Subgroups — C₁₃×#33806 #15720145

Order 3328.

462 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3168	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3160	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2255	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2255	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2243	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2243	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2237	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2234	C₂	1	2	yes	maximal
9	C₁₃×#2229	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2228	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2163	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#533	—	2	1	no	—
13	C₁₃×#529	—	2	1	no	—
14	C₁₃×#500	C₂²	1	1	yes	characteristic
15	C₁₃×#500	C₂²	1	1	yes	characteristic
16	C₁₃×#499	—	2	1	no	—
17	C₁₃×#499	C₂²	1	1	yes	characteristic
18	C₁₃×#499	C₂²	1	2	yes	—
19	C₁₃×#498	—	2	1	no	—
20	C₁₃×#495	C₂²	1	1	yes	characteristic
21	C₁₃×#488	—	2	1	no	—
22	C₁₃×#467	C₂²	1	1	yes	characteristic
23	C₁₃×#466	C₂²	1	1	yes	characteristic
24	C₁₃×#465	—	2	1	no	—
25	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
26	C₄×C₁₃×SD₁₆	—	2	1	no	—
27	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
28	C₁₃×#427	—	2	1	no	—
29	C₁₃×#427	C₂²	1	2	yes	—
30	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×#367	C₂²	1	2	yes	—
32	C₁₃×#367	C₂²	1	2	yes	—
33	C₁₃×#366	C₂²	1	2	yes	—
34	C₁₃×#366	C₂²	1	2	yes	—
35	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
36	C₁₃×#358	C₂²	1	2	yes	—
37	C₁₃×#358	C₂²	1	2	yes	—
38	C₁₃×#357	C₂²	1	2	yes	—
39	C₁₃×#357	C₂²	1	2	yes	—
40	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
41	C₁₃×#346	C₂²	1	1	yes	characteristic
42	C₁₃×#346	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
44	C₂×C₁₃×SD₁₆	—	2	1	no	—
45	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
48	C₁₃×C₄⋊Q₈	—	2	1	no	—
49	C₁₃×C₄⋊Q₈	—	2	1	no	—
50	C₁₃×#126	—	4	1	no	—
51	C₁₃×#125	—	2	1	no	—
52	C₁₃×#125	—	2	2	no	—
53	C₁₃×#124	—	2	1	no	—
54	C₁₃×#123	—	4	1	no	—
55	C₁₃×C₂²⋊Q₈	—	2	1	no	—
56	C₁₃×C₂²⋊Q₈	—	4	1	no	—
57	C₁₃×C₂²⋊Q₈	—	4	1	no	—
58	C₁₃×#121	—	2	1	no	—
59	C₄×Q₈×C₁₃	—	2	1	no	—
60	C₄×Q₈×C₁₃	—	4	1	no	—
61	C₄×Q₈×C₁₃	—	4	1	no	—
62	C₄×D₄×C₁₃	—	2	1	no	—
63	C₄×D₄×C₁₃	—	4	1	no	—
64	C₁₃×#117	—	2	2	no	—
65	C₁₃×#117	—	4	1	no	—
66	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
67	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
68	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
69	C₁₃×#107	—	2	1	no	—
70	C₁₃×#107	—	2	1	no	—
71	C₁₃×#107	C₂³	1	2	yes	—
72	C₁₃×#107	C₂³	1	2	yes	—
73	C₁₃×#107	C₂³	1	1	yes	characteristic
74	C₁₃×#107	C₂³	1	1	yes	characteristic
75	C₁₃×#106	—	2	2	no	—
76	C₁₃×#106	—	2	2	no	—
77	C₁₃×#106	—	2	1	no	—
78	C₁₃×#103	—	2	1	no	—
79	C₁₃×#103	—	2	1	no	—
80	C₁₃×#102	—	2	1	no	—
81	C₁₃×#102	—	2	1	no	—
82	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
83	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
84	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
