Subgroups — #20257653

Order 6016.

1058 conjugacy classes of subgroups.

The subgroup lattice has 1016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#15689865	C₂	1	1	yes	maximal, characteristic, complemented
2	#15689865	C₂	1	1	yes	maximal, characteristic, complemented
3	#15689864	C₂	1	1	yes	maximal, characteristic, complemented
4	#15689861	C₂	1	1	yes	maximal, characteristic, complemented
5	#15689858	C₂	1	1	yes	maximal, characteristic, complemented
6	#15689857	C₂	1	1	yes	maximal, characteristic, complemented
7	#15689845	C₂	1	1	yes	maximal, characteristic, complemented
8	#15689840	C₂	1	1	yes	maximal, characteristic, complemented
9	#15689836	C₂	1	1	yes	maximal, characteristic, complemented
10	#15689835	C₂	1	1	yes	maximal, characteristic, complemented
11	#15689800	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689797	C₂	1	1	yes	maximal, characteristic, complemented
13	#15689783	C₂	1	1	yes	maximal, characteristic, complemented
14	#15689781	C₂	1	1	yes	maximal, characteristic, complemented
15	#15689765	C₂	1	1	yes	maximal, characteristic, complemented
16	#15689762	C₂	1	1	yes	maximal, characteristic, complemented
17	#15689747	C₂	1	1	yes	maximal, characteristic, complemented
18	#15689743	C₂	1	1	yes	maximal, characteristic, complemented
19	#15689743	C₂	1	1	yes	maximal, characteristic, complemented
20	#15689739	C₂	1	1	yes	maximal, characteristic, complemented
21	#15689737	C₂	1	1	yes	maximal, characteristic, complemented
22	#15689713	C₂	1	1	yes	maximal, characteristic, complemented
23	#15689712	C₂	1	1	yes	maximal, characteristic, complemented
24	#15689709	C₂	1	1	yes	maximal, characteristic, complemented
25	#15689706	C₂	1	1	yes	maximal, characteristic, complemented
26	#15689698	C₂	1	1	yes	maximal, characteristic, complemented
27	#15689691	C₂	1	1	yes	maximal, characteristic, complemented
28	#15689636	C₂	1	1	yes	maximal, characteristic, complemented
29	#15689632	C₂	1	1	yes	maximal, characteristic, complemented
30	#15689631	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10625354	C₂²	1	1	yes	characteristic
33	C₂×#10625350	C₂²	1	1	yes	characteristic
34	C₂×#10625352	C₂²	1	1	yes	characteristic
35	C₂×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
38	#13094023	C₂²	1	1	yes	characteristic, complemented
39	#13094022	C₂²	1	1	yes	characteristic, complemented
40	#13094022	C₂²	1	1	yes	characteristic, complemented
41	#13094021	C₂²	1	1	yes	characteristic
42	#13094020	C₂²	1	1	yes	characteristic
43	#13094019	C₂²	1	1	yes	characteristic, complemented
44	#13094019	C₂²	1	1	yes	characteristic, complemented
45	#13094019	C₂²	1	1	yes	characteristic, complemented
46	#13094019	C₂²	1	1	yes	characteristic, complemented
47	#13094019	C₂²	1	1	yes	characteristic, complemented
48	#13094019	C₂²	1	1	yes	characteristic, complemented
49	#13094018	C₂²	1	1	yes	characteristic, complemented
50	#13094018	C₂²	1	1	yes	characteristic, complemented
51	#13094017	C₂²	1	1	yes	characteristic, complemented
52	#13094017	C₂²	1	1	yes	characteristic, complemented
53	#13094013	C₂²	1	1	yes	characteristic
54	#13094013	C₂²	1	1	yes	characteristic
55	#13094013	C₂²	1	1	yes	characteristic, complemented
56	#13094013	C₂²	1	1	yes	characteristic, complemented
57	#13094013	C₂²	1	1	yes	characteristic, complemented
58	#13094013	C₂²	1	1	yes	characteristic, complemented
59	#13094012	C₂²	1	1	yes	characteristic
60	#13094012	C₂²	1	1	yes	characteristic
61	#13094012	C₂²	1	1	yes	characteristic, complemented
62	#13094012	C₂²	1	1	yes	characteristic, complemented
63	#13094012	C₂²	1	1	yes	characteristic, complemented
64	#13094010	C₂²	1	1	yes	characteristic
65	#13094010	C₂²	1	1	yes	characteristic
66	#13094010	C₂²	1	1	yes	characteristic, complemented
67	#13094010	C₂²	1	1	yes	characteristic, complemented
68	#13094010	C₂²	1	1	yes	characteristic, complemented
69	#13094010	C₂²	1	1	yes	characteristic, complemented
70	#13094010	C₂²	1	1	yes	characteristic, complemented
71	#13094010	C₂²	1	1	yes	characteristic, complemented
72	#13094010	C₂²	1	1	yes	characteristic, complemented
73	#13094010	C₂²	1	1	yes	characteristic, complemented
74	#13094010	C₂²	1	1	yes	characteristic, complemented
75	#13094010	C₂²	1	1	yes	characteristic, complemented
76	#13094009	C₂²	1	1	yes	characteristic
77	#13094009	C₂²	1	1	yes	characteristic, complemented
78	#13094009	C₂²	1	1	yes	characteristic, complemented
79	#13094009	C₂²	1	1	yes	characteristic, complemented
80	#13094009	C₂²	1	1	yes	characteristic, complemented
81	#13094009	C₂²	1	1	yes	characteristic, complemented
82	#13094009	C₂²	1	1	yes	characteristic, complemented
83	#13094009	C₂²	1	1	yes	characteristic, complemented
