Subgroups — #26379602

Order 12032.

2586 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246536	C₂	1	4	yes	maximal, complemented
2	#20246408	C₂	1	2	yes	maximal, complemented
3	#20246397	C₂	1	2	yes	maximal, complemented
4	#20246328	C₂	1	2	yes	maximal, complemented
5	#20246298	C₂	1	2	yes	maximal, complemented
6	#20246281	C₂	1	1	yes	maximal, characteristic, complemented
7	#20246273	C₂	1	1	yes	maximal, characteristic, complemented
8	#20246229	C₂	1	1	yes	maximal, characteristic, complemented
9	#20246218	C₂	1	1	yes	maximal, characteristic, complemented
10	#20246083	C₂	1	2	yes	maximal, complemented
11	#20246072	C₂	1	2	yes	maximal, complemented
12	#20246049	C₂	1	4	yes	maximal, complemented
13	#20246031	C₂	1	2	yes	maximal, complemented
14	#20246021	C₂	1	2	yes	maximal, complemented
15	#20245771	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15688983	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄₇×#525	C₂	1	1	yes	maximal, characteristic
18	C₂×Q₈×Dic₄₇	C₂²	1	2	yes	complemented
19	C₂×D₄×Dic₄₇	C₂²	1	4	yes	—
20	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
21	C₂×#13093983	C₂²	1	2	yes	—
22	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
23	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
24	#15689030	C₂²	1	2	yes	complemented
25	#15689026	C₂²	1	4	yes	—
26	#15689026	C₂²	1	4	yes	—
27	#15689026	C₂²	1	2	yes	complemented
28	#15689022	C₂²	1	2	yes	complemented
29	#15689022	C₂²	1	4	yes	complemented
30	#15689022	C₂²	1	4	yes	complemented
31	#15689022	C₂²	1	2	yes	complemented
32	#15689016	C₂²	1	4	yes	—
33	#15689016	C₂²	1	4	yes	—
34	#15689016	C₂²	1	4	yes	—
35	#15689016	C₂²	1	4	yes	—
36	#15689016	C₂²	1	4	yes	complemented
37	#15689016	C₂²	1	4	yes	complemented
38	#15689009	C₂²	1	4	yes	complemented
39	#15689009	C₂²	1	4	yes	complemented
40	#15689003	C₂²	1	4	yes	—
41	#15689003	C₂²	1	4	yes	—
42	#15689003	C₂²	1	4	yes	—
43	#15688998	C₂²	1	4	yes	—
44	#15688998	C₂²	1	4	yes	complemented
45	#15688998	C₂²	1	4	yes	complemented
46	#15688991	C₂²	1	2	yes	complemented
47	#15688989	C₂²	1	2	yes	complemented
48	#15688986	C₂²	1	1	yes	characteristic
49	#15688986	C₂²	1	1	yes	characteristic
50	#15688986	C₂²	1	2	yes	complemented
51	#15688983	C₂²	1	1	yes	characteristic
52	#15688983	C₂²	1	2	yes	—
53	#15688983	C₂²	1	2	yes	—
54	#15688983	C₂²	1	1	yes	characteristic
55	#15688983	C₂²	1	2	yes	—
56	#15688983	C₂²	1	2	yes	—
57	#15688983	C₂²	1	1	yes	characteristic
58	#15688983	C₂²	1	1	yes	characteristic
59	#15688983	C₂²	1	2	yes	complemented
60	#15688979	C₂²	1	2	yes	—
61	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	complemented
62	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	complemented
63	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
64	C₂²⋊C₄×Dic₄₇	C₂²	1	4	yes	—
65	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
68	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
69	#15688969	C₂²	1	2	yes	complemented
70	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
71	C₂×C₄₇⋊#95	C₂²	1	2	yes	complemented
72	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
73	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
74	C₄₇×#525	C₄	1	16	yes	complemented
75	C₂×#123×C₄₇	C₂²	1	2	yes	—
76	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
77	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
78	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
79	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
80	C₂×#120×C₄₇	C₂²	1	2	yes	—
81	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
