Subgroups — C₂×C₁₃×#2537 #15721261

Order 3328.

4782 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₃×#121	C₂	1	4	yes	maximal, complemented
2	C₂²×C₄×D₄×C₁₃	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2537	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₃×#394	C₂	1	4	yes	maximal, complemented
5	C₂×C₁₃×#384	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#380	C₂	1	4	yes	maximal, complemented
7	C₂³×D₄×C₁₃	C₂²	1	4	yes	—
8	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
9	C₂⁴×C₄×C₁₃	C₂²	1	4	yes	—
10	C₂×C₁₃×#121	—	2	32	no	—
11	C₂×C₁₃×#121	C₂²	1	32	yes	complemented
12	C₂×C₄×D₄×C₁₃	—	2	16	no	—
13	C₂×C₄×D₄×C₁₃	C₂²	1	16	yes	complemented
14	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
15	C₂²×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
16	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
17	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	8	yes	—
18	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
19	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
20	C₁₃×#394	C₂²	1	32	yes	complemented
21	C₁₃×#384	C₂²	1	8	yes	complemented
22	C₁₃×#380	C₂²	1	32	yes	complemented
23	C₂×C₁₃×#95	C₂²	1	4	yes	—
24	C₂⁵×C₁₃	C₂³	1	4	yes	—
25	C₂²×D₄×C₁₃	—	2	32	no	—
26	C₂²×D₄×C₁₃	—	2	8	no	—
27	C₂²×D₄×C₁₃	—	2	8	no	—
28	C₂²×D₄×C₁₃	—	4	8	no	—
29	C₂²×D₄×C₁₃	D₄	1	16	yes	complemented
30	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
31	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
32	C₂³×C₄×C₁₃	—	2	16	no	—
33	C₂³×C₄×C₁₃	—	2	16	no	—
34	C₂³×C₄×C₁₃	—	2	16	no	—
35	C₂³×C₄×C₁₃	C₂³	1	16	yes	—
36	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
37	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
38	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
39	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
40	C₁₃×#121	—	2	128	no	—
41	C₄×D₄×C₁₃	—	2	64	no	—
42	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
43	C₂×C₁₃×C₄⋊C₄	—	2	16	no	—
44	C₂×C₁₃×C₄⋊C₄	—	4	4	no	—
45	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
46	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
47	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
48	C₂×C₁₃×C₂²⋊C₄	—	2	32	no	—
49	C₂×C₁₃×C₂²⋊C₄	—	2	16	no	—
50	C₂×C₁₃×C₂²⋊C₄	C₂³	1	32	yes	—
51	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
52	C₂×C₄²×C₁₃	D₄	1	8	yes	complemented
53	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
54	C₁₃×#95	C₂³	1	16	yes	—
55	C₂×#2537	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
56	C₂⁴×C₁₃	—	2	8	no	—
57	C₂⁴×C₁₃	—	2	8	no	—
58	C₂⁴×C₁₃	—	2	8	no	—
59	C₂⁴×C₁₃	—	2	8	no	—
60	C₂⁴×C₁₃	—	2	8	no	—
61	C₂⁴×C₁₃	—	2	8	no	—
62	C₂⁴×C₁₃	C₂×D₄	1	16	yes	—
63	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
64	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
65	C₂×D₄×C₁₃	—	2	64	no	—
66	C₂×D₄×C₁₃	—	2	64	no	—
67	C₂×D₄×C₁₃	—	2	16	no	—
68	C₂×D₄×C₁₃	—	2	16	no	—
69	C₂×D₄×C₁₃	—	4	16	no	—
70	C₂×D₄×C₁₃	—	4	64	no	—
71	C₂×D₄×C₁₃	C₂×D₄	1	32	yes	complemented
72	C₂²×C₄×C₁₃	—	2	2	no	—
73	C₂²×C₄×C₁₃	—	2	2	no	—
74	C₂²×C₄×C₁₃	—	2	8	no	—
75	C₂²×C₄×C₁₃	—	2	8	no	—
76	C₂²×C₄×C₁₃	—	2	16	no	—
77	C₂²×C₄×C₁₃	—	2	8	no	—
78	C₂²×C₄×C₁₃	—	2	8	no	—
79	C₂²×C₄×C₁₃	—	2	32	no	—
80	C₂²×C₄×C₁₃	—	2	32	no	—
81	C₂²×C₄×C₁₃	—	2	32	no	—
82	C₂²×C₄×C₁₃	—	4	64	no	—
83	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