84	#13094009	C₂²	1	1	yes	characteristic, complemented
85	#13094009	C₂²	1	1	yes	characteristic, complemented
86	#13094009	C₂²	1	1	yes	characteristic, complemented
87	#13094008	C₂²	1	1	yes	characteristic, complemented
88	#13094007	C₂²	1	1	yes	characteristic, complemented
89	#13094007	C₂²	1	1	yes	characteristic, complemented
90	#13094006	C₂²	1	1	yes	characteristic, complemented
91	#13094005	C₂²	1	1	yes	characteristic, complemented
92	#13094004	C₂²	1	1	yes	characteristic, complemented
93	#13094002	C₂²	1	1	yes	characteristic, complemented
94	#13094002	C₂²	1	1	yes	characteristic, complemented
95	#13094002	C₂²	1	1	yes	characteristic, complemented
96	#13094002	C₂²	1	1	yes	characteristic, complemented
97	#13094002	C₂²	1	1	yes	characteristic, complemented
98	#13094002	C₂²	1	1	yes	characteristic, complemented
99	#13094002	C₂²	1	1	yes	characteristic, complemented
100	#13094001	C₂²	1	1	yes	characteristic, complemented
101	#13094001	C₂²	1	1	yes	characteristic, complemented
102	#13094001	C₂²	1	1	yes	characteristic, complemented
103	#13094000	C₂²	1	1	yes	characteristic, complemented
104	#13094000	C₂²	1	1	yes	characteristic, complemented
105	#13093999	C₂²	1	1	yes	characteristic
106	#13093999	C₂²	1	1	yes	characteristic
107	#13093999	C₂²	1	1	yes	characteristic, complemented
108	#13093999	C₂²	1	1	yes	characteristic, complemented
109	#13093998	C₂²	1	1	yes	characteristic
110	#13093998	C₂²	1	1	yes	characteristic, complemented
111	#13093997	C₂²	1	1	yes	characteristic
112	#13093997	C₂²	1	1	yes	characteristic
113	#13093997	C₂²	1	1	yes	characteristic
114	#13093997	C₂²	1	1	yes	characteristic
115	#13093997	C₂²	1	1	yes	characteristic, complemented
116	#13093997	C₂²	1	1	yes	characteristic, complemented
117	#13093997	C₂²	1	1	yes	characteristic, complemented
118	#13093997	C₂²	1	1	yes	characteristic, complemented
119	#13093997	C₂²	1	1	yes	characteristic, complemented
120	#13093996	C₂²	1	1	yes	characteristic
121	#13093996	C₂²	1	1	yes	characteristic
122	#13093996	C₂²	1	1	yes	characteristic, complemented
123	#13093995	C₂²	1	1	yes	characteristic, complemented
124	#13093994	C₂²	1	1	yes	characteristic
125	#13093994	C₂²	1	1	yes	characteristic
126	#13093994	C₂²	1	1	yes	characteristic
127	#13093994	C₂²	1	1	yes	characteristic
128	#13093994	C₂²	1	1	yes	characteristic
129	#13093994	C₂²	1	1	yes	characteristic, complemented
130	#13093994	C₂²	1	1	yes	characteristic, complemented
131	#13093994	C₂²	1	1	yes	characteristic, complemented
132	#13093994	C₂²	1	1	yes	characteristic, complemented
133	#13093994	C₂²	1	1	yes	characteristic, complemented
134	#13093992	C₂²	1	1	yes	characteristic
135	#13093992	C₂²	1	1	yes	characteristic
136	#13093992	C₂²	1	1	yes	characteristic, complemented
137	#13093992	C₂²	1	1	yes	characteristic, complemented
138	C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
139	C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
140	#13093989	C₂²	1	1	yes	characteristic, complemented
141	#13093989	C₂²	1	1	yes	characteristic, complemented
142	#13093989	C₂²	1	1	yes	characteristic, complemented
143	C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
144	C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
145	#13093986	C₂²	1	1	yes	characteristic
146	#13093986	C₂²	1	1	yes	characteristic, complemented
147	#13093986	C₂²	1	1	yes	characteristic, complemented
148	#13093986	C₂²	1	1	yes	characteristic, complemented
149	#13093986	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
154	(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
155	(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	(C₂²⋊D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	#13093982	C₂²	1	1	yes	characteristic, complemented
161	#13093982	C₂²	1	1	yes	characteristic, complemented
162	#13093981	C₂²	1	1	yes	characteristic, complemented
163	#13093981	C₂²	1	1	yes	characteristic, complemented
164	#13093981	C₂²	1	1	yes	characteristic, complemented
165	#13093981	C₂²	1	1	yes	characteristic, complemented
166	#13093980	C₂²	1	1	yes	characteristic, complemented
167	#13093980	C₂²	1	1	yes	characteristic, complemented
168	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
172	C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
173	#126×C₄₇	C₂²	1	1	yes	characteristic, complemented
174	#126×C₄₇	C₂²	1	1	yes	characteristic, complemented
175	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
176	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
177	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
178	#123×C₄₇	C₂²	1	1	yes	characteristic, complemented
179	#123×C₄₇	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
