Subgroups — C₁₃×#21289 #15707628

Order 3328.

766 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	C₂×C₁₃×#441	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2320	C₂	1	2	yes	maximal
3	C₁₃×#1971	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1969	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#1944	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1941	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#1935	C₂	1	2	yes	maximal
8	C₁₃×#1933	C₂	1	2	yes	maximal
9	C₁₃×#1776	C₂	1	1	yes	maximal, characteristic
10	C₄×C₁₃×#103	C₂	1	2	yes	maximal
11	C₁₃×#1726	C₂	1	1	yes	maximal, characteristic
12	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
13	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
14	C₁₃×#441	C₄	1	8	yes	complemented
15	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#103	C₂²	1	2	yes	—
19	C₂×C₁₃×#103	C₂²	1	2	yes	—
20	C₂×C₁₃×#103	C₂²	1	2	yes	—
21	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
24	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#391	C₂²	1	2	yes	—
28	C₁₃×#391	C₂²	1	2	yes	—
29	C₁₃×#389	C₂²	1	2	yes	—
30	C₁₃×#389	C₂²	1	2	yes	—
31	C₁₃×#387	—	2	2	no	—
32	C₁₃×#387	—	2	2	no	—
33	C₁₃×#383	—	2	2	no	—
34	C₁₃×#382	—	2	2	no	—
35	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
36	C₁₃×#376	C₂²	1	1	yes	characteristic
37	C₁₃×#340	C₂²	1	2	yes	—
38	C₁₃×#340	C₂²	1	2	yes	—
39	C₁₃×#340	C₂²	1	2	yes	—
40	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
41	C₂×C₁₃×Q₁₆	—	2	2	no	—
42	C₂×C₁₃×Q₁₆	—	2	2	no	—
43	C₂×C₁₃×Q₁₆	C₂×C₄	1	4	yes	—
44	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
45	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
48	C₄×Q₈×C₁₃	—	2	4	no	—
49	C₄×Q₈×C₁₃	C₂×C₄	1	8	yes	—
50	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
51	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
52	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
53	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
54	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
55	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
56	C₂×C₄²×C₁₃	—	2	2	no	—
57	C₂×C₄²×C₁₃	—	2	2	no	—
58	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
61	C₁₃×#107	—	2	2	no	—
62	C₁₃×#106	—	2	2	no	—
63	C₁₃×#106	C₂×C₄	1	4	yes	—
64	C₁₃×#103	—	2	4	no	—
65	C₁₃×#103	—	2	4	no	—
66	C₁₃×#103	C₂×C₄	1	8	yes	—
67	C₁₃×#97	—	2	2	no	—
68	C₁₃×#97	—	2	2	no	—
69	C₁₃×#97	C₂×C₄	1	4	yes	—
70	C₄×C₈×C₁₃	—	2	2	no	—
71	C₄×C₈×C₁₃	—	2	2	no	—
72	C₄×C₈×C₁₃	—	2	2	no	—
73	C₁₃×#95	—	2	2	no	—
74	C₁₃×#95	—	2	2	no	—
75	C₁₃×#95	—	2	2	no	—
76	C₁₃×#95	—	2	2	no	—
77	C₁₃×#95	—	2	2	no	—
78	C₁₃×#95	—	2	2	no	—
79	C₁₃×#95	—	2	2	no	—
80	C₁₃×#95	D₄	1	2	yes	—
81	C₁₃×#95	D₄	1	2	yes	—
82	#21289	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
83	C₂×Q₈×C₁₃	—	2	2	no	—
84	C₂×Q₈×C₁₃	—	2	2	no	—
85	C₂×Q₈×C₁₃	—	2	2	no	—
86	C₂×Q₈×C₁₃	—	2	2	no	—
87	C₂×Q₈×C₁₃	—	2	2	no	—
88	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
89	C₂²×C₄×C₁₃	—	2	2	no	—
90	C₂²×C₄×C₁₃	—	2	2	no	—
