Subgroups — D₄₇×#3174 #27086080

Order 12032.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1048 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#541×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
2	#540×D₄₇	C₂	1	1	yes	maximal, characteristic
3	#20254019	C₂	1	1	yes	maximal, characteristic, complemented
4	#20254018	C₂	1	1	yes	maximal, characteristic, complemented
5	#20254017	C₂	1	1	yes	maximal, characteristic, complemented
6	#20254016	C₂	1	1	yes	maximal, characteristic, complemented
7	#20254015	C₂	1	1	yes	maximal, characteristic, complemented
8	#20254014	C₂	1	2	yes	maximal, complemented
9	#20254013	C₂	1	1	yes	maximal, characteristic, complemented
10	#20254012	C₂	1	2	yes	maximal, complemented
11	#20254011	C₂	1	2	yes	maximal, complemented
12	#20254010	C₂	1	1	yes	maximal, characteristic, complemented
13	#20254009	C₂	1	2	yes	maximal, complemented
14	#499×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
15	#492×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
16	#491×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
17	#490×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
18	#468×D₄₇	C₂	1	2	yes	maximal, complemented
19	#465×D₄₇	C₂	1	2	yes	maximal, complemented
20	#440×D₄₇	C₂	1	2	yes	maximal, complemented
21	C₄×SD₁₆×D₄₇	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×SD₁₆×D₄₇	C₂²	1	2	yes	—
25	C₂×SD₁₆×D₄₇	C₂²	1	2	yes	—
26	C₂×M₁₆×D₄₇	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
28	#15689736	C₂²	1	1	yes	characteristic, complemented
29	#15689735	C₂²	1	1	yes	characteristic, complemented
30	#15689734	C₂²	1	1	yes	characteristic, complemented
31	#15689733	C₂²	1	2	yes	complemented
32	#15689732	—	2	2	no	—
33	#15689731	C₂²	1	2	yes	complemented
34	#15689730	—	2	2	no	—
35	#15689729	C₂²	1	1	yes	characteristic
36	#15689728	C₂²	1	1	yes	characteristic
37	#15689727	C₂²	1	1	yes	characteristic
38	#15689726	C₂²	1	2	yes	—
39	#15689725	—	2	2	no	—
40	#15689724	C₂²	1	2	yes	—
41	#15689723	—	2	2	no	—
42	C₄⋊Q₈×D₄₇	C₂²	1	1	yes	characteristic
43	#127×D₄₇	C₂²	1	1	yes	characteristic
44	#126×D₄₇	—	2	2	no	—
45	#125×D₄₇	—	2	2	no	—
46	#125×D₄₇	C₂²	1	1	yes	characteristic
47	#125×D₄₇	C₂²	1	1	yes	characteristic
48	#123×D₄₇	—	2	2	no	—
49	C₂²⋊Q₈×D₄₇	C₂²	1	2	yes	—
50	#121×D₄₇	—	2	2	no	—
51	#121×D₄₇	C₂²	1	2	yes	—
52	C₄×Q₈×D₄₇	C₂²	1	2	yes	—
53	C₄×D₄×D₄₇	C₂²	1	2	yes	—
54	#117×D₄₇	C₂²	1	1	yes	characteristic
55	#15689525	C₂²	1	1	yes	characteristic, complemented
56	#15689524	C₂²	1	2	yes	complemented
57	#15689523	C₂²	1	2	yes	complemented
58	#15689522	C₂²	1	1	yes	characteristic, complemented
59	#15689522	C₂²	1	1	yes	characteristic, complemented
60	#15689497	C₂²	1	1	yes	characteristic, complemented
61	#15689496	C₂²	1	1	yes	characteristic, complemented
62	#15689495	C₂²	1	1	yes	characteristic, complemented
63	#15689494	C₂²	1	2	yes	complemented
64	#15689494	C₂²	1	2	yes	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	#15689490	C₂²	1	2	yes	complemented
69	#15689490	C₂²	1	2	yes	complemented
70	#15689489	C₂²	1	1	yes	characteristic, complemented
71	#15689488	C₂²	1	1	yes	characteristic, complemented
72	#15689487	C₂²	1	1	yes	characteristic, complemented
73	#15689486	C₂²	1	2	yes	complemented
74	#15689486	C₂²	1	2	yes	complemented
75	#15689372	C₂²	1	2	yes	complemented
76	#15689371	C₂²	1	2	yes	complemented
77	#15689370	C₂²	1	2	yes	complemented
78	#15689369	C₂²	1	2	yes	complemented
79	#15689368	C₂²	1	2	yes	complemented
80	#15689367	C₂²	1	2	yes	complemented
81	#15689366	C₂²	1	2	yes	complemented
82	#15689355	C₂²	1	2	yes	complemented
83	#15689354	C₂²	1	2	yes	complemented
84	#15689353	C₂²	1	2	yes	complemented
85	#15689352	C₂²	1	2	yes	complemented
86	#15689351	C₂²	1	2	yes	complemented
87	#15689350	C₂²	1	2	yes	complemented
88	#15689349	C₂²	1	2	yes	complemented
89	#15689226	C₂²	1	2	yes	complemented
90	#15689225	C₂²	1	2	yes	complemented
91	#15689224	C₂²	1	2	yes	complemented
92	#15689223	C₂²	1	2	yes	complemented
93	#15689222	C₂²	1	2	yes	complemented
