Subgroups — C₁₃×#14277 #15700616

Order 3328.

1406 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#389	C₂	1	2	yes	maximal
2	C₂×C₁₃×#384	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₃×#382	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₃×#376	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#1444	C₂	1	4	yes	maximal
6	C₁₃×#1442	C₂	1	4	yes	maximal
7	C₁₃×C₄⋊#95	C₂	1	2	yes	maximal
8	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
9	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
10	C₂²×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
11	C₂²×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
12	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
13	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
14	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
15	C₁₃×#389	—	2	8	no	—
16	C₁₃×#384	—	2	4	no	—
17	C₁₃×#382	C₄	1	8	yes	complemented
18	C₁₃×#376	—	2	4	no	—
19	C₂×C₁₃×#95	C₂²	1	2	yes	—
20	C₂×C₁₃×#95	C₂²	1	2	yes	—
21	C₂×C₁₃×#95	C₂²	1	4	yes	—
22	C₂×C₁₃×#95	C₂²	1	8	yes	—
23	C₂×C₁₃×#95	C₂²	1	4	yes	—
24	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
25	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
26	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
27	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
28	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
29	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
30	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
31	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
32	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
33	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
34	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
35	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
36	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
37	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
38	C₂×C₁₃×C₄⋊C₄	—	4	8	no	—
39	C₂×C₁₃×C₄⋊C₄	—	4	8	no	—
40	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	—
41	C₂×C₄²×C₁₃	—	2	2	no	—
42	C₂×C₄²×C₁₃	—	2	2	no	—
43	C₂×C₄²×C₁₃	—	2	2	no	—
44	C₂×C₄²×C₁₃	—	2	2	no	—
45	C₂×C₄²×C₁₃	C₂×C₄	1	4	yes	—
46	C₂×C₄²×C₁₃	D₄	1	4	yes	—
47	C₂×C₄²×C₁₃	D₄	1	4	yes	—
48	C₂×C₄²×C₁₃	Q₈	1	4	yes	—
49	C₂×C₄²×C₁₃	Q₈	1	4	yes	—
50	C₁₃×#95	—	2	8	no	—
51	C₁₃×#95	—	2	4	no	—
52	C₁₃×#95	—	2	4	no	—
53	C₁₃×#95	—	4	8	no	—
54	C₁₃×#95	C₂×C₄	1	16	yes	—
55	#14277	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
56	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
57	C₂²×C₄×C₁₃	—	2	4	no	—
58	C₂²×C₄×C₁₃	—	2	4	no	—
59	C₂²×C₄×C₁₃	—	2	1	no	—
60	C₂²×C₄×C₁₃	—	2	1	no	—
61	C₂²×C₄×C₁₃	—	2	2	no	—
62	C₂²×C₄×C₁₃	—	2	4	no	—
63	C₂²×C₄×C₁₃	—	2	1	no	—
64	C₂²×C₄×C₁₃	—	2	1	no	—
65	C₂²×C₄×C₁₃	—	2	2	no	—
66	C₂²×C₄×C₁₃	—	2	4	no	—
67	C₂²×C₄×C₁₃	—	2	4	no	—
68	C₂²×C₄×C₁₃	—	2	8	no	—
69	C₂²×C₄×C₁₃	—	2	4	no	—
70	C₂²×C₄×C₁₃	—	2	8	no	—
71	C₂²×C₄×C₁₃	—	2	4	no	—
72	C₂²×C₄×C₁₃	—	2	4	no	—
73	C₂²×C₄×C₁₃	—	2	4	no	—
74	C₂²×C₄×C₁₃	—	2	4	no	—
75	C₂²×C₄×C₁₃	—	2	4	no	—
76	C₂²×C₄×C₁₃	—	2	8	no	—
77	C₂²×C₄×C₁₃	—	2	8	no	—
78	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
79	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
80	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
82	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
