Subgroups — C₁₅₁×#19731 #50324656

Order 38656.

730 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3230×C₁₅₁	C₂	1	2	yes	maximal, complemented
2	#3228×C₁₅₁	C₂	1	2	yes	maximal
3	#3185×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
4	#3152×C₁₅₁	C₂	1	1	yes	maximal, characteristic
5	#1723×C₁₅₁	C₂	1	2	yes	maximal, complemented
6	#1722×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
7	#1719×C₁₅₁	C₂	1	2	yes	maximal, complemented
8	#1716×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
9	#1713×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
10	#1708×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
11	#1453×C₁₅₁	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#137×C₁₅₁	—	2	2	no	—
13	#533×C₁₅₁	C₂²	1	2	yes	—
14	#532×C₁₅₁	C₂²	1	1	yes	characteristic
15	C₂×C₄⋊Q₈×C₁₅₁	C₂²	1	1	yes	characteristic
16	#500×C₁₅₁	C₂²	1	2	yes	—
17	#500×C₁₅₁	C₂²	1	2	yes	—
18	#500×C₁₅₁	C₂²	1	2	yes	—
19	#498×C₁₅₁	C₂²	1	1	yes	characteristic
20	#498×C₁₅₁	C₂²	1	2	yes	—
21	#497×C₁₅₁	—	2	2	no	—
22	#494×C₁₅₁	C₂²	1	1	yes	characteristic
23	#494×C₁₅₁	C₂²	1	1	yes	characteristic
24	#494×C₁₅₁	C₂²	1	1	yes	characteristic
25	#492×C₁₅₁	C₂²	1	1	yes	characteristic
26	#492×C₁₅₁	C₂²	1	1	yes	characteristic
27	#487×C₁₅₁	C₂²	1	2	yes	—
28	#487×C₁₅₁	C₂²	1	2	yes	—
29	#487×C₁₅₁	C₂²	1	2	yes	—
30	#486×C₁₅₁	C₂²	1	2	yes	—
31	#486×C₁₅₁	C₂²	1	2	yes	—
32	#484×C₁₅₁	—	2	4	no	—
33	#482×C₁₅₁	—	2	4	no	—
34	#478×C₁₅₁	—	2	4	no	—
35	#477×C₁₅₁	—	2	4	no	—
36	#470×C₁₅₁	—	2	2	no	—
37	#441×C₁₅₁	—	2	2	no	—
38	#431×C₁₅₁	C₂²	1	2	yes	—
39	C₄×M₁₆×C₁₅₁	C₂²	1	1	yes	characteristic
40	#322×C₁₅₁	C₂²	1	1	yes	characteristic
41	#322×C₁₅₁	C₂²	1	2	yes	—
42	C₈²×C₁₅₁	C₂²	1	1	yes	characteristic
43	C₂×#41×C₁₅₁	—	2	1	no	—
44	C₂²×Q₈×C₁₅₁	—	2	1	no	—
45	#137×C₁₅₁	—	4	8	no	—
46	C₂×Q₁₆×C₁₅₁	—	2	2	no	—
47	C₂×Q₁₆×C₁₅₁	—	2	2	no	—
48	C₂×Q₁₆×C₁₅₁	—	2	2	no	—
49	C₂×SD₁₆×C₁₅₁	—	2	2	no	—
50	C₂×SD₁₆×C₁₅₁	—	2	2	no	—
