Subgroups — C₂×#20257681 #27123435

Order 12032.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257681	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×#15689843	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689830	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689827	C₂	1	2	yes	maximal, complemented
7	C₂×#15689819	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689816	C₂	1	2	yes	maximal, complemented
9	C₂×#15689813	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×D₄×Dic₉₄	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689782	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689782	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689778	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15689744	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689741	C₂	1	2	yes	maximal, complemented
16	C₂×#15689735	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#15689716	C₂	1	2	yes	maximal, complemented
18	C₂×#15689708	C₂	1	2	yes	maximal, complemented
19	C₂×#15689708	C₂	1	2	yes	maximal, complemented
20	C₂×#15689701	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#15689694	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689634	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#13094003	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625350	C₂²	1	1	yes	characteristic
26	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
27	C₂³×Dic₉₄	C₂²	1	1	yes	characteristic
28	C₂³×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
29	#15689874	C₂²	1	32	yes	complemented
30	#15689868	C₂²	1	32	yes	complemented
31	#15689843	C₂²	1	16	yes	complemented
32	#15689830	C₂²	1	16	yes	complemented
33	#15689827	C₂²	1	32	yes	complemented
34	#15689819	C₂²	1	16	yes	complemented
35	#15689816	C₂²	1	32	yes	complemented
36	#15689813	C₂²	1	16	yes	complemented
37	D₄×Dic₉₄	C₂²	1	16	yes	complemented
38	#15689782	C₂²	1	16	yes	complemented
39	#15689782	C₂²	1	16	yes	complemented
40	#15689778	C₂²	1	16	yes	complemented
41	#15689744	C₂²	1	16	yes	complemented
42	#15689741	C₂²	1	32	yes	complemented
43	#15689735	C₂²	1	16	yes	complemented
44	#15689716	C₂²	1	32	yes	complemented
45	#15689708	C₂²	1	32	yes	complemented
46	#15689708	C₂²	1	32	yes	complemented
47	#15689701	C₂²	1	16	yes	complemented
48	#15689694	C₂²	1	16	yes	complemented
49	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13094023	C₂²	1	2	yes	complemented
52	C₂×#13094022	C₂²	1	2	yes	complemented
53	C₂×#13094019	C₂²	1	2	yes	complemented
54	C₂×#13094019	C₂²	1	2	yes	complemented
55	C₂×#13094017	C₂²	1	2	yes	—
56	C₂×#13094017	C₂²	1	2	yes	—
57	C₂×#13094017	C₂²	1	2	yes	—
58	C₂×#13094017	C₂²	1	2	yes	—
59	C₂×#13094017	C₂²	1	2	yes	complemented
60	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13094015	C₂²	1	2	yes	complemented
62	C₂×#13094014	C₂²	1	2	yes	complemented
63	C₂×#13094014	C₂²	1	2	yes	complemented
64	C₂×#13094014	C₂²	1	2	yes	complemented
65	C₂×#13094012	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13094011	C₂²	1	2	yes	—
67	C₂×#13094011	C₂²	1	2	yes	—
68	C₂×#13094010	C₂²	1	2	yes	—
69	C₂×#13094010	C₂²	1	2	yes	—
70	C₂×#13094010	C₂²	1	2	yes	complemented
71	#15689634	C₂²	1	16	yes	complemented
72	C₂×#13094007	C₂²	1	2	yes	—
73	C₂×#13094006	C₂²	1	2	yes	—
74	C₂×#13094006	C₂²	1	2	yes	—
75	C₂×#13094006	C₂²	1	2	yes	complemented
76	C₂×#13094006	C₂²	1	2	yes	complemented
77	C₂×#13094005	C₂²	1	2	yes	—
78	C₂×#13094005	C₂²	1	2	yes	—
79	C₂×#13094005	C₂²	1	2	yes	complemented
80	C₂×#13094003	C₂²	1	1	yes	characteristic
81	C₂×#13094003	C₂²	1	1	yes	characteristic
82	C₂×#13094003	C₂²	1	1	yes	characteristic
83	C₂×#13094003	C₂²	1	1	yes	characteristic
84	C₂×#13094003	C₂²	1	1	yes	characteristic
85	C₂×#13094003	C₂²	1	2	yes	—
86	C₂×#13094003	C₂²	1	2	yes	—
87	C₂×#13094003	C₂²	1	1	yes	characteristic
88	C₂×#13094003	C₂²	1	16	yes	complemented
89	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13094002	C₂²	1	2	yes	complemented
93	C₂×#13094002	C₂²	1	2	yes	complemented
94	C₂×#13094002	C₂²	1	2	yes	complemented
95	C₂×#13094001	C₂²	1	2	yes	—
96	C₂×#13094001	C₂²	1	2	yes	—
97	C₂×#13094001	C₂²	1	2	yes	complemented
98	C₂×#13094001	C₂²	1	2	yes	complemented
99	C₂×#13094000	C₂²	1	2	yes	complemented
100	C₂×#13093998	C₂²	1	1	yes	characteristic
101	C₂×#13093998	C₂²	1	1	yes	characteristic
102	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13093996	C₂²	1	2	yes	—
104	C₂×#13093996	C₂²	1	2	yes	—
105	C₂×#13093996	C₂²	1	2	yes	—
106	C₂×#13093996	C₂²	1	2	yes	—
107	C₂×#13093996	C₂²	1	2	yes	complemented
108	C₂×#13093995	C₂²	1	2	yes	—
109	C₂×#13093995	C₂²	1	2	yes	—
110	C₂×#13093993	C₂²	1	2	yes	—
111	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13093989	C₂²	1	2	yes	complemented
115	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
116	C₂×D₄×Dic₄₇	C₂²	1	2	yes	—
117	C₂×D₄×Dic₄₇	C₂²	1	2	yes	—
118	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
119	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
120	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	—
121	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	—
122	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
123	C₂×#13093983	C₂²	1	1	yes	characteristic
124	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13093980	C₂²	1	2	yes	complemented
126	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
127	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic, complemented
128	C₂²×Dic₄₇⋊C₄	C₂²	1	2	yes	—
129	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
131	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
132	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
133	C₄₇×#525	C₂²	1	16	yes	complemented
