Subgroups — C₁₃×#10848 #15697187

Order 3328.

802 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#423	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2285	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₃×#344	C₂	1	4	yes	maximal
5	C₂²×C₁₃×M₁₆	C₂²	1	2	yes	—
6	C₂²×C₁₃×M₁₆	C₂²	1	2	yes	—
7	C₂×C₁₃×#117	C₂²	1	2	yes	—
8	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
9	C₁₃×#423	—	2	1	no	—
10	C₁₃×#423	—	2	1	no	—
11	C₁₃×#423	C₄	1	4	yes	complemented
12	C₂×C₁₃×C₄⋊C₈	—	2	2	no	—
13	C₄×C₁₃×M₁₆	—	2	2	no	—
14	C₄×C₁₃×M₁₆	—	2	2	no	—
15	C₂×C₁₃×#97	C₄	1	2	yes	complemented
16	C₂×C₄×C₈×C₁₃	C₄	1	2	yes	complemented
17	C₁₃×#384	—	2	1	no	—
18	C₁₃×#382	—	2	1	no	—
19	C₁₃×#380	C₄	1	4	yes	—
20	C₄×C₁₃×C₄⋊C₄	—	2	2	no	—
21	C₁₃×#344	—	2	8	no	—
22	C₂³×C₄×C₁₃	C₂×C₄	1	2	yes	—
23	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
24	C₂×C₁₃×M₁₆	—	2	2	no	—
25	C₂×C₁₃×M₁₆	—	2	2	no	—
26	C₂×C₁₃×M₁₆	—	2	2	no	—
27	C₂×C₁₃×M₁₆	—	2	2	no	—
28	C₂×C₁₃×M₁₆	—	2	2	no	—
29	C₂×C₁₃×M₁₆	—	2	4	no	—
30	C₂×C₁₃×M₁₆	—	2	4	no	—
31	C₂×C₁₃×M₁₆	C₂×C₄	1	4	yes	—
32	C₂×C₁₃×M₁₆	D₄	1	4	yes	—
33	C₂×C₁₃×M₁₆	Q₈	1	4	yes	—
34	C₂²×C₈×C₁₃	—	2	2	no	—
35	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
36	C₁₃×#117	—	2	4	no	—
37	C₁₃×#117	—	2	4	no	—
38	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
39	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
40	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	4	yes	—
41	C₂×C₄²×C₁₃	—	2	2	no	—
42	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₁₃	D₄	1	2	yes	—
46	C₂×C₄²×C₁₃	D₄	1	2	yes	—
47	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
49	C₂×C₄²×C₁₃	Q₈	1	1	yes	characteristic
50	C₂×C₄²×C₁₃	Q₈	1	1	yes	characteristic
51	C₁₃×C₄⋊C₈	—	2	4	no	—
52	C₁₃×C₄⋊C₈	—	2	4	no	—
53	C₁₃×#97	—	2	4	no	—
54	C₄×C₈×C₁₃	—	2	4	no	—
55	C₁₃×#95	—	2	4	no	—
56	#10848	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
57	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
58	C₂²×C₄×C₁₃	—	2	4	no	—
59	C₂²×C₄×C₁₃	—	4	4	no	—
60	C₂²×C₄×C₁₃	C₄²	1	2	yes	—
61	C₂²×C₄×C₁₃	C₄²	1	2	yes	—
62	C₂²×C₄×C₁₃	C₂²⋊C₄	1	2	yes	—
63	C₂²×C₄×C₁₃	C₂²⋊C₄	1	2	yes	—
64	C₂²×C₄×C₁₃	C₄⋊C₄	1	2	yes	—
65	C₂²×C₄×C₁₃	C₄⋊C₄	1	2	yes	—
66	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
67	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
68	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
70	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
