Subgroups — #27086126

Order 12032.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256779	C₂	1	1	yes	maximal, characteristic, complemented
2	#20256772	C₂	1	1	yes	maximal, characteristic, complemented
3	#20254046	C₂	1	1	yes	maximal, characteristic, complemented
4	#20254041	C₂	1	1	yes	maximal, characteristic, complemented
5	#20254037	C₂	1	1	yes	maximal, characteristic, complemented
6	#20254032	C₂	1	1	yes	maximal, characteristic, complemented
7	#20254025	C₂	1	2	yes	maximal, complemented
8	#20254022	C₂	1	2	yes	maximal, complemented
9	#20254018	C₂	1	1	yes	maximal, characteristic, complemented
10	#20254016	C₂	1	1	yes	maximal, characteristic, complemented
11	#20254013	C₂	1	1	yes	maximal, characteristic, complemented
12	#20254001	C₂	1	2	yes	maximal, complemented
13	#20253998	C₂	1	2	yes	maximal, complemented
14	#20253901	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253811	C₂	1	1	yes	maximal, characteristic, complemented
16	#20253735	C₂	1	1	yes	maximal, characteristic, complemented
17	#20253732	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252992	C₂	1	2	yes	maximal, complemented
19	#20252964	C₂	1	2	yes	maximal, complemented
20	#20252183	C₂	1	2	yes	maximal, complemented
21	C₄×#13094045	C₂	1	2	yes	maximal, complemented
22	#405×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3174	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094045	C₂²	1	2	yes	—
25	C₂×#13094045	C₂²	1	2	yes	—
26	C₂×M₁₆×D₄₇	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
28	#15689746	C₂²	1	2	yes	—
29	#15689745	C₂²	1	2	yes	—
30	#15689740	C₂²	1	2	yes	—
31	#15689738	C₂²	1	2	yes	—
32	#15689736	C₂²	1	1	yes	characteristic
33	#15689735	C₂²	1	1	yes	characteristic
34	#15689734	C₂²	1	1	yes	characteristic
35	#15689729	C₂²	1	1	yes	characteristic
36	#15689728	C₂²	1	1	yes	characteristic
37	#15689727	C₂²	1	1	yes	characteristic
38	#15689721	—	2	2	no	—
39	#15689716	—	2	2	no	—
40	#15689712	—	2	2	no	—
41	#15689705	—	2	2	no	—
42	#15689679	C₂²	1	1	yes	characteristic
43	#15689679	C₂²	1	1	yes	characteristic
44	#15689674	C₂²	1	1	yes	characteristic
45	#15689671	C₂²	1	1	yes	characteristic
46	#15689658	—	2	2	no	—
47	#15689656	—	2	2	no	—
48	#15689654	—	2	2	no	—
49	#15689650	—	2	2	no	—
50	#15689636	C₂²	1	2	yes	—
51	#15689633	C₂²	1	2	yes	—
52	C₄×#10625354	C₂²	1	2	yes	—
53	C₄×#10625352	C₂²	1	2	yes	—
54	#117×D₄₇	C₂²	1	1	yes	characteristic
55	#15689527	C₂²	1	2	yes	complemented
56	#15689525	C₂²	1	1	yes	characteristic, complemented
57	#15689522	C₂²	1	1	yes	characteristic, complemented
58	#15689522	C₂²	1	1	yes	characteristic, complemented
59	#15689520	C₂²	1	2	yes	complemented
60	#15689504	C₂²	1	2	yes	complemented
61	#15689504	C₂²	1	2	yes	complemented
62	#15689502	C₂²	1	1	yes	characteristic, complemented
63	#15689499	C₂²	1	1	yes	characteristic, complemented
64	#15689496	C₂²	1	1	yes	characteristic, complemented
65	#15689493	C₂²	1	1	yes	characteristic, complemented
66	#15689492	C₂²	1	1	yes	characteristic, complemented
67	#15689491	C₂²	1	1	yes	characteristic, complemented
68	#15689489	C₂²	1	1	yes	characteristic, complemented
69	#15689488	C₂²	1	1	yes	characteristic, complemented
70	#15689487	C₂²	1	1	yes	characteristic, complemented
71	#15689484	C₂²	1	2	yes	complemented
72	#15689484	C₂²	1	2	yes	complemented
73	#15689481	C₂²	1	2	yes	complemented
74	#15689481	C₂²	1	2	yes	complemented
75	#15689380	C₂²	1	2	yes	—
76	#15689379	C₂²	1	2	yes	—
77	#15689375	C₂²	1	2	yes	—
78	#15689374	C₂²	1	2	yes	—
79	#15689370	C₂²	1	2	yes	—
80	#15689369	C₂²	1	2	yes	—
81	#15689366	C₂²	1	2	yes	—
82	#15689363	C₂²	1	2	yes	—
83	#15689362	C₂²	1	2	yes	—
84	#15689358	C₂²	1	2	yes	—
85	#15689357	C₂²	1	2	yes	—
86	#15689353	C₂²	1	2	yes	—
87	#15689352	C₂²	1	2	yes	—
88	#15689349	C₂²	1	2	yes	—
89	#15689233	C₂²	1	2	yes	complemented
90	#15689232	C₂²	1	2	yes	complemented
91	#15689228	C₂²	1	2	yes	complemented
92	#15689227	C₂²	1	2	yes	complemented
93	#15689225	C₂²	1	2	yes	complemented
94	#15689224	C₂²	1	2	yes	complemented
95	#15689222	C₂²	1	2	yes	complemented
96	C₄×#10625337	C₂²	1	2	yes	complemented
97	#15689215	C₂²	1	2	yes	complemented
98	C₄×#10625325	C₂²	1	2	yes	complemented
