Subgroups — C₁₃×#33631 #15719970

Order 3328.

556 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3164	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2948	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2228	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2228	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2226	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2224	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2159	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2158	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2151	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2140	C₂	1	1	yes	maximal, characteristic
11	C₂×C₁₃×#357	C₂	1	1	yes	maximal, characteristic
12	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
13	C₁₃×#544	—	2	1	no	—
14	C₁₃×#518	—	2	1	no	—
15	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
16	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
17	C₁₃×#501	—	2	2	no	—
18	C₁₃×#500	C₂²	1	2	yes	complemented
19	C₁₃×#499	C₂²	1	2	yes	complemented
20	C₁₃×#442	—	2	2	no	—
21	C₄×C₁₃×D₈	C₂²	1	2	yes	—
22	C₄×C₁₃×D₈	C₂²	1	2	yes	—
23	C₁₃×#428	—	2	1	no	—
24	C₁₃×#427	C₂²	1	1	yes	characteristic
25	C₁₃×#427	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
27	C₁₃×#418	—	2	1	no	—
28	C₁₃×#405	C₂²	1	1	yes	characteristic
29	C₁₃×#367	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#367	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#367	C₂²	1	2	yes	complemented
32	C₁₃×#366	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#366	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#366	C₂²	1	2	yes	complemented
35	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	complemented
36	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	complemented
37	C₁₃×#357	C₂²	1	2	yes	—
38	C₁₃×#357	C₂²	1	2	yes	—
39	C₁₃×#357	C₂²	1	2	yes	—
40	C₁₃×#357	C₂²	1	2	yes	—
41	C₂²×D₄×C₁₃	—	2	1	no	—
42	C₂×C₁₃×D₈	—	2	1	no	—
43	C₂×C₁₃×D₈	—	2	2	no	—
44	C₂×C₁₃×D₈	Q₈	1	4	yes	complemented
45	C₂×C₁₃×D₈	C₂³	1	2	yes	—
46	C₂×C₁₃×M₁₆	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
48	C₁₃×C₄⋊Q₈	—	2	2	no	—
49	C₁₃×C₄⋊Q₈	—	4	1	no	—
50	C₁₃×#125	—	2	2	no	—
51	C₁₃×#125	—	4	1	no	—
52	C₁₃×C₂²⋊Q₈	—	4	2	no	—
53	C₄×D₄×C₁₃	—	2	2	no	—
54	C₄×D₄×C₁₃	—	2	2	no	—
55	C₄×D₄×C₁₃	—	4	1	no	—
56	C₄×D₄×C₁₃	—	4	1	no	—
57	C₁₃×#117	—	2	1	no	—
58	C₁₃×#117	—	2	1	no	—
59	C₁₃×#117	D₄	1	1	yes	characteristic
60	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
61	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
62	C₁₃×M₃₂	—	2	2	no	—
63	C₂×C₁₃×C₁₆	—	2	2	no	—
64	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
