Subgroups — #27085030

Order 12032.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1212 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257137	C₂	1	1	yes	maximal, characteristic, complemented
2	#518×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	#20253638	C₂	1	2	yes	maximal, complemented
4	#20253638	C₂	1	2	yes	maximal, complemented
5	#20253571	C₂	1	2	yes	maximal, complemented
6	#20253569	C₂	1	2	yes	maximal, complemented
7	#20253525	C₂	1	2	yes	maximal, complemented
8	#20253486	C₂	1	2	yes	maximal, complemented
9	#20253434	C₂	1	2	yes	maximal, complemented
10	#20253395	C₂	1	2	yes	maximal, complemented
11	#20253334	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253299	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253220	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253219	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252896	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252613	C₂	1	1	yes	maximal, characteristic
17	C₂×#15689272	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252248	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252243	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252223	C₂	1	1	yes	maximal, characteristic, complemented
21	#20252221	C₂	1	1	yes	maximal, characteristic, complemented
22	#20252045	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3042	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
25	C₂×#13094049	C₂²	1	1	yes	characteristic
26	C₂²×#10625336	C₂²	1	1	yes	characteristic
27	#15689844	—	2	1	no	—
28	#15689831	—	2	1	no	—
29	#15689815	—	2	1	no	—
30	#15689810	—	2	2	no	—
31	#15689807	—	2	1	no	—
32	#15689796	—	2	2	no	—
33	#15689751	C₂²	1	1	yes	characteristic, complemented
34	#15689742	C₂²	1	2	yes	complemented
35	#15689734	C₂²	1	2	yes	complemented
36	#15689678	C₂²	1	2	yes	complemented
37	#15689652	C₂²	1	2	yes	complemented
38	#15689630	C₂²	1	1	yes	characteristic
39	C₂×#13094000	C₂²	1	1	yes	characteristic
40	#15689606	C₂²	1	1	yes	characteristic, complemented
41	#15689601	C₂²	1	1	yes	characteristic, complemented
42	#15689598	C₂²	1	1	yes	characteristic
43	#15689597	C₂²	1	1	yes	characteristic
44	#15689597	C₂²	1	1	yes	characteristic
45	#15689596	—	2	2	no	—
46	#15689595	—	2	1	no	—
47	#15689595	—	2	1	no	—
48	#15689595	C₂²	1	2	yes	—
49	#15689595	C₂²	1	2	yes	—
50	C₄×D₄×D₄₇	—	2	1	no	—
51	C₄×D₄×D₄₇	—	2	1	no	—
52	C₄×D₄×D₄₇	C₂²	1	2	yes	—
53	C₄×D₄×D₄₇	C₂²	1	2	yes	—
54	#117×D₄₇	C₂²	1	1	yes	characteristic
55	#117×D₄₇	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₄₇	—	2	2	no	—
57	#15689463	C₂²	1	1	yes	characteristic, complemented
58	#15689463	C₂²	1	2	yes	complemented
59	#15689462	C₂²	1	1	yes	characteristic, complemented
60	#15689462	C₂²	1	2	yes	complemented
61	#15689457	C₂²	1	1	yes	characteristic, complemented
62	#15689457	C₂²	1	2	yes	complemented
63	#15689452	C₂²	1	2	yes	complemented
64	#15689452	C₂²	1	1	yes	characteristic, complemented
65	#15689446	C₂²	1	1	yes	characteristic, complemented
66	#15689445	C₂²	1	1	yes	characteristic, complemented
67	#15689440	C₂²	1	1	yes	characteristic, complemented
68	#15689435	C₂²	1	1	yes	characteristic, complemented
69	#15689424	C₂²	1	2	yes	complemented
70	#15689424	C₂²	1	2	yes	complemented
71	#15689423	C₂²	1	2	yes	complemented
72	#15689423	C₂²	1	2	yes	complemented
73	#15689414	C₂²	1	2	yes	complemented
74	#15689413	C₂²	1	2	yes	complemented
75	#15689404	C₂²	1	2	yes	complemented
76	#15689403	C₂²	1	2	yes	complemented
77	#15689335	C₂²	1	2	yes	complemented
78	#15689335	C₂²	1	2	yes	complemented
79	#15689325	C₂²	1	2	yes	complemented
80	#15689325	C₂²	1	2	yes	complemented
81	#15689272	C₂²	1	2	yes	—
82	#15689272	C₂²	1	2	yes	—
83	#15689272	C₂²	1	2	yes	—
84	#15689272	C₂²	1	2	yes	—
85	#15689272	C₂²	1	2	yes	—
86	#15689272	C₂²	1	2	yes	—
87	#15689255	C₂²	1	2	yes	—
88	#15689255	C₂²	1	2	yes	—
89	#15689235	C₂²	1	2	yes	complemented
90	#15689232	C₂²	1	2	yes	complemented
91	#15689226	C₂²	1	2	yes	complemented
92	#15689226	C₂²	1	2	yes	complemented
93	#15689226	C₂²	1	2	yes	complemented
94	#15689224	C₂²	1	2	yes	complemented
95	#15689224	C₂²	1	2	yes	complemented
96	#15689224	C₂²	1	2	yes	complemented
97	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
98	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
99	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
100	#15689208	C₂²	1	2	yes	complemented
101	#15689208	C₂²	1	2	yes	complemented
102	#15689208	C₂²	1	2	yes	complemented
103	D₈×Dic₄₇	C₂²	1	2	yes	complemented
104	#15689203	C₂²	1	2	yes	complemented
105	#15689183	C₂²	1	2	yes	complemented
106	#15689183	C₂²	1	2	yes	complemented
107	#15689179	C₂²	1	2	yes	complemented
108	#15689175	C₂²	1	2	yes	complemented
109	#15689166	C₂²	1	1	yes	characteristic, complemented
110	#15689165	C₂²	1	1	yes	characteristic, complemented
111	#15689161	C₂²	1	1	yes	characteristic, complemented
112	#15689159	C₂²	1	1	yes	characteristic, complemented
113	#15689150	C₂²	1	1	yes	characteristic, complemented
114	#15689132	C₂²	1	1	yes	characteristic, complemented
115	#15689129	C₂²	1	1	yes	characteristic
116	#15689128	C₂²	1	1	yes	characteristic
