Subgroups — C₄×#15689252 #26214901

Order 12032.

958 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689252	C₂	1	2	yes	maximal
2	C₄²×Dic₉₄	C₂	1	1	yes	maximal, characteristic
3	#20243265	C₂	1	2	yes	maximal
4	#20243261	C₂	1	2	yes	maximal
5	#20243254	C₂	1	2	yes	maximal
6	C₄×Dic₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic
7	C₄×Dic₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic
8	C₄×#13093935	C₂	1	1	yes	maximal, characteristic
9	C₄×#13093934	C₂	1	1	yes	maximal, characteristic
10	C₄×C₈×Dic₄₇	C₂	1	1	yes	maximal, characteristic
11	C₄×C₄⋊C₈×C₄₇	C₂	1	1	yes	maximal, characteristic
12	C₂×C₄×Dic₉₄	C₄	1	2	yes	—
13	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
14	#15689252	C₄	1	16	yes	direct product factor
15	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	—
16	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	—
17	C₂×#13093935	C₂²	1	2	yes	—
18	C₂×#13093935	C₂²	1	2	yes	—
19	C₂×#13093934	C₂²	1	2	yes	—
20	C₂×#13093934	C₂²	1	2	yes	—
21	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
23	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
24	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
25	C₄×Dic₄₇⋊C₄	C₄	1	2	yes	—
26	C₄×Dic₄₇⋊C₄	C₄	1	2	yes	—
27	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
28	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
29	C₄×C₄⋊Dic₄₇	C₄	1	2	yes	—
30	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
31	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
32	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
33	#15688877	C₂²	1	2	yes	—
34	#15688877	C₂²	1	2	yes	—
35	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
36	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
38	C₄³×C₄₇	C₂²	1	1	yes	characteristic
39	C₄₇×#336	C₂²	1	2	yes	—
40	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
42	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
43	C₄×Dic₉₄	—	2	8	no	—
44	C₄×Dic₉₄	C₂×C₄	1	8	yes	—
45	C₂×C₄⋊Dic₄₇	C₂×C₄	1	2	yes	—
46	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
47	C₂×Dic₄₇⋊C₄	C₂×C₄	1	2	yes	—
48	C₂×Dic₄₇⋊C₄	C₂×C₄	1	2	yes	—
49	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
50	C₂×Dic₄₇⋊C₄	C₂×C₄	1	1	yes	characteristic
51	C₂×C₄×Dic₄₇	C₂×C₄	1	2	yes	—
52	C₂×C₄×Dic₄₇	C₂×C₄	1	2	yes	—
53	C₂×C₄×Dic₄₇	C₂×C₄	1	2	yes	—
54	C₂×C₄×Dic₄₇	C₂×C₄	1	2	yes	—
55	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
56	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
57	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