134	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
135	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
136	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
137	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
138	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
139	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
140	C₂×#120×C₄₇	C₂²	1	1	yes	characteristic
141	C₂×#120×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×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
145	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
146	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
147	C₂×#10625350	—	4	4	no	—
148	C₂×#10625350	—	4	4	no	—
149	C₂×#10625350	C₂³	1	8	yes	—
150	C₂×#10625350	C₂³	1	8	yes	complemented
151	C₂²×Dic₉₄	—	4	4	no	—
152	C₂²×Dic₉₄	—	4	4	no	—
153	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
154	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
155	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
156	C₂²×Dic₉₄	C₂³	1	8	yes	—
157	C₂²×Dic₉₄	C₂³	1	2	yes	—
158	C₂²×Dic₉₄	C₂³	1	2	yes	—
159	C₂²×Dic₉₄	C₂³	1	2	yes	—
160	C₂²×Dic₉₄	C₂³	1	8	yes	complemented
161	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
167	C₂³×Dic₄₇	C₂³	1	2	yes	—
168	C₂³×Dic₄₇	C₂³	1	2	yes	—
169	C₂³×Dic₄₇	C₂³	1	2	yes	—
170	C₂³×Dic₄₇	C₂³	1	2	yes	—
171	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
172	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
173	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
174	#13094024	C₂³	1	8	yes	complemented
175	#13094024	C₂³	1	8	yes	complemented
176	#13094023	C₂³	1	16	yes	complemented
177	#13094022	C₂³	1	16	yes	complemented
178	#13094019	C₂³	1	16	yes	complemented
179	#13094019	C₂³	1	16	yes	complemented
180	#13094017	C₂³	1	16	yes	—
181	#13094017	C₂³	1	16	yes	—
182	#13094017	C₂³	1	16	yes	—
183	#13094017	C₂³	1	16	yes	—
184	#13094017	C₂³	1	16	yes	complemented
185	#13094016	C₂³	1	8	yes	complemented
186	#13094015	C₂³	1	16	yes	complemented
187	#13094014	C₂³	1	16	yes	complemented
188	#13094014	C₂³	1	16	yes	complemented
189	#13094014	C₂³	1	16	yes	complemented
190	#13094012	C₂³	1	8	yes	complemented
191	#13094011	C₂³	1	16	yes	—
192	#13094011	C₂³	1	16	yes	—
193	#13094010	C₂³	1	16	yes	—
194	#13094010	C₂³	1	16	yes	—
195	#13094010	C₂³	1	16	yes	complemented
196	#13094007	C₂³	1	16	yes	—
197	#13094006	C₂³	1	16	yes	—
198	#13094006	C₂³	1	16	yes	—
199	#13094006	C₂³	1	16	yes	complemented
200	#13094006	C₂³	1	16	yes	complemented
201	#13094005	C₂³	1	16	yes	—
202	#13094005	C₂³	1	16	yes	—
203	#13094005	C₂³	1	16	yes	complemented
204	#13094003	C₂³	1	8	yes	—
205	#13094003	C₂³	1	8	yes	—
206	#13094003	C₂³	1	16	yes	—
207	#13094003	C₂³	1	8	yes	—
208	#13094003	C₂³	1	8	yes	—
209	#13094003	C₂³	1	8	yes	—
210	#13094003	C₂³	1	8	yes	—
211	#13094003	C₂³	1	16	yes	—
212	#13094003	C₂³	1	8	yes	complemented
213	#13094003	C₂³	1	8	yes	complemented
214	#13094003	C₂³	1	8	yes	complemented
215	#13094002	C₂³	1	16	yes	complemented
216	#13094002	C₂³	1	16	yes	complemented
217	#13094002	C₂³	1	16	yes	complemented
218	#13094001	C₂³	1	16	yes	—
219	#13094001	C₂³	1	16	yes	—
220	#13094001	C₂³	1	16	yes	complemented
221	#13094001	C₂³	1	16	yes	complemented
222	#13094000	C₂³	1	16	yes	complemented
223	#13093998	C₂³	1	8	yes	—
224	#13093998	C₂³	1	8	yes	—
225	#13093998	C₂³	1	8	yes	complemented
226	#13093996	C₂³	1	16	yes	—
227	#13093996	C₂³	1	16	yes	—
228	#13093996	C₂³	1	16	yes	—
229	#13093996	C₂³	1	16	yes	—
230	#13093996	C₂³	1	16	yes	complemented
231	#13093995	C₂³	1	16	yes	—
232	#13093995	C₂³	1	16	yes	—
233	#13093993	C₂³	1	16	yes	—
234	C₄×Dic₉₄	C₂³	1	8	yes	complemented
235	C₄×Dic₉₄	C₂³	1	8	yes	complemented
236	C₄×Dic₉₄	C₂³	1	8	yes	complemented
237	#13093989	C₂³	1	16	yes	complemented
238	C₄×D₁₈₈	C₂³	1	8	yes	complemented
239	D₄×Dic₄₇	C₂³	1	16	yes	—
240	D₄×Dic₄₇	C₂³	1	16	yes	—
241	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
242	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
243	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
244	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
245	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
246	#13093983	C₂³	1	8	yes	—
247	#13093983	C₂³	1	8	yes	complemented
248	#13093980	C₂³	1	16	yes	complemented
249	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	—
250	C₂×C₄⋊Dic₄₇	C₂³	1	2	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	8	yes	complemented
260	C₂×Dic₄₇⋊C₄	C₂³	1	16	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	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
275	C₄⋊C₄×D₄₇	C₂³	1	16	yes	complemented
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×C₂²⋊Dic₄₇	C₂³	1	16	yes	—
281	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₄₇	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×C₄×Dic₄₇	C₂³	1	2	yes	—
295	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
296	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
297	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
298	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
299	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
300	C₂×#41×C₄₇	—	4	4	no	—
301	C₂×#41×C₄₇	C₂³	1	8	yes	—
302	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
303	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
304	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
305	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
306	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
307	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
308	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
309	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
310	C₂³×C₄×C₄₇	—	4	4	no	—
311	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
