Subgroups — C₂×#20258033 #27123794

Order 12032.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1232 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20258033	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689874	C₂	1	2	yes	maximal, complemented
3	C₂×#15689868	C₂	1	2	yes	maximal, complemented
4	C₂×#15689851	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689843	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689840	C₂	1	2	yes	maximal, complemented
7	C₂×#15689838	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689833	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689819	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15689819	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689813	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689813	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689809	C₂	1	2	yes	maximal, complemented
14	C₂×#15689751	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689751	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15689744	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#15689744	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689741	C₂	1	2	yes	maximal, complemented
19	C₂×#15689737	C₂	1	2	yes	maximal, complemented
20	C₂×#15689732	C₂	1	2	yes	maximal, complemented
21	C₂×#15689716	C₂	1	2	yes	maximal, complemented
22	C₂×#15689680	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#15689657	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	#15689874	C₂²	1	32	yes	complemented
26	#15689868	C₂²	1	32	yes	complemented
27	#15689851	C₂²	1	16	yes	complemented
28	#15689843	C₂²	1	16	yes	complemented
29	#15689840	C₂²	1	32	yes	complemented
30	#15689838	C₂²	1	16	yes	complemented
31	#15689833	C₂²	1	16	yes	complemented
32	#15689819	C₂²	1	16	yes	complemented
33	#15689819	C₂²	1	16	yes	complemented
34	#15689813	C₂²	1	16	yes	complemented
35	#15689813	C₂²	1	16	yes	complemented
36	#15689809	C₂²	1	32	yes	complemented
37	#15689751	C₂²	1	16	yes	complemented
38	#15689751	C₂²	1	16	yes	complemented
39	#15689744	C₂²	1	16	yes	complemented
40	#15689744	C₂²	1	16	yes	complemented
41	#15689741	C₂²	1	32	yes	complemented
42	#15689737	C₂²	1	32	yes	complemented
43	#15689732	C₂²	1	32	yes	complemented
44	#15689716	C₂²	1	32	yes	complemented
45	#15689680	C₂²	1	16	yes	complemented
46	C₂×#13094024	C₂²	1	1	yes	characteristic
47	C₂×#13094024	C₂²	1	1	yes	characteristic
48	C₂×#13094024	C₂²	1	1	yes	characteristic
49	C₂×#13094024	C₂²	1	1	yes	characteristic
50	C₂×#13094023	C₂²	1	2	yes	—
51	C₂×#13094023	C₂²	1	2	yes	—
52	C₂×#13094022	C₂²	1	2	yes	—
53	#15689657	C₂²	1	16	yes	complemented
54	C₂×#13094019	C₂²	1	2	yes	—
55	C₂×#13094019	C₂²	1	2	yes	—
56	C₂×#13094019	C₂²	1	2	yes	—
57	C₂×#13094019	C₂²	1	2	yes	—
58	C₂×#13094018	C₂²	1	2	yes	—
59	C₂×#13094017	C₂²	1	2	yes	—
60	C₂×#13094017	C₂²	1	2	yes	—
61	C₂×#13094017	C₂²	1	2	yes	—
62	C₂×#13094017	C₂²	1	2	yes	—
63	C₂×#13094016	C₂²	1	1	yes	characteristic
64	C₂×#13094016	C₂²	1	1	yes	characteristic
65	C₂×#13094016	C₂²	1	1	yes	characteristic
66	C₂×#13094016	C₂²	1	1	yes	characteristic
67	C₂×#13094016	C₂²	1	1	yes	characteristic
68	C₂×#13094015	C₂²	1	2	yes	—
69	C₂×#13094015	C₂²	1	2	yes	—
70	C₂×#13094014	C₂²	1	2	yes	—
71	C₂×#13094014	C₂²	1	2	yes	—
72	C₂×#13094014	C₂²	1	2	yes	—
73	C₂×#13094014	C₂²	1	2	yes	—
74	C₂×#13094012	C₂²	1	1	yes	characteristic
75	C₂×#13094011	C₂²	1	2	yes	—
76	C₂×#13094010	C₂²	1	2	yes	—
77	C₂×#13094010	C₂²	1	2	yes	—
78	C₂×#13094010	C₂²	1	2	yes	—
79	C₂×#13094010	C₂²	1	2	yes	—
80	C₂×#13094007	C₂²	1	2	yes	—
81	C₂×#13094006	C₂²	1	2	yes	—
82	C₂×#13094006	C₂²	1	2	yes	—
83	C₂×#13094006	C₂²	1	2	yes	—
84	C₂×#13094006	C₂²	1	2	yes	—
85	C₂×#13094005	C₂²	1	2	yes	—
86	C₂×#13094005	C₂²	1	2	yes	—
87	C₂×#13094003	C₂²	1	1	yes	characteristic
88	C₂×#13094003	C₂²	1	1	yes	characteristic
89	C₂×#13094003	C₂²	1	1	yes	characteristic
90	C₂×#13094003	C₂²	1	2	yes	—
91	C₂×#13094003	C₂²	1	2	yes	—
92	C₂×#13094002	C₂²	1	2	yes	—
93	C₂×#13094002	C₂²	1	2	yes	—
94	C₂×#13094002	C₂²	1	2	yes	—
95	C₂×#13094002	C₂²	1	2	yes	—
96	C₂×#13094001	C₂²	1	2	yes	—
97	C₂×#13094001	C₂²	1	2	yes	—
98	C₂×#13094001	C₂²	1	2	yes	—
99	C₂×#13094001	C₂²	1	2	yes	—
100	C₂×#13094000	C₂²	1	2	yes	—
101	C₂×#13093998	C₂²	1	1	yes	characteristic
102	C₂×#13093998	C₂²	1	1	yes	characteristic
103	C₂×#13093998	C₂²	1	1	yes	characteristic
104	C₂×#13093996	C₂²	1	2	yes	—
105	C₂×#13093996	C₂²	1	2	yes	—
106	C₂×#13093995	C₂²	1	2	yes	—
107	C₂×C₄×Dic₉₄	C₂²	1	2	yes	—
108	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
109	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
110	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
111	C₂×C₄×Dic₉₄	C₂²	1	2	yes	—
112	C₂×#13093989	C₂²	1	2	yes	—
113	C₂×#13093989	C₂²	1	2	yes	—
114	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
115	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
116	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
117	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
118	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	—
119	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	—
120	C₂×#13093983	C₂²	1	1	yes	characteristic
121	C₂×#13093983	C₂²	1	1	yes	characteristic
