Subgroups — #27080915

Order 12032.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256948	C₂	1	1	yes	maximal, characteristic
2	#20252398	C₂	1	2	yes	maximal, complemented
3	#20252387	C₂	1	2	yes	maximal, complemented
4	#20252379	C₂	1	2	yes	maximal, complemented
5	#20252376	C₂	1	2	yes	maximal, complemented
6	#20252366	C₂	1	2	yes	maximal, complemented
7	#20252358	C₂	1	2	yes	maximal, complemented
8	#20252358	C₂	1	2	yes	maximal, complemented
9	C₈×#10625352	C₂	1	2	yes	maximal, complemented
10	#20252332	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252321	C₂	1	1	yes	maximal, characteristic, complemented
12	M₁₆×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
13	#20252110	C₂	1	1	yes	maximal, characteristic, complemented
14	#20252085	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252083	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×(C₂²⋊D₄₇)⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252050	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252045	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252042	C₂	1	1	yes	maximal, characteristic, complemented
20	#131×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#15689081	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#2933	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094031	C₂²	1	1	yes	characteristic
25	C₂×M₁₆×D₄₇	C₂²	1	1	yes	characteristic
26	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
28	#15689844	C₄	1	1	yes	characteristic
29	#15689837	C₄	1	1	yes	characteristic
30	#15689831	C₄	1	1	yes	characteristic
31	#15689825	C₄	1	1	yes	characteristic
32	#15689820	C₄	1	1	yes	characteristic
33	#15689815	C₄	1	1	yes	characteristic
34	#15689810	C₄	1	2	yes	—
35	#15689807	C₄	1	1	yes	characteristic
36	#15689804	C₄	1	2	yes	—
37	#15689796	C₄	1	2	yes	—
38	#15689773	C₄	1	1	yes	characteristic
39	#15689760	C₄	1	2	yes	—
40	#15689676	C₂²	1	1	yes	characteristic
41	#15689655	C₂²	1	2	yes	—
42	#15689653	C₂²	1	2	yes	—
43	#15689653	C₂²	1	2	yes	—
44	#15689630	C₂²	1	1	yes	characteristic
45	#41×Dic₄₇	C₂²	1	1	yes	characteristic
46	C₄×#10625352	C₂²	1	2	yes	—
47	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
48	C₂×#13093983	C₂²	1	1	yes	characteristic
49	#117×D₄₇	C₂²	1	1	yes	characteristic
50	#15689253	C₂²	1	2	yes	complemented
51	#15689252	C₂²	1	2	yes	complemented
52	#15689252	C₂²	1	2	yes	complemented
53	#15689251	C₂²	1	2	yes	complemented
54	#15689251	C₂²	1	2	yes	complemented
55	C₈×Dic₉₄	C₂²	1	2	yes	complemented
56	#15689247	C₂²	1	2	yes	complemented
57	#15689247	C₂²	1	2	yes	complemented
58	#15689199	C₂²	1	2	yes	—
59	#15689199	C₂²	1	2	yes	complemented
60	#15689197	C₂²	1	2	yes	complemented
61	#15689197	C₂²	1	2	yes	complemented
62	#15689195	C₂²	1	2	yes	complemented
63	#15689195	C₂²	1	2	yes	complemented
64	#15689194	C₂²	1	2	yes	—
65	#15689194	C₂²	1	2	yes	complemented
66	#15689192	C₂²	1	2	yes	—
67	#15689192	C₂²	1	2	yes	complemented
68	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
69	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
70	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	—
71	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
72	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
73	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
74	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
75	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
76	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
77	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
78	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
79	(C₂²⋊D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
80	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
81	(C₂²⋊D₄₇)⋊C₈	C₂²	1	2	yes	complemented
82	#15689183	C₂²	1	2	yes	complemented
83	#15689183	C₂²	1	2	yes	complemented
84	#15689181	C₂²	1	2	yes	complemented
85	#15689181	C₂²	1	2	yes	complemented
86	#15689181	C₂²	1	2	yes	complemented
87	#15689181	C₂²	1	2	yes	complemented
88	#15689179	C₂²	1	2	yes	complemented
89	#15689177	C₂²	1	2	yes	complemented
90	#15689177	C₂²	1	2	yes	complemented
91	#15689175	C₂²	1	2	yes	complemented
92	#15689173	C₂²	1	2	yes	complemented
93	#15689173	C₂²	1	2	yes	complemented
94	#15689150	C₂²	1	1	yes	characteristic
95	#15689149	C₂²	1	1	yes	characteristic
96	#15689149	C₂²	1	1	yes	characteristic
97	#15689146	C₂²	1	1	yes	characteristic
98	C₂×Dic₄₇⋊C₈	C₂²	1	1	yes	characteristic
99	#15689090	C₂²	1	1	yes	characteristic
100	#15689087	C₂²	1	1	yes	characteristic
101	#15689086	C₂²	1	1	yes	characteristic
102	C₂×(C₂×D₄₇)⋊C₈	C₂²	1	1	yes	characteristic
103	#15689081	C₂²	1	1	yes	characteristic
104	#15689081	C₂²	1	1	yes	characteristic
105	#15689081	C₂²	1	1	yes	characteristic
106	#15689081	C₂²	1	1	yes	characteristic
107	#15689081	C₂²	1	2	yes	complemented
108	#15689081	C₂²	1	2	yes	complemented
109	#15689081	C₂²	1	2	yes	complemented
110	#15689080	C₂²	1	2	yes	complemented
111	#15689079	C₂²	1	1	yes	characteristic
112	#15689078	C₂²	1	1	yes	characteristic
113	#15689078	C₂²	1	1	yes	characteristic
114	#15689078	C₂²	1	2	yes	complemented
115	#15689077	C₂²	1	2	yes	complemented
116	M₁₆×Dic₄₇	C₂²	1	1	yes	characteristic
117	M₁₆×Dic₄₇	C₂²	1	2	yes	complemented
118	C₂×#13093934	C₂²	1	2	yes	complemented
119	#97×D₄₇	C₂²	1	2	yes	complemented
