Subgroups — #27112912

Order 12032.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257368	C₂	1	1	yes	maximal, characteristic, complemented
2	#20256946	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256261	C₂	1	1	yes	maximal, characteristic, complemented
4	#20256253	C₂	1	1	yes	maximal, characteristic, complemented
5	#20256071	C₂	1	1	yes	maximal, characteristic, complemented
6	#20256035	C₂	1	1	yes	maximal, characteristic, complemented
7	#20256016	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255985	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255963	C₂	1	2	yes	maximal, complemented
10	#20255952	C₂	1	2	yes	maximal, complemented
11	#20255706	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255695	C₂	1	1	yes	maximal, characteristic, complemented
13	#20255608	C₂	1	2	yes	maximal, complemented
14	#20255593	C₂	1	2	yes	maximal, complemented
15	#20254786	C₂	1	2	yes	maximal, complemented
16	#20254761	C₂	1	1	yes	maximal, characteristic, complemented
17	#20254554	C₂	1	2	yes	maximal, complemented
18	#20254549	C₂	1	1	yes	maximal, characteristic, complemented
19	#20253403	C₂	1	2	yes	maximal, complemented
20	#20253205	C₂	1	2	yes	maximal, complemented
21	#20253185	C₂	1	1	yes	maximal, characteristic, complemented
22	#20252517	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	#15689852	C₂²	1	1	yes	characteristic, complemented
25	#15689843	C₂²	1	1	yes	characteristic
26	#15689838	C₂²	1	1	yes	characteristic
27	#15689833	C₂²	1	1	yes	characteristic, complemented
28	#15689830	C₂²	1	1	yes	characteristic
29	#15689830	C₂²	1	1	yes	characteristic, complemented
30	#15689820	C₂²	1	2	yes	—
31	#15689819	—	2	1	no	—
32	#15689813	—	2	1	no	—
33	#15689813	—	2	1	no	—
34	#15689809	—	2	2	no	—
35	#15689808	C₂²	1	2	yes	—
36	#15689807	C₂²	1	2	yes	—
37	#15689799	—	2	2	no	—
38	#15689778	—	2	1	no	—
39	#15689778	C₂²	1	1	yes	characteristic, complemented
40	#15689777	C₂²	1	1	yes	characteristic
41	#15689767	C₂²	1	2	yes	—
42	#15689735	—	2	1	no	—
43	#15689716	—	2	2	no	—
44	#15689680	C₂²	1	1	yes	characteristic
45	#15689680	C₂²	1	1	yes	characteristic
46	#15689655	C₂²	1	2	yes	—
47	#15689653	—	2	2	no	—
48	#15689652	C₂²	1	2	yes	complemented
49	#125×D₄₇	C₂²	1	2	yes	complemented
50	#15689634	—	2	1	no	—
51	#15689603	—	2	1	no	—
52	C₄×#10625350	C₂²	1	1	yes	characteristic
53	C₄×#10625352	C₂²	1	2	yes	—
54	C₂×#13093983	—	2	1	no	—
55	#15689528	C₂²	1	1	yes	characteristic, complemented
56	#15689524	C₂²	1	2	yes	complemented
57	#15689523	C₂²	1	2	yes	complemented
58	#15689521	C₂²	1	1	yes	characteristic, complemented
59	#15689476	C₂²	1	2	yes	—
60	#15689476	C₂²	1	2	yes	—
61	#15689474	C₂²	1	1	yes	characteristic, complemented
62	#15689474	C₂²	1	1	yes	characteristic, complemented
63	#15689465	C₂²	1	2	yes	—
64	#15689465	C₂²	1	2	yes	—
65	#15689463	C₂²	1	2	yes	complemented
66	#15689460	C₂²	1	2	yes	complemented
67	#15689455	C₂²	1	2	yes	complemented
68	#15689446	C₂²	1	2	yes	complemented
69	#15689440	C₂²	1	2	yes	—
70	#15689435	C₂²	1	2	yes	—
71	#15689433	C₂²	1	2	yes	complemented
72	#15689431	C₂²	1	2	yes	complemented
73	#15689431	C₂²	1	2	yes	complemented
74	#15689429	C₂²	1	2	yes	complemented
75	#15689428	C₂²	1	2	yes	complemented
76	#15689427	C₂²	1	2	yes	complemented
77	#15689425	C₂²	1	2	yes	—
78	#15689423	C₂²	1	2	yes	—
79	#15689423	C₂²	1	2	yes	—
80	#15689421	C₂²	1	2	yes	—
81	#15689421	C₂²	1	2	yes	complemented
82	#15689418	C₂²	1	1	yes	characteristic, complemented
83	#15689413	C₂²	1	1	yes	characteristic
84	#15689413	C₂²	1	1	yes	characteristic
85	#15689413	C₂²	1	1	yes	characteristic, complemented
86	#15689403	C₂²	1	1	yes	characteristic
87	#15689403	C₂²	1	1	yes	characteristic
88	#15689380	C₂²	1	2	yes	complemented
89	#15689379	C₂²	1	2	yes	—
90	#15689373	C₂²	1	2	yes	—
91	#15689368	C₂²	1	2	yes	complemented
92	#15689367	C₂²	1	2	yes	—
93	#15689366	C₂²	1	2	yes	—
94	#15689343	C₂²	1	2	yes	—
95	#15689342	C₂²	1	2	yes	complemented
96	#15689336	C₂²	1	2	yes	—
97	#15689333	C₂²	1	1	yes	characteristic, complemented
98	#15689328	C₂²	1	1	yes	characteristic, complemented
99	#15689282	C₂²	1	2	yes	—
100	#15689265	C₂²	1	2	yes	—
101	C₈×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
102	C₈×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
103	#15689215	C₂²	1	2	yes	complemented
104	#15689214	C₂²	1	2	yes	complemented