122	C₂×#13093983	C₂²	1	1	yes	characteristic
123	C₂×#13093983	C₂²	1	1	yes	characteristic
124	C₂×#13093982	C₂²	1	2	yes	—
125	C₂×#13093981	C₂²	1	2	yes	—
126	C₂×#13093980	C₂²	1	2	yes	—
127	C₂×#13093980	C₂²	1	2	yes	—
128	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
129	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
130	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	—
131	C₄₇×#529	C₂²	1	16	yes	complemented
132	C₂×#126×C₄₇	C₂²	1	1	yes	characteristic
133	C₂×#126×C₄₇	C₂²	1	1	yes	characteristic
134	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
135	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic
136	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
137	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
138	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
139	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
140	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
142	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
143	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
144	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
145	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
146	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
147	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
148	C₂²×Dic₉₄	C₂³	1	2	yes	—
149	C₂²×Dic₉₄	C₂³	1	2	yes	—
150	C₂²×Dic₉₄	C₂³	1	2	yes	—
151	C₂²×Dic₉₄	C₂³	1	2	yes	—
152	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
153	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
156	C₂³×Dic₄₇	C₂³	1	2	yes	—
157	C₂³×Dic₄₇	C₂³	1	2	yes	—
158	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
159	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
160	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
161	#13094024	C₂³	1	8	yes	—
162	#13094024	C₂³	1	8	yes	—
163	#13094024	C₂³	1	8	yes	—
164	#13094024	C₂³	1	8	yes	—
165	#13094023	C₂³	1	16	yes	—
166	#13094023	C₂³	1	16	yes	—
167	#13094022	C₂³	1	16	yes	—
168	#13094019	C₂³	1	16	yes	—
169	#13094019	C₂³	1	16	yes	—
170	#13094019	C₂³	1	16	yes	—
171	#13094019	C₂³	1	16	yes	—
172	#13094018	C₂³	1	16	yes	—
173	#13094017	C₂³	1	16	yes	—
174	#13094017	C₂³	1	16	yes	—
175	#13094017	C₂³	1	16	yes	—
176	#13094017	C₂³	1	16	yes	—
177	#13094016	C₂³	1	8	yes	—
178	#13094016	C₂³	1	8	yes	—
179	#13094016	C₂³	1	8	yes	—
180	#13094016	C₂³	1	8	yes	—
181	#13094016	C₂³	1	8	yes	—
182	#13094015	C₂³	1	16	yes	—
183	#13094015	C₂³	1	16	yes	—
184	#13094014	C₂³	1	16	yes	—
185	#13094014	C₂³	1	16	yes	—
186	#13094014	C₂³	1	16	yes	—
187	#13094014	C₂³	1	16	yes	—
188	#13094012	C₂³	1	8	yes	—
189	#13094011	C₂³	1	16	yes	—
190	#13094010	C₂³	1	16	yes	—
191	#13094010	C₂³	1	16	yes	—
192	#13094010	C₂³	1	16	yes	—
193	#13094010	C₂³	1	16	yes	—
194	#13094007	C₂³	1	16	yes	—
195	#13094006	C₂³	1	16	yes	—
196	#13094006	C₂³	1	16	yes	—
197	#13094006	C₂³	1	16	yes	—
198	#13094006	C₂³	1	16	yes	—
199	#13094005	C₂³	1	16	yes	—
200	#13094005	C₂³	1	16	yes	—
201	#13094003	C₂³	1	16	yes	—
202	#13094003	C₂³	1	8	yes	—
203	#13094003	C₂³	1	8	yes	—
204	#13094003	C₂³	1	8	yes	—
205	#13094003	C₂³	1	16	yes	—
206	#13094002	C₂³	1	16	yes	—
207	#13094002	C₂³	1	16	yes	—
208	#13094002	C₂³	1	16	yes	—
209	#13094002	C₂³	1	16	yes	—
210	#13094001	C₂³	1	16	yes	—
211	#13094001	C₂³	1	16	yes	—
212	#13094001	C₂³	1	16	yes	—
213	#13094001	C₂³	1	16	yes	—
214	#13094000	C₂³	1	16	yes	—
215	#13093998	C₂³	1	8	yes	—
216	#13093998	C₂³	1	8	yes	—
217	#13093998	C₂³	1	8	yes	—
218	#13093996	C₂³	1	16	yes	—
219	#13093996	C₂³	1	16	yes	—
220	#13093995	C₂³	1	16	yes	—
221	C₄×Dic₉₄	C₂³	1	16	yes	—
222	C₄×Dic₉₄	C₂³	1	8	yes	—
223	C₄×Dic₉₄	C₂³	1	8	yes	—
224	C₄×Dic₉₄	C₂³	1	16	yes	—
225	C₄×Dic₉₄	C₂³	1	8	yes	—
226	#13093989	C₂³	1	16	yes	—
227	#13093989	C₂³	1	16	yes	—
228	C₄×D₁₈₈	C₂³	1	8	yes	—
229	C₄×D₁₈₈	C₂³	1	8	yes	—
230	C₄×D₁₈₈	C₂³	1	8	yes	—
231	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
232	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
233	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
234	#13093983	C₂³	1	8	yes	—
235	#13093983	C₂³	1	8	yes	—
236	#13093983	C₂³	1	8	yes	—
237	#13093983	C₂³	1	8	yes	—
238	#13093982	C₂³	1	16	yes	—
239	#13093981	C₂³	1	16	yes	—
240	#13093980	C₂³	1	16	yes	—
241	#13093980	C₂³	1	16	yes	—
242	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	—
243	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	—
244	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
245	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
250	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
251	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
252	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
256	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
257	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
258	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
259	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
260	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
261	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
262	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
263	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
266	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
