Subgroups — #26389247

Order 12032.

2284 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689715	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251753	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251748	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251736	C₂	1	1	yes	maximal, characteristic, complemented
5	#20251717	C₂	1	1	yes	maximal, characteristic, complemented
6	#20249550	C₂	1	1	yes	maximal, characteristic, complemented
7	#20249549	C₂	1	1	yes	maximal, characteristic, complemented
8	#20249539	C₂	1	1	yes	maximal, characteristic, complemented
9	#20249538	C₂	1	1	yes	maximal, characteristic, complemented
10	#20248470	C₂	1	1	yes	maximal, characteristic, complemented
11	#20248468	C₂	1	1	yes	maximal, characteristic, complemented
12	#20248431	C₂	1	1	yes	maximal, characteristic, complemented
13	#20248429	C₂	1	1	yes	maximal, characteristic, complemented
14	#20247903	C₂	1	1	yes	maximal, characteristic, complemented
15	#20247857	C₂	1	1	yes	maximal, characteristic, complemented
16	#20247807	C₂	1	1	yes	maximal, characteristic, complemented
17	#20247720	C₂	1	1	yes	maximal, characteristic, complemented
18	#20247718	C₂	1	1	yes	maximal, characteristic, complemented
19	#20247693	C₂	1	1	yes	maximal, characteristic, complemented
20	#20247237	C₂	1	1	yes	maximal, characteristic, complemented
21	#20247087	C₂	1	1	yes	maximal, characteristic, complemented
22	#20246945	C₂	1	1	yes	maximal, characteristic, complemented
23	#20246943	C₂	1	1	yes	maximal, characteristic, complemented
24	#20246899	C₂	1	1	yes	maximal, characteristic, complemented
25	#20246825	C₂	1	1	yes	maximal, characteristic
26	#20246057	C₂	1	1	yes	maximal, characteristic, complemented
27	#20246053	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13093996	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#15689018	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₄×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
32	#15689715	—	2	8	no	—
33	C₂×#13094022	C₂²	1	1	yes	characteristic
34	C₂×#13094018	C₂²	1	1	yes	characteristic
35	C₂×#13094017	C₂²	1	1	yes	characteristic
36	C₂×#13094016	C₂²	1	1	yes	characteristic
37	C₂×#13094014	C₂²	1	1	yes	characteristic
38	C₂×#13094008	C₂²	1	1	yes	characteristic
39	C₂×#13094007	C₂²	1	1	yes	characteristic
40	C₂×#13094007	C₂²	1	1	yes	characteristic
41	C₂×#13094006	C₂²	1	1	yes	characteristic
42	C₂×#13094005	C₂²	1	1	yes	characteristic
43	C₂×#13094005	C₂²	1	1	yes	characteristic
44	C₂×#13094003	C₂²	1	1	yes	characteristic
45	C₂×#13094002	C₂²	1	1	yes	characteristic
46	C₂×#13094001	C₂²	1	1	yes	characteristic
47	C₂×#13093996	C₂²	1	1	yes	characteristic
48	C₂×#13093996	C₂²	1	1	yes	characteristic
49	C₂×#13093996	C₂²	1	1	yes	characteristic
50	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
51	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
54	C₂²×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
58	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
59	#15689062	C₂²	1	1	yes	characteristic
60	#15689062	C₂²	1	1	yes	characteristic
61	#15689061	C₂²	1	1	yes	characteristic
62	#15689061	C₂²	1	1	yes	characteristic
63	#15689059	C₂²	1	1	yes	characteristic
64	#15689059	C₂²	1	1	yes	characteristic
65	#15689058	C₂²	1	1	yes	characteristic
66	#15689058	C₂²	1	1	yes	characteristic
67	#15689056	C₂²	1	1	yes	characteristic
68	#15689056	C₂²	1	1	yes	characteristic
69	#15689056	C₂²	1	1	yes	characteristic
70	#15689056	C₂²	1	1	yes	characteristic
71	#15689054	C₂²	1	1	yes	characteristic
72	#15689053	C₂²	1	1	yes	characteristic
73	#15689051	C₂²	1	1	yes	characteristic
74	#15689051	C₂²	1	1	yes	characteristic
75	#15689051	C₂²	1	1	yes	characteristic
76	#15689051	C₂²	1	1	yes	characteristic
77	#15689049	C₂²	1	1	yes	characteristic
78	#15689048	C₂²	1	1	yes	characteristic
79	#15689046	C₂²	1	1	yes	characteristic
80	#15689046	C₂²	1	1	yes	characteristic
81	#15689045	C₂²	1	1	yes	characteristic
82	#15689045	C₂²	1	1	yes	characteristic
83	#15689043	C₂²	1	1	yes	characteristic
84	#15689042	C₂²	1	1	yes	characteristic
85	#15689038	C₂²	1	1	yes	characteristic
86	#15689038	C₂²	1	1	yes	characteristic
87	#15689037	C₂²	1	1	yes	characteristic
88	#15689037	C₂²	1	1	yes	characteristic
89	#15689035	C₂²	1	1	yes	characteristic
90	#15689034	C₂²	1	1	yes	characteristic
91	#15689030	C₂²	1	1	yes	characteristic
92	#15689028	C₂²	1	1	yes	characteristic
93	#15689023	C₂²	1	1	yes	characteristic
94	#15689023	C₂²	1	1	yes	characteristic
95	#15689023	C₂²	1	1	yes	characteristic
96	#15689023	C₂²	1	1	yes	characteristic
97	#15689018	C₂²	1	1	yes	characteristic
98	#15689018	C₂²	1	1	yes	characteristic
99	#15689018	C₂²	1	1	yes	characteristic
100	#15689018	C₂²	1	1	yes	characteristic
101	#15689018	C₂²	1	1	yes	characteristic