99	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
100	#15689210	C₂²	1	2	yes	complemented
101	C₄×#10625334	C₂²	1	2	yes	complemented
102	#15689203	C₂²	1	2	yes	complemented
103	#15689160	C₂²	1	2	yes	—
104	#15689158	C₂²	1	2	yes	—
105	#15689118	C₂²	1	2	yes	—
106	#15689118	C₂²	1	2	yes	—
107	#15689116	C₂²	1	2	yes	—
108	#15689116	C₂²	1	2	yes	—
109	#15689081	C₂²	1	1	yes	characteristic
110	#15689080	C₂²	1	1	yes	characteristic
111	#15689080	C₂²	1	1	yes	characteristic
112	#15689079	C₂²	1	1	yes	characteristic
113	#15689078	C₂²	1	1	yes	characteristic
114	#15689077	C₂²	1	1	yes	characteristic
115	#15689077	C₂²	1	1	yes	characteristic
116	#97×D₄₇	C₂²	1	1	yes	characteristic
117	#97×D₄₇	C₂²	1	1	yes	characteristic
118	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
119	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
120	C₄₇×#541	C₂²	1	1	yes	characteristic
121	C₄₇×#540	C₂²	1	1	yes	characteristic
122	C₄₇×#499	C₂²	1	1	yes	characteristic, complemented
123	C₄₇×#492	C₂²	1	1	yes	characteristic, complemented
124	C₄₇×#491	C₂²	1	1	yes	characteristic, complemented
125	C₄₇×#490	C₂²	1	1	yes	characteristic, complemented
126	C₄₇×#468	C₂²	1	2	yes	—
127	C₄₇×#465	C₂²	1	2	yes	—
128	C₄₇×#440	C₂²	1	2	yes	complemented
129	C₄×SD₁₆×C₄₇	C₂²	1	2	yes	complemented
130	C₄₇×#405	C₂²	1	1	yes	characteristic
131	C₂×#10625354	C₂³	1	2	yes	—
132	C₂×#10625352	C₂³	1	2	yes	—
133	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
134	#13094045	—	2	8	no	—
135	#13094045	—	2	8	no	—
136	C₂×#10625337	C₂³	1	2	yes	—
137	C₂×#10625337	C₂³	1	2	yes	—
138	C₂×#10625325	C₂³	1	2	yes	—
139	C₂×#10625325	C₂³	1	2	yes	—
140	C₂×#10625334	C₂³	1	2	yes	—
141	C₂×#10625334	C₂³	1	2	yes	—
142	C₂×#10625329	C₂³	1	1	yes	characteristic
143	C₂×#10625324	C₂³	1	1	yes	characteristic
144	C₂×#10625324	C₂³	1	1	yes	characteristic
145	M₁₆×D₄₇	—	2	4	no	—
146	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
147	C₂×C₈×D₄₇	—	2	4	no	—
148	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
149	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
150	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
151	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
152	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
154	#13094024	C₂³	1	1	yes	characteristic
155	#13094023	C₂³	1	2	yes	—
156	#13094023	C₂³	1	2	yes	—
157	#13094021	C₂³	1	1	yes	characteristic
158	#13094019	—	2	2	no	—
159	#13094019	—	2	2	no	—
160	#13094019	—	2	2	no	—
161	#13094018	—	2	2	no	—
162	#13094017	—	2	2	no	—
163	#13094017	—	2	2	no	—
164	#13094017	—	2	2	no	—
165	#13094016	C₂³	1	1	yes	characteristic
166	#13094016	C₂³	1	1	yes	characteristic
167	#13094015	—	2	2	no	—
168	#13094014	—	2	2	no	—
169	#13094014	—	2	2	no	—
170	#13094013	C₂³	1	2	yes	—
171	#13094012	—	2	2	no	—
172	#13094011	—	2	2	no	—
173	#13094011	C₂³	1	2	yes	—
174	#13094010	—	2	2	no	—
175	#13094010	—	2	2	no	—
176	#13094009	—	2	2	no	—
177	#13094009	—	2	2	no	—
178	#13094009	—	2	2	no	—
179	#13094009	—	2	2	no	—
180	#13094007	—	2	2	no	—
181	#13094006	—	2	2	no	—
182	#13094006	—	2	2	no	—
183	#13094005	—	2	2	no	—
184	#13094005	—	2	2	no	—
185	#13094004	—	2	2	no	—
186	#13094004	C₂³	1	2	yes	—
187	#13094003	—	2	2	no	—
188	#13094003	C₂³	1	2	yes	—
189	#13094002	—	2	2	no	—
190	#13094002	—	2	2	no	—
191	#13094002	—	2	2	no	—
192	#13094001	—	2	2	no	—
193	#13094000	C₂³	1	2	yes	—
194	#13093999	—	2	2	no	—
195	#13093999	—	2	2	no	—
196	#13093999	C₂³	1	2	yes	—
197	#13093998	C₂³	1	2	yes	—
198	#13093997	—	2	2	no	—
199	#13093996	—	2	2	no	—
200	#13093995	—	2	2	no	—
201	#13093995	C₂³	1	2	yes	—
202	#13093994	—	2	2	no	—
203	#13093992	—	2	2	no	—
204	Q₈×Dic₄₇	C₂³	1	2	yes	—
205	C₄×Dic₉₄	C₂³	1	2	yes	—
206	#13093989	—	2	2	no	—
207	#13093989	—	2	2	no	—
208	#13093989	C₂³	1	2	yes	—
209	C₄×D₁₈₈	—	2	2	no	—
210	C₄×D₁₈₈	C₂³	1	2	yes	—
211	D₄×Dic₄₇	—	2	2	no	—
212	D₄×Dic₄₇	—	2	2	no	—
213	D₄×Dic₄₇	C₂³	1	2	yes	—
214	#13093986	—	2	2	no	—
215	#13093986	—	2	2	no	—
216	#13093986	—	2	2	no	—
217	#13093986	C₂³	1	2	yes	—
218	C₄×C₂²⋊D₄₇	—	2	2	no	—
219	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
220	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
221	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
