Subgroups — #27086294

Order 12032.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256809	C₂	1	2	yes	maximal, complemented
2	#20254070	C₂	1	2	yes	maximal, complemented
3	#20254066	C₂	1	2	yes	maximal, complemented
4	#20254039	C₂	1	1	yes	maximal, characteristic, complemented
5	#20254031	C₂	1	1	yes	maximal, characteristic, complemented
6	#20254028	C₂	1	1	yes	maximal, characteristic, complemented
7	#20254024	C₂	1	1	yes	maximal, characteristic, complemented
8	#20253984	C₂	1	2	yes	maximal, complemented
9	#20253979	C₂	1	2	yes	maximal, complemented
10	#20253967	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253964	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253961	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253925	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253870	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253741	C₂	1	2	yes	maximal, complemented
16	#20253061	C₂	1	2	yes	maximal, complemented
17	#20253059	C₂	1	1	yes	maximal, characteristic, complemented
18	#20253031	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094051	C₂	1	2	yes	maximal, complemented
20	C₄×#13094047	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×D₈×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13094030	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3168	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094051	C₂²	1	2	yes	—
25	C₂×#13094047	C₂²	1	1	yes	characteristic
26	C₂×D₈×D₄₇	C₂²	1	1	yes	characteristic
27	C₂×#13094030	C₂²	1	1	yes	characteristic
28	C₂×#13094030	C₂²	1	1	yes	characteristic
29	#15689753	C₂²	1	2	yes	—
30	#15689746	C₂²	1	2	yes	complemented
31	#15689742	C₂²	1	2	yes	complemented
32	#15689739	—	2	2	no	—
33	#15689729	C₂²	1	2	yes	complemented
34	#15689726	C₂²	1	2	yes	complemented
35	#15689725	—	2	2	no	—
36	#15689712	—	2	2	no	—
37	#15689709	—	2	2	no	—
38	#15689703	C₂²	1	2	yes	—
39	#15689691	C₂²	1	2	yes	—
40	#15689689	C₂²	1	2	yes	—
41	#15689673	C₂²	1	2	yes	complemented
42	#15689670	—	2	2	no	—
43	#15689670	C₂²	1	2	yes	complemented
44	#15689660	C₂²	1	2	yes	complemented
45	#15689651	—	2	2	no	—
46	#15689635	—	2	2	no	—
47	#15689632	—	2	2	no	—
48	C₄×#10625354	C₂²	1	2	yes	—
49	C₄×#10625350	C₂²	1	1	yes	characteristic
50	C₄×D₄×D₄₇	C₂²	1	2	yes	—
51	#15689533	C₂²	1	2	yes	complemented
52	#15689530	C₂²	1	2	yes	complemented
53	#15689528	C₂²	1	1	yes	characteristic, complemented
54	#15689527	C₂²	1	1	yes	characteristic, complemented
55	#15689524	C₂²	1	1	yes	characteristic, complemented
56	#15689513	C₂²	1	2	yes	—
57	#15689509	C₂²	1	2	yes	—
58	#15689508	C₂²	1	1	yes	characteristic
59	#15689500	C₂²	1	1	yes	characteristic
60	#15689498	C₂²	1	1	yes	characteristic
61	#15689489	C₂²	1	2	yes	complemented
62	#15689486	C₂²	1	2	yes	complemented
63	#15689484	C₂²	1	2	yes	complemented
64	#15689482	C₂²	1	2	yes	complemented
65	#15689479	C₂²	1	2	yes	complemented
66	#15689470	C₂²	1	2	yes	complemented
67	#15689468	C₂²	1	2	yes	complemented
68	#15689377	C₂²	1	2	yes	complemented
69	#15689375	C₂²	1	2	yes	—
70	#15689374	C₂²	1	2	yes	—
71	#15689374	C₂²	1	2	yes	complemented
72	#15689372	C₂²	1	2	yes	complemented
73	#15689371	C₂²	1	2	yes	complemented
74	#15689371	C₂²	1	2	yes	complemented
75	#15689366	C₂²	1	2	yes	complemented
76	#15689361	C₂²	1	1	yes	characteristic, complemented
77	#15689360	C₂²	1	1	yes	characteristic
78	#15689360	C₂²	1	1	yes	characteristic, complemented
79	#15689359	C₂²	1	1	yes	characteristic
80	#15689359	C₂²	1	1	yes	characteristic, complemented
81	#15689359	C₂²	1	2	yes	complemented
82	#15689358	C₂²	1	2	yes	complemented
83	#15689356	C₂²	1	1	yes	characteristic
84	#15689355	C₂²	1	2	yes	complemented
85	#15689234	C₂²	1	2	yes	complemented
86	#15689232	C₂²	1	2	yes	complemented
87	#15689226	C₂²	1	2	yes	complemented
88	#15689224	C₂²	1	2	yes	complemented
89	Q₁₆×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
90	C₄×#10625336	C₂²	1	2	yes	complemented
91	C₄×#10625336	C₂²	1	2	yes	complemented
92	#15689208	C₂²	1	2	yes	complemented
93	C₄×D₃₇₆	C₂²	1	1	yes	characteristic
94	C₄×D₃₇₆	C₂²	1	1	yes	characteristic, complemented
95	C₄×D₃₇₆	C₂²	1	2	yes	complemented
96	D₈×Dic₄₇	C₂²	1	1	yes	characteristic
97	#15689205	C₂²	1	1	yes	characteristic
98	#15689205	C₂²	1	1	yes	characteristic, complemented
99	C₄×#10625334	C₂²	1	2	yes	—
100	C₄×#10625334	C₂²	1	2	yes	complemented
101	#15689203	C₂²	1	2	yes	—
102	#15689162	C₂²	1	2	yes	—
103	#15689160	C₂²	1	1	yes	characteristic
104	#107×D₄₇	C₂²	1	1	yes	characteristic
105	#15689126	C₂²	1	2	yes	—
106	#15689123	C₂²	1	2	yes	—
107	#15689118	C₂²	1	2	yes	—
108	#102×D₄₇	C₂²	1	2	yes	—