102	#15689018	C₂²	1	1	yes	characteristic
103	#15689018	C₂²	1	1	yes	characteristic
104	#15689018	C₂²	1	1	yes	characteristic
105	#15689018	C₂²	1	1	yes	characteristic
106	#15689018	C₂²	1	1	yes	characteristic
107	#15689018	C₂²	1	1	yes	characteristic
108	#15689018	C₂²	1	1	yes	characteristic
109	#15689018	C₂²	1	1	yes	characteristic
110	#15689018	C₂²	1	1	yes	characteristic
111	#15689018	C₂²	1	1	yes	characteristic
112	#15689018	C₂²	1	1	yes	characteristic
113	#15689018	C₂²	1	1	yes	characteristic
114	#15689018	C₂²	1	1	yes	characteristic
115	#15689018	C₂²	1	1	yes	characteristic
116	#15689018	C₂²	1	1	yes	characteristic
117	#15689017	C₂²	1	1	yes	characteristic
118	#15689017	C₂²	1	1	yes	characteristic
119	#15689017	C₂²	1	1	yes	characteristic
120	#15689017	C₂²	1	1	yes	characteristic
121	#15689017	C₂²	1	1	yes	characteristic
122	#15689017	C₂²	1	1	yes	characteristic
123	#15689013	C₂²	1	1	yes	characteristic
124	#15689013	C₂²	1	1	yes	characteristic
125	#15689013	C₂²	1	1	yes	characteristic
126	#15689013	C₂²	1	1	yes	characteristic
127	#15689013	C₂²	1	1	yes	characteristic
128	#15689013	C₂²	1	1	yes	characteristic
129	#15689007	C₂²	1	1	yes	characteristic
130	#15689007	C₂²	1	1	yes	characteristic
131	#15689004	C₂²	1	1	yes	characteristic
132	#15689004	C₂²	1	1	yes	characteristic
133	#15689003	C₂²	1	1	yes	characteristic
134	#15689003	C₂²	1	1	yes	characteristic
135	#15689003	C₂²	1	1	yes	characteristic
136	#15689002	C₂²	1	1	yes	characteristic
137	#15689000	C₂²	1	1	yes	characteristic
138	#15689000	C₂²	1	1	yes	characteristic
139	#15688996	C₂²	1	1	yes	characteristic
140	#15688996	C₂²	1	1	yes	characteristic
141	#15688996	C₂²	1	1	yes	characteristic
142	#15688995	C₂²	1	1	yes	characteristic
143	#15688994	C₂²	1	1	yes	characteristic
144	#15688994	C₂²	1	1	yes	characteristic
145	#15688992	C₂²	1	1	yes	characteristic
146	#15688992	C₂²	1	1	yes	characteristic
147	#15688992	C₂²	1	1	yes	characteristic
148	#15688988	C₂²	1	1	yes	characteristic
149	#15688988	C₂²	1	1	yes	characteristic
150	#15688986	C₂²	1	1	yes	characteristic
151	#15688984	C₂²	1	1	yes	characteristic
152	#15688981	C₂²	1	1	yes	characteristic
153	#15688981	C₂²	1	1	yes	characteristic
154	#15688981	C₂²	1	1	yes	characteristic
155	#15688981	C₂²	1	1	yes	characteristic
156	#15688981	C₂²	1	1	yes	characteristic
157	#15688981	C₂²	1	1	yes	characteristic
158	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
159	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
160	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×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	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
170	C₂×C₄₇⋊#95	C₂²	1	1	yes	characteristic
171	C₂×C₄₇⋊#95	C₂²	1	1	yes	characteristic
172	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
173	C₄₇×#539	—	2	8	no	—
174	C₂×#126×C₄₇	C₂²	1	1	yes	characteristic
175	C₂×#126×C₄₇	C₂²	1	1	yes	characteristic
176	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
177	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
178	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
179	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
180	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
181	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
182	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
183	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
184	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
185	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
186	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
187	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
188	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
189	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
196	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
197	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
200	#13094022	—	4	2	no	—
201	#13094018	—	2	4	no	—
202	#13094017	—	2	4	no	—
203	#13094016	—	2	4	no	—
204	#13094014	—	2	4	no	—
205	#13094008	—	2	4	no	—
206	#13094007	—	2	4	no	—
207	#13094007	—	2	4	no	—
208	#13094006	—	2	4	no	—
209	#13094005	—	2	4	no	—
210	#13094005	—	2	4	no	—
211	#13094003	—	2	4	no	—
212	#13094002	—	2	4	no	—
213	#13094001	—	2	4	no	—
214	#13093996	—	2	4	no	—
215	#13093996	—	2	4	no	—
216	#13093996	—	4	2	no	—
217	D₄×Dic₄₇	—	2	4	no	—
218	D₄×Dic₄₇	—	2	4	no	—
219	C₄×C₂²⋊D₄₇	—	2	4	no	—
220	C₄×C₂²⋊D₄₇	—	4	2	no	—
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×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	—	2	4	no	—
227	C₂×Dic₄₇⋊C₄	—	2	4	no	—
228	C₂×Dic₄₇⋊C₄	—	4	2	no	—
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	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×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₄₇	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×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₇	—	4	2	no	—
