Subgroups — C₄×D₈×Dic₄₇ #26214743

Order 12032.

1350 conjugacy classes of subgroups.

The subgroup lattice has 332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₈×Dic₄₇	C₂	1	2	yes	maximal
2	C₄×D₄×Dic₄₇	C₂	1	2	yes	maximal, complemented
3	#107×Dic₄₇	C₂	1	2	yes	maximal, complemented
4	C₄×#13093958	C₂	1	1	yes	maximal, characteristic, complemented
5	#102×Dic₄₇	C₂	1	4	yes	maximal, complemented
6	C₄×#13093945	C₂	1	2	yes	maximal, complemented
7	C₄×C₈×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×D₈×C₄₇	C₂	1	1	yes	maximal, characteristic
9	C₂×D₄×Dic₄₇	C₂²	1	4	yes	—
10	C₂²×C₄×Dic₄₇	—	2	2	no	—
11	D₈×Dic₄₇	C₄	1	16	yes	direct product factor
12	C₂×#13093958	C₂²	1	2	yes	—
13	C₂×#13093945	C₂²	1	4	yes	—
14	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
16	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
17	C₄⋊C₄×Dic₄₇	C₂²	1	4	yes	—
18	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
19	C₂²⋊C₄×Dic₄₇	—	2	4	no	—
20	C₄×C₂²⋊Dic₄₇	—	2	2	no	—
21	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
22	#15688886	C₂²	1	2	yes	—
23	#15688885	C₂²	1	4	yes	—
24	C₂²×D₈×C₄₇	C₂²	1	1	yes	characteristic
25	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
26	C₄×D₈×C₄₇	C₄	1	8	yes	complemented
27	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
28	C₂×#102×C₄₇	C₂²	1	2	yes	—
29	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
30	C₂³×Dic₄₇	—	2	4	no	—
31	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
32	D₄×Dic₄₇	—	2	8	no	—
33	D₄×Dic₄₇	C₂×C₄	1	16	yes	complemented
34	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
35	C₂×C₂²⋊Dic₄₇	—	2	4	no	—
36	C₂×C₄×Dic₄₇	—	2	2	no	—
37	C₂×C₄×Dic₄₇	—	2	4	no	—
38	C₂×C₄×Dic₄₇	—	4	8	no	—
39	C₂×C₄×Dic₄₇	D₄	1	1	yes	characteristic
40	C₂×C₄×Dic₄₇	D₄	1	2	yes	—
41	C₂×C₄×Dic₄₇	D₄	1	1	yes	characteristic
42	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
43	#13093958	C₂×C₄	1	8	yes	complemented
44	#13093945	C₂×C₄	1	16	yes	complemented
45	C₄×C₄₇⋊C₈	—	2	2	no	—
46	C₈×Dic₄₇	—	2	4	no	—
47	C₈×Dic₄₇	C₂×C₄	1	8	yes	complemented
48	C₄₇⋊#95	—	2	2	no	—
49	C₄₇⋊#95	—	2	4	no	—
50	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
51	C₂³×C₄×C₄₇	—	2	2	no	—
52	C₂×D₈×C₄₇	C₂×C₄	1	8	yes	—
53	C₂×D₈×C₄₇	C₂×C₄	1	4	yes	—
54	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
55	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
56	C₄×D₄×C₄₇	—	2	4	no	—
57	C₄×D₄×C₄₇	C₂×C₄	1	8	yes	complemented
58	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
59	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
60	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
