Subgroups — C₁₃×#32830 #15719169

Order 3328.

612 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2647	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2640	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2096	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2094	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#2074	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2073	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#2066	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2065	C₂	1	2	yes	maximal
9	C₁₃×#2058	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2042	C₂	1	2	yes	maximal
11	C₁₃×#1832	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
14	C₂×C₁₃×#106	C₂²	1	2	yes	—
15	C₂×C₁₃×#106	C₂²	1	2	yes	—
16	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
17	C₂×C₁₃×#103	C₂²	1	2	yes	—
18	C₂×C₁₃×#103	C₂²	1	2	yes	—
19	C₂×C₁₃×#102	C₂²	1	2	yes	—
20	C₂×C₁₃×#102	C₂²	1	2	yes	—
21	C₁₃×#400	—	2	2	no	—
22	C₁₃×#398	—	2	2	no	—
23	C₁₃×#397	—	2	2	no	—
24	C₁₃×#393	—	2	2	no	—
25	C₁₃×#391	C₂²	1	1	yes	characteristic
26	C₁₃×#391	C₂²	1	1	yes	characteristic
27	C₁₃×#390	C₂²	1	1	yes	characteristic
28	C₁₃×#390	C₂²	1	1	yes	characteristic
29	C₁₃×#389	C₂²	1	2	yes	—
30	C₁₃×#389	C₂²	1	2	yes	—
31	C₁₃×#384	C₂²	1	1	yes	characteristic
32	C₁₃×#382	C₂²	1	1	yes	characteristic
33	C₁₃×#376	C₂²	1	1	yes	characteristic
34	C₁₃×#340	C₂²	1	2	yes	—
35	C₁₃×#340	C₂²	1	2	yes	—
36	C₁₃×#336	C₂²	1	2	yes	—
37	C₁₃×#336	C₂²	1	1	yes	characteristic
38	C₁₃×#336	C₂²	1	1	yes	characteristic
39	C₂²×Q₈×C₁₃	—	2	1	no	—
40	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
41	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
43	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
44	C₁₃×C₄⋊Q₈	—	4	2	no	—
45	C₁₃×#124	—	4	2	no	—
46	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
47	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
48	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
49	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
50	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
51	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
52	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
53	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
54	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
55	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
56	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
57	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
58	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
61	C₁₃×#106	—	4	2	no	—
62	C₁₃×#106	—	4	2	no	—
63	C₁₃×C₄⋊C₈	—	4	2	no	—
64	C₁₃×#103	—	4	2	no	—
65	C₁₃×#103	—	4	2	no	—
66	C₁₃×#102	—	4	2	no	—
67	C₁₃×#102	—	4	2	no	—
68	C₁₃×#95	—	2	2	no	—
69	C₁₃×#95	—	2	2	no	—
70	C₁₃×#95	—	2	2	no	—
71	C₁₃×#95	—	2	2	no	—
72	C₁₃×#95	—	2	2	no	—
73	C₁₃×#95	D₄	1	2	yes	—
74	C₁₃×#95	D₄	1	2	yes	—
75	#32830	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