285	C₂×C₄×Dic₄₇	—	4	2	no	—
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	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₇	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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
327	C₄₇⋊#95	C₂³	1	1	yes	characteristic
328	C₄₇⋊#95	C₂³	1	1	yes	characteristic
329	C₄₇⋊#95	C₂³	1	1	yes	characteristic
330	C₄₇⋊#95	C₂³	1	1	yes	characteristic
331	C₄₇⋊#95	C₂³	1	1	yes	characteristic
332	C₄₇⋊#95	C₂³	1	1	yes	characteristic
333	C₄₇⋊#95	C₂³	1	1	yes	characteristic
334	C₄₇⋊#95	C₂³	1	1	yes	characteristic
335	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
336	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
344	#126×C₄₇	—	2	4	no	—
345	#126×C₄₇	—	2	4	no	—
346	#125×C₄₇	—	2	4	no	—
347	#125×C₄₇	—	2	4	no	—
348	#123×C₄₇	—	2	4	no	—
349	#123×C₄₇	—	2	4	no	—
350	#123×C₄₇	—	2	4	no	—
351	#123×C₄₇	—	2	4	no	—
352	C₂²⋊Q₈×C₄₇	—	2	4	no	—
353	C₂²⋊Q₈×C₄₇	—	2	4	no	—
354	C₂²⋊Q₈×C₄₇	—	2	4	no	—
355	#121×C₄₇	—	2	4	no	—
356	C₄×D₄×C₄₇	—	2	4	no	—
357	C₄×D₄×C₄₇	D₄	1	8	yes	complemented
358	C₂×C₄⋊C₄×C₄₇	—	2	4	no	—
359	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
366	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
367	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
369	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
370	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
371	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
372	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
382	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
383	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
384	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
385	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
388	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
389	C₂×Q₈×C₄₇	—	2	2	no	—
390	C₂×Q₈×C₄₇	—	4	1	no	—
391	C₂×Q₈×C₄₇	—	4	1	no	—
392	C₂×D₄×C₄₇	—	2	2	no	—
393	C₂×D₄×C₄₇	—	2	2	no	—
394	C₂×D₄×C₄₇	—	2	2	no	—
395	C₂×D₄×C₄₇	—	2	2	no	—
396	C₂×D₄×C₄₇	—	2	2	no	—
397	C₂×D₄×C₄₇	—	2	2	no	—
398	C₂×D₄×C₄₇	—	4	1	no	—
399	C₂×D₄×C₄₇	—	4	1	no	—
400	C₂×D₄×C₄₇	C₂×D₄	1	4	yes	—
401	C₂²×C₄×C₄₇	—	2	2	no	—
402	C₂²×C₄×C₄₇	—	2	2	no	—
403	C₂²×C₄×C₄₇	—	2	2	no	—
404	C₂²×C₄×C₄₇	—	2	2	no	—
405	C₂²×C₄×C₄₇	—	2	2	no	—
406	C₂²×C₄×C₄₇	—	4	1	no	—
407	C₂²×C₄×C₄₇	—	4	1	no	—
408	C₂²×C₄×C₄₇	—	4	1	no	—
409	C₂²×C₄×C₄₇	—	4	1	no	—
410	C₂²×C₄×C₄₇	—	4	1	no	—
411	C₂²×C₄×C₄₇	—	4	1	no	—
412	C₂²×C₄×C₄₇	—	4	1	no	—
413	C₂²×C₄×C₄₇	—	4	1	no	—
414	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
415	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
416	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
428	C₂×C₂²⋊D₄₇	—	2	2	no	—
429	C₂×C₂²⋊D₄₇	—	2	2	no	—
430	C₂×C₂²⋊D₄₇	—	2	2	no	—
431	C₂×C₂²⋊D₄₇	—	2	2	no	—
432	C₂×C₂²⋊D₄₇	—	2	2	no	—
433	C₂×C₂²⋊D₄₇	—	2	2	no	—
434	C₂×C₂²⋊D₄₇	—	2	2	no	—
435	C₂×C₂²⋊D₄₇	—	4	1	no	—
436	C₂×C₂²⋊D₄₇	—	4	1	no	—
437	C₂²×Dic₄₇	—	2	2	no	—
438	C₂²×Dic₄₇	—	2	2	no	—
439	C₂²×Dic₄₇	—	2	2	no	—
440	C₂²×Dic₄₇	—	2	2	no	—
441	C₂²×Dic₄₇	—	2	2	no	—
442	C₂²×Dic₄₇	—	2	2	no	—
443	C₂²×Dic₄₇	—	2	2	no	—
444	C₂²×Dic₄₇	—	2	2	no	—
445	C₂²×Dic₄₇	—	2	2	no	—
446	C₂²×Dic₄₇	—	2	2	no	—
447	C₂²×Dic₄₇	—	2	2	no	—
448	C₂²×Dic₄₇	—	2	2	no	—
449	C₂²×Dic₄₇	—	2	2	no	—
450	C₂²×Dic₄₇	—	4	1	no	—
451	C₂²×Dic₄₇	—	4	1	no	—
452	C₂²×Dic₄₇	—	4	1	no	—
453	C₂²×Dic₄₇	—	4	1	no	—
454	C₂²×Dic₄₇	#41	1	4	yes	—
455	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
470	C₂×C₄×D₄₇	—	2	2	no	—
471	C₂×C₄×D₄₇	—	4	1	no	—
472	C₂×C₄×D₄₇	—	4	1	no	—
473	C₂×Dic₉₄	—	2	2	no	—
474	C₂×Dic₉₄	—	4	1	no	—
475	C₂×Dic₉₄	—	4	1	no	—
476	C₄⋊C₄×C₄₇	—	2	2	no	—
477	C₄⋊C₄×C₄₇	—	2	2	no	—
478	C₄⋊C₄×C₄₇	—	2	2	no	—
479	C₄⋊C₄×C₄₇	—	2	2	no	—
480	C₄⋊C₄×C₄₇	—	2	2	no	—
481	C₄⋊C₄×C₄₇	—	2	2	no	—
482	C₄⋊C₄×C₄₇	—	2	2	no	—
483	C₄⋊C₄×C₄₇	—	2	2	no	—
484	C₄⋊C₄×C₄₇	—	2	2	no	—
485	C₄⋊C₄×C₄₇	—	2	2	no	—
486	C₄⋊C₄×C₄₇	—	2	2	no	—
487	C₄⋊C₄×C₄₇	—	2	2	no	—
488	C₄⋊C₄×C₄₇	—	2	2	no	—
489	C₄⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
490	C₂²⋊C₄×C₄₇	—	2	2	no	—
491	C₂²⋊C₄×C₄₇	—	2	2	no	—
492	C₂²⋊C₄×C₄₇	—	2	2	no	—
493	C₂²⋊C₄×C₄₇	—	2	2	no	—
494	C₂²⋊C₄×C₄₇	—	2	2	no	—
495	C₂²⋊C₄×C₄₇	—	2	2	no	—
496	C₂²⋊C₄×C₄₇	—	2	2	no	—
497	C₂²⋊C₄×C₄₇	—	2	2	no	—
498	C₂²⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
499	C₂²⋊C₄×C₄₇	C₂×D₄	1	4	yes	—
500	C₄²×C₄₇	—	2	2	no	—
501	C₄²×C₄₇	C₂×D₄	1	4	yes	—
502	C₂²⋊Dic₄₇	—	2	2	no	—
503	C₂²⋊Dic₄₇	—	2	2	no	—
504	C₂²⋊Dic₄₇	—	2	2	no	—
505	C₂²⋊Dic₄₇	—	2	2	no	—
506	C₂²⋊Dic₄₇	—	2	2	no	—
507	C₂²⋊Dic₄₇	—	2	2	no	—
508	C₂²⋊Dic₄₇	—	2	2	no	—
509	C₂²⋊Dic₄₇	—	2	2	no	—
510	C₂²⋊Dic₄₇	—	2	2	no	—
511	C₂²⋊Dic₄₇	—	2	2	no	—
512	C₂²⋊Dic₄₇	—	2	2	no	—