72	C₂²×C₄×C₁₃	C₂×Q₈	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
74	C₂²×C₄×C₁₃	#41	1	2	yes	—
75	C₂²×C₄×C₁₃	#41	1	2	yes	—
76	C₁₃×M₁₆	—	2	4	no	—
77	C₁₃×M₁₆	—	2	4	no	—
78	C₁₃×M₁₆	—	2	4	no	—
79	C₁₃×M₁₆	—	2	4	no	—
80	C₁₃×M₁₆	—	2	8	no	—
81	C₁₃×M₁₆	—	4	2	no	—
82	C₁₃×M₁₆	—	4	2	no	—
83	C₂×C₈×C₁₃	—	2	4	no	—
84	C₂×C₈×C₁₃	—	2	4	no	—
85	C₂×C₈×C₁₃	—	2	4	no	—
86	C₂×C₈×C₁₃	—	4	4	no	—
87	C₂×C₈×C₁₃	C₄⋊C₄	1	8	yes	complemented
88	C₁₃×C₄⋊C₄	—	4	8	no	—
89	C₁₃×C₄⋊C₄	—	4	2	no	—
90	C₁₃×C₄⋊C₄	—	4	2	no	—
91	C₁₃×C₂²⋊C₄	—	2	8	no	—
92	C₄²×C₁₃	—	4	4	no	—
93	C₄²×C₁₃	C₂²⋊C₄	1	2	yes	—
94	C₄²×C₁₃	C₂²⋊C₄	1	2	yes	—
95	C₄²×C₁₃	C₂²⋊C₄	1	2	yes	—
96	C₄²×C₁₃	C₂²⋊C₄	1	2	yes	—
97	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
98	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
99	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
100	C₄²×C₁₃	C₄⋊C₄	1	2	yes	—
101	C₄²×C₁₃	C₄⋊C₄	1	2	yes	—
102	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
103	C₂×#423	C₂×C₁₃	1	1	yes	characteristic
104	C₂×C₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic
105	#2285	C₂×C₁₃	1	1	yes	characteristic
106	C₂×#344	C₂×C₁₃	1	4	yes	—
107	C₂³×C₁₃	—	4	2	no	—
108	C₂³×C₁₃	C₂×C₄²	1	1	yes	characteristic
109	C₂³×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
110	C₂³×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
111	C₂³×C₁₃	C₄×D₄	1	2	yes	—
112	C₂³×C₁₃	C₄×Q₈	1	2	yes	—
113	C₂×C₄×C₁₃	—	2	4	no	—
114	C₂×C₄×C₁₃	—	2	4	no	—
115	C₂×C₄×C₁₃	—	2	4	no	—
116	C₂×C₄×C₁₃	—	4	2	no	—
117	C₂×C₄×C₁₃	—	4	2	no	—
118	C₂×C₄×C₁₃	—	4	2	no	—
119	C₂×C₄×C₁₃	—	4	8	no	—
120	C₂×C₄×C₁₃	—	4	4	no	—
121	C₂×C₄×C₁₃	#95	1	2	yes	—
122	C₂×C₄×C₁₃	#95	1	2	yes	—
123	C₂×C₄×C₁₃	#95	1	2	yes	—
124	C₂×C₄×C₁₃	#95	1	2	yes	—
125	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
126	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
127	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
128	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
129	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
130	C₂×C₄×C₁₃	#117	1	2	yes	—
131	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
132	C₂×C₄×C₁₃	C₄×Q₈	1	2	yes	—
133	C₂×C₄×C₁₃	#121	1	2	yes	—
134	C₂×C₄×C₁₃	#121	1	2	yes	—
135	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
136	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
137	C₂×C₄×C₁₃	#124	1	1	yes	characteristic
138	C₂×C₄×C₁₃	#124	1	1	yes	characteristic
139	C₂×C₄×C₁₃	#125	1	2	yes	—