91	C₂²×C₄×C₁₃	—	2	2	no	—
92	C₂²×C₄×C₁₃	—	2	2	no	—
93	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
98	C₁₃×Q₁₆	—	2	8	no	—
99	C₂×C₈×C₁₃	—	2	1	no	—
100	C₂×C₈×C₁₃	—	2	1	no	—
101	C₂×C₈×C₁₃	—	2	1	no	—
102	C₂×C₈×C₁₃	—	2	1	no	—
103	C₂×C₈×C₁₃	—	2	1	no	—
104	C₂×C₈×C₁₃	—	2	1	no	—
105	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
106	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
107	C₂×C₈×C₁₃	#41	1	2	yes	—
108	C₂×C₈×C₁₃	#41	1	2	yes	—
109	C₂×C₈×C₁₃	#41	1	2	yes	—
110	C₂×C₈×C₁₃	#41	1	2	yes	—
111	C₁₃×C₄⋊C₄	—	2	8	no	—
112	C₁₃×C₄⋊C₄	—	2	2	no	—
113	C₁₃×C₄⋊C₄	—	2	2	no	—
114	C₁₃×C₄⋊C₄	—	2	2	no	—
115	C₁₃×C₄⋊C₄	—	2	2	no	—
116	C₁₃×C₄⋊C₄	—	2	2	no	—
117	C₁₃×C₄⋊C₄	—	8	2	no	—
118	C₁₃×C₄⋊C₄	—	8	2	no	—
119	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
120	C₄²×C₁₃	—	2	8	no	—
121	C₄²×C₁₃	—	2	1	no	—
122	C₄²×C₁₃	—	2	1	no	—
123	C₄²×C₁₃	—	2	1	no	—
124	C₄²×C₁₃	—	2	1	no	—
125	C₄²×C₁₃	—	8	2	no	—
126	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
127	C₄²×C₁₃	#41	1	2	yes	—
128	C₂×#441	C₂×C₁₃	1	1	yes	characteristic
129	#2320	C₂×C₁₃	1	2	yes	—
130	#1971	C₂×C₁₃	1	1	yes	characteristic
131	#1969	C₂×C₁₃	1	1	yes	characteristic
132	#1944	C₂×C₁₃	1	1	yes	characteristic
133	#1941	C₂×C₁₃	1	1	yes	characteristic
134	#1935	C₂×C₁₃	1	2	yes	—
135	#1933	C₂×C₁₃	1	2	yes	—
136	#1776	C₂×C₁₃	1	1	yes	characteristic
137	C₄×#103	C₂×C₁₃	1	2	yes	—
138	#1726	C₂×C₁₃	1	1	yes	characteristic
139	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
140	Q₈×C₁₃	—	2	4	no	—
141	Q₈×C₁₃	—	2	4	no	—
142	Q₈×C₁₃	—	4	2	no	—
143	Q₈×C₁₃	—	4	2	no	—
144	C₂×C₄×C₁₃	—	2	2	no	—
145	C₂×C₄×C₁₃	—	2	2	no	—
146	C₂×C₄×C₁₃	—	2	4	no	—
147	C₂×C₄×C₁₃	—	2	4	no	—
148	C₂×C₄×C₁₃	—	2	1	no	—
149	C₂×C₄×C₁₃	—	2	1	no	—
150	C₂×C₄×C₁₃	—	2	2	no	—
151	C₂×C₄×C₁₃	—	2	2	no	—
152	C₂×C₄×C₁₃	—	2	2	no	—
153	C₂×C₄×C₁₃	—	2	2	no	—
154	C₂×C₄×C₁₃	—	2	2	no	—
155	C₂×C₄×C₁₃	—	4	2	no	—
156	C₂×C₄×C₁₃	—	4	2	no	—
157	C₂×C₄×C₁₃	—	4	2	no	—
158	C₂×C₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	—	4	2	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	—	4	2	no	—
163	C₂×C₄×C₁₃	—	4	2	no	—
164	C₂×C₄×C₁₃	—	4	2	no	—
165	C₂×C₄×C₁₃	C₄×D₄	1	4	yes	—
166	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
167	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
168	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
169	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
170	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
171	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
172	C₈×C₁₃	—	2	2	no	—
173	C₈×C₁₃	—	2	2	no	—
174	C₈×C₁₃	—	2	2	no	—
175	C₈×C₁₃	#117	1	4	yes	—
176	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
177	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
178	#441	C₄×C₁₃	1	8	yes	complemented
179	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
180	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
181	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
182	C₂×#103	C₂²×C₁₃	1	2	yes	—
183	C₂×#103	C₂²×C₁₃	1	2	yes	—
