	C₂²	1	1	yes	characteristic
89	#15689045	C₂²	1	1	yes	characteristic
90	#15689045	C₂²	1	1	yes	characteristic
91	#15689045	C₂²	1	1	yes	characteristic
92	#15689045	C₂²	1	1	yes	characteristic
93	#15689044	C₂²	1	1	yes	characteristic
94	#15689044	C₂²	1	1	yes	characteristic
95	#15689043	C₂²	1	1	yes	characteristic
96	#15689040	C₂²	1	1	yes	characteristic
97	#15689039	C₂²	1	1	yes	characteristic
98	#15689039	C₂²	1	1	yes	characteristic
99	#15689039	C₂²	1	1	yes	characteristic
100	#15689039	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	#15689039	C₂²	1	1	yes	characteristic
106	#15689039	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	#15689037	C₂²	1	1	yes	characteristic
114	#15689037	C₂²	1	1	yes	characteristic
115	#15689037	C₂²	1	1	yes	characteristic
116	#15689036	C₂²	1	1	yes	characteristic
117	#15689035	C₂²	1	1	yes	characteristic
118	#15689035	C₂²	1	1	yes	characteristic
119	#15689032	C₂²	1	1	yes	characteristic
120	#15689032	C₂²	1	1	yes	characteristic
121	#15689032	C₂²	1	1	yes	characteristic
122	#15689031	C₂²	1	1	yes	characteristic
123	#15689031	C₂²	1	1	yes	characteristic
124	#15689031	C₂²	1	1	yes	characteristic
125	#15689031	C₂²	1	1	yes	characteristic
126	#15689031	C₂²	1	1	yes	characteristic
127	#15689031	C₂²	1	1	yes	characteristic
128	#15689031	C₂²	1	1	yes	characteristic
129	#15689031	C₂²	1	1	yes	characteristic
130	#15689031	C₂²	1	1	yes	characteristic
131	#15689031	C₂²	1	1	yes	characteristic
132	#15689031	C₂²	1	1	yes	characteristic
133	#15689026	C₂²	1	1	yes	characteristic
134	#15689024	C₂²	1	1	yes	characteristic
135	#15689022	C₂²	1	1	yes	characteristic
136	#15689019	C₂²	1	1	yes	characteristic
137	#15689016	C₂²	1	1	yes	characteristic
138	#15689016	C₂²	1	1	yes	characteristic
139	#15689016	C₂²	1	1	yes	characteristic
140	#15689016	C₂²	1	1	yes	characteristic
141	#15689012	C₂²	1	1	yes	characteristic
142	#15689012	C₂²	1	1	yes	characteristic
143	#15689009	C₂²	1	1	yes	characteristic
144	#15689009	C₂²	1	1	yes	characteristic
145	#15689003	C₂²	1	1	yes	characteristic
146	#15689003	C₂²	1	1	yes	characteristic
147	#15689003	C₂²	1	1	yes	characteristic
148	#15689000	C₂²	1	1	yes	characteristic
149	#15689000	C₂²	1	1	yes	characteristic
150	#15688998	C₂²	1	1	yes	characteristic
151	#15688986	C₂²	1	1	yes	characteristic
152	#15688983	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
155	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
156	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
157	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
158	#15688974	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	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×Dic₄₇	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	#15688970	C₂²	1	1	yes	characteristic
171	#15688968	C₂²	1	1	yes	characteristic
172	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
173	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
174	C₄₇×#400	C₂²	1	1	yes	characteristic
175	C₄₇×#399	C₂²	1	1	yes	characteristic
176	C₄₇×#396	C₂²	1	1	yes	characteristic
177	C₄₇×#396	C₂²	1	1	yes	characteristic
