Subgroups — C₂²×C₁₃×#390 #15720358

Order 3328.

9534 conjugacy classes of subgroups.

The subgroup lattice has 300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂³×C₁₃×C₂²⋊C₄	C₂	1	4	yes	maximal, complemented
4	C₂³×C₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#390	C₂	1	24	yes	maximal, direct product factor
6	C₂⁶×C₁₃	C₂²	1	2	yes	—
7	C₂³×D₄×C₁₃	—	2	8	no	—
8	C₂³×D₄×C₁₃	—	2	8	no	—
9	C₂³×D₄×C₁₃	C₄	1	16	yes	complemented
10	C₂³×D₄×C₁₃	C₂²	1	12	yes	—
11	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	—
12	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	—
13	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
14	C₂²×C₁₃×C₄⋊C₄	—	2	8	no	—
15	C₂²×C₁₃×C₄⋊C₄	C₂²	1	12	yes	complemented
16	C₂²×C₁₃×C₂²⋊C₄	—	2	32	no	—
17	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	48	yes	complemented
18	C₂²×C₄²×C₁₃	—	2	8	no	—
19	C₂²×C₄²×C₁₃	C₂²	1	12	yes	complemented
20	C₁₃×#390	C₂²	1	64	yes	direct product factor
21	C₂⁵×C₁₃	—	2	16	no	—
22	C₂⁵×C₁₃	—	2	8	no	—
23	C₂⁵×C₁₃	—	2	8	no	—
24	C₂⁵×C₁₃	—	2	16	no	—
25	C₂⁵×C₁₃	C₂×C₄	1	16	yes	—
26	C₂⁵×C₁₃	C₂³	1	12	yes	—
27	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
28	C₂²×D₄×C₁₃	—	2	128	no	—
29	C₂²×D₄×C₁₃	—	2	48	no	—
30	C₂²×D₄×C₁₃	—	2	48	no	—
31	C₂²×D₄×C₁₃	C₂×C₄	1	96	yes	complemented
32	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
33	C₂³×C₄×C₁₃	—	2	8	no	—
34	C₂³×C₄×C₁₃	—	2	8	no	—
35	C₂³×C₄×C₁₃	—	2	16	no	—
36	C₂³×C₄×C₁₃	—	2	8	no	—
37	C₂³×C₄×C₁₃	C₂×C₄	1	8	yes	—
38	C₂³×C₄×C₁₃	D₄	1	8	yes	—
39	C₂³×C₄×C₁₃	D₄	1	8	yes	—
40	C₂³×C₄×C₁₃	D₄	1	16	yes	complemented
41	C₂³×C₄×C₁₃	C₂³	1	12	yes	—
42	C₂³×C₄×C₁₃	C₂³	1	12	yes	—
43	C₂³×C₄×C₁₃	C₂³	1	6	yes	—
44	C₂×C₁₃×C₄⋊C₄	—	2	48	no	—
45	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
46	C₂×C₁₃×C₂²⋊C₄	—	2	192	no	—
47	C₂×C₁₃×C₂²⋊C₄	C₂³	1	64	yes	complemented
48	C₂×C₄²×C₁₃	—	2	48	no	—
49	C₂×C₄²×C₁₃	C₂³	1	16	yes	complemented
50	C₂²×#390	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
51	C₂⁴×C₁₃	—	2	64	no	—
52	C₂⁴×C₁₃	—	2	128	no	—
53	C₂⁴×C₁₃	—	2	48	no	—
54	C₂⁴×C₁₃	—	2	24	no	—
55	C₂⁴×C₁₃	—	2	24	no	—
56	C₂⁴×C₁₃	—	2	48	no	—
57	C₂⁴×C₁₃	—	4	64	no	—
58	C₂⁴×C₁₃	—	4	32	no	—
59	C₂⁴×C₁₃	—	4	32	no	—
60	C₂⁴×C₁₃	C₂²×C₄	1	48	yes	—
61	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
62	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
63	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
64	C₂⁴×C₁₃	C₂×D₄	1	8	yes	—
65	C₂⁴×C₁₃	#41	1	8	yes	—
66	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
67	C₂⁴×C₁₃	C₂⁴	1	3	yes	—
