Subgroups — #27101774

Order 12032.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1214 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257189	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×D₁₈₈	C₂	1	1	yes	maximal, characteristic
3	#20255728	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255706	C₂	1	1	yes	maximal, characteristic, complemented
5	#20255496	C₂	1	2	yes	maximal, complemented
6	#20255466	C₂	1	2	yes	maximal, complemented
7	#20255266	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255214	C₂	1	1	yes	maximal, characteristic, complemented
9	Q₁₆×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
10	SD₁₆×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255055	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255035	C₂	1	1	yes	maximal, characteristic, complemented
13	#20254964	C₂	1	2	yes	maximal, complemented
14	#20254904	C₂	1	2	yes	maximal, complemented
15	#20254395	C₂	1	1	yes	maximal, characteristic, complemented
16	#20254346	C₂	1	1	yes	maximal, characteristic, complemented
17	#20254222	C₂	1	2	yes	maximal, complemented
18	#20254173	C₂	1	2	yes	maximal, complemented
19	#20253550	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252645	C₂	1	2	yes	maximal, complemented
21	#452×D₄₇	C₂	1	2	yes	maximal, complemented
22	#20252422	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3107	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₇	C₂²	1	2	yes	—
25	C₂×#13094056	C₂²	1	2	yes	complemented
26	C₂×#13094053	C₂²	1	2	yes	complemented
27	C₂×Q₁₆×D₄₇	C₂²	1	2	yes	complemented
28	C₂×SD₁₆×D₄₇	C₂²	1	2	yes	complemented
29	#15689834	C₂²	1	2	yes	complemented
30	#15689833	—	2	1	no	—
31	#15689833	—	2	1	no	—
32	#15689833	C₂²	1	1	yes	characteristic
33	#15689833	C₂²	1	1	yes	characteristic, complemented
34	#15689829	—	2	2	no	—
35	#15689795	C₂²	1	1	yes	characteristic
36	Q₈×D₁₈₈	C₂²	1	1	yes	characteristic
37	Q₈×D₁₈₈	C₂²	1	1	yes	characteristic
38	Q₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
39	#15689788	C₂²	1	2	yes	complemented
40	#15689785	C₂²	1	2	yes	—
41	#15689777	—	2	1	no	—
42	#15689777	C₂²	1	1	yes	characteristic
43	#15689768	—	2	2	no	—
44	#15689768	C₂²	1	2	yes	—
45	D₄×D₁₈₈	—	2	1	no	—
46	D₄×D₁₈₈	C₂²	1	1	yes	characteristic
47	#15689751	—	2	1	no	—
48	#15689748	—	2	2	no	—
49	#15689680	C₂²	1	1	yes	characteristic, complemented
50	#15689673	—	2	1	no	—
51	#15689673	C₂²	1	1	yes	characteristic
52	#15689635	—	2	2	no	—
53	#15689635	C₂²	1	2	yes	—
54	C₂²⋊Q₈×D₄₇	C₂²	1	2	yes	complemented
55	C₂²⋊Q₈×D₄₇	C₂²	1	2	yes	complemented
56	#15689597	—	2	1	no	—
57	C₂×C₄×D₁₈₈	—	2	1	no	—
58	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
59	#15689515	C₂²	1	2	yes	complemented
60	#15689503	C₂²	1	1	yes	characteristic, complemented
61	#15689496	C₂²	1	1	yes	characteristic, complemented
62	#15689485	C₂²	1	2	yes	complemented
63	#15689474	C₂²	1	1	yes	characteristic, complemented
64	#15689470	C₂²	1	1	yes	characteristic, complemented
65	#15689464	C₂²	1	2	yes	complemented
66	#15689460	C₂²	1	2	yes	complemented
67	#15689455	C₂²	1	2	yes	complemented
68	#15689443	C₂²	1	2	yes	complemented
69	#15689438	C₂²	1	2	yes	complemented
70	#15689418	C₂²	1	1	yes	characteristic, complemented
71	#15689413	C₂²	1	1	yes	characteristic, complemented
72	#15689382	C₂²	1	2	yes	complemented
73	#15689380	C₂²	1	2	yes	complemented
74	#15689372	C₂²	1	2	yes	complemented
75	#15689370	C₂²	1	2	yes	complemented
76	#15689365	C₂²	1	2	yes	complemented
77	#15689363	C₂²	1	2	yes	complemented
78	#15689355	C₂²	1	2	yes	complemented
79	#15689353	C₂²	1	2	yes	complemented
80	#15689346	C₂²	1	2	yes	complemented
81	#15689346	C₂²	1	2	yes	complemented
82	#15689333	C₂²	1	1	yes	characteristic, complemented
83	#15689333	C₂²	1	1	yes	characteristic, complemented
84	#15689333	C₂²	1	1	yes	characteristic, complemented
85	#15689328	C₂²	1	1	yes	characteristic, complemented
86	#15689323	C₂²	1	1	yes	characteristic, complemented
87	#15689323	C₂²	1	1	yes	characteristic, complemented
88	#15689288	C₂²	1	2	yes	complemented
89	#15689287	C₂²	1	2	yes	complemented
90	#15689287	C₂²	1	2	yes	complemented
91	#15689286	C₂²	1	2	yes	complemented
92	#15689285	C₂²	1	2	yes	—
93	#15689284	C₂²	1	2	yes	complemented
94	#15689283	C₂²	1	2	yes	complemented
95	#15689283	C₂²	1	2	yes	complemented
96	#15689282	C₂²	1	2	yes	complemented
97	#15689280	C₂²	1	2	yes	complemented
98	#15689280	C₂²	1	2	yes	complemented
99	#15689280	C₂²	1	2	yes	complemented
100	#15689277	C₂²	1	2	yes	complemented
101	#15689275	C₂²	1	2	yes	complemented
102	#15689272	C₂²	1	2	yes	complemented
103	#15689263	C₂²	1	2	yes	complemented
104	#15689263	C₂²	1	2	yes	complemented
105	#15689228	C₂²	1	2	yes	complemented
106	#15689223	C₂²	1	2	yes	complemented
107	#15689202	C₂²	1	1	yes	characteristic, complemented
108	#15689202	C₂²	1	1	yes	characteristic, complemented
109	#15689193	C₂²	1	2	yes	complemented