83	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
84	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
85	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	—
87	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	—
88	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
89	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
90	C₂²×C₄×C₁₃	#41	1	2	yes	—
91	C₂²×C₄×C₁₃	#41	1	2	yes	—
92	C₁₃×C₄⋊C₄	—	2	16	no	—
93	C₁₃×C₄⋊C₄	—	4	16	no	—
94	C₁₃×C₄⋊C₄	—	4	16	no	—
95	C₁₃×C₄⋊C₄	—	4	8	no	—
96	C₄²×C₁₃	—	2	8	no	—
97	C₄²×C₁₃	—	2	8	no	—
98	C₄²×C₁₃	C₄⋊C₄	1	16	yes	complemented
99	C₂×#389	C₂×C₁₃	1	2	yes	—
100	C₂×#384	C₂×C₁₃	1	1	yes	characteristic
101	C₂×#382	C₂×C₁₃	1	1	yes	characteristic
102	C₂×#376	C₂×C₁₃	1	1	yes	characteristic
103	#1444	C₂×C₁₃	1	4	yes	—
104	#1442	C₂×C₁₃	1	4	yes	—
105	C₄⋊#95	C₂×C₁₃	1	2	yes	—
106	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
107	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
108	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
109	C₂³×C₁₃	C₂²×Q₈	1	1	yes	characteristic
110	C₂³×C₁₃	C₂²×Q₈	1	1	yes	characteristic
111	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
112	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
113	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
114	C₂³×C₁₃	2₋¹⁺⁴	1	4	yes	—
115	C₂×C₄×C₁₃	—	2	8	no	—
116	C₂×C₄×C₁₃	—	2	4	no	—
117	C₂×C₄×C₁₃	—	2	4	no	—
118	C₂×C₄×C₁₃	—	2	8	no	—
119	C₂×C₄×C₁₃	—	2	8	no	—
120	C₂×C₄×C₁₃	—	2	16	no	—
121	C₂×C₄×C₁₃	—	2	2	no	—
122	C₂×C₄×C₁₃	—	2	2	no	—
123	C₂×C₄×C₁₃	—	2	4	no	—
124	C₂×C₄×C₁₃	—	2	4	no	—
125	C₂×C₄×C₁₃	—	2	4	no	—
126	C₂×C₄×C₁₃	—	2	8	no	—
127	C₂×C₄×C₁₃	—	4	4	no	—
128	C₂×C₄×C₁₃	—	4	2	no	—
129	C₂×C₄×C₁₃	—	4	2	no	—
130	C₂×C₄×C₁₃	—	4	4	no	—
131	C₂×C₄×C₁₃	—	4	2	no	—
132	C₂×C₄×C₁₃	—	4	2	no	—
133	C₂×C₄×C₁₃	—	4	2	no	—
134	C₂×C₄×C₁₃	—	4	2	no	—
135	C₂×C₄×C₁₃	—	4	8	no	—
136	C₂×C₄×C₁₃	—	4	4	no	—
137	C₂×C₄×C₁₃	—	4	4	no	—
138	C₂×C₄×C₁₃	—	4	8	no	—
139	C₂×C₄×C₁₃	—	4	4	no	—
140	C₂×C₄×C₁₃	—	4	4	no	—
141	C₂×C₄×C₁₃	—	4	8	no	—
142	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	8	yes	—
143	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
144	C₂×C₄×C₁₃	C₄×D₄	1	4	yes	—
145	C₂×C₄×C₁₃	C₄×Q₈	1	4	yes	—
146	C₂×C₄×C₁₃	#121	1	4	yes	—
147	C₂×C₄×C₁₃	C₂²⋊Q₈	1	4	yes	—
148	C₂×C₄×C₁₃	#125	1	4	yes	—
149	C₂×C₄×C₁₃	C₄⋊Q₈	1	4	yes	—
150	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
151	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
152	C₂²×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
153	C₂²×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
154	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
155	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
156	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
157	#389	—	2	8	no	—
158	#384	—	2	4	no	—
159	#382	C₄×C₁₃	1	8	yes	complemented
160	#376	—	2	4	no	—
161	C₂×#95	C₂²×C₁₃	1	2	yes	—
162	C₂×#95	C₂²×C₁₃	1	4	yes	—
163	C₂×#95	C₂²×C₁₃	1	2	yes	—
164	C₂×#95	C₂²×C₁₃	1	8	yes	—
165	C₂×#95	C₂²×C₁₃	1	4	yes	—
166	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
167	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
168	C₂²×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
169	C₂²×C₁₃	#520	1	4	yes	—
