Subgroups — C₂×#20257132 #27124703

Order 12032.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257132	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689840	C₂	1	2	yes	maximal, complemented
3	C₂×#15689829	C₂	1	2	yes	maximal, complemented
4	C₂×#15689811	C₂	1	2	yes	maximal, complemented
5	C₂×#15689809	C₂	1	2	yes	maximal, complemented
6	C₂×#15689805	C₂	1	2	yes	maximal, complemented
7	C₂×#15689805	C₂	1	2	yes	maximal, complemented
8	C₂×#15689798	C₂	1	2	yes	maximal, complemented
9	C₂×#15689798	C₂	1	2	yes	maximal, complemented
10	C₂×#15689753	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689746	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689744	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689733	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689698	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689678	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15689677	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#15689660	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689658	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#15689636	C₂	1	1	yes	maximal, characteristic
20	C₂×C₂²⋊Q₈×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#15689605	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689599	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#117×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#541	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625354	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₄₇	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic
28	#15689840	C₂²	1	32	yes	complemented
29	#15689829	C₂²	1	32	yes	complemented
30	#15689811	C₂²	1	32	yes	complemented
31	#15689809	C₂²	1	32	yes	complemented
32	#15689805	C₂²	1	32	yes	complemented
33	#15689805	C₂²	1	32	yes	complemented
34	#15689798	C₂²	1	32	yes	complemented
35	#15689798	C₂²	1	32	yes	complemented
36	#15689753	C₂²	1	16	yes	complemented
37	#15689746	C₂²	1	16	yes	complemented
38	#15689744	C₂²	1	16	yes	complemented
39	#15689733	C₂²	1	16	yes	complemented
40	#15689698	C₂²	1	16	yes	complemented
41	#15689678	C₂²	1	16	yes	complemented
42	#15689677	C₂²	1	16	yes	complemented
43	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13094023	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13094023	C₂²	1	2	yes	complemented
46	C₂×#13094022	C₂²	1	1	yes	characteristic, complemented
47	#15689660	C₂²	1	16	yes	complemented
48	#15689658	C₂²	1	16	yes	complemented
49	C₂×#13094019	C₂²	1	2	yes	complemented
50	C₂×#13094019	C₂²	1	2	yes	complemented
51	C₂×#13094019	C₂²	1	2	yes	complemented
52	C₂×#13094019	C₂²	1	2	yes	complemented
53	C₂×#13094017	C₂²	1	2	yes	—
54	C₂×#13094017	C₂²	1	2	yes	—
55	C₂×#13094015	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13094015	C₂²	1	2	yes	complemented
57	C₂×#13094015	C₂²	1	2	yes	complemented
58	C₂×#13094014	C₂²	1	2	yes	complemented
59	C₂×#13094014	C₂²	1	2	yes	complemented
60	C₂×#13094014	C₂²	1	2	yes	complemented
61	C₂×#13094013	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13094012	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13094010	C₂²	1	2	yes	—
64	C₂×#13094010	C₂²	1	2	yes	—
65	#15689636	C₂²	1	16	yes	—
66	C₂×#13094009	C₂²	1	2	yes	—
67	C₂×#13094009	C₂²	1	2	yes	—
68	C₂×#13094009	C₂²	1	2	yes	—
69	C₂×#13094009	C₂²	1	2	yes	—
70	C₂×#13094009	C₂²	1	2	yes	—
71	C₂×#13094006	C₂²	1	2	yes	—
72	C₂×#13094006	C₂²	1	2	yes	—
73	C₂×#13094004	C₂²	1	2	yes	—
74	C₂×#13094004	C₂²	1	1	yes	characteristic
75	C₂×#13094004	C₂²	1	2	yes	—
76	C₂×#13094004	C₂²	1	2	yes	complemented
77	C₂×#13094003	C₂²	1	1	yes	characteristic
78	C₂×#13094002	C₂²	1	2	yes	—
79	C₂×#13094002	C₂²	1	2	yes	—
80	C₂×#13094002	C₂²	1	2	yes	—
81	C₂×#13094002	C₂²	1	2	yes	complemented
82	C₂×#13094002	C₂²	1	2	yes	complemented
83	C₂×#13094002	C₂²	1	2	yes	complemented
84	C₂×#13094001	C₂²	1	2	yes	—
85	C₂×#13094000	C₂²	1	1	yes	characteristic
86	C₂×#13094000	C₂²	1	1	yes	characteristic
87	C₂²⋊Q₈×D₄₇	C₂²	1	16	yes	complemented
88	C₂×#13093999	C₂²	1	1	yes	characteristic
89	C₂×#13093998	C₂²	1	1	yes	characteristic
90	C₂×#13093994	C₂²	1	2	yes	—
91	#15689605	C₂²	1	16	yes	complemented
92	#15689599	C₂²	1	16	yes	complemented
93	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
94	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₄×Dic₉₄	C₂²	1	2	yes	complemented
96	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄×Dic₉₄	C₂²	1	2	yes	complemented
98	C₂×#13093989	C₂²	1	2	yes	complemented
99	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13093989	C₂²	1	2	yes	complemented
101	C₂×C₄×D₁₈₈	C₂²	1	2	yes	—
102	C₂×C₄×D₁₈₈	C₂²	1	2	yes	—
103	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13093986	C₂²	1	2	yes	—
105	C₂×#13093986	C₂²	1	2	yes	—
106	C₂×#13093986	C₂²	1	2	yes	—
107	C₂×#13093986	C₂²	1	1	yes	characteristic, complemented
108	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	—
109	C₂×#13093983	C₂²	1	1	yes	characteristic
110	C₂×#13093982	C₂²	1	1	yes	characteristic
111	C₂×#13093982	C₂²	1	1	yes	characteristic
112	C₂×#13093982	C₂²	1	1	yes	characteristic
113	C₂×#13093982	C₂²	1	2	yes	—
114	C₂×#13093982	C₂²	1	2	yes	—
115	C₂×#13093982	C₂²	1	2	yes	complemented
116	C₂×#13093981	C₂²	1	1	yes	characteristic
117	C₂×#13093981	C₂²	1	1	yes	characteristic
118	C₂×#13093981	C₂²	1	2	yes	—
119	C₂×#13093981	C₂²	1	2	yes	—
120	C₂×#13093981	C₂²	1	2	yes	complemented
121	C₂×#13093981	C₂²	1	2	yes	complemented
122	C₂×#13093980	C₂²	1	1	yes	characteristic
123	C₂×#13093980	C₂²	1	1	yes	characteristic
124	#117×D₄₇	C₂²	1	16	yes	complemented
125	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
