Subgroups — C₁₃×#20546 #15706885

Order 3328.

1006 conjugacy classes of subgroups.

The subgroup lattice has 322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#432	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
3	C₄×C₁₃×#117	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1771	C₂	1	4	yes	maximal, complemented
5	C₁₃×#1767	C₂	1	2	yes	maximal, complemented
6	C₄×C₁₃×C₄⋊C₈	C₂	1	2	yes	maximal, complemented
7	C₁₃×#1752	C₂	1	2	yes	maximal
8	C₈×C₁₃×C₂²⋊C₄	C₂	1	2	yes	maximal
9	C₂³×C₈×C₁₃	C₂²	1	2	yes	—
10	C₂×C₁₃×#117	C₄	1	2	yes	—
11	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
12	C₁₃×#432	C₄	1	8	yes	complemented
13	C₂×C₁₃×C₄⋊C₈	C₄	1	8	yes	complemented
14	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
16	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
18	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
19	C₂×C₁₃×#97	C₂²	1	4	yes	—
20	C₂×C₁₃×#97	C₂²	1	2	yes	—
21	C₂×C₄×C₈×C₁₃	C₂²	1	4	yes	—
22	C₄×C₁₃×C₄⋊C₄	C₄	1	2	yes	—
23	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
24	C₄×C₁₃×C₂²⋊C₄	C₄	1	2	yes	—
25	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
26	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
27	C₁₃×#376	C₄	1	2	yes	—
28	C₄³×C₁₃	C₂²	1	2	yes	—
29	C₁₃×#336	C₂²	1	4	yes	—
30	C₁₃×#336	C₂²	1	4	yes	—
31	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
32	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
33	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
34	C₂²×C₈×C₁₃	—	4	4	no	—
35	C₂²×C₈×C₁₃	C₂×C₄	1	8	yes	—
36	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
37	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
38	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
39	C₁₃×#117	—	2	8	no	—
40	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	4	yes	—
41	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
42	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
43	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
44	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
45	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
48	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
49	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
50	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
51	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
52	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
53	C₁₃×C₄⋊C₈	C₂×C₄	1	4	yes	—
54	C₁₃×C₄⋊C₈	C₂×C₄	1	4	yes	—
55	C₁₃×C₄⋊C₈	C₂×C₄	1	8	yes	—
56	C₁₃×C₄⋊C₈	C₂×C₄	1	8	yes	—
57	C₁₃×C₂²⋊C₈	C₂×C₄	1	8	yes	—
58	C₁₃×#97	—	4	4	no	—
59	C₁₃×#97	C₂×C₄	1	8	yes	—
60	C₄×C₈×C₁₃	—	4	4	no	—
61	C₁₃×#95	C₂×C₄	1	4	yes	—
62	C₁₃×#95	C₂×C₄	1	2	yes	—
63	C₁₃×#95	C₂×C₄	1	2	yes	—
64	#20546	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
65	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
66	C₂²×C₄×C₁₃	—	2	4	no	—
67	C₂²×C₄×C₁₃	—	2	4	no	—
68	C₂²×C₄×C₁₃	—	2	2	no	—
69	C₂²×C₄×C₁₃	—	2	2	no	—
70	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
71	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
72	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
73	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
78	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