267	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
272	C₄⋊C₄×D₄₇	C₂³	1	16	yes	—
273	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
274	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
275	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
276	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
277	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
278	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
279	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
280	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
281	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
282	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
283	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
284	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
285	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
286	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
288	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
289	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
290	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
291	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
292	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
293	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
294	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
295	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
296	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
297	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
298	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
299	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
300	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
301	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
302	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
303	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
304	#126×C₄₇	C₂³	1	8	yes	—
305	#126×C₄₇	C₂³	1	8	yes	—
306	#125×C₄₇	C₂³	1	8	yes	—
307	#124×C₄₇	C₂³	1	8	yes	—
308	#123×C₄₇	C₂³	1	8	yes	—
309	#123×C₄₇	C₂³	1	8	yes	—
310	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
311	#121×C₄₇	C₂³	1	8	yes	—
312	C₄×Q₈×C₄₇	C₂³	1	8	yes	—
313	C₄×D₄×C₄₇	C₂³	1	8	yes	—
314	C₄×D₄×C₄₇	C₂³	1	8	yes	—
315	C₄×D₄×C₄₇	C₂³	1	8	yes	—
316	#117×C₄₇	C₂³	1	8	yes	—
317	#117×C₄₇	C₂³	1	8	yes	—
318	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₄₇	C₂³	1	8	yes	—
343	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
345	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
346	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
347	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
348	C₂³×D₄₇	C₂⁴	1	2	yes	—
349	C₂×Q₈×C₄₇	—	4	2	no	—
350	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
351	C₂×D₄×C₄₇	—	4	2	no	—
352	C₂×D₄×C₄₇	—	4	2	no	—
353	C₂×D₄×C₄₇	—	4	2	no	—
354	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
355	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
356	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
357	C₂²×C₄×C₄₇	—	2	4	no	—
358	C₂²×C₄×C₄₇	—	2	4	no	—
359	C₂²×C₄×C₄₇	—	2	4	no	—
360	C₂²×C₄×C₄₇	—	4	2	no	—
361	C₂²×C₄×C₄₇	—	4	2	no	—
362	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
368	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
375	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
376	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₂²⋊D₄₇	—	4	4	no	—
380	C₂×C₂²⋊D₄₇	—	4	4	no	—
381	C₂×C₂²⋊D₄₇	—	4	4	no	—
382	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
384	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
385	C₂²×Dic₄₇	—	4	4	no	—
386	C₂²×Dic₄₇	—	4	4	no	—
387	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
388	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
389	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
390	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
391	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
392	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
393	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
394	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
395	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
396	C₂×D₁₈₈	—	2	4	no	—
397	C₂×D₁₈₈	C₂⁴	1	4	yes	—
398	C₂×C₄×D₄₇	—	4	4	no	—
399	C₂×C₄×D₄₇	—	4	4	no	—
400	C₂×C₄×D₄₇	—	4	4	no	—
401	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
402	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
403	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
404	C₂×Dic₉₄	—	2	4	no	—
405	C₂×Dic₉₄	—	4	4	no	—
406	C₂×Dic₉₄	—	4	4	no	—
407	C₂×Dic₉₄	—	4	4	no	—
408	C₂×Dic₉₄	—	4	4	no	—
409	C₂×Dic₉₄	C₂⁴	1	4	yes	—
410	C₂×Dic₉₄	C₂⁴	1	8	yes	—
411	C₂×Dic₉₄	C₂⁴	1	8	yes	—
412	C₂×Dic₉₄	C₂⁴	1	8	yes	—
413	C₂×Dic₉₄	C₂⁴	1	8	yes	—
414	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
415	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
416	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
417	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
418	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
419	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
420	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
421	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
422	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
