Subgroups — #26377146

Order 12032.

2430 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246488	C₂	1	2	yes	maximal, complemented
2	#20246463	C₂	1	2	yes	maximal, complemented
3	#20246384	C₂	1	4	yes	maximal, complemented
4	#20246345	C₂	1	1	yes	maximal, characteristic, complemented
5	#20246337	C₂	1	1	yes	maximal, characteristic, complemented
6	#20246317	C₂	1	2	yes	maximal, complemented
7	Q₈×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
8	D₄×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
9	D₄×C₄⋊Dic₄₇	C₂	1	2	yes	maximal, complemented
10	#20246167	C₂	1	4	yes	maximal, complemented
11	#20245997	C₂	1	2	yes	maximal, complemented
12	C₂²⋊Q₈×Dic₄₇	C₂	1	2	yes	maximal, complemented
13	#121×Dic₄₇	C₂	1	2	yes	maximal
14	#20245795	C₂	1	1	yes	maximal, characteristic, complemented
15	#20245744	C₂	1	2	yes	maximal, complemented
16	C₂×C₄×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄₇×#529	C₂	1	1	yes	maximal, characteristic
18	C₂×Q₈×Dic₄₇	C₂²	1	2	yes	—
19	C₂×D₄×Dic₄₇	C₂²	1	4	yes	—
20	C₂×D₄×Dic₄₇	C₂²	1	2	yes	—
21	C₂×#13093983	C₂²	1	2	yes	—
22	C₂×#13093983	C₂²	1	2	yes	—
23	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
24	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
25	C₂²×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
26	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
27	#15689030	C₂²	1	2	yes	—
28	#15689026	C₂²	1	2	yes	—
29	#15689022	C₂²	1	4	yes	—
30	#15689022	C₂²	1	2	yes	—
31	#15689022	C₂²	1	4	yes	—
32	#15689022	C₂²	1	2	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	—
37	#15689009	C₂²	1	4	yes	—
38	#15689009	C₂²	1	4	yes	—
39	#15689009	C₂²	1	4	yes	—
40	#15689009	C₂²	1	4	yes	—
41	#15689003	C₂²	1	4	yes	—
42	#15688998	C₂²	1	4	yes	—
43	#15688998	C₂²	1	4	yes	—
44	#15688998	C₂²	1	4	yes	—
45	#15688993	C₂²	1	1	yes	characteristic
46	#15688993	C₂²	1	2	yes	—
47	#15688993	C₂²	1	1	yes	characteristic
48	#15688989	C₂²	1	2	yes	—
49	#15688989	C₂²	1	2	yes	—
50	#15688983	C₂²	1	2	yes	—
51	#15688983	C₂²	1	2	yes	—
52	#15688983	C₂²	1	2	yes	—
53	#15688983	C₂²	1	2	yes	—
54	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
55	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
56	C₄⋊C₄×Dic₄₇	C₂²	1	4	yes	—
57	C₄⋊C₄×Dic₄₇	C₂²	1	4	yes	—
58	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
59	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
60	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
61	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
62	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
63	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
64	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
65	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
66	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
67	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
68	C₂²⋊C₄×Dic₄₇	C₂²	1	4	yes	—
69	C₂²⋊C₄×Dic₄₇	C₂²	1	4	yes	—
70	C₂²⋊C₄×Dic₄₇	C₂²	1	4	yes	—
71	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
72	C₄₇×#529	C₄	1	16	yes	complemented
73	C₂×#126×C₄₇	C₂²	1	2	yes	—
74	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
75	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic
76	C₂×#123×C₄₇	C₂²	1	2	yes	—
77	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
78	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
80	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
81	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
