Subgroups — C₁₃×#20476 #15706815

Order 3328.

990 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×C₄×C₈×C₁₃	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2283	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1770	C₂	1	2	yes	maximal, complemented
5	C₈×C₁₃×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
6	C₁₃×#1752	C₂	1	2	yes	maximal
7	C₈×C₁₃×C₂²⋊C₄	C₂	1	2	yes	maximal
8	C₁₃×#1746	C₂	1	2	yes	maximal, complemented
9	C₁₃×#1726	C₂	1	2	yes	maximal, complemented
10	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
11	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
12	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
13	C₁₃×#432	C₄	1	8	yes	complemented
14	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
16	C₂×C₁₃×#97	C₂²	1	4	yes	—
17	C₂×C₁₃×#97	C₂²	1	2	yes	—
18	C₂×C₄×C₈×C₁₃	C₄	1	8	yes	complemented
19	C₂×C₄×C₈×C₁₃	C₂²	1	4	yes	—
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
24	C₁₃×#383	C₄	1	2	yes	—
25	C₁₃×#382	C₄	1	2	yes	—
26	C₁₃×#381	C₄	1	2	yes	—
27	C₁₃×#380	C₄	1	2	yes	—
28	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
29	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
30	C₁₃×#376	C₂²	1	2	yes	—
31	C₁₃×#336	C₂²	1	4	yes	—
32	C₁₃×#336	C₂²	1	4	yes	—
33	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
34	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
35	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
36	C₂²×C₈×C₁₃	—	2	4	no	—
37	C₂²×C₈×C₁₃	—	2	4	no	—
38	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
39	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
40	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
41	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
43	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
45	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	4	yes	—
46	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	4	yes	—
47	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
48	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
50	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
51	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
52	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
53	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
54	C₁₃×C₄⋊C₈	C₂×C₄	1	8	yes	—
55	C₁₃×C₂²⋊C₈	C₂×C₄	1	8	yes	—
56	C₁₃×#97	—	2	8	no	—
57	C₁₃×#97	C₂×C₄	1	8	yes	—
58	C₄×C₈×C₁₃	—	2	8	no	—
59	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	—
60	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	—
61	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	—
62	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	—
63	C₁₃×#95	C₂×C₄	1	4	yes	—
64	C₁₃×#95	C₂×C₄	1	4	yes	—
65	C₁₃×#95	C₂×C₄	1	4	yes	—
66	C₁₃×#95	C₂×C₄	1	4	yes	—
67	#20476	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
68	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₃	—	2	4	no	—
70	C₂²×C₄×C₁₃	—	2	4	no	—
71	C₂²×C₄×C₁₃	—	2	2	no	—
72	C₂²×C₄×C₁₃	—	2	2	no	—
73	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
74	C₂²×C₄×C₁₃	C₄²	1	4	yes	—
75	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
76	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
84	C₂×C₈×C₁₃	—	2	4	no	—
85	C₂×C₈×C₁₃	—	2	4	no	—
86	C₂×C₈×C₁₃	—	2	2	no	—
87	C₂×C₈×C₁₃	—	2	2	no	—
88	C₂×C₈×C₁₃	—	2	8	no	—
89	C₂×C₈×C₁₃	—	2	8	no	—
90	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
91	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
92	C₂×C₈×C₁₃	C₂²×C₄	1	8	yes	—
93	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
94	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
95	C₂×C₈×C₁₃	#41	1	4	yes	—
96	C₂×C₈×C₁₃	#41	1	4	yes	—
97	C₁₃×C₄⋊C₄	—	2	8	no	—
98	C₁₃×C₂²⋊C₄	—	2	8	no	—
99	C₄²×C₁₃	—	2	4	no	—
100	C₄²×C₁₃	—	2	4	no	—
101	C₄²×C₁₃	C₄²	1	4	yes	—
102	C₄²×C₁₃	C₄²	1	4	yes	—
103	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
104	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
105	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
106	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
107	C₂×#432	C₂×C₁₃	1	1	yes	characteristic
