Subgroups — C₁₃×#33966 #15720305

Order 3328.

566 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3391	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2250	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2246	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2210	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2207	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2206	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2206	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2183	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2177	C₂	1	2	yes	maximal, complemented
11	C₄×C₁₃×SD₃₂	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#559	—	2	1	no	—
13	C₁₃×#550	—	2	1	no	—
14	C₂×C₁₃×SD₃₂	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×SD₃₂	C₂²	1	2	yes	—
16	C₂×C₁₃×D₁₆	C₂²	1	2	yes	—
17	C₂×C₁₃×D₁₆	C₂²	1	2	yes	—
18	C₂×C₁₃×D₁₆	C₂²	1	2	yes	—
19	C₁₃×#495	C₂²	1	2	yes	—
20	C₁₃×#493	C₂²	1	1	yes	characteristic
21	C₁₃×#493	C₂²	1	1	yes	characteristic
22	C₁₃×#493	C₂²	1	2	yes	—
23	C₁₃×#463	—	2	2	no	—
24	C₁₃×#460	—	2	1	no	—
25	C₁₃×#459	—	2	1	no	—
26	C₁₃×#459	—	2	2	no	—
27	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
28	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
29	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
30	C₄×C₁₃×D₈	C₂²	1	2	yes	—
31	C₄×C₁₃×D₈	C₂²	1	2	yes	—
32	C₁₃×#367	C₂²	1	1	yes	characteristic
33	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
34	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
35	C₁₃×#358	C₂²	1	1	yes	characteristic
36	C₁₃×#357	C₂²	1	1	yes	characteristic
37	C₁₃×#357	C₂²	1	2	yes	—
38	C₁₃×#357	C₂²	1	2	yes	—
39	C₁₃×#346	C₂²	1	2	yes	—
40	C₄×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#41	—	4	1	no	—
42	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
43	C₂×C₁₃×SD₁₆	—	2	2	no	—
44	C₂×C₁₃×D₈	—	2	2	no	—
45	C₂×C₁₃×D₈	—	2	1	no	—
46	C₂×C₁₃×D₈	—	2	1	no	—
47	C₂×C₁₃×D₈	C₂³	1	2	yes	—
48	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
49	C₂×C₁₃×D₈	C₂³	1	2	yes	—
50	C₁₃×#127	—	2	2	no	—
51	C₁₃×#127	—	2	1	no	—
52	C₁₃×#127	—	2	1	no	—
53	C₁₃×#124	—	2	2	no	—
54	C₁₃×#124	—	4	1	no	—
55	C₁₃×#123	—	4	2	no	—
56	C₁₃×#121	—	4	1	no	—
57	C₁₃×#121	—	4	2	no	—
58	C₄×Q₈×C₁₃	—	2	1	no	—
59	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
60	C₄×D₄×C₁₃	—	2	2	no	—
61	C₄×D₄×C₁₃	—	2	1	no	—
62	C₄×D₄×C₁₃	—	2	2	no	—
63	C₄×D₄×C₁₃	—	4	1	no	—
64	C₁₃×SD₃₂	—	2	2	no	—
65	C₁₃×SD₃₂	—	4	2	no	—
66	C₁₃×D₁₆	—	2	4	no	—
67	C₁₃×D₁₆	—	4	2	no	—
68	C₁₃×D₁₆	—	4	2	no	—
69	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
70	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
71	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
72	C₁₃×#107	C₂³	1	1	yes	characteristic
73	C₁₃×#107	C₂³	1	1	yes	characteristic
74	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
75	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
76	C₁₃×#103	—	2	1	no	—
77	C₁₃×#102	—	2	2	no	—
78	C₁₃×#102	—	2	1	no	—
79	C₁₃×#102	—	2	2	no	—
80	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₄×C₈×C₁₃	C₂³	1	2	yes	—
82	#33966	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
83	C₁₃×#41	—	8	4	no	—
84	C₂×Q₈×C₁₃	—	2	1	no	—
85	C₂×Q₈×C₁₃	D₈	1	1	yes	characteristic
86	C₂×D₄×C₁₃	—	2	2	no	—