178	C₄₇×#394	C₂²	1	1	yes	characteristic
179	C₄₇×#394	C₂²	1	1	yes	characteristic
180	C₄₇×#394	C₂²	1	1	yes	characteristic
181	C₄₇×#394	C₂²	1	1	yes	characteristic
182	C₄₇×#394	C₂²	1	1	yes	characteristic
183	C₄₇×#392	C₂²	1	1	yes	characteristic
184	C₄₇×#392	C₂²	1	1	yes	characteristic
185	C₄₇×#392	C₂²	1	1	yes	characteristic
186	C₄₇×#380	C₂²	1	1	yes	characteristic
187	C₂×#10625352	—	4	2	no	—
188	C₂×#10625352	—	4	2	no	—
189	C₂×#10625352	—	4	2	no	—
190	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
191	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₄₇	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	C₂³×Dic₄₇	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	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
207	#13093998	—	2	4	no	—
208	D₄×Dic₄₇	—	4	2	no	—
209	D₄×Dic₄₇	—	4	2	no	—
210	D₄×Dic₄₇	—	4	2	no	—
211	D₄×Dic₄₇	—	4	2	no	—
212	D₄×Dic₄₇	—	4	2	no	—
213	#13093986	—	4	2	no	—
214	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
215	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
216	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
217	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
218	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
219	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
220	#13093982	—	4	2	no	—
221	#13093980	—	4	2	no	—
222	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₄₇	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×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₇⋊C₄	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×(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×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	—	4	2	no	—
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	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₇	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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
323	C₄₇⋊#95	C₂³	1	1	yes	characteristic
324	C₄₇⋊#95	C₂³	1	1	yes	characteristic
325	C₄₇⋊#95	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	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
333	#123×C₄₇	—	2	4	no	—
334	#121×C₄₇	—	2	4	no	—
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊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	C₂×C₂²⋊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	#95×C₄₇	C₂³	1	1	yes	characteristic
358	#95×C₄₇	C₂³	1	1	yes	characteristic
359	#95×C₄₇	C₂³	1	1	yes	characteristic
360	#95×C₄₇	C₂³	1	1	yes	characteristic
361	#95×C₄₇	C₂³	1	1	yes	characteristic
362	#95×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	C₂³×D₄₇	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	—	4	1	no	—
374	C₂×D₄×C₄₇	—	4	1	no	—
375	C₂×D₄×C₄₇	—	4	1	no	—
376	C₂×D₄×C₄₇	—	4	1	no	—
377	C₂×D₄×C₄₇	—	4	1	no	—
378	C₂×D₄×C₄₇	—	4	1	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	C₂²×C₄×C₄₇	—	4	1	no	—
388	C₂²×C₄×C₄₇	—	4	1	no	—
389	C₂²×C₄×C₄₇	#41	1	4	yes	complemented
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₂×C₂²⋊D₄₇	—	2	2	no	—
402	C₂×C₂²⋊D₄₇	—	2	2	no	—
403	C₂×C₂²⋊D₄₇	—	4	1	no	—