183	#121×C₄₇	C₂²	1	1	yes	characteristic
184	C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
185	C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
186	#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₄₇	C₂³	1	1	yes	characteristic
188	C₂³×D₄₇	C₂³	1	1	yes	characteristic
189	C₂³×D₄₇	C₂³	1	1	yes	characteristic
190	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
191	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
192	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
193	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
194	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
195	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
211	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
212	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
213	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
214	#10625354	—	4	2	no	—
215	Q₈×D₄₇	—	4	2	no	—
216	#10625352	—	4	2	no	—
217	D₄×D₄₇	—	4	2	no	—
218	#10625350	—	4	2	no	—
219	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
220	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
221	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
222	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
223	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
224	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
225	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
226	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
227	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
228	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
229	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
230	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₄₇	—	4	2	no	—
232	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
244	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
250	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
251	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
252	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
253	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
254	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
255	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
256	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
257	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
258	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
259	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
260	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
261	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
262	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
263	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
264	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
265	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
266	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
267	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
268	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
269	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
270	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
271	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
272	C₄²×C₄₇	C₂³	1	1	yes	characteristic
273	C₄²×C₄₇	C₂³	1	1	yes	characteristic
274	C₄²×C₄₇	C₂³	1	1	yes	characteristic
275	C₄²×C₄₇	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
282	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
318	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
319	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
320	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
321	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
322	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
327	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
328	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
331	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
334	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
335	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
336	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
337	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
338	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
339	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
340	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
341	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
342	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
343	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
344	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
345	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
