Subgroups — C₁₀₁×#8393 #38790544

Order 25856.

998 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#547×C₁₀₁	C₂	1	1	yes	maximal, characteristic
2	C₁₀₁×#1800	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₀₁×#1548	C₂	1	2	yes	maximal, complemented
4	C₁₀₁×#1486	C₂	1	2	yes	maximal, complemented
5	C₁₀₁×#1460	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#41×C₁₀₁	C₄	1	2	yes	—
7	#547×C₁₀₁	—	2	4	no	—
8	#547×C₁₀₁	—	2	4	no	—
9	C₂×C₄⋊Q₈×C₁₀₁	C₂²	1	1	yes	characteristic
10	C₂×#123×C₁₀₁	—	2	2	no	—
11	C₂×C₂²⋊Q₈×C₁₀₁	C₄	1	2	yes	—
12	C₂×#121×C₁₀₁	—	2	1	no	—
13	C₂×C₄×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
14	C₂×C₄×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
15	C₂²×C₄⋊C₄×C₁₀₁	—	2	1	no	—
16	#431×C₁₀₁	C₂²	1	2	yes	—
17	#423×C₁₀₁	C₂²	1	2	yes	—
18	C₂×#100×C₁₀₁	—	2	1	no	—
19	#343×C₁₀₁	—	2	1	no	—
20	#333×C₁₀₁	—	2	4	no	—
21	D₄⋊C₈×C₁₀₁	—	2	4	no	—
22	#323×C₁₀₁	—	2	2	no	—
23	C₂×#41×C₁₀₁	—	2	4	no	—
24	C₂×#41×C₁₀₁	—	2	4	no	—
25	C₂×#41×C₁₀₁	—	4	8	no	—
26	C₂²×Q₈×C₁₀₁	C₂×C₄	1	2	yes	—
27	C₂²×D₄×C₁₀₁	—	2	2	no	—
28	C₂²×D₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
29	C₂²×D₄×C₁₀₁	D₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₀₁	—	2	2	no	—
31	C₂³×C₄×C₁₀₁	—	2	1	no	—
32	C₂³×C₄×C₁₀₁	C₂×C₄	1	2	yes	—
33	C₂×M₁₆×C₁₀₁	—	2	2	no	—
34	C₄⋊Q₈×C₁₀₁	—	2	2	no	—
35	C₄⋊Q₈×C₁₀₁	D₄	1	4	yes	—
36	#123×C₁₀₁	—	2	16	no	—
37	C₂²⋊Q₈×C₁₀₁	—	2	4	no	—
38	C₂²⋊Q₈×C₁₀₁	—	2	4	no	—
39	#121×C₁₀₁	—	2	8	no	—
40	C₄×D₄×C₁₀₁	—	2	2	no	—
41	C₄×D₄×C₁₀₁	—	2	2	no	—
42	C₄×D₄×C₁₀₁	—	2	2	no	—
43	C₄×D₄×C₁₀₁	D₄	1	4	yes	—
44	C₂×C₄⋊C₄×C₁₀₁	—	2	8	no	—
45	C₂×C₄⋊C₄×C₁₀₁	—	2	2	no	—
46	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
47	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
48	C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₁₀₁	D₄	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
52	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	2	yes	—
53	C₂×C₄²×C₁₀₁	C₂³	1	1	yes	characteristic
54	C₄⋊C₈×C₁₀₁	—	2	2	no	—
55	C₄⋊C₈×C₁₀₁	—	2	2	no	—
56	C₄⋊C₈×C₁₀₁	—	2	2	no	—
57	#100×C₁₀₁	—	4	2	no	—
58	C₂²⋊C₈×C₁₀₁	—	2	2	no	—
59	C₄×C₈×C₁₀₁	—	2	2	no	—
60	C₂⁴×C₁₀₁	—	2	1	no	—
61	C₂⁴×C₁₀₁	C₂²⋊C₄	1	2	yes	—
62	#41×C₁₀₁	—	4	16	no	—
63	#41×C₁₀₁	—	4	8	no	—
64	#41×C₁₀₁	—	4	8	no	—
65	C₂×Q₈×C₁₀₁	—	2	2	no	—
