Subgroups — C₂×C₁₃×#3245 #15747233

Order 3328.

2458 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#532	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3245	C₂	1	16	yes	maximal, direct product factor
3	C₂×C₁₃×#474	C₂	1	4	yes	maximal, complemented
4	C₂×C₁₃×#466	C₂	1	4	yes	maximal, complemented
5	C₂×C₁₃×#459	C₂	1	4	yes	maximal, complemented
6	C₂²×C₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×C₁₃×#41	—	2	2	no	—
8	C₂²×C₁₃×D₈	C₂²	1	4	yes	—
9	C₂³×C₈×C₁₃	C₂²	1	2	yes	—
10	C₁₃×#532	—	2	8	no	—
11	C₁₃×#532	C₂²	1	16	yes	complemented
12	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
13	C₂×C₁₃×#127	C₂²	1	2	yes	—
14	C₂×C₁₃×#124	—	2	2	no	—
15	C₂×C₁₃×#121	—	2	2	no	—
16	C₂×C₁₃×#121	C₂²	1	4	yes	—
17	C₂×C₄×D₄×C₁₃	—	2	2	no	—
18	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
19	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
20	C₁₃×#474	C₂²	1	32	yes	complemented
21	C₁₃×#466	C₂²	1	32	yes	complemented
22	C₁₃×#459	C₂²	1	32	yes	complemented
23	C₂×C₁₃×#107	C₂²	1	4	yes	—
24	C₂×C₁₃×C₄⋊C₈	C₂²	1	4	yes	—
25	C₂×C₁₃×C₄⋊C₈	C₂²	1	8	yes	complemented
26	C₂×C₁₃×#102	C₂²	1	8	yes	—
27	C₂×C₁₃×#41	—	2	16	no	—
28	C₂×C₁₃×#41	—	4	16	no	—
29	C₂²×Q₈×C₁₃	—	2	2	no	—
30	C₂²×D₄×C₁₃	—	2	4	no	—
31	C₂²×D₄×C₁₃	—	2	2	no	—
32	C₂²×D₄×C₁₃	—	2	2	no	—
33	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
34	C₂³×C₄×C₁₃	—	2	4	no	—
35	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
38	C₂×C₁₃×D₈	—	4	8	no	—
39	C₂×C₁₃×D₈	C₂³	1	16	yes	—
40	C₂²×C₈×C₁₃	—	4	4	no	—
41	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
42	C₂²×C₈×C₁₃	C₂³	1	8	yes	—
43	C₁₃×C₄⋊Q₈	—	2	4	no	—
44	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
45	C₁₃×#127	—	2	4	no	—
46	C₁₃×#127	C₂³	1	8	yes	—
47	C₁₃×#124	—	2	16	no	—
48	C₁₃×#121	—	2	16	no	—
49	C₁₃×#121	—	2	8	no	—
50	C₁₃×#121	C₂³	1	16	yes	—
51	C₄×D₄×C₁₃	—	2	16	no	—
52	C₄×D₄×C₁₃	—	2	8	no	—
53	C₄×D₄×C₁₃	C₂³	1	16	yes	—
54	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
55	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
56	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
57	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
58	C₂×C₄²×C₁₃	D₄	1	2	yes	—
59	C₂×C₄²×C₁₃	D₄	1	4	yes	—
60	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
61	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
62	C₁₃×#107	C₂³	1	16	yes	—
63	C₁₃×C₄⋊C₈	C₂³	1	16	yes	—
64	C₁₃×#102	C₂³	1	32	yes	—
65	C₂×#3245	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
66	C₂⁴×C₁₃	—	2	4	no	—
67	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
68	C₁₃×#41	—	4	64	no	—
69	C₂×Q₈×C₁₃	—	2	8	no	—
70	C₂×Q₈×C₁₃	—	4	8	no	—
71	C₂×D₄×C₁₃	—	2	16	no	—
72	C₂×D₄×C₁₃	—	2	4	no	—
73	C₂×D₄×C₁₃	—	2	8	no	—
74	C₂×D₄×C₁₃	—	2	8	no	—
75	C₂×D₄×C₁₃	—	2	8	no	—
76	C₂×D₄×C₁₃	—	2	8	no	—
77	C₂×D₄×C₁₃	—	4	8	no	—
78	C₂×D₄×C₁₃	—	4	16	no	—
79	C₂×D₄×C₁₃	—	4	8	no	—
80	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
81	C₂²×C₄×C₁₃	—	2	2	no	—
82	C₂²×C₄×C₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	—	2	4	no	—
84	C₂²×C₄×C₁₃	—	2	16	no	—