109	#15689078	C₂²	1	1	yes	characteristic, complemented
110	#15689078	C₂²	1	1	yes	characteristic, complemented
111	#15689077	C₂²	1	1	yes	characteristic
112	#15689077	C₂²	1	1	yes	characteristic
113	#15689077	C₂²	1	1	yes	characteristic, complemented
114	#15689077	C₂²	1	1	yes	characteristic, complemented
115	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
116	C₄×#10625324	C₂²	1	1	yes	characteristic
117	C₄×#10625324	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic
119	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
120	C₄₇×#529	C₂²	1	2	yes	complemented
121	C₄₇×#499	C₂²	1	1	yes	characteristic, complemented
122	C₄₇×#495	C₂²	1	1	yes	characteristic
123	C₄₇×#488	C₂²	1	2	yes	complemented
124	C₄₇×#467	C₂²	1	1	yes	characteristic, complemented
125	C₄₇×#466	C₂²	1	1	yes	characteristic
126	C₄₇×#465	C₂²	1	2	yes	complemented
127	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₇	C₂²	1	2	yes	complemented
129	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
130	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₂×#10625354	C₂³	1	2	yes	—
132	C₂×#10625350	—	2	2	no	—
133	C₂×#10625350	—	2	2	no	—
134	C₂×#10625350	C₂³	1	1	yes	characteristic
135	C₂×D₄×D₄₇	C₂³	1	2	yes	—
136	C₂²×C₄×D₄₇	—	2	2	no	—
137	#13094051	—	2	8	no	—
138	#13094047	—	2	4	no	—
139	C₂×#10625336	C₂³	1	2	yes	—
140	C₂×#10625336	C₂³	1	2	yes	—
141	C₂×D₃₇₆	C₂³	1	2	yes	—
142	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
143	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
144	C₂×#10625334	C₂³	1	2	yes	—
145	C₂×#10625334	C₂³	1	2	yes	—
146	D₈×D₄₇	—	2	4	no	—
147	#13094030	—	2	4	no	—
148	#13094030	—	2	4	no	—
149	C₂×#10625329	C₂³	1	1	yes	characteristic
150	C₂×#10625329	C₂³	1	1	yes	characteristic
151	C₂×#10625324	C₂³	1	1	yes	characteristic
152	C₂×#10625324	C₂³	1	1	yes	characteristic
153	C₂×#10625324	C₂³	1	1	yes	characteristic
154	C₂×#10625324	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
157	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
158	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
159	#13094024	C₂³	1	2	yes	—
160	#13094023	—	2	2	no	—
161	#13094023	C₂³	1	2	yes	—
162	#13094021	C₂³	1	2	yes	—
163	#13094020	—	2	2	no	—
164	#13094020	C₂³	1	2	yes	—
165	#13094019	—	2	2	no	—
166	#13094019	—	2	2	no	—
167	#13094017	—	2	2	no	—
168	#13094015	C₂³	1	2	yes	—
169	#13094014	—	2	2	no	—
170	#13094013	C₂³	1	2	yes	—
171	#13094012	—	2	2	no	—
172	#13094010	—	2	2	no	—
173	#13094010	—	2	2	no	—
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	#13094008	—	2	2	no	—
180	#13094008	—	2	2	no	—
181	#13094006	—	2	2	no	—
182	#13094006	—	2	2	no	—
183	#13094004	—	2	2	no	—
184	#13094004	—	2	2	no	—
185	#13094002	—	2	2	no	—
186	#13094002	—	2	2	no	—
187	#13094001	—	2	2	no	—
188	#13094000	C₂³	1	2	yes	—
189	#13093999	—	2	2	no	—
190	#13093999	—	2	2	no	—
191	#13093999	—	2	2	no	—
192	#13093999	C₂³	1	2	yes	—
193	#13093999	C₂³	1	2	yes	—
194	#13093998	—	2	2	no	—
195	#13093998	C₂³	1	2	yes	—
196	#13093998	C₂³	1	2	yes	—
197	#13093997	—	2	2	no	—
198	#13093997	—	2	2	no	—
199	#13093997	—	2	2	no	—
200	#13093997	—	2	2	no	—
201	#13093997	—	2	2	no	—
202	#13093996	—	2	2	no	—
203	#13093995	—	2	2	no	—
204	#13093995	C₂³	1	2	yes	—
205	#13093994	—	2	2	no	—
206	#13093994	—	2	2	no	—
207	#13093994	—	2	2	no	—
208	#13093992	—	2	2	no	—
209	Q₈×Dic₄₇	C₂³	1	2	yes	—
210	C₄×Dic₉₄	D₄	1	1	yes	characteristic
211	C₄×Dic₉₄	D₄	1	1	yes	characteristic
212	C₄×D₁₈₈	—	2	2	no	—
213	C₄×D₁₈₈	—	2	2	no	—
214	C₄×D₁₈₈	—	2	2	no	—
215	C₄×D₁₈₈	D₄	1	1	yes	characteristic
216	C₄×D₁₈₈	D₄	1	1	yes	characteristic
217	C₄×D₁₈₈	C₂³	1	2	yes	—
218	C₄×D₁₈₈	C₂³	1	2	yes	—
219	D₄×Dic₄₇	C₂³	1	2	yes	—
220	#13093986	—	2	2	no	—
221	#13093986	C₂³	1	2	yes	—
222	#13093986	C₂³	1	2	yes	—
223	C₄×C₂²⋊D₄₇	—	2	2	no	—
224	C₄×C₂²⋊D₄₇	—	2	2	no	—
225	C₄×C₂²⋊D₄₇	D₄	1	1	yes	characteristic
226	C₄×C₂²⋊D₄₇	D₄	1	1	yes	characteristic
227	C₄×C₂²⋊D₄₇	D₄	1	1	yes	characteristic
228	C₄×C₂²⋊D₄₇	D₄	1	1	yes	characteristic
229	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
230	#13093983	C₂³	1	1	yes	characteristic
231	#13093982	—	2	2	no	—
232	#13093982	C₂³	1	2	yes	—
233	#13093981	—	2	2	no	—
234	#13093981	C₂³	1	1	yes	characteristic
235	#13093981	C₂³	1	1	yes	characteristic
236	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
237	C₂²⋊C₄×D₄₇	—	2	2	no	—
238	C₄²×D₄₇	—	2	2	no	—
239	C₄²×D₄₇	C₂³	1	1	yes	characteristic
240	C₄²×D₄₇	C₂³	1	1	yes	characteristic
241	#13093958	C₂³	1	1	yes	characteristic
242	#13093958	C₂³	1	2	yes	—
243	#13093958	C₂³	1	1	yes	characteristic
244	#13093957	C₂³	1	2	yes	—
245	#13093957	C₂³	1	2	yes	—
246	#13093955	C₂³	1	2	yes	—
247	#13093955	C₂³	1	2	yes	—
