Subgroups — C₁₃×#33703 #15720042

Order 3328.

570 conjugacy classes of subgroups.

The subgroup lattice has 372 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×#3156	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2245	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2243	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2242	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2241	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2141	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2139	C₂	1	1	yes	maximal, characteristic
9	C₁₃×#2138	C₂	1	1	yes	maximal, characteristic
10	C₂×C₁₃×#358	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2108	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#137	—	2	1	no	—
13	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
14	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
15	C₁₃×#544	—	2	1	no	—
16	C₁₃×#536	—	2	1	no	—
17	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
19	C₁₃×#501	—	2	2	no	—
20	C₁₃×#500	C₂²	1	2	yes	—
21	C₁₃×#499	C₂²	1	2	yes	—
22	C₁₃×#497	—	2	2	no	—
23	C₁₃×#495	C₂²	1	2	yes	—
24	C₁₃×#494	C₂²	1	2	yes	—
25	C₁₃×#428	—	2	1	no	—
26	C₁₃×#427	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
28	C₁₃×#405	C₂²	1	1	yes	characteristic
29	C₁₃×#358	C₂²	1	1	yes	characteristic
30	C₁₃×#358	C₂²	1	2	yes	—
31	C₁₃×#358	C₂²	1	2	yes	—
32	C₁₃×#358	C₂²	1	2	yes	—
33	C₁₃×#358	C₂²	1	2	yes	—
34	C₁₃×#358	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	1	yes	characteristic
39	C₁₃×#346	C₂²	1	2	yes	—
40	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
41	C₂×C₁₃×#41	—	2	1	no	—
42	C₂²×Q₈×C₁₃	—	2	1	no	—
43	C₁₃×#137	—	4	4	no	—
44	C₁₃×#135	—	2	2	no	—
45	C₁₃×#135	—	2	2	no	—
46	C₂×C₁₃×Q₁₆	—	2	2	no	—
47	C₂×C₁₃×Q₁₆	—	2	1	no	—
48	C₂×C₁₃×Q₁₆	—	2	2	no	—
49	C₂×C₁₃×Q₁₆	—	2	2	no	—
50	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
51	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
52	C₂×C₁₃×SD₁₆	—	2	2	no	—
53	C₂×C₁₃×SD₁₆	—	2	1	no	—
54	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
55	C₂×C₁₃×M₁₆	D₄	1	1	yes	characteristic
56	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
57	C₁₃×C₄⋊Q₈	—	2	2	no	—
58	C₁₃×C₄⋊Q₈	—	2	2	no	—
59	C₁₃×C₄⋊Q₈	—	4	1	no	—
60	C₁₃×#125	—	2	2	no	—
61	C₁₃×#125	—	4	1	no	—
62	C₁₃×#124	—	2	2	no	—
63	C₁₃×#123	—	4	2	no	—
64	C₁₃×C₂²⋊Q₈	—	4	1	no	—
65	C₁₃×C₂²⋊Q₈	—	4	1	no	—
66	C₁₃×C₂²⋊Q₈	—	4	2	no	—
67	C₁₃×#117	—	2	1	no	—
68	C₁₃×#117	D₄	1	1	yes	characteristic
69	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
70	C₁₃×M₃₂	—	2	2	no	—
71	C₂×C₁₃×C₁₆	—	2	2	no	—
72	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
73	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
74	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
75	C₁₃×#107	—	2	1	no	—
76	C₁₃×#107	—	2	2	no	—
77	C₁₃×#107	C₂³	1	2	yes	—
78	C₁₃×#107	C₂³	1	1	yes	characteristic
79	C₁₃×#107	C₂³	1	1	yes	characteristic
80	C₁₃×#106	—	2	1	no	—
81	C₁₃×#106	—	2	2	no	—
82	C₁₃×#97	D₄	1	2	yes	—
83	C₄×C₈×C₁₃	C₂³	1	2	yes	—
84	#33703	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
85	C₁₃×#41	—	4	2	no	—
86	C₁₃×#41	—	4	2	no	—