84	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
85	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
86	C₂²×C₄×C₁₃	#41	1	8	yes	—
87	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
88	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
89	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
90	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
91	C₁₃×C₄⋊C₄	—	2	16	no	—
92	C₁₃×C₄⋊C₄	—	2	32	no	—
93	C₁₃×C₄⋊C₄	—	4	8	no	—
94	C₁₃×C₂²⋊C₄	—	2	64	no	—
95	C₁₃×C₂²⋊C₄	—	2	32	no	—
96	C₄²×C₁₃	C₂×D₄	1	16	yes	complemented
97	C₂²×#121	C₂×C₁₃	1	4	yes	complemented
98	C₂²×C₄×D₄	C₂×C₁₃	1	2	yes	complemented
99	#2537	C₂×C₁₃	1	16	yes	direct product factor
100	C₂×#394	C₂×C₁₃	1	4	yes	complemented
101	C₂×#384	C₂×C₁₃	1	1	yes	characteristic, complemented
102	C₂×#380	C₂×C₁₃	1	4	yes	complemented
103	C₂³×C₁₃	—	2	32	no	—
104	C₂³×C₁₃	—	2	32	no	—
105	C₂³×C₁₃	—	2	32	no	—
106	C₂³×C₁₃	—	2	8	no	—
107	C₂³×C₁₃	—	2	8	no	—
108	C₂³×C₁₃	—	2	8	no	—
109	C₂³×C₁₃	—	2	8	no	—
110	C₂³×C₁₃	—	2	8	no	—
111	C₂³×C₁₃	—	2	8	no	—
112	C₂³×C₁₃	—	4	16	no	—
113	C₂³×C₁₃	—	4	16	no	—
114	C₂³×C₁₃	—	4	16	no	—
115	C₂³×C₁₃	—	4	16	no	—
116	C₂³×C₁₃	C₂²×D₄	1	16	yes	—
117	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
118	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
119	C₂³×C₁₃	C₂×#41	1	4	yes	—
120	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
121	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
122	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
123	D₄×C₁₃	—	2	64	no	—
124	D₄×C₁₃	—	4	64	no	—
125	C₂×C₄×C₁₃	—	2	8	no	—
126	C₂×C₄×C₁₃	—	2	2	no	—
127	C₂×C₄×C₁₃	—	2	2	no	—
128	C₂×C₄×C₁₃	—	2	8	no	—
129	C₂×C₄×C₁₃	—	2	8	no	—
130	C₂×C₄×C₁₃	—	2	16	no	—
131	C₂×C₄×C₁₃	—	2	8	no	—
132	C₂×C₄×C₁₃	—	2	8	no	—
133	C₂×C₄×C₁₃	—	4	16	no	—
134	C₂×C₄×C₁₃	—	4	16	no	—
135	C₂×C₄×C₁₃	—	4	64	no	—
136	C₂×C₄×C₁₃	#121	1	32	yes	complemented
137	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
138	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
139	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
140	C₂×C₄×C₁₃	C₂×#41	1	8	yes	—
141	C₂³×D₄	C₂²×C₁₃	1	4	yes	—
142	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
143	C₂⁴×C₄	C₂²×C₁₃	1	4	yes	—
144	C₂×#121	—	2	32	no	—
145	C₂×#121	C₂²×C₁₃	1	32	yes	complemented
146	C₂×C₄×D₄	—	2	16	no	—
147	C₂×C₄×D₄	C₂²×C₁₃	1	16	yes	complemented
148	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
149	C₂²×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
150	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
151	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
152	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	8	yes	—
153	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
154	#394	C₂²×C₁₃	1	32	yes	complemented
155	#384	C₂²×C₁₃	1	8	yes	complemented
156	#380	C₂²×C₁₃	1	32	yes	complemented
157	C₂×#95	C₂²×C₁₃	1	4	yes	—
158	C₂²×C₁₃	—	2	16	no	—
159	C₂²×C₁₃	—	2	16	no	—
160	C₂²×C₁₃	—	2	16	no	—
161	C₂²×C₁₃	—	4	8	no	—
162	C₂²×C₁₃	—	4	8	no	—
163	C₂²×C₁₃	—	4	8	no	—
164	C₂²×C₁₃	—	4	8	no	—
165	C₂²×C₁₃	—	4	64	no	—
166	C₂²×C₁₃	C₂×#121	1	8	yes	—
167	C₂²×C₁₃	#537	1	4	yes	—
168	C₂²×C₁₃	D₄²	1	4	yes	—
169	C₂²×C₁₃	#547	1	8	yes	—
170	C₂²×C₁₃	#555	1	4	yes	—
171	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
172	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