58	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
59	Dic₄₇⋊C₈	C₂×C₄	1	8	yes	—
60	Dic₄₇⋊C₈	C₂×C₄	1	8	yes	—
61	#13093935	—	2	4	no	—
62	#13093935	C₂×C₄	1	8	yes	—
63	#13093934	—	2	4	no	—
64	#13093934	C₂×C₄	1	8	yes	—
65	C₄×C₄₇⋊C₈	—	2	2	no	—
66	C₄×C₄₇⋊C₈	Q₈	1	4	yes	complemented
67	C₈×Dic₄₇	—	2	4	no	—
68	C₈×Dic₄₇	C₂×C₄	1	8	yes	—
69	C₄₇⋊#95	C₂×C₄	1	2	yes	—
70	C₄₇⋊#95	C₂×C₄	1	2	yes	—
71	C₄₇⋊#95	C₂×C₄	1	2	yes	—
72	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
73	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
74	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
75	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
76	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
77	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
78	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
79	C₄⋊C₈×C₄₇	C₂×C₄	1	8	yes	—
80	C₄×C₈×C₄₇	—	2	2	no	—
81	C₄×C₈×C₄₇	—	2	2	no	—
82	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
87	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
88	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
89	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
90	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
91	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
92	C₂²×Dic₄₇	C₂²×C₄	1	1	yes	characteristic
93	C₂×Dic₉₄	—	2	4	no	—
94	C₂×Dic₉₄	C₄²	1	4	yes	—
95	C₂×C₈×C₄₇	—	2	2	no	—
96	C₂×C₈×C₄₇	—	2	2	no	—
97	C₂×C₈×C₄₇	—	2	2	no	—
98	C₂×C₈×C₄₇	—	2	2	no	—
99	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	—
100	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	—
101	C₄²×C₄₇	—	2	4	no	—
102	C₄²×C₄₇	—	2	4	no	—
103	C₄²×C₄₇	—	2	2	no	—
104	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
105	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
106	C₄²×C₄₇	#41	1	2	yes	—
107	C₄⋊Dic₄₇	—	2	4	no	—
108	C₄⋊Dic₄₇	C₄²	1	4	yes	—
109	Dic₄₇⋊C₄	—	2	4	no	—
110	Dic₄₇⋊C₄	—	2	4	no	—
111	Dic₄₇⋊C₄	C₄²	1	4	yes	—
112	Dic₄₇⋊C₄	C₄²	1	4	yes	—
113	C₄×Dic₄₇	—	2	4	no	—
114	C₄×Dic₄₇	—	2	4	no	—
115	C₄×Dic₄₇	—	2	4	no	—
116	C₄×Dic₄₇	—	2	2	no	—
117	C₄×Dic₄₇	—	2	2	no	—
118	C₄×Dic₄₇	M₁₆	1	8	yes	—
119	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
120	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
121	C₂×C₄₇⋊C₈	—	2	2	no	—
122	C₂×C₄₇⋊C₈	—	2	2	no	—
123	C₂×C₄₇⋊C₈	C₂²×C₄	1	4	yes	—
124	C₂×C₄₇⋊C₈	C₂²×C₄	1	4	yes	—
125	C₂×C₄₇⋊C₈	C₂×Q₈	1	4	yes	—
126	C₂×C₄₇⋊C₈	#41	1	4	yes	—
127	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
128	C₂×C₄×C₄₇	—	2	2	no	—
129	C₂×C₄×C₄₇	—	2	2	no	—