68	C₂×D₄×C₁₃	—	2	384	no	—
69	C₂×D₄×C₁₃	—	2	32	no	—
70	C₂×D₄×C₁₃	—	2	32	no	—
71	C₂×D₄×C₁₃	C₂²×C₄	1	64	yes	complemented
72	C₂²×C₄×C₁₃	—	2	64	no	—
73	C₂²×C₄×C₁₃	—	2	24	no	—
74	C₂²×C₄×C₁₃	—	2	24	no	—
75	C₂²×C₄×C₁₃	—	2	48	no	—
76	C₂²×C₄×C₁₃	—	2	24	no	—
77	C₂²×C₄×C₁₃	—	4	32	no	—
78	C₂²×C₄×C₁₃	C₂²⋊C₄	1	64	yes	complemented
79	C₂²×C₄×C₁₃	C₂²×C₄	1	24	yes	—
80	C₂²×C₄×C₁₃	C₂×D₄	1	24	yes	—
81	C₂²×C₄×C₁₃	C₂×D₄	1	24	yes	—
82	C₂²×C₄×C₁₃	C₂×D₄	1	48	yes	complemented
83	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
84	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
85	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
86	C₁₃×C₄⋊C₄	—	2	32	no	—
87	C₁₃×C₂²⋊C₄	—	2	128	no	—
88	C₄²×C₁₃	—	2	32	no	—
89	C₂⁴×D₄	C₂×C₁₃	1	1	yes	characteristic
90	C₂³×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
91	C₂³×C₂²⋊C₄	C₂×C₁₃	1	4	yes	complemented
92	C₂³×C₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
93	C₂×#390	C₂×C₁₃	1	24	yes	direct product factor
94	C₂³×C₁₃	—	2	96	no	—
95	C₂³×C₁₃	—	2	192	no	—
96	C₂³×C₁₃	—	2	16	no	—
97	C₂³×C₁₃	—	2	8	no	—
98	C₂³×C₁₃	—	2	8	no	—
99	C₂³×C₁₃	—	2	16	no	—
100	C₂³×C₁₃	—	4	96	no	—
101	C₂³×C₁₃	—	4	48	no	—
102	C₂³×C₁₃	—	4	48	no	—
103	C₂³×C₁₃	—	4	256	no	—
104	C₂³×C₁₃	C₂×C₂²⋊C₄	1	16	yes	—
105	C₂³×C₁₃	C₄×D₄	1	32	yes	—
106	C₂³×C₁₃	#121	1	32	yes	—
107	C₂³×C₁₃	#124	1	16	yes	—
108	C₂³×C₁₃	#127	1	16	yes	—
109	C₂³×C₁₃	C₂³×C₄	1	16	yes	—
110	C₂³×C₁₃	C₂³×C₄	1	6	yes	—
111	C₂³×C₁₃	C₂²×D₄	1	6	yes	—
112	C₂³×C₁₃	C₂²×D₄	1	6	yes	—
113	C₂³×C₁₃	C₂²×D₄	1	12	yes	—
114	C₂³×C₁₃	C₂×#41	1	12	yes	—
115	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
116	D₄×C₁₃	—	2	128	no	—
117	C₂×C₄×C₁₃	—	2	96	no	—
118	C₂×C₄×C₁₃	—	2	8	no	—
119	C₂×C₄×C₁₃	—	2	8	no	—
120	C₂×C₄×C₁₃	—	2	16	no	—
121	C₂×C₄×C₁₃	—	2	8	no	—
122	C₂×C₄×C₁₃	—	4	48	no	—
123	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	96	yes	complemented
124	C₂×C₄×C₁₃	C₂³×C₄	1	8	yes	—
125	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
126	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
127	C₂×C₄×C₁₃	C₂²×D₄	1	16	yes	complemented
128	C₂⁶	C₂²×C₁₃	1	2	yes	—
129	C₂³×D₄	—	2	8	no	—
130	C₂³×D₄	—	2	8	no	—
131	C₂³×D₄	C₄×C₁₃	1	16	yes	complemented
132	C₂³×D₄	C₂²×C₁₃	1	12	yes	—
133	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	—
134	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	—
135	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
136	C₂²×C₄⋊C₄	—	2	8	no	—
137	C₂²×C₄⋊C₄	C₂²×C₁₃	1	12	yes	complemented
138	C₂²×C₂²⋊C₄	—	2	32	no	—
