Subgroups — C₁₃×#13314 #15699653

Order 3328.

536 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₃×SD₃₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#473	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#472	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₃×#362	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2113	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1381	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#137	—	2	1	no	—
9	C₂×C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
10	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
11	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×SD₃₂	—	2	2	no	—
14	C₂×C₁₃×SD₃₂	—	2	2	no	—
15	C₂×C₁₃×SD₃₂	—	2	2	no	—
16	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
18	C₁₃×#473	—	2	2	no	—
19	C₁₃×#473	—	2	2	no	—
20	C₁₃×#472	—	2	2	no	—
21	C₁₃×#472	—	2	2	no	—
22	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#101	—	2	1	no	—
25	C₂×C₁₃×#100	—	2	1	no	—
26	C₁₃×#362	—	2	2	no	—
27	C₁₃×#361	—	2	2	no	—
28	C₁₃×C₂²⋊C₁₆	—	2	2	no	—
29	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
30	C₂²×Q₈×C₁₃	—	2	1	no	—
31	C₂²×D₄×C₁₃	—	2	1	no	—
32	C₁₃×#137	—	2	4	no	—
33	C₁₃×#137	—	4	2	no	—
34	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
35	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
36	C₂×C₁₃×Q₁₆	—	2	1	no	—
37	C₂×C₁₃×Q₁₆	—	2	1	no	—
38	C₂×C₁₃×Q₁₆	—	2	1	no	—
39	C₂×C₁₃×Q₁₆	—	2	1	no	—
40	C₂×C₁₃×Q₁₆	—	2	1	no	—
41	C₂×C₁₃×Q₁₆	—	4	1	no	—
42	C₂×C₁₃×Q₁₆	D₄	1	2	yes	—
43	C₂×C₁₃×SD₁₆	—	4	1	no	—
44	C₂×C₁₃×SD₁₆	—	4	1	no	—
45	C₂×C₁₃×D₈	—	2	1	no	—
46	C₂×C₁₃×D₈	—	2	1	no	—
47	C₂×C₁₃×D₈	—	2	1	no	—
48	C₂×C₁₃×D₈	—	2	1	no	—
49	C₂×C₁₃×D₈	—	2	1	no	—
50	C₂×C₁₃×D₈	—	4	1	no	—
51	C₂×C₁₃×D₈	D₄	1	2	yes	—
52	C₁₃×#131	—	2	1	no	—
53	C₁₃×#131	—	2	1	no	—
54	C₁₃×#131	—	2	1	no	—
55	C₁₃×#131	—	2	1	no	—
56	C₂×C₁₃×M₁₆	—	2	1	no	—
57	C₂×C₁₃×M₁₆	—	2	1	no	—
58	C₂×C₁₃×M₁₆	—	2	1	no	—
59	C₂×C₁₃×M₁₆	D₄	1	1	yes	characteristic
60	C₂²×C₈×C₁₃	—	2	1	no	—
61	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
62	C₁₃×SD₃₂	—	2	8	no	—
63	C₁₃×M₃₂	—	2	1	no	—
64	C₁₃×M₃₂	—	2	1	no	—
65	C₂×C₁₃×C₁₆	—	2	1	no	—
66	C₂×C₁₃×C₁₆	—	2	1	no	—
67	C₂×C₁₃×C₁₆	—	2	1	no	—
68	C₂×C₁₃×C₁₆	D₄	1	2	yes	—
69	C₁₃×#108	—	2	1	no	—
70	C₁₃×#108	—	2	1	no	—
71	C₁₃×#108	D₄	1	2	yes	—
72	C₁₃×#108	D₄	1	2	yes	—
73	C₁₃×#101	—	2	4	no	—
74	C₁₃×#100	—	2	4	no	—
75	#13314	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
76	C₂⁴×C₁₃	—	4	1	no	—