130	C₂×C₄×C₄₇	—	2	2	no	—
131	C₂×C₄×C₄₇	—	2	2	no	—
132	C₂×C₄×C₄₇	—	2	2	no	—
133	C₂×C₄×C₄₇	C₂×C₄²	1	2	yes	—
134	C₂×C₄×C₄₇	C₂×C₄²	1	2	yes	—
135	C₂×C₄×C₄₇	C₄×Q₈	1	4	yes	—
136	C₂×C₄×C₄₇	C₂×M₁₆	1	4	yes	—
137	C₂×C₄×C₄₇	#131	1	4	yes	—
138	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
139	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
140	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
141	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
142	C₂×Dic₄₇	—	2	2	no	—
143	C₂×Dic₄₇	—	2	2	no	—
144	C₂×Dic₄₇	—	2	2	no	—
145	C₂×Dic₄₇	—	2	2	no	—
146	C₂×Dic₄₇	—	2	2	no	—
147	C₂×Dic₄₇	—	2	2	no	—
148	C₂×Dic₄₇	—	2	2	no	—
149	C₂×Dic₄₇	—	2	2	no	—
150	C₂×Dic₄₇	C₂×C₄²	1	2	yes	—
151	C₂×Dic₄₇	C₂×C₄²	1	2	yes	—
152	C₂×Dic₄₇	C₂×C₄²	1	2	yes	—
153	C₂×Dic₄₇	C₂×C₄²	1	2	yes	—
154	C₂×Dic₄₇	C₂×M₁₆	1	4	yes	—
155	C₂×Dic₄₇	C₂×M₁₆	1	4	yes	—
156	Dic₉₄	—	2	8	no	—
157	C₈×C₄₇	—	2	4	no	—
158	C₈×C₄₇	—	2	4	no	—
159	C₄₇⋊C₈	—	2	4	no	—
160	C₄₇⋊C₈	C₄×Q₈	1	8	yes	complemented
161	C₄×#446	—	47	1	no	maximal, Sylow
162	C₂²×C₄₇	C₂²×C₄²	1	1	yes	characteristic
163	C₂²×C₄₇	C₂×C₄×Q₈	1	1	yes	characteristic
164	C₂²×C₄₇	C₄×#41	1	1	yes	characteristic
165	C₂²×C₄₇	C₂²×M₁₆	1	2	yes	—
166	C₂²×C₄₇	C₂×#131	1	2	yes	—
167	C₄×C₄₇	—	2	2	no	—
168	C₄×C₄₇	—	2	2	no	—
169	C₄×C₄₇	—	4	2	no	—
170	C₄×C₄₇	#446	1	8	yes	complemented
171	C₄×C₄₇	C₂×C₄×Q₈	1	2	yes	—
172	C₄×C₄₇	C₄×#41	1	2	yes	—
173	Dic₄₇	—	2	2	no	—
174	Dic₄₇	—	2	2	no	—
175	Dic₄₇	—	2	2	no	—
176	Dic₄₇	—	2	4	no	—
177	Dic₄₇	—	4	2	no	—
178	Dic₄₇	C₄×M₁₆	1	4	yes	—
179	C₂×#446	—	47	2	no	—
180	C₄²×Q₈	—	47	1	no	—
181	#1771	—	47	2	no	—
182	#1771	—	47	2	no	—
183	#1770	—	47	2	no	—
184	C₄×C₄⋊C₈	—	47	1	no	—
185	C₄×C₄⋊C₈	—	47	1	no	—
186	C₄×C₄⋊C₈	D₄₇	1	1	yes	characteristic
187	C₄×#97	—	47	1	no	—
188	C₄×#97	—	47	1	no	—
189	C₄²×C₈	—	47	1	no	—
190	C₂×C₄₇	C₄²×Q₈	1	1	yes	characteristic
191	C₂×C₄₇	C₂×C₄×M₁₆	1	1	yes	characteristic
192	C₂×C₄₇	C₄×#131	1	1	yes	characteristic
193	C₂×C₄₇	C₂×#446	1	2	yes	—
194	C₂×C₄₇	#2965	1	2	yes	—
195	C₂×C₄×Q₈	—	47	2	no	—
196	C₂×C₄×Q₈	—	47	1	no	—
197	#446	—	47	16	no	—
198	C₂×C₄⋊C₈	—	47	2	no	—
199	C₂×C₄⋊C₈	—	47	2	no	—
200	C₂×C₄⋊C₈	C₂×D₄₇	1	2	yes	—
201	C₂×#97	—	47	2	no	—
202	C₂×#97	—	47	2	no	—
203	C₂×#97	—	47	2	no	—
204	C₂×#97	—	47	2	no	—
205	C₂×C₄×C₈	—	47	2	no	—
206	C₂×C₄×C₈	—	47	1	no	—
207	C₂×C₄×C₈	—	47	2	no	—
208	C₂×C₄×C₈	—	47	1	no	—
209	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
210	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
211	C₄×C₄⋊C₄	—	47	2	no	—
212	C₄×C₄⋊C₄	—	47	2	no	—