222	#13093983	C₂³	1	1	yes	characteristic
223	#13093982	—	2	2	no	—
224	#13093982	D₄	1	2	yes	—
225	#13093982	C₂³	1	2	yes	—
226	#13093982	C₂³	1	2	yes	—
227	#13093981	C₂³	1	1	yes	characteristic
228	#13093981	C₂³	1	1	yes	characteristic
229	#13093980	—	2	2	no	—
230	#13093980	D₄	1	2	yes	—
231	C₄⋊C₄×D₄₇	D₄	1	2	yes	—
232	C₂²⋊C₄×D₄₇	D₄	1	2	yes	—
233	C₂×C₄×Dic₄₇	—	2	2	no	—
234	C₄²×D₄₇	—	2	2	no	—
235	C₄²×D₄₇	C₂³	1	1	yes	characteristic
236	C₄²×D₄₇	C₂³	1	1	yes	characteristic
237	#13093958	C₂³	1	2	yes	—
238	#13093957	C₂³	1	2	yes	—
239	#13093957	C₂³	1	2	yes	—
240	#13093956	C₂³	1	2	yes	—
241	#13093955	C₂³	1	2	yes	—
242	#13093955	C₂³	1	2	yes	—
243	#13093949	C₂³	1	2	yes	—
244	#13093949	C₂³	1	2	yes	—
245	#13093948	C₂³	1	2	yes	—
246	#13093948	C₂³	1	2	yes	—
247	#13093947	C₂³	1	2	yes	—
248	#13093947	C₂³	1	2	yes	—
249	#13093946	C₂³	1	2	yes	—
250	#13093946	C₂³	1	2	yes	—
251	#13093945	C₂³	1	2	yes	—
252	#13093945	C₂³	1	2	yes	—
253	#13093944	C₂³	1	2	yes	—
254	#13093944	C₂³	1	2	yes	—
255	#13093935	C₂³	1	1	yes	characteristic
256	#13093935	C₂³	1	1	yes	characteristic
257	#13093934	C₂³	1	1	yes	characteristic
258	#13093934	C₂³	1	1	yes	characteristic
259	#13093934	C₂³	1	1	yes	characteristic
260	#13093934	C₂³	1	1	yes	characteristic
261	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
262	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
263	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
264	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
265	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
266	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	—
268	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	—
269	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
271	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
272	#127×C₄₇	C₂³	1	1	yes	characteristic
273	#126×C₄₇	—	2	2	no	—
274	#125×C₄₇	—	2	2	no	—
275	#125×C₄₇	C₂³	1	1	yes	characteristic
276	#125×C₄₇	C₂³	1	1	yes	characteristic
277	#123×C₄₇	—	2	2	no	—
278	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
279	#121×C₄₇	—	2	2	no	—
280	#121×C₄₇	C₂³	1	2	yes	—
281	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
282	C₄×D₄×C₄₇	C₂³	1	2	yes	—
283	#117×C₄₇	C₂³	1	1	yes	characteristic
284	#107×C₄₇	C₂³	1	2	yes	—
285	#106×C₄₇	C₂³	1	2	yes	—
286	#103×C₄₇	C₂³	1	2	yes	—
287	#103×C₄₇	C₂³	1	2	yes	—
288	#102×C₄₇	C₂³	1	2	yes	—
289	#102×C₄₇	C₂³	1	2	yes	—
290	#97×C₄₇	C₂³	1	1	yes	characteristic
291	#97×C₄₇	C₂³	1	1	yes	characteristic
292	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
293	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₂³×D₄₇	C₂×D₄	1	1	yes	characteristic
295	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
296	C₂×D₄×C₄₇	—	2	2	no	—
297	C₂×D₄×C₄₇	—	2	2	no	—
298	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₄₇	—	2	2	no	—
300	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
301	C₂×C₂²⋊D₄₇	—	2	2	no	—
302	C₂×C₂²⋊D₄₇	—	2	2	no	—
303	C₂×C₂²⋊D₄₇	—	2	2	no	—
304	C₂²×Dic₄₇	—	2	2	no	—
305	C₂²×Dic₄₇	—	2	2	no	—
306	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
307	#10625354	—	2	4	no	—
308	#10625354	—	2	4	no	—
309	#10625352	—	2	4	no	—
310	#10625352	—	2	4	no	—
311	C₂×D₁₈₈	—	2	2	no	—
312	C₂×D₁₈₈	—	2	2	no	—
313	C₂×D₁₈₈	—	2	2	no	—
314	C₂×D₁₈₈	C₂⁴	1	2	yes	—
315	C₂×C₄×D₄₇	—	2	2	no	—
316	C₂×C₄×D₄₇	—	2	2	no	—
317	C₂×C₄×D₄₇	—	2	2	no	—
318	C₂×C₄×D₄₇	—	2	2	no	—
319	C₂×C₄×D₄₇	—	2	2	no	—
320	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
321	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
322	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
323	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
324	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
325	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
326	C₂×Dic₉₄	—	2	2	no	—
327	C₂×Dic₉₄	—	2	2	no	—
328	C₂×Dic₉₄	C₂⁴	1	2	yes	—
329	SD₁₆×C₄₇	—	2	4	no	—
330	SD₁₆×C₄₇	—	2	4	no	—
331	M₁₆×C₄₇	—	2	2	no	—
332	C₂×C₈×C₄₇	—	2	2	no	—
333	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
334	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
335	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
336	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
