Subgroups — C₁₃×#13120 #15699459

Order 3328.

394 conjugacy classes of subgroups.

The subgroup lattice has 342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×C₄⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×C₂²⋊C₁₆	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₃×C₂²⋊C₁₆	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×C₁₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1374	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
9	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
10	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
11	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
12	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×C₂²⋊C₈	C₄	1	1	yes	characteristic
14	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
15	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
16	C₄×C₁₃×C₂²⋊C₄	C₄	1	1	yes	characteristic
17	C₁₃×C₄⋊C₁₆	—	2	2	no	—
18	C₁₃×C₂²⋊C₁₆	—	2	2	no	—
19	C₁₃×C₂²⋊C₁₆	—	2	2	no	—
20	C₄×C₁₃×C₁₆	—	2	2	no	—
21	C₁₃×#336	C₄	1	1	yes	characteristic
22	C₁₃×#336	C₄	1	1	yes	characteristic
23	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
24	C₂²×C₈×C₁₃	—	2	1	no	—
25	C₂²×C₈×C₁₃	—	2	1	no	—
26	C₂²×C₈×C₁₃	—	2	1	no	—
27	C₂²×C₈×C₁₃	—	2	1	no	—
28	C₂²×C₈×C₁₃	—	2	1	no	—
29	C₂²×C₈×C₁₃	—	2	1	no	—
30	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
31	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
34	C₂×C₁₃×C₂²⋊C₄	C₈	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊C₄	C₈	1	1	yes	characteristic
36	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
38	C₂×C₁₃×C₁₆	—	2	1	no	—
39	C₂×C₁₃×C₁₆	—	2	1	no	—
40	C₂×C₁₃×C₁₆	—	2	1	no	—
41	C₂×C₁₃×C₁₆	—	2	1	no	—
42	C₂×C₁₃×C₁₆	—	2	1	no	—
43	C₂×C₁₃×C₁₆	—	2	1	no	—
44	C₂×C₁₃×C₁₆	—	2	1	no	—
45	C₂×C₁₃×C₁₆	—	2	1	no	—
46	C₂×C₁₃×C₁₆	—	2	1	no	—
47	C₂×C₁₃×C₁₆	—	2	1	no	—
48	C₂×C₁₃×C₁₆	D₄	1	2	yes	—
49	C₂×C₁₃×C₁₆	D₄	1	2	yes	—
50	C₁₃×C₂²⋊C₈	—	2	2	no	—
51	C₄×C₈×C₁₃	—	2	1	no	—
52	C₄×C₈×C₁₃	—	2	1	no	—
53	C₄×C₈×C₁₃	—	2	1	no	—
54	C₄×C₈×C₁₃	—	2	1	no	—
55	C₁₃×#95	C₈	1	1	yes	characteristic
56	C₁₃×#95	C₈	1	1	yes	characteristic
57	#13120	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
58	C₂⁴×C₁₃	C₂×C₈	1	1	yes	characteristic
59	C₂²×C₄×C₁₃	—	2	1	no	—
60	C₂²×C₄×C₁₃	—	2	1	no	—
61	C₂²×C₄×C₁₃	—	2	1	no	—
62	C₂²×C₄×C₁₃	—	2	1	no	—
63	C₂²×C₄×C₁₃	—	2	1	no	—
64	C₂²×C₄×C₁₃	—	2	1	no	—
65	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
66	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