108	C₂²×C₄×C₈	C₂×C₁₃	1	1	yes	characteristic
109	#2283	C₂×C₁₃	1	1	yes	characteristic
110	#1770	C₂×C₁₃	1	2	yes	complemented
111	C₈×C₄⋊C₄	C₂×C₁₃	1	2	yes	complemented
112	#1752	C₂×C₁₃	1	2	yes	—
113	C₈×C₂²⋊C₄	C₂×C₁₃	1	2	yes	—
114	#1746	C₂×C₁₃	1	2	yes	complemented
115	#1726	C₂×C₁₃	1	2	yes	complemented
116	C₂³×C₁₃	—	2	2	no	—
117	C₂³×C₁₃	—	2	2	no	—
118	C₂³×C₁₃	C₂×C₄²	1	2	yes	—
119	C₂³×C₁₃	#131	1	4	yes	—
120	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
121	C₂×C₄×C₁₃	—	2	2	no	—
122	C₂×C₄×C₁₃	—	2	2	no	—
123	C₂×C₄×C₁₃	—	2	2	no	—
124	C₂×C₄×C₁₃	—	2	2	no	—
125	C₂×C₄×C₁₃	—	2	8	no	—
126	C₂×C₄×C₁₃	—	2	2	no	—
127	C₂×C₄×C₁₃	—	2	2	no	—
128	C₂×C₄×C₁₃	—	2	4	no	—
129	C₂×C₄×C₁₃	—	2	8	no	—
130	C₂×C₄×C₁₃	—	2	8	no	—
131	C₂×C₄×C₁₃	—	2	8	no	—
132	C₂×C₄×C₁₃	—	2	8	no	—
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×C₄²	1	2	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	C₂×#41	1	2	yes	—
142	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
143	C₈×C₁₃	—	2	2	no	—
144	C₈×C₁₃	—	2	2	no	—
145	C₈×C₁₃	—	2	8	no	—
146	C₈×C₁₃	#117	1	4	yes	—
147	C₈×C₁₃	#117	1	4	yes	—
148	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
149	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
150	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
151	#432	C₄×C₁₃	1	8	yes	complemented
152	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
153	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
154	C₂×#97	C₂²×C₁₃	1	4	yes	—
155	C₂×#97	C₂²×C₁₃	1	2	yes	—
156	C₂×C₄×C₈	C₄×C₁₃	1	8	yes	complemented
157	C₂×C₄×C₈	C₂²×C₁₃	1	4	yes	—
158	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
159	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
160	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
161	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
162	#383	C₄×C₁₃	1	2	yes	—
163	#382	C₄×C₁₃	1	2	yes	—
164	#381	C₄×C₁₃	1	2	yes	—
165	#380	C₄×C₁₃	1	2	yes	—
166	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
167	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
168	#376	C₂²×C₁₃	1	2	yes	—
169	#336	C₂²×C₁₃	1	4	yes	—
170	#336	C₂²×C₁₃	1	4	yes	—
171	C₂²×C₁₃	—	2	2	no	—
172	C₂²×C₁₃	—	2	8	no	—
173	C₂²×C₁₃	—	2	2	no	—
174	C₂²×C₁₃	#405	1	4	yes	—
175	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
176	C₂²×C₁₃	C₄×#41	1	2	yes	—
177	C₂²×C₁₃	C₂×#131	1	2	yes	—
178	C₂²×C₁₃	C₂×#131	1	2	yes	—
179	C₄×C₁₃	—	2	2	no	—
180	C₄×C₁₃	—	2	2	no	—
181	C₄×C₁₃	—	2	2	no	—
182	C₄×C₁₃	—	2	2	no	—
183	C₄×C₁₃	—	4	8	no	—
184	C₄×C₁₃	#405	1	4	yes	—
185	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
186	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
187	C₄×C₁₃	C₄×#41	1	2	yes	—
188	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
189	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
190	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
191	C₂²×C₈	—	2	4	no	—
192	C₂²×C₈	—	2	4	no	—
193	C₂²×C₈	C₂×C₄×C₁₃	1	4	yes	—
194	C₂²×C₈	C₂×C₄×C₁₃	1	4	yes	—
195	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
196	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
197	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
198	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
199	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
200	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	4	yes	—
201	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	4	yes	—
202	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
203	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
204	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
205	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
206	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
207	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
208	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
209	C₄⋊C₈	C₂×C₄×C₁₃	1	8	yes	—
210	C₂²⋊C₈	C₂×C₄×C₁₃	1	8	yes	—
211	#97	—	2	8	no	—
212	#97	C₂×C₄×C₁₃	1	8	yes	—
213	C₄×C₈	—	2	8	no	—
214	C₄×C₈	C₂×C₄×C₁₃	1	4	yes	—
215	C₄×C₈	C₂×C₄×C₁₃	1	4	yes	—
216	C₄×C₈	C₂×C₄×C₁₃	1	4	yes	—
217	C₄×C₈	C₂×C₄×C₁₃	1	4	yes	—
218	#95	C₂×C₄×C₁₃	1	4	yes	—