139	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	48	yes	complemented
140	C₂²×C₄²	—	2	8	no	—
141	C₂²×C₄²	C₂²×C₁₃	1	12	yes	complemented
142	#390	C₂²×C₁₃	1	64	yes	direct product factor
143	C₂²×C₁₃	—	2	16	no	—
144	C₂²×C₁₃	—	2	32	no	—
145	C₂²×C₁₃	—	4	16	no	—
146	C₂²×C₁₃	—	4	8	no	—
147	C₂²×C₁₃	—	4	8	no	—
148	C₂²×C₁₃	—	4	192	no	—
149	C₂²×C₁₃	#390	1	64	yes	direct product factor
150	C₂²×C₁₃	C₂²×C₂²⋊C₄	1	12	yes	—
151	C₂²×C₁₃	C₂×C₄×D₄	1	24	yes	—
152	C₂²×C₁₃	C₂×#121	1	24	yes	—
153	C₂²×C₁₃	C₂×#124	1	12	yes	—
154	C₂²×C₁₃	C₂×#127	1	12	yes	—
155	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
156	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
157	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
158	C₂²×C₁₃	C₂³×D₄	1	2	yes	—
159	C₂²×C₁₃	C₂²×#41	1	2	yes	—
160	C₄×C₁₃	—	2	16	no	—
161	C₄×C₁₃	—	4	8	no	—
162	C₄×C₁₃	C₂²×C₂²⋊C₄	1	16	yes	complemented
163	C₂⁵	—	2	16	no	—
164	C₂⁵	—	2	8	no	—
165	C₂⁵	—	2	8	no	—
166	C₂⁵	—	2	16	no	—
167	C₂⁵	C₂×C₄×C₁₃	1	16	yes	—
168	C₂⁵	C₂³×C₁₃	1	12	yes	—
169	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
170	C₂²×D₄	—	2	128	no	—
171	C₂²×D₄	—	2	48	no	—
172	C₂²×D₄	—	2	48	no	—
173	C₂²×D₄	C₂×C₄×C₁₃	1	96	yes	complemented
174	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
175	C₂³×C₄	—	2	8	no	—
176	C₂³×C₄	—	2	8	no	—
177	C₂³×C₄	—	2	16	no	—
178	C₂³×C₄	—	2	8	no	—
179	C₂³×C₄	C₂×C₄×C₁₃	1	8	yes	—
180	C₂³×C₄	D₄×C₁₃	1	8	yes	—
181	C₂³×C₄	D₄×C₁₃	1	8	yes	—
182	C₂³×C₄	D₄×C₁₃	1	16	yes	complemented
183	C₂³×C₄	C₂³×C₁₃	1	12	yes	—
184	C₂³×C₄	C₂³×C₁₃	1	12	yes	—
185	C₂³×C₄	C₂³×C₁₃	1	6	yes	—
186	C₂×C₄⋊C₄	—	2	48	no	—
187	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
188	C₂×C₂²⋊C₄	—	2	192	no	—
189	C₂×C₂²⋊C₄	C₂³×C₁₃	1	64	yes	complemented
190	C₂×C₄²	—	2	48	no	—
191	C₂×C₄²	C₂³×C₁₃	1	16	yes	complemented
192	C₂×C₁₃	—	4	16	no	—
193	C₂×C₁₃	C₂×#390	1	24	yes	direct product factor
194	C₂×C₁₃	C₂³×C₂²⋊C₄	1	1	yes	characteristic
195	C₂×C₁₃	C₂²×C₄×D₄	1	2	yes	—
196	C₂×C₁₃	C₂²×#121	1	2	yes	—
197	C₂×C₁₃	C₂²×#124	1	1	yes	characteristic
198	C₂×C₁₃	C₂²×#127	1	1	yes	characteristic
199	C₂⁴	—	2	64	no	—
200	C₂⁴	—	2	128	no	—
201	C₂⁴	—	2	48	no	—
202	C₂⁴	—	2	24	no	—
203	C₂⁴	—	2	24	no	—
204	C₂⁴	—	2	48	no	—
205	C₂⁴	—	4	64	no	—
206	C₂⁴	—	4	32	no	—
207	C₂⁴	—	4	32	no	—
208	C₂⁴	C₂²×C₄×C₁₃	1	48	yes	—
209	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
210	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
211	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
212	C₂⁴	C₂×D₄×C₁₃	1	8	yes	—
213	C₂⁴	C₁₃×#41	1	8	yes	—
