Subgroups — C₁₃×#33629 #15719968

Order 3328.

574 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#500	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2227	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2226	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2225	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2224	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2159	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2150	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2139	C₂	1	2	yes	maximal
10	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
12	C₄×C₁₃×#41	—	2	1	no	—
13	C₂×C₁₃×M₃₂	C₂²	1	2	yes	—
14	C₁₃×#500	—	2	1	no	—
15	C₁₃×#500	—	2	1	no	—
16	C₁₃×#500	C₂²	1	2	yes	—
17	C₁₃×#500	C₂²	1	2	yes	—
18	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
20	C₄×C₁₃×SD₁₆	—	2	1	no	—
21	C₄×C₁₃×SD₁₆	—	2	1	no	—
22	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
23	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
24	C₁₃×#427	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#107	—	2	1	no	—
26	C₂×C₁₃×#107	C₂²	1	2	yes	—
27	C₁₃×#416	—	2	1	no	—
28	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
29	C₁₃×#367	C₂²	1	4	yes	—
30	C₁₃×#366	C₂²	1	4	yes	—
31	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
32	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
33	C₁₃×#358	C₂²	1	4	yes	—
34	C₁₃×#357	C₂²	1	4	yes	—
35	C₂×C₁₃×#41	—	2	1	no	—
36	C₂²×Q₈×C₁₃	—	4	1	no	—
37	C₁₃×#135	—	2	2	no	—
38	C₁₃×#135	Q₈	1	4	yes	complemented
39	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
40	C₂×C₁₃×SD₁₆	—	2	1	no	—
41	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
43	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
44	C₁₃×C₄⋊Q₈	—	2	2	no	—
45	C₁₃×C₄⋊Q₈	—	2	2	no	—
46	C₁₃×C₄⋊Q₈	—	4	1	no	—
47	C₁₃×C₄⋊Q₈	—	4	1	no	—
48	C₄×Q₈×C₁₃	—	2	1	no	—
49	C₄×Q₈×C₁₃	—	2	1	no	—
50	C₄×D₄×C₁₃	—	2	1	no	—
51	C₄×D₄×C₁₃	—	2	1	no	—
52	C₄×D₄×C₁₃	—	4	1	no	—
53	C₄×D₄×C₁₃	—	4	1	no	—
54	C₁₃×#117	—	2	1	no	—
55	C₁₃×#117	—	4	1	no	—
56	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
57	C₂×C₁₃×C₄⋊C₄	—	4	1	no	—
58	C₂×C₄²×C₁₃	—	4	1	no	—
59	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
60	C₁₃×M₃₂	—	2	4	no	—
61	C₂×C₁₃×C₁₆	C₂³	1	4	yes	—
62	C₁₃×#107	—	2	2	no	—
63	C₁₃×#107	—	2	2	no	—
64	C₁₃×#107	—	2	2	no	—
65	C₁₃×#107	C₂³	1	4	yes	—
66	C₁₃×#107	C₂³	1	1	yes	characteristic
67	C₁₃×#107	C₂³	1	1	yes	characteristic
68	C₁₃×#106	—	2	1	no	—
69	C₁₃×#103	—	2	1	no	—
70	C₁₃×#103	—	2	1	no	—
71	C₁₃×#102	—	2	1	no	—
72	C₁₃×#102	—	2	1	no	—
73	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
74	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
75	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
76	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	#33629	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
78	C₁₃×#41	—	2	4	no	—
79	C₁₃×#41	—	4	2	no	—
80	C₂×Q₈×C₁₃	—	2	1	no	—
81	C₂×Q₈×C₁₃	—	4	2	no	—
82	C₂×Q₈×C₁₃	—	4	2	no	—
83	C₂×Q₈×C₁₃	—	8	4	no	—
84	C₂×D₄×C₁₃	—	2	1	no	—
85	C₂×D₄×C₁₃	—	4	1	no	—
86	C₂²×C₄×C₁₃	—	4	1	no	—
87	C₂²×C₄×C₁₃	—	4	2	no	—
88	C₂²×C₄×C₁₃	—	4	1	no	—
89	C₂²×C₄×C₁₃	—	4	1	no	—
90	C₂²×C₄×C₁₃	D₈	1	1	yes	characteristic
