Subgroups — #26122071

Order 12032.

1062 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄⋊(C₄₇⋊C₈)	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#15688877	C₂	1	4	yes	maximal
4	C₂²×C₄×C₈×C₄₇	C₂	1	1	yes	maximal, characteristic
5	C₂³×C₄₇⋊C₈	C₂²	1	2	yes	—
6	C₂²×C₄⋊Dic₄₇	C₄	1	2	yes	—
7	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
8	C₂×C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
9	C₂×C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
10	C₂×C₄⋊(C₄₇⋊C₈)	C₄	1	4	yes	complemented
11	C₄×C₄⋊Dic₄₇	—	2	2	no	—
12	C₄×C₄⋊Dic₄₇	—	2	2	no	—
13	C₂×C₄₇⋊#95	C₄	1	2	yes	—
14	#15688877	—	2	8	no	—
15	C₂³×C₈×C₄₇	C₂²	1	2	yes	—
16	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₈×C₄₇	—	2	2	no	—
18	C₂×C₄×C₈×C₄₇	—	2	2	no	—
19	C₂×C₄×C₈×C₄₇	C₄	1	4	yes	complemented
20	C₂³×Dic₄₇	C₂×C₄	1	4	yes	—
21	C₂²×C₄₇⋊C₈	—	2	4	no	—
22	C₂²×C₄₇⋊C₈	—	2	2	no	—
23	C₂²×C₄₇⋊C₈	—	2	2	no	—
24	C₂²×C₄₇⋊C₈	—	2	4	no	—
25	C₂²×C₄₇⋊C₈	C₂×C₄	1	4	yes	—
26	C₂×C₄⋊Dic₄₇	—	2	4	no	—
27	C₂×C₄⋊Dic₄₇	—	2	4	no	—
28	C₂×C₄⋊Dic₄₇	C₈	1	8	yes	complemented
29	C₂×C₄×Dic₄₇	—	2	2	no	—
30	C₂×C₄×Dic₄₇	—	2	2	no	—
31	C₂×C₄×Dic₄₇	—	2	4	no	—
32	C₂×C₄×Dic₄₇	—	2	4	no	—
33	C₄⋊(C₄₇⋊C₈)	—	2	8	no	—
34	C₄₇⋊#95	—	2	4	no	—
35	C₂³×C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
36	C₂³×C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
37	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₄₇	—	2	2	no	—
39	C₂²×C₈×C₄₇	—	2	2	no	—
40	C₂²×C₈×C₄₇	—	2	2	no	—
41	C₂²×C₈×C₄₇	—	2	2	no	—
42	C₂²×C₈×C₄₇	C₂×C₄	1	4	yes	—
43	C₂²×C₈×C₄₇	D₄	1	4	yes	—
44	C₂²×C₈×C₄₇	Q₈	1	4	yes	—
45	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
46	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
47	C₂×C₄²×C₄₇	D₄	1	2	yes	—
48	C₂×C₄²×C₄₇	D₄	1	2	yes	—
49	C₂×C₄²×C₄₇	D₄	1	2	yes	—
50	C₂×C₄²×C₄₇	Q₈	1	2	yes	—
51	C₄×C₈×C₄₇	—	2	8	no	—
52	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
53	C₂²×C₄×C₄₇	—	2	4	no	—
54	C₂²×C₄×C₄₇	C₄²	1	2	yes	—
55	C₂²×C₄×C₄₇	C₄²	1	2	yes	—
56	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
57	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
58	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
59	C₂²×C₄×C₄₇	C₄⋊C₄	1	2	yes	—
60	C₂²×C₄×C₄₇	C₂×C₈	1	4	yes	—
61	C₂²×C₄×C₄₇	M₁₆	1	4	yes	—
62	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
64	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
65	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
66	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
