Subgroups — C₁₃×#33899 #15720238

Order 3328.

590 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×#3334	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2240	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2233	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2225	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2218	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2206	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2186	C₂	1	2	yes	maximal, complemented
9	C₄×C₁₃×SD₃₂	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2169	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2139	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₃×#135	C₂²	1	2	yes	—
13	C₁₃×#550	—	2	1	no	—
14	C₁₃×#547	—	2	1	no	—
15	C₂×C₁₃×SD₃₂	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×D₁₆	C₂²	1	2	yes	—
17	C₂×C₁₃×M₃₂	C₂²	1	2	yes	—
18	C₁₃×#500	C₂²	1	1	yes	characteristic
19	C₁₃×#493	C₂²	1	1	yes	characteristic
20	C₁₃×#480	—	2	2	no	—
21	C₁₃×#474	—	2	1	no	—
22	C₁₃×#466	C₂²	1	2	yes	—
23	C₁₃×#466	C₂²	1	2	yes	—
24	C₁₃×#460	—	2	1	no	—
25	C₁₃×#449	—	2	2	no	—
26	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
27	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
28	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#107	C₂²	1	2	yes	—
30	C₁₃×#367	C₂²	1	1	yes	characteristic
31	C₁₃×#367	C₂²	1	2	yes	—
32	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
33	C₁₃×#358	C₂²	1	1	yes	characteristic
34	C₁₃×#358	C₂²	1	2	yes	—
35	C₁₃×#357	C₂²	1	2	yes	—
36	C₁₃×#357	C₂²	1	2	yes	—
37	C₁₃×#357	C₂²	1	2	yes	—
38	C₁₃×#357	C₂²	1	1	yes	characteristic
39	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
40	C₄×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#41	—	2	2	no	—
42	C₂×C₁₃×#41	—	4	1	no	—
43	C₁₃×#135	—	2	4	no	—
44	C₁₃×#135	—	4	2	no	—
45	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
46	C₂×C₁₃×SD₁₆	—	2	2	no	—
47	C₂×C₁₃×D₈	—	2	1	no	—
48	C₂×C₁₃×D₈	C₂³	1	2	yes	—
49	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
50	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
51	C₁₃×C₄⋊Q₈	—	2	1	no	—
52	C₁₃×#127	—	2	1	no	—
53	C₁₃×#127	—	4	1	no	—
54	C₁₃×#123	—	4	2	no	—
55	C₁₃×C₂²⋊Q₈	—	4	1	no	—
56	C₁₃×#121	—	2	2	no	—
57	C₁₃×#121	—	2	2	no	—
58	C₁₃×#121	—	4	2	no	—
59	C₄×Q₈×C₁₃	—	2	1	no	—
60	C₄×D₄×C₁₃	—	2	1	no	—
61	C₄×D₄×C₁₃	—	4	1	no	—
62	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
63	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
64	C₁₃×SD₃₂	—	2	2	no	—
65	C₁₃×D₁₆	—	4	2	no	—
66	C₁₃×M₃₂	—	4	2	no	—
67	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
68	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
69	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
70	C₁₃×#107	—	2	2	no	—
71	C₁₃×#107	—	2	1	no	—
72	C₁₃×#107	C₂³	1	1	yes	characteristic
73	C₁₃×#107	C₂³	1	2	yes	—
74	C₁₃×#107	C₂³	1	1	yes	characteristic
75	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
76	C₁₃×#103	—	2	1	no	—
77	C₁₃×#102	—	2	1	no	—
78	C₁₃×#102	—	2	2	no	—
79	C₁₃×#102	—	2	2	no	—
80	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
81	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	#33899	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