312	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
313	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
314	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
317	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₄₇	C₂³	1	8	yes	—
320	#123×C₄₇	C₂³	1	8	yes	—
321	#123×C₄₇	C₂³	1	8	yes	—
322	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
323	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
324	#121×C₄₇	C₂³	1	8	yes	—
325	#121×C₄₇	C₂³	1	8	yes	—
326	#120×C₄₇	C₂³	1	8	yes	—
327	#120×C₄₇	C₂³	1	8	yes	—
328	C₄×D₄×C₄₇	C₂³	1	8	yes	—
329	C₄×D₄×C₄₇	C₂³	1	8	yes	—
330	C₄×D₄×C₄₇	C₂³	1	8	yes	—
331	C₄×D₄×C₄₇	C₂³	1	8	yes	—
332	#117×C₄₇	C₂³	1	8	yes	—
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
351	C₂⁴×C₄₇	—	2	4	no	—
352	C₂⁴×C₄₇	—	4	2	no	—
353	C₂⁴×C₄₇	—	4	2	no	—
354	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
357	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
360	C₂³×D₄₇	C₂⁴	1	2	yes	—
361	#41×C₄₇	—	4	16	no	—
362	C₂×Q₈×C₄₇	—	4	2	no	—
363	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
364	C₂×D₄×C₄₇	—	2	4	no	—
365	C₂×D₄×C₄₇	—	2	4	no	—
366	C₂×D₄×C₄₇	—	4	2	no	—
367	C₂×D₄×C₄₇	—	4	2	no	—
368	C₂×D₄×C₄₇	—	4	2	no	—
369	C₂×D₄×C₄₇	—	4	2	no	—
370	C₂×D₄×C₄₇	—	4	2	no	—
371	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
372	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
373	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
374	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
375	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
376	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
377	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
378	C₂²×C₄×C₄₇	—	2	4	no	—
379	C₂²×C₄×C₄₇	—	2	4	no	—
380	C₂²×C₄×C₄₇	—	2	4	no	—
381	C₂²×C₄×C₄₇	—	2	4	no	—
382	C₂²×C₄×C₄₇	—	2	4	no	—
383	C₂²×C₄×C₄₇	—	4	16	no	—
384	C₂²×C₄×C₄₇	—	4	2	no	—
385	C₂²×C₄×C₄₇	—	4	2	no	—
386	C₂²×C₄×C₄₇	—	4	2	no	—
387	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
397	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
398	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
399	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
400	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
403	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
404	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₄₇	—	2	8	no	—
406	C₂×C₂²⋊D₄₇	—	4	4	no	—
407	C₂×C₂²⋊D₄₇	—	4	4	no	—
408	C₂×C₂²⋊D₄₇	—	4	4	no	—
409	C₂×C₂²⋊D₄₇	—	4	4	no	—
410	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
414	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
415	C₂²×Dic₄₇	—	4	4	no	—
416	C₂²×Dic₄₇	—	4	4	no	—
417	C₂²×Dic₄₇	—	4	4	no	—
418	C₂²×Dic₄₇	—	4	4	no	—
419	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
420	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
421	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
422	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
423	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
424	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
425	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
426	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
427	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
428	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
429	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
430	#10625350	—	4	16	no	—
431	#10625350	—	4	16	no	—
432	C₂×D₁₈₈	—	2	4	no	—
433	C₂×D₁₈₈	C₂⁴	1	4	yes	—
434	C₂×C₄×D₄₇	—	4	4	no	—
435	C₂×C₄×D₄₇	—	4	4	no	—
436	C₂×C₄×D₄₇	—	4	4	no	—
437	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
438	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
439	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
440	C₂×Dic₉₄	—	2	4	no	—
441	C₂×Dic₉₄	—	2	4	no	—
442	C₂×Dic₉₄	—	2	4	no	—
443	C₂×Dic₉₄	—	4	16	no	—
444	C₂×Dic₉₄	—	4	16	no	—
445	C₂×Dic₉₄	—	4	4	no	—
446	C₂×Dic₉₄	—	4	4	no	—
447	C₂×Dic₉₄	—	4	4	no	—
448	C₂×Dic₉₄	C₂⁴	1	4	yes	—
449	C₂×Dic₉₄	C₂⁴	1	4	yes	—
450	C₂×Dic₉₄	C₂⁴	1	4	yes	—
451	C₂×Dic₉₄	C₂⁴	1	8	yes	—
452	C₂×Dic₉₄	C₂⁴	1	8	yes	—
453	C₂×Dic₉₄	C₂⁴	1	8	yes	—
454	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
455	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
456	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
457	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
458	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
459	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
460	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
461	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
462	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
463	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
464	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
465	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
466	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
467	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
468	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
469	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
470	C₄²×C₄₇	C₂⁴	1	4	yes	—
471	C₄²×C₄₇	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
475	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
479	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
482	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
483	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
485	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
486	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
487	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
488	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
489	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
490	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
