Subgroups — C₁₃×#17898 #15704237

Order 3328.

646 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2989	C₂	1	2	yes	maximal, complemented
2	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#1592	C₂	1	4	yes	maximal, complemented
4	C₁₃×#1591	C₂	1	2	yes	maximal, complemented
5	C₁₃×#1589	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₃×#335	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1477	C₂	1	2	yes	maximal, complemented
8	C₁₃×#1450	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#135	C₄	1	1	yes	characteristic
10	C₄×C₁₃×#41	C₂²	1	2	yes	—
11	C₁₃×#446	C₂²	1	4	yes	—
12	C₄×C₁₃×Q₁₆	C₄	1	1	yes	characteristic
13	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
14	C₄×C₁₃×SD₁₆	C₄	1	2	yes	—
15	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
16	C₄×C₁₃×D₈	C₄	1	1	yes	characteristic
17	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
18	C₁₃×#436	C₂²	1	4	yes	—
19	C₁₃×#435	—	2	4	no	—
20	C₁₃×#432	—	2	2	no	—
21	C₁₃×#431	C₂²	1	1	yes	characteristic
22	C₁₃×#431	C₂²	1	1	yes	characteristic
23	C₁₃×#427	C₄	1	1	yes	characteristic
24	C₁₃×#423	—	2	2	no	—
25	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
26	C₁₃×#416	C₄	1	2	yes	—
27	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
28	C₁₃×#335	C₂²	1	2	yes	—
29	C₁₃×#335	C₂²	1	2	yes	—
30	C₁₃×Q₈⋊C₈	C₂²	1	4	yes	—
31	C₁₃×D₄⋊C₈	C₂²	1	4	yes	—
32	C₁₃×#322	C₂²	1	2	yes	—
33	C₈²×C₁₃	C₂²	1	2	yes	—
34	C₂×C₁₃×#41	C₂×C₄	1	2	yes	—
35	C₁₃×#135	—	2	4	no	—
36	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic
37	C₂×C₁₃×SD₁₆	C₂×C₄	1	2	yes	—
38	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
39	C₂×C₁₃×M₁₆	—	2	4	no	—
40	C₂²×C₈×C₁₃	—	2	2	no	—
41	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
43	C₄×Q₈×C₁₃	C₂×C₄	1	2	yes	—
44	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
45	C₄×D₄×C₁₃	—	2	2	no	—
46	C₄×D₄×C₁₃	—	2	2	no	—
47	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
48	C₄×D₄×C₁₃	C₂³	1	2	yes	—
49	C₁₃×#117	—	2	2	no	—
50	C₁₃×#117	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₃	—	2	2	no	—
52	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
53	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
54	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
55	C₁₃×#106	C₂×C₄	1	2	yes	—
56	C₁₃×C₄⋊C₈	—	2	4	no	—
57	C₁₃×C₄⋊C₈	—	2	2	no	—
58	C₁₃×C₄⋊C₈	—	2	1	no	—
59	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
60	C₁₃×C₄⋊C₈	D₄	1	1	yes	characteristic
61	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
62	C₁₃×#103	C₂×C₄	1	2	yes	—
63	C₁₃×#103	C₂×C₄	1	2	yes	—
64	C₁₃×#102	C₂×C₄	1	2	yes	—
65	C₁₃×#102	C₂×C₄	1	2	yes	—
66	C₁₃×C₂²⋊C₈	—	2	1	no	—
67	C₁₃×C₂²⋊C₈	—	2	4	no	—
68	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
69	C₁₃×#97	—	2	4	no	—
70	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	2	yes	—
73	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₁₃	C₂³	1	2	yes	—
76	#17898	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
77	C₁₃×#41	—	2	4	no	—
78	C₁₃×#41	—	2	4	no	—
79	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
80	C₂×D₄×C₁₃	—	2	2	no	—
81	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	—	2	2	no	—