126	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
127	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
128	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	—
129	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
131	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
132	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
133	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
134	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
135	C₄₇×#541	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₄₇	C₂²	1	2	yes	—
138	C₂×#126×C₄₇	C₂²	1	2	yes	—
139	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic, complemented
140	C₂×#125×C₄₇	C₂²	1	2	yes	complemented
141	C₂×#125×C₄₇	C₂²	1	2	yes	complemented
142	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
143	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
147	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
148	C₂×#10625354	—	2	8	no	—
149	C₂×#10625354	C₂³	1	8	yes	—
150	C₂²×Dic₉₄	C₂³	1	2	yes	—
151	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
152	C₂²×Dic₉₄	C₂³	1	2	yes	—
153	C₂²×Dic₉₄	C₂³	1	2	yes	—
154	C₂×Q₈×D₄₇	—	2	8	no	—
155	C₂×Q₈×D₄₇	C₂³	1	8	yes	—
156	C₂²×D₁₈₈	C₂³	1	2	yes	—
157	C₂²×D₁₈₈	C₂³	1	2	yes	—
158	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
159	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
160	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
161	C₂²×C₄×D₄₇	—	2	8	no	—
162	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
166	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
169	C₂²×C₄×D₄₇	C₂³	1	8	yes	—
170	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
173	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
174	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
175	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
176	#13094024	C₂³	1	8	yes	complemented
177	#13094023	C₂³	1	8	yes	complemented
178	#13094023	C₂³	1	16	yes	complemented
179	#13094022	C₂³	1	8	yes	complemented
180	#13094019	C₂³	1	16	yes	complemented
181	#13094019	C₂³	1	16	yes	complemented
182	#13094019	C₂³	1	16	yes	complemented
183	#13094019	C₂³	1	16	yes	complemented
184	#13094017	C₂³	1	16	yes	—
185	#13094017	C₂³	1	16	yes	—
186	#13094015	C₂³	1	8	yes	complemented
187	#13094015	C₂³	1	16	yes	complemented
188	#13094015	C₂³	1	16	yes	complemented
189	#13094014	C₂³	1	16	yes	complemented
190	#13094014	C₂³	1	16	yes	complemented
191	#13094014	C₂³	1	16	yes	complemented
192	#13094013	C₂³	1	8	yes	complemented
193	#13094012	C₂³	1	8	yes	complemented
194	#13094010	C₂³	1	16	yes	—
195	#13094010	C₂³	1	16	yes	—
196	#13094009	C₂³	1	16	yes	—
197	#13094009	C₂³	1	16	yes	—
198	#13094009	C₂³	1	16	yes	—
199	#13094009	C₂³	1	16	yes	—
200	#13094009	C₂³	1	16	yes	—
201	#13094006	C₂³	1	16	yes	—
202	#13094006	C₂³	1	16	yes	—
203	#13094004	C₂³	1	16	yes	—
204	#13094004	C₂³	1	16	yes	—
205	#13094004	C₂³	1	8	yes	—
206	#13094004	C₂³	1	16	yes	complemented
207	#13094003	C₂³	1	8	yes	—
208	#13094002	C₂³	1	16	yes	—
209	#13094002	C₂³	1	16	yes	—
210	#13094002	C₂³	1	16	yes	—
211	#13094002	C₂³	1	16	yes	complemented
212	#13094002	C₂³	1	16	yes	complemented
213	#13094002	C₂³	1	16	yes	complemented
214	#13094001	C₂³	1	16	yes	—
215	#13094000	C₂³	1	8	yes	—
216	#13094000	C₂³	1	8	yes	—
217	#13093999	C₂³	1	8	yes	—
218	#13093998	C₂³	1	8	yes	—
219	#13093994	C₂³	1	16	yes	—
220	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
221	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
222	C₄×Dic₉₄	C₂³	1	8	yes	complemented
223	C₄×Dic₉₄	C₂³	1	16	yes	complemented
224	C₄×Dic₉₄	C₂³	1	16	yes	complemented
225	#13093989	C₂³	1	8	yes	complemented
226	#13093989	C₂³	1	16	yes	complemented
227	#13093989	C₂³	1	16	yes	complemented
228	C₄×D₁₈₈	C₂³	1	16	yes	—
229	C₄×D₁₈₈	C₂³	1	16	yes	—
230	C₄×D₁₈₈	C₂³	1	8	yes	complemented
231	#13093986	C₂³	1	16	yes	—
232	#13093986	C₂³	1	16	yes	—
233	#13093986	C₂³	1	16	yes	—
234	#13093986	C₂³	1	8	yes	complemented
235	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
236	#13093983	C₂³	1	8	yes	—
237	#13093982	C₂³	1	8	yes	—
238	#13093982	C₂³	1	16	yes	—
239	#13093982	C₂³	1	16	yes	—
240	#13093982	C₂³	1	8	yes	—
241	#13093982	C₂³	1	8	yes	—
242	#13093982	C₂³	1	16	yes	complemented
243	#13093981	C₂³	1	8	yes	—
244	#13093981	C₂³	1	16	yes	—
245	#13093981	C₂³	1	16	yes	—
246	#13093981	C₂³	1	8	yes	—
247	#13093981	C₂³	1	16	yes	complemented
248	#13093981	C₂³	1	16	yes	complemented
249	#13093980	C₂³	1	8	yes	—
250	#13093980	C₂³	1	8	yes	—
251	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
254	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
256	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
258	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
260	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
262	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
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	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
274	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
275	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
276	C₄⋊C₄×D₄₇	C₂³	1	16	yes	—
277	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
278	C₄⋊C₄×D₄₇	C₂³	1	16	yes	complemented
279	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
282	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
288	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
289	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
298	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
299	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