491	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
492	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
493	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
494	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
495	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
496	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
497	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
498	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
499	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
500	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
501	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
502	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
503	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
504	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
505	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
506	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
507	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
508	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
509	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
510	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
511	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
512	C₄×Dic₄₇	C₂⁴	1	8	yes	—
513	C₄×Dic₄₇	C₂⁴	1	8	yes	—
514	C₄×Dic₄₇	C₂⁴	1	8	yes	—
515	C₄×Dic₄₇	C₂⁴	1	8	yes	—
516	C₄×Dic₄₇	C₂⁴	1	8	yes	—
517	C₂³×C₄₇	—	2	2	no	—
518	C₂³×C₄₇	—	2	2	no	—
519	C₂³×C₄₇	—	2	2	no	—
520	C₂³×C₄₇	—	2	2	no	—
521	C₂³×C₄₇	—	2	2	no	—
522	C₂³×C₄₇	—	2	2	no	—
523	C₂³×C₄₇	—	2	2	no	—
524	C₂³×C₄₇	—	2	2	no	—
525	C₂³×C₄₇	—	2	8	no	—
526	C₂³×C₄₇	—	2	2	no	—
527	C₂³×C₄₇	—	2	2	no	—
528	C₂³×C₄₇	—	2	2	no	—
529	C₂³×C₄₇	—	2	2	no	—
530	C₂³×C₄₇	—	2	2	no	—
531	C₂³×C₄₇	—	2	2	no	—
532	C₂³×C₄₇	—	4	4	no	—
533	C₂³×C₄₇	—	4	4	no	—
534	C₂³×C₄₇	—	4	16	no	—
535	C₂³×C₄₇	2₋¹⁺⁴	1	4	yes	—
536	C₂³×C₄₇	C₂⁵	1	2	yes	—
537	C₂³×C₄₇	C₂⁵	1	2	yes	—
538	C₂³×C₄₇	C₂⁵	1	2	yes	—
539	C₂³×C₄₇	C₂⁵	1	2	yes	—
540	C₂³×C₄₇	C₂⁵	1	2	yes	—
541	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
542	C₂²×D₄₇	—	2	4	no	—
543	C₂²×D₄₇	—	2	4	no	—
544	C₂²×D₄₇	—	2	4	no	—
545	C₂²×D₄₇	C₂⁵	1	4	yes	—
546	Q₈×C₄₇	—	4	4	no	—
547	D₄×C₄₇	—	2	8	no	—
548	D₄×C₄₇	—	2	8	no	—
549	D₄×C₄₇	—	4	4	no	—
550	D₄×C₄₇	—	4	4	no	—
551	D₄×C₄₇	—	4	4	no	—
552	D₄×C₄₇	—	4	4	no	—
553	D₄×C₄₇	—	4	4	no	—
554	C₂×C₄×C₄₇	—	2	2	no	—
555	C₂×C₄×C₄₇	—	2	2	no	—
556	C₂×C₄×C₄₇	—	2	2	no	—
557	C₂×C₄×C₄₇	—	2	2	no	—
558	C₂×C₄×C₄₇	—	2	2	no	—
559	C₂×C₄×C₄₇	—	2	2	no	—
560	C₂×C₄×C₄₇	—	2	2	no	—
561	C₂×C₄×C₄₇	—	2	2	no	—
562	C₂×C₄×C₄₇	—	2	2	no	—
563	C₂×C₄×C₄₇	—	2	8	no	—
564	C₂×C₄×C₄₇	—	2	8	no	—
565	C₂×C₄×C₄₇	—	2	8	no	—
566	C₂×C₄×C₄₇	—	2	8	no	—
567	C₂×C₄×C₄₇	—	2	8	no	—
568	C₂×C₄×C₄₇	—	4	4	no	—
569	C₂×C₄×C₄₇	—	4	4	no	—
570	C₂×C₄×C₄₇	—	4	4	no	—
571	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
572	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
573	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
574	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
575	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
576	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
577	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
578	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
579	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
580	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
581	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
582	C₂²⋊D₄₇	—	2	16	no	—
583	C₂²⋊D₄₇	—	4	8	no	—
584	C₂²⋊D₄₇	—	4	8	no	—
585	C₂²⋊D₄₇	—	4	8	no	—
586	C₂²⋊D₄₇	—	4	8	no	—
587	C₂×Dic₄₇	—	2	4	no	—
588	C₂×Dic₄₇	—	2	4	no	—
589	C₂×Dic₄₇	—	2	4	no	—
590	C₂×Dic₄₇	—	2	4	no	—
591	C₂×Dic₄₇	—	2	4	no	—
592	C₂×Dic₄₇	—	2	4	no	—
593	C₂×Dic₄₇	—	2	4	no	—
594	C₂×Dic₄₇	—	4	8	no	—
595	C₂×Dic₄₇	—	4	8	no	—
596	C₂×Dic₄₇	—	4	8	no	—
597	C₂×Dic₄₇	—	4	8	no	—
598	C₂×Dic₄₇	C₂⁵	1	4	yes	—
599	C₂×Dic₄₇	C₂⁵	1	4	yes	—
600	C₂×Dic₄₇	C₂⁵	1	4	yes	—
601	C₂×Dic₄₇	C₂⁵	1	4	yes	—
602	C₂×Dic₄₇	C₂⁵	1	4	yes	—
603	C₂×Dic₄₇	C₂⁵	1	4	yes	—
604	C₂×Dic₄₇	C₂⁵	1	4	yes	—
605	D₁₈₈	—	2	8	no	—
606	C₄×D₄₇	—	4	8	no	—
607	C₄×D₄₇	—	4	8	no	—
608	C₄×D₄₇	—	4	8	no	—
609	Dic₉₄	—	2	8	no	—
610	Dic₉₄	—	2	8	no	—
611	Dic₉₄	—	2	8	no	—
612	Dic₉₄	—	4	8	no	—
613	Dic₉₄	—	4	8	no	—
614	Dic₉₄	—	4	8	no	—
615	C₂×#3541	—	47	1	no	maximal, Sylow
616	C₂²×C₄₇	—	2	2	no	—
617	C₂²×C₄₇	—	2	2	no	—
618	C₂²×C₄₇	—	2	8	no	—
619	C₂²×C₄₇	—	2	2	no	—
620	C₂²×C₄₇	—	2	2	no	—
621	C₂²×C₄₇	—	2	2	no	—
622	C₂²×C₄₇	—	2	2	no	—
623	C₂²×C₄₇	—	2	2	no	—
624	C₂²×C₄₇	—	2	2	no	—
625	C₂²×C₄₇	—	2	2	no	—
626	C₂²×C₄₇	—	2	2	no	—
627	C₂²×C₄₇	—	2	2	no	—
628	C₂²×C₄₇	—	2	2	no	—
629	C₂²×C₄₇	—	2	2	no	—
630	C₂²×C₄₇	—	2	2	no	—
631	C₂²×C₄₇	—	4	16	no	—
632	C₂²×C₄₇	—	4	4	no	—
633	C₂²×C₄₇	—	4	4	no	—
634	C₂²×C₄₇	—	4	4	no	—
635	C₂²×C₄₇	—	4	4	no	—
636	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
637	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
638	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
639	C₂²×C₄₇	#585	1	2	yes	—
640	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
641	C₂×D₄₇	—	2	4	no	—
642	C₂×D₄₇	—	2	4	no	—
643	C₂×D₄₇	—	2	4	no	—
644	C₂×D₄₇	—	4	8	no	—
645	C₄×C₄₇	—	2	2	no	—
646	C₄×C₄₇	—	2	2	no	—
647	C₄×C₄₇	—	2	2	no	—
648	C₄×C₄₇	—	2	2	no	—
649	C₄×C₄₇	—	2	2	no	—
650	C₄×C₄₇	—	2	2	no	—
651	C₄×C₄₇	—	2	2	no	—
652	C₄×C₄₇	—	2	2	no	—
653	C₄×C₄₇	—	2	2	no	—
654	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
655	Dic₄₇	—	2	4	no	—
656	Dic₄₇	—	2	4	no	—
657	Dic₄₇	—	2	4	no	—
658	Dic₄₇	—	2	4	no	—
659	Dic₄₇	—	2	4	no	—
660	Dic₄₇	—	2	4	no	—
661	Dic₄₇	—	2	4	no	—
662	#3541	—	47	32	no	—
663	C₂×#563	—	47	2	no	—
664	C₂×#562	—	47	2	no	—
665	C₂×#556	—	47	1	no	—
666	C₂×#554	—	47	2	no	—
667	C₂×#554	—	47	1	no	—
668	C₂×#553	—	47	2	no	—
669	C₂×#553	—	47	1	no	—