110	#15689193	C₂²	1	2	yes	complemented
111	C₈×D₁₈₈	C₂²	1	1	yes	characteristic
112	C₈×D₁₈₈	C₂²	1	1	yes	characteristic
113	#15689180	C₂²	1	1	yes	characteristic, complemented
114	#15689123	C₂²	1	2	yes	complemented
115	#15689121	C₂²	1	2	yes	complemented
116	#103×D₄₇	C₂²	1	2	yes	complemented
117	#102×D₄₇	C₂²	1	2	yes	complemented
118	#15689085	C₂²	1	2	yes	complemented
119	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
120	C₄₇×#533	C₂²	1	1	yes	characteristic, complemented
121	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
122	C₄₇×#485	C₂²	1	1	yes	characteristic, complemented
123	C₄₇×#485	C₂²	1	1	yes	characteristic, complemented
124	C₄₇×#475	C₂²	1	1	yes	characteristic, complemented
125	C₄₇×#474	C₂²	1	1	yes	characteristic, complemented
126	C₄₇×#462	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#461	C₂²	1	1	yes	characteristic, complemented
128	C₄₇×#452	C₂²	1	1	yes	characteristic
129	C₄₇×#452	C₂²	1	1	yes	characteristic
130	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
133	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₄₇×#431	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625354	C₂³	1	2	yes	—
136	C₂×#10625350	—	2	2	no	—
137	C₂×#10625350	C₂³	1	2	yes	—
138	C₂×#10625352	—	2	2	no	—
139	C₂×#10625352	C₂³	1	2	yes	—
140	#41×D₄₇	—	4	4	no	—
141	#41×D₄₇	—	4	4	no	—
142	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
143	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
144	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
145	C₂²×D₁₈₈	—	2	1	no	—
146	C₂²×D₁₈₈	D₄	1	1	yes	characteristic
147	C₂×D₄×D₄₇	—	2	2	no	—
148	C₂×D₄×D₄₇	C₂³	1	2	yes	—
149	C₂²×C₄×D₄₇	—	2	2	no	—
150	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
151	#13094056	—	4	4	no	—
152	#13094053	—	4	4	no	—
153	C₂×Dic₁₈₈	C₂³	1	2	yes	—
154	C₂×Dic₁₈₈	C₂³	1	2	yes	—
155	C₂×#10625337	C₂³	1	2	yes	—
156	C₂×#10625337	C₂³	1	2	yes	—
157	C₂×#10625337	C₂³	1	2	yes	—
158	Q₁₆×D₄₇	—	4	4	no	—
159	C₂×#10625325	C₂³	1	2	yes	—
160	C₂×#10625325	C₂³	1	2	yes	—
161	C₂×#10625335	C₂³	1	2	yes	—
162	C₂×#10625336	C₂³	1	2	yes	—
163	C₂×#10625336	C₂³	1	2	yes	—
164	SD₁₆×D₄₇	—	4	4	no	—
165	C₂×#10625324	C₂³	1	2	yes	—
166	C₂×#10625324	C₂³	1	2	yes	—
167	C₂×C₈×D₄₇	C₂³	1	2	yes	—
168	C₂×C₈×D₄₇	C₂³	1	2	yes	—
169	#13094024	—	2	1	no	—
170	#13094024	—	2	1	no	—
171	#13094024	—	2	1	no	—
172	#13094024	C₂³	1	1	yes	characteristic
173	#13094024	C₂³	1	1	yes	characteristic
174	#13094024	C₂³	1	1	yes	characteristic
175	#13094023	—	2	2	no	—
176	#13094021	—	2	1	no	—
177	#13094021	C₂³	1	1	yes	characteristic
178	#13094016	—	2	1	no	—
179	#13094016	—	2	1	no	—
180	#13094016	—	2	1	no	—
181	#13094015	—	2	2	no	—
182	#13094012	—	2	2	no	—
183	#13094012	C₂³	1	2	yes	—
184	#13094008	—	2	2	no	—
185	#13094008	—	2	2	no	—
186	#13094008	—	2	2	no	—
187	#13094004	—	2	2	no	—
188	#13094004	—	2	2	no	—
189	#13094004	—	2	2	no	—
190	#13094004	—	2	2	no	—
191	#13094004	C₂³	1	2	yes	—
192	#13094004	C₂³	1	2	yes	—
193	#13094004	C₂³	1	2	yes	—
194	#13094004	C₂³	1	2	yes	—
195	#13094003	—	2	1	no	—
196	#13094003	C₂³	1	2	yes	—
197	#13094002	—	2	2	no	—
198	#13094002	—	2	2	no	—
199	#13094002	—	2	2	no	—
200	#13094002	—	2	2	no	—
201	#13094002	—	2	2	no	—
202	#13094002	—	2	2	no	—
203	#13094001	—	2	2	no	—
204	#13094001	—	2	2	no	—
205	#13094000	—	2	2	no	—
206	#13094000	—	2	2	no	—
207	#13094000	C₂³	1	2	yes	—
208	#13094000	C₂³	1	2	yes	—
209	#13093999	—	2	2	no	—
210	#13093999	—	2	2	no	—
211	#13093999	C₂³	1	2	yes	—
212	#13093999	C₂³	1	2	yes	—
213	#13093998	—	2	1	no	—
214	#13093998	—	2	1	no	—
215	#13093998	—	2	1	no	—
216	#13093998	—	2	2	no	—
217	#13093998	—	2	1	no	—
218	#13093994	—	2	2	no	—
219	#13093994	—	2	2	no	—
220	#13093994	—	2	2	no	—
221	C₄×Dic₉₄	—	2	1	no	—
222	C₄×Dic₉₄	C₂³	1	2	yes	—
223	C₄×D₁₈₈	—	2	1	no	—
224	C₄×D₁₈₈	—	2	1	no	—
225	C₄×D₁₈₈	—	2	1	no	—
226	C₄×D₁₈₈	—	2	1	no	—
227	C₄×D₁₈₈	—	2	1	no	—
228	C₄×D₁₈₈	—	2	2	no	—
229	C₄×D₁₈₈	—	2	2	no	—
230	C₄×D₁₈₈	—	2	1	no	—
231	C₄×D₁₈₈	—	2	1	no	—
232	C₄×D₁₈₈	—	2	2	no	—
233	C₄×D₁₈₈	—	2	1	no	—
234	C₄×D₁₈₈	D₄	1	2	yes	—
235	C₄×D₁₈₈	D₄	1	1	yes	characteristic
236	C₄×D₁₈₈	D₄	1	1	yes	characteristic
237	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
238	C₄×D₁₈₈	C₂³	1	2	yes	—
239	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
240	#13093986	—	2	2	no	—
241	#13093986	—	2	2	no	—
242	#13093983	—	2	1	no	—
243	C₂×C₄⋊Dic₄₇	—	2	1	no	—
244	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
245	C₄⋊C₄×D₄₇	—	2	2	no	—
246	C₄⋊C₄×D₄₇	—	2	2	no	—
247	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
248	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
249	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
250	C₂×(C₂×D₄₇)⋊C₄	D₄	1	2	yes	—
251	C₂²⋊C₄×D₄₇	—	2	2	no	—
252	C₂²⋊C₄×D₄₇	—	2	2	no	—
253	#13093957	C₂³	1	2	yes	—
254	#13093955	C₂³	1	2	yes	—
255	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
256	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