248	#13093948	C₂³	1	2	yes	—
249	#13093948	C₂³	1	2	yes	—
250	#13093946	C₂³	1	2	yes	—
251	#13093946	C₂³	1	2	yes	—
252	#13093946	C₂³	1	2	yes	—
253	#13093946	C₂³	1	2	yes	—
254	#13093945	C₂³	1	2	yes	—
255	#13093945	C₂³	1	2	yes	—
256	#13093944	C₂³	1	2	yes	—
257	#13093944	C₂³	1	2	yes	—
258	#13093944	C₂³	1	2	yes	—
259	#13093944	C₂³	1	2	yes	—
260	#13093935	C₂³	1	1	yes	characteristic
261	#13093935	C₂³	1	1	yes	characteristic
262	#13093934	C₂³	1	1	yes	characteristic
263	#13093934	C₂³	1	1	yes	characteristic
264	#13093934	C₂³	1	1	yes	characteristic
265	#13093934	C₂³	1	1	yes	characteristic
266	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
267	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
268	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
269	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
270	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
271	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
272	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
273	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	—
274	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
275	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
277	#126×C₄₇	—	2	2	no	—
278	#125×C₄₇	C₂³	1	2	yes	—
279	#124×C₄₇	C₂³	1	2	yes	—
280	#123×C₄₇	—	2	2	no	—
281	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
282	#121×C₄₇	C₂³	1	2	yes	—
283	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
284	C₄×D₄×C₄₇	—	2	2	no	—
285	C₄×D₄×C₄₇	C₂³	1	2	yes	—
286	#117×C₄₇	—	2	2	no	—
287	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
288	#107×C₄₇	C₂³	1	1	yes	characteristic
289	#107×C₄₇	C₂³	1	1	yes	characteristic
290	#106×C₄₇	C₂³	1	2	yes	—
291	#103×C₄₇	C₂³	1	2	yes	—
292	#103×C₄₇	C₂³	1	2	yes	—
293	#102×C₄₇	C₂³	1	2	yes	—
294	#102×C₄₇	C₂³	1	2	yes	—
295	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
296	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
297	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
298	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
299	C₂³×D₄₇	—	2	2	no	—
300	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
301	C₂×D₄×C₄₇	—	2	2	no	—
302	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₄₇	—	2	2	no	—
304	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
305	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
306	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
307	C₂×C₂²⋊D₄₇	—	2	2	no	—
308	C₂×C₂²⋊D₄₇	—	2	2	no	—
309	C₂×C₂²⋊D₄₇	—	2	2	no	—
310	C₂×C₂²⋊D₄₇	—	2	2	no	—
311	C₂×C₂²⋊D₄₇	—	2	2	no	—
312	C₂×C₂²⋊D₄₇	—	2	2	no	—
313	C₂×C₂²⋊D₄₇	C₂×D₄	1	1	yes	characteristic
314	C₂×C₂²⋊D₄₇	C₂×D₄	1	1	yes	characteristic
315	C₂²×Dic₄₇	—	2	2	no	—
316	#10625354	—	2	4	no	—
317	#10625354	—	2	4	no	—
318	D₄×D₄₇	—	2	4	no	—
319	D₄×D₄₇	—	2	4	no	—
320	#10625350	—	2	2	no	—
321	#10625350	—	2	2	no	—
322	#10625350	—	8	4	no	—
323	#10625350	—	8	4	no	—
324	C₂×D₁₈₈	—	2	2	no	—
325	C₂×D₁₈₈	—	2	2	no	—
326	C₂×D₁₈₈	—	2	2	no	—
327	C₂×D₁₈₈	—	2	2	no	—
328	C₂×D₁₈₈	—	2	2	no	—
329	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
330	C₂×D₁₈₈	C₂⁴	1	2	yes	—
331	C₂×D₁₈₈	C₂⁴	1	2	yes	—
332	C₂×C₄×D₄₇	—	2	2	no	—
333	C₂×C₄×D₄₇	—	2	2	no	—
334	C₂×C₄×D₄₇	—	2	2	no	—
335	C₂×C₄×D₄₇	—	2	2	no	—
336	C₂×C₄×D₄₇	—	2	2	no	—
337	C₂×C₄×D₄₇	—	2	2	no	—
338	C₂×C₄×D₄₇	—	8	4	no	—
339	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
340	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
341	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
342	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
343	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
344	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
345	C₂×Dic₉₄	—	2	2	no	—
346	C₂×Dic₉₄	—	2	2	no	—
347	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
348	Q₁₆×C₄₇	—	2	2	no	—
349	SD₁₆×C₄₇	—	2	4	no	—
350	D₈×C₄₇	—	2	2	no	—
351	C₂×C₈×C₄₇	—	2	2	no	—
352	C₂×C₈×C₄₇	—	2	2	no	—
353	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
354	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
355	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
356	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
357	C₄⋊C₄×C₄₇	—	2	2	no	—
358	C₄⋊C₄×C₄₇	—	2	2	no	—
359	C₄⋊C₄×C₄₇	—	2	2	no	—
360	C₄⋊C₄×C₄₇	—	2	2	no	—
361	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
362	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
363	C₂²⋊C₄×C₄₇	—	2	2	no	—
364	C₂²⋊C₄×C₄₇	—	2	2	no	—
365	C₂²⋊C₄×C₄₇	—	2	2	no	—
366	C₂²⋊C₄×C₄₇	—	2	2	no	—
367	C₂²⋊C₄×C₄₇	—	2	2	no	—
368	C₄²×C₄₇	—	2	2	no	—
369	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
370	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