513	C₂²⋊Dic₄₇	—	4	1	no	—
514	C₂²⋊Dic₄₇	—	4	1	no	—
515	C₂²⋊Dic₄₇	—	4	1	no	—
516	C₂²⋊Dic₄₇	#41	1	4	yes	—
517	(C₂×D₄₇)⋊C₄	—	2	2	no	—
518	(C₂×D₄₇)⋊C₄	—	2	2	no	—
519	(C₂×D₄₇)⋊C₄	—	2	2	no	—
520	(C₂×D₄₇)⋊C₄	—	2	2	no	—
521	(C₂×D₄₇)⋊C₄	—	2	2	no	—
522	(C₂×D₄₇)⋊C₄	—	2	2	no	—
523	(C₂×D₄₇)⋊C₄	—	2	2	no	—
524	(C₂×D₄₇)⋊C₄	—	2	2	no	—
525	(C₂×D₄₇)⋊C₄	—	4	1	no	—
526	(C₂×D₄₇)⋊C₄	—	4	1	no	—
527	(C₂×D₄₇)⋊C₄	—	4	1	no	—
528	C₄⋊Dic₄₇	—	2	2	no	—
529	C₄⋊Dic₄₇	—	2	2	no	—
530	C₄⋊Dic₄₇	—	2	2	no	—
531	C₄⋊Dic₄₇	—	2	2	no	—
532	C₄⋊Dic₄₇	—	2	2	no	—
533	Dic₄₇⋊C₄	—	2	2	no	—
534	Dic₄₇⋊C₄	—	2	2	no	—
535	Dic₄₇⋊C₄	—	2	2	no	—
536	Dic₄₇⋊C₄	—	2	2	no	—
537	Dic₄₇⋊C₄	—	2	2	no	—
538	Dic₄₇⋊C₄	—	2	2	no	—
539	Dic₄₇⋊C₄	—	2	2	no	—
540	Dic₄₇⋊C₄	—	2	2	no	—
541	Dic₄₇⋊C₄	—	2	2	no	—
542	Dic₄₇⋊C₄	—	2	2	no	—
543	Dic₄₇⋊C₄	—	2	2	no	—
544	Dic₄₇⋊C₄	—	2	2	no	—
545	Dic₄₇⋊C₄	—	2	2	no	—
546	Dic₄₇⋊C₄	—	2	2	no	—
547	Dic₄₇⋊C₄	—	2	2	no	—
548	Dic₄₇⋊C₄	—	2	2	no	—
549	Dic₄₇⋊C₄	—	2	2	no	—
550	Dic₄₇⋊C₄	—	2	2	no	—
551	Dic₄₇⋊C₄	—	2	2	no	—
552	Dic₄₇⋊C₄	—	2	2	no	—
553	Dic₄₇⋊C₄	—	2	2	no	—
554	Dic₄₇⋊C₄	—	2	2	no	—
555	Dic₄₇⋊C₄	—	2	2	no	—
556	Dic₄₇⋊C₄	—	4	1	no	—
557	Dic₄₇⋊C₄	—	4	1	no	—
558	Dic₄₇⋊C₄	—	4	1	no	—
559	Dic₄₇⋊C₄	—	4	1	no	—
560	Dic₄₇⋊C₄	—	4	1	no	—
561	Dic₄₇⋊C₄	—	4	1	no	—
562	C₄×Dic₄₇	—	2	2	no	—
563	C₄×Dic₄₇	—	2	2	no	—
564	C₄×Dic₄₇	—	2	2	no	—
565	C₄×Dic₄₇	—	2	2	no	—
566	C₄×Dic₄₇	—	2	2	no	—
567	C₄×Dic₄₇	—	2	2	no	—
568	C₄×Dic₄₇	—	2	2	no	—
569	C₄×Dic₄₇	—	2	2	no	—
570	C₄×Dic₄₇	—	4	1	no	—
571	C₄×Dic₄₇	—	4	1	no	—
572	C₄×Dic₄₇	—	4	1	no	—
573	C₄×Dic₄₇	—	4	1	no	—
574	C₄×Dic₄₇	—	4	1	no	—
575	C₂³×C₄₇	—	2	1	no	—
576	C₂³×C₄₇	—	2	1	no	—
577	C₂³×C₄₇	—	2	1	no	—
578	C₂³×C₄₇	—	2	1	no	—
579	C₂³×C₄₇	—	2	1	no	—
580	C₂³×C₄₇	—	2	1	no	—
581	C₂³×C₄₇	—	2	1	no	—
582	C₂³×C₄₇	—	2	1	no	—
583	C₂³×C₄₇	—	2	1	no	—
584	C₂³×C₄₇	—	2	1	no	—
585	C₂³×C₄₇	—	2	1	no	—
586	C₂³×C₄₇	—	2	1	no	—
587	C₂³×C₄₇	—	2	1	no	—
588	C₂³×C₄₇	—	2	1	no	—
589	C₂³×C₄₇	—	2	1	no	—
590	C₂³×C₄₇	—	2	1	no	—
591	C₂³×C₄₇	—	2	1	no	—
592	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
593	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
594	C₂³×C₄₇	C₂×#41	1	2	yes	—
595	C₂³×C₄₇	C₂×#41	1	2	yes	—
596	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
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	C₂²×D₄₇	—	2	1	no	—
602	C₂²×D₄₇	—	2	1	no	—
603	C₂²×D₄₇	—	2	1	no	—
604	Q₈×C₄₇	—	8	2	no	—
605	D₄×C₄₇	—	2	8	no	—
606	D₄×C₄₇	—	4	4	no	—
607	D₄×C₄₇	—	8	2	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	—	2	1	no	—
639	C₂×C₄×C₄₇	—	4	4	no	—
640	C₂×C₄×C₄₇	—	4	4	no	—
641	C₂×C₄×C₄₇	—	4	4	no	—
642	C₂×C₄×C₄₇	—	8	2	no	—
643	C₂×C₄×C₄₇	—	8	2	no	—
644	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
645	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
646	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
647	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
648	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
649	C₂²⋊D₄₇	—	4	4	no	—
650	C₂²⋊D₄₇	—	4	4	no	—
651	C₂²⋊D₄₇	—	8	2	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	8	no	—
661	C₂×Dic₄₇	—	2	1	no	—
662	C₂×Dic₄₇	—	2	1	no	—
663	C₂×Dic₄₇	—	2	1	no	—
664	C₂×Dic₄₇	—	2	1	no	—
665	C₂×Dic₄₇	—	2	1	no	—
666	C₂×Dic₄₇	—	2	1	no	—
667	C₂×Dic₄₇	—	2	1	no	—
668	C₂×Dic₄₇	—	2	1	no	—
669	C₂×Dic₄₇	—	2	1	no	—
670	C₂×Dic₄₇	—	2	1	no	—
671	C₂×Dic₄₇	—	2	1	no	—
672	C₂×Dic₄₇	—	2	1	no	—
673	C₂×Dic₄₇	—	2	1	no	—
674	C₂×Dic₄₇	—	2	1	no	—
675	C₂×Dic₄₇	—	2	1	no	—
676	C₂×Dic₄₇	—	2	1	no	—
677	C₂×Dic₄₇	—	2	1	no	—
678	C₂×Dic₄₇	—	2	1	no	—
679	C₂×Dic₄₇	—	2	1	no	—
680	C₂×Dic₄₇	—	2	1	no	—
681	C₂×Dic₄₇	—	2	1	no	—
682	C₂×Dic₄₇	—	2	1	no	—
683	C₂×Dic₄₇	—	2	1	no	—
684	C₂×Dic₄₇	—	2	1	no	—
685	C₂×Dic₄₇	—	2	1	no	—
686	C₂×Dic₄₇	—	2	1	no	—
687	C₂×Dic₄₇	—	2	1	no	—
688	C₂×Dic₄₇	—	2	1	no	—
689	C₂×Dic₄₇	—	2	1	no	—
690	C₂×Dic₄₇	—	2	1	no	—
691	C₂×Dic₄₇	—	4	4	no	—
692	C₂×Dic₄₇	—	4	4	no	—
693	C₂×Dic₄₇	—	4	4	no	—
694	C₂×Dic₄₇	—	4	4	no	—
695	C₂×Dic₄₇	—	8	2	no	—
696	C₂×Dic₄₇	C₂×#41	1	2	yes	—
697	C₂×Dic₄₇	C₂×#41	1	2	yes	—
698	C₂×Dic₄₇	C₂×#41	1	2	yes	—
699	C₂×Dic₄₇	C₂×#41	1	2	yes	—
700	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
701	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
702	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
703	C₄×D₄₇	—	8	2	no	—
704	Dic₉₄	—	8	2	no	—
705	#35008	—	47	1	no	maximal, Sylow
706	C₂²×C₄₇	—	2	2	no	—
707	C₂²×C₄₇	—	2	2	no	—
708	C₂²×C₄₇	—	2	2	no	—
709	C₂²×C₄₇	—	2	2	no	—
710	C₂²×C₄₇	—	2	2	no	—
711	C₂²×C₄₇	—	2	2	no	—
712	C₂²×C₄₇	—	2	2	no	—
713	C₂²×C₄₇	—	2	2	no	—
714	C₂²×C₄₇	—	2	2	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	#532	1	4	yes	—
727	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
728	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
729	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
