Subgroups — C₁₃×#33964 #15720303

Order 3328.

554 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3393	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×#2248	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2210	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2208	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2207	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×#2175	C₂	1	2	yes	maximal, complemented
11	C₄×C₁₃×D₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#556	—	2	1	no	—
13	C₁₃×#550	—	2	1	no	—
14	C₂×C₁₃×SD₃₂	C₂²	1	2	yes	—
15	C₂×C₁₃×SD₃₂	C₂²	1	2	yes	—
16	C₂×C₁₃×SD₃₂	C₂²	1	2	yes	—
17	C₂×C₁₃×D₁₆	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×D₁₆	C₂²	1	2	yes	—
19	C₁₃×#495	C₂²	1	2	yes	—
20	C₁₃×#494	C₂²	1	1	yes	characteristic
21	C₁₃×#493	C₂²	1	1	yes	characteristic
22	C₁₃×#493	C₂²	1	2	yes	—
23	C₁₃×#464	—	2	2	no	—
24	C₁₃×#461	—	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	2	yes	—
29	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
30	C₄×C₁₃×D₈	C₂²	1	2	yes	—
31	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
32	C₁₃×#366	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	2	yes	—
36	C₁₃×#357	C₂²	1	1	yes	characteristic
37	C₁₃×#357	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
43	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
44	C₂×C₁₃×SD₁₆	—	2	2	no	—
45	C₂×C₁₃×D₈	—	2	1	no	—
46	C₂×C₁₃×D₈	—	2	2	no	—
47	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
48	C₂×C₁₃×D₈	C₂³	1	2	yes	—
49	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
50	C₁₃×C₄⋊Q₈	—	2	1	no	—
51	C₁₃×#127	—	2	1	no	—
52	C₁₃×#127	—	2	2	no	—
53	C₁₃×#126	—	4	2	no	—
54	C₁₃×#124	—	2	2	no	—
55	C₁₃×C₂²⋊Q₈	—	4	1	no	—
56	C₁₃×#121	—	4	1	no	—
57	C₁₃×#121	—	4	2	no	—
58	C₄×Q₈×C₁₃	—	2	2	no	—
59	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
60	C₄×D₄×C₁₃	—	2	1	no	—
61	C₄×D₄×C₁₃	—	2	2	no	—
62	C₄×D₄×C₁₃	—	2	1	no	—
63	C₁₃×#117	—	4	1	no	—
64	C₁₃×SD₃₂	—	2	4	no	—
65	C₁₃×SD₃₂	—	4	2	no	—
66	C₁₃×SD₃₂	—	4	2	no	—
67	C₁₃×D₁₆	—	2	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	2	no	—
77	C₁₃×#102	—	2	1	no	—
78	C₁₃×#102	—	2	2	no	—
79	C₁₃×#102	—	2	1	no	—
80	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₄×C₈×C₁₃	C₂³	1	2	yes	—
82	#33964	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
83	C₁₃×#41	—	8	4	no	—
84	C₂×Q₈×C₁₃	—	2	2	no	—
85	C₂×Q₈×C₁₃	D₈	1	1	yes	characteristic
86	C₂×D₄×C₁₃	—	2	1	no	—
87	C₂×D₄×C₁₃	—	2	1	no	—
88	C₂×D₄×C₁₃	—	2	2	no	—
89	C₂×D₄×C₁₃	—	4	2	no	—
90	C₂×D₄×C₁₃	—	4	1	no	—
91	C₂×D₄×C₁₃	—	4	2	no	—
92	C₂×D₄×C₁₃	—	4	1	no	—
93	C₂²×C₄×C₁₃	—	4	1	no	—
94	C₂²×C₄×C₁₃	—	4	2	no	—
95	C₂²×C₄×C₁₃	—	4	1	no	—
96	C₁₃×Q₁₆	—	2	2	no	—
97	C₁₃×Q₁₆	—	2	2	no	—
98	C₁₃×Q₁₆	—	8	1	no	—
99	C₁₃×SD₁₆	—	8	2	no	—
100	C₁₃×D₈	—	2	1	no	—
101	C₁₃×D₈	—	2	1	no	—
102	C₁₃×D₈	—	2	2	no	—
103	C₁₃×D₈	—	2	1	no	—
104	C₁₃×D₈	—	2	2	no	—
105	C₁₃×D₈	—	2	1	no	—
106	C₁₃×D₈	—	8	2	no	—
107	C₁₃×D₈	—	8	1	no	—