173	C₂²×C₁₃	C₂²×#41	1	2	yes	—
174	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
175	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
176	C₄×C₁₃	—	2	4	no	—
177	C₄×C₁₃	—	4	8	no	—
178	C₄×C₁₃	—	4	8	no	—
179	C₄×C₁₃	C₂×#121	1	16	yes	complemented
180	C₂⁵	C₂³×C₁₃	1	4	yes	—
181	C₂²×D₄	—	2	32	no	—
182	C₂²×D₄	—	2	8	no	—
183	C₂²×D₄	—	2	8	no	—
184	C₂²×D₄	—	4	8	no	—
185	C₂²×D₄	D₄×C₁₃	1	16	yes	complemented
186	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
187	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
188	C₂³×C₄	—	2	16	no	—
189	C₂³×C₄	—	2	16	no	—
190	C₂³×C₄	—	2	16	no	—
191	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
192	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
193	C₂³×C₄	C₂³×C₁₃	1	16	yes	—
194	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
195	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
196	#121	—	2	128	no	—
197	C₄×D₄	—	2	64	no	—
198	C₂×C₄⋊C₄	—	2	8	no	—
199	C₂×C₄⋊C₄	—	2	16	no	—
200	C₂×C₄⋊C₄	—	4	4	no	—
201	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
202	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
203	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
204	C₂×C₂²⋊C₄	—	2	32	no	—
205	C₂×C₂²⋊C₄	—	2	16	no	—
206	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
207	C₂×C₂²⋊C₄	C₂³×C₁₃	1	32	yes	—
208	C₂×C₄²	D₄×C₁₃	1	8	yes	complemented
209	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
210	#95	C₂³×C₁₃	1	16	yes	—
211	C₂×C₁₃	—	4	16	no	—
212	C₂×C₁₃	#2537	1	8	yes	direct product factor
213	C₂×C₁₃	C₂²×#121	1	2	yes	—
214	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
215	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
216	C₂×C₁₃	C₂×#547	1	2	yes	—
217	C₂×C₁₃	C₂×#555	1	1	yes	characteristic
218	C₂⁴	—	2	8	no	—
219	C₂⁴	—	2	8	no	—
220	C₂⁴	—	2	8	no	—
221	C₂⁴	—	2	8	no	—
222	C₂⁴	—	2	8	no	—
223	C₂⁴	—	2	8	no	—
224	C₂⁴	C₂×D₄×C₁₃	1	16	yes	—
225	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
226	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
227	C₂×D₄	—	2	64	no	—
228	C₂×D₄	—	2	64	no	—
229	C₂×D₄	—	2	16	no	—
230	C₂×D₄	—	2	16	no	—
231	C₂×D₄	—	4	16	no	—
232	C₂×D₄	—	4	64	no	—
233	C₂×D₄	C₂×D₄×C₁₃	1	32	yes	complemented
234	C₂²×C₄	—	2	2	no	—
235	C₂²×C₄	—	2	2	no	—
236	C₂²×C₄	—	2	8	no	—
237	C₂²×C₄	—	2	8	no	—
238	C₂²×C₄	—	2	16	no	—
239	C₂²×C₄	—	2	8	no	—
240	C₂²×C₄	—	2	8	no	—
241	C₂²×C₄	—	2	32	no	—
242	C₂²×C₄	—	2	32	no	—
243	C₂²×C₄	—	2	32	no	—
244	C₂²×C₄	—	4	64	no	—
245	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
246	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
247	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
248	C₂²×C₄	C₁₃×#41	1	8	yes	—
249	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
250	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
251	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
252	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
253	C₄⋊C₄	—	2	16	no	—
254	C₄⋊C₄	—	2	32	no	—
255	C₄⋊C₄	—	4	8	no	—
256	C₂²⋊C₄	—	2	64	no	—
257	C₂²⋊C₄	—	2	32	no	—
258	C₄²	C₂×D₄×C₁₃	1	16	yes	complemented
259	C₁₃	C₂×#2537	1	1	yes	characteristic, direct product factor, Sylow
260	C₂³	—	2	32	no	—
261	C₂³	—	2	32	no	—
262	C₂³	—	2	32	no	—
263	C₂³	—	2	8	no	—
264	C₂³	—	2	8	no	—
265	C₂³	—	2	8	no	—
266	C₂³	—	2	8	no	—
267	C₂³	—	2	8	no	—
268	C₂³	—	2	8	no	—
269	C₂³	—	4	16	no	—
270	C₂³	—	4	16	no	—