423	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
424	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
425	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
426	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
427	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
428	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
429	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
430	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
431	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
432	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
433	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
434	C₄²×C₄₇	C₂⁴	1	4	yes	—
435	C₄²×C₄₇	C₂⁴	1	4	yes	—
436	C₄²×C₄₇	C₂⁴	1	4	yes	—
437	C₄²×C₄₇	C₂⁴	1	4	yes	—
438	C₄²×C₄₇	C₂⁴	1	4	yes	—
439	C₄²×C₄₇	C₂⁴	1	4	yes	—
440	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
441	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
442	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
443	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
444	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
447	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
448	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
450	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
451	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
454	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
455	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
456	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
457	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
458	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
459	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
460	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
461	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
462	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
463	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
464	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
465	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
466	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
467	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
468	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
469	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
470	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
471	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
472	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
473	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
474	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
475	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
476	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
477	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
478	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
479	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
480	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
481	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
482	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
483	C₄×Dic₄₇	C₂⁴	1	8	yes	—
484	C₄×Dic₄₇	C₂⁴	1	8	yes	—
485	C₄×Dic₄₇	C₂⁴	1	8	yes	—
486	C₄×Dic₄₇	C₂⁴	1	8	yes	—
487	C₄×Dic₄₇	C₂⁴	1	8	yes	—
488	C₄×Dic₄₇	C₂⁴	1	8	yes	—
489	C₄×Dic₄₇	C₂⁴	1	8	yes	—
490	C₂³×C₄₇	—	2	2	no	—
491	C₂³×C₄₇	—	2	2	no	—
492	C₂³×C₄₇	—	2	2	no	—
493	C₂³×C₄₇	—	2	2	no	—
494	C₂³×C₄₇	—	2	2	no	—
495	C₂³×C₄₇	—	2	2	no	—
496	C₂³×C₄₇	—	2	2	no	—
497	C₂³×C₄₇	—	2	2	no	—
498	C₂³×C₄₇	—	2	2	no	—
499	C₂³×C₄₇	C₂⁵	1	2	yes	—
500	C₂³×C₄₇	C₂⁵	1	2	yes	—
501	C₂³×C₄₇	C₂⁵	1	2	yes	—
502	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
503	C₂²×D₄₇	—	2	4	no	—
504	C₂²×D₄₇	—	2	4	no	—
505	C₂²×D₄₇	—	2	4	no	—
506	C₂²×D₄₇	C₂⁵	1	4	yes	—
507	Q₈×C₄₇	—	4	4	no	—
508	D₄×C₄₇	—	4	4	no	—
509	D₄×C₄₇	—	4	4	no	—
510	D₄×C₄₇	—	4	4	no	—
511	C₂×C₄×C₄₇	—	2	2	no	—
512	C₂×C₄×C₄₇	—	2	2	no	—
513	C₂×C₄×C₄₇	—	2	2	no	—
514	C₂×C₄×C₄₇	—	2	2	no	—
515	C₂×C₄×C₄₇	—	2	2	no	—
516	C₂×C₄×C₄₇	—	2	2	no	—
517	C₂×C₄×C₄₇	—	2	2	no	—
518	C₂×C₄×C₄₇	—	2	2	no	—
519	C₂×C₄×C₄₇	—	2	2	no	—
520	C₂×C₄×C₄₇	—	2	2	no	—
521	C₂×C₄×C₄₇	—	2	2	no	—
522	C₂×C₄×C₄₇	—	2	8	no	—
523	C₂×C₄×C₄₇	—	2	8	no	—
524	C₂×C₄×C₄₇	—	2	8	no	—
525	C₂×C₄×C₄₇	—	4	4	no	—
526	C₂×C₄×C₄₇	—	4	4	no	—
527	C₂×C₄×C₄₇	2₋¹⁺⁴	1	4	yes	—
528	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
529	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
530	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
531	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
532	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
533	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
534	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
535	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
536	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
537	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
538	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
539	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
540	C₂²⋊D₄₇	—	4	8	no	—
541	C₂²⋊D₄₇	—	4	8	no	—
542	C₂²⋊D₄₇	—	4	8	no	—
543	C₂×Dic₄₇	—	2	4	no	—
544	C₂×Dic₄₇	—	2	4	no	—
545	C₂×Dic₄₇	—	2	4	no	—
546	C₂×Dic₄₇	—	2	4	no	—
547	C₂×Dic₄₇	—	2	4	no	—
548	C₂×Dic₄₇	—	2	4	no	—