65	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
66	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
67	C₁₃×#107	—	2	1	no	—
68	C₁₃×#107	—	2	2	no	—
69	C₁₃×#107	C₂³	1	2	yes	—
70	C₁₃×#107	C₂³	1	1	yes	characteristic
71	C₁₃×#107	C₂³	1	1	yes	characteristic
72	C₁₃×#107	C₂³	1	1	yes	characteristic
73	C₁₃×#107	C₂³	1	1	yes	characteristic
74	C₁₃×#106	—	2	1	no	—
75	C₁₃×#106	—	2	1	no	—
76	C₁₃×#106	—	2	2	no	—
77	C₁₃×#102	—	2	2	no	—
78	C₁₃×#102	—	2	2	no	—
79	C₁₃×#97	D₄	1	2	yes	—
80	C₄×C₈×C₁₃	C₂³	1	2	yes	—
81	#33631	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
82	C₂⁴×C₁₃	—	4	1	no	—
83	C₂×Q₈×C₁₃	—	4	2	no	—
84	C₂×D₄×C₁₃	—	2	4	no	—
85	C₂×D₄×C₁₃	—	2	2	no	—
86	C₂×D₄×C₁₃	—	4	1	no	—
87	C₂×D₄×C₁₃	—	4	2	no	—
88	C₂²×C₄×C₁₃	—	4	1	no	—
89	C₂²×C₄×C₁₃	—	4	2	no	—
90	C₂²×C₄×C₁₃	—	4	2	no	—
91	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
92	C₁₃×D₈	—	2	4	no	—
93	C₁₃×D₈	—	2	2	no	—
94	C₁₃×D₈	C₂×Q₈	1	4	yes	—
95	C₁₃×M₁₆	—	2	2	no	—
96	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
97	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
98	C₂×C₈×C₁₃	C₂×Q₈	1	2	yes	—
99	C₂×C₈×C₁₃	#41	1	2	yes	—
100	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
101	C₁₃×C₄⋊C₄	—	2	1	no	—
102	C₁₃×C₄⋊C₄	—	2	1	no	—
103	C₁₃×C₄⋊C₄	—	2	1	no	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	—	2	1	no	—
106	C₁₃×C₄⋊C₄	—	4	1	no	—
107	C₁₃×C₄⋊C₄	—	4	2	no	—
108	C₁₃×C₄⋊C₄	—	4	2	no	—
109	C₁₃×C₄⋊C₄	—	4	2	no	—
110	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
111	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
112	C₁₃×C₂²⋊C₄	—	4	1	no	—
113	C₁₃×C₂²⋊C₄	—	4	1	no	—
114	C₁₃×C₂²⋊C₄	—	4	2	no	—
115	C₁₃×C₂²⋊C₄	—	4	2	no	—
116	C₁₃×C₂²⋊C₄	D₈	1	2	yes	—
117	C₄²×C₁₃	—	4	1	no	—
118	C₄²×C₁₃	—	4	1	no	—
119	C₄²×C₁₃	C₂×D₄	1	2	yes	—
120	C₁₃×C₁₆	—	2	1	no	—
121	C₁₃×C₁₆	—	2	1	no	—
122	C₁₃×C₁₆	—	2	2	no	—
123	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
124	#2948	C₂×C₁₃	1	1	yes	characteristic
125	#2228	C₂×C₁₃	1	2	yes	complemented
126	#2228	C₂×C₁₃	1	2	yes	complemented
127	#2226	C₂×C₁₃	1	2	yes	complemented
128	#2224	C₂×C₁₃	1	2	yes	complemented
129	#2159	C₂×C₁₃	1	1	yes	characteristic, complemented
130	#2158	C₂×C₁₃	1	1	yes	characteristic, complemented
131	#2151	C₂×C₁₃	1	1	yes	characteristic, complemented
132	#2140	C₂×C₁₃	1	1	yes	characteristic
133	C₂×#357	C₂×C₁₃	1	1	yes	characteristic
134	C₂³×C₁₃	—	4	2	no	—
135	C₂³×C₁₃	—	4	4	no	—
136	C₂³×C₁₃	—	16	1	no	—
137	C₂³×C₁₃	—	16	1	no	—
138	C₂³×C₁₃	C₂×D₈	1	1	yes	characteristic
139	Q₈×C₁₃	—	16	2	no	—
140	D₄×C₁₃	—	2	4	no	—
141	D₄×C₁₃	—	4	2	no	—
142	D₄×C₁₃	—	4	4	no	—
143	C₂×C₄×C₁₃	—	4	1	no	—
144	C₂×C₄×C₁₃	—	4	1	no	—
145	C₂×C₄×C₁₃	—	4	1	no	—
146	C₂×C₄×C₁₃	—	4	1	no	—