404	C₂×C₂²⋊D₄₇	—	4	1	no	—
405	C₂×C₂²⋊D₄₇	—	4	1	no	—
406	C₂×C₂²⋊D₄₇	—	4	1	no	—
407	C₂×C₂²⋊D₄₇	—	4	1	no	—
408	C₂×C₂²⋊D₄₇	—	4	1	no	—
409	C₂×C₂²⋊D₄₇	—	4	1	no	—
410	C₂×C₂²⋊D₄₇	—	4	1	no	—
411	C₂×C₂²⋊D₄₇	—	4	1	no	—
412	C₂×C₂²⋊D₄₇	—	4	1	no	—
413	C₂×C₂²⋊D₄₇	—	4	1	no	—
414	C₂×C₂²⋊D₄₇	—	4	1	no	—
415	C₂×C₂²⋊D₄₇	—	4	1	no	—
416	C₂×C₂²⋊D₄₇	—	4	1	no	—
417	C₂×C₂²⋊D₄₇	—	4	1	no	—
418	C₂×C₂²⋊D₄₇	—	4	1	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	C₂²×Dic₄₇	—	2	2	no	—
426	C₂²×Dic₄₇	—	2	2	no	—
427	C₂²×Dic₄₇	—	2	2	no	—
428	C₂²×Dic₄₇	—	2	2	no	—
429	C₂²×Dic₄₇	—	2	2	no	—
430	C₂²×Dic₄₇	—	2	2	no	—
431	C₂²×Dic₄₇	—	2	2	no	—
432	C₂²×Dic₄₇	—	2	2	no	—
433	C₂²×Dic₄₇	—	2	2	no	—
434	C₂²×Dic₄₇	—	2	2	no	—
435	C₂²×Dic₄₇	—	2	2	no	—
436	C₂²×Dic₄₇	—	2	2	no	—
437	C₂²×Dic₄₇	—	4	1	no	—
438	C₂²×Dic₄₇	—	4	1	no	—
439	C₂²×Dic₄₇	—	4	1	no	—
440	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
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	#10625352	—	4	16	no	—
455	C₂×D₁₈₈	—	2	2	no	—
456	C₂×D₁₈₈	—	4	1	no	—
457	C₂×D₁₈₈	—	4	1	no	—
458	C₂×C₄×D₄₇	—	2	2	no	—
459	C₂×C₄×D₄₇	—	2	2	no	—
460	C₂×C₄×D₄₇	—	2	2	no	—
461	C₂×C₄×D₄₇	—	2	2	no	—
462	C₂×C₄×D₄₇	—	2	2	no	—
463	C₂×C₄×D₄₇	—	2	2	no	—
464	C₂×Dic₉₄	—	4	1	no	—
465	C₂×Dic₉₄	—	4	1	no	—
466	C₂×Dic₉₄	—	4	1	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	C₄⋊C₄×C₄₇	—	4	1	no	—
473	C₄⋊C₄×C₄₇	—	4	1	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	—	4	1	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	C₂²⋊C₄×C₄₇	—	4	1	no	—
485	C₂²⋊C₄×C₄₇	—	4	1	no	—
486	C₂²⋊C₄×C₄₇	—	4	1	no	—
487	C₂²⋊C₄×C₄₇	—	4	1	no	—
488	C₂²⋊C₄×C₄₇	—	4	1	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	(C₂×D₄₇)⋊C₄	—	2	2	no	—
509	(C₂×D₄₇)⋊C₄	—	2	2	no	—
510	(C₂×D₄₇)⋊C₄	—	4	1	no	—
511	(C₂×D₄₇)⋊C₄	—	4	1	no	—
512	(C₂×D₄₇)⋊C₄	—	4	1	no	—
513	(C₂×D₄₇)⋊C₄	—	4	1	no	—
514	(C₂×D₄₇)⋊C₄	—	4	1	no	—
515	(C₂×D₄₇)⋊C₄	—	4	1	no	—
516	(C₂×D₄₇)⋊C₄	—	4	1	no	—
517	(C₂×D₄₇)⋊C₄	—	4	1	no	—
518	(C₂×D₄₇)⋊C₄	—	4	1	no	—
519	(C₂×D₄₇)⋊C₄	—	4	1	no	—
520	(C₂×D₄₇)⋊C₄	—	4	1	no	—
521	(C₂×D₄₇)⋊C₄	—	4	1	no	—
522	(C₂×D₄₇)⋊C₄	—	4	1	no	—
523	(C₂×D₄₇)⋊C₄	—	4	1	no	—
524	(C₂×D₄₇)⋊C₄	—	4	1	no	—
525	(C₂×D₄₇)⋊C₄	—	4	1	no	—
526	C₄⋊Dic₄₇	—	2	2	no	—
527	C₄⋊Dic₄₇	—	4	1	no	—
528	C₄⋊Dic₄₇	—	4	1	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	C₄⋊Dic₄₇	—	4	1	no	—
536	C₄⋊Dic₄₇	—	4	1	no	—
537	Dic₄₇⋊C₄	—	4	1	no	—
538	Dic₄₇⋊C₄	—	4	1	no	—
539	Dic₄₇⋊C₄	—	4	1	no	—
540	Dic₄₇⋊C₄	—	4	1	no	—
541	Dic₄₇⋊C₄	—	4	1	no	—
542	Dic₄₇⋊C₄	—	4	1	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	C₄×Dic₄₇	—	2	2	no	—
548	C₄×Dic₄₇	—	2	2	no	—
549	C₄×Dic₄₇	—	2	2	no	—
550	C₄×Dic₄₇	—	2	2	no	—
551	C₄×Dic₄₇	—	2	2	no	—
552	C₄×Dic₄₇	—	2	2	no	—
553	C₄×Dic₄₇	—	2	2	no	—
554	C₄×Dic₄₇	—	2	2	no	—
555	C₄×Dic₄₇	—	2	2	no	—
556	C₄×Dic₄₇	—	4	1	no	—
557	C₄×Dic₄₇	—	4	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	C₂×#41	1	2	yes	—
586	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
587	C₂²×D₄₇	—	2	1	no	—
588	C₂²×D₄₇	—	2	1	no	—
589	C₂²×D₄₇	—	2	1	no	—
590	C₂²×D₄₇	—	2	1	no	—
591	C₂²×D₄₇	—	2	1	no	—
592	C₂²×D₄₇	—	2	1	no	—