94	#15689221	C₂²	1	2	yes	complemented
95	#15689220	C₂²	1	2	yes	complemented
96	#15689214	C₂²	1	2	yes	complemented
97	C₄×#10625325	C₂²	1	2	yes	complemented
98	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
99	C₄×#10625336	C₂²	1	2	yes	complemented
100	#15689210	C₂²	1	2	yes	complemented
101	C₄×#10625335	C₂²	1	2	yes	complemented
102	#15689208	C₂²	1	2	yes	complemented
103	#107×D₄₇	C₂²	1	2	yes	—
104	#106×D₄₇	C₂²	1	2	yes	—
105	#103×D₄₇	C₂²	1	2	yes	—
106	#103×D₄₇	C₂²	1	2	yes	—
107	#102×D₄₇	C₂²	1	2	yes	—
108	#102×D₄₇	C₂²	1	2	yes	—
109	#15689081	C₂²	1	1	yes	characteristic, complemented
110	#15689080	C₂²	1	1	yes	characteristic, complemented
111	#15689080	C₂²	1	1	yes	characteristic, complemented
112	#15689079	C₂²	1	1	yes	characteristic, complemented
113	#15689078	C₂²	1	1	yes	characteristic, complemented
114	#15689077	C₂²	1	1	yes	characteristic, complemented
115	#15689077	C₂²	1	1	yes	characteristic, complemented
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, complemented
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	complemented
127	C₄₇×#465	C₂²	1	2	yes	complemented
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, complemented
131	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
132	C₂×D₄×D₄₇	—	2	2	no	—
133	C₂×D₄×D₄₇	—	2	2	no	—
134	C₂×D₄×D₄₇	C₂³	1	2	yes	—
135	C₂²×C₄×D₄₇	—	2	2	no	—
136	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
137	C₂×#10625325	C₂³	1	2	yes	—
138	C₂×#10625325	C₂³	1	2	yes	—
139	C₂×#10625335	C₂³	1	2	yes	—
140	C₂×#10625335	C₂³	1	2	yes	—
141	C₂×#10625336	C₂³	1	2	yes	—
142	C₂×#10625336	C₂³	1	2	yes	—
143	SD₁₆×D₄₇	—	2	8	no	—
144	SD₁₆×D₄₇	—	2	8	no	—
145	C₂×#10625329	C₂³	1	1	yes	characteristic
146	C₂×#10625324	C₂³	1	1	yes	characteristic
147	C₂×#10625324	C₂³	1	1	yes	characteristic
148	M₁₆×D₄₇	—	2	4	no	—
149	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
150	C₂×C₈×D₄₇	—	2	4	no	—
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	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
157	#13094024	C₂³	1	1	yes	characteristic
158	#13094023	—	2	2	no	—
159	#13094022	C₂³	1	2	yes	—
160	#13094021	C₂³	1	1	yes	characteristic
161	#13094020	—	2	2	no	—
162	#13094020	C₂³	1	2	yes	—
163	#13094019	—	2	2	no	—
164	#13094019	—	2	2	no	—
165	#13094019	—	2	2	no	—
166	#13094018	—	2	2	no	—
167	#13094017	—	2	2	no	—
168	#13094017	—	2	2	no	—
169	#13094017	—	2	2	no	—
170	#13094016	—	2	2	no	—
171	#13094016	C₂³	1	1	yes	characteristic
172	#13094016	C₂³	1	1	yes	characteristic
173	#13094015	—	2	2	no	—
174	#13094015	—	2	2	no	—
175	#13094015	C₂³	1	2	yes	—
176	#13094015	C₂³	1	2	yes	—
177	#13094014	—	2	2	no	—
178	#13094014	—	2	2	no	—
179	#13094014	—	2	2	no	—
180	#13094014	—	2	2	no	—
181	#13094014	—	2	2	no	—
182	#13094014	—	2	2	no	—
183	#13094009	—	2	2	no	—
184	#13094009	—	2	2	no	—
185	#13094008	—	2	2	no	—
186	#13094007	—	2	2	no	—
187	#13094006	—	2	2	no	—
188	#13094006	—	2	2	no	—
189	#13094005	—	2	2	no	—
190	#13094004	C₂³	1	2	yes	—
191	#13094003	C₂³	1	2	yes	—
192	#13094002	—	2	2	no	—
193	#13094001	—	2	2	no	—
194	#13094000	C₂³	1	2	yes	—
195	#13093999	—	2	2	no	—
196	#13093999	C₂³	1	2	yes	—
197	#13093998	—	2	2	no	—
198	#13093998	C₂³	1	2	yes	—
199	#13093997	—	2	2	no	—
200	#13093997	—	2	2	no	—
201	#13093997	—	2	2	no	—
202	#13093996	—	2	2	no	—
203	#13093996	—	2	2	no	—
204	#13093996	—	2	2	no	—
205	#13093995	—	2	2	no	—
206	#13093995	C₂³	1	2	yes	—
207	Q₈×Dic₄₇	C₂³	1	2	yes	—
208	C₄×Dic₉₄	—	2	2	no	—
209	C₄×Dic₉₄	C₂³	1	2	yes	—
210	#13093989	—	2	2	no	—
211	#13093989	C₂³	1	2	yes	—
212	C₄×D₁₈₈	C₂³	1	2	yes	—
213	D₄×Dic₄₇	C₂³	1	2	yes	—
214	#13093986	C₂³	1	2	yes	—
215	C₄×C₂²⋊D₄₇	—	2	2	no	—
216	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
217	#13093983	C₂³	1	1	yes	characteristic
218	#13093982	D₄	1	2	yes	—
219	#13093981	C₂³	1	1	yes	characteristic
220	#13093981	C₂³	1	1	yes	characteristic
221	#13093980	D₄	1	2	yes	—
222	C₄⋊C₄×D₄₇	—	2	2	no	—
223	C₄⋊C₄×D₄₇	—	2	2	no	—
224	C₄⋊C₄×D₄₇	—	2	2	no	—
225	C₄⋊C₄×D₄₇	—	2	2	no	—
226	C₄⋊C₄×D₄₇	—	2	2	no	—