147	C₂×C₄×C₁₃	—	4	2	no	—
148	C₂×C₄×C₁₃	—	16	2	no	—
149	C₂×C₄×C₁₃	—	16	2	no	—
150	C₂×C₄×C₁₃	—	16	1	no	—
151	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
152	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
153	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
154	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₁₃	#137	1	2	yes	—
156	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
157	C₈×C₁₃	—	2	2	no	—
158	C₈×C₁₃	C₂²⋊Q₈	1	2	yes	—
159	C₈×C₁₃	C₂²×Q₈	1	1	yes	characteristic
160	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
161	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
162	#544	—	2	1	no	—
163	#518	—	2	1	no	—
164	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
165	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
166	#501	—	2	2	no	—
167	#500	C₂²×C₁₃	1	2	yes	complemented
168	#499	C₂²×C₁₃	1	2	yes	complemented
169	#442	—	2	2	no	—
170	C₄×D₈	C₂²×C₁₃	1	2	yes	—
171	C₄×D₈	C₂²×C₁₃	1	2	yes	—
172	#428	—	2	1	no	—
173	#427	C₂²×C₁₃	1	1	yes	characteristic
174	#427	C₂²×C₁₃	1	1	yes	characteristic
175	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
176	#418	—	2	1	no	—
177	#405	C₂²×C₁₃	1	1	yes	characteristic
178	#367	C₂²×C₁₃	1	1	yes	characteristic, complemented
179	#367	C₂²×C₁₃	1	1	yes	characteristic, complemented
180	#367	C₂²×C₁₃	1	2	yes	complemented
181	#366	C₂²×C₁₃	1	1	yes	characteristic, complemented
182	#366	C₂²×C₁₃	1	1	yes	characteristic, complemented
183	#366	C₂²×C₁₃	1	2	yes	complemented
184	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	complemented
185	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	complemented
186	#357	C₂²×C₁₃	1	2	yes	—
187	#357	C₂²×C₁₃	1	2	yes	—
188	#357	C₂²×C₁₃	1	2	yes	—
189	#357	C₂²×C₁₃	1	2	yes	—
190	C₂²×C₁₃	—	2	1	no	—
191	C₂²×C₁₃	—	2	1	no	—
192	C₂²×C₁₃	—	4	4	no	—
193	C₂²×C₁₃	—	8	2	no	—
194	C₂²×C₁₃	—	8	2	no	—
195	C₂²×C₁₃	—	16	4	no	—
196	C₂²×C₁₃	#474	1	2	yes	—
197	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
198	C₄×C₁₃	—	2	2	no	—
199	C₄×C₁₃	—	2	2	no	—
200	C₄×C₁₃	—	8	1	no	—
201	C₄×C₁₃	—	8	2	no	—
202	C₄×C₁₃	—	8	1	no	—
203	C₄×C₁₃	—	8	1	no	—
204	C₄×C₁₃	—	8	1	no	—
205	C₄×C₁₃	#474	1	2	yes	—
206	C₄×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
207	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
208	C₂²×D₄	—	2	1	no	—
209	C₂×D₈	—	2	1	no	—
210	C₂×D₈	—	2	2	no	—
211	C₂×D₈	Q₈×C₁₃	1	4	yes	complemented
212	C₂×D₈	C₂³×C₁₃	1	2	yes	—
213	C₂×M₁₆	D₄×C₁₃	1	1	yes	characteristic
214	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
215	C₄⋊Q₈	—	2	2	no	—
216	C₄⋊Q₈	—	4	1	no	—
217	#125	—	2	2	no	—
218	#125	—	4	1	no	—
219	C₂²⋊Q₈	—	4	2	no	—
220	C₄×D₄	—	2	2	no	—
221	C₄×D₄	—	2	2	no	—