67	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
68	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
69	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
70	C₂²×C₄×C₄₇	#41	1	2	yes	—
71	C₂²×C₄×C₄₇	#41	1	2	yes	—
72	C₂²×Dic₄₇	—	2	4	no	—
73	C₂²×Dic₄₇	—	2	8	no	—
74	C₂²×Dic₄₇	—	2	4	no	—
75	C₂²×Dic₄₇	—	2	8	no	—
76	C₂²×Dic₄₇	C₂×C₈	1	8	yes	—
77	C₂×C₈×C₄₇	—	2	4	no	—
78	C₂×C₈×C₄₇	—	2	4	no	—
79	C₂×C₈×C₄₇	—	2	4	no	—
80	C₂×C₈×C₄₇	—	2	4	no	—
81	C₂×C₈×C₄₇	—	2	4	no	—
82	C₂×C₈×C₄₇	—	2	4	no	—
83	C₂×C₈×C₄₇	C₄⋊C₄	1	8	yes	complemented
84	C₄²×C₄₇	C₂²⋊C₄	1	4	yes	—
85	C₄²×C₄₇	C₂²⋊C₄	1	4	yes	—
86	C₄²×C₄₇	C₄⋊C₄	1	4	yes	—
87	C₄²×C₄₇	C₄⋊C₄	1	4	yes	—
88	C₄⋊Dic₄₇	—	2	16	no	—
89	C₄×Dic₄₇	—	4	4	no	—
90	C₄×Dic₄₇	—	4	2	no	—
91	C₄×Dic₄₇	—	4	2	no	—
92	C₂×C₄₇⋊C₈	—	2	4	no	—
93	C₂×C₄₇⋊C₈	—	2	8	no	—
94	C₂×C₄₇⋊C₈	—	4	4	no	—
95	C₂×C₄₇⋊C₈	—	4	2	no	—
96	C₂×C₄₇⋊C₈	—	4	2	no	—
97	C₂³×C₄₇	C₂×C₄²	1	1	yes	characteristic
98	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
99	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
100	C₂³×C₄₇	C₄×D₄	1	2	yes	—
101	C₂³×C₄₇	C₄×Q₈	1	2	yes	—
102	C₂³×C₄₇	C₂²×C₈	1	2	yes	—
103	C₂³×C₄₇	C₂×M₁₆	1	2	yes	—
104	C₂³×C₄₇	#131	1	4	yes	—
105	C₂×C₄×C₄₇	—	2	4	no	—
106	C₂×C₄×C₄₇	—	2	4	no	—
107	C₂×C₄×C₄₇	—	2	4	no	—
108	C₂×C₄×C₄₇	#95	1	4	yes	—
109	C₂×C₄×C₄₇	#95	1	4	yes	—
110	C₂×C₄×C₄₇	C₄×C₈	1	4	yes	—
111	C₂×C₄×C₄₇	#97	1	4	yes	—
112	C₂×C₄×C₄₇	C₂²⋊C₈	1	8	yes	—
113	C₂×C₄×C₄₇	C₄⋊C₈	1	8	yes	—
114	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
115	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
116	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
117	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
118	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
119	C₂×C₄×C₄₇	#117	1	2	yes	—
120	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
121	C₂×C₄×C₄₇	C₄×Q₈	1	2	yes	—
122	C₂×C₄×C₄₇	#121	1	2	yes	—
123	C₂×C₄×C₄₇	#121	1	2	yes	—
124	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
125	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
126	C₂×C₄×C₄₇	#124	1	1	yes	characteristic
127	C₂×C₄×C₄₇	#124	1	1	yes	characteristic
128	C₂×C₄×C₄₇	#125	1	2	yes	—
129	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
130	C₂×C₄×C₄₇	C₄⋊Q₈	1	2	yes	—
131	C₂×C₄×C₄₇	C₄⋊Q₈	1	1	yes	characteristic
132	C₂×Dic₄₇	—	2	8	no	—
133	C₂×Dic₄₇	—	2	16	no	—
134	C₂×Dic₄₇	—	4	4	no	—
135	C₂×Dic₄₇	—	4	4	no	—
136	C₂×Dic₄₇	—	4	8	no	—
137	C₈×C₄₇	—	2	8	no	—
138	C₄₇⋊C₈	—	4	4	no	—