51	C₂×M₁₆×C₁₅₁	D₄	1	2	yes	—
52	C₄⋊Q₈×C₁₅₁	—	2	1	no	—
53	C₄⋊Q₈×C₁₅₁	—	2	2	no	—
54	C₄⋊Q₈×C₁₅₁	C₂³	1	2	yes	—
55	C₄⋊Q₈×C₁₅₁	C₂³	1	2	yes	—
56	C₄⋊Q₈×C₁₅₁	C₂³	1	1	yes	characteristic
57	C₄⋊Q₈×C₁₅₁	C₂³	1	1	yes	characteristic
58	C₄⋊Q₈×C₁₅₁	C₂³	1	1	yes	characteristic
59	#127×C₁₅₁	C₂³	1	1	yes	characteristic
60	#125×C₁₅₁	—	2	2	no	—
61	#124×C₁₅₁	—	2	1	no	—
62	C₂²⋊Q₈×C₁₅₁	—	2	2	no	—
63	C₂²⋊Q₈×C₁₅₁	—	2	2	no	—
64	#121×C₁₅₁	—	2	2	no	—
65	C₄×Q₈×C₁₅₁	—	2	2	no	—
66	C₄×Q₈×C₁₅₁	—	2	2	no	—
67	C₄×D₄×C₁₅₁	—	2	2	no	—
68	#117×C₁₅₁	—	2	2	no	—
69	C₂×C₄⋊C₄×C₁₅₁	—	2	2	no	—
70	C₂×C₄²×C₁₅₁	C₂³	1	1	yes	characteristic
71	#107×C₁₅₁	—	2	4	no	—
72	#107×C₁₅₁	—	2	4	no	—
73	#107×C₁₅₁	—	2	4	no	—
74	#106×C₁₅₁	—	2	2	no	—
75	#106×C₁₅₁	—	2	4	no	—
76	C₄⋊C₈×C₁₅₁	D₄	1	4	yes	—
77	#103×C₁₅₁	—	2	4	no	—
78	#103×C₁₅₁	—	2	4	no	—
79	#103×C₁₅₁	—	2	4	no	—
80	#102×C₁₅₁	—	2	4	no	—
81	#102×C₁₅₁	—	2	4	no	—
82	C₂²⋊C₈×C₁₅₁	D₄	1	4	yes	—
83	#97×C₁₅₁	D₄	1	2	yes	—
84	C₄×C₈×C₁₅₁	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₁₅₁	C₂³	1	1	yes	characteristic
86	C₄×C₈×C₁₅₁	C₂³	1	2	yes	—
87	C₄×C₈×C₁₅₁	C₂³	1	2	yes	—
88	#41×C₁₅₁	—	4	4	no	—
89	C₂×Q₈×C₁₅₁	—	2	2	no	—
90	C₂×Q₈×C₁₅₁	—	2	2	no	—
91	C₂×Q₈×C₁₅₁	—	2	1	no	—
92	C₂×Q₈×C₁₅₁	—	2	1	no	—
93	C₂×Q₈×C₁₅₁	—	2	1	no	—
94	C₂×Q₈×C₁₅₁	—	4	4	no	—
95	C₂×Q₈×C₁₅₁	—	4	1	no	—
96	C₂×D₄×C₁₅₁	—	2	2	no	—
97	C₂×D₄×C₁₅₁	—	2	1	no	—
98	C₂×D₄×C₁₅₁	—	4	1	no	—
99	C₂²×C₄×C₁₅₁	—	4	1	no	—
100	C₂²×C₄×C₁₅₁	—	4	1	no	—
101	C₂²×C₄×C₁₅₁	C₂×D₄	1	2	yes	—
102	C₂²×C₄×C₁₅₁	C₂×D₄	1	1	yes	characteristic
103	Q₁₆×C₁₅₁	—	4	4	no	—
104	Q₁₆×C₁₅₁	—	4	4	no	—
105	Q₁₆×C₁₅₁	—	4	4	no	—
106	SD₁₆×C₁₅₁	—	4	4	no	—
107	SD₁₆×C₁₅₁	—	4	4	no	—
108	M₁₆×C₁₅₁	—	2	4	no	—
109	C₂×C₈×C₁₅₁	C₂×D₄	1	2	yes	—
110	C₂×C₈×C₁₅₁	C₂×D₄	1	4	yes	—
111	C₂×C₈×C₁₅₁	C₂×D₄	1	4	yes	—
112	C₂×C₈×C₁₅₁	C₂×D₄	1	2	yes	—
113	C₄⋊C₄×C₁₅₁	—	2	2	no	—
114	C₄⋊C₄×C₁₅₁	—	2	2	no	—
115	C₄⋊C₄×C₁₅₁	—	2	2	no	—
116	C₄⋊C₄×C₁₅₁	—	2	2	no	—
117	C₄⋊C₄×C₁₅₁	—	2	2	no	—
