Subgroups — C₂×#20257629 #27123520

Order 12032.

7162 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257629	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689874	C₂	1	2	yes	maximal, complemented
3	C₂×#15689872	C₂	1	2	yes	maximal, complemented
4	C₂×#15689815	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689814	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689813	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689807	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#15689802	C₂	1	2	yes	maximal, complemented
9	C₂×#15689800	C₂	1	2	yes	maximal, complemented
10	C₂×#15689788	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×Q₈×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₈×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#15689752	C₂	1	2	yes	maximal, complemented
14	C₂×#15689750	C₂	1	2	yes	maximal, complemented
15	C₂×#15689734	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15689731	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#15689719	C₂	1	2	yes	maximal, complemented
18	C₂×#15689715	C₂	1	2	yes	maximal, complemented
19	C₂×#15689697	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#15689696	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#15689632	C₂	1	1	yes	maximal, characteristic
22	C₂²×#13094000	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₂²⋊Q₈×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₄×Q₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10625350	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₄₇	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic
29	#15689874	C₂²	1	32	yes	complemented
30	#15689872	C₂²	1	32	yes	complemented
31	#15689815	C₂²	1	16	yes	complemented
32	#15689814	C₂²	1	16	yes	complemented
33	#15689813	C₂²	1	16	yes	complemented
34	#15689807	C₂²	1	16	yes	complemented
35	#15689802	C₂²	1	32	yes	complemented
36	#15689800	C₂²	1	32	yes	complemented
37	#15689788	C₂²	1	16	yes	complemented
38	Q₈×C₂²⋊D₄₇	C₂²	1	16	yes	complemented
39	Q₈×C₂²⋊D₄₇	C₂²	1	16	yes	complemented
40	#15689752	C₂²	1	32	yes	complemented
41	#15689750	C₂²	1	32	yes	complemented
42	#15689734	C₂²	1	16	yes	complemented
43	#15689731	C₂²	1	16	yes	complemented
44	#15689719	C₂²	1	32	yes	complemented
45	#15689715	C₂²	1	32	yes	complemented
46	#15689697	C₂²	1	16	yes	complemented
47	#15689696	C₂²	1	16	yes	complemented
48	C₂×#13094023	C₂²	1	2	yes	complemented
49	C₂×#13094023	C₂²	1	2	yes	complemented
50	C₂×#13094022	C₂²	1	2	yes	complemented
51	C₂×#13094022	C₂²	1	2	yes	complemented
52	C₂×#13094022	C₂²	1	2	yes	complemented
53	C₂×#13094022	C₂²	1	1	yes	characteristic, 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	complemented
58	C₂×#13094018	C₂²	1	2	yes	—
59	C₂×#13094018	C₂²	1	2	yes	complemented
60	C₂×#13094017	C₂²	1	2	yes	complemented
61	C₂×#13094017	C₂²	1	2	yes	complemented
62	C₂×#13094016	C₂²	1	2	yes	complemented
63	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13094015	C₂²	1	2	yes	complemented
65	C₂×#13094015	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13094014	C₂²	1	2	yes	complemented
67	C₂×#13094014	C₂²	1	2	yes	complemented
68	C₂×#13094014	C₂²	1	2	yes	complemented
69	C₂×#13094014	C₂²	1	2	yes	complemented
70	C₂×#13094014	C₂²	1	2	yes	complemented
71	C₂×#13094014	C₂²	1	2	yes	complemented
72	C₂×#13094013	C₂²	1	2	yes	—
73	C₂×#13094010	C₂²	1	2	yes	—
74	#15689632	C₂²	1	16	yes	—
75	C₂×#13094009	C₂²	1	1	yes	characteristic
76	C₂×#13094009	C₂²	1	2	yes	—
77	C₂×#13094009	C₂²	1	2	yes	—
78	C₂×#13094008	C₂²	1	2	yes	—
79	C₂×#13094007	C₂²	1	2	yes	—
80	C₂×#13094007	C₂²	1	2	yes	complemented
81	C₂×#13094006	C₂²	1	1	yes	characteristic
82	C₂×#13094006	C₂²	1	2	yes	—
83	C₂×#13094006	C₂²	1	2	yes	complemented
84	C₂×#13094005	C₂²	1	2	yes	—
85	C₂×#13094004	C₂²	1	1	yes	characteristic
86	C₂×#13094003	C₂²	1	2	yes	—
87	C₂×#13094003	C₂²	1	1	yes	characteristic
88	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13094003	C₂²	1	2	yes	complemented
90	C₂×#13094002	C₂²	1	1	yes	characteristic
91	C₂×#13094002	C₂²	1	2	yes	—
92	C₂×#13094002	C₂²	1	2	yes	—
93	C₂×#13094002	C₂²	1	2	yes	complemented
94	C₂×#13094001	C₂²	1	1	yes	characteristic
95	C₂×#13094001	C₂²	1	2	yes	—
96	C₂×#13094000	C₂²	1	2	yes	—
97	C₂×#13094000	C₂²	1	2	yes	—
98	C₂×#13094000	C₂²	1	1	yes	characteristic
99	C₂×#13094000	C₂²	1	1	yes	characteristic
100	C₂×#13094000	C₂²	1	1	yes	characteristic
101	C₂×#13094000	C₂²	1	1	yes	characteristic
102	C₂×#13094000	C₂²	1	1	yes	characteristic
103	C₂×#13094000	C₂²	1	2	yes	—
104	C₂×#13094000	C₂²	1	16	yes	complemented
105	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13094000	C₂²	1	2	yes	complemented
107	C₂×#13094000	C₂²	1	1	yes	characteristic, complemented
108	C₂²⋊Q₈×D₄₇	C₂²	1	16	yes	complemented
109	C₂×#13093997	C₂²	1	1	yes	characteristic
110	C₂×#13093996	C₂²	1	1	yes	characteristic
111	C₂×#13093994	C₂²	1	1	yes	characteristic
112	C₂×#13093992	C₂²	1	1	yes	characteristic
113	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
114	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
117	C₂×#13093986	C₂²	1	2	yes	—
118	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
119	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
120	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
121	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
122	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13093982	C₂²	1	2	yes	—
124	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13093981	C₂²	1	2	yes	—
126	C₂×#13093981	C₂²	1	1	yes	characteristic
127	C₂×#13093980	C₂²	1	2	yes	—
128	C₂×#13093980	C₂²	1	2	yes	—
129	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
