Subgroups — C₁₃×#29191 #15715530

Order 3328.

738 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2859	C₂	1	1	yes	maximal, characteristic
2	C₄×C₁₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2066	C₂	1	4	yes	maximal
4	C₁₃×#1956	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#1956	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1865	C₂	1	4	yes	maximal
7	C₁₃×#1844	C₂	1	1	yes	maximal, characteristic
8	C₁₃×#1834	C₂	1	1	yes	maximal, characteristic
9	C₄×C₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
10	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#125	—	2	1	no	—
12	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
13	C₂×C₁₃×#106	C₂²	1	4	yes	—
14	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₁₃×#103	C₂²	1	4	yes	—
16	C₂×C₁₃×#103	C₂²	1	4	yes	—
17	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
18	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
19	C₁₃×#391	C₂²	1	2	yes	—
20	C₁₃×#389	—	2	1	no	—
21	C₁₃×#389	—	2	1	no	—
22	C₁₃×#389	—	2	1	no	—
23	C₁₃×#389	—	2	1	no	—
24	C₁₃×#389	C₂²	1	2	yes	—
25	C₁₃×#389	C₂²	1	2	yes	—
26	C₁₃×#384	C₂²	1	1	yes	characteristic
27	C₁₃×#384	C₂²	1	1	yes	characteristic
28	C₁₃×#384	C₂²	1	1	yes	characteristic
29	C₁₃×#382	—	2	1	no	—
30	C₄×C₁₃×C₄⋊C₄	—	2	1	no	—
31	C₄×C₁₃×C₄⋊C₄	—	2	1	no	—
32	C₄³×C₁₃	C₂²	1	1	yes	characteristic
33	C₁₃×#340	C₂²	1	4	yes	—
34	C₁₃×#336	C₂²	1	2	yes	—
35	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
36	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
37	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
38	C₁₃×C₄⋊Q₈	—	2	2	no	—
39	C₁₃×C₄⋊Q₈	Q₈	1	4	yes	—
40	C₁₃×#125	—	4	4	no	—
41	C₄×Q₈×C₁₃	—	4	4	no	—
42	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
43	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
44	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
45	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
46	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
47	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
48	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
49	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
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	D₄	1	1	yes	characteristic
58	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
59	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
60	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
61	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
62	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
64	C₁₃×#106	—	4	4	no	—
65	C₁₃×C₄⋊C₈	—	2	4	no	—
66	C₁₃×#103	—	2	8	no	—
67	C₁₃×#103	—	4	4	no	—
68	C₄×C₈×C₁₃	—	2	2	no	—
69	C₄×C₈×C₁₃	—	2	2	no	—
70	C₁₃×#95	—	2	2	no	—
71	C₁₃×#95	—	2	2	no	—
72	C₁₃×#95	—	2	2	no	—
73	C₁₃×#95	—	2	2	no	—
74	#29191	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
75	C₂×Q₈×C₁₃	—	2	2	no	—
76	C₂×Q₈×C₁₃	—	2	4	no	—
77	C₂×Q₈×C₁₃	—	2	4	no	—
78	C₂×Q₈×C₁₃	C₂×Q₈	1	4	yes	—
79	C₂²×C₄×C₁₃	—	2	2	no	—
80	C₂²×C₄×C₁₃	—	2	2	no	—