300	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	—
301	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
308	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
309	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
310	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
311	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
312	C₄²×D₄₇	C₂³	1	8	yes	—
313	C₄²×D₄₇	C₂³	1	8	yes	—
314	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
317	C₄⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
318	#126×C₄₇	C₂³	1	16	yes	—
319	#126×C₄₇	C₂³	1	16	yes	—
320	#125×C₄₇	C₂³	1	8	yes	complemented
321	#125×C₄₇	C₂³	1	16	yes	complemented
322	#125×C₄₇	C₂³	1	16	yes	complemented
323	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
324	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
325	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
326	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
327	#117×C₄₇	C₂³	1	8	yes	—
328	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
344	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
347	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
348	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
349	C₂³×D₄₇	—	2	4	no	—
350	C₂³×D₄₇	—	2	4	no	—
351	C₂³×D₄₇	—	4	2	no	—
352	C₂³×D₄₇	C₂⁴	1	2	yes	—
353	C₂³×D₄₇	C₂⁴	1	4	yes	—
354	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
355	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
356	C₂×Q₈×C₄₇	—	2	4	no	—
357	C₂×Q₈×C₄₇	—	2	4	no	—
358	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
359	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
360	C₂²×C₄×C₄₇	—	2	4	no	—
361	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
368	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
371	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂×C₂²⋊D₄₇	—	4	4	no	—
373	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
374	C₂²×Dic₄₇	—	2	4	no	—
375	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
379	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
381	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
383	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
384	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
385	#10625354	—	2	32	no	—
386	Q₈×D₄₇	—	2	32	no	—
387	C₂×D₁₈₈	—	2	8	no	—
388	C₂×D₁₈₈	—	2	8	no	—
389	C₂×D₁₈₈	—	2	4	no	—
390	C₂×D₁₈₈	C₂⁴	1	8	yes	—
391	C₂×D₁₈₈	C₂⁴	1	8	yes	—
392	C₂×D₁₈₈	C₂⁴	1	4	yes	—
393	C₂×C₄×D₄₇	—	2	4	no	—
394	C₂×C₄×D₄₇	—	2	8	no	—
395	C₂×C₄×D₄₇	—	2	4	no	—
396	C₂×C₄×D₄₇	—	2	4	no	—
397	C₂×C₄×D₄₇	—	2	4	no	—
398	C₂×C₄×D₄₇	—	2	4	no	—
399	C₂×C₄×D₄₇	—	2	8	no	—
400	C₂×C₄×D₄₇	—	2	32	no	—
401	C₂×C₄×D₄₇	—	4	2	no	—
402	C₂×C₄×D₄₇	—	4	4	no	—
403	C₂×C₄×D₄₇	—	4	4	no	—
404	C₂×C₄×D₄₇	—	4	2	no	—
405	C₂×C₄×D₄₇	—	4	4	no	—
406	C₂×C₄×D₄₇	#41	1	8	yes	—
407	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
408	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
409	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
410	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
411	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
412	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
413	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
414	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
415	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
416	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
417	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
418	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
419	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
420	C₂×Dic₉₄	—	2	4	no	—
421	C₂×Dic₉₄	—	2	8	no	—
422	C₂×Dic₉₄	—	4	4	no	—
423	C₂×Dic₉₄	—	4	4	no	—
424	C₂×Dic₉₄	C₂⁴	1	8	yes	—
425	C₂×Dic₉₄	C₂⁴	1	4	yes	—
426	C₂×Dic₉₄	C₂⁴	1	8	yes	—
427	C₂×Dic₉₄	C₂⁴	1	8	yes	—
428	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
429	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
430	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
431	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
432	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
433	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
434	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
435	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
436	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
437	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
438	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
439	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
440	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
441	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
442	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
443	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
444	C₄²×C₄₇	C₂⁴	1	4	yes	—
445	C₄²×C₄₇	C₂⁴	1	4	yes	—
446	C₄²×C₄₇	C₂⁴	1	8	yes	—
447	C₄²×C₄₇	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
449	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
450	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
451	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
452	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
453	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
454	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
455	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
456	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
463	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
464	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
467	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
468	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
