Subgroups — #27101777

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	#20257191	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255726	C₂	1	1	yes	maximal, characteristic, complemented
3	#20255704	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255499	C₂	1	2	yes	maximal, complemented
5	#20255469	C₂	1	2	yes	maximal, complemented
6	#20255264	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255212	C₂	1	1	yes	maximal, characteristic, complemented
8	D₄×#10625337	C₂	1	1	yes	maximal, characteristic, complemented
9	D₄×#10625335	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255054	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255030	C₂	1	1	yes	maximal, characteristic, complemented
12	#20254954	C₂	1	2	yes	maximal, complemented
13	#20254894	C₂	1	2	yes	maximal, complemented
14	#20254399	C₂	1	1	yes	maximal, characteristic, complemented
15	#20254344	C₂	1	1	yes	maximal, characteristic, complemented
16	#20254214	C₂	1	2	yes	maximal, complemented
17	#20254165	C₂	1	2	yes	maximal, complemented
18	#20253550	C₂	1	1	yes	maximal, characteristic, complemented
19	#20253459	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252648	C₂	1	2	yes	maximal, complemented
21	C₂×#15689285	C₂	1	2	yes	maximal, complemented
22	#20252423	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#41×C₄₇	C₂	1	1	yes	maximal, characteristic
24	C₂×#13094054	C₂²	1	2	yes	complemented
25	C₂×#13094054	C₂²	1	2	yes	complemented
26	C₂²×#10625337	C₂²	1	2	yes	complemented
27	C₂²×#10625335	C₂²	1	2	yes	complemented
28	#15689832	—	2	1	no	—
29	#15689832	—	2	2	no	—
30	#15689832	—	2	1	no	—
31	#15689830	C₂²	1	1	yes	characteristic
32	#15689830	C₂²	1	2	yes	complemented
33	#15689830	C₂²	1	1	yes	characteristic, complemented
34	D₄×Dic₉₄	C₂²	1	1	yes	characteristic
35	D₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
36	D₄×Dic₉₄	C₂²	1	2	yes	complemented
37	#15689754	—	2	1	no	—
38	#15689749	—	2	2	no	—
39	#15689680	C₂²	1	1	yes	characteristic, complemented
40	#15689680	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13094003	C₂²	1	2	yes	complemented
42	C₂×#13094003	C₂²	1	2	yes	complemented
43	#15689598	—	2	1	no	—
44	#15689518	C₂²	1	2	yes	complemented
45	#15689502	C₂²	1	1	yes	characteristic, complemented
46	#15689495	C₂²	1	1	yes	characteristic, complemented
47	#15689482	C₂²	1	2	yes	complemented
48	#15689473	C₂²	1	1	yes	characteristic, complemented
49	#15689469	C₂²	1	1	yes	characteristic, complemented
50	#15689464	C₂²	1	1	yes	characteristic, complemented
51	#15689464	C₂²	1	2	yes	complemented
52	#15689464	C₂²	1	1	yes	characteristic, complemented
53	#15689456	C₂²	1	2	yes	complemented
54	#15689451	C₂²	1	2	yes	complemented
55	#15689439	C₂²	1	2	yes	complemented
56	#15689434	C₂²	1	2	yes	complemented
57	#15689418	C₂²	1	1	yes	characteristic, complemented
58	#15689413	C₂²	1	1	yes	characteristic, complemented
59	#15689408	C₂²	1	1	yes	characteristic, complemented
60	#15689403	C₂²	1	1	yes	characteristic, complemented
61	#15689379	C₂²	1	2	yes	complemented
62	#15689379	C₂²	1	2	yes	complemented
63	#15689367	C₂²	1	2	yes	complemented
64	#15689367	C₂²	1	2	yes	complemented
65	#15689362	C₂²	1	2	yes	complemented
66	#15689362	C₂²	1	2	yes	complemented
67	#15689350	C₂²	1	2	yes	complemented
68	#15689350	C₂²	1	2	yes	complemented
69	#15689342	C₂²	1	2	yes	complemented
70	#15689342	C₂²	1	2	yes	complemented
71	#15689333	C₂²	1	1	yes	characteristic, complemented
72	#15689333	C₂²	1	1	yes	characteristic, complemented
73	#15689330	C₂²	1	1	yes	characteristic, complemented
74	#15689330	C₂²	1	1	yes	characteristic, complemented
75	#15689328	C₂²	1	1	yes	characteristic, complemented
76	#15689328	C₂²	1	1	yes	characteristic, complemented
77	#15689320	C₂²	1	1	yes	characteristic, complemented
78	#15689320	C₂²	1	1	yes	characteristic, complemented
79	#15689285	C₂²	1	1	yes	characteristic
80	#15689285	C₂²	1	1	yes	characteristic
81	#15689285	C₂²	1	2	yes	—
82	#15689285	C₂²	1	2	yes	complemented
83	#15689285	C₂²	1	2	yes	complemented
84	#15689285	C₂²	1	2	yes	complemented
85	#15689285	C₂²	1	2	yes	complemented
86	#15689285	C₂²	1	2	yes	complemented
87	#15689285	C₂²	1	2	yes	complemented
88	#15689285	C₂²	1	2	yes	complemented
89	#15689285	C₂²	1	2	yes	complemented
90	#15689279	C₂²	1	2	yes	complemented
91	#15689279	C₂²	1	2	yes	complemented
92	#15689278	C₂²	1	2	yes	complemented
93	#15689278	C₂²	1	2	yes	complemented
94	#15689274	C₂²	1	2	yes	complemented
95	#15689274	C₂²	1	2	yes	complemented
96	#15689261	C₂²	1	2	yes	complemented
97	#15689261	C₂²	1	2	yes	complemented
98	#15689228	C₂²	1	2	yes	complemented
99	#15689223	C₂²	1	2	yes	complemented
100	C₄×#10625337	C₂²	1	1	yes	characteristic, complemented
101	C₄×#10625337	C₂²	1	1	yes	characteristic, complemented