213	C₄×C₄⋊C₄	—	47	2	no	—
214	C₄×C₄⋊C₄	—	47	1	no	—
215	C₄×C₄⋊C₄	—	47	1	no	—
216	C₄×C₄⋊C₄	—	47	1	no	—
217	C₄³	—	47	1	no	—
218	C₄³	—	47	1	no	—
219	C₄³	C₂×D₄₇	1	1	yes	characteristic
220	#336	—	47	2	no	—
221	#336	—	47	2	no	—
222	#336	C₂×D₄₇	1	2	yes	—
223	C₄₇	C₄×#446	1	1	yes	characteristic, complemented, Sylow
224	C₂²×Q₈	—	47	1	no	—
225	C₂²×C₈	—	47	2	no	—
226	C₂²×C₈	—	47	2	no	—
227	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
228	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
229	C₄×Q₈	—	47	8	no	—
230	C₄×Q₈	—	94	8	no	—
231	C₂×C₄⋊C₄	—	47	1	no	—
232	C₂×C₄⋊C₄	—	47	1	no	—
233	C₂×C₄⋊C₄	—	47	1	no	—
234	C₂×C₄⋊C₄	—	47	2	no	—
235	C₂×C₄⋊C₄	—	47	2	no	—
236	C₂×C₄⋊C₄	—	47	2	no	—
237	C₂×C₄²	—	47	2	no	—
238	C₂×C₄²	—	47	1	no	—
239	C₂×C₄²	—	47	1	no	—
240	C₂×C₄²	—	47	2	no	—
241	C₂×C₄²	—	47	2	no	—
242	C₂×C₄²	—	47	2	no	—
243	C₂×C₄²	—	47	1	no	—
244	C₂×C₄²	—	47	1	no	—
245	C₂×C₄²	C₄×D₄₇	1	2	yes	—
246	C₂×C₄²	C₄×D₄₇	1	2	yes	—
247	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
248	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
249	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
250	C₄⋊C₈	—	47	8	no	—
251	C₄⋊C₈	—	47	8	no	—
252	C₄⋊C₈	C₄×D₄₇	1	8	yes	—
253	#97	—	47	8	no	—
254	#97	—	47	8	no	—
255	#97	—	94	4	no	—
256	#97	—	94	4	no	—
257	C₄×C₈	—	2	2	no	—
258	C₄×C₈	—	2	2	no	—
259	C₄×C₈	—	47	8	no	—
260	C₄×C₈	—	47	4	no	—
261	C₄×C₈	—	94	4	no	—
262	C₄×C₈	—	94	2	no	—
263	#95	—	47	2	no	—
264	#95	—	47	2	no	—
265	#95	—	47	2	no	—
266	C₂×Q₈	—	47	4	no	—
267	C₂×Q₈	—	94	4	no	—
268	C₂²×C₄	—	47	1	no	—
269	C₂²×C₄	—	47	1	no	—
270	C₂²×C₄	—	47	1	no	—
271	C₂²×C₄	—	47	2	no	—
272	C₂²×C₄	—	47	1	no	—
273	C₂²×C₄	—	47	2	no	—
274	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
275	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
276	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
277	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
278	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	47	4	no	—
284	C₂×C₈	—	47	4	no	—
285	C₂×C₈	—	47	4	no	—
286	C₂×C₈	—	47	4	no	—
287	C₂×C₈	—	94	2	no	—
288	C₂×C₈	—	94	2	no	—
289	C₂×C₈	C₂×C₄×D₄₇	1	4	yes	—
290	C₂×C₈	C₂×C₄×D₄₇	1	4	yes	—
291	C₄⋊C₄	—	47	4	no	—
292	C₄⋊C₄	—	47	4	no	—
293	C₄⋊C₄	—	47	4	no	—
294	C₄⋊C₄	—	94	4	no	—
295	C₄⋊C₄	—	94	4	no	—
296	C₄⋊C₄	—	94	4	no	—
297	C₄²	—	2	4	no	—
298	C₄²	—	2	4	no	—
299	C₄²	—	2	2	no	—
300	C₄²	—	47	8	no	—
301	C₄²	—	47	4	no	—
302	C₄²	—	47	4	no	—
303	C₄²	—	94	4	no	—
304	C₄²	—	94	4	no	—
305	C₄²	—	94	4	no	—
306	C₄²	—	94	2	no	—
307	C₄²	—	94	2	no	—