371	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²⋊Dic₄₇	—	2	2	no	—
374	C₂²⋊Dic₄₇	—	2	2	no	—
375	C₂²⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
376	C₂²⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
377	#10625336	—	2	4	no	—
378	#10625336	—	2	4	no	—
379	#10625334	—	2	4	no	—
380	#10625334	—	2	4	no	—
381	(C₂×D₄₇)⋊C₄	—	2	2	no	—
382	(C₂×D₄₇)⋊C₄	—	2	2	no	—
383	(C₂×D₄₇)⋊C₄	—	2	2	no	—
384	(C₂×D₄₇)⋊C₄	—	2	2	no	—
385	(C₂×D₄₇)⋊C₄	—	2	2	no	—
386	(C₂×D₄₇)⋊C₄	—	2	2	no	—
387	(C₂×D₄₇)⋊C₄	—	2	2	no	—
388	(C₂×D₄₇)⋊C₄	—	2	2	no	—
389	(C₂×D₄₇)⋊C₄	—	2	2	no	—
390	(C₂×D₄₇)⋊C₄	—	2	2	no	—
391	(C₂×D₄₇)⋊C₄	—	2	2	no	—
392	(C₂×D₄₇)⋊C₄	—	2	2	no	—
393	(C₂×D₄₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
394	(C₂×D₄₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
395	(C₂×D₄₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
396	(C₂×D₄₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
397	C₄⋊Dic₄₇	—	2	2	no	—
398	C₄⋊Dic₄₇	—	2	2	no	—
399	C₄⋊Dic₄₇	—	2	2	no	—
400	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
401	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
402	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
403	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
404	Dic₄₇⋊C₄	—	2	2	no	—
405	Dic₄₇⋊C₄	—	2	2	no	—
406	Dic₄₇⋊C₄	—	2	2	no	—
407	Dic₄₇⋊C₄	—	2	2	no	—
408	Dic₄₇⋊C₄	C₂×D₄	1	1	yes	characteristic
409	Dic₄₇⋊C₄	C₂×D₄	1	1	yes	characteristic
410	Dic₄₇⋊C₄	C₂×D₄	1	1	yes	characteristic
411	Dic₄₇⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₄×Dic₄₇	—	2	2	no	—
413	C₄×Dic₄₇	—	2	2	no	—
414	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
415	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
416	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
417	C₄×Dic₄₇	C₂×D₄	1	1	yes	characteristic
418	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
419	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
420	#10625329	—	2	2	no	—
421	#10625329	—	2	2	no	—
422	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
423	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
424	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
425	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
426	D₃₇₆	—	2	2	no	—
427	D₃₇₆	—	2	2	no	—
428	D₃₇₆	—	2	4	no	—
429	#10625324	—	2	2	no	—
430	#10625324	—	2	2	no	—
431	#10625324	—	2	2	no	—
432	#10625324	#41	1	4	yes	complemented
433	C₈×D₄₇	—	2	2	no	—
434	C₈×D₄₇	—	2	2	no	—
435	C₈×D₄₇	—	2	2	no	—
436	C₈×D₄₇	#41	1	4	yes	complemented
437	C₂³×C₄₇	—	2	2	no	—
438	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
439	C₂²×D₄₇	—	2	2	no	—
440	C₂²×D₄₇	—	2	2	no	—
441	C₂²×D₄₇	—	4	4	no	—
442	C₂²×D₄₇	—	8	2	no	—
443	C₂²×D₄₇	—	8	2	no	—
444	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
445	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
446	Q₈×C₄₇	—	2	2	no	—
447	Q₈×C₄₇	—	2	2	no	—
448	D₄×C₄₇	—	2	2	no	—
449	D₄×C₄₇	—	2	2	no	—
450	D₄×C₄₇	—	8	2	no	—
451	C₂×C₄×C₄₇	—	2	2	no	—
452	C₂×C₄×C₄₇	—	2	1	no	—
453	C₂×C₄×C₄₇	—	2	1	no	—
454	C₂×C₄×C₄₇	—	2	2	no	—
455	C₂×C₄×C₄₇	—	2	2	no	—
456	C₂×C₄×C₄₇	—	2	2	no	—
457	C₂×C₄×C₄₇	—	4	1	no	—
458	C₂×C₄×C₄₇	—	4	4	no	—
459	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
460	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
461	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
462	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
463	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
465	C₂²⋊D₄₇	—	2	2	no	—
466	C₂²⋊D₄₇	—	2	2	no	—
467	C₂²⋊D₄₇	—	4	4	no	—
468	C₂²⋊D₄₇	—	8	2	no	—
469	C₂²⋊D₄₇	—	8	2	no	—
470	C₂²⋊D₄₇	—	8	2	no	—
471	C₂²⋊D₄₇	—	8	2	no	—
472	C₂²⋊D₄₇	—	8	2	no	—
473	C₂×Dic₄₇	—	2	2	no	—
474	C₂×Dic₄₇	—	2	2	no	—
475	C₂×Dic₄₇	—	8	2	no	—
476	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
477	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
478	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
479	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
480	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
481	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
482	D₁₈₈	—	2	2	no	—
483	D₁₈₈	—	2	2	no	—
484	D₁₈₈	—	2	2	no	—
485	D₁₈₈	—	2	2	no	—
486	D₁₈₈	—	2	2	no	—
487	D₁₈₈	—	4	4	no	—
488	D₁₈₈	—	8	2	no	—
489	D₁₈₈	—	8	2	no	—
490	D₁₈₈	—	8	2	no	—
491	D₁₈₈	—	8	2	no	—
492	C₄×D₄₇	—	2	2	no	—
493	C₄×D₄₇	—	2	2	no	—
494	C₄×D₄₇	—	2	1	no	—
495	C₄×D₄₇	—	2	1	no	—
496	C₄×D₄₇	—	4	1	no	—
497	C₄×D₄₇	—	4	1	no	—
498	C₄×D₄₇	—	4	4	no	—
499	C₄×D₄₇	—	4	4	no	—
500	C₄×D₄₇	—	4	4	no	—
501	C₄×D₄₇	—	8	2	no	—
502	C₄×D₄₇	—	8	2	no	—
503	C₄×D₄₇	—	8	2	no	—
504	C₄×D₄₇	C₂×#41	1	2	yes	—
505	C₄×D₄₇	C₂×#41	1	2	yes	—
506	Dic₉₄	—	2	2	no	—