87	C₂×Q₈×C₁₃	—	2	2	no	—
88	C₂×Q₈×C₁₃	—	2	1	no	—
89	C₂×Q₈×C₁₃	—	4	1	no	—
90	C₂×Q₈×C₁₃	—	4	2	no	—
91	C₂×Q₈×C₁₃	—	4	2	no	—
92	C₂×Q₈×C₁₃	—	4	2	no	—
93	C₂×D₄×C₁₃	—	2	1	no	—
94	C₂×D₄×C₁₃	—	4	1	no	—
95	C₂²×C₄×C₁₃	—	4	1	no	—
96	C₂²×C₄×C₁₃	—	4	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	—	2	1	no	—
102	C₁₃×Q₁₆	—	2	1	no	—
103	C₁₃×Q₁₆	—	4	2	no	—
104	C₁₃×Q₁₆	—	4	4	no	—
105	C₁₃×SD₁₆	—	4	2	no	—
106	C₁₃×SD₁₆	—	4	4	no	—
107	C₁₃×D₈	—	2	1	no	—
108	C₁₃×D₈	—	2	1	no	—
109	C₁₃×M₁₆	SD₁₆	1	4	yes	—
110	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
112	C₂×C₈×C₁₃	#41	1	2	yes	—
113	C₂×C₈×C₁₃	#41	1	2	yes	—
114	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
115	C₁₃×C₄⋊C₄	—	2	1	no	—
116	C₁₃×C₄⋊C₄	—	2	2	no	—
117	C₁₃×C₄⋊C₄	—	2	1	no	—
118	C₁₃×C₄⋊C₄	—	4	1	no	—
119	C₁₃×C₄⋊C₄	—	4	2	no	—
120	C₁₃×C₄⋊C₄	—	4	2	no	—
121	C₁₃×C₄⋊C₄	—	4	2	no	—
122	C₁₃×C₄⋊C₄	—	4	2	no	—
123	C₁₃×C₄⋊C₄	—	4	2	no	—
124	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
125	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
126	C₁₃×C₂²⋊C₄	—	4	1	no	—
127	C₁₃×C₂²⋊C₄	—	4	2	no	—
128	C₁₃×C₂²⋊C₄	—	4	2	no	—
129	C₁₃×C₂²⋊C₄	D₈	1	2	yes	—
130	C₄²×C₁₃	—	4	1	no	—
131	C₄²×C₁₃	C₂×D₄	1	2	yes	—
132	C₁₃×C₁₆	—	2	1	no	—
133	C₁₃×C₁₆	—	2	1	no	—
134	C₁₃×C₁₆	—	2	2	no	—
135	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
136	#3156	C₂×C₁₃	1	1	yes	characteristic
137	#2245	C₂×C₁₃	1	2	yes	complemented
138	#2243	C₂×C₁₃	1	2	yes	complemented
139	#2242	C₂×C₁₃	1	2	yes	complemented
140	#2241	C₂×C₁₃	1	2	yes	complemented
141	#2141	C₂×C₁₃	1	1	yes	characteristic, complemented
142	#2139	C₂×C₁₃	1	1	yes	characteristic
143	#2138	C₂×C₁₃	1	1	yes	characteristic
144	C₂×#358	C₂×C₁₃	1	1	yes	characteristic, complemented
145	#2108	C₂×C₁₃	1	1	yes	characteristic, complemented
146	C₂³×C₁₃	—	4	1	no	—
147	C₂³×C₁₃	C₂×D₈	1	1	yes	characteristic
148	Q₈×C₁₃	—	4	1	no	—
149	Q₈×C₁₃	—	4	2	no	—
150	Q₈×C₁₃	—	4	2	no	—
151	Q₈×C₁₃	—	4	1	no	—
152	Q₈×C₁₃	—	8	2	no	—
153	Q₈×C₁₃	—	16	2	no	—
154	D₄×C₁₃	—	4	1	no	—
155	D₄×C₁₃	—	4	1	no	—
156	D₄×C₁₃	—	8	2	no	—
157	C₂×C₄×C₁₃	—	4	1	no	—
158	C₂×C₄×C₁₃	—	4	1	no	—
159	C₂×C₄×C₁₃	—	4	2	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	4	1	no	—
162	C₂×C₄×C₁₃	—	8	2	no	—
163	C₂×C₄×C₁₃	—	8	2	no	—
164	C₂×C₄×C₁₃	—	16	1	no	—
165	C₂×C₄×C₁₃	#124	1	2	yes	—
166	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
167	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
168	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
169	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
170	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
171	C₈×C₁₃	#124	1	2	yes	—
172	C₈×C₁₃	C₂×SD₁₆	1	4	yes	—
173	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
174	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
175	C₂×#137	—	2	1	no	—
176	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
177	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
178	#544	—	2	1	no	—
179	#536	—	2	1	no	—
180	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
181	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
182	#501	—	2	2	no	—
183	#500	C₂²×C₁₃	1	2	yes	—