82	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
83	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
84	C₂³×Dic₄₇	C₂³	1	4	yes	—
85	C₂³×Dic₄₇	C₂³	1	4	yes	—
86	Q₈×Dic₄₇	—	4	4	no	—
87	D₄×Dic₄₇	—	4	4	no	—
88	D₄×Dic₄₇	—	4	8	no	—
89	#13093983	—	4	4	no	—
90	C₂×C₄⋊Dic₄₇	—	4	4	no	—
91	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
92	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
93	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
94	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
95	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
96	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
97	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
98	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
99	C₂×C₂²⋊Dic₄₇	—	4	4	no	—
100	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
101	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
102	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
103	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
104	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
105	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
106	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
107	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
108	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
109	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
110	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
111	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
112	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
113	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
114	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
115	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
116	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
117	C₄₇⋊#95	C₂³	1	2	yes	—
118	C₄₇⋊#95	C₂³	1	2	yes	—
119	C₄₇⋊#95	C₂³	1	4	yes	—
120	C₄₇⋊#95	C₂³	1	1	yes	characteristic
121	C₄₇⋊#95	C₂³	1	4	yes	—
122	C₄₇⋊#95	C₂³	1	1	yes	characteristic
123	C₄₇⋊#95	C₂³	1	4	yes	—
124	C₄₇⋊#95	C₂³	1	1	yes	characteristic
125	C₄₇⋊#95	C₂³	1	1	yes	characteristic
126	C₄₇⋊#95	C₂³	1	2	yes	—
127	C₄₇⋊#95	C₂³	1	2	yes	—
128	C₄₇⋊#95	C₂³	1	4	yes	—
129	C₄₇⋊#95	C₂³	1	4	yes	—
130	C₄₇⋊#95	C₂³	1	4	yes	—
131	C₄₇⋊#95	C₂³	1	4	yes	—
132	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
133	C₂×#41×C₄₇	—	4	4	no	—
134	C₂×#41×C₄₇	C₂×C₄	1	8	yes	complemented
135	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
137	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
139	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
140	C₂³×C₄×C₄₇	—	4	4	no	—
141	C₂³×C₄×C₄₇	C₂×C₄	1	8	yes	complemented
142	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
147	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
149	#123×C₄₇	C₂×C₄	1	16	yes	complemented
150	C₂²⋊Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
151	C₂²⋊Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
152	#121×C₄₇	C₂×C₄	1	8	yes	—
153	#121×C₄₇	C₂×C₄	1	8	yes	complemented
154	#120×C₄₇	C₂×C₄	1	16	yes	complemented
155	C₄×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
156	C₄×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
157	#117×C₄₇	C₂×C₄	1	8	yes	complemented
158	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
161	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
162	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
163	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
164	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