507	Dic₉₄	—	8	2	no	—
508	Dic₉₄	—	8	2	no	—
509	C₈×C₄₇	—	2	1	no	—
510	C₈×C₄₇	—	2	1	no	—
511	C₈×C₄₇	C₂×#41	1	2	yes	—
512	C₈×C₄₇	C₂×#41	1	2	yes	—
513	C₄₇⋊C₈	—	2	1	no	—
514	C₄₇⋊C₈	—	2	1	no	—
515	C₄₇⋊C₈	C₂×#41	1	2	yes	—
516	C₄₇⋊C₈	C₂×#41	1	2	yes	—
517	#60695	—	47	1	no	maximal, Sylow
518	C₂²×C₄₇	—	2	1	no	—
519	C₂²×C₄₇	—	2	1	no	—
520	C₂²×C₄₇	—	2	1	no	—
521	C₂²×C₄₇	—	4	2	no	—
522	C₂²×C₄₇	—	4	2	no	—
523	C₂²×C₄₇	—	4	2	no	—
524	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
525	C₂×D₄₇	—	2	1	no	—
526	C₂×D₄₇	—	2	1	no	—
527	C₂×D₄₇	—	2	1	no	—
528	C₂×D₄₇	—	2	1	no	—
529	C₂×D₄₇	—	2	1	no	—
530	C₂×D₄₇	—	4	2	no	—
531	C₂×D₄₇	—	4	2	no	—
532	C₂×D₄₇	—	4	2	no	—
533	C₂×D₄₇	—	4	2	no	—
534	C₂×D₄₇	—	4	2	no	—
535	C₂×D₄₇	—	4	2	no	—
536	C₂×D₄₇	—	8	8	no	—
537	C₂×D₄₇	#532	1	2	yes	—
538	C₄×C₄₇	—	2	1	no	—
539	C₄×C₄₇	—	2	1	no	—
540	C₄×C₄₇	—	2	1	no	—
541	C₄×C₄₇	—	2	1	no	—
542	C₄×C₄₇	—	4	2	no	—
543	C₄×C₄₇	—	4	2	no	—
544	C₄×C₄₇	—	4	2	no	—
545	C₄×C₄₇	#576	1	2	yes	—
546	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
547	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
548	Dic₄₇	—	2	1	no	—
549	Dic₄₇	—	2	1	no	—
550	Dic₄₇	—	2	1	no	—
551	Dic₄₇	—	2	1	no	—
552	Dic₄₇	—	2	1	no	—
553	Dic₄₇	—	4	2	no	—
554	Dic₄₇	—	4	2	no	—
555	Dic₄₇	#532	1	2	yes	—
556	#3460	—	47	2	no	—
557	#3179	—	47	2	no	—
558	#3179	—	47	2	no	—
559	#3176	—	47	1	no	—
560	#3176	—	47	1	no	—
561	#3175	—	47	1	no	—
562	#3175	—	47	1	no	—
563	#3171	—	47	2	no	—
564	#3171	—	47	2	no	—
565	#3169	—	47	1	no	—
566	#3169	—	47	1	no	—
567	#3168	—	47	1	no	—
568	#3168	D₄₇	1	1	yes	characteristic, complemented
569	#3164	—	47	1	no	—
570	#3155	—	47	1	no	—
571	#3136	—	47	2	no	—
572	#3062	—	47	2	no	—
573	#3061	—	47	1	no	—
574	#3058	—	47	1	no	—
575	C₄×AGL(1,ℤ/8)	—	47	2	no	—
576	C₄×#135	—	47	1	no	—
577	C₂×C₄×D₈	—	47	1	no	—
578	C₄×#131	—	47	1	no	—
579	C₂×C₄₇	—	4	1	no	—
580	C₂×C₄₇	—	8	2	no	—
581	C₂×C₄₇	C₂×#532	1	1	yes	characteristic
582	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
583	C₂×C₄₇	#3584	1	1	yes	characteristic
584	D₄₇	—	2	2	no	—
585	D₄₇	—	4	1	no	—
586	D₄₇	—	8	2	no	—
587	D₄₇	—	8	2	no	—
588	C₂×AGL(1,ℤ/8)	—	47	2	no	—
589	C₂×#135	—	47	1	no	—
590	C₂²×D₈	—	47	1	no	—
591	C₂×#131	—	47	1	no	—
592	C₂×#131	—	47	1	no	—
593	#544	—	47	2	no	—
594	#542	—	47	2	no	—
595	#542	—	47	2	no	—
596	#542	—	94	2	no	—
597	#540	—	47	2	no	—
598	#540	—	47	2	no	—
599	#540	—	94	2	no	—
600	#538	—	94	2	no	—
601	#538	—	94	2	no	—
602	#537	—	47	2	no	—
603	#535	—	47	2	no	—
604	#535	—	47	2	no	—
605	#532	—	47	2	no	—
606	#532	—	47	2	no	—
607	#532	—	94	2	no	—
608	#529	—	47	2	no	—
609	#529	—	94	2	no	—
610	#529	C₂×D₄₇	1	2	yes	complemented
611	#525	—	94	2	no	—
612	#525	—	94	2	no	—
613	C₄×#41	—	47	1	no	—
614	C₄×#41	—	47	2	no	—
615	C₂×C₄×D₄	—	47	2	no	—
616	#501	—	47	2	no	—
617	#501	—	47	2	no	—
618	#500	—	47	1	no	—
619	#500	—	47	1	no	—
620	#499	—	47	1	no	—
621	#499	C₂×D₄₇	1	1	yes	characteristic, complemented
622	#496	—	47	2	no	—
623	#496	—	47	2	no	—
624	#495	—	47	1	no	—
625	#495	C₂×D₄₇	1	1	yes	characteristic
626	#493	—	47	1	no	—
627	#493	—	47	1	no	—
628	#490	—	47	2	no	—
629	#490	—	47	2	no	—
630	#489	—	47	2	no	—
631	#489	—	47	2	no	—
632	#488	—	47	2	no	—
633	#488	C₂×D₄₇	1	2	yes	complemented
634	#486	—	47	2	no	—
635	#486	—	47	2	no	—
636	#469	—	47	2	no	—
637	#469	—	47	2	no	—
638	#469	—	47	2	no	—
639	#469	—	47	2	no	—
640	#468	—	47	2	no	—
641	#468	—	47	2	no	—
642	#468	—	47	2	no	—
643	#468	—	47	2	no	—
644	#467	—	47	1	no	—
645	#467	C₂×D₄₇	1	1	yes	characteristic, complemented
646	#466	—	47	1	no	—
647	#466	—	47	1	no	—
648	#466	—	47	1	no	—
649	#466	—	47	2	no	—
650	#466	—	47	1	no	—
651	#466	—	47	1	no	—
652	#466	—	47	2	no	—
653	#466	C₂×D₄₇	1	1	yes	characteristic
654	#465	—	47	2	no	—
655	#465	C₂×D₄₇	1	2	yes	complemented
656	#442	—	47	2	no	—
657	#442	—	47	2	no	—
658	#440	—	47	2	no	—
659	#440	—	47	2	no	—
660	C₄×Q₁₆	—	47	1	no	—
661	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
662	C₄×SD₁₆	—	47	2	no	—
663	C₄×SD₁₆	—	47	2	no	—
664	C₄×SD₁₆	—	47	2	no	—
665	C₄×SD₁₆	C₂×D₄₇	1	2	yes	complemented
666	C₄×D₈	—	47	1	no	—
667	C₄×D₈	—	47	2	no	—
668	C₄×D₈	—	47	2	no	—
669	C₄×D₈	—	47	1	no	—
670	C₄×D₈	—	47	1	no	—
671	C₄×D₈	—	47	2	no	—
672	C₄×D₈	—	47	1	no	—
673	C₄×D₈	—	47	1	no	—
674	C₄×D₈	—	47	2	no	—
675	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
676	#428	—	47	2	no	—
677	#427	—	47	1	no	—
678	C₂×#107	—	47	1	no	—
679	#418	—	47	2	no	—
680	#417	—	47	2	no	—
681	#416	—	47	2	no	—
682	C₂×#102	—	47	2	no	—
683	#405	—	47	1	no	—
684	#405	—	47	1	no	—
685	#405	—	47	1	no	—
686	#405	—	47	1	no	—
687	#405	—	47	1	no	—
688	#405	—	47	1	no	—
689	C₄×M₁₆	—	47	1	no	—