139	#10834	—	47	1	no	maximal, Sylow
140	C₂²×C₄₇	C₂×#95	1	1	yes	characteristic
141	C₂²×C₄₇	C₄×C₄⋊C₄	1	2	yes	—
142	C₂²×C₄₇	#389	1	2	yes	—
143	C₂²×C₄₇	#390	1	1	yes	characteristic
144	C₂²×C₄₇	#391	1	1	yes	characteristic
145	C₂²×C₄₇	C₂×C₄×C₈	1	1	yes	characteristic
146	C₂²×C₄₇	C₂×#97	1	1	yes	characteristic
147	C₂²×C₄₇	#405	1	2	yes	—
148	C₂²×C₄₇	C₂×C₂²⋊C₈	1	2	yes	—
149	C₂²×C₄₇	#408	1	2	yes	—
150	C₂²×C₄₇	C₂×C₄⋊C₈	1	2	yes	—
151	C₂²×C₄₇	#424	1	2	yes	—
152	C₂²×C₄₇	C₈×D₄	1	4	yes	—
153	C₂²×C₄₇	#436	1	4	yes	—
154	C₂²×C₄₇	C₈×Q₈	1	4	yes	—
155	C₂²×C₄₇	#446	1	4	yes	—
156	C₄×C₄₇	—	2	4	no	—
157	C₄×C₄₇	#336	1	8	yes	complemented
158	C₄×C₄₇	#380	1	2	yes	—
159	C₄×C₄₇	#382	1	1	yes	characteristic
160	C₄×C₄₇	#384	1	1	yes	characteristic
161	C₄×C₄₇	#389	1	2	yes	—
162	C₄×C₄₇	#390	1	1	yes	characteristic
163	C₄×C₄₇	#391	1	1	yes	characteristic
164	Dic₄₇	—	4	8	no	—
165	C₂²×C₄⋊C₈	—	47	1	no	—
166	C₂²×C₄×C₈	D₄₇	1	1	yes	characteristic
167	C₂×C₄×C₄⋊C₄	—	47	1	no	—
168	C₂×#336	—	47	4	no	—
169	C₂×C₄₇	C₄⋊#95	1	1	yes	characteristic
170	C₂×C₄₇	C₂×#336	1	1	yes	characteristic
171	C₂×C₄₇	#1729	1	1	yes	characteristic
172	C₂×C₄₇	C₈×C₄⋊C₄	1	2	yes	—
173	C₂×C₄₇	#1770	1	2	yes	—
174	C₂×C₄₇	#1939	1	4	yes	—
175	C₂×C₄₇	#1954	1	2	yes	—
176	C₂×C₄₇	#1984	1	2	yes	—
177	C₂³×C₈	—	47	2	no	—
178	C₂³×C₈	C₂×D₄₇	1	2	yes	—
179	C₂²×C₄⋊C₄	—	47	2	no	—
180	C₂²×C₄²	—	47	2	no	—
181	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
182	C₂×C₄⋊C₈	—	47	4	no	—
183	C₂×C₄⋊C₈	—	94	2	no	—
184	C₂×C₄⋊C₈	—	94	2	no	—
185	C₂×C₄×C₈	—	2	2	no	—
186	C₂×C₄×C₈	—	2	2	no	—
187	C₂×C₄×C₈	Dic₄₇	1	4	yes	complemented
188	C₄×C₄⋊C₄	—	94	2	no	—
189	C₄×C₄⋊C₄	—	94	2	no	—
190	C₂×#95	—	47	2	no	—
191	#336	—	94	8	no	—
192	C₄₇	#10834	1	1	yes	characteristic, complemented, Sylow
193	C₂³×C₄	—	47	4	no	—
194	C₂³×C₄	C₄×D₄₇	1	1	yes	characteristic
195	C₂³×C₄	C₄×D₄₇	1	1	yes	characteristic
196	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
197	C₂²×C₈	—	2	2	no	—
198	C₂²×C₈	—	2	2	no	—
199	C₂²×C₈	—	2	2	no	—
200	C₂²×C₈	—	2	2	no	—
201	C₂²×C₈	—	47	4	no	—
202	C₂²×C₈	—	94	4	no	—
203	C₂²×C₈	—	94	2	no	—
204	C₂²×C₈	—	94	4	no	—
205	C₂²×C₈	—	94	2	no	—
206	C₂²×C₈	Dic₉₄	1	4	yes	—
207	C₂²×C₈	D₁₈₈	1	4	yes	—
208	C₂²×C₈	C₂×Dic₄₇	1	4	yes	—
209	C₂×C₄⋊C₄	—	47	8	no	—
210	C₂×C₄⋊C₄	—	94	4	no	—
211	C₂×C₄⋊C₄	—	94	4	no	—
212	C₂×C₄²	—	94	4	no	—
213	C₂×C₄²	—	94	2	no	—
214	C₂×C₄²	—	94	4	no	—
215	C₂×C₄²	—	94	2	no	—
216	C₂×C₄²	Dic₉₄	1	2	yes	—
217	C₂×C₄²	C₄×D₄₇	1	2	yes	—
218	C₂×C₄²	D₁₈₈	1	2	yes	—
219	C₂×C₄²	C₂×Dic₄₇	1	2	yes	—
