Subgroups — C₂×C₄⋊C₈×Dic₁₃ #15860792

Order 3328.

1550 conjugacy classes of subgroups.

The subgroup lattice has 316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄⋊#1055	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₈×Dic₁₃	C₂	1	2	yes	maximal
3	C₂×C₄²×Dic₁₃	C₂	1	1	yes	maximal, characteristic
4	C₄⋊C₈×Dic₁₃	C₂	1	8	yes	maximal, direct product factor
5	C₂×#11718142	C₂	1	2	yes	maximal
6	C₂²×C₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
7	C₂³×C₈×C₁₃	C₂²	1	2	yes	—
8	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
9	C₂²×C₄×Dic₁₃	C₄	1	2	yes	—
10	C₂²×C₄×Dic₁₃	C₄	1	2	yes	—
11	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
12	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
13	C₂³×#1055	C₂²	1	2	yes	—
14	C₂×C₁₃×C₄⋊C₈	C₄	1	8	yes	complemented
15	C₂×C₁₃×C₄⋊C₈	C₂²	1	4	yes	—
16	C₂×C₈×Dic₁₃	—	2	8	no	—
17	C₂×C₈×Dic₁₃	C₂²	1	8	yes	—
18	C₄²×Dic₁₃	C₄	1	4	yes	—
19	C₄²×Dic₁₃	C₂²	1	4	yes	—
20	C₂×C₄⋊#1055	C₄	1	8	yes	complemented
21	C₂×C₄⋊#1055	C₂²	1	4	yes	—
22	#11718142	C₂²	1	8	yes	—
23	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
24	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
25	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
26	C₂³×Dic₁₃	C₂×C₄	1	2	yes	—
27	C₂³×Dic₁₃	C₂×C₄	1	2	yes	—
28	C₂²×C₈×C₁₃	—	2	4	no	—
29	C₂²×C₈×C₁₃	—	2	4	no	—
30	C₂²×C₈×C₁₃	C₂×C₄	1	8	yes	—
31	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
32	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
33	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
34	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
35	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
36	C₂×C₄×Dic₁₃	—	2	2	no	—
37	C₂×C₄×Dic₁₃	—	2	2	no	—
38	C₂×C₄×Dic₁₃	—	2	8	no	—
39	C₂×C₄×Dic₁₃	C₈	1	16	yes	complemented
40	C₂×C₄×Dic₁₃	C₂×C₄	1	8	yes	—
41	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
42	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
43	C₂×C₄×Dic₁₃	C₂×C₄	1	8	yes	—
44	C₂×C₄×Dic₁₃	D₄	1	4	yes	—
45	C₂×C₄×Dic₁₃	Q₈	1	4	yes	—
46	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
47	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
48	C₂²×#1055	—	2	4	no	—
49	C₂²×#1055	—	2	4	no	—
50	C₂²×#1055	C₂×C₄	1	8	yes	—
51	C₂²×#1055	C₂³	1	4	yes	—
52	C₁₃×C₄⋊C₈	C₂×C₄	1	16	yes	complemented
53	C₈×Dic₁₃	—	2	16	no	—
54	C₄⋊#1055	C₂×C₄	1	16	yes	complemented
55	C₂×C₄×C₄⋊C₈	—	13	1	no	maximal, Sylow
56	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
57	C₂²×C₄×C₁₃	—	2	4	no	—
58	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
59	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
60	C₂²×C₄×C₁₃	C₂×C₈	1	8	yes	—
61	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
62	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
64	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
