Subgroups — #27092776

Order 12032.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1210 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256952	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
3	#20255340	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255329	C₂	1	1	yes	maximal, characteristic, complemented
5	#20255318	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255307	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255295	C₂	1	2	yes	maximal, complemented
8	#20255280	C₂	1	2	yes	maximal, complemented
9	#20255266	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255255	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255243	C₂	1	2	yes	maximal, complemented
12	#20255228	C₂	1	2	yes	maximal, complemented
13	#20255214	C₂	1	1	yes	maximal, characteristic, complemented
14	#20255203	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253711	C₂	1	1	yes	maximal, characteristic, complemented
16	#20253305	C₂	1	2	yes	maximal, complemented
17	#20253176	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252968	C₂	1	2	yes	maximal, complemented
19	#20252843	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252602	C₂	1	2	yes	maximal, complemented
21	C₂×C₈×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
22	#416×D₄₇	C₂	1	2	yes	maximal, complemented
23	C₄×#135×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₇	C₂²	1	2	yes	—
25	C₂×#13094044	C₂²	1	2	yes	complemented
26	C₂²×C₈×D₄₇	C₂²	1	2	yes	complemented
27	#15689846	C₂²	1	1	yes	characteristic, complemented
28	#15689838	C₂²	1	1	yes	characteristic, complemented
29	#15689833	C₂²	1	1	yes	characteristic
30	#15689823	C₂²	1	2	yes	complemented
31	#15689814	C₂²	1	2	yes	complemented
32	#15689813	—	2	1	no	—
33	#15689802	—	2	2	no	—
34	#15689795	C₂²	1	1	yes	characteristic
35	Q₈×D₁₈₈	C₂²	1	1	yes	characteristic
36	#15689785	C₂²	1	2	yes	—
37	#15689778	C₂²	1	1	yes	characteristic
38	#15689777	—	2	1	no	—
39	#15689777	C₂²	1	1	yes	characteristic
40	#15689769	—	2	1	no	—
41	#15689768	—	2	2	no	—
42	#15689768	C₂²	1	2	yes	—
43	D₄×D₁₈₈	—	2	1	no	—
44	D₄×D₁₈₈	C₂²	1	1	yes	characteristic
45	#15689680	C₂²	1	1	yes	characteristic, complemented
46	#15689673	—	2	1	no	—
47	#15689673	C₂²	1	1	yes	characteristic
48	#15689657	—	2	1	no	—
49	#15689651	—	2	2	no	—
50	#15689635	—	2	2	no	—
51	#15689635	C₂²	1	2	yes	—
52	#15689630	C₂²	1	2	yes	complemented
53	C₄×#10625350	—	2	1	no	—
54	C₂×C₄×D₁₈₈	—	2	1	no	—
55	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
56	#117×D₄₇	C₂²	1	2	yes	complemented
57	#15689478	C₂²	1	2	yes	complemented
58	#15689478	C₂²	1	2	yes	complemented
59	#15689474	C₂²	1	1	yes	characteristic, complemented
60	#15689474	C₂²	1	1	yes	characteristic, complemented
61	#15689470	C₂²	1	1	yes	characteristic, complemented
62	#15689470	C₂²	1	1	yes	characteristic, complemented
63	#15689467	C₂²	1	2	yes	complemented
64	#15689466	C₂²	1	2	yes	complemented
65	#15689460	C₂²	1	2	yes	complemented
66	#15689455	C₂²	1	2	yes	complemented
67	#15689450	C₂²	1	2	yes	complemented
68	#15689449	C₂²	1	2	yes	complemented
69	#15689443	C₂²	1	2	yes	complemented
70	#15689438	C₂²	1	2	yes	complemented
71	#15689430	C₂²	1	2	yes	complemented
72	#15689423	C₂²	1	2	yes	complemented
73	#15689418	C₂²	1	1	yes	characteristic, complemented
74	#15689413	C₂²	1	1	yes	characteristic, complemented
75	#15689408	C₂²	1	1	yes	characteristic, complemented
76	#15689403	C₂²	1	1	yes	characteristic, complemented
77	#15689363	C₂²	1	2	yes	complemented
78	#15689363	C₂²	1	2	yes	complemented
79	#15689358	C₂²	1	2	yes	complemented
80	#15689358	C₂²	1	2	yes	complemented
81	#15689355	C₂²	1	2	yes	complemented
82	#15689355	C₂²	1	2	yes	complemented
83	#15689351	C₂²	1	2	yes	complemented
84	#15689351	C₂²	1	2	yes	complemented
85	#15689345	C₂²	1	2	yes	complemented
86	#15689338	C₂²	1	2	yes	complemented
87	#15689333	C₂²	1	1	yes	characteristic, complemented
88	#15689328	C₂²	1	1	yes	characteristic, complemented
89	#15689323	C₂²	1	1	yes	characteristic, complemented
90	#15689318	C₂²	1	1	yes	characteristic, complemented
91	#15689284	C₂²	1	2	yes	complemented
92	#15689282	C₂²	1	2	yes	complemented
93	#15689277	C₂²	1	2	yes	complemented
94	#15689272	C₂²	1	2	yes	complemented
95	#15689267	C₂²	1	2	yes	complemented
96	#15689265	C₂²	1	2	yes	complemented
97	#15689260	C₂²	1	2	yes	complemented
98	#15689255	C₂²	1	2	yes	complemented
99	C₈×D₁₈₈	C₂²	1	1	yes	characteristic
100	C₈×D₁₈₈	C₂²	1	1	yes	characteristic
101	C₈×D₁₈₈	C₂²	1	2	yes	complemented
102	C₈×D₁₈₈	C₂²	1	2	yes	complemented
103	C₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
104	C₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
105	#15689159	C₂²	1	2	yes	complemented
106	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
107	#15689120	C₂²	1	2	yes	complemented
108	#15689120	C₂²	1	2	yes	complemented
109	#15689119	C₂²	1	2	yes	—
110	#15689118	C₂²	1	2	yes	complemented