84	C₂²×C₄×C₁₃	—	2	2	no	—
85	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
88	C₁₃×Q₁₆	—	2	2	no	—
89	C₁₃×SD₁₆	—	2	4	no	—
90	C₁₃×D₈	—	2	2	no	—
91	C₁₃×M₁₆	—	8	4	no	—
92	C₂×C₈×C₁₃	—	2	2	no	—
93	C₂×C₈×C₁₃	—	2	4	no	—
94	C₂×C₈×C₁₃	—	2	2	no	—
95	C₂×C₈×C₁₃	—	8	2	no	—
96	C₂×C₈×C₁₃	M₁₆	1	4	yes	complemented
97	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
98	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
102	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
103	C₁₃×C₄⋊C₄	—	2	2	no	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
106	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
107	C₁₃×C₂²⋊C₄	—	2	2	no	—
108	C₁₃×C₂²⋊C₄	—	2	2	no	—
109	C₁₃×C₂²⋊C₄	—	2	2	no	—
110	C₄²×C₁₃	—	2	2	no	—
111	C₄²×C₁₃	—	2	2	no	—
112	C₄²×C₁₃	—	2	2	no	—
113	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₁₃	#41	1	1	yes	characteristic
116	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
117	#2989	C₂×C₁₃	1	2	yes	complemented
118	C₄×#135	C₂×C₁₃	1	1	yes	characteristic
119	#1592	C₂×C₁₃	1	4	yes	complemented
120	#1591	C₂×C₁₃	1	2	yes	complemented
121	#1589	C₂×C₁₃	1	2	yes	complemented
122	C₂×#335	C₂×C₁₃	1	1	yes	characteristic, complemented
123	#1477	C₂×C₁₃	1	2	yes	complemented
124	#1450	C₂×C₁₃	1	1	yes	characteristic, complemented
125	C₂³×C₁₃	—	2	2	no	—
126	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
127	Q₈×C₁₃	—	2	2	no	—
128	Q₈×C₁₃	—	2	2	no	—
129	D₄×C₁₃	—	2	2	no	—
130	D₄×C₁₃	—	2	2	no	—
131	D₄×C₁₃	—	4	4	no	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	2	no	—
135	C₂×C₄×C₁₃	—	2	2	no	—
136	C₂×C₄×C₁₃	—	2	2	no	—
137	C₂×C₄×C₁₃	—	4	1	no	—
138	C₂×C₄×C₁₃	—	4	2	no	—
139	C₂×C₄×C₁₃	—	4	2	no	—
140	C₂×C₄×C₁₃	—	4	4	no	—
141	C₂×C₄×C₁₃	—	8	2	no	—
142	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
143	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
146	C₂×C₄×C₁₃	#131	1	2	yes	—
147	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
148	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
150	C₈×C₁₃	—	2	1	no	—
151	C₈×C₁₃	—	2	1	no	—
152	C₈×C₁₃	—	2	2	no	—
153	C₈×C₁₃	—	2	2	no	—
154	C₈×C₁₃	—	4	2	no	—
155	C₈×C₁₃	—	4	4	no	—
156	C₈×C₁₃	C₂×M₁₆	1	2	yes	—
157	C₈×C₁₃	C₂×M₁₆	1	2	yes	—
158	C₂×#135	C₄×C₁₃	1	1	yes	characteristic
159	C₄×#41	C₂²×C₁₃	1	2	yes	—
160	#446	C₂²×C₁₃	1	4	yes	—
161	C₄×Q₁₆	C₄×C₁₃	1	1	yes	characteristic
162	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
163	C₄×SD₁₆	C₄×C₁₃	1	2	yes	—
164	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
165	C₄×D₈	C₄×C₁₃	1	1	yes	characteristic
166	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
167	#436	C₂²×C₁₃	1	4	yes	—
168	#435	—	2	4	no	—
169	#432	—	2	2	no	—
170	#431	C₂²×C₁₃	1	1	yes	characteristic
171	#431	C₂²×C₁₃	1	1	yes	characteristic
172	#427	C₄×C₁₃	1	1	yes	characteristic
173	#423	—	2	2	no	—
174	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
175	#416	C₄×C₁₃	1	2	yes	—
176	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
177	#335	C₂²×C₁₃	1	2	yes	—
178	#335	C₂²×C₁₃	1	2	yes	—
179	Q₈⋊C₈	C₂²×C₁₃	1	4	yes	—
180	D₄⋊C₈	C₂²×C₁₃	1	4	yes	—
181	#322	C₂²×C₁₃	1	2	yes	—
182	C₈²	C₂²×C₁₃	1	2	yes	—
183	C₂²×C₁₃	—	2	1	no	—