690	C₄×M₁₆	—	47	1	no	—
691	C₄×M₁₆	—	47	1	no	—
692	C₂×C₄×C₈	—	47	1	no	—
693	C₂×C₄×C₈	—	47	1	no	—
694	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
695	C₄₇	#60695	1	1	yes	characteristic, complemented, Sylow
696	C₂×#41	—	47	1	no	—
697	C₂×#41	—	47	2	no	—
698	C₂×#41	—	94	2	no	—
699	C₂×#41	—	94	2	no	—
700	C₂²×D₄	—	47	2	no	—
701	C₂³×C₄	—	94	2	no	—
702	AGL(1,ℤ/8)	—	94	8	no	—
703	#135	—	94	4	no	—
704	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
705	C₂×SD₁₆	—	47	2	no	—
706	C₂×SD₁₆	—	47	2	no	—
707	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
708	C₂×D₈	—	47	2	no	—
709	C₂×D₈	—	47	2	no	—
710	C₂×D₈	—	47	1	no	—
711	C₂×D₈	—	47	1	no	—
712	C₂×D₈	—	47	2	no	—
713	C₂×D₈	—	94	4	no	—
714	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
715	#131	—	94	4	no	—
716	#131	—	94	4	no	—
717	C₂×M₁₆	—	47	1	no	—
718	C₂×M₁₆	—	47	1	no	—
719	C₂×M₁₆	—	47	1	no	—
720	C₂×M₁₆	—	47	1	no	—
721	C₂×M₁₆	—	47	1	no	—
722	C₂×M₁₆	—	47	1	no	—
723	C₂²×C₈	—	47	1	no	—
724	C₂²×C₈	—	47	1	no	—
725	C₂²×C₈	—	47	1	no	—
726	C₂²×C₈	—	47	1	no	—
727	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
728	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
729	C₄⋊Q₈	—	47	2	no	—
730	C₄⋊Q₈	—	47	2	no	—
731	C₄⋊Q₈	—	94	2	no	—
732	#127	—	47	2	no	—
733	#127	—	47	2	no	—
734	#127	—	94	2	no	—
735	#126	—	2	2	no	—
736	#126	—	94	2	no	—
737	#126	—	94	2	no	—
738	#126	—	94	2	no	—
739	#125	—	47	2	no	—
740	#125	—	94	2	no	—
741	#125	C₂²×D₄₇	1	2	yes	—
742	#124	—	47	2	no	—
743	#124	—	94	2	no	—
744	#124	—	94	2	no	—
745	#124	—	94	2	no	—
746	#124	—	94	2	no	—
747	#124	—	94	2	no	—
748	#124	C₂²×D₄₇	1	2	yes	—
749	#123	—	2	2	no	—
750	#123	—	94	2	no	—
751	#123	—	94	2	no	—
752	#123	—	94	2	no	—
753	#123	—	94	2	no	—
754	#123	—	94	2	no	—
755	#123	—	94	2	no	—
756	#123	—	94	2	no	—
757	C₂²⋊Q₈	—	47	2	no	—
758	C₂²⋊Q₈	—	94	2	no	—
759	C₂²⋊Q₈	—	94	2	no	—
760	C₂²⋊Q₈	—	94	2	no	—
761	C₂²⋊Q₈	—	94	2	no	—
762	C₂²⋊Q₈	—	94	2	no	—
763	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
764	#121	—	47	2	no	—
765	#121	—	47	2	no	—
766	#121	—	47	2	no	—
767	#121	—	47	2	no	—
768	#121	—	47	2	no	—
769	#121	—	94	2	no	—
770	#121	—	94	2	no	—
771	#121	—	94	2	no	—
772	#121	—	94	2	no	—
773	#121	—	94	2	no	—
774	#121	—	94	2	no	—
775	#121	—	94	2	no	—
776	#121	—	94	2	no	—
777	#121	—	94	2	no	—
778	#121	—	94	2	no	—
779	#121	—	94	2	no	—
780	#121	C₂²×D₄₇	1	2	yes	—
781	#120	—	94	2	no	—
782	#120	—	94	2	no	—
783	#120	—	94	2	no	—
784	#120	—	94	2	no	—
785	C₄×Q₈	—	47	1	no	—
786	C₄×Q₈	—	47	1	no	—
787	C₄×Q₈	—	47	2	no	—
788	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	47	1	no	—
791	C₄×D₄	—	47	1	no	—
792	C₄×D₄	—	47	1	no	—
793	C₄×D₄	—	47	1	no	—
794	C₄×D₄	—	47	2	no	—
795	C₄×D₄	—	47	2	no	—
796	C₄×D₄	—	47	2	no	—
797	C₄×D₄	—	47	1	no	—
798	C₄×D₄	—	47	1	no	—
799	C₄×D₄	—	47	2	no	—
800	C₄×D₄	—	47	2	no	—
801	C₄×D₄	—	94	2	no	—
802	C₄×D₄	—	94	2	no	—
803	C₄×D₄	—	94	2	no	—
804	C₄×D₄	—	94	2	no	—
805	C₄×D₄	—	94	2	no	—
806	C₄×D₄	—	94	2	no	—
807	C₄×D₄	—	94	2	no	—
808	C₄×D₄	C₂²×D₄₇	1	2	yes	—
809	#117	—	2	2	no	—
810	#117	—	47	1	no	—
811	#117	—	47	1	no	—
812	#117	—	47	1	no	—
813	#117	—	47	2	no	—
814	#117	—	94	2	no	—
815	#117	—	94	2	no	—
816	C₂×C₄⋊C₄	—	47	2	no	—
817	C₂×C₂²⋊C₄	—	94	2	no	—
818	C₂×C₄²	—	47	1	no	—
819	C₂×C₄²	—	47	1	no	—
820	C₂×C₄²	—	94	2	no	—
821	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
822	#107	—	47	1	no	—
823	#107	—	47	1	no	—
824	#107	—	47	2	no	—
825	#107	—	47	2	no	—
826	#107	—	47	2	no	—
827	#107	C₂²×D₄₇	1	1	yes	characteristic
828	#107	C₂²×D₄₇	1	1	yes	characteristic
829	#106	—	47	2	no	—
830	#106	—	47	2	no	—
831	#106	C₂²×D₄₇	1	2	yes	—
832	#103	—	47	2	no	—
833	#103	—	47	2	no	—
834	#103	C₂²×D₄₇	1	2	yes	—
835	#103	C₂²×D₄₇	1	2	yes	—
836	#102	—	47	2	no	—
837	#102	—	47	2	no	—
838	#102	—	47	2	no	—
839	#102	—	47	2	no	—
840	#102	—	47	2	no	—
841	#102	—	47	2	no	—
842	#102	—	47	2	no	—
843	#102	—	47	2	no	—
844	#102	—	47	2	no	—
845	#102	—	47	2	no	—
846	#102	C₂²×D₄₇	1	2	yes	—
847	#102	C₂²×D₄₇	1	2	yes	—
848	#97	—	47	1	no	—
849	#97	—	47	1	no	—
850	#97	—	47	1	no	—
851	#97	—	47	1	no	—
852	#97	—	47	1	no	—
853	#97	—	47	1	no	—
854	C₄×C₈	—	47	1	no	—
855	C₄×C₈	—	47	1	no	—
856	C₄×C₈	—	47	1	no	—
857	C₄×C₈	—	47	1	no	—
858	C₄×C₈	—	47	1	no	—
859	C₄×C₈	—	47	1	no	—
860	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
861	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
862	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
863	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
864	C₂⁴	—	94	2	no	—
865	#41	—	94	2	no	—
866	#41	—	94	2	no	—
867	#41	—	94	4	no	—
868	#41	—	94	4	no	—
869	#41	—	376	4	no	—
870	#41	—	376	4	no	—
871	C₂×Q₈	—	47	1	no	—