83	C₁₃×#41	—	4	4	no	—
84	C₁₃×#41	—	8	2	no	—
85	C₁₃×#41	—	8	4	no	—
86	C₂×Q₈×C₁₃	—	2	1	no	—
87	C₂×Q₈×C₁₃	—	4	1	no	—
88	C₂×D₄×C₁₃	—	2	1	no	—
89	C₂×D₄×C₁₃	—	2	2	no	—
90	C₂×D₄×C₁₃	—	4	2	no	—
91	C₂×D₄×C₁₃	—	4	2	no	—
92	C₂×D₄×C₁₃	—	4	2	no	—
93	C₂×D₄×C₁₃	—	4	1	no	—
94	C₂×D₄×C₁₃	—	4	1	no	—
95	C₂×D₄×C₁₃	D₈	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	—	4	2	no	—
97	C₂²×C₄×C₁₃	—	4	1	no	—
98	C₂²×C₄×C₁₃	—	4	2	no	—
99	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
100	C₁₃×Q₁₆	—	2	1	no	—
101	C₁₃×Q₁₆	#41	1	2	yes	complemented
102	C₁₃×SD₁₆	—	4	4	no	—
103	C₁₃×D₈	—	2	1	no	—
104	C₁₃×D₈	—	2	2	no	—
105	C₁₃×D₈	—	2	1	no	—
106	C₁₃×D₈	—	2	2	no	—
107	C₁₃×D₈	—	8	1	no	—
108	C₂×C₈×C₁₃	—	2	2	no	—
109	C₂×C₈×C₁₃	—	2	2	no	—
110	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
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	—	2	2	no	—
116	C₁₃×C₄⋊C₄	—	4	2	no	—
117	C₁₃×C₄⋊C₄	—	4	1	no	—
118	C₁₃×C₄⋊C₄	—	4	1	no	—
119	C₁₃×C₄⋊C₄	D₈	1	1	yes	characteristic
120	C₁₃×C₂²⋊C₄	—	4	1	no	—
121	C₁₃×C₂²⋊C₄	—	4	2	no	—
122	C₁₃×C₂²⋊C₄	—	4	2	no	—
123	C₁₃×C₂²⋊C₄	D₈	1	2	yes	—
124	C₄²×C₁₃	—	4	1	no	—
125	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₁₃×C₁₆	—	2	1	no	—
127	C₁₃×C₁₆	—	2	1	no	—
128	C₁₃×C₁₆	—	2	2	no	—
129	#3334	C₂×C₁₃	1	1	yes	characteristic, complemented
130	#3287	C₂×C₁₃	1	1	yes	characteristic, complemented
131	#2240	C₂×C₁₃	1	1	yes	characteristic, complemented
132	#2233	C₂×C₁₃	1	2	yes	complemented
133	#2225	C₂×C₁₃	1	1	yes	characteristic, complemented
134	#2218	C₂×C₁₃	1	2	yes	complemented
135	#2206	C₂×C₁₃	1	1	yes	characteristic, complemented
136	#2186	C₂×C₁₃	1	2	yes	complemented
137	C₄×SD₃₂	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#2169	C₂×C₁₃	1	1	yes	characteristic, complemented
139	#2139	C₂×C₁₃	1	2	yes	complemented
140	C₂³×C₁₃	—	4	1	no	—
141	C₂³×C₁₃	—	4	2	no	—
142	C₂³×C₁₃	C₂×D₈	1	2	yes	—
143	Q₈×C₁₃	—	2	2	no	—
144	Q₈×C₁₃	—	4	1	no	—
145	Q₈×C₁₃	—	8	2	no	—
146	D₄×C₁₃	—	2	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	—	8	4	no	—
152	D₄×C₁₃	—	8	4	no	—
153	D₄×C₁₃	—	8	2	no	—
154	D₄×C₁₃	—	16	1	no	—
155	D₄×C₁₃	—	16	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	2	2	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	—	4	2	no	—
162	C₂×C₄×C₁₃	—	8	4	no	—
163	C₂×C₄×C₁₃	—	8	4	no	—
164	C₂×C₄×C₁₃	—	8	2	no	—
165	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
167	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
168	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
169	C₈×C₁₃	—	2	2	no	—
170	C₈×C₁₃	—	2	1	no	—
171	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
172	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
173	C₂×#135	C₂²×C₁₃	1	2	yes	—
174	#550	—	2	1	no	—
175	#547	—	2	1	no	—
176	C₂×SD₃₂	C₂²×C₁₃	1	1	yes	characteristic
177	C₂×D₁₆	C₂²×C₁₃	1	2	yes	—
178	C₂×M₃₂	C₂²×C₁₃	1	2	yes	—
179	#500	C₂²×C₁₃	1	1	yes	characteristic
180	#493	C₂²×C₁₃	1	1	yes	characteristic
181	#480	—	2	2	no	—
182	#474	—	2	1	no	—
183	#466	C₂²×C₁₃	1	2	yes	—
184	#466	C₂²×C₁₃	1	2	yes	—
185	#460	—	2	1	no	—
186	#449	—	2	2	no	—
187	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
188	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
189	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