120	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
121	C₂×C₈×Dic₄₇	C₂²	1	2	yes	complemented
122	C₂×C₈×Dic₄₇	C₂²	1	2	yes	complemented
123	C₄×C₈×D₄₇	C₂²	1	2	yes	complemented
124	C₂×#131×C₄₇	C₂²	1	1	yes	characteristic
125	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
126	C₄₇×#525	C₂²	1	1	yes	characteristic
127	C₄₇×#436	C₂²	1	2	yes	complemented
128	C₄₇×#435	C₂²	1	2	yes	complemented
129	C₄₇×#435	C₂²	1	2	yes	complemented
130	C₈×D₄×C₄₇	C₂²	1	2	yes	complemented
131	C₄₇×#424	C₂²	1	1	yes	characteristic
132	C₄₇×#408	C₂²	1	1	yes	characteristic
133	C₂×C₂²⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
134	C₄₇×#405	C₂²	1	1	yes	characteristic
135	C₂×#10625352	C₂×C₄	1	2	yes	—
136	C₂²×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
137	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
138	#13094031	—	2	4	no	—
139	C₂×#10625329	C₂³	1	1	yes	characteristic
140	C₂×#10625329	C₂³	1	2	yes	—
141	C₂×#10625329	C₂³	1	1	yes	characteristic
142	C₂×#10625324	C₂³	1	2	yes	—
143	M₁₆×D₄₇	—	2	4	no	—
144	C₂²×C₄₇⋊C₈	—	2	4	no	—
145	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
146	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
147	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
148	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
149	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
150	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
151	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
152	C₂×C₈×D₄₇	—	2	4	no	—
153	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
154	C₂×C₈×D₄₇	C₂³	1	2	yes	—
155	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
157	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
158	#13094023	C₂×C₄	1	1	yes	characteristic
159	#13094023	C₂×C₄	1	1	yes	characteristic
160	#13094019	C₂×C₄	1	2	yes	—
161	#13094019	C₂×C₄	1	2	yes	—
162	#13094017	C₂×C₄	1	2	yes	—
163	#13094017	C₂×C₄	1	2	yes	—
164	#13094017	C₂×C₄	1	2	yes	—
165	#13094017	C₂×C₄	1	2	yes	—
166	#13094015	C₂×C₄	1	1	yes	characteristic
167	#13094015	C₂×C₄	1	2	yes	—
168	#13094015	C₂×C₄	1	1	yes	characteristic
169	#13094014	C₂×C₄	1	2	yes	—
170	#13094014	C₂×C₄	1	2	yes	—
171	#13094011	C₂×C₄	1	2	yes	—
172	#13094010	C₂×C₄	1	2	yes	—
173	#13094010	C₂×C₄	1	2	yes	—
174	#13094008	C₂×C₄	1	2	yes	—
175	#13094008	C₂×C₄	1	2	yes	—
176	#13094006	C₂×C₄	1	2	yes	—
177	#13094006	C₂×C₄	1	2	yes	—
178	#13094005	C₂×C₄	1	2	yes	—
179	#13094005	C₂×C₄	1	2	yes	—
180	#13094005	C₂×C₄	1	2	yes	—
181	#13094004	C₂×C₄	1	2	yes	—
182	#13094001	C₂×C₄	1	2	yes	—
183	#13094001	C₂×C₄	1	2	yes	—
184	#13094001	C₂×C₄	1	2	yes	—
185	#13094001	C₂×C₄	1	2	yes	—
186	#13094000	C₂×C₄	1	1	yes	characteristic
187	#13094000	C₂×C₄	1	1	yes	characteristic
188	#13093996	C₂×C₄	1	2	yes	—
189	#13093996	C₂×C₄	1	2	yes	—
190	#13093995	C₂×C₄	1	2	yes	—
191	#13093995	C₂×C₄	1	1	yes	characteristic
192	#13093995	C₂×C₄	1	1	yes	characteristic
193	#13093992	C₂×C₄	1	2	yes	—
194	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
195	Q₈×Dic₄₇	C₂×C₄	1	1	yes	characteristic
196	C₄×Dic₉₄	C₂³	1	2	yes	—
197	C₄×Dic₉₄	C₂³	1	2	yes	—
198	#13093989	C₂×C₄	1	2	yes	—
199	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
200	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
201	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
202	D₄×Dic₄₇	C₂×C₄	1	2	yes	—
203	D₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
204	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
205	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
206	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
207	C₄×C₂²⋊D₄₇	C₂×C₄	1	1	yes	characteristic
208	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
209	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
210	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
211	C₄×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
212	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
213	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
214	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
215	(C₂²⋊D₄₇)⋊C₄	C₂×C₄	1	2	yes	—
216	#13093983	C₂×C₄	1	2	yes	—
217	#13093983	C₂×C₄	1	1	yes	characteristic
218	#13093983	C₂×C₄	1	1	yes	characteristic
219	#13093983	C₂³	1	1	yes	characteristic
220	#13093983	C₂³	1	1	yes	characteristic
221	#13093983	C₂³	1	2	yes	—
222	#13093983	C₂³	1	2	yes	—
223	#13093982	C₂×C₄	1	2	yes	—
224	#13093982	C₂×C₄	1	1	yes	characteristic
225	#13093982	C₂×C₄	1	1	yes	characteristic
226	#13093981	C₂³	1	2	yes	—
227	#13093980	C₂×C₄	1	2	yes	—
228	#13093980	C₂×C₄	1	2	yes	—
229	#13093980	C₂×C₄	1	2	yes	—
230	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
233	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
234	C₄⋊C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	2	yes	—
236	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
237	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
238	C₂²⋊C₄×D₄₇	C₂×C₄	1	2	yes	—
239	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
240	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
242	C₄²×D₄₇	C₂³	1	2	yes	—
243	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
244	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
245	Dic₄₇⋊C₈	C₂³	1	2	yes	—
246	Dic₄₇⋊C₈	C₂³	1	2	yes	—
247	Dic₄₇⋊C₈	C₂³	1	2	yes	—
248	Dic₄₇⋊C₈	C₂³	1	2	yes	—
249	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