872	C₂×Q₈	—	94	2	no	—
873	C₂×Q₈	—	94	2	no	—
874	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	47	1	no	—
877	C₂×D₄	—	47	1	no	—
878	C₂×D₄	—	47	1	no	—
879	C₂×D₄	—	47	2	no	—
880	C₂×D₄	—	47	2	no	—
881	C₂×D₄	—	94	2	no	—
882	C₂×D₄	—	94	2	no	—
883	C₂×D₄	—	94	2	no	—
884	C₂×D₄	—	94	4	no	—
885	C₂×D₄	—	94	4	no	—
886	C₂×D₄	—	94	2	no	—
887	C₂×D₄	—	94	2	no	—
888	C₂×D₄	—	94	2	no	—
889	C₂×D₄	—	94	2	no	—
890	C₂×D₄	—	94	2	no	—
891	C₂×D₄	—	94	2	no	—
892	C₂×D₄	—	94	2	no	—
893	C₂×D₄	—	94	2	no	—
894	C₂×D₄	C₂³×D₄₇	1	2	yes	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	47	1	no	—
897	C₂²×C₄	—	47	1	no	—
898	C₂²×C₄	—	47	1	no	—
899	C₂²×C₄	—	47	1	no	—
900	C₂²×C₄	—	47	1	no	—
901	C₂²×C₄	—	47	1	no	—
902	C₂²×C₄	—	94	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	—	376	4	no	—
910	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
911	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
912	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
913	Q₁₆	—	2	2	no	—
914	SD₁₆	—	2	4	no	—
915	SD₁₆	—	94	4	no	—
916	SD₁₆	—	94	4	no	—
917	D₈	—	2	2	no	—
918	D₈	—	94	4	no	—
919	D₈	—	94	4	no	—
920	D₈	—	94	2	no	—
921	D₈	—	94	2	no	—
922	D₈	—	94	4	no	—
923	M₁₆	—	47	4	no	—
924	M₁₆	—	94	2	no	—
925	M₁₆	—	94	2	no	—
926	M₁₆	—	94	2	no	—
927	M₁₆	—	94	2	no	—
928	M₁₆	—	94	2	no	—
929	C₂×C₈	—	2	2	no	—
930	C₂×C₈	—	2	2	no	—
931	C₂×C₈	—	47	1	no	—
932	C₂×C₈	—	47	1	no	—
933	C₂×C₈	—	47	4	no	—
934	C₂×C₈	—	47	1	no	—
935	C₂×C₈	—	47	1	no	—
936	C₂×C₈	—	94	2	no	—
937	C₂×C₈	—	94	2	no	—
938	C₂×C₈	—	94	2	no	—
939	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
940	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
941	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
942	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	47	1	no	—
948	C₄⋊C₄	—	47	1	no	—
949	C₄⋊C₄	—	47	1	no	—
950	C₄⋊C₄	—	47	1	no	—
951	C₄⋊C₄	—	47	1	no	—
952	C₄⋊C₄	—	47	1	no	—
953	C₄⋊C₄	—	47	2	no	—
954	C₄⋊C₄	—	47	2	no	—
955	C₄⋊C₄	—	94	2	no	—
956	C₄⋊C₄	—	94	2	no	—
957	C₄⋊C₄	—	94	2	no	—
958	C₄⋊C₄	—	94	2	no	—
959	C₄⋊C₄	—	94	2	no	—
960	C₄⋊C₄	—	94	2	no	—
961	C₄⋊C₄	—	94	2	no	—
962	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
963	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	47	1	no	—
970	C₂²⋊C₄	—	47	1	no	—
971	C₂²⋊C₄	—	47	1	no	—
972	C₂²⋊C₄	—	47	1	no	—
973	C₂²⋊C₄	—	47	1	no	—
974	C₂²⋊C₄	—	47	1	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	C₂²⋊C₄	—	94	2	no	—
987	C₂²⋊C₄	—	94	2	no	—
988	C₂²⋊C₄	—	94	2	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	47	1	no	—
991	C₄²	—	47	1	no	—
992	C₄²	—	47	1	no	—
993	C₄²	—	47	1	no	—
994	C₄²	—	47	1	no	—
995	C₄²	—	47	1	no	—
996	C₄²	—	94	2	no	—
997	C₄²	—	94	2	no	—
998	C₄²	D₄×D₄₇	1	1	yes	characteristic
999	C₄²	D₄×D₄₇	1	1	yes	characteristic
1000	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1001	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1002	C₂³	—	2	2	no	—
1003	C₂³	—	47	1	no	—
1004	C₂³	—	47	1	no	—
1005	C₂³	—	94	2	no	—
1006	C₂³	—	94	2	no	—
1007	C₂³	—	376	2	no	—
1008	C₂³	—	376	2	no	—
1009	C₂³	—	188	4	no	—
1010	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	94	2	no	—
1014	Q₈	—	376	2	no	—
1015	Q₈	—	376	2	no	—
1016	D₄	—	2	2	no	—
1017	D₄	—	2	2	no	—
1018	D₄	—	8	2	no	—
1019	D₄	—	94	2	no	—
1020	D₄	—	94	2	no	—
1021	D₄	—	94	2	no	—
1022	D₄	—	94	2	no	—
1023	D₄	—	94	2	no	—
1024	D₄	—	94	2	no	—
1025	D₄	—	94	2	no	—
1026	D₄	—	376	2	no	—
1027	D₄	—	376	2	no	—
1028	D₄	—	376	2	no	—
1029	D₄	—	376	2	no	—
1030	D₄	—	376	2	no	—
1031	D₄	—	376	2	no	—
1032	D₄	—	376	2	no	—
1033	D₄	—	376	2	no	—
1034	D₄	—	376	2	no	—
1035	D₄	—	188	4	no	—
1036	D₄	—	188	4	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	4	1	no	—
1044	C₂×C₄	—	4	4	no	—
1045	C₂×C₄	—	47	1	no	—
1046	C₂×C₄	—	47	2	no	—
1047	C₂×C₄	—	47	2	no	—
1048	C₂×C₄	—	47	1	no	—
1049	C₂×C₄	—	47	1	no	—
1050	C₂×C₄	—	47	1	no	—
1051	C₂×C₄	—	47	1	no	—
1052	C₂×C₄	—	47	1	no	—
1053	C₂×C₄	—	94	2	no	—
1054	C₂×C₄	—	94	2	no	—
1055	C₂×C₄	—	94	1	no	—
1056	C₂×C₄	—	94	1	no	—
1057	C₂×C₄	—	94	2	no	—
1058	C₂×C₄	—	94	2	no	—
1059	C₂×C₄	—	376	2	no	—
1060	C₂×C₄	—	376	2	no	—
1061	C₂×C₄	—	376	2	no	—
1062	C₂×C₄	—	376	2	no	—
1063	C₂×C₄	—	188	1	no	—
1064	C₂×C₄	—	188	1	no	—
1065	C₂×C₄	—	188	4	no	—
1066	C₂×C₄	—	188	4	no	—
1067	C₂×C₄	—	188	4	no	—
1068	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1069	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1070	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1071	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1072	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1073	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1074	C₈	—	2	1	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	47	2	no	—