102	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
103	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
104	#15689201	C₂²	1	1	yes	characteristic, complemented
105	#15689201	C₂²	1	1	yes	characteristic, complemented
106	#15689195	C₂²	1	2	yes	complemented
107	#15689195	C₂²	1	2	yes	complemented
108	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
109	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
110	#15689180	C₂²	1	1	yes	characteristic, complemented
111	#15689176	C₂²	1	1	yes	characteristic, complemented
112	#15689124	C₂²	1	2	yes	complemented
113	#15689124	C₂²	1	2	yes	complemented
114	C₂×#13093948	C₂²	1	2	yes	complemented
115	C₂×#13093945	C₂²	1	2	yes	complemented
116	#15689087	C₂²	1	2	yes	complemented
117	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	2	yes	complemented
118	C₂²×#41×C₄₇	C₂²	1	2	yes	—
119	C₄₇×#550	C₂²	1	1	yes	characteristic
120	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
121	C₄₇×#548	C₂²	1	2	yes	—
122	C₄₇×#547	—	2	1	no	—
123	C₄₇×#547	C₂²	1	1	yes	characteristic
124	C₄₇×#546	—	2	2	no	—
125	C₄₇×#546	C₂²	1	2	yes	—
126	D₄²×C₄₇	—	2	1	no	—
127	D₄²×C₄₇	C₂²	1	1	yes	characteristic
128	C₄₇×#532	—	2	1	no	—
129	C₄₇×#532	C₂²	1	1	yes	characteristic
130	C₄₇×#525	—	2	2	no	—
131	C₄₇×#525	C₂²	1	2	yes	—
132	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
133	C₂×C₄×D₄×C₄₇	—	2	1	no	—
134	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
135	C₂²×Dic₉₄	C₂³	1	2	yes	—
136	C₂²×Dic₉₄	C₂³	1	2	yes	—
137	#13094054	—	4	4	no	—
138	#13094054	—	4	4	no	—
139	C₂×#10625337	—	4	4	no	—
140	C₂×#10625337	C₂³	1	1	yes	characteristic
141	C₂×#10625337	C₂³	1	1	yes	characteristic
142	C₂×#10625337	C₂³	1	2	yes	—
143	C₂×#10625337	C₂³	1	2	yes	—
144	C₂×#10625337	C₂³	1	2	yes	—
145	C₂×#10625337	C₂³	1	2	yes	—
146	C₂×#10625337	C₂³	1	2	yes	—
147	C₂×#10625335	—	4	4	no	—
148	C₂×#10625335	C₂³	1	2	yes	—
149	C₂×#10625335	C₂³	1	1	yes	characteristic
150	C₂×#10625335	C₂³	1	1	yes	characteristic
151	C₂×#10625335	C₂³	1	2	yes	—
152	C₂×#10625335	C₂³	1	2	yes	—
153	C₂×#10625335	C₂³	1	2	yes	—
154	C₂×#10625335	C₂³	1	2	yes	—
155	C₂×#10625329	C₂³	1	2	yes	—
156	C₂×#10625329	C₂³	1	2	yes	—
157	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
158	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
159	#13094024	C₂³	1	1	yes	characteristic
160	#13094024	C₂³	1	1	yes	characteristic
161	#13094024	C₂³	1	1	yes	characteristic
162	#13094024	C₂³	1	1	yes	characteristic
163	#13094023	—	2	1	no	—
164	#13094023	—	2	1	no	—
165	#13094023	—	2	2	no	—
166	#13094016	—	2	1	no	—
167	#13094016	—	2	1	no	—
168	#13094015	—	2	1	no	—
169	#13094015	—	2	1	no	—
170	#13094015	—	2	2	no	—
171	#13094003	—	2	1	no	—
172	#13094003	—	2	1	no	—
173	#13094003	—	2	2	no	—
174	#13094003	—	2	2	no	—
175	#13094003	—	2	2	no	—
176	#13094003	—	2	2	no	—
177	#13094003	C₂³	1	2	yes	—
178	#13094003	C₂³	1	2	yes	—
179	#13094003	C₂³	1	2	yes	—
180	#13094003	C₂³	1	2	yes	—
181	#13094003	C₂³	1	1	yes	characteristic
182	#13094003	C₂³	1	1	yes	characteristic
183	#13094003	C₂³	1	2	yes	—
184	#13094001	—	2	2	no	—
185	#13094001	—	2	2	no	—
186	#13094001	—	2	2	no	—
187	#13094001	—	2	2	no	—
188	#13094001	—	2	2	no	—
189	#13094001	—	2	2	no	—
190	#13094001	—	2	2	no	—
191	#13094001	—	2	2	no	—
192	C₄×Dic₉₄	—	2	1	no	—
193	C₄×Dic₉₄	—	2	1	no	—
194	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
195	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
196	C₄×Dic₉₄	C₂³	1	2	yes	—
197	D₄×Dic₄₇	—	2	1	no	—
198	D₄×Dic₄₇	—	2	2	no	—
199	D₄×Dic₄₇	—	2	1	no	—
200	D₄×Dic₄₇	—	2	1	no	—
201	D₄×Dic₄₇	—	2	2	no	—
202	D₄×Dic₄₇	—	2	1	no	—
203	#13093983	—	2	1	no	—
204	#13093983	—	2	1	no	—
205	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
206	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
207	C₂×Dic₄₇⋊C₄	—	2	2	no	—
208	C₂×Dic₄₇⋊C₄	—	2	2	no	—
209	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
210	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
211	#13093957	C₂³	1	1	yes	characteristic
212	#13093957	C₂³	1	1	yes	characteristic
213	#13093957	C₂³	1	2	yes	—
214	#13093955	C₂³	1	2	yes	—
215	#13093955	C₂³	1	1	yes	characteristic
216	#13093955	C₂³	1	1	yes	characteristic
217	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
218	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
219	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
220	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
221	#13093948	C₂³	1	1	yes	characteristic
222	#13093948	C₂³	1	1	yes	characteristic
223	#13093948	C₂³	1	2	yes	—
224	#13093948	C₂³	1	2	yes	—
225	#13093948	C₂³	1	2	yes	—
226	#13093948	C₂³	1	2	yes	—
227	#13093948	C₂³	1	2	yes	—
228	#13093947	C₂³	1	1	yes	characteristic
229	#13093947	C₂³	1	1	yes	characteristic
230	#13093947	C₂³	1	2	yes	—