165	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
166	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
167	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
168	C₂⁴×C₄₇	—	2	2	no	—
169	C₂⁴×C₄₇	—	2	2	no	—
170	C₂⁴×C₄₇	—	4	2	no	—
171	C₂⁴×C₄₇	—	4	2	no	—
172	C₂⁴×C₄₇	C₂²×C₄	1	4	yes	—
173	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
174	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
175	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
176	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
177	#41×C₄₇	—	4	16	no	—
178	C₂×Q₈×C₄₇	—	2	4	no	—
179	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
180	C₂×D₄×C₄₇	—	2	4	no	—
181	C₂×D₄×C₄₇	—	2	4	no	—
182	C₂×D₄×C₄₇	—	2	4	no	—
183	C₂×D₄×C₄₇	—	4	4	no	—
184	C₂×D₄×C₄₇	—	4	4	no	—
185	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
186	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
187	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
188	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
189	C₂²×C₄×C₄₇	—	2	4	no	—
190	C₂²×C₄×C₄₇	—	2	4	no	—
191	C₂²×C₄×C₄₇	—	2	4	no	—
192	C₂²×C₄×C₄₇	—	4	16	no	—
193	C₂²×C₄×C₄₇	—	4	2	no	—
194	C₂²×C₄×C₄₇	—	4	2	no	—
195	C₂²×C₄×C₄₇	—	4	2	no	—
196	C₂²×C₄×C₄₇	—	4	4	no	—
197	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
198	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
199	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
200	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
201	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
202	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
203	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
204	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
205	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
208	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
209	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
210	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
211	C₂²×Dic₄₇	—	2	8	no	—
212	C₂²×Dic₄₇	—	4	4	no	—
213	C₂²×Dic₄₇	—	4	4	no	—
214	C₂²×Dic₄₇	—	4	4	no	—
215	C₂²×Dic₄₇	—	4	4	no	—
216	C₂²×Dic₄₇	—	4	4	no	—
217	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
218	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
219	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
220	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
221	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
222	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
223	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
224	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
225	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
226	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
227	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
228	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
229	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
230	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
231	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
232	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
233	C₂²⋊Dic₄₇	—	2	4	no	—
234	C₂²⋊Dic₄₇	—	2	4	no	—
235	C₂²⋊Dic₄₇	—	4	2	no	—
236	C₂²⋊Dic₄₇	—	4	4	no	—
237	C₂²⋊Dic₄₇	—	4	2	no	—
238	C₂²⋊Dic₄₇	—	4	2	no	—
239	C₂²⋊Dic₄₇	—	4	4	no	—
240	C₂²⋊Dic₄₇	—	4	2	no	—
241	C₂²⋊Dic₄₇	—	4	2	no	—
242	C₂²⋊Dic₄₇	—	4	2	no	—
243	C₂²⋊Dic₄₇	—	4	4	no	—
244	C₂²⋊Dic₄₇	—	4	4	no	—
245	C₄⋊Dic₄₇	—	2	4	no	—
246	C₄⋊Dic₄₇	—	2	4	no	—
247	C₄⋊Dic₄₇	—	4	4	no	—
248	C₄⋊Dic₄₇	—	4	4	no	—
249	C₄⋊Dic₄₇	—	4	2	no	—
250	C₄⋊Dic₄₇	—	4	2	no	—
251	C₄⋊Dic₄₇	—	4	4	no	—
