Subgroups — C₁₃×#33503 #15719842

Order 3328.

526 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈×C₁₃×#41	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2183	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2169	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2168	C₂	1	4	yes	maximal, complemented
5	C₁₃×#2163	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2162	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2150	C₂	1	2	yes	maximal, complemented
8	C₂×C₁₃×C₄⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×C₁₃×#41	C₄	1	1	yes	characteristic
10	C₂×C₁₃×M₃₂	C₂²	1	4	yes	—
11	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
12	C₈×Q₈×C₁₃	C₄	1	1	yes	characteristic
13	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
14	C₈×D₄×C₁₃	C₄	1	1	yes	characteristic
15	C₈×D₄×C₁₃	C₄	1	2	yes	—
16	C₈×D₄×C₁₃	C₂²	1	2	yes	—
17	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
18	C₁₃×#431	C₄	1	2	yes	—
19	C₁₃×#431	C₄	1	1	yes	characteristic
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₈×C₁₃	C₂²	1	2	yes	—
22	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
23	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
24	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
25	C₁₃×C₄⋊C₁₆	C₂²	1	4	yes	—
26	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
27	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
28	C₁₃×C₂²⋊C₁₆	C₂²	1	4	yes	—
29	C₁₃×#346	C₂²	1	4	yes	—
30	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
31	C₂×C₁₃×#41	C₈	1	1	yes	characteristic
32	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
34	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
35	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
36	C₄×Q₈×C₁₃	C₈	1	1	yes	characteristic
37	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
38	C₄×D₄×C₁₃	C₈	1	2	yes	—
39	C₄×D₄×C₁₃	C₈	1	1	yes	characteristic
40	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
41	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₁₃×#117	C₈	1	2	yes	—
43	C₁₃×#117	C₈	1	1	yes	characteristic
44	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
46	C₁₃×M₃₂	—	4	4	no	—
47	C₂×C₁₃×C₁₆	—	4	2	no	—
48	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
49	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
50	C₂×C₁₃×C₁₆	C₂³	1	4	yes	—
51	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
52	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
53	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
54	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
55	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
56	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
57	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
58	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
59	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
60	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
61	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
62	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
63	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
64	C₄×C₈×C₁₃	C₂³	1	2	yes	—
65	#33503	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
66	C₁₃×#41	—	2	4	no	—
67	C₂×Q₈×C₁₃	C₂×C₈	1	1	yes	characteristic
68	C₂×D₄×C₁₃	C₂×C₈	1	2	yes	—
69	C₂×D₄×C₁₃	C₂×C₈	1	1	yes	characteristic
70	C₂²×C₄×C₁₃	C₂×C₈	1	2	yes	—
71	C₂²×C₄×C₁₃	C₂×C₈	1	2	yes	—
72	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
75	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
76	C₂×C₈×C₁₃	—	2	1	no	—
77	C₂×C₈×C₁₃	—	2	2	no	—
78	C₂×C₈×C₁₃	—	2	1	no	—
79	C₂×C₈×C₁₃	—	2	2	no	—
80	C₂×C₈×C₁₃	—	4	1	no	—
81	C₂×C₈×C₁₃	—	4	2	no	—
82	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
83	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
84	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
85	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
87	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
88	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
89	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
90	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
91	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
92	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
93	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
94	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
95	C₄²×C₁₃	C₂×C₈	1	2	yes	—
96	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
97	C₄²×C₁₃	C₂×C₈	1	2	yes	—
98	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
99	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
101	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
102	C₁₃×C₁₆	—	2	4	no	—
103	C₁₃×C₁₆	—	2	2	no	—