170	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
171	C₂²×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
172	C₂²×C₁₃	C₂×#125	1	1	yes	characteristic
173	C₂²×C₁₃	C₂×C₄⋊Q₈	1	1	yes	characteristic
174	C₂²×C₁₃	#535	1	2	yes	—
175	C₂²×C₁₃	#535	1	2	yes	—
176	C₂²×C₁₃	#536	1	2	yes	—
177	C₂²×C₁₃	#536	1	2	yes	—
178	C₂²×C₁₃	#540	1	2	yes	—
179	C₂²×C₁₃	#541	1	2	yes	—
180	C₂²×C₁₃	#542	1	4	yes	—
181	C₂²×C₁₃	#544	1	4	yes	—
182	C₂²×C₁₃	#544	1	4	yes	—
183	C₄×C₁₃	—	2	8	no	—
184	C₄×C₁₃	—	4	8	no	—
185	C₄×C₁₃	—	4	2	no	—
186	C₄×C₁₃	—	4	2	no	—
187	C₄×C₁₃	—	4	4	no	—
188	C₄×C₁₃	—	8	4	no	—
189	C₄×C₁₃	#389	1	8	yes	—
190	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
191	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
192	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
193	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
194	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
195	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
196	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
197	C₂×C₄⋊C₄	—	2	4	no	—
198	C₂×C₄⋊C₄	—	2	4	no	—
199	C₂×C₄⋊C₄	—	2	8	no	—
200	C₂×C₄⋊C₄	—	2	4	no	—
201	C₂×C₄⋊C₄	—	2	8	no	—
202	C₂×C₄⋊C₄	—	2	4	no	—
203	C₂×C₄⋊C₄	—	2	4	no	—
204	C₂×C₄⋊C₄	—	4	8	no	—
205	C₂×C₄⋊C₄	—	4	8	no	—
206	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	8	yes	—
207	C₂×C₄²	—	2	2	no	—
208	C₂×C₄²	—	2	2	no	—
209	C₂×C₄²	—	2	2	no	—
210	C₂×C₄²	—	2	2	no	—
211	C₂×C₄²	C₂×C₄×C₁₃	1	4	yes	—
212	C₂×C₄²	D₄×C₁₃	1	4	yes	—
213	C₂×C₄²	D₄×C₁₃	1	4	yes	—
214	C₂×C₄²	Q₈×C₁₃	1	4	yes	—
215	C₂×C₄²	Q₈×C₁₃	1	4	yes	—
216	#95	—	2	4	no	—
217	#95	—	2	4	no	—
218	#95	—	2	8	no	—
219	#95	—	4	8	no	—
220	#95	C₂×C₄×C₁₃	1	16	yes	—
221	C₂×C₁₃	C₂×#389	1	1	yes	characteristic
222	C₂×C₁₃	#2317	1	2	yes	—
223	C₂×C₁₃	#2326	1	2	yes	—
224	C₂×C₁₃	#2330	1	2	yes	—
225	C₂×C₁₃	#2619	1	1	yes	characteristic
226	C₂×C₁₃	#2621	1	1	yes	characteristic
227	C₂×C₁₃	#2628	1	2	yes	—
228	C₂×C₁₃	#2647	1	2	yes	—
229	C₂×C₁₃	#2660	1	2	yes	—
230	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
231	C₂²×C₄	—	2	4	no	—
232	C₂²×C₄	—	2	4	no	—
233	C₂²×C₄	—	2	1	no	—
234	C₂²×C₄	—	2	1	no	—
235	C₂²×C₄	—	2	2	no	—
236	C₂²×C₄	—	2	4	no	—
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	—	2	1	no	—
239	C₂²×C₄	—	2	2	no	—
240	C₂²×C₄	—	2	4	no	—
241	C₂²×C₄	—	2	4	no	—
242	C₂²×C₄	—	2	8	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	2	8	no	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	8	no	—
251	C₂²×C₄	—	2	8	no	—
252	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
253	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
254	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
255	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
256	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
257	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
258	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
259	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
260	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	—
261	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	—
262	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
263	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
264	C₂²×C₄	C₁₃×#41	1	2	yes	—
265	C₂²×C₄	C₁₃×#41	1	2	yes	—
266	C₄⋊C₄	—	2	16	no	—
267	C₄⋊C₄	—	4	16	no	—