227	C₄⋊C₄×D₄₇	D₄	1	2	yes	—
228	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
229	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
230	C₂²⋊C₄×D₄₇	—	2	2	no	—
231	C₂²⋊C₄×D₄₇	—	2	2	no	—
232	C₂²⋊C₄×D₄₇	—	2	2	no	—
233	C₂²⋊C₄×D₄₇	D₄	1	2	yes	—
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	—	2	2	no	—
295	C₂³×D₄₇	C₂×D₄	1	1	yes	characteristic
296	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
297	C₂×D₄×C₄₇	—	2	2	no	—
298	C₂×D₄×C₄₇	—	2	2	no	—
299	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₄₇	—	2	2	no	—
301	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
302	C₂×C₂²⋊D₄₇	—	2	2	no	—
303	C₂×C₂²⋊D₄₇	—	2	2	no	—
304	C₂×C₂²⋊D₄₇	—	2	2	no	—
305	C₂×C₂²⋊D₄₇	—	2	2	no	—
306	C₂×C₂²⋊D₄₇	—	2	2	no	—
307	C₂²×Dic₄₇	—	2	2	no	—
308	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
309	Q₈×D₄₇	—	2	4	no	—
310	Q₈×D₄₇	—	2	4	no	—
311	D₄×D₄₇	—	2	4	no	—
312	D₄×D₄₇	—	2	4	no	—
313	D₄×D₄₇	—	8	4	no	—
314	D₄×D₄₇	—	8	4	no	—
315	C₂×D₁₈₈	—	2	2	no	—
316	C₂×D₁₈₈	—	2	2	no	—
317	C₂×D₁₈₈	C₂⁴	1	2	yes	—
318	C₂×C₄×D₄₇	—	2	2	no	—
319	C₂×C₄×D₄₇	—	2	2	no	—
320	C₂×C₄×D₄₇	—	2	2	no	—
321	C₂×C₄×D₄₇	—	2	2	no	—
322	C₂×C₄×D₄₇	—	2	2	no	—
323	C₂×C₄×D₄₇	—	2	2	no	—
324	C₂×C₄×D₄₇	—	2	2	no	—
325	C₂×C₄×D₄₇	—	8	4	no	—
326	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
327	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
328	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
329	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
330	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
331	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
332	C₂×Dic₉₄	—	2	2	no	—
333	C₂×Dic₉₄	C₂⁴	1	2	yes	—
334	SD₁₆×C₄₇	—	2	4	no	—
335	SD₁₆×C₄₇	—	2	4	no	—
336	M₁₆×C₄₇	—	2	2	no	—
337	C₂×C₈×C₄₇	—	2	2	no	—
338	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
339	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
340	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
341	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
342	C₄⋊C₄×C₄₇	—	2	2	no	—
343	C₄⋊C₄×C₄₇	—	2	2	no	—
344	C₄⋊C₄×C₄₇	—	2	2	no	—
345	C₄⋊C₄×C₄₇	—	2	2	no	—
346	C₄⋊C₄×C₄₇	—	2	2	no	—
347	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
348	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
349	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
350	C₂²⋊C₄×C₄₇	—	2	2	no	—
351	C₂²⋊C₄×C₄₇	—	2	2	no	—
352	C₂²⋊C₄×C₄₇	—	2	2	no	—
353	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
354	C₄²×C₄₇	—	2	2	no	—
355	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
356	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
357	C₂²⋊Dic₄₇	—	2	2	no	—
358	C₂²⋊Dic₄₇	—	2	2	no	—
359	C₂²⋊Dic₄₇	—	2	2	no	—
360	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
361	#10625336	—	2	4	no	—
362	#10625336	—	2	4	no	—
363	#10625335	—	2	4	no	—
364	#10625335	—	2	4	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	C₂×D₄	1	2	yes	—
372	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
373	C₄⋊Dic₄₇	—	2	2	no	—
374	C₄⋊Dic₄₇	—	2	2	no	—
375	C₄⋊Dic₄₇	—	2	2	no	—
376	C₄⋊Dic₄₇	—	2	2	no	—
377	C₄⋊Dic₄₇	—	2	2	no	—
378	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
379	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
380	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
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	—	2	2	no	—
389	Dic₄₇⋊C₄	—	2	2	no	—
390	Dic₄₇⋊C₄	—	2	2	no	—
391	Dic₄₇⋊C₄	—	2	2	no	—
392	Dic₄₇⋊C₄	—	2	2	no	—
393	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
394	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
395	C₄×Dic₄₇	—	2	2	no	—
396	C₄×Dic₄₇	—	2	2	no	—
397	C₄×Dic₄₇	—	2	2	no	—
398	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
399	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
400	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
401	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
402	#10625329	—	2	2	no	—
403	C₂×C₄₇⋊C₈	—	2	2	no	—
404	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
405	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