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	C₂²×D₄₇	—	2	1	no	—
601	D₄×C₄₇	—	4	4	no	—
602	D₄×C₄₇	—	4	4	no	—
603	D₄×C₄₇	—	4	4	no	—
604	D₄×C₄₇	—	4	4	no	—
605	D₄×C₄₇	—	4	4	no	—
606	D₄×C₄₇	—	4	4	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	—	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	—	2	1	no	—
636	C₂×C₄×C₄₇	—	2	1	no	—
637	C₂×C₄×C₄₇	—	2	1	no	—
638	C₂×C₄×C₄₇	—	4	4	no	—
639	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
640	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
641	C₂²⋊D₄₇	—	4	4	no	—
642	C₂²⋊D₄₇	—	4	4	no	—
643	C₂²⋊D₄₇	—	4	4	no	—
644	C₂²⋊D₄₇	—	4	4	no	—
645	C₂²⋊D₄₇	—	4	4	no	—
646	C₂²⋊D₄₇	—	4	4	no	—
647	C₂²⋊D₄₇	—	4	4	no	—
648	C₂²⋊D₄₇	—	4	4	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	—	4	4	no	—
689	C₂×Dic₄₇	—	4	4	no	—
690	C₂×Dic₄₇	—	4	4	no	—
691	C₂×Dic₄₇	—	4	4	no	—
692	C₂×Dic₄₇	—	4	4	no	—
693	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
694	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
695	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
696	D₁₈₈	—	4	4	no	—
697	C₄×D₄₇	—	4	4	no	—
698	C₄×D₄₇	—	4	4	no	—
699	Dic₉₄	—	4	4	no	—
700	#36677	—	47	1	no	maximal, Sylow
701	C₂²×C₄₇	—	2	2	no	—
702	C₂²×C₄₇	—	2	2	no	—
703	C₂²×C₄₇	—	2	2	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	C₂²×#41	1	1	yes	characteristic
730	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
732	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂²×C₄₇	#585	1	1	yes	characteristic
734	C₂²×C₄₇	#585	1	1	yes	characteristic
735	C₂²×C₄₇	#585	1	1	yes	characteristic
736	C₂×D₄₇	—	4	1	no	—
737	C₂×D₄₇	—	4	1	no	—
738	C₂×D₄₇	—	4	1	no	—
739	C₂×D₄₇	—	4	1	no	—
740	C₂×D₄₇	—	4	1	no	—
741	C₂×D₄₇	—	4	1	no	—
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	C₂×D₄₇	—	4	1	no	—
750	C₄×C₄₇	—	2	2	no	—
751	C₄×C₄₇	—	2	2	no	—
752	C₄×C₄₇	—	4	1	no	—
753	C₄×C₄₇	—	4	1	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	C₄×C₄₇	—	4	1	no	—
760	C₄×C₄₇	—	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	Dic₄₇	#560	1	4	yes	—
775	#2841	—	47	1	no	—
776	#2838	—	47	1	no	—
777	#2838	—	47	1	no	—
778	#2837	—	47	1	no	—
779	#2837	—	47	1	no	—
780	#2829	—	47	1	no	—
781	#2829	—	47	1	no	—
782	#2828	—	47	1	no	—
783	#2828	—	47	1	no	—
784	#2826	—	47	1	no	—
785	#2825	—	47	1	no	—
786	#2825	—	47	1	no	—
787	#2824	—	47	1	no	—
788	#2815	—	47	1	no	—
789	#2813	—	47	1	no	—
790	#2813	D₄₇	1	1	yes	characteristic, complemented
791	#2401	—	47	1	no	—
792	#2401	—	47	1	no	—
793	#2397	—	47	1	no	—
794	#2395	—	47	1	no	—
795	#2395	—	47	1	no	—
796	#2392	—	47	1	no	—
797	#2392	—	47	1	no	—
798	#2392	—	47	1	no	—
799	#2392	—	47	1	no	—
800	#2388	—	47	1	no	—
801	#2388	—	47	1	no	—
802	#2388	—	47	1	no	—
803	C₄×#123	—	47	1	no	—
804	C₄×#121	—	47	1	no	—
805	C₄×#121	—	47	1	no	—
806	C₂×C₄₇	—	4	2	no	—
807	C₂×C₄₇	—	8	1	no	—
808	C₂×C₄₇	—	8	1	no	—
809	C₂×C₄₇	—	8	1	no	—
810	C₂×C₄₇	#3459	1	1	yes	characteristic
811	C₂×C₄₇	#3460	1	1	yes	characteristic
812	C₂×C₄₇	#3460	1	1	yes	characteristic
813	C₂×C₄₇	C₂×#560	1	1	yes	characteristic
814	C₂×C₄₇	#3529	1	1	yes	characteristic
815	C₂×C₄₇	#3529	1	1	yes	characteristic