77	C₁₃×#41	—	2	1	no	—
78	C₁₃×#41	—	2	1	no	—
79	C₁₃×#41	—	2	1	no	—
80	C₁₃×#41	—	2	1	no	—
81	C₂×Q₈×C₁₃	—	2	2	no	—
82	C₂×Q₈×C₁₃	—	4	1	no	—
83	C₂×Q₈×C₁₃	—	4	1	no	—
84	C₂×Q₈×C₁₃	—	4	1	no	—
85	C₂×Q₈×C₁₃	—	4	1	no	—
86	C₂×Q₈×C₁₃	—	4	1	no	—
87	C₂×Q₈×C₁₃	D₈	1	1	yes	characteristic
88	C₂×D₄×C₁₃	—	2	1	no	—
89	C₂×D₄×C₁₃	—	2	2	no	—
90	C₂×D₄×C₁₃	—	4	1	no	—
91	C₂×D₄×C₁₃	—	4	1	no	—
92	C₂×D₄×C₁₃	—	4	1	no	—
93	C₂×D₄×C₁₃	—	4	1	no	—
94	C₂×D₄×C₁₃	—	4	1	no	—
95	C₂×D₄×C₁₃	D₈	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	—	2	1	no	—
97	C₂²×C₄×C₁₃	—	4	1	no	—
98	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
99	C₁₃×Q₁₆	—	2	2	no	—
100	C₁₃×Q₁₆	—	2	2	no	—
101	C₁₃×Q₁₆	—	4	4	no	—
102	C₁₃×Q₁₆	—	4	1	no	—
103	C₁₃×Q₁₆	—	4	1	no	—
104	C₁₃×SD₁₆	—	4	4	no	—
105	C₁₃×SD₁₆	—	4	4	no	—
106	C₁₃×D₈	—	2	2	no	—
107	C₁₃×D₈	—	2	2	no	—
108	C₁₃×D₈	—	4	4	no	—
109	C₁₃×D₈	—	4	1	no	—
110	C₁₃×D₈	—	4	1	no	—
111	C₁₃×M₁₆	—	2	1	no	—
112	C₁₃×M₁₆	—	2	2	no	—
113	C₁₃×M₁₆	—	2	1	no	—
114	C₁₃×M₁₆	—	2	2	no	—
115	C₁₃×M₁₆	—	4	1	no	—
116	C₁₃×M₁₆	—	4	1	no	—
117	C₁₃×M₁₆	—	4	1	no	—
118	C₁₃×M₁₆	—	4	1	no	—
119	C₂×C₈×C₁₃	—	2	1	no	—
120	C₂×C₈×C₁₃	—	4	1	no	—
121	C₂×C₈×C₁₃	—	4	1	no	—
122	C₂×C₈×C₁₃	—	4	1	no	—
123	C₂×C₈×C₁₃	—	4	1	no	—
124	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
128	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
129	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
130	C₁₃×C₁₆	—	2	2	no	—
131	C₁₃×C₁₆	—	4	1	no	—
132	C₂²×SD₃₂	C₂×C₁₃	1	1	yes	characteristic, complemented
133	C₂×#473	C₂×C₁₃	1	1	yes	characteristic, complemented
134	C₂×#472	C₂×C₁₃	1	1	yes	characteristic
135	C₂×#362	C₂×C₁₃	1	1	yes	characteristic, complemented
136	C₂×#361	C₂×C₁₃	1	1	yes	characteristic, complemented
137	#2113	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#1381	C₂×C₁₃	1	1	yes	characteristic, complemented
139	C₂³×C₁₃	—	2	1	no	—
140	C₂³×C₁₃	—	4	2	no	—
141	C₂³×C₁₃	—	8	1	no	—
142	C₂³×C₁₃	—	8	1	no	—
143	C₂³×C₁₃	—	16	2	no	—
144	C₂³×C₁₃	#135	1	1	yes	characteristic
145	Q₈×C₁₃	—	2	1	no	—
146	Q₈×C₁₃	—	2	1	no	—
147	Q₈×C₁₃	—	4	2	no	—
148	Q₈×C₁₃	—	4	2	no	—
149	Q₈×C₁₃	—	8	1	no	—
150	Q₈×C₁₃	—	8	1	no	—
151	D₄×C₁₃	—	2	1	no	—
152	D₄×C₁₃	—	2	1	no	—
153	D₄×C₁₃	—	4	1	no	—
154	D₄×C₁₃	—	4	1	no	—
155	D₄×C₁₃	—	4	2	no	—
156	D₄×C₁₃	—	4	2	no	—
157	D₄×C₁₃	—	8	1	no	—
158	D₄×C₁₃	—	8	1	no	—
159	C₂×C₄×C₁₃	—	2	1	no	—
160	C₂×C₄×C₁₃	—	4	1	no	—
161	C₂×C₄×C₁₃	—	4	1	no	—
162	C₂×C₄×C₁₃	—	4	2	no	—
163	C₂×C₄×C₁₃	—	8	1	no	—