406	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
407	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
408	#10625325	—	2	4	no	—
409	#10625325	—	2	4	no	—
410	#10625324	—	2	2	no	—
411	#10625324	—	2	2	no	—
412	C₈×D₄₇	—	2	2	no	—
413	C₈×D₄₇	—	2	2	no	—
414	C₈×D₄₇	—	2	2	no	—
415	C₈×D₄₇	—	2	2	no	—
416	C₈×D₄₇	#41	1	4	yes	—
417	C₈×D₄₇	#41	1	4	yes	—
418	C₂³×C₄₇	—	2	2	no	—
419	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
420	C₂²×D₄₇	—	2	2	no	—
421	C₂²×D₄₇	—	2	4	no	—
422	C₂²×D₄₇	—	2	2	no	—
423	C₂²×D₄₇	—	4	4	no	—
424	C₂²×D₄₇	—	4	4	no	—
425	C₂²×D₄₇	—	4	4	no	—
426	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
427	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
428	Q₈×C₄₇	—	2	2	no	—
429	Q₈×C₄₇	—	2	2	no	—
430	D₄×C₄₇	—	2	2	no	—
431	D₄×C₄₇	—	2	2	no	—
432	D₄×C₄₇	—	8	2	no	—
433	D₄×C₄₇	—	8	2	no	—
434	C₂×C₄×C₄₇	—	2	1	no	—
435	C₂×C₄×C₄₇	—	2	1	no	—
436	C₂×C₄×C₄₇	—	2	2	no	—
437	C₂×C₄×C₄₇	—	2	2	no	—
438	C₂×C₄×C₄₇	—	2	2	no	—
439	C₂×C₄×C₄₇	—	8	2	no	—
440	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
442	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
443	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
444	C₂²⋊D₄₇	—	4	4	no	—
445	C₂²⋊D₄₇	—	8	2	no	—
446	C₂²⋊D₄₇	—	8	2	no	—
447	C₂²⋊D₄₇	—	8	2	no	—
448	C₂²⋊D₄₇	—	8	2	no	—
449	C₂×Dic₄₇	—	2	2	no	—
450	C₂×Dic₄₇	—	2	2	no	—
451	C₂×Dic₄₇	—	2	2	no	—
452	C₂×Dic₄₇	—	2	2	no	—
453	C₂×Dic₄₇	—	8	2	no	—
454	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
455	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
456	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
457	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
458	D₁₈₈	—	2	2	no	—
459	D₁₈₈	—	2	2	no	—
460	D₁₈₈	—	8	2	no	—
461	D₁₈₈	—	8	2	no	—
462	C₄×D₄₇	—	2	2	no	—
463	C₄×D₄₇	—	2	4	no	—
464	C₄×D₄₇	—	2	4	no	—
465	C₄×D₄₇	—	2	1	no	—
466	C₄×D₄₇	—	2	1	no	—
467	C₄×D₄₇	—	2	2	no	—
468	C₄×D₄₇	—	4	4	no	—
469	C₄×D₄₇	—	4	4	no	—
470	C₄×D₄₇	—	4	4	no	—
471	C₄×D₄₇	—	8	2	no	—
472	C₄×D₄₇	—	8	2	no	—
473	C₄×D₄₇	C₂×#41	1	2	yes	—
474	C₄×D₄₇	C₂×#41	1	2	yes	—
475	Dic₉₄	—	2	2	no	—
476	Dic₉₄	—	2	2	no	—
477	Dic₉₄	—	4	4	no	—
478	C₈×C₄₇	—	2	1	no	—
479	C₈×C₄₇	—	2	1	no	—
480	C₈×C₄₇	C₂×#41	1	2	yes	—
481	C₈×C₄₇	C₂×#41	1	2	yes	—
482	C₄₇⋊C₈	—	2	1	no	—
483	C₄₇⋊C₈	—	2	1	no	—
484	C₄₇⋊C₈	C₂×#41	1	2	yes	—
485	C₄₇⋊C₈	C₂×#41	1	2	yes	—
486	C₂×#3174	—	47	1	no	maximal, Sylow
487	C₂²×C₄₇	—	2	1	no	—
488	C₂²×C₄₇	—	2	2	no	—
489	C₂²×C₄₇	—	4	2	no	—
490	C₂²×C₄₇	—	4	2	no	—
491	C₂²×C₄₇	—	4	2	no	—
492	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
493	C₂×D₄₇	—	2	1	no	—
494	C₂×D₄₇	—	2	2	no	—
495	C₂×D₄₇	—	4	4	no	—
496	C₂×D₄₇	—	4	2	no	—
497	C₂×D₄₇	—	4	2	no	—
498	C₂×D₄₇	—	4	2	no	—
499	C₂×D₄₇	—	8	8	no	—
500	C₂×D₄₇	#532	1	2	yes	—
501	C₂×D₄₇	#577	1	4	yes	—
502	C₄×C₄₇	—	2	1	no	—
503	C₄×C₄₇	—	2	2	no	—
504	C₄×C₄₇	—	2	2	no	—
505	C₄×C₄₇	—	4	2	no	—
506	C₄×C₄₇	—	4	2	no	—
507	C₄×C₄₇	—	4	2	no	—
508	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
509	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
510	Dic₄₇	—	2	1	no	—
511	Dic₄₇	—	2	2	no	—
512	Dic₄₇	—	2	2	no	—
513	Dic₄₇	—	4	2	no	—
514	Dic₄₇	—	4	2	no	—
515	Dic₄₇	—	4	2	no	—
516	Dic₄₇	#532	1	2	yes	—
517	C₂×#541	—	47	1	no	—
518	C₂×#540	—	47	1	no	—
519	#3174	—	47	1	no	—
520	#3174	—	47	1	no	—
521	#3174	—	47	1	no	—
522	#3174	—	47	1	no	—
523	#3174	—	47	2	no	—
524	#3174	—	47	2	no	—
525	#3174	—	47	2	no	—
526	#3174	—	47	2	no	—
527	#3174	—	47	1	no	—
528	#3174	—	47	1	no	—
529	#3174	—	47	1	no	—
530	#3174	D₄₇	1	1	yes	characteristic, direct product factor
531	C₂×#499	—	47	1	no	—
532	C₂×#492	—	47	1	no	—
533	C₂×#491	—	47	1	no	—
534	C₂×#490	—	47	1	no	—
535	C₂×#468	—	47	2	no	—
536	C₂×#465	—	47	2	no	—
537	C₂×#440	—	47	2	no	—
538	C₂×C₄×SD₁₆	—	47	2	no	—
539	C₂×#405	—	47	1	no	—
540	C₂×C₄₇	—	4	1	no	—
541	C₂×C₄₇	—	8	2	no	—
542	C₂×C₄₇	C₂×#532	1	1	yes	characteristic
543	C₂×C₄₇	C₂×#577	1	2	yes	—
544	D₄₇	—	4	1	no	—
545	D₄₇	—	8	2	no	—
546	D₄₇	#3174	1	4	yes	direct product factor
547	C₂²×SD₁₆	—	47	2	no	—
548	C₂²×SD₁₆	—	47	2	no	—