118	C₄⋊C₄×C₁₅₁	—	2	2	no	—
119	C₄⋊C₄×C₁₅₁	—	2	2	no	—
120	C₄⋊C₄×C₁₅₁	—	4	2	no	—
121	C₄⋊C₄×C₁₅₁	—	4	2	no	—
122	C₄⋊C₄×C₁₅₁	—	4	2	no	—
123	C₂²⋊C₄×C₁₅₁	—	4	2	no	—
124	C₂²⋊C₄×C₁₅₁	—	4	2	no	—
125	C₄²×C₁₅₁	—	4	2	no	—
126	C₄²×C₁₅₁	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₁₅₁	C₂×D₄	1	2	yes	—
128	C₄²×C₁₅₁	C₂⁴	1	1	yes	characteristic
129	C₂³×C₁₅₁	—	4	1	no	—
130	C₂³×C₁₅₁	#127	1	1	yes	characteristic
131	Q₈×C₁₅₁	—	4	2	no	—
132	Q₈×C₁₅₁	—	4	2	no	—
133	Q₈×C₁₅₁	—	4	2	no	—
134	Q₈×C₁₅₁	—	4	4	no	—
135	Q₈×C₁₅₁	—	4	4	no	—
136	Q₈×C₁₅₁	—	8	2	no	—
137	D₄×C₁₅₁	—	4	2	no	—
138	D₄×C₁₅₁	—	4	4	no	—
139	D₄×C₁₅₁	—	8	2	no	—
140	C₂×C₄×C₁₅₁	—	2	2	no	—
141	C₂×C₄×C₁₅₁	—	2	4	no	—
142	C₂×C₄×C₁₅₁	—	4	1	no	—
143	C₂×C₄×C₁₅₁	—	4	1	no	—
144	C₂×C₄×C₁₅₁	—	4	2	no	—
145	C₂×C₄×C₁₅₁	—	4	2	no	—
146	C₂×C₄×C₁₅₁	—	4	1	no	—
147	C₂×C₄×C₁₅₁	—	8	2	no	—
148	C₂×C₄×C₁₅₁	—	8	2	no	—
149	C₂×C₄×C₁₅₁	#127	1	1	yes	characteristic
150	C₂×C₄×C₁₅₁	#127	1	2	yes	—
151	C₂×C₄×C₁₅₁	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₅₁	C₂²×D₄	1	2	yes	—
153	C₈×C₁₅₁	—	2	2	no	—
154	C₈×C₁₅₁	—	2	4	no	—
155	C₈×C₁₅₁	—	2	4	no	—
156	C₈×C₁₅₁	AGL(1,ℤ/8)	1	4	yes	—
157	C₂²×C₁₅₁	—	2	1	no	—
158	C₂²×C₁₅₁	—	2	2	no	—
159	C₂²×C₁₅₁	—	8	1	no	—
160	C₂²×C₁₅₁	—	8	2	no	—
161	C₂²×C₁₅₁	C₂×#127	1	1	yes	characteristic
162	C₄×C₁₅₁	—	2	1	no	—
163	C₄×C₁₅₁	—	2	2	no	—
164	C₄×C₁₅₁	—	8	1	no	—
165	C₄×C₁₅₁	—	8	1	no	—
166	C₄×C₁₅₁	—	8	1	no	—
167	C₄×C₁₅₁	—	8	2	no	—
168	C₄×C₁₅₁	—	8	2	no	—
169	C₄×C₁₅₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
170	C₄×C₁₅₁	#578	1	4	yes	—
171	C₂×C₁₅₁	—	4	1	no	—
172	C₂×C₁₅₁	—	16	1	no	—
173	C₂×C₁₅₁	#3151	1	1	yes	characteristic
174	C₂×C₁₅₁	#3156	1	2	yes	—
175	#19731	C₁₅₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
176	C₁₅₁	#19731	1	1	yes	characteristic, direct product factor, Sylow
177	#3230	C₂×C₁₅₁	1	2	yes	complemented
178	#3228	C₂×C₁₅₁	1	2	yes	—
179	#3185	C₂×C₁₅₁	1	1	yes	characteristic, complemented