140	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₄⋊Q₈	1	2	yes	—
142	C₂×C₄×C₁₃	C₄⋊Q₈	1	1	yes	characteristic
143	C₈×C₁₃	—	2	8	no	—
144	C₈×C₁₃	—	4	4	no	—
145	C₂²×M₁₆	C₂²×C₁₃	1	2	yes	—
146	C₂²×M₁₆	C₂²×C₁₃	1	2	yes	—
147	C₂×#117	C₂²×C₁₃	1	2	yes	—
148	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
149	#423	—	2	1	no	—
150	#423	—	2	1	no	—
151	#423	C₄×C₁₃	1	4	yes	complemented
152	C₂×C₄⋊C₈	—	2	2	no	—
153	C₄×M₁₆	—	2	2	no	—
154	C₄×M₁₆	—	2	2	no	—
155	C₂×#97	C₄×C₁₃	1	2	yes	complemented
156	C₂×C₄×C₈	C₄×C₁₃	1	2	yes	complemented
157	#384	—	2	1	no	—
158	#382	—	2	1	no	—
159	#380	C₄×C₁₃	1	4	yes	—
160	C₄×C₄⋊C₄	—	2	2	no	—
161	#344	—	2	8	no	—
162	C₂²×C₁₃	—	2	2	no	—
163	C₂²×C₁₃	—	2	2	no	—
164	C₂²×C₁₃	—	2	2	no	—
165	C₂²×C₁₃	—	4	2	no	—
166	C₂²×C₁₃	—	4	2	no	—
167	C₂²×C₁₃	C₂×#95	1	1	yes	characteristic
168	C₂²×C₁₃	C₄×C₄⋊C₄	1	2	yes	—
169	C₂²×C₁₃	#389	1	2	yes	—
170	C₂²×C₁₃	#390	1	1	yes	characteristic
171	C₂²×C₁₃	#391	1	1	yes	characteristic
172	C₄×C₁₃	—	2	2	no	—
173	C₄×C₁₃	—	2	2	no	—
174	C₄×C₁₃	—	2	2	no	—
175	C₄×C₁₃	—	8	4	no	—
176	C₄×C₁₃	#344	1	4	yes	complemented
177	C₄×C₁₃	#380	1	2	yes	—
178	C₄×C₁₃	#382	1	1	yes	characteristic
179	C₄×C₁₃	#384	1	1	yes	characteristic
180	C₄×C₁₃	#389	1	2	yes	—
181	C₄×C₁₃	#390	1	1	yes	characteristic
182	C₄×C₁₃	#391	1	1	yes	characteristic
183	C₂³×C₄	C₂×C₄×C₁₃	1	2	yes	—
184	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
185	C₂×M₁₆	—	2	2	no	—
186	C₂×M₁₆	—	2	2	no	—
187	C₂×M₁₆	—	2	2	no	—
188	C₂×M₁₆	—	2	2	no	—
189	C₂×M₁₆	—	2	2	no	—
190	C₂×M₁₆	—	2	4	no	—
191	C₂×M₁₆	—	2	4	no	—
192	C₂×M₁₆	C₂×C₄×C₁₃	1	4	yes	—
193	C₂×M₁₆	D₄×C₁₃	1	4	yes	—
194	C₂×M₁₆	Q₈×C₁₃	1	4	yes	—
195	C₂²×C₈	—	2	2	no	—
196	C₂²×C₈	C₂×C₄×C₁₃	1	4	yes	—
197	#117	—	2	4	no	—
198	#117	—	2	4	no	—
199	C₂×C₄⋊C₄	—	2	4	no	—
200	C₂×C₄⋊C₄	—	2	2	no	—
201	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	4	yes	—
202	C₂×C₄²	—	2	2	no	—
203	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
204	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
205	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
206	C₂×C₄²	D₄×C₁₃	1	2	yes	—
207	C₂×C₄²	D₄×C₁₃	1	2	yes	—
208	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
209	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
210	C₂×C₄²	Q₈×C₁₃	1	1	yes	characteristic
211	C₂×C₄²	Q₈×C₁₃	1	1	yes	characteristic
212	C₄⋊C₈	—	2	4	no	—
213	C₄⋊C₈	—	2	4	no	—
214	#97	—	2	4	no	—
215	C₄×C₈	—	2	4	no	—
216	#95	—	2	4	no	—
217	C₂×C₁₃	—	2	1	no	—