252	C₄⋊Dic₄₇	—	4	4	no	—
253	C₄×Dic₄₇	—	2	4	no	—
254	C₄×Dic₄₇	—	2	4	no	—
255	C₄×Dic₄₇	—	4	4	no	—
256	C₄×Dic₄₇	—	4	4	no	—
257	C₄×Dic₄₇	—	4	4	no	—
258	C₂³×C₄₇	—	2	2	no	—
259	C₂³×C₄₇	—	2	2	no	—
260	C₂³×C₄₇	—	2	8	no	—
261	C₂³×C₄₇	—	2	1	no	—
262	C₂³×C₄₇	—	2	1	no	—
263	C₂³×C₄₇	—	2	2	no	—
264	C₂³×C₄₇	—	2	2	no	—
265	C₂³×C₄₇	—	2	4	no	—
266	C₂³×C₄₇	—	2	2	no	—
267	C₂³×C₄₇	—	2	2	no	—
268	C₂³×C₄₇	—	2	1	no	—
269	C₂³×C₄₇	—	2	1	no	—
270	C₂³×C₄₇	—	2	2	no	—
271	C₂³×C₄₇	—	2	4	no	—
272	C₂³×C₄₇	—	2	2	no	—
273	C₂³×C₄₇	—	4	4	no	—
274	C₂³×C₄₇	—	4	4	no	—
275	C₂³×C₄₇	—	4	8	no	—
276	C₂³×C₄₇	—	4	8	no	—
277	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
278	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
279	C₂³×C₄₇	C₂³×C₄	1	4	yes	—
280	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
281	C₂³×C₄₇	H(5,𝔽₂)	1	2	yes	—
282	C₂³×C₄₇	2₋¹⁺⁴	1	2	yes	—
283	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
284	Q₈×C₄₇	—	2	8	no	—
285	D₄×C₄₇	—	2	16	no	—
286	D₄×C₄₇	—	2	8	no	—
287	D₄×C₄₇	—	4	8	no	—
288	D₄×C₄₇	—	4	8	no	—
289	C₂×C₄×C₄₇	—	2	2	no	—
290	C₂×C₄×C₄₇	—	2	4	no	—
291	C₂×C₄×C₄₇	—	2	2	no	—
292	C₂×C₄×C₄₇	—	2	2	no	—
293	C₂×C₄×C₄₇	—	2	2	no	—
294	C₂×C₄×C₄₇	—	2	2	no	—
295	C₂×C₄×C₄₇	—	2	4	no	—
296	C₂×C₄×C₄₇	—	2	8	no	—
297	C₂×C₄×C₄₇	—	2	8	no	—
298	C₂×C₄×C₄₇	—	2	8	no	—
299	C₂×C₄×C₄₇	—	4	4	no	—
300	C₂×C₄×C₄₇	—	4	4	no	—
301	C₂×C₄×C₄₇	—	4	4	no	—
302	C₂×C₄×C₄₇	—	4	8	no	—
303	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
304	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
305	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
306	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
307	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
308	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
309	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
310	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
311	C₂×Dic₄₇	—	2	2	no	—
312	C₂×Dic₄₇	—	2	2	no	—
313	C₂×Dic₄₇	—	2	2	no	—
314	C₂×Dic₄₇	—	2	2	no	—
315	C₂×Dic₄₇	—	2	2	no	—
316	C₂×Dic₄₇	—	2	4	no	—
317	C₂×Dic₄₇	—	2	4	no	—
318	C₂×Dic₄₇	—	2	4	no	—
319	C₂×Dic₄₇	—	2	2	no	—
320	C₂×Dic₄₇	—	2	4	no	—
321	C₂×Dic₄₇	—	2	2	no	—
322	C₂×Dic₄₇	—	2	2	no	—
323	C₂×Dic₄₇	—	2	2	no	—
324	C₂×Dic₄₇	—	2	4	no	—
325	C₂×Dic₄₇	—	2	2	no	—
326	C₂×Dic₄₇	—	2	4	no	—
327	C₂×Dic₄₇	—	2	2	no	—
328	C₂×Dic₄₇	—	2	2	no	—
329	C₂×Dic₄₇	—	8	8	no	—
330	C₂×Dic₄₇	—	8	8	no	—
331	#34404	—	47	1	no	maximal, Sylow
332	C₂²×C₄₇	—	2	2	no	—
333	C₂²×C₄₇	—	2	2	no	—
334	C₂²×C₄₇	—	2	4	no	—
335	C₂²×C₄₇	—	2	4	no	—
336	C₂²×C₄₇	—	2	2	no	—
337	C₂²×C₄₇	—	2	2	no	—
338	C₂²×C₄₇	—	2	4	no	—
339	C₂²×C₄₇	—	2	4	no	—
340	C₂²×C₄₇	—	2	2	no	—
341	C₂²×C₄₇	—	2	2	no	—
342	C₂²×C₄₇	—	2	2	no	—
343	C₂²×C₄₇	—	2	4	no	—
344	C₂²×C₄₇	—	2	2	no	—
345	C₂²×C₄₇	—	4	16	no	—
346	C₂²×C₄₇	—	4	4	no	—
347	C₂²×C₄₇	—	4	2	no	—
348	C₂²×C₄₇	—	4	2	no	—
349	C₂²×C₄₇	—	4	4	no	—
350	C₂²×C₄₇	—	4	2	no	—
351	C₂²×C₄₇	—	4	2	no	—
352	C₂²×C₄₇	#520	1	4	yes	—
353	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
354	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
355	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
356	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
357	C₂²×C₄₇	#585	1	2	yes	—
358	C₄×C₄₇	—	2	2	no	—
359	C₄×C₄₇	—	2	2	no	—
360	C₄×C₄₇	—	2	2	no	—
361	C₄×C₄₇	—	2	4	no	—
362	C₄×C₄₇	—	2	4	no	—
363	C₄×C₄₇	—	2	4	no	—
364	C₄×C₄₇	#518	1	4	yes	—
365	Dic₄₇	—	4	2	no	—
366	Dic₄₇	—	4	2	no	—
367	Dic₄₇	—	4	2	no	—
368	Dic₄₇	—	4	4	no	—
369	Dic₄₇	—	4	2	no	—
370	Dic₄₇	—	4	4	no	—
371	C₂×#525	D₄₇	1	1	yes	characteristic
372	#2376	—	47	4	no	—
373	#2361	—	47	2	no	—