469	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
470	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
471	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
472	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
473	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
474	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
475	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
476	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
477	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
478	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
479	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
480	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
481	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
482	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
483	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
484	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
485	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
486	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
487	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
488	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
489	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
490	C₄×Dic₄₇	C₂⁴	1	4	yes	—
491	C₄×Dic₄₇	C₂⁴	1	4	yes	—
492	C₄×Dic₄₇	C₂⁴	1	4	yes	—
493	C₄×Dic₄₇	C₂⁴	1	4	yes	—
494	C₄×Dic₄₇	C₂⁴	1	4	yes	—
495	C₄×Dic₄₇	C₂⁴	1	4	yes	—
496	C₄×Dic₄₇	C₂⁴	1	8	yes	—
497	C₄×Dic₄₇	C₂⁴	1	8	yes	—
498	C₄×Dic₄₇	C₂⁴	1	8	yes	—
499	C₄×Dic₄₇	C₂⁴	1	8	yes	—
500	C₄×Dic₄₇	C₂⁴	1	8	yes	—
501	C₂³×C₄₇	—	2	2	no	—
502	C₂³×C₄₇	—	2	2	no	—
503	C₂³×C₄₇	—	2	2	no	—
504	C₂³×C₄₇	C₂⁵	1	2	yes	—
505	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
506	C₂²×D₄₇	—	2	2	no	—
507	C₂²×D₄₇	—	2	2	no	—
508	C₂²×D₄₇	—	2	2	no	—
509	C₂²×D₄₇	—	2	2	no	—
510	C₂²×D₄₇	—	2	4	no	—
511	C₂²×D₄₇	—	2	4	no	—
512	C₂²×D₄₇	—	2	4	no	—
513	C₂²×D₄₇	—	2	8	no	—
514	C₂²×D₄₇	—	2	8	no	—
515	C₂²×D₄₇	—	4	4	no	—
516	C₂²×D₄₇	—	4	16	no	—
517	C₂²×D₄₇	C₂×#41	1	4	yes	—
518	C₂²×D₄₇	2₋¹⁺⁴	1	4	yes	—
519	C₂²×D₄₇	C₂⁵	1	4	yes	—
520	C₂²×D₄₇	C₂⁵	1	2	yes	—
521	C₂²×D₄₇	C₂⁵	1	2	yes	—
522	Q₈×C₄₇	—	2	8	no	—
523	Q₈×C₄₇	—	2	8	no	—
524	C₂×C₄×C₄₇	—	2	4	no	—
525	C₂×C₄×C₄₇	—	2	2	no	—
526	C₂×C₄×C₄₇	—	2	4	no	—
527	C₂×C₄×C₄₇	—	2	2	no	—
528	C₂×C₄×C₄₇	—	2	2	no	—
529	C₂×C₄×C₄₇	—	2	4	no	—
530	C₂×C₄×C₄₇	—	2	2	no	—
531	C₂×C₄×C₄₇	—	2	4	no	—
532	C₂×C₄×C₄₇	—	2	2	no	—
533	C₂×C₄×C₄₇	—	2	8	no	—
534	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
535	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
536	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
537	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
538	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
539	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
540	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
541	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
542	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
543	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
544	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
545	C₂²⋊D₄₇	—	4	8	no	—
546	C₂×Dic₄₇	—	2	4	no	—
547	C₂×Dic₄₇	—	2	2	no	—
548	C₂×Dic₄₇	—	2	2	no	—
549	C₂×Dic₄₇	—	2	2	no	—
550	C₂×Dic₄₇	—	2	2	no	—
551	C₂×Dic₄₇	—	2	4	no	—
552	C₂×Dic₄₇	—	2	4	no	—
553	C₂×Dic₄₇	—	2	2	no	—
554	C₂×Dic₄₇	—	2	8	no	—
555	C₂×Dic₄₇	C₂×#41	1	4	yes	—
556	C₂×Dic₄₇	C₂⁵	1	2	yes	—
557	C₂×Dic₄₇	C₂⁵	1	2	yes	—
558	C₂×Dic₄₇	C₂⁵	1	2	yes	—
559	C₂×Dic₄₇	C₂⁵	1	4	yes	—
560	C₂×Dic₄₇	C₂⁵	1	2	yes	—
561	C₂×Dic₄₇	C₂⁵	1	4	yes	—
562	C₂×Dic₄₇	C₂⁵	1	2	yes	—
563	C₂×Dic₄₇	C₂⁵	1	4	yes	—
564	C₂×Dic₄₇	C₂⁵	1	2	yes	—
565	D₁₈₈	—	2	16	no	—
566	D₁₈₈	—	2	16	no	—
567	D₁₈₈	—	2	8	no	—
568	C₄×D₄₇	—	2	8	no	—
569	C₄×D₄₇	—	2	16	no	—
570	C₄×D₄₇	—	2	8	no	—
571	C₄×D₄₇	—	2	8	no	—
572	C₄×D₄₇	—	2	8	no	—
573	C₄×D₄₇	—	2	8	no	—
574	C₄×D₄₇	—	2	16	no	—
575	C₄×D₄₇	—	4	4	no	—
576	C₄×D₄₇	—	4	8	no	—
577	C₄×D₄₇	—	4	8	no	—
578	C₄×D₄₇	—	4	4	no	—
579	C₄×D₄₇	—	4	8	no	—
580	C₄×D₄₇	C₂×#41	1	16	yes	—
581	Dic₉₄	—	2	8	no	—
582	Dic₉₄	—	2	16	no	—
583	Dic₉₄	—	4	8	no	—
584	Dic₉₄	—	4	8	no	—
585	C₂×#3495	—	47	1	no	maximal, Sylow
586	C₂²×C₄₇	—	2	2	no	—
587	C₂²×C₄₇	—	2	2	no	—
588	C₂²×C₄₇	—	2	2	no	—
589	C₂²×C₄₇	—	4	4	no	—
590	C₂²×C₄₇	C₂²×#41	1	2	yes	—
591	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
592	C₂²×C₄₇	#585	1	2	yes	—
593	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
594	C₂×D₄₇	—	2	2	no	—
595	C₂×D₄₇	—	2	2	no	—
596	C₂×D₄₇	—	2	2	no	—
597	C₂×D₄₇	—	2	2	no	—
598	C₂×D₄₇	—	2	8	no	—
599	C₂×D₄₇	—	2	8	no	—
600	C₂×D₄₇	—	2	4	no	—
601	C₂×D₄₇	—	2	4	no	—
602	C₂×D₄₇	—	2	4	no	—
603	C₂×D₄₇	—	4	16	no	—
604	C₂×D₄₇	—	4	8	no	—
605	C₂×D₄₇	C₂²×#41	1	4	yes	—
606	C₂×D₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
607	C₄×C₄₇	—	2	4	no	—
608	C₄×C₄₇	—	2	2	no	—
609	C₄×C₄₇	—	2	4	no	—
610	C₄×C₄₇	—	2	2	no	—
611	C₄×C₄₇	—	2	2	no	—
612	C₄×C₄₇	—	2	4	no	—
613	C₄×C₄₇	—	2	2	no	—
614	C₄×C₄₇	—	2	4	no	—
615	C₄×C₄₇	—	2	2	no	—
616	C₄×C₄₇	C₂²×#41	1	4	yes	—
617	Dic₄₇	—	2	4	no	—
618	Dic₄₇	—	2	2	no	—
619	Dic₄₇	—	2	2	no	—
620	Dic₄₇	—	2	2	no	—
621	Dic₄₇	—	2	2	no	—
622	Dic₄₇	—	2	4	no	—
623	Dic₄₇	—	2	4	no	—
624	Dic₄₇	—	2	2	no	—
625	Dic₄₇	C₂²×#41	1	4	yes	—
626	#3495	—	47	32	no	—
627	C₂×#556	—	47	2	no	—
628	C₂×#554	—	47	2	no	—
629	C₂×#552	—	47	2	no	—
630	C₂×#552	—	47	2	no	—
631	C₂×#552	—	47	2	no	—
632	C₂×#552	—	47	2	no	—
633	C₂×#551	—	47	2	no	—
634	C₂×#551	—	47	2	no	—
635	C₂×#544	—	47	1	no	—
636	C₂×#542	—	47	1	no	—
637	C₂×#542	—	47	1	no	—
638	C₂×#541	—	47	1	no	—
639	C₂×#541	D₄₇	1	1	yes	characteristic, complemented
640	C₂×#536	—	47	1	no	—
641	C₂×#533	—	47	1	no	—
642	C₂×#533	—	47	1	no	—
643	C₂×#529	—	47	1	no	—
644	C₂×#529	—	47	1	no	—