337	C₄⋊C₄×C₄₇	—	2	2	no	—
338	C₄⋊C₄×C₄₇	—	2	2	no	—
339	C₄⋊C₄×C₄₇	—	2	2	no	—
340	C₄⋊C₄×C₄₇	—	2	2	no	—
341	C₄⋊C₄×C₄₇	—	2	2	no	—
342	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
343	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
344	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
345	C₂²⋊C₄×C₄₇	—	2	2	no	—
346	C₂²⋊C₄×C₄₇	—	2	2	no	—
347	C₂²⋊C₄×C₄₇	—	2	2	no	—
348	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
349	C₄²×C₄₇	—	2	2	no	—
350	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
351	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
352	C₂²⋊Dic₄₇	—	2	2	no	—
353	C₂²⋊Dic₄₇	—	2	2	no	—
354	C₂²⋊Dic₄₇	—	2	2	no	—
355	C₂²⋊Dic₄₇	—	2	2	no	—
356	C₂²⋊Dic₄₇	—	2	2	no	—
357	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
358	#10625337	—	2	4	no	—
359	#10625337	—	2	4	no	—
360	#10625334	—	2	4	no	—
361	#10625334	—	2	4	no	—
362	(C₂×D₄₇)⋊C₄	—	2	2	no	—
363	(C₂×D₄₇)⋊C₄	—	2	2	no	—
364	(C₂×D₄₇)⋊C₄	—	2	2	no	—
365	(C₂×D₄₇)⋊C₄	—	2	2	no	—
366	(C₂×D₄₇)⋊C₄	—	2	2	no	—
367	(C₂×D₄₇)⋊C₄	—	2	2	no	—
368	(C₂×D₄₇)⋊C₄	—	2	2	no	—
369	(C₂×D₄₇)⋊C₄	—	2	2	no	—
370	(C₂×D₄₇)⋊C₄	—	2	2	no	—
371	(C₂×D₄₇)⋊C₄	—	2	2	no	—
372	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
373	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
374	C₄⋊Dic₄₇	—	2	2	no	—
375	C₄⋊Dic₄₇	—	2	2	no	—
376	C₄⋊Dic₄₇	—	2	2	no	—
377	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
378	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
379	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
380	Dic₄₇⋊C₄	—	2	2	no	—
381	Dic₄₇⋊C₄	—	2	2	no	—
382	Dic₄₇⋊C₄	—	2	2	no	—
383	Dic₄₇⋊C₄	—	2	2	no	—
384	Dic₄₇⋊C₄	—	2	2	no	—
385	Dic₄₇⋊C₄	—	2	2	no	—
386	Dic₄₇⋊C₄	—	2	2	no	—
387	Dic₄₇⋊C₄	—	2	2	no	—
388	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
389	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
390	C₄×Dic₄₇	—	2	2	no	—
391	C₄×Dic₄₇	—	2	2	no	—
392	C₄×Dic₄₇	—	2	2	no	—
393	C₄×Dic₄₇	—	2	2	no	—
394	C₄×Dic₄₇	—	2	2	no	—
395	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
396	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
397	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
398	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
399	#10625329	—	2	2	no	—
400	C₂×C₄₇⋊C₈	—	2	2	no	—
401	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
402	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
403	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
404	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
405	#10625325	—	2	4	no	—
406	#10625325	—	2	4	no	—
407	#10625324	—	2	2	no	—
408	#10625324	—	2	2	no	—
409	C₈×D₄₇	—	2	2	no	—
410	C₈×D₄₇	—	2	2	no	—
411	C₈×D₄₇	—	2	2	no	—
412	C₈×D₄₇	—	2	2	no	—
413	C₈×D₄₇	#41	1	4	yes	—
414	C₈×D₄₇	#41	1	4	yes	—
415	C₂³×C₄₇	—	2	2	no	—
416	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
417	C₂²×D₄₇	—	2	2	no	—
418	C₂²×D₄₇	—	2	2	no	—
419	C₂²×D₄₇	—	4	2	no	—
420	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
421	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
422	Q₈×C₄₇	—	2	2	no	—
423	Q₈×C₄₇	—	2	2	no	—
424	D₄×C₄₇	—	2	2	no	—
425	D₄×C₄₇	—	2	2	no	—
426	D₄×C₄₇	—	8	2	no	—
427	D₄×C₄₇	—	8	2	no	—
428	C₂×C₄×C₄₇	—	2	1	no	—
429	C₂×C₄×C₄₇	—	2	1	no	—
430	C₂×C₄×C₄₇	—	2	2	no	—
431	C₂×C₄×C₄₇	—	2	2	no	—
432	C₂×C₄×C₄₇	—	2	2	no	—
433	C₂×C₄×C₄₇	—	8	2	no	—
434	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
436	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
437	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
438	C₂²⋊D₄₇	—	4	4	no	—
439	C₂²⋊D₄₇	—	8	2	no	—
440	C₂²⋊D₄₇	—	8	2	no	—
441	C₂×Dic₄₇	—	2	2	no	—
442	C₂×Dic₄₇	—	2	2	no	—
443	C₂×Dic₄₇	—	2	2	no	—
444	C₂×Dic₄₇	—	2	2	no	—
445	C₂×Dic₄₇	—	4	4	no	—
446	C₂×Dic₄₇	—	8	2	no	—
447	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
448	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
449	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
450	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
451	D₁₈₈	—	2	2	no	—
452	D₁₈₈	—	2	2	no	—
453	D₁₈₈	—	4	4	no	—
454	D₁₈₈	—	8	2	no	—
455	D₁₈₈	—	8	2	no	—
456	C₄×D₄₇	—	2	2	no	—
457	C₄×D₄₇	—	2	1	no	—
458	C₄×D₄₇	—	2	1	no	—
459	C₄×D₄₇	—	2	2	no	—
460	C₄×D₄₇	—	4	2	no	—
461	C₄×D₄₇	—	4	2	no	—