218	C₂×C₁₃	—	2	2	no	—
219	C₂×C₁₃	—	2	2	no	—
220	C₂×C₁₃	—	2	1	no	—
221	C₂×C₁₃	C₄⋊#95	1	1	yes	characteristic
222	C₂×C₁₃	C₂×#344	1	2	yes	—
223	C₂⁴	C₂²×C₄×C₁₃	1	1	yes	characteristic
224	C₂²×C₄	—	2	4	no	—
225	C₂²×C₄	—	4	4	no	—
226	C₂²×C₄	C₄²×C₁₃	1	2	yes	—
227	C₂²×C₄	C₄²×C₁₃	1	2	yes	—
228	C₂²×C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
229	C₂²×C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
230	C₂²×C₄	C₁₃×C₄⋊C₄	1	2	yes	—
231	C₂²×C₄	C₁₃×C₄⋊C₄	1	2	yes	—
232	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
233	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
234	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
235	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
236	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
237	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
238	C₂²×C₄	C₂×Q₈×C₁₃	1	1	yes	characteristic
239	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
240	C₂²×C₄	C₁₃×#41	1	2	yes	—
241	C₂²×C₄	C₁₃×#41	1	2	yes	—
242	M₁₆	—	2	4	no	—
243	M₁₆	—	2	4	no	—
244	M₁₆	—	2	4	no	—
245	M₁₆	—	2	4	no	—
246	M₁₆	—	2	8	no	—
247	M₁₆	—	4	2	no	—
248	M₁₆	—	4	2	no	—
249	C₂×C₈	—	2	4	no	—
250	C₂×C₈	—	2	4	no	—
251	C₂×C₈	—	2	4	no	—
252	C₂×C₈	—	4	4	no	—
253	C₂×C₈	C₁₃×C₄⋊C₄	1	8	yes	complemented
254	C₄⋊C₄	—	4	8	no	—
255	C₄⋊C₄	—	4	2	no	—
256	C₄⋊C₄	—	4	2	no	—
257	C₂²⋊C₄	—	2	8	no	—
258	C₄²	—	4	4	no	—
259	C₄²	C₁₃×C₂²⋊C₄	1	2	yes	—
260	C₄²	C₁₃×C₂²⋊C₄	1	2	yes	—
261	C₄²	C₁₃×C₂²⋊C₄	1	2	yes	—
262	C₄²	C₁₃×C₂²⋊C₄	1	2	yes	—
263	C₄²	C₁₃×C₄⋊C₄	1	1	yes	characteristic
264	C₄²	C₁₃×C₄⋊C₄	1	1	yes	characteristic
265	C₄²	C₁₃×C₄⋊C₄	1	1	yes	characteristic
266	C₄²	C₁₃×C₄⋊C₄	1	2	yes	—
267	C₄²	C₁₃×C₄⋊C₄	1	2	yes	—
268	C₄²	C₁₃×C₄⋊C₄	1	1	yes	characteristic
269	C₁₃	#10848	1	1	yes	characteristic, direct product factor, Sylow
270	C₂³	—	4	2	no	—
271	C₂³	C₂×C₄²×C₁₃	1	1	yes	characteristic
272	C₂³	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
273	C₂³	C₂×C₁₃×C₄⋊C₄	1	1	yes	characteristic
274	C₂³	C₄×D₄×C₁₃	1	2	yes	—
275	C₂³	C₄×Q₈×C₁₃	1	2	yes	—
276	C₂×C₄	—	2	4	no	—
277	C₂×C₄	—	2	4	no	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	4	2	no	—
280	C₂×C₄	—	4	2	no	—
281	C₂×C₄	—	4	2	no	—
282	C₂×C₄	—	4	8	no	—
283	C₂×C₄	—	4	4	no	—
284	C₂×C₄	C₁₃×#95	1	2	yes	—
285	C₂×C₄	C₁₃×#95	1	2	yes	—
286	C₂×C₄	C₁₃×#95	1	2	yes	—
287	C₂×C₄	C₁₃×#95	1	2	yes	—
288	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
289	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
