Subgroups — C₁₃₁×#21359 #45707243

Order 33536.

1002 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#431×C₁₃₁	C₂	1	1	yes	maximal, characteristic
2	#2285×C₁₃₁	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₄⋊C₄×C₁₃₁	C₂	1	1	yes	maximal, characteristic
4	#1948×C₁₃₁	C₂	1	4	yes	maximal, complemented
5	#1853×C₁₃₁	C₂	1	4	yes	maximal
6	C₄×#106×C₁₃₁	C₂	1	4	yes	maximal, complemented
7	C₂×#117×C₁₃₁	—	2	1	no	—
8	C₂²×C₄⋊C₄×C₁₃₁	C₂²	1	2	yes	—
9	C₂²×C₄²×C₁₃₁	—	2	1	no	—
10	C₂²×C₄²×C₁₃₁	C₂²	1	1	yes	characteristic
11	#431×C₁₃₁	C₄	1	8	yes	complemented
12	C₂×#106×C₁₃₁	C₂²	1	8	yes	—
13	C₂×C₄⋊C₈×C₁₃₁	C₂²	1	2	yes	—
14	C₂×C₂²⋊C₈×C₁₃₁	C₂²	1	2	yes	—
15	C₂×C₄×C₈×C₁₃₁	C₂²	1	2	yes	—
16	#384×C₁₃₁	C₂²	1	2	yes	—
17	#382×C₁₃₁	—	2	1	no	—
18	#380×C₁₃₁	—	2	1	no	—
19	#380×C₁₃₁	C₂²	1	2	yes	—
20	C₄×C₄⋊C₄×C₁₃₁	—	2	1	no	—
21	C₄×C₄⋊C₄×C₁₃₁	—	2	1	no	—
22	C₄×C₄⋊C₄×C₁₃₁	—	2	1	no	—
23	C₄×C₄⋊C₄×C₁₃₁	C₂²	1	2	yes	—
24	C₄×C₄⋊C₄×C₁₃₁	C₂²	1	2	yes	—
25	C₄×C₄⋊C₄×C₁₃₁	C₂²	1	2	yes	—
26	C₂×#95×C₁₃₁	—	2	1	no	—
27	#340×C₁₃₁	C₂²	1	8	yes	—
28	C₂³×C₄×C₁₃₁	—	2	2	no	—
29	C₂³×C₄×C₁₃₁	D₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₃₁	D₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₃₁	C₂³	1	1	yes	characteristic
32	C₂²×C₈×C₁₃₁	C₂³	1	4	yes	—
33	#117×C₁₃₁	—	4	4	no	—
34	C₂×C₄⋊C₄×C₁₃₁	—	2	2	no	—
35	C₂×C₄⋊C₄×C₁₃₁	—	2	8	no	—
36	C₂×C₄⋊C₄×C₁₃₁	—	2	2	no	—
37	C₂×C₄⋊C₄×C₁₃₁	—	2	2	no	—
38	C₂×C₄⋊C₄×C₁₃₁	C₂³	1	4	yes	—
39	C₂×C₄⋊C₄×C₁₃₁	C₂³	1	4	yes	—
40	C₂×C₂²⋊C₄×C₁₃₁	—	2	2	no	—
41	C₂×C₄²×C₁₃₁	—	2	2	no	—
42	C₂×C₄²×C₁₃₁	—	2	2	no	—
43	C₂×C₄²×C₁₃₁	—	2	2	no	—
44	C₂×C₄²×C₁₃₁	—	4	4	no	—
45	C₂×C₄²×C₁₃₁	C₂×C₄	1	4	yes	—
46	C₂×C₄²×C₁₃₁	D₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₃₁	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₁₃₁	Q₈	1	4	yes	—