222	C₄×D₄	—	4	1	no	—
223	C₄×D₄	—	4	1	no	—
224	#117	—	2	1	no	—
225	#117	—	2	1	no	—
226	#117	D₄×C₁₃	1	1	yes	characteristic
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₂²⋊C₄	—	4	2	no	—
229	M₃₂	—	2	2	no	—
230	C₂×C₁₆	—	2	2	no	—
231	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
232	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
233	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
234	#107	—	2	1	no	—
235	#107	—	2	2	no	—
236	#107	C₂³×C₁₃	1	2	yes	—
237	#107	C₂³×C₁₃	1	1	yes	characteristic
238	#107	C₂³×C₁₃	1	1	yes	characteristic
239	#107	C₂³×C₁₃	1	1	yes	characteristic
240	#107	C₂³×C₁₃	1	1	yes	characteristic
241	#106	—	2	1	no	—
242	#106	—	2	1	no	—
243	#106	—	2	2	no	—
244	#102	—	2	2	no	—
245	#102	—	2	2	no	—
246	#97	D₄×C₁₃	1	2	yes	—
247	C₄×C₈	C₂³×C₁₃	1	2	yes	—
248	C₂×C₁₃	—	2	2	no	—
249	C₂×C₁₃	—	8	4	no	—
250	C₂×C₁₃	C₂×#474	1	1	yes	characteristic
251	C₂×C₁₃	#3415	1	1	yes	characteristic
252	C₂×C₁₃	#3416	1	1	yes	characteristic
253	C₂⁴	—	4	1	no	—
254	C₂×Q₈	—	4	2	no	—
255	C₂×D₄	—	2	4	no	—
256	C₂×D₄	—	2	2	no	—
257	C₂×D₄	—	4	1	no	—
258	C₂×D₄	—	4	2	no	—
259	C₂²×C₄	—	4	1	no	—
260	C₂²×C₄	—	4	2	no	—
261	C₂²×C₄	—	4	2	no	—
262	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
263	D₈	—	2	4	no	—
264	D₈	—	2	2	no	—
265	D₈	C₂×Q₈×C₁₃	1	4	yes	—
266	M₁₆	—	2	2	no	—
267	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
268	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
269	C₂×C₈	C₂×Q₈×C₁₃	1	2	yes	—
270	C₂×C₈	C₁₃×#41	1	2	yes	—
271	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
272	C₄⋊C₄	—	2	1	no	—
273	C₄⋊C₄	—	2	1	no	—
274	C₄⋊C₄	—	2	1	no	—
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	—	2	1	no	—
277	C₄⋊C₄	—	4	1	no	—
278	C₄⋊C₄	—	4	2	no	—
279	C₄⋊C₄	—	4	2	no	—
280	C₄⋊C₄	—	4	2	no	—
281	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
282	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
283	C₂²⋊C₄	—	4	1	no	—
284	C₂²⋊C₄	—	4	1	no	—
285	C₂²⋊C₄	—	4	2	no	—
286	C₂²⋊C₄	—	4	2	no	—
287	C₂²⋊C₄	C₁₃×D₈	1	2	yes	—
288	C₄²	—	4	1	no	—
289	C₄²	—	4	1	no	—
290	C₄²	C₂×D₄×C₁₃	1	2	yes	—
291	C₁₆	—	2	1	no	—
292	C₁₆	—	2	1	no	—
293	C₁₆	—	2	2	no	—
294	C₁₃	#33631	1	1	yes	characteristic, direct product factor, Sylow
295	C₂³	—	4	2	no	—
296	C₂³	—	4	4	no	—
297	C₂³	—	16	1	no	—
298	C₂³	—	16	1	no	—
299	C₂³	C₂×C₁₃×D₈	1	1	yes	characteristic
300	Q₈	—	16	2	no	—
301	D₄	—	2	4	no	—
302	D₄	—	4	4	no	—
303	D₄	—	4	2	no	—
304	C₂×C₄	—	4	1	no	—
305	C₂×C₄	—	4	1	no	—
306	C₂×C₄	—	4	1	no	—
307	C₂×C₄	—	4	1	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	16	2	no	—
310	C₂×C₄	—	16	2	no	—
311	C₂×C₄	—	16	1	no	—
312	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