82	C₂×#117×C₄₇	C₂²	1	2	yes	—
83	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
84	C₂³×Dic₄₇	C₂³	1	2	yes	—
85	C₂³×Dic₄₇	C₂³	1	2	yes	—
86	C₂³×Dic₄₇	C₂³	1	4	yes	—
87	Q₈×Dic₄₇	—	4	4	no	—
88	D₄×Dic₄₇	—	4	4	no	—
89	D₄×Dic₄₇	—	4	8	no	—
90	#13093983	—	2	8	no	—
91	#13093983	—	4	4	no	—
92	C₂×C₄⋊Dic₄₇	—	2	4	no	—
93	C₂×C₄⋊Dic₄₇	—	2	8	no	—
94	C₂×C₄⋊Dic₄₇	—	2	4	no	—
95	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
96	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
97	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
98	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
99	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
100	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
101	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
102	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
103	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
104	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
105	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
106	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
107	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
108	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
110	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
111	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
112	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
113	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
114	C₂×C₄×Dic₄₇	—	4	4	no	—
115	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
116	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
117	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
118	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
119	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
120	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
121	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
122	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
123	C₄₇⋊#95	C₂³	1	2	yes	—
124	C₄₇⋊#95	C₂³	1	2	yes	—
125	C₄₇⋊#95	C₂³	1	2	yes	—
126	C₄₇⋊#95	C₂³	1	2	yes	—
127	C₄₇⋊#95	C₂³	1	4	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	C₄₇⋊#95	C₂³	1	4	yes	—
133	C₄₇⋊#95	C₂³	1	4	yes	—
134	C₄₇⋊#95	C₂³	1	4	yes	—
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	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
142	#126×C₄₇	C₂×C₄	1	16	yes	complemented
143	#125×C₄₇	C₂×C₄	1	8	yes	complemented
144	#124×C₄₇	C₂×C₄	1	8	yes	complemented
145	#123×C₄₇	C₂×C₄	1	16	yes	complemented
146	C₂²⋊Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
147	#121×C₄₇	C₂×C₄	1	8	yes	—
148	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
149	C₄×D₄×C₄₇	C₂×C₄	1	8	yes	complemented
150	C₄×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
151	#117×C₄₇	C₂×C₄	1	16	yes	complemented
152	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
153	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
155	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
156	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
158	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
159	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
160	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
161	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
162	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
163	C₂×C₄²×C₄₇	C₂×C₄	1	8	yes	complemented
164	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