49	C₂×C₄²×C₁₃₁	C₂³	1	1	yes	characteristic
50	C₂×C₄²×C₁₃₁	C₂³	1	1	yes	characteristic
51	#106×C₁₃₁	—	2	16	no	—
52	C₄⋊C₈×C₁₃₁	C₂×C₄	1	8	yes	complemented
53	C₂²⋊C₈×C₁₃₁	C₂×C₄	1	8	yes	—
54	C₄×C₈×C₁₃₁	C₂×C₄	1	8	yes	complemented
55	#95×C₁₃₁	—	2	2	no	—
56	#95×C₁₃₁	—	2	2	no	—
57	#95×C₁₃₁	—	2	2	no	—
58	#95×C₁₃₁	—	2	2	no	—
59	C₂⁴×C₁₃₁	C₂×D₄	1	1	yes	characteristic
60	C₂²×C₄×C₁₃₁	—	2	4	no	—
61	C₂²×C₄×C₁₃₁	—	2	8	no	—
62	C₂²×C₄×C₁₃₁	—	2	4	no	—
63	C₂²×C₄×C₁₃₁	—	2	4	no	—
64	C₂²×C₄×C₁₃₁	—	4	2	no	—
65	C₂²×C₄×C₁₃₁	—	4	4	no	—
66	C₂²×C₄×C₁₃₁	—	4	4	no	—
67	C₂²×C₄×C₁₃₁	C₄⋊C₄	1	4	yes	—
68	C₂²×C₄×C₁₃₁	C₄⋊C₄	1	4	yes	—
69	C₂²×C₄×C₁₃₁	SD₁₆	1	4	yes	—
70	C₂²×C₄×C₁₃₁	SD₁₆	1	4	yes	—
71	C₂²×C₄×C₁₃₁	C₂²×C₄	1	2	yes	—
72	C₂²×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₃₁	C₂×Q₈	1	2	yes	—
78	C₂²×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
79	C₂×C₈×C₁₃₁	—	2	8	no	—
80	C₂×C₈×C₁₃₁	C₂²×C₄	1	8	yes	—
81	C₄⋊C₄×C₁₃₁	—	2	8	no	—
82	C₄⋊C₄×C₁₃₁	—	2	4	no	—
83	C₄⋊C₄×C₁₃₁	—	2	8	no	—
84	C₄⋊C₄×C₁₃₁	—	4	4	no	—
85	C₄⋊C₄×C₁₃₁	—	4	4	no	—
86	C₄⋊C₄×C₁₃₁	#41	1	8	yes	—
87	C₂²⋊C₄×C₁₃₁	—	4	4	no	—
88	C₄²×C₁₃₁	—	4	4	no	—
89	C₄²×C₁₃₁	—	4	4	no	—
90	C₄²×C₁₃₁	—	4	4	no	—
91	C₄²×C₁₃₁	C₄⋊C₄	1	4	yes	—
92	C₄²×C₁₃₁	C₄⋊C₄	1	4	yes	—
93	C₄²×C₁₃₁	C₂²×C₄	1	2	yes	—
94	C₄²×C₁₃₁	C₂²×C₄	1	2	yes	—
95	C₄²×C₁₃₁	C₂×Q₈	1	2	yes	—
96	C₄²×C₁₃₁	C₂×Q₈	1	2	yes	—
97	C₂³×C₁₃₁	—	2	2	no	—
98	C₂³×C₁₃₁	—	2	2	no	—
99	C₂³×C₁₃₁	C₂×C₄⋊C₄	1	2	yes	—
100	C₂³×C₁₃₁	C₂×SD₁₆	1	2	yes	—
101	C₂³×C₁₃₁	C₂×SD₁₆	1	2	yes	—
102	C₂³×C₁₃₁	C₂²×D₄	1	1	yes	characteristic
103	C₂×C₄×C₁₃₁	—	2	2	no	—
104	C₂×C₄×C₁₃₁	—	2	2	no	—
105	C₂×C₄×C₁₃₁	—	2	2	no	—
106	C₂×C₄×C₁₃₁	—	2	4	no	—
107	C₂×C₄×C₁₃₁	—	2	4	no	—
108	C₂×C₄×C₁₃₁	—	2	8	no	—
109	C₂×C₄×C₁₃₁	—	4	4	no	—
110	C₂×C₄×C₁₃₁	—	4	16	no	—
111	C₂×C₄×C₁₃₁	—	4	4	no	—
112	C₂×C₄×C₁₃₁	—	4	4	no	—