313	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
314	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
315	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
316	C₂×C₄	C₁₃×#137	1	2	yes	—
317	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
318	C₈	—	2	2	no	—
319	C₈	C₁₃×C₂²⋊Q₈	1	2	yes	—
320	C₈	C₂²×Q₈×C₁₃	1	1	yes	characteristic
321	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
322	C₂²	—	2	1	no	—
323	C₂²	—	2	1	no	—
324	C₂²	—	4	4	no	—
325	C₂²	—	8	2	no	—
326	C₂²	—	8	2	no	—
327	C₂²	—	16	4	no	—
328	C₂²	C₁₃×#474	1	2	yes	—
329	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
330	C₄	—	2	2	no	—
331	C₄	—	2	2	no	—
332	C₄	—	8	1	no	—
333	C₄	—	8	2	no	—
334	C₄	—	8	1	no	—
335	C₄	—	8	1	no	—
336	C₄	—	8	1	no	—
337	C₄	C₁₃×#474	1	2	yes	—
338	C₄	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
339	C₄	C₂×C₁₃×#137	1	1	yes	characteristic
340	C₂	—	2	2	no	—
341	C₂	—	8	4	no	—
342	C₂	C₂×C₁₃×#474	1	1	yes	characteristic
343	C₂	C₁₃×#3415	1	1	yes	characteristic
344	C₂	C₁₃×#3416	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
prime radical	C₂²×C₁₃×D₈	C₂²
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#117 ◁ C₁₃×#405 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3164	C₂	semidirect
3. C₁₃×#2228	C₂	semidirect
4. C₁₃×#2228	C₂	semidirect
5. C₁₃×#2226	C₂	semidirect
6. C₁₃×#2224	C₂	semidirect
7. C₁₃×#2159	C₂	semidirect
8. C₁₃×#2158	C₂	semidirect
9. C₁₃×#2151	C₂	semidirect
18. C₁₃×#500	C₂²	semidirect
19. C₁₃×#499	C₂²	semidirect
29. C₁₃×#367	C₂²	semidirect
30. C₁₃×#367	C₂²	semidirect
31. C₁₃×#367	C₂²	semidirect
32. C₁₃×#366	C₂²	semidirect
33. C₁₃×#366	C₂²	semidirect
34. C₁₃×#366	C₂²	semidirect
35. C₁₃×C₄⋊C₁₆	C₂²	semidirect
36. C₁₃×C₄⋊C₁₆	C₂²	semidirect
44. C₂×C₁₃×D₈	Q₈	semidirect
81. #33631	C₁₃	direct (N × H)
123. #3164	C₂×C₁₃	semidirect
125. #2228	C₂×C₁₃	semidirect
126. #2228	C₂×C₁₃	semidirect
127. #2226	C₂×C₁₃	semidirect
128. #2224	C₂×C₁₃	semidirect
129. #2159	C₂×C₁₃	semidirect
130. #2158	C₂×C₁₃	semidirect
131. #2151	C₂×C₁₃	semidirect
167. #500	C₂²×C₁₃	semidirect
168. #499	C₂²×C₁₃	semidirect
178. #367	C₂²×C₁₃	semidirect
179. #367	C₂²×C₁₃	semidirect
180. #367	C₂²×C₁₃	semidirect
181. #366	C₂²×C₁₃	semidirect
182. #366	C₂²×C₁₃	semidirect
183. #366	C₂²×C₁₃	semidirect
184. C₄⋊C₁₆	C₂²×C₁₃	semidirect
185. C₄⋊C₁₆	C₂²×C₁₃	semidirect
211. C₂×D₈	Q₈×C₁₃	semidirect
294. C₁₃	#33631	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×#3164	2
C₁₃×#2948	2
C₁₃×#2228	2
C₁₃×#2226	2
C₁₃×#2224	2
C₁₃×#2159	2
C₁₃×#2158	2
C₁₃×#2151	2
C₁₃×#2140	2
C₂×C₁₃×#357	2
#33631	13

Subgroups — C13×#33631 #15719970

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33631 #15719970