730	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
732	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
733	C₂²×C₄₇	#585	1	1	yes	characteristic
734	C₂×D₄₇	—	4	1	no	—
735	C₂×D₄₇	—	4	1	no	—
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	C₄×C₄₇	—	2	2	no	—
742	C₄×C₄₇	—	2	2	no	—
743	C₄×C₄₇	—	2	2	no	—
744	C₄×C₄₇	—	2	2	no	—
745	C₄×C₄₇	—	2	2	no	—
746	C₄×C₄₇	—	4	1	no	—
747	C₄×C₄₇	—	4	1	no	—
748	C₄×C₄₇	—	4	1	no	—
749	C₄×C₄₇	—	4	1	no	—
750	C₄×C₄₇	—	4	1	no	—
751	C₄×C₄₇	—	4	1	no	—
752	C₄×C₄₇	—	4	1	no	—
753	Dic₄₇	—	2	2	no	—
754	Dic₄₇	—	2	2	no	—
755	Dic₄₇	—	2	2	no	—
756	Dic₄₇	—	2	2	no	—
757	Dic₄₇	—	4	1	no	—
758	Dic₄₇	—	4	1	no	—
759	Dic₄₇	—	4	1	no	—
760	Dic₄₇	—	4	1	no	—
761	Dic₄₇	—	4	1	no	—
762	Dic₄₇	—	4	1	no	—
763	Dic₄₇	—	4	1	no	—
764	Dic₄₇	—	4	1	no	—
765	Dic₄₇	—	4	1	no	—
766	Dic₄₇	—	4	1	no	—
767	Dic₄₇	#539	1	4	yes	complemented
768	C₂×#539	—	47	1	no	—
769	C₂×#539	D₄₇	1	1	yes	characteristic, complemented
770	#2860	—	47	1	no	—
771	#2859	—	47	1	no	—
772	#2857	—	47	1	no	—
773	#2854	—	47	1	no	—
774	#2664	—	47	1	no	—
775	#2664	—	47	1	no	—
776	#2663	—	47	1	no	—
777	#2663	—	47	1	no	—
778	#2556	—	47	1	no	—
779	#2556	—	47	1	no	—
780	#2553	—	47	1	no	—
781	#2553	—	47	1	no	—
782	#2506	—	47	1	no	—
783	#2501	—	47	1	no	—
784	#2496	—	47	1	no	—
785	#2488	—	47	1	no	—
786	#2488	—	47	1	no	—
787	#2486	—	47	1	no	—
788	#2452	—	47	1	no	—
789	#2440	—	47	1	no	—
790	#2425	—	47	1	no	—
791	#2425	—	47	1	no	—
792	#2422	—	47	1	no	—
793	#2416	—	47	1	no	—
794	#2322	—	47	1	no	—
795	#2322	—	47	1	no	—
796	C₄×#121	—	47	1	no	—
797	C₂×#389	—	47	1	no	—
798	C₄²×D₄	—	47	1	no	—
799	C₂×C₄₇	—	2	4	no	—
800	C₂×C₄₇	—	4	2	no	—
801	C₂×C₄₇	—	8	1	no	—
802	C₂×C₄₇	C₂×#532	1	1	yes	characteristic
803	C₂×C₄₇	C₂×#539	1	1	yes	characteristic
804	C₂×C₄₇	#3461	1	1	yes	characteristic
805	C₂×C₄₇	#3496	1	1	yes	characteristic
806	C₂×C₄₇	#3499	1	1	yes	characteristic
807	C₂×C₄₇	#3515	1	1	yes	characteristic
808	C₂×C₄₇	#3520	1	1	yes	characteristic
809	D₄₇	—	8	1	no	—
810	#539	—	2	8	no	—
811	#539	—	94	8	no	—
812	C₂×C₄⋊Q₈	—	47	1	no	—
813	C₂×#126	—	47	1	no	—
814	C₂×#126	—	47	1	no	—
815	C₂×#126	C₂×D₄₇	1	1	yes	characteristic
816	C₂×#126	C₂×D₄₇	1	1	yes	characteristic
817	C₂×#125	—	47	1	no	—
818	C₂×#125	—	47	1	no	—
819	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
820	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
821	C₂×#123	—	47	1	no	—
822	C₂×#123	—	47	1	no	—
823	C₂×#123	—	47	1	no	—
824	C₂×#123	—	47	1	no	—
825	C₂×#123	—	47	1	no	—
826	C₂×#123	—	47	1	no	—
827	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
828	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
829	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
830	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
831	C₂×C₂²⋊Q₈	—	47	1	no	—
832	C₂×C₂²⋊Q₈	—	47	1	no	—
833	C₂×C₂²⋊Q₈	—	47	1	no	—
834	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
835	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
836	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
837	C₂×#121	—	47	1	no	—
838	C₂×#121	—	47	1	no	—
839	C₂×#121	—	47	1	no	—
840	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
841	C₂×C₄×D₄	—	47	1	no	—
842	C₂×C₄×D₄	—	47	1	no	—
843	C₂×C₄×D₄	—	47	1	no	—
844	C₂×C₄×D₄	—	47	1	no	—
845	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
846	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
847	C₂²×C₄⋊C₄	—	47	1	no	—
848	C₂²×C₄⋊C₄	—	47	1	no	—
849	C₂²×C₄⋊C₄	—	47	1	no	—
850	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
851	C₂²×C₄²	—	47	1	no	—
852	C₂²×C₄²	—	47	1	no	—
853	#400	—	47	1	no	—
854	#400	—	47	1	no	—
855	#400	—	47	1	no	—
856	#400	—	47	1	no	—
857	#399	—	47	1	no	—
858	#399	—	47	1	no	—
859	#399	—	47	1	no	—
860	#399	—	47	1	no	—
861	#398	—	47	1	no	—
862	#398	—	47	1	no	—
863	#398	—	47	1	no	—
864	#398	—	47	1	no	—
865	#398	—	47	1	no	—
866	#398	—	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	#396	—	47	1	no	—
874	#396	—	47	1	no	—
875	#396	—	47	1	no	—
876	#396	—	47	1	no	—
877	#395	—	47	1	no	—
878	#395	—	47	1	no	—
879	#394	—	47	1	no	—
880	#394	—	47	1	no	—
881	#394	—	47	1	no	—
882	#394	—	47	1	no	—
883	#393	—	47	1	no	—
884	#393	—	47	1	no	—
885	#391	—	47	1	no	—
886	#391	—	47	1	no	—
887	#390	—	47	1	no	—
888	#390	—	47	1	no	—
889	#390	—	47	1	no	—
890	#390	—	47	1	no	—
891	#389	—	47	1	no	—
892	#389	—	47	1	no	—
893	#389	—	47	1	no	—
894	#389	—	47	1	no	—
895	#389	—	47	1	no	—
896	#389	—	47	1	no	—
897	#389	—	47	1	no	—
898	#389	—	47	1	no	—
899	#389	—	47	1	no	—
900	#389	—	47	1	no	—
901	#389	—	47	1	no	—
902	#389	—	47	1	no	—
903	#389	—	47	1	no	—
904	#389	—	47	1	no	—
905	#389	—	47	1	no	—
906	#389	—	47	1	no	—
907	#389	—	47	1	no	—
908	#389	—	47	1	no	—
909	#389	—	47	1	no	—
910	#389	—	47	1	no	—
911	#388	—	47	1	no	—
912	#388	—	47	1	no	—