65	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
66	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
67	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
68	C₂²×C₄×C₁₃	#41	1	2	yes	—
69	C₂²×C₄×C₁₃	#41	1	2	yes	—
70	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
71	C₂²×Dic₁₃	—	2	4	no	—
72	C₂²×Dic₁₃	—	2	4	no	—
73	C₂²×Dic₁₃	C₄⋊C₄	1	8	yes	—
74	C₂²×Dic₁₃	C₂×C₈	1	8	yes	—
75	C₂²×Dic₁₃	C₂×C₈	1	8	yes	—
76	C₂²×Dic₁₃	M₁₆	1	8	yes	—
77	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
78	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
79	C₂×C₈×C₁₃	—	2	16	no	—
80	C₂×C₈×C₁₃	—	2	4	no	—
81	C₂×C₈×C₁₃	—	2	4	no	—
82	C₂×C₈×C₁₃	C₂²×C₄	1	8	yes	—
83	C₄²×C₁₃	C₄²	1	8	yes	—
84	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
85	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
86	C₄×Dic₁₃	—	2	4	no	—
87	C₄×Dic₁₃	—	2	2	no	—
88	C₄×Dic₁₃	—	2	2	no	—
89	C₄×Dic₁₃	—	2	16	no	—
90	C₄×Dic₁₃	C₄⋊C₄	1	8	yes	—
91	C₄×Dic₁₃	C₂×C₈	1	32	yes	complemented
92	C₄×Dic₁₃	C₂×D₄	1	4	yes	—
93	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
94	C₂×#1055	—	2	16	no	—
95	C₂×#1055	—	2	4	no	—
96	C₂×#1055	—	2	4	no	—
97	C₂×#1055	C₂²×C₄	1	8	yes	—
98	C₂²×C₄⋊C₈	—	13	1	no	—
99	C₂²×C₄⋊C₈	D₁₃	1	1	yes	characteristic
100	C₂²×C₄×C₈	—	13	2	no	—
101	C₂×C₄³	—	13	1	no	—
102	C₄×C₄⋊C₈	—	13	8	no	—
103	C₂×#336	—	13	2	no	—
104	C₂³×C₁₃	C₂×C₄²	1	2	yes	—
105	C₂³×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
106	C₂³×C₁₃	#117	1	2	yes	—
107	C₂³×C₁₃	C₂²×C₈	1	4	yes	—
108	C₂³×C₁₃	C₂×M₁₆	1	4	yes	—
109	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
110	C₂×C₄×C₁₃	—	2	4	no	—
111	C₂×C₄×C₁₃	—	2	8	no	—
112	C₂×C₄×C₁₃	C₄×C₈	1	16	yes	complemented
113	C₂×C₄×C₁₃	C₂×C₄²	1	4	yes	—
114	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
115	C₂×C₄×C₁₃	C₂×C₄²	1	4	yes	—
116	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
117	C₂×C₄×C₁₃	#117	1	2	yes	—
118	C₂×C₄×C₁₃	C₄×D₄	1	4	yes	—
119	C₂×C₄×C₁₃	C₄×D₄	1	4	yes	—
120	C₂×C₄×C₁₃	C₄×Q₈	1	4	yes	—
121	C₂×C₄×C₁₃	C₄×Q₈	1	4	yes	—
122	C₂×C₄×C₁₃	C₂²×C₈	1	8	yes	—
123	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
124	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
125	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
126	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
127	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
128	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
129	C₂×Dic₁₃	—	2	4	no	—
130	C₂×Dic₁₃	—	2	4	no	—
131	C₂×Dic₁₃	—	2	16	no	—
132	C₂×Dic₁₃	C₄⋊C₈	1	32	yes	direct product factor
133	C₂×Dic₁₃	C₂×C₄⋊C₄	1	8	yes	—
134	C₂×Dic₁₃	C₂²×C₈	1	8	yes	—
135	C₂×Dic₁₃	C₂²×C₈	1	8	yes	—
136	C₂×Dic₁₃	C₂×M₁₆	1	8	yes	—
137	C₈×C₁₃	—	2	8	no	—
138	#1055	—	2	8	no	—
139	C₂³×C₈	—	13	2	no	—
140	C₂³×C₈	C₂×D₁₃	1	2	yes	—
141	C₂²×C₄²	—	13	2	no	—
142	C₂²×C₄²	—	13	1	no	—
143	C₂²×C₄²	—	13	2	no	—