66	C₂×Q₈×C₁₀₁	—	4	4	no	—
67	C₂×Q₈×C₁₀₁	C₂²⋊C₄	1	4	yes	—
68	C₂×D₄×C₁₀₁	—	2	4	no	—
69	C₂×D₄×C₁₀₁	—	2	8	no	—
70	C₂×D₄×C₁₀₁	—	2	1	no	—
71	C₂×D₄×C₁₀₁	—	2	2	no	—
72	C₂×D₄×C₁₀₁	—	2	2	no	—
73	C₂×D₄×C₁₀₁	—	2	1	no	—
74	C₂×D₄×C₁₀₁	—	2	1	no	—
75	C₂×D₄×C₁₀₁	—	4	8	no	—
76	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
77	C₂²×C₄×C₁₀₁	—	2	8	no	—
78	C₂²×C₄×C₁₀₁	—	2	1	no	—
79	C₂²×C₄×C₁₀₁	—	2	2	no	—
80	C₂²×C₄×C₁₀₁	—	2	2	no	—
81	C₂²×C₄×C₁₀₁	—	2	2	no	—
82	C₂²×C₄×C₁₀₁	—	2	4	no	—
83	C₂²×C₄×C₁₀₁	—	4	4	no	—
84	C₂²×C₄×C₁₀₁	—	4	8	no	—
85	C₂²×C₄×C₁₀₁	—	4	2	no	—
86	C₂²×C₄×C₁₀₁	—	4	1	no	—
87	C₂²×C₄×C₁₀₁	—	4	1	no	—
88	C₂²×C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
89	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
92	M₁₆×C₁₀₁	—	4	2	no	—
93	M₁₆×C₁₀₁	—	4	2	no	—
94	C₂×C₈×C₁₀₁	—	4	2	no	—
95	C₂×C₈×C₁₀₁	—	4	2	no	—
96	C₄⋊C₄×C₁₀₁	—	2	8	no	—
97	C₄⋊C₄×C₁₀₁	—	2	1	no	—
98	C₄⋊C₄×C₁₀₁	—	2	2	no	—
99	C₄⋊C₄×C₁₀₁	—	2	4	no	—
100	C₄⋊C₄×C₁₀₁	—	2	4	no	—
101	C₄⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
102	C₂²⋊C₄×C₁₀₁	—	2	8	no	—
103	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
104	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
105	C₄²×C₁₀₁	C₂×D₄	1	2	yes	—
106	C₄²×C₁₀₁	C₂×D₄	1	2	yes	—
107	C₂³×C₁₀₁	—	2	4	no	—
108	C₂³×C₁₀₁	—	2	2	no	—
109	C₂³×C₁₀₁	—	2	2	no	—
110	C₂³×C₁₀₁	—	2	2	no	—
111	C₂³×C₁₀₁	—	2	2	no	—
112	C₂³×C₁₀₁	—	4	2	no	—
113	C₂³×C₁₀₁	—	4	2	no	—
114	C₂³×C₁₀₁	—	4	2	no	—
115	C₂³×C₁₀₁	—	4	1	no	—
116	C₂³×C₁₀₁	—	4	1	no	—
117	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
118	Q₈×C₁₀₁	—	4	4	no	—
119	Q₈×C₁₀₁	—	4	4	no	—
120	D₄×C₁₀₁	—	2	4	no	—
121	D₄×C₁₀₁	—	2	2	no	—
122	D₄×C₁₀₁	—	4	16	no	—
123	D₄×C₁₀₁	—	4	2	no	—
124	D₄×C₁₀₁	—	4	2	no	—
125	D₄×C₁₀₁	#100	1	4	yes	complemented
126	C₂×C₄×C₁₀₁	—	2	2	no	—
127	C₂×C₄×C₁₀₁	—	2	2	no	—
128	C₂×C₄×C₁₀₁	—	2	2	no	—
129	C₂×C₄×C₁₀₁	—	2	4	no	—
130	C₂×C₄×C₁₀₁	—	4	1	no	—
131	C₂×C₄×C₁₀₁	—	4	4	no	—
132	C₂×C₄×C₁₀₁	—	4	4	no	—
133	C₂×C₄×C₁₀₁	—	4	16	no	—
134	C₂×C₄×C₁₀₁	—	4	1	no	—
135	C₂×C₄×C₁₀₁	—	4	1	no	—
136	C₂×C₄×C₁₀₁	—	4	4	no	—
137	C₂×C₄×C₁₀₁	—	4	4	no	—
138	C₂×C₄×C₁₀₁	—	4	4	no	—
139	C₂×C₄×C₁₀₁	—	4	2	no	—
140	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
141	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
142	C₂×C₄×C₁₀₁	#120	1	2	yes	—