87	C₂×D₄×C₁₃	—	2	2	no	—
88	C₂×D₄×C₁₃	—	2	1	no	—
89	C₂×D₄×C₁₃	—	4	1	no	—
90	C₂×D₄×C₁₃	—	4	2	no	—
91	C₂×D₄×C₁₃	—	4	1	no	—
92	C₂×D₄×C₁₃	—	4	2	no	—
93	C₂×D₄×C₁₃	—	4	1	no	—
94	C₂×D₄×C₁₃	—	4	1	no	—
95	C₂²×C₄×C₁₃	—	4	2	no	—
96	C₂²×C₄×C₁₃	—	4	1	no	—
97	C₂²×C₄×C₁₃	—	4	2	no	—
98	C₁₃×Q₁₆	—	2	1	no	—
99	C₁₃×Q₁₆	—	2	1	no	—
100	C₁₃×SD₁₆	—	8	2	no	—
101	C₁₃×D₈	—	2	2	no	—
102	C₁₃×D₈	—	2	2	no	—
103	C₁₃×D₈	—	2	1	no	—
104	C₁₃×D₈	—	2	1	no	—
105	C₁₃×D₈	—	2	2	no	—
106	C₁₃×D₈	—	2	2	no	—
107	C₁₃×D₈	—	8	1	no	—
108	C₁₃×D₈	—	8	1	no	—
109	C₁₃×D₈	—	8	2	no	—
110	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
111	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
113	C₁₃×C₄⋊C₄	—	2	1	no	—
114	C₁₃×C₄⋊C₄	—	2	1	no	—
115	C₁₃×C₄⋊C₄	—	4	1	no	—
116	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
117	C₁₃×C₄⋊C₄	D₈	1	2	yes	—
118	C₁₃×C₂²⋊C₄	—	4	2	no	—
119	C₁₃×C₂²⋊C₄	—	4	1	no	—
120	C₁₃×C₂²⋊C₄	—	4	2	no	—
121	C₁₃×C₂²⋊C₄	—	4	2	no	—
122	C₁₃×C₂²⋊C₄	—	4	2	no	—
123	C₄²×C₁₃	—	4	1	no	—
124	C₄²×C₁₃	C₂×D₄	1	2	yes	—
125	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₁₃×C₁₆	—	2	1	no	—
127	C₁₃×C₁₆	—	2	2	no	—
128	C₁₃×C₁₆	#41	1	2	yes	complemented
129	#3396	C₂×C₁₃	1	1	yes	characteristic, complemented
130	#3391	C₂×C₁₃	1	1	yes	characteristic, complemented
131	#2250	C₂×C₁₃	1	2	yes	complemented
132	#2246	C₂×C₁₃	1	1	yes	characteristic, complemented
133	#2210	C₂×C₁₃	1	2	yes	complemented
134	#2207	C₂×C₁₃	1	1	yes	characteristic, complemented
135	#2206	C₂×C₁₃	1	2	yes	complemented
136	#2206	C₂×C₁₃	1	1	yes	characteristic, complemented
137	#2183	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#2177	C₂×C₁₃	1	2	yes	complemented
139	C₄×SD₃₂	C₂×C₁₃	1	1	yes	characteristic, complemented
140	C₂³×C₁₃	—	4	2	no	—
141	C₂³×C₁₃	—	4	2	no	—
142	C₂³×C₁₃	—	4	1	no	—
143	Q₈×C₁₃	—	2	2	no	—
144	Q₈×C₁₃	—	4	1	no	—
145	Q₈×C₁₃	—	4	1	no	—
146	D₄×C₁₃	—	4	2	no	—
147	D₄×C₁₃	—	4	2	no	—
148	D₄×C₁₃	—	4	1	no	—
149	D₄×C₁₃	—	4	2	no	—
150	D₄×C₁₃	—	4	1	no	—
151	D₄×C₁₃	—	4	2	no	—
152	D₄×C₁₃	—	8	4	no	—
153	D₄×C₁₃	—	8	2	no	—
154	D₄×C₁₃	—	8	2	no	—
155	D₄×C₁₃	—	16	2	no	—
156	D₄×C₁₃	—	16	1	no	—
157	D₄×C₁₃	—	16	1	no	—
158	C₂×C₄×C₁₃	—	4	1	no	—
159	C₂×C₄×C₁₃	—	4	1	no	—
160	C₂×C₄×C₁₃	—	4	1	no	—
161	C₂×C₄×C₁₃	—	8	4	no	—
162	C₂×C₄×C₁₃	—	8	2	no	—
163	C₂×C₄×C₁₃	—	16	2	no	—
164	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
165	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
166	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
167	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
168	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
169	C₈×C₁₃	—	2	1	no	—
170	C₈×C₁₃	—	2	2	no	—
171	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
172	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
173	#559	—	2	1	no	—
174	#550	—	2	1	no	—
175	C₂×SD₃₂	C₂²×C₁₃	1	1	yes	characteristic
176	C₂×SD₃₂	C₂²×C₁₃	1	2	yes	—
177	C₂×D₁₆	C₂²×C₁₃	1	2	yes	—
178	C₂×D₁₆	C₂²×C₁₃	1	2	yes	—
179	C₂×D₁₆	C₂²×C₁₃	1	2	yes	—
180	#495	C₂²×C₁₃	1	2	yes	—
181	#493	C₂²×C₁₃	1	2	yes	—
182	#493	C₂²×C₁₃	1	1	yes	characteristic
183	#493	C₂²×C₁₃	1	1	yes	characteristic
184	#463	—	2	2	no	—
185	#460	—	2	1	no	—
186	#459	—	2	1	no	—
187	#459	—	2	2	no	—
188	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