190	C₂×#107	C₂²×C₁₃	1	2	yes	—
191	#367	C₂²×C₁₃	1	1	yes	characteristic
192	#367	C₂²×C₁₃	1	2	yes	—
193	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
194	#358	C₂²×C₁₃	1	1	yes	characteristic
195	#358	C₂²×C₁₃	1	2	yes	—
196	#357	C₂²×C₁₃	1	2	yes	—
197	#357	C₂²×C₁₃	1	2	yes	—
198	#357	C₂²×C₁₃	1	1	yes	characteristic
199	#357	C₂²×C₁₃	1	2	yes	—
200	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
201	C₄×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
202	C₂²×C₁₃	—	2	2	no	—
203	C₂²×C₁₃	—	2	2	no	—
204	C₂²×C₁₃	—	2	2	no	—
205	C₂²×C₁₃	—	8	1	no	—
206	C₂²×C₁₃	—	8	2	no	—
207	C₂²×C₁₃	—	8	2	no	—
208	C₂²×C₁₃	—	8	1	no	—
209	C₂²×C₁₃	—	8	2	no	—
210	C₂²×C₁₃	—	8	1	no	—
211	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
212	C₄×C₁₃	—	2	1	no	—
213	C₄×C₁₃	—	2	2	no	—
214	C₄×C₁₃	—	4	2	no	—
215	C₄×C₁₃	—	8	1	no	—
216	C₄×C₁₃	—	8	2	no	—
217	C₄×C₁₃	—	8	1	no	—
218	C₄×C₁₃	#509	1	2	yes	—
219	C₄×C₁₃	#546	1	1	yes	characteristic
220	C₄×C₁₃	#577	1	1	yes	characteristic
221	C₂×#41	—	2	2	no	—
222	C₂×#41	—	4	1	no	—
223	#135	—	2	4	no	—
224	#135	—	4	2	no	—
225	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
226	C₂×SD₁₆	—	2	2	no	—
227	C₂×D₈	—	2	1	no	—
228	C₂×D₈	C₂³×C₁₃	1	2	yes	—
229	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
230	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
231	C₄⋊Q₈	—	2	1	no	—
232	#127	—	2	1	no	—
233	#127	—	4	1	no	—
234	#123	—	4	2	no	—
235	C₂²⋊Q₈	—	4	1	no	—
236	#121	—	2	2	no	—
237	#121	—	2	2	no	—
238	#121	—	4	2	no	—
239	C₄×Q₈	—	2	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	—	4	1	no	—
242	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
243	C₂×C₄⋊C₄	—	2	2	no	—
244	SD₃₂	—	2	2	no	—
245	D₁₆	—	4	2	no	—
246	M₃₂	—	4	2	no	—
247	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
248	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
249	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
250	#107	—	2	2	no	—
251	#107	—	2	1	no	—
252	#107	C₂³×C₁₃	1	1	yes	characteristic
253	#107	C₂³×C₁₃	1	2	yes	—
254	#107	C₂³×C₁₃	1	1	yes	characteristic
255	C₄⋊C₈	D₄×C₁₃	1	1	yes	characteristic
256	#103	—	2	1	no	—
257	#102	—	2	1	no	—
258	#102	—	2	2	no	—
259	#102	—	2	2	no	—
260	C₂²⋊C₈	D₄×C₁₃	1	2	yes	—
261	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
262	C₂×C₁₃	—	4	2	no	—
263	C₂×C₁₃	—	16	1	no	—
264	C₂×C₁₃	—	16	2	no	—
265	C₂×C₁₃	#3294	1	1	yes	characteristic
266	C₂×C₁₃	C₂×#509	1	1	yes	characteristic
267	C₂×C₁₃	#3416	1	1	yes	characteristic
268	#41	—	4	4	no	—
269	#41	—	8	2	no	—
270	#41	—	8	4	no	—
271	C₂×Q₈	—	2	1	no	—
272	C₂×Q₈	—	4	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	2	2	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂×D₄	—	4	2	no	—
277	C₂×D₄	—	4	2	no	—
278	C₂×D₄	—	4	1	no	—
279	C₂×D₄	—	4	1	no	—
280	C₂×D₄	C₁₃×D₈	1	1	yes	characteristic
281	C₂²×C₄	—	4	2	no	—
282	C₂²×C₄	—	4	1	no	—
283	C₂²×C₄	—	4	2	no	—
284	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
285	Q₁₆	—	2	1	no	—
286	Q₁₆	C₁₃×#41	1	2	yes	complemented
287	SD₁₆	—	4	4	no	—
288	D₈	—	2	1	no	—
289	D₈	—	2	2	no	—
290	D₈	—	2	1	no	—
291	D₈	—	2	2	no	—
292	D₈	—	8	1	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
296	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