113	C₂×C₄×C₁₃₁	—	4	4	no	—
114	C₂×C₄×C₁₃₁	—	4	4	no	—
115	C₂×C₄×C₁₃₁	—	4	4	no	—
116	C₂×C₄×C₁₃₁	#106	1	16	yes	complemented
117	C₂×C₄×C₁₃₁	C₂×C₄⋊C₄	1	2	yes	—
118	C₂×C₄×C₁₃₁	C₂×C₄⋊C₄	1	2	yes	—
119	C₂×C₄×C₁₃₁	C₂×C₄⋊C₄	1	2	yes	—
120	C₂×C₄×C₁₃₁	C₂×C₄⋊C₄	1	2	yes	—
121	C₂×C₄×C₁₃₁	C₂×C₄⋊C₄	1	2	yes	—
122	C₂×C₄×C₁₃₁	C₂×SD₁₆	1	2	yes	—
123	C₂×C₄×C₁₃₁	C₂×SD₁₆	1	2	yes	—
124	C₂×C₄×C₁₃₁	C₂×SD₁₆	1	2	yes	—
125	C₂×C₄×C₁₃₁	C₂×SD₁₆	1	2	yes	—
126	C₂×C₄×C₁₃₁	C₂³×C₄	1	1	yes	characteristic
127	C₂×C₄×C₁₃₁	C₂²×Q₈	1	1	yes	characteristic
128	C₂×C₄×C₁₃₁	C₂×#41	1	4	yes	—
129	C₈×C₁₃₁	—	2	8	no	—
130	C₂²×C₁₃₁	—	2	4	no	—
131	C₂²×C₁₃₁	—	2	4	no	—
132	C₂²×C₁₃₁	—	2	2	no	—
133	C₂²×C₁₃₁	—	2	2	no	—
134	C₂²×C₁₃₁	C₂×#106	1	4	yes	—
135	C₂²×C₁₃₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
136	C₂²×C₁₃₁	#525	1	2	yes	—
137	C₂²×C₁₃₁	C₂²×SD₁₆	1	1	yes	characteristic
138	C₂²×C₁₃₁	C₂²×SD₁₆	1	1	yes	characteristic
139	C₂²×C₁₃₁	#575	1	2	yes	—
140	C₄×C₁₃₁	—	2	2	no	—
141	C₄×C₁₃₁	—	2	2	no	—
142	C₄×C₁₃₁	—	2	2	no	—
143	C₄×C₁₃₁	—	4	8	no	—
144	C₄×C₁₃₁	—	8	4	no	—
145	C₄×C₁₃₁	C₂×#106	1	4	yes	—
146	C₄×C₁₃₁	C₂×#106	1	4	yes	—
147	C₄×C₁₃₁	C₄×#41	1	2	yes	—
148	C₄×C₁₃₁	#533	1	2	yes	—
149	C₂×C₁₃₁	—	2	4	no	—
150	C₂×C₁₃₁	#2296	1	1	yes	characteristic
151	C₂×C₁₃₁	C₂²×#106	1	1	yes	characteristic
152	C₂×C₁₃₁	#2911	1	1	yes	characteristic
153	C₂×C₁₃₁	#3101	1	2	yes	—
154	C₂×C₁₃₁	#3103	1	2	yes	—
155	#21359	C₁₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
156	C₁₃₁	#21359	1	1	yes	characteristic, direct product factor, Sylow
157	C₂×#431	C₂×C₁₃₁	1	1	yes	characteristic
158	#2285	C₂×C₁₃₁	1	1	yes	characteristic
159	C₂×C₄×C₄⋊C₄	C₂×C₁₃₁	1	1	yes	characteristic
160	#1948	C₂×C₁₃₁	1	4	yes	complemented
161	#1853	C₂×C₁₃₁	1	4	yes	—
162	C₄×#106	C₂×C₁₃₁	1	4	yes	complemented