164	C₂×C₄×C₁₃	—	8	1	no	—
165	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
166	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
167	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
169	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
170	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
171	C₈×C₁₃	—	4	1	no	—
172	C₈×C₁₃	—	4	2	no	—
173	C₈×C₁₃	—	4	2	no	—
174	C₈×C₁₃	#120	1	1	yes	characteristic
175	C₈×C₁₃	#121	1	1	yes	characteristic
176	C₈×C₁₃	#121	1	1	yes	characteristic
177	C₈×C₁₃	#127	1	1	yes	characteristic
178	C₂×#137	—	2	1	no	—
179	C₂×AGL(1,ℤ/8)	—	2	1	no	—
180	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
181	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
182	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
183	C₂×SD₃₂	—	2	2	no	—
184	C₂×SD₃₂	—	2	2	no	—
185	C₂×SD₃₂	—	2	2	no	—
186	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
187	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
188	#473	—	2	2	no	—
189	#473	—	2	2	no	—
190	#472	—	2	2	no	—
191	#472	—	2	2	no	—
192	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic
193	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic
194	C₂×#101	—	2	1	no	—
195	C₂×#100	—	2	1	no	—
196	#362	—	2	2	no	—
197	#361	—	2	2	no	—
198	C₂²⋊C₁₆	—	2	2	no	—
199	C₂²×C₁₃	—	2	2	no	—
200	C₂²×C₁₃	—	4	2	no	—
201	C₂²×C₁₃	—	4	1	no	—
202	C₂²×C₁₃	—	8	2	no	—
203	C₂²×C₁₃	—	16	2	no	—
204	C₂²×C₁₃	—	16	2	no	—
205	C₂²×C₁₃	—	16	2	no	—
206	C₂²×C₁₃	#449	1	1	yes	characteristic
207	C₂²×C₁₃	#449	1	1	yes	characteristic
208	C₂²×C₁₃	#466	1	1	yes	characteristic
209	C₄×C₁₃	—	4	1	no	—
210	C₄×C₁₃	—	8	2	no	—
211	C₄×C₁₃	#392	1	1	yes	characteristic
212	C₄×C₁₃	#447	1	1	yes	characteristic
213	C₄×C₁₃	#447	1	1	yes	characteristic
214	C₄×C₁₃	#469	1	1	yes	characteristic
215	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
216	C₂²×Q₈	—	2	1	no	—
217	C₂²×D₄	—	2	1	no	—
218	#137	—	2	4	no	—
219	#137	—	4	2	no	—
220	AGL(1,ℤ/8)	—	2	4	no	—
221	AGL(1,ℤ/8)	—	4	2	no	—
222	C₂×Q₁₆	—	2	1	no	—
223	C₂×Q₁₆	—	2	1	no	—
224	C₂×Q₁₆	—	2	1	no	—
225	C₂×Q₁₆	—	2	1	no	—
226	C₂×Q₁₆	—	2	1	no	—
227	C₂×Q₁₆	—	4	1	no	—
228	C₂×Q₁₆	D₄×C₁₃	1	2	yes	—
229	C₂×SD₁₆	—	4	1	no	—
230	C₂×SD₁₆	—	4	1	no	—
231	C₂×D₈	—	2	1	no	—
232	C₂×D₈	—	2	1	no	—
233	C₂×D₈	—	2	1	no	—
234	C₂×D₈	—	2	1	no	—
235	C₂×D₈	—	2	1	no	—
236	C₂×D₈	—	4	1	no	—
237	C₂×D₈	D₄×C₁₃	1	2	yes	—
238	#131	—	2	1	no	—
239	#131	—	2	1	no	—
240	#131	—	2	1	no	—
241	#131	—	2	1	no	—