220	C₂×C₄²	C₂²⋊D₄₇	1	2	yes	—
221	C₂×C₄²	C₂²⋊D₄₇	1	2	yes	—
222	C₄⋊C₈	—	94	8	no	—
223	C₄×C₈	—	2	8	no	—
224	#95	—	94	4	no	—
225	C₂⁴	C₂×C₄×D₄₇	1	1	yes	characteristic
226	C₂²×C₄	—	2	4	no	—
227	C₂²×C₄	—	47	8	no	—
228	C₂²×C₄	—	94	4	no	—
229	C₂²×C₄	—	94	8	no	—
230	C₂²×C₄	—	94	4	no	—
231	C₂²×C₄	—	94	8	no	—
232	C₂²×C₄	C₈×D₄₇	1	4	yes	—
233	C₂²×C₄	#10625324	1	4	yes	—
234	C₂²×C₄	C₄×Dic₄₇	1	2	yes	—
235	C₂²×C₄	C₄×Dic₄₇	1	2	yes	—
236	C₂²×C₄	Dic₄₇⋊C₄	1	2	yes	—
237	C₂²×C₄	Dic₄₇⋊C₄	1	2	yes	—
238	C₂²×C₄	(C₂×D₄₇)⋊C₄	1	2	yes	—
239	C₂²×C₄	(C₂×D₄₇)⋊C₄	1	2	yes	—
240	C₂²×C₄	C₂×Dic₉₄	1	1	yes	characteristic
241	C₂²×C₄	C₂×Dic₉₄	1	2	yes	—
242	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
243	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
244	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
245	C₂²×C₄	#10625350	1	2	yes	—
246	C₂²×C₄	#10625350	1	2	yes	—
247	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
248	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
249	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
250	C₂×C₈	—	2	4	no	—
251	C₂×C₈	—	2	4	no	—
252	C₂×C₈	—	2	4	no	—
253	C₂×C₈	—	2	4	no	—
254	C₂×C₈	—	2	4	no	—
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	—	94	4	no	—
257	C₂×C₈	—	94	8	no	—
258	C₂×C₈	—	188	4	no	—
259	C₂×C₈	—	188	2	no	—
260	C₂×C₈	—	188	2	no	—
261	C₂×C₈	C₄⋊Dic₄₇	1	8	yes	complemented
262	C₄⋊C₄	—	94	16	no	—
263	C₄²	—	188	4	no	—
264	C₄²	—	188	2	no	—
265	C₄²	—	188	2	no	—
266	C₄²	Dic₄₇⋊C₄	1	4	yes	—
267	C₄²	C₄⋊Dic₄₇	1	4	yes	—
268	C₄²	(C₂×D₄₇)⋊C₄	1	4	yes	—
269	C₄²	C₂²⋊Dic₄₇	1	4	yes	—
270	C₂³	C₂×C₄×Dic₄₇	1	1	yes	characteristic
271	C₂³	C₂×(C₂×D₄₇)⋊C₄	1	1	yes	characteristic
272	C₂³	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
273	C₂³	C₄×D₁₈₈	1	2	yes	—
274	C₂³	C₄×Dic₉₄	1	2	yes	—
275	C₂³	C₂×C₈×D₄₇	1	2	yes	—
276	C₂³	C₂×#10625324	1	2	yes	—
277	C₂³	#13094030	1	4	yes	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	2	4	no	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	94	8	no	—
282	C₂×C₄	—	94	16	no	—
283	C₂×C₄	—	188	4	no	—
284	C₂×C₄	—	188	4	no	—
285	C₂×C₄	—	188	8	no	—
286	C₂×C₄	C₄₇⋊#95	1	4	yes	—
287	C₂×C₄	C₄₇⋊#95	1	4	yes	—
288	C₂×C₄	C₈×Dic₄₇	1	4	yes	—
289	C₂×C₄	#13093934	1	4	yes	—
290	C₂×C₄	(C₂×D₄₇)⋊C₈	1	8	yes	—
291	C₂×C₄	Dic₄₇⋊C₈	1	8	yes	—
292	C₂×C₄	C₂×(C₂×D₄₇)⋊C₄	1	1	yes	characteristic
293	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	1	yes	characteristic
294	C₂×C₄	C₂×Dic₄₇⋊C₄	1	1	yes	characteristic