257	#13093949	C₂³	1	2	yes	—
258	#13093949	C₂³	1	2	yes	—
259	#13093948	C₂³	1	2	yes	—
260	#13093947	C₂³	1	2	yes	—
261	#13093947	C₂³	1	2	yes	—
262	#13093947	C₂³	1	2	yes	—
263	#13093947	C₂³	1	2	yes	—
264	#13093946	C₂³	1	2	yes	—
265	#13093946	C₂³	1	2	yes	—
266	#13093945	C₂³	1	2	yes	—
267	#13093944	C₂³	1	2	yes	—
268	#13093944	C₂³	1	2	yes	—
269	C₂²⋊(C₄₇⋊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×D₄₇)⋊C₈	C₂³	1	2	yes	—
274	#13093935	C₂³	1	2	yes	—
275	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
276	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
277	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
279	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
280	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
281	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
282	#125×C₄₇	—	2	1	no	—
283	C₂²⋊Q₈×C₄₇	—	2	1	no	—
284	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
285	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₇	—	2	1	no	—
287	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
288	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
289	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
290	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₄₇	—	2	1	no	—
292	C₄×D₄×C₄₇	—	2	1	no	—
293	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
295	#117×C₄₇	—	2	1	no	—
296	#117×C₄₇	—	2	1	no	—
297	#117×C₄₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₄₇	—	2	1	no	—
299	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
300	#107×C₄₇	C₂³	1	1	yes	characteristic
301	#107×C₄₇	C₂³	1	1	yes	characteristic
302	#106×C₄₇	C₂³	1	1	yes	characteristic
303	#106×C₄₇	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×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	#103×C₄₇	C₂³	1	1	yes	characteristic
310	#103×C₄₇	C₂³	1	1	yes	characteristic
311	#103×C₄₇	C₂³	1	1	yes	characteristic
312	#102×C₄₇	C₂³	1	1	yes	characteristic
313	#102×C₄₇	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
318	C₂³×D₄₇	—	2	2	no	—
319	C₂³×D₄₇	C₂×D₄	1	2	yes	—
320	#41×C₄₇	—	2	2	no	—
321	#41×C₄₇	—	2	2	no	—
322	C₂×Q₈×C₄₇	—	2	1	no	—
323	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
324	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₄₇	—	2	1	no	—
327	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₄₇	—	2	1	no	—
329	C₂²×C₄×C₄₇	—	2	1	no	—
330	C₂²×C₄×C₄₇	—	2	1	no	—
331	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₇	—	2	2	no	—
335	C₂×C₂²⋊D₄₇	—	2	2	no	—
336	C₂×C₂²⋊D₄₇	—	2	2	no	—
337	C₂²×Dic₄₇	—	2	2	no	—
338	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
339	#10625354	—	2	4	no	—
340	#10625354	—	4	2	no	—
341	Q₈×D₄₇	—	2	4	no	—
342	Q₈×D₄₇	—	4	2	no	—
343	Q₈×D₄₇	—	4	2	no	—
344	Q₈×D₄₇	—	4	2	no	—
345	Q₈×D₄₇	—	4	2	no	—
346	Q₈×D₄₇	—	4	2	no	—
347	#10625352	—	2	4	no	—
348	#10625352	—	4	2	no	—
349	#10625352	—	4	8	no	—
350	D₄×D₄₇	—	2	4	no	—
351	D₄×D₄₇	—	4	2	no	—
352	D₄×D₄₇	—	4	8	no	—
353	#10625350	—	4	2	no	—
354	#10625350	—	4	2	no	—
355	#10625350	—	4	8	no	—
356	C₂×D₁₈₈	—	2	4	no	—
357	C₂×D₁₈₈	—	2	2	no	—
358	C₂×D₁₈₈	—	2	2	no	—
359	C₂×D₁₈₈	—	2	1	no	—
360	C₂×D₁₈₈	—	2	2	no	—
361	C₂×D₁₈₈	—	2	1	no	—
362	C₂×D₁₈₈	—	4	4	no	—
363	C₂×D₁₈₈	C₂×D₄	1	2	yes	—
364	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
365	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
366	C₂×D₁₈₈	C₂⁴	1	2	yes	—
367	C₂×C₄×D₄₇	—	2	2	no	—
368	C₂×C₄×D₄₇	—	2	2	no	—
369	C₂×C₄×D₄₇	—	2	2	no	—
370	C₂×C₄×D₄₇	—	2	2	no	—
371	C₂×C₄×D₄₇	—	2	2	no	—
372	C₂×C₄×D₄₇	—	2	2	no	—
373	C₂×C₄×D₄₇	—	2	2	no	—
374	C₂×C₄×D₄₇	—	4	2	no	—
375	C₂×C₄×D₄₇	—	4	2	no	—
376	C₂×C₄×D₄₇	—	4	8	no	—
377	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
378	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
379	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
380	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
381	C₂×Dic₉₄	—	2	2	no	—
382	C₂×Dic₉₄	—	2	1	no	—
383	C₂×Dic₉₄	—	2	2	no	—
384	C₂×Dic₉₄	—	2	2	no	—
385	C₂×Dic₉₄	C₂⁴	1	2	yes	—
386	C₂×Dic₉₄	C₂⁴	1	2	yes	—
387	Q₁₆×C₄₇	—	2	2	no	—
388	Q₁₆×C₄₇	—	2	2	no	—
389	SD₁₆×C₄₇	—	2	2	no	—
390	SD₁₆×C₄₇	—	2	2	no	—
391	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₄₇	—	2	1	no	—
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	—	2	1	no	—
401	C₄⋊C₄×C₄₇	—	2	1	no	—
402	C₄⋊C₄×C₄₇	—	2	1	no	—
403	C₄⋊C₄×C₄₇	—	2	1	no	—
404	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
408	C₂²⋊C₄×C₄₇	—	2	1	no	—
409	C₂²⋊C₄×C₄₇	—	2	1	no	—
410	C₂²⋊C₄×C₄₇	—	2	1	no	—
411	C₂²⋊C₄×C₄₇	—	2	1	no	—
412	C₂²⋊C₄×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	—	2	1	no	—
417	C₄²×C₄₇	—	2	1	no	—
418	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
419	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
420	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
421	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
422	C₂²⋊Dic₄₇	—	2	2	no	—
423	#10625337	—	2	4	no	—
