Subgroups — C₁₃×#32471 #15718810

Order 3328.

670 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2485	C₂	1	2	yes	maximal
2	C₁₃×#2088	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2077	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2077	C₂	1	2	yes	maximal, complemented
5	C₁₃×#1955	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1944	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1944	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1854	C₂	1	2	yes	maximal, complemented
9	C₁₃×#1854	C₂	1	2	yes	maximal, complemented
10	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#117	C₂²	1	2	yes	—
12	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
14	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#106	C₂²	1	2	yes	—
17	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
19	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
20	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
21	C₁₃×#397	—	2	2	no	—
22	C₁₃×#394	—	2	2	no	—
23	C₁₃×#389	C₂²	1	2	yes	—
24	C₁₃×#389	C₂²	1	2	yes	—
25	C₁₃×#388	—	2	2	no	—
26	C₁₃×#387	—	2	2	no	—
27	C₁₃×#380	C₂²	1	2	yes	—
28	C₁₃×#380	C₂²	1	2	yes	—
29	C₁₃×#380	C₂²	1	2	yes	—
30	C₁₃×#340	C₂²	1	2	yes	—
31	C₁₃×#340	C₂²	1	2	yes	—
32	C₁₃×#340	C₂²	1	2	yes	—
33	C₁₃×#340	C₂²	1	2	yes	—
34	C₁₃×#340	C₂²	1	2	yes	—
35	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
37	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
38	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
39	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
40	C₄×D₄×C₁₃	—	4	1	no	—
41	C₄×D₄×C₁₃	—	4	1	no	—
42	C₁₃×#117	—	4	2	no	—
43	C₁₃×#117	—	4	2	no	—
44	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
45	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
46	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
47	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
48	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
49	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
50	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
51	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
52	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
53	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
54	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
55	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
56	C₂×C₄²×C₁₃	—	2	2	no	—
57	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
58	C₁₃×#107	—	4	1	no	—
59	C₁₃×#107	—	4	1	no	—
60	C₁₃×#106	—	2	2	no	—
61	C₁₃×#106	—	2	2	no	—
62	C₁₃×#106	—	4	2	no	—
63	C₁₃×C₄⋊C₈	—	4	1	no	—
64	C₁₃×C₂²⋊C₈	—	2	4	no	—
65	C₁₃×C₂²⋊C₈	—	2	4	no	—
66	C₁₃×#97	—	4	1	no	—
67	C₁₃×#95	—	2	2	no	—
68	C₁₃×#95	—	2	2	no	—
69	C₁₃×#95	—	2	2	no	—
70	C₁₃×#95	—	2	2	no	—
71	C₁₃×#95	—	2	2	no	—
72	#32471	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
73	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
74	C₂×D₄×C₁₃	—	4	1	no	—
75	C₂×D₄×C₁₃	—	4	2	no	—
76	C₂²×C₄×C₁₃	—	2	2	no	—
77	C₂²×C₄×C₁₃	—	2	2	no	—
78	C₂²×C₄×C₁₃	—	2	2	no	—
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	—	2	2	no	—
84	C₂²×C₄×C₁₃	—	2	2	no	—
85	C₂²×C₄×C₁₃	—	2	2	no	—
86	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
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	1	no	—
91	C₂×C₈×C₁₃	—	2	1	no	—
92	C₂×C₈×C₁₃	—	2	1	no	—
93	C₂×C₈×C₁₃	—	2	1	no	—
94	C₂×C₈×C₁₃	—	2	2	no	—
95	C₂×C₈×C₁₃	—	2	2	no	—
96	C₂×C₈×C₁₃	—	2	2	no	—
97	C₂×C₈×C₁₃	#41	1	2	yes	—
98	C₂×C₈×C₁₃	#41	1	2	yes	—
99	C₁₃×C₄⋊C₄	—	2	2	no	—
100	C₁₃×C₄⋊C₄	—	2	2	no	—
101	C₁₃×C₄⋊C₄	—	2	2	no	—
102	C₁₃×C₄⋊C₄	—	2	2	no	—
103	C₁₃×C₄⋊C₄	—	2	2	no	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	—	2	2	no	—
106	C₁₃×C₄⋊C₄	—	2	2	no	—
107	C₁₃×C₄⋊C₄	—	4	1	no	—
108	C₁₃×C₄⋊C₄	—	4	4	no	—
109	C₁₃×C₄⋊C₄	—	8	2	no	—
110	C₁₃×C₂²⋊C₄	—	4	2	no	—
111	C₁₃×C₂²⋊C₄	—	4	4	no	—
112	C₁₃×C₂²⋊C₄	—	4	4	no	—
113	C₁₃×C₂²⋊C₄	—	8	2	no	—
114	C₁₃×C₂²⋊C₄	—	8	2	no	—