91	C₂²×C₄×C₁₃	D₈	1	1	yes	characteristic
92	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
93	C₁₃×Q₁₆	—	2	1	no	—
94	C₁₃×Q₁₆	C₂×Q₈	1	2	yes	complemented
95	C₁₃×SD₁₆	—	2	4	no	—
96	C₁₃×D₈	—	2	1	no	—
97	C₁₃×D₈	C₂×Q₈	1	2	yes	complemented
98	C₂×C₈×C₁₃	—	2	2	no	—
99	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
100	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
101	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
102	C₂×C₈×C₁₃	C₂×Q₈	1	2	yes	—
103	C₂×C₈×C₁₃	#41	1	2	yes	—
104	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
105	C₁₃×C₄⋊C₄	—	2	1	no	—
106	C₁₃×C₄⋊C₄	—	2	1	no	—
107	C₁₃×C₄⋊C₄	—	2	4	no	—
108	C₁₃×C₄⋊C₄	—	4	2	no	—
109	C₁₃×C₄⋊C₄	—	4	2	no	—
110	C₁₃×C₄⋊C₄	—	4	2	no	—
111	C₁₃×C₄⋊C₄	—	4	1	no	—
112	C₁₃×C₄⋊C₄	—	4	1	no	—
113	C₁₃×C₂²⋊C₄	—	4	1	no	—
114	C₁₃×C₂²⋊C₄	—	4	1	no	—
115	C₁₃×C₂²⋊C₄	—	4	1	no	—
116	C₄²×C₁₃	—	4	1	no	—
117	C₄²×C₁₃	—	4	1	no	—
118	C₄²×C₁₃	—	4	1	no	—
119	C₄²×C₁₃	D₈	1	1	yes	characteristic
120	C₄²×C₁₃	D₈	1	1	yes	characteristic
121	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
123	C₁₃×C₁₆	—	2	4	no	—
124	C₂×#500	C₂×C₁₃	1	1	yes	characteristic, complemented
125	C₄×#135	C₂×C₁₃	1	1	yes	characteristic
126	#2227	C₂×C₁₃	1	2	yes	complemented
127	#2226	C₂×C₁₃	1	2	yes	complemented
128	#2225	C₂×C₁₃	1	2	yes	complemented
129	#2224	C₂×C₁₃	1	2	yes	complemented
130	#2159	C₂×C₁₃	1	2	yes	complemented
131	#2150	C₂×C₁₃	1	1	yes	characteristic, complemented
132	#2139	C₂×C₁₃	1	2	yes	—
133	C₂³×C₁₃	—	4	1	no	—
134	C₂³×C₁₃	C₂×D₈	1	1	yes	characteristic
135	Q₈×C₁₃	—	2	2	no	—
136	Q₈×C₁₃	—	4	1	no	—
137	Q₈×C₁₃	—	8	4	no	—
138	Q₈×C₁₃	—	8	4	no	—
139	D₄×C₁₃	—	2	2	no	—
140	D₄×C₁₃	—	4	4	no	—
141	D₄×C₁₃	—	4	1	no	—
142	C₂×C₄×C₁₃	—	2	2	no	—
143	C₂×C₄×C₁₃	—	2	2	no	—
144	C₂×C₄×C₁₃	—	4	1	no	—
145	C₂×C₄×C₁₃	—	4	4	no	—
146	C₂×C₄×C₁₃	—	4	1	no	—
147	C₂×C₄×C₁₃	—	4	1	no	—
148	C₂×C₄×C₁₃	—	4	4	no	—
149	C₂×C₄×C₁₃	—	8	4	no	—
150	C₂×C₄×C₁₃	—	8	2	no	—
151	C₂×C₄×C₁₃	—	8	2	no	—
152	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
153	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
156	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
157	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
158	C₂×C₄×C₁₃	#137	1	2	yes	—
159	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
160	C₈×C₁₃	—	2	1	no	—
161	C₈×C₁₃	—	2	1	no	—
162	C₈×C₁₃	C₂²⋊Q₈	1	2	yes	—
163	C₈×C₁₃	C₂²×Q₈	1	1	yes	characteristic
164	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
165	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
166	C₂×C₄⋊Q₈	—	2	1	no	—
167	C₄×#41	—	2	1	no	—
168	C₂×M₃₂	C₂²×C₁₃	1	2	yes	—
169	#500	—	2	1	no	—
170	#500	—	2	1	no	—
171	#500	C₂²×C₁₃	1	2	yes	—
172	#500	C₂²×C₁₃	1	2	yes	—
173	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
174	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
175	C₄×SD₁₆	—	2	1	no	—
176	C₄×SD₁₆	—	2	1	no	—
177	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
178	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
179	#427	C₂²×C₁₃	1	1	yes	characteristic
180	C₂×#107	—	2	1	no	—
181	C₂×#107	C₂²×C₁₃	1	2	yes	—
182	#416	—	2	1	no	—
183	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