913	#388	—	47	1	no	—
914	#388	—	47	1	no	—
915	#388	—	47	1	no	—
916	#388	—	47	1	no	—
917	#388	—	47	1	no	—
918	#388	—	47	1	no	—
919	#388	—	47	1	no	—
920	#388	—	47	1	no	—
921	#388	—	47	1	no	—
922	#388	—	47	1	no	—
923	#387	—	47	1	no	—
924	#387	—	47	1	no	—
925	#387	—	47	1	no	—
926	#387	—	47	1	no	—
927	#386	—	47	1	no	—
928	#386	—	47	1	no	—
929	#386	—	47	1	no	—
930	#386	—	47	1	no	—
931	#386	—	47	1	no	—
932	#386	—	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	#384	—	47	1	no	—
940	#384	—	47	1	no	—
941	#384	—	47	1	no	—
942	#382	—	47	1	no	—
943	#382	—	47	1	no	—
944	#381	—	47	1	no	—
945	#381	—	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	#380	—	47	1	no	—
952	C₄×C₄⋊C₄	—	47	1	no	—
953	C₄×C₄⋊C₄	—	47	1	no	—
954	C₄×C₄⋊C₄	—	47	1	no	—
955	C₄×C₄⋊C₄	—	47	1	no	—
956	C₄×C₂²⋊C₄	—	47	1	no	—
957	C₄×C₂²⋊C₄	—	47	1	no	—
958	C₄×C₂²⋊C₄	—	47	1	no	—
959	C₄×C₂²⋊C₄	—	47	1	no	—
960	C₄×C₂²⋊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	C₂×#95	—	47	1	no	—
965	C₂×#95	—	47	1	no	—
966	C₄³	—	47	1	no	—
967	C₄₇	#35008	1	1	yes	characteristic, complemented, Sylow
968	C₂²×Q₈	—	47	1	no	—
969	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
970	C₂²×D₄	—	47	1	no	—
971	C₂²×D₄	—	47	1	no	—
972	C₂²×D₄	—	47	1	no	—
973	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
974	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
975	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
976	C₂³×C₄	—	47	1	no	—
977	C₂³×C₄	—	47	1	no	—
978	C₂³×C₄	—	47	1	no	—
979	C₂³×C₄	—	47	1	no	—
980	C₂³×C₄	—	47	1	no	—
981	C₂³×C₄	—	47	1	no	—
982	C₂³×C₄	—	47	1	no	—
983	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
984	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
985	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
986	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
987	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
988	C₄⋊Q₈	—	188	2	no	—
989	#126	—	2	4	no	—
990	#126	—	2	4	no	—
991	#126	—	94	4	no	—
992	#126	—	94	4	no	—
993	#125	—	2	4	no	—
994	#125	—	2	4	no	—
995	#125	—	94	4	no	—
996	#125	—	94	4	no	—
997	#123	—	2	4	no	—
998	#123	—	2	4	no	—
999	#123	—	2	4	no	—
1000	#123	—	2	4	no	—
1001	#123	—	94	4	no	—
1002	#123	—	94	4	no	—
1003	#123	—	94	4	no	—
1004	#123	—	94	4	no	—
1005	#123	—	94	4	no	—
1006	#123	—	94	4	no	—
1007	C₂²⋊Q₈	—	2	4	no	—
1008	C₂²⋊Q₈	—	2	4	no	—
1009	C₂²⋊Q₈	—	2	4	no	—
1010	C₂²⋊Q₈	—	94	4	no	—
1011	C₂²⋊Q₈	—	94	4	no	—
1012	C₂²⋊Q₈	—	94	4	no	—
1013	#121	—	2	4	no	—
1014	#121	—	94	4	no	—
1015	#121	—	94	4	no	—
1016	#121	—	188	2	no	—
1017	C₄×D₄	—	2	4	no	—
1018	C₄×D₄	—	94	4	no	—
1019	C₄×D₄	—	94	4	no	—
1020	C₄×D₄	—	94	4	no	—
1021	C₄×D₄	—	188	2	no	—
1022	C₄×D₄	C₂²⋊D₄₇	1	8	yes	complemented
1023	C₂×C₄⋊C₄	—	2	4	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	—	47	1	no	—
1041	C₂×C₄⋊C₄	—	47	1	no	—
1042	C₂×C₄⋊C₄	—	47	1	no	—
1043	C₂×C₄⋊C₄	—	47	1	no	—
1044	C₂×C₄⋊C₄	—	47	1	no	—
1045	C₂×C₄⋊C₄	—	47	1	no	—
1046	C₂×C₄⋊C₄	—	47	1	no	—
1047	C₂×C₄⋊C₄	—	47	1	no	—
1048	C₂×C₄⋊C₄	—	47	1	no	—
1049	C₂×C₄⋊C₄	—	47	1	no	—
1050	C₂×C₄⋊C₄	—	47	1	no	—
1051	C₂×C₄⋊C₄	—	47	1	no	—
1052	C₂×C₄⋊C₄	—	47	1	no	—
1053	C₂×C₄⋊C₄	—	47	1	no	—
1054	C₂×C₄⋊C₄	—	47	1	no	—
1055	C₂×C₄⋊C₄	—	47	1	no	—
1056	C₂×C₄⋊C₄	—	47	1	no	—
1057	C₂×C₄⋊C₄	—	47	1	no	—
1058	C₂×C₄⋊C₄	—	94	4	no	—
1059	C₂×C₄⋊C₄	—	94	4	no	—
1060	C₂×C₄⋊C₄	—	188	2	no	—
1061	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	—	47	1	no	—
1076	C₂×C₂²⋊C₄	—	47	1	no	—
1077	C₂×C₂²⋊C₄	—	47	1	no	—
1078	C₂×C₂²⋊C₄	—	47	1	no	—
1079	C₂×C₂²⋊C₄	—	47	1	no	—
1080	C₂×C₂²⋊C₄	—	47	1	no	—
1081	C₂×C₂²⋊C₄	—	47	1	no	—
1082	C₂×C₂²⋊C₄	—	47	1	no	—
1083	C₂×C₂²⋊C₄	—	47	1	no	—
1084	C₂×C₂²⋊C₄	—	47	1	no	—
1085	C₂×C₂²⋊C₄	—	47	1	no	—
1086	C₂×C₂²⋊C₄	—	47	1	no	—
1087	C₂×C₂²⋊C₄	—	47	1	no	—
1088	C₂×C₂²⋊C₄	—	47	1	no	—
1089	C₂×C₂²⋊C₄	—	47	1	no	—
1090	C₂×C₂²⋊C₄	—	47	1	no	—
1091	C₂×C₂²⋊C₄	—	47	1	no	—
1092	C₂×C₂²⋊C₄	—	47	1	no	—
1093	C₂×C₂²⋊C₄	—	47	1	no	—
1094	C₂×C₂²⋊C₄	—	47	1	no	—
1095	C₂×C₂²⋊C₄	—	47	1	no	—
1096	C₂×C₂²⋊C₄	—	47	1	no	—
1097	C₂×C₂²⋊C₄	—	47	1	no	—
1098	C₂×C₂²⋊C₄	—	47	1	no	—
1099	C₂×C₂²⋊C₄	—	47	1	no	—
1100	C₂×C₂²⋊C₄	—	47	1	no	—
1101	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1111	C₂×C₄²	—	47	1	no	—
1112	C₂×C₄²	—	47	1	no	—
1113	C₂×C₄²	—	47	1	no	—
1114	C₂×C₄²	—	47	1	no	—
1115	C₂×C₄²	—	47	1	no	—
1116	C₂×C₄²	—	47	1	no	—
1117	C₂×C₄²	—	47	1	no	—
1118	C₂×C₄²	—	47	1	no	—
1119	C₂×C₄²	—	47	1	no	—
1120	C₂×C₄²	—	47	1	no	—
1121	C₂×C₄²	—	47	1	no	—
1122	C₂×C₄²	—	47	1	no	—
1123	C₂×C₄²	—	47	1	no	—
1124	C₂×C₄²	—	188	2	no	—
1125	C₂×C₄²	—	188	2	no	—
1126	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1127	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1128	#95	—	47	1	no	—
1129	#95	—	47	1	no	—
1130	#95	—	47	1	no	—
1131	#95	—	47	1	no	—
1132	#95	—	47	1	no	—