67	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
68	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
69	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
70	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
71	C₂×C₈×C₁₃	—	2	1	no	—
72	C₂×C₈×C₁₃	—	2	1	no	—
73	C₂×C₈×C₁₃	—	2	1	no	—
74	C₂×C₈×C₁₃	—	2	1	no	—
75	C₂×C₈×C₁₃	—	2	1	no	—
76	C₂×C₈×C₁₃	—	2	1	no	—
77	C₂×C₈×C₁₃	—	2	1	no	—
78	C₂×C₈×C₁₃	—	2	1	no	—
79	C₂×C₈×C₁₃	—	4	1	no	—
80	C₂×C₈×C₁₃	—	4	1	no	—
81	C₂×C₈×C₁₃	—	4	1	no	—
82	C₂×C₈×C₁₃	—	4	1	no	—
83	C₂×C₈×C₁₃	M₁₆	1	2	yes	—
84	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
85	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
86	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
87	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
88	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
89	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
90	C₁₃×C₂²⋊C₄	—	2	2	no	—
91	C₁₃×C₂²⋊C₄	C₁₆	1	4	yes	complemented
92	C₄²×C₁₃	—	2	1	no	—
93	C₄²×C₁₃	—	2	1	no	—
94	C₄²×C₁₃	—	2	1	no	—
95	C₄²×C₁₃	—	2	1	no	—
96	C₁₃×C₁₆	—	2	2	no	—
97	C₁₃×C₁₆	—	2	2	no	—
98	C₁₃×C₁₆	—	4	1	no	—
99	C₁₃×C₁₆	—	4	1	no	—
100	C₂×C₄⋊C₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
101	C₂×C₂²⋊C₁₆	C₂×C₁₃	1	1	yes	characteristic
102	C₂×C₂²⋊C₁₆	C₂×C₁₃	1	1	yes	characteristic
103	C₂×C₄×C₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
104	C₈×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic
105	#1374	C₂×C₁₃	1	1	yes	characteristic, complemented
106	#1374	C₂×C₁₃	1	1	yes	characteristic, complemented
107	C₂³×C₁₃	—	2	1	no	—
108	C₂³×C₁₃	—	2	1	no	—
109	C₂³×C₁₃	—	2	1	no	—
110	C₂³×C₁₃	—	2	1	no	—
111	C₂³×C₁₃	—	2	1	no	—
112	C₂³×C₁₃	—	2	1	no	—
113	C₂³×C₁₃	C₂×C₁₆	1	2	yes	—
114	C₂³×C₁₃	C₂²×C₈	1	1	yes	characteristic
115	C₂×C₄×C₁₃	—	2	1	no	—
116	C₂×C₄×C₁₃	—	2	1	no	—
117	C₂×C₄×C₁₃	—	2	1	no	—
118	C₂×C₄×C₁₃	—	2	1	no	—
119	C₂×C₄×C₁₃	—	2	1	no	—
120	C₂×C₄×C₁₃	—	2	1	no	—
121	C₂×C₄×C₁₃	—	2	1	no	—
122	C₂×C₄×C₁₃	—	2	1	no	—
123	C₂×C₄×C₁₃	—	2	1	no	—
124	C₂×C₄×C₁₃	—	2	1	no	—
125	C₂×C₄×C₁₃	—	2	1	no	—
126	C₂×C₄×C₁₃	—	2	1	no	—
127	C₂×C₄×C₁₃	—	4	1	no	—
128	C₂×C₄×C₁₃	—	4	1	no	—
129	C₂×C₄×C₁₃	—	4	1	no	—
130	C₂×C₄×C₁₃	—	4	1	no	—
131	C₂×C₄×C₁₃	C₂×C₁₆	1	2	yes	—
132	C₂×C₄×C₁₃	C₂×C₁₆	1	2	yes	—
133	C₂×C₄×C₁₃	M₃₂	1	2	yes	—
134	C₂×C₄×C₁₃	#117	1	1	yes	characteristic
135	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂×M₁₆	1	1	yes	characteristic
138	C₂×C₄×C₁₃	#131	1	1	yes	characteristic
139	C₂×C₄×C₁₃	#131	1	1	yes	characteristic
