Subgroups — #26424113

Order 12032.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251672	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251667	C₂	1	1	yes	maximal, characteristic
3	#20251232	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251121	C₂	1	1	yes	maximal, characteristic, complemented
5	#20251098	C₂	1	1	yes	maximal, characteristic, complemented
6	#20251061	C₂	1	1	yes	maximal, characteristic, complemented
7	#20250892	C₂	1	1	yes	maximal, characteristic, complemented
8	#20250725	C₂	1	1	yes	maximal, characteristic, complemented
9	#20250632	C₂	1	1	yes	maximal, characteristic, complemented
10	#20250591	C₂	1	1	yes	maximal, characteristic, complemented
11	#20250574	C₂	1	1	yes	maximal, characteristic, complemented
12	#20250355	C₂	1	1	yes	maximal, characteristic, complemented
13	#20250314	C₂	1	1	yes	maximal, characteristic, complemented
14	#20250150	C₂	1	1	yes	maximal, characteristic, complemented
15	#20250102	C₂	1	1	yes	maximal, characteristic, complemented
16	#20249865	C₂	1	1	yes	maximal, characteristic, complemented
17	#20249850	C₂	1	1	yes	maximal, characteristic, complemented
18	#20249160	C₂	1	1	yes	maximal, characteristic, complemented
19	#20249160	C₂	1	1	yes	maximal, characteristic, complemented
20	#20247953	C₂	1	1	yes	maximal, characteristic, complemented
21	#20247894	C₂	1	1	yes	maximal, characteristic, complemented
22	#20247650	C₂	1	1	yes	maximal, characteristic, complemented
23	#20247532	C₂	1	1	yes	maximal, characteristic, complemented
24	#20247205	C₂	1	1	yes	maximal, characteristic, complemented
25	#20247194	C₂	1	1	yes	maximal, characteristic, complemented
26	#20247131	C₂	1	1	yes	maximal, characteristic, complemented
27	#20247120	C₂	1	1	yes	maximal, characteristic, complemented
28	#20246047	C₂	1	1	yes	maximal, characteristic, complemented
29	#20246044	C₂	1	1	yes	maximal, characteristic, complemented
30	#385×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2681	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic
33	C₂×#13094017	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13094015	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13094000	C₂²	1	1	yes	characteristic
36	C₂×#13094000	C₂²	1	1	yes	characteristic
37	C₂×#13093995	C₂²	1	1	yes	characteristic
38	C₂×#13093995	C₂²	1	1	yes	characteristic
39	C₂×#13093992	C₂²	1	1	yes	characteristic
40	C₂×#13093992	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
42	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
47	C₄₇⋊#401	C₂²	1	1	yes	characteristic, complemented
48	#15689065	C₂²	1	1	yes	characteristic, complemented
49	#15689065	C₂²	1	1	yes	characteristic, complemented
50	#15689064	C₂²	1	1	yes	characteristic, complemented
51	#15689064	C₂²	1	1	yes	characteristic, complemented
52	#15689062	C₂²	1	1	yes	characteristic, complemented
53	#15689062	C₂²	1	1	yes	characteristic, complemented
54	#15689062	C₂²	1	1	yes	characteristic, complemented
55	#15689062	C₂²	1	1	yes	characteristic, complemented
56	#15689061	C₂²	1	1	yes	characteristic, complemented
57	#15689059	C₂²	1	1	yes	characteristic, complemented
58	#15689059	C₂²	1	1	yes	characteristic, complemented
59	#15689057	C₂²	1	1	yes	characteristic, complemented
60	#15689056	C₂²	1	1	yes	characteristic, complemented
61	#15689056	C₂²	1	1	yes	characteristic, complemented
62	#15689056	C₂²	1	1	yes	characteristic, complemented
63	#15689053	C₂²	1	1	yes	characteristic, complemented
64	#15689053	C₂²	1	1	yes	characteristic, complemented
65	#15689052	C₂²	1	1	yes	characteristic
66	#15689052	C₂²	1	1	yes	characteristic
67	#15689051	C₂²	1	1	yes	characteristic
68	#15689051	C₂²	1	1	yes	characteristic
69	#15689051	C₂²	1	1	yes	characteristic, complemented
70	#15689051	C₂²	1	1	yes	characteristic, complemented
71	#15689051	C₂²	1	1	yes	characteristic, complemented
72	#15689051	C₂²	1	1	yes	characteristic, complemented
73	#15689049	C₂²	1	1	yes	characteristic
74	#15689049	C₂²	1	1	yes	characteristic
75	#15689048	C₂²	1	1	yes	characteristic
76	#15689048	C₂²	1	1	yes	characteristic
77	#15689048	C₂²	1	1	yes	characteristic, complemented
78	#15689048	C₂²	1	1	yes	characteristic, complemented
79	#15689046	C₂²	1	1	yes	characteristic, complemented
80	#15689046	C₂²	1	1	yes	characteristic, complemented
81	#15689042	C₂²	1	1	yes	characteristic, complemented
82	#15689039	C₂²	1	1	yes	characteristic
83	#15689039	C₂²	1	1	yes	characteristic
84	#15689038	C₂²	1	1	yes	characteristic
85	#15689038	C₂²	1	1	yes	characteristic
86	#15689037	C₂²	1	1	yes	characteristic
87	#15689037	C₂²	1	1	yes	characteristic
88	#15689037	C₂²	1	1	yes	characteristic, complemented
89	#15689030	C₂²	1	1	yes	characteristic, complemented