189	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
190	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
191	C₄×D₈	C₂²×C₁₃	1	2	yes	—
192	C₄×D₈	C₂²×C₁₃	1	2	yes	—
193	#367	C₂²×C₁₃	1	1	yes	characteristic
194	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
195	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
196	#358	C₂²×C₁₃	1	1	yes	characteristic
197	#357	C₂²×C₁₃	1	1	yes	characteristic
198	#357	C₂²×C₁₃	1	2	yes	—
199	#357	C₂²×C₁₃	1	2	yes	—
200	#346	C₂²×C₁₃	1	2	yes	—
201	C₄×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
202	C₂²×C₁₃	—	8	2	no	—
203	C₂²×C₁₃	—	8	1	no	—
204	C₂²×C₁₃	—	8	2	no	—
205	C₂²×C₁₃	—	8	2	no	—
206	C₂²×C₁₃	—	8	1	no	—
207	C₂²×C₁₃	—	8	2	no	—
208	C₂²×C₁₃	—	8	2	no	—
209	C₂²×C₁₃	—	8	1	no	—
210	C₂²×C₁₃	—	8	2	no	—
211	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
212	C₄×C₁₃	—	2	2	no	—
213	C₄×C₁₃	—	2	2	no	—
214	C₄×C₁₃	—	2	1	no	—
215	C₄×C₁₃	—	8	1	no	—
216	C₄×C₁₃	—	8	1	no	—
217	C₄×C₁₃	—	8	1	no	—
218	C₄×C₁₃	#509	1	2	yes	—
219	C₄×C₁₃	#550	1	1	yes	characteristic
220	C₄×C₁₃	#576	1	1	yes	characteristic
221	C₂×#41	—	4	1	no	—
222	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
223	C₂×SD₁₆	—	2	2	no	—
224	C₂×D₈	—	2	2	no	—
225	C₂×D₈	—	2	1	no	—
226	C₂×D₈	—	2	1	no	—
227	C₂×D₈	C₂³×C₁₃	1	2	yes	—
228	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
229	C₂×D₈	C₂³×C₁₃	1	2	yes	—
230	#127	—	2	2	no	—
231	#127	—	2	1	no	—
232	#127	—	2	1	no	—
233	#124	—	2	2	no	—
234	#124	—	4	1	no	—
235	#123	—	4	2	no	—
236	#121	—	4	1	no	—
237	#121	—	4	2	no	—
238	C₄×Q₈	—	2	1	no	—
239	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
240	C₄×D₄	—	2	2	no	—
241	C₄×D₄	—	2	1	no	—
242	C₄×D₄	—	2	2	no	—
243	C₄×D₄	—	4	1	no	—
244	SD₃₂	—	2	2	no	—
245	SD₃₂	—	4	2	no	—
246	D₁₆	—	2	4	no	—
247	D₁₆	—	4	2	no	—
248	D₁₆	—	4	2	no	—
249	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
250	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
251	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
252	#107	C₂³×C₁₃	1	1	yes	characteristic
253	#107	C₂³×C₁₃	1	1	yes	characteristic
254	C₄⋊C₈	D₄×C₁₃	1	1	yes	characteristic
255	C₄⋊C₈	D₄×C₁₃	1	2	yes	—
256	#103	—	2	1	no	—
257	#102	—	2	2	no	—
258	#102	—	2	1	no	—
259	#102	—	2	2	no	—
260	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
261	C₄×C₈	C₂³×C₁₃	1	2	yes	—
262	C₂×C₁₃	—	16	2	no	—
263	C₂×C₁₃	—	16	1	no	—
264	C₂×C₁₃	—	16	2	no	—
265	C₂×C₁₃	#3391	1	1	yes	characteristic
266	C₂×C₁₃	C₂×#509	1	1	yes	characteristic
267	C₂×C₁₃	#3415	1	1	yes	characteristic
268	#41	—	8	4	no	—
269	C₂×Q₈	—	2	1	no	—
270	C₂×Q₈	C₁₃×D₈	1	1	yes	characteristic
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	4	1	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂×D₄	—	4	1	no	—
277	C₂×D₄	—	4	2	no	—
278	C₂×D₄	—	4	1	no	—
279	C₂×D₄	—	4	1	no	—
280	C₂²×C₄	—	4	2	no	—
281	C₂²×C₄	—	4	1	no	—
282	C₂²×C₄	—	4	2	no	—
283	Q₁₆	—	2	1	no	—
284	Q₁₆	—	2	1	no	—
285	SD₁₆	—	8	2	no	—
286	D₈	—	2	2	no	—
287	D₈	—	2	2	no	—
288	D₈	—	2	1	no	—
289	D₈	—	2	1	no	—
290	D₈	—	2	2	no	—
291	D₈	—	2	2	no	—
292	D₈	—	8	1	no	—
293	D₈	—	8	1	no	—
294	D₈	—	8	2	no	—
295	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
296	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
297	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