105	SD₁₆×Dic₄₇	C₂²	1	2	yes	—
106	D₈×Dic₄₇	C₂²	1	2	yes	—
107	#15689202	C₂²	1	1	yes	characteristic, complemented
108	#15689202	C₂²	1	1	yes	characteristic, complemented
109	#15689198	C₂²	1	2	yes	—
110	#15689198	C₂²	1	2	yes	—
111	#15689175	C₂²	1	2	yes	complemented
112	#15689164	C₂²	1	2	yes	complemented
113	#15689163	C₂²	1	2	yes	—
114	#15689162	C₂²	1	2	yes	complemented
115	#15689147	C₂²	1	1	yes	characteristic
116	#15689145	C₂²	1	2	yes	complemented
117	#15689128	C₂²	1	2	yes	—
118	#15689121	C₂²	1	2	yes	—
119	#15689121	C₂²	1	2	yes	—
120	C₄₇×#529	C₂²	1	1	yes	characteristic
121	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
122	C₄₇×#484	C₂²	1	1	yes	characteristic
123	C₄₇×#481	C₂²	1	1	yes	characteristic
124	C₄₇×#478	C₂²	1	1	yes	characteristic
125	C₄₇×#478	C₂²	1	1	yes	characteristic
126	C₄₇×#463	C₂²	1	1	yes	characteristic
127	C₄₇×#463	C₂²	1	1	yes	characteristic
128	C₄₇×#450	C₂²	1	1	yes	characteristic
129	C₄₇×#447	C₂²	1	1	yes	characteristic
130	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
131	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
132	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
133	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
134	C₄₇×#431	C₂²	1	1	yes	characteristic
135	C₂×#10625350	—	2	1	no	—
136	C₂×#10625350	D₄	1	1	yes	characteristic
137	C₂×#10625352	C₂³	1	2	yes	—
138	C₂×#10625337	C₂³	1	2	yes	—
139	C₂×#10625335	C₂³	1	2	yes	—
140	C₂×#10625329	C₂³	1	2	yes	—
141	C₂×#10625324	C₂³	1	2	yes	—
142	C₂×#10625324	C₂³	1	2	yes	—
143	#13094024	—	2	1	no	—
144	#13094024	C₂³	1	1	yes	characteristic
145	#13094024	C₂³	1	1	yes	characteristic
146	#13094024	C₂³	1	1	yes	characteristic
147	#13094024	C₂³	1	1	yes	characteristic
148	#13094019	—	2	2	no	—
149	#13094017	—	2	2	no	—
150	#13094017	—	2	2	no	—
151	#13094017	—	2	2	no	—
152	#13094017	—	2	2	no	—
153	#13094017	—	2	2	no	—
154	#13094016	—	2	1	no	—
155	#13094016	—	2	1	no	—
156	#13094016	C₂³	1	2	yes	—
157	#13094015	—	2	2	no	—
158	#13094015	C₂³	1	2	yes	—
159	#13094015	C₂³	1	2	yes	—
160	#13094015	C₂³	1	2	yes	—
161	#13094014	—	2	2	no	—
162	#13094014	—	2	2	no	—
163	#13094014	—	2	2	no	—
164	#13094014	—	2	2	no	—
165	#13094011	C₂³	1	2	yes	—
166	#13094010	—	2	2	no	—
167	#13094008	—	2	2	no	—
168	#13094007	—	2	2	no	—
169	#13094006	—	2	2	no	—
170	#13094006	—	2	2	no	—
171	#13094006	—	2	2	no	—
172	#13094006	—	2	2	no	—
173	#13094005	—	2	2	no	—
174	#13094005	—	2	2	no	—
175	#13094004	C₂³	1	2	yes	—
176	#13094003	—	2	1	no	—
177	#13094003	—	2	1	no	—
178	#13094003	—	2	1	no	—
179	#13094003	—	2	1	no	—
180	#13094003	—	2	1	no	—
181	#13094003	—	2	1	no	—
182	#13094003	—	2	1	no	—
183	#13094003	C₂³	1	2	yes	—
184	#13094002	—	2	2	no	—
185	#13094001	—	2	2	no	—
186	#13094001	—	2	2	no	—
187	#13094000	C₂³	1	2	yes	—
188	#13093998	—	2	1	no	—
189	#13093998	—	2	1	no	—
190	#13093996	—	2	2	no	—
191	#13093995	—	2	2	no	—
192	#13093995	C₂³	1	2	yes	—
193	#13093995	C₂³	1	2	yes	—
194	#13093993	—	2	2	no	—
195	Q₈×Dic₄₇	C₂³	1	2	yes	—
196	C₄×Dic₉₄	—	2	1	no	—
197	C₄×Dic₉₄	—	2	1	no	—
198	C₄×Dic₉₄	—	2	1	no	—
199	C₄×Dic₉₄	—	2	1	no	—
200	C₄×Dic₉₄	D₄	1	1	yes	characteristic
201	C₄×Dic₉₄	C₂³	1	2	yes	—
202	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
203	#13093989	C₂³	1	2	yes	—
204	C₄×D₁₈₈	—	2	1	no	—
205	C₄×D₁₈₈	D₄	1	1	yes	characteristic
206	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
207	D₄×Dic₄₇	C₂³	1	2	yes	—
208	D₄×Dic₄₇	C₂³	1	2	yes	—
209	C₄×C₂²⋊D₄₇	—	2	2	no	—
210	C₄×C₂²⋊D₄₇	—	2	2	no	—
211	C₄×C₂²⋊D₄₇	D₄	1	2	yes	—
212	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
213	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
214	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
215	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
216	#13093983	—	2	1	no	—
217	#13093983	—	2	2	no	—
218	#13093983	—	2	1	no	—
219	#13093983	—	2	1	no	—
220	#13093983	—	2	2	no	—
221	#13093983	D₄	1	1	yes	characteristic
222	#13093983	C₂³	1	2	yes	—
223	#13093982	—	2	2	no	—
224	#13093982	C₂³	1	2	yes	—
225	#13093981	D₄	1	2	yes	—
226	#13093980	—	2	2	no	—
227	#13093980	—	2	2	no	—
228	C₂×C₄⋊Dic₄₇	—	2	1	no	—
229	C₂×C₄⋊Dic₄₇	—	2	1	no	—
230	C₂×C₄⋊Dic₄₇	—	2	1	no	—
231	C₄⋊C₄×D₄₇	—	2	2	no	—
232	C₄⋊C₄×D₄₇	—	2	2	no	—
233	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
234	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