346	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
347	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
348	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
349	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
350	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
351	C₂²×D₄₇	—	4	1	no	—
352	C₂²×D₄₇	—	4	1	no	—
353	C₂²×D₄₇	—	4	1	no	—
354	C₂²×D₄₇	—	4	1	no	—
355	C₂²×D₄₇	—	4	1	no	—
356	C₂²×D₄₇	—	4	1	no	—
357	C₂²×D₄₇	—	4	1	no	—
358	C₂²×D₄₇	—	4	1	no	—
359	C₂²×D₄₇	—	4	1	no	—
360	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
361	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
362	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
363	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
364	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
366	Q₈×C₄₇	—	4	1	no	—
367	Q₈×C₄₇	—	4	1	no	—
368	Q₈×C₄₇	—	4	1	no	—
369	D₄×C₄₇	—	4	1	no	—
370	D₄×C₄₇	—	4	1	no	—
371	D₄×C₄₇	—	4	1	no	—
372	C₂×C₄×C₄₇	—	4	1	no	—
373	C₂×C₄×C₄₇	—	4	1	no	—
374	C₂×C₄×C₄₇	—	4	1	no	—
375	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
378	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
385	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²⋊D₄₇	—	2	2	no	—
388	C₂²⋊D₄₇	—	2	2	no	—
389	C₂²⋊D₄₇	—	4	1	no	—
390	C₂²⋊D₄₇	—	4	1	no	—
391	C₂²⋊D₄₇	—	4	1	no	—
392	C₂²⋊D₄₇	—	4	1	no	—
393	C₂²⋊D₄₇	—	4	1	no	—
394	C₂²⋊D₄₇	—	4	1	no	—
395	C₂²⋊D₄₇	—	4	1	no	—
396	C₂²⋊D₄₇	—	4	1	no	—
397	C₂²⋊D₄₇	—	4	1	no	—
398	C₂²⋊D₄₇	—	4	1	no	—
399	C₂×Dic₄₇	—	2	2	no	—
400	C₂×Dic₄₇	—	4	1	no	—
401	C₂×Dic₄₇	—	4	1	no	—
402	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
403	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
404	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
405	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
408	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
409	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
410	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
411	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
412	D₁₈₈	—	4	1	no	—
413	D₁₈₈	—	4	1	no	—
414	D₁₈₈	—	4	1	no	—
415	D₁₈₈	—	4	1	no	—
416	D₁₈₈	—	4	1	no	—
417	D₁₈₈	—	4	1	no	—
418	D₁₈₈	—	4	1	no	—
419	D₁₈₈	—	4	1	no	—
420	D₁₈₈	—	4	1	no	—
421	D₁₈₈	—	4	1	no	—
422	D₁₈₈	—	4	1	no	—
423	D₁₈₈	—	4	1	no	—
424	C₄×D₄₇	—	2	2	no	—
425	C₄×D₄₇	—	2	2	no	—
426	C₄×D₄₇	—	2	2	no	—
427	C₄×D₄₇	—	2	2	no	—
428	C₄×D₄₇	—	4	1	no	—
429	C₄×D₄₇	—	4	1	no	—
430	C₄×D₄₇	—	4	1	no	—
431	C₄×D₄₇	—	4	1	no	—
432	C₄×D₄₇	—	4	1	no	—
433	C₄×D₄₇	—	4	1	no	—
434	C₄×D₄₇	—	4	1	no	—
435	C₄×D₄₇	—	4	1	no	—
436	Dic₉₄	—	2	2	no	—
437	Dic₉₄	—	2	2	no	—
438	Dic₉₄	—	4	1	no	—
439	Dic₉₄	—	4	1	no	—
440	Dic₉₄	—	4	1	no	—
441	Dic₉₄	—	4	1	no	—
442	C₂²×C₄₇	—	2	1	no	—
443	C₂²×C₄₇	—	2	1	no	—
444	C₂²×C₄₇	—	2	1	no	—
445	C₂²×C₄₇	—	2	1	no	—
446	C₂²×C₄₇	—	2	1	no	—
447	C₂²×C₄₇	—	2	1	no	—
448	C₂²×C₄₇	—	2	1	no	—
449	C₂²×C₄₇	—	2	1	no	—
450	C₂²×C₄₇	—	2	1	no	—
451	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
452	C₂×D₄₇	—	2	1	no	—
453	C₂×D₄₇	—	2	1	no	—
454	C₂×D₄₇	—	2	1	no	—
455	C₂×D₄₇	—	2	1	no	—
456	C₂×D₄₇	—	2	1	no	—
457	C₂×D₄₇	—	2	1	no	—
458	C₂×D₄₇	—	2	1	no	—
459	C₂×D₄₇	—	2	1	no	—
460	C₂×D₄₇	—	2	1	no	—
461	C₂×D₄₇	—	2	1	no	—
462	C₂×D₄₇	—	2	1	no	—
463	C₂×D₄₇	—	2	1	no	—
464	C₂×D₄₇	—	2	1	no	—
465	C₂×D₄₇	—	2	1	no	—
466	C₂×D₄₇	—	2	1	no	—
467	C₂×D₄₇	—	2	1	no	—
468	C₂×D₄₇	—	2	1	no	—
469	C₂×D₄₇	—	2	1	no	—
470	C₂×D₄₇	—	4	4	no	—
471	C₂×D₄₇	—	8	2	no	—
472	C₂×D₄₇	—	8	2	no	—
473	C₄×C₄₇	—	2	1	no	—
474	C₄×C₄₇	—	2	1	no	—
475	C₄×C₄₇	—	2	1	no	—
476	C₄×C₄₇	—	2	1	no	—
477	C₄×C₄₇	—	2	1	no	—
478	C₄×C₄₇	—	2	1	no	—
479	C₄×C₄₇	—	2	1	no	—
480	C₄×C₄₇	—	2	1	no	—
481	C₄×C₄₇	—	2	1	no	—
482	C₄×C₄₇	—	2	1	no	—
483	C₄×C₄₇	—	2	1	no	—
484	C₄×C₄₇	—	2	1	no	—
485	Dic₄₇	—	2	1	no	—
486	Dic₄₇	—	2	1	no	—
487	Dic₄₇	—	2	1	no	—
488	Dic₄₇	—	2	1	no	—
489	Dic₄₇	—	2	1	no	—
490	Dic₄₇	—	2	1	no	—
491	Dic₄₇	—	2	1	no	—
492	Dic₄₇	—	2	1	no	—
493	Dic₄₇	—	2	1	no	—
494	Dic₄₇	H(5,𝔽₂)	1	2	yes	—
495	#3540	—	47	1	no	maximal, Sylow
496	C₂×C₄₇	—	4	1	no	—
497	C₂×C₄₇	—	4	1	no	—
498	C₂×C₄₇	—	4	1	no	—
499	C₂×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
500	C₂×C₄₇	#585	1	1	yes	characteristic
501	C₂×C₄₇	#585	1	1	yes	characteristic
502	D₄₇	—	4	1	no	—
503	D₄₇	—	4	1	no	—
504	D₄₇	—	4	1	no	—
505	D₄₇	—	4	1	no	—
506	D₄₇	—	4	1	no	—
507	D₄₇	—	4	1	no	—
508	H(3,𝔽₄)	—	47	1	no	—
509	H(3,𝔽₄)	—	47	1	no	—
510	#560	—	47	1	no	—
511	#560	—	47	1	no	—
512	#559	—	47	1	no	—
513	#559	—	47	1	no	—
514	#556	—	47	1	no	—
515	#556	—	47	1	no	—
516	#555	—	47	1	no	—
517	#555	—	47	1	no	—
518	#551	—	47	1	no	—
519	#551	—	47	1	no	—
520	#548	—	47	1	no	—
521	#548	—	47	1	no	—
522	#546	—	47	1	no	—
523	#546	—	47	1	no	—
524	#542	—	47	1	no	—
525	#542	—	47	1	no	—