86	#33806	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
87	C₂×Q₈×C₁₃	—	2	1	no	—
88	C₂×Q₈×C₁₃	—	4	1	no	—
89	C₂×Q₈×C₁₃	—	4	1	no	—
90	C₂×D₄×C₁₃	—	2	1	no	—
91	C₂×D₄×C₁₃	—	4	1	no	—
92	C₂²×C₄×C₁₃	—	4	1	no	—
93	C₂²×C₄×C₁₃	D₈	1	1	yes	characteristic
94	C₂²×C₄×C₁₃	D₈	1	1	yes	characteristic
95	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
96	C₁₃×Q₁₆	—	2	2	no	—
97	C₁₃×SD₁₆	—	4	2	no	—
98	C₁₃×D₈	—	2	2	no	—
99	C₂×C₈×C₁₃	—	2	2	no	—
100	C₂×C₈×C₁₃	—	2	2	no	—
101	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
102	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
103	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
104	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
105	C₁₃×C₄⋊C₄	—	2	1	no	—
106	C₁₃×C₄⋊C₄	—	2	1	no	—
107	C₁₃×C₄⋊C₄	—	2	2	no	—
108	C₁₃×C₄⋊C₄	—	2	2	no	—
109	C₁₃×C₄⋊C₄	—	4	1	no	—
110	C₁₃×C₄⋊C₄	—	4	1	no	—
111	C₁₃×C₄⋊C₄	—	4	1	no	—
112	C₁₃×C₄⋊C₄	—	4	1	no	—
113	C₁₃×C₄⋊C₄	—	4	2	no	—
114	C₁₃×C₄⋊C₄	—	4	2	no	—
115	C₁₃×C₄⋊C₄	—	4	1	no	—
116	C₁₃×C₄⋊C₄	—	4	1	no	—
117	C₁₃×C₂²⋊C₄	—	4	2	no	—
118	C₁₃×C₂²⋊C₄	—	4	1	no	—
119	C₁₃×C₂²⋊C₄	—	4	1	no	—
120	C₁₃×C₂²⋊C₄	—	4	1	no	—
121	C₁₃×C₂²⋊C₄	—	4	1	no	—
122	C₁₃×C₂²⋊C₄	—	4	1	no	—
123	C₄²×C₁₃	—	4	2	no	—
124	C₄²×C₁₃	—	4	1	no	—
125	C₄²×C₁₃	D₈	1	1	yes	characteristic
126	C₄²×C₁₃	D₈	1	1	yes	characteristic
127	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
129	C₁₃×C₁₆	—	2	2	no	—
130	C₁₃×C₁₆	—	2	2	no	—
131	#3168	C₂×C₁₃	1	1	yes	characteristic
132	#3160	C₂×C₁₃	1	1	yes	characteristic, complemented
133	#2255	C₂×C₁₃	1	1	yes	characteristic, complemented
134	#2255	C₂×C₁₃	1	1	yes	characteristic, complemented
135	#2243	C₂×C₁₃	1	1	yes	characteristic, complemented
136	#2243	C₂×C₁₃	1	1	yes	characteristic, complemented
137	#2237	C₂×C₁₃	1	2	yes	complemented
138	#2234	C₂×C₁₃	1	2	yes	—
139	#2229	C₂×C₁₃	1	2	yes	complemented
140	#2228	C₂×C₁₃	1	2	yes	complemented
141	#2163	C₂×C₁₃	1	1	yes	characteristic, complemented
142	C₂³×C₁₃	—	4	1	no	—
143	C₂³×C₁₃	C₂×D₈	1	1	yes	characteristic
144	Q₈×C₁₃	—	4	1	no	—
145	Q₈×C₁₃	—	4	1	no	—
146	Q₈×C₁₃	—	8	2	no	—
147	Q₈×C₁₃	—	8	2	no	—
148	D₄×C₁₃	—	4	1	no	—
149	D₄×C₁₃	—	4	1	no	—
150	D₄×C₁₃	—	8	2	no	—
151	C₂×C₄×C₁₃	—	2	1	no	—
152	C₂×C₄×C₁₃	—	2	1	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	1	no	—
157	C₂×C₄×C₁₃	—	4	2	no	—
158	C₂×C₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	—	4	1	no	—
160	C₂×C₄×C₁₃	—	8	2	no	—
161	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
162	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
167	C₈×C₁₃	—	2	1	no	—
168	C₈×C₁₃	—	2	1	no	—
169	C₈×C₁₃	#137	1	2	yes	—
170	C₈×C₁₃	2₋¹⁺⁴	1	2	yes	—
171	#533	—	2	1	no	—
172	#529	—	2	1	no	—
173	#500	C₂²×C₁₃	1	1	yes	characteristic
174	#500	C₂²×C₁₃	1	1	yes	characteristic
175	#499	—	2	1	no	—
176	#499	C₂²×C₁₃	1	2	yes	—
177	#499	C₂²×C₁₃	1	1	yes	characteristic
178	#498	—	2	1	no	—
179	#495	C₂²×C₁₃	1	1	yes	characteristic
180	#488	—	2	1	no	—
181	#467	C₂²×C₁₃	1	1	yes	characteristic
182	#466	C₂²×C₁₃	1	1	yes	characteristic