549	C₂×Dic₄₇	—	2	4	no	—
550	C₂×Dic₄₇	—	4	8	no	—
551	C₂×Dic₄₇	—	4	8	no	—
552	C₂×Dic₄₇	C₂⁵	1	4	yes	—
553	C₂×Dic₄₇	C₂⁵	1	4	yes	—
554	C₂×Dic₄₇	C₂⁵	1	4	yes	—
555	C₂×Dic₄₇	C₂⁵	1	4	yes	—
556	C₂×Dic₄₇	C₂⁵	1	4	yes	—
557	C₂×Dic₄₇	C₂⁵	1	4	yes	—
558	C₂×Dic₄₇	C₂⁵	1	4	yes	—
559	D₁₈₈	—	2	8	no	—
560	C₄×D₄₇	—	4	8	no	—
561	C₄×D₄₇	—	4	8	no	—
562	C₄×D₄₇	—	4	8	no	—
563	Dic₉₄	—	2	8	no	—
564	Dic₉₄	—	4	8	no	—
565	Dic₉₄	—	4	8	no	—
566	Dic₉₄	—	4	8	no	—
567	Dic₉₄	—	4	8	no	—
568	C₂×#3565	—	47	1	no	maximal, Sylow
569	C₂²×C₄₇	—	2	2	no	—
570	C₂²×C₄₇	—	2	2	no	—
571	C₂²×C₄₇	—	2	2	no	—
572	C₂²×C₄₇	—	2	2	no	—
573	C₂²×C₄₇	—	2	2	no	—
574	C₂²×C₄₇	—	2	2	no	—
575	C₂²×C₄₇	—	2	2	no	—
576	C₂²×C₄₇	—	2	2	no	—
577	C₂²×C₄₇	—	2	2	no	—
578	C₂²×C₄₇	—	4	4	no	—
579	C₂²×C₄₇	—	4	4	no	—
580	C₂²×C₄₇	—	4	4	no	—
581	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
582	C₂²×C₄₇	#585	1	2	yes	—
583	C₂²×C₄₇	#585	1	2	yes	—
584	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
585	C₂×D₄₇	—	2	4	no	—
586	C₂×D₄₇	—	2	4	no	—
587	C₂×D₄₇	—	2	4	no	—
588	C₂×D₄₇	—	4	8	no	—
589	C₄×C₄₇	—	2	2	no	—
590	C₄×C₄₇	—	2	2	no	—
591	C₄×C₄₇	—	2	2	no	—
592	C₄×C₄₇	—	2	2	no	—
593	C₄×C₄₇	—	2	2	no	—
594	C₄×C₄₇	—	2	2	no	—
595	C₄×C₄₇	—	2	2	no	—
596	C₄×C₄₇	—	2	2	no	—
597	C₄×C₄₇	—	2	2	no	—
598	C₄×C₄₇	—	2	2	no	—
599	C₄×C₄₇	—	2	2	no	—
600	C₄×C₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
601	Dic₄₇	—	2	4	no	—
602	Dic₄₇	—	2	4	no	—
603	Dic₄₇	—	2	4	no	—
604	Dic₄₇	—	2	4	no	—
605	Dic₄₇	—	2	4	no	—
606	Dic₄₇	—	2	4	no	—
607	Dic₄₇	—	2	4	no	—
608	#3565	—	47	32	no	—
609	C₂×#563	—	47	2	no	—
610	C₂×#562	—	47	2	no	—
611	C₂×#557	—	47	1	no	—
612	C₂×#556	—	47	2	no	—
613	C₂×#556	—	47	1	no	—
614	C₂×#555	—	47	1	no	—
615	C₂×#554	—	47	1	no	—
616	C₂×#553	—	47	1	no	—
617	C₂×#553	—	47	1	no	—
618	C₂×#552	—	47	2	no	—
619	C₂×#552	—	47	1	no	—
620	C₂×#552	—	47	1	no	—
621	C₂×#544	—	47	1	no	—
622	C₂×#544	—	47	1	no	—
623	C₂×#542	—	47	2	no	—
624	C₂×#542	—	47	2	no	—
625	C₂×#542	—	47	1	no	—
626	C₂×#542	—	47	1	no	—
627	C₂×#541	—	47	2	no	—
628	C₂×#539	—	47	2	no	—
629	C₂×#533	—	47	1	no	—
630	C₂×#529	—	47	1	no	—
631	C₂×#529	D₄₇	1	1	yes	characteristic, complemented
632	C₂×C₄₇	—	4	2	no	—
633	C₂×C₄₇	—	4	2	no	—
634	C₂×C₄₇	—	4	2	no	—
635	C₂×C₄₇	#3565	1	4	yes	complemented
636	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
637	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
638	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
639	D₄₇	—	4	4	no	—
640	#563	—	47	32	no	—
641	#562	—	47	32	no	—
642	#557	—	47	16	no	—
643	#556	—	47	32	no	—
644	#556	—	47	16	no	—
645	#555	—	47	16	no	—
646	#554	—	47	16	no	—
647	#553	—	47	16	no	—
648	#553	—	47	16	no	—
649	#552	—	47	32	no	—
650	#552	—	47	16	no	—
651	#552	—	47	16	no	—
652	#544	—	47	16	no	—
653	#544	—	47	16	no	—
654	#542	—	47	32	no	—
655	#542	—	47	32	no	—
656	#542	—	47	16	no	—
657	#542	—	47	16	no	—
658	#541	—	47	32	no	—
659	#539	—	47	32	no	—
660	#533	—	47	16	no	—
661	C₂×C₄⋊Q₈	—	47	2	no	—
662	C₂×C₄⋊Q₈	—	47	2	no	—
663	C₂×C₄⋊Q₈	—	47	2	no	—
664	C₂×C₄⋊Q₈	—	47	1	no	—
665	C₂×C₄⋊Q₈	—	47	1	no	—
666	C₂×C₄⋊Q₈	—	47	1	no	—
667	C₂×C₄⋊Q₈	—	47	1	no	—
668	#529	—	47	16	no	—
669	#529	C₂×D₄₇	1	16	yes	complemented
670	C₂×#126	—	47	2	no	—
671	C₂×#126	—	47	2	no	—
672	C₂×#126	—	47	2	no	—
673	C₂×#126	—	47	2	no	—
674	C₂×#126	—	47	2	no	—
675	C₂×#126	—	47	2	no	—
676	C₂×#126	—	47	2	no	—
677	C₂×#126	—	47	2	no	—
678	C₂×#126	—	47	2	no	—
679	C₂×#126	C₂×D₄₇	1	1	yes	characteristic
680	C₂×#126	C₂×D₄₇	1	1	yes	characteristic
681	C₂×#125	—	47	2	no	—
682	C₂×#125	—	47	2	no	—
683	C₂×#125	—	47	2	no	—
684	C₂×#125	—	47	2	no	—
685	C₂×#125	—	47	2	no	—
686	C₂×#125	—	47	2	no	—
687	C₂×#125	—	47	1	no	—
688	C₂×#125	—	47	1	no	—
689	C₂×#125	—	47	1	no	—
690	C₂×#125	—	47	1	no	—
691	C₂×#125	—	47	1	no	—
692	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
693	C₂×#124	—	47	2	no	—
694	C₂×#124	—	47	2	no	—
695	C₂×#124	—	47	2	no	—
696	C₂×#124	—	47	2	no	—
697	C₂×#124	—	47	2	no	—
698	C₂×#124	—	47	1	no	—
699	C₂×#124	C₂×D₄₇	1	1	yes	characteristic
700	C₂×#123	—	47	2	no	—
701	C₂×#123	—	47	2	no	—
702	C₂×#123	—	47	2	no	—
703	C₂×#123	—	47	2	no	—
704	C₂×#123	—	47	2	no	—
705	C₂×#123	—	47	2	no	—
706	C₂×#123	—	47	2	no	—
707	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
708	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
709	C₂×C₂²⋊Q₈	—	47	2	no	—
710	C₂×C₂²⋊Q₈	—	47	1	no	—
711	C₂×C₂²⋊Q₈	—	47	2	no	—
712	C₂×C₂²⋊Q₈	—	47	2	no	—
713	C₂×C₂²⋊Q₈	—	47	1	no	—
714	C₂×C₂²⋊Q₈	—	47	1	no	—
715	C₂×C₂²⋊Q₈	—	47	2	no	—
716	C₂×C₂²⋊Q₈	—	47	2	no	—
717	C₂×C₂²⋊Q₈	—	47	2	no	—
718	C₂×C₂²⋊Q₈	—	47	2	no	—
719	C₂×C₂²⋊Q₈	—	47	2	no	—
720	C₂×C₂²⋊Q₈	—	47	2	no	—
721	C₂×C₂²⋊Q₈	—	47	2	no	—
722	C₂×C₂²⋊Q₈	—	47	2	no	—
723	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
724	C₂×#121	—	47	2	no	—
725	C₂×#121	—	47	2	no	—
726	C₂×#121	—	47	2	no	—
727	C₂×#121	—	47	1	no	—
728	C₂×#121	—	47	1	no	—
729	C₂×#121	—	47	1	no	—
730	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
731	C₂×C₄×Q₈	—	47	2	no	—
732	C₂×C₄×Q₈	—	47	2	no	—
733	C₂×C₄×Q₈	—	47	1	no	—
734	C₂×C₄×Q₈	—	47	2	no	—
735	C₂×C₄×Q₈	—	47	2	no	—
736	C₂×C₄×Q₈	—	47	1	no	—
737	C₂×C₄×Q₈	—	47	1	no	—
738	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
739	C₂×C₄×D₄	—	47	2	no	—
740	C₂×C₄×D₄	—	47	2	no	—