816	C₂×C₄₇	#3529	1	1	yes	characteristic
817	D₄₇	—	8	1	no	—
818	D₄₇	—	8	1	no	—
819	C₂²×#41	—	47	1	no	—
820	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
821	C₂×#121	—	47	1	no	—
822	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
823	C₂×C₄×D₄	—	47	1	no	—
824	C₂×C₄×D₄	—	47	1	no	—
825	C₂×C₄×D₄	—	47	1	no	—
826	C₂×C₄×D₄	—	47	1	no	—
827	C₂×C₄×D₄	—	47	1	no	—
828	C₂×C₄×D₄	—	47	1	no	—
829	C₂×C₄×D₄	—	47	1	no	—
830	C₂×C₄×D₄	—	47	1	no	—
831	C₂×C₄×D₄	—	47	1	no	—
832	C₂×C₄×D₄	—	47	1	no	—
833	C₂×C₄×D₄	—	47	1	no	—
834	C₂×C₄×D₄	—	47	1	no	—
835	C₂×#117	—	47	1	no	—
836	C₂×#117	—	47	1	no	—
837	C₂²×C₄²	—	47	1	no	—
838	#401	—	47	1	no	—
839	#401	—	47	1	no	—
840	#400	—	47	1	no	—
841	#400	—	47	1	no	—
842	#400	—	47	1	no	—
843	#400	—	47	1	no	—
844	#400	—	47	1	no	—
845	#400	—	47	1	no	—
846	#400	—	47	1	no	—
847	#400	C₂×D₄₇	1	1	yes	characteristic
848	#399	—	47	1	no	—
849	#399	—	47	1	no	—
850	#399	—	47	1	no	—
851	#399	—	47	1	no	—
852	#399	—	47	1	no	—
853	#399	C₂×D₄₇	1	1	yes	characteristic
854	#398	—	47	1	no	—
855	#398	—	47	1	no	—
856	#398	—	47	1	no	—
857	#398	—	47	1	no	—
858	#398	—	47	1	no	—
859	#398	—	47	1	no	—
860	#397	—	47	1	no	—
861	#397	—	47	1	no	—
862	#397	—	47	1	no	—
863	#397	—	47	1	no	—
864	#397	—	47	1	no	—
865	#397	—	47	1	no	—
866	#397	—	47	1	no	—
867	#397	—	47	1	no	—
868	#397	—	47	1	no	—
869	#397	—	47	1	no	—
870	#397	—	47	1	no	—
871	#397	—	47	1	no	—
872	#397	—	47	1	no	—
873	#397	—	47	1	no	—
874	#397	—	47	1	no	—
875	#397	—	47	1	no	—
876	#396	—	47	1	no	—
877	#396	—	47	1	no	—
878	#396	—	47	1	no	—
879	#396	—	47	1	no	—
880	#396	—	47	1	no	—
881	#396	—	47	1	no	—
882	#396	—	47	1	no	—
883	#396	—	47	1	no	—
884	#396	C₂×D₄₇	1	1	yes	characteristic
885	#396	C₂×D₄₇	1	1	yes	characteristic
886	#395	—	47	1	no	—
887	#395	—	47	1	no	—
888	#395	—	47	1	no	—
889	#394	—	47	1	no	—
890	#394	—	47	1	no	—
891	#394	—	47	1	no	—
892	#394	—	47	1	no	—
893	#394	—	47	1	no	—
894	#394	—	47	1	no	—
895	#394	—	47	1	no	—
896	#394	—	47	1	no	—
897	#394	—	47	1	no	—
898	#394	—	47	1	no	—
899	#394	—	47	1	no	—
900	#394	—	47	1	no	—
901	#394	—	47	1	no	—
902	#394	—	47	1	no	—
903	#394	—	47	1	no	—
904	#394	—	47	1	no	—
905	#394	—	47	1	no	—
906	#394	—	47	1	no	—
907	#394	—	47	1	no	—
908	#394	—	47	1	no	—
909	#394	C₂×D₄₇	1	1	yes	characteristic
910	#394	C₂×D₄₇	1	1	yes	characteristic
911	#394	C₂×D₄₇	1	1	yes	characteristic
912	#394	C₂×D₄₇	1	1	yes	characteristic
913	#394	C₂×D₄₇	1	1	yes	characteristic
914	#393	—	47	1	no	—
915	#393	—	47	1	no	—
916	#393	—	47	1	no	—
917	#392	—	47	1	no	—
918	#392	—	47	1	no	—
919	#392	—	47	1	no	—
920	#392	—	47	1	no	—
921	#392	—	47	1	no	—
922	#392	—	47	1	no	—
923	#392	—	47	1	no	—
924	#392	—	47	1	no	—
925	#392	—	47	1	no	—
926	#392	—	47	1	no	—
927	#392	—	47	1	no	—
928	#392	—	47	1	no	—
929	#392	—	47	1	no	—
930	#392	—	47	1	no	—
931	#392	C₂×D₄₇	1	1	yes	characteristic
932	#392	C₂×D₄₇	1	1	yes	characteristic
933	#392	C₂×D₄₇	1	1	yes	characteristic
934	#390	—	47	1	no	—
935	#390	—	47	1	no	—
936	#389	—	47	1	no	—
937	#389	—	47	1	no	—
938	#388	—	47	1	no	—
939	#388	—	47	1	no	—
940	#388	—	47	1	no	—
