Subgroups — C₁₃×#22657 #15708996

Order 3328.

982 conjugacy classes of subgroups.

The subgroup lattice has 338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₈×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#427	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2354	C₂	1	2	yes	maximal
4	C₁₃×#1947	C₂	1	2	yes	maximal, complemented
5	C₁₃×#1854	C₂	1	4	yes	maximal, complemented
6	C₁₃×#1844	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1807	C₂	1	2	yes	maximal, complemented
8	C₄×C₁₃×#106	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×C₈×C₁₃	C₂²	1	2	yes	—
10	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#117	C₂²	1	4	yes	—
12	C₈×D₄×C₁₃	C₄	1	8	yes	complemented
13	C₁₃×#427	—	2	8	no	—
14	C₂×C₁₃×#107	C₂²	1	4	yes	—
15	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#106	C₂²	1	2	yes	—
17	C₂×C₁₃×#106	C₂²	1	2	yes	—
18	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
21	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₁₃×#390	—	2	2	no	—
23	C₁₃×#388	—	2	4	no	—
24	C₁₃×#384	C₂²	1	2	yes	—
25	C₁₃×#380	C₂²	1	4	yes	—
26	C₄×C₁₃×C₄⋊C₄	—	2	2	no	—
27	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
28	C₁₃×#340	C₂²	1	2	yes	—
29	C₁₃×#340	C₂²	1	4	yes	—
30	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
32	C₂²×C₈×C₁₃	—	2	4	no	—
33	C₂²×C₈×C₁₃	—	2	4	no	—
34	C₂²×C₈×C₁₃	C₂×C₄	1	8	yes	—
35	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
36	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
37	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
38	C₄×D₄×C₁₃	C₂×C₄	1	4	yes	—
39	C₄×D₄×C₁₃	Q₈	1	4	yes	—
40	C₁₃×#117	—	2	8	no	—
41	C₁₃×#117	—	4	4	no	—
42	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
43	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
44	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
45	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
46	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
47	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
48	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
49	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
50	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
51	C₂×C₄²×C₁₃	—	2	2	no	—
52	C₂×C₄²×C₁₃	—	2	4	no	—
53	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
54	C₁₃×#107	—	2	8	no	—
55	C₁₃×#106	—	2	4	no	—
56	C₁₃×#106	—	2	2	no	—
57	C₁₃×#106	—	4	2	no	—
58	C₁₃×#106	D₄	1	4	yes	complemented
59	C₁₃×C₄⋊C₈	C₂×C₄	1	4	yes	—
60	C₁₃×C₂²⋊C₈	C₂×C₄	1	8	yes	—
61	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	—
62	C₁₃×#95	—	2	4	no	—
63	C₁₃×#95	—	2	2	no	—
64	#22657	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
65	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
66	C₂×D₄×C₁₃	—	2	4	no	—
67	C₂×D₄×C₁₃	C₄⋊C₄	1	4	yes	—
68	C₂²×C₄×C₁₃	—	2	2	no	—
69	C₂²×C₄×C₁₃	—	2	2	no	—
70	C₂²×C₄×C₁₃	—	2	2	no	—
71	C₂²×C₄×C₁₃	—	2	2	no	—
72	C₂²×C₄×C₁₃	—	2	2	no	—
73	C₂²×C₄×C₁₃	—	2	2	no	—
74	C₂²×C₄×C₁₃	—	2	4	no	—
75	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
76	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
77	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	—
80	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
81	C₂×C₈×C₁₃	—	2	2	no	—
82	C₂×C₈×C₁₃	—	2	2	no	—