374	#2360	—	47	2	no	—
375	#2353	—	47	2	no	—
376	#2349	—	47	2	no	—
377	#2347	—	47	1	no	—
378	#2346	—	47	1	no	—
379	#2341	—	47	1	no	—
380	#2339	—	47	1	no	—
381	#2324	—	47	2	no	—
382	#2323	—	47	2	no	—
383	#2321	—	47	4	no	—
384	#2319	—	47	2	no	—
385	#2318	—	47	2	no	—
386	#2280	—	47	1	no	—
387	C₂×#380	—	47	1	no	—
388	C₂×C₄₇	—	2	4	no	—
389	C₂×C₄₇	—	4	4	no	—
390	C₂×C₄₇	—	4	2	no	—
391	C₂×C₄₇	—	4	2	no	—
392	C₂×C₄₇	C₂×#518	1	1	yes	characteristic
393	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
394	C₂×C₄₇	#3428	1	1	yes	characteristic
395	C₂×C₄₇	#3541	1	2	yes	—
396	C₂×C₄₇	#3542	1	2	yes	—
397	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
398	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
399	#525	Dic₄₇	1	16	yes	complemented
400	C₂×#123	C₂×D₄₇	1	2	yes	—
401	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
402	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
403	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
404	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
405	C₂×#120	C₂×D₄₇	1	2	yes	—
406	C₂×C₄×Q₈	—	47	2	no	—
407	C₂×C₄×D₄	—	47	4	no	—
408	C₂×C₄×D₄	—	47	2	no	—
409	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
410	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
411	C₂×#117	—	47	2	no	—
412	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
413	C₂²×C₄⋊C₄	—	47	2	no	—
414	C₂²×C₂²⋊C₄	—	47	2	no	—
415	#391	—	47	2	no	—
416	#390	—	47	4	no	—
417	#390	—	47	4	no	—
418	#390	—	47	2	no	—
419	#389	—	47	4	no	—
420	#389	—	47	2	no	—
421	#389	—	47	4	no	—
422	#389	—	47	2	no	—
423	#388	—	47	4	no	—
424	#388	—	47	4	no	—
425	#388	—	47	4	no	—
426	#388	—	47	4	no	—
427	#388	—	47	4	no	—
428	#388	—	47	4	no	—
429	#387	—	47	4	no	—
430	#387	—	47	4	no	—
431	#386	—	47	4	no	—
432	#386	—	47	4	no	—
433	#386	—	47	4	no	—
434	#385	—	47	4	no	—
435	#385	—	47	4	no	—
436	#385	—	47	4	no	—
437	#383	—	47	2	no	—
438	#382	—	47	2	no	—
439	#381	—	47	1	no	—
440	#381	—	47	1	no	—
441	#381	—	47	2	no	—
442	#380	—	47	2	no	—
443	#380	—	47	2	no	—
444	#380	—	47	2	no	—
445	#380	—	47	1	no	—
446	#380	—	47	1	no	—
447	#380	—	47	1	no	—
448	#380	—	47	1	no	—
449	#380	—	47	2	no	—
450	#380	—	47	2	no	—
451	#379	—	47	2	no	—
452	C₄×C₄⋊C₄	—	47	2	no	—
453	C₄×C₄⋊C₄	—	47	2	no	—
454	C₄×C₄⋊C₄	—	47	2	no	—
455	C₄×C₂²⋊C₄	—	47	1	no	—
456	C₄×C₂²⋊C₄	—	47	1	no	—
457	C₄×C₂²⋊C₄	—	47	2	no	—
458	C₄×C₂²⋊C₄	—	47	2	no	—
459	C₄×C₂²⋊C₄	—	47	4	no	—
460	#376	—	47	2	no	—
461	C₂×#95	—	47	2	no	—
462	C₂×#95	—	47	2	no	—
463	C₄₇	#34404	1	1	yes	characteristic, complemented, Sylow
464	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
465	C₂×#41	—	4	4	no	—
466	C₂×#41	C₂×Dic₄₇	1	8	yes	complemented
467	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
468	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
469	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
470	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
471	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
472	C₂³×C₄	—	4	4	no	—
473	C₂³×C₄	—	47	4	no	—
474	C₂³×C₄	—	47	4	no	—
475	C₂³×C₄	C₂×Dic₄₇	1	8	yes	complemented
476	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
477	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
478	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
479	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
480	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
481	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
482	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
483	#123	C₂×Dic₄₇	1	16	yes	complemented