549	C₂²×M₁₆	—	47	1	no	—
550	C₂³×C₈	—	47	1	no	—
551	#541	—	47	1	no	—
552	#541	—	47	1	no	—
553	#541	—	47	2	no	—
554	#541	—	47	2	no	—
555	#541	—	47	1	no	—
556	#541	—	94	2	no	—
557	#541	—	94	2	no	—
558	#541	C₂×D₄₇	1	1	yes	characteristic, complemented
559	#540	—	47	1	no	—
560	#540	—	47	1	no	—
561	#540	—	47	2	no	—
562	#540	—	47	2	no	—
563	#540	—	47	1	no	—
564	#540	—	94	2	no	—
565	#540	—	94	2	no	—
566	#540	C₂×D₄₇	1	1	yes	characteristic
567	C₂×C₄⋊Q₈	—	47	1	no	—
568	C₂×#127	—	47	1	no	—
569	C₂×#126	—	94	2	no	—
570	C₂×#125	—	47	1	no	—
571	C₂×#125	—	47	1	no	—
572	C₂×#125	—	94	2	no	—
573	C₂×#123	—	94	2	no	—
574	C₂×C₂²⋊Q₈	—	47	2	no	—
575	C₂×#121	—	47	2	no	—
576	C₂×#121	—	94	2	no	—
577	C₂×C₄×Q₈	—	47	2	no	—
578	C₂×C₄×D₄	—	47	2	no	—
579	C₂×#117	—	47	1	no	—
580	#499	—	47	1	no	—
581	#499	—	47	1	no	—
582	#499	—	47	2	no	—
583	#499	—	47	2	no	—
584	#499	—	47	1	no	—
585	#499	C₂×D₄₇	1	1	yes	characteristic, complemented
586	#492	—	47	2	no	—
587	#492	—	47	2	no	—
588	#492	—	47	1	no	—
589	#492	—	47	1	no	—
590	#492	—	47	1	no	—
591	#492	C₂×D₄₇	1	1	yes	characteristic, complemented
592	#491	—	47	1	no	—
593	#491	—	47	1	no	—
594	#491	—	47	2	no	—
595	#491	—	47	2	no	—
596	#491	—	47	1	no	—
597	#491	C₂×D₄₇	1	1	yes	characteristic, complemented
598	#490	—	47	1	no	—
599	#490	—	47	1	no	—
600	#490	—	47	2	no	—
601	#490	—	47	2	no	—
602	#490	—	47	1	no	—
603	#490	C₂×D₄₇	1	1	yes	characteristic, complemented
604	#468	—	47	2	no	—
605	#468	—	47	2	no	—
606	#468	—	47	2	no	—
607	#468	—	47	2	no	—
608	#468	—	47	2	no	—
609	#468	—	47	2	no	—
610	#468	—	47	2	no	—
611	#468	C₂×D₄₇	1	2	yes	complemented
612	#465	—	47	2	no	—
613	#465	—	47	2	no	—
614	#465	—	47	2	no	—
615	#465	—	47	2	no	—
616	#465	—	47	2	no	—
617	#465	—	47	2	no	—
618	#465	—	47	2	no	—
619	#465	C₂×D₄₇	1	2	yes	complemented
620	#440	—	47	2	no	—
621	#440	—	47	2	no	—
622	#440	—	47	2	no	—
623	#440	—	47	2	no	—
624	#440	—	47	2	no	—
625	#440	—	47	2	no	—
626	#440	—	47	2	no	—
627	#440	C₂×D₄₇	1	2	yes	complemented
628	C₄×SD₁₆	—	47	2	no	—
629	C₄×SD₁₆	—	47	2	no	—
630	C₄×SD₁₆	—	47	2	no	—
631	C₄×SD₁₆	—	47	2	no	—
632	C₄×SD₁₆	—	47	2	no	—
633	C₄×SD₁₆	—	47	2	no	—
634	C₄×SD₁₆	—	47	2	no	—
635	C₄×SD₁₆	C₂×D₄₇	1	2	yes	complemented
636	C₂×#107	—	47	2	no	—
637	C₂×#106	—	47	2	no	—
638	C₂×#103	—	47	2	no	—
639	C₂×#103	—	47	2	no	—
640	C₂×#102	—	47	2	no	—
641	C₂×#102	—	47	2	no	—
642	#405	—	47	1	no	—
643	#405	—	47	1	no	—
644	#405	—	47	1	no	—
645	#405	—	47	1	no	—
646	#405	—	47	1	no	—
647	#405	—	47	1	no	—
648	#405	—	47	1	no	—
649	#405	C₂×D₄₇	1	1	yes	characteristic, complemented
650	C₂×#97	—	47	1	no	—
651	C₂×#97	—	47	1	no	—
652	C₂×C₄×C₈	—	47	1	no	—
653	C₂×C₄×C₈	—	47	1	no	—
654	C₄₇	C₂×#3174	1	1	yes	characteristic, complemented, Sylow
655	C₂²×Q₈	—	47	2	no	—
656	C₂²×D₄	—	47	2	no	—
657	C₂²×D₄	—	94	2	no	—
658	C₂²×D₄	—	94	2	no	—
659	C₂³×C₄	—	47	1	no	—
660	C₂³×C₄	—	94	2	no	—
661	C₂×SD₁₆	—	47	2	no	—
662	C₂×SD₁₆	—	47	2	no	—
663	C₂×SD₁₆	—	47	2	no	—
664	C₂×SD₁₆	—	47	2	no	—
665	C₂×SD₁₆	—	47	2	no	—
666	C₂×SD₁₆	—	47	2	no	—
667	C₂×SD₁₆	—	94	8	no	—
668	C₂×SD₁₆	—	94	8	no	—
669	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
670	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
671	C₂×M₁₆	—	47	1	no	—
672	C₂×M₁₆	—	47	1	no	—
673	C₂×M₁₆	—	47	1	no	—
674	C₂×M₁₆	—	94	4	no	—
675	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
676	C₂²×C₈	—	47	1	no	—
677	C₂²×C₈	—	47	1	no	—
678	C₂²×C₈	—	47	1	no	—
679	C₂²×C₈	—	47	1	no	—
680	C₂²×C₈	—	47	1	no	—
681	C₂²×C₈	—	47	1	no	—
682	C₂²×C₈	—	47	1	no	—
683	C₂²×C₈	—	94	4	no	—
684	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
685	C₄⋊Q₈	—	47	2	no	—
686	C₄⋊Q₈	—	47	1	no	—
687	C₄⋊Q₈	—	94	2	no	—
688	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
689	#127	—	47	2	no	—
690	#127	—	47	1	no	—
691	#127	—	94	2	no	—
692	#127	C₂²×D₄₇	1	1	yes	characteristic
693	#126	—	2	2	no	—
694	#126	—	94	2	no	—
695	#126	—	94	2	no	—
696	#126	—	94	2	no	—
697	#126	—	94	2	no	—
698	#126	—	94	2	no	—
699	#126	—	94	2	no	—
700	#126	—	94	2	no	—
701	#125	—	2	2	no	—