140	C₈×C₁₃	—	2	2	no	—
141	C₈×C₁₃	—	4	1	no	—
142	C₈×C₁₃	—	4	1	no	—
143	C₈×C₁₃	#121	1	1	yes	characteristic
144	C₈×C₁₃	#123	1	1	yes	characteristic
145	C₈×C₁₃	#124	1	1	yes	characteristic
146	C₈×C₁₃	#126	1	1	yes	characteristic
147	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
148	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
149	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
150	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
151	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
152	C₂×C₂²⋊C₈	C₄×C₁₃	1	1	yes	characteristic
153	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
154	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
155	C₄×C₂²⋊C₄	C₄×C₁₃	1	1	yes	characteristic
156	C₄⋊C₁₆	—	2	2	no	—
157	C₂²⋊C₁₆	—	2	2	no	—
158	C₂²⋊C₁₆	—	2	2	no	—
159	C₄×C₁₆	—	2	2	no	—
160	#336	C₄×C₁₃	1	1	yes	characteristic
161	#336	C₄×C₁₃	1	1	yes	characteristic
162	C₂²×C₁₃	—	2	2	no	—
163	C₂²×C₁₃	—	2	2	no	—
164	C₂²×C₁₃	—	2	2	no	—
165	C₂²×C₁₃	—	4	1	no	—
166	C₂²×C₁₃	—	4	1	no	—
167	C₂²×C₁₃	—	4	1	no	—
168	C₂²×C₁₃	—	4	1	no	—
169	C₂²×C₁₃	#431	1	1	yes	characteristic
170	C₂²×C₁₃	C₈×D₄	1	1	yes	characteristic
171	C₂²×C₁₃	C₈×D₄	1	1	yes	characteristic
172	C₂²×C₁₃	C₂²×C₁₆	1	1	yes	characteristic
173	C₂²×C₁₃	C₂×M₃₂	1	1	yes	characteristic
174	C₂²×C₁₃	#504	1	1	yes	characteristic
175	C₂²×C₁₃	#504	1	1	yes	characteristic
176	C₄×C₁₃	—	2	2	no	—
177	C₄×C₁₃	—	2	2	no	—
178	C₄×C₁₃	—	2	2	no	—
179	C₄×C₁₃	—	4	1	no	—
180	C₄×C₁₃	—	4	1	no	—
181	C₄×C₁₃	#388	1	1	yes	characteristic
182	C₄×C₁₃	#433	1	1	yes	characteristic
183	C₄×C₁₃	#435	1	1	yes	characteristic
184	C₄×C₁₃	#436	1	1	yes	characteristic
185	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
186	C₂²×C₈	—	2	1	no	—
187	C₂²×C₈	—	2	1	no	—
188	C₂²×C₈	—	2	1	no	—
189	C₂²×C₈	—	2	1	no	—
190	C₂²×C₈	—	2	1	no	—
191	C₂²×C₈	—	2	1	no	—
192	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
193	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
194	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
195	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
196	C₂×C₂²⋊C₄	C₈×C₁₃	1	1	yes	characteristic
197	C₂×C₂²⋊C₄	C₈×C₁₃	1	1	yes	characteristic
198	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
199	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
200	C₂×C₁₆	—	2	1	no	—
201	C₂×C₁₆	—	2	1	no	—
202	C₂×C₁₆	—	2	1	no	—
203	C₂×C₁₆	—	2	1	no	—
204	C₂×C₁₆	—	2	1	no	—
205	C₂×C₁₆	—	2	1	no	—
206	C₂×C₁₆	—	2	1	no	—
207	C₂×C₁₆	—	2	1	no	—
208	C₂×C₁₆	—	2	1	no	—