242	C₂×M₁₆	—	2	1	no	—
243	C₂×M₁₆	—	2	1	no	—
244	C₂×M₁₆	—	2	1	no	—
245	C₂×M₁₆	D₄×C₁₃	1	1	yes	characteristic
246	C₂²×C₈	—	2	1	no	—
247	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
248	SD₃₂	—	2	8	no	—
249	M₃₂	—	2	1	no	—
250	M₃₂	—	2	1	no	—
251	C₂×C₁₆	—	2	1	no	—
252	C₂×C₁₆	—	2	1	no	—
253	C₂×C₁₆	—	2	1	no	—
254	C₂×C₁₆	D₄×C₁₃	1	2	yes	—
255	#108	—	2	1	no	—
256	#108	—	2	1	no	—
257	#108	D₄×C₁₃	1	2	yes	—
258	#108	D₄×C₁₃	1	2	yes	—
259	#101	—	2	4	no	—
260	#100	—	2	4	no	—
261	C₂×C₁₃	—	2	1	no	—
262	C₂×C₁₃	—	2	1	no	—
263	C₂×C₁₃	—	8	1	no	—
264	C₂×C₁₃	—	16	2	no	—
265	C₂×C₁₃	#1999	1	1	yes	characteristic
266	C₂×C₁₃	#2223	1	2	yes	—
267	C₂⁴	—	4	1	no	—
268	#41	—	2	1	no	—
269	#41	—	2	1	no	—
270	#41	—	2	1	no	—
271	#41	—	2	1	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	—	4	1	no	—
274	C₂×Q₈	—	4	1	no	—
275	C₂×Q₈	—	4	1	no	—
276	C₂×Q₈	—	4	1	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	C₁₃×D₈	1	1	yes	characteristic
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	—	2	2	no	—
281	C₂×D₄	—	4	1	no	—
282	C₂×D₄	—	4	1	no	—
283	C₂×D₄	—	4	1	no	—
284	C₂×D₄	—	4	1	no	—
285	C₂×D₄	—	4	1	no	—
286	C₂×D₄	C₁₃×D₈	1	1	yes	characteristic
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	4	1	no	—
289	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
290	Q₁₆	—	2	2	no	—
291	Q₁₆	—	2	2	no	—
292	Q₁₆	—	4	4	no	—
293	Q₁₆	—	4	1	no	—
294	Q₁₆	—	4	1	no	—
295	SD₁₆	—	4	4	no	—
296	SD₁₆	—	4	4	no	—
297	D₈	—	2	2	no	—
298	D₈	—	2	2	no	—
299	D₈	—	4	4	no	—
300	D₈	—	4	1	no	—
301	D₈	—	4	1	no	—
302	M₁₆	—	2	1	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	2	1	no	—
305	M₁₆	—	2	2	no	—
306	M₁₆	—	4	1	no	—
307	M₁₆	—	4	1	no	—
308	M₁₆	—	4	1	no	—
309	M₁₆	—	4	1	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	4	1	no	—
312	C₂×C₈	—	4	1	no	—
313	C₂×C₈	—	4	1	no	—
314	C₂×C₈	—	4	1	no	—
315	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
316	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
317	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
318	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
319	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
320	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
321	C₁₆	—	2	2	no	—
322	C₁₆	—	4	1	no	—
323	C₁₃	#13314	1	1	yes	characteristic, direct product factor, Sylow
324	C₂³	—	2	1	no	—
325	C₂³	—	4	2	no	—
326	C₂³	—	8	1	no	—
327	C₂³	—	8	1	no	—
328	C₂³	—	16	2	no	—
329	C₂³	C₁₃×#135	1	1	yes	characteristic
330	Q₈	—	2	1	no	—