85	C₂²×C₄×C₁₃	—	4	2	no	—
86	C₂²×C₄×C₁₃	—	4	16	no	—
87	C₂²×C₄×C₁₃	D₈	1	8	yes	complemented
88	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
92	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
94	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
95	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
96	C₁₃×D₈	—	4	16	no	—
97	C₂×C₈×C₁₃	—	2	8	no	—
98	C₂×C₈×C₁₃	—	4	8	no	—
99	C₂×C₈×C₁₃	C₂⁴	1	8	yes	—
100	C₁₃×C₄⋊C₄	—	2	8	no	—
101	C₁₃×C₄⋊C₄	—	2	4	no	—
102	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
103	C₁₃×C₂²⋊C₄	—	2	16	no	—
104	C₁₃×C₂²⋊C₄	—	2	16	no	—
105	C₄²×C₁₃	C₂×D₄	1	8	yes	—
106	C₄²×C₁₃	C₂×D₄	1	4	yes	—
107	C₄²×C₁₃	C₂⁴	1	4	yes	—
108	C₂×#532	C₂×C₁₃	1	2	yes	complemented
109	#3245	C₂×C₁₃	1	16	yes	direct product factor
110	C₂×#474	C₂×C₁₃	1	4	yes	complemented
111	C₂×#466	C₂×C₁₃	1	4	yes	complemented
112	C₂×#459	C₂×C₁₃	1	4	yes	complemented
113	C₂²×C₄⋊C₈	C₂×C₁₃	1	1	yes	characteristic, complemented
114	C₂³×C₁₃	—	2	2	no	—
115	C₂³×C₁₃	—	2	2	no	—
116	C₂³×C₁₃	—	2	8	no	—
117	C₂³×C₁₃	—	4	8	no	—
118	C₂³×C₁₃	—	4	8	no	—
119	C₂³×C₁₃	—	4	8	no	—
120	C₂³×C₁₃	C₂×D₈	1	4	yes	—
121	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
122	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
123	Q₈×C₁₃	—	4	16	no	—
124	D₄×C₁₃	—	2	8	no	—
125	D₄×C₁₃	—	2	8	no	—
126	D₄×C₁₃	—	4	16	no	—
127	D₄×C₁₃	—	4	32	no	—
128	D₄×C₁₃	—	4	8	no	—
129	D₄×C₁₃	—	4	16	no	—
130	C₂×C₄×C₁₃	—	2	2	no	—
131	C₂×C₄×C₁₃	—	2	4	no	—
132	C₂×C₄×C₁₃	—	2	4	no	—
133	C₂×C₄×C₁₃	—	2	2	no	—
134	C₂×C₄×C₁₃	—	2	2	no	—
135	C₂×C₄×C₁₃	—	2	8	no	—
136	C₂×C₄×C₁₃	—	4	4	no	—
137	C₂×C₄×C₁₃	—	4	8	no	—
138	C₂×C₄×C₁₃	—	4	32	no	—
139	C₂×C₄×C₁₃	C₂×D₈	1	8	yes	—
140	C₂×C₄×C₁₃	C₂×D₈	1	16	yes	complemented
141	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
142	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
143	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
145	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
146	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
147	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
148	C₈×C₁₃	—	2	8	no	—
149	C₂²×#41	—	2	2	no	—
150	C₂²×D₈	C₂²×C₁₃	1	4	yes	—
151	C₂³×C₈	C₂²×C₁₃	1	2	yes	—
152	#532	—	2	8	no	—
153	#532	C₂²×C₁₃	1	16	yes	complemented
154	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
155	C₂×#127	C₂²×C₁₃	1	2	yes	—
156	C₂×#124	—	2	2	no	—
157	C₂×#121	—	2	2	no	—
158	C₂×#121	C₂²×C₁₃	1	4	yes	—
159	C₂×C₄×D₄	—	2	2	no	—
160	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
161	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
162	#474	C₂²×C₁₃	1	32	yes	complemented
163	#466	C₂²×C₁₃	1	32	yes	complemented
164	#459	C₂²×C₁₃	1	32	yes	complemented
165	C₂×#107	C₂²×C₁₃	1	4	yes	—
166	C₂×C₄⋊C₈	C₂²×C₁₃	1	4	yes	—
167	C₂×C₄⋊C₈	C₂²×C₁₃	1	8	yes	complemented
168	C₂×#102	C₂²×C₁₃	1	8	yes	—
169	C₂²×C₁₃	—	2	2	no	—
170	C₂²×C₁₃	—	2	8	no	—
171	C₂²×C₁₃	—	2	2	no	—
172	C₂²×C₁₃	—	4	8	no	—
173	C₂²×C₁₃	—	4	8	no	—
174	C₂²×C₁₃	—	4	8	no	—
175	C₂²×C₁₃	—	8	16	no	—
176	C₂²×C₁₃	#537	1	2	yes	—
177	C₂²×C₁₃	C₂²×D₈	1	4	yes	—
178	C₂²×C₁₃	C₂²×D₈	1	2	yes	—
