Subgroups — C₁₃×#29176 #15715515

Order 3328.

706 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2859	C₂	1	1	yes	maximal, characteristic
2	C₄×C₁₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2088	C₂	1	4	yes	maximal
4	C₁₃×#1990	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#1990	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1920	C₂	1	4	yes	maximal
7	C₁₃×#1844	C₂	1	1	yes	maximal, characteristic
8	C₁₃×#1834	C₂	1	1	yes	maximal, characteristic
9	C₄×C₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
10	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#125	—	2	1	no	—
12	C₂×C₄×Q₈×C₁₃	—	2	1	no	—
13	C₂×C₁₃×#106	C₂²	1	4	yes	—
14	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
16	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
17	C₁₃×#391	—	2	1	no	—
18	C₁₃×#389	—	2	1	no	—
19	C₁₃×#389	—	2	1	no	—
20	C₁₃×#389	—	2	1	no	—
21	C₁₃×#389	C₂²	1	2	yes	—
22	C₁₃×#389	C₂²	1	2	yes	—
23	C₁₃×#389	C₂²	1	2	yes	—
24	C₁₃×#384	C₂²	1	1	yes	characteristic
25	C₁₃×#384	C₂²	1	1	yes	characteristic
26	C₁₃×#384	C₂²	1	1	yes	characteristic
27	C₁₃×#382	—	2	1	no	—
28	C₄×C₁₃×C₄⋊C₄	—	2	1	no	—
29	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
30	C₄³×C₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×#340	C₂²	1	4	yes	—
32	C₁₃×#340	C₂²	1	4	yes	—
33	C₁₃×#340	C₂²	1	4	yes	—
34	C₁₃×#336	C₂²	1	2	yes	—
35	C₂²×Q₈×C₁₃	—	2	1	no	—
36	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
37	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
38	C₁₃×C₄⋊Q₈	—	2	2	no	—
39	C₁₃×C₄⋊Q₈	Q₈	1	4	yes	—
40	C₁₃×#125	—	4	4	no	—
41	C₄×Q₈×C₁₃	—	4	4	no	—
42	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
43	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
44	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
45	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
46	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
47	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
48	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
49	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
50	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
51	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
52	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
53	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
54	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
55	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
56	C₂×C₄²×C₁₃	—	2	2	no	—
57	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
58	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
59	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
60	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
61	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
62	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
64	C₁₃×#106	—	2	8	no	—
65	C₁₃×C₄⋊C₈	—	2	4	no	—
66	C₄×C₈×C₁₃	—	2	2	no	—
67	C₄×C₈×C₁₃	—	2	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	#29176	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
73	C₂×Q₈×C₁₃	—	2	4	no	—
74	C₂×Q₈×C₁₃	—	4	2	no	—
75	C₂×Q₈×C₁₃	—	4	2	no	—
76	C₂²×C₄×C₁₃	—	2	2	no	—
77	C₂²×C₄×C₁₃	—	2	2	no	—
78	C₂²×C₄×C₁₃	—	2	2	no	—
79	C₂²×C₄×C₁₃	—	2	2	no	—
80	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
87	C₂×C₈×C₁₃	—	2	2	no	—
88	C₂×C₈×C₁₃	—	2	2	no	—
89	C₂×C₈×C₁₃	—	2	2	no	—
90	C₂×C₈×C₁₃	—	2	2	no	—
91	C₂×C₈×C₁₃	—	2	2	no	—
92	C₂×C₈×C₁₃	#41	1	4	yes	—
93	C₁₃×C₄⋊C₄	—	2	4	no	—
94	C₁₃×C₄⋊C₄	—	2	2	no	—
95	C₁₃×C₄⋊C₄	—	2	4	no	—
96	C₁₃×C₄⋊C₄	—	2	4	no	—
97	C₁₃×C₄⋊C₄	—	2	4	no	—
98	C₁₃×C₄⋊C₄	—	4	4	no	—
99	C₁₃×C₄⋊C₄	—	4	4	no	—
100	C₁₃×C₄⋊C₄	—	4	4	no	—
101	C₁₃×C₄⋊C₄	—	4	2	no	—
102	C₁₃×C₄⋊C₄	—	4	2	no	—
103	C₁₃×C₄⋊C₄	—	4	2	no	—
104	C₁₃×C₄⋊C₄	—	4	2	no	—
105	C₁₃×C₄⋊C₄	—	4	2	no	—
106	C₁₃×C₄⋊C₄	—	4	2	no	—
107	C₁₃×C₄⋊C₄	C₂×Q₈	1	4	yes	—
108	C₄²×C₁₃	—	2	2	no	—
109	C₄²×C₁₃	—	2	2	no	—
110	C₄²×C₁₃	—	2	2	no	—
111	C₄²×C₁₃	—	2	2	no	—
112	C₄²×C₁₃	—	2	2	no	—
113	C₄²×C₁₃	—	4	4	no	—
114	C₄²×C₁₃	SD₁₆	1	4	yes	—
115	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
116	C₄²×C₁₃	#41	1	2	yes	—