250	Dic₄₇⋊C₈	C₂³	1	2	yes	—
251	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
252	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
253	Dic₄₇⋊C₈	C₂³	1	2	yes	—
254	Dic₄₇⋊C₈	C₂³	1	1	yes	characteristic
255	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
256	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
257	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
258	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
259	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
260	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
261	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
262	(C₂×D₄₇)⋊C₈	C₂³	1	1	yes	characteristic
263	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
264	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
265	#13093935	C₂³	1	2	yes	—
266	#13093934	C₂³	1	2	yes	—
267	#13093934	C₂³	1	2	yes	—
268	#13093934	C₂³	1	2	yes	—
269	#13093934	C₂³	1	2	yes	—
270	#13093934	C₂³	1	2	yes	—
271	#13093934	C₂³	1	2	yes	—
272	#13093934	C₂³	1	2	yes	—
273	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
274	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
275	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
276	C₈×Dic₄₇	C₂³	1	2	yes	—
277	C₈×Dic₄₇	C₂³	1	2	yes	—
278	C₈×Dic₄₇	C₂³	1	2	yes	—
279	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
280	C₈×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₈×Dic₄₇	C₂³	1	2	yes	—
282	C₈×Dic₄₇	C₂³	1	2	yes	—
283	C₈×Dic₄₇	C₂³	1	2	yes	—
284	C₈×Dic₄₇	C₂³	1	2	yes	—
285	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
287	#131×C₄₇	—	2	4	no	—
288	C₂×M₁₆×C₄₇	—	2	4	no	—
289	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
290	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
291	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
292	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
293	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
295	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
296	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
297	#123×C₄₇	C₂×C₄	1	2	yes	—
298	C₂²⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
299	C₂²⋊Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
300	#121×C₄₇	C₂×C₄	1	1	yes	characteristic
301	#121×C₄₇	C₂×C₄	1	1	yes	characteristic
302	#120×C₄₇	C₂×C₄	1	2	yes	—
303	C₄×D₄×C₄₇	C₂³	1	2	yes	—
304	C₄×D₄×C₄₇	C₂³	1	2	yes	—
305	#117×C₄₇	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
307	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
310	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
311	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
312	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
313	C₂²⋊C₈×C₄₇	C₂³	1	2	yes	—
314	#97×C₄₇	C₂³	1	2	yes	—
315	C₄×C₈×C₄₇	C₂³	1	2	yes	—
316	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
317	C₂³×D₄₇	C₂²×C₄	1	1	yes	characteristic
318	#41×C₄₇	—	2	2	no	—
319	#41×C₄₇	—	2	2	no	—
320	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
321	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
322	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
323	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
324	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
325	C₂²×C₄×C₄₇	—	2	2	no	—
326	C₂²×C₄×C₄₇	—	2	2	no	—
327	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
328	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
329	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₇	—	2	4	no	—
335	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
336	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
337	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
338	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
339	C₂×C₂²⋊D₄₇	C₂²×C₄	1	2	yes	—
340	C₂×C₂²⋊D₄₇	C₂²×C₄	1	1	yes	characteristic
341	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
342	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
343	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
344	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
345	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
346	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
347	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
348	#10625352	—	2	8	no	—
349	C₂×C₄×D₄₇	—	2	2	no	—
350	C₂×C₄×D₄₇	—	2	2	no	—
351	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
352	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
353	C₂×C₄×D₄₇	C₂²×C₄	1	1	yes	characteristic
354	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
355	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
356	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
357	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
358	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
359	M₁₆×C₄₇	—	2	2	no	—
360	M₁₆×C₄₇	—	2	4	no	—
361	M₁₆×C₄₇	—	2	4	no	—
362	M₁₆×C₄₇	#41	1	4	yes	complemented
363	C₂×C₈×C₄₇	—	2	2	no	—
364	C₂×C₈×C₄₇	—	2	2	no	—
365	C₂×C₈×C₄₇	—	2	4	no	—
366	C₂×C₈×C₄₇	—	2	4	no	—
367	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
369	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
373	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
374	C₄⋊C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
375	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
376	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