144	C₂²×C₄²	—	13	1	no	—
145	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
146	C₂×C₄⋊C₈	—	13	8	no	—
147	C₂×C₄⋊C₈	—	13	4	no	—
148	C₂×C₄⋊C₈	Dic₁₃	1	8	yes	direct product factor
149	C₂×C₄⋊C₈	C₂×D₁₃	1	4	yes	—
150	C₂×C₄×C₈	—	13	8	no	—
151	C₂×C₄×C₈	—	26	8	no	—
152	C₄³	—	13	4	no	—
153	C₄³	—	13	4	no	—
154	#336	—	13	8	no	—
155	C₂²×C₁₃	C₄×C₄⋊C₄	1	4	yes	—
156	C₂²×C₁₃	C₂×C₄×C₈	1	4	yes	—
157	C₂²×C₁₃	C₄×M₁₆	1	4	yes	—
158	C₂²×C₁₃	C₂×C₄⋊C₈	1	8	yes	—
159	C₂²×C₁₃	#431	1	8	yes	—
160	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
161	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
162	C₂²×C₁₃	C₂×#117	1	1	yes	characteristic
163	C₂²×C₁₃	C₂³×C₈	1	2	yes	—
164	C₂²×C₁₃	C₂²×M₁₆	1	2	yes	—
165	C₄×C₁₃	—	2	4	no	—
166	C₄×C₁₃	C₄×C₄⋊C₄	1	4	yes	—
167	C₄×C₁₃	C₂×C₄×C₈	1	8	yes	complemented
168	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
169	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
170	C₄×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
171	C₄×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
172	Dic₁₃	—	2	8	no	—
173	Dic₁₃	C₂×C₄⋊C₈	1	16	yes	direct product factor
174	C₂³×C₄	—	13	2	no	—
175	C₂³×C₄	—	13	2	no	—
176	C₂³×C₄	C₄×D₁₃	1	1	yes	characteristic
177	C₂³×C₄	C₄×D₁₃	1	1	yes	characteristic
178	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
179	C₂²×C₈	—	2	4	no	—
180	C₂²×C₈	—	2	4	no	—
181	C₂²×C₈	—	13	8	no	—
182	C₂²×C₈	—	13	4	no	—
183	C₂²×C₈	—	26	4	no	—
184	C₂²×C₈	—	26	4	no	—
185	C₂²×C₈	C₂×Dic₁₃	1	8	yes	—
186	C₂²×C₈	C₂²×D₁₃	1	4	yes	—
187	C₂×C₄²	—	13	16	no	—
188	C₂×C₄²	—	13	2	no	—
189	C₂×C₄²	—	13	8	no	—
190	C₂×C₄²	—	13	4	no	—
191	C₂×C₄²	—	13	4	no	—
192	C₂×C₄²	—	13	2	no	—
193	C₂×C₄²	—	13	8	no	—
194	C₂×C₄²	—	13	2	no	—
195	C₂×C₄²	—	13	2	no	—
196	C₂×C₄²	—	26	8	no	—
197	C₂×C₄²	—	26	2	no	—
198	C₂×C₄²	—	26	2	no	—
199	C₂×C₄²	C₄×D₁₃	1	2	yes	—
200	C₂×C₄²	C₄×D₁₃	1	4	yes	—
201	C₂×C₄²	C₂×Dic₁₃	1	4	yes	—
202	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
203	C₄⋊C₈	—	13	16	no	—
204	C₄⋊C₈	C₂×Dic₁₃	1	16	yes	direct product factor
205	C₄×C₈	—	26	16	no	—
206	C₂×C₁₃	C₄×C₄⋊C₈	1	8	yes	complemented
207	C₂×C₁₃	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
208	C₂×C₁₃	C₂²×C₄×C₈	1	1	yes	characteristic
209	C₂×C₁₃	C₂×C₄×M₁₆	1	1	yes	characteristic
210	C₂×C₁₃	C₂²×C₄⋊C₈	1	2	yes	—
211	C₂×C₁₃	C₂×#431	1	2	yes	—
212	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
213	C₂²×C₄	—	2	4	no	—
214	C₂²×C₄	—	13	8	no	—
215	C₂²×C₄	—	13	8	no	—
216	C₂²×C₄	—	13	8	no	—
217	C₂²×C₄	—	13	4	no	—
218	C₂²×C₄	—	13	8	no	—
219	C₂²×C₄	—	13	4	no	—
220	C₂²×C₄	—	26	4	no	—
221	C₂²×C₄	—	26	4	no	—
222	C₂²×C₄	C₈×D₁₃	1	8	yes	—
223	C₂²×C₄	C₄×Dic₁₃	1	4	yes	—
224	C₂²×C₄	C₄×Dic₁₃	1	4	yes	—
225	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
226	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