104	C₁₃×C₁₆	—	2	2	no	—
105	C₈×#41	C₂×C₁₃	1	1	yes	characteristic
106	#2183	C₂×C₁₃	1	2	yes	complemented
107	#2169	C₂×C₁₃	1	2	yes	complemented
108	#2168	C₂×C₁₃	1	4	yes	complemented
109	#2163	C₂×C₁₃	1	2	yes	complemented
110	#2162	C₂×C₁₃	1	1	yes	characteristic, complemented
111	#2150	C₂×C₁₃	1	2	yes	complemented
112	C₂×C₄⋊C₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
113	C₂³×C₁₃	C₂²×C₈	1	2	yes	—
114	C₂³×C₁₃	C₂²×C₈	1	1	yes	characteristic
115	Q₈×C₁₃	—	2	2	no	—
116	D₄×C₁₃	—	2	4	no	—
117	D₄×C₁₃	—	2	2	no	—
118	C₂×C₄×C₁₃	—	2	1	no	—
119	C₂×C₄×C₁₃	—	2	2	no	—
120	C₂×C₄×C₁₃	—	2	1	no	—
121	C₂×C₄×C₁₃	—	2	2	no	—
122	C₂×C₄×C₁₃	—	2	4	no	—
123	C₂×C₄×C₁₃	—	4	1	no	—
124	C₂×C₄×C₁₃	—	4	2	no	—
125	C₂×C₄×C₁₃	M₃₂	1	4	yes	complemented
126	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
127	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
128	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
129	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
130	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
131	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
132	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
133	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
134	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
135	C₈×C₁₃	—	2	1	no	—
136	C₈×C₁₃	—	2	2	no	—
137	C₈×C₁₃	—	2	1	no	—
138	C₈×C₁₃	—	2	1	no	—
139	C₈×C₁₃	—	2	2	no	—
140	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
141	C₈×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
142	C₄×#41	C₄×C₁₃	1	1	yes	characteristic
143	C₂×M₃₂	C₂²×C₁₃	1	4	yes	—
144	C₂²×C₁₆	C₂²×C₁₃	1	2	yes	—
145	C₈×Q₈	C₄×C₁₃	1	1	yes	characteristic
146	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
147	C₈×D₄	C₄×C₁₃	1	1	yes	characteristic
148	C₈×D₄	C₄×C₁₃	1	2	yes	—
149	C₈×D₄	C₂²×C₁₃	1	2	yes	—
150	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
151	#431	C₄×C₁₃	1	2	yes	—
152	#431	C₄×C₁₃	1	1	yes	characteristic
153	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
154	C₂×C₄×C₈	C₂²×C₁₃	1	2	yes	—
155	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
156	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
157	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
158	C₄⋊C₁₆	C₂²×C₁₃	1	4	yes	—
159	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
160	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
161	C₂²⋊C₁₆	C₂²×C₁₃	1	4	yes	—
162	#346	C₂²×C₁₃	1	4	yes	—
163	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
164	C₂²×C₁₃	—	2	1	no	—
165	C₂²×C₁₃	—	2	1	no	—
166	C₂²×C₁₃	—	2	2	no	—
167	C₂²×C₁₃	—	2	2	no	—
168	C₂²×C₁₃	—	2	2	no	—
169	C₂²×C₁₃	C₂×M₃₂	1	2	yes	—
170	C₂²×C₁₃	C₂³×C₈	1	1	yes	characteristic
171	C₄×C₁₃	—	2	2	no	—
172	C₄×C₁₃	—	2	1	no	—
173	C₄×C₁₃	—	2	1	no	—
174	C₄×C₁₃	—	2	2	no	—
175	C₄×C₁₃	—	2	1	no	—
176	C₄×C₁₃	—	2	2	no	—
177	C₄×C₁₃	C₂×M₃₂	1	2	yes	—
178	C₄×C₁₃	C₂×M₃₂	1	2	yes	—
179	C₄×C₁₃	#520	1	1	yes	characteristic
180	C₄×C₁₃	#568	1	1	yes	characteristic
181	C₂×#41	C₈×C₁₃	1	1	yes	characteristic
182	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
183	C₂²×C₈	C₂×C₄×C₁₃	1	2	yes	—
184	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
185	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
186	C₄×Q₈	C₈×C₁₃	1	1	yes	characteristic
187	C₄×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic
188	C₄×D₄	C₈×C₁₃	1	2	yes	—
189	C₄×D₄	C₈×C₁₃	1	1	yes	characteristic
190	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
191	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
192	#117	C₈×C₁₃	1	2	yes	—
193	#117	C₈×C₁₃	1	1	yes	characteristic
194	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
195	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
196	M₃₂	—	4	4	no	—
197	C₂×C₁₆	—	4	2	no	—
198	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
199	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
200	C₂×C₁₆	C₂³×C₁₃	1	4	yes	—
201	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
202	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
203	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
204	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
205	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
206	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
207	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
208	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
209	C₄×C₈	C₂×C₄×C₁₃	1	2	yes	—
210	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
211	C₄×C₈	C₂×C₄×C₁₃	1	2	yes	—
212	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
213	C₄×C₈	C₂³×C₁₃	1	2	yes	—
214	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
215	C₂×C₁₃	—	2	2	no	—
216	C₂×C₁₃	—	4	2	no	—