165	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
166	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
167	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
168	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
169	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
170	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
171	C₂×Q₈×C₄₇	—	2	2	no	—
172	C₂×Q₈×C₄₇	—	2	2	no	—
173	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
174	C₂×D₄×C₄₇	—	2	4	no	—
175	C₂×D₄×C₄₇	—	2	4	no	—
176	C₂×D₄×C₄₇	—	2	2	no	—
177	C₂×D₄×C₄₇	—	2	2	no	—
178	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
179	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
180	C₂²×C₄×C₄₇	—	2	2	no	—
181	C₂²×C₄×C₄₇	—	2	2	no	—
182	C₂²×C₄×C₄₇	—	2	2	no	—
183	C₂²×C₄×C₄₇	—	2	2	no	—
184	C₂²×C₄×C₄₇	—	2	4	no	—
185	C₂²×C₄×C₄₇	—	2	4	no	—
186	C₂²×C₄×C₄₇	—	2	2	no	—
187	C₂²×C₄×C₄₇	—	2	2	no	—
188	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
189	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
190	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
191	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
192	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
194	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
195	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
196	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
199	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
200	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
201	C₂²×Dic₄₇	—	2	4	no	—
202	C₂²×Dic₄₇	—	2	4	no	—
203	C₂²×Dic₄₇	—	2	4	no	—
204	C₂²×Dic₄₇	—	2	4	no	—
205	C₂²×Dic₄₇	—	2	8	no	—
206	C₂²×Dic₄₇	—	4	2	no	—
207	C₂²×Dic₄₇	—	4	2	no	—
208	C₂²×Dic₄₇	—	4	4	no	—
209	C₂²×Dic₄₇	—	4	4	no	—
210	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
211	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
212	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
213	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
214	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
215	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
216	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
217	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
218	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
219	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
220	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
221	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
222	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
223	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
224	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
225	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
226	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
227	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
228	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
229	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
230	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
231	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
232	C₂²⋊Dic₄₇	—	2	8	no	—
233	C₂²⋊Dic₄₇	—	2	8	no	—
234	C₂²⋊Dic₄₇	—	4	4	no	—
235	C₂²⋊Dic₄₇	—	4	4	no	—
236	C₄⋊Dic₄₇	—	2	2	no	—
237	C₄⋊Dic₄₇	—	2	2	no	—
238	C₄⋊Dic₄₇	—	2	4	no	—
239	C₄⋊Dic₄₇	—	2	4	no	—
240	C₄⋊Dic₄₇	—	2	4	no	—
241	C₄⋊Dic₄₇	—	2	4	no	—
242	C₄⋊Dic₄₇	—	2	4	no	—
243	C₄⋊Dic₄₇	—	2	4	no	—
244	C₄⋊Dic₄₇	—	2	8	no	—
245	C₄⋊Dic₄₇	—	4	2	no	—