484	C₂²⋊Q₈	C₂×Dic₄₇	1	8	yes	complemented
485	C₂²⋊Q₈	C₂×Dic₄₇	1	8	yes	complemented
486	#121	C₂×Dic₄₇	1	8	yes	—
487	#121	C₂×Dic₄₇	1	8	yes	complemented
488	#120	C₂×Dic₄₇	1	16	yes	complemented
489	C₄×Q₈	—	188	4	no	—
490	C₄×D₄	—	188	4	no	—
491	C₄×D₄	—	188	8	no	—
492	C₄×D₄	C₂×Dic₄₇	1	16	yes	complemented
493	C₄×D₄	C₂×Dic₄₇	1	16	yes	complemented
494	#117	—	188	4	no	—
495	#117	C₂×Dic₄₇	1	8	yes	complemented
496	C₂×C₄⋊C₄	—	47	2	no	—
497	C₂×C₄⋊C₄	—	47	2	no	—
498	C₂×C₄⋊C₄	—	47	4	no	—
499	C₂×C₄⋊C₄	—	47	2	no	—
500	C₂×C₄⋊C₄	—	47	2	no	—
501	C₂×C₄⋊C₄	—	47	4	no	—
502	C₂×C₄⋊C₄	—	47	4	no	—
503	C₂×C₄⋊C₄	—	47	4	no	—
504	C₂×C₄⋊C₄	—	188	4	no	—
505	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
506	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
507	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
508	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
509	C₂×C₂²⋊C₄	—	47	2	no	—
510	C₂×C₂²⋊C₄	—	47	2	no	—
511	C₂×C₂²⋊C₄	—	47	2	no	—
512	C₂×C₂²⋊C₄	—	47	4	no	—
513	C₂×C₂²⋊C₄	—	47	2	no	—
514	C₂×C₂²⋊C₄	—	47	2	no	—
515	C₂×C₂²⋊C₄	—	47	2	no	—
516	C₂×C₂²⋊C₄	—	47	4	no	—
517	C₂×C₂²⋊C₄	—	47	4	no	—
518	C₂×C₂²⋊C₄	—	47	2	no	—
519	C₂×C₂²⋊C₄	—	47	2	no	—
520	C₂×C₂²⋊C₄	—	47	4	no	—
521	C₂×C₂²⋊C₄	—	188	4	no	—
522	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
523	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
524	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
525	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
526	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
527	C₂×C₄²	—	47	2	no	—
528	C₂×C₄²	—	47	2	no	—
529	C₂×C₄²	—	47	4	no	—
530	C₂×C₄²	—	47	4	no	—
531	C₂×C₄²	—	47	4	no	—
532	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
533	#95	—	47	1	no	—
534	#95	—	47	2	no	—
535	#95	—	47	2	no	—
536	#95	—	47	4	no	—
537	#95	—	47	4	no	—
538	#95	—	47	1	no	—
539	#95	—	47	4	no	—
540	#95	—	47	1	no	—
541	#95	—	47	1	no	—
542	#95	—	47	2	no	—
543	#95	—	47	2	no	—
544	#95	—	47	4	no	—
545	#95	—	47	4	no	—
546	#95	—	47	4	no	—
547	#95	—	47	4	no	—
548	C₂⁴	—	2	2	no	—
549	C₂⁴	—	2	2	no	—
550	C₂⁴	—	4	2	no	—
551	C₂⁴	—	4	2	no	—
552	C₂⁴	C₂²×Dic₄₇	1	4	yes	—
553	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
554	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
555	C₂⁴	C₂³×D₄₇	1	2	yes	—
556	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
557	#41	—	4	16	no	—
558	C₂×Q₈	—	2	4	no	—
559	C₂×Q₈	C₂²×Dic₄₇	1	4	yes	—
560	C₂×D₄	—	2	4	no	—
561	C₂×D₄	—	2	4	no	—
562	C₂×D₄	—	2	4	no	—
563	C₂×D₄	—	4	4	no	—
564	C₂×D₄	—	4	4	no	—
565	C₂×D₄	C₂²×Dic₄₇	1	8	yes	—
566	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
567	C₂×D₄	C₂²×Dic₄₇	1	8	yes	—
568	C₂×D₄	C₂²×Dic₄₇	1	8	yes	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	—	2	4	no	—
571	C₂²×C₄	—	2	4	no	—
572	C₂²×C₄	—	4	16	no	—
573	C₂²×C₄	—	4	2	no	—
574	C₂²×C₄	—	4	2	no	—
575	C₂²×C₄	—	4	2	no	—
576	C₂²×C₄	—	4	4	no	—
577	C₂²×C₄	—	47	2	no	—
578	C₂²×C₄	—	47	2	no	—
579	C₂²×C₄	—	47	2	no	—
580	C₂²×C₄	—	47	4	no	—
581	C₂²×C₄	—	47	4	no	—
582	C₂²×C₄	—	47	2	no	—
583	C₂²×C₄	—	94	8	no	—
584	C₂²×C₄	—	188	4	no	—
585	C₂²×C₄	—	188	4	no	—
586	C₂²×C₄	—	188	4	no	—
587	C₂²×C₄	—	188	4	no	—
588	C₂²×C₄	—	188	4	no	—
589	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
590	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
591	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
592	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
593	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
594	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