424	#10625337	—	4	2	no	—
425	#10625337	—	4	2	no	—
426	#10625336	—	4	2	no	—
427	#10625336	—	4	2	no	—
428	#10625335	—	2	4	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	—	2	2	no	—
438	(C₂×D₄₇)⋊C₄	—	2	2	no	—
439	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
440	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
441	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
442	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
443	C₄⋊Dic₄₇	—	2	1	no	—
444	C₄⋊Dic₄₇	—	2	1	no	—
445	C₄⋊Dic₄₇	—	2	1	no	—
446	C₄⋊Dic₄₇	—	2	1	no	—
447	C₄⋊Dic₄₇	—	2	1	no	—
448	C₄⋊Dic₄₇	—	2	2	no	—
449	C₄⋊Dic₄₇	—	2	2	no	—
450	C₄⋊Dic₄₇	—	2	2	no	—
451	C₄⋊Dic₄₇	—	2	2	no	—
452	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
453	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
454	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
455	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
456	Dic₄₇⋊C₄	—	2	2	no	—
457	Dic₄₇⋊C₄	—	2	2	no	—
458	Dic₄₇⋊C₄	—	2	2	no	—
459	Dic₄₇⋊C₄	—	2	2	no	—
460	Dic₄₇⋊C₄	—	2	2	no	—
461	Dic₄₇⋊C₄	—	2	2	no	—
462	C₄×Dic₄₇	—	2	2	no	—
463	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
464	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
465	Dic₁₈₈	—	4	2	no	—
466	Dic₁₈₈	—	4	2	no	—
467	#10625325	—	4	2	no	—
468	#10625325	—	4	2	no	—
469	#10625324	—	4	2	no	—
470	#10625324	—	4	2	no	—
471	C₈×D₄₇	—	4	2	no	—
472	C₈×D₄₇	—	4	2	no	—
473	C₂³×C₄₇	—	2	1	no	—
474	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
475	C₂²×D₄₇	—	2	4	no	—
476	C₂²×D₄₇	—	2	2	no	—
477	C₂²×D₄₇	—	4	2	no	—
478	C₂²×D₄₇	—	4	2	no	—
479	C₂²×D₄₇	—	4	4	no	—
480	C₂²×D₄₇	—	4	4	no	—
481	C₂²×D₄₇	—	8	2	no	—
482	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
483	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
484	Q₈×C₄₇	—	2	1	no	—
485	Q₈×C₄₇	—	2	1	no	—
486	Q₈×C₄₇	—	2	1	no	—
487	Q₈×C₄₇	—	2	1	no	—
488	Q₈×C₄₇	—	2	1	no	—
489	Q₈×C₄₇	—	8	1	no	—
490	Q₈×C₄₇	H(5,𝔽₂)	1	2	yes	—
491	D₄×C₄₇	—	2	4	no	—
492	D₄×C₄₇	—	2	1	no	—
493	D₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
494	C₂×C₄×C₄₇	—	2	4	no	—
495	C₂×C₄×C₄₇	—	2	1	no	—
496	C₂×C₄×C₄₇	—	2	2	no	—
497	C₂×C₄×C₄₇	—	2	1	no	—
498	C₂×C₄×C₄₇	—	2	1	no	—
499	C₂×C₄×C₄₇	—	2	1	no	—
500	C₂×C₄×C₄₇	—	2	1	no	—
501	C₂×C₄×C₄₇	—	2	1	no	—
502	C₂×C₄×C₄₇	—	2	1	no	—
503	C₂×C₄×C₄₇	—	2	1	no	—
504	C₂×C₄×C₄₇	—	2	1	no	—
505	C₂×C₄×C₄₇	—	4	1	no	—
506	C₂×C₄×C₄₇	—	4	2	no	—
507	C₂×C₄×C₄₇	—	8	1	no	—
508	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
514	C₂²⋊D₄₇	—	4	4	no	—
515	C₂²⋊D₄₇	—	4	4	no	—
516	C₂²⋊D₄₇	—	4	4	no	—
517	C₂×Dic₄₇	—	2	2	no	—
518	C₂×Dic₄₇	—	2	2	no	—
519	C₂×Dic₄₇	—	2	2	no	—
520	C₂×Dic₄₇	—	4	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	#137	1	4	yes	complemented
534	C₄×D₄₇	—	2	2	no	—
535	C₄×D₄₇	—	2	2	no	—
536	C₄×D₄₇	—	2	2	no	—
537	C₄×D₄₇	—	2	2	no	—
538	C₄×D₄₇	—	4	2	no	—
539	C₄×D₄₇	—	4	2	no	—
540	C₄×D₄₇	—	4	4	no	—
541	C₄×D₄₇	—	4	4	no	—
542	C₄×D₄₇	—	4	4	no	—
543	C₄×D₄₇	—	8	2	no	—
544	C₄×D₄₇	—	8	2	no	—
545	C₄×D₄₇	—	8	2	no	—
546	C₄×D₄₇	—	8	2	no	—
547	Dic₉₄	—	2	2	no	—
548	Dic₉₄	—	2	2	no	—
549	Dic₉₄	—	2	2	no	—
550	Dic₉₄	—	2	2	no	—
551	Dic₉₄	—	4	4	no	—
552	Dic₉₄	—	8	2	no	—
553	Dic₉₄	—	8	2	no	—
554	Dic₉₄	—	8	1	no	—
555	C₈×C₄₇	—	2	1	no	—
556	C₈×C₄₇	—	2	1	no	—
557	C₈×C₄₇	—	2	1	no	—
558	C₈×C₄₇	—	2	1	no	—
559	C₄₇⋊C₈	—	2	2	no	—
560	C₄₇⋊C₈	—	2	2	no	—
561	#61607	—	47	1	no	maximal, Sylow
562	C₂²×C₄₇	—	2	1	no	—
563	C₂²×C₄₇	—	2	1	no	—
564	C₂²×C₄₇	—	2	2	no	—
565	C₂²×C₄₇	—	2	1	no	—
566	C₂²×C₄₇	—	4	1	no	—
567	C₂²×C₄₇	—	4	1	no	—
568	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
569	C₂×D₄₇	—	2	2	no	—
570	C₂×D₄₇	—	2	2	no	—
571	C₂×D₄₇	—	2	2	no	—
572	C₂×D₄₇	—	2	2	no	—
573	C₂×D₄₇	—	2	2	no	—
574	C₂×D₄₇	—	4	2	no	—
575	C₂×D₄₇	—	4	2	no	—
576	C₂×D₄₇	—	4	2	no	—
577	C₂×D₄₇	—	8	4	no	—
578	C₂×D₄₇	—	8	8	no	—
579	C₂×D₄₇	C₂×#137	1	4	yes	—
580	C₄×C₄₇	—	2	1	no	—
581	C₄×C₄₇	—	2	1	no	—
582	C₄×C₄₇	—	2	2	no	—
583	C₄×C₄₇	—	2	1	no	—
584	C₄×C₄₇	—	2	1	no	—
585	C₄×C₄₇	—	4	1	no	—
586	C₄×C₄₇	—	4	1	no	—
587	C₄×C₄₇	—	4	1	no	—
588	C₄×C₄₇	—	4	1	no	—
589	C₄×C₄₇	—	4	1	no	—
590	C₄×C₄₇	—	4	1	no	—
591	C₄×C₄₇	C₂×#137	1	2	yes	—
592	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
593	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
594	Dic₄₇	—	2	2	no	—
595	Dic₄₇	—	2	2	no	—
596	Dic₄₇	—	4	2	no	—
597	Dic₄₇	—	4	2	no	—
598	Dic₄₇	—	4	2	no	—
599	#3501	—	47	1	no	—
600	D₄×#41	—	47	1	no	—
601	#3333	—	47	1	no	—
602	#3331	—	47	1	no	—
603	#3316	—	47	2	no	—
604	#3314	—	47	2	no	—
605	#3299	—	47	1	no	—
606	#3295	—	47	1	no	—
607	D₄×Q₁₆	—	47	1	no	—
608	D₄×SD₁₆	—	47	1	no	—
609	#3278	—	47	1	no	—
610	#3276	—	47	1	no	—
611	#3270	—	47	2	no	—
612	#3266	—	47	2	no	—
613	#3216	—	47	1	no	—
614	#3210	—	47	1	no	—
615	#3196	—	47	2	no	—
616	#3190	—	47	2	no	—
617	#3116	—	47	1	no	—
618	#3107	D₄₇	1	1	yes	characteristic, complemented
619	#3007	—	47	2	no	—
620	C₂×#452	—	47	2	no	—
621	#2974	—	47	1	no	—
622	C₂×C₄₇	—	4	1	no	—