184	#499	C₂²×C₁₃	1	2	yes	—
185	#497	—	2	2	no	—
186	#495	C₂²×C₁₃	1	2	yes	—
187	#494	C₂²×C₁₃	1	2	yes	—
188	#428	—	2	1	no	—
189	#427	C₂²×C₁₃	1	1	yes	characteristic
190	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
191	#405	C₂²×C₁₃	1	1	yes	characteristic
192	#358	C₂²×C₁₃	1	2	yes	—
193	#358	C₂²×C₁₃	1	2	yes	—
194	#358	C₂²×C₁₃	1	1	yes	characteristic
195	#358	C₂²×C₁₃	1	1	yes	characteristic
196	#358	C₂²×C₁₃	1	2	yes	—
197	#358	C₂²×C₁₃	1	2	yes	—
198	#358	C₂²×C₁₃	1	2	yes	—
199	#357	C₂²×C₁₃	1	1	yes	characteristic
200	#357	C₂²×C₁₃	1	1	yes	characteristic
201	#357	C₂²×C₁₃	1	2	yes	—
202	#346	C₂²×C₁₃	1	2	yes	—
203	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
204	C₂²×C₁₃	—	2	1	no	—
205	C₂²×C₁₃	—	2	1	no	—
206	C₂²×C₁₃	—	8	1	no	—
207	C₂²×C₁₃	—	8	1	no	—
208	C₂²×C₁₃	—	8	1	no	—
209	C₂²×C₁₃	#486	1	2	yes	—
210	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
211	C₄×C₁₃	—	2	2	no	—
212	C₄×C₁₃	—	2	2	no	—
213	C₄×C₁₃	—	8	1	no	—
214	C₄×C₁₃	—	8	2	no	—
215	C₄×C₁₃	—	8	2	no	—
216	C₄×C₁₃	—	8	1	no	—
217	C₄×C₁₃	—	8	1	no	—
218	C₄×C₁₃	#486	1	2	yes	—
219	C₄×C₁₃	C₂×#124	1	1	yes	characteristic
220	C₄×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
221	C₂×#41	—	2	1	no	—
222	C₂²×Q₈	—	2	1	no	—
223	#137	—	4	4	no	—
224	#135	—	2	2	no	—
225	#135	—	2	2	no	—
226	C₂×Q₁₆	—	2	1	no	—
227	C₂×Q₁₆	—	2	2	no	—
228	C₂×Q₁₆	—	2	2	no	—
229	C₂×Q₁₆	—	2	2	no	—
230	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
231	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
232	C₂×SD₁₆	—	2	1	no	—
233	C₂×SD₁₆	—	2	2	no	—
234	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
235	C₂×M₁₆	D₄×C₁₃	1	1	yes	characteristic
236	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
237	C₄⋊Q₈	—	2	2	no	—
238	C₄⋊Q₈	—	2	2	no	—
239	C₄⋊Q₈	—	4	1	no	—
240	#125	—	2	2	no	—
241	#125	—	4	1	no	—
242	#124	—	2	2	no	—
243	#123	—	4	2	no	—
244	C₂²⋊Q₈	—	4	1	no	—
245	C₂²⋊Q₈	—	4	1	no	—
246	C₂²⋊Q₈	—	4	2	no	—
247	#117	—	2	1	no	—
248	#117	D₄×C₁₃	1	1	yes	characteristic
249	C₂×C₄⋊C₄	—	2	1	no	—
250	M₃₂	—	2	2	no	—
251	C₂×C₁₆	—	2	2	no	—
252	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
253	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
254	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
255	#107	—	2	1	no	—
256	#107	—	2	2	no	—
257	#107	C₂³×C₁₃	1	2	yes	—
258	#107	C₂³×C₁₃	1	1	yes	characteristic
259	#107	C₂³×C₁₃	1	1	yes	characteristic
260	#106	—	2	1	no	—
261	#106	—	2	2	no	—
262	#97	D₄×C₁₃	1	2	yes	—
263	C₄×C₈	C₂³×C₁₃	1	2	yes	—
264	C₂×C₁₃	—	2	2	no	—
265	C₂×C₁₃	—	16	1	no	—
266	C₂×C₁₃	C₂×#486	1	1	yes	characteristic
267	C₂×C₁₃	#3416	1	1	yes	characteristic
268	C₂×C₁₃	#3417	1	1	yes	characteristic
269	#41	—	4	2	no	—
270	#41	—	4	2	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	2	1	no	—
273	C₂×Q₈	—	4	1	no	—
274	C₂×Q₈	—	4	2	no	—
275	C₂×Q₈	—	4	2	no	—
276	C₂×Q₈	—	4	2	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	4	1	no	—
279	C₂²×C₄	—	4	1	no	—
280	C₂²×C₄	—	4	1	no	—
281	C₂²×C₄	—	4	1	no	—
282	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
283	Q₁₆	—	2	2	no	—
284	Q₁₆	—	2	2	no	—
285	Q₁₆	—	2	1	no	—
286	Q₁₆	—	2	1	no	—
287	Q₁₆	—	4	2	no	—