377	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
378	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
379	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
380	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
381	C₂²⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
382	C₄²×C₄₇	C₂⁴	1	2	yes	—
383	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
384	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
385	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
386	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
387	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
388	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
389	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
390	C₂²⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
391	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
392	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
393	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
394	C₂²⋊Dic₄₇	C₂²×C₄	1	2	yes	—
395	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
396	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
397	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
398	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
400	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
401	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
402	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	2	yes	—
403	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
404	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
405	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
406	C₄⋊Dic₄₇	C₂²×C₄	1	1	yes	characteristic
407	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
408	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
409	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
410	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
411	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
412	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
413	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
414	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
415	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
416	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
417	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
418	Dic₄₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
420	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
421	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
422	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
423	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
424	Dic₄₇⋊C₄	C₂²×C₄	1	2	yes	—
425	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
426	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
427	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
428	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
429	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
430	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
431	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
432	C₄×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
433	C₄×Dic₄₇	C₂⁴	1	2	yes	—
434	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
435	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
436	C₄×Dic₄₇	C₂⁴	1	2	yes	—
437	#10625329	—	2	2	no	—
438	#10625329	—	2	2	no	—
439	#10625329	—	2	4	no	—
440	C₂×C₄₇⋊C₈	—	2	2	no	—
441	C₂×C₄₇⋊C₈	—	2	2	no	—
442	C₂×C₄₇⋊C₈	—	2	2	no	—
443	C₂×C₄₇⋊C₈	—	2	2	no	—
444	C₂×C₄₇⋊C₈	—	2	2	no	—
445	C₂×C₄₇⋊C₈	—	2	4	no	—
446	C₂×C₄₇⋊C₈	#41	1	4	yes	complemented
447	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
448	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
449	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
450	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
451	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
452	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
453	#10625324	—	2	4	no	—
454	C₈×D₄₇	—	2	4	no	—
455	C₈×D₄₇	—	2	2	no	—
456	C₈×D₄₇	—	2	2	no	—
457	C₈×D₄₇	—	2	2	no	—
458	C₈×D₄₇	—	2	2	no	—
459	C₂³×C₄₇	—	2	2	no	—
460	C₂³×C₄₇	—	2	2	no	—
461	C₂³×C₄₇	—	4	1	no	—
462	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
463	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
464	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
465	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
466	C₂²×D₄₇	—	2	2	no	—
467	C₂²×D₄₇	—	2	2	no	—
468	C₂²×D₄₇	—	4	1	no	—
469	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
470	C₂²×D₄₇	C₂³×C₄	1	1	yes	characteristic
471	Q₈×C₄₇	—	2	2	no	—
472	D₄×C₄₇	—	2	4	no	—
473	D₄×C₄₇	—	2	4	no	—
474	D₄×C₄₇	—	2	2	no	—
475	D₄×C₄₇	—	4	2	no	—
476	C₂×C₄×C₄₇	—	2	2	no	—
477	C₂×C₄×C₄₇	—	2	2	no	—
478	C₂×C₄×C₄₇	—	2	2	no	—
479	C₂×C₄×C₄₇	—	2	1	no	—
480	C₂×C₄×C₄₇	—	2	1	no	—
481	C₂×C₄×C₄₇	—	2	2	no	—
482	C₂×C₄×C₄₇	—	2	1	no	—
483	C₂×C₄×C₄₇	—	2	2	no	—
484	C₂×C₄×C₄₇	—	2	1	no	—
485	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
486	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
487	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
488	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
489	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
490	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
491	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