298	C₄⋊C₄	—	2	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	4	1	no	—
301	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
302	C₄⋊C₄	C₁₃×D₈	1	2	yes	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₂²⋊C₄	—	4	1	no	—
305	C₂²⋊C₄	—	4	2	no	—
306	C₂²⋊C₄	—	4	2	no	—
307	C₂²⋊C₄	—	4	2	no	—
308	C₄²	—	4	1	no	—
309	C₄²	C₂×D₄×C₁₃	1	2	yes	—
310	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
311	C₁₆	—	2	1	no	—
312	C₁₆	—	2	2	no	—
313	C₁₆	C₁₃×#41	1	2	yes	complemented
314	C₁₃	#33966	1	1	yes	characteristic, direct product factor, Sylow
315	C₂³	—	4	2	no	—
316	C₂³	—	4	2	no	—
317	C₂³	—	4	1	no	—
318	Q₈	—	2	2	no	—
319	Q₈	—	4	1	no	—
320	Q₈	—	4	1	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	2	no	—
323	D₄	—	4	1	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	1	no	—
326	D₄	—	4	2	no	—
327	D₄	—	8	4	no	—
328	D₄	—	8	2	no	—
329	D₄	—	8	2	no	—
330	D₄	—	16	2	no	—
331	D₄	—	16	1	no	—
332	D₄	—	16	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	8	4	no	—
337	C₂×C₄	—	8	2	no	—
338	C₂×C₄	—	16	2	no	—
339	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
340	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
341	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
342	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
343	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
344	C₈	—	2	1	no	—
345	C₈	—	2	2	no	—
346	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
347	C₈	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
348	C₂²	—	8	2	no	—
349	C₂²	—	8	1	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	8	1	no	—
353	C₂²	—	8	2	no	—
354	C₂²	—	8	2	no	—
355	C₂²	—	8	1	no	—
356	C₂²	—	8	2	no	—
357	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
358	C₄	—	2	2	no	—
359	C₄	—	2	2	no	—
360	C₄	—	2	1	no	—
361	C₄	—	8	1	no	—
362	C₄	—	8	1	no	—
363	C₄	—	8	1	no	—
364	C₄	C₁₃×#509	1	2	yes	—
365	C₄	C₁₃×#550	1	1	yes	characteristic
366	C₄	C₁₃×#576	1	1	yes	characteristic
367	C₂	—	16	2	no	—
368	C₂	—	16	1	no	—
369	C₂	—	16	2	no	—
370	C₂	C₁₃×#3391	1	1	yes	characteristic
371	C₂	C₂×C₁₃×#509	1	1	yes	characteristic
372	C₂	C₁₃×#3415	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×Q₈×C₁₃ ◁ C₈×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3396	C₂	semidirect
2. C₁₃×#3391	C₂	semidirect
3. C₁₃×#2250	C₂	semidirect
4. C₁₃×#2246	C₂	semidirect
5. C₁₃×#2210	C₂	semidirect
6. C₁₃×#2207	C₂	semidirect
7. C₁₃×#2206	C₂	semidirect
8. C₁₃×#2206	C₂	semidirect
9. C₁₃×#2183	C₂	semidirect
10. C₁₃×#2177	C₂	semidirect
11. C₄×C₁₃×SD₃₂	C₂	semidirect
82. #33966	C₁₃	direct (N × H)
128. C₁₃×C₁₆	#41	semidirect
129. #3396	C₂×C₁₃	semidirect
130. #3391	C₂×C₁₃	semidirect
131. #2250	C₂×C₁₃	semidirect
132. #2246	C₂×C₁₃	semidirect
133. #2210	C₂×C₁₃	semidirect
134. #2207	C₂×C₁₃	semidirect
135. #2206	C₂×C₁₃	semidirect
136. #2206	C₂×C₁₃	semidirect
137. #2183	C₂×C₁₃	semidirect
138. #2177	C₂×C₁₃	semidirect
139. C₄×SD₃₂	C₂×C₁₃	semidirect
313. C₁₆	C₁₃×#41	semidirect
314. C₁₃	#33966	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×#3396	2
C₁₃×#3391	2
C₁₃×#2250	2
C₁₃×#2246	2
C₁₃×#2210	2
C₁₃×#2207	2
C₁₃×#2206	2
C₁₃×#2183	2
C₁₃×#2177	2
C₄×C₁₃×SD₃₂	2
#33966	13

Subgroups — C13×#33966 #15720305

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33966 #15720305