288	Q₁₆	—	4	4	no	—
289	SD₁₆	—	4	2	no	—
290	SD₁₆	—	4	4	no	—
291	D₈	—	2	1	no	—
292	D₈	—	2	1	no	—
293	M₁₆	C₁₃×SD₁₆	1	4	yes	—
294	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
295	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
296	C₂×C₈	C₁₃×#41	1	2	yes	—
297	C₂×C₈	C₁₃×#41	1	2	yes	—
298	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	4	1	no	—
303	C₄⋊C₄	—	4	2	no	—
304	C₄⋊C₄	—	4	2	no	—
305	C₄⋊C₄	—	4	2	no	—
306	C₄⋊C₄	—	4	2	no	—
307	C₄⋊C₄	—	4	2	no	—
308	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
309	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
310	C₂²⋊C₄	—	4	1	no	—
311	C₂²⋊C₄	—	4	2	no	—
312	C₂²⋊C₄	—	4	2	no	—
313	C₂²⋊C₄	C₁₃×D₈	1	2	yes	—
314	C₄²	—	4	1	no	—
315	C₄²	C₂×D₄×C₁₃	1	2	yes	—
316	C₁₆	—	2	1	no	—
317	C₁₆	—	2	1	no	—
318	C₁₆	—	2	2	no	—
319	C₁₃	#33703	1	1	yes	characteristic, direct product factor, Sylow
320	C₂³	—	4	1	no	—
321	C₂³	C₂×C₁₃×D₈	1	1	yes	characteristic
322	Q₈	—	4	1	no	—
323	Q₈	—	4	2	no	—
324	Q₈	—	4	2	no	—
325	Q₈	—	4	1	no	—
326	Q₈	—	8	2	no	—
327	Q₈	—	16	2	no	—
328	D₄	—	4	1	no	—
329	D₄	—	4	1	no	—
330	D₄	—	8	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	8	2	no	—
337	C₂×C₄	—	8	2	no	—
338	C₂×C₄	—	16	1	no	—
339	C₂×C₄	C₁₃×#124	1	2	yes	—
340	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
341	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
342	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
343	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
344	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
345	C₈	C₁₃×#124	1	2	yes	—
346	C₈	C₂×C₁₃×SD₁₆	1	4	yes	—
347	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
348	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	8	1	no	—
352	C₂²	—	8	1	no	—
353	C₂²	—	8	1	no	—
354	C₂²	C₁₃×#486	1	2	yes	—
355	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
356	C₄	—	2	2	no	—
357	C₄	—	2	2	no	—
358	C₄	—	8	1	no	—
359	C₄	—	8	2	no	—
360	C₄	—	8	2	no	—
361	C₄	—	8	1	no	—
362	C₄	—	8	1	no	—
363	C₄	C₁₃×#486	1	2	yes	—
364	C₄	C₂×C₁₃×#124	1	1	yes	characteristic
365	C₄	C₂²×C₁₃×SD₁₆	1	1	yes	characteristic
366	C₂	—	2	2	no	—
367	C₂	—	16	1	no	—
368	C₂	C₂×C₁₃×#486	1	1	yes	characteristic
369	C₂	C₁₃×#3416	1	1	yes	characteristic
370	C₂	C₁₃×#3417	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#135	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×#2245	C₂	semidirect
4. C₁₃×#2243	C₂	semidirect
5. C₁₃×#2242	C₂	semidirect
6. C₁₃×#2241	C₂	semidirect
7. C₁₃×#2141	C₂	semidirect
10. C₂×C₁₃×#358	C₂	semidirect
11. C₁₃×#2108	C₂	semidirect
84. #33703	C₁₃	direct (N × H)
135. #3164	C₂×C₁₃	semidirect
137. #2245	C₂×C₁₃	semidirect
138. #2243	C₂×C₁₃	semidirect
139. #2242	C₂×C₁₃	semidirect
140. #2241	C₂×C₁₃	semidirect
141. #2141	C₂×C₁₃	semidirect
144. C₂×#358	C₂×C₁₃	semidirect
145. #2108	C₂×C₁₃	semidirect
319. C₁₃	#33703	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×#3156	2
C₁₃×#2245	2
C₁₃×#2243	2
C₁₃×#2242	2
C₁₃×#2241	2
C₁₃×#2141	2
C₁₃×#2139	2
C₁₃×#2138	2
C₂×C₁₃×#358	2
C₁₃×#2108	2
#33703	13

Subgroups — C13×#33703 #15720042

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33703 #15720042