111	#15689118	C₂²	1	2	yes	complemented
112	#15689117	C₂²	1	2	yes	complemented
113	#15689116	C₂²	1	2	yes	complemented
114	#15689116	C₂²	1	2	yes	complemented
115	#103×D₄₇	C₂²	1	2	yes	complemented
116	#103×D₄₇	C₂²	1	2	yes	complemented
117	#102×D₄₇	C₂²	1	2	yes	complemented
118	#102×D₄₇	C₂²	1	2	yes	complemented
119	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	complemented
120	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
122	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
125	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
129	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
130	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#427	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#416	C₂²	1	1	yes	characteristic
133	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625354	C₂³	1	2	yes	—
136	C₂×#10625350	—	2	1	no	—
137	C₂×#10625350	—	2	2	no	—
138	C₂×#10625350	C₂³	1	2	yes	—
139	C₂×#10625352	—	2	2	no	—
140	C₂×#10625352	C₂³	1	2	yes	—
141	#41×D₄₇	—	2	8	no	—
142	#41×D₄₇	—	4	4	no	—
143	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
144	C₂²×D₁₈₈	—	2	1	no	—
145	C₂²×D₁₈₈	D₄	1	1	yes	characteristic
146	C₂×D₄×D₄₇	—	2	2	no	—
147	C₂×D₄×D₄₇	C₂³	1	2	yes	—
148	C₂²×C₄×D₄₇	—	2	2	no	—
149	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
150	#13094044	—	4	4	no	—
151	C₂×#10625337	C₂³	1	2	yes	—
152	C₂×#10625335	C₂³	1	2	yes	—
153	C₂×#10625336	C₂³	1	2	yes	—
154	C₂×#10625334	C₂³	1	2	yes	—
155	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
156	C₂×C₈×D₄₇	—	4	4	no	—
157	C₂×C₈×D₄₇	C₂³	1	2	yes	—
158	C₂×C₈×D₄₇	C₂³	1	2	yes	—
159	C₂×C₈×D₄₇	C₂³	1	2	yes	—
160	C₂×C₈×D₄₇	C₂³	1	2	yes	—
161	#13094024	—	2	1	no	—
162	#13094024	C₂³	1	1	yes	characteristic
163	#13094024	C₂³	1	1	yes	characteristic
164	#13094024	C₂³	1	1	yes	characteristic
165	#13094021	—	2	1	no	—
166	#13094021	C₂³	1	1	yes	characteristic
167	#13094019	—	2	2	no	—
168	#13094018	—	2	2	no	—
169	#13094017	—	2	2	no	—
170	#13094016	—	2	1	no	—
171	#13094016	C₂³	1	2	yes	—
172	#13094014	—	2	2	no	—
173	#13094012	—	2	1	no	—
174	#13094012	—	2	2	no	—
175	#13094012	C₂³	1	2	yes	—
176	#13094010	—	2	2	no	—
177	#13094009	—	2	2	no	—
178	#13094008	—	2	2	no	—
179	#13094008	—	2	2	no	—
180	#13094008	—	2	2	no	—
181	#13094007	—	2	2	no	—
182	#13094006	—	2	2	no	—
183	#13094005	—	2	2	no	—
184	#13094004	—	2	2	no	—
185	#13094004	—	2	2	no	—
186	#13094004	C₂³	1	2	yes	—
187	#13094004	C₂³	1	2	yes	—
188	#13094003	—	2	1	no	—
189	#13094003	—	2	1	no	—
190	#13094003	—	2	1	no	—
191	#13094002	—	2	2	no	—
192	#13094000	C₂³	1	2	yes	—
193	#13094000	C₂³	1	2	yes	—
194	#13093999	—	2	2	no	—
195	#13093999	—	2	2	no	—
196	#13093999	C₂³	1	2	yes	—
197	#13093999	C₂³	1	2	yes	—
198	#13093998	—	2	1	no	—
199	#13093998	—	2	1	no	—
200	#13093998	—	2	1	no	—
201	#13093998	—	2	1	no	—
202	#13093998	—	2	2	no	—
203	#13093998	—	2	1	no	—
204	#13093997	—	2	2	no	—
205	#13093995	C₂³	1	2	yes	—
206	#13093995	C₂³	1	2	yes	—
207	#13093994	—	2	2	no	—
208	#13093994	—	2	2	no	—
209	#13093994	—	2	2	no	—
210	#13093992	—	2	2	no	—
211	C₄×Dic₉₄	—	2	1	no	—
212	C₄×Dic₉₄	—	2	1	no	—
213	C₄×Dic₉₄	—	2	1	no	—
214	C₄×D₁₈₈	—	2	1	no	—
215	C₄×D₁₈₈	—	2	1	no	—
216	C₄×D₁₈₈	—	2	2	no	—
217	C₄×D₁₈₈	—	2	2	no	—
218	C₄×D₁₈₈	—	2	1	no	—
219	C₄×D₁₈₈	—	2	1	no	—
220	C₄×D₁₈₈	—	2	2	no	—
221	C₄×D₁₈₈	—	2	1	no	—
222	C₄×D₁₈₈	D₄	1	1	yes	characteristic
223	C₄×D₁₈₈	D₄	1	2	yes	—
224	C₄×D₁₈₈	D₄	1	1	yes	characteristic
225	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
226	C₄×D₁₈₈	C₂³	1	2	yes	—
227	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
228	C₄×C₂²⋊D₄₇	—	2	2	no	—
229	C₄×C₂²⋊D₄₇	—	2	2	no	—
230	C₄×C₂²⋊D₄₇	—	2	2	no	—
231	#13093983	—	2	1	no	—
232	#13093983	C₂³	1	2	yes	—
233	#13093982	C₂³	1	2	yes	—
234	#13093982	C₂³	1	2	yes	—
235	#13093981	—	2	2	no	—
236	#13093981	—	2	2	no	—
237	#13093980	—	2	2	no	—
238	C₂×C₄⋊Dic₄₇	—	2	1	no	—
239	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
240	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
241	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
242	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
243	C₂×(C₂×D₄₇)⋊C₄	D₄	1	2	yes	—
244	C₂²⋊C₄×D₄₇	—	2	2	no	—
245	C₄²×D₄₇	—	2	2	no	—
246	#13093957	C₂³	1	2	yes	—
247	#13093957	C₂³	1	2	yes	—
248	#13093955	C₂³	1	2	yes	—
249	#13093955	C₂³	1	2	yes	—
250	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
251	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
252	C₄⋊(C₄₇⋊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	#13093948	C₂³	1	2	yes	—
259	#13093947	C₂³	1	2	yes	—
260	#13093947	C₂³	1	2	yes	—
261	#13093946	C₂³	1	2	yes	—
262	#13093946	C₂³	1	2	yes	—
263	#13093946	C₂³	1	2	yes	—
264	#13093946	C₂³	1	2	yes	—
265	#13093945	C₂³	1	2	yes	—
266	#13093945	C₂³	1	2	yes	—
267	#13093944	C₂³	1	2	yes	—
268	#13093944	C₂³	1	2	yes	—
269	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