90	#15689026	C₂²	1	1	yes	characteristic
91	#15689023	C₂²	1	1	yes	characteristic
92	#15689023	C₂²	1	1	yes	characteristic
93	#15689020	C₂²	1	1	yes	characteristic, complemented
94	#15689018	C₂²	1	1	yes	characteristic, complemented
95	#15689017	C₂²	1	1	yes	characteristic
96	#15689017	C₂²	1	1	yes	characteristic
97	#15689017	C₂²	1	1	yes	characteristic, complemented
98	#15689017	C₂²	1	1	yes	characteristic, complemented
99	#15689016	C₂²	1	1	yes	characteristic, complemented
100	#15689016	C₂²	1	1	yes	characteristic, complemented
101	#15689015	C₂²	1	1	yes	characteristic
102	#15689014	C₂²	1	1	yes	characteristic
103	#15689013	C₂²	1	1	yes	characteristic
104	#15689012	C₂²	1	1	yes	characteristic
105	#15689011	C₂²	1	1	yes	characteristic
106	#15689011	C₂²	1	1	yes	characteristic
107	#15689010	C₂²	1	1	yes	characteristic, complemented
108	#15689009	C₂²	1	1	yes	characteristic, complemented
109	#15689009	C₂²	1	1	yes	characteristic, complemented
110	#15689009	C₂²	1	1	yes	characteristic, complemented
111	#15689009	C₂²	1	1	yes	characteristic, complemented
112	#15689008	C₂²	1	1	yes	characteristic, complemented
113	#15689008	C₂²	1	1	yes	characteristic, complemented
114	#15689007	C₂²	1	1	yes	characteristic, complemented
115	#15689006	C₂²	1	1	yes	characteristic, complemented
116	#15689004	C₂²	1	1	yes	characteristic, complemented
117	#15689004	C₂²	1	1	yes	characteristic, complemented
118	#15689003	C₂²	1	1	yes	characteristic
119	#15689003	C₂²	1	1	yes	characteristic
120	#15689003	C₂²	1	1	yes	characteristic
121	#15689003	C₂²	1	1	yes	characteristic, complemented
122	#15689002	C₂²	1	1	yes	characteristic
123	#15689000	C₂²	1	1	yes	characteristic
124	#15688999	C₂²	1	1	yes	characteristic
125	#15688999	C₂²	1	1	yes	characteristic
126	#15688999	C₂²	1	1	yes	characteristic
127	#15688999	C₂²	1	1	yes	characteristic
128	#15688999	C₂²	1	1	yes	characteristic
129	#15688999	C₂²	1	1	yes	characteristic
130	#15688999	C₂²	1	1	yes	characteristic
131	#15688999	C₂²	1	1	yes	characteristic
132	#15688999	C₂²	1	1	yes	characteristic
133	#15688999	C₂²	1	1	yes	characteristic
134	#15688998	C₂²	1	1	yes	characteristic
135	#15688998	C₂²	1	1	yes	characteristic, complemented
136	#15688997	C₂²	1	1	yes	characteristic
137	#15688997	C₂²	1	1	yes	characteristic
138	#15688997	C₂²	1	1	yes	characteristic
139	#15688997	C₂²	1	1	yes	characteristic
140	#15688997	C₂²	1	1	yes	characteristic
141	#15688996	C₂²	1	1	yes	characteristic
142	#15688996	C₂²	1	1	yes	characteristic, complemented
143	#15688996	C₂²	1	1	yes	characteristic, complemented
144	#15688995	C₂²	1	1	yes	characteristic
145	#15688995	C₂²	1	1	yes	characteristic
146	#15688995	C₂²	1	1	yes	characteristic
147	#15688994	C₂²	1	1	yes	characteristic
148	#15688994	C₂²	1	1	yes	characteristic
149	#15688994	C₂²	1	1	yes	characteristic
150	#15688994	C₂²	1	1	yes	characteristic
151	#15688994	C₂²	1	1	yes	characteristic
152	#15688994	C₂²	1	1	yes	characteristic
153	#15688994	C₂²	1	1	yes	characteristic
154	#15688994	C₂²	1	1	yes	characteristic
155	#15688994	C₂²	1	1	yes	characteristic
156	#15688991	C₂²	1	1	yes	characteristic, complemented
157	#15688987	C₂²	1	1	yes	characteristic, complemented
158	#15688984	C₂²	1	1	yes	characteristic, complemented
159	#15688983	C₂²	1	1	yes	characteristic
160	#15688983	C₂²	1	1	yes	characteristic
161	#15688981	C₂²	1	1	yes	characteristic, complemented
162	#15688980	C₂²	1	1	yes	characteristic
163	#15688980	C₂²	1	1	yes	characteristic
164	#15688980	C₂²	1	1	yes	characteristic
165	#15688980	C₂²	1	1	yes	characteristic
166	#15688978	C₂²	1	1	yes	characteristic
167	#15688978	C₂²	1	1	yes	characteristic
168	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
169	#15688970	C₂²	1	1	yes	characteristic
170	#95×D₄₇	C₂²	1	1	yes	characteristic
171	#95×D₄₇	C₂²	1	1	yes	characteristic
172	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
175	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
176	C₄₇×#398	C₂²	1	1	yes	characteristic, complemented
177	C₄₇×#396	C₂²	1	1	yes	characteristic, complemented
178	C₄₇×#394	C₂²	1	1	yes	characteristic
179	C₄₇×#394	C₂²	1	1	yes	characteristic
180	C₄₇×#394	C₂²	1	1	yes	characteristic, complemented
181	C₄₇×#393	C₂²	1	1	yes	characteristic, complemented
182	C₄₇×#390	C₂²	1	1	yes	characteristic
183	C₄₇×#389	C₂²	1	1	yes	characteristic, complemented
184	C₄₇×#388	C₂²	1	1	yes	characteristic, complemented
185	C₄₇×#386	C₂²	1	1	yes	characteristic
186	C₄₇×#385	C₂²	1	1	yes	characteristic
187	C₂⁴×D₄₇	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	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₇	—	4	2	no	—
195	C₂²×C₄×D₄₇	—	4	2	no	—
196	C₂²×C₄×D₄₇	—	4	2	no	—
197	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