143	C₂×C₄×C₁₀₁	#120	1	2	yes	—
144	C₂×C₄×C₁₀₁	#135	1	2	yes	—
145	C₂×C₄×C₁₀₁	AGL(1,ℤ/8)	1	1	yes	characteristic
146	C₂×C₄×C₁₀₁	#137	1	1	yes	characteristic
147	C₈×C₁₀₁	—	8	2	no	—
148	C₈×C₁₀₁	—	8	2	no	—
149	C₂²×C₁₀₁	—	2	1	no	—
150	C₂²×C₁₀₁	—	2	1	no	—
151	C₂²×C₁₀₁	—	2	4	no	—
152	C₂²×C₁₀₁	—	4	4	no	—
153	C₂²×C₁₀₁	—	4	4	no	—
154	C₂²×C₁₀₁	—	4	2	no	—
155	C₂²×C₁₀₁	—	4	2	no	—
156	C₂²×C₁₀₁	—	4	2	no	—
157	C₂²×C₁₀₁	—	4	2	no	—
158	C₂²×C₁₀₁	—	4	2	no	—
159	C₂²×C₁₀₁	—	8	2	no	—
160	C₂²×C₁₀₁	—	8	2	no	—
161	C₂²×C₁₀₁	#379	1	1	yes	characteristic
162	C₂²×C₁₀₁	#416	1	1	yes	characteristic
163	C₂²×C₁₀₁	#417	1	1	yes	characteristic
164	C₄×C₁₀₁	—	2	2	no	—
165	C₄×C₁₀₁	—	2	1	no	—
166	C₄×C₁₀₁	—	4	2	no	—
167	C₄×C₁₀₁	—	4	4	no	—
168	C₄×C₁₀₁	—	4	2	no	—
169	C₄×C₁₀₁	C₂×#100	1	2	yes	—
170	C₄×C₁₀₁	#449	1	2	yes	—
171	C₄×C₁₀₁	#452	1	2	yes	—
172	#8393	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
173	C₂×C₁₀₁	—	2	1	no	—
174	C₂×C₁₀₁	—	2	1	no	—
175	C₂×C₁₀₁	—	4	4	no	—
176	C₂×C₁₀₁	—	8	2	no	—
177	C₂×C₁₀₁	#1783	1	1	yes	characteristic
178	C₂×C₁₀₁	#1788	1	1	yes	characteristic
179	C₂×C₁₀₁	#1796	1	1	yes	characteristic
180	C₂×#547	C₂×C₁₀₁	1	1	yes	characteristic
181	#1800	C₂×C₁₀₁	1	1	yes	characteristic, complemented
182	#1548	C₂×C₁₀₁	1	2	yes	complemented
183	#1486	C₂×C₁₀₁	1	2	yes	complemented
184	#1460	C₂×C₁₀₁	1	1	yes	characteristic, complemented
185	C₁₀₁	#8393	1	1	yes	characteristic, direct product factor, Sylow
186	C₂²×#41	C₄×C₁₀₁	1	2	yes	—
187	#547	—	2	4	no	—
188	#547	—	2	4	no	—
189	C₂×C₄⋊Q₈	C₂²×C₁₀₁	1	1	yes	characteristic
190	C₂×#123	—	2	2	no	—
191	C₂×C₂²⋊Q₈	C₄×C₁₀₁	1	2	yes	—
192	C₂×#121	—	2	1	no	—
193	C₂×C₄×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
194	C₂×C₄×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
195	C₂²×C₄⋊C₄	—	2	1	no	—
196	#431	C₂²×C₁₀₁	1	2	yes	—
197	#423	C₂²×C₁₀₁	1	2	yes	—
198	C₂×#100	—	2	1	no	—
199	#343	—	2	1	no	—
200	#333	—	2	4	no	—
201	D₄⋊C₈	—	2	4	no	—
202	#323	—	2	2	no	—
203	C₂×#41	—	2	4	no	—
204	C₂×#41	—	2	4	no	—
205	C₂×#41	—	4	8	no	—
206	C₂²×Q₈	C₂×C₄×C₁₀₁	1	2	yes	—
207	C₂²×D₄	—	2	2	no	—
208	C₂²×D₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic
209	C₂²×D₄	D₄×C₁₀₁	1	1	yes	characteristic
210	C₂³×C₄	—	2	2	no	—
211	C₂³×C₄	—	2	1	no	—
212	C₂³×C₄	C₂×C₄×C₁₀₁	1	2	yes	—
213	C₂×M₁₆	—	2	2	no	—