236	C₂×C₄×Dic₄₇	—	2	2	no	—
237	C₄²×D₄₇	C₂³	1	2	yes	—
238	#13093958	C₂³	1	2	yes	—
239	#13093958	C₂³	1	2	yes	—
240	#13093957	C₂³	1	2	yes	—
241	#13093957	C₂³	1	2	yes	—
242	#13093957	C₂³	1	2	yes	—
243	#13093956	C₂³	1	2	yes	—
244	#13093956	C₂³	1	2	yes	—
245	#13093955	C₂³	1	2	yes	—
246	#13093955	C₂³	1	2	yes	—
247	#13093955	C₂³	1	2	yes	—
248	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
250	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
251	Dic₄₇⋊C₈	C₂³	1	2	yes	—
252	Dic₄₇⋊C₈	C₂³	1	2	yes	—
253	#13093949	C₂³	1	2	yes	—
254	#13093949	C₂³	1	2	yes	—
255	#13093949	C₂³	1	2	yes	—
256	#13093949	C₂³	1	2	yes	—
257	#13093948	C₂³	1	2	yes	—
258	#13093947	C₂³	1	2	yes	—
259	#13093947	C₂³	1	2	yes	—
260	#13093945	C₂³	1	2	yes	—
261	#13093945	C₂³	1	2	yes	—
262	#13093945	C₂³	1	2	yes	—
263	#13093945	C₂³	1	2	yes	—
264	#13093945	C₂³	1	2	yes	—
265	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
267	C₈×Dic₄₇	C₂³	1	2	yes	—
268	C₈×Dic₄₇	C₂³	1	2	yes	—
269	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
270	C₂³×C₄×C₄₇	—	2	1	no	—
271	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
272	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
273	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
274	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
275	#126×C₄₇	—	2	1	no	—
276	#125×C₄₇	C₂³	1	1	yes	characteristic
277	#124×C₄₇	C₂³	1	1	yes	characteristic
278	#123×C₄₇	—	2	1	no	—
279	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
280	#121×C₄₇	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₄₇	—	2	1	no	—
283	C₄×D₄×C₄₇	—	2	1	no	—
284	C₄×D₄×C₄₇	—	2	1	no	—
285	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
290	#117×C₄₇	—	2	1	no	—
291	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
293	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
294	#107×C₄₇	C₂³	1	1	yes	characteristic
295	#107×C₄₇	C₂³	1	1	yes	characteristic
296	#106×C₄₇	C₂³	1	1	yes	characteristic
297	#106×C₄₇	C₂³	1	1	yes	characteristic
298	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
299	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
300	#103×C₄₇	C₂³	1	1	yes	characteristic
301	#103×C₄₇	C₂³	1	1	yes	characteristic
302	#102×C₄₇	C₂³	1	1	yes	characteristic
303	#102×C₄₇	C₂³	1	1	yes	characteristic
304	#102×C₄₇	C₂³	1	1	yes	characteristic
305	#102×C₄₇	C₂³	1	1	yes	characteristic
306	#102×C₄₇	C₂³	1	1	yes	characteristic
307	#102×C₄₇	C₂³	1	1	yes	characteristic
308	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
312	C₂⁴×C₄₇	—	2	1	no	—
313	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
314	C₂×D₄×C₄₇	—	2	2	no	—
315	C₂×D₄×C₄₇	—	2	1	no	—
316	C₂×D₄×C₄₇	—	2	1	no	—
317	C₂×D₄×C₄₇	—	4	1	no	—
318	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
319	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
320	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₄₇	—	2	1	no	—
322	C₂²×C₄×C₄₇	—	2	1	no	—
323	C₂²×C₄×C₄₇	—	2	1	no	—
324	C₂²×C₄×C₄₇	—	2	1	no	—
325	C₂²×C₄×C₄₇	—	2	1	no	—
326	C₂²×C₄×C₄₇	—	2	1	no	—
327	C₂²×C₄×C₄₇	—	4	4	no	—
328	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
329	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
331	C₂×C₂²⋊D₄₇	—	2	2	no	—
332	C₂×C₂²⋊D₄₇	—	2	2	no	—
333	C₂×C₂²⋊D₄₇	—	2	2	no	—
334	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
335	C₂²×Dic₄₇	—	2	2	no	—
336	C₂²×Dic₄₇	—	2	2	no	—
337	C₂²×Dic₄₇	—	2	2	no	—
338	#10625352	—	2	4	no	—
339	#10625352	—	4	2	no	—
340	#10625350	—	4	2	no	—
341	#10625350	—	4	4	no	—
342	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
343	C₂×C₄×D₄₇	—	2	2	no	—
344	C₂×C₄×D₄₇	—	2	2	no	—
345	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
346	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
347	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
348	C₂×Dic₉₄	—	2	1	no	—
349	C₂×Dic₉₄	—	2	1	no	—
350	C₂×Dic₉₄	—	2	1	no	—
351	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
352	C₂×Dic₉₄	C₂⁴	1	2	yes	—
353	SD₁₆×C₄₇	—	2	2	no	—
354	SD₁₆×C₄₇	—	4	1	no	—
355	D₈×C₄₇	—	2	2	no	—
356	D₈×C₄₇	—	4	1	no	—
357	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
361	C₄⋊C₄×C₄₇	—	2	1	no	—
362	C₄⋊C₄×C₄₇	—	2	1	no	—
363	C₄⋊C₄×C₄₇	—	2	1	no	—
364	C₄⋊C₄×C₄₇	—	2	1	no	—
365	C₄⋊C₄×C₄₇	—	2	1	no	—
366	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
369	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²⋊C₄×C₄₇	—	2	1	no	—