184	C₂×#103	C₂²×C₁₃	1	2	yes	—
185	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
186	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
187	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
188	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
189	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
190	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
191	#391	C₂²×C₁₃	1	2	yes	—
192	#391	C₂²×C₁₃	1	2	yes	—
193	#389	C₂²×C₁₃	1	2	yes	—
194	#389	C₂²×C₁₃	1	2	yes	—
195	#387	—	2	2	no	—
196	#387	—	2	2	no	—
197	#383	—	2	2	no	—
198	#382	—	2	2	no	—
199	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
200	#376	C₂²×C₁₃	1	1	yes	characteristic
201	#340	C₂²×C₁₃	1	2	yes	—
202	#340	C₂²×C₁₃	1	2	yes	—
203	#340	C₂²×C₁₃	1	2	yes	—
204	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
205	C₂²×C₁₃	#532	1	1	yes	characteristic
206	C₂²×C₁₃	#532	1	1	yes	characteristic
207	C₂²×C₁₃	#577	1	2	yes	—
208	C₂²×C₁₃	#578	1	2	yes	—
209	C₄×C₁₃	—	2	4	no	—
210	C₄×C₁₃	—	4	1	no	—
211	C₄×C₁₃	—	4	1	no	—
212	C₄×C₁₃	—	4	2	no	—
213	C₄×C₁₃	—	4	4	no	—
214	C₄×C₁₃	—	4	4	no	—
215	C₄×C₁₃	—	8	2	no	—
216	C₄×C₁₃	—	8	2	no	—
217	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
218	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
219	C₄×C₁₃	#529	1	1	yes	characteristic
220	C₄×C₁₃	#529	1	1	yes	characteristic
221	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
222	C₂×Q₁₆	—	2	2	no	—
223	C₂×Q₁₆	—	2	2	no	—
224	C₂×Q₁₆	C₂×C₄×C₁₃	1	4	yes	—
225	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
226	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
227	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
228	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
229	C₄×Q₈	—	2	4	no	—
230	C₄×Q₈	C₂×C₄×C₁₃	1	8	yes	—
231	C₂×C₄⋊C₄	—	2	2	no	—
232	C₂×C₄⋊C₄	—	2	2	no	—
233	C₂×C₄⋊C₄	—	2	2	no	—
234	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
235	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
236	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
237	C₂×C₄²	—	2	2	no	—
238	C₂×C₄²	—	2	2	no	—
239	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
240	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
241	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
242	#107	—	2	2	no	—
243	#106	—	2	2	no	—
244	#106	C₂×C₄×C₁₃	1	4	yes	—
245	#103	—	2	4	no	—
246	#103	—	2	4	no	—
247	#103	C₂×C₄×C₁₃	1	8	yes	—
248	#97	—	2	2	no	—
249	#97	—	2	2	no	—
250	#97	C₂×C₄×C₁₃	1	4	yes	—
251	C₄×C₈	—	2	2	no	—
252	C₄×C₈	—	2	2	no	—
253	C₄×C₈	—	2	2	no	—
254	#95	—	2	2	no	—
255	#95	—	2	2	no	—
256	#95	—	2	2	no	—
257	#95	—	2	2	no	—
258	#95	—	2	2	no	—
259	#95	—	2	2	no	—
260	#95	—	2	2	no	—
261	#95	D₄×C₁₃	1	2	yes	—
262	#95	D₄×C₁₃	1	2	yes	—
263	C₂×C₁₃	#2293	1	1	yes	characteristic
264	C₂×C₁₃	#2947	1	2	yes	—
265	C₂×C₁₃	#3173	1	1	yes	characteristic
266	C₂×C₁₃	#3177	1	1	yes	characteristic
267	C₂×C₁₃	#3178	1	2	yes	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	2	2	no	—