183	#465	—	2	1	no	—
184	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
185	C₄×SD₁₆	—	2	1	no	—
186	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
187	#427	—	2	1	no	—
188	#427	C₂²×C₁₃	1	2	yes	—
189	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
190	#367	C₂²×C₁₃	1	2	yes	—
191	#367	C₂²×C₁₃	1	2	yes	—
192	#366	C₂²×C₁₃	1	2	yes	—
193	#366	C₂²×C₁₃	1	2	yes	—
194	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
195	#358	C₂²×C₁₃	1	2	yes	—
196	#358	C₂²×C₁₃	1	2	yes	—
197	#357	C₂²×C₁₃	1	2	yes	—
198	#357	C₂²×C₁₃	1	2	yes	—
199	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
200	#346	C₂²×C₁₃	1	1	yes	characteristic
201	#346	C₂²×C₁₃	1	1	yes	characteristic
202	C₂²×C₁₃	—	2	1	no	—
203	C₂²×C₁₃	—	2	1	no	—
204	C₂²×C₁₃	—	2	1	no	—
205	C₂²×C₁₃	—	8	1	no	—
206	C₂²×C₁₃	—	8	1	no	—
207	C₂²×C₁₃	—	8	1	no	—
208	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
209	C₄×C₁₃	—	2	1	no	—
210	C₄×C₁₃	—	2	1	no	—
211	C₄×C₁₃	—	2	1	no	—
212	C₄×C₁₃	—	2	1	no	—
213	C₄×C₁₃	—	2	1	no	—
214	C₄×C₁₃	—	8	1	no	—
215	C₄×C₁₃	—	8	1	no	—
216	C₄×C₁₃	—	8	2	no	—
217	C₄×C₁₃	—	8	2	no	—
218	C₄×C₁₃	—	8	1	no	—
219	C₄×C₁₃	#536	1	1	yes	characteristic
220	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
221	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
222	C₂×SD₁₆	—	2	1	no	—
223	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
224	C₂²×C₈	D₄×C₁₃	1	1	yes	characteristic
225	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	—	2	1	no	—
228	#126	—	4	1	no	—
229	#125	—	2	1	no	—
230	#125	—	2	2	no	—
231	#124	—	2	1	no	—
232	#123	—	4	1	no	—
233	C₂²⋊Q₈	—	2	1	no	—
234	C₂²⋊Q₈	—	4	1	no	—
235	C₂²⋊Q₈	—	4	1	no	—
236	#121	—	2	1	no	—
237	C₄×Q₈	—	2	1	no	—
238	C₄×Q₈	—	4	1	no	—
239	C₄×Q₈	—	4	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	—	4	1	no	—
242	#117	—	2	2	no	—
243	#117	—	4	1	no	—
244	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
245	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
246	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
247	#107	—	2	1	no	—
248	#107	—	2	1	no	—
249	#107	C₂³×C₁₃	1	2	yes	—
250	#107	C₂³×C₁₃	1	2	yes	—
251	#107	C₂³×C₁₃	1	1	yes	characteristic
252	#107	C₂³×C₁₃	1	1	yes	characteristic
253	#106	—	2	2	no	—
254	#106	—	2	2	no	—
255	#106	—	2	1	no	—
256	#103	—	2	1	no	—
257	#103	—	2	1	no	—
258	#102	—	2	1	no	—
259	#102	—	2	1	no	—
260	C₄×C₈	D₄×C₁₃	1	1	yes	characteristic
261	C₄×C₈	D₄×C₁₃	1	1	yes	characteristic
262	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
263	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
264	C₂×C₁₃	—	4	1	no	—
265	C₂×C₁₃	—	16	1	no	—
266	C₂×C₁₃	#3226	1	1	yes	characteristic
267	C₂×C₁₃	#3414	1	1	yes	characteristic
268	C₂×C₁₃	#3414	1	1	yes	characteristic
269	C₂×Q₈	—	2	1	no	—
270	C₂×Q₈	—	4	1	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂²×C₄	—	4	1	no	—
275	C₂²×C₄	C₁₃×D₈	1	1	yes	characteristic
276	C₂²×C₄	C₁₃×D₈	1	1	yes	characteristic
277	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
278	Q₁₆	—	2	2	no	—
279	SD₁₆	—	4	2	no	—