184	C₂²×C₁₃	—	2	1	no	—
185	C₂²×C₁₃	—	4	2	no	—
186	C₂²×C₁₃	—	4	2	no	—
187	C₂²×C₁₃	—	4	2	no	—
188	C₂²×C₁₃	#436	1	2	yes	—
189	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
190	C₄×C₁₃	—	2	1	no	—
191	C₄×C₁₃	—	2	1	no	—
192	C₄×C₁₃	—	2	1	no	—
193	C₄×C₁₃	—	4	2	no	—
194	C₄×C₁₃	—	4	2	no	—
195	C₄×C₁₃	—	4	2	no	—
196	C₄×C₁₃	#436	1	2	yes	—
197	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
198	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
199	C₄×C₁₃	#576	1	1	yes	characteristic
200	C₄×C₁₃	#578	1	1	yes	characteristic
201	C₂×#41	C₂×C₄×C₁₃	1	2	yes	—
202	#135	—	2	4	no	—
203	C₂×Q₁₆	C₂×C₄×C₁₃	1	1	yes	characteristic
204	C₂×SD₁₆	C₂×C₄×C₁₃	1	2	yes	—
205	C₂×D₈	C₂×C₄×C₁₃	1	1	yes	characteristic
206	C₂×M₁₆	—	2	4	no	—
207	C₂²×C₈	—	2	2	no	—
208	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
209	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
210	C₄×Q₈	C₂×C₄×C₁₃	1	2	yes	—
211	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
212	C₄×D₄	—	2	2	no	—
213	C₄×D₄	—	2	2	no	—
214	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
215	C₄×D₄	C₂³×C₁₃	1	2	yes	—
216	#117	—	2	2	no	—
217	#117	C₂×C₄×C₁₃	1	2	yes	—
218	C₂×C₄²	—	2	2	no	—
219	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
220	#107	C₂×C₄×C₁₃	1	1	yes	characteristic
221	#107	C₂×C₄×C₁₃	1	1	yes	characteristic
222	#106	C₂×C₄×C₁₃	1	2	yes	—
223	C₄⋊C₈	—	2	4	no	—
224	C₄⋊C₈	—	2	2	no	—
225	C₄⋊C₈	—	2	1	no	—
226	C₄⋊C₈	D₄×C₁₃	1	1	yes	characteristic
227	C₄⋊C₈	D₄×C₁₃	1	1	yes	characteristic
228	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
229	#103	C₂×C₄×C₁₃	1	2	yes	—
230	#103	C₂×C₄×C₁₃	1	2	yes	—
231	#102	C₂×C₄×C₁₃	1	2	yes	—
232	#102	C₂×C₄×C₁₃	1	2	yes	—
233	C₂²⋊C₈	—	2	1	no	—
234	C₂²⋊C₈	—	2	4	no	—
235	C₂²⋊C₈	D₄×C₁₃	1	2	yes	—
236	#97	—	2	4	no	—
237	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
238	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
239	C₄×C₈	C₂³×C₁₃	1	2	yes	—
240	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
241	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
242	C₄×C₈	C₂³×C₁₃	1	2	yes	—
243	C₂×C₁₃	—	2	2	no	—
244	C₂×C₁₃	—	8	2	no	—
245	C₂×C₁₃	C₂×#436	1	1	yes	characteristic
246	C₂×C₁₃	#2951	1	1	yes	characteristic
247	C₂×C₁₃	#2957	1	1	yes	characteristic
248	#41	—	2	4	no	—
249	#41	—	2	4	no	—
250	C₂×Q₈	C₂²×C₄×C₁₃	1	2	yes	—
251	C₂×D₄	—	2	2	no	—
252	C₂×D₄	C₂²×C₄×C₁₃	1	2	yes	—
253	C₂²×C₄	—	2	2	no	—
254	C₂²×C₄	—	2	2	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
257	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
258	C₂²×C₄	C₁₃×#41	1	1	yes	characteristic
259	Q₁₆	—	2	2	no	—
260	SD₁₆	—	2	4	no	—
261	D₈	—	2	2	no	—
262	M₁₆	—	8	4	no	—
263	C₂×C₈	—	2	2	no	—
264	C₂×C₈	—	2	4	no	—
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	8	2	no	—
267	C₂×C₈	C₁₃×M₁₆	1	4	yes	complemented
268	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
269	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
270	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
271	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
272	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
273	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