130	C₂²×Dic₄₇⋊C₄	C₂²	1	2	yes	—
131	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	—
132	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
133	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
134	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
135	C₂³×Q₈×C₄₇	C₂²	1	1	yes	characteristic
136	C₂³×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
137	D₄×Q₈×C₄₇	C₂²	1	16	yes	complemented
138	C₂×C₄⋊Q₈×C₄₇	C₂²	1	2	yes	complemented
139	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	—
141	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
142	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	2	yes	complemented
144	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
146	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
147	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
148	C₂×#10625350	—	4	4	no	—
149	C₂×#10625350	C₂³	1	8	yes	—
150	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
151	C₂²×Dic₉₄	C₂³	1	2	yes	—
152	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
153	C₂²×Dic₉₄	C₂³	1	2	yes	—
154	C₂×Q₈×D₄₇	—	4	4	no	—
155	C₂×Q₈×D₄₇	—	4	4	no	—
156	C₂×Q₈×D₄₇	C₂³	1	8	yes	—
157	C₂×Q₈×D₄₇	C₂³	1	8	yes	complemented
158	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
159	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
160	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
164	C₂³×Dic₄₇	C₂³	1	2	yes	—
165	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
166	C₂²×C₄×D₄₇	—	4	4	no	—
167	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
168	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
172	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
174	C₂²×C₄×D₄₇	C₂³	1	8	yes	—
175	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
176	#13094023	C₂³	1	16	yes	complemented
177	#13094023	C₂³	1	16	yes	complemented
178	#13094022	C₂³	1	8	yes	complemented
179	#13094022	C₂³	1	16	yes	complemented
180	#13094022	C₂³	1	16	yes	complemented
181	#13094022	C₂³	1	16	yes	complemented
182	#13094019	C₂³	1	16	yes	—
183	#13094019	C₂³	1	16	yes	—
184	#13094019	C₂³	1	16	yes	—
185	#13094019	C₂³	1	16	yes	complemented
186	#13094018	C₂³	1	16	yes	—
187	#13094018	C₂³	1	16	yes	complemented
188	#13094017	C₂³	1	16	yes	complemented
189	#13094017	C₂³	1	16	yes	complemented
190	#13094016	C₂³	1	16	yes	complemented
191	#13094016	C₂³	1	8	yes	complemented
192	#13094015	C₂³	1	8	yes	complemented
193	#13094015	C₂³	1	16	yes	complemented
194	#13094014	C₂³	1	16	yes	complemented
195	#13094014	C₂³	1	16	yes	complemented
196	#13094014	C₂³	1	16	yes	complemented
197	#13094014	C₂³	1	16	yes	complemented
198	#13094014	C₂³	1	16	yes	complemented
199	#13094014	C₂³	1	16	yes	complemented
200	#13094013	C₂³	1	16	yes	—
201	#13094010	C₂³	1	16	yes	—
202	#13094009	C₂³	1	16	yes	—
203	#13094009	C₂³	1	16	yes	—
204	#13094009	C₂³	1	8	yes	—
205	#13094008	C₂³	1	16	yes	—
206	#13094007	C₂³	1	16	yes	—
207	#13094007	C₂³	1	16	yes	complemented
208	#13094006	C₂³	1	16	yes	—
209	#13094006	C₂³	1	8	yes	—
210	#13094006	C₂³	1	16	yes	complemented
211	#13094005	C₂³	1	16	yes	—
212	#13094004	C₂³	1	8	yes	—
213	#13094003	C₂³	1	16	yes	—
214	#13094003	C₂³	1	8	yes	—
215	#13094003	C₂³	1	8	yes	complemented
216	#13094003	C₂³	1	16	yes	complemented
217	#13094002	C₂³	1	8	yes	—
218	#13094002	C₂³	1	16	yes	—
219	#13094002	C₂³	1	16	yes	—
220	#13094002	C₂³	1	16	yes	complemented
221	#13094001	C₂³	1	8	yes	—
222	#13094001	C₂³	1	16	yes	—
223	#13094000	C₂³	1	8	yes	—
224	#13094000	C₂³	1	8	yes	—
225	#13094000	C₂³	1	8	yes	—
226	#13094000	C₂³	1	16	yes	—
227	#13094000	C₂³	1	16	yes	—
228	#13094000	C₂³	1	8	yes	—
229	#13094000	C₂³	1	8	yes	—
230	#13094000	C₂³	1	16	yes	—
231	#13094000	C₂³	1	8	yes	complemented
232	#13094000	C₂³	1	16	yes	complemented
233	#13094000	C₂³	1	8	yes	complemented
234	#13093997	C₂³	1	8	yes	—
235	#13093996	C₂³	1	8	yes	—
236	#13093994	C₂³	1	8	yes	—
237	#13093992	C₂³	1	8	yes	—
238	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
239	Q₈×Dic₄₇	C₂³	1	8	yes	complemented
240	C₄×Dic₉₄	C₂³	1	8	yes	complemented
241	C₄×D₁₈₈	C₂³	1	8	yes	—
242	#13093986	C₂³	1	16	yes	—
243	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
244	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
245	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
246	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
247	#13093983	C₂³	1	8	yes	complemented
248	#13093982	C₂³	1	16	yes	—
249	#13093982	C₂³	1	8	yes	complemented
250	#13093981	C₂³	1	8	yes	—
251	#13093981	C₂³	1	16	yes	—
252	#13093980	C₂³	1	16	yes	—
253	#13093980	C₂³	1	16	yes	—
254	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	—
255	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
260	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
264	C₂×Dic₄₇⋊C₄	C₂³	1	16	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	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
282	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
285	C₄⋊C₄×D₄₇	C₂³	1	16	yes	—
286	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
287	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
292	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	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	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²⋊C₄×D₄₇	C₂³	1	16	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	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
313	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
315	C₂²×Q₈×C₄₇	—	4	4	no	—
316	C₂²×Q₈×C₄₇	—	4	4	no	—
317	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
318	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
319	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