231	#13093947	C₂³	1	2	yes	—
232	#13093947	C₂³	1	1	yes	characteristic
233	#13093947	C₂³	1	1	yes	characteristic
234	#13093945	C₂³	1	2	yes	—
235	#13093945	C₂³	1	2	yes	—
236	#13093945	C₂³	1	2	yes	—
237	#13093945	C₂³	1	1	yes	characteristic
238	#13093945	C₂³	1	2	yes	—
239	#13093945	C₂³	1	1	yes	characteristic
240	#13093945	C₂³	1	2	yes	—
241	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
242	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
243	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
244	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
245	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
246	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
247	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
248	#13093935	C₂³	1	2	yes	—
249	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
250	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
251	C₂×#41×C₄₇	—	2	2	no	—
252	C₂×#41×C₄₇	—	2	2	no	—
253	C₂×#41×C₄₇	—	4	4	no	—
254	C₂×#41×C₄₇	—	4	4	no	—
255	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
256	C₂×#41×C₄₇	C₂³	1	2	yes	—
257	C₂×#41×C₄₇	C₂³	1	2	yes	—
258	C₂×#41×C₄₇	C₂³	1	2	yes	—
259	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
260	C₂²×D₄×C₄₇	—	2	2	no	—
261	C₂²×D₄×C₄₇	—	2	1	no	—
262	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
263	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
264	C₂³×C₄×C₄₇	—	2	2	no	—
265	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
266	C₄⋊Q₈×C₄₇	—	2	1	no	—
267	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
268	#127×C₄₇	—	2	1	no	—
269	#127×C₄₇	C₂³	1	1	yes	characteristic
270	#124×C₄₇	—	2	2	no	—
271	#124×C₄₇	C₂³	1	2	yes	—
272	#123×C₄₇	—	2	2	no	—
273	#123×C₄₇	—	2	2	no	—
274	#123×C₄₇	—	2	2	no	—
275	C₂²⋊Q₈×C₄₇	—	2	2	no	—
276	C₂²⋊Q₈×C₄₇	—	2	2	no	—
277	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
278	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
279	#121×C₄₇	—	2	2	no	—
280	#121×C₄₇	—	2	1	no	—
281	#121×C₄₇	—	2	1	no	—
282	#121×C₄₇	—	2	1	no	—
283	#121×C₄₇	—	2	1	no	—
284	#121×C₄₇	—	2	2	no	—
285	#121×C₄₇	—	2	2	no	—
286	#121×C₄₇	C₂³	1	2	yes	—
287	#121×C₄₇	C₂³	1	2	yes	—
288	#120×C₄₇	—	2	2	no	—
289	#120×C₄₇	—	2	2	no	—
290	#120×C₄₇	—	2	2	no	—
291	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
292	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₇	—	2	1	no	—
294	C₄×D₄×C₄₇	—	2	2	no	—
295	C₄×D₄×C₄₇	—	2	1	no	—
296	C₄×D₄×C₄₇	—	2	1	no	—
297	C₄×D₄×C₄₇	—	2	2	no	—
298	C₄×D₄×C₄₇	—	2	1	no	—
299	C₄×D₄×C₄₇	—	2	2	no	—
300	C₄×D₄×C₄₇	—	2	1	no	—
301	C₄×D₄×C₄₇	—	2	1	no	—
302	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
303	C₄×D₄×C₄₇	D₄	1	2	yes	—
304	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
305	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
306	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
307	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
308	C₄×D₄×C₄₇	C₂³	1	2	yes	—
309	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
310	#117×C₄₇	—	2	1	no	—
311	#117×C₄₇	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
313	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
315	C₂×C₂²⋊C₄×C₄₇	D₄	1	2	yes	—
316	C₂×C₄²×C₄₇	—	2	1	no	—
317	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
318	C₂⁴×C₄₇	—	2	2	no	—
319	C₂⁴×C₄₇	C₂×D₄	1	2	yes	—
320	#41×C₄₇	—	2	2	no	—
321	#41×C₄₇	—	2	2	no	—
322	#41×C₄₇	—	2	4	no	—
323	#41×C₄₇	—	2	4	no	—
324	#41×C₄₇	—	4	2	no	—
325	#41×C₄₇	—	4	2	no	—
326	#41×C₄₇	—	4	2	no	—
327	#41×C₄₇	—	4	2	no	—
328	#41×C₄₇	—	4	8	no	—
329	#41×C₄₇	—	4	8	no	—
330	C₂×Q₈×C₄₇	—	2	2	no	—
331	C₂×Q₈×C₄₇	—	2	4	no	—
332	C₂×Q₈×C₄₇	—	4	2	no	—
333	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₄₇	—	2	1	no	—
336	C₂×D₄×C₄₇	—	2	4	no	—
337	C₂×D₄×C₄₇	—	2	4	no	—
338	C₂×D₄×C₄₇	—	2	2	no	—
339	C₂×D₄×C₄₇	—	2	2	no	—
340	C₂×D₄×C₄₇	—	2	2	no	—
341	C₂×D₄×C₄₇	—	2	2	no	—
342	C₂×D₄×C₄₇	—	2	2	no	—
343	C₂×D₄×C₄₇	—	2	1	no	—
344	C₂×D₄×C₄₇	—	2	2	no	—
345	C₂×D₄×C₄₇	—	2	1	no	—
346	C₂×D₄×C₄₇	—	4	2	no	—
347	C₂×D₄×C₄₇	—	4	8	no	—
348	C₂×D₄×C₄₇	—	4	4	no	—
349	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
351	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
352	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
353	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₄₇	—	2	1	no	—
355	C₂²×C₄×C₄₇	—	2	2	no	—
356	C₂²×C₄×C₄₇	—	2	1	no	—
357	C₂²×C₄×C₄₇	—	2	2	no	—
358	C₂²×C₄×C₄₇	—	2	2	no	—
359	C₂²×C₄×C₄₇	—	2	2	no	—
360	C₂²×C₄×C₄₇	—	2	1	no	—
361	C₂²×C₄×C₄₇	—	4	2	no	—
362	C₂²×C₄×C₄₇	—	4	2	no	—
363	C₂²×C₄×C₄₇	—	4	8	no	—
364	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
367	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
368	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
371	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