274	C₄⋊C₄	—	2	2	no	—
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
277	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
278	C₂²⋊C₄	—	2	2	no	—
279	C₂²⋊C₄	—	2	2	no	—
280	C₂²⋊C₄	—	2	2	no	—
281	C₄²	—	2	2	no	—
282	C₄²	—	2	2	no	—
283	C₄²	—	2	2	no	—
284	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
285	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
286	C₄²	C₁₃×#41	1	1	yes	characteristic
287	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
288	C₁₃	#17898	1	1	yes	characteristic, direct product factor, Sylow
289	C₂³	—	2	2	no	—
290	C₂³	C₄×D₄×C₁₃	1	1	yes	characteristic
291	Q₈	—	2	2	no	—
292	Q₈	—	2	2	no	—
293	D₄	—	2	2	no	—
294	D₄	—	2	2	no	—
295	D₄	—	4	4	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	4	1	no	—
302	C₂×C₄	—	4	4	no	—
303	C₂×C₄	—	4	2	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	8	2	no	—
306	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
307	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
308	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
309	C₂×C₄	C₂×C₁₃×M₁₆	1	2	yes	—
310	C₂×C₄	C₁₃×#131	1	2	yes	—
311	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
312	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
313	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
314	C₈	—	2	1	no	—
315	C₈	—	2	1	no	—
316	C₈	—	2	2	no	—
317	C₈	—	2	2	no	—
318	C₈	—	4	2	no	—
319	C₈	—	4	4	no	—
320	C₈	C₂×C₁₃×M₁₆	1	2	yes	—
321	C₈	C₂×C₁₃×M₁₆	1	2	yes	—
322	C₂²	—	2	1	no	—
323	C₂²	—	2	1	no	—
324	C₂²	—	4	2	no	—
325	C₂²	—	4	2	no	—
326	C₂²	—	4	2	no	—
327	C₂²	C₁₃×#436	1	2	yes	—
328	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
329	C₄	—	2	1	no	—
330	C₄	—	2	1	no	—
331	C₄	—	2	1	no	—
332	C₄	—	4	2	no	—
333	C₄	—	4	2	no	—
334	C₄	—	4	2	no	—
335	C₄	C₁₃×#436	1	2	yes	—
336	C₄	C₂²×C₁₃×M₁₆	1	1	yes	characteristic
337	C₄	C₂×C₁₃×#131	1	1	yes	characteristic
338	C₄	C₁₃×#576	1	1	yes	characteristic
339	C₄	C₁₃×#578	1	1	yes	characteristic
340	C₂	—	2	2	no	—
341	C₂	—	8	2	no	—
342	C₂	C₂×C₁₃×#436	1	1	yes	characteristic
343	C₂	C₁₃×#2951	1	1	yes	characteristic
344	C₂	C₁₃×#2957	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₄²	C₂⁴×C₁₃
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂×C₁₃×#135	C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ C₁₃×#431 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2989	C₂	semidirect
3. C₁₃×#1592	C₂	semidirect
4. C₁₃×#1591	C₂	semidirect
5. C₁₃×#1589	C₂	semidirect
6. C₂×C₁₃×#335	C₂	semidirect
7. C₁₃×#1477	C₂	semidirect
8. C₁₃×#1450	C₂	semidirect
76. #17898	C₁₃	direct (N × H)
96. C₂×C₈×C₁₃	M₁₆	semidirect
117. #2989	C₂×C₁₃	semidirect
119. #1592	C₂×C₁₃	semidirect
120. #1591	C₂×C₁₃	semidirect
121. #1589	C₂×C₁₃	semidirect
122. C₂×#335	C₂×C₁₃	semidirect
123. #1477	C₂×C₁₃	semidirect
124. #1450	C₂×C₁₃	semidirect
267. C₂×C₈	C₁₃×M₁₆	semidirect
288. C₁₃	#17898	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×#2989	2
C₄×C₁₃×#135	2
C₁₃×#1592	2
C₁₃×#1591	2
C₁₃×#1589	2
C₂×C₁₃×#335	2
C₁₃×#1477	2
C₁₃×#1450	2
#17898	13

Subgroups — C13×#17898 #15704237

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#17898 #15704237