205	#13094017	—	4	2	no	—
206	#13094015	—	4	2	no	—
207	#13094000	—	4	2	no	—
208	#13094000	—	4	2	no	—
209	#13093995	—	4	2	no	—
210	#13093995	—	4	2	no	—
211	#13093992	—	2	4	no	—
212	#13093992	—	2	4	no	—
213	C₄×C₂²⋊D₄₇	—	4	2	no	—
214	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
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×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×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	C₄⋊C₄×D₄₇	—	4	2	no	—
241	C₄⋊C₄×D₄₇	—	4	2	no	—
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×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂²⋊C₄×D₄₇	—	2	4	no	—
276	C₂²⋊C₄×D₄₇	—	4	2	no	—
277	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
282	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	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	C₂²×Q₈×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	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
330	#123×C₄₇	—	4	2	no	—
331	C₂²⋊Q₈×C₄₇	—	4	2	no	—
332	C₂²⋊Q₈×C₄₇	—	4	2	no	—
333	#121×C₄₇	—	4	2	no	—
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
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×C₄⋊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×C₄²×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	C₂³×D₄₇	—	2	2	no	—
367	C₂³×D₄₇	—	2	2	no	—
368	C₂³×D₄₇	—	4	1	no	—
369	C₂³×D₄₇	—	4	1	no	—
370	C₂³×D₄₇	—	4	1	no	—
371	C₂³×D₄₇	—	4	1	no	—
372	C₂³×D₄₇	#41	1	4	yes	—
373	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
374	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
375	C₂×Q₈×C₄₇	—	2	2	no	—
376	C₂×Q₈×C₄₇	—	4	1	no	—
377	C₂×Q₈×C₄₇	—	4	1	no	—
378	C₂×D₄×C₄₇	—	2	2	no	—
379	C₂×D₄×C₄₇	—	2	2	no	—
380	C₂×D₄×C₄₇	—	2	2	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	—	2	2	no	—
388	C₂²×C₄×C₄₇	—	2	2	no	—
389	C₂²×C₄×C₄₇	—	4	1	no	—
390	C₂²×C₄×C₄₇	—	4	1	no	—
391	C₂²×C₄×C₄₇	—	4	1	no	—
392	C₂²×C₄×C₄₇	—	4	1	no	—
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	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₄₇	—	2	2	no	—
406	C₂×C₂²⋊D₄₇	—	2	2	no	—
407	C₂×C₂²⋊D₄₇	—	2	2	no	—
408	C₂×C₂²⋊D₄₇	—	2	2	no	—
409	C₂×C₂²⋊D₄₇	—	2	2	no	—
410	C₂×C₂²⋊D₄₇	—	2	2	no	—
411	C₂×C₂²⋊D₄₇	—	2	2	no	—
412	C₂×C₂²⋊D₄₇	—	2	2	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	C₂²×Dic₄₇	—	4	1	no	—
418	C₂²×Dic₄₇	—	4	1	no	—
419	C₂²×Dic₄₇	—	4	1	no	—
420	C₂²×Dic₄₇	—	4	1	no	—
421	C₂²×Dic₄₇	—	4	1	no	—
422	C₂²×Dic₄₇	—	4	1	no	—
423	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₂×C₄×D₄₇	—	2	2	no	—
438	C₂×C₄×D₄₇	—	2	2	no	—
439	C₂×C₄×D₄₇	—	2	2	no	—
440	C₂×C₄×D₄₇	—	2	2	no	—
441	C₂×C₄×D₄₇	—	2	2	no	—
442	C₂×C₄×D₄₇	—	2	2	no	—
443	C₂×C₄×D₄₇	—	2	2	no	—
444	C₂×C₄×D₄₇	—	2	2	no	—
445	C₂×C₄×D₄₇	—	2	2	no	—
446	C₂×C₄×D₄₇	—	2	2	no	—
447	C₂×C₄×D₄₇	—	4	1	no	—
448	C₂×C₄×D₄₇	—	4	1	no	—
449	C₂×C₄×D₄₇	—	4	1	no	—
450	C₂×C₄×D₄₇	—	4	1	no	—
451	C₂×C₄×D₄₇	—	4	1	no	—
452	C₂×C₄×D₄₇	—	4	1	no	—
453	C₂×C₄×D₄₇	—	4	1	no	—
454	C₂×C₄×D₄₇	—	4	1	no	—
455	C₂×C₄×D₄₇	—	4	1	no	—
456	C₂×C₄×D₄₇	—	4	1	no	—
457	C₂×C₄×D₄₇	—	4	16	no	—
458	C₂×C₄×D₄₇	—	4	1	no	—
459	C₂×C₄×D₄₇	—	4	1	no	—
460	C₂×C₄×D₄₇	—	4	1	no	—
461	C₂×C₄×D₄₇	—	4	1	no	—
462	C₄⋊C₄×C₄₇	—	2	2	no	—
463	C₄⋊C₄×C₄₇	—	2	2	no	—
464	C₄⋊C₄×C₄₇	—	2	2	no	—
465	C₄⋊C₄×C₄₇	—	2	2	no	—
466	C₄⋊C₄×C₄₇	—	4	1	no	—
467	C₄⋊C₄×C₄₇	—	4	1	no	—
468	C₄⋊C₄×C₄₇	—	4	1	no	—
469	C₄⋊C₄×C₄₇	—	4	1	no	—
470	C₄⋊C₄×C₄₇	—	4	1	no	—
471	C₂²⋊C₄×C₄₇	—	2	2	no	—
472	C₂²⋊C₄×C₄₇	—	2	2	no	—
473	C₂²⋊C₄×C₄₇	—	2	2	no	—
474	C₂²⋊C₄×C₄₇	—	4	1	no	—
475	C₂²⋊C₄×C₄₇	—	4	1	no	—
476	C₂²⋊C₄×C₄₇	—	4	1	no	—
477	C₂²⋊C₄×C₄₇	—	4	1	no	—
478	C₂²⋊C₄×C₄₇	—	4	1	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	C₄²×C₄₇	—	4	1	no	—
485	C₂²⋊Dic₄₇	—	2	2	no	—
486	C₂²⋊Dic₄₇	—	2	2	no	—
487	C₂²⋊Dic₄₇	—	2	2	no	—
488	C₂²⋊Dic₄₇	—	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	(C₂×D₄₇)⋊C₄	—	2	2	no	—
503	(C₂×D₄₇)⋊C₄	—	2	2	no	—
504	(C₂×D₄₇)⋊C₄	—	2	2	no	—
505	(C₂×D₄₇)⋊C₄	—	2	2	no	—
506	(C₂×D₄₇)⋊C₄	—	2	2	no	—
507	(C₂×D₄₇)⋊C₄	—	2	2	no	—
508	(C₂×D₄₇)⋊C₄	—	2	2	no	—
509	(C₂×D₄₇)⋊C₄	—	2	2	no	—
510	(C₂×D₄₇)⋊C₄	—	2	2	no	—
511	(C₂×D₄₇)⋊C₄	—	2	2	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	C₄⋊Dic₄₇	—	2	2	no	—
519	C₄⋊Dic₄₇	—	2	2	no	—
520	C₄⋊Dic₄₇	—	4	1	no	—
521	C₄⋊Dic₄₇	—	4	1	no	—
522	C₄⋊Dic₄₇	—	4	1	no	—
523	C₄⋊Dic₄₇	—	4	1	no	—
524	C₄⋊Dic₄₇	—	4	1	no	—
525	C₄⋊Dic₄₇	—	4	1	no	—
526	C₄⋊Dic₄₇	—	4	1	no	—
527	Dic₄₇⋊C₄	—	2	2	no	—
528	Dic₄₇⋊C₄	—	2	2	no	—
529	Dic₄₇⋊C₄	—	4	1	no	—
530	Dic₄₇⋊C₄	—	4	1	no	—
531	Dic₄₇⋊C₄	—	4	1	no	—
532	Dic₄₇⋊C₄	—	4	1	no	—
533	Dic₄₇⋊C₄	—	4	1	no	—
534	Dic₄₇⋊C₄	—	4	1	no	—
535	Dic₄₇⋊C₄	—	4	1	no	—
536	Dic₄₇⋊C₄	—	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	C₄×Dic₄₇	—	4	1	no	—
544	C₄×Dic₄₇	—	4	1	no	—
545	C₄×Dic₄₇	—	4	1	no	—