741	C₂×C₄×D₄	—	47	2	no	—
742	C₂×C₄×D₄	—	47	1	no	—
743	C₂×C₄×D₄	—	47	1	no	—
744	C₂×C₄×D₄	—	47	1	no	—
745	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
746	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
747	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
748	C₂×#117	—	47	1	no	—
749	C₂×#117	—	47	1	no	—
750	C₂×#117	—	47	1	no	—
751	C₂×#117	—	47	1	no	—
752	C₂×#117	—	47	2	no	—
753	C₂×#117	—	47	2	no	—
754	C₂×#117	—	47	2	no	—
755	C₂×#117	—	47	2	no	—
756	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
757	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
758	C₂²×C₄⋊C₄	—	47	1	no	—
759	C₂²×C₄⋊C₄	—	47	1	no	—
760	C₂²×C₄⋊C₄	—	47	2	no	—
761	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
762	C₄₇	C₂×#3565	1	1	yes	characteristic, complemented, Sylow
763	C₂²×Q₈	—	47	1	no	—
764	C₂²×Q₈	—	47	2	no	—
765	C₂²×Q₈	—	47	2	no	—
766	C₂²×Q₈	—	47	2	no	—
767	C₂²×Q₈	—	47	2	no	—
768	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
769	C₂²×D₄	—	47	2	no	—
770	C₂²×D₄	—	47	2	no	—
771	C₂²×D₄	—	47	2	no	—
772	C₂²×D₄	—	47	1	no	—
773	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
774	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
775	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
776	C₂³×C₄	—	47	2	no	—
777	C₂³×C₄	—	47	2	no	—
778	C₂³×C₄	—	47	2	no	—
779	C₂³×C₄	—	47	2	no	—
780	C₂³×C₄	—	47	2	no	—
781	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
782	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
783	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
784	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
785	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
786	C₄⋊Q₈	—	47	16	no	—
787	C₄⋊Q₈	—	47	16	no	—
788	C₄⋊Q₈	—	47	16	no	—
789	C₄⋊Q₈	—	47	8	no	—
790	C₄⋊Q₈	—	47	8	no	—
791	C₄⋊Q₈	—	47	8	no	—
792	C₄⋊Q₈	—	47	8	no	—
793	#126	—	47	16	no	—
794	#126	—	47	16	no	—
795	#126	—	47	16	no	—
796	#126	—	47	16	no	—
797	#126	—	47	16	no	—
798	#126	—	47	16	no	—
799	#126	—	47	16	no	—
800	#126	—	47	16	no	—
801	#126	—	47	16	no	—
802	#126	C₂²×D₄₇	1	8	yes	—
803	#126	C₂²×D₄₇	1	8	yes	—
804	#125	—	47	16	no	—
805	#125	—	47	16	no	—
806	#125	—	47	16	no	—
807	#125	—	47	16	no	—
808	#125	—	47	16	no	—
809	#125	—	47	16	no	—
810	#125	—	47	8	no	—
811	#125	—	47	8	no	—
812	#125	—	47	8	no	—
813	#125	—	47	8	no	—
814	#125	—	47	8	no	—
815	#125	C₂²×D₄₇	1	8	yes	—
816	#124	—	47	16	no	—
817	#124	—	47	16	no	—
818	#124	—	47	16	no	—
819	#124	—	47	16	no	—
820	#124	—	47	16	no	—
821	#124	—	47	8	no	—
822	#124	C₂²×D₄₇	1	8	yes	—
823	#123	—	47	16	no	—
824	#123	—	47	16	no	—
825	#123	—	47	16	no	—
826	#123	—	47	16	no	—
827	#123	—	47	16	no	—
828	#123	—	47	16	no	—
829	#123	—	47	16	no	—
830	#123	C₂²×D₄₇	1	8	yes	—
831	#123	C₂²×D₄₇	1	8	yes	—
832	C₂²⋊Q₈	—	47	16	no	—
833	C₂²⋊Q₈	—	47	8	no	—
834	C₂²⋊Q₈	—	47	16	no	—
835	C₂²⋊Q₈	—	47	16	no	—
836	C₂²⋊Q₈	—	47	8	no	—
837	C₂²⋊Q₈	—	47	8	no	—
838	C₂²⋊Q₈	—	47	16	no	—
839	C₂²⋊Q₈	—	47	16	no	—
840	C₂²⋊Q₈	—	47	16	no	—
841	C₂²⋊Q₈	—	47	16	no	—
842	C₂²⋊Q₈	—	47	16	no	—
843	C₂²⋊Q₈	—	47	16	no	—
844	C₂²⋊Q₈	—	47	16	no	—
845	C₂²⋊Q₈	—	47	16	no	—
846	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	—
847	#121	—	47	16	no	—
848	#121	—	47	16	no	—
849	#121	—	47	16	no	—
850	#121	—	47	8	no	—
851	#121	—	47	8	no	—
852	#121	—	47	8	no	—
853	#121	C₂²×D₄₇	1	8	yes	—
854	C₄×Q₈	—	47	16	no	—
855	C₄×Q₈	—	47	16	no	—
856	C₄×Q₈	—	47	8	no	—
857	C₄×Q₈	—	47	16	no	—
858	C₄×Q₈	—	47	16	no	—
859	C₄×Q₈	—	47	8	no	—
860	C₄×Q₈	—	47	8	no	—
861	C₄×Q₈	C₂²×D₄₇	1	8	yes	—
862	C₄×D₄	—	47	16	no	—
863	C₄×D₄	—	47	16	no	—
864	C₄×D₄	—	47	16	no	—
865	C₄×D₄	—	47	8	no	—
866	C₄×D₄	—	47	8	no	—
867	C₄×D₄	—	47	8	no	—
868	C₄×D₄	C₂²×D₄₇	1	8	yes	—
869	C₄×D₄	C₂²×D₄₇	1	8	yes	—
870	C₄×D₄	C₂²×D₄₇	1	8	yes	—
871	#117	—	47	8	no	—
872	#117	—	47	8	no	—
873	#117	—	47	8	no	—
874	#117	—	47	8	no	—
875	#117	—	47	16	no	—
876	#117	—	47	16	no	—
877	#117	—	47	16	no	—
878	#117	—	47	16	no	—
879	#117	C₂²×D₄₇	1	8	yes	—
880	#117	C₂²×D₄₇	1	8	yes	—
881	C₂×C₄⋊C₄	—	47	1	no	—
882	C₂×C₄⋊C₄	—	47	1	no	—
883	C₂×C₄⋊C₄	—	47	1	no	—
884	C₂×C₄⋊C₄	—	47	1	no	—
885	C₂×C₄⋊C₄	—	47	2	no	—
886	C₂×C₄⋊C₄	—	47	2	no	—
887	C₂×C₄⋊C₄	—	47	2	no	—
888	C₂×C₄⋊C₄	—	47	2	no	—
889	C₂×C₄⋊C₄	—	47	2	no	—
890	C₂×C₄⋊C₄	—	47	8	no	—
891	C₂×C₄⋊C₄	—	47	8	no	—
892	C₂×C₄⋊C₄	—	47	1	no	—
893	C₂×C₄⋊C₄	—	47	1	no	—
894	C₂×C₄⋊C₄	—	47	2	no	—
895	C₂×C₄⋊C₄	—	47	2	no	—
896	C₂×C₄⋊C₄	—	47	2	no	—
897	C₂×C₄⋊C₄	—	47	2	no	—
898	C₂×C₄⋊C₄	—	47	2	no	—
899	C₂×C₄⋊C₄	—	47	2	no	—
900	C₂×C₄⋊C₄	—	47	2	no	—
901	C₂×C₄⋊C₄	—	47	2	no	—
902	C₂×C₄⋊C₄	—	47	2	no	—
903	C₂×C₄⋊C₄	—	47	2	no	—
904	C₂×C₄⋊C₄	—	47	2	no	—
905	C₂×C₄⋊C₄	—	47	2	no	—
906	C₂×C₄⋊C₄	—	47	2	no	—
907	C₂×C₄⋊C₄	—	47	2	no	—
908	C₂×C₄⋊C₄	—	47	2	no	—
909	C₂×C₄⋊C₄	—	47	2	no	—
910	C₂×C₄⋊C₄	—	47	2	no	—
911	C₂×C₄⋊C₄	—	47	16	no	—
912	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	—	47	2	no	—
923	C₂×C₂²⋊C₄	—	47	2	no	—
924	C₂×C₂²⋊C₄	—	47	2	no	—
925	C₂×C₂²⋊C₄	—	47	2	no	—
926	C₂×C₂²⋊C₄	—	47	2	no	—
927	C₂×C₂²⋊C₄	—	47	2	no	—
928	C₂×C₂²⋊C₄	—	47	2	no	—
929	C₂×C₂²⋊C₄	—	47	2	no	—
930	C₂×C₂²⋊C₄	—	47	2	no	—
931	C₂×C₂²⋊C₄	—	47	2	no	—
932	C₂×C₂²⋊C₄	—	47	2	no	—
933	C₂×C₂²⋊C₄	—	47	2	no	—
934	C₂×C₂²⋊C₄	—	47	2	no	—
935	C₂×C₂²⋊C₄	—	47	2	no	—
936	C₂×C₂²⋊C₄	—	47	2	no	—