526	#542	—	47	1	no	—
527	#542	—	47	1	no	—
528	#542	—	47	1	no	—
529	#542	D₄₇	1	1	yes	characteristic, complemented
530	#538	—	47	1	no	—
531	#538	—	47	1	no	—
532	#538	—	47	1	no	—
533	#538	—	47	1	no	—
534	#536	—	47	1	no	—
535	#535	—	47	1	no	—
536	#525	—	47	1	no	—
537	#525	—	47	1	no	—
538	#525	—	47	1	no	—
539	C₄₇	#3540	1	1	yes	characteristic, complemented, Sylow
540	C₂×#41	—	47	1	no	—
541	C₂×#41	—	47	1	no	—
542	C₂×#41	—	47	1	no	—
543	C₂²×Q₈	—	47	1	no	—
544	C₂²×D₄	—	47	1	no	—
545	C₂³×C₄	—	47	1	no	—
546	C₄⋊Q₈	—	47	1	no	—
547	C₄⋊Q₈	—	47	1	no	—
548	C₄⋊Q₈	—	47	1	no	—
549	C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
550	#127	—	47	1	no	—
551	#127	—	47	1	no	—
552	#126	—	47	1	no	—
553	#126	—	47	1	no	—
554	#126	—	47	1	no	—
555	#126	—	47	1	no	—
556	#126	—	47	1	no	—
557	#126	—	47	1	no	—
558	#126	—	47	1	no	—
559	#126	—	47	1	no	—
560	#126	—	47	1	no	—
561	#126	—	47	1	no	—
562	#126	C₂×D₄₇	1	1	yes	characteristic, complemented
563	#126	C₂×D₄₇	1	1	yes	characteristic, complemented
564	#124	—	47	1	no	—
565	#124	—	47	1	no	—
566	#124	—	47	1	no	—
567	#124	—	47	1	no	—
568	#124	—	47	1	no	—
569	#124	—	47	1	no	—
570	#124	—	47	1	no	—
571	#124	—	47	1	no	—
572	#124	—	47	1	no	—
573	#124	—	47	1	no	—
574	#124	—	47	1	no	—
575	#124	—	47	1	no	—
576	#124	—	47	1	no	—
577	#124	—	47	1	no	—
578	#124	—	47	1	no	—
579	#124	—	47	1	no	—
580	#124	—	47	1	no	—
581	#124	—	47	1	no	—
582	#124	—	47	1	no	—
583	#124	—	47	1	no	—
584	#124	—	47	1	no	—
585	#124	—	47	1	no	—
586	#124	—	47	1	no	—
587	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
588	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
589	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
590	#123	—	47	1	no	—
591	#123	—	47	1	no	—
592	#123	—	47	1	no	—
593	#123	—	47	1	no	—
594	#123	—	47	1	no	—
595	#123	—	47	1	no	—
596	#123	—	47	1	no	—
597	#123	—	47	1	no	—
598	#123	—	47	1	no	—
599	#123	—	47	1	no	—
600	#123	—	47	1	no	—
601	#123	—	47	1	no	—
602	#123	—	47	1	no	—
603	#123	—	47	1	no	—
604	#123	—	47	1	no	—
605	#123	—	47	1	no	—
606	#123	C₂×D₄₇	1	1	yes	characteristic, complemented
607	#123	C₂×D₄₇	1	1	yes	characteristic, complemented
608	C₂²⋊Q₈	—	47	1	no	—
609	C₂²⋊Q₈	—	47	1	no	—
610	C₂²⋊Q₈	—	47	1	no	—
611	C₂²⋊Q₈	—	47	1	no	—
612	C₂²⋊Q₈	—	47	1	no	—
613	C₂²⋊Q₈	—	47	1	no	—
614	C₂²⋊Q₈	—	47	1	no	—
615	C₂²⋊Q₈	—	47	1	no	—
616	C₂²⋊Q₈	—	47	1	no	—
617	C₂²⋊Q₈	—	47	1	no	—
618	C₂²⋊Q₈	—	47	1	no	—
619	C₂²⋊Q₈	—	47	1	no	—
620	C₂²⋊Q₈	—	47	1	no	—
621	C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
622	C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
623	C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
624	#121	—	47	1	no	—
625	#121	—	47	1	no	—
626	#121	—	47	1	no	—
627	#121	—	47	1	no	—
628	#121	—	47	1	no	—
629	#121	—	47	1	no	—
630	#121	—	47	1	no	—
631	#121	—	47	1	no	—
632	#121	—	47	1	no	—
633	#121	—	47	1	no	—
634	#121	—	47	1	no	—
635	#121	—	47	1	no	—
636	#121	—	47	1	no	—
637	#121	—	47	1	no	—
638	#121	—	47	1	no	—
639	#121	—	47	1	no	—
640	#121	—	47	1	no	—
641	#121	—	47	1	no	—
642	#121	—	47	1	no	—
643	#121	C₂×D₄₇	1	1	yes	characteristic
644	#120	—	47	1	no	—
645	#120	—	47	1	no	—
646	#120	—	47	1	no	—
647	#120	—	47	1	no	—
648	#120	—	47	1	no	—
649	#120	—	47	1	no	—
650	#120	—	47	1	no	—
651	#120	—	47	1	no	—
652	#120	—	47	1	no	—
653	#120	—	47	1	no	—
654	#120	—	47	1	no	—
655	#120	—	47	1	no	—
656	#120	—	47	1	no	—
657	#120	—	47	1	no	—
658	C₄×Q₈	—	47	1	no	—
659	C₄×Q₈	—	47	1	no	—
660	C₄×Q₈	—	47	1	no	—
661	C₄×Q₈	—	47	1	no	—
662	C₄×Q₈	—	47	1	no	—
663	C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic, complemented
664	C₄×D₄	—	47	1	no	—
665	C₄×D₄	—	47	1	no	—
666	C₄×D₄	—	47	1	no	—
667	C₄×D₄	—	47	1	no	—
668	C₄×D₄	—	47	1	no	—
669	C₄×D₄	—	47	1	no	—
670	C₄×D₄	—	47	1	no	—
671	C₄×D₄	—	47	1	no	—
672	C₄×D₄	—	47	1	no	—
673	C₄×D₄	—	47	1	no	—
674	C₄×D₄	—	47	1	no	—
675	C₄×D₄	—	47	1	no	—
676	C₄×D₄	—	47	1	no	—
677	C₄×D₄	—	47	1	no	—
678	C₄×D₄	—	47	1	no	—
679	C₄×D₄	—	47	1	no	—
680	C₄×D₄	—	47	1	no	—
681	C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
682	#117	—	47	1	no	—
683	#117	—	47	1	no	—
684	#117	—	47	1	no	—
685	#117	—	47	1	no	—
686	#117	—	47	1	no	—
687	#117	—	47	1	no	—
688	#117	—	47	1	no	—
689	#117	—	47	1	no	—
690	#117	C₂×D₄₇	1	1	yes	characteristic, complemented
691	C₂×C₂²⋊C₄	—	47	1	no	—
692	C₂×C₂²⋊C₄	—	47	1	no	—
693	C₂×C₂²⋊C₄	—	47	1	no	—
694	C₂×C₂²⋊C₄	—	47	1	no	—
695	C₂⁴	—	47	1	no	—
696	C₂⁴	—	47	1	no	—
697	C₂⁴	—	47	1	no	—
698	#41	—	188	2	no	—
699	#41	—	188	2	no	—
700	#41	—	188	2	no	—
701	C₂×Q₈	—	47	1	no	—
702	C₂×Q₈	—	47	1	no	—
703	C₂×Q₈	—	47	1	no	—
704	C₂×Q₈	—	47	1	no	—
705	C₂×Q₈	—	47	1	no	—
706	C₂×Q₈	—	47	1	no	—
707	C₂×Q₈	—	188	2	no	—