227	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
228	C₂²×C₄	C₂×C₄×D₁₃	1	2	yes	—
229	C₂²×C₄	D₄×D₁₃	1	2	yes	—
230	C₂²×C₄	#6129	1	2	yes	—
231	C₂²×C₄	Q₈×D₁₃	1	2	yes	—
232	C₂²×C₄	#6131	1	2	yes	—
233	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
234	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
235	C₂×C₈	—	2	16	no	—
236	C₂×C₈	—	2	4	no	—
237	C₂×C₈	—	2	4	no	—
238	C₂×C₈	—	13	8	no	—
239	C₂×C₈	—	26	16	no	—
240	C₂×C₈	—	26	4	no	—
241	C₂×C₈	—	26	4	no	—
242	C₂×C₈	C₂²×Dic₁₃	1	8	yes	—
243	C₄²	—	13	8	no	—
244	C₄²	—	13	32	no	—
245	C₄²	—	13	4	no	—
246	C₄²	—	13	4	no	—
247	C₄²	—	26	16	no	—
248	C₄²	—	26	4	no	—
249	C₄²	—	26	2	no	—
250	C₄²	—	26	2	no	—
251	C₄²	C₄×Dic₁₃	1	8	yes	—
252	C₄²	C₂×C₄×D₁₃	1	4	yes	—
253	C₄²	C₂²×Dic₁₃	1	4	yes	—
254	C₁₃	C₂×C₄×C₄⋊C₈	1	1	yes	characteristic, complemented, Sylow
255	C₂³	C₄⋊C₄×D₁₃	1	2	yes	—
256	C₂³	#88146	1	2	yes	—
257	C₂³	C₂×C₈×D₁₃	1	4	yes	—
258	C₂³	M₁₆×D₁₃	1	4	yes	—
259	C₂³	C₂×C₄×Dic₁₃	1	2	yes	—
260	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
261	C₂×C₄	—	2	4	no	—
262	C₂×C₄	—	2	8	no	—
263	C₂×C₄	—	13	8	no	—
264	C₂×C₄	—	13	8	no	—
265	C₂×C₄	—	13	8	no	—
266	C₂×C₄	—	13	32	no	—
267	C₂×C₄	—	13	8	no	—
268	C₂×C₄	—	26	4	no	—
269	C₂×C₄	—	26	4	no	—
270	C₂×C₄	—	26	16	no	—
271	C₂×C₄	C₈×Dic₁₃	1	16	yes	complemented
272	C₂×C₄	#88141	1	4	yes	—
273	C₂×C₄	C₄⋊C₄×D₁₃	1	2	yes	—
274	C₂×C₄	#88146	1	2	yes	—
275	C₂×C₄	#88147	1	4	yes	—
276	C₂×C₄	C₂×C₈×D₁₃	1	8	yes	—
277	C₂×C₄	C₂×C₄×Dic₁₃	1	4	yes	—
278	C₂×C₄	C₂×C₄×Dic₁₃	1	4	yes	—
279	C₂×C₄	C₂×C₄×Dic₁₃	1	2	yes	—
280	C₂×C₄	D₄×Dic₁₃	1	4	yes	—
281	C₂×C₄	Q₈×Dic₁₃	1	4	yes	—
282	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
283	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
284	C₂×C₄	C₂×#6129	1	1	yes	characteristic
285	C₂×C₄	C₂×Q₈×D₁₃	1	1	yes	characteristic
286	C₂×C₄	C₂×#6131	1	1	yes	characteristic
287	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
288	C₈	—	2	8	no	—
289	C₈	—	26	8	no	—
290	C₂²	D₁₃×C₄⋊C₈	1	8	yes	—
291	C₂²	#11718494	1	8	yes	—
292	C₂²	C₄⋊C₄×Dic₁₃	1	4	yes	—
293	C₂²	C₂×C₈×Dic₁₃	1	4	yes	—
294	C₂²	M₁₆×Dic₁₃	1	4	yes	—
295	C₂²	C₂×C₄⋊C₄×D₁₃	1	1	yes	characteristic
296	C₂²	C₂×#88146	1	1	yes	characteristic
297	C₂²	C₂²×C₈×D₁₃	1	2	yes	—
298	C₂²	C₂×M₁₆×D₁₃	1	2	yes	—
299	C₂²	C₂²×C₄×Dic₁₃	1	1	yes	characteristic
300	C₄	—	2	4	no	—
301	C₄	—	13	16	no	—
302	C₄	—	26	8	no	—
303	C₄	C₄⋊C₄×Dic₁₃	1	4	yes	—
304	C₄	C₂×C₈×Dic₁₃	1	8	yes	complemented
305	C₄	C₂×#88141	1	1	yes	characteristic
306	C₄	C₂×#88147	1	1	yes	characteristic
307	C₄	C₂×D₄×Dic₁₃	1	1	yes	characteristic
308	C₄	C₂×Q₈×Dic₁₃	1	1	yes	characteristic
309	C₂	C₄⋊C₈×Dic₁₃	1	8	yes	direct product factor
310	C₂	C₂×C₄⋊C₄×Dic₁₃	1	1	yes	characteristic
311	C₂	C₂²×C₈×Dic₁₃	1	1	yes	characteristic
312	C₂	C₂×M₁₆×Dic₁₃	1	1	yes	characteristic
313	C₂	C₂×D₁₃×C₄⋊C₈	1	2	yes	—
314	C₂	C₂×#11718494	1	2	yes	—