702	#125	—	47	2	no	—
703	#125	—	47	2	no	—
704	#125	—	47	1	no	—
705	#125	—	47	1	no	—
706	#125	—	94	2	no	—
707	#125	—	94	2	no	—
708	#125	—	94	2	no	—
709	#125	—	94	2	no	—
710	#125	—	94	2	no	—
711	#125	—	94	2	no	—
712	#125	—	94	2	no	—
713	#125	—	94	2	no	—
714	#125	—	94	2	no	—
715	#125	C₂²×D₄₇	1	1	yes	characteristic
716	#125	C₂²×D₄₇	1	1	yes	characteristic
717	#123	—	2	2	no	—
718	#123	—	94	2	no	—
719	#123	—	94	2	no	—
720	#123	—	94	2	no	—
721	#123	—	94	2	no	—
722	#123	—	94	2	no	—
723	#123	—	94	2	no	—
724	#123	—	94	2	no	—
725	C₂²⋊Q₈	—	47	2	no	—
726	C₂²⋊Q₈	—	47	2	no	—
727	C₂²⋊Q₈	—	47	2	no	—
728	C₂²⋊Q₈	—	94	2	no	—
729	C₂²⋊Q₈	—	94	2	no	—
730	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
731	#121	—	2	2	no	—
732	#121	—	47	2	no	—
733	#121	—	47	2	no	—
734	#121	—	47	2	no	—
735	#121	—	94	2	no	—
736	#121	—	94	2	no	—
737	#121	—	94	2	no	—
738	#121	—	94	2	no	—
739	#121	—	94	2	no	—
740	#121	—	94	2	no	—
741	#121	—	94	2	no	—
742	#121	—	94	2	no	—
743	#121	—	94	2	no	—
744	#121	C₂²×D₄₇	1	2	yes	—
745	C₄×Q₈	—	47	2	no	—
746	C₄×Q₈	—	47	2	no	—
747	C₄×Q₈	—	47	2	no	—
748	C₄×Q₈	—	94	2	no	—
749	C₄×Q₈	—	94	2	no	—
750	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
751	C₄×D₄	—	47	2	no	—
752	C₄×D₄	—	47	2	no	—
753	C₄×D₄	—	47	2	no	—
754	C₄×D₄	—	94	2	no	—
755	C₄×D₄	—	94	2	no	—
756	C₄×D₄	C₂²×D₄₇	1	2	yes	—
757	#117	—	47	1	no	—
758	#117	—	47	2	no	—
759	#117	—	47	2	no	—
760	#117	—	47	1	no	—
761	#117	—	47	1	no	—
762	#117	C₂²×D₄₇	1	1	yes	characteristic
763	C₂×C₄⋊C₄	—	47	2	no	—
764	C₂×C₄⋊C₄	—	47	2	no	—
765	C₂×C₄⋊C₄	—	47	2	no	—
766	C₂×C₄⋊C₄	—	94	2	no	—
767	C₂×C₄⋊C₄	—	94	2	no	—
768	C₂×C₄⋊C₄	—	94	2	no	—
769	C₂×C₄⋊C₄	—	94	2	no	—
770	C₂×C₄⋊C₄	—	94	2	no	—
771	C₂×C₂²⋊C₄	—	47	2	no	—
772	C₂×C₂²⋊C₄	—	94	2	no	—
773	C₂×C₂²⋊C₄	—	94	2	no	—
774	C₂×C₂²⋊C₄	—	94	2	no	—
775	C₂×C₄²	—	47	1	no	—
776	C₂×C₄²	—	47	1	no	—
777	C₂×C₄²	—	94	2	no	—
778	#107	—	47	2	no	—
779	#107	—	47	2	no	—
780	#107	—	47	2	no	—
781	#107	C₂²×D₄₇	1	2	yes	—
782	#106	—	47	2	no	—
783	#106	—	47	2	no	—
784	#106	—	47	2	no	—
785	#106	C₂²×D₄₇	1	2	yes	—
786	#103	—	47	2	no	—
787	#103	—	47	2	no	—
788	#103	—	47	2	no	—
789	#103	—	47	2	no	—
790	#103	—	47	2	no	—
791	#103	—	47	2	no	—
792	#103	C₂²×D₄₇	1	2	yes	—
793	#103	C₂²×D₄₇	1	2	yes	—
794	#102	—	47	2	no	—
795	#102	—	47	2	no	—
796	#102	—	47	2	no	—
797	#102	—	47	2	no	—
798	#102	—	47	2	no	—
799	#102	—	47	2	no	—
800	#102	C₂²×D₄₇	1	2	yes	—
801	#102	C₂²×D₄₇	1	2	yes	—
802	#97	—	47	1	no	—
803	#97	—	47	1	no	—
804	#97	—	47	1	no	—
805	#97	—	47	1	no	—
806	#97	—	47	1	no	—
807	#97	—	47	1	no	—
808	#97	C₂²×D₄₇	1	1	yes	characteristic
809	#97	C₂²×D₄₇	1	1	yes	characteristic
810	C₄×C₈	—	47	1	no	—
811	C₄×C₈	—	47	1	no	—
812	C₄×C₈	—	47	1	no	—
813	C₄×C₈	—	47	1	no	—
814	C₄×C₈	—	47	1	no	—
815	C₄×C₈	—	47	1	no	—
816	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
817	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
818	C₂⁴	—	47	1	no	—
819	C₂⁴	—	94	2	no	—
820	C₂×Q₈	—	47	2	no	—
821	C₂×Q₈	—	94	2	no	—
822	C₂×Q₈	—	94	4	no	—
823	C₂×Q₈	—	94	4	no	—
824	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	47	2	no	—
828	C₂×D₄	—	94	2	no	—
829	C₂×D₄	—	94	4	no	—
830	C₂×D₄	—	94	4	no	—
831	C₂×D₄	—	94	2	no	—
832	C₂×D₄	—	94	2	no	—
833	C₂×D₄	—	94	2	no	—
834	C₂×D₄	—	94	2	no	—
835	C₂×D₄	—	94	2	no	—
836	C₂×D₄	—	94	2	no	—
837	C₂×D₄	—	376	4	no	—
838	C₂×D₄	—	376	4	no	—
839	C₂×D₄	C₂³×D₄₇	1	2	yes	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	47	1	no	—
842	C₂²×C₄	—	47	1	no	—
843	C₂²×C₄	—	47	2	no	—
844	C₂²×C₄	—	47	2	no	—
845	C₂²×C₄	—	47	1	no	—
846	C₂²×C₄	—	47	1	no	—
847	C₂²×C₄	—	47	1	no	—
848	C₂²×C₄	—	94	2	no	—
849	C₂²×C₄	—	94	2	no	—
850	C₂²×C₄	—	94	2	no	—
851	C₂²×C₄	—	94	2	no	—
852	C₂²×C₄	—	94	2	no	—
853	C₂²×C₄	—	94	2	no	—
854	C₂²×C₄	—	94	2	no	—
855	C₂²×C₄	—	94	2	no	—
856	C₂²×C₄	—	376	4	no	—
857	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
858	SD₁₆	—	2	4	no	—
859	SD₁₆	—	2	4	no	—
860	SD₁₆	—	94	4	no	—
861	SD₁₆	—	94	4	no	—
862	SD₁₆	—	94	4	no	—
863	SD₁₆	—	94	4	no	—
864	SD₁₆	—	94	4	no	—