209	C₂×C₁₆	—	2	1	no	—
210	C₂×C₁₆	D₄×C₁₃	1	2	yes	—
211	C₂×C₁₆	D₄×C₁₃	1	2	yes	—
212	C₂²⋊C₈	—	2	2	no	—
213	C₄×C₈	—	2	1	no	—
214	C₄×C₈	—	2	1	no	—
215	C₄×C₈	—	2	1	no	—
216	C₄×C₈	—	2	1	no	—
217	#95	C₈×C₁₃	1	1	yes	characteristic
218	#95	C₈×C₁₃	1	1	yes	characteristic
219	C₂×C₁₃	—	4	2	no	—
220	C₂×C₁₃	#1923	1	1	yes	characteristic
221	C₂×C₁₃	#2162	1	1	yes	characteristic
222	C₂×C₁₃	#2164	1	1	yes	characteristic
223	C₂×C₁₃	D₄×C₁₆	1	1	yes	characteristic
224	C₂×C₁₃	D₄×C₁₆	1	1	yes	characteristic
225	C₂×C₁₃	#2168	1	1	yes	characteristic
226	C₂×C₁₃	#2169	1	1	yes	characteristic
227	C₂⁴	C₂×C₈×C₁₃	1	1	yes	characteristic
228	C₂²×C₄	—	2	1	no	—
229	C₂²×C₄	—	2	1	no	—
230	C₂²×C₄	—	2	1	no	—
231	C₂²×C₄	—	2	1	no	—
232	C₂²×C₄	—	2	1	no	—
233	C₂²×C₄	—	2	1	no	—
234	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
235	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
236	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
237	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
238	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
240	C₂×C₈	—	2	1	no	—
241	C₂×C₈	—	2	1	no	—
242	C₂×C₈	—	2	1	no	—
243	C₂×C₈	—	2	1	no	—
244	C₂×C₈	—	2	1	no	—
245	C₂×C₈	—	2	1	no	—
246	C₂×C₈	—	2	1	no	—
247	C₂×C₈	—	2	1	no	—
248	C₂×C₈	—	4	1	no	—
249	C₂×C₈	—	4	1	no	—
250	C₂×C₈	—	4	1	no	—
251	C₂×C₈	—	4	1	no	—
252	C₂×C₈	C₁₃×M₁₆	1	2	yes	—
253	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
254	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
255	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
256	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
257	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
258	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
259	C₂²⋊C₄	—	2	2	no	—
260	C₂²⋊C₄	C₁₃×C₁₆	1	4	yes	complemented
261	C₄²	—	2	1	no	—
262	C₄²	—	2	1	no	—
263	C₄²	—	2	1	no	—
264	C₄²	—	2	1	no	—
265	C₁₆	—	2	2	no	—
266	C₁₆	—	2	2	no	—
267	C₁₆	—	4	1	no	—
268	C₁₆	—	4	1	no	—
269	C₁₃	#13120	1	1	yes	characteristic, direct product factor, Sylow
270	C₂³	—	2	1	no	—
271	C₂³	—	2	1	no	—
272	C₂³	—	2	1	no	—
273	C₂³	—	2	1	no	—
274	C₂³	—	2	1	no	—
275	C₂³	—	2	1	no	—
276	C₂³	C₂×C₁₃×C₁₆	1	2	yes	—
277	C₂³	C₂²×C₈×C₁₃	1	1	yes	characteristic
278	C₂×C₄	—	2	1	no	—
279	C₂×C₄	—	2	1	no	—
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	2	1	no	—
282	C₂×C₄	—	2	1	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	1	no	—
285	C₂×C₄	—	2	1	no	—
286	C₂×C₄	—	2	1	no	—
287	C₂×C₄	—	2	1	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	4	1	no	—