371	C₂²⋊C₄×C₄₇	—	2	1	no	—
372	C₂²⋊C₄×C₄₇	—	2	1	no	—
373	C₂²⋊C₄×C₄₇	—	2	1	no	—
374	C₂²⋊C₄×C₄₇	—	2	1	no	—
375	C₂²⋊C₄×C₄₇	—	2	1	no	—
376	C₂²⋊C₄×C₄₇	—	2	1	no	—
377	C₂²⋊C₄×C₄₇	—	2	1	no	—
378	C₂²⋊C₄×C₄₇	—	2	1	no	—
379	C₄²×C₄₇	—	2	1	no	—
380	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
381	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
382	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
384	C₂²⋊Dic₄₇	—	2	2	no	—
385	C₂²⋊Dic₄₇	—	2	2	no	—
386	C₂²⋊Dic₄₇	—	2	2	no	—
387	C₂²⋊Dic₄₇	—	2	2	no	—
388	C₂²⋊Dic₄₇	—	2	2	no	—
389	C₂²⋊Dic₄₇	—	2	2	no	—
390	C₂²⋊Dic₄₇	—	2	2	no	—
391	C₂²⋊Dic₄₇	—	2	2	no	—
392	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
393	#10625337	—	4	2	no	—
394	#10625335	—	4	2	no	—
395	(C₂×D₄₇)⋊C₄	—	2	2	no	—
396	(C₂×D₄₇)⋊C₄	—	2	2	no	—
397	(C₂×D₄₇)⋊C₄	—	2	2	no	—
398	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
399	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
400	C₄⋊Dic₄₇	—	2	1	no	—
401	C₄⋊Dic₄₇	—	2	1	no	—
402	C₄⋊Dic₄₇	—	2	1	no	—
403	C₄⋊Dic₄₇	—	2	1	no	—
404	C₄⋊Dic₄₇	—	2	1	no	—
405	C₄⋊Dic₄₇	—	2	2	no	—
406	C₄⋊Dic₄₇	—	2	2	no	—
407	C₄⋊Dic₄₇	—	2	2	no	—
408	C₄⋊Dic₄₇	—	2	2	no	—
409	C₄⋊Dic₄₇	—	2	2	no	—
410	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
411	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
412	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
413	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
414	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
415	Dic₄₇⋊C₄	—	2	2	no	—
416	Dic₄₇⋊C₄	—	2	2	no	—
417	Dic₄₇⋊C₄	—	2	2	no	—
418	Dic₄₇⋊C₄	—	2	2	no	—
419	Dic₄₇⋊C₄	—	2	2	no	—
420	Dic₄₇⋊C₄	—	2	2	no	—
421	Dic₄₇⋊C₄	—	2	2	no	—
422	Dic₄₇⋊C₄	—	2	2	no	—
423	Dic₄₇⋊C₄	—	2	2	no	—
424	Dic₄₇⋊C₄	—	2	2	no	—
425	Dic₄₇⋊C₄	—	2	2	no	—
426	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
427	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
428	C₄×Dic₄₇	—	2	2	no	—
429	C₄×Dic₄₇	—	2	2	no	—
430	C₄×Dic₄₇	—	2	2	no	—
431	C₄×Dic₄₇	—	2	2	no	—
432	C₄×Dic₄₇	—	2	2	no	—
433	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
434	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
435	C₄×Dic₄₇	C₂⁴	1	2	yes	—
436	#10625329	—	4	2	no	—
437	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
438	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
439	#10625324	—	4	2	no	—
440	#10625324	—	4	2	no	—
441	C₂³×C₄₇	—	2	1	no	—
442	C₂³×C₄₇	—	2	1	no	—
443	C₂³×C₄₇	—	2	1	no	—
444	C₂³×C₄₇	—	4	2	no	—
445	C₂³×C₄₇	—	4	2	no	—
446	C₂³×C₄₇	—	8	1	no	—
447	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
448	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
449	Q₈×C₄₇	—	2	1	no	—
450	Q₈×C₄₇	—	2	1	no	—
451	D₄×C₄₇	—	2	1	no	—
452	D₄×C₄₇	—	2	1	no	—
453	D₄×C₄₇	—	2	1	no	—
454	D₄×C₄₇	—	2	1	no	—
455	D₄×C₄₇	—	2	1	no	—
456	D₄×C₄₇	—	4	2	no	—
457	D₄×C₄₇	—	8	1	no	—
458	D₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
459	C₂×C₄×C₄₇	—	2	2	no	—
460	C₂×C₄×C₄₇	—	2	1	no	—
461	C₂×C₄×C₄₇	—	2	1	no	—
462	C₂×C₄×C₄₇	—	2	1	no	—
463	C₂×C₄×C₄₇	—	2	1	no	—
464	C₂×C₄×C₄₇	—	2	1	no	—
465	C₂×C₄×C₄₇	—	2	1	no	—
466	C₂×C₄×C₄₇	—	2	1	no	—
467	C₂×C₄×C₄₇	—	4	1	no	—
468	C₂×C₄×C₄₇	—	4	2	no	—
469	C₂×C₄×C₄₇	—	4	2	no	—
470	C₂×C₄×C₄₇	—	4	2	no	—
471	C₂×C₄×C₄₇	—	4	2	no	—
472	C₂×C₄×C₄₇	—	4	2	no	—
473	C₂×C₄×C₄₇	—	4	2	no	—
474	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
479	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
480	C₂²⋊D₄₇	—	4	2	no	—
481	C₂²⋊D₄₇	—	4	4	no	—
482	C₂²⋊D₄₇	—	4	4	no	—
483	C₂²⋊D₄₇	—	8	2	no	—
484	C₂×Dic₄₇	—	2	2	no	—
485	C₂×Dic₄₇	—	2	2	no	—
486	C₂×Dic₄₇	—	2	2	no	—
487	C₂×Dic₄₇	—	2	2	no	—
488	C₂×Dic₄₇	—	4	4	no	—
489	C₂×Dic₄₇	—	8	2	no	—
490	C₂×Dic₄₇	—	8	2	no	—
491	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
492	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
493	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
494	D₁₈₈	—	2	2	no	—
495	C₄×D₄₇	—	2	2	no	—
496	C₄×D₄₇	—	2	2	no	—
497	C₄×D₄₇	—	4	2	no	—
498	C₄×D₄₇	—	4	2	no	—
499	C₄×D₄₇	—	4	4	no	—
500	C₄×D₄₇	—	8	2	no	—
501	Dic₉₄	—	2	2	no	—
502	Dic₉₄	—	2	2	no	—
503	Dic₉₄	—	2	2	no	—
504	Dic₉₄	—	4	2	no	—
505	Dic₉₄	—	8	1	no	—
506	Dic₉₄	—	8	1	no	—
507	C₈×C₄₇	—	2	1	no	—
508	C₈×C₄₇	—	2	1	no	—
509	C₈×C₄₇	—	2	1	no	—
510	C₈×C₄₇	—	2	1	no	—
511	C₄₇⋊C₈	—	2	2	no	—
512	C₄₇⋊C₈	—	2	2	no	—
513	#62152	—	47	1	no	maximal, Sylow
514	C₂²×C₄₇	—	2	1	no	—
515	C₂²×C₄₇	—	2	2	no	—