645	C₂×#525	—	47	1	no	—
646	C₂²×C₂²⋊Q₈	—	47	1	no	—
647	C₂×#520	—	47	1	no	—
648	C₂×#519	—	47	1	no	—
649	C₂²×#117	—	47	1	no	—
650	C₂×C₄₇	—	4	2	no	—
651	C₂×C₄₇	#3495	1	4	yes	complemented
652	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
653	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
654	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
655	D₄₇	—	2	4	no	—
656	D₄₇	—	2	4	no	—
657	D₄₇	—	4	4	no	—
658	C₂²×#41	—	47	1	no	—
659	C₂³×Q₈	—	47	1	no	—
660	C₂⁴×C₄	—	47	1	no	—
661	#556	—	47	32	no	—
662	#554	—	47	32	no	—
663	#552	—	47	32	no	—
664	#552	—	47	32	no	—
665	#552	—	47	32	no	—
666	#552	—	47	32	no	—
667	#551	—	47	32	no	—
668	#551	—	47	32	no	—
669	#544	—	47	16	no	—
670	#542	—	47	16	no	—
671	#542	—	47	16	no	—
672	#541	—	47	16	no	—
673	#541	C₂×D₄₇	1	16	yes	complemented
674	#536	—	47	16	no	—
675	#533	—	47	16	no	—
676	#533	—	47	16	no	—
677	C₂×C₄⋊Q₈	—	47	1	no	—
678	C₂×C₄⋊Q₈	—	47	1	no	—
679	C₂×C₄⋊Q₈	—	47	2	no	—
680	C₂×C₄⋊Q₈	—	47	1	no	—
681	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
682	#529	—	47	16	no	—
683	#529	—	47	16	no	—
684	C₂×#126	—	47	2	no	—
685	C₂×#126	—	47	2	no	—
686	C₂×#126	—	47	2	no	—
687	C₂×#126	—	47	2	no	—
688	C₂×#126	—	47	2	no	—
689	C₂×#126	—	47	2	no	—
690	C₂×#126	C₂×D₄₇	1	2	yes	—
691	C₂×#126	C₂×D₄₇	1	2	yes	—
692	C₂×#125	—	47	1	no	—
693	C₂×#125	—	47	2	no	—
694	C₂×#125	—	47	2	no	—
695	C₂×#125	—	47	2	no	—
696	C₂×#125	—	47	2	no	—
697	C₂×#125	—	47	2	no	—
698	C₂×#125	C₂×D₄₇	1	1	yes	characteristic, complemented
699	C₂×#125	C₂×D₄₇	1	2	yes	complemented
700	C₂×#125	C₂×D₄₇	1	2	yes	complemented
701	C₂×#124	—	47	1	no	—
702	C₂×#124	—	47	2	no	—
703	C₂×#124	—	47	2	no	—
704	C₂×#124	—	47	1	no	—
705	#525	—	47	16	no	—
706	C₂×#123	—	47	2	no	—
707	C₂×#123	—	47	2	no	—
708	C₂×#123	—	47	2	no	—
709	C₂×#123	—	47	2	no	—
710	C₂×#123	—	47	2	no	—
711	C₂×#123	—	47	2	no	—
712	C₂×#123	—	47	2	no	—
713	C₂×C₂²⋊Q₈	—	47	1	no	—
714	C₂×C₂²⋊Q₈	—	47	1	no	—
715	C₂×C₂²⋊Q₈	—	47	1	no	—
716	C₂×C₂²⋊Q₈	—	47	16	no	—
717	C₂×C₂²⋊Q₈	—	47	1	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	—	47	2	no	—
724	C₂×C₂²⋊Q₈	—	47	2	no	—
725	C₂×C₂²⋊Q₈	—	47	2	no	—
726	C₂×C₂²⋊Q₈	—	47	2	no	—
727	C₂×C₂²⋊Q₈	—	47	2	no	—
728	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
729	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
730	C₂×#121	—	47	1	no	—
731	C₂×#121	—	47	1	no	—
732	C₂×#120	—	47	2	no	—
733	#520	—	47	16	no	—
734	#519	—	47	16	no	—
735	C₂×C₄×Q₈	—	47	1	no	—
736	C₂×C₄×Q₈	—	47	1	no	—
737	C₂×C₄×Q₈	—	47	1	no	—
738	C₂×C₄×Q₈	—	47	2	no	—
739	C₂×C₄×Q₈	—	47	2	no	—
740	C₂×C₄×Q₈	—	47	1	no	—
741	C₂×C₄×Q₈	—	47	2	no	—
742	C₂×C₄×Q₈	—	47	2	no	—
743	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
744	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
745	C₂×C₄×D₄	—	47	1	no	—
746	C₂×C₄×D₄	—	47	2	no	—
747	C₂×C₄×D₄	—	47	2	no	—
748	C₂×C₄×D₄	—	47	2	no	—
749	C₂×C₄×D₄	—	47	2	no	—
750	C₂×C₄×D₄	—	47	1	no	—
751	C₂×C₄×D₄	—	47	2	no	—
752	C₂×C₄×D₄	—	47	2	no	—
753	C₂×#117	—	47	1	no	—
754	C₂×#117	—	47	16	no	—
755	C₂×#117	—	47	1	no	—
756	C₂×#117	—	47	1	no	—
757	C₂×#117	—	47	1	no	—
758	C₂×#117	—	47	2	no	—
759	C₂×#117	—	47	2	no	—
760	C₂×#117	—	47	2	no	—
761	C₂×#117	—	47	1	no	—
762	C₂×#117	—	47	1	no	—
763	C₂×#117	—	47	1	no	—
764	C₂×#117	—	47	1	no	—
765	C₂×#117	—	47	2	no	—
766	C₂×#117	—	47	2	no	—
767	C₂×#117	—	47	2	no	—
768	C₂×#117	—	47	2	no	—
769	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
770	C₂²×C₄⋊C₄	—	47	1	no	—
771	C₂²×C₄⋊C₄	—	47	1	no	—
772	C₂²×C₄⋊C₄	—	47	1	no	—
773	C₂²×C₄⋊C₄	—	47	2	no	—
774	C₂²×C₄⋊C₄	—	47	2	no	—
775	C₂²×C₂²⋊C₄	—	47	1	no	—
776	C₂²×C₂²⋊C₄	—	47	1	no	—
777	C₂²×C₂²⋊C₄	—	47	2	no	—
778	C₂²×C₄²	—	47	1	no	—
779	C₂²×C₄²	—	47	1	no	—
780	C₄₇	C₂×#3495	1	1	yes	characteristic, complemented, Sylow
781	C₂⁵	—	47	1	no	—
782	C₂×#41	—	47	8	no	—
783	C₂×#41	—	94	8	no	—
784	C₂²×Q₈	—	47	8	no	—
785	C₂²×Q₈	—	47	2	no	—
786	C₂²×Q₈	—	47	1	no	—
787	C₂²×Q₈	—	47	2	no	—
788	C₂²×Q₈	—	47	2	no	—
789	C₂²×Q₈	—	94	8	no	—
790	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
791	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
792	C₂²×D₄	—	47	2	no	—
793	C₂²×D₄	—	47	2	no	—
794	C₂²×D₄	—	47	2	no	—
795	C₂²×D₄	—	47	1	no	—
796	C₂³×C₄	—	47	1	no	—
797	C₂³×C₄	—	47	1	no	—
798	C₂³×C₄	—	47	2	no	—
799	C₂³×C₄	—	47	1	no	—
800	C₂³×C₄	—	47	1	no	—
801	C₂³×C₄	—	47	1	no	—
802	C₂³×C₄	—	47	1	no	—
803	C₂³×C₄	—	47	2	no	—
804	C₂³×C₄	—	47	8	no	—
805	C₂³×C₄	—	47	1	no	—
806	C₂³×C₄	—	47	2	no	—
807	C₂³×C₄	—	47	1	no	—
808	C₂³×C₄	—	47	1	no	—
809	C₂³×C₄	—	47	2	no	—
810	C₂³×C₄	—	47	2	no	—
811	C₂³×C₄	—	94	8	no	—
812	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
813	C₄⋊Q₈	—	47	8	no	—
814	C₄⋊Q₈	—	47	8	no	—
815	C₄⋊Q₈	—	47	16	no	—
816	C₄⋊Q₈	—	47	8	no	—
817	C₄⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
818	#126	—	47	16	no	—
819	#126	—	47	16	no	—
820	#126	—	47	16	no	—
821	#126	—	47	16	no	—
822	#126	—	47	16	no	—
823	#126	—	47	16	no	—
824	#126	C₂²×D₄₇	1	16	yes	—
825	#126	C₂²×D₄₇	1	16	yes	—
826	#125	—	47	8	no	—
827	#125	—	47	16	no	—
828	#125	—	47	16	no	—
829	#125	—	47	16	no	—
830	#125	—	47	16	no	—
831	#125	—	47	16	no	—
832	#125	C₂²×D₄₇	1	8	yes	complemented
833	#125	C₂²×D₄₇	1	16	yes	complemented
834	#125	C₂²×D₄₇	1	16	yes	complemented
835	#124	—	47	8	no	—
836	#124	—	47	16	no	—
837	#124	—	47	16	no	—
838	#124	—	47	8	no	—
839	#123	—	47	16	no	—
840	#123	—	47	16	no	—
841	#123	—	47	16	no	—
842	#123	—	47	16	no	—
843	#123	—	47	16	no	—
844	#123	—	47	16	no	—
845	#123	—	47	16	no	—
846	C₂²⋊Q₈	—	47	8	no	—
847	C₂²⋊Q₈	—	47	8	no	—
848	C₂²⋊Q₈	—	47	8	no	—
849	C₂²⋊Q₈	—	47	8	no	—
850	C₂²⋊Q₈	—	47	16	no	—
851	C₂²⋊Q₈	—	47	16	no	—
852	C₂²⋊Q₈	—	47	16	no	—