708	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
709	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
710	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
711	C₂×D₄	—	47	1	no	—
712	C₂×D₄	—	47	1	no	—
713	C₂×D₄	—	47	1	no	—
714	C₂×D₄	—	47	1	no	—
715	C₂×D₄	—	47	1	no	—
716	C₂×D₄	—	47	1	no	—
717	C₂×D₄	—	47	1	no	—
718	C₂×D₄	—	47	1	no	—
719	C₂×D₄	—	47	1	no	—
720	C₂×D₄	—	47	1	no	—
721	C₂×D₄	—	47	1	no	—
722	C₂×D₄	—	47	1	no	—
723	C₂×D₄	—	47	1	no	—
724	C₂×D₄	—	47	1	no	—
725	C₂×D₄	—	47	1	no	—
726	C₂×D₄	—	47	1	no	—
727	C₂×D₄	—	47	1	no	—
728	C₂×D₄	—	47	1	no	—
729	C₂×D₄	—	47	1	no	—
730	C₂×D₄	—	47	1	no	—
731	C₂×D₄	—	47	1	no	—
732	C₂×D₄	—	47	1	no	—
733	C₂×D₄	—	47	1	no	—
734	C₂×D₄	—	47	1	no	—
735	C₂×D₄	—	188	2	no	—
736	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
737	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
738	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
739	C₂²×C₄	—	47	1	no	—
740	C₂²×C₄	—	47	1	no	—
741	C₂²×C₄	—	47	1	no	—
742	C₂²×C₄	—	47	1	no	—
743	C₂²×C₄	—	47	1	no	—
744	C₂²×C₄	—	47	1	no	—
745	C₂²×C₄	—	47	1	no	—
746	C₂²×C₄	—	47	1	no	—
747	C₂²×C₄	—	47	1	no	—
748	C₂²×C₄	—	47	1	no	—
749	C₂²×C₄	—	47	1	no	—
750	C₂²×C₄	—	47	1	no	—
751	C₂²×C₄	—	47	1	no	—
752	C₂²×C₄	—	47	1	no	—
753	C₂²×C₄	—	47	1	no	—
754	C₂²×C₄	—	188	2	no	—
755	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
756	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
757	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
758	C₄⋊C₄	—	47	1	no	—
759	C₄⋊C₄	—	47	1	no	—
760	C₄⋊C₄	—	47	1	no	—
761	C₄⋊C₄	—	47	1	no	—
762	C₄⋊C₄	—	47	1	no	—
763	C₄⋊C₄	—	47	1	no	—
764	C₄⋊C₄	—	47	1	no	—
765	C₄⋊C₄	—	47	1	no	—
766	C₄⋊C₄	—	47	1	no	—
767	C₄⋊C₄	—	47	1	no	—
768	C₄⋊C₄	—	47	1	no	—
769	C₄⋊C₄	—	47	1	no	—
770	C₄⋊C₄	—	47	1	no	—
771	C₄⋊C₄	—	47	1	no	—
772	C₄⋊C₄	—	47	1	no	—
773	C₄⋊C₄	—	47	1	no	—
774	C₄⋊C₄	—	47	1	no	—
775	C₄⋊C₄	—	47	1	no	—
776	C₄⋊C₄	—	47	1	no	—
777	C₄⋊C₄	—	47	1	no	—
778	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
779	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
780	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
781	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
782	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
783	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
784	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
785	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
786	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
787	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
788	C₂²⋊C₄	—	47	1	no	—
789	C₂²⋊C₄	—	47	1	no	—
790	C₂²⋊C₄	—	47	1	no	—
791	C₂²⋊C₄	—	47	1	no	—
792	C₂²⋊C₄	—	47	1	no	—
793	C₂²⋊C₄	—	47	1	no	—
794	C₂²⋊C₄	—	47	1	no	—
795	C₂²⋊C₄	—	47	1	no	—
796	C₂²⋊C₄	—	47	1	no	—
797	C₂²⋊C₄	—	47	1	no	—
798	C₂²⋊C₄	—	47	1	no	—
799	C₂²⋊C₄	—	47	1	no	—
800	C₂²⋊C₄	—	47	1	no	—
801	C₂²⋊C₄	—	47	1	no	—
802	C₂²⋊C₄	—	47	1	no	—
803	C₂²⋊C₄	—	47	1	no	—
804	C₂²⋊C₄	—	47	1	no	—
805	C₂²⋊C₄	—	47	1	no	—
806	C₂²⋊C₄	—	47	1	no	—
807	C₂²⋊C₄	—	47	1	no	—
808	C₂²⋊C₄	—	47	1	no	—
809	C₂²⋊C₄	—	47	1	no	—
810	C₂²⋊C₄	—	47	1	no	—
811	C₂²⋊C₄	—	47	1	no	—
812	C₂²⋊C₄	—	47	1	no	—
813	C₂²⋊C₄	—	47	1	no	—
814	C₂²⋊C₄	—	47	1	no	—
815	C₂²⋊C₄	—	47	1	no	—
816	C₂²⋊C₄	—	47	1	no	—
817	C₂²⋊C₄	—	47	1	no	—
818	C₂²⋊C₄	—	47	1	no	—
819	C₂²⋊C₄	—	47	1	no	—
820	C₂²⋊C₄	—	47	1	no	—
821	C₂²⋊C₄	—	47	1	no	—
822	C₂²⋊C₄	—	47	1	no	—
823	C₂²⋊C₄	—	47	1	no	—
824	C₂²⋊C₄	—	47	1	no	—
825	C₂²⋊C₄	—	47	1	no	—
826	C₂²⋊C₄	—	47	1	no	—
827	C₂²⋊C₄	—	47	1	no	—
828	C₂²⋊C₄	—	47	1	no	—
829	C₂²⋊C₄	—	47	1	no	—
830	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
831	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
832	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
833	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
834	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
835	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
836	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
837	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
838	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
839	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
840	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
841	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
842	C₄²	—	47	1	no	—
843	C₄²	—	47	1	no	—
844	C₄²	—	47	1	no	—
845	C₄²	—	47	1	no	—
846	C₄²	—	47	1	no	—
847	C₄²	—	47	1	no	—
848	C₄²	—	47	1	no	—
849	C₄²	—	47	1	no	—
850	C₄²	—	47	1	no	—
851	C₄²	—	47	1	no	—
852	C₄²	C₂²×D₄₇	1	1	yes	characteristic
853	C₄²	C₂²×D₄₇	1	1	yes	characteristic
854	C₄²	C₂²×D₄₇	1	1	yes	characteristic
855	C₄²	C₂²×D₄₇	1	1	yes	characteristic
856	C₂³	—	47	1	no	—
857	C₂³	—	47	1	no	—
858	C₂³	—	47	1	no	—
859	C₂³	—	47	1	no	—