516	C₂²×C₄₇	—	2	1	no	—
517	C₂²×C₄₇	—	2	1	no	—
518	C₂²×C₄₇	—	4	1	no	—
519	C₂²×C₄₇	—	4	1	no	—
520	C₂²×C₄₇	—	4	1	no	—
521	C₂²×C₄₇	—	4	1	no	—
522	C₂²×C₄₇	—	4	1	no	—
523	C₂²×C₄₇	—	4	1	no	—
524	C₂²×C₄₇	—	4	1	no	—
525	C₂²×C₄₇	—	4	1	no	—
526	C₂²×C₄₇	—	8	4	no	—
527	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
528	C₂×D₄₇	—	2	2	no	—
529	C₂×D₄₇	—	2	2	no	—
530	C₂×D₄₇	—	2	2	no	—
531	C₄×C₄₇	—	2	1	no	—
532	C₄×C₄₇	—	2	1	no	—
533	C₄×C₄₇	—	2	1	no	—
534	C₄×C₄₇	—	2	1	no	—
535	C₄×C₄₇	—	4	1	no	—
536	C₄×C₄₇	—	4	1	no	—
537	C₄×C₄₇	—	4	1	no	—
538	C₄×C₄₇	—	4	1	no	—
539	C₄×C₄₇	—	4	1	no	—
540	C₄×C₄₇	#575	1	2	yes	—
541	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
542	C₄×C₄₇	#585	1	1	yes	characteristic
543	Dic₄₇	—	2	2	no	—
544	Dic₄₇	—	2	2	no	—
545	Dic₄₇	—	2	2	no	—
546	Dic₄₇	—	4	2	no	—
547	Dic₄₇	—	4	2	no	—
548	Dic₄₇	—	4	2	no	—
549	Dic₄₇	—	4	2	no	—
550	#3515	—	47	1	no	—
551	#3475	—	47	1	no	—
552	#3381	—	47	1	no	—
553	#3380	—	47	1	no	—
554	#3364	—	47	1	no	—
555	#3360	—	47	1	no	—
556	#3357	—	47	1	no	—
557	#3354	—	47	1	no	—
558	#3352	—	47	2	no	—
559	#3351	—	47	2	no	—
560	#3331	—	47	1	no	—
561	#3330	—	47	1	no	—
562	#3323	—	47	2	no	—
563	#3322	—	47	2	no	—
564	#3256	—	47	2	no	—
565	#3252	—	47	1	no	—
566	#3232	—	47	2	no	—
567	#3231	—	47	1	no	—
568	#3105	D₄₇	1	1	yes	characteristic, complemented
569	#3102	—	47	2	no	—
570	#3080	—	47	2	no	—
571	#3077	—	47	1	no	—
572	#2991	—	47	1	no	—
573	C₂×C₄₇	—	4	1	no	—
574	C₂×C₄₇	—	4	2	no	—
575	C₂×C₄₇	—	8	1	no	—
576	C₂×C₄₇	—	8	1	no	—
577	C₂×C₄₇	#3489	1	1	yes	characteristic
578	C₂×C₄₇	C₂×#575	1	1	yes	characteristic
579	C₂×C₄₇	#3584	1	1	yes	characteristic
580	D₄₇	—	4	2	no	—
581	#557	—	47	1	no	—
582	#556	—	47	1	no	—
583	#555	—	47	1	no	—
584	#554	—	47	1	no	—
585	#554	—	47	1	no	—
586	#554	—	47	1	no	—
587	#553	—	47	2	no	—
588	#553	—	94	1	no	—
589	#552	—	47	2	no	—
590	#552	—	47	2	no	—
591	#552	—	94	1	no	—
592	#552	—	94	2	no	—
593	#552	—	94	1	no	—
594	#551	—	94	2	no	—
595	#547	—	47	1	no	—
596	#547	—	47	1	no	—
597	#547	—	94	1	no	—
598	#546	—	47	2	no	—
599	#541	—	94	1	no	—
600	#539	—	94	2	no	—
601	#533	—	47	1	no	—
602	#533	—	47	1	no	—
603	#529	—	47	2	no	—
604	#529	—	47	2	no	—
605	#529	—	94	2	no	—
606	#529	C₂×D₄₇	1	1	yes	characteristic
607	C₂×#125	—	47	2	no	—
608	#525	—	94	1	no	—
609	#520	—	94	1	no	—
610	C₄×#41	—	47	1	no	—
611	C₄×#41	—	47	2	no	—
612	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
613	C₂×#117	—	94	1	no	—
614	#500	—	47	1	no	—
615	#499	—	47	2	no	—
616	#499	—	47	2	no	—
617	#498	—	47	1	no	—
618	#488	—	47	2	no	—
619	#488	—	47	2	no	—
620	#487	—	47	1	no	—
621	#487	—	47	1	no	—
622	#485	—	47	2	no	—
623	#485	—	47	2	no	—
624	#485	—	47	2	no	—
625	#484	—	47	2	no	—
626	#484	C₂×D₄₇	1	1	yes	characteristic
627	#483	—	47	2	no	—
628	#482	—	47	2	no	—
629	#481	—	47	2	no	—
630	#481	C₂×D₄₇	1	1	yes	characteristic
631	#480	—	47	2	no	—
632	#479	—	47	2	no	—
633	#479	—	47	2	no	—
634	#479	—	47	2	no	—
635	#479	—	47	2	no	—
636	#479	—	47	2	no	—
637	#479	—	47	2	no	—
638	#478	—	47	2	no	—
639	#478	—	47	2	no	—
640	#478	—	47	2	no	—
641	#478	—	47	2	no	—
642	#478	—	47	2	no	—
643	#478	C₂×D₄₇	1	1	yes	characteristic
644	#478	C₂×D₄₇	1	1	yes	characteristic
645	#477	—	47	1	no	—
646	#476	—	47	1	no	—
647	#476	—	47	1	no	—
648	#476	—	47	1	no	—
649	#474	—	47	1	no	—
650	#474	—	47	1	no	—
651	#470	—	47	2	no	—
652	#470	—	47	2	no	—
653	#469	—	47	2	no	—
654	#468	—	47	2	no	—
655	#468	—	47	2	no	—
656	#468	—	47	2	no	—
657	#464	—	47	2	no	—
658	#464	—	47	2	no	—
659	#463	—	47	2	no	—
660	#463	C₂×D₄₇	1	1	yes	characteristic
661	#463	C₂×D₄₇	1	1	yes	characteristic
662	#462	—	47	1	no	—
663	#461	—	47	1	no	—
664	#452	—	47	2	no	—
665	#450	C₂×D₄₇	1	1	yes	characteristic
666	#449	—	47	2	no	—
667	#447	C₂×D₄₇	1	1	yes	characteristic
668	C₈×Q₈	—	47	1	no	—
669	C₈×Q₈	—	47	1	no	—
670	C₄×Q₁₆	—	47	2	no	—
671	C₄×SD₁₆	—	47	2	no	—
672	C₄×SD₁₆	—	47	2	no	—
673	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
674	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
675	C₄×D₈	—	47	2	no	—
676	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
677	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
678	#436	—	47	2	no	—
679	#436	—	47	2	no	—
680	#436	—	47	1	no	—
681	#436	—	47	1	no	—
682	#431	—	47	2	no	—
683	#431	C₂×D₄₇	1	1	yes	characteristic
684	#428	—	47	2	no	—
685	#428	—	47	2	no	—
686	#428	—	47	2	no	—