492	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
493	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
494	C₂²⋊D₄₇	—	2	2	no	—
495	C₂²⋊D₄₇	—	2	4	no	—
496	C₂²⋊D₄₇	—	2	2	no	—
497	C₂²⋊D₄₇	—	2	2	no	—
498	C₂²⋊D₄₇	—	4	2	no	—
499	C₂²⋊D₄₇	#131	1	4	yes	complemented
500	C₂×Dic₄₇	—	2	2	no	—
501	C₂×Dic₄₇	—	2	4	no	—
502	C₂×Dic₄₇	—	2	4	no	—
503	C₂×Dic₄₇	—	2	2	no	—
504	C₂×Dic₄₇	—	4	1	no	—
505	C₂×Dic₄₇	—	4	2	no	—
506	C₂×Dic₄₇	—	4	2	no	—
507	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
508	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
509	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
510	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
511	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
512	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
513	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
514	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
515	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
516	C₂×Dic₄₇	C₂³×C₄	1	1	yes	characteristic
517	C₄×D₄₇	—	2	4	no	—
518	C₄×D₄₇	—	2	2	no	—
519	C₄×D₄₇	—	2	2	no	—
520	C₄×D₄₇	—	2	1	no	—
521	C₄×D₄₇	—	2	1	no	—
522	C₄×D₄₇	—	2	1	no	—
523	C₄×D₄₇	—	2	1	no	—
524	C₄×D₄₇	—	4	2	no	—
525	Dic₉₄	—	2	4	no	—
526	Dic₉₄	—	4	2	no	—
527	C₈×C₄₇	—	2	1	no	—
528	C₈×C₄₇	—	2	1	no	—
529	C₈×C₄₇	—	2	1	no	—
530	C₈×C₄₇	—	2	1	no	—
531	C₈×C₄₇	—	2	2	no	—
532	C₈×C₄₇	C₂×#41	1	4	yes	—
533	C₄₇⋊C₈	—	2	2	no	—
534	C₄₇⋊C₈	—	2	1	no	—
535	C₄₇⋊C₈	—	2	1	no	—
536	C₄₇⋊C₈	—	2	2	no	—
537	C₄₇⋊C₈	C₂×#41	1	2	yes	—
538	C₄₇⋊C₈	C₂×#41	1	2	yes	—
539	#60215	—	47	1	no	maximal, Sylow
540	C₂²×C₄₇	—	2	1	no	—
541	C₂²×C₄₇	—	2	1	no	—
542	C₂²×C₄₇	—	2	1	no	—
543	C₂²×C₄₇	—	2	1	no	—
544	C₂²×C₄₇	—	2	1	no	—
545	C₂²×C₄₇	—	2	2	no	—
546	C₂²×C₄₇	—	2	2	no	—
547	C₂²×C₄₇	—	2	1	no	—
548	C₂²×C₄₇	—	2	2	no	—
549	C₂²×C₄₇	—	2	1	no	—
550	C₂²×C₄₇	—	4	4	no	—
551	C₂²×C₄₇	C₄×#41	1	2	yes	—
552	C₂²×C₄₇	C₂×#131	1	2	yes	—
553	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
554	C₂×D₄₇	—	2	1	no	—
555	C₂×D₄₇	—	2	1	no	—
556	C₂×D₄₇	—	2	1	no	—
557	C₂×D₄₇	—	2	1	no	—
558	C₂×D₄₇	—	2	1	no	—
559	C₂×D₄₇	—	4	4	no	—
560	C₂×D₄₇	C₂×#131	1	2	yes	—
561	C₄×C₄₇	—	2	1	no	—
562	C₄×C₄₇	—	2	1	no	—
563	C₄×C₄₇	—	2	2	no	—
564	C₄×C₄₇	—	2	2	no	—
565	C₄×C₄₇	—	2	2	no	—
566	C₄×C₄₇	C₄×#41	1	2	yes	—
567	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
568	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
569	Dic₄₇	—	2	1	no	—
570	Dic₄₇	—	2	1	no	—
571	Dic₄₇	—	2	2	no	—
572	Dic₄₇	—	2	2	no	—
573	Dic₄₇	—	2	1	no	—
574	Dic₄₇	—	2	1	no	—
575	Dic₄₇	—	2	2	no	—
576	Dic₄₇	—	2	2	no	—
577	Dic₄₇	—	2	1	no	—
578	Dic₄₇	C₂×#131	1	2	yes	—
579	#3475	—	47	1	no	—
580	#2970	—	47	2	no	—
581	#2969	—	47	2	no	—
582	#2968	—	47	2	no	—
583	#2968	—	47	2	no	—
584	#2966	—	47	2	no	—
585	#2966	—	47	2	no	—
586	#2966	—	47	2	no	—
587	C₈×#41	—	47	2	no	—
588	#2962	—	47	1	no	—
589	#2960	—	47	1	no	—
590	D₄×M₁₆	—	47	1	no	—
591	#2933	—	47	1	no	—
592	#2933	D₄₇	1	1	yes	characteristic, complemented
593	#2929	—	47	1	no	—
594	#2929	—	47	1	no	—
595	C₂×C₈×D₄	—	47	1	no	—
596	#2925	—	47	1	no	—
597	#2924	—	47	1	no	—
598	#2924	—	47	1	no	—
599	C₄×#131	—	47	1	no	—
600	C₂×#405	—	47	1	no	—
601	C₂×#405	—	47	1	no	—
602	C₂×C₄₇	—	2	2	no	—
603	C₂×C₄₇	—	2	2	no	—
604	C₂×C₄₇	—	4	2	no	—
605	C₂×C₄₇	—	4	1	no	—
606	C₂×C₄₇	C₂×C₄×#41	1	1	yes	characteristic
607	C₂×C₄₇	C₂²×#131	1	1	yes	characteristic
608	C₂×C₄₇	#3573	1	1	yes	characteristic
609	D₄₇	—	2	2	no	—
610	D₄₇	—	4	1	no	—
611	C₂×#131	—	47	1	no	—
612	C₂×#131	C₂×D₄₇	1	1	yes	characteristic
613	C₂²×M₁₆	—	47	1	no	—
614	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic
615	C₂³×C₈	—	47	1	no	—
616	C₂³×C₈	—	47	1	no	—
617	#556	—	47	1	no	—
618	#555	—	47	1	no	—
619	#554	—	47	1	no	—
620	#553	—	47	1	no	—
621	#553	—	47	1	no	—
622	#552	—	47	2	no	—
623	#552	—	47	1	no	—
624	#552	—	47	1	no	—
625	#551	—	47	2	no	—
626	#551	—	47	2	no	—
627	#547	—	47	1	no	—
628	#546	—	47	2	no	—
629	#533	—	47	1	no	—
630	#529	—	47	2	no	—
631	#529	—	47	2	no	—
632	#529	—	47	2	no	—
633	#525	—	47	1	no	—
634	#525	C₂×D₄₇	1	1	yes	characteristic
635	C₄×#41	—	47	1	no	—
636	C₄×#41	—	47	2	no	—
637	C₂×C₄×D₄	—	47	1	no	—
638	C₂×#117	—	47	1	no	—
639	C₂×#117	—	47	1	no	—
640	#446	—	47	2	no	—
641	#446	—	47	2	no	—
642	#446	—	47	2	no	—
643	#446	—	47	2	no	—
644	#446	—	47	2	no	—
645	C₈×Q₈	—	47	2	no	—
646	C₈×Q₈	—	47	2	no	—
647	C₈×Q₈	—	47	2	no	—
648	#436	—	47	2	no	—
649	#436	—	47	2	no	—
650	#436	C₂×D₄₇	1	2	yes	complemented
651	#435	—	47	2	no	—
652	#435	—	47	2	no	—
653	#435	—	47	2	no	—
654	#435	—	47	2	no	—
655	#435	—	47	2	no	—
656	#435	—	47	2	no	—
657	#435	—	47	2	no	—
658	#435	—	47	2	no	—
659	#435	C₂×D₄₇	1	2	yes	complemented
660	#435	C₂×D₄₇	1	2	yes	complemented
661	C₈×D₄	—	47	2	no	—
662	C₈×D₄	—	47	2	no	—
663	C₈×D₄	—	47	2	no	—
664	C₈×D₄	—	47	2	no	—
665	C₈×D₄	—	47	1	no	—
666	C₈×D₄	—	47	1	no	—
667	C₈×D₄	—	47	1	no	—
668	C₈×D₄	—	47	1	no	—
669	C₈×D₄	—	47	1	no	—
670	C₈×D₄	—	47	1	no	—
671	C₈×D₄	—	47	1	no	—
672	C₈×D₄	—	47	1	no	—
673	C₈×D₄	—	47	2	no	—
674	C₈×D₄	—	47	2	no	—
675	C₈×D₄	C₂×D₄₇	1	2	yes	complemented
676	#433	—	47	2	no	—
677	#433	—	47	2	no	—
678	#433	—	47	2	no	—
679	#433	—	47	2	no	—
680	#433	—	47	2	no	—
681	#433	—	47	2	no	—
682	#432	—	47	2	no	—
683	#432	—	47	2	no	—
684	#432	—	47	2	no	—
685	#431	—	47	2	no	—
686	#431	—	47	2	no	—
687	#431	—	47	2	no	—
688	#424	—	47	1	no	—