273	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
274	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
275	#135×C₄₇	—	2	4	no	—
276	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
277	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
279	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
280	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
281	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
282	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
283	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₄₇	—	2	1	no	—
287	C₄×D₄×C₄₇	—	2	1	no	—
288	C₄×D₄×C₄₇	—	2	1	no	—
289	C₄×D₄×C₄₇	—	2	1	no	—
290	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
294	#117×C₄₇	—	2	1	no	—
295	#117×C₄₇	—	2	1	no	—
296	#117×C₄₇	C₂³	1	1	yes	characteristic
297	#117×C₄₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₄₇	—	2	1	no	—
299	C₂×C₄²×C₄₇	—	2	1	no	—
300	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
301	#107×C₄₇	C₂³	1	1	yes	characteristic
302	#107×C₄₇	C₂³	1	1	yes	characteristic
303	#106×C₄₇	C₂³	1	1	yes	characteristic
304	#106×C₄₇	C₂³	1	1	yes	characteristic
305	#103×C₄₇	C₂³	1	1	yes	characteristic
306	#103×C₄₇	C₂³	1	1	yes	characteristic
307	#103×C₄₇	C₂³	1	1	yes	characteristic
308	#103×C₄₇	C₂³	1	1	yes	characteristic
309	#102×C₄₇	C₂³	1	1	yes	characteristic
310	#102×C₄₇	C₂³	1	1	yes	characteristic
311	#102×C₄₇	C₂³	1	1	yes	characteristic
312	#102×C₄₇	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₂³×D₄₇	—	2	2	no	—
318	C₂³×D₄₇	C₂×D₄	1	2	yes	—
319	#41×C₄₇	—	2	2	no	—
320	#41×C₄₇	—	2	2	no	—
321	#41×C₄₇	—	2	2	no	—
322	#41×C₄₇	#41	1	4	yes	complemented
323	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
324	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
325	C₂×D₄×C₄₇	—	2	1	no	—
326	C₂×D₄×C₄₇	—	2	1	no	—
327	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₄₇	—	2	1	no	—
330	C₂²×C₄×C₄₇	—	2	1	no	—
331	C₂²×C₄×C₄₇	—	2	1	no	—
332	C₂²×C₄×C₄₇	—	2	1	no	—
333	C₂²×C₄×C₄₇	—	2	1	no	—
334	C₂²×C₄×C₄₇	—	2	1	no	—
335	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
337	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
338	C₂×C₂²⋊D₄₇	—	2	2	no	—
339	C₂×C₂²⋊D₄₇	—	2	2	no	—
340	C₂×C₂²⋊D₄₇	—	2	2	no	—
341	C₂×C₂²⋊D₄₇	—	2	2	no	—
342	C₂×C₂²⋊D₄₇	—	2	2	no	—
343	C₂²×Dic₄₇	—	2	2	no	—
344	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
345	#10625354	—	2	4	no	—
346	#10625354	—	4	2	no	—
347	Q₈×D₄₇	—	2	4	no	—
348	Q₈×D₄₇	—	4	2	no	—
349	#10625352	—	2	4	no	—
350	#10625352	—	4	2	no	—
351	#10625352	—	4	8	no	—
352	D₄×D₄₇	—	2	4	no	—
353	D₄×D₄₇	—	4	2	no	—
354	D₄×D₄₇	—	4	8	no	—
355	#10625350	—	2	4	no	—
356	#10625350	—	2	4	no	—
357	#10625350	—	4	8	no	—
358	#10625350	—	4	4	no	—
359	C₂×D₁₈₈	—	2	4	no	—
360	C₂×D₁₈₈	—	2	2	no	—
361	C₂×D₁₈₈	—	2	2	no	—
362	C₂×D₁₈₈	—	2	1	no	—
363	C₂×D₁₈₈	—	2	2	no	—
364	C₂×D₁₈₈	—	2	1	no	—
365	C₂×D₁₈₈	—	4	4	no	—
366	C₂×D₁₈₈	C₂×D₄	1	2	yes	—
367	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
368	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
369	C₂×D₁₈₈	C₂⁴	1	2	yes	—
370	C₂×C₄×D₄₇	—	2	4	no	—
371	C₂×C₄×D₄₇	—	2	4	no	—
372	C₂×C₄×D₄₇	—	2	2	no	—
373	C₂×C₄×D₄₇	—	2	2	no	—
374	C₂×C₄×D₄₇	—	2	2	no	—
375	C₂×C₄×D₄₇	—	2	2	no	—
376	C₂×C₄×D₄₇	—	2	2	no	—
377	C₂×C₄×D₄₇	—	4	8	no	—
378	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
379	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
380	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
381	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
382	C₂×Dic₉₄	—	2	1	no	—
383	C₂×Dic₉₄	—	2	2	no	—
384	C₂×Dic₉₄	—	2	1	no	—
385	C₂×Dic₉₄	C₂⁴	1	2	yes	—
386	Q₁₆×C₄₇	—	2	2	no	—
387	SD₁₆×C₄₇	—	2	2	no	—
388	SD₁₆×C₄₇	—	2	2	no	—
389	D₈×C₄₇	—	2	2	no	—
390	C₂×C₈×C₄₇	—	2	2	no	—
391	C₂×C₈×C₄₇	—	2	2	no	—
392	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₄₇	—	2	1	no	—
397	C₄⋊C₄×C₄₇	—	2	1	no	—
398	C₄⋊C₄×C₄₇	—	2	1	no	—
399	C₄⋊C₄×C₄₇	—	2	1	no	—
400	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²⋊C₄×C₄₇	—	2	1	no	—
405	C₂²⋊C₄×C₄₇	—	2	1	no	—
406	C₂²⋊C₄×C₄₇	—	2	1	no	—
407	C₂²⋊C₄×C₄₇	—	2	1	no	—
408	C₂²⋊C₄×C₄₇	—	2	1	no	—
409	C₂²⋊C₄×C₄₇	—	2	1	no	—
410	C₄²×C₄₇	—	2	1	no	—
411	C₄²×C₄₇	—	2	1	no	—
412	C₄²×C₄₇	—	2	1	no	—
413	C₄²×C₄₇	—	2	1	no	—
414	C₄²×C₄₇	—	2	1	no	—
415	C₄²×C₄₇	—	2	1	no	—
416	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
417	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
418	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
419	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²⋊Dic₄₇	—	2	2	no	—
421	C₂²⋊Dic₄₇	—	2	2	no	—
422	C₂²⋊Dic₄₇	—	2	2	no	—
423	#10625337	—	4	2	no	—
424	#10625336	—	4	2	no	—
425	#10625335	—	4	2	no	—
426	#10625334	—	4	2	no	—
427	(C₂×D₄₇)⋊C₄	—	2	2	no	—
428	(C₂×D₄₇)⋊C₄	—	2	2	no	—
429	(C₂×D₄₇)⋊C₄	—	2	2	no	—
430	(C₂×D₄₇)⋊C₄	—	2	2	no	—
431	(C₂×D₄₇)⋊C₄	—	2	2	no	—
432	(C₂×D₄₇)⋊C₄	—	2	2	no	—
433	(C₂×D₄₇)⋊C₄	—	2	2	no	—
434	(C₂×D₄₇)⋊C₄	—	2	2	no	—
435	(C₂×D₄₇)⋊C₄	—	2	2	no	—