290	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	2	yes	—
291	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	1	yes	characteristic
292	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	1	yes	characteristic
293	C₂×C₄	C₁₃×#117	1	2	yes	—
294	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
295	C₂×C₄	C₄×Q₈×C₁₃	1	2	yes	—
296	C₂×C₄	C₁₃×#121	1	2	yes	—
297	C₂×C₄	C₁₃×#121	1	2	yes	—
298	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
299	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
300	C₂×C₄	C₁₃×#124	1	1	yes	characteristic
301	C₂×C₄	C₁₃×#124	1	1	yes	characteristic
302	C₂×C₄	C₁₃×#125	1	2	yes	—
303	C₂×C₄	C₁₃×#127	1	1	yes	characteristic
304	C₂×C₄	C₁₃×C₄⋊Q₈	1	2	yes	—
305	C₂×C₄	C₁₃×C₄⋊Q₈	1	1	yes	characteristic
306	C₈	—	2	8	no	—
307	C₈	—	4	4	no	—
308	C₂²	—	2	2	no	—
309	C₂²	—	2	2	no	—
310	C₂²	—	2	2	no	—
311	C₂²	—	4	2	no	—
312	C₂²	—	4	2	no	—
313	C₂²	C₂×C₁₃×#95	1	1	yes	characteristic
314	C₂²	C₄×C₁₃×C₄⋊C₄	1	2	yes	—
315	C₂²	C₁₃×#389	1	2	yes	—
316	C₂²	C₁₃×#390	1	1	yes	characteristic
317	C₂²	C₁₃×#391	1	1	yes	characteristic
318	C₄	—	2	2	no	—
319	C₄	—	2	2	no	—
320	C₄	—	2	2	no	—
321	C₄	—	8	4	no	—
322	C₄	C₁₃×#344	1	4	yes	complemented
323	C₄	C₁₃×#380	1	2	yes	—
324	C₄	C₁₃×#382	1	1	yes	characteristic
325	C₄	C₁₃×#384	1	1	yes	characteristic
326	C₄	C₁₃×#389	1	2	yes	—
327	C₄	C₁₃×#390	1	1	yes	characteristic
328	C₄	C₁₃×#391	1	1	yes	characteristic
329	C₂	—	2	1	no	—
330	C₂	—	2	2	no	—
331	C₂	—	2	2	no	—
332	C₂	—	2	1	no	—
333	C₂	C₁₃×C₄⋊#95	1	1	yes	characteristic
334	C₂	C₂×C₁₃×#344	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂×C₂²⋊C₄
commutator	C₂³	C₂×C₄²×C₁₃
Frattini, cosocle	C₂³×C₄	C₂³×C₁₃
socle	C₂²×C₁₃	C₂×#95
prime radical	C₂⁴×C₁₃	C₂²×C₄
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ C₂²×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
11. C₁₃×#423	C₄	semidirect
15. C₂×C₁₃×#97	C₄	semidirect
16. C₂×C₄×C₈×C₁₃	C₄	semidirect
56. #10848	C₁₃	direct (N × H)
87. C₂×C₈×C₁₃	C₄⋊C₄	semidirect
151. #423	C₄×C₁₃	semidirect
155. C₂×#97	C₄×C₁₃	semidirect
156. C₂×C₄×C₈	C₄×C₁₃	semidirect
176. C₄×C₁₃	#344	semidirect
253. C₂×C₈	C₁₃×C₄⋊C₄	semidirect
269. C₁₃	#10848	direct (N × H)
322. C₄	C₁₃×#344	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#423	2
C₂×C₄×C₁₃×M₁₆	2
C₁₃×#2285	2
C₂×C₁₃×#344	2
#10848	13

Subgroups — C13×#10848 #15697187

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#10848 #15697187