670	C₂×#552	—	47	1	no	—
671	C₂×D₄×Q₈	—	47	1	no	—
672	C₂×#548	—	47	1	no	—
673	C₂×#548	—	47	1	no	—
674	C₂×#547	—	47	1	no	—
675	C₂×#542	—	47	2	no	—
676	C₂×#542	—	47	1	no	—
677	C₂×#541	—	47	1	no	—
678	C₂×#539	—	47	2	no	—
679	C₂×#538	—	47	2	no	—
680	C₂×#538	—	47	2	no	—
681	C₂×#537	—	47	1	no	—
682	C₂×#536	—	47	1	no	—
683	C₂×#525	—	47	1	no	—
684	C₂×#525	D₄₇	1	1	yes	characteristic, complemented
685	C₂²×C₂²⋊Q₈	—	47	1	no	—
686	C₂×C₄₇	—	2	4	no	—
687	C₂×C₄₇	—	4	2	no	—
688	C₂×C₄₇	—	4	2	no	—
689	C₂×C₄₇	—	4	2	no	—
690	C₂×C₄₇	—	4	2	no	—
691	C₂×C₄₇	#3541	1	4	yes	complemented
692	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
694	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
695	D₄₇	—	4	4	no	—
696	C₂²×#41	—	47	1	no	—
697	C₂²×#41	—	47	1	no	—
698	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
699	C₂³×Q₈	—	47	1	no	—
700	C₂³×Q₈	—	47	1	no	—
701	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
702	#563	—	47	32	no	—
703	#562	—	47	32	no	—
704	#556	—	47	16	no	—
705	#554	—	47	32	no	—
706	#554	—	47	16	no	—
707	#553	—	47	32	no	—
708	#553	—	47	16	no	—
709	#552	—	47	16	no	—
710	D₄×Q₈	—	47	16	no	—
711	#548	—	47	16	no	—
712	#548	—	47	16	no	—
713	#547	—	47	16	no	—
714	#542	—	47	32	no	—
715	#542	—	47	16	no	—
716	#541	—	47	16	no	—
717	#539	—	47	32	no	—
718	#538	—	47	32	no	—
719	#538	—	47	32	no	—
720	#537	—	47	16	no	—
721	#536	—	47	16	no	—
722	C₂×C₄⋊Q₈	—	47	2	no	—
723	C₂×C₄⋊Q₈	—	47	2	no	—
724	C₂×C₄⋊Q₈	—	47	1	no	—
725	C₂×C₄⋊Q₈	—	47	1	no	—
726	C₂×#126	—	47	2	no	—
727	C₂×#126	—	47	2	no	—
728	C₂×#126	—	47	2	no	—
729	C₂×#126	—	47	2	no	—
730	C₂×#126	—	47	2	no	—
731	C₂×#126	—	47	2	no	—
732	C₂×#126	—	47	2	no	—
733	C₂×#125	—	47	2	no	—
734	C₂×#125	—	47	2	no	—
735	C₂×#125	—	47	2	no	—
736	C₂×#125	—	47	2	no	—
737	C₂×#125	—	47	1	no	—
738	C₂×#124	—	47	2	no	—
739	C₂×#124	—	47	2	no	—
740	C₂×#124	—	47	2	no	—
741	C₂×#124	—	47	2	no	—
742	C₂×#124	—	47	2	no	—
743	C₂×#124	—	47	1	no	—
744	#525	—	47	16	no	—
745	#525	C₂×D₄₇	1	16	yes	complemented
746	C₂×#123	—	47	2	no	—
747	C₂×#123	—	47	2	no	—
748	C₂×#123	—	47	2	no	—
749	C₂×#123	—	47	2	no	—
750	C₂×#123	—	47	2	no	—
751	C₂×#123	—	47	2	no	—
752	C₂×#123	—	47	2	no	—
753	C₂×#123	—	47	2	no	—
754	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
755	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
756	C₂×C₂²⋊Q₈	—	47	2	no	—
757	C₂×C₂²⋊Q₈	—	47	1	no	—
758	C₂×C₂²⋊Q₈	—	47	1	no	—
759	C₂×C₂²⋊Q₈	—	47	2	no	—
760	C₂×C₂²⋊Q₈	—	47	1	no	—
761	C₂×C₂²⋊Q₈	—	47	1	no	—
762	C₂×C₂²⋊Q₈	—	47	2	no	—
763	C₂×C₂²⋊Q₈	—	47	16	no	—
764	C₂×C₂²⋊Q₈	—	47	1	no	—
765	C₂×C₂²⋊Q₈	—	47	1	no	—
766	C₂×C₂²⋊Q₈	—	47	1	no	—
767	C₂×C₂²⋊Q₈	—	47	1	no	—
768	C₂×C₂²⋊Q₈	—	47	1	no	—
769	C₂×C₂²⋊Q₈	—	47	2	no	—
770	C₂×C₂²⋊Q₈	—	47	2	no	—
771	C₂×C₂²⋊Q₈	—	47	2	no	—
772	C₂×C₂²⋊Q₈	—	47	2	no	—
773	C₂×C₂²⋊Q₈	—	47	2	no	—
774	C₂×C₂²⋊Q₈	—	47	2	no	—
775	C₂×C₂²⋊Q₈	—	47	2	no	—
776	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
777	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
778	C₂×#121	—	47	2	no	—
779	C₂×#121	—	47	2	no	—
780	C₂×#121	—	47	2	no	—
781	C₂×#121	—	47	2	no	—
782	C₂×#121	—	47	2	no	—
783	C₂×#121	—	47	2	no	—
784	C₂×#121	—	47	2	no	—
785	C₂×#121	—	47	1	no	—
786	C₂×#121	—	47	1	no	—
787	C₂×#121	—	47	1	no	—
788	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
789	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
790	C₂×#120	—	47	2	no	—
791	C₂×#120	C₂×D₄₇	1	1	yes	characteristic
792	C₂×#120	C₂×D₄₇	1	1	yes	characteristic
793	C₂×C₄×Q₈	—	47	2	no	—
794	C₂×C₄×Q₈	—	47	1	no	—
795	C₂×C₄×Q₈	—	47	1	no	—
796	C₂×C₄×Q₈	—	47	1	no	—
797	C₂×C₄×D₄	—	47	2	no	—
798	C₂×C₄×D₄	—	47	2	no	—
799	C₂×C₄×D₄	—	47	2	no	—
800	C₂×C₄×D₄	—	47	2	no	—
801	C₂×C₄×D₄	—	47	2	no	—
802	C₂×C₄×D₄	—	47	2	no	—
803	C₂×C₄×D₄	—	47	2	no	—
804	C₂×C₄×D₄	—	47	1	no	—
805	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
806	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
807	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
808	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
809	C₂×#117	—	47	1	no	—
810	C₂×#117	—	47	1	no	—
811	C₂×#117	—	47	2	no	—
812	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
813	C₂²×C₄⋊C₄	—	47	2	no	—
814	C₂²×C₄⋊C₄	—	47	1	no	—
815	C₂²×C₄⋊C₄	—	47	1	no	—
816	C₂²×C₄⋊C₄	—	47	2	no	—
817	C₂²×C₂²⋊C₄	—	47	2	no	—
818	C₄₇	C₂×#3541	1	1	yes	characteristic, complemented, Sylow
819	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
820	C₂×#41	—	4	4	no	—
821	C₂×#41	—	47	8	no	—
822	C₂×#41	—	47	8	no	—
823	C₂×#41	—	188	4	no	—
824	C₂×#41	—	188	4	no	—
825	C₂×#41	C₂²×D₄₇	1	8	yes	—
826	C₂²×Q₈	—	47	1	no	—
827	C₂²×Q₈	—	47	1	no	—
828	C₂²×Q₈	—	47	1	no	—
829	C₂²×Q₈	—	47	2	no	—
830	C₂²×Q₈	—	47	2	no	—
831	C₂²×Q₈	—	47	2	no	—
832	C₂²×Q₈	—	47	8	no	—
833	C₂²×Q₈	—	47	8	no	—
834	C₂²×Q₈	—	188	4	no	—
835	C₂²×Q₈	—	188	4	no	—
836	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
837	C₂²×D₄	—	47	2	no	—
838	C₂²×D₄	—	47	2	no	—
839	C₂²×D₄	—	47	2	no	—
840	C₂²×D₄	—	47	2	no	—
841	C₂²×D₄	—	47	2	no	—
842	C₂²×D₄	—	47	1	no	—
843	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
844	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
845	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
846	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
847	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
848	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
849	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
850	C₂³×C₄	—	4	4	no	—
851	C₂³×C₄	—	47	2	no	—
852	C₂³×C₄	—	47	2	no	—
853	C₂³×C₄	—	47	2	no	—
854	C₂³×C₄	—	47	2	no	—
855	C₂³×C₄	—	47	2	no	—
856	C₂³×C₄	—	47	2	no	—
857	C₂³×C₄	—	47	2	no	—
858	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
859	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