219	#95	C₂×C₄×C₁₃	1	4	yes	—
220	#95	C₂×C₄×C₁₃	1	4	yes	—
221	#95	C₂×C₄×C₁₃	1	4	yes	—
222	C₂×C₁₃	—	2	4	no	—
223	C₂×C₁₃	C₄×#117	1	1	yes	characteristic
224	C₂×C₁₃	C₂×#405	1	1	yes	characteristic
225	C₂×C₁₃	C₂×#405	1	1	yes	characteristic
226	C₂×C₁₃	#2966	1	4	yes	—
227	C₂⁴	C₂²×C₄×C₁₃	1	1	yes	characteristic
228	C₂²×C₄	—	2	4	no	—
229	C₂²×C₄	—	2	4	no	—
230	C₂²×C₄	—	2	2	no	—
231	C₂²×C₄	—	2	2	no	—
232	C₂²×C₄	C₄²×C₁₃	1	4	yes	—
233	C₂²×C₄	C₄²×C₁₃	1	4	yes	—
234	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
235	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
236	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
237	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
238	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
240	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
241	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
242	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
243	C₂×C₈	—	2	4	no	—
244	C₂×C₈	—	2	4	no	—
245	C₂×C₈	—	2	2	no	—
246	C₂×C₈	—	2	2	no	—
247	C₂×C₈	—	2	8	no	—
248	C₂×C₈	—	2	8	no	—
249	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
250	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
251	C₂×C₈	C₂²×C₄×C₁₃	1	8	yes	—
252	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
253	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
254	C₂×C₈	C₁₃×#41	1	4	yes	—
255	C₂×C₈	C₁₃×#41	1	4	yes	—
256	C₄⋊C₄	—	2	8	no	—
257	C₂²⋊C₄	—	2	8	no	—
258	C₄²	—	2	4	no	—
259	C₄²	—	2	4	no	—
260	C₄²	C₄²×C₁₃	1	4	yes	—
261	C₄²	C₄²×C₁₃	1	4	yes	—
262	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
263	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
264	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
265	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
266	C₁₃	#20476	1	1	yes	characteristic, direct product factor, Sylow
267	C₂³	—	2	2	no	—
268	C₂³	—	2	2	no	—
269	C₂³	C₂×C₄²×C₁₃	1	2	yes	—
270	C₂³	C₁₃×#131	1	4	yes	—
271	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
272	C₂×C₄	—	2	8	no	—
273	C₂×C₄	—	2	2	no	—
274	C₂×C₄	—	2	2	no	—
275	C₂×C₄	—	2	2	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	8	no	—
282	C₂×C₄	—	2	8	no	—
283	C₂×C₄	—	2	8	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	C₁₃×#131	1	4	yes	—
290	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
291	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
292	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
293	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
294	C₈	—	2	2	no	—
295	C₈	—	2	2	no	—
296	C₈	—	2	8	no	—
297	C₈	C₁₃×#117	1	4	yes	—
298	C₈	C₁₃×#117	1	4	yes	—
299	C₂²	—	2	2	no	—
300	C₂²	—	2	2	no	—
301	C₂²	—	2	8	no	—
302	C₂²	C₁₃×#405	1	4	yes	—
303	C₂²	C₂²×C₄²×C₁₃	1	1	yes	characteristic
304	C₂²	C₄×C₁₃×#41	1	2	yes	—
305	C₂²	C₂×C₁₃×#131	1	2	yes	—
306	C₂²	C₂×C₁₃×#131	1	2	yes	—
307	C₄	—	2	2	no	—
308	C₄	—	2	2	no	—
309	C₄	—	2	2	no	—
310	C₄	—	2	2	no	—
311	C₄	—	4	8	no	—
312	C₄	C₁₃×#405	1	4	yes	—
313	C₄	C₂×C₁₃×#117	1	1	yes	characteristic
314	C₄	C₂×C₁₃×#117	1	1	yes	characteristic
315	C₄	C₄×C₁₃×#41	1	2	yes	—
316	C₂	—	2	4	no	—
317	C₂	C₄×C₁₃×#117	1	1	yes	characteristic
318	C₂	C₂×C₁₃×#405	1	1	yes	characteristic
319	C₂	C₂×C₁₃×#405	1	1	yes	characteristic
320	C₂	C₁₃×#2966	1	4	yes	—

	subgroup	G/H
center	C₂²×C₈×C₁₃	C₂³
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×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₃×#1770	C₂	semidirect
5. C₈×C₁₃×C₄⋊C₄	C₂	semidirect
8. C₁₃×#1746	C₂	semidirect
9. C₁₃×#1726	C₂	semidirect
13. C₁₃×#432	C₄	semidirect
18. C₂×C₄×C₈×C₁₃	C₄	semidirect
67. #20476	C₁₃	direct (N × H)
110. #1770	C₂×C₁₃	semidirect
111. C₈×C₄⋊C₄	C₂×C₁₃	semidirect
114. #1746	C₂×C₁₃	semidirect
115. #1726	C₂×C₁₃	semidirect
151. #432	C₄×C₁₃	semidirect
156. C₂×C₄×C₈	C₄×C₁₃	semidirect
266. C₁₃	#20476	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×C₄×C₈×C₁₃	2
C₁₃×#2283	2
C₁₃×#1770	2
C₈×C₁₃×C₄⋊C₄	2
C₁₃×#1752	2
C₈×C₁₃×C₂²⋊C₄	2
C₁₃×#1746	2
C₁₃×#1726	2
#20476	13

Subgroups — C13×#20476 #15706815

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#20476 #15706815