79	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
80	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
82	C₂×C₈×C₁₃	—	2	4	no	—
83	C₂×C₈×C₁₃	—	2	4	no	—
84	C₂×C₈×C₁₃	—	2	4	no	—
85	C₂×C₈×C₁₃	—	2	4	no	—
86	C₂×C₈×C₁₃	—	4	8	no	—
87	C₂×C₈×C₁₃	C₂²×C₄	1	8	yes	—
88	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
89	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
90	C₁₃×C₄⋊C₄	—	2	8	no	—
91	C₁₃×C₂²⋊C₄	—	2	4	no	—
92	C₁₃×C₂²⋊C₄	M₁₆	1	8	yes	—
93	C₄²×C₁₃	—	2	8	no	—
94	C₄²×C₁₃	—	2	8	no	—
95	C₄²×C₁₃	—	2	2	no	—
96	C₄²×C₁₃	—	2	2	no	—
97	C₄²×C₁₃	—	2	2	no	—
98	C₄²×C₁₃	—	2	2	no	—
99	C₄²×C₁₃	C₄²	1	4	yes	—
100	C₄²×C₁₃	C₄²	1	4	yes	—
101	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
102	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
103	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
104	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
105	C₂×#432	C₂×C₁₃	1	1	yes	characteristic
106	C₂²×C₄⋊C₈	C₂×C₁₃	1	1	yes	characteristic
107	C₄×#117	C₂×C₁₃	1	1	yes	characteristic
108	#1771	C₂×C₁₃	1	4	yes	complemented
109	#1767	C₂×C₁₃	1	2	yes	complemented
110	C₄×C₄⋊C₈	C₂×C₁₃	1	2	yes	complemented
111	#1752	C₂×C₁₃	1	2	yes	—
112	C₈×C₂²⋊C₄	C₂×C₁₃	1	2	yes	—
113	C₂³×C₁₃	—	2	2	no	—
114	C₂³×C₁₃	—	2	2	no	—
115	C₂³×C₁₃	C₂×C₄²	1	2	yes	—
116	C₂³×C₁₃	C₂×M₁₆	1	4	yes	—
117	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
118	C₂×C₄×C₁₃	—	2	4	no	—
119	C₂×C₄×C₁₃	—	2	2	no	—
120	C₂×C₄×C₁₃	—	2	2	no	—
121	C₂×C₄×C₁₃	—	2	2	no	—
122	C₂×C₄×C₁₃	—	2	4	no	—
123	C₂×C₄×C₁₃	—	2	2	no	—
124	C₂×C₄×C₁₃	—	2	8	no	—
125	C₂×C₄×C₁₃	—	2	2	no	—
126	C₂×C₄×C₁₃	—	2	2	no	—
127	C₂×C₄×C₁₃	—	2	4	no	—
128	C₂×C₄×C₁₃	—	2	8	no	—
129	C₂×C₄×C₁₃	—	2	4	no	—
130	C₂×C₄×C₁₃	—	2	4	no	—
131	C₂×C₄×C₁₃	—	2	4	no	—
132	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
133	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
134	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
135	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
136	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
137	C₂×C₄×C₁₃	C₂×M₁₆	1	8	yes	—
138	C₂×C₄×C₁₃	#131	1	4	yes	—
139	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
141	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
142	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
143	C₈×C₁₃	—	2	4	no	—
144	C₈×C₁₃	—	2	4	no	—
145	C₈×C₁₃	—	2	8	no	—
146	C₂³×C₈	C₂²×C₁₃	1	2	yes	—
147	C₂×#117	C₄×C₁₃	1	2	yes	—
148	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
149	#432	C₄×C₁₃	1	8	yes	complemented
150	C₂×C₄⋊C₈	C₄×C₁₃	1	8	yes	complemented
151	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
152	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
153	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
154	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
155	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
156	C₂×#97	C₂²×C₁₃	1	4	yes	—
157	C₂×#97	C₂²×C₁₃	1	2	yes	—
158	C₂×C₄×C₈	C₂²×C₁₃	1	4	yes	—
159	C₄×C₄⋊C₄	C₄×C₁₃	1	2	yes	—
160	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
161	C₄×C₂²⋊C₄	C₄×C₁₃	1	2	yes	—
162	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
163	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