372	C₂²×Dic₄₇	—	2	2	no	—
373	C₂²×Dic₄₇	—	2	2	no	—
374	C₂²×Dic₄₇	—	2	2	no	—
375	C₂²×Dic₄₇	—	2	2	no	—
376	C₂×Dic₉₄	—	2	1	no	—
377	C₂×Dic₉₄	—	2	1	no	—
378	C₂×Dic₉₄	—	2	2	no	—
379	C₂×Dic₉₄	—	2	2	no	—
380	C₂×Dic₉₄	—	4	2	no	—
381	C₂×Dic₉₄	—	4	2	no	—
382	C₂×Dic₉₄	—	4	2	no	—
383	C₂×Dic₉₄	—	4	2	no	—
384	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₉₄	C₂⁴	1	2	yes	—
386	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
387	C₄⋊C₄×C₄₇	—	2	1	no	—
388	C₄⋊C₄×C₄₇	—	2	2	no	—
389	C₄⋊C₄×C₄₇	—	2	1	no	—
390	C₄⋊C₄×C₄₇	—	2	1	no	—
391	C₄⋊C₄×C₄₇	—	2	1	no	—
392	C₄⋊C₄×C₄₇	—	2	2	no	—
393	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
394	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
395	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
396	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₂²⋊C₄×C₄₇	—	2	2	no	—
399	C₂²⋊C₄×C₄₇	—	2	1	no	—
400	C₂²⋊C₄×C₄₇	—	2	2	no	—
401	C₂²⋊C₄×C₄₇	—	2	2	no	—
402	C₂²⋊C₄×C₄₇	—	2	2	no	—
403	C₂²⋊C₄×C₄₇	—	2	1	no	—
404	C₂²⋊C₄×C₄₇	—	2	1	no	—
405	C₂²⋊C₄×C₄₇	—	2	2	no	—
406	C₂²⋊C₄×C₄₇	—	2	2	no	—
407	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
408	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
409	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
410	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
411	C₄²×C₄₇	—	2	1	no	—
412	C₄²×C₄₇	—	2	1	no	—
413	C₄²×C₄₇	—	2	1	no	—
414	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
415	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
416	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
417	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²⋊Dic₄₇	—	2	1	no	—
419	C₂²⋊Dic₄₇	—	2	2	no	—
420	C₂²⋊Dic₄₇	—	2	1	no	—
421	C₂²⋊Dic₄₇	—	2	2	no	—
422	C₂²⋊Dic₄₇	—	2	2	no	—
423	C₂²⋊Dic₄₇	—	2	2	no	—
424	C₂²⋊Dic₄₇	—	2	2	no	—
425	#10625337	—	2	2	no	—
426	#10625337	—	2	4	no	—
427	#10625337	—	2	2	no	—
428	#10625337	—	4	2	no	—
429	#10625337	—	4	2	no	—
430	#10625337	—	4	2	no	—
431	#10625337	—	4	2	no	—
432	#10625335	—	2	2	no	—
433	#10625335	—	2	4	no	—
434	#10625335	—	2	2	no	—
435	#10625335	—	4	2	no	—
436	#10625335	—	4	2	no	—
437	#10625335	—	4	2	no	—
438	#10625335	—	4	2	no	—
439	C₄⋊Dic₄₇	—	2	2	no	—
440	C₄⋊Dic₄₇	—	2	2	no	—
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	1	no	—
446	C₄⋊Dic₄₇	—	2	1	no	—
447	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
448	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
449	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
450	Dic₄₇⋊C₄	—	2	1	no	—
451	Dic₄₇⋊C₄	—	2	2	no	—
452	Dic₄₇⋊C₄	—	2	1	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	Dic₄₇⋊C₄	—	2	1	no	—
459	Dic₄₇⋊C₄	—	2	1	no	—
460	C₄×Dic₄₇	—	2	2	no	—
461	C₄×Dic₄₇	—	2	1	no	—
462	C₄×Dic₄₇	—	2	1	no	—
463	#10625329	—	4	2	no	—
464	#10625329	—	4	2	no	—
465	C₂×C₄₇⋊C₈	—	4	2	no	—
466	C₂×C₄₇⋊C₈	—	4	2	no	—
467	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
468	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
469	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
470	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
471	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
472	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
473	C₂³×C₄₇	—	2	1	no	—
474	C₂³×C₄₇	—	2	4	no	—
475	C₂³×C₄₇	—	2	2	no	—
476	C₂³×C₄₇	—	4	2	no	—
477	C₂³×C₄₇	—	4	2	no	—
478	C₂³×C₄₇	—	4	4	no	—
479	C₂³×C₄₇	—	4	4	no	—
480	C₂³×C₄₇	—	8	2	no	—
481	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
482	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
483	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
484	Q₈×C₄₇	—	2	1	no	—
485	Q₈×C₄₇	—	2	2	no	—
486	Q₈×C₄₇	—	2	2	no	—
487	Q₈×C₄₇	—	4	4	no	—
488	Q₈×C₄₇	H(5,𝔽₂)	1	2	yes	—
489	D₄×C₄₇	—	2	4	no	—
490	D₄×C₄₇	—	2	4	no	—
491	D₄×C₄₇	—	2	2	no	—
492	D₄×C₄₇	—	2	1	no	—
493	D₄×C₄₇	—	2	2	no	—
494	D₄×C₄₇	—	2	2	no	—
495	D₄×C₄₇	—	4	4	no	—
496	D₄×C₄₇	—	4	4	no	—
497	D₄×C₄₇	—	4	4	no	—
498	D₄×C₄₇	—	4	4	no	—
499	D₄×C₄₇	—	4	4	no	—
500	D₄×C₄₇	—	4	2	no	—
501	D₄×C₄₇	—	8	1	no	—
502	D₄×C₄₇	—	8	2	no	—
503	D₄×C₄₇	#137	1	4	yes	complemented
504	D₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
505	C₂×C₄×C₄₇	—	2	4	no	—
506	C₂×C₄×C₄₇	—	2	1	no	—
507	C₂×C₄×C₄₇	—	2	2	no	—
508	C₂×C₄×C₄₇	—	2	2	no	—
509	C₂×C₄×C₄₇	—	2	2	no	—
510	C₂×C₄×C₄₇	—	2	2	no	—
511	C₂×C₄×C₄₇	—	2	2	no	—
512	C₂×C₄×C₄₇	—	2	1	no	—
513	C₂×C₄×C₄₇	—	2	1	no	—
514	C₂×C₄×C₄₇	—	2	1	no	—
515	C₂×C₄×C₄₇	—	2	1	no	—
516	C₂×C₄×C₄₇	—	2	2	no	—
517	C₂×C₄×C₄₇	—	4	2	no	—
518	C₂×C₄×C₄₇	—	4	2	no	—
519	C₂×C₄×C₄₇	—	4	2	no	—
520	C₂×C₄×C₄₇	—	4	1	no	—
521	C₂×C₄×C₄₇	—	4	4	no	—
522	C₂×C₄×C₄₇	—	4	4	no	—
523	C₂×C₄×C₄₇	—	4	4	no	—
524	C₂×C₄×C₄₇	—	4	4	no	—
525	C₂×C₄×C₄₇	—	4	2	no	—
526	C₂×C₄×C₄₇	—	8	1	no	—
527	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
532	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