180	#3152	C₂×C₁₅₁	1	1	yes	characteristic
181	#1723	C₂×C₁₅₁	1	2	yes	complemented
182	#1722	C₂×C₁₅₁	1	1	yes	characteristic, complemented
183	#1719	C₂×C₁₅₁	1	2	yes	complemented
184	#1716	C₂×C₁₅₁	1	1	yes	characteristic, complemented
185	#1713	C₂×C₁₅₁	1	1	yes	characteristic, complemented
186	#1708	C₂×C₁₅₁	1	1	yes	characteristic, complemented
187	#1453	C₂×C₁₅₁	1	1	yes	characteristic, complemented
188	C₂×#137	—	2	2	no	—
189	#533	C₂²×C₁₅₁	1	2	yes	—
190	#532	C₂²×C₁₅₁	1	1	yes	characteristic
191	C₂×C₄⋊Q₈	C₂²×C₁₅₁	1	1	yes	characteristic
192	#500	C₂²×C₁₅₁	1	2	yes	—
193	#500	C₂²×C₁₅₁	1	2	yes	—
194	#500	C₂²×C₁₅₁	1	2	yes	—
195	#498	C₂²×C₁₅₁	1	1	yes	characteristic
196	#498	C₂²×C₁₅₁	1	2	yes	—
197	#497	—	2	2	no	—
198	#494	C₂²×C₁₅₁	1	1	yes	characteristic
199	#494	C₂²×C₁₅₁	1	1	yes	characteristic
200	#494	C₂²×C₁₅₁	1	1	yes	characteristic
201	#492	C₂²×C₁₅₁	1	1	yes	characteristic
202	#492	C₂²×C₁₅₁	1	1	yes	characteristic
203	#487	C₂²×C₁₅₁	1	2	yes	—
204	#487	C₂²×C₁₅₁	1	2	yes	—
205	#487	C₂²×C₁₅₁	1	2	yes	—
206	#486	C₂²×C₁₅₁	1	2	yes	—
207	#486	C₂²×C₁₅₁	1	2	yes	—
208	#484	—	2	4	no	—
209	#482	—	2	4	no	—
210	#478	—	2	4	no	—
211	#477	—	2	4	no	—
212	#470	—	2	2	no	—
213	#441	—	2	2	no	—
214	#431	C₂²×C₁₅₁	1	2	yes	—
215	C₄×M₁₆	C₂²×C₁₅₁	1	1	yes	characteristic
216	#322	C₂²×C₁₅₁	1	1	yes	characteristic
217	#322	C₂²×C₁₅₁	1	2	yes	—
218	C₈²	C₂²×C₁₅₁	1	1	yes	characteristic
219	C₂×#41	—	2	1	no	—
220	C₂²×Q₈	—	2	1	no	—
221	#137	—	4	8	no	—
222	C₂×Q₁₆	—	2	2	no	—
223	C₂×Q₁₆	—	2	2	no	—
224	C₂×Q₁₆	—	2	2	no	—
225	C₂×SD₁₆	—	2	2	no	—
226	C₂×SD₁₆	—	2	2	no	—
227	C₂×M₁₆	D₄×C₁₅₁	1	2	yes	—
228	C₄⋊Q₈	—	2	2	no	—
229	C₄⋊Q₈	—	2	1	no	—
230	C₄⋊Q₈	C₂³×C₁₅₁	1	1	yes	characteristic
231	C₄⋊Q₈	C₂³×C₁₅₁	1	1	yes	characteristic
232	C₄⋊Q₈	C₂³×C₁₅₁	1	1	yes	characteristic
233	C₄⋊Q₈	C₂³×C₁₅₁	1	2	yes	—
234	C₄⋊Q₈	C₂³×C₁₅₁	1	2	yes	—
235	#127	C₂³×C₁₅₁	1	1	yes	characteristic
236	#125	—	2	2	no	—