595	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
596	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
597	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
598	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
599	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
600	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
601	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
602	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
603	C₄⋊C₄	—	94	4	no	—
604	C₄⋊C₄	—	94	4	no	—
605	C₄⋊C₄	—	188	4	no	—
606	C₄⋊C₄	—	188	4	no	—
607	C₄⋊C₄	—	188	2	no	—
608	C₄⋊C₄	—	188	2	no	—
609	C₄⋊C₄	—	188	4	no	—
610	C₄⋊C₄	—	188	4	no	—
611	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
612	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
613	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
614	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
615	C₂²⋊C₄	—	94	4	no	—
616	C₂²⋊C₄	—	94	4	no	—
617	C₂²⋊C₄	—	188	2	no	—
618	C₂²⋊C₄	—	188	4	no	—
619	C₂²⋊C₄	—	188	2	no	—
620	C₂²⋊C₄	—	188	2	no	—
621	C₂²⋊C₄	—	188	4	no	—
622	C₂²⋊C₄	—	188	2	no	—
623	C₂²⋊C₄	—	188	2	no	—
624	C₂²⋊C₄	—	188	2	no	—
625	C₂²⋊C₄	—	188	4	no	—
626	C₂²⋊C₄	—	188	4	no	—
627	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
628	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
629	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
630	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
631	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
632	C₄²	—	94	4	no	—
633	C₄²	—	94	4	no	—
634	C₄²	—	188	4	no	—
635	C₄²	—	188	4	no	—
636	C₄²	—	188	4	no	—
637	C₄²	C₂²×Dic₄₇	1	8	yes	—
638	C₂³	—	2	2	no	—
639	C₂³	—	2	2	no	—
640	C₂³	—	2	8	no	—
641	C₂³	—	2	2	no	—
642	C₂³	—	2	4	no	—
643	C₂³	—	2	2	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	2	no	—
647	C₂³	—	2	2	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	2	no	—
651	C₂³	—	2	4	no	—
652	C₂³	—	2	2	no	—
653	C₂³	—	4	4	no	—
654	C₂³	—	4	4	no	—
655	C₂³	—	4	8	no	—
656	C₂³	—	4	8	no	—
657	C₂³	C₂³×Dic₄₇	1	2	yes	—
658	C₂³	C₂³×Dic₄₇	1	2	yes	—
659	C₂³	C₂³×Dic₄₇	1	4	yes	—
660	C₂³	C₂³×Dic₄₇	1	2	yes	—
661	C₂³	#13094070	1	2	yes	—
662	C₂³	#13094071	1	2	yes	—
663	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
664	Q₈	—	2	8	no	—
665	D₄	—	2	16	no	—
666	D₄	—	2	8	no	—
667	D₄	—	4	8	no	—
668	D₄	—	4	8	no	—
669	C₂×C₄	—	2	4	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	8	no	—
677	C₂×C₄	—	2	8	no	—
678	C₂×C₄	—	2	8	no	—
679	C₂×C₄	—	4	4	no	—
680	C₂×C₄	—	4	4	no	—
681	C₂×C₄	—	4	4	no	—
682	C₂×C₄	—	4	8	no	—
683	C₂×C₄	—	94	2	no	—
684	C₂×C₄	—	94	2	no	—
685	C₂×C₄	—	94	2	no	—
686	C₂×C₄	—	94	2	no	—
687	C₂×C₄	—	94	4	no	—
688	C₂×C₄	—	94	4	no	—
689	C₂×C₄	—	94	2	no	—
690	C₂×C₄	—	94	4	no	—
691	C₂×C₄	—	94	2	no	—
692	C₂×C₄	—	94	4	no	—
693	C₂×C₄	—	94	2	no	—
694	C₂×C₄	—	94	2	no	—
695	C₂×C₄	—	94	2	no	—
696	C₂×C₄	—	94	4	no	—
697	C₂×C₄	—	94	2	no	—
698	C₂×C₄	—	94	2	no	—
699	C₂×C₄	—	94	2	no	—
700	C₂×C₄	—	94	4	no	—
701	C₂×C₄	—	376	8	no	—
702	C₂×C₄	—	376	8	no	—
703	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
704	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
705	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
706	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
707	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
708	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
709	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
710	C₂×C₄	#13094069	1	4	yes	—
711	C₂²	—	2	2	no	—
712	C₂²	—	2	2	no	—
713	C₂²	—	2	4	no	—
714	C₂²	—	2	4	no	—
715	C₂²	—	2	2	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	4	no	—