117	#15689119	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13093946	C₂²	1	1	yes	characteristic
119	C₂×#13093945	C₂²	1	1	yes	characteristic
120	#15689086	C₂²	1	1	yes	characteristic
121	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
122	#15689081	C₂²	1	1	yes	characteristic, complemented
123	#15689078	C₂²	1	1	yes	characteristic, complemented
124	C₂×AGL(1,ℤ/8)×C₄₇	C₂²	1	1	yes	characteristic
125	C₂²×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic
126	C₄₇×#536	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#518	C₂²	1	1	yes	characteristic
128	C₄₇×#463	C₂²	1	2	yes	complemented
129	C₄₇×#463	C₂²	1	2	yes	complemented
130	C₄₇×#461	C₂²	1	2	yes	complemented
131	C₄₇×#461	C₂²	1	2	yes	complemented
132	C₄₇×#424	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#419	C₂²	1	1	yes	characteristic, complemented
134	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₄₇	—	2	1	no	—
136	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
137	C₂²×C₂²⋊D₄₇	—	2	1	no	—
138	C₂×D₄×D₄₇	—	2	4	no	—
139	C₂×D₄×D₄₇	—	2	4	no	—
140	C₂×D₄×D₄₇	—	2	1	no	—
141	C₂×D₄×D₄₇	—	2	1	no	—
142	C₂×D₄×D₄₇	C₂³	1	2	yes	—
143	C₂×D₄×D₄₇	C₂³	1	2	yes	—
144	C₂²×C₄×D₄₇	—	2	2	no	—
145	C₂²×C₄×D₄₇	—	2	2	no	—
146	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
147	#13094049	—	2	4	no	—
148	C₂×#10625336	—	2	4	no	—
149	C₂×#10625336	C₂³	1	2	yes	—
150	C₂×#10625336	C₂³	1	2	yes	—
151	C₂×#10625336	C₂³	1	2	yes	—
152	C₂×#10625334	C₂³	1	2	yes	—
153	C₂×#10625329	C₂³	1	1	yes	characteristic
154	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
155	#13094024	C₂³	1	2	yes	complemented
156	#13094023	—	2	1	no	—
157	#13094019	—	2	2	no	—
158	#13094019	—	2	2	no	—
159	#13094017	—	2	2	no	—
160	#13094017	—	2	2	no	—
161	#13094016	C₂³	1	2	yes	complemented
162	#13094015	—	2	1	no	—
163	#13094015	—	2	2	no	—
164	#13094014	—	2	2	no	—
165	#13094014	—	2	2	no	—
166	#13094010	—	2	2	no	—
167	#13094008	—	2	2	no	—
168	#13094006	—	2	2	no	—
169	#13094005	—	2	1	no	—
170	#13094004	—	2	2	no	—
171	#13094001	—	2	2	no	—
172	#13094001	—	2	2	no	—
173	#13094000	—	2	1	no	—
174	#13094000	—	2	1	no	—
175	#13094000	C₂³	1	1	yes	characteristic
176	#13094000	C₂³	1	2	yes	—
177	#13094000	C₂³	1	2	yes	—
178	#13094000	C₂³	1	1	yes	characteristic
179	#13093995	C₂³	1	1	yes	characteristic
180	#13093995	C₂³	1	1	yes	characteristic
181	#13093992	—	2	1	no	—
182	Q₈×Dic₄₇	—	2	1	no	—
183	Q₈×Dic₄₇	—	2	1	no	—
184	Q₈×Dic₄₇	C₂³	1	2	yes	complemented
185	Q₈×Dic₄₇	C₂³	1	2	yes	complemented
186	Q₈×Dic₄₇	C₂³	1	2	yes	complemented
187	#13093989	—	2	2	no	—
188	C₄×D₁₈₈	—	2	1	no	—
189	C₄×D₁₈₈	—	2	1	no	—
190	C₄×D₁₈₈	C₂³	1	2	yes	—
191	C₄×D₁₈₈	C₂³	1	2	yes	—
192	D₄×Dic₄₇	—	2	2	no	—
193	D₄×Dic₄₇	—	2	1	no	—
194	D₄×Dic₄₇	—	2	1	no	—
195	D₄×Dic₄₇	C₂³	1	2	yes	—
196	D₄×Dic₄₇	C₂³	1	2	yes	—
197	D₄×Dic₄₇	C₂³	1	2	yes	complemented
198	#13093986	—	2	1	no	—
199	#13093986	—	2	1	no	—
200	#13093986	C₂³	1	2	yes	—
201	#13093986	C₂³	1	2	yes	—
202	C₄×C₂²⋊D₄₇	—	2	1	no	—
203	C₄×C₂²⋊D₄₇	—	2	1	no	—
204	C₄×C₂²⋊D₄₇	—	2	2	no	—
205	C₄×C₂²⋊D₄₇	—	2	2	no	—
206	C₄×C₂²⋊D₄₇	—	2	2	no	—
207	C₄×C₂²⋊D₄₇	—	2	2	no	—
208	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
209	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
210	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
211	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
212	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
213	#13093983	—	2	2	no	—
214	#13093983	—	2	1	no	—
215	#13093983	C₂³	1	1	yes	characteristic
216	#13093983	C₂³	1	1	yes	characteristic
217	#13093983	C₂³	1	1	yes	characteristic
218	#13093982	—	2	2	no	—
219	#13093982	D₄	1	1	yes	characteristic
220	#13093982	D₄	1	1	yes	characteristic
221	#13093982	C₂³	1	1	yes	characteristic
222	#13093982	C₂³	1	1	yes	characteristic
223	#13093981	—	2	1	no	—
224	#13093981	C₂³	1	2	yes	—
225	#13093980	—	2	1	no	—
226	#13093980	—	2	2	no	—
227	#13093980	D₄	1	2	yes	—
228	C₂×C₄⋊Dic₄₇	—	2	1	no	—
229	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	—	2	1	no	—
231	C₄⋊C₄×D₄₇	D₄	1	1	yes	characteristic
232	C₄⋊C₄×D₄₇	D₄	1	1	yes	characteristic
233	C₄⋊C₄×D₄₇	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×D₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
236	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
237	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
238	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
239	C₂²⋊C₄×D₄₇	—	2	1	no	—
240	C₂²⋊C₄×D₄₇	—	2	2	no	—
241	C₂²⋊C₄×D₄₇	—	2	2	no	—
242	C₂²⋊C₄×D₄₇	—	2	2	no	—
243	C₂²⋊C₄×D₄₇	—	2	2	no	—
244	C₂²⋊C₄×D₄₇	—	2	2	no	—
245	C₂²⋊C₄×D₄₇	—	2	2	no	—
246	C₂²⋊C₄×D₄₇	D₄	1	2	yes	—
247	C₄²×D₄₇	—	2	1	no	—
248	C₄²×D₄₇	C₂³	1	2	yes	—
249	#13093958	C₂³	1	1	yes	characteristic, complemented
250	#13093958	C₂³	1	1	yes	characteristic, complemented
251	#13093958	C₂³	1	2	yes	complemented
252	#13093957	C₂³	1	1	yes	characteristic, complemented
253	#13093957	C₂³	1	1	yes	characteristic, complemented
254	#13093957	C₂³	1	2	yes	complemented
255	#13093956	C₂³	1	2	yes	complemented
256	#13093956	C₂³	1	1	yes	characteristic, complemented
257	#13093956	C₂³	1	1	yes	characteristic, complemented