	subgroup	G/H
center	C₂³×C₄	C₂²×D₁₃
commutator	C₂×C₁₃	C₂²×C₄×C₈
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₂²×C₁₃×C₄⋊C₈	C₂
socle, prime radical	C₂⁴×C₁₃	C₂²×C₄
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	C₂²×C₄⋊C₈	D₁₃
hypocenter	C₁₃	C₂×C₄×C₄⋊C₈
LCS	G ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³×C₄ ◁ C₂²×C₄⋊C₈

Complements

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

N	H ≅ G/N	type
4. C₄⋊C₈×Dic₁₃	C₂	direct (N × H)
14. C₂×C₁₃×C₄⋊C₈	C₄	semidirect
20. C₂×C₄⋊#1055	C₄	semidirect
39. C₂×C₄×Dic₁₃	C₈	semidirect
52. C₁₃×C₄⋊C₈	C₂×C₄	semidirect
54. C₄⋊#1055	C₂×C₄	semidirect
91. C₄×Dic₁₃	C₂×C₈	semidirect
112. C₂×C₄×C₁₃	C₄×C₈	semidirect
132. C₂×Dic₁₃	C₄⋊C₈	direct (N × H)
148. C₂×C₄⋊C₈	Dic₁₃	direct (N × H)
167. C₄×C₁₃	C₂×C₄×C₈	semidirect
173. Dic₁₃	C₂×C₄⋊C₈	direct (N × H)
204. C₄⋊C₈	C₂×Dic₁₃	direct (N × H)
206. C₂×C₁₃	C₄×C₄⋊C₈	semidirect
254. C₁₃	C₂×C₄×C₄⋊C₈	semidirect
271. C₂×C₄	C₈×Dic₁₃	semidirect
304. C₄	C₂×C₈×Dic₁₃	semidirect
309. C₂	C₄⋊C₈×Dic₁₃	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₄⋊#1055	2
C₂²×C₈×Dic₁₃	2
C₂×C₄²×Dic₁₃	2
C₄⋊C₈×Dic₁₃	2
C₂×#11718142	2
C₂²×C₁₃×C₄⋊C₈	2
C₂×C₄×C₄⋊C₈	13

Subgroups — C2×C4⋊C8×Dic13 #15860792

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄⋊C₈×Dic₁₃ #15860792