81	C₂²×C₄×C₁₃	—	2	2	no	—
82	C₂²×C₄×C₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
90	C₂×C₈×C₁₃	—	2	2	no	—
91	C₂×C₈×C₁₃	—	2	2	no	—
92	C₂×C₈×C₁₃	—	2	2	no	—
93	C₂×C₈×C₁₃	—	2	2	no	—
94	C₂×C₈×C₁₃	—	2	2	no	—
95	C₂×C₈×C₁₃	#41	1	4	yes	—
96	C₁₃×C₄⋊C₄	—	2	4	no	—
97	C₁₃×C₄⋊C₄	—	2	4	no	—
98	C₁₃×C₄⋊C₄	—	2	4	no	—
99	C₁₃×C₄⋊C₄	—	2	4	no	—
100	C₁₃×C₄⋊C₄	—	2	4	no	—
101	C₁₃×C₄⋊C₄	—	4	4	no	—
102	C₁₃×C₄⋊C₄	—	4	4	no	—
103	C₁₃×C₄⋊C₄	—	4	4	no	—
104	C₁₃×C₄⋊C₄	—	4	2	no	—
105	C₁₃×C₄⋊C₄	—	4	2	no	—
106	C₁₃×C₄⋊C₄	—	4	2	no	—
107	C₁₃×C₄⋊C₄	—	4	2	no	—
108	C₁₃×C₄⋊C₄	—	4	2	no	—
109	C₁₃×C₄⋊C₄	—	4	2	no	—
110	C₄²×C₁₃	—	2	2	no	—
111	C₄²×C₁₃	—	2	2	no	—
112	C₄²×C₁₃	—	2	2	no	—
113	C₄²×C₁₃	—	2	2	no	—
114	C₄²×C₁₃	—	2	2	no	—
115	C₄²×C₁₃	—	4	4	no	—
116	C₄²×C₁₃	SD₁₆	1	4	yes	—
117	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
118	C₄²×C₁₃	#41	1	2	yes	—
119	#2859	C₂×C₁₃	1	1	yes	characteristic
120	C₄×C₄⋊Q₈	C₂×C₁₃	1	1	yes	characteristic
121	#2066	C₂×C₁₃	1	4	yes	—
122	#1956	C₂×C₁₃	1	1	yes	characteristic
123	#1956	C₂×C₁₃	1	1	yes	characteristic
124	#1865	C₂×C₁₃	1	4	yes	—
125	#1844	C₂×C₁₃	1	1	yes	characteristic
126	#1834	C₂×C₁₃	1	1	yes	characteristic
127	C₄×C₄⋊C₈	C₂×C₁₃	1	1	yes	characteristic
128	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
129	Q₈×C₁₃	—	2	8	no	—
130	Q₈×C₁₃	—	4	4	no	—
131	C₂×C₄×C₁₃	—	2	1	no	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	4	no	—
136	C₂×C₄×C₁₃	—	2	1	no	—
137	C₂×C₄×C₁₃	—	2	1	no	—
138	C₂×C₄×C₁₃	—	2	1	no	—
139	C₂×C₄×C₁₃	—	2	1	no	—
140	C₂×C₄×C₁₃	—	2	1	no	—
141	C₂×C₄×C₁₃	—	2	1	no	—
142	C₂×C₄×C₁₃	—	4	2	no	—
143	C₂×C₄×C₁₃	—	4	2	no	—
144	C₂×C₄×C₁₃	—	4	2	no	—
145	C₂×C₄×C₁₃	—	4	2	no	—
146	C₂×C₄×C₁₃	—	4	2	no	—
147	C₂×C₄×C₁₃	—	4	2	no	—
148	C₂×C₄×C₁₃	—	4	2	no	—
149	C₂×C₄×C₁₃	—	4	2	no	—
150	C₂×C₄×C₁₃	—	4	2	no	—
151	C₂×C₄×C₁₃	—	4	2	no	—
152	C₂×C₄×C₁₃	—	4	2	no	—
153	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
154	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
155	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
156	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
157	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
158	C₂×C₄×C₁₃	#135	1	2	yes	—
159	C₂×C₄×C₁₃	#137	1	2	yes	—
160	C₂×C₄×C₁₃	#137	1	2	yes	—
161	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
162	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
163	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
164	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
165	C₈×C₁₃	—	2	4	no	—
166	C₈×C₁₃	—	4	2	no	—
167	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
168	C₂×#125	—	2	1	no	—
169	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
170	C₂×#106	C₂²×C₁₃	1	4	yes	—
171	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
172	C₂×#103	C₂²×C₁₃	1	4	yes	—
173	C₂×#103	C₂²×C₁₃	1	4	yes	—
174	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
175	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
176	#391	C₂²×C₁₃	1	2	yes	—
177	#389	—	2	1	no	—