258	#13093955	C₂³	1	2	yes	complemented
259	#13093955	C₂³	1	1	yes	characteristic, complemented
260	#13093955	C₂³	1	1	yes	characteristic, complemented
261	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	complemented
262	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	complemented
263	#13093948	C₂³	1	1	yes	characteristic, complemented
264	#13093948	C₂³	1	2	yes	complemented
265	#13093948	C₂³	1	2	yes	complemented
266	#13093948	C₂³	1	1	yes	characteristic, complemented
267	#13093946	C₂³	1	2	yes	—
268	#13093946	C₂³	1	2	yes	—
269	#13093946	C₂³	1	2	yes	—
270	#13093946	C₂³	1	2	yes	—
271	#13093945	C₂³	1	2	yes	—
272	#13093945	C₂³	1	2	yes	—
273	#13093945	C₂³	1	2	yes	—
274	#13093945	C₂³	1	2	yes	—
275	#13093945	C₂³	1	1	yes	characteristic, complemented
276	#13093945	C₂³	1	1	yes	characteristic, complemented
277	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
278	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
279	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
280	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
281	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
282	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
283	#13093934	C₂³	1	2	yes	complemented
284	#13093934	C₂³	1	2	yes	complemented
285	C₈×Dic₄₇	C₂³	1	2	yes	complemented
286	C₈×Dic₄₇	C₂³	1	2	yes	complemented
287	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
288	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
289	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
290	AGL(1,ℤ/8)×C₄₇	—	2	4	no	—
291	C₂×SD₁₆×C₄₇	—	2	4	no	—
292	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	—
293	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	—
294	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	—
295	C₂×D₈×C₄₇	C₂³	1	2	yes	—
296	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
297	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
298	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
299	#124×C₄₇	C₂³	1	2	yes	complemented
300	#123×C₄₇	—	2	2	no	—
301	C₂²⋊Q₈×C₄₇	—	2	1	no	—
302	C₂²⋊Q₈×C₄₇	—	2	1	no	—
303	C₄×D₄×C₄₇	—	2	1	no	—
304	C₄×D₄×C₄₇	—	2	1	no	—
305	C₄×D₄×C₄₇	C₂³	1	2	yes	—
306	C₄×D₄×C₄₇	C₂³	1	2	yes	—
307	#117×C₄₇	C₂³	1	1	yes	characteristic
308	#117×C₄₇	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
310	C₄⋊C₈×C₄₇	C₂³	1	2	yes	complemented
311	C₄⋊C₈×C₄₇	C₂³	1	2	yes	complemented
312	#103×C₄₇	C₂³	1	1	yes	characteristic, complemented
313	#103×C₄₇	C₂³	1	2	yes	complemented
314	#103×C₄₇	C₂³	1	2	yes	complemented
315	#103×C₄₇	C₂³	1	1	yes	characteristic, complemented
316	#102×C₄₇	C₂³	1	1	yes	characteristic, complemented
317	#102×C₄₇	C₂³	1	1	yes	characteristic, complemented
318	C₂⁴×C₄₇	—	2	1	no	—
319	C₂³×D₄₇	—	2	8	no	—
320	C₂³×D₄₇	—	2	1	no	—
321	C₂³×D₄₇	—	2	2	no	—
322	C₂³×D₄₇	—	2	2	no	—
323	C₂³×D₄₇	—	8	2	no	—
324	C₂³×D₄₇	—	8	2	no	—
325	C₂³×D₄₇	C₂×D₄	1	1	yes	characteristic
326	#41×C₄₇	—	2	2	no	—
327	#41×C₄₇	—	2	2	no	—
328	C₂×Q₈×C₄₇	—	2	1	no	—
329	C₂×Q₈×C₄₇	—	2	2	no	—
330	C₂×Q₈×C₄₇	—	2	2	no	—
331	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₄₇	—	2	1	no	—
334	C₂×D₄×C₄₇	—	2	1	no	—
335	C₂×D₄×C₄₇	—	2	2	no	—
336	C₂×D₄×C₄₇	#41	1	4	yes	—
337	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₄₇	—	2	1	no	—
340	C₂²×C₄×C₄₇	—	2	1	no	—
341	C₂²×C₄×C₄₇	—	2	2	no	—
342	C₂²×C₄×C₄₇	—	2	2	no	—
343	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
344	C₂×C₂²⋊D₄₇	—	2	8	no	—
345	C₂×C₂²⋊D₄₇	—	2	1	no	—
346	C₂×C₂²⋊D₄₇	—	2	1	no	—
347	C₂×C₂²⋊D₄₇	—	2	2	no	—
348	C₂×C₂²⋊D₄₇	—	2	2	no	—
349	C₂²×Dic₄₇	—	2	1	no	—
350	C₂²×Dic₄₇	—	2	2	no	—
351	C₂²×Dic₄₇	—	2	2	no	—
352	C₂²×Dic₄₇	—	2	2	no	—
353	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
354	D₄×D₄₇	—	2	8	no	—
355	D₄×D₄₇	—	2	8	no	—
356	D₄×D₄₇	—	2	4	no	—
357	D₄×D₄₇	—	2	4	no	—
358	D₄×D₄₇	—	2	4	no	—
359	D₄×D₄₇	—	2	4	no	—
360	C₂×D₁₈₈	—	2	1	no	—
361	C₂×D₁₈₈	—	2	2	no	—
362	C₂×D₁₈₈	#41	1	4	yes	—
363	C₂×D₁₈₈	C₂⁴	1	2	yes	—
364	C₂×C₄×D₄₇	—	2	2	no	—
365	C₂×C₄×D₄₇	—	2	2	no	—
366	C₂×C₄×D₄₇	—	2	1	no	—
367	C₂×C₄×D₄₇	—	2	1	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	—	8	4	no	—
373	C₂×C₄×D₄₇	—	8	4	no	—
374	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
375	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
376	C₂×C₄×D₄₇	C₂×D₄	1	1	yes	characteristic
377	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
378	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₉₄	—	2	2	no	—
381	SD₁₆×C₄₇	—	2	4	no	—
382	SD₁₆×C₄₇	—	2	4	no	—
383	SD₁₆×C₄₇	—	2	4	no	—
384	D₈×C₄₇	—	2	4	no	—
385	M₁₆×C₄₇	—	2	2	no	—
386	C₂×C₈×C₄₇	—	2	2	no	—
387	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
388	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
390	C₄⋊C₄×C₄₇	—	2	2	no	—
391	C₄⋊C₄×C₄₇	—	2	2	no	—
392	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
393	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
394	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²⋊C₄×C₄₇	—	2	1	no	—
397	C₂²⋊C₄×C₄₇	—	2	2	no	—
398	C₂²⋊C₄×C₄₇	—	2	2	no	—
399	C₂²⋊C₄×C₄₇	—	2	2	no	—
400	C₂²⋊C₄×C₄₇	—	2	2	no	—
401	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
402	C₄²×C₄₇	—	2	1	no	—
403	C₄²×C₄₇	C₂⁴	1	2	yes	—