163	C₂×#117	—	2	1	no	—
164	C₂²×C₄⋊C₄	C₂²×C₁₃₁	1	2	yes	—
165	C₂²×C₄²	—	2	1	no	—
166	C₂²×C₄²	C₂²×C₁₃₁	1	1	yes	characteristic
167	#431	C₄×C₁₃₁	1	8	yes	complemented
168	C₂×#106	C₂²×C₁₃₁	1	8	yes	—
169	C₂×C₄⋊C₈	C₂²×C₁₃₁	1	2	yes	—
170	C₂×C₂²⋊C₈	C₂²×C₁₃₁	1	2	yes	—
171	C₂×C₄×C₈	C₂²×C₁₃₁	1	2	yes	—
172	#384	C₂²×C₁₃₁	1	2	yes	—
173	#382	—	2	1	no	—
174	#380	—	2	1	no	—
175	#380	C₂²×C₁₃₁	1	2	yes	—
176	C₄×C₄⋊C₄	—	2	1	no	—
177	C₄×C₄⋊C₄	—	2	1	no	—
178	C₄×C₄⋊C₄	—	2	1	no	—
179	C₄×C₄⋊C₄	C₂²×C₁₃₁	1	2	yes	—
180	C₄×C₄⋊C₄	C₂²×C₁₃₁	1	2	yes	—
181	C₄×C₄⋊C₄	C₂²×C₁₃₁	1	2	yes	—
182	C₂×#95	—	2	1	no	—
183	#340	C₂²×C₁₃₁	1	8	yes	—
184	C₂³×C₄	—	2	2	no	—
185	C₂³×C₄	D₄×C₁₃₁	1	1	yes	characteristic
186	C₂³×C₄	D₄×C₁₃₁	1	1	yes	characteristic
187	C₂³×C₄	C₂³×C₁₃₁	1	1	yes	characteristic
188	C₂²×C₈	C₂³×C₁₃₁	1	4	yes	—
189	#117	—	4	4	no	—
190	C₂×C₄⋊C₄	—	2	2	no	—
191	C₂×C₄⋊C₄	—	2	8	no	—
192	C₂×C₄⋊C₄	—	2	2	no	—
193	C₂×C₄⋊C₄	—	2	2	no	—
194	C₂×C₄⋊C₄	C₂³×C₁₃₁	1	4	yes	—
195	C₂×C₄⋊C₄	C₂³×C₁₃₁	1	4	yes	—
196	C₂×C₂²⋊C₄	—	2	2	no	—
197	C₂×C₄²	—	2	2	no	—
198	C₂×C₄²	—	2	2	no	—
199	C₂×C₄²	—	2	2	no	—
200	C₂×C₄²	—	4	4	no	—
201	C₂×C₄²	C₂×C₄×C₁₃₁	1	4	yes	—
202	C₂×C₄²	D₄×C₁₃₁	1	1	yes	characteristic
203	C₂×C₄²	D₄×C₁₃₁	1	1	yes	characteristic
204	C₂×C₄²	Q₈×C₁₃₁	1	4	yes	—
205	C₂×C₄²	C₂³×C₁₃₁	1	1	yes	characteristic
206	C₂×C₄²	C₂³×C₁₃₁	1	1	yes	characteristic
207	#106	—	2	16	no	—
208	C₄⋊C₈	C₂×C₄×C₁₃₁	1	8	yes	complemented
209	C₂²⋊C₈	C₂×C₄×C₁₃₁	1	8	yes	—
210	C₄×C₈	C₂×C₄×C₁₃₁	1	8	yes	complemented
211	#95	—	2	2	no	—
212	#95	—	2	2	no	—
213	#95	—	2	2	no	—
214	#95	—	2	2	no	—
215	C₂⁴	C₂×D₄×C₁₃₁	1	1	yes	characteristic
216	C₂²×C₄	—	2	4	no	—
217	C₂²×C₄	—	2	8	no	—
218	C₂²×C₄	—	2	4	no	—
219	C₂²×C₄	—	2	4	no	—
220	C₂²×C₄	—	4	2	no	—
221	C₂²×C₄	—	4	4	no	—
222	C₂²×C₄	—	4	4	no	—
223	C₂²×C₄	C₄⋊C₄×C₁₃₁	1	4	yes	—