214	C₄⋊Q₈	—	2	2	no	—
215	C₄⋊Q₈	D₄×C₁₀₁	1	4	yes	—
216	#123	—	2	16	no	—
217	C₂²⋊Q₈	—	2	4	no	—
218	C₂²⋊Q₈	—	2	4	no	—
219	#121	—	2	8	no	—
220	C₄×D₄	—	2	2	no	—
221	C₄×D₄	—	2	2	no	—
222	C₄×D₄	—	2	2	no	—
223	C₄×D₄	D₄×C₁₀₁	1	4	yes	—
224	C₂×C₄⋊C₄	—	2	8	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic
229	C₂×C₄⋊C₄	D₄×C₁₀₁	1	1	yes	characteristic
230	C₂×C₂²⋊C₄	—	2	2	no	—
231	C₂×C₂²⋊C₄	—	2	1	no	—
232	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	2	yes	—
233	C₂×C₄²	C₂³×C₁₀₁	1	1	yes	characteristic
234	C₄⋊C₈	—	2	2	no	—
235	C₄⋊C₈	—	2	2	no	—
236	C₄⋊C₈	—	2	2	no	—
237	#100	—	4	2	no	—
238	C₂²⋊C₈	—	2	2	no	—
239	C₄×C₈	—	2	2	no	—
240	C₂⁴	—	2	1	no	—
241	C₂⁴	C₂²⋊C₄×C₁₀₁	1	2	yes	—
242	#41	—	4	16	no	—
243	#41	—	4	8	no	—
244	#41	—	4	8	no	—
245	C₂×Q₈	—	2	2	no	—
246	C₂×Q₈	—	4	4	no	—
247	C₂×Q₈	C₂²⋊C₄×C₁₀₁	1	4	yes	—
248	C₂×D₄	—	2	4	no	—
249	C₂×D₄	—	2	8	no	—
250	C₂×D₄	—	2	1	no	—
251	C₂×D₄	—	2	2	no	—
252	C₂×D₄	—	2	2	no	—
253	C₂×D₄	—	2	1	no	—
254	C₂×D₄	—	2	1	no	—
255	C₂×D₄	—	4	8	no	—
256	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
257	C₂²×C₄	—	2	8	no	—
258	C₂²×C₄	—	2	1	no	—
259	C₂²×C₄	—	2	2	no	—
260	C₂²×C₄	—	2	2	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	4	no	—
263	C₂²×C₄	—	4	4	no	—
264	C₂²×C₄	—	4	8	no	—
265	C₂²×C₄	—	4	2	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	—	4	1	no	—
268	C₂²×C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
269	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
270	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
271	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
272	M₁₆	—	4	2	no	—
273	M₁₆	—	4	2	no	—
274	C₂×C₈	—	4	2	no	—
275	C₂×C₈	—	4	2	no	—
276	C₄⋊C₄	—	2	8	no	—
277	C₄⋊C₄	—	2	1	no	—
278	C₄⋊C₄	—	2	2	no	—
279	C₄⋊C₄	—	2	4	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
282	C₂²⋊C₄	—	2	8	no	—
283	C₂²⋊C₄	—	2	4	no	—
284	C₂²⋊C₄	—	2	4	no	—
285	C₄²	C₂×D₄×C₁₀₁	1	2	yes	—
286	C₄²	C₂×D₄×C₁₀₁	1	2	yes	—
287	C₂³	—	2	4	no	—
288	C₂³	—	2	2	no	—
289	C₂³	—	2	2	no	—
290	C₂³	—	2	2	no	—
291	C₂³	—	2	2	no	—
292	C₂³	—	4	2	no	—
293	C₂³	—	4	2	no	—
294	C₂³	—	4	2	no	—
295	C₂³	—	4	1	no	—
296	C₂³	—	4	1	no	—
297	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
298	Q₈	—	4	4	no	—
299	Q₈	—	4	4	no	—
300	D₄	—	2	4	no	—
301	D₄	—	2	2	no	—