533	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
535	C₂×Dic₄₇	—	2	2	no	—
536	C₂×Dic₄₇	—	2	1	no	—
537	C₂×Dic₄₇	—	2	1	no	—
538	C₂×Dic₄₇	—	2	1	no	—
539	C₂×Dic₄₇	—	2	2	no	—
540	C₂×Dic₄₇	—	2	1	no	—
541	C₂×Dic₄₇	—	8	2	no	—
542	C₂×Dic₄₇	—	8	2	no	—
543	C₂×Dic₄₇	—	8	2	no	—
544	C₂×Dic₄₇	—	8	2	no	—
545	Dic₉₄	—	2	1	no	—
546	Dic₉₄	—	2	2	no	—
547	Dic₉₄	—	2	1	no	—
548	Dic₉₄	—	2	1	no	—
549	Dic₉₄	—	2	2	no	—
550	Dic₉₄	—	2	1	no	—
551	Dic₉₄	—	8	1	no	—
552	Dic₉₄	—	8	1	no	—
553	Dic₉₄	—	8	2	no	—
554	Dic₉₄	—	8	2	no	—
555	C₄₇⋊C₈	—	2	1	no	—
556	C₄₇⋊C₈	—	2	1	no	—
557	C₄₇⋊C₈	—	2	2	no	—
558	C₄₇⋊C₈	—	2	2	no	—
559	C₄₇⋊C₈	—	2	1	no	—
560	C₄₇⋊C₈	—	2	1	no	—
561	#61607	—	47	1	no	maximal, Sylow
562	C₂²×C₄₇	—	2	2	no	—
563	C₂²×C₄₇	—	2	2	no	—
564	C₂²×C₄₇	—	2	2	no	—
565	C₂²×C₄₇	—	2	1	no	—
566	C₂²×C₄₇	—	2	2	no	—
567	C₂²×C₄₇	—	2	1	no	—
568	C₂²×C₄₇	—	2	2	no	—
569	C₂²×C₄₇	—	2	1	no	—
570	C₂²×C₄₇	—	2	2	no	—
571	C₂²×C₄₇	—	4	1	no	—
572	C₂²×C₄₇	—	4	1	no	—
573	C₂²×C₄₇	—	4	2	no	—
574	C₂²×C₄₇	—	4	2	no	—
575	C₂²×C₄₇	—	4	2	no	—
576	C₂²×C₄₇	—	8	4	no	—
577	C₂²×C₄₇	—	8	8	no	—
578	C₂²×C₄₇	C₂×#137	1	4	yes	—
579	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
580	C₄×C₄₇	—	2	1	no	—
581	C₄×C₄₇	—	2	1	no	—
582	C₄×C₄₇	—	2	2	no	—
583	C₄×C₄₇	—	2	2	no	—
584	C₄×C₄₇	—	2	1	no	—
585	C₄×C₄₇	—	2	2	no	—
586	C₄×C₄₇	—	2	1	no	—
587	C₄×C₄₇	—	4	1	no	—
588	C₄×C₄₇	—	4	2	no	—
589	C₄×C₄₇	—	4	1	no	—
590	C₄×C₄₇	C₂×#137	1	2	yes	—
591	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
592	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
593	Dic₄₇	—	4	1	no	—
594	Dic₄₇	—	4	1	no	—
595	Dic₄₇	—	4	2	no	—
596	Dic₄₇	—	4	1	no	—
597	Dic₄₇	—	4	2	no	—
598	Dic₄₇	—	4	1	no	—
599	#3501	—	47	1	no	—
600	D₄×#41	D₄₇	1	1	yes	characteristic
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	—	47	1	no	—
619	#3007	—	47	2	no	—
620	C₂×#452	—	47	2	no	—
621	#2974	—	47	1	no	—
622	C₂×C₄₇	—	2	4	no	—
623	C₂×C₄₇	—	4	2	no	—
624	C₂×C₄₇	—	4	1	no	—
625	C₂×C₄₇	—	4	2	no	—
626	C₂×C₄₇	—	8	2	no	—
627	C₂×C₄₇	#3484	1	1	yes	characteristic
628	C₂×C₄₇	C₂²×#137	1	1	yes	characteristic
629	C₂×C₄₇	#3584	1	1	yes	characteristic
630	C₂²×#41	C₂×D₄₇	1	2	yes	—
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	1	no	—
636	#554	—	47	1	no	—
637	#554	—	47	2	no	—
638	#554	—	94	1	no	—
639	#554	—	94	2	no	—
640	#554	—	94	1	no	—
641	#550	C₂×D₄₇	1	1	yes	characteristic
642	D₄×Q₈	—	47	1	no	—
643	D₄×Q₈	—	47	2	no	—
644	D₄×Q₈	—	47	1	no	—
645	D₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
646	#548	C₂×D₄₇	1	2	yes	—
647	#547	—	2	1	no	—
648	#547	C₂×D₄₇	1	1	yes	characteristic
649	#546	—	2	2	no	—
650	#546	C₂×D₄₇	1	2	yes	—
651	D₄²	—	2	1	no	—
652	D₄²	C₂×D₄₇	1	1	yes	characteristic
653	#544	—	94	1	no	—
654	#543	—	94	2	no	—
655	#533	—	47	1	no	—
656	#533	—	47	1	no	—
657	#532	—	2	1	no	—
658	#532	C₂×D₄₇	1	1	yes	characteristic
659	#525	—	2	2	no	—
660	#525	C₂×D₄₇	1	2	yes	—
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	—	2	1	no	—
666	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
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	1	no	—
674	#485	—	47	1	no	—
675	#485	—	47	2	no	—
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	—	47	1	no	—
683	#474	—	47	1	no	—
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	—	47	1	no	—
698	#461	—	47	1	no	—
699	#461	—	47	1	no	—
700	#460	—	47	1	no	—
701	#460	—	47	1	no	—
702	#452	—	47	2	no	—
703	#452	—	47	2	no	—
704	#452	—	47	1	no	—
705	#452	—	47	1	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	—	47	2	no	—
712	#452	—	47	2	no	—
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	—	47	1	no	—
724	C₄×Q₁₆	—	47	1	no	—
725	C₄×SD₁₆	—	47	1	no	—
726	C₄×SD₁₆	—	47	1	no	—
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	—	47	1	no	—
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	—	2	2	no	—
743	C₂×#41	—	2	2	no	—
744	C₂×#41	—	4	4	no	—
745	C₂×#41	—	4	4	no	—
746	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
747	C₂×#41	C₂²×D₄₇	1	2	yes	—
748	C₂×#41	C₂²×D₄₇	1	2	yes	—
749	C₂×#41	C₂²×D₄₇	1	2	yes	—
750	C₂²×Q₈	—	47	2	no	—
751	C₂²×Q₈	—	47	2	no	—
752	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
753	C₂²×D₄	—	2	2	no	—
754	C₂²×D₄	—	2	1	no	—
755	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
756	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
757	C₂³×C₄	—	2	2	no	—
758	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
759	#137	—	188	4	no	—
760	#137	—	188	4	no	—
761	C₂×Q₁₆	—	47	1	no	—
762	C₂×Q₁₆	—	47	2	no	—
763	C₂×Q₁₆	—	47	1	no	—
764	C₂×Q₁₆	—	47	2	no	—
765	C₂×Q₁₆	—	47	2	no	—
766	C₂×Q₁₆	—	47	2	no	—
767	C₂×Q₁₆	—	47	2	no	—
768	C₂×Q₁₆	—	188	4	no	—
769	C₂×SD₁₆	—	47	1	no	—
770	C₂×SD₁₆	—	47	2	no	—
771	C₂×SD₁₆	—	47	1	no	—
772	C₂×SD₁₆	—	47	2	no	—
773	C₂×SD₁₆	—	47	2	no	—
774	C₂×SD₁₆	—	47	2	no	—
775	C₂×SD₁₆	—	47	2	no	—
776	C₂×SD₁₆	—	188	4	no	—