224	C₂²×C₄	C₄⋊C₄×C₁₃₁	1	4	yes	—
225	C₂²×C₄	SD₁₆×C₁₃₁	1	4	yes	—
226	C₂²×C₄	SD₁₆×C₁₃₁	1	4	yes	—
227	C₂²×C₄	C₂²×C₄×C₁₃₁	1	2	yes	—
228	C₂²×C₄	C₂×D₄×C₁₃₁	1	1	yes	characteristic
229	C₂²×C₄	C₂×D₄×C₁₃₁	1	1	yes	characteristic
230	C₂²×C₄	C₂×D₄×C₁₃₁	1	1	yes	characteristic
231	C₂²×C₄	C₂×D₄×C₁₃₁	1	1	yes	characteristic
232	C₂²×C₄	C₂×D₄×C₁₃₁	1	1	yes	characteristic
233	C₂²×C₄	C₂×Q₈×C₁₃₁	1	2	yes	—
234	C₂²×C₄	C₂⁴×C₁₃₁	1	1	yes	characteristic
235	C₂×C₈	—	2	8	no	—
236	C₂×C₈	C₂²×C₄×C₁₃₁	1	8	yes	—
237	C₄⋊C₄	—	2	8	no	—
238	C₄⋊C₄	—	2	4	no	—
239	C₄⋊C₄	—	2	8	no	—
240	C₄⋊C₄	—	4	4	no	—
241	C₄⋊C₄	—	4	4	no	—
242	C₄⋊C₄	#41×C₁₃₁	1	8	yes	—
243	C₂²⋊C₄	—	4	4	no	—
244	C₄²	—	4	4	no	—
245	C₄²	—	4	4	no	—
246	C₄²	—	4	4	no	—
247	C₄²	C₄⋊C₄×C₁₃₁	1	4	yes	—
248	C₄²	C₄⋊C₄×C₁₃₁	1	4	yes	—
249	C₄²	C₂²×C₄×C₁₃₁	1	2	yes	—
250	C₄²	C₂²×C₄×C₁₃₁	1	2	yes	—
251	C₄²	C₂×Q₈×C₁₃₁	1	2	yes	—
252	C₄²	C₂×Q₈×C₁₃₁	1	2	yes	—
253	C₂³	—	2	2	no	—
254	C₂³	—	2	2	no	—
255	C₂³	C₂×C₄⋊C₄×C₁₃₁	1	2	yes	—
256	C₂³	C₂×SD₁₆×C₁₃₁	1	2	yes	—
257	C₂³	C₂×SD₁₆×C₁₃₁	1	2	yes	—
258	C₂³	C₂²×D₄×C₁₃₁	1	1	yes	characteristic
259	C₂×C₄	—	2	2	no	—
260	C₂×C₄	—	2	2	no	—
261	C₂×C₄	—	2	2	no	—
262	C₂×C₄	—	2	4	no	—
263	C₂×C₄	—	2	4	no	—
264	C₂×C₄	—	2	8	no	—
265	C₂×C₄	—	4	4	no	—
266	C₂×C₄	—	4	16	no	—
267	C₂×C₄	—	4	4	no	—
268	C₂×C₄	—	4	4	no	—
269	C₂×C₄	—	4	4	no	—
270	C₂×C₄	—	4	4	no	—
271	C₂×C₄	—	4	4	no	—
272	C₂×C₄	#106×C₁₃₁	1	16	yes	complemented
273	C₂×C₄	C₂×C₄⋊C₄×C₁₃₁	1	2	yes	—
274	C₂×C₄	C₂×C₄⋊C₄×C₁₃₁	1	2	yes	—
275	C₂×C₄	C₂×C₄⋊C₄×C₁₃₁	1	2	yes	—
276	C₂×C₄	C₂×C₄⋊C₄×C₁₃₁	1	2	yes	—
277	C₂×C₄	C₂×C₄⋊C₄×C₁₃₁	1	2	yes	—
278	C₂×C₄	C₂×SD₁₆×C₁₃₁	1	2	yes	—
279	C₂×C₄	C₂×SD₁₆×C₁₃₁	1	2	yes	—
280	C₂×C₄	C₂×SD₁₆×C₁₃₁	1	2	yes	—
281	C₂×C₄	C₂×SD₁₆×C₁₃₁	1	2	yes	—
282	C₂×C₄	C₂³×C₄×C₁₃₁	1	1	yes	characteristic