941	#388	—	47	1	no	—
942	#388	—	47	1	no	—
943	#388	—	47	1	no	—
944	#387	—	47	1	no	—
945	#387	—	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	#385	—	47	1	no	—
952	#381	—	47	1	no	—
953	#380	—	47	1	no	—
954	#380	C₂×D₄₇	1	1	yes	characteristic
955	C₄×C₄⋊C₄	—	47	1	no	—
956	C₄×C₄⋊C₄	—	47	1	no	—
957	C₄×C₄⋊C₄	—	47	1	no	—
958	C₄×C₄⋊C₄	—	47	1	no	—
959	C₄×C₄⋊C₄	—	47	1	no	—
960	C₄×C₄⋊C₄	—	47	1	no	—
961	C₄×C₂²⋊C₄	—	47	1	no	—
962	C₄×C₂²⋊C₄	—	47	1	no	—
963	C₄×C₂²⋊C₄	—	47	1	no	—
964	C₄×C₂²⋊C₄	—	47	1	no	—
965	C₄×C₂²⋊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	C₄×C₂²⋊C₄	—	47	1	no	—
973	#376	—	47	1	no	—
974	C₄₇	#36677	1	1	yes	characteristic, complemented, Sylow
975	C₂×#41	—	188	2	no	—
976	C₂×#41	—	188	2	no	—
977	C₂×#41	—	188	2	no	—
978	C₂²×Q₈	—	47	1	no	—
979	C₂²×D₄	—	47	1	no	—
980	C₂²×D₄	—	47	1	no	—
981	C₂²×D₄	—	47	1	no	—
982	C₂²×D₄	—	47	1	no	—
983	C₂²×D₄	—	47	1	no	—
984	C₂²×D₄	—	47	1	no	—
985	C₂²×D₄	—	47	1	no	—
986	C₂²×D₄	—	47	1	no	—
987	C₂²×D₄	—	47	1	no	—
988	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
989	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
990	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
991	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
992	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
993	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
994	C₂³×C₄	—	47	1	no	—
995	C₂³×C₄	—	47	1	no	—
996	C₂³×C₄	—	47	1	no	—
997	C₂³×C₄	—	47	1	no	—
998	C₂³×C₄	—	47	1	no	—
999	C₂³×C₄	—	47	1	no	—
1000	C₂³×C₄	—	47	1	no	—
1001	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1002	#123	—	2	4	no	—
1003	#121	—	2	4	no	—
1004	#121	—	94	4	no	—
1005	C₄×D₄	—	188	2	no	—
1006	C₄×D₄	—	188	2	no	—
1007	C₄×D₄	—	188	2	no	—
1008	C₄×D₄	—	188	2	no	—
1009	C₄×D₄	—	188	2	no	—
1010	C₄×D₄	—	188	2	no	—
1011	C₄×D₄	—	188	2	no	—
1012	C₄×D₄	—	188	2	no	—
1013	C₄×D₄	—	188	2	no	—
1014	C₄×D₄	—	188	2	no	—
1015	C₄×D₄	—	188	2	no	—
1016	C₄×D₄	—	188	2	no	—
1017	#117	—	188	2	no	—
1018	#117	—	188	2	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×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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	C₂²×D₄₇	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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	—	47	1	no	—
1107	C₂×C₄²	—	47	1	no	—
1108	C₂×C₄²	—	47	1	no	—
1109	C₂×C₄²	—	47	1	no	—
1110	C₂×C₄²	—	188	2	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	C₂²×D₄₇	1	1	yes	characteristic
1146	#95	C₂²×D₄₇	1	1	yes	characteristic
1147	#95	C₂²×D₄₇	1	1	yes	characteristic
1148	#95	C₂²×D₄₇	1	1	yes	characteristic
1149	#95	C₂²×D₄₇	1	1	yes	characteristic
1150	#95	C₂²×D₄₇	1	1	yes	characteristic
1151	C₂⁴	—	47	1	no	—
1152	C₂⁴	—	47	1	no	—
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	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1157	#41	—	188	16	no	—
1158	C₂×Q₈	—	188	1	no	—
1159	C₂×Q₈	—	188	1	no	—
1160	C₂×Q₈	—	188	1	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	—	4	1	no	—
1166	C₂×D₄	—	4	1	no	—
1167	C₂×D₄	—	4	1	no	—
1168	C₂×D₄	—	4	1	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	—	94	2	no	—