271	C₂³	—	4	16	no	—
272	C₂³	—	4	16	no	—
273	C₂³	C₂²×D₄×C₁₃	1	16	yes	—
274	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
275	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
276	C₂³	C₂×C₁₃×#41	1	4	yes	—
277	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
278	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
279	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
280	D₄	—	2	64	no	—
281	D₄	—	4	64	no	—
282	C₂×C₄	—	2	8	no	—
283	C₂×C₄	—	2	2	no	—
284	C₂×C₄	—	2	2	no	—
285	C₂×C₄	—	2	8	no	—
286	C₂×C₄	—	2	8	no	—
287	C₂×C₄	—	2	16	no	—
288	C₂×C₄	—	2	8	no	—
289	C₂×C₄	—	2	8	no	—
290	C₂×C₄	—	4	16	no	—
291	C₂×C₄	—	4	16	no	—
292	C₂×C₄	—	4	64	no	—
293	C₂×C₄	C₁₃×#121	1	32	yes	complemented
294	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
295	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
296	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
297	C₂×C₄	C₂×C₁₃×#41	1	8	yes	—
298	C₂²	—	2	16	no	—
299	C₂²	—	2	16	no	—
300	C₂²	—	2	16	no	—
301	C₂²	—	4	64	no	—
302	C₂²	—	4	8	no	—
303	C₂²	—	4	8	no	—
304	C₂²	—	4	8	no	—
305	C₂²	—	4	8	no	—
306	C₂²	C₂×C₁₃×#121	1	8	yes	—
307	C₂²	C₁₃×#537	1	4	yes	—
308	C₂²	D₄²×C₁₃	1	4	yes	—
309	C₂²	C₁₃×#547	1	8	yes	—
310	C₂²	C₁₃×#555	1	4	yes	—
311	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
312	C₂²	C₂³×D₄×C₁₃	1	2	yes	—
313	C₂²	C₂²×C₁₃×#41	1	2	yes	—
314	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
315	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
316	C₄	—	2	4	no	—
317	C₄	—	4	8	no	—
318	C₄	—	4	8	no	—
319	C₄	C₂×C₁₃×#121	1	16	yes	complemented
320	C₂	—	4	16	no	—
321	C₂	C₁₃×#2537	1	8	yes	direct product factor
322	C₂	C₂²×C₁₃×#121	1	2	yes	—
323	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
324	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
325	C₂	C₂×C₁₃×#547	1	2	yes	—
326	C₂	C₂×C₁₃×#555	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₃×#121	C₂	semidirect
2. C₂²×C₄×D₄×C₁₃	C₂	semidirect
3. C₁₃×#2537	C₂	direct (N × H)
4. C₂×C₁₃×#394	C₂	semidirect
5. C₂×C₁₃×#384	C₂	semidirect
6. C₂×C₁₃×#380	C₂	semidirect
11. C₂×C₁₃×#121	C₂²	semidirect
13. C₂×C₄×D₄×C₁₃	C₂²	semidirect
20. C₁₃×#394	C₂²	semidirect
21. C₁₃×#384	C₂²	semidirect
22. C₁₃×#380	C₂²	semidirect
29. C₂²×D₄×C₁₃	D₄	semidirect
52. C₂×C₄²×C₁₃	D₄	semidirect
55. C₂×#2537	C₁₃	direct (N × H)
71. C₂×D₄×C₁₃	C₂×D₄	semidirect
96. C₄²×C₁₃	C₂×D₄	semidirect
97. C₂²×#121	C₂×C₁₃	semidirect
98. C₂²×C₄×D₄	C₂×C₁₃	semidirect
99. #2537	C₂×C₁₃	direct (N × H)
100. C₂×#394	C₂×C₁₃	semidirect
101. C₂×#384	C₂×C₁₃	semidirect
102. C₂×#380	C₂×C₁₃	semidirect
136. C₂×C₄×C₁₃	#121	semidirect
145. C₂×#121	C₂²×C₁₃	semidirect
147. C₂×C₄×D₄	C₂²×C₁₃	semidirect
154. #394	C₂²×C₁₃	semidirect
155. #384	C₂²×C₁₃	semidirect
156. #380	C₂²×C₁₃	semidirect
179. C₄×C₁₃	C₂×#121	semidirect
185. C₂²×D₄	D₄×C₁₃	semidirect
208. C₂×C₄²	D₄×C₁₃	semidirect
212. C₂×C₁₃	#2537	direct (N × H)
233. C₂×D₄	C₂×D₄×C₁₃	semidirect
258. C₄²	C₂×D₄×C₁₃	semidirect
259. C₁₃	C₂×#2537	direct (N × H)
293. C₂×C₄	C₁₃×#121	semidirect
319. C₄	C₂×C₁₃×#121	semidirect
321. C₂	C₁₃×#2537	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂²×C₁₃×#121	2
C₂²×C₄×D₄×C₁₃	2
C₁₃×#2537	2
C₂×C₁₃×#394	2
C₂×C₁₃×#384	2
C₂×C₁₃×#380	2
C₂×#2537	13

Subgroups — C2×C13×#2537 #15721261

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#2537 #15721261