184	#367	C₂²×C₁₃	1	4	yes	—
185	#366	C₂²×C₁₃	1	4	yes	—
186	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
187	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
188	#358	C₂²×C₁₃	1	4	yes	—
189	#357	C₂²×C₁₃	1	4	yes	—
190	C₂²×C₁₃	—	2	1	no	—
191	C₂²×C₁₃	—	2	1	no	—
192	C₂²×C₁₃	—	4	2	no	—
193	C₂²×C₁₃	—	8	1	no	—
194	C₂²×C₁₃	—	8	1	no	—
195	C₂²×C₁₃	#474	1	2	yes	—
196	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
197	C₄×C₁₃	—	2	1	no	—
198	C₄×C₁₃	—	2	1	no	—
199	C₄×C₁₃	—	4	2	no	—
200	C₄×C₁₃	—	8	1	no	—
201	C₄×C₁₃	—	8	4	no	—
202	C₄×C₁₃	—	8	1	no	—
203	C₄×C₁₃	#474	1	2	yes	—
204	C₄×C₁₃	#509	1	2	yes	—
205	C₄×C₁₃	#510	1	2	yes	—
206	C₄×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
207	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
208	C₂×#41	—	2	1	no	—
209	C₂²×Q₈	—	4	1	no	—
210	#135	—	2	2	no	—
211	#135	Q₈×C₁₃	1	4	yes	complemented
212	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
213	C₂×SD₁₆	—	2	1	no	—
214	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
215	C₂²×C₈	D₄×C₁₃	1	1	yes	characteristic
216	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
217	C₄⋊Q₈	—	2	2	no	—
218	C₄⋊Q₈	—	2	2	no	—
219	C₄⋊Q₈	—	4	1	no	—
220	C₄⋊Q₈	—	4	1	no	—
221	C₄×Q₈	—	2	1	no	—
222	C₄×Q₈	—	2	1	no	—
223	C₄×D₄	—	2	1	no	—
224	C₄×D₄	—	2	1	no	—
225	C₄×D₄	—	4	1	no	—
226	C₄×D₄	—	4	1	no	—
227	#117	—	2	1	no	—
228	#117	—	4	1	no	—
229	C₂×C₄⋊C₄	—	2	2	no	—
230	C₂×C₄⋊C₄	—	4	1	no	—
231	C₂×C₄²	—	4	1	no	—
232	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
233	M₃₂	—	2	4	no	—
234	C₂×C₁₆	C₂³×C₁₃	1	4	yes	—
235	#107	—	2	2	no	—
236	#107	—	2	2	no	—
237	#107	—	2	2	no	—
238	#107	C₂³×C₁₃	1	4	yes	—
239	#107	C₂³×C₁₃	1	1	yes	characteristic
240	#107	C₂³×C₁₃	1	1	yes	characteristic
241	#106	—	2	1	no	—
242	#103	—	2	1	no	—
243	#103	—	2	1	no	—
244	#102	—	2	1	no	—
245	#102	—	2	1	no	—
246	C₄×C₈	D₄×C₁₃	1	1	yes	characteristic
247	C₄×C₈	D₄×C₁₃	1	1	yes	characteristic
248	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
249	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
250	C₂×C₁₃	—	2	2	no	—
251	C₂×C₁₃	—	8	2	no	—
252	C₂×C₁₃	C₂×#474	1	1	yes	characteristic
253	C₂×C₁₃	C₂×#509	1	1	yes	characteristic
254	C₂×C₁₃	C₂×#510	1	1	yes	characteristic
255	#41	—	2	4	no	—
256	#41	—	4	2	no	—
257	C₂×Q₈	—	2	1	no	—
258	C₂×Q₈	—	4	2	no	—
259	C₂×Q₈	—	4	2	no	—
260	C₂×Q₈	—	8	4	no	—
261	C₂×D₄	—	2	1	no	—
262	C₂×D₄	—	4	1	no	—
263	C₂²×C₄	—	4	1	no	—
264	C₂²×C₄	—	4	2	no	—
265	C₂²×C₄	—	4	1	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	C₁₃×D₈	1	1	yes	characteristic
268	C₂²×C₄	C₁₃×D₈	1	1	yes	characteristic
269	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
270	Q₁₆	—	2	1	no	—
271	Q₁₆	C₂×Q₈×C₁₃	1	2	yes	complemented
272	SD₁₆	—	2	4	no	—
273	D₈	—	2	1	no	—
274	D₈	C₂×Q₈×C₁₃	1	2	yes	complemented
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
277	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
278	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
279	C₂×C₈	C₂×Q₈×C₁₃	1	2	yes	—
280	C₂×C₈	C₁₃×#41	1	2	yes	—
281	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
282	C₄⋊C₄	—	2	1	no	—
283	C₄⋊C₄	—	2	1	no	—
284	C₄⋊C₄	—	2	4	no	—
285	C₄⋊C₄	—	4	2	no	—