853	C₂²⋊Q₈	—	47	16	no	—
854	C₂²⋊Q₈	—	47	16	no	—
855	C₂²⋊Q₈	—	47	16	no	—
856	C₂²⋊Q₈	—	47	16	no	—
857	C₂²⋊Q₈	—	47	16	no	—
858	C₂²⋊Q₈	—	47	16	no	—
859	C₂²⋊Q₈	—	47	16	no	—
860	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	—
861	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	—
862	#121	—	47	8	no	—
863	#121	—	47	8	no	—
864	#120	—	47	16	no	—
865	C₄×Q₈	—	47	8	no	—
866	C₄×Q₈	—	47	8	no	—
867	C₄×Q₈	—	47	8	no	—
868	C₄×Q₈	—	47	16	no	—
869	C₄×Q₈	—	47	16	no	—
870	C₄×Q₈	—	47	8	no	—
871	C₄×Q₈	—	47	16	no	—
872	C₄×Q₈	—	47	16	no	—
873	C₄×Q₈	C₂²×D₄₇	1	8	yes	complemented
874	C₄×Q₈	C₂²×D₄₇	1	8	yes	complemented
875	C₄×D₄	—	47	8	no	—
876	C₄×D₄	—	47	16	no	—
877	C₄×D₄	—	47	16	no	—
878	C₄×D₄	—	47	16	no	—
879	C₄×D₄	—	47	16	no	—
880	C₄×D₄	—	47	8	no	—
881	C₄×D₄	—	47	16	no	—
882	C₄×D₄	—	47	16	no	—
883	#117	—	47	8	no	—
884	#117	—	47	8	no	—
885	#117	—	47	8	no	—
886	#117	—	47	8	no	—
887	#117	—	47	16	no	—
888	#117	—	47	16	no	—
889	#117	—	47	16	no	—
890	#117	—	47	8	no	—
891	#117	—	47	8	no	—
892	#117	—	47	8	no	—
893	#117	—	47	8	no	—
894	#117	—	47	16	no	—
895	#117	—	47	16	no	—
896	#117	—	47	16	no	—
897	#117	—	47	16	no	—
898	#117	C₂²×D₄₇	1	8	yes	—
899	C₂×C₄⋊C₄	—	47	1	no	—
900	C₂×C₄⋊C₄	—	47	2	no	—
901	C₂×C₄⋊C₄	—	47	1	no	—
902	C₂×C₄⋊C₄	—	47	1	no	—
903	C₂×C₄⋊C₄	—	47	1	no	—
904	C₂×C₄⋊C₄	—	47	1	no	—
905	C₂×C₄⋊C₄	—	47	1	no	—
906	C₂×C₄⋊C₄	—	47	2	no	—
907	C₂×C₄⋊C₄	—	47	2	no	—
908	C₂×C₄⋊C₄	—	47	1	no	—
909	C₂×C₄⋊C₄	—	47	2	no	—
910	C₂×C₄⋊C₄	—	47	2	no	—
911	C₂×C₄⋊C₄	—	47	1	no	—
912	C₂×C₄⋊C₄	—	47	2	no	—
913	C₂×C₄⋊C₄	—	47	2	no	—
914	C₂×C₄⋊C₄	—	47	2	no	—
915	C₂×C₄⋊C₄	—	47	2	no	—
916	C₂×C₄⋊C₄	—	47	2	no	—
917	C₂×C₄⋊C₄	—	47	2	no	—
918	C₂×C₄⋊C₄	—	47	2	no	—
919	C₂×C₄⋊C₄	—	47	2	no	—
920	C₂×C₄⋊C₄	—	47	2	no	—
921	C₂×C₄⋊C₄	—	47	2	no	—
922	C₂×C₄⋊C₄	—	47	8	no	—
923	C₂×C₄⋊C₄	—	47	8	no	—
924	C₂×C₄⋊C₄	—	47	8	no	—
925	C₂×C₄⋊C₄	—	47	16	no	—
926	C₂×C₄⋊C₄	—	47	16	no	—
927	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
931	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
932	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
934	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
935	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
936	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
937	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
938	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
939	C₂×C₂²⋊C₄	—	47	1	no	—
940	C₂×C₂²⋊C₄	—	47	1	no	—
941	C₂×C₂²⋊C₄	—	47	2	no	—
942	C₂×C₂²⋊C₄	—	47	1	no	—
943	C₂×C₂²⋊C₄	—	47	1	no	—
944	C₂×C₂²⋊C₄	—	47	1	no	—
945	C₂×C₂²⋊C₄	—	47	1	no	—
946	C₂×C₂²⋊C₄	—	47	2	no	—
947	C₂×C₂²⋊C₄	—	47	2	no	—
948	C₂×C₂²⋊C₄	—	47	2	no	—
949	C₂×C₂²⋊C₄	—	47	2	no	—
950	C₂×C₂²⋊C₄	—	47	2	no	—
951	C₂×C₂²⋊C₄	—	47	2	no	—
952	C₂×C₂²⋊C₄	—	47	2	no	—
953	C₂×C₂²⋊C₄	—	47	2	no	—
954	C₂×C₂²⋊C₄	—	47	2	no	—
955	C₂×C₂²⋊C₄	—	47	2	no	—
956	C₂×C₂²⋊C₄	—	47	2	no	—
957	C₂×C₂²⋊C₄	—	47	2	no	—
958	C₂×C₂²⋊C₄	—	47	8	no	—
959	C₂×C₂²⋊C₄	—	47	8	no	—
960	C₂×C₂²⋊C₄	—	47	16	no	—
961	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
965	C₂×C₄²	—	47	1	no	—
966	C₂×C₄²	—	47	1	no	—
967	C₂×C₄²	—	47	1	no	—
968	C₂×C₄²	—	47	2	no	—
969	C₂×C₄²	—	47	2	no	—
970	C₂×C₄²	—	47	2	no	—
971	C₂×C₄²	—	47	2	no	—
972	C₂×C₄²	—	47	1	no	—
973	C₂×C₄²	—	47	1	no	—
974	C₂×C₄²	—	47	1	no	—
975	C₂×C₄²	—	47	2	no	—
976	C₂×C₄²	—	47	8	no	—
977	C₂×C₄²	—	47	8	no	—
978	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
979	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
980	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
981	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
982	C₂⁴	—	47	1	no	—
983	C₂⁴	—	47	1	no	—
984	C₂⁴	—	47	2	no	—
985	C₂⁴	—	47	4	no	—
986	C₂⁴	—	94	4	no	—
987	C₂⁴	—	94	4	no	—
988	C₂⁴	—	188	2	no	—
989	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
990	#41	—	94	32	no	—
991	C₂×Q₈	—	2	4	no	—
992	C₂×Q₈	—	2	4	no	—
993	C₂×Q₈	—	47	8	no	—
994	C₂×Q₈	—	47	4	no	—
995	C₂×Q₈	—	47	8	no	—
996	C₂×Q₈	—	47	8	no	—
997	C₂×Q₈	—	94	8	no	—
998	C₂×Q₈	—	94	32	no	—
999	C₂×Q₈	—	94	4	no	—
1000	C₂×Q₈	—	188	4	no	—
1001	C₂×Q₈	—	188	4	no	—
1002	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1003	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1004	C₂×D₄	—	47	8	no	—
1005	C₂×D₄	—	47	8	no	—
1006	C₂×D₄	—	47	8	no	—
1007	C₂×D₄	—	47	4	no	—
1008	C₂×D₄	—	94	8	no	—
1009	C₂×D₄	—	94	8	no	—
1010	C₂×D₄	—	94	4	no	—
1011	C₂×D₄	—	188	4	no	—
1012	C₂²×C₄	—	2	4	no	—
1013	C₂²×C₄	—	47	1	no	—
1014	C₂²×C₄	—	47	8	no	—
1015	C₂²×C₄	—	47	4	no	—
1016	C₂²×C₄	—	47	4	no	—
1017	C₂²×C₄	—	47	1	no	—
1018	C₂²×C₄	—	47	1	no	—
1019	C₂²×C₄	—	47	1	no	—
1020	C₂²×C₄	—	47	2	no	—
1021	C₂²×C₄	—	47	1	no	—
1022	C₂²×C₄	—	47	2	no	—
1023	C₂²×C₄	—	47	1	no	—
1024	C₂²×C₄	—	47	2	no	—
1025	C₂²×C₄	—	47	4	no	—
1026	C₂²×C₄	—	47	4	no	—
1027	C₂²×C₄	—	47	4	no	—
1028	C₂²×C₄	—	47	8	no	—
1029	C₂²×C₄	—	47	4	no	—
1030	C₂²×C₄	—	47	4	no	—
1031	C₂²×C₄	—	47	8	no	—
1032	C₂²×C₄	—	47	4	no	—
1033	C₂²×C₄	—	47	4	no	—
1034	C₂²×C₄	—	47	8	no	—
1035	C₂²×C₄	—	47	8	no	—
1036	C₂²×C₄	—	47	8	no	—
1037	C₂²×C₄	—	94	4	no	—
1038	C₂²×C₄	—	94	32	no	—
1039	C₂²×C₄	—	94	8	no	—
1040	C₂²×C₄	—	94	4	no	—
1041	C₂²×C₄	—	94	4	no	—
1042	C₂²×C₄	—	94	4	no	—
1043	C₂²×C₄	—	94	8	no	—
1044	C₂²×C₄	—	94	4	no	—
1045	C₂²×C₄	—	94	4	no	—
1046	C₂²×C₄	—	188	4	no	—
1047	C₂²×C₄	—	188	2	no	—
1048	C₂²×C₄	—	188	4	no	—
1049	C₂²×C₄	—	188	4	no	—
1050	C₂²×C₄	—	188	2	no	—
1051	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1052	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1054	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1057	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1059	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1060	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1062	C₄⋊C₄	—	47	4	no	—