108	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
110	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
111	C₁₃×C₄⋊C₄	—	2	1	no	—
112	C₁₃×C₄⋊C₄	—	2	1	no	—
113	C₁₃×C₄⋊C₄	—	4	1	no	—
114	C₁₃×C₄⋊C₄	—	4	2	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	2	no	—
120	C₁₃×C₂²⋊C₄	—	4	1	no	—
121	C₁₃×C₂²⋊C₄	—	4	1	no	—
122	C₁₃×C₂²⋊C₄	—	4	2	no	—
123	C₄²×C₁₃	—	4	2	no	—
124	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₁₃	C₂×D₄	1	2	yes	—
126	C₁₃×C₁₆	—	2	2	no	—
127	C₁₃×C₁₆	—	2	1	no	—
128	C₁₃×C₁₆	#41	1	2	yes	complemented
129	#3393	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	#2248	C₂×C₁₃	1	1	yes	characteristic, complemented
133	#2210	C₂×C₁₃	1	2	yes	complemented
134	#2208	C₂×C₁₃	1	1	yes	characteristic, complemented
135	#2207	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	#2175	C₂×C₁₃	1	2	yes	complemented
139	C₄×D₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
140	C₂³×C₁₃	—	4	1	no	—
141	C₂³×C₁₃	—	4	2	no	—
142	C₂³×C₁₃	—	4	1	no	—
143	Q₈×C₁₃	—	2	2	no	—
144	Q₈×C₁₃	—	4	2	no	—
145	Q₈×C₁₃	—	4	2	no	—
146	D₄×C₁₃	—	4	1	no	—
147	D₄×C₁₃	—	4	1	no	—
148	D₄×C₁₃	—	4	2	no	—
149	D₄×C₁₃	—	4	1	no	—
150	D₄×C₁₃	—	4	2	no	—
151	D₄×C₁₃	—	4	1	no	—
152	D₄×C₁₃	—	8	4	no	—
153	D₄×C₁₃	—	8	2	no	—
154	D₄×C₁₃	—	16	2	no	—
155	D₄×C₁₃	—	16	1	no	—
156	C₂×C₄×C₁₃	—	4	1	no	—
157	C₂×C₄×C₁₃	—	4	2	no	—
158	C₂×C₄×C₁₃	—	4	1	no	—
159	C₂×C₄×C₁₃	—	8	4	no	—
160	C₂×C₄×C₁₃	—	8	2	no	—
161	C₂×C₄×C₁₃	—	8	2	no	—
162	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
163	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
165	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
167	C₈×C₁₃	—	2	2	no	—
168	C₈×C₁₃	—	2	1	no	—
169	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
170	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
171	#556	—	2	1	no	—
172	#550	—	2	1	no	—
173	C₂×SD₃₂	C₂²×C₁₃	1	2	yes	—
174	C₂×SD₃₂	C₂²×C₁₃	1	2	yes	—
175	C₂×SD₃₂	C₂²×C₁₃	1	2	yes	—
176	C₂×D₁₆	C₂²×C₁₃	1	1	yes	characteristic
177	C₂×D₁₆	C₂²×C₁₃	1	2	yes	—
178	#495	C₂²×C₁₃	1	2	yes	—
179	#494	C₂²×C₁₃	1	1	yes	characteristic
180	#493	C₂²×C₁₃	1	1	yes	characteristic
181	#493	C₂²×C₁₃	1	2	yes	—
182	#464	—	2	2	no	—
183	#461	—	2	1	no	—
184	#459	—	2	1	no	—
185	#459	—	2	2	no	—
186	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
187	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
188	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
189	C₄×D₈	C₂²×C₁₃	1	2	yes	—
190	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
191	#366	C₂²×C₁₃	1	1	yes	characteristic
192	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
193	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
194	#358	C₂²×C₁₃	1	2	yes	—
195	#357	C₂²×C₁₃	1	1	yes	characteristic
196	#357	C₂²×C₁₃	1	1	yes	characteristic
197	#357	C₂²×C₁₃	1	2	yes	—
198	#346	C₂²×C₁₃	1	2	yes	—
199	C₄×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
200	C₂²×C₁₃	—	8	1	no	—
201	C₂²×C₁₃	—	8	2	no	—