291	C₂×C₄	—	4	1	no	—
292	C₂×C₄	—	4	1	no	—
293	C₂×C₄	—	4	1	no	—
294	C₂×C₄	C₂×C₁₃×C₁₆	1	2	yes	—
295	C₂×C₄	C₂×C₁₃×C₁₆	1	2	yes	—
296	C₂×C₄	C₁₃×M₃₂	1	2	yes	—
297	C₂×C₄	C₁₃×#117	1	1	yes	characteristic
298	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
299	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
300	C₂×C₄	C₂×C₁₃×M₁₆	1	1	yes	characteristic
301	C₂×C₄	C₁₃×#131	1	1	yes	characteristic
302	C₂×C₄	C₁₃×#131	1	1	yes	characteristic
303	C₈	—	2	2	no	—
304	C₈	—	4	1	no	—
305	C₈	—	4	1	no	—
306	C₈	C₁₃×#121	1	1	yes	characteristic
307	C₈	C₁₃×#123	1	1	yes	characteristic
308	C₈	C₁₃×#124	1	1	yes	characteristic
309	C₈	C₁₃×#126	1	1	yes	characteristic
310	C₂²	—	2	2	no	—
311	C₂²	—	2	2	no	—
312	C₂²	—	2	2	no	—
313	C₂²	—	4	1	no	—
314	C₂²	—	4	1	no	—
315	C₂²	—	4	1	no	—
316	C₂²	—	4	1	no	—
317	C₂²	C₁₃×#431	1	1	yes	characteristic
318	C₂²	C₈×D₄×C₁₃	1	1	yes	characteristic
319	C₂²	C₈×D₄×C₁₃	1	1	yes	characteristic
320	C₂²	C₂²×C₁₃×C₁₆	1	1	yes	characteristic
321	C₂²	C₂×C₁₃×M₃₂	1	1	yes	characteristic
322	C₂²	C₁₃×#504	1	1	yes	characteristic
323	C₂²	C₁₃×#504	1	1	yes	characteristic
324	C₄	—	2	2	no	—
325	C₄	—	2	2	no	—
326	C₄	—	2	2	no	—
327	C₄	—	4	1	no	—
328	C₄	—	4	1	no	—
329	C₄	C₁₃×#388	1	1	yes	characteristic
330	C₄	C₁₃×#433	1	1	yes	characteristic
331	C₄	C₁₃×#435	1	1	yes	characteristic
332	C₄	C₁₃×#436	1	1	yes	characteristic
333	C₂	—	4	2	no	—
334	C₂	C₁₃×#1923	1	1	yes	characteristic
335	C₂	C₁₃×#2162	1	1	yes	characteristic
336	C₂	C₁₃×#2164	1	1	yes	characteristic
337	C₂	D₄×C₁₃×C₁₆	1	1	yes	characteristic
338	C₂	D₄×C₁₃×C₁₆	1	1	yes	characteristic
339	C₂	C₁₃×#2168	1	1	yes	characteristic
340	C₂	C₁₃×#2169	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₈×C₁₃	C₂³
commutator	C₂²	C₂²×C₁₃×C₁₆
Frattini, cosocle	C₂²×C₈	C₂³×C₁₃
socle	C₂³×C₁₃	C₂²×C₈
prime radical	C₂⁴×C₁₃	C₂×C₈
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
1. C₂×C₁₃×C₄⋊C₁₆	C₂	semidirect
4. C₂×C₄×C₁₃×C₁₆	C₂	semidirect
6. C₁₃×#1374	C₂	semidirect
7. C₁₃×#1374	C₂	semidirect
57. #13120	C₁₃	direct (N × H)
91. C₁₃×C₂²⋊C₄	C₁₆	semidirect
100. C₂×C₄⋊C₁₆	C₂×C₁₃	semidirect
103. C₂×C₄×C₁₆	C₂×C₁₃	semidirect
105. #1374	C₂×C₁₃	semidirect
106. #1374	C₂×C₁₃	semidirect
260. C₂²⋊C₄	C₁₃×C₁₆	semidirect
269. C₁₃	#13120	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×C₄⋊C₁₆	2
C₂×C₁₃×C₂²⋊C₁₆	2
C₂×C₄×C₁₃×C₁₆	2
C₈×C₁₃×C₂²⋊C₄	2
C₁₃×#1374	2
#13120	13

Subgroups — C13×#13120 #15699459

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#13120 #15699459