404	C₂²⋊Dic₄₇	—	2	1	no	—
405	C₂²⋊Dic₄₇	—	2	1	no	—
406	C₂²⋊Dic₄₇	—	2	2	no	—
407	C₂²⋊Dic₄₇	—	2	2	no	—
408	C₂²⋊Dic₄₇	—	2	1	no	—
409	C₂²⋊Dic₄₇	—	2	2	no	—
410	C₂²⋊Dic₄₇	—	2	1	no	—
411	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
412	#10625336	—	2	4	no	—
413	#10625336	—	2	4	no	—
414	#10625336	—	2	4	no	—
415	#10625334	—	2	4	no	—
416	(C₂×D₄₇)⋊C₄	—	2	1	no	—
417	(C₂×D₄₇)⋊C₄	—	2	1	no	—
418	(C₂×D₄₇)⋊C₄	—	2	2	no	—
419	(C₂×D₄₇)⋊C₄	—	2	2	no	—
420	(C₂×D₄₇)⋊C₄	—	2	1	no	—
421	(C₂×D₄₇)⋊C₄	—	2	1	no	—
422	(C₂×D₄₇)⋊C₄	—	2	2	no	—
423	(C₂×D₄₇)⋊C₄	—	2	2	no	—
424	(C₂×D₄₇)⋊C₄	—	2	2	no	—
425	(C₂×D₄₇)⋊C₄	—	2	2	no	—
426	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
427	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
428	C₄⋊Dic₄₇	—	2	1	no	—
429	C₄⋊Dic₄₇	—	2	2	no	—
430	C₄⋊Dic₄₇	—	2	2	no	—
431	C₄⋊Dic₄₇	—	2	2	no	—
432	C₄⋊Dic₄₇	—	2	2	no	—
433	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
434	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
435	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
436	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
438	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
439	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
440	Dic₄₇⋊C₄	—	2	2	no	—
441	Dic₄₇⋊C₄	—	2	2	no	—
442	Dic₄₇⋊C₄	—	2	1	no	—
443	Dic₄₇⋊C₄	—	2	1	no	—
444	Dic₄₇⋊C₄	—	2	2	no	—
445	Dic₄₇⋊C₄	—	2	2	no	—
446	Dic₄₇⋊C₄	—	2	1	no	—
447	Dic₄₇⋊C₄	—	2	1	no	—
448	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
449	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
450	C₄×Dic₄₇	—	2	1	no	—
451	C₄×Dic₄₇	—	2	1	no	—
452	C₄×Dic₄₇	—	2	1	no	—
453	C₄×Dic₄₇	—	2	1	no	—
454	C₄×Dic₄₇	—	2	2	no	—
455	C₄×Dic₄₇	—	2	2	no	—
456	C₄×Dic₄₇	—	2	2	no	—
457	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
458	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
459	C₄×Dic₄₇	C₂⁴	1	2	yes	—
460	#10625329	—	2	2	no	—
461	C₂×C₄₇⋊C₈	—	2	2	no	—
462	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
463	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
464	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
465	C₂³×C₄₇	—	2	2	no	—
466	C₂³×C₄₇	—	2	4	no	—
467	C₂³×C₄₇	—	2	1	no	—
468	C₂³×C₄₇	—	8	1	no	—
469	C₂³×C₄₇	—	8	1	no	—
470	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
471	C₂²×D₄₇	—	2	8	no	—
472	C₂²×D₄₇	—	2	2	no	—
473	C₂²×D₄₇	—	2	2	no	—
474	C₂²×D₄₇	—	2	8	no	—
475	C₂²×D₄₇	—	2	4	no	—
476	C₂²×D₄₇	—	2	2	no	—
477	C₂²×D₄₇	—	4	1	no	—
478	C₂²×D₄₇	—	4	4	no	—
479	C₂²×D₄₇	—	4	4	no	—
480	C₂²×D₄₇	—	8	2	no	—
481	C₂²×D₄₇	—	8	2	no	—
482	C₂²×D₄₇	—	8	16	no	—
483	C₂²×D₄₇	—	8	1	no	—
484	C₂²×D₄₇	—	8	1	no	—
485	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
486	C₂²×D₄₇	C₂²×D₄	1	1	yes	characteristic
487	Q₈×C₄₇	—	2	2	no	—
488	Q₈×C₄₇	—	2	1	no	—
489	Q₈×C₄₇	—	2	2	no	—
490	Q₈×C₄₇	—	2	1	no	—
491	Q₈×C₄₇	—	4	2	no	—
492	D₄×C₄₇	—	2	4	no	—
493	D₄×C₄₇	—	2	2	no	—
494	D₄×C₄₇	—	2	1	no	—
495	D₄×C₄₇	—	2	1	no	—
496	D₄×C₄₇	—	4	2	no	—
497	D₄×C₄₇	C₂×#41	1	4	yes	—
498	C₂×C₄×C₄₇	—	2	2	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	—	4	2	no	—
503	C₂×C₄×C₄₇	—	4	2	no	—
504	C₂×C₄×C₄₇	—	8	2	no	—
505	C₂×C₄×C₄₇	—	8	2	no	—
506	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
507	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
510	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
511	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
512	C₂²⋊D₄₇	—	2	8	no	—
513	C₂²⋊D₄₇	—	2	8	no	—
514	C₂²⋊D₄₇	—	4	2	no	—
515	C₂²⋊D₄₇	—	8	1	no	—
516	C₂×Dic₄₇	—	2	2	no	—
517	C₂×Dic₄₇	—	2	1	no	—
518	C₂×Dic₄₇	—	2	1	no	—
519	C₂×Dic₄₇	—	2	1	no	—
520	C₂×Dic₄₇	—	2	1	no	—
521	C₂×Dic₄₇	—	2	2	no	—
522	C₂×Dic₄₇	—	8	2	no	—
523	C₂×Dic₄₇	—	8	2	no	—
524	C₂×Dic₄₇	—	8	2	no	—
525	C₂×Dic₄₇	—	8	1	no	—
526	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
527	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
528	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
529	C₂×Dic₄₇	C₂²×D₄	1	1	yes	characteristic
530	D₁₈₈	—	2	4	no	—
531	D₁₈₈	—	2	2	no	—
532	D₁₈₈	C₂×#41	1	4	yes	—
533	C₄×D₄₇	—	2	4	no	—
534	C₄×D₄₇	—	2	2	no	—
535	C₄×D₄₇	—	2	2	no	—
536	C₄×D₄₇	—	2	1	no	—
537	C₄×D₄₇	—	2	1	no	—
538	C₄×D₄₇	—	2	1	no	—
539	C₄×D₄₇	—	2	1	no	—
540	C₄×D₄₇	—	4	2	no	—
541	C₄×D₄₇	—	4	2	no	—
542	C₄×D₄₇	—	4	2	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	—	8	2	no	—
548	C₈×C₄₇	—	2	1	no	—
549	C₈×C₄₇	—	2	1	no	—
550	C₈×C₄₇	—	2	2	no	—
551	C₄₇⋊C₈	—	2	1	no	—
552	C₄₇⋊C₈	—	2	1	no	—
553	C₄₇⋊C₈	—	2	2	no	—
554	#60579	—	47	1	no	maximal, Sylow
555	C₂²×C₄₇	—	2	1	no	—
556	C₂²×C₄₇	—	2	1	no	—
557	C₂²×C₄₇	—	2	4	no	—
558	C₂²×C₄₇	—	4	2	no	—
559	C₂²×C₄₇	—	4	2	no	—
560	C₂²×C₄₇	—	4	1	no	—
561	C₂²×C₄₇	—	4	1	no	—
562	C₂²×C₄₇	—	4	1	no	—
563	C₂²×C₄₇	—	8	4	no	—
564	C₂²×C₄₇	#525	1	2	yes	—
565	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
566	C₂×D₄₇	—	2	1	no	—
567	C₂×D₄₇	—	2	1	no	—
568	C₂×D₄₇	—	2	1	no	—
569	C₂×D₄₇	—	2	1	no	—
570	C₂×D₄₇	—	2	4	no	—
571	C₂×D₄₇	—	2	1	no	—
572	C₂×D₄₇	—	4	4	no	—
573	C₂×D₄₇	—	4	16	no	—
574	C₂×D₄₇	—	4	2	no	—
575	C₂×D₄₇	—	4	2	no	—
576	C₂×D₄₇	—	8	4	no	—
577	C₂×D₄₇	—	8	8	no	—
578	C₂×D₄₇	#577	1	2	yes	—
579	C₄×C₄₇	—	2	2	no	—
580	C₄×C₄₇	—	2	2	no	—
581	C₄×C₄₇	—	4	1	no	—