1063	C₄⋊C₄	—	47	8	no	—
1064	C₄⋊C₄	—	47	4	no	—
1065	C₄⋊C₄	—	47	4	no	—
1066	C₄⋊C₄	—	47	4	no	—
1067	C₄⋊C₄	—	47	8	no	—
1068	C₄⋊C₄	—	47	8	no	—
1069	C₄⋊C₄	—	47	8	no	—
1070	C₄⋊C₄	—	47	8	no	—
1071	C₄⋊C₄	—	47	8	no	—
1072	C₄⋊C₄	—	47	8	no	—
1073	C₄⋊C₄	—	47	8	no	—
1074	C₄⋊C₄	—	47	8	no	—
1075	C₄⋊C₄	—	47	8	no	—
1076	C₄⋊C₄	—	47	4	no	—
1077	C₄⋊C₄	—	47	4	no	—
1078	C₄⋊C₄	—	47	8	no	—
1079	C₄⋊C₄	—	47	4	no	—
1080	C₄⋊C₄	—	47	8	no	—
1081	C₄⋊C₄	—	47	4	no	—
1082	C₄⋊C₄	—	47	8	no	—
1083	C₄⋊C₄	—	47	8	no	—
1084	C₄⋊C₄	—	47	8	no	—
1085	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1086	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1087	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1088	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1089	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1090	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1091	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1092	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1093	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1094	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1095	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1096	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1097	C₂²⋊C₄	—	47	4	no	—
1098	C₂²⋊C₄	—	47	4	no	—
1099	C₂²⋊C₄	—	47	8	no	—
1100	C₂²⋊C₄	—	47	4	no	—
1101	C₂²⋊C₄	—	47	4	no	—
1102	C₂²⋊C₄	—	47	4	no	—
1103	C₂²⋊C₄	—	47	4	no	—
1104	C₂²⋊C₄	—	47	8	no	—
1105	C₂²⋊C₄	—	47	8	no	—
1106	C₂²⋊C₄	—	47	8	no	—
1107	C₂²⋊C₄	—	47	8	no	—
1108	C₂²⋊C₄	—	47	8	no	—
1109	C₂²⋊C₄	—	47	8	no	—
1110	C₂²⋊C₄	—	47	8	no	—
1111	C₂²⋊C₄	—	47	8	no	—
1112	C₂²⋊C₄	—	47	8	no	—
1113	C₂²⋊C₄	—	47	8	no	—
1114	C₂²⋊C₄	—	47	8	no	—
1115	C₂²⋊C₄	—	47	8	no	—
1116	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1117	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1118	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1119	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1120	C₄²	—	47	4	no	—
1121	C₄²	—	47	4	no	—
1122	C₄²	—	47	4	no	—
1123	C₄²	—	47	4	no	—
1124	C₄²	—	47	4	no	—
1125	C₄²	—	47	4	no	—
1126	C₄²	—	47	8	no	—
1127	C₄²	—	47	8	no	—
1128	C₄²	—	47	8	no	—
1129	C₄²	—	47	8	no	—
1130	C₄²	—	47	8	no	—
1131	C₄²	C₂³×D₄₇	1	4	yes	—
1132	C₄²	C₂³×D₄₇	1	4	yes	—
1133	C₄²	C₂³×D₄₇	1	8	yes	—
1134	C₄²	C₂³×D₄₇	1	8	yes	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	2	2	no	—
1138	C₂³	—	47	4	no	—
1139	C₂³	—	47	4	no	—
1140	C₂³	—	47	2	no	—
1141	C₂³	—	47	2	no	—
1142	C₂³	—	47	4	no	—
1143	C₂³	—	94	8	no	—
1144	C₂³	—	94	8	no	—
1145	C₂³	—	94	2	no	—
1146	C₂³	—	94	2	no	—
1147	C₂³	—	94	2	no	—
1148	C₂³	—	94	2	no	—
1149	C₂³	—	94	4	no	—
1150	C₂³	—	94	4	no	—
1151	C₂³	—	94	4	no	—
1152	C₂³	—	188	4	no	—
1153	C₂³	—	188	16	no	—
1154	C₂³	C₂⁴×D₄₇	1	2	yes	—
1155	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1156	Q₈	—	2	8	no	—
1157	Q₈	—	2	8	no	—
1158	Q₈	—	94	16	no	—
1159	Q₈	—	94	8	no	—
1160	Q₈	—	188	8	no	—
1161	Q₈	—	188	8	no	—
1162	D₄	—	94	16	no	—
1163	D₄	—	94	16	no	—
1164	D₄	—	94	8	no	—
1165	D₄	—	188	8	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	4	no	—
1168	C₂×C₄	—	2	4	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	4	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	8	no	—
1176	C₂×C₄	—	47	4	no	—
1177	C₂×C₄	—	47	2	no	—
1178	C₂×C₄	—	47	16	no	—
1179	C₂×C₄	—	47	2	no	—
1180	C₂×C₄	—	47	2	no	—
1181	C₂×C₄	—	47	2	no	—
1182	C₂×C₄	—	47	4	no	—
1183	C₂×C₄	—	47	2	no	—
1184	C₂×C₄	—	47	4	no	—
1185	C₂×C₄	—	47	2	no	—
1186	C₂×C₄	—	47	4	no	—
1187	C₂×C₄	—	94	8	no	—
1188	C₂×C₄	—	94	16	no	—
1189	C₂×C₄	—	94	8	no	—
1190	C₂×C₄	—	94	8	no	—
1191	C₂×C₄	—	94	8	no	—
1192	C₂×C₄	—	94	16	no	—
1193	C₂×C₄	—	94	8	no	—
1194	C₂×C₄	—	94	2	no	—
1195	C₂×C₄	—	94	4	no	—
1196	C₂×C₄	—	94	2	no	—
1197	C₂×C₄	—	94	2	no	—
1198	C₂×C₄	—	94	2	no	—
1199	C₂×C₄	—	94	4	no	—
1200	C₂×C₄	—	94	2	no	—
1201	C₂×C₄	—	94	4	no	—
1202	C₂×C₄	—	94	8	no	—
1203	C₂×C₄	—	188	8	no	—
1204	C₂×C₄	—	188	4	no	—
1205	C₂×C₄	—	188	8	no	—
1206	C₂×C₄	—	188	8	no	—
1207	C₂×C₄	—	188	4	no	—
1208	C₂×C₄	#41×D₄₇	1	4	yes	—
1209	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1210	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1211	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1212	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1213	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1214	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1215	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1216	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1217	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1218	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1219	C₂²	—	2	2	no	—
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	4	4	no	—
1223	C₂²	—	47	4	no	—
1224	C₂²	—	47	4	no	—
1225	C₂²	—	94	8	no	—
1226	C₂²	—	94	8	no	—
1227	C₂²	—	94	2	no	—
1228	C₂²	—	94	2	no	—
1229	C₂²	—	94	2	no	—
1230	C₂²	—	94	2	no	—
1231	C₂²	—	94	4	no	—
1232	C₂²	—	94	4	no	—
1233	C₂²	—	94	4	no	—
1234	C₂²	—	188	16	no	—
1235	C₂²	—	188	8	no	—
1236	C₂²	C₂×#41×D₄₇	1	2	yes	—
1237	C₂²	2₋¹⁺⁴×D₄₇	1	2	yes	—
1238	C₂²	#15689960	1	2	yes	—
1239	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1240	C₄	—	2	2	no	—
1241	C₄	—	2	4	no	—
1242	C₄	—	2	4	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	4	no	—
1246	C₄	—	2	2	no	—
1247	C₄	—	2	4	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	47	4	no	—
1250	C₄	—	94	2	no	—
1251	C₄	—	94	4	no	—
1252	C₄	—	94	2	no	—
1253	C₄	—	94	2	no	—
1254	C₄	—	94	2	no	—
1255	C₄	—	94	4	no	—
1256	C₄	—	94	2	no	—
1257	C₄	—	94	4	no	—
1258	C₄	C₂×#41×D₄₇	1	4	yes	—