76	C₂⁴×C₁₃	—	2	1	no	—
77	C₂×Q₈×C₁₃	—	2	1	no	—
78	C₂×Q₈×C₁₃	—	2	2	no	—
79	C₂×Q₈×C₁₃	—	2	2	no	—
80	C₂×Q₈×C₁₃	—	2	1	no	—
81	C₂×Q₈×C₁₃	—	4	2	no	—
82	C₂×Q₈×C₁₃	—	8	2	no	—
83	C₂×D₄×C₁₃	—	2	1	no	—
84	C₂×D₄×C₁₃	—	2	2	no	—
85	C₂×D₄×C₁₃	—	2	2	no	—
86	C₂×D₄×C₁₃	—	2	1	no	—
87	C₂²×C₄×C₁₃	—	2	1	no	—
88	C₂²×C₄×C₁₃	—	2	2	no	—
89	C₂²×C₄×C₁₃	—	2	1	no	—
90	C₂²×C₄×C₁₃	—	2	1	no	—
91	C₂²×C₄×C₁₃	—	2	2	no	—
92	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
97	C₂×C₈×C₁₃	—	2	2	no	—
98	C₂×C₈×C₁₃	—	2	2	no	—
99	C₂×C₈×C₁₃	—	2	2	no	—
100	C₂×C₈×C₁₃	—	2	2	no	—
101	C₂×C₈×C₁₃	—	2	2	no	—
102	C₂×C₈×C₁₃	—	2	2	no	—
103	C₁₃×C₄⋊C₄	—	2	2	no	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	—	2	2	no	—
106	C₁₃×C₄⋊C₄	—	2	2	no	—
107	C₁₃×C₄⋊C₄	—	2	2	no	—
108	C₁₃×C₄⋊C₄	—	2	2	no	—
109	C₁₃×C₄⋊C₄	—	4	2	no	—
110	C₁₃×C₄⋊C₄	—	8	2	no	—
111	C₁₃×C₄⋊C₄	—	8	2	no	—
112	C₁₃×C₄⋊C₄	—	8	2	no	—
113	C₁₃×C₂²⋊C₄	—	4	2	no	—
114	C₁₃×C₂²⋊C₄	—	4	2	no	—
115	C₁₃×C₂²⋊C₄	—	8	2	no	—
116	C₁₃×C₂²⋊C₄	—	8	2	no	—
117	C₄²×C₁₃	—	2	1	no	—
118	C₄²×C₁₃	—	2	2	no	—
119	C₄²×C₁₃	—	2	2	no	—
120	C₄²×C₁₃	—	2	1	no	—
121	#2647	C₂×C₁₃	1	1	yes	characteristic, complemented
122	#2640	C₂×C₁₃	1	1	yes	characteristic
123	#2096	C₂×C₁₃	1	1	yes	characteristic, complemented
124	#2094	C₂×C₁₃	1	1	yes	characteristic
125	#2074	C₂×C₁₃	1	1	yes	characteristic, complemented
126	#2073	C₂×C₁₃	1	1	yes	characteristic
127	#2066	C₂×C₁₃	1	2	yes	complemented
128	#2065	C₂×C₁₃	1	2	yes	—
129	#2058	C₂×C₁₃	1	2	yes	complemented
130	#2042	C₂×C₁₃	1	2	yes	—
131	#1832	C₂×C₁₃	1	1	yes	characteristic, complemented
132	C₂³×C₁₃	—	4	1	no	—
133	C₂³×C₁₃	—	4	1	no	—
134	C₂³×C₁₃	—	4	1	no	—
135	C₂³×C₁₃	—	4	2	no	—
136	C₂³×C₁₃	—	4	2	no	—
137	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
138	Q₈×C₁₃	—	4	2	no	—
139	Q₈×C₁₃	—	4	2	no	—
140	Q₈×C₁₃	—	8	4	no	—
141	D₄×C₁₃	—	4	2	no	—
142	D₄×C₁₃	—	4	2	no	—
143	C₂×C₄×C₁₃	—	2	1	no	—
144	C₂×C₄×C₁₃	—	2	1	no	—
145	C₂×C₄×C₁₃	—	2	2	no	—
146	C₂×C₄×C₁₃	—	2	2	no	—
147	C₂×C₄×C₁₃	—	2	2	no	—
148	C₂×C₄×C₁₃	—	2	2	no	—
149	C₂×C₄×C₁₃	—	2	2	no	—
150	C₂×C₄×C₁₃	—	2	2	no	—
151	C₂×C₄×C₁₃	—	2	2	no	—
152	C₂×C₄×C₁₃	—	2	2	no	—
153	C₂×C₄×C₁₃	—	4	1	no	—
154	C₂×C₄×C₁₃	—	4	1	no	—
155	C₂×C₄×C₁₃	—	4	1	no	—
156	C₂×C₄×C₁₃	—	4	2	no	—
157	C₂×C₄×C₁₃	—	4	1	no	—
158	C₂×C₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	—	4	1	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	—	4	2	no	—
163	C₂×C₄×C₁₃	—	4	2	no	—
164	C₂×C₄×C₁₃	—	4	2	no	—
165	C₂×C₄×C₁₃	—	4	2	no	—
166	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
167	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
168	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
169	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
170	C₈×C₁₃	—	4	2	no	—
171	C₈×C₁₃	—	4	2	no	—
172	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
173	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
174	C₂×#106	C₂²×C₁₃	1	2	yes	—
175	C₂×#106	C₂²×C₁₃	1	2	yes	—