582	C₄×C₄₇	—	4	1	no	—
583	C₄×C₄₇	—	4	2	no	—
584	C₄×C₄₇	—	4	1	no	—
585	C₄×C₄₇	#525	1	2	yes	—
586	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
587	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
588	Dic₄₇	—	2	2	no	—
589	Dic₄₇	—	2	1	no	—
590	Dic₄₇	—	2	1	no	—
591	Dic₄₇	—	2	2	no	—
592	Dic₄₇	—	4	1	no	—
593	Dic₄₇	—	4	2	no	—
594	Dic₄₇	—	4	1	no	—
595	Dic₄₇	—	4	1	no	—
596	Dic₄₇	—	4	1	no	—
597	#3495	—	47	1	no	—
598	C₂×#518	—	47	1	no	—
599	#3123	—	47	2	no	—
600	#3123	—	47	2	no	—
601	#3118	—	47	2	no	—
602	#3118	—	47	2	no	—
603	#3114	—	47	2	no	—
604	#3110	—	47	2	no	—
605	#3105	—	47	2	no	—
606	#3101	—	47	2	no	—
607	#3095	—	47	1	no	—
608	#3091	—	47	1	no	—
609	#3081	—	47	1	no	—
610	#3081	—	47	1	no	—
611	#3042	—	47	1	no	—
612	#3042	D₄₇	1	1	yes	characteristic, complemented
613	#3003	—	47	1	no	—
614	C₂×#450	—	47	1	no	—
615	#2949	—	47	1	no	—
616	#2949	—	47	1	no	—
617	#2946	—	47	1	no	—
618	#2946	—	47	1	no	—
619	#2924	—	47	1	no	—
620	C₂×C₄₇	—	2	2	no	—
621	C₂×C₄₇	—	4	4	no	—
622	C₂×C₄₇	—	8	1	no	—
623	C₂×C₄₇	C₂×#525	1	1	yes	characteristic
624	C₂×C₄₇	C₂×#577	1	1	yes	characteristic
625	C₂×C₄₇	#3585	1	1	yes	characteristic
626	D₄₇	—	2	2	no	—
627	D₄₇	—	4	1	no	—
628	D₄₇	—	4	4	no	—
629	C₂³×D₄	—	47	1	no	—
630	C₂×AGL(1,ℤ/8)	—	47	1	no	—
631	C₂×AGL(1,ℤ/8)	C₂×D₄₇	1	1	yes	characteristic
632	C₂²×SD₁₆	—	47	1	no	—
633	C₂²×SD₁₆	C₂×D₄₇	1	1	yes	characteristic
634	#556	—	94	1	no	—
635	#554	—	94	1	no	—
636	#552	—	94	1	no	—
637	#552	—	94	1	no	—
638	#552	—	94	2	no	—
639	#551	—	94	2	no	—
640	#544	—	47	1	no	—
641	#542	—	47	2	no	—
642	#541	—	47	2	no	—
643	#536	C₂×D₄₇	1	1	yes	characteristic, complemented
644	#533	—	47	2	no	—
645	#529	—	47	2	no	—
646	#525	—	47	1	no	—
647	C₂×C₂²⋊Q₈	—	47	1	no	—
648	#520	—	47	1	no	—
649	#519	—	47	1	no	—
650	#518	—	47	1	no	—
651	#518	—	47	2	no	—
652	#518	—	47	2	no	—
653	#518	—	47	1	no	—
654	#518	—	47	1	no	—
655	#518	—	94	2	no	—
656	#518	—	94	1	no	—
657	#518	—	94	1	no	—
658	#518	C₂×D₄₇	1	1	yes	characteristic
659	C₂×C₄×D₄	—	47	2	no	—
660	C₂×C₄×D₄	—	47	2	no	—
661	C₂×C₄×D₄	—	94	1	no	—
662	C₂×C₄×D₄	—	94	1	no	—
663	C₂×#117	—	47	1	no	—
664	C₂×#117	—	47	1	no	—
665	C₂²×C₂²⋊C₄	—	94	2	no	—
666	#485	—	47	1	no	—
667	#485	—	47	1	no	—
668	#485	—	47	2	no	—
669	#485	—	47	2	no	—
670	#484	—	47	1	no	—
671	#484	—	47	2	no	—
672	#483	—	47	1	no	—
673	#483	—	47	2	no	—
674	#482	—	47	1	no	—
675	#482	—	47	1	no	—
676	#481	—	47	1	no	—
677	#480	—	47	1	no	—
678	#478	—	47	2	no	—
679	#478	—	47	2	no	—
680	#478	—	47	2	no	—
681	#478	—	47	2	no	—
682	#476	—	47	2	no	—
683	#476	—	47	2	no	—
684	#474	—	47	2	no	—
685	#474	—	47	2	no	—
686	#463	—	47	2	no	—
687	#463	—	47	2	no	—
688	#463	C₂×D₄₇	1	2	yes	complemented
689	#463	C₂×D₄₇	1	2	yes	complemented
690	#461	—	47	2	no	—
691	#461	—	47	2	no	—
692	#461	C₂×D₄₇	1	2	yes	complemented
693	#461	C₂×D₄₇	1	2	yes	complemented
694	#450	—	47	2	no	—
695	#450	—	47	2	no	—
696	#450	—	47	2	no	—
697	#450	—	47	2	no	—
698	#450	—	47	2	no	—
699	#450	—	47	2	no	—
700	#447	—	47	2	no	—
701	#447	—	47	2	no	—
702	#442	—	47	2	no	—
703	#442	—	47	2	no	—
704	#440	—	47	2	no	—
705	#440	—	47	2	no	—
706	#440	—	47	2	no	—
707	#440	—	47	2	no	—
708	#440	—	47	2	no	—
709	#440	—	47	2	no	—
710	C₄×SD₁₆	—	47	2	no	—
711	C₄×SD₁₆	—	47	2	no	—
712	C₄×SD₁₆	—	47	2	no	—
713	C₄×SD₁₆	—	47	2	no	—
714	C₄×SD₁₆	—	47	2	no	—
715	C₄×SD₁₆	—	47	2	no	—
716	C₄×D₈	—	47	2	no	—
717	C₄×D₈	—	47	2	no	—
718	#433	—	47	2	no	—
719	#433	—	47	2	no	—
720	#432	—	47	2	no	—
721	#431	—	47	2	no	—
722	#428	—	47	1	no	—
723	#428	—	47	1	no	—
724	#427	—	47	1	no	—
725	#427	—	47	1	no	—
726	#424	—	47	1	no	—
727	#424	C₂×D₄₇	1	1	yes	characteristic, complemented
728	#419	—	47	1	no	—
729	#419	C₂×D₄₇	1	1	yes	characteristic, complemented
730	#418	—	47	1	no	—
731	#418	—	47	1	no	—
732	#416	—	47	1	no	—
733	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
734	C₂×#102	—	47	1	no	—
735	C₂×#102	—	47	1	no	—
736	#407	—	47	1	no	—
737	C₂×C₂²⋊C₈	—	47	1	no	—
738	#405	—	47	1	no	—
739	#405	—	47	1	no	—
740	C₄₇	#60579	1	1	yes	characteristic, complemented, Sylow
741	C₂⁵	—	94	1	no	—
742	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
743	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
744	C₂²×D₄	—	47	2	no	—
745	C₂²×D₄	—	47	2	no	—
746	C₂²×D₄	—	47	1	no	—
747	C₂²×D₄	—	94	1	no	—
748	C₂²×D₄	—	94	1	no	—
749	C₂²×D₄	—	94	1	no	—
750	C₂²×D₄	—	94	4	no	—
751	C₂²×D₄	—	94	4	no	—
752	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
753	C₂³×C₄	—	47	1	no	—
754	C₂³×C₄	—	94	2	no	—
755	C₂³×C₄	—	94	2	no	—
756	AGL(1,ℤ/8)	—	2	4	no	—
757	AGL(1,ℤ/8)	—	94	4	no	—
758	C₂×SD₁₆	—	2	4	no	—
759	C₂×SD₁₆	—	47	2	no	—
760	C₂×SD₁₆	—	47	2	no	—
761	C₂×SD₁₆	—	47	2	no	—
762	C₂×SD₁₆	—	94	4	no	—
763	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
764	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
765	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	—
766	C₂×D₈	—	47	2	no	—
767	C₂×D₈	C₂²×D₄₇	1	2	yes	—
768	C₂×M₁₆	—	47	1	no	—
769	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
770	C₂²×C₈	—	47	1	no	—
771	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
772	C₄⋊Q₈	—	47	2	no	—
773	C₄⋊Q₈	—	94	1	no	—