246	C₄⋊Dic₄₇	—	4	2	no	—
247	C₄⋊Dic₄₇	—	4	4	no	—
248	C₄⋊Dic₄₇	—	4	4	no	—
249	C₄⋊Dic₄₇	#41	1	4	yes	—
250	C₄⋊Dic₄₇	#41	1	4	yes	—
251	C₄×Dic₄₇	—	2	4	no	—
252	C₄×Dic₄₇	—	2	4	no	—
253	C₄×Dic₄₇	—	2	8	no	—
254	C₄×Dic₄₇	—	4	2	no	—
255	C₄×Dic₄₇	—	4	2	no	—
256	C₄×Dic₄₇	—	4	4	no	—
257	C₄×Dic₄₇	—	4	4	no	—
258	C₄×Dic₄₇	—	4	4	no	—
259	C₂³×C₄₇	—	2	1	no	—
260	C₂³×C₄₇	—	2	1	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	2	no	—
266	C₂³×C₄₇	—	2	2	no	—
267	C₂³×C₄₇	—	2	2	no	—
268	C₂³×C₄₇	—	2	2	no	—
269	C₂³×C₄₇	C₂³×C₄	1	4	yes	—
270	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
271	C₂³×C₄₇	H(5,𝔽₂)	1	2	yes	—
272	C₂³×C₄₇	2₋¹⁺⁴	1	2	yes	—
273	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
274	Q₈×C₄₇	—	2	8	no	—
275	D₄×C₄₇	—	2	16	no	—
276	D₄×C₄₇	—	2	8	no	—
277	C₂×C₄×C₄₇	—	2	8	no	—
278	C₂×C₄×C₄₇	—	2	2	no	—
279	C₂×C₄×C₄₇	—	2	1	no	—
280	C₂×C₄×C₄₇	—	2	2	no	—
281	C₂×C₄×C₄₇	—	2	1	no	—
282	C₂×C₄×C₄₇	—	2	1	no	—
283	C₂×C₄×C₄₇	—	2	1	no	—
284	C₂×C₄×C₄₇	—	2	2	no	—
285	C₂×C₄×C₄₇	—	2	2	no	—
286	C₂×C₄×C₄₇	—	2	1	no	—
287	C₂×C₄×C₄₇	—	2	1	no	—
288	C₂×C₄×C₄₇	—	2	1	no	—
289	C₂×C₄×C₄₇	—	2	1	no	—
290	C₂×C₄×C₄₇	—	2	2	no	—
291	C₂×C₄×C₄₇	—	2	2	no	—
292	C₂×C₄×C₄₇	—	2	8	no	—
293	C₂×C₄×C₄₇	—	2	16	no	—
294	C₂×C₄×C₄₇	—	2	8	no	—
295	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
296	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
297	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
298	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
299	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
300	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
301	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
302	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
303	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
304	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
305	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
306	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
307	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
308	C₂×Dic₄₇	—	2	2	no	—
309	C₂×Dic₄₇	—	2	2	no	—
310	C₂×Dic₄₇	—	2	2	no	—
311	C₂×Dic₄₇	—	2	2	no	—
312	C₂×Dic₄₇	—	2	4	no	—
313	C₂×Dic₄₇	—	2	2	no	—
314	C₂×Dic₄₇	—	2	4	no	—
315	C₂×Dic₄₇	—	2	2	no	—
316	C₂×Dic₄₇	—	2	2	no	—
317	C₂×Dic₄₇	—	2	2	no	—
318	C₂×Dic₄₇	—	2	4	no	—
319	C₂×Dic₄₇	—	2	4	no	—
320	C₂×Dic₄₇	—	2	4	no	—
321	C₂×Dic₄₇	—	2	2	no	—
322	C₂×Dic₄₇	—	2	4	no	—
323	C₂×Dic₄₇	—	2	2	no	—
324	C₂×Dic₄₇	—	4	8	no	—
325	C₂×Dic₄₇	—	4	8	no	—
326	C₂×Dic₄₇	—	8	8	no	—
327	C₂×Dic₄₇	C₂×#41	1	4	yes	—
328	C₂×Dic₄₇	C₂×#41	1	4	yes	—
329	#34243	—	47	1	no	maximal, Sylow
330	C₂²×C₄₇	—	2	2	no	—
331	C₂²×C₄₇	—	2	2	no	—
332	C₂²×C₄₇	—	2	2	no	—
333	C₂²×C₄₇	—	2	2	no	—
334	C₂²×C₄₇	—	2	2	no	—
335	C₂²×C₄₇	—	2	2	no	—
336	C₂²×C₄₇	—	2	4	no	—
337	C₂²×C₄₇	—	2	4	no	—
338	C₂²×C₄₇	—	2	4	no	—
339	C₂²×C₄₇	—	4	2	no	—
340	C₂²×C₄₇	—	4	2	no	—
341	C₂²×C₄₇	—	4	2	no	—
342	C₂²×C₄₇	—	4	2	no	—
343	C₂²×C₄₇	#520	1	4	yes	—
344	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
345	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
346	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
347	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
348	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
349	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
350	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
351	C₄×C₄₇	—	2	4	no	—
352	C₄×C₄₇	—	2	2	no	—
353	C₄×C₄₇	—	2	2	no	—
354	C₄×C₄₇	—	2	2	no	—