214	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
215	C₂⁴	C₂⁴×C₁₃	1	3	yes	—
216	C₂×D₄	—	2	384	no	—
217	C₂×D₄	—	2	32	no	—
218	C₂×D₄	—	2	32	no	—
219	C₂×D₄	C₂²×C₄×C₁₃	1	64	yes	complemented
220	C₂²×C₄	—	2	64	no	—
221	C₂²×C₄	—	2	24	no	—
222	C₂²×C₄	—	2	24	no	—
223	C₂²×C₄	—	2	48	no	—
224	C₂²×C₄	—	2	24	no	—
225	C₂²×C₄	—	4	32	no	—
226	C₂²×C₄	C₁₃×C₂²⋊C₄	1	64	yes	complemented
227	C₂²×C₄	C₂²×C₄×C₁₃	1	24	yes	—
228	C₂²×C₄	C₂×D₄×C₁₃	1	24	yes	—
229	C₂²×C₄	C₂×D₄×C₁₃	1	24	yes	—
230	C₂²×C₄	C₂×D₄×C₁₃	1	48	yes	complemented
231	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
232	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
233	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
234	C₄⋊C₄	—	2	32	no	—
235	C₂²⋊C₄	—	2	128	no	—
236	C₄²	—	2	32	no	—
237	C₁₃	C₂²×#390	1	1	yes	characteristic, direct product factor, Sylow
238	C₂³	—	2	96	no	—
239	C₂³	—	2	192	no	—
240	C₂³	—	2	16	no	—
241	C₂³	—	2	8	no	—
242	C₂³	—	2	8	no	—
243	C₂³	—	2	16	no	—
244	C₂³	—	4	256	no	—
245	C₂³	—	4	96	no	—
246	C₂³	—	4	48	no	—
247	C₂³	—	4	48	no	—
248	C₂³	C₂×C₁₃×C₂²⋊C₄	1	16	yes	—
249	C₂³	C₄×D₄×C₁₃	1	32	yes	—
250	C₂³	C₁₃×#121	1	32	yes	—
251	C₂³	C₁₃×#124	1	16	yes	—
252	C₂³	C₁₃×#127	1	16	yes	—
253	C₂³	C₂³×C₄×C₁₃	1	16	yes	—
254	C₂³	C₂³×C₄×C₁₃	1	6	yes	—
255	C₂³	C₂²×D₄×C₁₃	1	6	yes	—
256	C₂³	C₂²×D₄×C₁₃	1	6	yes	—
257	C₂³	C₂²×D₄×C₁₃	1	12	yes	—
258	C₂³	C₂×C₁₃×#41	1	12	yes	—
259	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
260	D₄	—	2	128	no	—
261	C₂×C₄	—	2	96	no	—
262	C₂×C₄	—	2	8	no	—
263	C₂×C₄	—	2	8	no	—
264	C₂×C₄	—	2	16	no	—
265	C₂×C₄	—	2	8	no	—
266	C₂×C₄	—	4	48	no	—
267	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	96	yes	complemented
268	C₂×C₄	C₂³×C₄×C₁₃	1	8	yes	—
269	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
270	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
271	C₂×C₄	C₂²×D₄×C₁₃	1	16	yes	complemented
272	C₂²	—	2	16	no	—
273	C₂²	—	2	32	no	—
274	C₂²	—	4	192	no	—
275	C₂²	—	4	16	no	—
276	C₂²	—	4	8	no	—
277	C₂²	—	4	8	no	—
278	C₂²	C₁₃×#390	1	64	yes	direct product factor
279	C₂²	C₂²×C₁₃×C₂²⋊C₄	1	12	yes	—
280	C₂²	C₂×C₄×D₄×C₁₃	1	24	yes	—
281	C₂²	C₂×C₁₃×#121	1	24	yes	—
282	C₂²	C₂×C₁₃×#124	1	12	yes	—
283	C₂²	C₂×C₁₃×#127	1	12	yes	—
284	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
285	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
286	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
287	C₂²	C₂³×D₄×C₁₃	1	2	yes	—
288	C₂²	C₂²×C₁₃×#41	1	2	yes	—
289	C₄	—	2	16	no	—
290	C₄	—	4	8	no	—