689	#424	—	47	1	no	—
690	#424	—	47	1	no	—
691	#424	C₂×D₄₇	1	1	yes	characteristic
692	#423	—	47	1	no	—
693	C₂×C₄⋊C₈	—	47	1	no	—
694	#408	—	47	1	no	—
695	#408	C₂×D₄₇	1	1	yes	characteristic
696	#407	—	47	1	no	—
697	#407	—	47	1	no	—
698	C₂×C₂²⋊C₈	—	47	1	no	—
699	C₂×C₂²⋊C₈	C₂×D₄₇	1	1	yes	characteristic
700	#405	—	47	1	no	—
701	#405	—	47	1	no	—
702	#405	—	47	1	no	—
703	#405	—	47	1	no	—
704	#405	—	47	2	no	—
705	#405	—	47	2	no	—
706	#405	—	47	2	no	—
707	#405	—	47	1	no	—
708	#405	—	47	1	no	—
709	#405	—	47	2	no	—
710	#405	—	47	1	no	—
711	#405	—	47	2	no	—
712	#405	—	47	2	no	—
713	#405	C₂×D₄₇	1	1	yes	characteristic
714	C₄×M₁₆	—	47	1	no	—
715	C₄×M₁₆	—	47	2	no	—
716	C₂×#97	—	47	2	no	—
717	C₂×#97	—	47	2	no	—
718	C₂×C₄×C₈	—	47	2	no	—
719	C₂×C₄×C₈	—	47	1	no	—
720	C₂×C₄×C₈	—	47	2	no	—
721	C₂×C₄×C₈	—	47	2	no	—
722	C₄₇	#60215	1	1	yes	characteristic, complemented, Sylow
723	C₂×#41	—	47	2	no	—
724	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
725	C₂²×D₄	—	47	1	no	—
726	C₂³×C₄	—	47	1	no	—
727	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
728	#131	—	2	4	no	—
729	#131	—	94	4	no	—
730	C₂×M₁₆	—	2	4	no	—
731	C₂×M₁₆	—	47	1	no	—
732	C₂×M₁₆	—	47	1	no	—
733	C₂×M₁₆	—	47	2	no	—
734	C₂×M₁₆	—	47	2	no	—
735	C₂×M₁₆	—	94	4	no	—
736	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
737	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
738	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
739	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
740	C₂²×C₈	—	47	1	no	—
741	C₂²×C₈	—	47	1	no	—
742	C₂²×C₈	—	47	1	no	—
743	C₂²×C₈	—	47	1	no	—
744	C₂²×C₈	—	47	1	no	—
745	C₂²×C₈	—	47	1	no	—
746	C₂²×C₈	—	47	2	no	—
747	C₂²×C₈	—	47	1	no	—
748	C₂²×C₈	—	47	1	no	—
749	C₂²×C₈	—	47	1	no	—
750	C₂²×C₈	—	47	1	no	—
751	C₂²×C₈	—	47	2	no	—
752	C₂²×C₈	—	94	4	no	—
753	C₂²×C₈	—	94	4	no	—
754	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
755	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
756	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
757	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
758	C₄⋊Q₈	—	47	1	no	—
759	C₄⋊Q₈	—	47	1	no	—
760	#126	—	47	2	no	—
761	#126	—	47	2	no	—
762	#126	—	47	2	no	—
763	#126	—	47	2	no	—
764	#126	—	47	2	no	—
765	#126	—	47	2	no	—
766	#125	—	47	2	no	—
767	#125	—	47	2	no	—
768	#125	—	47	2	no	—
769	#125	—	47	1	no	—
770	#125	—	47	1	no	—
771	#124	—	47	2	no	—
772	#124	—	47	2	no	—
773	#124	—	47	2	no	—
774	#123	—	47	2	no	—
775	#123	—	47	2	no	—
776	#123	—	47	2	no	—
777	#123	—	47	2	no	—
778	#123	—	47	2	no	—
779	#123	—	47	2	no	—
780	#123	—	47	2	no	—
781	#123	C₄×D₄₇	1	2	yes	—
782	C₂²⋊Q₈	—	47	1	no	—
783	C₂²⋊Q₈	—	47	1	no	—
784	C₂²⋊Q₈	—	47	2	no	—
785	C₂²⋊Q₈	—	47	2	no	—
786	C₂²⋊Q₈	—	47	2	no	—
787	C₂²⋊Q₈	—	47	2	no	—
788	C₂²⋊Q₈	—	47	2	no	—
789	C₂²⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
790	C₂²⋊Q₈	C₄×D₄₇	1	1	yes	characteristic
791	#121	—	47	1	no	—
792	#121	—	47	1	no	—
793	#121	—	47	2	no	—
794	#121	—	47	2	no	—
795	#121	—	47	2	no	—
796	#121	C₄×D₄₇	1	1	yes	characteristic
797	#121	C₄×D₄₇	1	1	yes	characteristic
798	#120	—	47	2	no	—
799	#120	C₄×D₄₇	1	2	yes	—
800	C₄×Q₈	—	47	1	no	—
801	C₄×Q₈	—	47	1	no	—
802	C₄×Q₈	—	47	2	no	—
803	C₄×Q₈	—	47	2	no	—
804	C₄×Q₈	—	47	2	no	—
805	C₄×D₄	—	47	2	no	—
806	C₄×D₄	—	47	1	no	—
807	C₄×D₄	—	47	2	no	—
808	C₄×D₄	—	47	2	no	—
809	C₄×D₄	—	47	1	no	—
810	C₄×D₄	—	47	1	no	—
811	C₄×D₄	—	47	1	no	—
812	C₄×D₄	—	47	1	no	—
813	C₄×D₄	—	47	1	no	—
814	C₄×D₄	—	47	1	no	—
815	C₄×D₄	—	47	1	no	—
816	C₄×D₄	—	47	1	no	—
817	C₄×D₄	—	47	1	no	—
818	C₄×D₄	—	47	2	no	—
819	C₄×D₄	—	47	2	no	—
820	C₄×D₄	—	47	2	no	—
821	C₄×D₄	—	47	2	no	—
822	C₄×D₄	C₂²×D₄₇	1	2	yes	—
823	C₄×D₄	C₂²×D₄₇	1	2	yes	—
824	#117	—	47	2	no	—
825	#117	—	47	1	no	—
826	#117	—	47	1	no	—
827	#117	—	47	1	no	—
828	#117	—	47	1	no	—
829	#117	—	47	2	no	—
830	#117	—	47	2	no	—
831	#117	—	47	1	no	—
832	#117	—	47	1	no	—
833	#117	—	47	2	no	—
834	#117	—	47	2	no	—
835	#117	—	47	2	no	—
836	#117	—	47	2	no	—
837	#117	—	47	2	no	—
838	#117	C₂²×D₄₇	1	1	yes	characteristic
839	C₂×C₄⋊C₄	—	47	1	no	—
840	C₂×C₄⋊C₄	—	47	1	no	—
841	C₂×C₄⋊C₄	—	47	1	no	—
842	C₂×C₄⋊C₄	—	47	1	no	—
843	C₂×C₄⋊C₄	—	47	1	no	—
844	C₂×C₂²⋊C₄	—	47	2	no	—
845	C₂×C₂²⋊C₄	—	47	1	no	—
846	C₂×C₂²⋊C₄	—	47	1	no	—
847	C₂×C₂²⋊C₄	—	47	2	no	—
848	C₂×C₄²	—	47	2	no	—
849	C₂×C₄²	—	47	1	no	—
850	C₂×C₄²	—	47	2	no	—
851	C₂×C₄²	—	47	2	no	—
852	C₄⋊C₈	—	47	1	no	—
853	C₄⋊C₈	—	47	1	no	—
854	C₄⋊C₈	—	47	1	no	—
855	C₄⋊C₈	—	47	1	no	—
856	C₄⋊C₈	—	47	2	no	—
857	C₄⋊C₈	—	47	2	no	—
858	C₄⋊C₈	—	47	2	no	—
859	C₄⋊C₈	—	47	2	no	—
860	C₄⋊C₈	—	47	2	no	—
861	C₄⋊C₈	—	47	2	no	—
862	C₄⋊C₈	—	47	2	no	—
863	C₄⋊C₈	—	47	2	no	—
864	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
865	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
866	C₂²⋊C₈	—	47	2	no	—
867	C₂²⋊C₈	—	47	2	no	—
868	C₂²⋊C₈	—	47	2	no	—
869	C₂²⋊C₈	—	47	2	no	—
870	C₂²⋊C₈	—	47	1	no	—
871	C₂²⋊C₈	—	47	1	no	—
872	C₂²⋊C₈	—	47	1	no	—
873	C₂²⋊C₈	—	47	1	no	—
874	C₂²⋊C₈	—	47	2	no	—
875	C₂²⋊C₈	—	47	2	no	—
876	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
877	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
878	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
879	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
880	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
881	C₂²⋊C₈	C₂²×D₄₇	1	2	yes	—
882	#97	—	47	2	no	—
883	#97	—	47	2	no	—