320	C₂²×Q₈×C₄₇	C₂³	1	8	yes	—
321	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
322	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
323	C₂²×Q₈×C₄₇	C₂³	1	8	yes	complemented
324	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
328	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
329	C₄⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
330	C₄⋊Q₈×C₄₇	C₂³	1	16	yes	complemented
331	C₂²⋊Q₈×C₄₇	C₂³	1	16	yes	—
332	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
333	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
334	C₂²⋊Q₈×C₄₇	C₂³	1	16	yes	complemented
335	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
336	C₄×D₄×C₄₇	C₂³	1	16	yes	—
337	C₄×D₄×C₄₇	C₂³	1	8	yes	—
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
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	2	yes	—
349	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
351	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
352	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
353	C₂³×D₄₇	—	2	4	no	—
354	C₂³×D₄₇	—	2	4	no	—
355	C₂³×D₄₇	—	4	2	no	—
356	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
357	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
358	C₂³×D₄₇	C₂⁴	1	4	yes	—
359	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₄₇	—	2	4	no	—
361	C₂×Q₈×C₄₇	—	2	4	no	—
362	C₂×Q₈×C₄₇	—	2	4	no	—
363	C₂×Q₈×C₄₇	—	4	4	no	—
364	C₂×Q₈×C₄₇	—	4	4	no	—
365	C₂×Q₈×C₄₇	—	4	16	no	—
366	C₂×Q₈×C₄₇	—	4	16	no	—
367	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
368	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
369	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
370	C₂×Q₈×C₄₇	C₂⁴	1	8	yes	—
371	C₂×Q₈×C₄₇	C₂⁴	1	8	yes	—
372	C₂×D₄×C₄₇	—	2	4	no	—
373	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
374	C₂²×C₄×C₄₇	—	2	4	no	—
375	C₂²×C₄×C₄₇	—	2	4	no	—
376	C₂²×C₄×C₄₇	—	4	4	no	—
377	C₂²×C₄×C₄₇	—	4	4	no	—
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
387	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
389	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
390	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₂²⋊D₄₇	—	2	4	no	—
392	C₂×C₂²⋊D₄₇	—	2	4	no	—
393	C₂×C₂²⋊D₄₇	—	4	2	no	—
394	C₂×C₂²⋊D₄₇	—	4	2	no	—
395	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
396	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
397	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
398	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
399	C₂²×Dic₄₇	—	2	8	no	—
400	C₂²×Dic₄₇	—	4	2	no	—
401	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
404	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
405	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
406	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
408	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
409	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
412	Q₈×D₄₇	—	4	16	no	—
413	Q₈×D₄₇	—	4	16	no	—
414	#10625350	—	4	16	no	—
415	C₂×D₁₈₈	—	2	4	no	—
416	C₂×D₁₈₈	—	4	2	no	—
417	C₂×D₁₈₈	C₂⁴	1	4	yes	—
418	C₂×D₁₈₈	C₂⁴	1	4	yes	—
419	C₂×C₄×D₄₇	—	2	8	no	—
420	C₂×C₄×D₄₇	—	2	4	no	—
421	C₂×C₄×D₄₇	—	2	4	no	—
422	C₂×C₄×D₄₇	—	2	4	no	—
423	C₂×C₄×D₄₇	—	4	16	no	—
424	C₂×C₄×D₄₇	—	4	2	no	—
425	C₂×C₄×D₄₇	—	4	2	no	—
426	C₂×C₄×D₄₇	—	4	4	no	—
427	C₂×C₄×D₄₇	—	4	4	no	—
428	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
429	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
430	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
431	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
432	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
433	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
434	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
435	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
436	C₂×Dic₉₄	—	2	4	no	—
437	C₂×Dic₉₄	—	4	4	no	—
438	C₂×Dic₉₄	—	4	4	no	—
439	C₂×Dic₉₄	—	4	2	no	—
440	C₂×Dic₉₄	C₂⁴	1	4	yes	—
441	C₂×Dic₉₄	C₂⁴	1	8	yes	—
442	C₂×Dic₉₄	C₂⁴	1	4	yes	—
443	C₂×Dic₉₄	C₂⁴	1	8	yes	—
444	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
445	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
446	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
447	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
448	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
449	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
450	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
451	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
452	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
453	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
454	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
455	C₄²×C₄₇	C₂⁴	1	4	yes	—
456	C₄²×C₄₇	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
458	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
459	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
460	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
461	C₂²⋊Dic₄₇	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	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
468	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
469	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
470	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
471	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
472	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
474	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
477	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
478	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
479	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
480	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
481	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