202	C₂²×C₁₃	—	8	1	no	—
203	C₂²×C₁₃	—	8	2	no	—
204	C₂²×C₁₃	—	8	1	no	—
205	C₂²×C₁₃	—	8	1	no	—
206	C₂²×C₁₃	—	8	2	no	—
207	C₂²×C₁₃	—	8	1	no	—
208	C₂²×C₁₃	—	8	1	no	—
209	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
210	C₄×C₁₃	—	2	2	no	—
211	C₄×C₁₃	—	2	2	no	—
212	C₄×C₁₃	—	2	1	no	—
213	C₄×C₁₃	—	8	2	no	—
214	C₄×C₁₃	—	8	1	no	—
215	C₄×C₁₃	—	8	1	no	—
216	C₄×C₁₃	#509	1	2	yes	—
217	C₄×C₁₃	#550	1	1	yes	characteristic
218	C₄×C₁₃	#576	1	1	yes	characteristic
219	C₂×#41	—	4	1	no	—
220	C₂×Q₁₆	—	2	1	no	—
221	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
222	C₂×SD₁₆	—	2	2	no	—
223	C₂×D₈	—	2	1	no	—
224	C₂×D₈	—	2	2	no	—
225	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
226	C₂×D₈	C₂³×C₁₃	1	2	yes	—
227	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
228	C₄⋊Q₈	—	2	1	no	—
229	#127	—	2	1	no	—
230	#127	—	2	2	no	—
231	#126	—	4	2	no	—
232	#124	—	2	2	no	—
233	C₂²⋊Q₈	—	4	1	no	—
234	#121	—	4	1	no	—
235	#121	—	4	2	no	—
236	C₄×Q₈	—	2	2	no	—
237	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
238	C₄×D₄	—	2	1	no	—
239	C₄×D₄	—	2	2	no	—
240	C₄×D₄	—	2	1	no	—
241	#117	—	4	1	no	—
242	SD₃₂	—	2	4	no	—
243	SD₃₂	—	4	2	no	—
244	SD₃₂	—	4	2	no	—
245	D₁₆	—	2	2	no	—
246	D₁₆	—	4	2	no	—
247	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
248	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
249	C₂×C₁₆	C₂³×C₁₃	1	1	yes	characteristic
250	#107	C₂³×C₁₃	1	1	yes	characteristic
251	#107	C₂³×C₁₃	1	1	yes	characteristic
252	C₄⋊C₈	D₄×C₁₃	1	1	yes	characteristic
253	C₄⋊C₈	D₄×C₁₃	1	2	yes	—
254	#103	—	2	2	no	—
255	#102	—	2	1	no	—
256	#102	—	2	2	no	—
257	#102	—	2	1	no	—
258	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
259	C₄×C₈	C₂³×C₁₃	1	2	yes	—
260	C₂×C₁₃	—	16	2	no	—
261	C₂×C₁₃	—	16	1	no	—
262	C₂×C₁₃	—	16	1	no	—
263	C₂×C₁₃	#3391	1	1	yes	characteristic
264	C₂×C₁₃	C₂×#509	1	1	yes	characteristic
265	C₂×C₁₃	#3416	1	1	yes	characteristic
266	#41	—	8	4	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	C₁₃×D₈	1	1	yes	characteristic
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	4	2	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂×D₄	—	4	2	no	—
275	C₂×D₄	—	4	1	no	—
276	C₂²×C₄	—	4	1	no	—
277	C₂²×C₄	—	4	2	no	—
278	C₂²×C₄	—	4	1	no	—
279	Q₁₆	—	2	2	no	—
280	Q₁₆	—	2	2	no	—
281	Q₁₆	—	8	1	no	—
282	SD₁₆	—	8	2	no	—
283	D₈	—	2	1	no	—
284	D₈	—	2	1	no	—
285	D₈	—	2	2	no	—
286	D₈	—	2	1	no	—
287	D₈	—	2	2	no	—
288	D₈	—	2	1	no	—
289	D₈	—	8	2	no	—
290	D₈	—	8	1	no	—
291	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
292	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
293	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
294	C₄⋊C₄	—	2	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	2	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	C₁₃×D₈	1	1	yes	characteristic
300	C₄⋊C₄	C₁₃×D₈	1	2	yes	—
301	C₂²⋊C₄	—	4	2	no	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	1	no	—
304	C₂²⋊C₄	—	4	1	no	—