302	D₄	—	4	16	no	—
303	D₄	—	4	2	no	—
304	D₄	—	4	2	no	—
305	D₄	#100×C₁₀₁	1	4	yes	complemented
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	4	1	no	—
311	C₂×C₄	—	4	4	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	16	no	—
314	C₂×C₄	—	4	1	no	—
315	C₂×C₄	—	4	1	no	—
316	C₂×C₄	—	4	4	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	4	4	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
321	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
322	C₂×C₄	#120×C₁₀₁	1	2	yes	—
323	C₂×C₄	#120×C₁₀₁	1	2	yes	—
324	C₂×C₄	#135×C₁₀₁	1	2	yes	—
325	C₂×C₄	AGL(1,ℤ/8)×C₁₀₁	1	1	yes	characteristic
326	C₂×C₄	#137×C₁₀₁	1	1	yes	characteristic
327	C₈	—	8	2	no	—
328	C₈	—	8	2	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	2	4	no	—
332	C₂²	—	4	4	no	—
333	C₂²	—	4	4	no	—
334	C₂²	—	4	2	no	—
335	C₂²	—	4	2	no	—
336	C₂²	—	4	2	no	—
337	C₂²	—	4	2	no	—
338	C₂²	—	4	2	no	—
339	C₂²	—	8	2	no	—
340	C₂²	—	8	2	no	—
341	C₂²	#379×C₁₀₁	1	1	yes	characteristic
342	C₂²	#416×C₁₀₁	1	1	yes	characteristic
343	C₂²	#417×C₁₀₁	1	1	yes	characteristic
344	C₄	—	2	1	no	—
345	C₄	—	2	2	no	—
346	C₄	—	4	2	no	—
347	C₄	—	4	4	no	—
348	C₄	—	4	2	no	—
349	C₄	C₂×#100×C₁₀₁	1	2	yes	—
350	C₄	#449×C₁₀₁	1	2	yes	—
351	C₄	#452×C₁₀₁	1	2	yes	—
352	C₂	—	2	1	no	—
353	C₂	—	2	1	no	—
354	C₂	—	4	4	no	—
355	C₂	—	8	2	no	—
356	C₂	C₁₀₁×#1783	1	1	yes	characteristic
357	C₂	C₁₀₁×#1788	1	1	yes	characteristic
358	C₂	C₁₀₁×#1796	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₀₁	#379
commutator	C₂²×C₄	C₂²×C₄×C₁₀₁
Frattini, cosocle	C₂×C₄²	C₂³×C₁₀₁
prime radical	C₂×#547×C₁₀₁	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₀₁ ◁ C₂×C₄²×C₁₀₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₀₁×#1800	C₂	semidirect
3. C₁₀₁×#1548	C₂	semidirect
4. C₁₀₁×#1486	C₂	semidirect
5. C₁₀₁×#1460	C₂	semidirect
125. D₄×C₁₀₁	#100	semidirect
172. #8393	C₁₀₁	direct (N × H)
181. #1800	C₂×C₁₀₁	semidirect
182. #1548	C₂×C₁₀₁	semidirect
183. #1486	C₂×C₁₀₁	semidirect
184. #1460	C₂×C₁₀₁	semidirect
185. C₁₀₁	#8393	direct (N × H)
305. D₄	#100×C₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×#547×C₁₀₁	2
C₁₀₁×#1800	2
C₁₀₁×#1548	2
C₁₀₁×#1486	2
C₁₀₁×#1460	2
#8393	101

Subgroups — C101×#8393 #38790544

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#8393 #38790544