623	C₂×C₄₇	—	4	2	no	—
624	C₂×C₄₇	#3484	1	1	yes	characteristic
625	C₂×C₄₇	C₂²×#137	1	1	yes	characteristic
626	C₂×C₄₇	#3584	1	1	yes	characteristic
627	D₄₇	—	2	4	no	—
628	D₄₇	—	4	2	no	—
629	D₄₇	—	8	2	no	—
630	C₂²×#41	—	47	2	no	—
631	C₂×#137	—	47	2	no	—
632	C₂×#137	—	47	2	no	—
633	C₂²×Q₁₆	—	47	2	no	—
634	C₂²×SD₁₆	—	47	2	no	—
635	#554	—	47	2	no	—
636	#554	—	47	1	no	—
637	#554	—	47	1	no	—
638	#554	—	94	1	no	—
639	#554	—	94	1	no	—
640	#554	—	94	2	no	—
641	#550	—	47	1	no	—
642	D₄×Q₈	—	47	2	no	—
643	D₄×Q₈	—	47	1	no	—
644	D₄×Q₈	—	47	1	no	—
645	D₄×Q₈	—	47	1	no	—
646	#548	—	47	2	no	—
647	#547	—	47	1	no	—
648	#547	—	94	1	no	—
649	#546	—	47	2	no	—
650	#546	—	94	2	no	—
651	D₄²	—	47	1	no	—
652	D₄²	—	94	1	no	—
653	#544	—	94	1	no	—
654	#543	—	94	2	no	—
655	#533	—	47	1	no	—
656	#533	C₂×D₄₇	1	1	yes	characteristic, complemented
657	#532	—	47	1	no	—
658	#532	—	94	1	no	—
659	#525	—	47	2	no	—
660	#525	—	94	2	no	—
661	C₂×C₂²⋊Q₈	—	47	2	no	—
662	C₂×C₂²⋊Q₈	—	47	2	no	—
663	#518	—	94	1	no	—
664	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
665	C₂×C₄×D₄	—	47	1	no	—
666	C₂×C₄×D₄	—	94	1	no	—
667	#497	—	47	2	no	—
668	#494	—	47	1	no	—
669	#492	—	47	1	no	—
670	#489	—	47	2	no	—
671	#487	—	47	1	no	—
672	#486	—	47	1	no	—
673	#485	—	47	2	no	—
674	#485	C₂×D₄₇	1	1	yes	characteristic, complemented
675	#485	C₂×D₄₇	1	1	yes	characteristic, complemented
676	#484	—	47	2	no	—
677	#483	—	47	2	no	—
678	#481	—	47	2	no	—
679	#480	—	47	2	no	—
680	#477	—	47	1	no	—
681	#476	—	47	1	no	—
682	#475	C₂×D₄₇	1	1	yes	characteristic, complemented
683	#474	C₂×D₄₇	1	1	yes	characteristic, complemented
684	#470	—	47	2	no	—
685	#470	—	47	2	no	—
686	#468	—	47	2	no	—
687	#468	—	47	2	no	—
688	#467	—	47	2	no	—
689	#467	—	47	2	no	—
690	#465	—	47	2	no	—
691	#465	—	47	2	no	—
692	#464	—	47	2	no	—
693	#464	—	47	2	no	—
694	#462	—	47	1	no	—
695	#462	—	47	1	no	—
696	#462	—	47	1	no	—
697	#462	C₂×D₄₇	1	1	yes	characteristic, complemented
698	#461	—	47	1	no	—
699	#461	C₂×D₄₇	1	1	yes	characteristic, complemented
700	#460	—	47	1	no	—
701	#460	—	47	1	no	—
702	#452	—	47	2	no	—
703	#452	—	47	2	no	—
704	#452	—	47	2	no	—
705	#452	—	47	2	no	—
706	#452	—	47	2	no	—
707	#452	—	47	2	no	—
708	#452	—	47	2	no	—
709	#452	—	47	2	no	—
710	#452	—	47	2	no	—
711	#452	C₂×D₄₇	1	1	yes	characteristic
712	#452	C₂×D₄₇	1	1	yes	characteristic
713	#451	—	47	2	no	—
714	#451	—	47	2	no	—
715	#451	—	47	2	no	—
716	#451	—	47	2	no	—
717	#450	—	47	2	no	—
718	#450	—	47	2	no	—
719	#448	—	47	2	no	—
720	#448	—	47	2	no	—
721	#441	—	47	2	no	—
722	#440	—	47	2	no	—
723	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
724	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
725	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
726	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
727	#436	—	47	1	no	—
728	#436	—	47	1	no	—
729	#435	—	47	2	no	—
730	#435	—	47	2	no	—
731	C₈×D₄	—	47	1	no	—
732	C₈×D₄	—	47	1	no	—
733	#432	—	47	1	no	—
734	#431	C₂×D₄₇	1	1	yes	characteristic, complemented
735	#417	—	47	2	no	—
736	#417	—	47	2	no	—
737	C₂×#103	—	47	2	no	—
738	C₂×#102	—	47	2	no	—
739	#407	—	47	2	no	—
740	C₂×C₂²⋊C₈	—	47	2	no	—
741	C₄₇	#61607	1	1	yes	characteristic, complemented, Sylow
742	C₂×#41	—	47	2	no	—
743	C₂×#41	—	47	2	no	—
744	C₂×#41	—	47	2	no	—
745	C₂×#41	—	94	2	no	—
746	C₂×#41	—	94	2	no	—
747	C₂×#41	—	188	4	no	—
748	C₂×#41	—	188	4	no	—
749	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
750	C₂²×Q₈	—	47	2	no	—
751	C₂²×Q₈	—	47	2	no	—
752	C₂²×Q₈	—	47	2	no	—
753	C₂²×D₄	—	47	2	no	—
754	C₂²×D₄	—	47	1	no	—
755	C₂²×D₄	—	94	1	no	—
756	C₂²×D₄	—	94	2	no	—
757	C₂³×C₄	—	47	2	no	—
758	C₂³×C₄	—	94	2	no	—
759	#137	—	188	4	no	—
760	#137	—	188	4	no	—
761	C₂×Q₁₆	—	47	2	no	—
762	C₂×Q₁₆	—	47	2	no	—
763	C₂×Q₁₆	—	47	2	no	—
764	C₂×Q₁₆	—	47	2	no	—
765	C₂×Q₁₆	—	47	2	no	—
766	C₂×Q₁₆	—	188	4	no	—
767	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
768	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
769	C₂×SD₁₆	—	47	2	no	—
770	C₂×SD₁₆	—	47	2	no	—
771	C₂×SD₁₆	—	47	2	no	—
772	C₂×SD₁₆	—	47	2	no	—
773	C₂×SD₁₆	—	47	2	no	—
774	C₂×SD₁₆	—	188	4	no	—
775	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
776	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
777	C₂×M₁₆	—	47	2	no	—
778	C₂×M₁₆	—	47	2	no	—
779	C₂²×C₈	—	47	2	no	—
780	C₂²×C₈	—	47	2	no	—
781	C₄⋊Q₈	—	47	1	no	—
782	C₄⋊Q₈	—	47	1	no	—
783	C₄⋊Q₈	—	47	1	no	—
784	C₄⋊Q₈	—	94	1	no	—
785	C₄⋊Q₈	—	94	1	no	—
786	C₄⋊Q₈	—	94	1	no	—
787	C₄⋊Q₈	—	94	2	no	—
788	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
789	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
790	#127	—	47	1	no	—
791	#127	—	94	1	no	—
792	#125	—	2	1	no	—
793	#125	—	94	1	no	—
794	#125	—	94	1	no	—
795	#125	—	94	2	no	—
796	#125	—	94	1	no	—
797	#124	—	47	2	no	—
798	#124	—	94	2	no	—
799	#123	—	94	2	no	—
800	#123	—	94	2	no	—
801	#123	—	94	2	no	—
802	C₂²⋊Q₈	—	2	1	no	—
803	C₂²⋊Q₈	—	47	2	no	—