687	#423	—	47	1	no	—
688	#423	—	47	2	no	—
689	#418	—	47	2	no	—
690	#417	—	47	2	no	—
691	#417	—	47	2	no	—
692	C₄₇	#62152	1	1	yes	characteristic, complemented, Sylow
693	C₂×#41	—	47	1	no	—
694	C₂×#41	—	47	2	no	—
695	C₂×#41	—	94	1	no	—
696	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
697	C₂³×C₄	—	2	1	no	—
698	C₂×Q₁₆	—	47	2	no	—
699	C₂×SD₁₆	—	47	2	no	—
700	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
701	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
702	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
703	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
704	C₂×M₁₆	—	47	2	no	—
705	C₂×M₁₆	—	47	2	no	—
706	C₂×M₁₆	—	47	2	no	—
707	C₄⋊Q₈	—	47	1	no	—
708	C₄⋊Q₈	—	47	1	no	—
709	C₄⋊Q₈	—	47	1	no	—
710	C₄⋊Q₈	—	47	1	no	—
711	C₄⋊Q₈	—	94	1	no	—
712	#126	—	2	1	no	—
713	#126	—	94	2	no	—
714	#126	—	94	2	no	—
715	#126	—	94	2	no	—
716	#126	—	94	2	no	—
717	#126	—	94	2	no	—
718	#126	—	94	2	no	—
719	#125	—	47	2	no	—
720	#125	—	47	2	no	—
721	#125	—	47	2	no	—
722	#125	—	47	2	no	—
723	#125	—	94	1	no	—
724	#125	—	94	2	no	—
725	#125	—	94	2	no	—
726	#125	—	94	2	no	—
727	#125	—	94	2	no	—
728	#125	—	94	2	no	—
729	#125	—	94	1	no	—
730	#125	C₂²×D₄₇	1	1	yes	characteristic
731	#124	—	47	2	no	—
732	#124	—	94	2	no	—
733	#124	C₂²×D₄₇	1	1	yes	characteristic
734	#123	—	2	1	no	—
735	#123	—	94	2	no	—
736	#123	—	94	2	no	—
737	#123	—	94	2	no	—
738	#123	—	94	2	no	—
739	#123	—	94	2	no	—
740	#123	—	94	2	no	—
741	#123	—	94	2	no	—
742	#123	—	94	2	no	—
743	C₂²⋊Q₈	—	47	2	no	—
744	C₂²⋊Q₈	—	47	2	no	—
745	C₂²⋊Q₈	—	47	2	no	—
746	C₂²⋊Q₈	—	94	2	no	—
747	C₂²⋊Q₈	—	94	2	no	—
748	C₂²⋊Q₈	—	94	2	no	—
749	C₂²⋊Q₈	—	94	1	no	—
750	C₂²⋊Q₈	—	94	1	no	—
751	C₂²⋊Q₈	—	94	1	no	—
752	C₂²⋊Q₈	—	94	1	no	—
753	C₂²⋊Q₈	—	94	1	no	—
754	C₂²⋊Q₈	—	94	1	no	—
755	C₂²⋊Q₈	—	94	1	no	—
756	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
757	#121	—	47	2	no	—
758	#121	—	47	2	no	—
759	#121	—	94	2	no	—
760	#121	—	94	1	no	—
761	#121	—	94	1	no	—
762	#121	—	94	2	no	—
763	#121	C₂²×D₄₇	1	1	yes	characteristic
764	#120	—	94	2	no	—
765	C₄×Q₈	—	47	1	no	—
766	C₄×Q₈	—	47	1	no	—
767	C₄×Q₈	—	47	2	no	—
768	C₄×Q₈	—	47	2	no	—
769	C₄×Q₈	—	47	2	no	—
770	C₄×Q₈	—	94	1	no	—
771	C₄×Q₈	—	94	1	no	—
772	C₄×Q₈	—	94	1	no	—
773	C₄×Q₈	—	94	1	no	—
774	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
775	C₄×D₄	—	2	1	no	—
776	C₄×D₄	—	2	1	no	—
777	C₄×D₄	—	2	1	no	—
778	C₄×D₄	—	47	2	no	—
779	C₄×D₄	—	47	2	no	—
780	C₄×D₄	—	47	2	no	—
781	C₄×D₄	—	47	2	no	—
782	C₄×D₄	—	47	1	no	—
783	C₄×D₄	—	47	1	no	—
784	C₄×D₄	—	94	1	no	—
785	C₄×D₄	—	94	2	no	—
786	C₄×D₄	—	94	2	no	—
787	C₄×D₄	—	94	2	no	—
788	C₄×D₄	—	94	2	no	—
789	C₄×D₄	—	94	2	no	—
790	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
791	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
792	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
793	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
794	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
795	#117	—	2	1	no	—
796	#117	—	47	1	no	—
797	#117	—	47	2	no	—
798	#117	—	47	2	no	—
799	#117	—	47	2	no	—
800	#117	—	94	2	no	—
801	#117	—	94	2	no	—
802	#117	—	94	2	no	—
803	#117	—	94	2	no	—
804	#117	—	94	2	no	—
805	#117	—	94	1	no	—
806	#117	—	94	1	no	—
807	#117	—	94	1	no	—
808	C₂×C₄⋊C₄	—	47	2	no	—
809	C₂×C₄⋊C₄	—	47	2	no	—
810	C₂×C₄⋊C₄	—	94	2	no	—
811	C₂×C₄⋊C₄	—	94	2	no	—
812	C₂×C₄⋊C₄	—	94	1	no	—
813	C₂×C₄⋊C₄	—	94	1	no	—
814	C₂×C₄⋊C₄	—	94	1	no	—
815	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	—	2	1	no	—
817	C₂×C₂²⋊C₄	—	94	2	no	—
818	C₂×C₄²	—	47	2	no	—
819	C₂×C₄²	—	94	2	no	—
820	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
821	#107	—	47	2	no	—
822	#107	—	47	2	no	—
823	#107	—	47	2	no	—
824	#107	—	47	2	no	—
825	#107	—	47	2	no	—
826	#107	C₂²×D₄₇	1	1	yes	characteristic
827	#107	C₂²×D₄₇	1	1	yes	characteristic
828	#106	—	47	2	no	—
829	#106	—	47	2	no	—
830	#106	—	47	2	no	—
831	#106	—	47	2	no	—
832	#106	—	47	2	no	—
833	#106	C₂²×D₄₇	1	1	yes	characteristic
834	#106	C₂²×D₄₇	1	1	yes	characteristic
835	C₄⋊C₈	—	47	2	no	—
836	C₄⋊C₈	—	47	2	no	—
837	C₄⋊C₈	—	47	2	no	—
838	C₄⋊C₈	—	47	1	no	—
839	C₄⋊C₈	—	47	1	no	—
840	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
841	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
842	#103	—	47	2	no	—
843	#103	—	47	2	no	—
844	#103	—	47	2	no	—
845	#103	—	47	2	no	—
846	#103	—	47	2	no	—