355	C₄×C₄₇	—	2	2	no	—
356	C₄×C₄₇	—	2	4	no	—
357	C₄×C₄₇	—	2	4	no	—
358	C₄×C₄₇	C₄×#41	1	4	yes	—
359	C₄×C₄₇	#520	1	4	yes	—
360	Dic₄₇	—	2	4	no	—
361	Dic₄₇	—	2	4	no	—
362	Dic₄₇	—	4	2	no	—
363	Dic₄₇	—	4	4	no	—
364	Dic₄₇	—	4	2	no	—
365	Dic₄₇	—	4	4	no	—
366	C₂×#529	D₄₇	1	1	yes	characteristic
367	#2370	—	47	2	no	—
368	#2367	—	47	2	no	—
369	#2359	—	47	4	no	—
370	#2355	—	47	1	no	—
371	#2354	—	47	1	no	—
372	#2352	—	47	2	no	—
373	Q₈×C₄⋊C₄	—	47	1	no	—
374	D₄×C₄⋊C₄	—	47	2	no	—
375	D₄×C₄⋊C₄	—	47	1	no	—
376	#2334	—	47	4	no	—
377	#2314	—	47	2	no	—
378	C₄×C₂²⋊Q₈	—	47	2	no	—
379	C₄×#121	—	47	2	no	—
380	#2285	—	47	1	no	—
381	#2274	—	47	2	no	—
382	C₂×C₄×C₄⋊C₄	—	47	1	no	—
383	C₂×C₄₇	—	2	4	no	—
384	C₂×C₄₇	—	4	4	no	—
385	C₂×C₄₇	C₂×C₄×#41	1	1	yes	characteristic
386	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
387	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
388	C₂×C₄₇	#3519	1	1	yes	characteristic
389	C₂×C₄₇	#3520	1	1	yes	characteristic
390	C₂×C₄₇	#3522	1	1	yes	characteristic
391	C₂×C₄₇	#3523	1	1	yes	characteristic
392	#529	Dic₄₇	1	16	yes	complemented
393	C₂×#126	C₂×D₄₇	1	2	yes	—
394	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
395	C₂×#124	C₂×D₄₇	1	1	yes	characteristic
396	C₂×#123	C₂×D₄₇	1	2	yes	—
397	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
398	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
399	C₂×C₄×Q₈	—	47	2	no	—
400	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
401	C₂×C₄×D₄	—	47	4	no	—
402	C₂×C₄×D₄	—	47	2	no	—
403	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
404	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
405	C₂×#117	—	47	2	no	—
406	C₂×#117	—	47	2	no	—
407	C₂×#117	C₂×D₄₇	1	2	yes	—
408	C₂²×C₄⋊C₄	—	47	1	no	—
409	C₂²×C₄⋊C₄	—	47	2	no	—
410	C₂²×C₄⋊C₄	—	47	1	no	—
411	C₂²×C₄²	—	47	2	no	—
412	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
413	#391	—	47	2	no	—
414	#390	—	47	2	no	—
415	#389	—	47	4	no	—
416	#389	—	47	4	no	—
417	#389	—	47	2	no	—
418	#389	—	47	2	no	—
419	#388	—	47	4	no	—
420	#388	—	47	4	no	—
421	#388	—	47	4	no	—
422	#388	—	47	4	no	—
423	#387	—	47	4	no	—
424	#387	—	47	4	no	—
425	#387	—	47	4	no	—
426	#387	—	47	4	no	—
427	#386	—	47	4	no	—
428	#385	—	47	4	no	—
429	#385	—	47	4	no	—
430	#385	—	47	4	no	—
431	#384	—	47	2	no	—
432	#384	—	47	1	no	—
433	#384	—	47	1	no	—
434	#382	—	47	2	no	—
435	#382	—	47	2	no	—
436	#380	—	47	2	no	—
437	#380	—	47	2	no	—
438	#380	—	47	2	no	—
439	#380	—	47	2	no	—
440	C₄×C₄⋊C₄	—	47	4	no	—
441	C₄×C₄⋊C₄	—	47	2	no	—
442	C₄×C₄⋊C₄	—	47	2	no	—
443	C₄×C₄⋊C₄	—	47	4	no	—
444	C₄×C₄⋊C₄	—	47	1	no	—
445	C₄×C₄⋊C₄	—	47	2	no	—
446	C₄×C₄⋊C₄	—	47	2	no	—
447	C₄×C₄⋊C₄	—	47	1	no	—
448	C₄×C₄⋊C₄	—	47	2	no	—
449	C₄×C₄⋊C₄	—	47	2	no	—
450	C₄×C₄⋊C₄	—	47	1	no	—
451	C₄×C₄⋊C₄	—	47	2	no	—
452	C₄×C₄⋊C₄	—	47	2	no	—
453	C₄×C₄⋊C₄	—	47	1	no	—
454	C₄×C₂²⋊C₄	—	47	4	no	—
455	C₄×C₂²⋊C₄	—	47	4	no	—
456	C₄×C₂²⋊C₄	—	47	4	no	—
457	C₂×#95	—	47	2	no	—
458	C₄₇	#34243	1	1	yes	characteristic, complemented, Sylow
459	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
460	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
461	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
462	C₂³×C₄	—	47	2	no	—
463	C₂³×C₄	—	47	2	no	—
464	C₂³×C₄	—	47	4	no	—
465	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
466	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
467	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