237	#124	—	2	1	no	—
238	C₂²⋊Q₈	—	2	2	no	—
239	C₂²⋊Q₈	—	2	2	no	—
240	#121	—	2	2	no	—
241	C₄×Q₈	—	2	2	no	—
242	C₄×Q₈	—	2	2	no	—
243	C₄×D₄	—	2	2	no	—
244	#117	—	2	2	no	—
245	C₂×C₄⋊C₄	—	2	2	no	—
246	C₂×C₄²	C₂³×C₁₅₁	1	1	yes	characteristic
247	#107	—	2	4	no	—
248	#107	—	2	4	no	—
249	#107	—	2	4	no	—
250	#106	—	2	2	no	—
251	#106	—	2	4	no	—
252	C₄⋊C₈	D₄×C₁₅₁	1	4	yes	—
253	#103	—	2	4	no	—
254	#103	—	2	4	no	—
255	#103	—	2	4	no	—
256	#102	—	2	4	no	—
257	#102	—	2	4	no	—
258	C₂²⋊C₈	D₄×C₁₅₁	1	4	yes	—
259	#97	D₄×C₁₅₁	1	2	yes	—
260	C₄×C₈	C₂³×C₁₅₁	1	1	yes	characteristic
261	C₄×C₈	C₂³×C₁₅₁	1	2	yes	—
262	C₄×C₈	C₂³×C₁₅₁	1	1	yes	characteristic
263	C₄×C₈	C₂³×C₁₅₁	1	2	yes	—
264	#41	—	4	4	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	1	no	—
268	C₂×Q₈	—	2	1	no	—
269	C₂×Q₈	—	2	1	no	—
270	C₂×Q₈	—	4	4	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	4	1	no	—
275	C₂²×C₄	—	4	1	no	—
276	C₂²×C₄	—	4	1	no	—
277	C₂²×C₄	C₂×D₄×C₁₅₁	1	2	yes	—
278	C₂²×C₄	C₂×D₄×C₁₅₁	1	1	yes	characteristic
279	Q₁₆	—	4	4	no	—
280	Q₁₆	—	4	4	no	—
281	Q₁₆	—	4	4	no	—
282	SD₁₆	—	4	4	no	—
283	SD₁₆	—	4	4	no	—
284	M₁₆	—	2	4	no	—
285	C₂×C₈	C₂×D₄×C₁₅₁	1	2	yes	—
286	C₂×C₈	C₂×D₄×C₁₅₁	1	4	yes	—
287	C₂×C₈	C₂×D₄×C₁₅₁	1	4	yes	—
288	C₂×C₈	C₂×D₄×C₁₅₁	1	2	yes	—
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	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	4	2	no	—
298	C₄⋊C₄	—	4	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₄²	—	4	2	no	—
302	C₄²	C₂×D₄×C₁₅₁	1	1	yes	characteristic
303	C₄²	C₂×D₄×C₁₅₁	1	2	yes	—
304	C₄²	C₂⁴×C₁₅₁	1	1	yes	characteristic
305	C₂³	—	4	1	no	—
306	C₂³	#127×C₁₅₁	1	1	yes	characteristic
307	Q₈	—	4	2	no	—
308	Q₈	—	4	2	no	—
309	Q₈	—	4	2	no	—
310	Q₈	—	4	4	no	—
311	Q₈	—	4	4	no	—
312	Q₈	—	8	2	no	—
313	D₄	—	4	2	no	—
314	D₄	—	4	4	no	—
315	D₄	—	8	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	1	no	—
321	C₂×C₄	—	4	1	no	—
322	C₂×C₄	—	4	1	no	—
323	C₂×C₄	—	8	2	no	—