1133	#95	—	47	1	no	—
1134	#95	—	47	1	no	—
1135	#95	—	47	1	no	—
1136	#95	—	47	1	no	—
1137	#95	—	47	1	no	—
1138	#95	—	47	1	no	—
1139	#95	—	47	1	no	—
1140	#95	—	47	1	no	—
1141	#95	—	47	1	no	—
1142	#95	—	47	1	no	—
1143	#95	—	47	1	no	—
1144	#95	—	47	1	no	—
1145	#95	—	47	1	no	—
1146	#95	—	47	1	no	—
1147	#95	—	47	1	no	—
1148	#95	—	47	1	no	—
1149	#95	—	47	1	no	—
1150	#95	—	47	1	no	—
1151	#95	—	47	1	no	—
1152	#95	—	47	1	no	—
1153	#95	—	47	1	no	—
1154	#95	—	47	1	no	—
1155	#95	—	47	1	no	—
1156	#95	—	47	1	no	—
1157	#95	—	47	1	no	—
1158	#95	—	47	1	no	—
1159	#95	—	47	1	no	—
1160	#95	—	47	1	no	—
1161	#95	—	47	1	no	—
1162	#95	—	47	1	no	—
1163	#95	—	47	1	no	—
1164	C₂⁴	—	47	1	no	—
1165	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1166	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1167	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1168	C₂×Q₈	—	2	2	no	—
1169	C₂×Q₈	—	4	1	no	—
1170	C₂×Q₈	—	4	1	no	—
1171	C₂×Q₈	—	94	2	no	—
1172	C₂×Q₈	—	188	1	no	—
1173	C₂×Q₈	—	188	1	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	2	2	no	—
1176	C₂×D₄	—	2	2	no	—
1177	C₂×D₄	—	2	2	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	94	2	no	—
1183	C₂×D₄	—	94	2	no	—
1184	C₂×D₄	—	94	2	no	—
1185	C₂×D₄	—	94	2	no	—
1186	C₂×D₄	—	94	2	no	—
1187	C₂×D₄	—	94	2	no	—
1188	C₂×D₄	—	94	2	no	—
1189	C₂×D₄	—	188	1	no	—
1190	C₂×D₄	—	188	1	no	—
1191	C₂×D₄	C₂×C₂²⋊D₄₇	1	4	yes	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	47	1	no	—
1206	C₂²×C₄	—	47	4	no	—
1207	C₂²×C₄	—	47	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	—	94	2	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	—	188	1	no	—
1236	C₂²×C₄	—	188	1	no	—
1237	C₂²×C₄	—	188	1	no	—
1238	C₂²×C₄	—	188	1	no	—
1239	C₂²×C₄	—	188	1	no	—
1240	C₂²×C₄	—	188	1	no	—
1241	C₂²×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
1242	C₂²×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
1243	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1253	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	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	94	2	no	—
1269	C₄⋊C₄	—	94	2	no	—
1270	C₄⋊C₄	—	94	2	no	—
1271	C₄⋊C₄	—	94	2	no	—
1272	C₄⋊C₄	—	94	2	no	—
1273	C₄⋊C₄	—	94	2	no	—
1274	C₄⋊C₄	—	94	2	no	—
1275	C₄⋊C₄	—	94	2	no	—
1276	C₄⋊C₄	—	94	2	no	—
1277	C₄⋊C₄	—	94	2	no	—
1278	C₄⋊C₄	—	94	2	no	—
1279	C₄⋊C₄	—	94	2	no	—
1280	C₄⋊C₄	—	94	2	no	—
1281	C₄⋊C₄	—	94	2	no	—
1282	C₄⋊C₄	—	94	2	no	—
1283	C₄⋊C₄	—	94	2	no	—
1284	C₄⋊C₄	—	94	2	no	—
1285	C₄⋊C₄	—	94	2	no	—
1286	C₄⋊C₄	—	94	2	no	—
1287	C₄⋊C₄	—	94	2	no	—
1288	C₄⋊C₄	—	94	2	no	—
1289	C₄⋊C₄	—	94	2	no	—
1290	C₄⋊C₄	—	94	2	no	—
1291	C₄⋊C₄	—	94	2	no	—
1292	C₄⋊C₄	—	94	2	no	—
1293	C₄⋊C₄	—	94	2	no	—
1294	C₄⋊C₄	—	94	2	no	—
1295	C₄⋊C₄	—	94	2	no	—
1296	C₄⋊C₄	—	188	1	no	—
1297	C₄⋊C₄	—	188	1	no	—
1298	C₄⋊C₄	—	188	1	no	—
1299	C₄⋊C₄	—	188	1	no	—
1300	C₄⋊C₄	—	188	1	no	—
1301	C₄⋊C₄	—	188	1	no	—
1302	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	2	2	no	—
1305	C₂²⋊C₄	—	2	2	no	—
1306	C₂²⋊C₄	—	2	2	no	—
1307	C₂²⋊C₄	—	2	2	no	—
1308	C₂²⋊C₄	—	2	2	no	—
1309	C₂²⋊C₄	—	2	2	no	—
1310	C₂²⋊C₄	—	2	2	no	—
1311	C₂²⋊C₄	—	47	4	no	—
1312	C₂²⋊C₄	—	94	2	no	—
1313	C₂²⋊C₄	—	94	2	no	—
1314	C₂²⋊C₄	—	94	2	no	—
1315	C₂²⋊C₄	—	94	2	no	—
1316	C₂²⋊C₄	—	94	2	no	—
1317	C₂²⋊C₄	—	94	2	no	—
1318	C₂²⋊C₄	—	94	2	no	—
1319	C₂²⋊C₄	—	94	2	no	—
1320	C₂²⋊C₄	—	94	2	no	—
1321	C₂²⋊C₄	—	94	2	no	—
1322	C₂²⋊C₄	—	94	2	no	—
1323	C₂²⋊C₄	—	94	2	no	—
1324	C₂²⋊C₄	—	94	2	no	—
1325	C₂²⋊C₄	—	94	2	no	—
1326	C₂²⋊C₄	—	94	2	no	—
1327	C₂²⋊C₄	—	94	2	no	—
1328	C₂²⋊C₄	—	94	2	no	—
1329	C₂²⋊C₄	—	94	2	no	—
1330	C₂²⋊C₄	—	94	2	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	C₂²⋊C₄	—	188	1	no	—
1336	C₂²⋊C₄	—	188	1	no	—
1337	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
1338	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
1339	C₄²	—	2	2	no	—
1340	C₄²	—	94	2	no	—
1341	C₄²	—	94	2	no	—
1342	C₄²	—	94	2	no	—
1343	C₄²	—	94	2	no	—
1344	C₄²	—	94	2	no	—
1345	C₄²	—	94	2	no	—
1346	C₄²	—	94	2	no	—
1347	C₄²	—	94	2	no	—
1348	C₄²	—	188	1	no	—
1349	C₄²	—	188	1	no	—
1350	C₄²	—	188	1	no	—
1351	C₄²	—	188	1	no	—
1352	C₄²	—	188	1	no	—
1353	C₄²	C₂×C₂²⋊D₄₇	1	4	yes	—
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	—	94	1	no	—
1372	C₂³	—	94	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	C₂²×C₂²⋊D₄₇	1	2	yes	—
1379	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1380	C₂³	#41×D₄₇	1	2	yes	—
1381	C₂³	#41×D₄₇	1	2	yes	—
1382	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1383	Q₈	—	8	2	no	—
1384	Q₈	—	376	2	no	—
1385	D₄	—	2	8	no	—
1386	D₄	—	4	4	no	—
1387	D₄	—	8	2	no	—
1388	D₄	—	376	2	no	—
1389	D₄	—	188	4	no	—
1390	D₄	—	188	4	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	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	4	4	no	—