774	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	complemented
775	#126	—	94	2	no	—
776	#126	—	94	2	no	—
777	#126	—	94	2	no	—
778	#126	—	94	2	no	—
779	#125	—	47	2	no	—
780	#125	—	94	2	no	—
781	#125	—	94	2	no	—
782	#125	—	94	2	no	—
783	#125	—	94	1	no	—
784	#124	—	94	2	no	—
785	#124	C₂²×D₄₇	1	2	yes	complemented
786	#123	—	2	2	no	—
787	#123	—	94	2	no	—
788	#123	—	94	2	no	—
789	#123	—	94	1	no	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	47	2	no	—
793	C₂²⋊Q₈	—	47	2	no	—
794	C₂²⋊Q₈	—	47	1	no	—
795	C₂²⋊Q₈	—	47	1	no	—
796	C₂²⋊Q₈	—	94	2	no	—
797	C₂²⋊Q₈	—	94	2	no	—
798	C₂²⋊Q₈	—	94	1	no	—
799	C₂²⋊Q₈	—	94	1	no	—
800	C₂²⋊Q₈	—	94	2	no	—
801	#121	—	47	1	no	—
802	#121	—	47	1	no	—
803	#120	—	94	1	no	—
804	C₄×Q₈	—	47	2	no	—
805	C₄×Q₈	—	47	2	no	—
806	C₄×Q₈	—	47	2	no	—
807	C₄×Q₈	—	94	2	no	—
808	C₄×Q₈	—	94	1	no	—
809	C₄×Q₈	—	94	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	47	2	no	—
813	C₄×D₄	—	47	2	no	—
814	C₄×D₄	—	47	2	no	—
815	C₄×D₄	—	47	2	no	—
816	C₄×D₄	—	47	2	no	—
817	C₄×D₄	—	47	2	no	—
818	C₄×D₄	—	47	2	no	—
819	C₄×D₄	—	94	1	no	—
820	C₄×D₄	—	94	1	no	—
821	C₄×D₄	—	94	2	no	—
822	C₄×D₄	—	94	2	no	—
823	C₄×D₄	—	94	2	no	—
824	C₄×D₄	—	94	2	no	—
825	C₄×D₄	—	94	2	no	—
826	C₄×D₄	—	94	2	no	—
827	C₄×D₄	—	94	2	no	—
828	C₄×D₄	—	94	2	no	—
829	C₄×D₄	—	94	2	no	—
830	C₄×D₄	—	94	2	no	—
831	C₄×D₄	—	94	1	no	—
832	C₄×D₄	—	94	1	no	—
833	C₄×D₄	—	94	1	no	—
834	C₄×D₄	—	94	1	no	—
835	C₄×D₄	—	94	1	no	—
836	C₄×D₄	—	94	1	no	—
837	C₄×D₄	C₂²×D₄₇	1	2	yes	—
838	C₄×D₄	C₂²×D₄₇	1	2	yes	—
839	#117	—	47	1	no	—
840	#117	—	47	1	no	—
841	#117	—	47	1	no	—
842	#117	—	47	2	no	—
843	#117	—	47	2	no	—
844	#117	—	47	1	no	—
845	#117	—	47	1	no	—
846	#117	—	47	1	no	—
847	#117	—	47	1	no	—
848	#117	—	94	1	no	—
849	#117	—	94	2	no	—
850	#117	—	94	1	no	—
851	#117	—	94	2	no	—
852	#117	—	94	2	no	—
853	#117	—	94	1	no	—
854	#117	C₂²×D₄₇	1	1	yes	characteristic
855	#117	C₂²×D₄₇	1	1	yes	characteristic
856	C₂×C₄⋊C₄	—	47	1	no	—
857	C₂×C₄⋊C₄	—	47	1	no	—
858	C₂×C₄⋊C₄	—	47	1	no	—
859	C₂×C₄⋊C₄	—	47	1	no	—
860	C₂×C₄⋊C₄	—	47	1	no	—
861	C₂×C₄⋊C₄	—	94	1	no	—
862	C₂×C₄⋊C₄	—	94	1	no	—
863	C₂×C₂²⋊C₄	—	2	2	no	—
864	C₂×C₂²⋊C₄	—	47	2	no	—
865	C₂×C₂²⋊C₄	—	94	2	no	—
866	C₂×C₂²⋊C₄	—	94	2	no	—
867	C₂×C₂²⋊C₄	—	94	2	no	—
868	C₂×C₂²⋊C₄	—	94	2	no	—
869	C₂×C₂²⋊C₄	—	94	2	no	—
870	C₂×C₂²⋊C₄	—	94	1	no	—
871	C₂×C₂²⋊C₄	—	94	2	no	—
872	C₂×C₂²⋊C₄	—	94	2	no	—
873	C₂×C₂²⋊C₄	—	94	2	no	—
874	C₂×C₂²⋊C₄	—	94	1	no	—
875	C₂×C₂²⋊C₄	—	94	2	no	—
876	C₂×C₄²	—	47	2	no	—
877	C₂×C₄²	—	94	1	no	—
878	#107	—	47	1	no	—
879	#107	—	47	1	no	—
880	#107	—	47	2	no	—
881	#107	—	47	1	no	—
882	#107	—	47	1	no	—
883	#107	—	47	2	no	—
884	#106	—	47	1	no	—
885	#106	—	47	1	no	—
886	#106	—	47	2	no	—
887	#106	—	47	1	no	—
888	#106	—	47	1	no	—
889	#106	—	47	2	no	—
890	C₄⋊C₈	—	47	2	no	—
891	C₄⋊C₈	—	47	2	no	—
892	C₄⋊C₈	C₂²×D₄₇	1	2	yes	complemented
893	C₄⋊C₈	C₂²×D₄₇	1	2	yes	complemented
894	#103	—	47	1	no	—
895	#103	—	47	1	no	—
896	#103	—	47	2	no	—
897	#103	—	47	2	no	—
898	#103	C₂²×D₄₇	1	1	yes	characteristic, complemented
899	#103	C₂²×D₄₇	1	1	yes	characteristic, complemented
900	#103	C₂²×D₄₇	1	2	yes	complemented
901	#103	C₂²×D₄₇	1	2	yes	complemented
902	#102	—	47	2	no	—
903	#102	—	47	2	no	—
904	#102	—	47	2	no	—
905	#102	—	47	2	no	—
906	#102	—	47	1	no	—
907	#102	—	47	1	no	—
908	#102	—	47	2	no	—
909	#102	—	47	2	no	—
910	#102	—	47	2	no	—
911	#102	—	47	2	no	—
912	#102	C₂²×D₄₇	1	1	yes	characteristic, complemented
913	#102	C₂²×D₄₇	1	1	yes	characteristic, complemented
914	C₂²⋊C₈	—	47	1	no	—
915	C₂²⋊C₈	—	47	1	no	—
916	C₂²⋊C₈	—	47	1	no	—
917	C₂²⋊C₈	—	47	1	no	—
918	C₂²⋊C₈	—	47	2	no	—
919	C₂²⋊C₈	—	47	2	no	—
920	#97	—	47	2	no	—
921	#97	—	47	2	no	—
922	C₄×C₈	—	47	2	no	—
923	C₄×C₈	—	47	2	no	—
924	C₂⁴	—	2	1	no	—
925	C₂⁴	—	47	1	no	—
926	C₂⁴	—	94	2	no	—
927	C₂⁴	—	94	2	no	—
928	C₂⁴	—	94	8	no	—
929	C₂⁴	—	94	1	no	—
930	C₂⁴	—	376	2	no	—
931	C₂⁴	—	376	2	no	—
932	#41	—	2	2	no	—
933	#41	—	2	2	no	—
934	C₂×Q₈	—	2	1	no	—
935	C₂×Q₈	—	2	2	no	—
936	C₂×Q₈	—	2	2	no	—
937	C₂×Q₈	—	94	2	no	—
938	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
939	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	2	no	—
943	C₂×D₄	—	47	4	no	—
944	C₂×D₄	—	47	2	no	—
945	C₂×D₄	—	94	2	no	—
946	C₂×D₄	—	94	2	no	—
947	C₂×D₄	—	94	4	no	—
948	C₂×D₄	—	94	4	no	—
949	C₂×D₄	—	94	8	no	—
950	C₂×D₄	—	94	8	no	—
951	C₂×D₄	—	94	8	no	—
952	C₂×D₄	—	94	4	no	—
953	C₂×D₄	—	94	4	no	—
954	C₂×D₄	—	94	1	no	—
955	C₂×D₄	—	94	1	no	—
956	C₂×D₄	—	94	1	no	—
957	C₂×D₄	—	94	2	no	—
958	C₂×D₄	#10625352	1	4	yes	—
959	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
960	C₂×D₄	C₂³×D₄₇	1	2	yes	—
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	1	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	47	1	no	—
966	C₂²×C₄	—	47	2	no	—
967	C₂²×C₄	—	47	1	no	—
968	C₂²×C₄	—	47	1	no	—
969	C₂²×C₄	—	47	1	no	—
970	C₂²×C₄	—	47	1	no	—
971	C₂²×C₄	—	47	2	no	—
972	C₂²×C₄	—	94	2	no	—
973	C₂²×C₄	—	94	2	no	—
974	C₂²×C₄	—	94	1	no	—
975	C₂²×C₄	—	94	1	no	—
976	C₂²×C₄	—	94	2	no	—
977	C₂²×C₄	—	94	2	no	—
978	C₂²×C₄	—	94	2	no	—
979	C₂²×C₄	—	94	2	no	—
980	C₂²×C₄	—	94	2	no	—
981	C₂²×C₄	—	94	1	no	—
982	C₂²×C₄	—	94	2	no	—
983	C₂²×C₄	—	94	2	no	—
