Subgroups — C₁₀₁×#23813 #38805964

Order 25856.

1022 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	C₂×#442×C₁₀₁	C₂	1	1	yes	maximal, characteristic
2	C₂×#441×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×SD₁₆×C₁₀₁	C₂	1	2	yes	maximal, complemented
4	C₁₀₁×#2326	C₂	1	2	yes	maximal, complemented
5	C₁₀₁×#2096	C₂	1	2	yes	maximal, complemented
6	C₁₀₁×#2094	C₂	1	2	yes	maximal, complemented
7	C₁₀₁×#2015	C₂	1	2	yes	maximal, complemented
8	C₁₀₁×#2012	C₂	1	2	yes	maximal
9	C₁₀₁×#1746	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×Q₁₆×C₁₀₁	C₂²	1	1	yes	characteristic
11	C₂²×SD₁₆×C₁₀₁	C₂²	1	2	yes	—
12	C₂²×D₈×C₁₀₁	C₂²	1	1	yes	characteristic
13	C₂×#124×C₁₀₁	C₂²	1	2	yes	—
14	C₂×C₄×Q₈×C₁₀₁	C₂²	1	2	yes	—
15	C₂×C₄×D₄×C₁₀₁	C₂²	1	2	yes	—
16	#442×C₁₀₁	—	2	4	no	—
17	#441×C₁₀₁	—	2	4	no	—
18	C₄×SD₁₆×C₁₀₁	—	2	8	no	—
19	C₂×#106×C₁₀₁	C₂²	1	2	yes	—
20	C₂×#106×C₁₀₁	C₂²	1	1	yes	characteristic
21	C₂×#106×C₁₀₁	C₂²	1	1	yes	characteristic
22	C₂×#103×C₁₀₁	C₂²	1	2	yes	—
23	C₂×#103×C₁₀₁	C₂²	1	2	yes	—
24	C₂×#102×C₁₀₁	C₂²	1	2	yes	—
25	C₂×#102×C₁₀₁	C₂²	1	2	yes	—
26	C₂×#97×C₁₀₁	C₂²	1	1	yes	characteristic
27	C₂×C₄×C₈×C₁₀₁	C₂²	1	1	yes	characteristic
28	#391×C₁₀₁	C₂²	1	2	yes	—
29	#390×C₁₀₁	C₂²	1	2	yes	—
30	#388×C₁₀₁	—	2	4	no	—
31	#385×C₁₀₁	—	2	4	no	—
32	#384×C₁₀₁	C₂²	1	2	yes	—
33	#376×C₁₀₁	C₂²	1	1	yes	characteristic
34	#336×C₁₀₁	C₂²	1	2	yes	—
35	#336×C₁₀₁	C₂²	1	2	yes	—
36	C₂²×Q₈×C₁₀₁	C₂³	1	2	yes	—
37	C₂²×D₄×C₁₀₁	C₂³	1	2	yes	—
38	C₂³×C₄×C₁₀₁	—	2	2	no	—
39	C₂×Q₁₆×C₁₀₁	—	2	4	no	—
40	C₂×Q₁₆×C₁₀₁	—	2	2	no	—
41	C₂×SD₁₆×C₁₀₁	—	2	4	no	—
42	C₂×SD₁₆×C₁₀₁	—	2	4	no	—
43	C₂×SD₁₆×C₁₀₁	—	2	4	no	—
44	C₂×D₈×C₁₀₁	—	2	4	no	—
45	C₂×D₈×C₁₀₁	—	2	2	no	—
46	C₂²×C₈×C₁₀₁	C₂³	1	2	yes	—
47	C₂²×C₈×C₁₀₁	C₂³	1	1	yes	characteristic
48	C₂²×C₈×C₁₀₁	C₂³	1	1	yes	characteristic
49	#124×C₁₀₁	—	2	4	no	—
50	#124×C₁₀₁	—	2	4	no	—
51	C₄×Q₈×C₁₀₁	—	2	4	no	—
52	C₄×Q₈×C₁₀₁	—	2	4	no	—
53	C₄×D₄×C₁₀₁	—	2	4	no	—
54	C₄×D₄×C₁₀₁	—	2	4	no	—
55	C₂×C₄⋊C₄×C₁₀₁	—	2	2	no	—
56	C₂×C₄⋊C₄×C₁₀₁	—	2	4	no	—
57	C₂×C₄⋊C₄×C₁₀₁	C₂³	1	2	yes	—
58	C₂×C₄⋊C₄×C₁₀₁	C₂³	1	2	yes	—
59	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
60	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
61	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
62	C₂×C₄²×C₁₀₁	—	2	2	no	—
63	C₂×C₄²×C₁₀₁	C₂³	1	2	yes	—
64	C₂×C₄²×C₁₀₁	C₂³	1	1	yes	characteristic