61	#107×C₄₇	C₂×C₄	1	4	yes	complemented
62	#102×C₄₇	C₂×C₄	1	8	yes	complemented
63	C₄×C₈×C₄₇	C₂×C₄	1	4	yes	complemented
64	C₂⁴×C₄₇	—	2	2	no	—
65	C₂×D₄×C₄₇	—	2	2	no	—
66	C₂×D₄×C₄₇	—	2	4	no	—
67	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
68	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
69	C₂²×C₄×C₄₇	—	2	2	no	—
70	C₂²×C₄×C₄₇	—	2	8	no	—
71	C₂²×C₄×C₄₇	—	4	4	no	—
72	C₂²×C₄×C₄₇	—	4	4	no	—
73	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
76	C₂²×Dic₄₇	—	2	4	no	—
77	C₂²×Dic₄₇	—	2	16	no	—
78	C₂²×Dic₄₇	—	4	8	no	—
79	C₂²×Dic₄₇	—	4	8	no	—
80	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
81	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
82	D₈×C₄₇	C₄²	1	16	yes	complemented
83	C₂×C₈×C₄₇	—	2	2	no	—
84	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
85	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	—
86	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
87	C₄⋊C₄×C₄₇	—	2	2	no	—
88	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
89	C₂²⋊C₄×C₄₇	—	2	8	no	—
90	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
91	C₄²×C₄₇	#41	1	2	yes	—
92	C₂²⋊Dic₄₇	—	2	16	no	—
93	C₄⋊Dic₄₇	—	2	4	no	—
94	C₄⋊Dic₄₇	C₂²×C₄	1	8	yes	—
95	C₄×Dic₄₇	—	2	2	no	—
96	C₄×Dic₄₇	—	2	4	no	—
97	C₄×Dic₄₇	—	4	4	no	—
98	C₄×Dic₄₇	—	4	8	no	—
99	C₄×Dic₄₇	D₈	1	4	yes	direct product factor
100	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
101	C₄×Dic₄₇	#41	1	4	yes	—
102	C₂×C₄₇⋊C₈	—	2	2	no	—
103	C₂×C₄₇⋊C₈	—	2	2	no	—
104	C₂×C₄₇⋊C₈	C₂²×C₄	1	4	yes	—
105	C₂³×C₄₇	—	2	8	no	—
106	C₂³×C₄₇	—	2	4	no	—
107	C₂³×C₄₇	—	4	2	no	—
108	C₂³×C₄₇	—	4	4	no	—
109	C₂³×C₄₇	—	4	2	no	—
110	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
111	D₄×C₄₇	—	2	8	no	—
112	D₄×C₄₇	—	2	4	no	—
113	D₄×C₄₇	C₂×C₄²	1	8	yes	complemented
114	C₂×C₄×C₄₇	—	2	2	no	—
115	C₂×C₄×C₄₇	—	2	4	no	—
116	C₂×C₄×C₄₇	—	4	2	no	—
117	C₂×C₄×C₄₇	—	4	2	no	—
118	C₂×C₄×C₄₇	—	4	16	no	—
119	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
120	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
121	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
122	C₂×C₄×C₄₇	#135	1	2	yes	—
123	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
124	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
125	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
126	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
127	C₂×Dic₄₇	—	2	2	no	—
128	C₂×Dic₄₇	—	2	2	no	—
129	C₂×Dic₄₇	—	2	8	no	—
130	C₂×Dic₄₇	—	4	4	no	—
131	C₂×Dic₄₇	—	4	4	no	—
132	C₂×Dic₄₇	—	4	32	no	—
133	C₂×Dic₄₇	C₄×D₄	1	4	yes	—