865	SD₁₆	—	94	4	no	—
866	M₁₆	—	2	2	no	—
867	M₁₆	—	94	2	no	—
868	M₁₆	—	94	2	no	—
869	M₁₆	—	94	2	no	—
870	C₂×C₈	—	2	2	no	—
871	C₂×C₈	—	47	1	no	—
872	C₂×C₈	—	47	1	no	—
873	C₂×C₈	—	47	4	no	—
874	C₂×C₈	—	47	4	no	—
875	C₂×C₈	—	47	1	no	—
876	C₂×C₈	—	47	1	no	—
877	C₂×C₈	—	94	2	no	—
878	C₂×C₈	—	94	2	no	—
879	C₂×C₈	—	94	2	no	—
880	C₂×C₈	—	94	2	no	—
881	C₂×C₈	—	94	2	no	—
882	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
883	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
884	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
885	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	2	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	47	2	no	—
892	C₄⋊C₄	—	47	2	no	—
893	C₄⋊C₄	—	47	2	no	—
894	C₄⋊C₄	—	47	2	no	—
895	C₄⋊C₄	—	47	2	no	—
896	C₄⋊C₄	—	94	2	no	—
897	C₄⋊C₄	—	94	2	no	—
898	C₄⋊C₄	—	94	2	no	—
899	C₄⋊C₄	—	94	2	no	—
900	C₄⋊C₄	—	94	2	no	—
901	C₄⋊C₄	—	94	2	no	—
902	C₄⋊C₄	—	94	2	no	—
903	C₄⋊C₄	—	94	2	no	—
904	C₄⋊C₄	—	94	2	no	—
905	C₄⋊C₄	—	94	2	no	—
906	C₄⋊C₄	—	94	2	no	—
907	C₄⋊C₄	—	94	2	no	—
908	C₄⋊C₄	—	94	2	no	—
909	C₄⋊C₄	—	94	2	no	—
910	C₄⋊C₄	—	94	2	no	—
911	C₄⋊C₄	—	94	2	no	—
912	C₄⋊C₄	—	94	2	no	—
913	C₄⋊C₄	D₄×D₄₇	1	2	yes	—
914	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
915	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	47	2	no	—
920	C₂²⋊C₄	—	47	2	no	—
921	C₂²⋊C₄	—	47	2	no	—
922	C₂²⋊C₄	—	94	2	no	—
923	C₂²⋊C₄	—	94	2	no	—
924	C₂²⋊C₄	—	94	2	no	—
925	C₂²⋊C₄	—	94	2	no	—
926	C₂²⋊C₄	—	94	2	no	—
927	C₂²⋊C₄	—	94	2	no	—
928	C₂²⋊C₄	—	94	2	no	—
929	C₂²⋊C₄	—	94	2	no	—
930	C₂²⋊C₄	—	94	2	no	—
931	C₂²⋊C₄	D₄×D₄₇	1	2	yes	—
932	C₄²	—	2	2	no	—
933	C₄²	—	47	2	no	—
934	C₄²	—	47	2	no	—
935	C₄²	—	47	1	no	—
936	C₄²	—	47	1	no	—
937	C₄²	—	94	2	no	—
938	C₄²	—	94	2	no	—
939	C₄²	—	94	2	no	—
940	C₄²	C₂³×D₄₇	1	1	yes	characteristic
941	C₄²	C₂³×D₄₇	1	1	yes	characteristic
942	C₂³	—	2	2	no	—
943	C₂³	—	47	1	no	—
944	C₂³	—	47	1	no	—
945	C₂³	—	94	2	no	—
946	C₂³	—	94	4	no	—
947	C₂³	—	94	2	no	—
948	C₂³	—	188	4	no	—
949	C₂³	—	188	4	no	—
950	C₂³	—	188	4	no	—
951	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
952	Q₈	—	2	2	no	—
953	Q₈	—	2	2	no	—
954	Q₈	—	94	2	no	—
955	Q₈	—	94	2	no	—
956	Q₈	—	188	4	no	—
957	D₄	—	2	2	no	—
958	D₄	—	2	2	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	2	no	—
961	D₄	—	94	2	no	—
962	D₄	—	94	2	no	—
963	D₄	—	376	2	no	—
964	D₄	—	376	2	no	—
965	D₄	—	376	2	no	—
966	D₄	—	376	2	no	—
967	D₄	—	376	2	no	—
968	D₄	—	376	2	no	—
969	D₄	—	188	4	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	8	2	no	—
976	C₂×C₄	—	47	1	no	—
977	C₂×C₄	—	47	2	no	—
978	C₂×C₄	—	47	2	no	—
979	C₂×C₄	—	47	2	no	—
980	C₂×C₄	—	47	2	no	—
981	C₂×C₄	—	47	1	no	—
982	C₂×C₄	—	94	2	no	—
983	C₂×C₄	—	94	2	no	—
984	C₂×C₄	—	94	4	no	—
985	C₂×C₄	—	94	4	no	—
986	C₂×C₄	—	94	2	no	—
987	C₂×C₄	—	94	1	no	—
988	C₂×C₄	—	94	1	no	—
989	C₂×C₄	—	94	2	no	—
990	C₂×C₄	—	94	2	no	—
991	C₂×C₄	—	94	2	no	—
992	C₂×C₄	—	376	2	no	—
993	C₂×C₄	—	376	2	no	—
994	C₂×C₄	—	376	2	no	—
995	C₂×C₄	—	188	4	no	—
996	C₂×C₄	—	188	4	no	—
997	C₂×C₄	—	188	4	no	—
998	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
999	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1000	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1001	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1002	C₈	—	2	1	no	—
1003	C₈	—	2	1	no	—
1004	C₈	—	47	2	no	—
1005	C₈	—	47	2	no	—
1006	C₈	—	94	1	no	—
1007	C₈	—	94	1	no	—
1008	C₈	#41×D₄₇	1	2	yes	—
1009	C₈	#41×D₄₇	1	2	yes	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	47	4	no	—
1016	C₂²	—	47	2	no	—
1017	C₂²	—	94	2	no	—
1018	C₂²	—	94	1	no	—
1019	C₂²	—	376	8	no	—
1020	C₂²	—	188	4	no	—
1021	C₂²	—	188	2	no	—
1022	C₂²	—	188	2	no	—
1023	C₂²	—	188	2	no	—
1024	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	2	1	no	—
1028	C₄	—	4	2	no	—
1029	C₄	—	4	2	no	—
1030	C₄	—	4	2	no	—
1031	C₄	—	47	2	no	—
1032	C₄	—	94	2	no	—
1033	C₄	—	94	2	no	—
1034	C₄	—	94	1	no	—
1035	C₄	—	188	2	no	—
1036	C₄	—	188	2	no	—
1037	C₄	—	188	2	no	—