83	C₂×C₈×C₁₃	—	2	1	no	—
84	C₂×C₈×C₁₃	—	2	1	no	—
85	C₂×C₈×C₁₃	—	2	16	no	—
86	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
87	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
88	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
89	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
90	C₂×C₈×C₁₃	#41	1	2	yes	—
91	C₁₃×C₄⋊C₄	—	2	2	no	—
92	C₁₃×C₄⋊C₄	—	2	4	no	—
93	C₁₃×C₄⋊C₄	—	2	2	no	—
94	C₁₃×C₄⋊C₄	—	2	4	no	—
95	C₁₃×C₄⋊C₄	—	2	2	no	—
96	C₁₃×C₄⋊C₄	—	4	4	no	—
97	C₁₃×C₄⋊C₄	—	8	2	no	—
98	C₁₃×C₄⋊C₄	C₄⋊C₄	1	4	yes	—
99	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
100	C₁₃×C₂²⋊C₄	—	4	8	no	—
101	C₁₃×C₂²⋊C₄	—	8	4	no	—
102	C₁₃×C₂²⋊C₄	C₄⋊C₄	1	8	yes	—
103	C₄²×C₁₃	—	4	8	no	—
104	C₄²×C₁₃	—	4	4	no	—
105	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
106	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
107	C₂×C₈×D₄	C₂×C₁₃	1	1	yes	characteristic
108	C₂×#427	C₂×C₁₃	1	2	yes	complemented
109	#2354	C₂×C₁₃	1	2	yes	—
110	#1947	C₂×C₁₃	1	2	yes	complemented
111	#1854	C₂×C₁₃	1	4	yes	complemented
112	#1844	C₂×C₁₃	1	1	yes	characteristic, complemented
113	#1807	C₂×C₁₃	1	2	yes	complemented
114	C₄×#106	C₂×C₁₃	1	1	yes	characteristic, complemented
115	C₂³×C₁₃	—	2	2	no	—
116	C₂³×C₁₃	—	2	2	no	—
117	C₂³×C₁₃	—	2	4	no	—
118	C₂³×C₁₃	—	2	4	no	—
119	C₂³×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
120	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
121	D₄×C₁₃	—	2	8	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	4	no	—
126	C₂×C₄×C₁₃	—	2	4	no	—
127	C₂×C₄×C₁₃	—	2	4	no	—
128	C₂×C₄×C₁₃	—	2	4	no	—
129	C₂×C₄×C₁₃	—	2	4	no	—
130	C₂×C₄×C₁₃	—	4	2	no	—
131	C₂×C₄×C₁₃	—	4	2	no	—
132	C₂×C₄×C₁₃	—	4	4	no	—
133	C₂×C₄×C₁₃	—	4	2	no	—
134	C₂×C₄×C₁₃	—	4	2	no	—
135	C₂×C₄×C₁₃	—	4	4	no	—
136	C₂×C₄×C₁₃	—	4	2	no	—
137	C₂×C₄×C₁₃	—	4	4	no	—
138	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
139	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
140	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
141	C₂×C₄×C₁₃	#135	1	4	yes	—
142	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
143	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
145	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
146	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
147	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
148	C₈×C₁₃	—	2	4	no	—
149	C₈×C₁₃	—	2	2	no	—
150	C₈×C₁₃	C₄×D₄	1	4	yes	—
151	C₂³×C₈	C₂²×C₁₃	1	2	yes	—
152	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
153	C₂×#117	C₂²×C₁₃	1	4	yes	—
154	C₈×D₄	C₄×C₁₃	1	8	yes	complemented
155	#427	—	2	8	no	—
156	C₂×#107	C₂²×C₁₃	1	4	yes	—
157	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
158	C₂×#106	C₂²×C₁₃	1	2	yes	—
159	C₂×#106	C₂²×C₁₃	1	2	yes	—
160	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
161	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
162	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
163	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
164	#390	—	2	2	no	—
165	#388	—	2	4	no	—
166	#384	C₂²×C₁₃	1	2	yes	—
167	#380	C₂²×C₁₃	1	4	yes	—
168	C₄×C₄⋊C₄	—	2	2	no	—
169	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
170	#340	C₂²×C₁₃	1	4	yes	—
171	#340	C₂²×C₁₃	1	2	yes	—
172	C₂²×C₁₃	—	2	4	no	—
173	C₂²×C₁₃	—	2	4	no	—