462	C₄×D₄₇	—	4	4	no	—
463	C₄×D₄₇	—	8	2	no	—
464	C₄×D₄₇	—	8	2	no	—
465	C₄×D₄₇	C₂×#41	1	2	yes	—
466	C₄×D₄₇	C₂×#41	1	2	yes	—
467	Dic₉₄	—	2	2	no	—
468	Dic₉₄	—	2	2	no	—
469	Dic₉₄	—	8	2	no	—
470	Dic₉₄	—	8	2	no	—
471	C₈×C₄₇	—	2	1	no	—
472	C₈×C₄₇	—	2	1	no	—
473	C₈×C₄₇	C₂×#41	1	2	yes	—
474	C₈×C₄₇	C₂×#41	1	2	yes	—
475	C₄₇⋊C₈	—	2	1	no	—
476	C₄₇⋊C₈	—	2	1	no	—
477	C₄₇⋊C₈	C₂×#41	1	2	yes	—
478	C₄₇⋊C₈	C₂×#41	1	2	yes	—
479	#60682	—	47	1	no	maximal, Sylow
480	C₂²×C₄₇	—	2	2	no	—
481	C₂²×C₄₇	—	2	1	no	—
482	C₂²×C₄₇	—	4	2	no	—
483	C₂²×C₄₇	—	4	2	no	—
484	C₂²×C₄₇	—	4	2	no	—
485	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
486	C₂×D₄₇	—	2	2	no	—
487	C₂×D₄₇	—	2	2	no	—
488	C₂×D₄₇	—	2	1	no	—
489	C₂×D₄₇	—	4	4	no	—
490	C₂×D₄₇	—	4	2	no	—
491	C₂×D₄₇	—	4	2	no	—
492	C₂×D₄₇	—	4	2	no	—
493	C₂×D₄₇	#532	1	2	yes	—
494	C₄×C₄₇	—	2	2	no	—
495	C₄×C₄₇	—	2	2	no	—
496	C₄×C₄₇	—	2	1	no	—
497	C₄×C₄₇	—	4	2	no	—
498	C₄×C₄₇	—	4	2	no	—
499	C₄×C₄₇	—	4	2	no	—
500	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
501	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
502	Dic₄₇	—	2	2	no	—
503	Dic₄₇	—	2	2	no	—
504	Dic₄₇	—	2	1	no	—
505	Dic₄₇	—	4	2	no	—
506	Dic₄₇	—	4	2	no	—
507	Dic₄₇	—	4	2	no	—
508	Dic₄₇	#532	1	2	yes	—
509	#3455	—	47	1	no	—
510	#3455	—	47	1	no	—
511	#3177	—	47	1	no	—
512	#3177	—	47	1	no	—
513	#3176	—	47	1	no	—
514	#3176	—	47	1	no	—
515	#3175	—	47	2	no	—
516	#3175	—	47	2	no	—
517	#3174	—	47	1	no	—
518	#3174	—	47	1	no	—
519	#3174	—	47	1	no	—
520	#3174	D₄₇	1	1	yes	characteristic, complemented
521	#3173	—	47	2	no	—
522	#3173	—	47	2	no	—
523	#3160	—	47	1	no	—
524	#3147	—	47	1	no	—
525	#3135	—	47	1	no	—
526	#3135	—	47	1	no	—
527	#3054	—	47	2	no	—
528	#3050	—	47	2	no	—
529	#2943	—	47	2	no	—
530	C₄×#135	—	47	2	no	—
531	C₂×#405	—	47	1	no	—
532	C₂×C₄₇	—	4	1	no	—
533	C₂×C₄₇	—	8	2	no	—
534	C₂×C₄₇	C₂×#532	1	1	yes	characteristic
535	C₂×C₄₇	#3584	1	2	yes	—
536	D₄₇	—	2	2	no	—
537	D₄₇	—	4	1	no	—
538	D₄₇	—	8	2	no	—
539	C₂×#135	—	47	2	no	—
540	C₂×#135	—	47	2	no	—
541	C₂²×M₁₆	—	47	1	no	—
542	C₂³×C₈	—	47	1	no	—
543	#542	—	47	2	no	—
544	#542	—	47	2	no	—
545	#542	—	47	2	no	—
546	#542	—	47	2	no	—
547	#541	—	47	1	no	—
548	#541	—	47	1	no	—
549	#541	—	47	1	no	—
550	#541	C₂×D₄₇	1	1	yes	characteristic
551	#540	—	47	1	no	—
552	#540	—	47	1	no	—
553	#540	—	47	1	no	—
554	#540	C₂×D₄₇	1	1	yes	characteristic
555	#539	—	94	2	no	—
556	#539	—	94	2	no	—
557	#538	—	94	2	no	—
558	#538	—	94	2	no	—
559	#533	—	47	1	no	—
560	#533	—	47	1	no	—
561	#532	—	47	1	no	—
562	#532	—	47	1	no	—
563	#529	—	94	2	no	—
564	#529	—	94	2	no	—
565	#529	—	94	2	no	—
566	#529	—	94	2	no	—
567	#525	—	47	2	no	—
568	#525	—	47	2	no	—
569	C₄×#41	—	47	2	no	—
570	C₄×#41	—	47	2	no	—
571	C₂×#117	—	47	1	no	—
572	#500	—	47	2	no	—
573	#499	—	47	1	no	—
574	#499	—	47	1	no	—
575	#499	—	47	1	no	—
576	#499	C₂×D₄₇	1	1	yes	characteristic, complemented
577	#498	—	47	2	no	—
578	#495	—	47	2	no	—
579	#495	—	47	2	no	—
580	#494	—	47	1	no	—
581	#493	—	47	1	no	—
582	#492	—	47	1	no	—
583	#492	C₂×D₄₇	1	1	yes	characteristic, complemented
584	#491	—	47	1	no	—
585	#491	—	47	1	no	—
586	#491	—	47	1	no	—
587	#491	C₂×D₄₇	1	1	yes	characteristic, complemented
588	#490	—	47	1	no	—
589	#490	—	47	1	no	—
590	#490	—	47	1	no	—
591	#490	C₂×D₄₇	1	1	yes	characteristic, complemented
592	#489	—	47	2	no	—
593	#489	—	47	2	no	—
594	#489	—	47	2	no	—
595	#489	—	47	2	no	—
596	#470	—	47	2	no	—
597	#470	—	47	2	no	—
598	#469	—	47	2	no	—
599	#469	—	47	2	no	—
600	#468	—	47	2	no	—
601	#468	—	47	2	no	—
602	#468	—	47	2	no	—
603	#468	C₂×D₄₇	1	2	yes	—
604	#467	—	47	2	no	—
605	#467	—	47	2	no	—
606	#466	—	47	2	no	—
607	#466	—	47	2	no	—
608	#465	—	47	2	no	—
609	#465	—	47	2	no	—
610	#465	—	47	2	no	—
611	#465	C₂×D₄₇	1	2	yes	—
612	#442	—	47	2	no	—
613	#442	—	47	2	no	—
614	#441	—	47	2	no	—
615	#441	—	47	2	no	—
616	#440	—	47	2	no	—
617	#440	—	47	2	no	—
618	#440	—	47	2	no	—
619	#440	C₂×D₄₇	1	2	yes	complemented
620	C₄×Q₁₆	—	47	2	no	—
621	C₄×Q₁₆	—	47	2	no	—
622	C₄×SD₁₆	—	47	2	no	—
623	C₄×SD₁₆	—	47	2	no	—
624	C₄×SD₁₆	—	47	2	no	—
625	C₄×SD₁₆	C₂×D₄₇	1	2	yes	complemented
626	C₄×D₈	—	47	2	no	—
627	C₄×D₈	—	47	2	no	—
628	#427	—	47	2	no	—
629	#427	—	47	2	no	—