217	C₂×C₁₃	#2988	1	1	yes	characteristic
218	C₂×C₁₃	C₂²×M₃₂	1	1	yes	characteristic
219	C₂×C₁₃	#3407	1	1	yes	characteristic
220	#41	—	2	4	no	—
221	C₂×Q₈	C₂×C₈×C₁₃	1	1	yes	characteristic
222	C₂×D₄	C₂×C₈×C₁₃	1	2	yes	—
223	C₂×D₄	C₂×C₈×C₁₃	1	1	yes	characteristic
224	C₂²×C₄	C₂×C₈×C₁₃	1	2	yes	—
225	C₂²×C₄	C₂×C₈×C₁₃	1	2	yes	—
226	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
227	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
228	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
229	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
230	C₂×C₈	—	2	1	no	—
231	C₂×C₈	—	2	2	no	—
232	C₂×C₈	—	2	1	no	—
233	C₂×C₈	—	2	2	no	—
234	C₂×C₈	—	4	1	no	—
235	C₂×C₈	—	4	2	no	—
236	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
237	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
238	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
239	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
240	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
241	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
242	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
243	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
244	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
245	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
246	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
247	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
248	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
249	C₄²	C₂×C₈×C₁₃	1	2	yes	—
250	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
251	C₄²	C₂×C₈×C₁₃	1	2	yes	—
252	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
253	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
254	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
255	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
256	C₁₆	—	2	4	no	—
257	C₁₆	—	2	2	no	—
258	C₁₆	—	2	2	no	—
259	C₁₃	#33503	1	1	yes	characteristic, direct product factor, Sylow
260	C₂³	C₂²×C₈×C₁₃	1	2	yes	—
261	C₂³	C₂²×C₈×C₁₃	1	1	yes	characteristic
262	Q₈	—	2	2	no	—
263	D₄	—	2	4	no	—
264	D₄	—	2	2	no	—
265	C₂×C₄	—	2	4	no	—
266	C₂×C₄	—	2	1	no	—
267	C₂×C₄	—	2	2	no	—
268	C₂×C₄	—	2	1	no	—
269	C₂×C₄	—	2	2	no	—
270	C₂×C₄	—	4	1	no	—
271	C₂×C₄	—	4	2	no	—
272	C₂×C₄	C₁₃×M₃₂	1	4	yes	complemented
273	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
274	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
275	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
276	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
277	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
278	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
279	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
280	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
281	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
282	C₈	—	2	1	no	—
283	C₈	—	2	2	no	—
284	C₈	—	2	1	no	—
285	C₈	—	2	1	no	—
286	C₈	—	2	2	no	—
287	C₈	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
288	C₈	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
289	C₂²	—	2	1	no	—
290	C₂²	—	2	1	no	—
291	C₂²	—	2	2	no	—
292	C₂²	—	2	2	no	—
293	C₂²	—	2	2	no	—
294	C₂²	C₂×C₁₃×M₃₂	1	2	yes	—
295	C₂²	C₂³×C₈×C₁₃	1	1	yes	characteristic
296	C₄	—	2	2	no	—
297	C₄	—	2	1	no	—
298	C₄	—	2	1	no	—
299	C₄	—	2	2	no	—
300	C₄	—	2	1	no	—
301	C₄	—	2	2	no	—
302	C₄	C₂×C₁₃×M₃₂	1	2	yes	—
303	C₄	C₂×C₁₃×M₃₂	1	2	yes	—
304	C₄	C₁₃×#520	1	1	yes	characteristic
305	C₄	C₁₃×#568	1	1	yes	characteristic
306	C₂	—	2	2	no	—
307	C₂	—	4	2	no	—
308	C₂	C₁₃×#2988	1	1	yes	characteristic
309	C₂	C₂²×C₁₃×M₃₂	1	1	yes	characteristic
310	C₂	C₁₃×#3407	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈×C₁₃	C₂⁴
commutator	C₂²	C₂³×C₈×C₁₃
Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
socle	C₂²×C₁₃	C₂³×C₈
prime radical	C₂×C₁₃×#41	C₈
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2183	C₂	semidirect
3. C₁₃×#2169	C₂	semidirect
4. C₁₃×#2168	C₂	semidirect
5. C₁₃×#2163	C₂	semidirect
6. C₁₃×#2162	C₂	semidirect
7. C₁₃×#2150	C₂	semidirect
8. C₂×C₁₃×C₄⋊C₁₆	C₂	semidirect
65. #33503	C₁₃	direct (N × H)
106. #2183	C₂×C₁₃	semidirect
107. #2169	C₂×C₁₃	semidirect
108. #2168	C₂×C₁₃	semidirect
109. #2163	C₂×C₁₃	semidirect
110. #2162	C₂×C₁₃	semidirect
111. #2150	C₂×C₁₃	semidirect
112. C₂×C₄⋊C₁₆	C₂×C₁₃	semidirect
125. C₂×C₄×C₁₃	M₃₂	semidirect
259. C₁₃	#33503	direct (N × H)
272. C₂×C₄	C₁₃×M₃₂	semidirect

Maximal subgroups

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

subgroup	index
C₈×C₁₃×#41	2
C₁₃×#2183	2
C₁₃×#2169	2
C₁₃×#2168	2
C₁₃×#2163	2
C₁₃×#2162	2
C₁₃×#2150	2
C₂×C₁₃×C₄⋊C₁₆	2
#33503	13

Subgroups — C13×#33503 #15719842

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33503 #15719842