117	#2859	C₂×C₁₃	1	1	yes	characteristic
118	C₄×C₄⋊Q₈	C₂×C₁₃	1	1	yes	characteristic
119	#2088	C₂×C₁₃	1	4	yes	—
120	#1990	C₂×C₁₃	1	1	yes	characteristic
121	#1990	C₂×C₁₃	1	1	yes	characteristic
122	#1920	C₂×C₁₃	1	4	yes	—
123	#1844	C₂×C₁₃	1	1	yes	characteristic
124	#1834	C₂×C₁₃	1	1	yes	characteristic
125	C₄×C₄⋊C₈	C₂×C₁₃	1	1	yes	characteristic
126	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
127	Q₈×C₁₃	—	4	8	no	—
128	C₂×C₄×C₁₃	—	2	1	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	1	no	—
132	C₂×C₄×C₁₃	—	2	4	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	1	no	—
136	C₂×C₄×C₁₃	—	2	1	no	—
137	C₂×C₄×C₁₃	—	2	1	no	—
138	C₂×C₄×C₁₃	—	2	1	no	—
139	C₂×C₄×C₁₃	—	4	2	no	—
140	C₂×C₄×C₁₃	—	4	2	no	—
141	C₂×C₄×C₁₃	—	4	2	no	—
142	C₂×C₄×C₁₃	—	4	2	no	—
143	C₂×C₄×C₁₃	—	4	2	no	—
144	C₂×C₄×C₁₃	—	4	2	no	—
145	C₂×C₄×C₁₃	—	4	2	no	—
146	C₂×C₄×C₁₃	—	4	2	no	—
147	C₂×C₄×C₁₃	—	4	2	no	—
148	C₂×C₄×C₁₃	—	4	2	no	—
149	C₂×C₄×C₁₃	—	4	2	no	—
150	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
151	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
152	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
153	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
154	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
155	C₂×C₄×C₁₃	#135	1	2	yes	—
156	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
157	C₂×C₄×C₁₃	#137	1	2	yes	—
158	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
159	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
160	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
161	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
162	C₈×C₁₃	—	2	4	no	—
163	C₈×C₁₃	—	4	2	no	—
164	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
165	C₂×#125	—	2	1	no	—
166	C₂×C₄×Q₈	—	2	1	no	—
167	C₂×#106	C₂²×C₁₃	1	4	yes	—
168	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
169	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
170	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
171	#391	—	2	1	no	—
172	#389	—	2	1	no	—
173	#389	—	2	1	no	—
174	#389	—	2	1	no	—
175	#389	C₂²×C₁₃	1	2	yes	—
176	#389	C₂²×C₁₃	1	2	yes	—
177	#389	C₂²×C₁₃	1	2	yes	—
178	#384	C₂²×C₁₃	1	1	yes	characteristic
179	#384	C₂²×C₁₃	1	1	yes	characteristic
180	#384	C₂²×C₁₃	1	1	yes	characteristic
181	#382	—	2	1	no	—
182	C₄×C₄⋊C₄	—	2	1	no	—
183	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
184	C₄³	C₂²×C₁₃	1	1	yes	characteristic
185	#340	C₂²×C₁₃	1	4	yes	—
186	#340	C₂²×C₁₃	1	4	yes	—
187	#340	C₂²×C₁₃	1	4	yes	—
188	#336	C₂²×C₁₃	1	2	yes	—
189	C₂²×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
190	C₂²×C₁₃	#532	1	1	yes	characteristic
191	C₂²×C₁₃	#536	1	1	yes	characteristic
192	C₂²×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
193	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
194	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
195	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
196	C₄×C₁₃	—	2	2	no	—
197	C₄×C₁₃	—	2	2	no	—
198	C₄×C₁₃	—	4	1	no	—
199	C₄×C₁₃	—	4	1	no	—
200	C₄×C₁₃	—	4	4	no	—
201	C₄×C₁₃	—	8	2	no	—
202	C₄×C₁₃	—	8	2	no	—
203	C₄×C₁₃	—	8	2	no	—
204	C₄×C₁₃	#476	1	4	yes	—
205	C₄×C₁₃	#479	1	4	yes	—
206	C₄×C₁₃	#552	1	2	yes	—
207	C₄×C₁₃	#557	1	2	yes	—
208	C₂²×Q₈	—	2	1	no	—
209	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
210	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
211	C₄⋊Q₈	—	2	2	no	—
212	C₄⋊Q₈	Q₈×C₁₃	1	4	yes	—
213	#125	—	4	4	no	—
214	C₄×Q₈	—	4	4	no	—
215	C₂×C₄⋊C₄	—	2	1	no	—
216	C₂×C₄⋊C₄	—	2	1	no	—
217	C₂×C₄⋊C₄	—	2	2	no	—
218	C₂×C₄⋊C₄	—	2	1	no	—
219	C₂×C₄⋊C₄	—	2	1	no	—
220	C₂×C₄⋊C₄	—	2	2	no	—
221	C₂×C₄⋊C₄	—	2	2	no	—
222	C₂×C₄⋊C₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	1	no	—
224	C₂×C₄⋊C₄	—	2	1	no	—
225	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
226	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
227	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
228	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
229	C₂×C₄²	—	2	2	no	—
230	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
231	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