630	#416	—	47	2	no	—
631	#416	—	47	2	no	—
632	#416	—	47	2	no	—
633	#416	—	47	2	no	—
634	#405	—	47	1	no	—
635	#405	—	47	1	no	—
636	#405	—	47	1	no	—
637	#405	—	47	1	no	—
638	#405	—	47	1	no	—
639	#405	—	47	1	no	—
640	#405	—	47	1	no	—
641	#405	C₂×D₄₇	1	1	yes	characteristic
642	C₂×#97	—	47	1	no	—
643	C₂×#97	—	47	1	no	—
644	C₂×C₄×C₈	—	47	1	no	—
645	C₂×C₄×C₈	—	47	1	no	—
646	C₄₇	#60682	1	1	yes	characteristic, complemented, Sylow
647	C₂×#41	—	47	2	no	—
648	C₂×#41	—	47	2	no	—
649	C₂³×C₄	—	47	1	no	—
650	#135	—	94	8	no	—
651	#135	—	94	8	no	—
652	C₂×Q₁₆	—	47	2	no	—
653	C₂×Q₁₆	—	47	2	no	—
654	C₂×SD₁₆	—	47	2	no	—
655	C₂×SD₁₆	—	47	2	no	—
656	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
657	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
658	C₂×D₈	—	47	2	no	—
659	C₂×D₈	—	47	2	no	—
660	C₂×M₁₆	—	47	1	no	—
661	C₂×M₁₆	—	47	1	no	—
662	C₂×M₁₆	—	47	1	no	—
663	C₂×M₁₆	—	94	4	no	—
664	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
665	C₂²×C₈	—	47	1	no	—
666	C₂²×C₈	—	47	1	no	—
667	C₂²×C₈	—	47	1	no	—
668	C₂²×C₈	—	47	1	no	—
669	C₂²×C₈	—	47	1	no	—
670	C₂²×C₈	—	47	1	no	—
671	C₂²×C₈	—	47	1	no	—
672	C₂²×C₈	—	94	4	no	—
673	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
674	C₄⋊Q₈	—	47	2	no	—
675	C₄⋊Q₈	—	47	2	no	—
676	C₄⋊Q₈	—	47	1	no	—
677	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
678	#127	—	47	1	no	—
679	#127	C₂²×D₄₇	1	1	yes	characteristic
680	#126	—	2	2	no	—
681	#126	—	94	2	no	—
682	#126	—	94	2	no	—
683	#126	—	94	2	no	—
684	#126	—	94	2	no	—
685	#126	—	94	2	no	—
686	#126	—	94	2	no	—
687	#126	—	94	2	no	—
688	#125	—	2	2	no	—
689	#125	—	47	1	no	—
690	#125	—	47	1	no	—
691	#125	—	94	2	no	—
692	#125	—	94	2	no	—
693	#125	—	94	2	no	—
694	#125	C₂²×D₄₇	1	1	yes	characteristic
695	#125	C₂²×D₄₇	1	1	yes	characteristic
696	#124	—	47	2	no	—
697	#124	—	47	2	no	—
698	#124	—	94	2	no	—
699	#124	—	94	2	no	—
700	#124	—	94	2	no	—
701	#124	—	94	2	no	—
702	#123	—	2	2	no	—
703	#123	—	94	2	no	—
704	#123	—	94	2	no	—
705	#123	—	94	2	no	—
706	#123	—	94	2	no	—
707	#123	—	94	2	no	—
708	#123	—	94	2	no	—
709	#123	—	94	2	no	—
710	#123	—	94	2	no	—
711	#123	—	94	2	no	—
712	C₂²⋊Q₈	—	47	2	no	—
713	C₂²⋊Q₈	—	47	2	no	—
714	C₂²⋊Q₈	—	47	2	no	—
715	C₂²⋊Q₈	—	94	2	no	—
716	C₂²⋊Q₈	—	94	2	no	—
717	C₂²⋊Q₈	—	94	2	no	—
718	C₂²⋊Q₈	—	94	2	no	—
719	C₂²⋊Q₈	—	94	2	no	—
720	C₂²⋊Q₈	—	94	2	no	—
721	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
722	#121	—	2	2	no	—
723	#121	—	47	2	no	—
724	#121	—	47	2	no	—
725	#121	—	47	2	no	—
726	#121	—	94	2	no	—
727	#121	—	94	2	no	—
728	#121	—	94	2	no	—
729	#121	—	94	2	no	—
730	#121	—	94	2	no	—
731	#121	C₂²×D₄₇	1	2	yes	—
732	#120	—	94	2	no	—
733	#120	—	94	2	no	—
734	C₄×Q₈	—	47	2	no	—
735	C₄×Q₈	—	47	2	no	—
736	C₄×Q₈	—	47	2	no	—
737	C₄×Q₈	—	94	2	no	—
738	C₄×Q₈	—	94	2	no	—
739	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
740	C₄×D₄	—	47	2	no	—
741	C₄×D₄	—	47	2	no	—
742	C₄×D₄	—	47	2	no	—
743	C₄×D₄	—	94	2	no	—
744	C₄×D₄	—	94	2	no	—
745	C₄×D₄	—	94	2	no	—
746	C₄×D₄	—	94	2	no	—
747	C₄×D₄	—	94	2	no	—
748	C₄×D₄	—	94	2	no	—
749	C₄×D₄	—	94	2	no	—
750	C₄×D₄	—	94	2	no	—
751	C₄×D₄	—	94	2	no	—
752	C₄×D₄	—	94	2	no	—
753	C₄×D₄	C₂²×D₄₇	1	2	yes	—
754	#117	—	47	1	no	—
755	#117	—	47	2	no	—
756	#117	—	47	2	no	—
757	#117	—	47	1	no	—
758	#117	—	47	1	no	—
759	#117	—	47	2	no	—
760	#117	—	47	2	no	—
761	#117	—	94	2	no	—
762	#117	—	94	2	no	—
763	#117	C₂²×D₄₇	1	1	yes	characteristic
764	C₂×C₄⋊C₄	—	47	2	no	—
765	C₂×C₂²⋊C₄	—	47	2	no	—
766	C₂×C₄²	—	47	1	no	—
767	C₂×C₄²	—	47	1	no	—
768	C₂×C₄²	—	94	2	no	—
769	C₂×C₄²	—	94	2	no	—
770	#107	—	47	2	no	—
771	#107	—	47	2	no	—
772	#107	—	47	2	no	—
773	#107	C₂²×D₄₇	1	2	yes	—
774	#106	—	47	2	no	—
775	#106	—	47	2	no	—
776	#106	—	47	2	no	—
777	#106	C₂²×D₄₇	1	2	yes	—
778	#103	—	47	2	no	—
779	#103	—	47	2	no	—
780	#103	—	47	2	no	—
781	#103	—	47	2	no	—
782	#103	—	47	2	no	—
783	#103	—	47	2	no	—
784	#103	C₂²×D₄₇	1	2	yes	—
785	#103	C₂²×D₄₇	1	2	yes	—
786	#102	—	47	2	no	—
787	#102	—	47	2	no	—
788	#102	—	47	2	no	—
789	#102	—	47	2	no	—
790	#102	—	47	2	no	—
791	#102	—	47	2	no	—
792	#102	C₂²×D₄₇	1	2	yes	—
793	#102	C₂²×D₄₇	1	2	yes	—
794	#97	—	47	1	no	—
795	#97	—	47	1	no	—
796	#97	—	47	1	no	—
797	#97	—	47	1	no	—