134	C₂×Dic₄₇	C₄×D₄	1	4	yes	—
135	C₂×Dic₄₇	C₂×D₈	1	4	yes	—
136	C₂×Dic₄₇	#135	1	4	yes	—
137	C₈×C₄₇	—	2	2	no	—
138	C₈×C₄₇	C₂×C₄²	1	4	yes	complemented
139	C₄₇⋊C₈	—	2	4	no	—
140	C₄²×D₈	—	47	1	no	maximal, Sylow
141	C₂²×C₄₇	—	2	8	no	—
142	C₂²×C₄₇	—	4	8	no	—
143	C₂²×C₄₇	—	4	4	no	—
144	C₂²×C₄₇	—	4	4	no	—
145	C₂²×C₄₇	—	4	8	no	—
146	C₂²×C₄₇	C₂×C₄×D₄	1	2	yes	—
147	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
148	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
149	C₂²×C₄₇	C₂×#135	1	2	yes	—
150	C₂²×C₄₇	C₂×#135	1	1	yes	characteristic
151	C₄×C₄₇	—	2	2	no	—
152	C₄×C₄₇	—	4	4	no	—
153	C₄×C₄₇	C₄×D₈	1	4	yes	complemented
154	C₄×C₄₇	C₂²×C₄²	1	1	yes	characteristic
155	C₄×C₄₇	C₄×#41	1	2	yes	—
156	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
157	Dic₄₇	—	2	4	no	—
158	Dic₄₇	—	4	8	no	—
159	Dic₄₇	C₄×D₈	1	8	yes	direct product factor
160	C₂×C₄×D₈	—	47	2	no	—
161	C₂×C₄×D₈	D₄₇	1	1	yes	characteristic
162	C₄²×D₄	—	47	2	no	—
163	C₄×#107	—	47	2	no	—
164	C₄×#107	—	47	1	no	—
165	C₄×#102	—	47	4	no	—
166	C₄×#102	—	47	2	no	—
167	C₄²×C₈	—	47	1	no	—
168	C₂×C₄₇	—	4	8	no	—
169	C₂×C₄₇	C₄²×D₄	1	1	yes	characteristic
170	C₂×C₄₇	C₂×C₄×D₈	1	2	yes	—
171	C₂×C₄₇	C₂×C₄×D₈	1	1	yes	characteristic
172	C₂×C₄₇	C₄×#135	1	1	yes	characteristic
173	C₂×C₄₇	C₄×#135	1	2	yes	—
174	C₂²×D₈	C₂×D₄₇	1	1	yes	characteristic
175	C₂×C₄×D₄	—	47	4	no	—
176	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
177	C₂²×C₄²	—	94	2	no	—
178	C₄×D₈	—	47	16	no	—
179	C₄×D₈	Dic₄₇	1	8	yes	direct product factor
180	C₂×#107	—	47	2	no	—
181	C₂×#107	C₂×D₄₇	1	1	yes	characteristic
182	C₂×#102	—	47	4	no	—
183	C₂×#102	C₂×D₄₇	1	2	yes	—
184	C₂×C₄×C₈	—	47	2	no	—
185	C₂×C₄×C₈	—	47	2	no	—
186	C₂×C₄×C₈	—	47	1	no	—
187	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
188	C₄×C₄⋊C₄	—	47	4	no	—
189	C₄×C₄⋊C₄	—	47	2	no	—
190	C₄×C₂²⋊C₄	—	94	4	no	—
191	C₄×C₂²⋊C₄	—	94	2	no	—
192	C₄³	—	47	1	no	—
193	#340	—	47	2	no	—
194	#340	—	47	4	no	—
195	C₄₇	C₄²×D₈	1	1	yes	characteristic, complemented, Sylow
196	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
197	C₂³×C₄	—	2	2	no	—
198	C₂³×C₄	—	94	4	no	—
199	C₂×D₈	C₄×D₄₇	1	8	yes	—
200	C₂×D₈	C₂×Dic₄₇	1	4	yes	—
201	C₂²×C₈	—	47	2	no	—
202	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
203	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
204	C₄×D₄	—	2	4	no	—
205	C₄×D₄	—	47	16	no	—
206	C₄×D₄	—	94	8	no	—
207	C₄×D₄	C₂×Dic₄₇	1	8	yes	complemented
208	C₂×C₄⋊C₄	—	47	4	no	—
209	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
210	C₂×C₂²⋊C₄	—	2	2	no	—
211	C₂×C₂²⋊C₄	—	94	4	no	—
212	C₂×C₄²	—	47	1	no	—