436	(C₂×D₄₇)⋊C₄	—	2	2	no	—
437	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
438	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
439	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
440	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
441	C₄⋊Dic₄₇	—	2	1	no	—
442	C₄⋊Dic₄₇	—	2	1	no	—
443	C₄⋊Dic₄₇	—	2	1	no	—
444	C₄⋊Dic₄₇	—	2	1	no	—
445	C₄⋊Dic₄₇	—	2	2	no	—
446	C₄⋊Dic₄₇	—	2	2	no	—
447	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
448	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
449	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
450	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
451	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
452	Dic₄₇⋊C₄	—	2	2	no	—
453	Dic₄₇⋊C₄	—	2	2	no	—
454	Dic₄₇⋊C₄	—	2	2	no	—
455	Dic₄₇⋊C₄	—	2	2	no	—
456	Dic₄₇⋊C₄	—	2	2	no	—
457	Dic₄₇⋊C₄	—	2	2	no	—
458	C₄×Dic₄₇	—	2	2	no	—
459	C₄×Dic₄₇	—	2	2	no	—
460	C₄×Dic₄₇	—	2	2	no	—
461	C₂×C₄₇⋊C₈	—	2	4	no	—
462	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
463	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
464	C₈×D₄₇	—	4	2	no	—
465	C₈×D₄₇	—	4	2	no	—
466	C₈×D₄₇	—	4	2	no	—
467	C₈×D₄₇	—	4	2	no	—
468	C₂³×C₄₇	—	2	1	no	—
469	C₂³×C₄₇	—	2	1	no	—
470	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
471	C₂²×D₄₇	—	2	4	no	—
472	C₂²×D₄₇	—	2	4	no	—
473	C₂²×D₄₇	—	2	2	no	—
474	C₂²×D₄₇	—	4	2	no	—
475	C₂²×D₄₇	—	4	4	no	—
476	C₂²×D₄₇	—	4	4	no	—
477	C₂²×D₄₇	—	8	2	no	—
478	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
479	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
480	Q₈×C₄₇	—	2	1	no	—
481	Q₈×C₄₇	—	2	1	no	—
482	Q₈×C₄₇	—	2	1	no	—
483	Q₈×C₄₇	C₂×#41	1	2	yes	—
484	D₄×C₄₇	—	2	4	no	—
485	D₄×C₄₇	—	2	1	no	—
486	D₄×C₄₇	—	2	1	no	—
487	D₄×C₄₇	—	2	1	no	—
488	D₄×C₄₇	—	4	2	no	—
489	D₄×C₄₇	C₂×#41	1	2	yes	—
490	C₂×C₄×C₄₇	—	2	1	no	—
491	C₂×C₄×C₄₇	—	2	4	no	—
492	C₂×C₄×C₄₇	—	2	2	no	—
493	C₂×C₄×C₄₇	—	2	1	no	—
494	C₂×C₄×C₄₇	—	2	1	no	—
495	C₂×C₄×C₄₇	—	2	1	no	—
496	C₂×C₄×C₄₇	—	2	1	no	—
497	C₂×C₄×C₄₇	—	2	1	no	—
498	C₂×C₄×C₄₇	—	4	1	no	—
499	C₂×C₄×C₄₇	—	4	2	no	—
500	C₂×C₄×C₄₇	—	4	2	no	—
501	C₂×C₄×C₄₇	—	4	2	no	—
502	C₂×C₄×C₄₇	—	8	1	no	—
503	C₂×C₄×C₄₇	—	8	1	no	—
504	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
510	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
511	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
512	C₂²⋊D₄₇	—	4	4	no	—
513	C₂²⋊D₄₇	—	4	4	no	—
514	C₂²⋊D₄₇	—	4	4	no	—
515	C₂²⋊D₄₇	—	4	4	no	—
516	C₂²⋊D₄₇	—	8	2	no	—
517	C₂×Dic₄₇	—	2	4	no	—
518	C₂×Dic₄₇	—	2	2	no	—
519	C₂×Dic₄₇	—	2	2	no	—
520	C₂×Dic₄₇	—	2	2	no	—
521	C₂×Dic₄₇	—	4	4	no	—
522	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
523	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
524	D₁₈₈	—	2	4	no	—
525	D₁₈₈	—	2	2	no	—
526	D₁₈₈	—	2	2	no	—
527	D₁₈₈	—	2	2	no	—
528	D₁₈₈	—	4	4	no	—
529	D₁₈₈	—	4	4	no	—
530	D₁₈₈	—	4	2	no	—
531	D₁₈₈	—	8	1	no	—
532	D₁₈₈	—	8	2	no	—
533	D₁₈₈	#135	1	4	yes	complemented
534	C₄×D₄₇	—	2	4	no	—
535	C₄×D₄₇	—	2	4	no	—
536	C₄×D₄₇	—	2	2	no	—
537	C₄×D₄₇	—	2	2	no	—
538	C₄×D₄₇	—	2	2	no	—
539	C₄×D₄₇	—	2	2	no	—
540	C₄×D₄₇	—	4	4	no	—
541	C₄×D₄₇	—	4	4	no	—
542	C₄×D₄₇	—	4	4	no	—
543	C₄×D₄₇	—	4	4	no	—
544	C₄×D₄₇	—	8	2	no	—
545	Dic₉₄	—	2	2	no	—
546	Dic₉₄	—	2	2	no	—
547	Dic₉₄	—	4	4	no	—
548	Dic₉₄	—	4	2	no	—
549	Dic₉₄	—	8	1	no	—
550	C₈×C₄₇	—	2	1	no	—
551	C₈×C₄₇	—	2	1	no	—
552	C₈×C₄₇	—	2	1	no	—
553	C₈×C₄₇	—	2	1	no	—
554	C₄₇⋊C₈	—	2	2	no	—
555	C₄₇⋊C₈	—	2	2	no	—
556	#61124	—	47	1	no	maximal, Sylow
557	C₂²×C₄₇	—	2	1	no	—
558	C₂²×C₄₇	—	2	1	no	—
559	C₂²×C₄₇	—	2	2	no	—
560	C₂²×C₄₇	—	4	1	no	—
561	C₂²×C₄₇	—	4	1	no	—
562	C₂²×C₄₇	—	4	1	no	—
563	C₂²×C₄₇	—	4	1	no	—
564	C₂²×C₄₇	—	4	1	no	—
565	C₂²×C₄₇	#546	1	2	yes	—
566	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
567	C₂×D₄₇	—	2	2	no	—
568	C₂×D₄₇	—	2	2	no	—
569	C₂×D₄₇	—	2	2	no	—
570	C₂×D₄₇	—	2	2	no	—
571	C₂×D₄₇	—	2	2	no	—
572	C₂×D₄₇	—	4	8	no	—
573	C₂×D₄₇	—	4	2	no	—
574	C₂×D₄₇	—	4	2	no	—
575	C₂×D₄₇	—	4	2	no	—
576	C₂×D₄₇	—	8	8	no	—
577	C₂×D₄₇	C₂×#135	1	4	yes	—
578	C₄×C₄₇	—	2	1	no	—
579	C₄×C₄₇	—	2	1	no	—
580	C₄×C₄₇	—	2	2	no	—
581	C₄×C₄₇	—	2	1	no	—
582	C₄×C₄₇	—	4	1	no	—
583	C₄×C₄₇	—	4	1	no	—
584	C₄×C₄₇	—	4	1	no	—
585	C₄×C₄₇	—	4	1	no	—
586	C₄×C₄₇	—	4	1	no	—
587	C₄×C₄₇	#546	1	2	yes	—
588	C₄×C₄₇	C₂×#135	1	2	yes	—
589	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
590	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
591	Dic₄₇	—	2	2	no	—
592	Dic₄₇	—	2	2	no	—
593	Dic₄₇	—	4	2	no	—
594	Dic₄₇	—	4	2	no	—
595	Dic₄₇	—	4	2	no	—
596	#3475	—	47	1	no	—
597	D₄×#41	—	47	1	no	—
598	#3305	—	47	1	no	—
599	#3304	—	47	1	no	—
600	#3303	—	47	1	no	—
601	#3302	—	47	1	no	—
602	#3301	—	47	2	no	—
603	#3300	—	47	2	no	—
604	#3299	—	47	1	no	—
605	#3298	—	47	1	no	—
606	#3297	—	47	2	no	—
607	#3296	—	47	2	no	—
608	#3295	—	47	1	no	—
609	#3294	—	47	1	no	—
610	#3131	—	47	1	no	—
611	#3091	—	47	2	no	—
612	#3076	—	47	1	no	—
613	#3050	—	47	2	no	—