718	C₂²	—	2	4	no	—
719	C₂²	—	2	2	no	—
720	C₂²	—	2	2	no	—
721	C₂²	—	2	2	no	—
722	C₂²	—	2	4	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	4	16	no	—
725	C₂²	—	4	2	no	—
726	C₂²	—	4	2	no	—
727	C₂²	—	4	4	no	—
728	C₂²	—	4	4	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	2	no	—
731	C₂²	#15689606	1	4	yes	—
732	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
733	C₂²	C₂×#13094069	1	2	yes	—
734	C₂²	C₂×#13094070	1	1	yes	characteristic
735	C₂²	C₂×#13094071	1	1	yes	characteristic
736	C₂²	#15689959	1	2	yes	—
737	C₄	—	2	2	no	—
738	C₄	—	2	2	no	—
739	C₄	—	2	2	no	—
740	C₄	—	2	4	no	—
741	C₄	—	2	4	no	—
742	C₄	—	2	4	no	—
743	C₄	—	188	2	no	—
744	C₄	—	188	2	no	—
745	C₄	—	188	2	no	—
746	C₄	—	188	4	no	—
747	C₄	—	188	4	no	—
748	C₄	—	188	2	no	—
749	C₄	#15689598	1	4	yes	—
750	C₂	—	2	4	no	—
751	C₂	—	4	2	no	—
752	C₂	—	4	2	no	—
753	C₂	—	4	4	no	—
754	C₂	C₂×#15689598	1	1	yes	characteristic
755	C₂	C₂×#15689606	1	1	yes	characteristic
756	C₂	#20256591	1	1	yes	characteristic
757	C₂	#20257673	1	2	yes	—
758	C₂	#20257696	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting, prime radical	C₂×C₄₇×#525	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#525	D₄₇
hypocenter	C₄₇	#34404
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #20246536	C₂	semidirect
2. #20246408	C₂	semidirect
3. #20246397	C₂	semidirect
4. #20246328	C₂	semidirect
5. #20246298	C₂	semidirect
6. #20246281	C₂	semidirect
7. #20246273	C₂	semidirect
8. #20246229	C₂	semidirect
9. #20246218	C₂	semidirect
10. #20246083	C₂	semidirect
11. #20246072	C₂	semidirect
12. #20246049	C₂	semidirect
13. #20246031	C₂	semidirect
14. #20246021	C₂	semidirect
15. #20245771	C₂	semidirect
16. C₂×#15688983	C₂	semidirect
18. C₂×Q₈×Dic₄₇	C₂²	semidirect
20. C₂×D₄×Dic₄₇	C₂²	semidirect
24. #15689030	C₂²	semidirect
27. #15689026	C₂²	semidirect
28. #15689022	C₂²	semidirect
29. #15689022	C₂²	semidirect
30. #15689022	C₂²	semidirect
31. #15689022	C₂²	semidirect
36. #15689016	C₂²	semidirect
37. #15689016	C₂²	semidirect
38. #15689009	C₂²	semidirect
39. #15689009	C₂²	semidirect
44. #15688998	C₂²	semidirect
45. #15688998	C₂²	semidirect
46. #15688991	C₂²	semidirect
47. #15688989	C₂²	semidirect
50. #15688986	C₂²	semidirect
59. #15688983	C₂²	semidirect
61. C₄⋊C₄×Dic₄₇	C₂²	semidirect
62. C₄⋊C₄×Dic₄₇	C₂²	semidirect
63. C₄×C₄⋊Dic₄₇	C₂²	semidirect
68. C₄×C₂²⋊Dic₄₇	C₂²	semidirect
69. #15688969	C₂²	semidirect
71. C₂×C₄₇⋊#95	C₂²	semidirect
74. C₄₇×#525	C₄	semidirect
134. C₂×#41×C₄₇	C₂×C₄	semidirect
141. C₂³×C₄×C₄₇	C₂×C₄	semidirect
149. #123×C₄₇	C₂×C₄	semidirect
150. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
151. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
153. #121×C₄₇	C₂×C₄	semidirect
154. #120×C₄₇	C₂×C₄	semidirect
155. C₄×D₄×C₄₇	C₂×C₄	semidirect
156. C₄×D₄×C₄₇	C₂×C₄	semidirect
157. #117×C₄₇	C₂×C₄	semidirect
399. #525	Dic₄₇	semidirect
463. C₄₇	#34404	semidirect
466. C₂×#41	C₂×Dic₄₇	semidirect
475. C₂³×C₄	C₂×Dic₄₇	semidirect
483. #123	C₂×Dic₄₇	semidirect
484. C₂²⋊Q₈	C₂×Dic₄₇	semidirect
485. C₂²⋊Q₈	C₂×Dic₄₇	semidirect
487. #121	C₂×Dic₄₇	semidirect
488. #120	C₂×Dic₄₇	semidirect
492. C₄×D₄	C₂×Dic₄₇	semidirect
493. C₄×D₄	C₂×Dic₄₇	semidirect
495. #117	C₂×Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20246536	2
#20246408	2
#20246397	2
#20246328	2
#20246298	2
#20246281	2
#20246273	2
#20246229	2
#20246218	2
#20246083	2
#20246072	2
#20246049	2
#20246031	2
#20246021	2
#20245771	2
C₂×#15688983	2
C₂×C₄₇×#525	2
#34404	47