291	C₄	C₂²×C₁₃×C₂²⋊C₄	1	16	yes	complemented
292	C₂	—	4	16	no	—
293	C₂	C₂×C₁₃×#390	1	24	yes	direct product factor
294	C₂	C₂³×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
295	C₂	C₂²×C₄×D₄×C₁₃	1	2	yes	—
296	C₂	C₂²×C₁₃×#121	1	2	yes	—
297	C₂	C₂²×C₁₃×#124	1	1	yes	characteristic
298	C₂	C₂²×C₁₃×#127	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁵×C₁₃	C₂³
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂⁴×D₄×C₁₃	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁵×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂³×C₁₃×C₄⋊C₄	C₂	semidirect
3. C₂³×C₁₃×C₂²⋊C₄	C₂	semidirect
4. C₂³×C₄²×C₁₃	C₂	semidirect
5. C₂×C₁₃×#390	C₂	direct (N × H)
9. C₂³×D₄×C₁₃	C₄	semidirect
15. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
17. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
19. C₂²×C₄²×C₁₃	C₂²	semidirect
20. C₁₃×#390	C₂²	direct (N × H)
31. C₂²×D₄×C₁₃	C₂×C₄	semidirect
40. C₂³×C₄×C₁₃	D₄	semidirect
45. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
47. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
49. C₂×C₄²×C₁₃	C₂³	semidirect
50. C₂²×#390	C₁₃	direct (N × H)
71. C₂×D₄×C₁₃	C₂²×C₄	semidirect
78. C₂²×C₄×C₁₃	C₂²⋊C₄	semidirect
82. C₂²×C₄×C₁₃	C₂×D₄	semidirect
90. C₂³×C₄⋊C₄	C₂×C₁₃	semidirect
91. C₂³×C₂²⋊C₄	C₂×C₁₃	semidirect
92. C₂³×C₄²	C₂×C₁₃	semidirect
93. C₂×#390	C₂×C₁₃	direct (N × H)
123. C₂×C₄×C₁₃	C₂×C₂²⋊C₄	semidirect
127. C₂×C₄×C₁₃	C₂²×D₄	semidirect
131. C₂³×D₄	C₄×C₁₃	semidirect
137. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
139. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
141. C₂²×C₄²	C₂²×C₁₃	semidirect
142. #390	C₂²×C₁₃	direct (N × H)
149. C₂²×C₁₃	#390	direct (N × H)
162. C₄×C₁₃	C₂²×C₂²⋊C₄	semidirect
173. C₂²×D₄	C₂×C₄×C₁₃	semidirect
182. C₂³×C₄	D₄×C₁₃	semidirect
187. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
189. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
191. C₂×C₄²	C₂³×C₁₃	semidirect
193. C₂×C₁₃	C₂×#390	direct (N × H)
219. C₂×D₄	C₂²×C₄×C₁₃	semidirect
226. C₂²×C₄	C₁₃×C₂²⋊C₄	semidirect
230. C₂²×C₄	C₂×D₄×C₁₃	semidirect
237. C₁₃	C₂²×#390	direct (N × H)
267. C₂×C₄	C₂×C₁₃×C₂²⋊C₄	semidirect
271. C₂×C₄	C₂²×D₄×C₁₃	semidirect
278. C₂²	C₁₃×#390	direct (N × H)
291. C₄	C₂²×C₁₃×C₂²⋊C₄	semidirect
293. C₂	C₂×C₁₃×#390	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×D₄×C₁₃	2
C₂³×C₁₃×C₄⋊C₄	2
C₂³×C₁₃×C₂²⋊C₄	2
C₂³×C₄²×C₁₃	2
C₂×C₁₃×#390	2
C₂²×#390	13

Subgroups — C22×C13×#390 #15720358

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₁₃×#390 #15720358