884	#97	—	47	2	no	—
885	#97	—	47	2	no	—
886	#97	—	47	2	no	—
887	#97	—	47	2	no	—
888	#97	—	47	2	no	—
889	#97	—	47	2	no	—
890	#97	C₂²×D₄₇	1	2	yes	—
891	C₄×C₈	—	47	2	no	—
892	C₄×C₈	—	47	1	no	—
893	C₄×C₈	—	47	1	no	—
894	C₄×C₈	—	47	2	no	—
895	C₄×C₈	—	47	2	no	—
896	C₄×C₈	—	47	2	no	—
897	C₄×C₈	—	47	2	no	—
898	C₄×C₈	—	47	1	no	—
899	C₄×C₈	—	47	2	no	—
900	C₄×C₈	—	47	1	no	—
901	C₄×C₈	—	47	2	no	—
902	C₄×C₈	—	47	2	no	—
903	C₄×C₈	C₂²×D₄₇	1	2	yes	—
904	C₂⁴	—	47	1	no	—
905	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
906	#41	—	2	2	no	—
907	#41	—	2	2	no	—
908	#41	—	94	8	no	—
909	C₂×Q₈	—	47	2	no	—
910	C₂×Q₈	—	47	2	no	—
911	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
912	C₂×D₄	—	47	1	no	—
913	C₂×D₄	—	47	2	no	—
914	C₂×D₄	—	47	1	no	—
915	C₂×D₄	—	47	1	no	—
916	C₂×D₄	—	47	1	no	—
917	C₂×D₄	—	47	2	no	—
918	C₂×D₄	—	94	4	no	—
919	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
920	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
921	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
922	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	47	2	no	—
926	C₂²×C₄	—	47	1	no	—
927	C₂²×C₄	—	47	2	no	—
928	C₂²×C₄	—	47	1	no	—
929	C₂²×C₄	—	47	1	no	—
930	C₂²×C₄	—	47	2	no	—
931	C₂²×C₄	—	47	2	no	—
932	C₂²×C₄	—	47	2	no	—
933	C₂²×C₄	—	47	1	no	—
934	C₂²×C₄	—	47	1	no	—
935	C₂²×C₄	—	47	1	no	—
936	C₂²×C₄	—	47	1	no	—
937	C₂²×C₄	—	47	2	no	—
938	C₂²×C₄	—	94	2	no	—
939	C₂²×C₄	—	94	2	no	—
940	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
941	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
942	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
943	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
944	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
945	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
946	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
947	M₁₆	—	2	2	no	—
948	M₁₆	—	2	4	no	—
949	M₁₆	—	2	4	no	—
950	M₁₆	—	94	4	no	—
951	M₁₆	—	94	2	no	—
952	M₁₆	—	94	2	no	—
953	M₁₆	—	94	4	no	—
954	M₁₆	#10625352	1	4	yes	complemented
955	C₂×C₈	—	2	2	no	—
956	C₂×C₈	—	2	2	no	—
957	C₂×C₈	—	2	4	no	—
958	C₂×C₈	—	2	4	no	—
959	C₂×C₈	—	47	4	no	—
960	C₂×C₈	—	47	1	no	—
961	C₂×C₈	—	47	1	no	—
962	C₂×C₈	—	47	1	no	—
963	C₂×C₈	—	47	2	no	—
964	C₂×C₈	—	47	2	no	—
965	C₂×C₈	—	47	1	no	—
966	C₂×C₈	—	94	2	no	—
967	C₂×C₈	—	94	2	no	—
968	C₂×C₈	—	94	2	no	—
969	C₂×C₈	—	94	2	no	—
970	C₂×C₈	—	94	2	no	—
971	C₂×C₈	—	94	2	no	—
972	C₂×C₈	—	94	2	no	—
973	C₂×C₈	—	94	2	no	—
974	C₂×C₈	—	94	4	no	—
975	C₂×C₈	—	94	2	no	—
976	C₂×C₈	—	94	4	no	—
977	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
978	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
979	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
980	C₂×C₈	C₂³×D₄₇	1	2	yes	—
981	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
982	C₂×C₈	C₂³×D₄₇	1	2	yes	—
983	C₄⋊C₄	—	47	1	no	—
984	C₄⋊C₄	—	47	2	no	—
985	C₄⋊C₄	—	47	2	no	—
986	C₄⋊C₄	—	47	1	no	—
987	C₄⋊C₄	—	47	1	no	—
988	C₄⋊C₄	—	47	1	no	—
989	C₄⋊C₄	—	47	2	no	—
990	C₄⋊C₄	—	47	2	no	—
991	C₄⋊C₄	—	47	2	no	—
992	C₄⋊C₄	—	47	2	no	—
993	C₄⋊C₄	—	47	2	no	—
994	C₄⋊C₄	—	47	2	no	—
995	C₄⋊C₄	—	47	1	no	—
996	C₄⋊C₄	—	47	1	no	—
997	C₄⋊C₄	—	47	1	no	—
998	C₄⋊C₄	—	47	1	no	—
999	C₄⋊C₄	—	47	2	no	—
1000	C₄⋊C₄	—	47	2	no	—
1001	C₄⋊C₄	—	47	2	no	—
1002	C₄⋊C₄	—	47	2	no	—
1003	C₄⋊C₄	—	47	2	no	—
1004	C₄⋊C₄	—	47	2	no	—
1005	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1006	C₄⋊C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
1007	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1008	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1009	C₂²⋊C₄	—	47	2	no	—
1010	C₂²⋊C₄	—	47	1	no	—
1011	C₂²⋊C₄	—	47	2	no	—
1012	C₂²⋊C₄	—	47	2	no	—
1013	C₂²⋊C₄	—	47	2	no	—
1014	C₂²⋊C₄	—	47	1	no	—
1015	C₂²⋊C₄	—	47	1	no	—
1016	C₂²⋊C₄	—	47	1	no	—
1017	C₂²⋊C₄	—	47	2	no	—
1018	C₂²⋊C₄	—	47	2	no	—
1019	C₂²⋊C₄	—	47	2	no	—
1020	C₂²⋊C₄	—	47	2	no	—
1021	C₂²⋊C₄	—	47	1	no	—
1022	C₂²⋊C₄	—	47	2	no	—
1023	C₂²⋊C₄	—	47	2	no	—
1024	C₂²⋊C₄	—	47	1	no	—
1025	C₂²⋊C₄	—	47	1	no	—
1026	C₂²⋊C₄	—	47	1	no	—
1027	C₂²⋊C₄	—	47	2	no	—
1028	C₂²⋊C₄	—	47	2	no	—
1029	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1030	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1031	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1032	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1033	C₂²⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
1034	C₄²	—	47	2	no	—
1035	C₄²	—	47	2	no	—
1036	C₄²	—	47	2	no	—
1037	C₄²	—	47	2	no	—
1038	C₄²	—	47	2	no	—
1039	C₄²	—	47	1	no	—
1040	C₄²	—	47	1	no	—
1041	C₄²	—	47	2	no	—
1042	C₄²	—	47	2	no	—
1043	C₄²	—	47	1	no	—
1044	C₄²	—	47	1	no	—
1045	C₄²	—	47	2	no	—
1046	C₄²	C₂³×D₄₇	1	2	yes	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	4	1	no	—
1050	C₂³	—	47	1	no	—
1051	C₂³	—	47	1	no	—
1052	C₂³	—	94	2	no	—
1053	C₂³	—	94	2	no	—
1054	C₂³	—	188	1	no	—
1055	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1056	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1057	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1058	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
1059	Q₈	—	2	2	no	—
1060	Q₈	—	94	4	no	—
1061	Q₈	—	188	2	no	—
1062	D₄	—	2	4	no	—
1063	D₄	—	2	4	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	47	4	no	—
1067	D₄	—	94	2	no	—
1068	D₄	—	94	2	no	—
1069	D₄	—	94	4	no	—
1070	D₄	—	94	2	no	—