482	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
483	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
484	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
485	C₄⋊Dic₄₇	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	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
491	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
492	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
493	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
494	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
495	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
496	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
497	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
498	Dic₄₇⋊C₄	C₂⁴	1	4	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	4	yes	—
504	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
505	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
506	C₄×Dic₄₇	C₂⁴	1	8	yes	—
507	C₄×Dic₄₇	C₂⁴	1	8	yes	—
508	C₄×Dic₄₇	C₂⁴	1	8	yes	—
509	C₄×Dic₄₇	C₂⁴	1	8	yes	—
510	C₄×Dic₄₇	C₂⁴	1	4	yes	—
511	C₄×Dic₄₇	C₂⁴	1	8	yes	—
512	C₂³×C₄₇	—	2	2	no	—
513	C₂³×C₄₇	—	2	2	no	—
514	C₂³×C₄₇	—	2	2	no	—
515	C₂³×C₄₇	—	2	2	no	—
516	C₂³×C₄₇	—	2	2	no	—
517	C₂³×C₄₇	2₋¹⁺⁴	1	4	yes	—
518	C₂³×C₄₇	C₂⁵	1	2	yes	—
519	C₂³×C₄₇	C₂⁵	1	2	yes	—
520	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
521	C₂²×D₄₇	—	2	2	no	—
522	C₂²×D₄₇	—	2	2	no	—
523	C₂²×D₄₇	—	2	2	no	—
524	C₂²×D₄₇	—	2	2	no	—
525	C₂²×D₄₇	—	2	2	no	—
526	C₂²×D₄₇	—	2	2	no	—
527	C₂²×D₄₇	—	2	2	no	—
528	C₂²×D₄₇	—	2	8	no	—
529	C₂²×D₄₇	—	2	2	no	—
530	C₂²×D₄₇	—	2	8	no	—
531	C₂²×D₄₇	—	4	4	no	—
532	C₂²×D₄₇	—	4	16	no	—
533	C₂²×D₄₇	2₋¹⁺⁴	1	4	yes	—
534	C₂²×D₄₇	C₂⁵	1	2	yes	—
535	C₂²×D₄₇	C₂⁵	1	2	yes	—
536	C₂²×D₄₇	C₂⁵	1	2	yes	—
537	Q₈×C₄₇	—	2	8	no	—
538	Q₈×C₄₇	—	2	8	no	—
539	Q₈×C₄₇	—	2	8	no	—
540	Q₈×C₄₇	—	4	8	no	—
541	Q₈×C₄₇	—	4	8	no	—
542	D₄×C₄₇	—	2	8	no	—
543	C₂×C₄×C₄₇	—	2	4	no	—
544	C₂×C₄×C₄₇	—	2	4	no	—
545	C₂×C₄×C₄₇	—	2	2	no	—
546	C₂×C₄×C₄₇	—	2	2	no	—
547	C₂×C₄×C₄₇	—	2	4	no	—
548	C₂×C₄×C₄₇	—	2	4	no	—
549	C₂×C₄×C₄₇	—	2	2	no	—
550	C₂×C₄×C₄₇	—	2	2	no	—
551	C₂×C₄×C₄₇	—	2	8	no	—
552	C₂×C₄×C₄₇	—	2	8	no	—
553	C₂×C₄×C₄₇	—	4	8	no	—
554	C₂×C₄×C₄₇	—	4	8	no	—
555	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
556	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
557	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
558	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
559	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
560	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
561	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
562	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
563	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
564	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
565	C₂²⋊D₄₇	—	2	8	no	—
566	C₂²⋊D₄₇	—	2	8	no	—
567	C₂²⋊D₄₇	—	4	4	no	—
568	C₂²⋊D₄₇	—	4	4	no	—
569	C₂×Dic₄₇	—	2	4	no	—
570	C₂×Dic₄₇	—	2	2	no	—
571	C₂×Dic₄₇	—	2	2	no	—
572	C₂×Dic₄₇	—	2	2	no	—
573	C₂×Dic₄₇	—	2	4	no	—
574	C₂×Dic₄₇	—	2	16	no	—
575	C₂×Dic₄₇	—	2	4	no	—
576	C₂×Dic₄₇	—	2	4	no	—
577	C₂×Dic₄₇	—	2	2	no	—
578	C₂×Dic₄₇	—	2	2	no	—
579	C₂×Dic₄₇	—	4	4	no	—
580	C₂×Dic₄₇	C₂⁵	1	2	yes	—
581	C₂×Dic₄₇	C₂⁵	1	2	yes	—
582	C₂×Dic₄₇	C₂⁵	1	4	yes	—
583	C₂×Dic₄₇	C₂⁵	1	4	yes	—
584	C₂×Dic₄₇	C₂⁵	1	4	yes	—
585	C₂×Dic₄₇	C₂⁵	1	2	yes	—
586	C₂×Dic₄₇	C₂⁵	1	4	yes	—
587	C₂×Dic₄₇	C₂⁵	1	2	yes	—
588	C₂×Dic₄₇	C₂⁵	1	2	yes	—
589	D₁₈₈	—	2	8	no	—
590	D₁₈₈	—	4	4	no	—
591	C₄×D₄₇	—	2	16	no	—
592	C₄×D₄₇	—	2	8	no	—
593	C₄×D₄₇	—	2	8	no	—
594	C₄×D₄₇	—	2	8	no	—
595	C₄×D₄₇	—	4	4	no	—
596	C₄×D₄₇	—	4	4	no	—
597	C₄×D₄₇	—	4	8	no	—
598	C₄×D₄₇	—	4	8	no	—
599	Dic₉₄	—	2	8	no	—
600	Dic₉₄	—	4	4	no	—
601	Dic₉₄	—	4	8	no	—
602	Dic₉₄	—	4	8	no	—
603	C₂×#3538	—	47	1	no	maximal, Sylow
604	C₂²×C₄₇	—	2	2	no	—
605	C₂²×C₄₇	—	2	2	no	—
606	C₂²×C₄₇	—	2	8	no	—
607	C₂²×C₄₇	—	2	2	no	—
608	C₂²×C₄₇	—	2	2	no	—
609	C₂²×C₄₇	—	2	2	no	—
610	C₂²×C₄₇	—	4	4	no	—
611	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
612	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
613	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
614	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
615	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
616	C₂×D₄₇	—	2	2	no	—
617	C₂×D₄₇	—	2	2	no	—
618	C₂×D₄₇	—	2	8	no	—
619	C₂×D₄₇	—	2	2	no	—
620	C₂×D₄₇	—	2	2	no	—
621	C₂×D₄₇	—	2	2	no	—
622	C₂×D₄₇	—	2	2	no	—
623	C₂×D₄₇	—	2	2	no	—
624	C₂×D₄₇	—	2	2	no	—
625	C₂×D₄₇	—	4	16	no	—
626	C₂×D₄₇	—	4	4	no	—
627	C₂×D₄₇	—	4	4	no	—
628	C₂×D₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
629	C₄×C₄₇	—	2	4	no	—
630	C₄×C₄₇	—	2	4	no	—
631	C₄×C₄₇	—	2	2	no	—
632	C₄×C₄₇	—	2	2	no	—
633	C₄×C₄₇	—	2	4	no	—
634	C₄×C₄₇	—	2	4	no	—
635	C₄×C₄₇	—	2	2	no	—
636	C₄×C₄₇	—	2	2	no	—
637	C₄×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
638	Dic₄₇	—	2	4	no	—
639	Dic₄₇	—	2	2	no	—
640	Dic₄₇	—	2	2	no	—
641	Dic₄₇	—	2	2	no	—
642	Dic₄₇	—	2	4	no	—
643	Dic₄₇	—	2	4	no	—
644	Dic₄₇	—	2	4	no	—
645	Dic₄₇	—	2	2	no	—
646	Dic₄₇	—	2	2	no	—
647	#3538	—	47	32	no	—
648	C₂×#563	—	47	2	no	—
649	C₂×#563	—	47	2	no	—
650	C₂×#552	—	47	1	no	—
651	C₂×#552	—	47	1	no	—
652	C₂×#552	—	47	1	no	—
653	C₂×#552	—	47	1	no	—
654	C₂×#551	—	47	2	no	—
655	C₂×#551	—	47	2	no	—
656	C₂×D₄×Q₈	—	47	1	no	—
657	C₂×D₄×Q₈	—	47	1	no	—
658	C₂×D₄×Q₈	—	47	1	no	—
659	C₂×D₄×Q₈	D₄₇	1	1	yes	characteristic, complemented
660	C₂×#544	—	47	2	no	—
661	C₂×#544	—	47	2	no	—
662	C₂×#541	—	47	1	no	—
663	C₂×#541	—	47	1	no	—
664	C₂×#539	—	47	2	no	—
665	C₂×#539	—	47	2	no	—
666	C₂×#536	—	47	1	no	—
667	C₂×#536	—	47	1	no	—
668	C₂×#525	—	47	1	no	—
669	C₂²×C₂²⋊Q₈	—	47	1	no	—
670	C₂²×C₂²⋊Q₈	—	47	1	no	—
671	C₂×C₄₇	—	2	4	no	—
672	C₂×C₄₇	—	4	2	no	—