164	#376	C₄×C₁₃	1	2	yes	—
165	C₄³	C₂²×C₁₃	1	2	yes	—
166	#336	C₂²×C₁₃	1	4	yes	—
167	#336	C₂²×C₁₃	1	4	yes	—
168	C₂²×C₁₃	—	2	2	no	—
169	C₂²×C₁₃	—	2	8	no	—
170	C₂²×C₁₃	—	2	2	no	—
171	C₂²×C₁₃	C₄×M₁₆	1	4	yes	—
172	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
173	C₂²×C₁₃	#520	1	2	yes	—
174	C₂²×C₁₃	C₂²×M₁₆	1	2	yes	—
175	C₂²×C₁₃	C₂×#131	1	2	yes	—
176	C₄×C₁₃	—	2	2	no	—
177	C₄×C₁₃	—	2	2	no	—
178	C₄×C₁₃	—	2	2	no	—
179	C₄×C₁₃	—	2	8	no	—
180	C₄×C₁₃	—	2	2	no	—
181	C₄×C₁₃	—	4	4	no	—
182	C₄×C₁₃	#405	1	4	yes	—
183	C₄×C₁₃	#518	1	1	yes	characteristic
184	C₄×C₁₃	#519	1	1	yes	characteristic
185	C₄×C₁₃	#520	1	2	yes	—
186	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
187	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
188	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
189	C₂²×C₈	—	4	4	no	—
190	C₂²×C₈	C₂×C₄×C₁₃	1	8	yes	—
191	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
192	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
193	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
194	#117	—	2	8	no	—
195	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	4	yes	—
196	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
197	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
198	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
199	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
200	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
201	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
202	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
203	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
204	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
205	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
206	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
207	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
208	C₄⋊C₈	C₂×C₄×C₁₃	1	4	yes	—
209	C₄⋊C₈	C₂×C₄×C₁₃	1	4	yes	—
210	C₄⋊C₈	C₂×C₄×C₁₃	1	8	yes	—
211	C₄⋊C₈	C₂×C₄×C₁₃	1	8	yes	—
212	C₂²⋊C₈	C₂×C₄×C₁₃	1	8	yes	—
213	#97	—	4	4	no	—
214	#97	C₂×C₄×C₁₃	1	8	yes	—
215	C₄×C₈	—	4	4	no	—
216	#95	C₂×C₄×C₁₃	1	4	yes	—
217	#95	C₂×C₄×C₁₃	1	2	yes	—
218	#95	C₂×C₄×C₁₃	1	2	yes	—
219	C₂×C₁₃	—	2	4	no	—
220	C₂×C₁₃	#2274	1	1	yes	characteristic
221	C₂×C₁₃	C₂×C₄×M₁₆	1	1	yes	characteristic
222	C₂×C₁₃	C₂×#405	1	1	yes	characteristic
223	C₂×C₁₃	#2990	1	4	yes	—
224	C₂⁴	C₂²×C₄×C₁₃	1	1	yes	characteristic
225	C₂²×C₄	—	2	4	no	—
226	C₂²×C₄	—	2	4	no	—
227	C₂²×C₄	—	2	2	no	—
228	C₂²×C₄	—	2	2	no	—
229	C₂²×C₄	C₄²×C₁₃	1	4	yes	—
230	C₂²×C₄	C₄²×C₁₃	1	4	yes	—
231	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
232	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
233	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
234	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
235	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
236	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
237	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
238	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
239	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
240	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
241	C₂×C₈	—	2	4	no	—
242	C₂×C₈	—	2	4	no	—