546	C₄×Dic₄₇	—	4	1	no	—
547	C₄×Dic₄₇	—	4	1	no	—
548	C₂³×C₄₇	—	2	1	no	—
549	C₂³×C₄₇	—	2	1	no	—
550	C₂³×C₄₇	—	2	1	no	—
551	C₂³×C₄₇	—	2	1	no	—
552	C₂³×C₄₇	—	2	1	no	—
553	C₂³×C₄₇	—	2	1	no	—
554	C₂³×C₄₇	—	2	1	no	—
555	C₂³×C₄₇	—	2	1	no	—
556	C₂³×C₄₇	—	2	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	C₂×#41	1	2	yes	—
569	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
570	C₂²×D₄₇	—	2	1	no	—
571	C₂²×D₄₇	—	2	1	no	—
572	C₂²×D₄₇	—	2	1	no	—
573	C₂²×D₄₇	—	2	1	no	—
574	C₂²×D₄₇	—	2	1	no	—
575	C₂²×D₄₇	—	2	1	no	—
576	C₂²×D₄₇	—	2	1	no	—
577	C₂²×D₄₇	—	2	1	no	—
578	C₂²×D₄₇	—	2	1	no	—
579	C₂²×D₄₇	—	2	1	no	—
580	C₂²×D₄₇	—	2	8	no	—
581	C₂²×D₄₇	—	4	4	no	—
582	C₂²×D₄₇	—	4	4	no	—
583	C₂²×D₄₇	—	4	4	no	—
584	C₂²×D₄₇	—	4	4	no	—
585	C₂²×D₄₇	—	4	4	no	—
586	C₂²×D₄₇	—	4	4	no	—
587	C₂²×D₄₇	C₂×#41	1	2	yes	—
588	C₂²×D₄₇	C₂×#41	1	2	yes	—
589	C₂²×D₄₇	H(5,𝔽₂)	1	2	yes	—
590	C₂²×D₄₇	2₋¹⁺⁴	1	2	yes	—
591	Q₈×C₄₇	—	8	2	no	—
592	D₄×C₄₇	—	8	2	no	—
593	D₄×C₄₇	—	8	2	no	—
594	D₄×C₄₇	—	8	2	no	—
595	C₂×C₄×C₄₇	—	2	1	no	—
596	C₂×C₄×C₄₇	—	2	1	no	—
597	C₂×C₄×C₄₇	—	2	1	no	—
598	C₂×C₄×C₄₇	—	2	1	no	—
599	C₂×C₄×C₄₇	—	2	1	no	—
600	C₂×C₄×C₄₇	—	2	1	no	—
601	C₂×C₄×C₄₇	—	2	1	no	—
602	C₂×C₄×C₄₇	—	2	1	no	—
603	C₂×C₄×C₄₇	—	2	1	no	—
604	C₂×C₄×C₄₇	—	2	1	no	—
605	C₂×C₄×C₄₇	—	2	1	no	—
606	C₂×C₄×C₄₇	—	2	1	no	—
607	C₂×C₄×C₄₇	—	2	1	no	—
608	C₂×C₄×C₄₇	—	2	1	no	—
609	C₂×C₄×C₄₇	—	2	1	no	—
610	C₂×C₄×C₄₇	—	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	—	4	4	no	—
630	C₂×C₄×C₄₇	—	8	2	no	—
631	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
632	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
633	C₂²⋊D₄₇	—	4	4	no	—
634	C₂²⋊D₄₇	—	4	4	no	—
635	C₂²⋊D₄₇	—	8	2	no	—
636	C₂²⋊D₄₇	—	8	2	no	—
637	C₂×Dic₄₇	—	2	1	no	—
638	C₂×Dic₄₇	—	2	1	no	—
639	C₂×Dic₄₇	—	2	1	no	—
640	C₂×Dic₄₇	—	2	1	no	—
641	C₂×Dic₄₇	—	2	1	no	—
642	C₂×Dic₄₇	—	2	1	no	—
643	C₂×Dic₄₇	—	2	1	no	—
644	C₂×Dic₄₇	—	2	1	no	—
645	C₂×Dic₄₇	—	2	1	no	—
646	C₂×Dic₄₇	—	2	1	no	—
647	C₂×Dic₄₇	—	2	1	no	—
648	C₂×Dic₄₇	—	2	1	no	—
649	C₂×Dic₄₇	—	2	1	no	—
650	C₂×Dic₄₇	—	2	1	no	—
651	C₂×Dic₄₇	—	2	1	no	—
652	C₂×Dic₄₇	—	2	1	no	—
653	C₂×Dic₄₇	—	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	—	4	4	no	—
680	C₂×Dic₄₇	—	8	2	no	—
681	C₄×D₄₇	—	4	4	no	—
682	C₄×D₄₇	—	4	4	no	—
683	C₄×D₄₇	—	4	4	no	—
684	C₄×D₄₇	—	4	4	no	—
685	C₄×D₄₇	—	4	4	no	—
686	C₄×D₄₇	—	4	4	no	—
687	C₄×D₄₇	—	8	2	no	—
688	C₄×D₄₇	—	8	2	no	—
689	#36757	—	47	1	no	maximal, Sylow
690	C₂²×C₄₇	—	2	2	no	—
691	C₂²×C₄₇	—	2	2	no	—
692	C₂²×C₄₇	—	2	2	no	—
693	C₂²×C₄₇	—	4	1	no	—
694	C₂²×C₄₇	—	4	1	no	—
695	C₂²×C₄₇	—	4	1	no	—
696	C₂²×C₄₇	—	4	1	no	—
697	C₂²×C₄₇	—	4	1	no	—
698	C₂²×C₄₇	—	4	1	no	—
699	C₂²×C₄₇	—	4	1	no	—
700	C₂²×C₄₇	—	4	1	no	—
701	C₂²×C₄₇	—	4	1	no	—
702	C₂²×C₄₇	—	4	1	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	C₂²×#41	1	1	yes	characteristic
712	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
713	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
714	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
715	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
716	C₂²×C₄₇	#585	1	1	yes	characteristic
717	C₂²×C₄₇	#585	1	1	yes	characteristic
718	C₂×D₄₇	—	2	2	no	—
719	C₂×D₄₇	—	2	2	no	—
720	C₂×D₄₇	—	2	2	no	—
721	C₂×D₄₇	—	2	2	no	—
722	C₂×D₄₇	—	2	2	no	—
723	C₂×D₄₇	—	2	2	no	—
724	C₂×D₄₇	—	2	2	no	—
725	C₂×D₄₇	—	2	2	no	—
726	C₂×D₄₇	—	2	2	no	—
727	C₂×D₄₇	—	4	16	no	—
728	C₂×D₄₇	—	4	1	no	—
729	C₂×D₄₇	—	4	1	no	—
730	C₂×D₄₇	—	4	1	no	—
731	C₂×D₄₇	—	4	1	no	—
732	C₂×D₄₇	#539	1	4	yes	—
733	C₄×C₄₇	—	2	2	no	—
734	C₄×C₄₇	—	2	2	no	—
735	C₄×C₄₇	—	4	1	no	—
736	C₄×C₄₇	—	4	1	no	—
737	C₄×C₄₇	—	4	1	no	—
738	C₄×C₄₇	—	4	1	no	—
739	C₄×C₄₇	—	4	1	no	—
740	C₄×C₄₇	—	4	1	no	—
741	C₄×C₄₇	—	4	1	no	—
742	C₄×C₄₇	—	4	1	no	—
743	C₄×C₄₇	—	4	1	no	—
744	C₄×C₄₇	—	4	1	no	—
745	Dic₄₇	—	4	1	no	—
746	Dic₄₇	—	4	1	no	—
747	Dic₄₇	—	4	1	no	—
748	Dic₄₇	—	4	1	no	—
749	Dic₄₇	—	4	1	no	—
750	Dic₄₇	—	4	1	no	—
751	Dic₄₇	—	4	1	no	—
752	Dic₄₇	—	4	1	no	—
753	Dic₄₇	—	4	1	no	—
754	Dic₄₇	—	4	1	no	—
755	Dic₄₇	—	4	1	no	—
756	Dic₄₇	—	4	1	no	—
757	Dic₄₇	—	4	1	no	—
758	Dic₄₇	—	4	1	no	—
759	#2848	—	47	1	no	—
760	#2847	—	47	1	no	—
761	#2796	—	47	1	no	—
762	#2787	—	47	1	no	—
763	#2786	—	47	1	no	—
764	#2782	—	47	1	no	—
765	#2770	—	47	1	no	—
766	#2757	—	47	1	no	—
767	#2750	—	47	1	no	—
768	#2747	—	47	1	no	—
769	#2746	—	47	1	no	—
770	#2728	—	47	1	no	—
771	#2723	—	47	1	no	—
772	#2711	—	47	1	no	—
773	#2708	—	47	1	no	—
774	#2691	—	47	1	no	—
775	#2690	—	47	1	no	—
776	#2681	D₄₇	1	1	yes	characteristic, complemented
777	#2622	—	47	1	no	—
778	#2622	—	47	1	no	—
779	#2510	—	47	1	no	—
780	#2505	—	47	1	no	—
781	#2481	—	47	1	no	—
782	#2473	—	47	1	no	—
783	#2450	—	47	1	no	—
784	#2449	—	47	1	no	—
785	#2444	—	47	1	no	—