860	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
861	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
862	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
863	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
864	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
865	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
866	C₂³×C₄	C₂²×D₄₇	1	8	yes	—
867	C₄⋊Q₈	—	47	16	no	—
868	C₄⋊Q₈	—	47	16	no	—
869	C₄⋊Q₈	—	47	8	no	—
870	C₄⋊Q₈	—	47	8	no	—
871	#126	—	47	16	no	—
872	#126	—	47	16	no	—
873	#126	—	47	16	no	—
874	#126	—	47	16	no	—
875	#126	—	47	16	no	—
876	#126	—	47	16	no	—
877	#126	—	47	16	no	—
878	#125	—	47	16	no	—
879	#125	—	47	16	no	—
880	#125	—	47	16	no	—
881	#125	—	47	16	no	—
882	#125	—	47	8	no	—
883	#124	—	47	16	no	—
884	#124	—	47	16	no	—
885	#124	—	47	16	no	—
886	#124	—	47	16	no	—
887	#124	—	47	16	no	—
888	#124	—	47	8	no	—
889	#123	—	47	16	no	—
890	#123	—	47	16	no	—
891	#123	—	47	16	no	—
892	#123	—	47	16	no	—
893	#123	—	47	16	no	—
894	#123	—	47	16	no	—
895	#123	—	47	16	no	—
896	#123	—	47	16	no	—
897	#123	C₂²×D₄₇	1	8	yes	—
898	#123	C₂²×D₄₇	1	8	yes	—
899	C₂²⋊Q₈	—	47	16	no	—
900	C₂²⋊Q₈	—	47	8	no	—
901	C₂²⋊Q₈	—	47	8	no	—
902	C₂²⋊Q₈	—	47	16	no	—
903	C₂²⋊Q₈	—	47	8	no	—
904	C₂²⋊Q₈	—	47	8	no	—
905	C₂²⋊Q₈	—	47	16	no	—
906	C₂²⋊Q₈	—	47	8	no	—
907	C₂²⋊Q₈	—	47	8	no	—
908	C₂²⋊Q₈	—	47	8	no	—
909	C₂²⋊Q₈	—	47	8	no	—
910	C₂²⋊Q₈	—	47	8	no	—
911	C₂²⋊Q₈	—	47	16	no	—
912	C₂²⋊Q₈	—	47	16	no	—
913	C₂²⋊Q₈	—	47	16	no	—
914	C₂²⋊Q₈	—	47	16	no	—
915	C₂²⋊Q₈	—	47	16	no	—
916	C₂²⋊Q₈	—	47	16	no	—
917	C₂²⋊Q₈	—	47	16	no	—
918	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	—
919	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	—
920	#121	—	47	16	no	—
921	#121	—	47	16	no	—
922	#121	—	47	16	no	—
923	#121	—	47	16	no	—
924	#121	—	47	16	no	—
925	#121	—	47	16	no	—
926	#121	—	47	16	no	—
927	#121	—	47	8	no	—
928	#121	—	47	8	no	—
929	#121	—	47	8	no	—
930	#121	C₂²×D₄₇	1	8	yes	—
931	#121	C₂²×D₄₇	1	8	yes	—
932	#120	—	47	16	no	—
933	#120	C₂²×D₄₇	1	8	yes	—
934	#120	C₂²×D₄₇	1	8	yes	—
935	C₄×Q₈	—	47	16	no	—
936	C₄×Q₈	—	47	8	no	—
937	C₄×Q₈	—	47	8	no	—
938	C₄×Q₈	—	47	8	no	—
939	C₄×D₄	—	47	16	no	—
940	C₄×D₄	—	47	16	no	—
941	C₄×D₄	—	47	16	no	—
942	C₄×D₄	—	47	16	no	—
943	C₄×D₄	—	47	16	no	—
944	C₄×D₄	—	47	16	no	—
945	C₄×D₄	—	47	16	no	—
946	C₄×D₄	—	47	8	no	—
947	C₄×D₄	C₂²×D₄₇	1	8	yes	—
948	C₄×D₄	C₂²×D₄₇	1	8	yes	—
949	C₄×D₄	C₂²×D₄₇	1	8	yes	—
950	C₄×D₄	C₂²×D₄₇	1	8	yes	—
951	#117	—	47	8	no	—
952	#117	—	47	8	no	—
953	#117	—	47	16	no	—
954	#117	C₂²×D₄₇	1	8	yes	—
955	C₂×C₄⋊C₄	—	47	1	no	—
956	C₂×C₄⋊C₄	—	47	2	no	—
957	C₂×C₄⋊C₄	—	47	2	no	—
958	C₂×C₄⋊C₄	—	47	1	no	—
959	C₂×C₄⋊C₄	—	47	1	no	—
960	C₂×C₄⋊C₄	—	47	2	no	—
961	C₂×C₄⋊C₄	—	47	2	no	—
962	C₂×C₄⋊C₄	—	47	2	no	—
963	C₂×C₄⋊C₄	—	47	2	no	—
964	C₂×C₄⋊C₄	—	47	2	no	—
965	C₂×C₄⋊C₄	—	47	2	no	—
966	C₂×C₄⋊C₄	—	47	16	no	—
967	C₂×C₄⋊C₄	—	47	8	no	—
968	C₂×C₄⋊C₄	—	47	8	no	—
969	C₂×C₄⋊C₄	—	47	1	no	—
970	C₂×C₄⋊C₄	—	47	2	no	—
971	C₂×C₄⋊C₄	—	47	2	no	—
972	C₂×C₄⋊C₄	—	47	2	no	—
973	C₂×C₄⋊C₄	—	47	2	no	—
974	C₂×C₄⋊C₄	—	47	2	no	—
975	C₂×C₄⋊C₄	—	47	2	no	—
976	C₂×C₄⋊C₄	—	47	2	no	—
977	C₂×C₄⋊C₄	—	47	2	no	—
978	C₂×C₄⋊C₄	—	47	2	no	—
979	C₂×C₄⋊C₄	—	47	2	no	—
980	C₂×C₄⋊C₄	—	47	2	no	—
981	C₂×C₄⋊C₄	—	47	16	no	—
982	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	—	47	2	no	—
989	C₂×C₂²⋊C₄	—	47	2	no	—
990	C₂×C₂²⋊C₄	—	47	2	no	—
991	C₂×C₂²⋊C₄	—	47	2	no	—
992	C₂×C₂²⋊C₄	—	47	16	no	—
993	C₂×C₂²⋊C₄	—	47	2	no	—
994	C₂×C₂²⋊C₄	—	47	2	no	—
995	C₂×C₂²⋊C₄	—	47	2	no	—
996	C₂×C₂²⋊C₄	—	47	2	no	—
997	C₂×C₂²⋊C₄	—	47	2	no	—
998	C₂×C₂²⋊C₄	—	47	2	no	—
999	C₂×C₂²⋊C₄	—	47	2	no	—
1000	C₂×C₂²⋊C₄	—	47	2	no	—
1001	C₂×C₂²⋊C₄	—	47	2	no	—
1002	C₂×C₂²⋊C₄	—	47	2	no	—
1003	C₂×C₂²⋊C₄	—	47	2	no	—
1004	C₂×C₂²⋊C₄	—	47	2	no	—
1005	C₂×C₂²⋊C₄	—	47	2	no	—
1006	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1016	C₂×C₄²	—	47	2	no	—
1017	C₂×C₄²	—	47	2	no	—
1018	C₂×C₄²	—	47	2	no	—
1019	C₂×C₄²	—	47	2	no	—
1020	C₂×C₄²	—	47	2	no	—
1021	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1022	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1023	C₂⁴	—	2	4	no	—
1024	C₂⁴	—	4	2	no	—
1025	C₂⁴	—	4	2	no	—
1026	C₂⁴	—	47	2	no	—
1027	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1028	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1029	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1030	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1031	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1032	C₂⁴	C₂³×D₄₇	1	4	yes	—
1033	#41	—	4	16	no	—
1034	#41	—	188	16	no	—
1035	#41	—	188	16	no	—
1036	C₂×Q₈	—	4	2	no	—
1037	C₂×Q₈	—	47	4	no	—
1038	C₂×Q₈	—	47	4	no	—
1039	C₂×Q₈	—	47	4	no	—
1040	C₂×Q₈	—	47	8	no	—
1041	C₂×Q₈	—	47	8	no	—
1042	C₂×Q₈	—	47	8	no	—
1043	C₂×Q₈	—	94	4	no	—
1044	C₂×Q₈	—	94	4	no	—
1045	C₂×Q₈	—	94	4	no	—
1046	C₂×Q₈	—	188	4	no	—
1047	C₂×Q₈	—	188	4	no	—
1048	C₂×Q₈	—	188	4	no	—
1049	C₂×Q₈	—	188	16	no	—
1050	C₂×Q₈	—	188	16	no	—
1051	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1052	C₂×D₄	—	2	4	no	—
1053	C₂×D₄	—	2	4	no	—
1054	C₂×D₄	—	4	2	no	—
1055	C₂×D₄	—	4	2	no	—
1056	C₂×D₄	—	4	2	no	—
1057	C₂×D₄	—	4	2	no	—
1058	C₂×D₄	—	4	2	no	—
1059	C₂×D₄	—	47	8	no	—
1060	C₂×D₄	—	47	8	no	—
1061	C₂×D₄	—	47	8	no	—
1062	C₂×D₄	—	47	8	no	—
1063	C₂×D₄	—	47	8	no	—
1064	C₂×D₄	—	47	4	no	—
1065	C₂×D₄	—	94	8	no	—
1066	C₂×D₄	—	94	4	no	—
1067	C₂×D₄	—	188	4	no	—
1068	C₂×D₄	—	188	4	no	—
1069	C₂×D₄	—	188	4	no	—
1070	C₂×D₄	—	188	4	no	—
1071	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1072	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1073	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1074	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1075	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1076	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1077	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1078	C₂²×C₄	—	2	4	no	—