468	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
469	#126	C₂×Dic₄₇	1	16	yes	complemented
470	#125	C₂×Dic₄₇	1	8	yes	complemented
471	#124	C₂×Dic₄₇	1	8	yes	complemented
472	#123	C₂×Dic₄₇	1	16	yes	complemented
473	C₂²⋊Q₈	C₂×Dic₄₇	1	8	yes	complemented
474	#121	C₂×Dic₄₇	1	8	yes	—
475	C₄×Q₈	—	188	4	no	—
476	C₄×Q₈	C₂×Dic₄₇	1	8	yes	complemented
477	C₄×D₄	—	188	4	no	—
478	C₄×D₄	—	188	8	no	—
479	C₄×D₄	C₂×Dic₄₇	1	8	yes	complemented
480	C₄×D₄	C₂×Dic₄₇	1	16	yes	complemented
481	#117	—	94	8	no	—
482	#117	—	188	4	no	—
483	#117	C₂×Dic₄₇	1	16	yes	complemented
484	C₂×C₄⋊C₄	—	47	1	no	—
485	C₂×C₄⋊C₄	—	47	1	no	—
486	C₂×C₄⋊C₄	—	47	1	no	—
487	C₂×C₄⋊C₄	—	47	1	no	—
488	C₂×C₄⋊C₄	—	47	2	no	—
489	C₂×C₄⋊C₄	—	47	4	no	—
490	C₂×C₄⋊C₄	—	47	2	no	—
491	C₂×C₄⋊C₄	—	47	2	no	—
492	C₂×C₄⋊C₄	—	47	2	no	—
493	C₂×C₄⋊C₄	—	47	2	no	—
494	C₂×C₄⋊C₄	—	47	2	no	—
495	C₂×C₄⋊C₄	—	47	2	no	—
496	C₂×C₄⋊C₄	—	47	2	no	—
497	C₂×C₄⋊C₄	—	47	4	no	—
498	C₂×C₄⋊C₄	—	47	4	no	—
499	C₂×C₄⋊C₄	—	94	8	no	—
500	C₂×C₄⋊C₄	—	94	4	no	—
501	C₂×C₄⋊C₄	—	94	4	no	—
502	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
503	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
504	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
505	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
506	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
507	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
508	C₂×C₂²⋊C₄	—	47	4	no	—
509	C₂×C₂²⋊C₄	—	47	4	no	—
510	C₂×C₂²⋊C₄	—	47	4	no	—
511	C₂×C₂²⋊C₄	—	47	4	no	—
512	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
513	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
514	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
515	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
516	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
517	C₂×C₄²	—	47	4	no	—
518	C₂×C₄²	—	47	2	no	—
519	C₂×C₄²	—	47	2	no	—
520	C₂×C₄²	—	47	4	no	—
521	C₂×C₄²	—	47	4	no	—
522	C₂×C₄²	—	47	4	no	—
523	C₂×C₄²	—	47	2	no	—
524	C₂×C₄²	—	47	2	no	—
525	C₂×C₄²	—	188	4	no	—
526	C₂×C₄²	C₂×Dic₄₇	1	8	yes	complemented
527	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
528	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
529	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
530	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
531	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
532	#95	—	47	2	no	—
533	#95	—	47	2	no	—
534	#95	—	47	2	no	—
535	#95	—	47	2	no	—
536	#95	—	47	4	no	—
537	#95	—	47	4	no	—
538	#95	—	47	4	no	—
539	#95	—	47	4	no	—
540	#95	—	47	4	no	—
541	#95	—	47	4	no	—
542	#95	—	47	4	no	—
543	#95	—	47	4	no	—
544	C₂⁴	C₂³×D₄₇	1	2	yes	—
545	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
546	C₂×Q₈	—	2	2	no	—
547	C₂×Q₈	—	2	2	no	—
548	C₂×Q₈	C₂²×Dic₄₇	1	4	yes	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	2	no	—
552	C₂×D₄	—	2	2	no	—
553	C₂×D₄	C₂²×Dic₄₇	1	8	yes	—
554	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
555	C₂²×C₄	—	2	2	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	2	2	no	—
558	C₂²×C₄	—	2	2	no	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	—	2	4	no	—
561	C₂²×C₄	—	2	2	no	—
562	C₂²×C₄	—	2	2	no	—
563	C₂²×C₄	—	47	2	no	—
564	C₂²×C₄	—	47	2	no	—
565	C₂²×C₄	—	47	2	no	—
566	C₂²×C₄	—	47	4	no	—
567	C₂²×C₄	—	47	2	no	—
568	C₂²×C₄	—	47	4	no	—
569	C₂²×C₄	—	94	8	no	—
570	C₂²×C₄	—	94	4	no	—
571	C₂²×C₄	—	94	4	no	—
572	C₂²×C₄	—	94	4	no	—
573	C₂²×C₄	—	94	4	no	—
574	C₂²×C₄	—	188	4	no	—