115	C₄²×C₁₃	—	2	1	no	—
116	C₄²×C₁₃	—	2	1	no	—
117	C₄²×C₁₃	—	4	4	no	—
118	#2485	C₂×C₁₃	1	2	yes	—
119	#2088	C₂×C₁₃	1	2	yes	complemented
120	#2077	C₂×C₁₃	1	2	yes	complemented
121	#2077	C₂×C₁₃	1	2	yes	complemented
122	#1955	C₂×C₁₃	1	1	yes	characteristic
123	#1944	C₂×C₁₃	1	1	yes	characteristic, complemented
124	#1944	C₂×C₁₃	1	1	yes	characteristic, complemented
125	#1854	C₂×C₁₃	1	2	yes	complemented
126	#1854	C₂×C₁₃	1	2	yes	complemented
127	C₂³×C₁₃	—	2	2	no	—
128	C₂³×C₁₃	—	2	2	no	—
129	C₂³×C₁₃	—	2	2	no	—
130	C₂³×C₁₃	—	2	2	no	—
131	C₂³×C₁₃	—	2	2	no	—
132	C₂³×C₁₃	—	2	2	no	—
133	C₂³×C₁₃	—	2	2	no	—
134	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
135	D₄×C₁₃	—	4	4	no	—
136	C₂×C₄×C₁₃	—	2	1	no	—
137	C₂×C₄×C₁₃	—	2	1	no	—
138	C₂×C₄×C₁₃	—	2	2	no	—
139	C₂×C₄×C₁₃	—	2	2	no	—
140	C₂×C₄×C₁₃	—	2	2	no	—
141	C₂×C₄×C₁₃	—	2	2	no	—
142	C₂×C₄×C₁₃	—	2	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	—	4	2	no	—
154	C₂×C₄×C₁₃	—	4	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	C₂×#41	1	1	yes	characteristic
160	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
161	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
162	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
163	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
164	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
165	C₈×C₁₃	—	2	2	no	—
166	C₈×C₁₃	—	2	2	no	—
167	C₈×C₁₃	—	4	2	no	—
168	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
169	C₂×#117	C₂²×C₁₃	1	2	yes	—
170	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
171	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
172	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
173	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
174	C₂×#106	C₂²×C₁₃	1	2	yes	—
175	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
176	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
177	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
178	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
179	#397	—	2	2	no	—
180	#394	—	2	2	no	—
181	#389	C₂²×C₁₃	1	2	yes	—
182	#389	C₂²×C₁₃	1	2	yes	—
183	#388	—	2	2	no	—
184	#387	—	2	2	no	—
185	#380	C₂²×C₁₃	1	2	yes	—
186	#380	C₂²×C₁₃	1	2	yes	—
187	#380	C₂²×C₁₃	1	2	yes	—
188	#340	C₂²×C₁₃	1	2	yes	—
189	#340	C₂²×C₁₃	1	2	yes	—
190	#340	C₂²×C₁₃	1	2	yes	—
191	#340	C₂²×C₁₃	1	2	yes	—
192	#340	C₂²×C₁₃	1	2	yes	—
193	C₂²×C₁₃	—	4	2	no	—
194	C₂²×C₁₃	—	4	2	no	—
195	C₂²×C₁₃	—	4	2	no	—
196	C₂²×C₁₃	—	4	2	no	—
197	C₂²×C₁₃	—	4	2	no	—
198	C₂²×C₁₃	—	4	2	no	—
199	C₂²×C₁₃	—	4	2	no	—
200	C₂²×C₁₃	#534	1	1	yes	characteristic
201	C₂²×C₁₃	#547	1	1	yes	characteristic
202	C₂²×C₁₃	#547	1	1	yes	characteristic
203	C₂²×C₁₃	#575	1	2	yes	—
204	C₂²×C₁₃	#577	1	2	yes	—
205	C₄×C₁₃	—	4	1	no	—
206	C₄×C₁₃	—	4	1	no	—
207	C₄×C₁₃	—	4	2	no	—
208	C₄×C₁₃	—	8	2	no	—
209	C₄×C₁₃	—	8	2	no	—
210	C₄×C₁₃	—	8	2	no	—
211	C₄×C₁₃	—	8	2	no	—
212	C₄×C₁₃	#539	1	1	yes	characteristic
213	C₄×C₁₃	#539	1	1	yes	characteristic
214	C₄×C₁₃	#559	1	1	yes	characteristic
215	C₄×C₁₃	#563	1	1	yes	characteristic
216	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
217	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
218	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
219	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
220	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
221	C₄×D₄	—	4	1	no	—
222	C₄×D₄	—	4	1	no	—
223	#117	—	4	2	no	—
224	#117	—	4	2	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	—	2	2	no	—
227	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
228	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
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×C₂²⋊C₄	—	2	2	no	—
233	C₂×C₂²⋊C₄	—	2	2	no	—
234	C₂×C₂²⋊C₄	—	2	2	no	—
235	C₂×C₂²⋊C₄	—	2	2	no	—
236	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
237	C₂×C₄²	—	2	2	no	—
238	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