1425	C₂×C₄	—	8	2	no	—
1426	C₂×C₄	—	8	2	no	—
1427	C₂×C₄	—	47	2	no	—
1428	C₂×C₄	—	47	2	no	—
1429	C₂×C₄	—	47	2	no	—
1430	C₂×C₄	—	47	2	no	—
1431	C₂×C₄	—	47	2	no	—
1432	C₂×C₄	—	47	2	no	—
1433	C₂×C₄	—	47	2	no	—
1434	C₂×C₄	—	94	8	no	—
1435	C₂×C₄	—	94	1	no	—
1436	C₂×C₄	—	94	1	no	—
1437	C₂×C₄	—	94	1	no	—
1438	C₂×C₄	—	94	1	no	—
1439	C₂×C₄	—	94	1	no	—
1440	C₂×C₄	—	94	1	no	—
1441	C₂×C₄	—	94	1	no	—
1442	C₂×C₄	—	94	1	no	—
1443	C₂×C₄	—	94	1	no	—
1444	C₂×C₄	—	94	1	no	—
1445	C₂×C₄	—	94	1	no	—
1446	C₂×C₄	—	94	1	no	—
1447	C₂×C₄	—	94	1	no	—
1448	C₂×C₄	—	94	1	no	—
1449	C₂×C₄	—	94	1	no	—
1450	C₂×C₄	—	94	1	no	—
1451	C₂×C₄	—	94	1	no	—
1452	C₂×C₄	—	94	1	no	—
1453	C₂×C₄	—	94	1	no	—
1454	C₂×C₄	—	94	1	no	—
1455	C₂×C₄	—	94	1	no	—
1456	C₂×C₄	—	94	1	no	—
1457	C₂×C₄	—	94	1	no	—
1458	C₂×C₄	—	94	1	no	—
1459	C₂×C₄	—	94	1	no	—
1460	C₂×C₄	—	94	1	no	—
1461	C₂×C₄	—	94	1	no	—
1462	C₂×C₄	—	94	1	no	—
1463	C₂×C₄	—	94	1	no	—
1464	C₂×C₄	—	94	1	no	—
1465	C₂×C₄	—	94	1	no	—
1466	C₂×C₄	—	94	1	no	—
1467	C₂×C₄	—	94	1	no	—
1468	C₂×C₄	—	94	1	no	—
1469	C₂×C₄	—	94	1	no	—
1470	C₂×C₄	—	94	1	no	—
1471	C₂×C₄	—	94	1	no	—
1472	C₂×C₄	—	94	1	no	—
1473	C₂×C₄	—	376	2	no	—
1474	C₂×C₄	—	376	2	no	—
1475	C₂×C₄	—	188	4	no	—
1476	C₂×C₄	—	188	4	no	—
1477	C₂×C₄	—	188	4	no	—
1478	C₂×C₄	—	188	4	no	—
1479	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1480	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1481	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1482	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1483	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	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	—	188	1	no	—
1505	C₂²	—	188	1	no	—
1506	C₂²	—	188	1	no	—
1507	C₂²	—	188	1	no	—
1508	C₂²	—	188	1	no	—
1509	C₂²	—	188	1	no	—
1510	C₂²	—	188	1	no	—
1511	C₂²	#15689669	1	4	yes	—
1512	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1513	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1514	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1515	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1516	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1517	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1518	C₂²	#15689958	1	1	yes	characteristic
1519	C₄	—	2	2	no	—
1520	C₄	—	2	2	no	—
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	4	1	no	—
1525	C₄	—	4	1	no	—
1526	C₄	—	4	1	no	—
1527	C₄	—	4	1	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	47	4	no	—
1532	C₄	—	94	2	no	—
1533	C₄	—	94	2	no	—
1534	C₄	—	94	2	no	—
1535	C₄	—	94	2	no	—
1536	C₄	—	188	1	no	—
1537	C₄	—	188	1	no	—
1538	C₄	—	188	1	no	—
1539	C₄	—	188	1	no	—
1540	C₄	—	188	1	no	—
1541	C₄	—	188	1	no	—
1542	C₄	—	188	1	no	—
1543	C₄	—	188	1	no	—
1544	C₄	—	188	1	no	—
1545	C₄	—	188	1	no	—
1546	C₂	—	2	4	no	—
1547	C₂	—	4	2	no	—
1548	C₂	—	8	1	no	—
1549	C₂	—	376	1	no	—
1550	C₂	C₂×#15689669	1	1	yes	characteristic
1551	C₂	#539×D₄₇	1	1	yes	characteristic
1552	C₂	#20256818	1	1	yes	characteristic
1553	C₂	#20257147	1	1	yes	characteristic
1554	C₂	#20257169	1	1	yes	characteristic
1555	C₂	#20257358	1	1	yes	characteristic
1556	C₂	#20257429	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₂×C₄₇×#539	C₂
prime radical	#20246825	C₂
hypercenter	C₂×#539	D₄₇
hypocenter	C₄₇	#35008
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
1. C₂×#15689715	C₂	semidirect
2. #20251753	C₂	semidirect
3. #20251748	C₂	semidirect
4. #20251736	C₂	semidirect
5. #20251717	C₂	semidirect
6. #20249550	C₂	semidirect
7. #20249549	C₂	semidirect
8. #20249539	C₂	semidirect
9. #20249538	C₂	semidirect
10. #20248470	C₂	semidirect
11. #20248468	C₂	semidirect
12. #20248431	C₂	semidirect
13. #20248429	C₂	semidirect
14. #20247903	C₂	semidirect
15. #20247857	C₂	semidirect
16. #20247807	C₂	semidirect
17. #20247720	C₂	semidirect
18. #20247718	C₂	semidirect
19. #20247693	C₂	semidirect
20. #20247237	C₂	semidirect
21. #20247087	C₂	semidirect
22. #20246945	C₂	semidirect
23. #20246943	C₂	semidirect
24. #20246899	C₂	semidirect
26. #20246057	C₂	semidirect
27. #20246053	C₂	semidirect
28. C₄×#13093996	C₂	semidirect
29. C₂×#15689018	C₂	semidirect
30. C₄×D₄×Dic₄₇	C₂	semidirect
31. C₂×C₄₇×#539	C₂	semidirect
357. C₄×D₄×C₄₇	D₄	semidirect
767. Dic₄₇	#539	semidirect
769. C₂×#539	D₄₇	semidirect
967. C₄₇	#35008	semidirect
1022. C₄×D₄	C₂²⋊D₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689715	2
#20251753	2
#20251748	2
#20251736	2
#20251717	2
#20249550	2
#20249549	2
#20249539	2
#20249538	2
#20248470	2
#20248468	2
#20248431	2
#20248429	2
#20247903	2
#20247857	2
#20247807	2
#20247720	2
#20247718	2
#20247693	2
#20247237	2
#20247087	2
#20246945	2
#20246943	2
#20246899	2
#20246825	2
#20246057	2
#20246053	2
C₄×#13093996	2
C₂×#15689018	2
C₄×D₄×Dic₄₇	2
C₂×C₄₇×#539	2
#35008	47