575	C₂²×C₄	—	188	4	no	—
576	C₂²×C₄	—	188	2	no	—
577	C₂²×C₄	—	188	2	no	—
578	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
579	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
580	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
581	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
582	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
583	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
584	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
585	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
586	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
587	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
588	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
589	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
590	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
591	C₄⋊C₄	—	47	4	no	—
592	C₄⋊C₄	—	47	4	no	—
593	C₄⋊C₄	—	94	4	no	—
594	C₄⋊C₄	—	94	8	no	—
595	C₄⋊C₄	—	94	4	no	—
596	C₄⋊C₄	—	94	2	no	—
597	C₄⋊C₄	—	94	4	no	—
598	C₄⋊C₄	—	94	2	no	—
599	C₄⋊C₄	—	94	4	no	—
600	C₄⋊C₄	—	94	4	no	—
601	C₄⋊C₄	—	94	4	no	—
602	C₄⋊C₄	—	188	2	no	—
603	C₄⋊C₄	—	188	2	no	—
604	C₄⋊C₄	—	188	4	no	—
605	C₄⋊C₄	—	188	4	no	—
606	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
607	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
608	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
609	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
610	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
611	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
612	C₂²⋊C₄	—	94	8	no	—
613	C₂²⋊C₄	—	94	8	no	—
614	C₂²⋊C₄	—	188	4	no	—
615	C₂²⋊C₄	—	188	4	no	—
616	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
617	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
618	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
619	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
620	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
621	C₄²	—	94	8	no	—
622	C₄²	—	94	4	no	—
623	C₄²	—	94	4	no	—
624	C₄²	—	188	2	no	—
625	C₄²	—	188	2	no	—
626	C₄²	—	188	4	no	—
627	C₄²	—	188	4	no	—
628	C₄²	—	188	4	no	—
629	C₄²	C₂²×Dic₄₇	1	4	yes	—
630	C₄²	C₂²×Dic₄₇	1	4	yes	—
631	C₄²	C₂²×Dic₄₇	1	4	yes	—
632	C₄²	C₂²×Dic₄₇	1	4	yes	—
633	C₄²	C₂²×Dic₄₇	1	8	yes	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	2	no	—
639	C₂³	—	2	2	no	—
640	C₂³	—	2	2	no	—
641	C₂³	—	2	2	no	—
642	C₂³	—	2	2	no	—
643	C₂³	—	2	2	no	—
644	C₂³	C₂³×Dic₄₇	1	4	yes	—
645	C₂³	C₂³×Dic₄₇	1	2	yes	—
646	C₂³	#13094070	1	2	yes	—
647	C₂³	#13094071	1	2	yes	—
648	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
649	Q₈	—	2	8	no	—
650	D₄	—	2	16	no	—
651	D₄	—	2	8	no	—
652	C₂×C₄	—	2	8	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	8	no	—
668	C₂×C₄	—	2	16	no	—
669	C₂×C₄	—	2	8	no	—
670	C₂×C₄	—	47	4	no	—
671	C₂×C₄	—	47	4	no	—
672	C₂×C₄	—	94	2	no	—
673	C₂×C₄	—	94	2	no	—
674	C₂×C₄	—	94	2	no	—
675	C₂×C₄	—	94	2	no	—
676	C₂×C₄	—	94	4	no	—
677	C₂×C₄	—	94	4	no	—
678	C₂×C₄	—	94	2	no	—
679	C₂×C₄	—	94	2	no	—
680	C₂×C₄	—	94	2	no	—
681	C₂×C₄	—	94	2	no	—
682	C₂×C₄	—	94	4	no	—
683	C₂×C₄	—	94	4	no	—
684	C₂×C₄	—	94	4	no	—
685	C₂×C₄	—	94	2	no	—
686	C₂×C₄	—	94	4	no	—
687	C₂×C₄	—	94	2	no	—
688	C₂×C₄	—	376	8	no	—
689	C₂×C₄	—	188	8	no	—
690	C₂×C₄	—	188	8	no	—
691	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
692	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
693	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