286	C₄⋊C₄	—	4	2	no	—
287	C₄⋊C₄	—	4	2	no	—
288	C₄⋊C₄	—	4	1	no	—
289	C₄⋊C₄	—	4	1	no	—
290	C₂²⋊C₄	—	4	1	no	—
291	C₂²⋊C₄	—	4	1	no	—
292	C₂²⋊C₄	—	4	1	no	—
293	C₄²	—	4	1	no	—
294	C₄²	—	4	1	no	—
295	C₄²	—	4	1	no	—
296	C₄²	C₁₃×D₈	1	1	yes	characteristic
297	C₄²	C₁₃×D₈	1	1	yes	characteristic
298	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
299	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
300	C₁₆	—	2	4	no	—
301	C₁₃	#33629	1	1	yes	characteristic, direct product factor, Sylow
302	C₂³	—	4	1	no	—
303	C₂³	C₂×C₁₃×D₈	1	1	yes	characteristic
304	Q₈	—	2	2	no	—
305	Q₈	—	4	1	no	—
306	Q₈	—	8	4	no	—
307	Q₈	—	8	4	no	—
308	D₄	—	2	2	no	—
309	D₄	—	4	4	no	—
310	D₄	—	4	1	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	4	1	no	—
314	C₂×C₄	—	4	4	no	—
315	C₂×C₄	—	4	1	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	8	4	no	—
319	C₂×C₄	—	8	2	no	—
320	C₂×C₄	—	8	2	no	—
321	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
322	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
323	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
324	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
325	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
326	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
327	C₂×C₄	C₁₃×#137	1	2	yes	—
328	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
329	C₈	—	2	1	no	—
330	C₈	—	2	1	no	—
331	C₈	C₁₃×C₂²⋊Q₈	1	2	yes	—
332	C₈	C₂²×Q₈×C₁₃	1	1	yes	characteristic
333	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
334	C₂²	—	2	1	no	—
335	C₂²	—	2	1	no	—
336	C₂²	—	4	2	no	—
337	C₂²	—	8	1	no	—
338	C₂²	—	8	1	no	—
339	C₂²	C₁₃×#474	1	2	yes	—
340	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
341	C₄	—	2	1	no	—
342	C₄	—	2	1	no	—
343	C₄	—	4	2	no	—
344	C₄	—	8	1	no	—
345	C₄	—	8	4	no	—
346	C₄	—	8	1	no	—
347	C₄	C₁₃×#474	1	2	yes	—
348	C₄	C₁₃×#509	1	2	yes	—
349	C₄	C₁₃×#510	1	2	yes	—
350	C₄	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
351	C₄	C₂×C₁₃×#137	1	1	yes	characteristic
352	C₂	—	2	2	no	—
353	C₂	—	8	2	no	—
354	C₂	C₂×C₁₃×#474	1	1	yes	characteristic
355	C₂	C₂×C₁₃×#509	1	1	yes	characteristic
356	C₂	C₂×C₁₃×#510	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 ◁ C₂×C₄²×C₁₃ ◁ C₂×C₄×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#500	C₂	semidirect
3. C₁₃×#2227	C₂	semidirect
4. C₁₃×#2226	C₂	semidirect
5. C₁₃×#2225	C₂	semidirect
6. C₁₃×#2224	C₂	semidirect
7. C₁₃×#2159	C₂	semidirect
8. C₁₃×#2150	C₂	semidirect
38. C₁₃×#135	Q₈	semidirect
77. #33629	C₁₃	direct (N × H)
94. C₁₃×Q₁₆	C₂×Q₈	semidirect
97. C₁₃×D₈	C₂×Q₈	semidirect
124. C₂×#500	C₂×C₁₃	semidirect
126. #2227	C₂×C₁₃	semidirect
127. #2226	C₂×C₁₃	semidirect
128. #2225	C₂×C₁₃	semidirect
129. #2224	C₂×C₁₃	semidirect
130. #2159	C₂×C₁₃	semidirect
131. #2150	C₂×C₁₃	semidirect
211. #135	Q₈×C₁₃	semidirect
271. Q₁₆	C₂×Q₈×C₁₃	semidirect
274. D₈	C₂×Q₈×C₁₃	semidirect
301. C₁₃	#33629	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#500	2
C₄×C₁₃×#135	2
C₁₃×#2227	2
C₁₃×#2226	2
C₁₃×#2225	2
C₁₃×#2224	2
C₁₃×#2159	2
C₁₃×#2150	2
C₁₃×#2139	2
#33629	13

Subgroups — C13×#33629 #15719968

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33629 #15719968