176	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
177	C₂×#103	C₂²×C₁₃	1	2	yes	—
178	C₂×#103	C₂²×C₁₃	1	2	yes	—
179	C₂×#102	C₂²×C₁₃	1	2	yes	—
180	C₂×#102	C₂²×C₁₃	1	2	yes	—
181	#400	—	2	2	no	—
182	#398	—	2	2	no	—
183	#397	—	2	2	no	—
184	#393	—	2	2	no	—
185	#391	C₂²×C₁₃	1	1	yes	characteristic
186	#391	C₂²×C₁₃	1	1	yes	characteristic
187	#390	C₂²×C₁₃	1	1	yes	characteristic
188	#390	C₂²×C₁₃	1	1	yes	characteristic
189	#389	C₂²×C₁₃	1	2	yes	—
190	#389	C₂²×C₁₃	1	2	yes	—
191	#384	C₂²×C₁₃	1	1	yes	characteristic
192	#382	C₂²×C₁₃	1	1	yes	characteristic
193	#376	C₂²×C₁₃	1	1	yes	characteristic
194	#340	C₂²×C₁₃	1	2	yes	—
195	#340	C₂²×C₁₃	1	2	yes	—
196	#336	C₂²×C₁₃	1	2	yes	—
197	#336	C₂²×C₁₃	1	1	yes	characteristic
198	#336	C₂²×C₁₃	1	1	yes	characteristic
199	C₂²×C₁₃	—	8	1	no	—
200	C₂²×C₁₃	—	8	1	no	—
201	C₂²×C₁₃	—	8	1	no	—
202	C₂²×C₁₃	—	8	2	no	—
203	C₂²×C₁₃	—	8	2	no	—
204	C₂²×C₁₃	#535	1	1	yes	characteristic
205	C₂²×C₁₃	#536	1	1	yes	characteristic
206	C₂²×C₁₃	#537	1	1	yes	characteristic
207	C₂²×C₁₃	#577	1	2	yes	—
208	C₂²×C₁₃	#577	1	2	yes	—
209	C₄×C₁₃	—	4	1	no	—
210	C₄×C₁₃	—	4	1	no	—
211	C₄×C₁₃	—	4	2	no	—
212	C₄×C₁₃	—	4	2	no	—
213	C₄×C₁₃	—	8	1	no	—
214	C₄×C₁₃	—	8	2	no	—
215	C₄×C₁₃	—	8	1	no	—
216	C₄×C₁₃	—	8	1	no	—
217	C₄×C₁₃	—	8	2	no	—
218	C₄×C₁₃	#562	1	2	yes	—
219	C₄×C₁₃	#563	1	2	yes	—
220	C₂²×Q₈	—	2	1	no	—
221	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
222	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
223	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
224	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
225	C₄⋊Q₈	—	4	2	no	—
226	#124	—	4	2	no	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	—	2	2	no	—
229	C₂×C₄⋊C₄	—	2	2	no	—
230	C₂×C₄⋊C₄	—	2	2	no	—
231	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
232	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
233	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
234	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
235	C₂×C₂²⋊C₄	—	2	1	no	—
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₂²⋊C₄	—	2	2	no	—
239	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
240	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
241	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
242	#106	—	4	2	no	—
243	#106	—	4	2	no	—
244	C₄⋊C₈	—	4	2	no	—
245	#103	—	4	2	no	—
246	#103	—	4	2	no	—
247	#102	—	4	2	no	—
248	#102	—	4	2	no	—
249	#95	—	2	2	no	—
250	#95	—	2	2	no	—
251	#95	—	2	2	no	—
252	#95	—	2	2	no	—
253	#95	—	2	2	no	—
254	#95	D₄×C₁₃	1	2	yes	—
255	#95	D₄×C₁₃	1	2	yes	—
256	C₂×C₁₃	—	16	1	no	—
257	C₂×C₁₃	#2820	1	1	yes	characteristic
258	C₂×C₁₃	#3221	1	1	yes	characteristic
259	C₂×C₁₃	#3222	1	1	yes	characteristic
260	C₂×C₁₃	#3244	1	2	yes	—
261	C₂×C₁₃	#3263	1	2	yes	—
262	C₂⁴	—	2	1	no	—
263	C₂×Q₈	—	2	1	no	—
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	1	no	—
267	C₂×Q₈	—	4	2	no	—
268	C₂×Q₈	—	8	2	no	—