280	D₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
284	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
285	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
286	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
287	C₄⋊C₄	—	2	1	no	—
288	C₄⋊C₄	—	2	1	no	—
289	C₄⋊C₄	—	2	2	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	4	1	no	—
292	C₄⋊C₄	—	4	1	no	—
293	C₄⋊C₄	—	4	1	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	4	2	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	4	1	no	—
301	C₂²⋊C₄	—	4	1	no	—
302	C₂²⋊C₄	—	4	1	no	—
303	C₂²⋊C₄	—	4	1	no	—
304	C₂²⋊C₄	—	4	1	no	—
305	C₄²	—	4	2	no	—
306	C₄²	—	4	1	no	—
307	C₄²	C₁₃×D₈	1	1	yes	characteristic
308	C₄²	C₁₃×D₈	1	1	yes	characteristic
309	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
311	C₁₆	—	2	2	no	—
312	C₁₆	—	2	2	no	—
313	C₁₃	#33806	1	1	yes	characteristic, direct product factor, Sylow
314	C₂³	—	4	1	no	—
315	C₂³	C₂×C₁₃×D₈	1	1	yes	characteristic
316	Q₈	—	4	1	no	—
317	Q₈	—	4	1	no	—
318	Q₈	—	8	2	no	—
319	Q₈	—	8	2	no	—
320	D₄	—	4	1	no	—
321	D₄	—	4	1	no	—
322	D₄	—	8	2	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	8	2	no	—
333	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
334	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
335	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
336	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
337	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
339	C₈	—	2	1	no	—
340	C₈	—	2	1	no	—
341	C₈	C₁₃×#137	1	2	yes	—
342	C₈	C₁₃×2₋¹⁺⁴	1	2	yes	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	8	1	no	—
347	C₂²	—	8	1	no	—
348	C₂²	—	8	1	no	—
349	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	8	1	no	—
356	C₄	—	8	1	no	—
357	C₄	—	8	2	no	—
358	C₄	—	8	2	no	—
359	C₄	—	8	1	no	—
360	C₄	C₁₃×#536	1	1	yes	characteristic
361	C₄	C₂×C₁₃×#137	1	1	yes	characteristic
362	C₂	—	4	1	no	—
363	C₂	—	16	1	no	—
364	C₂	C₁₃×#3226	1	1	yes	characteristic
365	C₂	C₁₃×#3414	1	1	yes	characteristic
366	C₂	C₁₃×#3414	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
prime radical	C₁₃×#466	C₂²
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ C₂×C₄×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#3160	C₂	semidirect
3. C₁₃×#2255	C₂	semidirect
4. C₁₃×#2255	C₂	semidirect
5. C₁₃×#2243	C₂	semidirect
6. C₁₃×#2243	C₂	semidirect
7. C₁₃×#2237	C₂	semidirect
9. C₁₃×#2229	C₂	semidirect
10. C₁₃×#2228	C₂	semidirect
11. C₁₃×#2163	C₂	semidirect
86. #33806	C₁₃	direct (N × H)
132. #3160	C₂×C₁₃	semidirect
133. #2255	C₂×C₁₃	semidirect
134. #2255	C₂×C₁₃	semidirect
135. #2243	C₂×C₁₃	semidirect
136. #2243	C₂×C₁₃	semidirect
137. #2237	C₂×C₁₃	semidirect
139. #2229	C₂×C₁₃	semidirect
140. #2228	C₂×C₁₃	semidirect
141. #2163	C₂×C₁₃	semidirect
313. C₁₃	#33806	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×#3168	2
C₁₃×#3160	2
C₁₃×#2255	2
C₁₃×#2243	2
C₁₃×#2237	2
C₁₃×#2234	2
C₁₃×#2229	2
C₁₃×#2228	2
C₁₃×#2163	2
#33806	13

Subgroups — C13×#33806 #15720145

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33806 #15720145