1038	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1039	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1040	C₂	—	4	1	no	—
1041	C₂	—	8	2	no	—
1042	C₂	—	47	4	no	—
1043	C₂	—	376	2	no	—
1044	C₂	—	188	1	no	—
1045	C₂	#532×D₄₇	1	1	yes	characteristic
1046	C₂	#577×D₄₇	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
prime radical	#540×D₄₇	C₂
hypercenter	#3174	D₄₇
hypocenter	C₄₇	C₂×#3174
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. #541×D₄₇	C₂	semidirect
3. #20254019	C₂	semidirect
4. #20254018	C₂	semidirect
5. #20254017	C₂	semidirect
6. #20254016	C₂	semidirect
7. #20254015	C₂	semidirect
8. #20254014	C₂	semidirect
9. #20254013	C₂	semidirect
10. #20254012	C₂	semidirect
11. #20254011	C₂	semidirect
12. #20254010	C₂	semidirect
13. #20254009	C₂	semidirect
14. #499×D₄₇	C₂	semidirect
15. #492×D₄₇	C₂	semidirect
16. #491×D₄₇	C₂	semidirect
17. #490×D₄₇	C₂	semidirect
18. #468×D₄₇	C₂	semidirect
19. #465×D₄₇	C₂	semidirect
20. #440×D₄₇	C₂	semidirect
21. C₄×SD₁₆×D₄₇	C₂	semidirect
22. #405×D₄₇	C₂	semidirect
23. C₄₇×#3174	C₂	semidirect
28. #15689736	C₂²	semidirect
29. #15689735	C₂²	semidirect
30. #15689734	C₂²	semidirect
31. #15689733	C₂²	semidirect
33. #15689731	C₂²	semidirect
55. #15689525	C₂²	semidirect
56. #15689524	C₂²	semidirect
57. #15689523	C₂²	semidirect
58. #15689522	C₂²	semidirect
59. #15689522	C₂²	semidirect
60. #15689497	C₂²	semidirect
61. #15689496	C₂²	semidirect
62. #15689495	C₂²	semidirect
63. #15689494	C₂²	semidirect
64. #15689494	C₂²	semidirect
65. #15689493	C₂²	semidirect
66. #15689492	C₂²	semidirect
67. #15689491	C₂²	semidirect
68. #15689490	C₂²	semidirect
69. #15689490	C₂²	semidirect
70. #15689489	C₂²	semidirect
71. #15689488	C₂²	semidirect
72. #15689487	C₂²	semidirect
73. #15689486	C₂²	semidirect
74. #15689486	C₂²	semidirect
75. #15689372	C₂²	semidirect
76. #15689371	C₂²	semidirect
77. #15689370	C₂²	semidirect
78. #15689369	C₂²	semidirect
79. #15689368	C₂²	semidirect
80. #15689367	C₂²	semidirect
81. #15689366	C₂²	semidirect
82. #15689355	C₂²	semidirect
83. #15689354	C₂²	semidirect
84. #15689353	C₂²	semidirect
85. #15689352	C₂²	semidirect
86. #15689351	C₂²	semidirect
87. #15689350	C₂²	semidirect
88. #15689349	C₂²	semidirect
89. #15689226	C₂²	semidirect
90. #15689225	C₂²	semidirect
91. #15689224	C₂²	semidirect
92. #15689223	C₂²	semidirect
93. #15689222	C₂²	semidirect
94. #15689221	C₂²	semidirect
95. #15689220	C₂²	semidirect
96. #15689214	C₂²	semidirect
97. C₄×#10625325	C₂²	semidirect
98. SD₁₆×Dic₄₇	C₂²	semidirect
99. C₄×#10625336	C₂²	semidirect
100. #15689210	C₂²	semidirect
101. C₄×#10625335	C₂²	semidirect
102. #15689208	C₂²	semidirect
109. #15689081	C₂²	semidirect
110. #15689080	C₂²	semidirect
111. #15689080	C₂²	semidirect
112. #15689079	C₂²	semidirect
113. #15689078	C₂²	semidirect
114. #15689077	C₂²	semidirect
115. #15689077	C₂²	semidirect
120. C₄₇×#541	C₂²	semidirect
122. C₄₇×#499	C₂²	semidirect
123. C₄₇×#492	C₂²	semidirect
124. C₄₇×#491	C₂²	semidirect
125. C₄₇×#490	C₂²	semidirect
126. C₄₇×#468	C₂²	semidirect
127. C₄₇×#465	C₂²	semidirect
128. C₄₇×#440	C₂²	semidirect
129. C₄×SD₁₆×C₄₇	C₂²	semidirect
130. C₄₇×#405	C₂²	semidirect
530. #3174	D₄₇	direct (N × H)
546. D₄₇	#3174	direct (N × H)
558. #541	C₂×D₄₇	semidirect
585. #499	C₂×D₄₇	semidirect
591. #492	C₂×D₄₇	semidirect
597. #491	C₂×D₄₇	semidirect
603. #490	C₂×D₄₇	semidirect
611. #468	C₂×D₄₇	semidirect
619. #465	C₂×D₄₇	semidirect
627. #440	C₂×D₄₇	semidirect
635. C₄×SD₁₆	C₂×D₄₇	semidirect
649. #405	C₂×D₄₇	semidirect
654. C₄₇	C₂×#3174	semidirect

Maximal subgroups

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

subgroup	index
#541×D₄₇	2
#540×D₄₇	2
#20254019	2
#20254018	2
#20254017	2
#20254016	2
#20254015	2
#20254014	2
#20254013	2
#20254012	2
#20254011	2
#20254010	2
#20254009	2
#499×D₄₇	2
#492×D₄₇	2
#491×D₄₇	2
#490×D₄₇	2
#468×D₄₇	2
#465×D₄₇	2
#440×D₄₇	2
C₄×SD₁₆×D₄₇	2
#405×D₄₇	2
C₄₇×#3174	2
C₂×#3174	47

Subgroups — D47×#3174 #27086080

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₇×#3174 #27086080