179	C₂²×C₁₃	#575	1	2	yes	—
180	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
181	C₄×C₁₃	—	2	2	no	—
182	C₄×C₁₃	—	2	4	no	—
183	C₄×C₁₃	—	4	8	no	—
184	C₄×C₁₃	#537	1	2	yes	—
185	C₄×C₁₃	C₂²×D₈	1	8	yes	—
186	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
187	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
188	C₂×#41	—	2	16	no	—
189	C₂×#41	—	4	16	no	—
190	C₂²×Q₈	—	2	2	no	—
191	C₂²×D₄	—	2	4	no	—
192	C₂²×D₄	—	2	2	no	—
193	C₂²×D₄	—	2	2	no	—
194	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
195	C₂³×C₄	—	2	4	no	—
196	C₂³×C₄	D₄×C₁₃	1	1	yes	characteristic
197	C₂³×C₄	D₄×C₁₃	1	1	yes	characteristic
198	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
199	C₂×D₈	—	4	8	no	—
200	C₂×D₈	C₂³×C₁₃	1	16	yes	—
201	C₂²×C₈	—	4	4	no	—
202	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
203	C₂²×C₈	C₂³×C₁₃	1	8	yes	—
204	C₄⋊Q₈	—	2	4	no	—
205	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
206	#127	—	2	4	no	—
207	#127	C₂³×C₁₃	1	8	yes	—
208	#124	—	2	16	no	—
209	#121	—	2	16	no	—
210	#121	—	2	8	no	—
211	#121	C₂³×C₁₃	1	16	yes	—
212	C₄×D₄	—	2	16	no	—
213	C₄×D₄	—	2	8	no	—
214	C₄×D₄	C₂³×C₁₃	1	16	yes	—
215	C₂×C₄⋊C₄	—	2	2	no	—
216	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
217	C₂×C₂²⋊C₄	—	2	4	no	—
218	C₂×C₂²⋊C₄	—	2	4	no	—
219	C₂×C₄²	D₄×C₁₃	1	2	yes	—
220	C₂×C₄²	D₄×C₁₃	1	4	yes	—
221	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
222	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
223	#107	C₂³×C₁₃	1	16	yes	—
224	C₄⋊C₈	C₂³×C₁₃	1	16	yes	—
225	#102	C₂³×C₁₃	1	32	yes	—
226	C₂×C₁₃	—	2	4	no	—
227	C₂×C₁₃	—	8	8	no	—
228	C₂×C₁₃	#3245	1	4	yes	direct product factor
229	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
230	C₂×C₁₃	C₂³×D₈	1	1	yes	characteristic
231	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
232	C₂⁴	—	2	4	no	—
233	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
234	#41	—	4	64	no	—
235	C₂×Q₈	—	2	8	no	—
236	C₂×Q₈	—	4	8	no	—
237	C₂×D₄	—	2	16	no	—
238	C₂×D₄	—	2	4	no	—
239	C₂×D₄	—	2	8	no	—
240	C₂×D₄	—	2	8	no	—
241	C₂×D₄	—	2	8	no	—
242	C₂×D₄	—	2	8	no	—
243	C₂×D₄	—	4	8	no	—
244	C₂×D₄	—	4	16	no	—
245	C₂×D₄	—	4	8	no	—
246	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
247	C₂²×C₄	—	2	2	no	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	16	no	—
251	C₂²×C₄	—	4	2	no	—
252	C₂²×C₄	—	4	16	no	—
253	C₂²×C₄	C₁₃×D₈	1	8	yes	complemented
254	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	4	yes	—
260	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
261	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
262	D₈	—	4	16	no	—
263	C₂×C₈	—	2	8	no	—
264	C₂×C₈	—	4	8	no	—
265	C₂×C₈	C₂⁴×C₁₃	1	8	yes	—
266	C₄⋊C₄	—	2	8	no	—
267	C₄⋊C₄	—	2	4	no	—
268	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
269	C₂²⋊C₄	—	2	16	no	—
270	C₂²⋊C₄	—	2	16	no	—
271	C₄²	C₂×D₄×C₁₃	1	8	yes	—
272	C₄²	C₂×D₄×C₁₃	1	4	yes	—
273	C₄²	C₂⁴×C₁₃	1	4	yes	—
274	C₁₃	C₂×#3245	1	1	yes	characteristic, direct product factor, Sylow
275	C₂³	—	2	2	no	—
276	C₂³	—	2	2	no	—
277	C₂³	—	2	8	no	—
278	C₂³	—	4	8	no	—