308	C₄²	C₂×C₄×D₄₇	1	4	yes	—
309	C₄²	#10625352	1	2	yes	—
310	C₄²	Q₈×D₄₇	1	2	yes	—
311	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
312	Q₈	—	94	8	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	47	2	no	—
319	C₂×C₄	—	47	4	no	—
320	C₂×C₄	—	47	2	no	—
321	C₂×C₄	—	47	2	no	—
322	C₂×C₄	—	47	2	no	—
323	C₂×C₄	—	47	4	no	—
324	C₂×C₄	—	94	2	no	—
325	C₂×C₄	—	94	2	no	—
326	C₂×C₄	—	94	2	no	—
327	C₂×C₄	—	94	2	no	—
328	C₂×C₄	—	94	2	no	—
329	C₂×C₄	—	94	2	no	—
330	C₂×C₄	—	94	2	no	—
331	C₂×C₄	—	94	2	no	—
332	C₂×C₄	C₄²×D₄₇	1	2	yes	—
333	C₂×C₄	C₄²×D₄₇	1	2	yes	—
334	C₂×C₄	#13093989	1	4	yes	—
335	C₂×C₄	M₁₆×D₄₇	1	4	yes	—
336	C₂×C₄	#13094030	1	4	yes	—
337	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
338	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
339	C₂×C₄	#41×D₄₇	1	2	yes	—
340	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
341	C₈	—	2	4	no	—
342	C₈	—	2	4	no	—
343	C₈	—	47	8	no	—
344	C₈	—	94	4	no	—
345	C₂²	C₂×C₄²×D₄₇	1	1	yes	characteristic
346	C₂²	C₂×#13093989	1	1	yes	characteristic
347	C₂²	#15689591	1	1	yes	characteristic
348	C₂²	C₂×M₁₆×D₄₇	1	2	yes	—
349	C₂²	C₂×#13094030	1	2	yes	—
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	4	2	no	—
353	C₄	—	47	4	no	—
354	C₄	—	94	2	no	—
355	C₄	—	94	2	no	—
356	C₄	—	94	2	no	—
357	C₄	—	94	4	no	—
358	C₄	—	188	2	no	—
359	C₄	#15689252	1	8	yes	direct product factor
360	C₄	C₄×Q₈×D₄₇	1	2	yes	—
361	C₄	C₄×#10625352	1	2	yes	—
362	C₂	C₄×#13093989	1	1	yes	characteristic
363	C₂	C₄×M₁₆×D₄₇	1	1	yes	characteristic
364	C₂	C₄×#13094030	1	1	yes	characteristic
365	C₂	C₂×#15689252	1	2	yes	—
366	C₂	#20252352	1	2	yes	—

	subgroup	G/H
center	C₂×C₄²	C₂²×D₄₇
commutator	C₂²×C₄₇	C₂²×C₄²
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄×C₄⋊C₈×C₄₇	C₂
socle, prime radical	C₂³×C₄₇	C₂³×C₄
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₄×C₄⋊C₈	D₄₇
hypocenter	C₄₇	C₄×#446
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄² ◁ C₄×C₄⋊C₈

Complements

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

N	H ≅ G/N	type
14. #15689252	C₄	direct (N × H)
66. C₄×C₄₇⋊C₈	Q₈	semidirect
160. C₄₇⋊C₈	C₄×Q₈	semidirect
170. C₄×C₄₇	#446	semidirect
223. C₄₇	C₄×#446	semidirect
359. C₄	#15689252	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×#15689252	2
C₄²×Dic₉₄	2
#20243265	2
#20243261	2
#20243254	2
C₄×Dic₄₇⋊C₈	2
C₄×#13093935	2
C₄×#13093934	2
C₄×C₈×Dic₄₇	2
C₄×C₄⋊C₈×C₄₇	2
C₄×#446	47

Subgroups — C4×#15689252 #26214901

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#15689252 #26214901