804	C₂²⋊Q₈	—	47	2	no	—
805	C₂²⋊Q₈	—	47	2	no	—
806	C₂²⋊Q₈	—	47	2	no	—
807	C₂²⋊Q₈	—	47	2	no	—
808	C₂²⋊Q₈	—	47	2	no	—
809	C₂²⋊Q₈	—	47	2	no	—
810	C₂²⋊Q₈	—	94	2	no	—
811	C₂²⋊Q₈	—	94	2	no	—
812	C₂²⋊Q₈	—	94	2	no	—
813	C₂²⋊Q₈	—	94	2	no	—
814	C₂²⋊Q₈	—	94	2	no	—
815	C₂²⋊Q₈	—	94	2	no	—
816	C₂²⋊Q₈	—	94	2	no	—
817	C₂²⋊Q₈	—	94	2	no	—
818	C₂²⋊Q₈	—	94	2	no	—
819	C₂²⋊Q₈	—	94	2	no	—
820	C₂²⋊Q₈	—	94	2	no	—
821	C₂²⋊Q₈	—	94	2	no	—
822	C₂²⋊Q₈	—	94	2	no	—
823	C₂²⋊Q₈	—	94	2	no	—
824	C₂²⋊Q₈	—	94	1	no	—
825	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
826	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
827	#121	—	47	2	no	—
828	#121	—	47	2	no	—
829	#121	—	94	2	no	—
830	#121	—	94	2	no	—
831	#121	—	94	2	no	—
832	#121	—	94	1	no	—
833	#121	—	94	1	no	—
834	#121	—	94	1	no	—
835	#121	—	94	1	no	—
836	#120	—	94	2	no	—
837	#120	—	94	2	no	—
838	#120	—	94	2	no	—
839	C₄×Q₈	—	2	1	no	—
840	C₄×Q₈	—	47	2	no	—
841	C₄×Q₈	—	94	1	no	—
842	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
843	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
844	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
845	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
846	C₄×D₄	—	2	1	no	—
847	C₄×D₄	—	2	1	no	—
848	C₄×D₄	—	47	1	no	—
849	C₄×D₄	—	47	2	no	—
850	C₄×D₄	—	47	1	no	—
851	C₄×D₄	—	47	1	no	—
852	C₄×D₄	—	47	2	no	—
853	C₄×D₄	—	47	1	no	—
854	C₄×D₄	—	94	2	no	—
855	C₄×D₄	—	94	1	no	—
856	C₄×D₄	—	94	2	no	—
857	C₄×D₄	—	94	2	no	—
858	C₄×D₄	—	94	1	no	—
859	C₄×D₄	—	94	1	no	—
860	C₄×D₄	—	94	1	no	—
861	C₄×D₄	—	94	1	no	—
862	C₄×D₄	—	94	1	no	—
863	C₄×D₄	—	94	2	no	—
864	C₄×D₄	—	94	2	no	—
865	C₄×D₄	—	94	1	no	—
866	C₄×D₄	—	94	1	no	—
867	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
868	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
869	#117	—	2	1	no	—
870	#117	—	2	1	no	—
871	#117	—	94	1	no	—
872	#117	C₂²×D₄₇	1	1	yes	characteristic
873	C₂×C₄⋊C₄	—	47	1	no	—
874	C₂×C₄⋊C₄	—	47	2	no	—
875	C₂×C₄⋊C₄	—	47	2	no	—
876	C₂×C₄⋊C₄	—	94	2	no	—
877	C₂×C₄⋊C₄	—	94	2	no	—
878	C₂×C₄⋊C₄	—	94	1	no	—
879	C₂×C₂²⋊C₄	—	47	2	no	—
880	C₂×C₂²⋊C₄	—	94	2	no	—
881	C₂×C₂²⋊C₄	—	94	2	no	—
882	C₂×C₂²⋊C₄	—	94	2	no	—
883	C₂×C₄²	—	2	1	no	—
884	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
885	#107	—	47	2	no	—
886	#107	C₂²×D₄₇	1	1	yes	characteristic
887	#107	C₂²×D₄₇	1	1	yes	characteristic
888	#106	—	47	2	no	—
889	#106	C₂²×D₄₇	1	1	yes	characteristic
890	#106	C₂²×D₄₇	1	1	yes	characteristic
891	C₄⋊C₈	—	47	1	no	—
892	C₄⋊C₈	—	47	1	no	—
893	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
894	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
895	#103	—	47	2	no	—
896	#103	—	47	2	no	—
897	#103	—	47	2	no	—
898	#103	—	47	2	no	—
899	#103	—	47	2	no	—
900	#103	—	47	2	no	—
901	#103	—	47	2	no	—
902	#103	C₂²×D₄₇	1	1	yes	characteristic
903	#103	C₂²×D₄₇	1	1	yes	characteristic
904	#103	C₂²×D₄₇	1	1	yes	characteristic
905	#103	C₂²×D₄₇	1	1	yes	characteristic
906	#103	C₂²×D₄₇	1	1	yes	characteristic
907	#103	C₂²×D₄₇	1	1	yes	characteristic
908	#102	—	47	2	no	—
909	#102	—	47	2	no	—
910	#102	—	47	2	no	—
911	#102	—	47	2	no	—
912	#102	—	47	2	no	—
913	#102	C₂²×D₄₇	1	1	yes	characteristic
914	#102	C₂²×D₄₇	1	1	yes	characteristic
915	C₂²⋊C₈	—	47	2	no	—
916	C₂²⋊C₈	—	47	2	no	—
917	C₂²⋊C₈	—	47	2	no	—
918	C₂²⋊C₈	—	47	2	no	—
919	C₂²⋊C₈	—	47	2	no	—
920	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
921	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
922	#97	—	47	2	no	—
923	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
924	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
925	C₂⁴	—	47	2	no	—
926	C₂⁴	—	94	2	no	—
927	#41	—	2	2	no	—
928	#41	—	2	2	no	—
929	#41	—	94	4	no	—
930	#41	—	94	4	no	—
931	#41	—	188	2	no	—
932	#41	—	188	2	no	—
933	#41	—	188	8	no	—
934	#41	—	188	2	no	—
935	#41	—	188	2	no	—
936	#41	—	188	8	no	—
937	C₂×Q₈	—	2	1	no	—
938	C₂×Q₈	—	47	2	no	—
939	C₂×Q₈	—	47	2	no	—
940	C₂×Q₈	—	94	2	no	—
941	C₂×Q₈	—	94	2	no	—
942	C₂×Q₈	—	94	2	no	—
943	C₂×Q₈	—	94	1	no	—
944	C₂×Q₈	—	94	4	no	—
945	C₂×Q₈	—	188	2	no	—
946	C₂×Q₈	—	188	2	no	—
947	C₂×Q₈	—	188	2	no	—
948	C₂×Q₈	—	188	2	no	—
949	C₂×Q₈	—	188	2	no	—
950	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
951	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
952	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
953	C₂×D₄	—	2	1	no	—
954	C₂×D₄	—	47	1	no	—
955	C₂×D₄	—	47	2	no	—
956	C₂×D₄	—	47	1	no	—
957	C₂×D₄	—	47	2	no	—
958	C₂×D₄	—	94	4	no	—
959	C₂×D₄	—	94	2	no	—
960	C₂×D₄	—	94	2	no	—
961	C₂×D₄	—	94	2	no	—
962	C₂×D₄	—	94	2	no	—
963	C₂×D₄	—	94	4	no	—
964	C₂×D₄	—	94	2	no	—
965	C₂×D₄	—	94	2	no	—
966	C₂×D₄	—	94	1	no	—
967	C₂×D₄	—	94	1	no	—
968	C₂×D₄	—	188	4	no	—
969	C₂×D₄	—	188	2	no	—
970	C₂×D₄	—	188	8	no	—
971	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	1	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	—	47	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	—	188	2	no	—
989	C₂²×C₄	—	188	2	no	—