614	#3035	—	47	1	no	—
615	#3002	—	47	2	no	—
616	C₄×#135	D₄₇	1	1	yes	characteristic, complemented
617	C₂×C₈×D₄	—	47	1	no	—
618	C₂×#416	—	47	2	no	—
619	C₂×C₄₇	—	2	2	no	—
620	C₂×C₄₇	—	4	2	no	—
621	C₂×C₄₇	—	8	1	no	—
622	C₂×C₄₇	C₂×#546	1	1	yes	characteristic
623	C₂×C₄₇	C₂²×#135	1	1	yes	characteristic
624	C₂×C₄₇	#3584	1	1	yes	characteristic
625	D₄₇	—	2	4	no	—
626	D₄₇	—	4	2	no	—
627	D₄₇	—	8	2	no	—
628	C₂²×#41	—	47	2	no	—
629	C₂×#135	—	47	2	no	—
630	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
631	C₂³×C₈	—	47	2	no	—
632	#556	—	47	1	no	—
633	#555	—	47	1	no	—
634	#554	—	47	1	no	—
635	#553	—	47	2	no	—
636	#552	—	47	2	no	—
637	#552	—	94	1	no	—
638	#551	—	94	2	no	—
639	#550	—	47	1	no	—
640	D₄×Q₈	—	47	1	no	—
641	#548	—	47	2	no	—
642	#547	—	47	1	no	—
643	#547	—	47	1	no	—
644	#547	—	94	1	no	—
645	#546	—	47	2	no	—
646	#546	—	94	2	no	—
647	#546	—	94	1	no	—
648	D₄²	—	47	1	no	—
649	D₄²	—	94	1	no	—
650	#533	—	47	1	no	—
651	#532	—	47	1	no	—
652	#532	—	94	1	no	—
653	#529	—	94	1	no	—
654	#529	—	94	2	no	—
655	#525	—	47	2	no	—
656	#525	—	47	2	no	—
657	#525	—	94	2	no	—
658	C₄×#41	—	94	1	no	—
659	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
660	C₄×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
661	C₂×C₄×D₄	—	47	1	no	—
662	C₂×C₄×D₄	—	94	1	no	—
663	C₂×#117	—	47	2	no	—
664	#488	—	47	2	no	—
665	#488	—	47	2	no	—
666	#487	—	47	1	no	—
667	#487	—	47	1	no	—
668	#486	—	47	1	no	—
669	#486	—	47	1	no	—
670	#485	—	47	2	no	—
671	#485	—	47	2	no	—
672	#484	—	47	2	no	—
673	#483	—	47	2	no	—
674	#482	—	47	2	no	—
675	#482	—	47	2	no	—
676	#481	—	47	2	no	—
677	#480	—	47	2	no	—
678	#479	—	47	2	no	—
679	#478	—	47	2	no	—
680	#477	—	47	1	no	—
681	#476	—	47	1	no	—
682	#475	—	47	1	no	—
683	#474	—	47	1	no	—
684	#467	—	47	2	no	—
685	#467	—	47	2	no	—
686	#466	—	47	2	no	—
687	#466	—	47	2	no	—
688	#465	—	47	2	no	—
689	#465	—	47	2	no	—
690	#465	—	47	2	no	—
691	#465	—	47	2	no	—
692	#464	—	47	2	no	—
693	#463	—	47	2	no	—
694	#462	—	47	1	no	—
695	#461	—	47	1	no	—
696	#460	—	47	1	no	—
697	#459	—	47	1	no	—
698	#452	—	47	2	no	—
699	#452	—	47	2	no	—
700	#451	—	47	2	no	—
701	#450	—	47	2	no	—
702	#449	—	47	2	no	—
703	#449	—	47	2	no	—
704	#448	—	47	2	no	—
705	#447	—	47	2	no	—
706	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
707	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
708	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
709	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
710	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
711	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
712	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
713	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
714	C₈×D₄	—	47	1	no	—
715	C₈×D₄	—	47	1	no	—
716	C₈×D₄	—	47	2	no	—
717	C₈×D₄	—	47	2	no	—
718	C₈×D₄	—	47	1	no	—
719	C₈×D₄	—	47	1	no	—
720	#427	—	47	2	no	—
721	#427	C₂×D₄₇	1	1	yes	characteristic, complemented
722	C₂×C₄⋊C₈	—	47	1	no	—
723	#416	—	47	2	no	—
724	#416	—	47	2	no	—
725	#416	—	47	2	no	—
726	#416	—	47	2	no	—
727	#416	—	47	2	no	—
728	#416	—	47	2	no	—
729	#416	—	47	2	no	—
730	#416	—	47	2	no	—
731	#416	C₂×D₄₇	1	1	yes	characteristic
732	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
733	C₂×#103	—	47	2	no	—
734	C₂×#103	—	47	2	no	—
735	C₂×#102	—	47	2	no	—
736	C₂×#102	—	47	2	no	—
737	C₂×C₂²⋊C₈	—	47	2	no	—
738	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
739	C₄₇	#61124	1	1	yes	characteristic, complemented, Sylow
740	C₂×#41	—	47	2	no	—
741	C₂×#41	—	47	2	no	—
742	C₂×#41	—	47	2	no	—
743	C₂×#41	—	94	2	no	—
744	C₂×#41	—	94	1	no	—
745	C₂×#41	—	94	2	no	—
746	C₂×#41	—	94	8	no	—
747	C₂×#41	—	188	4	no	—
748	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
749	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
750	C₂²×Q₈	—	47	2	no	—
751	C₂²×D₄	—	47	2	no	—
752	C₂²×D₄	—	47	1	no	—
753	C₂²×D₄	—	94	1	no	—
754	C₂²×D₄	—	94	2	no	—
755	C₂³×C₄	—	47	2	no	—
756	C₂³×C₄	—	94	2	no	—
757	#135	—	2	4	no	—
758	#135	—	188	4	no	—
759	C₂×Q₁₆	—	47	2	no	—
760	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
761	C₂×SD₁₆	—	47	2	no	—
762	C₂×SD₁₆	—	47	2	no	—
763	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
764	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
765	C₂×D₈	—	47	2	no	—
766	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
767	C₂²×C₈	—	47	2	no	—
768	C₂²×C₈	—	47	2	no	—
769	C₂²×C₈	—	47	2	no	—
770	C₂²×C₈	—	47	2	no	—
771	C₂²×C₈	—	47	2	no	—
772	C₂²×C₈	—	188	4	no	—
773	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
774	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
775	C₄⋊Q₈	—	47	1	no	—
776	C₄⋊Q₈	—	47	1	no	—
777	C₄⋊Q₈	—	47	1	no	—
778	C₄⋊Q₈	—	94	1	no	—
779	#127	—	47	1	no	—
780	#127	—	94	1	no	—
781	#126	—	94	2	no	—
782	#126	—	94	2	no	—
783	#126	—	94	2	no	—
784	#125	—	47	2	no	—
785	#125	—	94	1	no	—
786	#125	—	94	2	no	—
787	#124	—	47	2	no	—
788	#124	—	94	2	no	—
789	#124	—	94	1	no	—