174	C₂²×C₁₃	—	2	4	no	—
175	C₂²×C₁₃	—	4	4	no	—
176	C₂²×C₁₃	—	4	4	no	—
177	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
178	C₂²×C₁₃	D₄²	1	1	yes	characteristic
179	C₂²×C₁₃	#547	1	1	yes	characteristic
180	C₂²×C₁₃	C₂×#135	1	2	yes	—
181	C₂²×C₁₃	#577	1	2	yes	—
182	C₄×C₁₃	—	2	4	no	—
183	C₄×C₁₃	—	2	2	no	—
184	C₄×C₁₃	—	4	4	no	—
185	C₄×C₁₃	—	8	2	no	—
186	C₄×C₁₃	—	8	4	no	—
187	C₄×C₁₃	#427	1	4	yes	complemented
188	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
189	C₄×C₁₃	#520	1	1	yes	characteristic
190	C₄×C₁₃	D₄×Q₈	1	1	yes	characteristic
191	C₄×C₁₃	#554	1	1	yes	characteristic
192	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
193	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
194	C₂²×C₈	—	2	4	no	—
195	C₂²×C₈	—	2	4	no	—
196	C₂²×C₈	C₂×C₄×C₁₃	1	8	yes	—
197	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
198	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
199	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
200	C₄×D₄	C₂×C₄×C₁₃	1	4	yes	—
201	C₄×D₄	Q₈×C₁₃	1	4	yes	—
202	#117	—	2	8	no	—
203	#117	—	4	4	no	—
204	C₂×C₄⋊C₄	—	2	2	no	—
205	C₂×C₄⋊C₄	—	2	2	no	—
206	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
207	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
208	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
209	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
210	C₂×C₂²⋊C₄	—	2	4	no	—
211	C₂×C₂²⋊C₄	—	2	4	no	—
212	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
213	C₂×C₄²	—	2	4	no	—
214	C₂×C₄²	—	2	2	no	—
215	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
216	#107	—	2	8	no	—
217	#106	—	2	4	no	—
218	#106	—	2	2	no	—
219	#106	—	4	2	no	—
220	#106	D₄×C₁₃	1	4	yes	complemented
221	C₄⋊C₈	C₂×C₄×C₁₃	1	4	yes	—
222	C₂²⋊C₈	C₂×C₄×C₁₃	1	8	yes	—
223	C₄×C₈	C₂×C₄×C₁₃	1	4	yes	—
224	#95	—	2	4	no	—
225	#95	—	2	2	no	—
226	C₂×C₁₃	—	4	4	no	—
227	C₂×C₁₃	D₄×C₄⋊C₄	1	1	yes	characteristic
228	C₂×C₁₃	C₂×#427	1	1	yes	characteristic
229	C₂×C₁₃	#2912	1	1	yes	characteristic
230	C₂×C₁₃	#3284	1	2	yes	—
231	C₂×C₁₃	#3340	1	2	yes	—
232	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
233	C₂×D₄	—	2	4	no	—
234	C₂×D₄	C₁₃×C₄⋊C₄	1	4	yes	—
235	C₂²×C₄	—	2	2	no	—
236	C₂²×C₄	—	2	2	no	—
237	C₂²×C₄	—	2	2	no	—
238	C₂²×C₄	—	2	2	no	—
239	C₂²×C₄	—	2	2	no	—
240	C₂²×C₄	—	2	2	no	—
241	C₂²×C₄	—	2	4	no	—
242	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
243	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
244	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
245	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
246	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	—
247	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
248	C₂×C₈	—	2	2	no	—
249	C₂×C₈	—	2	2	no	—
250	C₂×C₈	—	2	1	no	—
251	C₂×C₈	—	2	1	no	—
252	C₂×C₈	—	2	16	no	—
253	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
254	C₂×C₈	C₂²×C₄×C₁₃	1	4	yes	—
255	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
256	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
257	C₂×C₈	C₁₃×#41	1	2	yes	—
258	C₄⋊C₄	—	2	2	no	—
259	C₄⋊C₄	—	2	4	no	—
260	C₄⋊C₄	—	2	2	no	—
261	C₄⋊C₄	—	2	4	no	—
262	C₄⋊C₄	—	2	2	no	—
263	C₄⋊C₄	—	4	4	no	—
264	C₄⋊C₄	—	8	2	no	—
265	C₄⋊C₄	C₁₃×C₄⋊C₄	1	4	yes	—
266	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