798	#97	—	47	1	no	—
799	#97	—	47	1	no	—
800	#97	C₂²×D₄₇	1	1	yes	characteristic
801	#97	C₂²×D₄₇	1	1	yes	characteristic
802	C₄×C₈	—	47	1	no	—
803	C₄×C₈	—	47	1	no	—
804	C₄×C₈	—	47	1	no	—
805	C₄×C₈	—	47	1	no	—
806	C₄×C₈	—	47	1	no	—
807	C₄×C₈	—	47	1	no	—
808	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
809	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
810	C₂⁴	—	47	1	no	—
811	#41	—	94	4	no	—
812	#41	—	94	4	no	—
813	#41	—	94	4	no	—
814	#41	—	94	4	no	—
815	C₂×Q₈	—	47	2	no	—
816	C₂×Q₈	—	94	2	no	—
817	C₂×Q₈	—	94	2	no	—
818	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	47	2	no	—
822	C₂×D₄	—	94	2	no	—
823	C₂×D₄	—	94	2	no	—
824	C₂×D₄	—	94	2	no	—
825	C₂×D₄	—	94	2	no	—
826	C₂×D₄	—	94	2	no	—
827	C₂×D₄	—	94	2	no	—
828	C₂×D₄	C₂³×D₄₇	1	2	yes	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	47	1	no	—
831	C₂²×C₄	—	47	1	no	—
832	C₂²×C₄	—	47	1	no	—
833	C₂²×C₄	—	47	1	no	—
834	C₂²×C₄	—	47	1	no	—
835	C₂²×C₄	—	47	2	no	—
836	C₂²×C₄	—	47	2	no	—
837	C₂²×C₄	—	94	2	no	—
838	C₂²×C₄	—	94	2	no	—
839	C₂²×C₄	—	94	2	no	—
840	C₂²×C₄	—	94	2	no	—
841	C₂²×C₄	—	94	2	no	—
842	C₂²×C₄	—	94	2	no	—
843	C₂²×C₄	—	94	2	no	—
844	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
845	Q₁₆	—	94	4	no	—
846	Q₁₆	—	94	4	no	—
847	SD₁₆	—	2	4	no	—
848	SD₁₆	—	2	4	no	—
849	SD₁₆	—	94	4	no	—
850	SD₁₆	—	94	4	no	—
851	D₈	—	94	4	no	—
852	D₈	—	94	4	no	—
853	M₁₆	—	2	2	no	—
854	M₁₆	—	94	2	no	—
855	M₁₆	—	94	2	no	—
856	M₁₆	—	94	2	no	—
857	C₂×C₈	—	2	2	no	—
858	C₂×C₈	—	47	1	no	—
859	C₂×C₈	—	47	1	no	—
860	C₂×C₈	—	47	4	no	—
861	C₂×C₈	—	47	4	no	—
862	C₂×C₈	—	47	1	no	—
863	C₂×C₈	—	47	1	no	—
864	C₂×C₈	—	94	2	no	—
865	C₂×C₈	—	94	2	no	—
866	C₂×C₈	—	94	2	no	—
867	C₂×C₈	—	94	2	no	—
868	C₂×C₈	—	94	2	no	—
869	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
870	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
871	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
872	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	47	2	no	—
879	C₄⋊C₄	—	47	2	no	—
880	C₄⋊C₄	—	47	2	no	—
881	C₄⋊C₄	—	47	2	no	—
882	C₄⋊C₄	—	47	2	no	—
883	C₄⋊C₄	—	94	2	no	—
884	C₄⋊C₄	—	94	2	no	—
885	C₄⋊C₄	—	94	2	no	—
886	C₄⋊C₄	—	94	2	no	—
887	C₄⋊C₄	—	94	2	no	—
888	C₄⋊C₄	—	94	2	no	—
889	C₄⋊C₄	—	94	2	no	—
890	C₄⋊C₄	—	94	2	no	—
891	C₄⋊C₄	—	94	2	no	—
892	C₄⋊C₄	—	94	2	no	—
893	C₄⋊C₄	—	94	2	no	—
894	C₄⋊C₄	D₄×D₄₇	1	2	yes	—
895	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
896	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	47	2	no	—
901	C₂²⋊C₄	—	47	2	no	—
902	C₂²⋊C₄	—	47	2	no	—
903	C₂²⋊C₄	—	94	2	no	—
904	C₂²⋊C₄	—	94	2	no	—
905	C₂²⋊C₄	—	94	2	no	—
906	C₂²⋊C₄	—	94	2	no	—
907	C₂²⋊C₄	—	94	2	no	—
908	C₂²⋊C₄	—	94	2	no	—
909	C₂²⋊C₄	—	94	2	no	—
910	C₂²⋊C₄	—	94	2	no	—
911	C₂²⋊C₄	—	94	2	no	—
912	C₂²⋊C₄	—	94	2	no	—
913	C₂²⋊C₄	—	94	2	no	—
914	C₂²⋊C₄	—	94	2	no	—
915	C₂²⋊C₄	—	94	2	no	—
916	C₂²⋊C₄	—	94	2	no	—
917	C₂²⋊C₄	—	94	2	no	—
918	C₂²⋊C₄	D₄×D₄₇	1	2	yes	—
919	C₄²	—	2	2	no	—
920	C₄²	—	47	2	no	—
921	C₄²	—	47	2	no	—
922	C₄²	—	47	1	no	—
923	C₄²	—	47	1	no	—
924	C₄²	—	94	2	no	—
925	C₄²	—	94	2	no	—
926	C₄²	—	94	2	no	—
927	C₄²	—	94	2	no	—
928	C₄²	—	94	2	no	—
929	C₄²	C₂³×D₄₇	1	1	yes	characteristic
930	C₄²	C₂³×D₄₇	1	1	yes	characteristic
931	C₂³	—	2	2	no	—
932	C₂³	—	47	1	no	—
933	C₂³	—	47	1	no	—
934	C₂³	—	94	2	no	—
935	C₂³	—	94	2	no	—
936	C₂³	—	188	2	no	—
937	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
938	Q₈	—	2	2	no	—
939	Q₈	—	2	2	no	—
940	Q₈	—	94	2	no	—
941	Q₈	—	94	2	no	—
942	Q₈	—	376	2	no	—
943	Q₈	—	376	2	no	—
944	D₄	—	2	2	no	—
945	D₄	—	2	2	no	—
946	D₄	—	8	2	no	—
947	D₄	—	8	2	no	—
948	D₄	—	94	2	no	—
949	D₄	—	94	2	no	—
950	D₄	—	376	2	no	—
951	D₄	—	376	2	no	—
952	D₄	—	376	2	no	—
953	D₄	—	376	2	no	—
954	D₄	—	188	4	no	—
955	D₄	—	188	4	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	8	2	no	—
962	C₂×C₄	—	47	1	no	—
963	C₂×C₄	—	47	2	no	—
964	C₂×C₄	—	47	2	no	—
965	C₂×C₄	—	47	2	no	—
966	C₂×C₄	—	47	2	no	—
967	C₂×C₄	—	47	1	no	—
968	C₂×C₄	—	94	2	no	—
969	C₂×C₄	—	94	2	no	—
970	C₂×C₄	—	94	2	no	—
971	C₂×C₄	—	94	1	no	—
972	C₂×C₄	—	94	1	no	—
973	C₂×C₄	—	94	2	no	—
974	C₂×C₄	—	94	2	no	—
975	C₂×C₄	—	94	2	no	—
976	C₂×C₄	—	376	2	no	—
977	C₂×C₄	—	376	2	no	—
978	C₂×C₄	—	376	2	no	—