283	C₂×C₄	C₂²×Q₈×C₁₃₁	1	1	yes	characteristic
284	C₂×C₄	C₂×#41×C₁₃₁	1	4	yes	—
285	C₈	—	2	8	no	—
286	C₂²	—	2	2	no	—
287	C₂²	—	2	4	no	—
288	C₂²	—	2	4	no	—
289	C₂²	—	2	2	no	—
290	C₂²	C₂×#106×C₁₃₁	1	4	yes	—
291	C₂²	C₂²×C₄⋊C₄×C₁₃₁	1	1	yes	characteristic
292	C₂²	#525×C₁₃₁	1	2	yes	—
293	C₂²	C₂²×SD₁₆×C₁₃₁	1	1	yes	characteristic
294	C₂²	C₂²×SD₁₆×C₁₃₁	1	1	yes	characteristic
295	C₂²	#575×C₁₃₁	1	2	yes	—
296	C₄	—	2	2	no	—
297	C₄	—	2	2	no	—
298	C₄	—	2	2	no	—
299	C₄	—	4	8	no	—
300	C₄	—	8	4	no	—
301	C₄	C₂×#106×C₁₃₁	1	4	yes	—
302	C₄	C₂×#106×C₁₃₁	1	4	yes	—
303	C₄	C₄×#41×C₁₃₁	1	2	yes	—
304	C₄	#533×C₁₃₁	1	2	yes	—
305	C₂	—	2	4	no	—
306	C₂	#2296×C₁₃₁	1	1	yes	characteristic
307	C₂	C₂²×#106×C₁₃₁	1	1	yes	characteristic
308	C₂	#2911×C₁₃₁	1	1	yes	characteristic
309	C₂	#3101×C₁₃₁	1	2	yes	—
310	C₂	#3103×C₁₃₁	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₃₁	C₂×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃₁
socle	C₂³×C₁₃₁	C₂²×D₄
prime radical	C₂⁴×C₁₃₁	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃₁ ◁ C₂²×C₄²×C₁₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
4. #1948×C₁₃₁	C₂	semidirect
6. C₄×#106×C₁₃₁	C₂	semidirect
11. #431×C₁₃₁	C₄	semidirect
52. C₄⋊C₈×C₁₃₁	C₂×C₄	semidirect
54. C₄×C₈×C₁₃₁	C₂×C₄	semidirect
116. C₂×C₄×C₁₃₁	#106	semidirect
155. #21359	C₁₃₁	direct (N × H)
156. C₁₃₁	#21359	direct (N × H)
160. #1948	C₂×C₁₃₁	semidirect
162. C₄×#106	C₂×C₁₃₁	semidirect
167. #431	C₄×C₁₃₁	semidirect
208. C₄⋊C₈	C₂×C₄×C₁₃₁	semidirect
210. C₄×C₈	C₂×C₄×C₁₃₁	semidirect
272. C₂×C₄	#106×C₁₃₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×#431×C₁₃₁	2
#2285×C₁₃₁	2
C₂×C₄×C₄⋊C₄×C₁₃₁	2
#1948×C₁₃₁	2
#1853×C₁₃₁	2
C₄×#106×C₁₃₁	2
#21359	131

Subgroups — C131×#21359 #45707243

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₁×#21359 #45707243