790	#124	—	94	2	no	—
791	#123	—	94	2	no	—
792	#123	—	94	2	no	—
793	#123	—	94	2	no	—
794	#123	—	94	2	no	—
795	#123	—	94	2	no	—
796	#123	—	94	2	no	—
797	#123	—	94	2	no	—
798	C₂²⋊Q₈	—	47	2	no	—
799	C₂²⋊Q₈	—	47	2	no	—
800	C₂²⋊Q₈	—	47	2	no	—
801	C₂²⋊Q₈	—	47	2	no	—
802	C₂²⋊Q₈	—	94	2	no	—
803	C₂²⋊Q₈	—	94	2	no	—
804	C₂²⋊Q₈	—	94	2	no	—
805	C₂²⋊Q₈	—	94	1	no	—
806	C₂²⋊Q₈	—	94	1	no	—
807	C₂²⋊Q₈	—	94	1	no	—
808	#121	—	47	2	no	—
809	#121	—	47	2	no	—
810	#121	—	47	2	no	—
811	#121	—	47	2	no	—
812	#121	—	94	2	no	—
813	#121	—	94	2	no	—
814	#121	—	94	2	no	—
815	#121	—	94	2	no	—
816	#121	—	94	1	no	—
817	#121	—	94	1	no	—
818	#121	—	94	1	no	—
819	#121	—	94	1	no	—
820	#121	—	94	1	no	—
821	#120	—	94	2	no	—
822	#120	—	94	2	no	—
823	#120	—	94	2	no	—
824	#120	—	94	2	no	—
825	C₄×Q₈	—	94	1	no	—
826	C₄×Q₈	—	94	1	no	—
827	C₄×Q₈	—	94	1	no	—
828	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
829	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
830	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
831	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	47	1	no	—
837	C₄×D₄	—	47	2	no	—
838	C₄×D₄	—	47	1	no	—
839	C₄×D₄	—	47	1	no	—
840	C₄×D₄	—	47	2	no	—
841	C₄×D₄	—	47	1	no	—
842	C₄×D₄	—	94	2	no	—
843	C₄×D₄	—	94	1	no	—
844	C₄×D₄	—	94	2	no	—
845	C₄×D₄	—	94	2	no	—
846	C₄×D₄	—	94	1	no	—
847	C₄×D₄	—	94	1	no	—
848	C₄×D₄	—	94	2	no	—
849	C₄×D₄	—	94	2	no	—
850	C₄×D₄	—	94	2	no	—
851	C₄×D₄	—	94	1	no	—
852	C₄×D₄	—	94	1	no	—
853	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
854	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
855	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
856	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
857	#117	—	2	1	no	—
858	#117	—	2	1	no	—
859	#117	—	47	2	no	—
860	#117	—	47	2	no	—
861	#117	—	47	2	no	—
862	#117	—	94	2	no	—
863	#117	—	94	2	no	—
864	#117	—	94	2	no	—
865	#117	—	94	1	no	—
866	#117	C₂²×D₄₇	1	1	yes	characteristic
867	#117	C₂²×D₄₇	1	1	yes	characteristic
868	C₂×C₄⋊C₄	—	47	1	no	—
869	C₂×C₄⋊C₄	—	47	2	no	—
870	C₂×C₄⋊C₄	—	47	2	no	—
871	C₂×C₄⋊C₄	—	94	1	no	—
872	C₂×C₂²⋊C₄	—	47	2	no	—
873	C₂×C₂²⋊C₄	—	94	2	no	—
874	C₂×C₂²⋊C₄	—	94	2	no	—
875	C₂×C₄²	—	2	1	no	—
876	C₂×C₄²	—	2	1	no	—
877	C₂×C₄²	—	94	2	no	—
878	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
879	#107	—	47	2	no	—
880	#107	—	47	2	no	—
881	#107	C₂²×D₄₇	1	1	yes	characteristic
882	#107	C₂²×D₄₇	1	1	yes	characteristic
883	#106	—	47	2	no	—
884	#106	—	47	2	no	—
885	#106	C₂²×D₄₇	1	1	yes	characteristic
886	#106	C₂²×D₄₇	1	1	yes	characteristic
887	C₄⋊C₈	—	47	1	no	—
888	C₄⋊C₈	—	47	1	no	—
889	C₄⋊C₈	—	47	2	no	—
890	#103	—	47	2	no	—
891	#103	—	47	2	no	—
892	#103	—	47	2	no	—
893	#103	—	47	2	no	—
894	#103	—	47	2	no	—
895	#103	—	47	2	no	—
896	#103	—	47	2	no	—
897	#103	—	47	2	no	—
898	#103	C₂²×D₄₇	1	1	yes	characteristic
899	#103	C₂²×D₄₇	1	1	yes	characteristic
900	#103	C₂²×D₄₇	1	1	yes	characteristic
901	#103	C₂²×D₄₇	1	1	yes	characteristic
902	#102	—	47	2	no	—
903	#102	—	47	2	no	—
904	#102	—	47	2	no	—
905	#102	—	47	2	no	—
906	#102	—	47	2	no	—
907	#102	—	47	2	no	—
908	#102	—	47	2	no	—
909	#102	—	47	2	no	—
910	#102	C₂²×D₄₇	1	1	yes	characteristic
911	#102	C₂²×D₄₇	1	1	yes	characteristic
912	#102	C₂²×D₄₇	1	1	yes	characteristic
913	#102	C₂²×D₄₇	1	1	yes	characteristic
914	C₂²⋊C₈	—	47	2	no	—
915	C₂²⋊C₈	—	47	2	no	—
916	C₂²⋊C₈	—	47	2	no	—
917	C₂²⋊C₈	—	47	2	no	—
918	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
919	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
920	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
921	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
922	C₂⁴	—	47	2	no	—
923	C₂⁴	—	94	2	no	—
924	#41	—	2	2	no	—
925	#41	—	2	2	no	—
926	#41	—	2	2	no	—
927	#41	—	94	4	no	—
928	#41	—	94	4	no	—
929	#41	—	94	4	no	—
930	#41	—	94	4	no	—
931	#41	—	188	8	no	—
932	#41	—	188	4	no	—
933	#41	—	188	2	no	—
934	#41	—	188	8	no	—
935	#41	—	188	2	no	—
936	#41	#10625350	1	4	yes	complemented
937	C₂×Q₈	—	47	2	no	—
938	C₂×Q₈	—	94	2	no	—
939	C₂×Q₈	—	94	1	no	—
940	C₂×Q₈	—	94	1	no	—
941	C₂×Q₈	—	94	4	no	—
942	C₂×Q₈	—	188	2	no	—
943	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
944	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
945	C₂×D₄	—	2	1	no	—
946	C₂×D₄	—	2	1	no	—
947	C₂×D₄	—	47	1	no	—
948	C₂×D₄	—	47	2	no	—
949	C₂×D₄	—	47	1	no	—
950	C₂×D₄	—	47	2	no	—
951	C₂×D₄	—	94	4	no	—
952	C₂×D₄	—	94	2	no	—
953	C₂×D₄	—	94	2	no	—
954	C₂×D₄	—	94	2	no	—
955	C₂×D₄	—	94	2	no	—
956	C₂×D₄	—	94	4	no	—
957	C₂×D₄	—	94	2	no	—
958	C₂×D₄	—	94	2	no	—
959	C₂×D₄	—	94	2	no	—
960	C₂×D₄	—	94	2	no	—
961	C₂×D₄	—	94	1	no	—
962	C₂×D₄	—	94	1	no	—
963	C₂×D₄	—	188	4	no	—
964	C₂×D₄	—	188	2	no	—
965	C₂×D₄	—	188	8	no	—
966	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
967	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
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	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	47	2	no	—