1180	C₂×D₄	—	94	2	no	—
1181	C₂×D₄	—	94	2	no	—
1182	C₂×D₄	—	188	1	no	—
1183	C₂×D₄	—	188	1	no	—
1184	C₂×D₄	—	188	1	no	—
1185	C₂×D₄	—	188	1	no	—
1186	C₂×D₄	—	188	1	no	—
1187	C₂×D₄	—	188	1	no	—
1188	C₂×D₄	—	188	1	no	—
1189	C₂×D₄	—	188	1	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	C₂×D₄	—	188	1	no	—
1205	C₂×D₄	—	188	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	47	1	no	—
1209	C₂²×C₄	—	47	1	no	—
1210	C₂²×C₄	—	47	1	no	—
1211	C₂²×C₄	—	47	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	—	94	2	no	—
1223	C₂²×C₄	—	94	2	no	—
1224	C₂²×C₄	—	94	2	no	—
1225	C₂²×C₄	—	94	2	no	—
1226	C₂²×C₄	—	94	2	no	—
1227	C₂²×C₄	—	94	2	no	—
1228	C₂²×C₄	—	94	2	no	—
1229	C₂²×C₄	—	94	2	no	—
1230	C₂²×C₄	—	94	2	no	—
1231	C₂²×C₄	—	94	2	no	—
1232	C₂²×C₄	—	94	2	no	—
1233	C₂²×C₄	—	94	2	no	—
1234	C₂²×C₄	—	94	2	no	—
1235	C₂²×C₄	—	94	2	no	—
1236	C₂²×C₄	—	94	2	no	—
1237	C₂²×C₄	—	94	2	no	—
1238	C₂²×C₄	—	94	2	no	—
1239	C₂²×C₄	—	94	2	no	—
1240	C₂²×C₄	—	188	1	no	—
1241	C₂²×C₄	—	188	1	no	—
1242	C₂²×C₄	—	188	1	no	—
1243	C₂²×C₄	#10625352	1	4	yes	complemented
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	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	94	2	no	—
1263	C₄⋊C₄	—	188	1	no	—
1264	C₄⋊C₄	—	188	1	no	—
1265	C₄⋊C₄	—	188	1	no	—
1266	C₄⋊C₄	—	188	1	no	—
1267	C₄⋊C₄	—	188	1	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	C₄⋊C₄	—	188	1	no	—
1282	C₄⋊C₄	—	188	1	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	—	4	1	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	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	94	2	no	—
1299	C₂²⋊C₄	—	94	2	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	C₂²⋊C₄	—	188	1	no	—
1334	C₂²⋊C₄	—	188	1	no	—
1335	C₄²	—	94	2	no	—
1336	C₄²	—	94	2	no	—
1337	C₄²	—	94	2	no	—
1338	C₄²	—	94	2	no	—
1339	C₄²	—	94	2	no	—
1340	C₄²	—	94	2	no	—
1341	C₄²	—	94	2	no	—
1342	C₄²	—	94	2	no	—
1343	C₄²	—	94	2	no	—
1344	C₄²	—	188	1	no	—
1345	C₄²	—	188	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	—	94	1	no	—
1374	C₂³	—	94	1	no	—
1375	C₂³	—	94	1	no	—
1376	C₂³	—	94	1	no	—
1377	C₂³	—	94	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	—	94	1	no	—
1386	C₂³	—	94	1	no	—
1387	C₂³	C₂×#10625352	1	2	yes	—
1388	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1389	Q₈	—	188	4	no	—
1390	D₄	—	4	4	no	—
1391	D₄	—	4	4	no	—
1392	D₄	—	4	4	no	—
1393	D₄	—	4	4	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	188	4	no	—
1397	D₄	—	188	4	no	—
1398	D₄	—	188	4	no	—
1399	D₄	—	188	4	no	—
1400	D₄	—	188	4	no	—
1401	D₄	—	188	4	no	—
1402	D₄	—	188	4	no	—
1403	D₄	—	188	4	no	—
1404	D₄	—	188	4	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	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	47	2	no	—
1438	C₂×C₄	—	47	2	no	—
1439	C₂×C₄	—	47	2	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	—	94	1	no	—
1477	C₂×C₄	—	94	1	no	—
1478	C₂×C₄	—	94	1	no	—
1479	C₂×C₄	—	188	4	no	—
1480	C₂×C₄	—	188	4	no	—
1481	C₂×C₄	—	188	4	no	—
1482	C₂×C₄	—	188	4	no	—
1483	C₂×C₄	—	188	4	no	—
1484	C₂×C₄	—	188	4	no	—
1485	C₂×C₄	—	188	4	no	—