178	#389	—	2	1	no	—
179	#389	—	2	1	no	—
180	#389	—	2	1	no	—
181	#389	C₂²×C₁₃	1	2	yes	—
182	#389	C₂²×C₁₃	1	2	yes	—
183	#384	C₂²×C₁₃	1	1	yes	characteristic
184	#384	C₂²×C₁₃	1	1	yes	characteristic
185	#384	C₂²×C₁₃	1	1	yes	characteristic
186	#382	—	2	1	no	—
187	C₄×C₄⋊C₄	—	2	1	no	—
188	C₄×C₄⋊C₄	—	2	1	no	—
189	C₄³	C₂²×C₁₃	1	1	yes	characteristic
190	#340	C₂²×C₁₃	1	4	yes	—
191	#336	C₂²×C₁₃	1	2	yes	—
192	C₂²×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
193	C₂²×C₁₃	#532	1	1	yes	characteristic
194	C₂²×C₁₃	#535	1	1	yes	characteristic
195	C₂²×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
196	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
197	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
198	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
199	C₄×C₁₃	—	2	2	no	—
200	C₄×C₁₃	—	2	2	no	—
201	C₄×C₁₃	—	4	4	no	—
202	C₄×C₁₃	—	4	1	no	—
203	C₄×C₁₃	—	4	1	no	—
204	C₄×C₁₃	—	8	2	no	—
205	C₄×C₁₃	—	8	2	no	—
206	C₄×C₁₃	—	8	2	no	—
207	C₄×C₁₃	#475	1	4	yes	—
208	C₄×C₁₃	#479	1	4	yes	—
209	C₄×C₁₃	#553	1	2	yes	—
210	C₄×C₁₃	#554	1	2	yes	—
211	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
212	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
213	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
214	C₄⋊Q₈	—	2	2	no	—
215	C₄⋊Q₈	Q₈×C₁₃	1	4	yes	—
216	#125	—	4	4	no	—
217	C₄×Q₈	—	4	4	no	—
218	C₂×C₄⋊C₄	—	2	1	no	—
219	C₂×C₄⋊C₄	—	2	1	no	—
220	C₂×C₄⋊C₄	—	2	2	no	—
221	C₂×C₄⋊C₄	—	2	1	no	—
222	C₂×C₄⋊C₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	2	no	—
224	C₂×C₄⋊C₄	—	2	2	no	—
225	C₂×C₄⋊C₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	—	2	1	no	—
229	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
230	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
231	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
232	C₂×C₄²	—	2	2	no	—
233	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
234	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
235	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
236	C₂×C₄²	D₄×C₁₃	1	1	yes	characteristic
237	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
238	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
239	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
240	#106	—	4	4	no	—
241	C₄⋊C₈	—	2	4	no	—
242	#103	—	2	8	no	—
243	#103	—	4	4	no	—
244	C₄×C₈	—	2	2	no	—
245	C₄×C₈	—	2	2	no	—
246	#95	—	2	2	no	—
247	#95	—	2	2	no	—
248	#95	—	2	2	no	—
249	#95	—	2	2	no	—
250	C₂×C₁₃	#2566	1	1	yes	characteristic
251	C₂×C₁₃	C₂×#475	1	1	yes	characteristic
252	C₂×C₁₃	C₂×#479	1	1	yes	characteristic
253	C₂×C₁₃	#3167	1	1	yes	characteristic
254	C₂×C₁₃	#3185	1	1	yes	characteristic
255	C₂×C₁₃	#3206	1	1	yes	characteristic
256	C₂×C₁₃	#3210	1	1	yes	characteristic
257	C₂×Q₈	—	2	2	no	—
258	C₂×Q₈	—	2	4	no	—
259	C₂×Q₈	—	2	4	no	—
260	C₂×Q₈	C₂×Q₈×C₁₃	1	4	yes	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
266	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
267	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