975	C₂²×C₄	—	47	2	no	—
976	C₂²×C₄	—	47	2	no	—
977	C₂²×C₄	—	47	2	no	—
978	C₂²×C₄	—	47	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	4	no	—
985	C₂²×C₄	—	94	4	no	—
986	C₂²×C₄	—	94	2	no	—
987	C₂²×C₄	—	188	8	no	—
988	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
989	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
991	Q₁₆	—	2	2	no	—
992	Q₁₆	—	188	2	no	—
993	SD₁₆	—	2	2	no	—
994	SD₁₆	—	2	2	no	—
995	SD₁₆	—	188	2	no	—
996	SD₁₆	—	188	2	no	—
997	D₈	—	2	2	no	—
998	D₈	—	188	2	no	—
999	C₂×C₈	—	2	2	no	—
1000	C₂×C₈	—	2	2	no	—
1001	C₂×C₈	—	47	2	no	—
1002	C₂×C₈	—	47	2	no	—
1003	C₂×C₈	—	94	4	no	—
1004	C₂×C₈	—	188	2	no	—
1005	C₂×C₈	—	188	2	no	—
1006	C₂×C₈	—	188	2	no	—
1007	C₂×C₈	—	188	2	no	—
1008	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1009	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1010	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1011	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	47	1	no	—
1017	C₄⋊C₄	—	47	1	no	—
1018	C₄⋊C₄	—	47	2	no	—
1019	C₄⋊C₄	—	47	2	no	—
1020	C₄⋊C₄	—	47	2	no	—
1021	C₄⋊C₄	—	94	2	no	—
1022	C₄⋊C₄	—	94	2	no	—
1023	C₄⋊C₄	—	94	2	no	—
1024	C₄⋊C₄	—	94	2	no	—
1025	C₄⋊C₄	—	94	2	no	—
1026	C₄⋊C₄	—	94	2	no	—
1027	C₄⋊C₄	—	94	2	no	—
1028	C₄⋊C₄	—	94	2	no	—
1029	C₄⋊C₄	—	94	1	no	—
1030	C₄⋊C₄	—	94	1	no	—
1031	C₄⋊C₄	—	94	1	no	—
1032	C₄⋊C₄	—	94	1	no	—
1033	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1034	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1035	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1036	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	1	no	—
1040	C₂²⋊C₄	—	2	1	no	—
1041	C₂²⋊C₄	—	2	1	no	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	47	2	no	—
1044	C₂²⋊C₄	—	47	2	no	—
1045	C₂²⋊C₄	—	47	2	no	—
1046	C₂²⋊C₄	—	47	2	no	—
1047	C₂²⋊C₄	—	94	2	no	—
1048	C₂²⋊C₄	—	94	2	no	—
1049	C₂²⋊C₄	—	94	2	no	—
1050	C₂²⋊C₄	—	94	2	no	—
1051	C₂²⋊C₄	—	94	2	no	—
1052	C₂²⋊C₄	—	94	2	no	—
1053	C₂²⋊C₄	—	94	2	no	—
1054	C₂²⋊C₄	—	94	2	no	—
1055	C₂²⋊C₄	—	94	2	no	—
1056	C₂²⋊C₄	—	94	2	no	—
1057	C₂²⋊C₄	—	94	2	no	—
1058	C₂²⋊C₄	—	94	2	no	—
1059	C₂²⋊C₄	—	94	2	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	2	1	no	—
1066	C₄²	—	94	2	no	—
1067	C₄²	—	94	2	no	—
1068	C₄²	—	94	2	no	—
1069	C₄²	D₄×D₄₇	1	1	yes	characteristic
1070	C₄²	D₄×D₄₇	1	1	yes	characteristic
1071	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1072	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1073	C₂³	—	2	1	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	47	2	no	—
1076	C₂³	—	47	2	no	—
1077	C₂³	—	94	4	no	—
1078	C₂³	—	94	4	no	—
1079	C₂³	—	94	2	no	—
1080	C₂³	—	376	2	no	—
1081	C₂³	—	188	2	no	—
1082	C₂³	—	188	4	no	—
1083	C₂³	—	188	4	no	—
1084	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1085	Q₈	—	2	1	no	—
1086	Q₈	—	2	1	no	—
1087	Q₈	—	2	1	no	—
1088	Q₈	—	94	2	no	—
1089	Q₈	—	94	2	no	—
1090	Q₈	—	376	1	no	—
1091	Q₈	—	188	4	no	—
1092	Q₈	—	188	2	no	—
1093	Q₈	C₂×#10625350	1	2	yes	—
1094	D₄	—	2	4	no	—
1095	D₄	—	2	1	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	2	1	no	—
1098	D₄	—	4	2	no	—
1099	D₄	—	47	4	no	—
1100	D₄	—	94	4	no	—
1101	D₄	—	94	2	no	—
1102	D₄	—	94	2	no	—
1103	D₄	—	94	2	no	—
1104	D₄	—	376	1	no	—
1105	D₄	—	376	2	no	—
1106	D₄	—	376	2	no	—
1107	D₄	—	188	4	no	—
1108	D₄	—	188	4	no	—
1109	D₄	—	188	4	no	—
1110	D₄	—	188	4	no	—
1111	D₄	—	188	4	no	—
1112	D₄	—	188	4	no	—
1113	D₄	—	188	2	no	—
1114	D₄	C₂×#10625350	1	2	yes	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	4	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	4	2	no	—
1127	C₂×C₄	—	8	1	no	—
1128	C₂×C₄	—	8	1	no	—
1129	C₂×C₄	—	47	2	no	—
1130	C₂×C₄	—	47	2	no	—
1131	C₂×C₄	—	94	4	no	—
1132	C₂×C₄	—	94	4	no	—
1133	C₂×C₄	—	94	4	no	—
1134	C₂×C₄	—	94	2	no	—
1135	C₂×C₄	—	94	2	no	—
1136	C₂×C₄	—	94	2	no	—
1137	C₂×C₄	—	94	2	no	—
1138	C₂×C₄	—	94	2	no	—
1139	C₂×C₄	—	94	2	no	—
1140	C₂×C₄	—	94	2	no	—
1141	C₂×C₄	—	376	2	no	—
1142	C₂×C₄	—	188	4	no	—
1143	C₂×C₄	—	188	4	no	—
1144	C₂×C₄	—	188	4	no	—
1145	C₂×C₄	—	188	4	no	—
1146	C₂×C₄	—	188	4	no	—
1147	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1148	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1149	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1150	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1151	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1152	C₂×C₄	C₂×#10625350	1	2	yes	—
1153	C₂×C₄	#13094070	1	2	yes	—
1154	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1155	C₈	—	2	1	no	—
1156	C₈	—	2	1	no	—
1157	C₈	—	2	1	no	—
1158	C₈	—	2	1	no	—
1159	C₈	—	94	2	no	—
1160	C₈	—	94	2	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	47	4	no	—
1170	C₂²	—	94	2	no	—
1171	C₂²	—	94	2	no	—
1172	C₂²	—	94	2	no	—
1173	C₂²	—	94	2	no	—
1174	C₂²	—	94	2	no	—
1175	C₂²	—	376	8	no	—
1176	C₂²	—	188	8	no	—
1177	C₂²	—	188	2	no	—
1178	C₂²	—	188	2	no	—
1179	C₂²	—	188	2	no	—
1180	C₂²	#15689769	1	2	yes	—