990	C₂²×C₄	—	188	8	no	—
991	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
992	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
993	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
994	Q₁₆	—	2	2	no	—
995	Q₁₆	—	2	2	no	—
996	Q₁₆	—	94	4	no	—
997	Q₁₆	—	188	2	no	—
998	Q₁₆	—	188	2	no	—
999	Q₁₆	—	188	2	no	—
1000	Q₁₆	—	188	2	no	—
1001	SD₁₆	—	2	2	no	—
1002	SD₁₆	—	2	2	no	—
1003	SD₁₆	—	94	4	no	—
1004	SD₁₆	—	188	2	no	—
1005	SD₁₆	—	188	2	no	—
1006	SD₁₆	—	188	2	no	—
1007	SD₁₆	—	188	2	no	—
1008	M₁₆	—	188	2	no	—
1009	M₁₆	—	188	2	no	—
1010	C₂×C₈	—	47	2	no	—
1011	C₂×C₈	—	47	2	no	—
1012	C₂×C₈	—	188	2	no	—
1013	C₂×C₈	—	188	2	no	—
1014	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1015	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1016	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1017	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1018	C₄⋊C₄	—	2	1	no	—
1019	C₄⋊C₄	—	2	1	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	1	no	—
1024	C₄⋊C₄	—	2	1	no	—
1025	C₄⋊C₄	—	2	1	no	—
1026	C₄⋊C₄	—	2	1	no	—
1027	C₄⋊C₄	—	47	1	no	—
1028	C₄⋊C₄	—	47	1	no	—
1029	C₄⋊C₄	—	47	2	no	—
1030	C₄⋊C₄	—	47	2	no	—
1031	C₄⋊C₄	—	94	2	no	—
1032	C₄⋊C₄	—	94	2	no	—
1033	C₄⋊C₄	—	94	2	no	—
1034	C₄⋊C₄	—	94	2	no	—
1035	C₄⋊C₄	—	94	2	no	—
1036	C₄⋊C₄	—	94	2	no	—
1037	C₄⋊C₄	—	94	2	no	—
1038	C₄⋊C₄	—	94	2	no	—
1039	C₄⋊C₄	—	94	2	no	—
1040	C₄⋊C₄	—	94	2	no	—
1041	C₄⋊C₄	—	94	1	no	—
1042	C₄⋊C₄	—	94	1	no	—
1043	C₄⋊C₄	—	94	1	no	—
1044	C₄⋊C₄	—	94	1	no	—
1045	C₄⋊C₄	—	94	1	no	—
1046	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1047	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1048	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1049	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1050	C₂²⋊C₄	—	2	1	no	—
1051	C₂²⋊C₄	—	2	1	no	—
1052	C₂²⋊C₄	—	2	1	no	—
1053	C₂²⋊C₄	—	2	1	no	—
1054	C₂²⋊C₄	—	2	1	no	—
1055	C₂²⋊C₄	—	47	2	no	—
1056	C₂²⋊C₄	—	47	2	no	—
1057	C₂²⋊C₄	—	47	2	no	—
1058	C₂²⋊C₄	—	47	2	no	—
1059	C₂²⋊C₄	—	94	2	no	—
1060	C₂²⋊C₄	—	94	2	no	—
1061	C₂²⋊C₄	—	94	2	no	—
1062	C₂²⋊C₄	—	94	2	no	—
1063	C₂²⋊C₄	—	94	2	no	—
1064	C₂²⋊C₄	—	94	2	no	—
1065	C₂²⋊C₄	—	94	2	no	—
1066	C₂²⋊C₄	—	94	2	no	—
1067	C₂²⋊C₄	—	94	2	no	—
1068	C₂²⋊C₄	—	94	2	no	—
1069	C₂²⋊C₄	—	94	2	no	—
1070	C₄²	—	2	1	no	—
1071	C₄²	—	2	1	no	—
1072	C₄²	—	2	1	no	—
1073	C₄²	—	2	1	no	—
1074	C₄²	—	2	1	no	—
1075	C₄²	—	94	2	no	—
1076	C₄²	D₄×D₄₇	1	1	yes	characteristic
1077	C₄²	D₄×D₄₇	1	1	yes	characteristic
1078	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1079	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1080	C₂³	—	2	1	no	—
1081	C₂³	—	47	2	no	—
1082	C₂³	—	47	2	no	—
1083	C₂³	—	94	4	no	—
1084	C₂³	—	94	2	no	—
1085	C₂³	—	376	2	no	—
1086	C₂³	—	188	2	no	—
1087	C₂³	—	188	2	no	—
1088	C₂³	—	188	4	no	—
1089	C₂³	—	188	4	no	—
1090	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1091	Q₈	—	2	1	no	—
1092	Q₈	—	2	1	no	—
1093	Q₈	—	2	1	no	—
1094	Q₈	—	2	1	no	—
1095	Q₈	—	2	1	no	—
1096	Q₈	—	8	1	no	—
1097	Q₈	—	94	2	no	—
1098	Q₈	—	94	2	no	—
1099	Q₈	—	94	2	no	—
1100	Q₈	—	94	2	no	—
1101	Q₈	—	376	1	no	—
1102	Q₈	—	376	2	no	—
1103	Q₈	—	376	2	no	—
1104	Q₈	—	188	4	no	—
1105	Q₈	#13094070	1	2	yes	—
1106	D₄	—	2	4	no	—
1107	D₄	—	2	1	no	—
1108	D₄	—	47	4	no	—
1109	D₄	—	94	4	no	—
1110	D₄	—	94	2	no	—
1111	D₄	—	94	2	no	—
1112	D₄	—	94	2	no	—
1113	D₄	—	376	1	no	—
1114	D₄	—	376	2	no	—
1115	D₄	—	188	4	no	—
1116	D₄	—	188	4	no	—
1117	D₄	—	188	4	no	—
1118	D₄	—	188	4	no	—
1119	D₄	—	188	4	no	—
1120	D₄	—	188	2	no	—
1121	D₄	#13094070	1	2	yes	—
1122	C₂×C₄	—	2	4	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	4	1	no	—
1134	C₂×C₄	—	4	2	no	—
1135	C₂×C₄	—	8	1	no	—
1136	C₂×C₄	—	47	2	no	—
1137	C₂×C₄	—	47	2	no	—
1138	C₂×C₄	—	94	2	no	—
1139	C₂×C₄	—	94	2	no	—
1140	C₂×C₄	—	94	2	no	—
1141	C₂×C₄	—	94	2	no	—
1142	C₂×C₄	—	94	2	no	—
1143	C₂×C₄	—	94	2	no	—
1144	C₂×C₄	—	94	2	no	—
1145	C₂×C₄	—	376	2	no	—
1146	C₂×C₄	—	376	2	no	—
1147	C₂×C₄	—	376	2	no	—
1148	C₂×C₄	—	376	2	no	—
1149	C₂×C₄	—	188	2	no	—
1150	C₂×C₄	—	188	2	no	—
1151	C₂×C₄	—	188	4	no	—
1152	C₂×C₄	—	188	4	no	—
1153	C₂×C₄	—	188	4	no	—
1154	C₂×C₄	—	188	2	no	—
1155	C₂×C₄	—	188	4	no	—
1156	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1157	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1158	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1159	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1160	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1161	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1162	C₈	—	2	1	no	—
1163	C₈	—	2	1	no	—
1164	C₈	—	2	1	no	—
1165	C₈	—	2	1	no	—
1166	C₈	—	94	2	no	—
1167	C₈	—	94	2	no	—
1168	C₂²	—	2	1	no	—
1169	C₂²	—	2	1	no	—
1170	C₂²	—	2	1	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	47	4	no	—
1175	C₂²	—	94	2	no	—
1176	C₂²	—	94	2	no	—
1177	C₂²	—	94	2	no	—
1178	C₂²	—	94	2	no	—
1179	C₂²	—	94	2	no	—
1180	C₂²	—	376	8	no	—
1181	C₂²	—	376	4	no	—
1182	C₂²	—	188	2	no	—