243	C₂×C₈	—	2	4	no	—
244	C₂×C₈	—	2	4	no	—
245	C₂×C₈	—	4	8	no	—
246	C₂×C₈	C₂²×C₄×C₁₃	1	8	yes	—
247	C₂×C₈	C₂²×C₄×C₁₃	1	4	yes	—
248	C₂×C₈	C₂²×C₄×C₁₃	1	4	yes	—
249	C₄⋊C₄	—	2	8	no	—
250	C₂²⋊C₄	—	2	4	no	—
251	C₂²⋊C₄	C₁₃×M₁₆	1	8	yes	—
252	C₄²	—	2	8	no	—
253	C₄²	—	2	8	no	—
254	C₄²	—	2	2	no	—
255	C₄²	—	2	2	no	—
256	C₄²	—	2	2	no	—
257	C₄²	—	2	2	no	—
258	C₄²	C₄²×C₁₃	1	4	yes	—
259	C₄²	C₄²×C₁₃	1	4	yes	—
260	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
261	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
262	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
263	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
264	C₁₃	#20546	1	1	yes	characteristic, direct product factor, Sylow
265	C₂³	—	2	2	no	—
266	C₂³	—	2	2	no	—
267	C₂³	C₂×C₄²×C₁₃	1	2	yes	—
268	C₂³	C₂×C₁₃×M₁₆	1	4	yes	—
269	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
270	C₂×C₄	—	2	8	no	—
271	C₂×C₄	—	2	4	no	—
272	C₂×C₄	—	2	2	no	—
273	C₂×C₄	—	2	2	no	—
274	C₂×C₄	—	2	2	no	—
275	C₂×C₄	—	2	4	no	—
276	C₂×C₄	—	2	2	no	—
277	C₂×C₄	—	2	8	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	2	2	no	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	2	4	no	—
283	C₂×C₄	—	2	4	no	—
284	C₂×C₄	C₂×C₄²×C₁₃	1	2	yes	—
285	C₂×C₄	C₂×C₄²×C₁₃	1	2	yes	—
286	C₂×C₄	C₂×C₄²×C₁₃	1	2	yes	—
287	C₂×C₄	C₂×C₄²×C₁₃	1	2	yes	—
288	C₂×C₄	C₂×C₄²×C₁₃	1	2	yes	—
289	C₂×C₄	C₂×C₁₃×M₁₆	1	8	yes	—
290	C₂×C₄	C₁₃×#131	1	4	yes	—
291	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
292	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
293	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
294	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
295	C₈	—	2	4	no	—
296	C₈	—	2	4	no	—
297	C₈	—	2	8	no	—
298	C₂²	—	2	2	no	—
299	C₂²	—	2	2	no	—
300	C₂²	—	2	8	no	—
301	C₂²	C₄×C₁₃×M₁₆	1	4	yes	—
302	C₂²	C₂²×C₄²×C₁₃	1	1	yes	characteristic
303	C₂²	C₁₃×#520	1	2	yes	—
304	C₂²	C₂²×C₁₃×M₁₆	1	2	yes	—
305	C₂²	C₂×C₁₃×#131	1	2	yes	—
306	C₄	—	2	2	no	—
307	C₄	—	2	2	no	—
308	C₄	—	2	2	no	—
309	C₄	—	2	2	no	—
310	C₄	—	2	8	no	—
311	C₄	—	4	4	no	—
312	C₄	C₁₃×#405	1	4	yes	—
313	C₄	C₁₃×#518	1	1	yes	characteristic
314	C₄	C₁₃×#519	1	1	yes	characteristic
315	C₄	C₁₃×#520	1	2	yes	—
316	C₂	—	2	4	no	—
317	C₂	C₁₃×#2274	1	1	yes	characteristic
318	C₂	C₂×C₄×C₁₃×M₁₆	1	1	yes	characteristic
319	C₂	C₂×C₁₃×#405	1	1	yes	characteristic
320	C₂	C₁₃×#2990	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator	C₂²	C₂²×C₄²×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
socle	C₂³×C₁₃	C₂³×C₄
prime radical	C₂⁴×C₁₃	C₂²×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₃×#1771	C₂	semidirect
5. C₁₃×#1767	C₂	semidirect
6. C₄×C₁₃×C₄⋊C₈	C₂	semidirect
12. C₁₃×#432	C₄	semidirect
13. C₂×C₁₃×C₄⋊C₈	C₄	semidirect
64. #20546	C₁₃	direct (N × H)
108. #1771	C₂×C₁₃	semidirect
109. #1767	C₂×C₁₃	semidirect
110. C₄×C₄⋊C₈	C₂×C₁₃	semidirect
149. #432	C₄×C₁₃	semidirect
150. C₂×C₄⋊C₈	C₄×C₁₃	semidirect
264. C₁₃	#20546	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×C₁₃×#432	2
C₂²×C₁₃×C₄⋊C₈	2
C₄×C₁₃×#117	2
C₁₃×#1771	2
C₁₃×#1767	2
C₄×C₁₃×C₄⋊C₈	2
C₁₃×#1752	2
C₈×C₁₃×C₂²⋊C₄	2
#20546	13

Subgroups — C13×#20546 #15706885

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#20546 #15706885