1181	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1182	C₄	—	2	1	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	1	no	—
1185	C₄	—	2	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	94	2	no	—
1192	C₄	—	94	2	no	—
1193	C₄	—	188	2	no	—
1194	C₄	—	188	2	no	—
1195	C₄	—	188	2	no	—
1196	C₄	#15689769	1	2	yes	—
1197	C₄	#135×D₄₇	1	2	yes	—
1198	C₄	C₂²×#10625350	1	1	yes	characteristic
1199	C₄	C₂×#13094070	1	1	yes	characteristic
1200	C₂	—	2	2	no	—
1201	C₂	—	4	2	no	—
1202	C₂	—	8	1	no	—
1203	C₂	—	94	4	no	—
1204	C₂	—	376	2	no	—
1205	C₂	—	188	2	no	—
1206	C₂	C₂×#15689769	1	1	yes	characteristic
1207	C₂	C₂×#135×D₄₇	1	1	yes	characteristic
1208	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	C₄×#135×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	C₄×#135	D₄₇
hypocenter	C₄₇	#61124
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. #20256952	C₂	semidirect
2. #41×D₁₈₈	C₂	semidirect
3. #20255340	C₂	semidirect
4. #20255329	C₂	semidirect
5. #20255318	C₂	semidirect
6. #20255307	C₂	semidirect
7. #20255295	C₂	semidirect
8. #20255280	C₂	semidirect
9. #20255266	C₂	semidirect
10. #20255255	C₂	semidirect
11. #20255243	C₂	semidirect
12. #20255228	C₂	semidirect
13. #20255214	C₂	semidirect
14. #20255203	C₂	semidirect
15. #20253711	C₂	semidirect
16. #20253305	C₂	semidirect
17. #20253176	C₂	semidirect
18. #20252968	C₂	semidirect
19. #20252843	C₂	semidirect
20. #20252602	C₂	semidirect
21. C₂×C₈×D₁₈₈	C₂	semidirect
22. #416×D₄₇	C₂	semidirect
23. C₄×#135×C₄₇	C₂	semidirect
25. C₂×#13094044	C₂²	semidirect
26. C₂²×C₈×D₄₇	C₂²	semidirect
27. #15689846	C₂²	semidirect
28. #15689838	C₂²	semidirect
30. #15689823	C₂²	semidirect
31. #15689814	C₂²	semidirect
45. #15689680	C₂²	semidirect
52. #15689630	C₂²	semidirect
56. #117×D₄₇	C₂²	semidirect
57. #15689478	C₂²	semidirect
58. #15689478	C₂²	semidirect
59. #15689474	C₂²	semidirect
60. #15689474	C₂²	semidirect
61. #15689470	C₂²	semidirect
62. #15689470	C₂²	semidirect
63. #15689467	C₂²	semidirect
64. #15689466	C₂²	semidirect
65. #15689460	C₂²	semidirect
66. #15689455	C₂²	semidirect
67. #15689450	C₂²	semidirect
68. #15689449	C₂²	semidirect
69. #15689443	C₂²	semidirect
70. #15689438	C₂²	semidirect
71. #15689430	C₂²	semidirect
72. #15689423	C₂²	semidirect
73. #15689418	C₂²	semidirect
74. #15689413	C₂²	semidirect
75. #15689408	C₂²	semidirect
76. #15689403	C₂²	semidirect
77. #15689363	C₂²	semidirect
78. #15689363	C₂²	semidirect
79. #15689358	C₂²	semidirect
80. #15689358	C₂²	semidirect
81. #15689355	C₂²	semidirect
82. #15689355	C₂²	semidirect
83. #15689351	C₂²	semidirect
84. #15689351	C₂²	semidirect
85. #15689345	C₂²	semidirect
86. #15689338	C₂²	semidirect
87. #15689333	C₂²	semidirect
88. #15689328	C₂²	semidirect
89. #15689323	C₂²	semidirect
90. #15689318	C₂²	semidirect
91. #15689284	C₂²	semidirect
92. #15689282	C₂²	semidirect
93. #15689277	C₂²	semidirect
94. #15689272	C₂²	semidirect
95. #15689267	C₂²	semidirect
96. #15689265	C₂²	semidirect
97. #15689260	C₂²	semidirect
98. #15689255	C₂²	semidirect
101. C₈×D₁₈₈	C₂²	semidirect
102. C₈×D₁₈₈	C₂²	semidirect
103. C₈×D₁₈₈	C₂²	semidirect
104. C₈×D₁₈₈	C₂²	semidirect
105. #15689159	C₂²	semidirect
106. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
107. #15689120	C₂²	semidirect
108. #15689120	C₂²	semidirect
110. #15689118	C₂²	semidirect
111. #15689118	C₂²	semidirect
112. #15689117	C₂²	semidirect
113. #15689116	C₂²	semidirect
114. #15689116	C₂²	semidirect
115. #103×D₄₇	C₂²	semidirect
116. #103×D₄₇	C₂²	semidirect
117. #102×D₄₇	C₂²	semidirect
118. #102×D₄₇	C₂²	semidirect
119. C₂×(C₂×D₄₇)⋊C₈	C₂²	semidirect
122. C₄×#41×C₄₇	C₂²	semidirect
123. C₄×Q₁₆×C₄₇	C₂²	semidirect
124. C₄×Q₁₆×C₄₇	C₂²	semidirect
125. C₄×SD₁₆×C₄₇	C₂²	semidirect
126. C₄×SD₁₆×C₄₇	C₂²	semidirect
127. C₄×SD₁₆×C₄₇	C₂²	semidirect
128. C₄×SD₁₆×C₄₇	C₂²	semidirect
129. C₄×D₈×C₄₇	C₂²	semidirect
130. C₄×D₈×C₄₇	C₂²	semidirect
131. C₄₇×#427	C₂²	semidirect
133. C₄₇×#416	C₂²	semidirect
134. C₂×C₄×C₈×C₄₇	C₂²	semidirect
322. #41×C₄₇	#41	semidirect
533. D₁₈₈	#135	semidirect
616. C₄×#135	D₄₇	semidirect
660. C₄×#41	C₂×D₄₇	semidirect
706. C₄×Q₁₆	C₂×D₄₇	semidirect
707. C₄×Q₁₆	C₂×D₄₇	semidirect
708. C₄×SD₁₆	C₂×D₄₇	semidirect
709. C₄×SD₁₆	C₂×D₄₇	semidirect
710. C₄×SD₁₆	C₂×D₄₇	semidirect
711. C₄×SD₁₆	C₂×D₄₇	semidirect
712. C₄×D₈	C₂×D₄₇	semidirect
713. C₄×D₈	C₂×D₄₇	semidirect
721. #427	C₂×D₄₇	semidirect
732. #416	C₂×D₄₇	semidirect
738. C₂×C₄×C₈	C₂×D₄₇	semidirect
739. C₄₇	#61124	semidirect
936. #41	#10625350	semidirect

Maximal subgroups

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

subgroup	index
#20256952	2
#41×D₁₈₈	2
#20255340	2
#20255329	2
#20255318	2
#20255307	2
#20255295	2
#20255280	2
#20255266	2
#20255255	2
#20255243	2
#20255228	2
#20255214	2
#20255203	2
#20253711	2
#20253305	2
#20253176	2
#20252968	2
#20252843	2
#20252602	2
C₂×C₈×D₁₈₈	2
#416×D₄₇	2
C₄×#135×C₄₇	2
#61124	47