324	C₂×C₄	—	8	2	no	—
325	C₂×C₄	#127×C₁₅₁	1	2	yes	—
326	C₂×C₄	#127×C₁₅₁	1	1	yes	characteristic
327	C₂×C₄	C₂²×D₄×C₁₅₁	1	1	yes	characteristic
328	C₂×C₄	C₂²×D₄×C₁₅₁	1	2	yes	—
329	C₈	—	2	2	no	—
330	C₈	—	2	4	no	—
331	C₈	—	2	4	no	—
332	C₈	AGL(1,ℤ/8)×C₁₅₁	1	4	yes	—
333	C₂²	—	2	1	no	—
334	C₂²	—	2	2	no	—
335	C₂²	—	8	1	no	—
336	C₂²	—	8	2	no	—
337	C₂²	C₂×#127×C₁₅₁	1	1	yes	characteristic
338	C₄	—	2	1	no	—
339	C₄	—	2	2	no	—
340	C₄	—	8	1	no	—
341	C₄	—	8	1	no	—
342	C₄	—	8	1	no	—
343	C₄	—	8	2	no	—
344	C₄	—	8	2	no	—
345	C₄	C₂×AGL(1,ℤ/8)×C₁₅₁	1	2	yes	—
346	C₄	#578×C₁₅₁	1	4	yes	—
347	C₂	—	4	1	no	—
348	C₂	—	16	1	no	—
349	C₂	#3151×C₁₅₁	1	1	yes	characteristic
350	C₂	#3156×C₁₅₁	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₅₁	C₂×#127
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₅₁
prime radical	#532×C₁₅₁	C₂²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₅₁ ◁ C₂×C₄²×C₁₅₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. #3230×C₁₅₁	C₂	semidirect
3. #3185×C₁₅₁	C₂	semidirect
5. #1723×C₁₅₁	C₂	semidirect
6. #1722×C₁₅₁	C₂	semidirect
7. #1719×C₁₅₁	C₂	semidirect
8. #1716×C₁₅₁	C₂	semidirect
9. #1713×C₁₅₁	C₂	semidirect
10. #1708×C₁₅₁	C₂	semidirect
11. #1453×C₁₅₁	C₂	semidirect
175. #19731	C₁₅₁	direct (N × H)
176. C₁₅₁	#19731	direct (N × H)
177. #3230	C₂×C₁₅₁	semidirect
179. #3185	C₂×C₁₅₁	semidirect
181. #1723	C₂×C₁₅₁	semidirect
182. #1722	C₂×C₁₅₁	semidirect
183. #1719	C₂×C₁₅₁	semidirect
184. #1716	C₂×C₁₅₁	semidirect
185. #1713	C₂×C₁₅₁	semidirect
186. #1708	C₂×C₁₅₁	semidirect
187. #1453	C₂×C₁₅₁	semidirect

Maximal subgroups

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

subgroup	index
#3230×C₁₅₁	2
#3228×C₁₅₁	2
#3185×C₁₅₁	2
#3152×C₁₅₁	2
#1723×C₁₅₁	2
#1722×C₁₅₁	2
#1719×C₁₅₁	2
#1716×C₁₅₁	2
#1713×C₁₅₁	2
#1708×C₁₅₁	2
#1453×C₁₅₁	2
#19731	151

Subgroups — C151×#19731 #50324656

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₅₁×#19731 #50324656