1259	C₂	—	4	2	no	—
1260	C₂	—	94	4	no	—
1261	C₂	—	94	4	no	—
1262	C₂	—	188	4	no	—
1263	C₂	#20257132	1	4	yes	direct product factor
1264	C₂	C₂²×#41×D₄₇	1	1	yes	characteristic
1265	C₂	C₂×2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1266	C₂	C₂×#15689960	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#541	C₂
socle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#15689636	C₂
hypercenter	C₂×#541	D₄₇
hypocenter	C₄₇	C₂×#3495
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#541

Complements

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

N	H ≅ G/N	type
1. #20257132	C₂	direct (N × H)
2. C₂×#15689840	C₂	semidirect
3. C₂×#15689829	C₂	semidirect
4. C₂×#15689811	C₂	semidirect
5. C₂×#15689809	C₂	semidirect
6. C₂×#15689805	C₂	semidirect
7. C₂×#15689805	C₂	semidirect
8. C₂×#15689798	C₂	semidirect
9. C₂×#15689798	C₂	semidirect
10. C₂×#15689753	C₂	semidirect
11. C₂×#15689746	C₂	semidirect
12. C₂×#15689744	C₂	semidirect
13. C₂×#15689733	C₂	semidirect
14. C₂×#15689698	C₂	semidirect
15. C₂×#15689678	C₂	semidirect
16. C₂×#15689677	C₂	semidirect
17. C₂×#15689660	C₂	semidirect
18. C₂×#15689658	C₂	semidirect
20. C₂×C₂²⋊Q₈×D₄₇	C₂	semidirect
21. C₂×#15689605	C₂	semidirect
22. C₂×#15689599	C₂	semidirect
23. C₂×#117×D₄₇	C₂	semidirect
24. C₂×C₄₇×#541	C₂	semidirect
28. #15689840	C₂²	semidirect
29. #15689829	C₂²	semidirect
30. #15689811	C₂²	semidirect
31. #15689809	C₂²	semidirect
32. #15689805	C₂²	semidirect
33. #15689805	C₂²	semidirect
34. #15689798	C₂²	semidirect
35. #15689798	C₂²	semidirect
36. #15689753	C₂²	semidirect
37. #15689746	C₂²	semidirect
38. #15689744	C₂²	semidirect
39. #15689733	C₂²	semidirect
40. #15689698	C₂²	semidirect
41. #15689678	C₂²	semidirect
42. #15689677	C₂²	semidirect
43. C₂×#13094024	C₂²	semidirect
44. C₂×#13094023	C₂²	semidirect
45. C₂×#13094023	C₂²	semidirect
46. C₂×#13094022	C₂²	semidirect
47. #15689660	C₂²	semidirect
48. #15689658	C₂²	semidirect
49. C₂×#13094019	C₂²	semidirect
50. C₂×#13094019	C₂²	semidirect
51. C₂×#13094019	C₂²	semidirect
52. C₂×#13094019	C₂²	semidirect
55. C₂×#13094015	C₂²	semidirect
56. C₂×#13094015	C₂²	semidirect
57. C₂×#13094015	C₂²	semidirect
58. C₂×#13094014	C₂²	semidirect
59. C₂×#13094014	C₂²	semidirect
60. C₂×#13094014	C₂²	semidirect
61. C₂×#13094013	C₂²	semidirect
62. C₂×#13094012	C₂²	semidirect
76. C₂×#13094004	C₂²	semidirect
81. C₂×#13094002	C₂²	semidirect
82. C₂×#13094002	C₂²	semidirect
83. C₂×#13094002	C₂²	semidirect
87. C₂²⋊Q₈×D₄₇	C₂²	semidirect
91. #15689605	C₂²	semidirect
92. #15689599	C₂²	semidirect
93. C₂×Q₈×Dic₄₇	C₂²	semidirect
94. C₂×Q₈×Dic₄₇	C₂²	semidirect
95. C₂×C₄×Dic₉₄	C₂²	semidirect
96. C₂×C₄×Dic₉₄	C₂²	semidirect
97. C₂×C₄×Dic₉₄	C₂²	semidirect
98. C₂×#13093989	C₂²	semidirect
99. C₂×#13093989	C₂²	semidirect
100. C₂×#13093989	C₂²	semidirect
103. C₂×C₄×D₁₈₈	C₂²	semidirect
107. C₂×#13093986	C₂²	semidirect
115. C₂×#13093982	C₂²	semidirect
120. C₂×#13093981	C₂²	semidirect
121. C₂×#13093981	C₂²	semidirect
124. #117×D₄₇	C₂²	semidirect
129. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
135. C₄₇×#541	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
139. C₂×#125×C₄₇	C₂²	semidirect
140. C₂×#125×C₄₇	C₂²	semidirect
141. C₂×#125×C₄₇	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
145. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
176. #13094024	C₂³	semidirect
177. #13094023	C₂³	semidirect
178. #13094023	C₂³	semidirect
179. #13094022	C₂³	semidirect
180. #13094019	C₂³	semidirect
181. #13094019	C₂³	semidirect
182. #13094019	C₂³	semidirect
183. #13094019	C₂³	semidirect
186. #13094015	C₂³	semidirect
187. #13094015	C₂³	semidirect
188. #13094015	C₂³	semidirect
189. #13094014	C₂³	semidirect
190. #13094014	C₂³	semidirect
191. #13094014	C₂³	semidirect
192. #13094013	C₂³	semidirect
193. #13094012	C₂³	semidirect
206. #13094004	C₂³	semidirect
211. #13094002	C₂³	semidirect
212. #13094002	C₂³	semidirect
213. #13094002	C₂³	semidirect
220. Q₈×Dic₄₇	C₂³	semidirect
221. Q₈×Dic₄₇	C₂³	semidirect
222. C₄×Dic₉₄	C₂³	semidirect
223. C₄×Dic₉₄	C₂³	semidirect
224. C₄×Dic₉₄	C₂³	semidirect
225. #13093989	C₂³	semidirect
226. #13093989	C₂³	semidirect
227. #13093989	C₂³	semidirect
230. C₄×D₁₈₈	C₂³	semidirect
234. #13093986	C₂³	semidirect
242. #13093982	C₂³	semidirect
247. #13093981	C₂³	semidirect
248. #13093981	C₂³	semidirect
278. C₄⋊C₄×D₄₇	C₂³	semidirect
317. C₄⋊Q₈×C₄₇	C₂³	semidirect
320. #125×C₄₇	C₂³	semidirect
321. #125×C₄₇	C₂³	semidirect
322. #125×C₄₇	C₂³	semidirect
325. C₄×Q₈×C₄₇	C₂³	semidirect
326. C₄×Q₈×C₄₇	C₂³	semidirect
639. C₂×#541	D₄₇	semidirect
651. C₂×C₄₇	#3495	semidirect
673. #541	C₂×D₄₇	semidirect
681. C₂×C₄⋊Q₈	C₂×D₄₇	semidirect
698. C₂×#125	C₂×D₄₇	semidirect
699. C₂×#125	C₂×D₄₇	semidirect
700. C₂×#125	C₂×D₄₇	semidirect
743. C₂×C₄×Q₈	C₂×D₄₇	semidirect
744. C₂×C₄×Q₈	C₂×D₄₇	semidirect
780. C₄₇	C₂×#3495	semidirect
817. C₄⋊Q₈	C₂²×D₄₇	semidirect
832. #125	C₂²×D₄₇	semidirect
833. #125	C₂²×D₄₇	semidirect
834. #125	C₂²×D₄₇	semidirect
873. C₄×Q₈	C₂²×D₄₇	semidirect
874. C₄×Q₈	C₂²×D₄₇	semidirect
1263. C₂	#20257132	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257132	2
C₂×#15689840	2
C₂×#15689829	2
C₂×#15689811	2
C₂×#15689809	2
C₂×#15689805	2
C₂×#15689798	2
C₂×#15689753	2
C₂×#15689746	2
C₂×#15689744	2
C₂×#15689733	2
C₂×#15689698	2
C₂×#15689678	2
C₂×#15689677	2
C₂×#15689660	2
C₂×#15689658	2
C₂×#15689636	2
C₂×C₂²⋊Q₈×D₄₇	2
C₂×#15689605	2
C₂×#15689599	2
C₂×#117×D₄₇	2
C₂×C₄₇×#541	2
C₂×#3495	47

Subgroups — C2×#20257132 #27124703

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257132 #27124703