1079	C₂²×C₄	—	2	4	no	—
1080	C₂²×C₄	—	2	4	no	—
1081	C₂²×C₄	—	2	4	no	—
1082	C₂²×C₄	—	2	4	no	—
1083	C₂²×C₄	—	4	16	no	—
1084	C₂²×C₄	—	4	2	no	—
1085	C₂²×C₄	—	4	2	no	—
1086	C₂²×C₄	—	4	2	no	—
1087	C₂²×C₄	—	47	2	no	—
1088	C₂²×C₄	—	47	2	no	—
1089	C₂²×C₄	—	47	2	no	—
1090	C₂²×C₄	—	47	2	no	—
1091	C₂²×C₄	—	47	2	no	—
1092	C₂²×C₄	—	47	2	no	—
1093	C₂²×C₄	—	47	2	no	—
1094	C₂²×C₄	—	47	8	no	—
1095	C₂²×C₄	—	47	8	no	—
1096	C₂²×C₄	—	47	8	no	—
1097	C₂²×C₄	—	47	8	no	—
1098	C₂²×C₄	—	47	8	no	—
1099	C₂²×C₄	—	47	8	no	—
1100	C₂²×C₄	—	47	8	no	—
1101	C₂²×C₄	—	188	4	no	—
1102	C₂²×C₄	—	188	4	no	—
1103	C₂²×C₄	—	188	4	no	—
1104	C₂²×C₄	—	188	4	no	—
1105	C₂²×C₄	—	188	4	no	—
1106	C₂²×C₄	—	188	4	no	—
1107	C₂²×C₄	—	188	4	no	—
1108	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1109	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1110	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1111	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1112	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1113	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1123	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1124	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1125	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1126	C₄⋊C₄	—	47	8	no	—
1127	C₄⋊C₄	—	47	8	no	—
1128	C₄⋊C₄	—	47	8	no	—
1129	C₄⋊C₄	—	47	8	no	—
1130	C₄⋊C₄	—	47	8	no	—
1131	C₄⋊C₄	—	47	8	no	—
1132	C₄⋊C₄	—	47	8	no	—
1133	C₄⋊C₄	—	47	8	no	—
1134	C₄⋊C₄	—	47	8	no	—
1135	C₄⋊C₄	—	47	8	no	—
1136	C₄⋊C₄	—	47	8	no	—
1137	C₄⋊C₄	—	47	8	no	—
1138	C₄⋊C₄	—	47	8	no	—
1139	C₄⋊C₄	—	47	8	no	—
1140	C₄⋊C₄	—	47	4	no	—
1141	C₄⋊C₄	—	47	4	no	—
1142	C₄⋊C₄	—	47	4	no	—
1143	C₄⋊C₄	—	47	8	no	—
1144	C₄⋊C₄	—	47	8	no	—
1145	C₄⋊C₄	—	47	8	no	—
1146	C₄⋊C₄	—	47	4	no	—
1147	C₄⋊C₄	—	47	8	no	—
1148	C₄⋊C₄	—	47	8	no	—
1149	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1151	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1152	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1153	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1154	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1155	C₂²⋊C₄	—	47	8	no	—
1156	C₂²⋊C₄	—	47	8	no	—
1157	C₂²⋊C₄	—	47	8	no	—
1158	C₂²⋊C₄	—	47	8	no	—
1159	C₂²⋊C₄	—	47	8	no	—
1160	C₂²⋊C₄	—	47	8	no	—
1161	C₂²⋊C₄	—	47	8	no	—
1162	C₂²⋊C₄	—	47	8	no	—
1163	C₂²⋊C₄	—	47	8	no	—
1164	C₂²⋊C₄	—	47	8	no	—
1165	C₂²⋊C₄	—	47	8	no	—
1166	C₂²⋊C₄	—	47	8	no	—
1167	C₂²⋊C₄	—	47	8	no	—
1168	C₂²⋊C₄	—	47	8	no	—
1169	C₂²⋊C₄	—	47	8	no	—
1170	C₂²⋊C₄	—	47	8	no	—
1171	C₂²⋊C₄	—	47	8	no	—
1172	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1173	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1175	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1176	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1177	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1178	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1179	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1180	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1181	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1182	C₄²	—	47	8	no	—
1183	C₄²	—	47	8	no	—
1184	C₄²	—	47	8	no	—
1185	C₄²	—	47	8	no	—
1186	C₄²	—	47	8	no	—
1187	C₄²	C₂³×D₄₇	1	4	yes	—
1188	C₄²	C₂³×D₄₇	1	4	yes	—
1189	C₂³	—	2	2	no	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	8	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	4	4	no	—
1205	C₂³	—	4	4	no	—
1206	C₂³	—	4	16	no	—
1207	C₂³	—	47	4	no	—
1208	C₂³	—	94	4	no	—
1209	C₂³	—	94	4	no	—
1210	C₂³	—	94	4	no	—
1211	C₂³	#13094071	1	4	yes	—
1212	C₂³	C₂⁴×D₄₇	1	2	yes	—
1213	C₂³	C₂⁴×D₄₇	1	2	yes	—
1214	C₂³	C₂⁴×D₄₇	1	2	yes	—
1215	C₂³	C₂⁴×D₄₇	1	2	yes	—
1216	C₂³	C₂⁴×D₄₇	1	2	yes	—
1217	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1218	Q₈	—	4	4	no	—
1219	Q₈	—	94	8	no	—
1220	Q₈	—	94	8	no	—
1221	Q₈	—	94	8	no	—
1222	Q₈	—	188	8	no	—
1223	Q₈	—	188	8	no	—
1224	Q₈	—	188	8	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	4	4	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	4	no	—
1230	D₄	—	4	4	no	—
1231	D₄	—	4	4	no	—
1232	D₄	—	94	16	no	—
1233	D₄	—	94	8	no	—
1234	D₄	—	188	8	no	—
1235	D₄	—	188	8	no	—
1236	D₄	—	188	8	no	—
1237	D₄	—	188	8	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	8	no	—
1248	C₂×C₄	—	2	8	no	—
1249	C₂×C₄	—	2	8	no	—
1250	C₂×C₄	—	2	8	no	—
1251	C₂×C₄	—	2	8	no	—
1252	C₂×C₄	—	4	4	no	—
1253	C₂×C₄	—	4	4	no	—
1254	C₂×C₄	—	4	4	no	—
1255	C₂×C₄	—	47	4	no	—
1256	C₂×C₄	—	47	4	no	—
1257	C₂×C₄	—	47	4	no	—
1258	C₂×C₄	—	47	4	no	—
1259	C₂×C₄	—	47	4	no	—
1260	C₂×C₄	—	47	4	no	—
1261	C₂×C₄	—	47	4	no	—
1262	C₂×C₄	—	94	4	no	—
1263	C₂×C₄	—	94	4	no	—
1264	C₂×C₄	—	94	4	no	—
1265	C₂×C₄	—	94	4	no	—
1266	C₂×C₄	—	94	4	no	—
1267	C₂×C₄	—	94	4	no	—
1268	C₂×C₄	—	94	4	no	—
1269	C₂×C₄	—	188	8	no	—
1270	C₂×C₄	—	188	8	no	—
1271	C₂×C₄	—	188	8	no	—
1272	C₂×C₄	—	188	8	no	—
1273	C₂×C₄	—	188	8	no	—
1274	C₂×C₄	—	188	8	no	—
1275	C₂×C₄	—	188	8	no	—
1276	C₂×C₄	#13094069	1	4	yes	—
1277	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1278	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1279	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1280	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1281	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1282	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1283	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1284	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1286	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	8	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	4	16	no	—
1303	C₂²	—	4	4	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	4	4	no	—