232	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
233	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
234	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
235	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
236	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
237	#106	—	2	8	no	—
238	C₄⋊C₈	—	2	4	no	—
239	C₄×C₈	—	2	2	no	—
240	C₄×C₈	—	2	2	no	—
241	#95	—	2	2	no	—
242	#95	—	2	2	no	—
243	#95	—	2	2	no	—
244	#95	—	2	2	no	—
245	C₂×C₁₃	#2565	1	1	yes	characteristic
246	C₂×C₁₃	C₂×#476	1	1	yes	characteristic
247	C₂×C₁₃	C₂×#479	1	1	yes	characteristic
248	C₂×C₁₃	#3167	1	1	yes	characteristic
249	C₂×C₁₃	#3182	1	1	yes	characteristic
250	C₂×C₁₃	#3228	1	1	yes	characteristic
251	C₂×C₁₃	#3229	1	1	yes	characteristic
252	C₂×Q₈	—	2	4	no	—
253	C₂×Q₈	—	4	2	no	—
254	C₂×Q₈	—	4	2	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
260	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
261	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
262	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
263	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
264	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
265	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	2	2	no	—
271	C₂×C₈	C₁₃×#41	1	4	yes	—
272	C₄⋊C₄	—	2	4	no	—
273	C₄⋊C₄	—	2	2	no	—
274	C₄⋊C₄	—	2	4	no	—
275	C₄⋊C₄	—	2	4	no	—
276	C₄⋊C₄	—	2	4	no	—
277	C₄⋊C₄	—	4	4	no	—
278	C₄⋊C₄	—	4	4	no	—
279	C₄⋊C₄	—	4	4	no	—
280	C₄⋊C₄	—	4	2	no	—
281	C₄⋊C₄	—	4	2	no	—
282	C₄⋊C₄	—	4	2	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄⋊C₄	—	4	2	no	—
286	C₄⋊C₄	C₂×Q₈×C₁₃	1	4	yes	—
287	C₄²	—	2	2	no	—
288	C₄²	—	2	2	no	—
289	C₄²	—	2	2	no	—
290	C₄²	—	2	2	no	—
291	C₄²	—	2	2	no	—
292	C₄²	—	4	4	no	—
293	C₄²	C₁₃×SD₁₆	1	4	yes	—
294	C₄²	C₂×Q₈×C₁₃	1	2	yes	—
295	C₄²	C₁₃×#41	1	2	yes	—
296	C₁₃	#29176	1	1	yes	characteristic, direct product factor, Sylow
297	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
298	Q₈	—	4	8	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	4	2	no	—
313	C₂×C₄	—	4	2	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
322	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
323	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
324	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
325	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
326	C₂×C₄	C₁₃×#135	1	2	yes	—
327	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	2	yes	—
328	C₂×C₄	C₁₃×#137	1	2	yes	—
329	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
330	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
331	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
332	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
333	C₈	—	2	4	no	—
334	C₈	—	4	2	no	—
335	C₂²	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
336	C₂²	C₁₃×#532	1	1	yes	characteristic
337	C₂²	C₁₃×#536	1	1	yes	characteristic
338	C₂²	C₂²×C₁₃×SD₁₆	1	1	yes	characteristic
339	C₂²	C₂×C₁₃×#135	1	1	yes	characteristic
340	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
341	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
342	C₄	—	2	2	no	—
343	C₄	—	2	2	no	—
344	C₄	—	4	4	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	1	no	—
347	C₄	—	8	2	no	—
348	C₄	—	8	2	no	—
349	C₄	—	8	2	no	—
350	C₄	C₁₃×#476	1	4	yes	—
351	C₄	C₁₃×#479	1	4	yes	—
352	C₄	C₁₃×#552	1	2	yes	—
353	C₄	C₁₃×#557	1	2	yes	—
354	C₂	C₁₃×#2565	1	1	yes	characteristic
355	C₂	C₂×C₁₃×#476	1	1	yes	characteristic
356	C₂	C₂×C₁₃×#479	1	1	yes	characteristic
357	C₂	C₁₃×#3167	1	1	yes	characteristic
358	C₂	C₁₃×#3182	1	1	yes	characteristic
359	C₂	C₁₃×#3228	1	1	yes	characteristic
360	C₂	C₁₃×#3229	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₄³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
72. #29176	C₁₃	direct (N × H)
296. C₁₃	#29176	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×#2859	2
C₄×C₁₃×C₄⋊Q₈	2
C₁₃×#2088	2
C₁₃×#1990	2
C₁₃×#1920	2
C₁₃×#1844	2
C₁₃×#1834	2
C₄×C₁₃×C₄⋊C₈	2
#29176	13

Subgroups — C13×#29176 #15715515

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#29176 #15715515