786	#2443	—	47	1	no	—
787	#2321	—	47	1	no	—
788	#2321	—	47	1	no	—
789	C₂×#385	—	47	1	no	—
790	C₂×C₄₇	—	4	2	no	—
791	C₂×C₄₇	—	8	1	no	—
792	C₂×C₄₇	—	8	1	no	—
793	C₂×C₄₇	C₂×#539	1	1	yes	characteristic
794	C₂×C₄₇	#3505	1	1	yes	characteristic
795	C₂×C₄₇	#3505	1	1	yes	characteristic
796	C₂×C₄₇	#3532	1	1	yes	characteristic
797	C₂×C₄₇	#3533	1	1	yes	characteristic
798	C₂×C₄₇	#3541	1	1	yes	characteristic
799	C₂×C₄₇	#3541	1	1	yes	characteristic
800	D₄₇	—	2	4	no	—
801	D₄₇	—	4	2	no	—
802	C₂⁴×C₄	—	47	1	no	—
803	C₂×#126	—	47	1	no	—
804	C₂×#125	—	47	1	no	—
805	C₂×#123	C₂×D₄₇	1	1	yes	characteristic, complemented
806	C₂×C₂²⋊Q₈	—	47	1	no	—
807	C₂×C₂²⋊Q₈	—	47	1	no	—
808	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
809	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
810	C₂×#121	—	47	1	no	—
811	C₂×#121	—	47	1	no	—
812	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
813	C₂×#120	—	47	1	no	—
814	C₂×#120	—	47	1	no	—
815	C₂×C₄×D₄	—	47	1	no	—
816	C₂×C₄×D₄	—	47	1	no	—
817	C₂²×C₄⋊C₄	—	47	1	no	—
818	C₂²×C₄⋊C₄	—	47	1	no	—
819	C₂²×C₂²⋊C₄	—	47	1	no	—
820	C₂²×C₂²⋊C₄	—	47	1	no	—
821	#401	—	47	1	no	—
822	#400	—	47	1	no	—
823	#400	—	47	1	no	—
824	#400	—	47	1	no	—
825	#400	—	47	1	no	—
826	#400	—	47	1	no	—
827	#400	—	47	1	no	—
828	#400	—	47	1	no	—
829	#400	—	47	1	no	—
830	#400	—	47	1	no	—
831	#399	—	47	1	no	—
832	#399	—	47	1	no	—
833	#398	—	47	1	no	—
834	#398	—	47	1	no	—
835	#398	—	47	1	no	—
836	#398	—	47	1	no	—
837	#398	—	47	1	no	—
838	#398	—	47	1	no	—
839	#398	C₂×D₄₇	1	1	yes	characteristic, complemented
840	#397	—	47	1	no	—
841	#397	—	47	1	no	—
842	#397	—	47	1	no	—
843	#397	—	47	1	no	—
844	#397	—	47	1	no	—
845	#397	—	47	1	no	—
846	#397	—	47	1	no	—
847	#397	—	47	1	no	—
848	#397	—	47	1	no	—
849	#397	—	47	1	no	—
850	#397	—	47	1	no	—
851	#397	—	47	1	no	—
852	#397	—	47	1	no	—
853	#397	—	47	1	no	—
854	#396	—	47	1	no	—
855	#396	—	47	1	no	—
856	#396	C₂×D₄₇	1	1	yes	characteristic, complemented
857	#395	—	47	1	no	—
858	#394	—	47	1	no	—
859	#394	—	47	1	no	—
860	#394	—	47	1	no	—
861	#394	—	47	1	no	—
862	#394	—	47	1	no	—
863	#394	—	47	1	no	—
864	#394	—	47	1	no	—
865	#394	C₂×D₄₇	1	1	yes	characteristic
866	#394	C₂×D₄₇	1	1	yes	characteristic
867	#394	C₂×D₄₇	1	1	yes	characteristic, complemented
868	#393	C₂×D₄₇	1	1	yes	characteristic, complemented
869	#391	—	47	1	no	—
870	#390	—	47	1	no	—
871	#390	—	47	1	no	—
872	#390	—	47	1	no	—
873	#390	C₂×D₄₇	1	1	yes	characteristic
874	#389	—	47	1	no	—
875	#389	—	47	1	no	—
876	#389	C₂×D₄₇	1	1	yes	characteristic, complemented
877	#388	—	47	1	no	—
878	#388	—	47	1	no	—
879	#388	—	47	1	no	—
880	#388	—	47	1	no	—
881	#388	—	47	1	no	—
882	#388	—	47	1	no	—
883	#388	—	47	1	no	—
884	#388	—	47	1	no	—
885	#388	—	47	1	no	—
886	#388	—	47	1	no	—
887	#388	—	47	1	no	—
888	#388	—	47	1	no	—
889	#388	C₂×D₄₇	1	1	yes	characteristic, complemented
890	#387	—	47	1	no	—
891	#387	—	47	1	no	—
892	#387	—	47	1	no	—
893	#387	—	47	1	no	—
894	#387	—	47	1	no	—
895	#387	—	47	1	no	—
896	#387	—	47	1	no	—
897	#387	—	47	1	no	—
898	#387	—	47	1	no	—
899	#387	—	47	1	no	—
900	#387	—	47	1	no	—
901	#386	—	47	1	no	—
902	#386	—	47	1	no	—
903	#386	—	47	1	no	—
904	#386	—	47	1	no	—
905	#386	—	47	1	no	—
906	#386	—	47	1	no	—
907	#386	—	47	1	no	—
908	#386	—	47	1	no	—
909	#386	—	47	1	no	—
910	#386	—	47	1	no	—
911	#386	—	47	1	no	—
912	#386	—	47	1	no	—
913	#386	—	47	1	no	—
914	#386	—	47	1	no	—
915	#386	—	47	1	no	—
916	#386	—	47	1	no	—
917	#386	C₂×D₄₇	1	1	yes	characteristic
918	#385	—	47	1	no	—
919	#385	—	47	1	no	—
920	#385	—	47	1	no	—
921	#385	—	47	1	no	—
922	#385	—	47	1	no	—
923	#385	—	47	1	no	—
924	#385	—	47	1	no	—
925	#385	—	47	1	no	—
926	#385	—	47	1	no	—
927	#385	—	47	1	no	—
928	#385	—	47	1	no	—
929	#385	—	47	1	no	—
930	#385	—	47	1	no	—
931	#385	—	47	1	no	—
932	#385	—	47	1	no	—
933	#385	—	47	1	no	—
934	#385	—	47	1	no	—
935	#385	—	47	1	no	—
936	#385	—	47	1	no	—
937	#385	—	47	1	no	—
938	#385	—	47	1	no	—
939	#385	—	47	1	no	—
940	#385	C₂×D₄₇	1	1	yes	characteristic
941	#383	—	47	1	no	—
942	#382	—	47	1	no	—
943	#381	—	47	1	no	—
944	#380	—	47	1	no	—
945	#380	—	47	1	no	—
946	#380	—	47	1	no	—
947	#380	—	47	1	no	—
948	#380	—	47	1	no	—
949	#380	—	47	1	no	—
950	#380	—	47	1	no	—
951	#379	—	47	1	no	—
952	#379	—	47	1	no	—
953	C₄×C₂²⋊C₄	—	47	1	no	—
954	C₄×C₂²⋊C₄	—	47	1	no	—
955	C₂×#95	—	47	1	no	—
956	C₂×#95	—	47	1	no	—
957	C₄₇	#36757	1	1	yes	characteristic, complemented, Sylow
958	C₂⁵	—	47	1	no	—
959	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
960	C₂²×D₄	—	47	1	no	—
961	C₂²×D₄	—	47	1	no	—
962	C₂²×D₄	—	47	1	no	—
963	C₂²×D₄	—	47	1	no	—
964	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
965	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