1306	C₂²	—	4	4	no	—
1307	C₂²	—	94	4	no	—
1308	C₂²	—	94	4	no	—
1309	C₂²	—	94	4	no	—
1310	C₂²	—	188	8	no	—
1311	C₂²	C₂×#13094069	1	2	yes	—
1312	C₂²	C₂×#13094071	1	4	yes	—
1313	C₂²	C₂×#13094071	1	2	yes	—
1314	C₂²	#15689959	1	2	yes	—
1315	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	94	4	no	—
1326	C₄	—	94	4	no	—
1327	C₄	—	94	4	no	—
1328	C₄	—	94	4	no	—
1329	C₄	—	94	4	no	—
1330	C₄	—	94	4	no	—
1331	C₄	—	94	4	no	—
1332	C₄	C₂×#13094069	1	4	yes	—
1333	C₂	—	2	4	no	—
1334	C₂	—	4	2	no	—
1335	C₂	—	4	2	no	—
1336	C₂	—	4	2	no	—
1337	C₂	—	4	2	no	—
1338	C₂	—	188	4	no	—
1339	C₂	#20257681	1	4	yes	direct product factor
1340	C₂	C₂²×#13094069	1	1	yes	characteristic
1341	C₂	C₂²×#13094071	1	1	yes	characteristic
1342	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×#525	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#525	D₄₇
hypocenter	C₄₇	C₂×#3541
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #20257681	C₂	direct (N × H)
2. C₂×#15689874	C₂	semidirect
3. C₂×#15689868	C₂	semidirect
4. C₂×#15689843	C₂	semidirect
5. C₂×#15689830	C₂	semidirect
6. C₂×#15689827	C₂	semidirect
7. C₂×#15689819	C₂	semidirect
8. C₂×#15689816	C₂	semidirect
9. C₂×#15689813	C₂	semidirect
10. C₂×D₄×Dic₉₄	C₂	semidirect
11. C₂×#15689782	C₂	semidirect
12. C₂×#15689782	C₂	semidirect
13. C₂×#15689778	C₂	semidirect
14. C₂×#15689744	C₂	semidirect
15. C₂×#15689741	C₂	semidirect
16. C₂×#15689735	C₂	semidirect
17. C₂×#15689716	C₂	semidirect
18. C₂×#15689708	C₂	semidirect
19. C₂×#15689708	C₂	semidirect
20. C₂×#15689701	C₂	semidirect
21. C₂×#15689694	C₂	semidirect
22. C₂×#15689634	C₂	semidirect
23. C₂²×#13094003	C₂	semidirect
24. C₂×C₄₇×#525	C₂	semidirect
26. C₂²×#10625350	C₂²	semidirect
28. C₂³×Dic₉₄	C₂²	semidirect
29. #15689874	C₂²	semidirect
30. #15689868	C₂²	semidirect
31. #15689843	C₂²	semidirect
32. #15689830	C₂²	semidirect
33. #15689827	C₂²	semidirect
34. #15689819	C₂²	semidirect
35. #15689816	C₂²	semidirect
36. #15689813	C₂²	semidirect
37. D₄×Dic₉₄	C₂²	semidirect
38. #15689782	C₂²	semidirect
39. #15689782	C₂²	semidirect
40. #15689778	C₂²	semidirect
41. #15689744	C₂²	semidirect
42. #15689741	C₂²	semidirect
43. #15689735	C₂²	semidirect
44. #15689716	C₂²	semidirect
45. #15689708	C₂²	semidirect
46. #15689708	C₂²	semidirect
47. #15689701	C₂²	semidirect
48. #15689694	C₂²	semidirect
49. C₂×#13094024	C₂²	semidirect
50. C₂×#13094024	C₂²	semidirect
51. C₂×#13094023	C₂²	semidirect
52. C₂×#13094022	C₂²	semidirect
53. C₂×#13094019	C₂²	semidirect
54. C₂×#13094019	C₂²	semidirect
59. C₂×#13094017	C₂²	semidirect
60. C₂×#13094016	C₂²	semidirect
61. C₂×#13094015	C₂²	semidirect
62. C₂×#13094014	C₂²	semidirect
63. C₂×#13094014	C₂²	semidirect
64. C₂×#13094014	C₂²	semidirect
65. C₂×#13094012	C₂²	semidirect
70. C₂×#13094010	C₂²	semidirect
71. #15689634	C₂²	semidirect
75. C₂×#13094006	C₂²	semidirect
76. C₂×#13094006	C₂²	semidirect
79. C₂×#13094005	C₂²	semidirect
88. C₂×#13094003	C₂²	semidirect
89. C₂×#13094003	C₂²	semidirect
90. C₂×#13094003	C₂²	semidirect
91. C₂×#13094003	C₂²	semidirect
92. C₂×#13094002	C₂²	semidirect
93. C₂×#13094002	C₂²	semidirect
94. C₂×#13094002	C₂²	semidirect
97. C₂×#13094001	C₂²	semidirect
98. C₂×#13094001	C₂²	semidirect
99. C₂×#13094000	C₂²	semidirect
102. C₂×#13093998	C₂²	semidirect
107. C₂×#13093996	C₂²	semidirect
111. C₂×C₄×Dic₉₄	C₂²	semidirect
112. C₂×C₄×Dic₉₄	C₂²	semidirect
113. C₂×C₄×Dic₉₄	C₂²	semidirect
114. C₂×#13093989	C₂²	semidirect
115. C₂×C₄×D₁₈₈	C₂²	semidirect
122. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
124. C₂×#13093983	C₂²	semidirect
125. C₂×#13093980	C₂²	semidirect
127. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
129. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
133. C₄₇×#525	C₂²	semidirect
150. C₂×#10625350	C₂³	semidirect
160. C₂²×Dic₉₄	C₂³	semidirect
174. #13094024	C₂³	semidirect
175. #13094024	C₂³	semidirect
176. #13094023	C₂³	semidirect
177. #13094022	C₂³	semidirect
178. #13094019	C₂³	semidirect
179. #13094019	C₂³	semidirect
184. #13094017	C₂³	semidirect
185. #13094016	C₂³	semidirect
186. #13094015	C₂³	semidirect
187. #13094014	C₂³	semidirect
188. #13094014	C₂³	semidirect
189. #13094014	C₂³	semidirect
190. #13094012	C₂³	semidirect
195. #13094010	C₂³	semidirect
199. #13094006	C₂³	semidirect
200. #13094006	C₂³	semidirect
203. #13094005	C₂³	semidirect
212. #13094003	C₂³	semidirect
213. #13094003	C₂³	semidirect
214. #13094003	C₂³	semidirect
215. #13094002	C₂³	semidirect
216. #13094002	C₂³	semidirect
217. #13094002	C₂³	semidirect
220. #13094001	C₂³	semidirect
221. #13094001	C₂³	semidirect
222. #13094000	C₂³	semidirect
225. #13093998	C₂³	semidirect
230. #13093996	C₂³	semidirect
234. C₄×Dic₉₄	C₂³	semidirect
235. C₄×Dic₉₄	C₂³	semidirect
236. C₄×Dic₉₄	C₂³	semidirect
237. #13093989	C₂³	semidirect
238. C₄×D₁₈₈	C₂³	semidirect
245. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
247. #13093983	C₂³	semidirect
248. #13093980	C₂³	semidirect
259. C₂×C₄⋊Dic₄₇	C₂³	semidirect
275. C₄⋊C₄×D₄₇	C₂³	semidirect
684. C₂×#525	D₄₇	semidirect
691. C₂×C₄₇	#3541	semidirect
745. #525	C₂×D₄₇	semidirect
818. C₄₇	C₂×#3541	semidirect
1339. C₂	#20257681	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257681	2
C₂×#15689874	2
C₂×#15689868	2
C₂×#15689843	2
C₂×#15689830	2
C₂×#15689827	2
C₂×#15689819	2
C₂×#15689816	2
C₂×#15689813	2
C₂×D₄×Dic₉₄	2
C₂×#15689782	2
C₂×#15689778	2
C₂×#15689744	2
C₂×#15689741	2
C₂×#15689735	2
C₂×#15689716	2
C₂×#15689708	2
C₂×#15689701	2
C₂×#15689694	2
C₂×#15689634	2
C₂²×#13094003	2
C₂×C₄₇×#525	2
C₂×#3541	47

Subgroups — C2×#20257681 #27123435

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257681 #27123435