860	C₂³	—	47	1	no	—
861	C₂³	—	47	1	no	—
862	C₂³	—	188	1	no	—
863	C₂³	—	188	1	no	—
864	C₂³	—	188	1	no	—
865	C₂³	—	188	1	no	—
866	C₂³	—	188	1	no	—
867	C₂³	—	188	1	no	—
868	C₂³	—	188	1	no	—
869	C₂³	—	188	1	no	—
870	C₂³	—	188	1	no	—
871	C₂³	C₂³×D₄₇	1	1	yes	characteristic
872	C₂³	C₂³×D₄₇	1	1	yes	characteristic
873	C₂³	C₂³×D₄₇	1	1	yes	characteristic
874	Q₈	—	4	1	no	—
875	Q₈	—	4	1	no	—
876	Q₈	—	4	1	no	—
877	Q₈	—	94	2	no	—
878	Q₈	—	94	2	no	—
879	Q₈	—	188	1	no	—
880	Q₈	—	188	1	no	—
881	Q₈	—	188	1	no	—
882	Q₈	—	188	1	no	—
883	D₄	—	4	1	no	—
884	D₄	—	4	1	no	—
885	D₄	—	4	1	no	—
886	D₄	—	94	2	no	—
887	D₄	—	94	2	no	—
888	D₄	—	188	1	no	—
889	D₄	—	188	1	no	—
890	D₄	—	188	1	no	—
891	D₄	—	188	1	no	—
892	D₄	—	188	1	no	—
893	D₄	—	188	1	no	—
894	D₄	—	188	1	no	—
895	D₄	—	188	1	no	—
896	D₄	—	188	1	no	—
897	D₄	—	188	1	no	—
898	D₄	—	188	1	no	—
899	D₄	—	188	1	no	—
900	D₄	—	188	1	no	—
901	D₄	—	188	1	no	—
902	D₄	—	188	1	no	—
903	D₄	—	188	1	no	—
904	D₄	—	188	1	no	—
905	D₄	—	188	1	no	—
906	D₄	—	188	1	no	—
907	D₄	—	188	1	no	—
908	D₄	—	188	1	no	—
909	D₄	—	188	1	no	—
910	C₂×C₄	—	4	1	no	—
911	C₂×C₄	—	4	1	no	—
912	C₂×C₄	—	4	1	no	—
913	C₂×C₄	—	47	1	no	—
914	C₂×C₄	—	47	1	no	—
915	C₂×C₄	—	47	1	no	—
916	C₂×C₄	—	47	1	no	—
917	C₂×C₄	—	47	1	no	—
918	C₂×C₄	—	47	1	no	—
919	C₂×C₄	—	47	1	no	—
920	C₂×C₄	—	47	1	no	—
921	C₂×C₄	—	47	1	no	—
922	C₂×C₄	—	47	1	no	—
923	C₂×C₄	—	94	2	no	—
924	C₂×C₄	—	94	2	no	—
925	C₂×C₄	—	94	2	no	—
926	C₂×C₄	—	94	2	no	—
927	C₂×C₄	—	94	2	no	—
928	C₂×C₄	—	188	1	no	—
929	C₂×C₄	—	188	1	no	—
930	C₂×C₄	—	188	1	no	—
931	C₂×C₄	—	188	1	no	—
932	C₂×C₄	—	188	1	no	—
933	C₂×C₄	—	188	1	no	—
934	C₂×C₄	—	188	1	no	—
935	C₂×C₄	—	188	1	no	—
936	C₂×C₄	—	188	1	no	—
937	C₂×C₄	—	188	1	no	—
938	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
939	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
940	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
941	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
942	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
943	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
944	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
945	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
946	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
947	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
948	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
949	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
950	C₂²	—	2	1	no	—
951	C₂²	—	2	1	no	—
952	C₂²	—	2	1	no	—
953	C₂²	—	2	1	no	—
954	C₂²	—	2	1	no	—
955	C₂²	—	2	1	no	—
956	C₂²	—	2	1	no	—
957	C₂²	—	2	1	no	—
958	C₂²	—	2	1	no	—
959	C₂²	—	94	1	no	—
960	C₂²	—	94	1	no	—
961	C₂²	—	94	1	no	—
962	C₂²	—	94	1	no	—
963	C₂²	—	94	1	no	—
964	C₂²	—	94	1	no	—
965	C₂²	—	94	1	no	—
966	C₂²	—	94	1	no	—
967	C₂²	—	94	1	no	—
968	C₂²	—	94	1	no	—
969	C₂²	—	94	1	no	—
970	C₂²	—	94	1	no	—
971	C₂²	—	94	1	no	—
972	C₂²	—	94	1	no	—
973	C₂²	—	94	1	no	—
974	C₂²	—	94	1	no	—
975	C₂²	—	94	1	no	—
976	C₂²	—	94	1	no	—
977	C₂²	—	376	2	no	—
978	C₂²	—	376	2	no	—
979	C₂²	—	188	4	no	—
980	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
981	C₄	—	2	1	no	—
982	C₄	—	2	1	no	—
983	C₄	—	2	1	no	—
984	C₄	—	2	1	no	—
985	C₄	—	2	1	no	—
986	C₄	—	2	1	no	—
987	C₄	—	2	1	no	—
988	C₄	—	2	1	no	—
989	C₄	—	2	1	no	—
990	C₄	—	2	1	no	—
991	C₄	—	2	1	no	—
992	C₄	—	2	1	no	—
993	C₄	—	47	2	no	—
994	C₄	—	94	1	no	—
995	C₄	—	94	1	no	—
996	C₄	—	94	1	no	—
997	C₄	—	94	1	no	—
998	C₄	—	94	1	no	—
999	C₄	—	94	1	no	—
1000	C₄	—	94	1	no	—
1001	C₄	—	94	1	no	—
1002	C₄	—	94	1	no	—
1003	C₂	—	4	1	no	—
1004	C₂	—	4	1	no	—
1005	C₂	—	4	1	no	—
1006	C₂	—	188	1	no	—
1007	C₂	—	188	1	no	—
1008	C₂	—	188	1	no	—
1009	C₂	—	188	1	no	—
1010	C₂	—	188	1	no	—
1011	C₂	—	188	1	no	—
1012	C₂	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1013	C₂	#15689959	1	1	yes	characteristic
1014	C₂	#15689960	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Fitting	C₄₇×#542	C₂
hypercenter	#542	D₄₇
hypocenter	C₄₇	#3540
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
1. #15689865	C₂	semidirect
2. #15689865	C₂	semidirect
3. #15689864	C₂	semidirect
4. #15689861	C₂	semidirect
5. #15689858	C₂	semidirect
6. #15689857	C₂	semidirect
7. #15689845	C₂	semidirect
8. #15689840	C₂	semidirect
9. #15689836	C₂	semidirect
10. #15689835	C₂	semidirect
11. #15689800	C₂	semidirect
12. #15689797	C₂	semidirect
13. #15689783	C₂	semidirect
14. #15689781	C₂	semidirect
15. #15689765	C₂	semidirect
16. #15689762	C₂	semidirect
17. #15689747	C₂	semidirect
18. #15689743	C₂	semidirect
19. #15689743	C₂	semidirect
20. #15689739	C₂	semidirect
21. #15689737	C₂	semidirect
22. #15689713	C₂	semidirect