966	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
967	C₂³×C₄	—	47	1	no	—
968	C₂³×C₄	—	47	1	no	—
969	C₂³×C₄	—	47	1	no	—
970	C₂³×C₄	—	47	1	no	—
971	C₂³×C₄	—	47	1	no	—
972	C₂³×C₄	—	47	1	no	—
973	C₂³×C₄	—	47	1	no	—
974	C₂³×C₄	—	47	1	no	—
975	C₂³×C₄	—	47	1	no	—
976	C₂³×C₄	—	47	1	no	—
977	C₂³×C₄	—	188	2	no	—
978	C₂³×C₄	—	188	2	no	—
979	C₂³×C₄	—	188	2	no	—
980	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
981	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
982	#126	—	188	2	no	—
983	#125	—	188	2	no	—
984	#123	—	4	2	no	—
985	C₂²⋊Q₈	—	4	2	no	—
986	C₂²⋊Q₈	—	4	2	no	—
987	C₂²⋊Q₈	—	188	2	no	—
988	C₂²⋊Q₈	—	188	2	no	—
989	#121	—	4	2	no	—
990	#121	—	188	2	no	—
991	#121	—	188	2	no	—
992	#120	—	94	4	no	—
993	#120	—	94	4	no	—
994	C₄×D₄	—	188	2	no	—
995	C₄×D₄	—	188	2	no	—
996	C₂×C₄⋊C₄	—	47	1	no	—
997	C₂×C₄⋊C₄	—	47	1	no	—
998	C₂×C₄⋊C₄	—	47	1	no	—
999	C₂×C₄⋊C₄	—	47	1	no	—
1000	C₂×C₄⋊C₄	—	47	1	no	—
1001	C₂×C₄⋊C₄	—	47	1	no	—
1002	C₂×C₄⋊C₄	—	47	1	no	—
1003	C₂×C₄⋊C₄	—	47	1	no	—
1004	C₂×C₄⋊C₄	—	47	1	no	—
1005	C₂×C₄⋊C₄	—	47	1	no	—
1006	C₂×C₄⋊C₄	—	47	1	no	—
1007	C₂×C₄⋊C₄	—	47	1	no	—
1008	C₂×C₄⋊C₄	—	47	1	no	—
1009	C₂×C₄⋊C₄	—	47	1	no	—
1010	C₂×C₄⋊C₄	—	47	1	no	—
1011	C₂×C₄⋊C₄	—	47	1	no	—
1012	C₂×C₄⋊C₄	—	47	1	no	—
1013	C₂×C₄⋊C₄	—	47	1	no	—
1014	C₂×C₄⋊C₄	—	47	1	no	—
1015	C₂×C₄⋊C₄	—	47	1	no	—
1016	C₂×C₄⋊C₄	—	47	1	no	—
1017	C₂×C₄⋊C₄	—	47	1	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	—	188	2	no	—
1022	C₂×C₄⋊C₄	—	188	2	no	—
1023	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	—	47	1	no	—
1033	C₂×C₂²⋊C₄	—	47	1	no	—
1034	C₂×C₂²⋊C₄	—	47	1	no	—
1035	C₂×C₂²⋊C₄	—	47	1	no	—
1036	C₂×C₂²⋊C₄	—	47	1	no	—
1037	C₂×C₂²⋊C₄	—	47	1	no	—
1038	C₂×C₂²⋊C₄	—	47	1	no	—
1039	C₂×C₂²⋊C₄	—	47	1	no	—
1040	C₂×C₂²⋊C₄	—	47	1	no	—
1041	C₂×C₂²⋊C₄	—	47	1	no	—
1042	C₂×C₂²⋊C₄	—	47	1	no	—
1043	C₂×C₂²⋊C₄	—	47	1	no	—
1044	C₂×C₂²⋊C₄	—	47	1	no	—
1045	C₂×C₂²⋊C₄	—	47	1	no	—
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	—	94	4	no	—
1066	C₂×C₂²⋊C₄	—	188	2	no	—
1067	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1080	C₂×C₄²	—	47	1	no	—
1081	C₂×C₄²	—	47	1	no	—
1082	C₂×C₄²	—	47	1	no	—
1083	C₂×C₄²	—	47	1	no	—
1084	C₂×C₄²	—	47	1	no	—
1085	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1086	#95	—	47	1	no	—
1087	#95	—	47	1	no	—
1088	#95	—	47	1	no	—
1089	#95	—	47	1	no	—
1090	#95	—	47	1	no	—
1091	#95	—	47	1	no	—
1092	#95	—	47	1	no	—
1093	#95	—	47	1	no	—
1094	#95	—	47	1	no	—
1095	#95	—	47	1	no	—
1096	#95	—	47	1	no	—
1097	#95	—	47	1	no	—
1098	#95	—	47	1	no	—
1099	#95	—	47	1	no	—
1100	#95	—	47	1	no	—
1101	#95	—	47	1	no	—
1102	#95	—	47	1	no	—
1103	#95	—	47	1	no	—
1104	#95	—	47	1	no	—
1105	#95	—	47	1	no	—
1106	#95	—	47	1	no	—
1107	#95	—	47	1	no	—
1108	#95	—	47	1	no	—
1109	#95	—	47	1	no	—
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	C₂²×D₄₇	1	1	yes	characteristic
1129	#95	C₂²×D₄₇	1	1	yes	characteristic
1130	#95	C₂²×D₄₇	1	1	yes	characteristic
1131	#95	C₂²×D₄₇	1	1	yes	characteristic
1132	#95	C₂²×D₄₇	1	1	yes	characteristic
1133	#95	C₂²×D₄₇	1	1	yes	characteristic
1134	C₂⁴	—	47	1	no	—
1135	C₂⁴	—	47	1	no	—
1136	C₂⁴	—	47	4	no	—
1137	C₂⁴	—	94	2	no	—
1138	C₂⁴	—	94	2	no	—
1139	C₂⁴	—	188	1	no	—
1140	C₂⁴	—	188	1	no	—
1141	C₂⁴	—	188	1	no	—
1142	C₂⁴	—	188	1	no	—
1143	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1144	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1145	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1146	C₂×Q₈	—	2	2	no	—
1147	C₂×Q₈	—	4	1	no	—
1148	C₂×Q₈	—	4	1	no	—
1149	C₂×D₄	—	2	2	no	—
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	2	2	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	—	4	1	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	94	2	no	—
1159	C₂×D₄	—	94	2	no	—
1160	C₂×D₄	—	94	2	no	—
1161	C₂×D₄	—	94	2	no	—
1162	C₂×D₄	—	94	2	no	—
1163	C₂×D₄	—	94	2	no	—
1164	C₂×D₄	—	94	2	no	—
1165	C₂×D₄	—	94	2	no	—
1166	C₂×D₄	—	188	1	no	—
1167	C₂×D₄	—	188	1	no	—
1168	C₂×D₄	—	188	1	no	—
1169	C₂×D₄	—	188	1	no	—
1170	C₂²×C₄	—	2	2	no	—
1171	C₂²×C₄	—	2	2	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	47	1	no	—
1177	C₂²×C₄	—	47	1	no	—
1178	C₂²×C₄	—	47	1	no	—
1179	C₂²×C₄	—	47	1	no	—
1180	C₂²×C₄	—	47	1	no	—
1181	C₂²×C₄	—	47	1	no	—
1182	C₂²×C₄	—	47	1	no	—
1183	C₂²×C₄	—	47	1	no	—
1184	C₂²×C₄	—	47	1	no	—
1185	C₂²×C₄	—	47	1	no	—
1186	C₂²×C₄	—	47	1	no	—
1187	C₂²×C₄	—	47	1	no	—
1188	C₂²×C₄	—	47	1	no	—
1189	C₂²×C₄	—	47	1	no	—
1190	C₂²×C₄	—	94	2	no	—
1191	C₂²×C₄	—	94	2	no	—
1192	C₂²×C₄	—	94	2	no	—
1193	C₂²×C₄	—	94	2	no	—
1194	C₂²×C₄	—	94	2	no	—
1195	C₂²×C₄	—	94	2	no	—
1196	C₂²×C₄	—	94	2	no	—
1197	C₂²×C₄	—	94	2	no	—
1198	C₂²×C₄	—	94	2	no	—
1199	C₂²×C₄	—	94	2	no	—
1200	C₂²×C₄	—	188	1	no	—