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	—	2	1	no	—
782	C₄⋊Q₈	—	47	1	no	—
783	C₄⋊Q₈	—	47	1	no	—
784	C₄⋊Q₈	—	47	1	no	—
785	C₄⋊Q₈	—	47	1	no	—
786	C₄⋊Q₈	—	94	1	no	—
787	C₄⋊Q₈	—	94	1	no	—
788	C₄⋊Q₈	—	94	2	no	—
789	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
790	#127	—	2	1	no	—
791	#127	C₂²×D₄₇	1	1	yes	characteristic
792	#125	—	94	1	no	—
793	#125	—	94	1	no	—
794	#125	—	94	2	no	—
795	#125	—	94	1	no	—
796	#125	—	94	1	no	—
797	#124	—	2	2	no	—
798	#124	C₂²×D₄₇	1	2	yes	—
799	#123	—	2	2	no	—
800	#123	—	2	2	no	—
801	#123	—	2	2	no	—
802	C₂²⋊Q₈	—	2	2	no	—
803	C₂²⋊Q₈	—	2	2	no	—
804	C₂²⋊Q₈	—	47	1	no	—
805	C₂²⋊Q₈	—	47	2	no	—
806	C₂²⋊Q₈	—	47	1	no	—
807	C₂²⋊Q₈	—	47	2	no	—
808	C₂²⋊Q₈	—	47	2	no	—
809	C₂²⋊Q₈	—	47	2	no	—
810	C₂²⋊Q₈	—	47	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	1	no	—
816	C₂²⋊Q₈	—	94	1	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	2	no	—
825	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
826	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
827	#121	—	2	2	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	C₂²×D₄₇	1	2	yes	—
835	#121	C₂²×D₄₇	1	2	yes	—
836	#120	—	2	2	no	—
837	#120	—	2	2	no	—
838	#120	—	2	2	no	—
839	C₄×Q₈	—	47	1	no	—
840	C₄×Q₈	—	47	1	no	—
841	C₄×Q₈	—	47	2	no	—
842	C₄×Q₈	—	94	1	no	—
843	C₄×Q₈	—	94	1	no	—
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	2	no	—
848	C₄×D₄	—	2	1	no	—
849	C₄×D₄	—	2	1	no	—
850	C₄×D₄	—	2	2	no	—
851	C₄×D₄	—	2	1	no	—
852	C₄×D₄	—	2	2	no	—
853	C₄×D₄	—	2	1	no	—
854	C₄×D₄	—	2	1	no	—
855	C₄×D₄	—	94	2	no	—
856	C₄×D₄	—	94	1	no	—
857	C₄×D₄	—	94	1	no	—
858	C₄×D₄	—	94	2	no	—
859	C₄×D₄	—	94	1	no	—
860	C₄×D₄	—	94	1	no	—
861	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
862	C₄×D₄	C₂²⋊D₄₇	1	2	yes	—
863	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
864	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
865	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
866	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
867	C₄×D₄	C₂²×D₄₇	1	2	yes	—
868	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
869	#117	—	2	1	no	—
870	#117	—	94	1	no	—
871	#117	—	94	1	no	—
872	#117	C₂²×D₄₇	1	1	yes	characteristic
873	C₂×C₄⋊C₄	—	2	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	C₂²⋊D₄₇	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	—	2	2	no	—
880	C₂×C₂²⋊C₄	—	94	2	no	—
881	C₂×C₂²⋊C₄	—	94	2	no	—
882	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	2	yes	—
883	C₂×C₄²	—	2	1	no	—
884	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
885	#107	—	47	1	no	—
886	#107	—	47	1	no	—
887	#107	—	47	2	no	—
888	#106	—	47	1	no	—
889	#106	—	47	1	no	—
890	#106	—	47	2	no	—
891	C₄⋊C₈	—	47	1	no	—
892	C₄⋊C₈	—	47	1	no	—
893	C₄⋊C₈	—	47	1	no	—
894	C₄⋊C₈	—	47	1	no	—
895	#103	—	47	1	no	—
896	#103	—	47	2	no	—
897	#103	—	47	2	no	—
898	#103	—	47	2	no	—
899	#103	—	47	1	no	—
900	#103	—	47	2	no	—
901	#103	—	47	2	no	—
902	#103	—	47	1	no	—
903	#103	—	47	1	no	—
904	#103	—	47	1	no	—
905	#103	—	47	1	no	—
906	#103	—	47	2	no	—
907	#103	—	47	2	no	—
908	#102	—	47	1	no	—
909	#102	—	47	2	no	—
910	#102	—	47	2	no	—
911	#102	—	47	2	no	—
912	#102	—	47	1	no	—
913	#102	—	47	2	no	—
914	#102	—	47	2	no	—
915	C₂²⋊C₈	—	47	1	no	—
916	C₂²⋊C₈	—	47	2	no	—
917	C₂²⋊C₈	—	47	2	no	—
918	C₂²⋊C₈	—	47	2	no	—
919	C₂²⋊C₈	—	47	1	no	—
920	C₂²⋊C₈	—	47	2	no	—
921	C₂²⋊C₈	—	47	2	no	—
922	#97	—	47	2	no	—
923	C₄×C₈	—	47	1	no	—
924	C₄×C₈	—	47	1	no	—
925	C₂⁴	—	2	2	no	—
926	C₂⁴	C₂×C₂²⋊D₄₇	1	2	yes	—
927	#41	—	2	2	no	—
928	#41	—	2	2	no	—
929	#41	—	2	4	no	—
930	#41	—	2	4	no	—
931	#41	—	4	2	no	—
932	#41	—	4	2	no	—
933	#41	—	4	2	no	—
934	#41	—	4	2	no	—
935	#41	—	4	8	no	—
936	#41	—	4	8	no	—
937	C₂×Q₈	—	2	2	no	—
938	C₂×Q₈	—	2	4	no	—
939	C₂×Q₈	—	4	2	no	—
940	C₂×Q₈	—	47	1	no	—
941	C₂×Q₈	—	47	2	no	—
942	C₂×Q₈	—	47	1	no	—
943	C₂×Q₈	—	94	1	no	—
944	C₂×Q₈	—	94	1	no	—
945	C₂×Q₈	—	94	2	no	—
946	C₂×Q₈	—	94	2	no	—
947	C₂×Q₈	—	188	2	no	—
948	C₂×Q₈	—	188	2	no	—
949	C₂×Q₈	—	188	2	no	—
950	C₂×Q₈	—	188	2	no	—
951	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
952	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
953	C₂×D₄	—	2	1	no	—
954	C₂×D₄	—	2	4	no	—
955	C₂×D₄	—	2	4	no	—
956	C₂×D₄	—	2	2	no	—
957	C₂×D₄	—	2	2	no	—
958	C₂×D₄	—	2	2	no	—
959	C₂×D₄	—	2	2	no	—
960	C₂×D₄	—	2	2	no	—
961	C₂×D₄	—	2	1	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	1	no	—
964	C₂×D₄	—	4	2	no	—
965	C₂×D₄	—	4	8	no	—
966	C₂×D₄	—	4	4	no	—
967	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
968	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
969	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
970	C₂×D₄	C₂³×D₄₇	1	2	yes	—
971	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	—	2	1	no	—
979	C₂²×C₄	—	4	2	no	—
980	C₂²×C₄	—	4	2	no	—