213	C₂×C₄²	—	47	2	no	—
214	C₂×C₄²	—	47	2	no	—
215	C₂×C₄²	—	47	1	no	—
216	C₂×C₄²	—	94	4	no	—
217	C₂×C₄²	—	94	2	no	—
218	C₂×C₄²	—	188	8	no	—
219	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
220	#107	—	47	8	no	—
221	#107	C₂×Dic₄₇	1	4	yes	complemented
222	#102	—	47	16	no	—
223	#102	C₂×Dic₄₇	1	8	yes	complemented
224	C₄×C₈	—	47	8	no	—
225	C₄×C₈	—	94	4	no	—
226	C₄×C₈	—	94	2	no	—
227	C₄×C₈	C₂×Dic₄₇	1	4	yes	complemented
228	#95	—	94	4	no	—
229	#95	—	94	2	no	—
230	C₂⁴	—	2	2	no	—
231	C₂×D₄	—	2	4	no	—
232	C₂×D₄	—	2	2	no	—
233	C₂×D₄	C₂×C₄×D₄₇	1	8	yes	—
234	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
235	C₂²×C₄	—	2	2	no	—
236	C₂²×C₄	—	2	8	no	—
237	C₂²×C₄	—	4	4	no	—
238	C₂²×C₄	—	4	4	no	—
239	C₂²×C₄	—	47	2	no	—
240	C₂²×C₄	—	47	2	no	—
241	C₂²×C₄	—	94	16	no	—
242	C₂²×C₄	—	94	4	no	—
243	C₂²×C₄	—	188	8	no	—
244	C₂²×C₄	—	188	8	no	—
245	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
246	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
247	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
248	D₈	C₄×Dic₄₇	1	16	yes	direct product factor
249	C₂×C₈	—	2	2	no	—
250	C₂×C₈	—	47	4	no	—
251	C₂×C₈	—	94	2	no	—
252	C₂×C₈	—	94	2	no	—
253	C₂×C₈	C₂×C₄×D₄₇	1	4	yes	—
254	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
255	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
256	C₄⋊C₄	—	2	2	no	—
257	C₄⋊C₄	—	47	8	no	—
258	C₄⋊C₄	—	94	4	no	—
259	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
260	C₂²⋊C₄	—	2	8	no	—
261	C₂²⋊C₄	—	94	16	no	—
262	C₄²	—	47	4	no	—
263	C₄²	—	47	4	no	—
264	C₄²	—	47	4	no	—
265	C₄²	—	94	4	no	—
266	C₄²	—	94	2	no	—
267	C₄²	—	188	8	no	—
268	C₄²	—	188	4	no	—
269	C₄²	#10625352	1	2	yes	—
270	C₄²	C₂²×Dic₄₇	1	2	yes	—
271	C₂³	—	2	8	no	—
272	C₂³	—	2	4	no	—
273	C₂³	—	4	2	no	—
274	C₂³	—	4	4	no	—
275	C₂³	—	4	2	no	—
276	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
277	D₄	—	2	8	no	—
278	D₄	—	2	4	no	—
279	D₄	C₂×C₄×Dic₄₇	1	8	yes	complemented
280	C₂×C₄	—	2	2	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	4	2	no	—
283	C₂×C₄	—	4	2	no	—
284	C₂×C₄	—	4	16	no	—
285	C₂×C₄	—	47	4	no	—
286	C₂×C₄	—	47	4	no	—
287	C₂×C₄	—	47	4	no	—
288	C₂×C₄	—	47	4	no	—
289	C₂×C₄	—	94	2	no	—
290	C₂×C₄	—	94	2	no	—
291	C₂×C₄	—	94	8	no	—
292	C₂×C₄	—	188	32	no	—
293	C₂×C₄	—	188	4	no	—
294	C₂×C₄	—	188	4	no	—
295	C₂×C₄	D₄×Dic₄₇	1	2	yes	—
296	C₂×C₄	D₄×Dic₄₇	1	2	yes	—
297	C₂×C₄	D₈×D₄₇	1	2	yes	—
298	C₂×C₄	#13094043	1	2	yes	—
299	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
300	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
301	C₂×C₄	#41×D₄₇	1	2	yes	—