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂²×C₄	—	2	1	no	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	—	2	1	no	—
276	C₂²×C₄	—	2	1	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
279	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
280	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
281	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
282	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	—	2	2	no	—
285	C₂×C₈	—	2	2	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₄⋊C₄	—	2	2	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	4	2	no	—
296	C₄⋊C₄	—	8	2	no	—
297	C₄⋊C₄	—	8	2	no	—
298	C₄⋊C₄	—	8	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	8	2	no	—
302	C₂²⋊C₄	—	8	2	no	—
303	C₄²	—	2	1	no	—
304	C₄²	—	2	2	no	—
305	C₄²	—	2	2	no	—
306	C₄²	—	2	1	no	—
307	C₁₃	#32830	1	1	yes	characteristic, direct product factor, Sylow
308	C₂³	—	4	1	no	—
309	C₂³	—	4	1	no	—
310	C₂³	—	4	1	no	—
311	C₂³	—	4	2	no	—
312	C₂³	—	4	2	no	—
313	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
314	Q₈	—	4	2	no	—
315	Q₈	—	4	2	no	—
316	Q₈	—	8	4	no	—
317	D₄	—	4	2	no	—
318	D₄	—	4	2	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
343	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
344	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
345	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
346	C₈	—	4	2	no	—
347	C₈	—	4	2	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	1	no	—
350	C₂²	—	8	1	no	—
351	C₂²	—	8	1	no	—
352	C₂²	—	8	2	no	—
353	C₂²	C₁₃×#535	1	1	yes	characteristic
354	C₂²	C₁₃×#536	1	1	yes	characteristic
355	C₂²	C₁₃×#537	1	1	yes	characteristic
356	C₂²	C₁₃×#577	1	2	yes	—
357	C₂²	C₁₃×#577	1	2	yes	—
358	C₄	—	4	2	no	—
359	C₄	—	4	1	no	—
360	C₄	—	4	1	no	—
361	C₄	—	4	2	no	—
362	C₄	—	8	2	no	—
363	C₄	—	8	1	no	—
364	C₄	—	8	2	no	—
365	C₄	—	8	1	no	—
366	C₄	—	8	1	no	—
367	C₄	C₁₃×#562	1	2	yes	—
368	C₄	C₁₃×#563	1	2	yes	—
369	C₂	—	16	1	no	—
370	C₂	C₁₃×#2820	1	1	yes	characteristic
371	C₂	C₁₃×#3221	1	1	yes	characteristic
372	C₂	C₁₃×#3222	1	1	yes	characteristic
373	C₂	C₁₃×#3244	1	2	yes	—
374	C₂	C₁₃×#3263	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂²×D₄×C₁₃	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₁₃×#376 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2647	C₂	semidirect
3. C₁₃×#2096	C₂	semidirect
5. C₁₃×#2074	C₂	semidirect
7. C₁₃×#2066	C₂	semidirect
9. C₁₃×#2058	C₂	semidirect
11. C₁₃×#1832	C₂	semidirect
75. #32830	C₁₃	direct (N × H)
121. #2647	C₂×C₁₃	semidirect
123. #2096	C₂×C₁₃	semidirect
125. #2074	C₂×C₁₃	semidirect
127. #2066	C₂×C₁₃	semidirect
129. #2058	C₂×C₁₃	semidirect
131. #1832	C₂×C₁₃	semidirect
307. C₁₃	#32830	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#2647	2
C₁₃×#2640	2
C₁₃×#2096	2
C₁₃×#2094	2
C₁₃×#2074	2
C₁₃×#2073	2
C₁₃×#2066	2
C₁₃×#2065	2
C₁₃×#2058	2
C₁₃×#2042	2
C₁₃×#1832	2
#32830	13

Subgroups — C13×#32830 #15719169

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#32830 #15719169