1486	C₂×C₄	C₂×#10625352	1	2	yes	—
1487	C₂×C₄	C₂×#10625352	1	2	yes	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	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	—	188	1	no	—
1517	C₂²	—	188	1	no	—
1518	C₂²	—	188	1	no	—
1519	C₂²	—	188	1	no	—
1520	C₂²	—	188	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	—	188	1	no	—
1529	C₂²	—	188	1	no	—
1530	C₂²	C₂²×#10625352	1	1	yes	characteristic
1531	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1532	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1533	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1534	C₂²	#15689958	1	1	yes	characteristic
1535	C₂²	#15689958	1	1	yes	characteristic
1536	C₂²	#15689960	1	1	yes	characteristic
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	4	1	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	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	47	4	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	C₄	—	188	1	no	—
1561	C₄	—	188	1	no	—
1562	C₂	—	4	2	no	—
1563	C₂	—	8	1	no	—
1564	C₂	—	8	1	no	—
1565	C₂	—	8	1	no	—
1566	C₂	—	376	1	no	—
1567	C₂	—	376	1	no	—
1568	C₂	#20256794	1	1	yes	characteristic
1569	C₂	#20256801	1	1	yes	characteristic
1570	C₂	#20256805	1	1	yes	characteristic
1571	C₂	#560×D₄₇	1	1	yes	characteristic
1572	C₂	#20257523	1	1	yes	characteristic
1573	C₂	#20257525	1	1	yes	characteristic
1574	C₂	#20257525	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2813	C₂
hypercenter	#2813	D₄₇
hypocenter	C₄₇	#36677
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2813

Complements

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

N	H ≅ G/N	type
1. #20251643	C₂	semidirect
2. #20251619	C₂	semidirect
3. #20251617	C₂	semidirect
4. #20251604	C₂	semidirect
5. #20251602	C₂	semidirect
6. #20251524	C₂	semidirect
7. #20251522	C₂	semidirect
8. #20251511	C₂	semidirect
9. #20251510	C₂	semidirect
10. #20251486	C₂	semidirect
11. #20251476	C₂	semidirect
12. #20251476	C₂	semidirect
13. #20251471	C₂	semidirect
14. #20251410	C₂	semidirect
15. #20251390	C₂	semidirect
16. #20246690	C₂	semidirect
17. #20246687	C₂	semidirect
18. #20246666	C₂	semidirect
19. #20246653	C₂	semidirect
20. #20246644	C₂	semidirect
21. #20246633	C₂	semidirect
22. #20246631	C₂	semidirect
23. #20246631	C₂	semidirect
24. #20246627	C₂	semidirect
25. #20246602	C₂	semidirect
26. #20246600	C₂	semidirect
27. #20246600	C₂	semidirect
28. #123×Dic₄₇	C₂	semidirect
29. #121×Dic₄₇	C₂	semidirect
30. #20245894	C₂	semidirect
31. C₄₇×#2813	C₂	semidirect
389. C₂²×C₄×C₄₇	#41	semidirect
790. #2813	D₄₇	semidirect
974. C₄₇	#36677	semidirect
1243. C₂²×C₄	#10625352	semidirect

Maximal subgroups

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

subgroup	index
#20251643	2
#20251619	2
#20251617	2
#20251604	2
#20251602	2
#20251524	2
#20251522	2
#20251511	2
#20251510	2
#20251486	2
#20251476	2
#20251471	2
#20251410	2
#20251390	2
#20246690	2
#20246687	2
#20246666	2
#20246653	2
#20246644	2
#20246633	2
#20246631	2
#20246627	2
#20246602	2
#20246600	2
#123×Dic₄₇	2
#121×Dic₄₇	2
#20245894	2
C₄₇×#2813	2
#36677	47