270	C₂×Q₈	—	2	2	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
279	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
280	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
281	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
282	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
283	Q₁₆	—	2	8	no	—
284	C₂×C₈	—	2	1	no	—
285	C₂×C₈	—	2	1	no	—
286	C₂×C₈	—	2	1	no	—
287	C₂×C₈	—	2	1	no	—
288	C₂×C₈	—	2	1	no	—
289	C₂×C₈	—	2	1	no	—
290	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
291	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
292	C₂×C₈	C₁₃×#41	1	2	yes	—
293	C₂×C₈	C₁₃×#41	1	2	yes	—
294	C₂×C₈	C₁₃×#41	1	2	yes	—
295	C₂×C₈	C₁₃×#41	1	2	yes	—
296	C₄⋊C₄	—	2	8	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	8	2	no	—
303	C₄⋊C₄	—	8	2	no	—
304	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
305	C₄²	—	2	8	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	2	1	no	—
309	C₄²	—	2	1	no	—
310	C₄²	—	8	2	no	—
311	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
312	C₄²	C₁₃×#41	1	2	yes	—
313	C₁₃	#21289	1	1	yes	characteristic, direct product factor, Sylow
314	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
315	Q₈	—	2	4	no	—
316	Q₈	—	2	4	no	—
317	Q₈	—	4	2	no	—
318	Q₈	—	4	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	C₄×D₄×C₁₃	1	4	yes	—
341	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
342	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
343	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
344	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
345	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
346	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
347	C₈	—	2	2	no	—
348	C₈	—	2	2	no	—
349	C₈	—	2	2	no	—
350	C₈	C₁₃×#117	1	4	yes	—
351	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
352	C₂²	C₁₃×#532	1	1	yes	characteristic
353	C₂²	C₁₃×#532	1	1	yes	characteristic
354	C₂²	C₁₃×#577	1	2	yes	—
355	C₂²	C₁₃×#578	1	2	yes	—
356	C₄	—	2	4	no	—
357	C₄	—	4	4	no	—
358	C₄	—	4	1	no	—
359	C₄	—	4	1	no	—
360	C₄	—	4	2	no	—
361	C₄	—	4	4	no	—
362	C₄	—	8	2	no	—
363	C₄	—	8	2	no	—
364	C₄	C₂×C₁₃×#117	1	1	yes	characteristic
365	C₄	C₄×C₁₃×#41	1	1	yes	characteristic
366	C₄	C₁₃×#529	1	1	yes	characteristic
367	C₄	C₁₃×#529	1	1	yes	characteristic
368	C₂	C₁₃×#2293	1	1	yes	characteristic
369	C₂	C₁₃×#2947	1	2	yes	—
370	C₂	C₁₃×#3173	1	1	yes	characteristic
371	C₂	C₁₃×#3177	1	1	yes	characteristic
372	C₂	C₁₃×#3178	1	2	yes	—

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₁₃×#376 ◁ G

Complements

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

N	H ≅ G/N	type
14. C₁₃×#441	C₄	semidirect
82. #21289	C₁₃	direct (N × H)
178. #441	C₄×C₁₃	semidirect
313. C₁₃	#21289	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×#441	2
C₁₃×#2320	2
C₁₃×#1971	2
C₁₃×#1969	2
C₁₃×#1944	2
C₁₃×#1941	2
C₁₃×#1935	2
C₁₃×#1933	2
C₁₃×#1776	2
C₄×C₁₃×#103	2
C₁₃×#1726	2
#21289	13

Subgroups — C13×#21289 #15707628

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#21289 #15707628