305	C₂²⋊C₄	—	4	2	no	—
306	C₄²	—	4	2	no	—
307	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
308	C₄²	C₂×D₄×C₁₃	1	2	yes	—
309	C₁₆	—	2	2	no	—
310	C₁₆	—	2	1	no	—
311	C₁₆	C₁₃×#41	1	2	yes	complemented
312	C₁₃	#33964	1	1	yes	characteristic, direct product factor, Sylow
313	C₂³	—	4	1	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	1	no	—
316	Q₈	—	2	2	no	—
317	Q₈	—	4	2	no	—
318	Q₈	—	4	2	no	—
319	D₄	—	4	1	no	—
320	D₄	—	4	1	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	1	no	—
323	D₄	—	4	2	no	—
324	D₄	—	4	1	no	—
325	D₄	—	8	4	no	—
326	D₄	—	8	2	no	—
327	D₄	—	16	2	no	—
328	D₄	—	16	1	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	8	4	no	—
333	C₂×C₄	—	8	2	no	—
334	C₂×C₄	—	8	2	no	—
335	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
336	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
337	C₂×C₄	C₂×C₁₃×D₈	1	2	yes	—
338	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
339	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
340	C₈	—	2	2	no	—
341	C₈	—	2	1	no	—
342	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
343	C₈	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
344	C₂²	—	8	1	no	—
345	C₂²	—	8	2	no	—
346	C₂²	—	8	1	no	—
347	C₂²	—	8	2	no	—
348	C₂²	—	8	1	no	—
349	C₂²	—	8	1	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	1	no	—
352	C₂²	—	8	1	no	—
353	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
354	C₄	—	2	2	no	—
355	C₄	—	2	2	no	—
356	C₄	—	2	1	no	—
357	C₄	—	8	2	no	—
358	C₄	—	8	1	no	—
359	C₄	—	8	1	no	—
360	C₄	C₁₃×#509	1	2	yes	—
361	C₄	C₁₃×#550	1	1	yes	characteristic
362	C₄	C₁₃×#576	1	1	yes	characteristic
363	C₂	—	16	2	no	—
364	C₂	—	16	1	no	—
365	C₂	—	16	1	no	—
366	C₂	C₁₃×#3391	1	1	yes	characteristic
367	C₂	C₂×C₁₃×#509	1	1	yes	characteristic
368	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×Q₈×C₁₃ ◁ C₈×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3393	C₂	semidirect
2. C₁₃×#3391	C₂	semidirect
3. C₁₃×#2250	C₂	semidirect
4. C₁₃×#2248	C₂	semidirect
5. C₁₃×#2210	C₂	semidirect
6. C₁₃×#2208	C₂	semidirect
7. C₁₃×#2207	C₂	semidirect
8. C₁₃×#2206	C₂	semidirect
9. C₁₃×#2183	C₂	semidirect
10. C₁₃×#2175	C₂	semidirect
11. C₄×C₁₃×D₁₆	C₂	semidirect
82. #33964	C₁₃	direct (N × H)
128. C₁₃×C₁₆	#41	semidirect
129. #3393	C₂×C₁₃	semidirect
130. #3391	C₂×C₁₃	semidirect
131. #2250	C₂×C₁₃	semidirect
132. #2248	C₂×C₁₃	semidirect
133. #2210	C₂×C₁₃	semidirect
134. #2208	C₂×C₁₃	semidirect
135. #2207	C₂×C₁₃	semidirect
136. #2206	C₂×C₁₃	semidirect
137. #2183	C₂×C₁₃	semidirect
138. #2175	C₂×C₁₃	semidirect
139. C₄×D₁₆	C₂×C₁₃	semidirect
311. C₁₆	C₁₃×#41	semidirect
312. C₁₃	#33964	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×#3393	2
C₁₃×#3391	2
C₁₃×#2250	2
C₁₃×#2248	2
C₁₃×#2210	2
C₁₃×#2208	2
C₁₃×#2207	2
C₁₃×#2206	2
C₁₃×#2183	2
C₁₃×#2175	2
C₄×C₁₃×D₁₆	2
#33964	13

Subgroups — C13×#33964 #15720303

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33964 #15720303