268	C₄⋊C₄	—	4	16	no	—
269	C₄⋊C₄	—	4	8	no	—
270	C₄²	—	2	8	no	—
271	C₄²	—	2	8	no	—
272	C₄²	C₁₃×C₄⋊C₄	1	16	yes	complemented
273	C₁₃	#14277	1	1	yes	characteristic, direct product factor, Sylow
274	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
275	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
276	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
277	C₂³	C₂²×Q₈×C₁₃	1	1	yes	characteristic
278	C₂³	C₂²×Q₈×C₁₃	1	1	yes	characteristic
279	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
280	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
281	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
282	C₂³	C₁₃×2₋¹⁺⁴	1	4	yes	—
283	C₂×C₄	—	2	8	no	—
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	4	no	—
286	C₂×C₄	—	2	8	no	—
287	C₂×C₄	—	2	8	no	—
288	C₂×C₄	—	2	16	no	—
289	C₂×C₄	—	2	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	8	no	—
295	C₂×C₄	—	4	4	no	—
296	C₂×C₄	—	4	2	no	—
297	C₂×C₄	—	4	2	no	—
298	C₂×C₄	—	4	4	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	2	no	—
302	C₂×C₄	—	4	2	no	—
303	C₂×C₄	—	4	8	no	—
304	C₂×C₄	—	4	4	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	4	8	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	4	no	—
309	C₂×C₄	—	4	8	no	—
310	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	8	yes	—
311	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
312	C₂×C₄	C₄×D₄×C₁₃	1	4	yes	—
313	C₂×C₄	C₄×Q₈×C₁₃	1	4	yes	—
314	C₂×C₄	C₁₃×#121	1	4	yes	—
315	C₂×C₄	C₁₃×C₂²⋊Q₈	1	4	yes	—
316	C₂×C₄	C₁₃×#125	1	4	yes	—
317	C₂×C₄	C₁₃×C₄⋊Q₈	1	4	yes	—
318	C₂²	C₂²×C₁₃×C₄⋊C₄	1	1	yes	characteristic
319	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
320	C₂²	C₂×C₄×Q₈×C₁₃	1	1	yes	characteristic
321	C₂²	C₁₃×#520	1	4	yes	—
322	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
323	C₂²	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
324	C₂²	C₂×C₁₃×#125	1	1	yes	characteristic
325	C₂²	C₂×C₁₃×C₄⋊Q₈	1	1	yes	characteristic
326	C₂²	C₁₃×#535	1	2	yes	—
327	C₂²	C₁₃×#535	1	2	yes	—
328	C₂²	C₁₃×#536	1	2	yes	—
329	C₂²	C₁₃×#536	1	2	yes	—
330	C₂²	C₁₃×#540	1	2	yes	—
331	C₂²	C₁₃×#541	1	2	yes	—
332	C₂²	C₁₃×#542	1	4	yes	—
333	C₂²	C₁₃×#544	1	4	yes	—
334	C₂²	C₁₃×#544	1	4	yes	—
335	C₄	—	2	8	no	—
336	C₄	—	4	8	no	—
337	C₄	—	4	2	no	—
338	C₄	—	4	2	no	—
339	C₄	—	4	4	no	—
340	C₄	—	8	4	no	—
341	C₄	C₁₃×#389	1	8	yes	—
342	C₂	C₂×C₁₃×#389	1	1	yes	characteristic
343	C₂	C₁₃×#2317	1	2	yes	—
344	C₂	C₁₃×#2326	1	2	yes	—
345	C₂	C₁₃×#2330	1	2	yes	—
346	C₂	C₁₃×#2619	1	1	yes	characteristic
347	C₂	C₁₃×#2621	1	1	yes	characteristic
348	C₂	C₁₃×#2628	1	2	yes	—
349	C₂	C₁₃×#2647	1	2	yes	—
350	C₂	C₁₃×#2660	1	2	yes	—

	subgroup	G/H
center, socle, prime radical	C₂⁴×C₁₃	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₃
Frattini, cosocle	C₂⁴	C₂⁴×C₁₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
17. C₁₃×#382	C₄	semidirect
55. #14277	C₁₃	direct (N × H)
98. C₄²×C₁₃	C₄⋊C₄	semidirect
159. #382	C₄×C₁₃	semidirect
272. C₄²	C₁₃×C₄⋊C₄	semidirect
273. C₁₃	#14277	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×#389	2
C₂×C₁₃×#384	2
C₂×C₁₃×#382	2
C₂×C₁₃×#376	2
C₁₃×#1444	2
C₁₃×#1442	2
C₁₃×C₄⋊#95	2
#14277	13

Subgroups — C13×#14277 #15700616

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#14277 #15700616