297	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
298	C₄⋊C₄	—	2	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	4	2	no	—
302	C₄⋊C₄	—	4	1	no	—
303	C₄⋊C₄	—	4	1	no	—
304	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
305	C₂²⋊C₄	—	4	1	no	—
306	C₂²⋊C₄	—	4	2	no	—
307	C₂²⋊C₄	—	4	2	no	—
308	C₂²⋊C₄	C₁₃×D₈	1	2	yes	—
309	C₄²	—	4	1	no	—
310	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
311	C₁₆	—	2	1	no	—
312	C₁₆	—	2	1	no	—
313	C₁₆	—	2	2	no	—
314	C₁₃	#33899	1	1	yes	characteristic, direct product factor, Sylow
315	C₂³	—	4	1	no	—
316	C₂³	—	4	2	no	—
317	C₂³	C₂×C₁₃×D₈	1	2	yes	—
318	Q₈	—	2	2	no	—
319	Q₈	—	4	1	no	—
320	Q₈	—	8	2	no	—
321	D₄	—	2	2	no	—
322	D₄	—	4	2	no	—
323	D₄	—	4	1	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	1	no	—
326	D₄	—	8	4	no	—
327	D₄	—	8	4	no	—
328	D₄	—	8	2	no	—
329	D₄	—	16	1	no	—
330	D₄	—	16	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	8	4	no	—
338	C₂×C₄	—	8	4	no	—
339	C₂×C₄	—	8	2	no	—
340	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
341	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
342	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
343	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
344	C₈	—	2	2	no	—
345	C₈	—	2	1	no	—
346	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
347	C₈	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
348	C₂²	—	2	2	no	—
349	C₂²	—	2	2	no	—
350	C₂²	—	2	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	8	1	no	—
353	C₂²	—	8	1	no	—
354	C₂²	—	8	2	no	—
355	C₂²	—	8	2	no	—
356	C₂²	—	8	1	no	—
357	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
358	C₄	—	2	2	no	—
359	C₄	—	2	1	no	—
360	C₄	—	4	2	no	—
361	C₄	—	8	1	no	—
362	C₄	—	8	2	no	—
363	C₄	—	8	1	no	—
364	C₄	C₁₃×#509	1	2	yes	—
365	C₄	C₁₃×#546	1	1	yes	characteristic
366	C₄	C₁₃×#577	1	1	yes	characteristic
367	C₂	—	4	2	no	—
368	C₂	—	16	2	no	—
369	C₂	—	16	1	no	—
370	C₂	C₁₃×#3294	1	1	yes	characteristic
371	C₂	C₂×C₁₃×#509	1	1	yes	characteristic
372	C₂	C₁₃×#3416	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×D₄×C₁₃ ◁ C₈×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3334	C₂	semidirect
2. C₁₃×#3287	C₂	semidirect
3. C₁₃×#2240	C₂	semidirect
4. C₁₃×#2233	C₂	semidirect
5. C₁₃×#2225	C₂	semidirect
6. C₁₃×#2218	C₂	semidirect
7. C₁₃×#2206	C₂	semidirect
8. C₁₃×#2186	C₂	semidirect
9. C₄×C₁₃×SD₃₂	C₂	semidirect
10. C₁₃×#2169	C₂	semidirect
11. C₁₃×#2139	C₂	semidirect
82. #33899	C₁₃	direct (N × H)
101. C₁₃×Q₁₆	#41	semidirect
129. #3334	C₂×C₁₃	semidirect
130. #3287	C₂×C₁₃	semidirect
131. #2240	C₂×C₁₃	semidirect
132. #2233	C₂×C₁₃	semidirect
133. #2225	C₂×C₁₃	semidirect
134. #2218	C₂×C₁₃	semidirect
135. #2206	C₂×C₁₃	semidirect
136. #2186	C₂×C₁₃	semidirect
137. C₄×SD₃₂	C₂×C₁₃	semidirect
138. #2169	C₂×C₁₃	semidirect
139. #2139	C₂×C₁₃	semidirect
286. Q₁₆	C₁₃×#41	semidirect
314. C₁₃	#33899	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×#3334	2
C₁₃×#3287	2
C₁₃×#2240	2
C₁₃×#2233	2
C₁₃×#2225	2
C₁₃×#2218	2
C₁₃×#2206	2
C₁₃×#2186	2
C₄×C₁₃×SD₃₂	2
C₁₃×#2169	2
C₁₃×#2139	2
#33899	13

Subgroups — C13×#33899 #15720238

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33899 #15720238