23. #15689712	C₂	semidirect
24. #15689709	C₂	semidirect
25. #15689706	C₂	semidirect
26. #15689698	C₂	semidirect
27. #15689691	C₂	semidirect
28. #15689636	C₂	semidirect
29. #15689632	C₂	semidirect
30. #15689631	C₂	semidirect
31. C₄₇×#542	C₂	semidirect
35. C₂×Q₈×D₄₇	C₂²	semidirect
36. C₂×D₄×D₄₇	C₂²	semidirect
37. C₂²×C₄×D₄₇	C₂²	semidirect
38. #13094023	C₂²	semidirect
39. #13094022	C₂²	semidirect
40. #13094022	C₂²	semidirect
43. #13094019	C₂²	semidirect
44. #13094019	C₂²	semidirect
45. #13094019	C₂²	semidirect
46. #13094019	C₂²	semidirect
47. #13094019	C₂²	semidirect
48. #13094019	C₂²	semidirect
49. #13094018	C₂²	semidirect
50. #13094018	C₂²	semidirect
51. #13094017	C₂²	semidirect
52. #13094017	C₂²	semidirect
55. #13094013	C₂²	semidirect
56. #13094013	C₂²	semidirect
57. #13094013	C₂²	semidirect
58. #13094013	C₂²	semidirect
61. #13094012	C₂²	semidirect
62. #13094012	C₂²	semidirect
63. #13094012	C₂²	semidirect
66. #13094010	C₂²	semidirect
67. #13094010	C₂²	semidirect
68. #13094010	C₂²	semidirect
69. #13094010	C₂²	semidirect
70. #13094010	C₂²	semidirect
71. #13094010	C₂²	semidirect
72. #13094010	C₂²	semidirect
73. #13094010	C₂²	semidirect
74. #13094010	C₂²	semidirect
75. #13094010	C₂²	semidirect
77. #13094009	C₂²	semidirect
78. #13094009	C₂²	semidirect
79. #13094009	C₂²	semidirect
80. #13094009	C₂²	semidirect
81. #13094009	C₂²	semidirect
82. #13094009	C₂²	semidirect
83. #13094009	C₂²	semidirect
84. #13094009	C₂²	semidirect
85. #13094009	C₂²	semidirect
86. #13094009	C₂²	semidirect
87. #13094008	C₂²	semidirect
88. #13094007	C₂²	semidirect
89. #13094007	C₂²	semidirect
90. #13094006	C₂²	semidirect
91. #13094005	C₂²	semidirect
92. #13094004	C₂²	semidirect
93. #13094002	C₂²	semidirect
94. #13094002	C₂²	semidirect
95. #13094002	C₂²	semidirect
96. #13094002	C₂²	semidirect
97. #13094002	C₂²	semidirect
98. #13094002	C₂²	semidirect
99. #13094002	C₂²	semidirect
100. #13094001	C₂²	semidirect
101. #13094001	C₂²	semidirect
102. #13094001	C₂²	semidirect
103. #13094000	C₂²	semidirect
104. #13094000	C₂²	semidirect
107. #13093999	C₂²	semidirect
108. #13093999	C₂²	semidirect
110. #13093998	C₂²	semidirect
115. #13093997	C₂²	semidirect
116. #13093997	C₂²	semidirect
117. #13093997	C₂²	semidirect
118. #13093997	C₂²	semidirect
119. #13093997	C₂²	semidirect
122. #13093996	C₂²	semidirect
123. #13093995	C₂²	semidirect
129. #13093994	C₂²	semidirect
130. #13093994	C₂²	semidirect
131. #13093994	C₂²	semidirect
132. #13093994	C₂²	semidirect
133. #13093994	C₂²	semidirect
136. #13093992	C₂²	semidirect
137. #13093992	C₂²	semidirect
138. C₄×Dic₉₄	C₂²	semidirect
139. C₄×Dic₉₄	C₂²	semidirect
140. #13093989	C₂²	semidirect
141. #13093989	C₂²	semidirect
142. #13093989	C₂²	semidirect
143. C₄×D₁₈₈	C₂²	semidirect
144. C₄×D₁₈₈	C₂²	semidirect
146. #13093986	C₂²	semidirect
147. #13093986	C₂²	semidirect
148. #13093986	C₂²	semidirect
149. #13093986	C₂²	semidirect
150. C₄×C₂²⋊D₄₇	C₂²	semidirect
151. C₄×C₂²⋊D₄₇	C₂²	semidirect
152. C₄×C₂²⋊D₄₇	C₂²	semidirect
153. C₄×C₂²⋊D₄₇	C₂²	semidirect
155. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
156. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
157. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
158. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
159. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
160. #13093982	C₂²	semidirect
161. #13093982	C₂²	semidirect
162. #13093981	C₂²	semidirect
163. #13093981	C₂²	semidirect
164. #13093981	C₂²	semidirect
165. #13093981	C₂²	semidirect
166. #13093980	C₂²	semidirect
167. #13093980	C₂²	semidirect
168. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
169. C₂×(C₂×D₄₇)⋊C₄	C₂²	semidirect
170. C₂²⋊C₄×D₄₇	C₂²	semidirect
171. C₂²⋊C₄×D₄₇	C₂²	semidirect
172. C₄⋊Q₈×C₄₇	C₂²	semidirect
173. #126×C₄₇	C₂²	semidirect
174. #126×C₄₇	C₂²	semidirect
175. #124×C₄₇	C₂²	semidirect
176. #124×C₄₇	C₂²	semidirect
177. #124×C₄₇	C₂²	semidirect
178. #123×C₄₇	C₂²	semidirect
179. #123×C₄₇	C₂²	semidirect
180. C₂²⋊Q₈×C₄₇	C₂²	semidirect
181. C₂²⋊Q₈×C₄₇	C₂²	semidirect
182. C₂²⋊Q₈×C₄₇	C₂²	semidirect
184. C₄×Q₈×C₄₇	C₂²	semidirect
185. C₄×D₄×C₄₇	C₂²	semidirect
186. #117×C₄₇	C₂²	semidirect
529. #542	D₄₇	semidirect
539. C₄₇	#3540	semidirect
549. C₄⋊Q₈	C₂×D₄₇	semidirect
562. #126	C₂×D₄₇	semidirect
563. #126	C₂×D₄₇	semidirect
587. #124	C₂×D₄₇	semidirect
588. #124	C₂×D₄₇	semidirect
589. #124	C₂×D₄₇	semidirect
606. #123	C₂×D₄₇	semidirect
607. #123	C₂×D₄₇	semidirect
621. C₂²⋊Q₈	C₂×D₄₇	semidirect
622. C₂²⋊Q₈	C₂×D₄₇	semidirect
623. C₂²⋊Q₈	C₂×D₄₇	semidirect
663. C₄×Q₈	C₂×D₄₇	semidirect
681. C₄×D₄	C₂×D₄₇	semidirect
690. #117	C₂×D₄₇	semidirect