1071	D₄	—	188	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	47	1	no	—
1082	C₂×C₄	—	47	2	no	—
1083	C₂×C₄	—	47	1	no	—
1084	C₂×C₄	—	47	2	no	—
1085	C₂×C₄	—	47	1	no	—
1086	C₂×C₄	—	47	1	no	—
1087	C₂×C₄	—	47	2	no	—
1088	C₂×C₄	—	47	2	no	—
1089	C₂×C₄	—	47	1	no	—
1090	C₂×C₄	—	47	1	no	—
1091	C₂×C₄	—	94	4	no	—
1092	C₂×C₄	—	94	2	no	—
1093	C₂×C₄	—	94	4	no	—
1094	C₂×C₄	—	94	2	no	—
1095	C₂×C₄	—	94	4	no	—
1096	C₂×C₄	—	94	2	no	—
1097	C₂×C₄	—	94	2	no	—
1098	C₂×C₄	—	94	1	no	—
1099	C₂×C₄	—	94	1	no	—
1100	C₂×C₄	—	94	1	no	—
1101	C₂×C₄	—	94	1	no	—
1102	C₂×C₄	—	188	2	no	—
1103	C₂×C₄	—	188	2	no	—
1104	C₂×C₄	—	188	2	no	—
1105	C₂×C₄	—	188	1	no	—
1106	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1107	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1108	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1109	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1110	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1111	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
1112	C₂×C₄	#41×D₄₇	1	2	yes	—
1113	C₂×C₄	C₂×#10625352	1	2	yes	—
1114	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₈	—	2	2	no	—
1120	C₈	—	47	2	no	—
1121	C₈	—	47	2	no	—
1122	C₈	—	94	1	no	—
1123	C₈	—	94	1	no	—
1124	C₈	—	94	2	no	—
1125	C₈	—	94	2	no	—
1126	C₈	C₂×#10625352	1	4	yes	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	4	4	no	—
1138	C₂²	—	47	2	no	—
1139	C₂²	—	94	1	no	—
1140	C₂²	—	94	1	no	—
1141	C₂²	—	94	1	no	—
1142	C₂²	—	94	1	no	—
1143	C₂²	—	94	1	no	—
1144	C₂²	—	188	4	no	—
1145	C₂²	C₄×#10625352	1	2	yes	—
1146	C₂²	#131×D₄₇	1	2	yes	—
1147	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	2	no	—
1153	C₄	—	47	2	no	—
1154	C₄	—	94	2	no	—
1155	C₄	—	94	1	no	—
1156	C₄	—	94	2	no	—
1157	C₄	—	94	2	no	—
1158	C₄	—	94	1	no	—
1159	C₄	—	94	2	no	—
1160	C₄	—	94	1	no	—
1161	C₄	—	94	1	no	—
1162	C₄	—	94	1	no	—
1163	C₄	C₄×#10625352	1	2	yes	—
1164	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1165	C₄	C₂²×#10625352	1	1	yes	characteristic
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	2	no	—
1170	C₂	—	94	2	no	—
1171	C₂	—	188	1	no	—
1172	C₂	C₂×C₄×#10625352	1	1	yes	characteristic
1173	C₂	C₂×#131×D₄₇	1	1	yes	characteristic
1174	C₂	#20258101	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₄₇×#2933	C₂
prime radical	#20256948	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	#2933	D₄₇
hypocenter	C₄₇	#60215
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #2933

Complements

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

N	H ≅ G/N	type
2. #20252398	C₂	semidirect
3. #20252387	C₂	semidirect
4. #20252379	C₂	semidirect
5. #20252376	C₂	semidirect
6. #20252366	C₂	semidirect
7. #20252358	C₂	semidirect
8. #20252358	C₂	semidirect
9. C₈×#10625352	C₂	semidirect
10. #20252332	C₂	semidirect
11. #20252321	C₂	semidirect
12. M₁₆×C₂²⋊D₄₇	C₂	semidirect
13. #20252110	C₂	semidirect
14. #20252085	C₂	semidirect
15. #20252083	C₂	semidirect
16. C₂×(C₂²⋊D₄₇)⋊C₈	C₂	semidirect
17. #20252050	C₂	semidirect
18. #20252045	C₂	semidirect
19. #20252042	C₂	semidirect
20. #131×Dic₄₇	C₂	semidirect
21. C₂×#15689081	C₂	semidirect
22. #405×D₄₇	C₂	semidirect
23. C₄₇×#2933	C₂	semidirect
50. #15689253	C₂²	semidirect
51. #15689252	C₂²	semidirect
52. #15689252	C₂²	semidirect
53. #15689251	C₂²	semidirect
54. #15689251	C₂²	semidirect
55. C₈×Dic₉₄	C₂²	semidirect
56. #15689247	C₂²	semidirect
57. #15689247	C₂²	semidirect
59. #15689199	C₂²	semidirect
60. #15689197	C₂²	semidirect
61. #15689197	C₂²	semidirect
62. #15689195	C₂²	semidirect
63. #15689195	C₂²	semidirect
65. #15689194	C₂²	semidirect
67. #15689192	C₂²	semidirect
68. D₄×C₄₇⋊C₈	C₂²	semidirect
69. D₄×C₄₇⋊C₈	C₂²	semidirect
71. C₈×C₂²⋊D₄₇	C₂²	semidirect
80. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
81. (C₂²⋊D₄₇)⋊C₈	C₂²	semidirect
82. #15689183	C₂²	semidirect
83. #15689183	C₂²	semidirect
84. #15689181	C₂²	semidirect
85. #15689181	C₂²	semidirect
86. #15689181	C₂²	semidirect
87. #15689181	C₂²	semidirect
88. #15689179	C₂²	semidirect
89. #15689177	C₂²	semidirect
90. #15689177	C₂²	semidirect
91. #15689175	C₂²	semidirect
92. #15689173	C₂²	semidirect
93. #15689173	C₂²	semidirect
107. #15689081	C₂²	semidirect
108. #15689081	C₂²	semidirect
109. #15689081	C₂²	semidirect
110. #15689080	C₂²	semidirect
114. #15689078	C₂²	semidirect
115. #15689077	C₂²	semidirect
117. M₁₆×Dic₄₇	C₂²	semidirect
118. C₂×#13093934	C₂²	semidirect
119. #97×D₄₇	C₂²	semidirect
121. C₂×C₈×Dic₄₇	C₂²	semidirect
122. C₂×C₈×Dic₄₇	C₂²	semidirect
123. C₄×C₈×D₄₇	C₂²	semidirect
127. C₄₇×#436	C₂²	semidirect
128. C₄₇×#435	C₂²	semidirect
129. C₄₇×#435	C₂²	semidirect
130. C₈×D₄×C₄₇	C₂²	semidirect
362. M₁₆×C₄₇	#41	semidirect
446. C₂×C₄₇⋊C₈	#41	semidirect
499. C₂²⋊D₄₇	#131	semidirect
592. #2933	D₄₇	semidirect
650. #436	C₂×D₄₇	semidirect
659. #435	C₂×D₄₇	semidirect
660. #435	C₂×D₄₇	semidirect
675. C₈×D₄	C₂×D₄₇	semidirect
722. C₄₇	#60215	semidirect
954. M₁₆	#10625352	semidirect

Maximal subgroups

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

subgroup	index
#20256948	2
#20252398	2
#20252387	2
#20252379	2
#20252376	2
#20252366	2
#20252358	2
C₈×#10625352	2
#20252332	2
#20252321	2
M₁₆×C₂²⋊D₄₇	2
#20252110	2
#20252085	2
#20252083	2
C₂×(C₂²⋊D₄₇)⋊C₈	2
#20252050	2
#20252045	2
#20252042	2
#131×Dic₄₇	2
C₂×#15689081	2
#405×D₄₇	2
C₄₇×#2933	2
#60215	47