295	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
296	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
297	C₂×C₄	#13093983	1	2	yes	—
298	C₂×C₄	C₄×D₁₈₈	1	2	yes	—
299	C₂×C₄	C₄×Dic₉₄	1	2	yes	—
300	C₂×C₄	#13093998	1	2	yes	—
301	C₂×C₄	#13093998	1	2	yes	—
302	C₂×C₄	#13094003	1	2	yes	—
303	C₂×C₄	#13094003	1	2	yes	—
304	C₂×C₄	#13094012	1	1	yes	characteristic
305	C₂×C₄	#13094012	1	1	yes	characteristic
306	C₂×C₄	#13094016	1	2	yes	—
307	C₂×C₄	#13094021	1	1	yes	characteristic
308	C₂×C₄	#13094024	1	2	yes	—
309	C₂×C₄	#13094024	1	1	yes	characteristic
310	C₈	—	2	8	no	—
311	C₈	—	188	4	no	—
312	C₂²	C₂×C₄₇⋊#95	1	1	yes	characteristic
313	C₂²	C₄×C₄⋊Dic₄₇	1	2	yes	—
314	C₂²	#15689021	1	2	yes	—
315	C₂²	#15689025	1	1	yes	characteristic
316	C₂²	#15689029	1	1	yes	characteristic
317	C₂²	C₂×C₈×Dic₄₇	1	1	yes	characteristic
318	C₂²	C₂×#13093934	1	1	yes	characteristic
319	C₂²	#15689078	1	2	yes	—
320	C₂²	C₂×(C₂×D₄₇)⋊C₈	1	2	yes	—
321	C₂²	#15689089	1	2	yes	—
322	C₂²	C₂×Dic₄₇⋊C₈	1	2	yes	—
323	C₂²	#15689149	1	2	yes	—
324	C₂²	C₈×D₁₈₈	1	4	yes	—
325	C₂²	#15689202	1	4	yes	—
326	C₂²	C₈×Dic₉₄	1	4	yes	—
327	C₂²	#15689253	1	4	yes	—
328	C₄	—	2	4	no	—
329	C₄	—	188	8	no	—
330	C₄	#15688877	1	8	yes	complemented
331	C₄	#15688983	1	2	yes	—
332	C₄	#15688989	1	1	yes	characteristic
333	C₄	#15688993	1	1	yes	characteristic
334	C₄	#15689021	1	2	yes	—
335	C₄	#15689025	1	1	yes	characteristic
336	C₄	#15689029	1	1	yes	characteristic
337	C₂	#20241618	1	1	yes	characteristic
338	C₂	C₂×#15688877	1	1	yes	characteristic
339	C₂	#20243084	1	1	yes	characteristic
340	C₂	C₈×C₄⋊Dic₄₇	1	2	yes	—
341	C₂	#20243255	1	2	yes	—
342	C₂	#20244106	1	4	yes	—
343	C₂	#20244182	1	2	yes	—
344	C₂	#20244324	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂³×C₄	C₂²×D₄₇
commutator	C₂²×C₄₇	C₂×C₄×C₈
Fitting	C₂²×C₄×C₈×C₄₇	C₂
socle, prime radical	C₂⁴×C₄₇	C₂²×C₄
cosocle	C₂³×C₄×C₄₇	C₂³
hypercenter	C₂²×C₄×C₈	D₄₇
hypocenter	C₄₇	#10834
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³×C₄ ◁ C₂²×C₄×C₈

Complements

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

N	H ≅ G/N	type
10. C₂×C₄⋊(C₄₇⋊C₈)	C₄	semidirect
19. C₂×C₄×C₈×C₄₇	C₄	semidirect
28. C₂×C₄⋊Dic₄₇	C₈	semidirect
83. C₂×C₈×C₄₇	C₄⋊C₄	semidirect
157. C₄×C₄₇	#336	semidirect
187. C₂×C₄×C₈	Dic₄₇	semidirect
192. C₄₇	#10834	semidirect
261. C₂×C₈	C₄⋊Dic₄₇	semidirect
330. C₄	#15688877	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₄⋊(C₄₇⋊C₈)	2
C₂×C₄×C₄⋊Dic₄₇	2
C₂×#15688877	2
C₂²×C₄×C₈×C₄₇	2
#10834	47