267	C₂²⋊C₄	—	4	8	no	—
268	C₂²⋊C₄	—	8	4	no	—
269	C₂²⋊C₄	C₁₃×C₄⋊C₄	1	8	yes	—
270	C₄²	—	4	8	no	—
271	C₄²	—	4	4	no	—
272	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
273	C₄²	C₂×Q₈×C₁₃	1	2	yes	—
274	C₁₃	#22657	1	1	yes	characteristic, direct product factor, Sylow
275	C₂³	—	2	2	no	—
276	C₂³	—	2	2	no	—
277	C₂³	—	2	4	no	—
278	C₂³	—	2	4	no	—
279	C₂³	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
280	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
281	D₄	—	2	8	no	—
282	C₂×C₄	—	2	2	no	—
283	C₂×C₄	—	2	2	no	—
284	C₂×C₄	—	2	2	no	—
285	C₂×C₄	—	2	4	no	—
286	C₂×C₄	—	2	4	no	—
287	C₂×C₄	—	2	4	no	—
288	C₂×C₄	—	2	4	no	—
289	C₂×C₄	—	2	4	no	—
290	C₂×C₄	—	4	2	no	—
291	C₂×C₄	—	4	2	no	—
292	C₂×C₄	—	4	4	no	—
293	C₂×C₄	—	4	2	no	—
294	C₂×C₄	—	4	2	no	—
295	C₂×C₄	—	4	4	no	—
296	C₂×C₄	—	4	2	no	—
297	C₂×C₄	—	4	4	no	—
298	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
299	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
300	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
301	C₂×C₄	C₁₃×#135	1	4	yes	—
302	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
303	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
304	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
305	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
306	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
307	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
308	C₈	—	2	4	no	—
309	C₈	—	2	2	no	—
310	C₈	C₄×D₄×C₁₃	1	4	yes	—
311	C₂²	—	2	4	no	—
312	C₂²	—	2	4	no	—
313	C₂²	—	2	4	no	—
314	C₂²	—	4	4	no	—
315	C₂²	—	4	4	no	—
316	C₂²	C₂²×C₁₃×C₄⋊C₄	1	1	yes	characteristic
317	C₂²	D₄²×C₁₃	1	1	yes	characteristic
318	C₂²	C₁₃×#547	1	1	yes	characteristic
319	C₂²	C₂×C₁₃×#135	1	2	yes	—
320	C₂²	C₁₃×#577	1	2	yes	—
321	C₄	—	2	4	no	—
322	C₄	—	2	2	no	—
323	C₄	—	4	4	no	—
324	C₄	—	8	4	no	—
325	C₄	—	8	2	no	—
326	C₄	C₁₃×#427	1	4	yes	complemented
327	C₄	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
328	C₄	C₁₃×#520	1	1	yes	characteristic
329	C₄	D₄×Q₈×C₁₃	1	1	yes	characteristic
330	C₄	C₁₃×#554	1	1	yes	characteristic
331	C₂	—	4	4	no	—
332	C₂	D₄×C₁₃×C₄⋊C₄	1	1	yes	characteristic
333	C₂	C₂×C₁₃×#427	1	1	yes	characteristic
334	C₂	C₁₃×#2912	1	1	yes	characteristic
335	C₂	C₁₃×#3284	1	2	yes	—
336	C₂	C₁₃×#3340	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂²×D₄×C₁₃	D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₃×#427	C₂	semidirect
4. C₁₃×#1947	C₂	semidirect
5. C₁₃×#1854	C₂	semidirect
6. C₁₃×#1844	C₂	semidirect
7. C₁₃×#1807	C₂	semidirect
8. C₄×C₁₃×#106	C₂	semidirect
12. C₈×D₄×C₁₃	C₄	semidirect
58. C₁₃×#106	D₄	semidirect
64. #22657	C₁₃	direct (N × H)
108. C₂×#427	C₂×C₁₃	semidirect
110. #1947	C₂×C₁₃	semidirect
111. #1854	C₂×C₁₃	semidirect
112. #1844	C₂×C₁₃	semidirect
113. #1807	C₂×C₁₃	semidirect
114. C₄×#106	C₂×C₁₃	semidirect
154. C₈×D₄	C₄×C₁₃	semidirect
187. C₄×C₁₃	#427	semidirect
220. #106	D₄×C₁₃	semidirect
274. C₁₃	#22657	direct (N × H)
326. C₄	C₁₃×#427	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₈×D₄×C₁₃	2
C₂×C₁₃×#427	2
C₁₃×#2354	2
C₁₃×#1947	2
C₁₃×#1854	2
C₁₃×#1844	2
C₁₃×#1807	2
C₄×C₁₃×#106	2
#22657	13

Subgroups — C13×#22657 #15708996

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#22657 #15708996