1201	C₂²×C₄	—	188	1	no	—
1202	C₂²×C₄	—	188	1	no	—
1203	C₂²×C₄	—	188	1	no	—
1204	C₂²×C₄	—	188	1	no	—
1205	C₂²×C₄	—	188	1	no	—
1206	C₂²×C₄	—	188	1	no	—
1207	C₂²×C₄	—	188	1	no	—
1208	C₂²×C₄	—	188	1	no	—
1209	C₂²×C₄	—	188	1	no	—
1210	C₂²×C₄	—	188	1	no	—
1211	C₂²×C₄	—	188	1	no	—
1212	C₂²×C₄	—	188	1	no	—
1213	C₂²×C₄	—	188	1	no	—
1214	C₂²×C₄	—	188	16	no	—
1215	C₂²×C₄	—	188	1	no	—
1216	C₂²×C₄	—	188	1	no	—
1217	C₂²×C₄	—	188	1	no	—
1218	C₂²×C₄	—	188	1	no	—
1219	C₂²×C₄	—	188	1	no	—
1220	C₂²×C₄	—	188	1	no	—
1221	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1225	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1226	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1227	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1228	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1229	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1230	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	2	2	no	—
1236	C₄⋊C₄	—	2	2	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	94	2	no	—
1243	C₄⋊C₄	—	94	2	no	—
1244	C₄⋊C₄	—	94	2	no	—
1245	C₄⋊C₄	—	94	2	no	—
1246	C₄⋊C₄	—	188	1	no	—
1247	C₄⋊C₄	—	188	1	no	—
1248	C₄⋊C₄	—	188	1	no	—
1249	C₄⋊C₄	—	188	1	no	—
1250	C₄⋊C₄	—	188	1	no	—
1251	C₄⋊C₄	—	188	1	no	—
1252	C₄⋊C₄	—	188	1	no	—
1253	C₄⋊C₄	—	188	1	no	—
1254	C₄⋊C₄	—	188	1	no	—
1255	C₄⋊C₄	—	188	1	no	—
1256	C₄⋊C₄	—	188	1	no	—
1257	C₄⋊C₄	—	188	1	no	—
1258	C₄⋊C₄	—	188	1	no	—
1259	C₄⋊C₄	—	188	1	no	—
1260	C₄⋊C₄	—	188	1	no	—
1261	C₄⋊C₄	—	188	1	no	—
1262	C₄⋊C₄	—	188	1	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	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	2	2	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	94	2	no	—
1281	C₂²⋊C₄	—	94	2	no	—
1282	C₂²⋊C₄	—	94	2	no	—
1283	C₂²⋊C₄	—	94	2	no	—
1284	C₂²⋊C₄	—	94	2	no	—
1285	C₂²⋊C₄	—	94	2	no	—
1286	C₂²⋊C₄	—	94	2	no	—
1287	C₂²⋊C₄	—	94	2	no	—
1288	C₂²⋊C₄	—	94	2	no	—
1289	C₂²⋊C₄	—	94	2	no	—
1290	C₂²⋊C₄	—	94	2	no	—
1291	C₂²⋊C₄	—	94	2	no	—
1292	C₂²⋊C₄	—	94	2	no	—
1293	C₂²⋊C₄	—	188	1	no	—
1294	C₂²⋊C₄	—	188	1	no	—
1295	C₂²⋊C₄	—	188	1	no	—
1296	C₂²⋊C₄	—	188	1	no	—
1297	C₂²⋊C₄	—	188	1	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	C₄²	—	4	1	no	—
1314	C₄²	—	188	1	no	—
1315	C₄²	—	188	1	no	—
1316	C₄²	—	188	1	no	—
1317	C₄²	—	188	1	no	—
1318	C₄²	—	188	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	47	2	no	—
1340	C₂³	—	47	2	no	—
1341	C₂³	—	47	2	no	—
1342	C₂³	—	47	2	no	—
1343	C₂³	—	94	8	no	—
1344	C₂³	—	94	1	no	—
1345	C₂³	—	94	1	no	—
1346	C₂³	—	94	1	no	—
1347	C₂³	—	94	1	no	—
1348	C₂³	—	94	1	no	—
1349	C₂³	—	94	1	no	—
1350	C₂³	—	94	1	no	—
1351	C₂³	—	94	1	no	—
1352	C₂³	—	94	1	no	—
1353	C₂³	—	94	1	no	—
1354	C₂³	—	188	4	no	—
1355	C₂³	—	188	4	no	—
1356	C₂³	—	188	4	no	—
1357	C₂³	—	188	4	no	—
1358	C₂³	—	188	4	no	—
1359	C₂³	—	188	4	no	—
1360	C₂³	#41×D₄₇	1	2	yes	—
1361	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1362	Q₈	—	8	2	no	—
1363	D₄	—	8	2	no	—
1364	D₄	—	8	2	no	—
1365	D₄	—	8	2	no	—
1366	D₄	—	376	2	no	—
1367	D₄	—	376	2	no	—
1368	D₄	—	188	4	no	—
1369	D₄	—	188	4	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	8	2	no	—
1406	C₂×C₄	—	94	1	no	—
1407	C₂×C₄	—	94	1	no	—
1408	C₂×C₄	—	94	1	no	—
1409	C₂×C₄	—	94	1	no	—
1410	C₂×C₄	—	94	1	no	—
1411	C₂×C₄	—	94	1	no	—
1412	C₂×C₄	—	94	1	no	—
1413	C₂×C₄	—	94	1	no	—
1414	C₂×C₄	—	94	1	no	—
1415	C₂×C₄	—	94	1	no	—
1416	C₂×C₄	—	94	1	no	—
1417	C₂×C₄	—	94	1	no	—
1418	C₂×C₄	—	94	1	no	—
1419	C₂×C₄	—	94	1	no	—
1420	C₂×C₄	—	94	1	no	—
1421	C₂×C₄	—	94	1	no	—
1422	C₂×C₄	—	94	1	no	—
1423	C₂×C₄	—	94	1	no	—
1424	C₂×C₄	—	94	1	no	—
1425	C₂×C₄	—	94	1	no	—
1426	C₂×C₄	—	94	1	no	—
1427	C₂×C₄	—	94	1	no	—
1428	C₂×C₄	—	94	1	no	—
1429	C₂×C₄	—	94	1	no	—
1430	C₂×C₄	—	94	1	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	—	376	2	no	—
1449	C₂×C₄	—	376	2	no	—
1450	C₂×C₄	—	376	2	no	—
1451	C₂×C₄	—	188	4	no	—
1452	C₂×C₄	—	188	4	no	—
1453	C₂×C₄	—	188	4	no	—
1454	C₂×C₄	—	188	4	no	—
1455	C₂×C₄	—	188	4	no	—
1456	C₂×C₄	—	188	4	no	—
1457	C₂×C₄	—	188	4	no	—
1458	C₂×C₄	#13094069	1	2	yes	—
1459	C₂×C₄	#13094069	1	2	yes	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	47	4	no	—
1482	C₂²	—	94	2	no	—
1483	C₂²	—	94	2	no	—
1484	C₂²	—	94	2	no	—
1485	C₂²	—	94	2	no	—
1486	C₂²	—	94	2	no	—
1487	C₂²	—	94	2	no	—
1488	C₂²	—	94	2	no	—
1489	C₂²	—	94	2	no	—
1490	C₂²	—	94	2	no	—
1491	C₂²	—	188	16	no	—
1492	C₂²	—	188	1	no	—
1493	C₂²	—	188	1	no	—
1494	C₂²	—	188	1	no	—
1495	C₂²	—	188	1	no	—
1496	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1497	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1498	C₂²	C₂×#13094069	1	1	yes	characteristic
1499	C₂²	C₂×#13094069	1	1	yes	characteristic
1500	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1501	C₂²	#15689958	1	1	yes	characteristic