673	C₂×C₄₇	#3538	1	4	yes	complemented
674	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
675	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
676	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
677	D₄₇	—	2	4	no	—
678	D₄₇	—	4	2	no	—
679	D₄₇	—	4	2	no	—
680	C₂²×#41	—	47	1	no	—
681	C₂³×Q₈	—	47	1	no	—
682	C₂³×Q₈	—	47	1	no	—
683	C₂³×Q₈	C₂×D₄₇	1	1	yes	characteristic
684	C₂³×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
685	C₂⁴×C₄	—	47	1	no	—
686	#563	—	47	32	no	—
687	#563	—	47	32	no	—
688	#552	—	47	16	no	—
689	#552	—	47	16	no	—
690	#552	—	47	16	no	—
691	#552	—	47	16	no	—
692	#551	—	47	32	no	—
693	#551	—	47	32	no	—
694	D₄×Q₈	—	47	16	no	—
695	D₄×Q₈	—	47	16	no	—
696	D₄×Q₈	—	47	16	no	—
697	D₄×Q₈	C₂×D₄₇	1	16	yes	complemented
698	#544	—	47	32	no	—
699	#544	—	47	32	no	—
700	#541	—	47	16	no	—
701	#541	—	47	16	no	—
702	#539	—	47	32	no	—
703	#539	—	47	32	no	—
704	#536	—	47	16	no	—
705	#536	—	47	16	no	—
706	C₂×C₄⋊Q₈	—	47	2	no	—
707	C₂×C₄⋊Q₈	—	47	1	no	—
708	C₂×C₄⋊Q₈	—	47	2	no	—
709	C₂×C₄⋊Q₈	—	47	2	no	—
710	C₂×C₄⋊Q₈	—	47	2	no	—
711	C₂×C₄⋊Q₈	—	47	2	no	—
712	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
713	C₂×C₄⋊Q₈	C₂×D₄₇	1	2	yes	complemented
714	C₂×#126	—	47	2	no	—
715	C₂×#126	—	47	2	no	—
716	C₂×#126	—	47	2	no	—
717	C₂×#126	—	47	2	no	—
718	C₂×#126	—	47	2	no	—
719	C₂×#126	—	47	2	no	—
720	C₂×#126	—	47	2	no	—
721	C₂×#126	—	47	2	no	—
722	C₂×#125	—	47	2	no	—
723	C₂×#125	—	47	2	no	—
724	C₂×#125	—	47	2	no	—
725	C₂×#125	—	47	1	no	—
726	C₂×#125	—	47	2	no	—
727	C₂×#125	—	47	2	no	—
728	C₂×#125	—	47	2	no	—
729	C₂×#125	—	47	2	no	—
730	C₂×#125	—	47	2	no	—
731	C₂×#125	—	47	1	no	—
732	C₂×#124	—	47	2	no	—
733	C₂×#124	—	47	2	no	—
734	#525	—	47	16	no	—
735	C₂×#123	—	47	2	no	—
736	C₂×#123	—	47	2	no	—
737	C₂×#123	—	47	2	no	—
738	C₂×#123	—	47	1	no	—
739	C₂×#123	—	47	2	no	—
740	C₂×#123	—	47	2	no	—
741	C₂×#123	—	47	1	no	—
742	C₂×#123	—	47	2	no	—
743	C₂×#123	—	47	2	no	—
744	C₂×#123	—	47	2	no	—
745	C₂×C₂²⋊Q₈	—	47	1	no	—
746	C₂×C₂²⋊Q₈	—	47	1	no	—
747	C₂×C₂²⋊Q₈	—	47	1	no	—
748	C₂×C₂²⋊Q₈	—	47	2	no	—
749	C₂×C₂²⋊Q₈	—	47	1	no	—
750	C₂×C₂²⋊Q₈	—	47	1	no	—
751	C₂×C₂²⋊Q₈	—	47	2	no	—
752	C₂×C₂²⋊Q₈	—	47	16	no	—
753	C₂×C₂²⋊Q₈	—	47	1	no	—
754	C₂×C₂²⋊Q₈	—	47	1	no	—
755	C₂×C₂²⋊Q₈	—	47	2	no	—
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	2	no	—
761	C₂×C₂²⋊Q₈	—	47	16	no	—
762	C₂×C₂²⋊Q₈	—	47	1	no	—
763	C₂×C₂²⋊Q₈	—	47	2	no	—
764	C₂×C₂²⋊Q₈	—	47	1	no	—
765	C₂×C₂²⋊Q₈	—	47	2	no	—
766	C₂×C₂²⋊Q₈	—	47	2	no	—
767	C₂×C₂²⋊Q₈	—	47	2	no	—
768	C₂×C₂²⋊Q₈	—	47	1	no	—
769	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
770	C₂×C₂²⋊Q₈	C₂×D₄₇	1	2	yes	—
771	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
772	C₂×C₂²⋊Q₈	C₂×D₄₇	1	2	yes	complemented
773	C₂×#121	—	47	1	no	—
774	C₂×#121	—	47	1	no	—
775	C₂×#120	—	47	1	no	—
776	C₂×#120	—	47	1	no	—
777	C₂×C₄×Q₈	—	47	1	no	—
778	C₂×C₄×Q₈	—	47	1	no	—
779	C₂×C₄×Q₈	—	47	1	no	—
780	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
781	C₂×C₄×D₄	—	47	1	no	—
782	C₂×C₄×D₄	—	47	1	no	—
783	C₂×C₄×D₄	—	47	2	no	—
784	C₂×C₄×D₄	—	47	2	no	—
785	C₂×C₄×D₄	—	47	2	no	—
786	C₂×C₄×D₄	—	47	1	no	—
787	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
788	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
789	C₂×#117	—	47	1	no	—
790	C₂×#117	—	47	2	no	—
791	C₂×#117	—	47	1	no	—
792	C₂×#117	—	47	2	no	—
793	C₂×#117	—	47	2	no	—
794	C₂×#117	—	47	1	no	—
795	C₂×#117	—	47	2	no	—
796	C₂²×C₄⋊C₄	—	47	2	no	—
797	C₂²×C₄⋊C₄	—	47	1	no	—
798	C₂²×C₄⋊C₄	—	47	2	no	—
799	C₂²×C₄⋊C₄	—	47	1	no	—
800	C₂²×C₂²⋊C₄	—	47	2	no	—
801	C₂²×C₂²⋊C₄	—	47	2	no	—
802	C₄₇	C₂×#3538	1	1	yes	characteristic, complemented, Sylow
803	C₂⁵	—	47	1	no	—
804	C₂×#41	—	47	8	no	—
805	C₂×#41	—	188	4	no	—
806	C₂²×Q₈	—	4	4	no	—
807	C₂²×Q₈	—	4	4	no	—
808	C₂²×Q₈	—	47	8	no	—
809	C₂²×Q₈	—	47	8	no	—
810	C₂²×Q₈	—	47	1	no	—
811	C₂²×Q₈	—	47	2	no	—
812	C₂²×Q₈	—	47	2	no	—
813	C₂²×Q₈	—	47	1	no	—
814	C₂²×Q₈	—	188	4	no	—
815	C₂²×Q₈	—	188	4	no	—
816	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
817	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
818	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
819	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
820	C₂²×Q₈	C₂²×D₄₇	1	8	yes	—
821	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
822	C₂²×Q₈	C₂²×D₄₇	1	8	yes	complemented
823	C₂²×D₄	—	47	1	no	—
824	C₂²×D₄	—	47	1	no	—
825	C₂²×D₄	—	47	1	no	—
826	C₂²×D₄	—	47	1	no	—
827	C₂²×D₄	—	47	1	no	—
828	C₂²×D₄	—	47	1	no	—
829	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
830	C₂³×C₄	—	47	2	no	—
831	C₂³×C₄	—	47	1	no	—
832	C₂³×C₄	—	47	2	no	—
833	C₂³×C₄	—	47	1	no	—
834	C₂³×C₄	—	47	1	no	—
835	C₂³×C₄	—	47	1	no	—
836	C₂³×C₄	—	47	2	no	—
837	C₂³×C₄	—	47	1	no	—
838	C₂³×C₄	—	47	2	no	—
839	C₂³×C₄	—	47	1	no	—
840	C₂³×C₄	—	47	8	no	—
841	C₂³×C₄	—	188	4	no	—
842	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
843	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
844	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
845	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
846	C₄⋊Q₈	—	47	16	no	—
847	C₄⋊Q₈	—	47	8	no	—
848	C₄⋊Q₈	—	47	16	no	—
849	C₄⋊Q₈	—	47	16	no	—
850	C₄⋊Q₈	—	47	16	no	—
851	C₄⋊Q₈	—	47	16	no	—
852	C₄⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
853	C₄⋊Q₈	C₂²×D₄₇	1	16	yes	complemented
854	#126	—	47	16	no	—
855	#126	—	47	16	no	—
856	#126	—	47	16	no	—
857	#126	—	47	16	no	—
858	#126	—	47	16	no	—
859	#126	—	47	16	no	—
860	#126	—	47	16	no	—
861	#126	—	47	16	no	—
862	#125	—	47	16	no	—
863	#125	—	47	16	no	—
864	#125	—	47	16	no	—
865	#125	—	47	8	no	—
866	#125	—	47	16	no	—
867	#125	—	47	16	no	—
868	#125	—	47	16	no	—
869	#125	—	47	16	no	—
870	#125	—	47	16	no	—