1077	C₈	—	47	2	no	—
1078	C₈	—	94	1	no	—
1079	C₈	—	94	1	no	—
1080	C₈	#41×D₄₇	1	2	yes	—
1081	C₈	#41×D₄₇	1	2	yes	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	47	2	no	—
1089	C₂²	—	94	1	no	—
1090	C₂²	—	94	1	no	—
1091	C₂²	—	94	1	no	—
1092	C₂²	—	94	1	no	—
1093	C₂²	—	94	1	no	—
1094	C₂²	—	376	8	no	—
1095	C₂²	—	188	2	no	—
1096	C₂²	—	188	2	no	—
1097	C₂²	—	188	2	no	—
1098	C₂²	—	188	2	no	—
1099	C₂²	—	188	2	no	—
1100	C₂²	—	188	2	no	—
1101	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1102	C₄	—	2	1	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	2	no	—
1109	C₄	—	47	2	no	—
1110	C₄	—	94	1	no	—
1111	C₄	—	94	1	no	—
1112	C₄	—	94	1	no	—
1113	C₄	—	94	1	no	—
1114	C₄	—	94	1	no	—
1115	C₄	—	188	2	no	—
1116	C₄	—	188	2	no	—
1117	C₄	#15689925	1	2	yes	—
1118	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1119	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1120	C₂	—	4	1	no	—
1121	C₂	—	8	2	no	—
1122	C₂	—	94	2	no	—
1123	C₂	—	376	2	no	—
1124	C₂	—	376	2	no	—
1125	C₂	—	188	1	no	—
1126	C₂	#532×D₄₇	1	1	yes	characteristic
1127	C₂	C₂×#15689925	1	1	yes	characteristic
1128	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3168	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3168	D₄₇
hypocenter	C₄₇	#60695
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3168

Complements

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

N	H ≅ G/N	type
1. #20256809	C₂	semidirect
2. #20254070	C₂	semidirect
3. #20254066	C₂	semidirect
4. #20254039	C₂	semidirect
5. #20254031	C₂	semidirect
6. #20254028	C₂	semidirect
7. #20254024	C₂	semidirect
8. #20253984	C₂	semidirect
9. #20253979	C₂	semidirect
10. #20253967	C₂	semidirect
11. #20253964	C₂	semidirect
12. #20253961	C₂	semidirect
13. #20253925	C₂	semidirect
14. #20253870	C₂	semidirect
15. #20253741	C₂	semidirect
16. #20253061	C₂	semidirect
17. #20253059	C₂	semidirect
18. #20253031	C₂	semidirect
19. C₄×#13094051	C₂	semidirect
20. C₄×#13094047	C₂	semidirect
21. C₄×D₈×D₄₇	C₂	semidirect
22. C₄×#13094030	C₂	semidirect
23. C₄₇×#3168	C₂	semidirect
30. #15689746	C₂²	semidirect
31. #15689742	C₂²	semidirect
33. #15689729	C₂²	semidirect
34. #15689726	C₂²	semidirect
41. #15689673	C₂²	semidirect
43. #15689670	C₂²	semidirect
44. #15689660	C₂²	semidirect
51. #15689533	C₂²	semidirect
52. #15689530	C₂²	semidirect
53. #15689528	C₂²	semidirect
54. #15689527	C₂²	semidirect
55. #15689524	C₂²	semidirect
61. #15689489	C₂²	semidirect
62. #15689486	C₂²	semidirect
63. #15689484	C₂²	semidirect
64. #15689482	C₂²	semidirect
65. #15689479	C₂²	semidirect
66. #15689470	C₂²	semidirect
67. #15689468	C₂²	semidirect
68. #15689377	C₂²	semidirect
71. #15689374	C₂²	semidirect
72. #15689372	C₂²	semidirect
73. #15689371	C₂²	semidirect
74. #15689371	C₂²	semidirect
75. #15689366	C₂²	semidirect
76. #15689361	C₂²	semidirect
78. #15689360	C₂²	semidirect
80. #15689359	C₂²	semidirect
81. #15689359	C₂²	semidirect
82. #15689358	C₂²	semidirect
84. #15689355	C₂²	semidirect
85. #15689234	C₂²	semidirect
86. #15689232	C₂²	semidirect
87. #15689226	C₂²	semidirect
88. #15689224	C₂²	semidirect
89. Q₁₆×Dic₄₇	C₂²	semidirect
90. C₄×#10625336	C₂²	semidirect
91. C₄×#10625336	C₂²	semidirect
92. #15689208	C₂²	semidirect
94. C₄×D₃₇₆	C₂²	semidirect
95. C₄×D₃₇₆	C₂²	semidirect
98. #15689205	C₂²	semidirect
100. C₄×#10625334	C₂²	semidirect
109. #15689078	C₂²	semidirect
110. #15689078	C₂²	semidirect
113. #15689077	C₂²	semidirect
114. #15689077	C₂²	semidirect
115. C₄×#10625329	C₂²	semidirect
117. C₄×#10625324	C₂²	semidirect
119. C₄×C₈×D₄₇	C₂²	semidirect
120. C₄₇×#529	C₂²	semidirect
121. C₄₇×#499	C₂²	semidirect
123. C₄₇×#488	C₂²	semidirect
124. C₄₇×#467	C₂²	semidirect
126. C₄₇×#465	C₂²	semidirect
127. C₄×Q₁₆×C₄₇	C₂²	semidirect
128. C₄×SD₁₆×C₄₇	C₂²	semidirect
130. C₂×C₄×C₈×C₄₇	C₂²	semidirect
432. #10625324	#41	semidirect
436. C₈×D₄₇	#41	semidirect
568. #3168	D₄₇	semidirect
610. #529	C₂×D₄₇	semidirect
621. #499	C₂×D₄₇	semidirect
633. #488	C₂×D₄₇	semidirect
645. #467	C₂×D₄₇	semidirect
655. #465	C₂×D₄₇	semidirect
661. C₄×Q₁₆	C₂×D₄₇	semidirect
665. C₄×SD₁₆	C₂×D₄₇	semidirect
694. C₂×C₄×C₈	C₂×D₄₇	semidirect
695. C₄₇	#60695	semidirect

Maximal subgroups

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

subgroup	index
#20256809	2
#20254070	2
#20254066	2
#20254039	2
#20254031	2
#20254028	2
#20254024	2
#20253984	2
#20253979	2
#20253967	2
#20253964	2
#20253961	2
#20253925	2
#20253870	2
#20253741	2
#20253061	2
#20253059	2
#20253031	2
C₄×#13094051	2
C₄×#13094047	2
C₄×D₈×D₄₇	2
C₄×#13094030	2
C₄₇×#3168	2
#60695	47