937	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
947	C₂×C₄²	—	47	2	no	—
948	C₂×C₄²	—	47	2	no	—
949	C₂×C₄²	—	47	2	no	—
950	C₂×C₄²	—	47	2	no	—
951	C₂×C₄²	—	47	2	no	—
952	C₂×C₄²	—	47	2	no	—
953	C₂×C₄²	—	47	2	no	—
954	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
955	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
956	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
958	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
959	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
960	C₂×C₄²	C₂²×D₄₇	1	8	yes	—
961	C₂⁴	—	47	2	no	—
962	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
963	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
964	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
965	C₂×Q₈	—	4	2	no	—
966	C₂×Q₈	—	47	4	no	—
967	C₂×Q₈	—	47	8	no	—
968	C₂×Q₈	—	47	8	no	—
969	C₂×Q₈	—	47	8	no	—
970	C₂×Q₈	—	47	8	no	—
971	C₂×Q₈	—	94	4	no	—
972	C₂×Q₈	—	188	4	no	—
973	C₂×Q₈	—	188	4	no	—
974	C₂×Q₈	—	188	4	no	—
975	C₂×Q₈	—	188	4	no	—
976	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
977	C₂×D₄	—	4	2	no	—
978	C₂×D₄	—	4	2	no	—
979	C₂×D₄	—	4	2	no	—
980	C₂×D₄	—	47	8	no	—
981	C₂×D₄	—	47	8	no	—
982	C₂×D₄	—	47	8	no	—
983	C₂×D₄	—	47	4	no	—
984	C₂×D₄	—	94	4	no	—
985	C₂×D₄	—	188	4	no	—
986	C₂×D₄	—	188	4	no	—
987	C₂×D₄	—	188	4	no	—
988	C₂×D₄	C₂³×D₄₇	1	4	yes	—
989	C₂×D₄	C₂³×D₄₇	1	4	yes	—
990	C₂×D₄	C₂³×D₄₇	1	4	yes	—
991	C₂²×C₄	—	2	4	no	—
992	C₂²×C₄	—	2	4	no	—
993	C₂²×C₄	—	2	4	no	—
994	C₂²×C₄	—	4	2	no	—
995	C₂²×C₄	—	4	2	no	—
996	C₂²×C₄	—	47	2	no	—
997	C₂²×C₄	—	47	2	no	—
998	C₂²×C₄	—	47	2	no	—
999	C₂²×C₄	—	47	2	no	—
1000	C₂²×C₄	—	47	2	no	—
1001	C₂²×C₄	—	47	2	no	—
1002	C₂²×C₄	—	47	2	no	—
1003	C₂²×C₄	—	47	8	no	—
1004	C₂²×C₄	—	47	8	no	—
1005	C₂²×C₄	—	47	8	no	—
1006	C₂²×C₄	—	47	8	no	—
1007	C₂²×C₄	—	47	8	no	—
1008	C₂²×C₄	—	188	4	no	—
1009	C₂²×C₄	—	188	4	no	—
1010	C₂²×C₄	—	188	4	no	—
1011	C₂²×C₄	—	188	4	no	—
1012	C₂²×C₄	—	188	4	no	—
1013	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1014	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1015	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1016	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1017	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1020	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1023	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1028	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1029	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1030	C₄⋊C₄	—	47	8	no	—
1031	C₄⋊C₄	—	47	8	no	—
1032	C₄⋊C₄	—	47	8	no	—
1033	C₄⋊C₄	—	47	8	no	—
1034	C₄⋊C₄	—	47	8	no	—
1035	C₄⋊C₄	—	47	8	no	—
1036	C₄⋊C₄	—	47	8	no	—
1037	C₄⋊C₄	—	47	8	no	—
1038	C₄⋊C₄	—	47	8	no	—
1039	C₄⋊C₄	—	47	8	no	—
1040	C₄⋊C₄	—	47	8	no	—
1041	C₄⋊C₄	—	47	8	no	—
1042	C₄⋊C₄	—	47	8	no	—
1043	C₄⋊C₄	—	47	8	no	—
1044	C₄⋊C₄	—	47	8	no	—
1045	C₄⋊C₄	—	47	8	no	—
1046	C₄⋊C₄	—	47	4	no	—
1047	C₄⋊C₄	—	47	4	no	—
1048	C₄⋊C₄	—	47	4	no	—
1049	C₄⋊C₄	—	47	4	no	—
1050	C₄⋊C₄	—	47	8	no	—
1051	C₄⋊C₄	—	47	8	no	—
1052	C₄⋊C₄	—	47	8	no	—
1053	C₄⋊C₄	—	47	4	no	—
1054	C₄⋊C₄	—	47	4	no	—
1055	C₄⋊C₄	—	47	8	no	—
1056	C₄⋊C₄	—	47	8	no	—
1057	C₄⋊C₄	—	47	8	no	—
1058	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1059	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1060	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1061	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1062	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1063	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1064	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1065	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1066	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1067	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1068	C₂²⋊C₄	—	47	8	no	—
1069	C₂²⋊C₄	—	47	8	no	—
1070	C₂²⋊C₄	—	47	8	no	—
1071	C₂²⋊C₄	—	47	8	no	—
1072	C₂²⋊C₄	—	47	8	no	—
1073	C₂²⋊C₄	—	47	8	no	—
1074	C₂²⋊C₄	—	47	8	no	—
1075	C₂²⋊C₄	—	47	8	no	—
1076	C₂²⋊C₄	—	47	8	no	—
1077	C₂²⋊C₄	—	47	8	no	—
1078	C₂²⋊C₄	—	47	8	no	—
1079	C₂²⋊C₄	—	47	8	no	—
1080	C₂²⋊C₄	—	47	8	no	—
1081	C₂²⋊C₄	—	47	8	no	—
1082	C₂²⋊C₄	—	47	8	no	—
1083	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1084	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1085	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1086	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1087	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1088	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1089	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1090	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1091	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1092	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1093	C₄²	—	47	8	no	—
1094	C₄²	—	47	8	no	—
1095	C₄²	—	47	8	no	—
1096	C₄²	—	47	8	no	—
1097	C₄²	—	47	8	no	—
1098	C₄²	—	47	8	no	—
1099	C₄²	—	47	8	no	—
1100	C₄²	C₂³×D₄₇	1	4	yes	—
1101	C₄²	C₂³×D₄₇	1	4	yes	—
1102	C₄²	C₂³×D₄₇	1	4	yes	—
1103	C₄²	C₂³×D₄₇	1	4	yes	—
1104	C₄²	C₂³×D₄₇	1	4	yes	—
1105	C₄²	C₂³×D₄₇	1	4	yes	—
1106	C₂³	—	2	2	no	—
1107	C₂³	—	2	2	no	—
1108	C₂³	—	2	2	no	—
1109	C₂³	—	2	2	no	—
1110	C₂³	—	2	2	no	—
1111	C₂³	—	2	2	no	—
1112	C₂³	—	2	2	no	—
1113	C₂³	—	2	2	no	—
1114	C₂³	—	2	2	no	—
1115	C₂³	—	47	4	no	—