984	C₂²×C₄	—	376	4	no	—
985	C₂²×C₄	—	376	4	no	—
986	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
987	SD₁₆	—	2	4	no	—
988	SD₁₆	—	2	4	no	—
989	SD₁₆	—	2	4	no	—
990	SD₁₆	—	94	4	no	—
991	SD₁₆	—	94	4	no	—
992	SD₁₆	—	94	4	no	—
993	D₈	—	2	4	no	—
994	D₈	—	94	4	no	—
995	M₁₆	—	2	2	no	—
996	M₁₆	—	94	2	no	—
997	C₂×C₈	—	2	2	no	—
998	C₂×C₈	—	47	1	no	—
999	C₂×C₈	—	47	2	no	—
1000	C₂×C₈	—	47	1	no	—
1001	C₂×C₈	—	94	2	no	—
1002	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1003	C₂×C₈	C₂³×D₄₇	1	2	yes	—
1004	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	47	2	no	—
1008	C₄⋊C₄	—	47	2	no	—
1009	C₄⋊C₄	—	47	1	no	—
1010	C₄⋊C₄	—	47	1	no	—
1011	C₄⋊C₄	—	47	2	no	—
1012	C₄⋊C₄	—	47	1	no	—
1013	C₄⋊C₄	—	47	1	no	—
1014	C₄⋊C₄	—	47	1	no	—
1015	C₄⋊C₄	—	47	1	no	—
1016	C₄⋊C₄	—	94	1	no	—
1017	C₄⋊C₄	—	94	1	no	—
1018	C₄⋊C₄	—	94	2	no	—
1019	C₄⋊C₄	—	94	2	no	—
1020	C₄⋊C₄	—	94	1	no	—
1021	C₄⋊C₄	—	94	1	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	1	no	—
1028	C₄⋊C₄	—	94	2	no	—
1029	C₄⋊C₄	D₄×D₄₇	1	1	yes	characteristic
1030	C₄⋊C₄	D₄×D₄₇	1	1	yes	characteristic
1031	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	47	2	no	—
1039	C₂²⋊C₄	—	47	2	no	—
1040	C₂²⋊C₄	—	47	2	no	—
1041	C₂²⋊C₄	—	94	2	no	—
1042	C₂²⋊C₄	—	94	2	no	—
1043	C₂²⋊C₄	—	94	1	no	—
1044	C₂²⋊C₄	—	94	1	no	—
1045	C₂²⋊C₄	—	94	2	no	—
1046	C₂²⋊C₄	—	94	2	no	—
1047	C₂²⋊C₄	—	94	1	no	—
1048	C₂²⋊C₄	—	94	1	no	—
1049	C₂²⋊C₄	—	94	2	no	—
1050	C₂²⋊C₄	—	94	2	no	—
1051	C₂²⋊C₄	—	94	1	no	—
1052	C₂²⋊C₄	—	94	2	no	—
1053	C₂²⋊C₄	—	94	1	no	—
1054	C₂²⋊C₄	—	94	1	no	—
1055	C₂²⋊C₄	—	94	1	no	—
1056	C₂²⋊C₄	—	94	2	no	—
1057	C₂²⋊C₄	—	94	2	no	—
1058	C₂²⋊C₄	D₄×D₄₇	1	2	yes	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	47	2	no	—
1061	C₄²	—	47	2	no	—
1062	C₄²	—	47	2	no	—
1063	C₄²	—	94	1	no	—
1064	C₄²	—	94	1	no	—
1065	C₄²	—	94	2	no	—
1066	C₄²	—	94	2	no	—
1067	C₄²	—	94	2	no	—
1068	C₄²	—	94	1	no	—
1069	C₄²	—	94	1	no	—
1070	C₄²	C₂³×D₄₇	1	2	yes	—
1071	C₂³	—	2	2	no	—
1072	C₂³	—	2	4	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	8	1	no	—
1075	C₂³	—	8	1	no	—
1076	C₂³	—	47	1	no	—
1077	C₂³	—	47	1	no	—
1078	C₂³	—	94	2	no	—
1079	C₂³	—	94	8	no	—
1080	C₂³	—	94	8	no	—
1081	C₂³	—	94	4	no	—
1082	C₂³	—	94	2	no	—
1083	C₂³	—	94	2	no	—
1084	C₂³	—	376	1	no	—
1085	C₂³	—	376	1	no	—
1086	C₂³	—	376	2	no	—
1087	C₂³	—	376	2	no	—
1088	C₂³	—	376	16	no	—
1089	C₂³	—	188	1	no	—
1090	C₂³	—	188	4	no	—
1091	C₂³	—	188	4	no	—
1092	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1093	Q₈	—	2	2	no	—
1094	Q₈	—	2	1	no	—
1095	Q₈	—	2	2	no	—
1096	Q₈	—	2	1	no	—
1097	Q₈	—	4	2	no	—
1098	Q₈	—	376	2	no	—
1099	D₄	—	2	4	no	—
1100	D₄	—	2	2	no	—
1101	D₄	—	2	1	no	—
1102	D₄	—	2	1	no	—
1103	D₄	—	4	2	no	—
1104	D₄	—	47	4	no	—
1105	D₄	—	94	8	no	—
1106	D₄	—	94	8	no	—
1107	D₄	—	94	4	no	—
1108	D₄	—	94	2	no	—
1109	D₄	—	376	1	no	—
1110	D₄	—	188	2	no	—
1111	D₄	C₂×#10625352	1	4	yes	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	2	no	—
1120	C₂×C₄	—	47	1	no	—
1121	C₂×C₄	—	47	2	no	—
1122	C₂×C₄	—	47	2	no	—
1123	C₂×C₄	—	47	1	no	—
1124	C₂×C₄	—	94	4	no	—
1125	C₂×C₄	—	94	2	no	—
1126	C₂×C₄	—	94	2	no	—
1127	C₂×C₄	—	94	2	no	—
1128	C₂×C₄	—	94	1	no	—
1129	C₂×C₄	—	94	1	no	—
1130	C₂×C₄	—	94	1	no	—
1131	C₂×C₄	—	94	1	no	—
1132	C₂×C₄	—	94	1	no	—
1133	C₂×C₄	—	94	1	no	—
1134	C₂×C₄	—	94	1	no	—
1135	C₂×C₄	—	94	1	no	—
1136	C₂×C₄	—	94	2	no	—
1137	C₂×C₄	—	376	2	no	—
1138	C₂×C₄	—	376	2	no	—
1139	C₂×C₄	—	376	2	no	—
1140	C₂×C₄	—	376	2	no	—
1141	C₂×C₄	—	376	2	no	—
1142	C₂×C₄	—	376	2	no	—
1143	C₂×C₄	—	376	2	no	—
1144	C₂×C₄	—	376	1	no	—
1145	C₂×C₄	—	188	2	no	—
1146	C₂×C₄	—	188	2	no	—
1147	C₂×C₄	—	188	2	no	—
1148	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1149	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
1150	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1151	C₂×C₄	#41×D₄₇	1	2	yes	—
1152	C₂×C₄	C₂×#10625352	1	2	yes	—
1153	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1154	C₈	—	2	1	no	—
1155	C₈	—	2	1	no	—
1156	C₈	—	2	2	no	—
1157	C₈	—	94	1	no	—
1158	C₈	—	94	1	no	—
1159	C₈	—	94	2	no	—
1160	C₂²	—	2	1	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	4	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	8	4	no	—
1169	C₂²	—	47	2	no	—
1170	C₂²	—	94	1	no	—
1171	C₂²	—	94	1	no	—
1172	C₂²	—	94	1	no	—
1173	C₂²	—	94	1	no	—
1174	C₂²	—	94	4	no	—
1175	C₂²	—	94	1	no	—
1176	C₂²	—	376	4	no	—
1177	C₂²	—	376	8	no	—
1178	C₂²	—	188	4	no	—
1179	C₂²	—	188	16	no	—
1180	C₂²	—	188	2	no	—
1181	C₂²	—	188	2	no	—
1182	C₂²	#15689633	1	2	yes	—
1183	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1184	C₄	—	2	2	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	94	2	no	—
1191	C₄	—	94	1	no	—
1192	C₄	—	94	1	no	—
1193	C₄	—	94	2	no	—
1194	C₄	—	188	1	no	—
1195	C₄	—	188	1	no	—
1196	C₄	—	188	1	no	—
1197	C₄	—	188	2	no	—
1198	C₄	—	188	1	no	—
1199	C₄	#15689633	1	2	yes	—
1200	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1201	C₄	C₂²×#10625352	1	1	yes	characteristic
1202	C₂	—	2	2	no	—
1203	C₂	—	4	4	no	—
1204	C₂	—	8	1	no	—
1205	C₂	—	94	2	no	—
1206	C₂	—	188	1	no	—
1207	C₂	—	188	4	no	—
1208	C₂	C₂×#15689633	1	1	yes	characteristic
1209	C₂	#577×D₄₇	1	1	yes	characteristic