302	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
303	C₈	—	2	2	no	—
304	C₈	—	94	4	no	—
305	C₈	C₂×C₄×Dic₄₇	1	4	yes	complemented
306	C₂²	—	2	8	no	—
307	C₂²	—	4	4	no	—
308	C₂²	—	4	8	no	—
309	C₂²	—	4	4	no	—
310	C₂²	—	4	8	no	—
311	C₂²	C₄×D₄×D₄₇	1	2	yes	—
312	C₂²	C₂×D₄×Dic₄₇	1	1	yes	characteristic
313	C₂²	C₂×D₈×D₄₇	1	1	yes	characteristic
314	C₂²	#135×D₄₇	1	2	yes	—
315	C₂²	C₂×#13094043	1	1	yes	characteristic
316	C₄	—	2	2	no	—
317	C₄	—	4	4	no	—
318	C₄	—	47	8	no	—
319	C₄	—	94	4	no	—
320	C₄	—	188	8	no	—
321	C₄	D₈×Dic₄₇	1	4	yes	direct product factor
322	C₄	C₂²×C₄×Dic₄₇	1	1	yes	characteristic
323	C₄	C₄×#10625352	1	2	yes	—
324	C₄	#41×Dic₄₇	1	1	yes	characteristic
325	C₂	—	4	8	no	—
326	C₂	C₄×D₄×Dic₄₇	1	1	yes	characteristic
327	C₂	C₄×D₈×D₄₇	1	2	yes	—
328	C₂	C₂×D₈×Dic₄₇	1	1	yes	characteristic
329	C₂	C₄×#13094043	1	2	yes	—
330	C₂	#135×Dic₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₄₇
commutator	C₄×C₄₇	C₂²×C₄²
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₂×C₄×D₈×C₄₇	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂²×D₈×C₄₇	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₂×C₄×D₈	D₄₇
hypocenter	C₄₇	C₄²×D₈
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ C₂×C₄×D₈

Complements

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

N	H ≅ G/N	type
2. C₄×D₄×Dic₄₇	C₂	semidirect
3. #107×Dic₄₇	C₂	semidirect
4. C₄×#13093958	C₂	semidirect
5. #102×Dic₄₇	C₂	semidirect
6. C₄×#13093945	C₂	semidirect
7. C₄×C₈×Dic₄₇	C₂	semidirect
11. D₈×Dic₄₇	C₄	direct (N × H)
26. C₄×D₈×C₄₇	C₄	semidirect
33. D₄×Dic₄₇	C₂×C₄	semidirect
43. #13093958	C₂×C₄	semidirect
44. #13093945	C₂×C₄	semidirect
47. C₈×Dic₄₇	C₂×C₄	semidirect
57. C₄×D₄×C₄₇	C₂×C₄	semidirect
61. #107×C₄₇	C₂×C₄	semidirect
62. #102×C₄₇	C₂×C₄	semidirect
63. C₄×C₈×C₄₇	C₂×C₄	semidirect
82. D₈×C₄₇	C₄²	semidirect
99. C₄×Dic₄₇	D₈	direct (N × H)
113. D₄×C₄₇	C₂×C₄²	semidirect
138. C₈×C₄₇	C₂×C₄²	semidirect
153. C₄×C₄₇	C₄×D₈	semidirect
159. Dic₄₇	C₄×D₈	direct (N × H)
179. C₄×D₈	Dic₄₇	direct (N × H)
195. C₄₇	C₄²×D₈	semidirect
207. C₄×D₄	C₂×Dic₄₇	semidirect
221. #107	C₂×Dic₄₇	semidirect
223. #102	C₂×Dic₄₇	semidirect
227. C₄×C₈	C₂×Dic₄₇	semidirect
248. D₈	C₄×Dic₄₇	direct (N × H)
279. D₄	C₂×C₄×Dic₄₇	semidirect
305. C₈	C₂×C₄×Dic₄₇	semidirect
321. C₄	D₈×Dic₄₇	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×D₈×Dic₄₇	2
C₄×D₄×Dic₄₇	2
#107×Dic₄₇	2
C₄×#13093958	2
#102×Dic₄₇	2
C₄×#13093945	2
C₄×C₈×Dic₄₇	2
C₂×C₄×D₈×C₄₇	2
C₄²×D₈	47

Subgroups — C4×D8×Dic47 #26214743

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×D₈×Dic₄₇ #26214743