871	#125	—	47	8	no	—
872	#124	—	47	16	no	—
873	#124	—	47	16	no	—
874	#123	—	47	16	no	—
875	#123	—	47	16	no	—
876	#123	—	47	16	no	—
877	#123	—	47	8	no	—
878	#123	—	47	16	no	—
879	#123	—	47	16	no	—
880	#123	—	47	8	no	—
881	#123	—	47	16	no	—
882	#123	—	47	16	no	—
883	#123	—	47	16	no	—
884	C₂²⋊Q₈	—	47	8	no	—
885	C₂²⋊Q₈	—	47	8	no	—
886	C₂²⋊Q₈	—	47	8	no	—
887	C₂²⋊Q₈	—	47	16	no	—
888	C₂²⋊Q₈	—	47	8	no	—
889	C₂²⋊Q₈	—	47	8	no	—
890	C₂²⋊Q₈	—	47	16	no	—
891	C₂²⋊Q₈	—	47	8	no	—
892	C₂²⋊Q₈	—	47	8	no	—
893	C₂²⋊Q₈	—	47	16	no	—
894	C₂²⋊Q₈	—	47	16	no	—
895	C₂²⋊Q₈	—	47	8	no	—
896	C₂²⋊Q₈	—	47	8	no	—
897	C₂²⋊Q₈	—	47	16	no	—
898	C₂²⋊Q₈	—	47	16	no	—
899	C₂²⋊Q₈	—	47	8	no	—
900	C₂²⋊Q₈	—	47	16	no	—
901	C₂²⋊Q₈	—	47	8	no	—
902	C₂²⋊Q₈	—	47	16	no	—
903	C₂²⋊Q₈	—	47	16	no	—
904	C₂²⋊Q₈	—	47	16	no	—
905	C₂²⋊Q₈	—	47	8	no	—
906	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	—
907	C₂²⋊Q₈	C₂²×D₄₇	1	16	yes	—
908	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
909	C₂²⋊Q₈	C₂²×D₄₇	1	16	yes	complemented
910	#121	—	47	8	no	—
911	#121	—	47	8	no	—
912	#120	—	47	8	no	—
913	#120	—	47	8	no	—
914	C₄×Q₈	—	47	8	no	—
915	C₄×Q₈	—	47	8	no	—
916	C₄×Q₈	—	47	8	no	—
917	C₄×Q₈	C₂²×D₄₇	1	8	yes	complemented
918	C₄×D₄	—	47	8	no	—
919	C₄×D₄	—	47	8	no	—
920	C₄×D₄	—	47	16	no	—
921	C₄×D₄	—	47	16	no	—
922	C₄×D₄	—	47	16	no	—
923	C₄×D₄	—	47	8	no	—
924	C₄×D₄	C₂²×D₄₇	1	8	yes	—
925	C₄×D₄	C₂²×D₄₇	1	16	yes	—
926	#117	—	47	8	no	—
927	#117	—	47	8	no	—
928	#117	—	47	16	no	—
929	#117	—	47	16	no	—
930	#117	—	47	16	no	—
931	#117	—	47	8	no	—
932	#117	—	47	16	no	—
933	C₂×C₄⋊C₄	—	47	1	no	—
934	C₂×C₄⋊C₄	—	47	1	no	—
935	C₂×C₄⋊C₄	—	47	1	no	—
936	C₂×C₄⋊C₄	—	47	2	no	—
937	C₂×C₄⋊C₄	—	47	2	no	—
938	C₂×C₄⋊C₄	—	47	2	no	—
939	C₂×C₄⋊C₄	—	47	2	no	—
940	C₂×C₄⋊C₄	—	47	2	no	—
941	C₂×C₄⋊C₄	—	47	2	no	—
942	C₂×C₄⋊C₄	—	47	2	no	—
943	C₂×C₄⋊C₄	—	47	2	no	—
944	C₂×C₄⋊C₄	—	47	2	no	—
945	C₂×C₄⋊C₄	—	47	16	no	—
946	C₂×C₄⋊C₄	—	47	8	no	—
947	C₂×C₄⋊C₄	—	47	1	no	—
948	C₂×C₄⋊C₄	—	47	1	no	—
949	C₂×C₄⋊C₄	—	47	2	no	—
950	C₂×C₄⋊C₄	—	47	2	no	—
951	C₂×C₄⋊C₄	—	47	2	no	—
952	C₂×C₄⋊C₄	—	47	2	no	—
953	C₂×C₄⋊C₄	—	47	2	no	—
954	C₂×C₄⋊C₄	—	47	2	no	—
955	C₂×C₄⋊C₄	—	47	2	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	1	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	16	no	—
965	C₂×C₄⋊C₄	—	47	8	no	—
966	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
968	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
969	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
970	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
971	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
973	C₂×C₂²⋊C₄	—	47	2	no	—
974	C₂×C₂²⋊C₄	—	47	1	no	—
975	C₂×C₂²⋊C₄	—	47	2	no	—
976	C₂×C₂²⋊C₄	—	47	1	no	—
977	C₂×C₂²⋊C₄	—	47	2	no	—
978	C₂×C₂²⋊C₄	—	47	2	no	—
979	C₂×C₂²⋊C₄	—	47	2	no	—
980	C₂×C₂²⋊C₄	—	47	2	no	—
981	C₂×C₂²⋊C₄	—	47	2	no	—
982	C₂×C₂²⋊C₄	—	47	2	no	—
983	C₂×C₂²⋊C₄	—	47	2	no	—
984	C₂×C₂²⋊C₄	—	47	16	no	—
985	C₂×C₂²⋊C₄	—	47	1	no	—
986	C₂×C₂²⋊C₄	—	47	1	no	—
987	C₂×C₂²⋊C₄	—	47	1	no	—
988	C₂×C₂²⋊C₄	—	47	1	no	—
989	C₂×C₂²⋊C₄	—	47	2	no	—
990	C₂×C₂²⋊C₄	—	47	1	no	—
991	C₂×C₂²⋊C₄	—	47	1	no	—
992	C₂×C₂²⋊C₄	—	47	2	no	—
993	C₂×C₂²⋊C₄	—	47	2	no	—
994	C₂×C₂²⋊C₄	—	47	16	no	—
995	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
999	C₂×C₄²	—	47	2	no	—
1000	C₂×C₄²	—	47	2	no	—
1001	C₂×C₄²	—	47	1	no	—
1002	C₂×C₄²	—	47	2	no	—
1003	C₂×C₄²	—	47	2	no	—
1004	C₂×C₄²	—	47	2	no	—
1005	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
1007	C₂⁴	—	47	1	no	—
1008	C₂⁴	—	47	1	no	—
1009	C₂⁴	—	47	1	no	—
1010	C₂⁴	—	47	4	no	—
1011	C₂⁴	—	94	4	no	—
1012	C₂⁴	—	94	4	no	—
1013	C₂⁴	—	188	2	no	—
1014	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1015	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1016	#41	—	188	16	no	—
1017	C₂×Q₈	—	2	4	no	—
1018	C₂×Q₈	—	2	4	no	—
1019	C₂×Q₈	—	2	4	no	—
1020	C₂×Q₈	—	4	4	no	—
1021	C₂×Q₈	—	4	4	no	—
1022	C₂×Q₈	—	4	16	no	—
1023	C₂×Q₈	—	4	16	no	—
1024	C₂×Q₈	—	47	4	no	—
1025	C₂×Q₈	—	47	8	no	—
1026	C₂×Q₈	—	47	8	no	—
1027	C₂×Q₈	—	47	4	no	—
1028	C₂×Q₈	—	94	4	no	—
1029	C₂×Q₈	—	188	4	no	—
1030	C₂×Q₈	—	188	4	no	—
1031	C₂×Q₈	—	188	2	no	—
1032	C₂×Q₈	—	188	16	no	—
1033	C₂×Q₈	—	188	16	no	—
1034	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1035	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1036	C₂×Q₈	C₂³×D₄₇	1	4	yes	—
1037	C₂×Q₈	C₂³×D₄₇	1	8	yes	—
1038	C₂×Q₈	C₂³×D₄₇	1	8	yes	—
1039	C₂×D₄	—	2	4	no	—
1040	C₂×D₄	—	47	4	no	—
1041	C₂×D₄	—	47	4	no	—
1042	C₂×D₄	—	47	4	no	—
1043	C₂×D₄	—	47	4	no	—
1044	C₂×D₄	—	47	4	no	—
1045	C₂×D₄	—	47	4	no	—
1046	C₂×D₄	—	94	4	no	—
1047	C₂×D₄	—	94	4	no	—
1048	C₂×D₄	—	94	4	no	—
1049	C₂×D₄	—	188	2	no	—
1050	C₂×D₄	—	188	2	no	—
1051	C₂×D₄	—	188	2	no	—
1052	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1053	C₂²×C₄	—	2	4	no	—
1054	C₂²×C₄	—	2	4	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	4	no	—
1057	C₂²×C₄	—	47	8	no	—
1058	C₂²×C₄	—	47	1	no	—
1059	C₂²×C₄	—	47	1	no	—
1060	C₂²×C₄	—	47	2	no	—
1061	C₂²×C₄	—	47	2	no	—
1062	C₂²×C₄	—	47	2	no	—
1063	C₂²×C₄	—	47	1	no	—
1064	C₂²×C₄	—	47	2	no	—
1065	C₂²×C₄	—	47	1	no	—
1066	C₂²×C₄	—	47	1	no	—
1067	C₂²×C₄	—	47	4	no	—
1068	C₂²×C₄	—	47	8	no	—
1069	C₂²×C₄	—	47	4	no	—
1070	C₂²×C₄	—	47	4	no	—
1071	C₂²×C₄	—	47	4	no	—
1072	C₂²×C₄	—	47	8	no	—
1073	C₂²×C₄	—	47	4	no	—
1074	C₂²×C₄	—	47	8	no	—
1075	C₂²×C₄	—	47	4	no	—
1076	C₂²×C₄	—	94	8	no	—
1077	C₂²×C₄	—	94	8	no	—
1078	C₂²×C₄	—	94	4	no	—
1079	C₂²×C₄	—	94	4	no	—
1080	C₂²×C₄	—	94	4	no	—
1081	C₂²×C₄	—	188	16	no	—
1082	C₂²×C₄	—	188	2	no	—
1083	C₂²×C₄	—	188	2	no	—
1084	C₂²×C₄	—	188	4	no	—
1085	C₂²×C₄	—	188	4	no	—
1086	C₂²×C₄	—	188	2	no	—