279	C₂³	—	4	8	no	—
280	C₂³	—	4	8	no	—
281	C₂³	C₂×C₁₃×D₈	1	4	yes	—
282	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
283	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
284	Q₈	—	4	16	no	—
285	D₄	—	2	8	no	—
286	D₄	—	2	8	no	—
287	D₄	—	4	16	no	—
288	D₄	—	4	32	no	—
289	D₄	—	4	8	no	—
290	D₄	—	4	16	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	8	no	—
297	C₂×C₄	—	4	4	no	—
298	C₂×C₄	—	4	8	no	—
299	C₂×C₄	—	4	32	no	—
300	C₂×C₄	C₂×C₁₃×D₈	1	8	yes	—
301	C₂×C₄	C₂×C₁₃×D₈	1	16	yes	complemented
302	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
303	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
304	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
305	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
306	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
307	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
308	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
309	C₈	—	2	8	no	—
310	C₂²	—	2	2	no	—
311	C₂²	—	2	2	no	—
312	C₂²	—	2	8	no	—
313	C₂²	—	4	8	no	—
314	C₂²	—	4	8	no	—
315	C₂²	—	4	8	no	—
316	C₂²	—	8	16	no	—
317	C₂²	C₁₃×#537	1	2	yes	—
318	C₂²	C₂²×C₁₃×D₈	1	4	yes	—
319	C₂²	C₂²×C₁₃×D₈	1	2	yes	—
320	C₂²	C₁₃×#575	1	2	yes	—
321	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
322	C₄	—	2	4	no	—
323	C₄	—	2	2	no	—
324	C₄	—	4	8	no	—
325	C₄	C₁₃×#537	1	2	yes	—
326	C₄	C₂²×C₁₃×D₈	1	8	yes	—
327	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
328	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
329	C₂	—	2	4	no	—
330	C₂	—	8	8	no	—
331	C₂	C₁₃×#3245	1	4	yes	direct product factor
332	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
333	C₂	C₂³×C₁₃×D₈	1	1	yes	characteristic
334	C₂	C₂×C₁₃×#575	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂²×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#532	C₂	semidirect
2. C₁₃×#3245	C₂	direct (N × H)
3. C₂×C₁₃×#474	C₂	semidirect
4. C₂×C₁₃×#466	C₂	semidirect
5. C₂×C₁₃×#459	C₂	semidirect
6. C₂²×C₁₃×C₄⋊C₈	C₂	semidirect
11. C₁₃×#532	C₂²	semidirect
20. C₁₃×#474	C₂²	semidirect
21. C₁₃×#466	C₂²	semidirect
22. C₁₃×#459	C₂²	semidirect
25. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
65. C₂×#3245	C₁₃	direct (N × H)
87. C₂²×C₄×C₁₃	D₈	semidirect
108. C₂×#532	C₂×C₁₃	semidirect
109. #3245	C₂×C₁₃	direct (N × H)
110. C₂×#474	C₂×C₁₃	semidirect
111. C₂×#466	C₂×C₁₃	semidirect
112. C₂×#459	C₂×C₁₃	semidirect
113. C₂²×C₄⋊C₈	C₂×C₁₃	semidirect
140. C₂×C₄×C₁₃	C₂×D₈	semidirect
153. #532	C₂²×C₁₃	semidirect
162. #474	C₂²×C₁₃	semidirect
163. #466	C₂²×C₁₃	semidirect
164. #459	C₂²×C₁₃	semidirect
167. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
228. C₂×C₁₃	#3245	direct (N × H)
253. C₂²×C₄	C₁₃×D₈	semidirect
274. C₁₃	C₂×#3245	direct (N × H)
301. C₂×C₄	C₂×C₁₃×D₈	semidirect
331. C₂	C₁₃×#3245	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×#532	2
C₁₃×#3245	2
C₂×C₁₃×#474	2
C₂×C₁₃×#466	2
C₂×C₁₃×#459	2
C₂²×C₁₃×C₄⋊C₈	2
C₂×#3245	13

Subgroups — C2×C13×#3245 #15747233

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3245 #15747233