979	C₂×C₄	—	188	2	no	—
980	C₂×C₄	—	188	2	no	—
981	C₂×C₄	—	188	4	no	—
982	C₂×C₄	—	188	4	no	—
983	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
984	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
985	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
986	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
987	C₈	—	2	1	no	—
988	C₈	—	2	1	no	—
989	C₈	—	47	2	no	—
990	C₈	—	47	2	no	—
991	C₈	—	94	1	no	—
992	C₈	—	94	1	no	—
993	C₈	#41×D₄₇	1	2	yes	—
994	C₈	#41×D₄₇	1	2	yes	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	1	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	2	no	—
1000	C₂²	—	47	2	no	—
1001	C₂²	—	94	2	no	—
1002	C₂²	—	94	2	no	—
1003	C₂²	—	94	1	no	—
1004	C₂²	—	188	4	no	—
1005	C₂²	—	188	2	no	—
1006	C₂²	—	188	2	no	—
1007	C₂²	—	188	2	no	—
1008	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1009	C₄	—	2	2	no	—
1010	C₄	—	2	2	no	—
1011	C₄	—	2	1	no	—
1012	C₄	—	4	2	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	47	2	no	—
1016	C₄	—	94	2	no	—
1017	C₄	—	94	2	no	—
1018	C₄	—	94	1	no	—
1019	C₄	—	188	2	no	—
1020	C₄	—	188	2	no	—
1021	C₄	—	188	2	no	—
1022	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1023	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1024	C₂	—	4	1	no	—
1025	C₂	—	8	2	no	—
1026	C₂	—	94	2	no	—
1027	C₂	—	376	2	no	—
1028	C₂	—	188	1	no	—
1029	C₂	#532×D₄₇	1	1	yes	characteristic
1030	C₂	#20258160	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3174	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3174	D₄₇
hypocenter	C₄₇	#60682
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3174

Complements

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

N	H ≅ G/N	type
1. #20256779	C₂	semidirect
2. #20256772	C₂	semidirect
3. #20254046	C₂	semidirect
4. #20254041	C₂	semidirect
5. #20254037	C₂	semidirect
6. #20254032	C₂	semidirect
7. #20254025	C₂	semidirect
8. #20254022	C₂	semidirect
9. #20254018	C₂	semidirect
10. #20254016	C₂	semidirect
11. #20254013	C₂	semidirect
12. #20254001	C₂	semidirect
13. #20253998	C₂	semidirect
14. #20253901	C₂	semidirect
15. #20253811	C₂	semidirect
16. #20253735	C₂	semidirect
17. #20253732	C₂	semidirect
18. #20252992	C₂	semidirect
19. #20252964	C₂	semidirect
20. #20252183	C₂	semidirect
21. C₄×#13094045	C₂	semidirect
22. #405×D₄₇	C₂	semidirect
23. C₄₇×#3174	C₂	semidirect
55. #15689527	C₂²	semidirect
56. #15689525	C₂²	semidirect
57. #15689522	C₂²	semidirect
58. #15689522	C₂²	semidirect
59. #15689520	C₂²	semidirect
60. #15689504	C₂²	semidirect
61. #15689504	C₂²	semidirect
62. #15689502	C₂²	semidirect
63. #15689499	C₂²	semidirect
64. #15689496	C₂²	semidirect
65. #15689493	C₂²	semidirect
66. #15689492	C₂²	semidirect
67. #15689491	C₂²	semidirect
68. #15689489	C₂²	semidirect
69. #15689488	C₂²	semidirect
70. #15689487	C₂²	semidirect
71. #15689484	C₂²	semidirect
72. #15689484	C₂²	semidirect
73. #15689481	C₂²	semidirect
74. #15689481	C₂²	semidirect
89. #15689233	C₂²	semidirect
90. #15689232	C₂²	semidirect
91. #15689228	C₂²	semidirect
92. #15689227	C₂²	semidirect
93. #15689225	C₂²	semidirect
94. #15689224	C₂²	semidirect
95. #15689222	C₂²	semidirect
96. C₄×#10625337	C₂²	semidirect
97. #15689215	C₂²	semidirect
98. C₄×#10625325	C₂²	semidirect
99. SD₁₆×Dic₄₇	C₂²	semidirect
100. #15689210	C₂²	semidirect
101. C₄×#10625334	C₂²	semidirect
102. #15689203	C₂²	semidirect
122. C₄₇×#499	C₂²	semidirect
123. C₄₇×#492	C₂²	semidirect
124. C₄₇×#491	C₂²	semidirect
125. C₄₇×#490	C₂²	semidirect
128. C₄₇×#440	C₂²	semidirect
129. C₄×SD₁₆×C₄₇	C₂²	semidirect
520. #3174	D₄₇	semidirect
576. #499	C₂×D₄₇	semidirect
583. #492	C₂×D₄₇	semidirect
587. #491	C₂×D₄₇	semidirect
591. #490	C₂×D₄₇	semidirect
619. #440	C₂×D₄₇	semidirect
625. C₄×SD₁₆	C₂×D₄₇	semidirect
646. C₄₇	#60682	semidirect

Maximal subgroups

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

subgroup	index
#20256779	2
#20256772	2
#20254046	2
#20254041	2
#20254037	2
#20254032	2
#20254025	2
#20254022	2
#20254018	2
#20254016	2
#20254013	2
#20254001	2
#20253998	2
#20253901	2
#20253811	2
#20253735	2
#20253732	2
#20252992	2
#20252964	2
#20252183	2
C₄×#13094045	2
#405×D₄₇	2
C₄₇×#3174	2
#60682	47