847	#103	—	47	2	no	—
848	#103	—	47	2	no	—
849	#103	C₂²×D₄₇	1	1	yes	characteristic
850	#103	C₂²×D₄₇	1	1	yes	characteristic
851	#102	—	47	2	no	—
852	#102	—	47	2	no	—
853	#102	—	47	2	no	—
854	#102	—	47	2	no	—
855	#102	—	47	2	no	—
856	#102	C₂²×D₄₇	1	1	yes	characteristic
857	#102	C₂²×D₄₇	1	1	yes	characteristic
858	#102	C₂²×D₄₇	1	1	yes	characteristic
859	#102	C₂²×D₄₇	1	1	yes	characteristic
860	#102	C₂²×D₄₇	1	1	yes	characteristic
861	#102	C₂²×D₄₇	1	1	yes	characteristic
862	C₂²⋊C₈	—	47	2	no	—
863	C₂²⋊C₈	—	47	2	no	—
864	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
865	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
866	C₄×C₈	—	47	2	no	—
867	C₄×C₈	—	47	2	no	—
868	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
869	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
870	C₂⁴	—	2	1	no	—
871	#41	—	94	4	no	—
872	#41	—	188	2	no	—
873	#41	—	188	4	no	—
874	#41	—	188	2	no	—
875	C₂×Q₈	—	47	1	no	—
876	C₂×Q₈	—	47	2	no	—
877	C₂×Q₈	—	94	1	no	—
878	C₂×Q₈	—	94	1	no	—
879	C₂×Q₈	—	94	1	no	—
880	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	1	no	—
883	C₂×D₄	—	2	1	no	—
884	C₂×D₄	—	4	1	no	—
885	C₂×D₄	—	47	2	no	—
886	C₂×D₄	—	47	1	no	—
887	C₂×D₄	—	94	2	no	—
888	C₂×D₄	—	94	2	no	—
889	C₂×D₄	—	94	2	no	—
890	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
891	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
892	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	4	4	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	D₄×D₄₇	1	1	yes	characteristic
909	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
910	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
911	Q₁₆	—	188	2	no	—
912	SD₁₆	—	2	2	no	—
913	SD₁₆	—	4	1	no	—
914	SD₁₆	—	188	2	no	—
915	D₈	—	2	2	no	—
916	D₈	—	4	1	no	—
917	M₁₆	—	188	2	no	—
918	M₁₆	—	188	2	no	—
919	M₁₆	—	188	2	no	—
920	C₂×C₈	—	47	2	no	—
921	C₂×C₈	—	47	2	no	—
922	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
923	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
924	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
925	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	47	2	no	—
932	C₄⋊C₄	—	47	2	no	—
933	C₄⋊C₄	—	47	1	no	—
934	C₄⋊C₄	—	47	1	no	—
935	C₄⋊C₄	—	47	2	no	—
936	C₄⋊C₄	—	47	2	no	—
937	C₄⋊C₄	—	47	2	no	—
938	C₄⋊C₄	—	94	2	no	—
939	C₄⋊C₄	—	94	2	no	—
940	C₄⋊C₄	—	94	2	no	—
941	C₄⋊C₄	—	94	2	no	—
942	C₄⋊C₄	—	94	2	no	—
943	C₄⋊C₄	—	94	2	no	—
944	C₄⋊C₄	—	94	2	no	—
945	C₄⋊C₄	—	94	2	no	—
946	C₄⋊C₄	—	94	2	no	—
947	C₄⋊C₄	—	94	2	no	—
948	C₄⋊C₄	—	94	2	no	—
949	C₄⋊C₄	—	94	2	no	—
950	C₄⋊C₄	—	94	2	no	—
951	C₄⋊C₄	—	94	2	no	—
952	C₄⋊C₄	—	94	2	no	—
953	C₄⋊C₄	—	94	2	no	—
954	C₄⋊C₄	—	94	1	no	—
955	C₄⋊C₄	—	94	1	no	—
956	C₄⋊C₄	—	94	1	no	—
957	C₄⋊C₄	—	94	1	no	—
958	C₄⋊C₄	—	94	1	no	—
959	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
960	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
961	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
962	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	47	2	no	—
973	C₂²⋊C₄	—	47	2	no	—
974	C₂²⋊C₄	—	47	2	no	—
975	C₂²⋊C₄	—	94	2	no	—
976	C₂²⋊C₄	—	94	2	no	—
977	C₂²⋊C₄	—	94	2	no	—
978	C₂²⋊C₄	—	94	2	no	—
979	C₂²⋊C₄	—	94	2	no	—
980	C₂²⋊C₄	—	94	2	no	—
981	C₂²⋊C₄	—	94	2	no	—
982	C₂²⋊C₄	—	94	2	no	—
983	C₂²⋊C₄	—	94	2	no	—
984	C₂²⋊C₄	—	94	2	no	—
985	C₂²⋊C₄	—	94	2	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	47	2	no	—
988	C₄²	—	47	2	no	—
989	C₄²	—	47	2	no	—
990	C₄²	—	94	2	no	—
991	C₄²	—	94	2	no	—
992	C₄²	—	94	2	no	—
993	C₄²	—	94	2	no	—
994	C₄²	—	94	2	no	—
995	C₄²	D₄×D₄₇	1	1	yes	characteristic
996	C₄²	D₄×D₄₇	1	1	yes	characteristic
997	C₄²	C₂³×D₄₇	1	1	yes	characteristic
998	C₄²	C₂³×D₄₇	1	1	yes	characteristic
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	4	2	no	—
1003	C₂³	—	4	2	no	—
1004	C₂³	—	8	1	no	—
1005	C₂³	—	47	2	no	—
1006	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1007	Q₈	—	2	1	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	94	2	no	—
1010	Q₈	—	94	2	no	—
1011	Q₈	—	94	2	no	—
1012	Q₈	—	376	1	no	—
1013	Q₈	—	376	1	no	—
1014	Q₈	—	188	2	no	—
1015	D₄	—	2	1	no	—
1016	D₄	—	2	1	no	—
1017	D₄	—	2	1	no	—
1018	D₄	—	2	1	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	4	2	no	—
1021	D₄	—	8	1	no	—
1022	D₄	—	94	2	no	—
1023	D₄	—	376	2	no	—
1024	D₄	—	188	2	no	—
1025	D₄	—	188	4	no	—
1026	D₄	—	188	4	no	—