1210	C₂	#20258166	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×#3042	C₂
socle	C₂²×C₄₇	C₂³×D₄
prime radical	#20252613	C₂
hypercenter	#3042	D₄₇
hypocenter	C₄₇	#60579
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3042

Complements

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

N	H ≅ G/N	type
1. #20257137	C₂	semidirect
2. #518×D₄₇	C₂	semidirect
3. #20253638	C₂	semidirect
4. #20253638	C₂	semidirect
5. #20253571	C₂	semidirect
6. #20253569	C₂	semidirect
7. #20253525	C₂	semidirect
8. #20253486	C₂	semidirect
9. #20253434	C₂	semidirect
10. #20253395	C₂	semidirect
11. #20253334	C₂	semidirect
12. #20253299	C₂	semidirect
13. #20253220	C₂	semidirect
14. #20253219	C₂	semidirect
15. #20252896	C₂	semidirect
17. C₂×#15689272	C₂	semidirect
18. #20252248	C₂	semidirect
19. #20252243	C₂	semidirect
20. #20252223	C₂	semidirect
21. #20252221	C₂	semidirect
22. #20252045	C₂	semidirect
23. C₄₇×#3042	C₂	semidirect
33. #15689751	C₂²	semidirect
34. #15689742	C₂²	semidirect
35. #15689734	C₂²	semidirect
36. #15689678	C₂²	semidirect
37. #15689652	C₂²	semidirect
40. #15689606	C₂²	semidirect
41. #15689601	C₂²	semidirect
57. #15689463	C₂²	semidirect
58. #15689463	C₂²	semidirect
59. #15689462	C₂²	semidirect
60. #15689462	C₂²	semidirect
61. #15689457	C₂²	semidirect
62. #15689457	C₂²	semidirect
63. #15689452	C₂²	semidirect
64. #15689452	C₂²	semidirect
65. #15689446	C₂²	semidirect
66. #15689445	C₂²	semidirect
67. #15689440	C₂²	semidirect
68. #15689435	C₂²	semidirect
69. #15689424	C₂²	semidirect
70. #15689424	C₂²	semidirect
71. #15689423	C₂²	semidirect
72. #15689423	C₂²	semidirect
73. #15689414	C₂²	semidirect
74. #15689413	C₂²	semidirect
75. #15689404	C₂²	semidirect
76. #15689403	C₂²	semidirect
77. #15689335	C₂²	semidirect
78. #15689335	C₂²	semidirect
79. #15689325	C₂²	semidirect
80. #15689325	C₂²	semidirect
89. #15689235	C₂²	semidirect
90. #15689232	C₂²	semidirect
91. #15689226	C₂²	semidirect
92. #15689226	C₂²	semidirect
93. #15689226	C₂²	semidirect
94. #15689224	C₂²	semidirect
95. #15689224	C₂²	semidirect
96. #15689224	C₂²	semidirect
97. SD₁₆×Dic₄₇	C₂²	semidirect
98. SD₁₆×Dic₄₇	C₂²	semidirect
99. SD₁₆×Dic₄₇	C₂²	semidirect
100. #15689208	C₂²	semidirect
101. #15689208	C₂²	semidirect
102. #15689208	C₂²	semidirect
103. D₈×Dic₄₇	C₂²	semidirect
104. #15689203	C₂²	semidirect
105. #15689183	C₂²	semidirect
106. #15689183	C₂²	semidirect
107. #15689179	C₂²	semidirect
108. #15689175	C₂²	semidirect
109. #15689166	C₂²	semidirect
110. #15689165	C₂²	semidirect
111. #15689161	C₂²	semidirect
112. #15689159	C₂²	semidirect
113. #15689150	C₂²	semidirect
114. #15689132	C₂²	semidirect
117. #15689119	C₂²	semidirect
122. #15689081	C₂²	semidirect
123. #15689078	C₂²	semidirect
126. C₄₇×#536	C₂²	semidirect
128. C₄₇×#463	C₂²	semidirect
129. C₄₇×#463	C₂²	semidirect
130. C₄₇×#461	C₂²	semidirect
131. C₄₇×#461	C₂²	semidirect
132. C₄₇×#424	C₂²	semidirect
133. C₄₇×#419	C₂²	semidirect
134. C₄₇×#416	C₂²	semidirect
155. #13094024	C₂³	semidirect
161. #13094016	C₂³	semidirect
184. Q₈×Dic₄₇	C₂³	semidirect
185. Q₈×Dic₄₇	C₂³	semidirect
186. Q₈×Dic₄₇	C₂³	semidirect
197. D₄×Dic₄₇	C₂³	semidirect
249. #13093958	C₂³	semidirect
250. #13093958	C₂³	semidirect
251. #13093958	C₂³	semidirect
252. #13093957	C₂³	semidirect
253. #13093957	C₂³	semidirect
254. #13093957	C₂³	semidirect
255. #13093956	C₂³	semidirect
256. #13093956	C₂³	semidirect
257. #13093956	C₂³	semidirect
258. #13093955	C₂³	semidirect
259. #13093955	C₂³	semidirect
260. #13093955	C₂³	semidirect
261. C₄⋊(C₄₇⋊C₈)	C₂³	semidirect
262. C₄⋊(C₄₇⋊C₈)	C₂³	semidirect
263. #13093948	C₂³	semidirect
264. #13093948	C₂³	semidirect
265. #13093948	C₂³	semidirect
266. #13093948	C₂³	semidirect
275. #13093945	C₂³	semidirect
276. #13093945	C₂³	semidirect
283. #13093934	C₂³	semidirect
284. #13093934	C₂³	semidirect
285. C₈×Dic₄₇	C₂³	semidirect
286. C₈×Dic₄₇	C₂³	semidirect
298. C₄⋊Q₈×C₄₇	C₂³	semidirect
299. #124×C₄₇	C₂³	semidirect
310. C₄⋊C₈×C₄₇	C₂³	semidirect
311. C₄⋊C₈×C₄₇	C₂³	semidirect
312. #103×C₄₇	C₂³	semidirect
313. #103×C₄₇	C₂³	semidirect
314. #103×C₄₇	C₂³	semidirect
315. #103×C₄₇	C₂³	semidirect
316. #102×C₄₇	C₂³	semidirect
317. #102×C₄₇	C₂³	semidirect
612. #3042	D₄₇	semidirect
643. #536	C₂×D₄₇	semidirect
688. #463	C₂×D₄₇	semidirect
689. #463	C₂×D₄₇	semidirect
692. #461	C₂×D₄₇	semidirect
693. #461	C₂×D₄₇	semidirect
727. #424	C₂×D₄₇	semidirect
729. #419	C₂×D₄₇	semidirect
733. #416	C₂×D₄₇	semidirect
740. C₄₇	#60579	semidirect
774. C₄⋊Q₈	C₂²×D₄₇	semidirect
785. #124	C₂²×D₄₇	semidirect
892. C₄⋊C₈	C₂²×D₄₇	semidirect
893. C₄⋊C₈	C₂²×D₄₇	semidirect
898. #103	C₂²×D₄₇	semidirect
899. #103	C₂²×D₄₇	semidirect
900. #103	C₂²×D₄₇	semidirect
901. #103	C₂²×D₄₇	semidirect
912. #102	C₂²×D₄₇	semidirect
913. #102	C₂²×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20257137	2
#518×D₄₇	2
#20253638	2
#20253571	2
#20253569	2
#20253525	2
#20253486	2
#20253434	2
#20253395	2
#20253334	2
#20253299	2
#20253220	2
#20253219	2
#20252896	2
#20252613	2
C₂×#15689272	2
#20252248	2
#20252243	2
#20252223	2
#20252221	2
#20252045	2
C₄₇×#3042	2
#60579	47