1087	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1088	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1089	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1092	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1093	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1094	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1096	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1098	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
1099	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1100	C₄⋊C₄	—	47	8	no	—
1101	C₄⋊C₄	—	47	8	no	—
1102	C₄⋊C₄	—	47	8	no	—
1103	C₄⋊C₄	—	47	8	no	—
1104	C₄⋊C₄	—	47	8	no	—
1105	C₄⋊C₄	—	47	8	no	—
1106	C₄⋊C₄	—	47	8	no	—
1107	C₄⋊C₄	—	47	4	no	—
1108	C₄⋊C₄	—	47	4	no	—
1109	C₄⋊C₄	—	47	8	no	—
1110	C₄⋊C₄	—	47	8	no	—
1111	C₄⋊C₄	—	47	8	no	—
1112	C₄⋊C₄	—	47	8	no	—
1113	C₄⋊C₄	—	47	8	no	—
1114	C₄⋊C₄	—	47	8	no	—
1115	C₄⋊C₄	—	47	8	no	—
1116	C₄⋊C₄	—	47	8	no	—
1117	C₄⋊C₄	—	47	4	no	—
1118	C₄⋊C₄	—	47	4	no	—
1119	C₄⋊C₄	—	47	8	no	—
1120	C₄⋊C₄	—	47	4	no	—
1121	C₄⋊C₄	—	47	4	no	—
1122	C₄⋊C₄	—	47	4	no	—
1123	C₄⋊C₄	—	47	8	no	—
1124	C₄⋊C₄	—	47	8	no	—
1125	C₄⋊C₄	—	47	8	no	—
1126	C₄⋊C₄	—	47	4	no	—
1127	C₄⋊C₄	—	47	8	no	—
1128	C₄⋊C₄	—	47	8	no	—
1129	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1130	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1131	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1132	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1133	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1134	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1135	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1136	C₂²⋊C₄	—	47	8	no	—
1137	C₂²⋊C₄	—	47	4	no	—
1138	C₂²⋊C₄	—	47	8	no	—
1139	C₂²⋊C₄	—	47	4	no	—
1140	C₂²⋊C₄	—	47	8	no	—
1141	C₂²⋊C₄	—	47	8	no	—
1142	C₂²⋊C₄	—	47	8	no	—
1143	C₂²⋊C₄	—	47	8	no	—
1144	C₂²⋊C₄	—	47	8	no	—
1145	C₂²⋊C₄	—	47	8	no	—
1146	C₂²⋊C₄	—	47	8	no	—
1147	C₂²⋊C₄	—	47	4	no	—
1148	C₂²⋊C₄	—	47	4	no	—
1149	C₂²⋊C₄	—	47	4	no	—
1150	C₂²⋊C₄	—	47	4	no	—
1151	C₂²⋊C₄	—	47	8	no	—
1152	C₂²⋊C₄	—	47	4	no	—
1153	C₂²⋊C₄	—	47	4	no	—
1154	C₂²⋊C₄	—	47	8	no	—
1155	C₂²⋊C₄	—	47	8	no	—
1156	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1157	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1158	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1159	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1160	C₄²	—	47	8	no	—
1161	C₄²	—	47	8	no	—
1162	C₄²	—	47	4	no	—
1163	C₄²	—	47	8	no	—
1164	C₄²	—	47	8	no	—
1165	C₄²	—	47	8	no	—
1166	C₄²	C₂³×D₄₇	1	4	yes	—
1167	C₄²	C₂³×D₄₇	1	8	yes	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	47	4	no	—
1174	C₂³	—	47	2	no	—
1175	C₂³	—	47	2	no	—
1176	C₂³	—	47	2	no	—
1177	C₂³	—	94	8	no	—
1178	C₂³	—	94	2	no	—
1179	C₂³	—	94	2	no	—
1180	C₂³	—	94	2	no	—
1181	C₂³	—	94	2	no	—
1182	C₂³	—	94	2	no	—
1183	C₂³	—	94	2	no	—
1184	C₂³	—	94	2	no	—
1185	C₂³	—	94	8	no	—
1186	C₂³	—	94	2	no	—
1187	C₂³	—	188	4	no	—
1188	C₂³	—	188	16	no	—
1189	C₂³	#13094072	1	4	yes	—
1190	C₂³	C₂⁴×D₄₇	1	2	yes	—
1191	C₂³	C₂⁴×D₄₇	1	2	yes	—
1192	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1193	Q₈	—	2	8	no	—
1194	Q₈	—	2	8	no	—
1195	Q₈	—	2	8	no	—
1196	Q₈	—	4	8	no	—
1197	Q₈	—	4	8	no	—
1198	Q₈	—	94	8	no	—
1199	Q₈	—	188	8	no	—
1200	Q₈	—	188	8	no	—
1201	Q₈	—	188	4	no	—
1202	D₄	—	2	8	no	—
1203	D₄	—	94	8	no	—
1204	D₄	—	94	8	no	—
1205	D₄	—	94	8	no	—
1206	D₄	—	188	4	no	—
1207	D₄	—	188	4	no	—
1208	D₄	—	188	4	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	4	no	—
1212	C₂×C₄	—	2	4	no	—
1213	C₂×C₄	—	2	4	no	—
1214	C₂×C₄	—	2	4	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	8	no	—
1218	C₂×C₄	—	2	8	no	—
1219	C₂×C₄	—	4	8	no	—
1220	C₂×C₄	—	4	8	no	—
1221	C₂×C₄	—	47	2	no	—
1222	C₂×C₄	—	47	2	no	—
1223	C₂×C₄	—	47	4	no	—
1224	C₂×C₄	—	47	4	no	—
1225	C₂×C₄	—	47	4	no	—
1226	C₂×C₄	—	47	2	no	—
1227	C₂×C₄	—	47	4	no	—
1228	C₂×C₄	—	47	2	no	—
1229	C₂×C₄	—	47	2	no	—
1230	C₂×C₄	—	94	16	no	—
1231	C₂×C₄	—	94	2	no	—
1232	C₂×C₄	—	94	2	no	—
1233	C₂×C₄	—	94	2	no	—
1234	C₂×C₄	—	94	4	no	—
1235	C₂×C₄	—	94	4	no	—
1236	C₂×C₄	—	94	2	no	—
1237	C₂×C₄	—	94	16	no	—
1238	C₂×C₄	—	94	4	no	—
1239	C₂×C₄	—	94	4	no	—
1240	C₂×C₄	—	94	2	no	—
1241	C₂×C₄	—	94	8	no	—
1242	C₂×C₄	—	94	8	no	—
1243	C₂×C₄	—	94	8	no	—
1244	C₂×C₄	—	188	4	no	—
1245	C₂×C₄	—	188	4	no	—
1246	C₂×C₄	—	188	8	no	—
1247	C₂×C₄	—	188	8	no	—
1248	C₂×C₄	—	188	4	no	—
1249	C₂×C₄	#13094069	1	4	yes	—
1250	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1251	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1252	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1253	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1254	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1255	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1257	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1258	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1259	C₂²	—	2	8	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	4	4	no	—
1266	C₂²	—	47	4	no	—
1267	C₂²	—	94	8	no	—
1268	C₂²	—	94	2	no	—
1269	C₂²	—	94	2	no	—
1270	C₂²	—	94	2	no	—
1271	C₂²	—	94	2	no	—
1272	C₂²	—	94	2	no	—
1273	C₂²	—	94	2	no	—
1274	C₂²	—	94	2	no	—
1275	C₂²	—	94	2	no	—
1276	C₂²	—	188	16	no	—
1277	C₂²	—	188	4	no	—
1278	C₂²	—	188	4	no	—
1279	C₂²	C₂×#13094069	1	2	yes	—
1280	C₂²	2₋¹⁺⁴×D₄₇	1	2	yes	—
1281	C₂²	C₂×#13094072	1	4	yes	—
1282	C₂²	C₂×#13094072	1	2	yes	—
1283	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1284	C₄	—	2	2	no	—
1285	C₄	—	2	2	no	—
1286	C₄	—	2	4	no	—
1287	C₄	—	2	4	no	—
1288	C₄	—	2	4	no	—
1289	C₄	—	2	4	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	94	2	no	—
1293	C₄	—	94	2	no	—
1294	C₄	—	94	2	no	—
1295	C₄	—	94	4	no	—
1296	C₄	—	94	4	no	—
1297	C₄	—	94	2	no	—
1298	C₄	—	94	4	no	—
1299	C₄	—	94	4	no	—
1300	C₄	—	94	2	no	—
1301	C₄	C₂×#13094069	1	4	yes	—