981	C₂²×C₄	—	4	8	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	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
987	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
988	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
989	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
990	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
991	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
993	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
994	Q₁₆	—	94	2	no	—
995	Q₁₆	—	94	4	no	—
996	Q₁₆	—	94	2	no	—
997	Q₁₆	—	188	2	no	—
998	Q₁₆	—	188	2	no	—
999	Q₁₆	—	188	2	no	—
1000	Q₁₆	—	188	2	no	—
1001	SD₁₆	—	94	2	no	—
1002	SD₁₆	—	94	4	no	—
1003	SD₁₆	—	94	2	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	1	no	—
1011	C₂×C₈	—	47	1	no	—
1012	C₂×C₈	—	47	1	no	—
1013	C₂×C₈	—	47	1	no	—
1014	C₂×C₈	—	47	2	no	—
1015	C₂×C₈	—	47	2	no	—
1016	C₂×C₈	—	188	2	no	—
1017	C₂×C₈	—	188	2	no	—
1018	C₄⋊C₄	—	2	1	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	47	1	no	—
1025	C₄⋊C₄	—	47	2	no	—
1026	C₄⋊C₄	—	47	1	no	—
1027	C₄⋊C₄	—	94	1	no	—
1028	C₄⋊C₄	—	94	2	no	—
1029	C₄⋊C₄	—	94	1	no	—
1030	C₄⋊C₄	—	94	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	1	no	—
1036	C₄⋊C₄	—	94	1	no	—
1037	C₄⋊C₄	—	94	2	no	—
1038	C₄⋊C₄	—	94	2	no	—
1039	C₄⋊C₄	—	94	1	no	—
1040	C₄⋊C₄	—	94	1	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	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1046	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1047	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1048	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1049	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	1	no	—
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	2	no	—
1055	C₂²⋊C₄	—	2	1	no	—
1056	C₂²⋊C₄	—	2	1	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	94	1	no	—
1060	C₂²⋊C₄	—	94	2	no	—
1061	C₂²⋊C₄	—	94	1	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	C₂×C₂²⋊D₄₇	1	2	yes	—
1067	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1068	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1069	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1070	C₄²	—	2	1	no	—
1071	C₄²	—	2	1	no	—
1072	C₄²	—	2	1	no	—
1073	C₄²	—	94	2	no	—
1074	C₄²	—	94	1	no	—
1075	C₄²	—	94	1	no	—
1076	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1077	C₄²	C₂×C₂²⋊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	—	2	4	no	—
1082	C₂³	—	2	2	no	—
1083	C₂³	—	4	2	no	—
1084	C₂³	—	4	2	no	—
1085	C₂³	—	4	4	no	—
1086	C₂³	—	4	4	no	—
1087	C₂³	—	8	2	no	—
1088	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1089	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1090	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1091	Q₈	—	2	1	no	—
1092	Q₈	—	2	2	no	—
1093	Q₈	—	2	2	no	—
1094	Q₈	—	4	4	no	—
1095	Q₈	—	94	1	no	—
1096	Q₈	—	94	2	no	—
1097	Q₈	—	94	1	no	—
1098	Q₈	—	94	1	no	—
1099	Q₈	—	94	2	no	—
1100	Q₈	—	94	1	no	—
1101	Q₈	—	376	1	no	—
1102	Q₈	—	376	1	no	—
1103	Q₈	—	376	2	no	—
1104	Q₈	—	376	2	no	—
1105	Q₈	#13094069	1	2	yes	—
1106	D₄	—	2	4	no	—
1107	D₄	—	2	4	no	—
1108	D₄	—	2	2	no	—
1109	D₄	—	2	1	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	4	4	no	—
1113	D₄	—	4	4	no	—
1114	D₄	—	4	4	no	—
1115	D₄	—	4	4	no	—
1116	D₄	—	4	4	no	—
1117	D₄	—	4	2	no	—
1118	D₄	—	8	1	no	—
1119	D₄	—	8	2	no	—
1120	D₄	#13094054	1	4	yes	complemented
1121	D₄	#13094069	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	2	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	2	2	no	—
1128	C₂×C₄	—	2	2	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	—	2	2	no	—
1134	C₂×C₄	—	4	2	no	—
1135	C₂×C₄	—	4	2	no	—
1136	C₂×C₄	—	4	2	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	4	no	—
1139	C₂×C₄	—	4	4	no	—
1140	C₂×C₄	—	4	4	no	—
1141	C₂×C₄	—	4	4	no	—
1142	C₂×C₄	—	4	2	no	—
1143	C₂×C₄	—	8	1	no	—
1144	C₂×C₄	—	94	2	no	—
1145	C₂×C₄	—	94	1	no	—
1146	C₂×C₄	—	94	1	no	—
1147	C₂×C₄	—	94	1	no	—
1148	C₂×C₄	—	94	2	no	—
1149	C₂×C₄	—	94	1	no	—
1150	C₂×C₄	—	376	2	no	—
1151	C₂×C₄	—	376	2	no	—
1152	C₂×C₄	—	376	2	no	—
1153	C₂×C₄	—	376	2	no	—
1154	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1155	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1156	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1157	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1158	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1159	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1160	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1161	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1162	C₈	—	94	1	no	—
1163	C₈	—	94	1	no	—
1164	C₈	—	94	2	no	—
1165	C₈	—	94	2	no	—
1166	C₈	—	94	1	no	—
1167	C₈	—	94	1	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	2	no	—
1170	C₂²	—	2	1	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	2	1	no	—