331	Q₈	—	2	1	no	—
332	Q₈	—	4	2	no	—
333	Q₈	—	4	2	no	—
334	Q₈	—	8	1	no	—
335	Q₈	—	8	1	no	—
336	D₄	—	2	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	4	1	no	—
339	D₄	—	4	1	no	—
340	D₄	—	4	2	no	—
341	D₄	—	4	2	no	—
342	D₄	—	8	1	no	—
343	D₄	—	8	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	1	no	—
350	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
351	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
352	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
353	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
354	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
355	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
356	C₈	—	4	1	no	—
357	C₈	—	4	2	no	—
358	C₈	—	4	2	no	—
359	C₈	C₁₃×#120	1	1	yes	characteristic
360	C₈	C₁₃×#121	1	1	yes	characteristic
361	C₈	C₁₃×#121	1	1	yes	characteristic
362	C₈	C₁₃×#127	1	1	yes	characteristic
363	C₂²	—	2	2	no	—
364	C₂²	—	4	1	no	—
365	C₂²	—	4	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	16	2	no	—
368	C₂²	—	16	2	no	—
369	C₂²	—	16	2	no	—
370	C₂²	C₁₃×#449	1	1	yes	characteristic
371	C₂²	C₁₃×#449	1	1	yes	characteristic
372	C₂²	C₁₃×#466	1	1	yes	characteristic
373	C₄	—	4	1	no	—
374	C₄	—	8	2	no	—
375	C₄	C₁₃×#392	1	1	yes	characteristic
376	C₄	C₁₃×#447	1	1	yes	characteristic
377	C₄	C₁₃×#447	1	1	yes	characteristic
378	C₄	C₁₃×#469	1	1	yes	characteristic
379	C₂	—	2	1	no	—
380	C₂	—	2	1	no	—
381	C₂	—	8	1	no	—
382	C₂	—	16	2	no	—
383	C₂	C₁₃×#1999	1	1	yes	characteristic
384	C₂	C₁₃×#2223	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	#466
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₁₃
prime radical	C₂×C₁₃×#472	C₂
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ C₂×C₁₃×#131 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₃×SD₃₂	C₂	semidirect
2. C₂×C₁₃×#473	C₂	semidirect
4. C₂×C₁₃×#362	C₂	semidirect
5. C₂×C₁₃×#361	C₂	semidirect
6. C₁₃×#2113	C₂	semidirect
7. C₁₃×#1381	C₂	semidirect
75. #13314	C₁₃	direct (N × H)
132. C₂²×SD₃₂	C₂×C₁₃	semidirect
133. C₂×#473	C₂×C₁₃	semidirect
135. C₂×#362	C₂×C₁₃	semidirect
136. C₂×#361	C₂×C₁₃	semidirect
137. #2113	C₂×C₁₃	semidirect
138. #1381	C₂×C₁₃	semidirect
323. C₁₃	#13314	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₃×SD₃₂	2
C₂×C₁₃×#473	2
C₂×C₁₃×#472	2
C₂×C₁₃×#362	2
C₂×C₁₃×#361	2
C₁₃×#2113	2
C₁₃×#1381	2
#13314	13

Subgroups — C13×#13314 #15699653

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#13314 #15699653