1302	C₂	—	2	4	no	—
1303	C₂	—	4	2	no	—
1304	C₂	—	94	4	no	—
1305	C₂	—	188	2	no	—
1306	C₂	—	188	2	no	—
1307	C₂	#20257629	1	4	yes	direct product factor
1308	C₂	C₂²×#13094069	1	1	yes	characteristic
1309	C₂	C₂×2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1310	C₂	C₂²×#13094072	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×D₄×Q₈×C₄₇	C₂
socle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#15689632	C₂
hypercenter	C₂×D₄×Q₈	D₄₇
hypocenter	C₄₇	C₂×#3538
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×D₄×Q₈

Complements

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

N	H ≅ G/N	type
1. #20257629	C₂	direct (N × H)
2. C₂×#15689874	C₂	semidirect
3. C₂×#15689872	C₂	semidirect
4. C₂×#15689815	C₂	semidirect
5. C₂×#15689814	C₂	semidirect
6. C₂×#15689813	C₂	semidirect
7. C₂×#15689807	C₂	semidirect
8. C₂×#15689802	C₂	semidirect
9. C₂×#15689800	C₂	semidirect
10. C₂×#15689788	C₂	semidirect
11. C₂×Q₈×C₂²⋊D₄₇	C₂	semidirect
12. C₂×Q₈×C₂²⋊D₄₇	C₂	semidirect
13. C₂×#15689752	C₂	semidirect
14. C₂×#15689750	C₂	semidirect
15. C₂×#15689734	C₂	semidirect
16. C₂×#15689731	C₂	semidirect
17. C₂×#15689719	C₂	semidirect
18. C₂×#15689715	C₂	semidirect
19. C₂×#15689697	C₂	semidirect
20. C₂×#15689696	C₂	semidirect
22. C₂²×#13094000	C₂	semidirect
23. C₂×C₂²⋊Q₈×D₄₇	C₂	semidirect
24. C₂×D₄×Q₈×C₄₇	C₂	semidirect
27. C₂²×Q₈×D₄₇	C₂²	semidirect
29. #15689874	C₂²	semidirect
30. #15689872	C₂²	semidirect
31. #15689815	C₂²	semidirect
32. #15689814	C₂²	semidirect
33. #15689813	C₂²	semidirect
34. #15689807	C₂²	semidirect
35. #15689802	C₂²	semidirect
36. #15689800	C₂²	semidirect
37. #15689788	C₂²	semidirect
38. Q₈×C₂²⋊D₄₇	C₂²	semidirect
39. Q₈×C₂²⋊D₄₇	C₂²	semidirect
40. #15689752	C₂²	semidirect
41. #15689750	C₂²	semidirect
42. #15689734	C₂²	semidirect
43. #15689731	C₂²	semidirect
44. #15689719	C₂²	semidirect
45. #15689715	C₂²	semidirect
46. #15689697	C₂²	semidirect
47. #15689696	C₂²	semidirect
48. C₂×#13094023	C₂²	semidirect
49. C₂×#13094023	C₂²	semidirect
50. C₂×#13094022	C₂²	semidirect
51. C₂×#13094022	C₂²	semidirect
52. C₂×#13094022	C₂²	semidirect
53. C₂×#13094022	C₂²	semidirect
57. C₂×#13094019	C₂²	semidirect
59. C₂×#13094018	C₂²	semidirect
60. C₂×#13094017	C₂²	semidirect
61. C₂×#13094017	C₂²	semidirect
62. C₂×#13094016	C₂²	semidirect
63. C₂×#13094016	C₂²	semidirect
64. C₂×#13094015	C₂²	semidirect
65. C₂×#13094015	C₂²	semidirect
66. C₂×#13094014	C₂²	semidirect
67. C₂×#13094014	C₂²	semidirect
68. C₂×#13094014	C₂²	semidirect
69. C₂×#13094014	C₂²	semidirect
70. C₂×#13094014	C₂²	semidirect
71. C₂×#13094014	C₂²	semidirect
80. C₂×#13094007	C₂²	semidirect
83. C₂×#13094006	C₂²	semidirect
88. C₂×#13094003	C₂²	semidirect
89. C₂×#13094003	C₂²	semidirect
93. C₂×#13094002	C₂²	semidirect
104. C₂×#13094000	C₂²	semidirect
105. C₂×#13094000	C₂²	semidirect
106. C₂×#13094000	C₂²	semidirect
107. C₂×#13094000	C₂²	semidirect
108. C₂²⋊Q₈×D₄₇	C₂²	semidirect
113. C₂×Q₈×Dic₄₇	C₂²	semidirect
114. C₂×Q₈×Dic₄₇	C₂²	semidirect
115. C₂×C₄×Dic₉₄	C₂²	semidirect
122. C₂×#13093983	C₂²	semidirect
124. C₂×#13093982	C₂²	semidirect
136. C₂³×Q₈×C₄₇	C₂²	semidirect
137. D₄×Q₈×C₄₇	C₂²	semidirect
138. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
139. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
143. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
157. C₂×Q₈×D₄₇	C₂³	semidirect
176. #13094023	C₂³	semidirect
177. #13094023	C₂³	semidirect
178. #13094022	C₂³	semidirect
179. #13094022	C₂³	semidirect
180. #13094022	C₂³	semidirect
181. #13094022	C₂³	semidirect
185. #13094019	C₂³	semidirect
187. #13094018	C₂³	semidirect
188. #13094017	C₂³	semidirect
189. #13094017	C₂³	semidirect
190. #13094016	C₂³	semidirect
191. #13094016	C₂³	semidirect
192. #13094015	C₂³	semidirect
193. #13094015	C₂³	semidirect
194. #13094014	C₂³	semidirect
195. #13094014	C₂³	semidirect
196. #13094014	C₂³	semidirect
197. #13094014	C₂³	semidirect
198. #13094014	C₂³	semidirect
199. #13094014	C₂³	semidirect
207. #13094007	C₂³	semidirect
210. #13094006	C₂³	semidirect
215. #13094003	C₂³	semidirect
216. #13094003	C₂³	semidirect
220. #13094002	C₂³	semidirect
231. #13094000	C₂³	semidirect
232. #13094000	C₂³	semidirect
233. #13094000	C₂³	semidirect
238. Q₈×Dic₄₇	C₂³	semidirect
239. Q₈×Dic₄₇	C₂³	semidirect
240. C₄×Dic₉₄	C₂³	semidirect
247. #13093983	C₂³	semidirect
249. #13093982	C₂³	semidirect
323. C₂²×Q₈×C₄₇	C₂³	semidirect
329. C₄⋊Q₈×C₄₇	C₂³	semidirect
330. C₄⋊Q₈×C₄₇	C₂³	semidirect
333. C₂²⋊Q₈×C₄₇	C₂³	semidirect
334. C₂²⋊Q₈×C₄₇	C₂³	semidirect
335. C₄×Q₈×C₄₇	C₂³	semidirect
659. C₂×D₄×Q₈	D₄₇	semidirect
673. C₂×C₄₇	#3538	semidirect
684. C₂³×Q₈	C₂×D₄₇	semidirect
697. D₄×Q₈	C₂×D₄₇	semidirect
712. C₂×C₄⋊Q₈	C₂×D₄₇	semidirect
713. C₂×C₄⋊Q₈	C₂×D₄₇	semidirect
771. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
772. C₂×C₂²⋊Q₈	C₂×D₄₇	semidirect
780. C₂×C₄×Q₈	C₂×D₄₇	semidirect
802. C₄₇	C₂×#3538	semidirect
822. C₂²×Q₈	C₂²×D₄₇	semidirect
852. C₄⋊Q₈	C₂²×D₄₇	semidirect
853. C₄⋊Q₈	C₂²×D₄₇	semidirect
908. C₂²⋊Q₈	C₂²×D₄₇	semidirect
909. C₂²⋊Q₈	C₂²×D₄₇	semidirect
917. C₄×Q₈	C₂²×D₄₇	semidirect
1307. C₂	#20257629	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257629	2
C₂×#15689874	2
C₂×#15689872	2
C₂×#15689815	2
C₂×#15689814	2
C₂×#15689813	2
C₂×#15689807	2
C₂×#15689802	2
C₂×#15689800	2
C₂×#15689788	2
C₂×Q₈×C₂²⋊D₄₇	2
C₂×#15689752	2
C₂×#15689750	2
C₂×#15689734	2
C₂×#15689731	2
C₂×#15689719	2
C₂×#15689715	2
C₂×#15689697	2
C₂×#15689696	2
C₂×#15689632	2
C₂²×#13094000	2
C₂×C₂²⋊Q₈×D₄₇	2
C₂×D₄×Q₈×C₄₇	2
C₂×#3538	47

Subgroups — C2×#20257629 #27123520

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257629 #27123520