1027	D₄	#13094071	1	2	yes	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	4	1	no	—
1037	C₂×C₄	—	4	2	no	—
1038	C₂×C₄	—	4	2	no	—
1039	C₂×C₄	—	4	2	no	—
1040	C₂×C₄	—	4	2	no	—
1041	C₂×C₄	—	4	2	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	47	2	no	—
1044	C₂×C₄	—	47	2	no	—
1045	C₂×C₄	—	47	2	no	—
1046	C₂×C₄	—	94	2	no	—
1047	C₂×C₄	—	94	2	no	—
1048	C₂×C₄	—	94	2	no	—
1049	C₂×C₄	—	94	2	no	—
1050	C₂×C₄	—	94	2	no	—
1051	C₂×C₄	—	94	2	no	—
1052	C₂×C₄	—	376	2	no	—
1053	C₂×C₄	—	376	2	no	—
1054	C₂×C₄	—	376	2	no	—
1055	C₂×C₄	—	188	2	no	—
1056	C₂×C₄	—	188	2	no	—
1057	C₂×C₄	—	188	4	no	—
1058	C₂×C₄	—	188	4	no	—
1059	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1060	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1061	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1062	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1063	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1064	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1065	C₈	—	2	1	no	—
1066	C₈	—	2	1	no	—
1067	C₈	—	2	1	no	—
1068	C₈	—	2	1	no	—
1069	C₈	—	94	2	no	—
1070	C₈	—	94	2	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	8	4	no	—
1084	C₂²	—	94	2	no	—
1085	C₂²	—	94	2	no	—
1086	C₂²	—	94	2	no	—
1087	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	1	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	94	2	no	—
1098	C₄	—	94	2	no	—
1099	C₄	—	94	2	no	—
1100	C₄	—	188	2	no	—
1101	C₄	—	188	2	no	—
1102	C₄	—	188	2	no	—
1103	C₄	—	188	2	no	—
1104	C₄	#15689919	1	2	yes	—
1105	C₄	C₂×#13094071	1	1	yes	characteristic
1106	C₄	#15689959	1	1	yes	characteristic
1107	C₂	—	4	1	no	—
1108	C₂	—	4	2	no	—
1109	C₂	—	8	1	no	—
1110	C₂	—	8	1	no	—
1111	C₂	—	188	2	no	—
1112	C₂	#20257060	1	1	yes	characteristic
1113	C₂	C₂×#15689919	1	1	yes	characteristic
1114	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3105	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3105	D₄₇
hypocenter	C₄₇	#62152
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3105

Complements

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

N	H ≅ G/N	type
1. #20257368	C₂	semidirect
2. #20256946	C₂	semidirect
3. #20256261	C₂	semidirect
4. #20256253	C₂	semidirect
5. #20256071	C₂	semidirect
6. #20256035	C₂	semidirect
7. #20256016	C₂	semidirect
8. #20255985	C₂	semidirect
9. #20255963	C₂	semidirect
10. #20255952	C₂	semidirect
11. #20255706	C₂	semidirect
12. #20255695	C₂	semidirect
13. #20255608	C₂	semidirect
14. #20255593	C₂	semidirect
15. #20254786	C₂	semidirect
16. #20254761	C₂	semidirect
17. #20254554	C₂	semidirect
18. #20254549	C₂	semidirect
19. #20253403	C₂	semidirect
20. #20253205	C₂	semidirect
21. #20253185	C₂	semidirect
22. #20252517	C₂	semidirect
23. C₄₇×#3105	C₂	semidirect
24. #15689852	C₂²	semidirect
27. #15689833	C₂²	semidirect
29. #15689830	C₂²	semidirect
39. #15689778	C₂²	semidirect
48. #15689652	C₂²	semidirect
49. #125×D₄₇	C₂²	semidirect
55. #15689528	C₂²	semidirect
56. #15689524	C₂²	semidirect
57. #15689523	C₂²	semidirect
58. #15689521	C₂²	semidirect
61. #15689474	C₂²	semidirect
62. #15689474	C₂²	semidirect
65. #15689463	C₂²	semidirect
66. #15689460	C₂²	semidirect
67. #15689455	C₂²	semidirect
68. #15689446	C₂²	semidirect
71. #15689433	C₂²	semidirect
72. #15689431	C₂²	semidirect
73. #15689431	C₂²	semidirect
74. #15689429	C₂²	semidirect
75. #15689428	C₂²	semidirect
76. #15689427	C₂²	semidirect
81. #15689421	C₂²	semidirect
82. #15689418	C₂²	semidirect
85. #15689413	C₂²	semidirect
88. #15689380	C₂²	semidirect
91. #15689368	C₂²	semidirect
95. #15689342	C₂²	semidirect
97. #15689333	C₂²	semidirect
98. #15689328	C₂²	semidirect
101. C₈×Dic₉₄	C₂²	semidirect
102. C₈×Dic₉₄	C₂²	semidirect
103. #15689215	C₂²	semidirect
104. #15689214	C₂²	semidirect
107. #15689202	C₂²	semidirect
108. #15689202	C₂²	semidirect
111. #15689175	C₂²	semidirect
112. #15689164	C₂²	semidirect
114. #15689162	C₂²	semidirect
116. #15689145	C₂²	semidirect
568. #3105	D₄₇	semidirect
692. C₄₇	#62152	semidirect

Maximal subgroups

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

subgroup	index
#20257368	2
#20256946	2
#20256261	2
#20256253	2
#20256071	2
#20256035	2
#20256016	2
#20255985	2
#20255963	2
#20255952	2
#20255706	2
#20255695	2
#20255608	2
#20255593	2
#20254786	2
#20254761	2
#20254554	2
#20254549	2
#20253403	2
#20253205	2
#20253185	2
#20252517	2
C₄₇×#3105	2
#62152	47