268	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
269	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
270	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
271	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	C₁₃×#41	1	4	yes	—
278	C₄⋊C₄	—	2	4	no	—
279	C₄⋊C₄	—	2	4	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	2	4	no	—
282	C₄⋊C₄	—	2	4	no	—
283	C₄⋊C₄	—	4	4	no	—
284	C₄⋊C₄	—	4	4	no	—
285	C₄⋊C₄	—	4	4	no	—
286	C₄⋊C₄	—	4	2	no	—
287	C₄⋊C₄	—	4	2	no	—
288	C₄⋊C₄	—	4	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	2	no	—
291	C₄⋊C₄	—	4	2	no	—
292	C₄²	—	2	2	no	—
293	C₄²	—	2	2	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	2	no	—
296	C₄²	—	2	2	no	—
297	C₄²	—	4	4	no	—
298	C₄²	C₁₃×SD₁₆	1	4	yes	—
299	C₄²	C₂×Q₈×C₁₃	1	2	yes	—
300	C₄²	C₁₃×#41	1	2	yes	—
301	C₁₃	#29191	1	1	yes	characteristic, direct product factor, Sylow
302	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
303	Q₈	—	2	8	no	—
304	Q₈	—	4	4	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	4	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
328	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
329	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
330	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
331	C₂×C₄	C₂×C₁₃×SD₁₆	1	2	yes	—
332	C₂×C₄	C₁₃×#135	1	2	yes	—
333	C₂×C₄	C₁₃×#137	1	2	yes	—
334	C₂×C₄	C₁₃×#137	1	2	yes	—
335	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
336	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
337	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
338	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
339	C₈	—	2	4	no	—
340	C₈	—	4	2	no	—
341	C₂²	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
342	C₂²	C₁₃×#532	1	1	yes	characteristic
343	C₂²	C₁₃×#535	1	1	yes	characteristic
344	C₂²	C₂²×C₁₃×SD₁₆	1	1	yes	characteristic
345	C₂²	C₂×C₁₃×#135	1	1	yes	characteristic
346	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
347	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
348	C₄	—	2	2	no	—
349	C₄	—	2	2	no	—
350	C₄	—	4	4	no	—
351	C₄	—	4	1	no	—
352	C₄	—	4	1	no	—
353	C₄	—	8	2	no	—
354	C₄	—	8	2	no	—
355	C₄	—	8	2	no	—
356	C₄	C₁₃×#475	1	4	yes	—
357	C₄	C₁₃×#479	1	4	yes	—
358	C₄	C₁₃×#553	1	2	yes	—
359	C₄	C₁₃×#554	1	2	yes	—
360	C₂	C₁₃×#2566	1	1	yes	characteristic
361	C₂	C₂×C₁₃×#475	1	1	yes	characteristic
362	C₂	C₂×C₁₃×#479	1	1	yes	characteristic
363	C₂	C₁₃×#3167	1	1	yes	characteristic
364	C₂	C₁₃×#3185	1	1	yes	characteristic
365	C₂	C₁₃×#3206	1	1	yes	characteristic
366	C₂	C₁₃×#3210	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₄³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
74. #29191	C₁₃	direct (N × H)
301. C₁₃	#29191	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×#2859	2
C₄×C₁₃×C₄⋊Q₈	2
C₁₃×#2066	2
C₁₃×#1956	2
C₁₃×#1865	2
C₁₃×#1844	2
C₁₃×#1834	2
C₄×C₁₃×C₄⋊C₈	2
#29191	13

Subgroups — C13×#29191 #15715530

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#29191 #15715530