239	#107	—	4	1	no	—
240	#107	—	4	1	no	—
241	#106	—	2	2	no	—
242	#106	—	2	2	no	—
243	#106	—	4	2	no	—
244	C₄⋊C₈	—	4	1	no	—
245	C₂²⋊C₈	—	2	4	no	—
246	C₂²⋊C₈	—	2	4	no	—
247	#97	—	4	1	no	—
248	#95	—	2	2	no	—
249	#95	—	2	2	no	—
250	#95	—	2	2	no	—
251	#95	—	2	2	no	—
252	#95	—	2	2	no	—
253	C₂×C₁₃	—	8	2	no	—
254	C₂×C₁₃	#2724	1	1	yes	characteristic
255	C₂×C₁₃	#3197	1	1	yes	characteristic
256	C₂×C₁₃	#3204	1	1	yes	characteristic
257	C₂×C₁₃	#3348	1	2	yes	—
258	C₂×C₁₃	#3350	1	2	yes	—
259	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
260	C₂×D₄	—	4	1	no	—
261	C₂×D₄	—	4	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	—	2	2	no	—
272	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
273	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
274	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
275	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
276	C₂×C₈	—	2	1	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	1	no	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	C₁₃×#41	1	2	yes	—
284	C₂×C₈	C₁₃×#41	1	2	yes	—
285	C₄⋊C₄	—	2	2	no	—
286	C₄⋊C₄	—	2	2	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	2	no	—
289	C₄⋊C₄	—	2	2	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	4	1	no	—
294	C₄⋊C₄	—	4	4	no	—
295	C₄⋊C₄	—	8	2	no	—
296	C₂²⋊C₄	—	4	2	no	—
297	C₂²⋊C₄	—	4	4	no	—
298	C₂²⋊C₄	—	4	4	no	—
299	C₂²⋊C₄	—	8	2	no	—
300	C₂²⋊C₄	—	8	2	no	—
301	C₄²	—	2	1	no	—
302	C₄²	—	2	1	no	—
303	C₄²	—	4	4	no	—
304	C₁₃	#32471	1	1	yes	characteristic, direct product factor, Sylow
305	C₂³	—	2	2	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	2	2	no	—
308	C₂³	—	2	2	no	—
309	C₂³	—	2	2	no	—
310	C₂³	—	2	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
313	D₄	—	4	4	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	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	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	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	C₂×C₁₃×#41	1	1	yes	characteristic
338	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
339	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
340	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
341	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
342	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
343	C₈	—	2	2	no	—
344	C₈	—	2	2	no	—
345	C₈	—	4	2	no	—
346	C₂²	—	4	2	no	—
347	C₂²	—	4	2	no	—
348	C₂²	—	4	2	no	—
349	C₂²	—	4	2	no	—
350	C₂²	—	4	2	no	—
351	C₂²	—	4	2	no	—
352	C₂²	—	4	2	no	—
353	C₂²	C₁₃×#534	1	1	yes	characteristic
354	C₂²	C₁₃×#547	1	1	yes	characteristic
355	C₂²	C₁₃×#547	1	1	yes	characteristic
356	C₂²	C₁₃×#575	1	2	yes	—
357	C₂²	C₁₃×#577	1	2	yes	—
358	C₄	—	4	1	no	—
359	C₄	—	4	1	no	—
360	C₄	—	4	2	no	—
361	C₄	—	8	2	no	—
362	C₄	—	8	2	no	—
363	C₄	—	8	2	no	—
364	C₄	—	8	2	no	—
365	C₄	C₁₃×#539	1	1	yes	characteristic
366	C₄	C₁₃×#539	1	1	yes	characteristic
367	C₄	C₁₃×#559	1	1	yes	characteristic
368	C₄	C₁₃×#563	1	1	yes	characteristic
369	C₂	—	8	2	no	—
370	C₂	C₁₃×#2724	1	1	yes	characteristic
371	C₂	C₁₃×#3197	1	1	yes	characteristic
372	C₂	C₁₃×#3204	1	1	yes	characteristic
373	C₂	C₁₃×#3348	1	2	yes	—
374	C₂	C₁₃×#3350	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2088	C₂	semidirect
3. C₁₃×#2077	C₂	semidirect
4. C₁₃×#2077	C₂	semidirect
6. C₁₃×#1944	C₂	semidirect
7. C₁₃×#1944	C₂	semidirect
8. C₁₃×#1854	C₂	semidirect
9. C₁₃×#1854	C₂	semidirect
72. #32471	C₁₃	direct (N × H)
119. #2088	C₂×C₁₃	semidirect
120. #2077	C₂×C₁₃	semidirect
121. #2077	C₂×C₁₃	semidirect
123. #1944	C₂×C₁₃	semidirect
124. #1944	C₂×C₁₃	semidirect
125. #1854	C₂×C₁₃	semidirect
126. #1854	C₂×C₁₃	semidirect
304. C₁₃	#32471	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×#2485	2
C₁₃×#2088	2
C₁₃×#2077	2
C₁₃×#1955	2
C₁₃×#1944	2
C₁₃×#1854	2
#32471	13

Subgroups — C13×#32471 #15718810

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#32471 #15718810