694	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
695	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
696	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
697	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
698	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
699	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
700	C₂×C₄	#41×D₄₇	1	2	yes	—
701	C₂×C₄	#41×D₄₇	1	2	yes	—
702	C₂×C₄	#13094070	1	2	yes	—
703	C₂×C₄	#13094071	1	2	yes	—
704	C₂²	—	2	2	no	—
705	C₂²	—	2	2	no	—
706	C₂²	—	2	2	no	—
707	C₂²	—	2	2	no	—
708	C₂²	—	2	2	no	—
709	C₂²	—	2	2	no	—
710	C₂²	—	2	4	no	—
711	C₂²	—	2	4	no	—
712	C₂²	—	2	4	no	—
713	C₂²	—	4	2	no	—
714	C₂²	—	4	2	no	—
715	C₂²	—	4	2	no	—
716	C₂²	—	4	2	no	—
717	C₂²	#15689606	1	4	yes	—
718	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
719	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
720	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
721	C₂²	C₂×#13094070	1	1	yes	characteristic
722	C₂²	C₂×#13094070	1	1	yes	characteristic
723	C₂²	C₂×#13094071	1	1	yes	characteristic
724	C₂²	C₂×#13094071	1	1	yes	characteristic
725	C₄	—	2	4	no	—
726	C₄	—	2	2	no	—
727	C₄	—	2	2	no	—
728	C₄	—	2	2	no	—
729	C₄	—	2	2	no	—
730	C₄	—	2	4	no	—
731	C₄	—	2	4	no	—
732	C₄	—	94	4	no	—
733	C₄	—	94	4	no	—
734	C₄	—	188	4	no	—
735	C₄	—	188	2	no	—
736	C₄	—	188	2	no	—
737	C₄	—	188	4	no	—
738	C₄	#41×Dic₄₇	1	4	yes	—
739	C₄	#15689606	1	4	yes	—
740	C₂	—	2	4	no	—
741	C₂	—	4	4	no	—
742	C₂	C₂×#41×Dic₄₇	1	1	yes	characteristic
743	C₂	C₂×#15689606	1	1	yes	characteristic
744	C₂	C₂×#15689606	1	1	yes	characteristic
745	C₂	#20257422	1	1	yes	characteristic
746	C₂	#20257439	1	1	yes	characteristic
747	C₂	#20257471	1	1	yes	characteristic
748	C₂	#20257482	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₂×C₄₇×#529	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#121×C₄₇	C₂²
hypercenter	C₂×#529	D₄₇
hypocenter	C₄₇	#34243
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #20246488	C₂	semidirect
2. #20246463	C₂	semidirect
3. #20246384	C₂	semidirect
4. #20246345	C₂	semidirect
5. #20246337	C₂	semidirect
6. #20246317	C₂	semidirect
7. Q₈×C₄⋊Dic₄₇	C₂	semidirect
8. D₄×C₄⋊Dic₄₇	C₂	semidirect
9. D₄×C₄⋊Dic₄₇	C₂	semidirect
10. #20246167	C₂	semidirect
11. #20245997	C₂	semidirect
12. C₂²⋊Q₈×Dic₄₇	C₂	semidirect
14. #20245795	C₂	semidirect
15. #20245744	C₂	semidirect
16. C₂×C₄×C₄⋊Dic₄₇	C₂	semidirect
72. C₄₇×#529	C₄	semidirect
142. #126×C₄₇	C₂×C₄	semidirect
143. #125×C₄₇	C₂×C₄	semidirect
144. #124×C₄₇	C₂×C₄	semidirect
145. #123×C₄₇	C₂×C₄	semidirect
146. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
148. C₄×Q₈×C₄₇	C₂×C₄	semidirect
149. C₄×D₄×C₄₇	C₂×C₄	semidirect
150. C₄×D₄×C₄₇	C₂×C₄	semidirect
151. #117×C₄₇	C₂×C₄	semidirect
163. C₂×C₄²×C₄₇	C₂×C₄	semidirect
392. #529	Dic₄₇	semidirect
458. C₄₇	#34243	semidirect
469. #126	C₂×Dic₄₇	semidirect
470. #125	C₂×Dic₄₇	semidirect
471. #124	C₂×Dic₄₇	semidirect
472. #123	C₂×Dic₄₇	semidirect
473. C₂²⋊Q₈	C₂×Dic₄₇	semidirect
476. C₄×Q₈	C₂×Dic₄₇	semidirect
479. C₄×D₄	C₂×Dic₄₇	semidirect
480. C₄×D₄	C₂×Dic₄₇	semidirect
483. #117	C₂×Dic₄₇	semidirect
526. C₂×C₄²	C₂×Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20246488	2
#20246463	2
#20246384	2
#20246345	2
#20246337	2
#20246317	2
Q₈×C₄⋊Dic₄₇	2
D₄×C₄⋊Dic₄₇	2
#20246167	2
#20245997	2
C₂²⋊Q₈×Dic₄₇	2
#121×Dic₄₇	2
#20245795	2
#20245744	2
C₂×C₄×C₄⋊Dic₄₇	2
C₂×C₄₇×#529	2
#34243	47