1183	C₂²	—	188	2	no	—
1184	C₂²	—	188	2	no	—
1185	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1186	C₄	—	2	1	no	—
1187	C₄	—	2	1	no	—
1188	C₄	—	2	1	no	—
1189	C₄	—	2	1	no	—
1190	C₄	—	2	2	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	1	no	—
1196	C₄	—	4	1	no	—
1197	C₄	—	94	2	no	—
1198	C₄	—	94	2	no	—
1199	C₄	—	188	2	no	—
1200	C₄	—	188	2	no	—
1201	C₄	—	188	2	no	—
1202	C₄	#137×D₄₇	1	2	yes	—
1203	C₄	C₂×#13094070	1	1	yes	characteristic
1204	C₄	C₂×#13094070	1	1	yes	characteristic
1205	C₂	—	4	1	no	—
1206	C₂	—	4	2	no	—
1207	C₂	—	94	4	no	—
1208	C₂	—	376	2	no	—
1209	C₂	—	188	2	no	—
1210	C₂	#20257021	1	1	yes	characteristic
1211	C₂	C₂×#137×D₄₇	1	1	yes	characteristic
1212	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×#3107	C₂
socle	C₂²×C₄₇	C₂³×D₄
prime radical	#41×D₁₈₈	C₂
hypercenter	#3107	D₄₇
hypocenter	C₄₇	#61607
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3107

Complements

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

N	H ≅ G/N	type
1. #20257189	C₂	semidirect
3. #20255728	C₂	semidirect
4. #20255706	C₂	semidirect
5. #20255496	C₂	semidirect
6. #20255466	C₂	semidirect
7. #20255266	C₂	semidirect
8. #20255214	C₂	semidirect
9. Q₁₆×D₁₈₈	C₂	semidirect
10. SD₁₆×D₁₈₈	C₂	semidirect
11. #20255055	C₂	semidirect
12. #20255035	C₂	semidirect
13. #20254964	C₂	semidirect
14. #20254904	C₂	semidirect
15. #20254395	C₂	semidirect
16. #20254346	C₂	semidirect
17. #20254222	C₂	semidirect
18. #20254173	C₂	semidirect
19. #20253550	C₂	semidirect
20. #20252645	C₂	semidirect
21. #452×D₄₇	C₂	semidirect
22. #20252422	C₂	semidirect
23. C₄₇×#3107	C₂	semidirect
25. C₂×#13094056	C₂²	semidirect
26. C₂×#13094053	C₂²	semidirect
27. C₂×Q₁₆×D₄₇	C₂²	semidirect
28. C₂×SD₁₆×D₄₇	C₂²	semidirect
29. #15689834	C₂²	semidirect
33. #15689833	C₂²	semidirect
38. Q₈×D₁₈₈	C₂²	semidirect
39. #15689788	C₂²	semidirect
49. #15689680	C₂²	semidirect
54. C₂²⋊Q₈×D₄₇	C₂²	semidirect
55. C₂²⋊Q₈×D₄₇	C₂²	semidirect
59. #15689515	C₂²	semidirect
60. #15689503	C₂²	semidirect
61. #15689496	C₂²	semidirect
62. #15689485	C₂²	semidirect
63. #15689474	C₂²	semidirect
64. #15689470	C₂²	semidirect
65. #15689464	C₂²	semidirect
66. #15689460	C₂²	semidirect
67. #15689455	C₂²	semidirect
68. #15689443	C₂²	semidirect
69. #15689438	C₂²	semidirect
70. #15689418	C₂²	semidirect
71. #15689413	C₂²	semidirect
72. #15689382	C₂²	semidirect
73. #15689380	C₂²	semidirect
74. #15689372	C₂²	semidirect
75. #15689370	C₂²	semidirect
76. #15689365	C₂²	semidirect
77. #15689363	C₂²	semidirect
78. #15689355	C₂²	semidirect
79. #15689353	C₂²	semidirect
80. #15689346	C₂²	semidirect
81. #15689346	C₂²	semidirect
82. #15689333	C₂²	semidirect
83. #15689333	C₂²	semidirect
84. #15689333	C₂²	semidirect
85. #15689328	C₂²	semidirect
86. #15689323	C₂²	semidirect
87. #15689323	C₂²	semidirect
88. #15689288	C₂²	semidirect
89. #15689287	C₂²	semidirect
90. #15689287	C₂²	semidirect
91. #15689286	C₂²	semidirect
93. #15689284	C₂²	semidirect
94. #15689283	C₂²	semidirect
95. #15689283	C₂²	semidirect
96. #15689282	C₂²	semidirect
97. #15689280	C₂²	semidirect
98. #15689280	C₂²	semidirect
99. #15689280	C₂²	semidirect
100. #15689277	C₂²	semidirect
101. #15689275	C₂²	semidirect
102. #15689272	C₂²	semidirect
103. #15689263	C₂²	semidirect
104. #15689263	C₂²	semidirect
105. #15689228	C₂²	semidirect
106. #15689223	C₂²	semidirect
107. #15689202	C₂²	semidirect
108. #15689202	C₂²	semidirect
109. #15689193	C₂²	semidirect
110. #15689193	C₂²	semidirect
113. #15689180	C₂²	semidirect
114. #15689123	C₂²	semidirect
115. #15689121	C₂²	semidirect
116. #103×D₄₇	C₂²	semidirect
117. #102×D₄₇	C₂²	semidirect
118. #15689085	C₂²	semidirect
119. C₂²⋊C₈×D₄₇	C₂²	semidirect
120. C₄₇×#533	C₂²	semidirect
122. C₄₇×#485	C₂²	semidirect
123. C₄₇×#485	C₂²	semidirect
124. C₄₇×#475	C₂²	semidirect
125. C₄₇×#474	C₂²	semidirect
126. C₄₇×#462	C₂²	semidirect
127. C₄₇×#461	C₂²	semidirect
130. C₄×Q₁₆×C₄₇	C₂²	semidirect
131. C₄×Q₁₆×C₄₇	C₂²	semidirect
132. C₄×SD₁₆×C₄₇	C₂²	semidirect
133. C₄×SD₁₆×C₄₇	C₂²	semidirect
134. C₄₇×#431	C₂²	semidirect
533. D₁₈₈	#137	semidirect
618. #3107	D₄₇	semidirect
656. #533	C₂×D₄₇	semidirect
674. #485	C₂×D₄₇	semidirect
675. #485	C₂×D₄₇	semidirect
682. #475	C₂×D₄₇	semidirect
683. #474	C₂×D₄₇	semidirect
697. #462	C₂×D₄₇	semidirect
699. #461	C₂×D₄₇	semidirect
723. C₄×Q₁₆	C₂×D₄₇	semidirect
724. C₄×Q₁₆	C₂×D₄₇	semidirect
725. C₄×SD₁₆	C₂×D₄₇	semidirect
726. C₄×SD₁₆	C₂×D₄₇	semidirect
734. #431	C₂×D₄₇	semidirect
741. C₄₇	#61607	semidirect

Maximal subgroups

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

subgroup	index
#20257189	2
#41×D₁₈₈	2
#20255728	2
#20255706	2
#20255496	2
#20255466	2
#20255266	2
#20255214	2
Q₁₆×D₁₈₈	2
SD₁₆×D₁₈₈	2
#20255055	2
#20255035	2
#20254964	2
#20254904	2
#20254395	2
#20254346	2
#20254222	2
#20254173	2
#20253550	2
#20252645	2
#452×D₄₇	2
#20252422	2
C₄₇×#3107	2
#61607	47