1173	C₂²	—	2	2	no	—
1174	C₂²	—	2	1	no	—
1175	C₂²	—	2	2	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	4	1	no	—
1178	C₂²	—	4	1	no	—
1179	C₂²	—	4	2	no	—
1180	C₂²	—	4	2	no	—
1181	C₂²	—	4	2	no	—
1182	C₂²	—	8	4	no	—
1183	C₂²	—	8	8	no	—
1184	C₂²	C₂×#13094054	1	4	yes	—
1185	C₂²	C₂³×C₂²⋊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	—	2	2	no	—
1192	C₄	—	2	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	2	no	—
1196	C₄	—	188	1	no	—
1197	C₄	—	188	2	no	—
1198	C₄	—	188	1	no	—
1199	C₄	—	188	1	no	—
1200	C₄	—	188	2	no	—
1201	C₄	—	188	1	no	—
1202	C₄	C₂×#13094054	1	2	yes	—
1203	C₄	C₂×#13094069	1	1	yes	characteristic
1204	C₄	C₂×#13094069	1	1	yes	characteristic
1205	C₂	—	2	4	no	—
1206	C₂	—	4	1	no	—
1207	C₂	—	4	2	no	—
1208	C₂	—	4	2	no	—
1209	C₂	—	8	2	no	—
1210	C₂	#20257023	1	1	yes	characteristic
1211	C₂	C₂²×#13094054	1	1	yes	characteristic
1212	C₂	#20258159	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting, prime radical	D₄×#41×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	D₄×#41	D₄₇
hypocenter	C₄₇	#61607
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. #20257191	C₂	semidirect
2. #20255726	C₂	semidirect
3. #20255704	C₂	semidirect
4. #20255499	C₂	semidirect
5. #20255469	C₂	semidirect
6. #20255264	C₂	semidirect
7. #20255212	C₂	semidirect
8. D₄×#10625337	C₂	semidirect
9. D₄×#10625335	C₂	semidirect
10. #20255054	C₂	semidirect
11. #20255030	C₂	semidirect
12. #20254954	C₂	semidirect
13. #20254894	C₂	semidirect
14. #20254399	C₂	semidirect
15. #20254344	C₂	semidirect
16. #20254214	C₂	semidirect
17. #20254165	C₂	semidirect
18. #20253550	C₂	semidirect
19. #20253459	C₂	semidirect
20. #20252648	C₂	semidirect
21. C₂×#15689285	C₂	semidirect
22. #20252423	C₂	semidirect
24. C₂×#13094054	C₂²	semidirect
25. C₂×#13094054	C₂²	semidirect
26. C₂²×#10625337	C₂²	semidirect
27. C₂²×#10625335	C₂²	semidirect
32. #15689830	C₂²	semidirect
33. #15689830	C₂²	semidirect
35. D₄×Dic₉₄	C₂²	semidirect
36. D₄×Dic₉₄	C₂²	semidirect
39. #15689680	C₂²	semidirect
40. #15689680	C₂²	semidirect
41. C₂×#13094003	C₂²	semidirect
42. C₂×#13094003	C₂²	semidirect
44. #15689518	C₂²	semidirect
45. #15689502	C₂²	semidirect
46. #15689495	C₂²	semidirect
47. #15689482	C₂²	semidirect
48. #15689473	C₂²	semidirect
49. #15689469	C₂²	semidirect
50. #15689464	C₂²	semidirect
51. #15689464	C₂²	semidirect
52. #15689464	C₂²	semidirect
53. #15689456	C₂²	semidirect
54. #15689451	C₂²	semidirect
55. #15689439	C₂²	semidirect
56. #15689434	C₂²	semidirect
57. #15689418	C₂²	semidirect
58. #15689413	C₂²	semidirect
59. #15689408	C₂²	semidirect
60. #15689403	C₂²	semidirect
61. #15689379	C₂²	semidirect
62. #15689379	C₂²	semidirect
63. #15689367	C₂²	semidirect
64. #15689367	C₂²	semidirect
65. #15689362	C₂²	semidirect
66. #15689362	C₂²	semidirect
67. #15689350	C₂²	semidirect
68. #15689350	C₂²	semidirect
69. #15689342	C₂²	semidirect
70. #15689342	C₂²	semidirect
71. #15689333	C₂²	semidirect
72. #15689333	C₂²	semidirect
73. #15689330	C₂²	semidirect
74. #15689330	C₂²	semidirect
75. #15689328	C₂²	semidirect
76. #15689328	C₂²	semidirect
77. #15689320	C₂²	semidirect
78. #15689320	C₂²	semidirect
82. #15689285	C₂²	semidirect
83. #15689285	C₂²	semidirect
84. #15689285	C₂²	semidirect
85. #15689285	C₂²	semidirect
86. #15689285	C₂²	semidirect
87. #15689285	C₂²	semidirect
88. #15689285	C₂²	semidirect
89. #15689285	C₂²	semidirect
90. #15689279	C₂²	semidirect
91. #15689279	C₂²	semidirect
92. #15689278	C₂²	semidirect
93. #15689278	C₂²	semidirect
94. #15689274	C₂²	semidirect
95. #15689274	C₂²	semidirect
96. #15689261	C₂²	semidirect
97. #15689261	C₂²	semidirect
98. #15689228	C₂²	semidirect
99. #15689223	C₂²	semidirect
100. C₄×#10625337	C₂²	semidirect
101. C₄×#10625337	C₂²	semidirect
102. C₄×#10625335	C₂²	semidirect
103. C₄×#10625335	C₂²	semidirect
104. #15689201	C₂²	semidirect
105. #15689201	C₂²	semidirect
106. #15689195	C₂²	semidirect
107. #15689195	C₂²	semidirect
110. #15689180	C₂²	semidirect
111. #15689176	C₂²	semidirect
112. #15689124	C₂²	semidirect
113. #15689124	C₂²	semidirect
114. C₂×#13093948	C₂²	semidirect
115. C₂×#13093945	C₂²	semidirect
116. #15689087	C₂²	semidirect
117. C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	semidirect
503. D₄×C₄₇	#137	semidirect
741. C₄₇	#61607	semidirect
1120. D₄	#13094054	semidirect

Maximal subgroups

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

subgroup	index
#20257191	2
#20255726	2
#20255704	2
#20255499	2
#20255469	2
#20255264	2
#20255212	2
D₄×#10625337	2
D₄×#10625335	2
#20255054	2
#20255030	2
#20254954	2
#20254894	2
#20254399	2
#20254344	2
#20254214	2
#20254165	2
#20253550	2
#20253459	2
#20252648	2
C₂×#15689285	2
#20252423	2
D₄×#41×C₄₇	2
#61607	47