1502	C₂²	#15689960	1	1	yes	characteristic
1503	C₄	—	2	2	no	—
1504	C₄	—	2	2	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	188	1	no	—
1516	C₄	—	188	1	no	—
1517	C₄	—	188	1	no	—
1518	C₄	—	188	1	no	—
1519	C₄	—	188	1	no	—
1520	C₄	—	188	1	no	—
1521	C₄	—	188	1	no	—
1522	C₄	—	188	1	no	—
1523	C₄	—	188	1	no	—
1524	C₄	—	188	1	no	—
1525	C₄	—	188	1	no	—
1526	C₄	—	188	1	no	—
1527	C₄	—	188	1	no	—
1528	C₄	—	188	1	no	—
1529	C₂	—	4	2	no	—
1530	C₂	—	8	1	no	—
1531	C₂	—	8	1	no	—
1532	C₂	—	94	4	no	—
1533	C₂	—	188	2	no	—
1534	C₂	#539×D₄₇	1	1	yes	characteristic
1535	C₂	#20257215	1	1	yes	characteristic
1536	C₂	#20257224	1	1	yes	characteristic
1537	C₂	#20257538	1	1	yes	characteristic
1538	C₂	#20257550	1	1	yes	characteristic
1539	C₂	#20257669	1	1	yes	characteristic
1540	C₂	#20257683	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2681	C₂
prime radical	#20251667	C₂
hypercenter	#2681	D₄₇
hypocenter	C₄₇	#36757
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2681

Complements

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

N	H ≅ G/N	type
1. #20251672	C₂	semidirect
3. #20251232	C₂	semidirect
4. #20251121	C₂	semidirect
5. #20251098	C₂	semidirect
6. #20251061	C₂	semidirect
7. #20250892	C₂	semidirect
8. #20250725	C₂	semidirect
9. #20250632	C₂	semidirect
10. #20250591	C₂	semidirect
11. #20250574	C₂	semidirect
12. #20250355	C₂	semidirect
13. #20250314	C₂	semidirect
14. #20250150	C₂	semidirect
15. #20250102	C₂	semidirect
16. #20249865	C₂	semidirect
17. #20249850	C₂	semidirect
18. #20249160	C₂	semidirect
19. #20249160	C₂	semidirect
20. #20247953	C₂	semidirect
21. #20247894	C₂	semidirect
22. #20247650	C₂	semidirect
23. #20247532	C₂	semidirect
24. #20247205	C₂	semidirect
25. #20247194	C₂	semidirect
26. #20247131	C₂	semidirect
27. #20247120	C₂	semidirect
28. #20246047	C₂	semidirect
29. #20246044	C₂	semidirect
30. #385×D₄₇	C₂	semidirect
31. C₄₇×#2681	C₂	semidirect
33. C₂×#13094017	C₂²	semidirect
34. C₂×#13094015	C₂²	semidirect
47. C₄₇⋊#401	C₂²	semidirect
48. #15689065	C₂²	semidirect
49. #15689065	C₂²	semidirect
50. #15689064	C₂²	semidirect
51. #15689064	C₂²	semidirect
52. #15689062	C₂²	semidirect
53. #15689062	C₂²	semidirect
54. #15689062	C₂²	semidirect
55. #15689062	C₂²	semidirect
56. #15689061	C₂²	semidirect
57. #15689059	C₂²	semidirect
58. #15689059	C₂²	semidirect
59. #15689057	C₂²	semidirect
60. #15689056	C₂²	semidirect
61. #15689056	C₂²	semidirect
62. #15689056	C₂²	semidirect
63. #15689053	C₂²	semidirect
64. #15689053	C₂²	semidirect
69. #15689051	C₂²	semidirect
70. #15689051	C₂²	semidirect
71. #15689051	C₂²	semidirect
72. #15689051	C₂²	semidirect
77. #15689048	C₂²	semidirect
78. #15689048	C₂²	semidirect
79. #15689046	C₂²	semidirect
80. #15689046	C₂²	semidirect
81. #15689042	C₂²	semidirect
88. #15689037	C₂²	semidirect
89. #15689030	C₂²	semidirect
93. #15689020	C₂²	semidirect
94. #15689018	C₂²	semidirect
97. #15689017	C₂²	semidirect
98. #15689017	C₂²	semidirect
99. #15689016	C₂²	semidirect
100. #15689016	C₂²	semidirect
107. #15689010	C₂²	semidirect
108. #15689009	C₂²	semidirect
109. #15689009	C₂²	semidirect
110. #15689009	C₂²	semidirect
111. #15689009	C₂²	semidirect
112. #15689008	C₂²	semidirect
113. #15689008	C₂²	semidirect
114. #15689007	C₂²	semidirect
115. #15689006	C₂²	semidirect
116. #15689004	C₂²	semidirect
117. #15689004	C₂²	semidirect
121. #15689003	C₂²	semidirect
135. #15688998	C₂²	semidirect
142. #15688996	C₂²	semidirect
143. #15688996	C₂²	semidirect
156. #15688991	C₂²	semidirect
157. #15688987	C₂²	semidirect
158. #15688984	C₂²	semidirect
161. #15688981	C₂²	semidirect
172. C₂×#123×C₄₇	C₂²	semidirect
174. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
176. C₄₇×#398	C₂²	semidirect
177. C₄₇×#396	C₂²	semidirect
180. C₄₇×#394	C₂²	semidirect
181. C₄₇×#393	C₂²	semidirect
183. C₄₇×#389	C₂²	semidirect
184. C₄₇×#388	C₂²	semidirect
776. #2681	D₄₇	semidirect
805. C₂×#123	C₂×D₄₇	semidirect
809. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
839. #398	C₂×D₄₇	semidirect
856. #396	C₂×D₄₇	semidirect
867. #394	C₂×D₄₇	semidirect
868. #393	C₂×D₄₇	semidirect
876. #389	C₂×D₄₇	semidirect
889. #388	C₂×D₄₇	semidirect
957. C₄₇	#36757	semidirect

Maximal subgroups

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

subgroup	index
#20251672	2
#20251667	2
#20251232	2
#20251121	2
#20251098	2
#20251061	2
#20250892	2
#20250725	2
#20250632	2
#20250591	2
#20250574	2
#20250355	2
#20250314	2
#20250150	2
#20250102	2
#20249865	2
#20249850	2
#20249160	2
#20247953	2
#20247894	2
#20247650	2
#20247532	2
#20247205	2
#20247194	2
#20247131	2
#20247120	2
#20246047	2
#20246044	2
#385×D₄₇	2
C₄₇×#2681	2
#36757	47