1116	C₂³	—	94	4	no	—
1117	C₂³	—	94	4	no	—
1118	C₂³	—	94	4	no	—
1119	C₂³	C₂⁴×D₄₇	1	2	yes	—
1120	C₂³	C₂⁴×D₄₇	1	2	yes	—
1121	C₂³	C₂⁴×D₄₇	1	2	yes	—
1122	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1123	Q₈	—	4	4	no	—
1124	Q₈	—	94	8	no	—
1125	Q₈	—	188	8	no	—
1126	Q₈	—	188	8	no	—
1127	Q₈	—	188	8	no	—
1128	Q₈	—	188	8	no	—
1129	D₄	—	4	4	no	—
1130	D₄	—	4	4	no	—
1131	D₄	—	4	4	no	—
1132	D₄	—	94	8	no	—
1133	D₄	—	188	8	no	—
1134	D₄	—	188	8	no	—
1135	D₄	—	188	8	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	8	no	—
1148	C₂×C₄	—	2	8	no	—
1149	C₂×C₄	—	2	8	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	4	4	no	—
1152	C₂×C₄	—	47	4	no	—
1153	C₂×C₄	—	47	4	no	—
1154	C₂×C₄	—	47	4	no	—
1155	C₂×C₄	—	47	4	no	—
1156	C₂×C₄	—	47	4	no	—
1157	C₂×C₄	—	47	4	no	—
1158	C₂×C₄	—	47	4	no	—
1159	C₂×C₄	—	94	4	no	—
1160	C₂×C₄	—	94	4	no	—
1161	C₂×C₄	—	94	4	no	—
1162	C₂×C₄	—	94	4	no	—
1163	C₂×C₄	—	94	4	no	—
1164	C₂×C₄	—	94	4	no	—
1165	C₂×C₄	—	94	4	no	—
1166	C₂×C₄	—	188	8	no	—
1167	C₂×C₄	—	188	8	no	—
1168	C₂×C₄	—	188	8	no	—
1169	C₂×C₄	—	188	8	no	—
1170	C₂×C₄	—	188	8	no	—
1171	C₂×C₄	#13094071	1	4	yes	—
1172	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1173	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1174	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1175	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1176	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1177	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1178	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1179	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1180	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1181	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1182	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1183	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	2	2	no	—
1186	C₂²	—	2	2	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	2	2	no	—
1190	C₂²	—	2	2	no	—
1191	C₂²	—	2	2	no	—
1192	C₂²	—	2	2	no	—
1193	C₂²	—	4	4	no	—
1194	C₂²	—	4	4	no	—
1195	C₂²	—	4	4	no	—
1196	C₂²	—	94	4	no	—
1197	C₂²	—	94	4	no	—
1198	C₂²	—	94	4	no	—
1199	C₂²	—	188	8	no	—
1200	C₂²	C₂×#13094071	1	2	yes	—
1201	C₂²	#15689959	1	2	yes	—
1202	C₂²	#15689959	1	2	yes	—
1203	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1204	C₄	—	2	2	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	2	2	no	—
1209	C₄	—	2	2	no	—
1210	C₄	—	2	2	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	2	no	—
1215	C₄	—	94	4	no	—
1216	C₄	—	94	4	no	—
1217	C₄	—	94	4	no	—
1218	C₄	—	94	4	no	—
1219	C₄	—	94	4	no	—
1220	C₄	—	94	4	no	—
1221	C₄	—	94	4	no	—
1222	C₄	C₂×#13094071	1	4	yes	—
1223	C₂	—	4	2	no	—
1224	C₂	—	4	2	no	—
1225	C₂	—	4	2	no	—
1226	C₂	—	188	4	no	—
1227	C₂	#20258033	1	4	yes	direct product factor
1228	C₂	C₂²×#13094071	1	1	yes	characteristic
1229	C₂	C₂×#15689959	1	1	yes	characteristic
1230	C₂	C₂×#15689959	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#529	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#529	D₄₇
hypocenter	C₄₇	C₂×#3565
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #20258033	C₂	direct (N × H)
2. C₂×#15689874	C₂	semidirect
3. C₂×#15689868	C₂	semidirect
4. C₂×#15689851	C₂	semidirect
5. C₂×#15689843	C₂	semidirect
6. C₂×#15689840	C₂	semidirect
7. C₂×#15689838	C₂	semidirect
8. C₂×#15689833	C₂	semidirect
9. C₂×#15689819	C₂	semidirect
10. C₂×#15689819	C₂	semidirect
11. C₂×#15689813	C₂	semidirect
12. C₂×#15689813	C₂	semidirect
13. C₂×#15689809	C₂	semidirect
14. C₂×#15689751	C₂	semidirect
15. C₂×#15689751	C₂	semidirect
16. C₂×#15689744	C₂	semidirect
17. C₂×#15689744	C₂	semidirect
18. C₂×#15689741	C₂	semidirect
19. C₂×#15689737	C₂	semidirect
20. C₂×#15689732	C₂	semidirect
21. C₂×#15689716	C₂	semidirect
22. C₂×#15689680	C₂	semidirect
23. C₂×#15689657	C₂	semidirect
24. C₂×C₄₇×#529	C₂	semidirect
25. #15689874	C₂²	semidirect
26. #15689868	C₂²	semidirect
27. #15689851	C₂²	semidirect
28. #15689843	C₂²	semidirect
29. #15689840	C₂²	semidirect
30. #15689838	C₂²	semidirect
31. #15689833	C₂²	semidirect
32. #15689819	C₂²	semidirect
33. #15689819	C₂²	semidirect
34. #15689813	C₂²	semidirect
35. #15689813	C₂²	semidirect
36. #15689809	C₂²	semidirect
37. #15689751	C₂²	semidirect
38. #15689751	C₂²	semidirect
39. #15689744	C₂²	semidirect
40. #15689744	C₂²	semidirect
41. #15689741	C₂²	semidirect
42. #15689737	C₂²	semidirect
43. #15689732	C₂²	semidirect
44. #15689716	C₂²	semidirect
45. #15689680	C₂²	semidirect
53. #15689657	C₂²	semidirect
131. C₄₇×#529	C₂²	semidirect
631. C₂×#529	D₄₇	semidirect
635. C₂×C₄₇	#3565	semidirect
669. #529	C₂×D₄₇	semidirect
762. C₄₇	C₂×#3565	semidirect
1227. C₂	#20258033	direct (N × H)

Maximal subgroups

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

subgroup	index
#20258033	2
C₂×#15689874	2
C₂×#15689868	2
C₂×#15689851	2
C₂×#15689843	2
C₂×#15689840	2
C₂×#15689838	2
C₂×#15689833	2
C₂×#15689819	2
C₂×#15689813	2
C₂×#15689809	2
C₂×#15689751	2
C₂×#15689744	2
C₂×#15689741	2
C₂×#15689737	2
C₂×#15689732	2
C₂×#15689716	2
C₂×#15689680	2
C₂×#15689657	2
C₂×C₄₇×#529	2
C₂×#3565	47

Subgroups — C2×#20258033 #27123794

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20258033 #27123794