65	#106×C₁₀₁	—	2	4	no	—
66	#106×C₁₀₁	—	2	2	no	—
67	#106×C₁₀₁	—	2	2	no	—
68	#103×C₁₀₁	—	2	4	no	—
69	#103×C₁₀₁	—	2	4	no	—
70	#102×C₁₀₁	—	2	4	no	—
71	#102×C₁₀₁	—	2	4	no	—
72	#97×C₁₀₁	D₄	1	4	yes	—
73	C₄×C₈×C₁₀₁	D₄	1	4	yes	—
74	#95×C₁₀₁	—	2	4	no	—
75	#95×C₁₀₁	D₄	1	4	yes	—
76	C₂⁴×C₁₀₁	—	2	2	no	—
77	C₂×Q₈×C₁₀₁	—	2	2	no	—
78	C₂×Q₈×C₁₀₁	—	2	2	no	—
79	C₂×Q₈×C₁₀₁	—	2	2	no	—
80	C₂×Q₈×C₁₀₁	—	2	2	no	—
81	C₂×Q₈×C₁₀₁	—	2	2	no	—
82	C₂×Q₈×C₁₀₁	#41	1	4	yes	—
83	C₂×D₄×C₁₀₁	—	2	2	no	—
84	C₂×D₄×C₁₀₁	—	2	2	no	—
85	C₂×D₄×C₁₀₁	—	2	2	no	—
86	C₂×D₄×C₁₀₁	—	2	2	no	—
87	C₂×D₄×C₁₀₁	—	2	2	no	—
88	C₂×D₄×C₁₀₁	#41	1	4	yes	—
89	C₂²×C₄×C₁₀₁	—	2	2	no	—
90	C₂²×C₄×C₁₀₁	—	2	2	no	—
91	C₂²×C₄×C₁₀₁	—	2	2	no	—
92	C₂²×C₄×C₁₀₁	—	4	4	no	—
93	C₂²×C₄×C₁₀₁	—	8	4	no	—
94	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
95	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
97	Q₁₆×C₁₀₁	—	2	8	no	—
98	SD₁₆×C₁₀₁	—	2	16	no	—
99	D₈×C₁₀₁	—	2	8	no	—
100	C₂×C₈×C₁₀₁	—	2	2	no	—
101	C₂×C₈×C₁₀₁	—	2	2	no	—
102	C₂×C₈×C₁₀₁	—	2	2	no	—
103	C₂×C₈×C₁₀₁	—	2	2	no	—
104	C₂×C₈×C₁₀₁	C₂×D₄	1	4	yes	—
105	C₂×C₈×C₁₀₁	C₂×D₄	1	2	yes	—
106	C₂×C₈×C₁₀₁	C₂×D₄	1	2	yes	—
107	C₄⋊C₄×C₁₀₁	—	2	2	no	—
108	C₄⋊C₄×C₁₀₁	—	2	2	no	—
109	C₄⋊C₄×C₁₀₁	—	2	2	no	—
110	C₄⋊C₄×C₁₀₁	—	2	2	no	—
111	C₄⋊C₄×C₁₀₁	—	4	4	no	—
112	C₄⋊C₄×C₁₀₁	—	8	4	no	—
113	C₂²⋊C₄×C₁₀₁	—	2	16	no	—
114	C₂²⋊C₄×C₁₀₁	—	4	4	no	—
115	C₂²⋊C₄×C₁₀₁	—	8	4	no	—
116	C₄²×C₁₀₁	—	2	2	no	—
117	C₄²×C₁₀₁	—	2	2	no	—
118	C₄²×C₁₀₁	—	4	4	no	—
119	C₄²×C₁₀₁	C₂×D₄	1	2	yes	—
120	C₄²×C₁₀₁	C₂×D₄	1	2	yes	—
121	C₂³×C₁₀₁	—	2	4	no	—
122	C₂³×C₁₀₁	—	4	2	no	—
123	C₂³×C₁₀₁	—	4	2	no	—
124	C₂³×C₁₀₁	—	4	4	no	—
125	C₂³×C₁₀₁	—	4	4	no	—
126	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
127	Q₈×C₁₀₁	—	2	4	no	—
128	Q₈×C₁₀₁	—	2	4	no	—
129	Q₈×C₁₀₁	—	4	2	no	—
130	Q₈×C₁₀₁	—	4	2	no	—
131	D₄×C₁₀₁	—	2	4	no	—
132	D₄×C₁₀₁	—	2	4	no	—
133	D₄×C₁₀₁	—	4	2	no	—
134	D₄×C₁₀₁	—	4	2	no	—
135	C₂×C₄×C₁₀₁	—	2	4	no	—
136	C₂×C₄×C₁₀₁	—	2	4	no	—
137	C₂×C₄×C₁₀₁	—	2	4	no	—
138	C₂×C₄×C₁₀₁	—	2	4	no	—
139	C₂×C₄×C₁₀₁	—	2	4	no	—
140	C₂×C₄×C₁₀₁	—	4	2	no	—
141	C₂×C₄×C₁₀₁	—	4	2	no	—
142	C₂×C₄×C₁₀₁	—	4	2	no	—
143	C₂×C₄×C₁₀₁	—	4	2	no	—
144	C₂×C₄×C₁₀₁	—	4	4	no	—
145	C₂×C₄×C₁₀₁	—	4	4	no	—
146	C₂×C₄×C₁₀₁	—	8	8	no	—
147	C₂×C₄×C₁₀₁	#127	1	4	yes	—
148	C₂×C₄×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₀₁	C₂×#41	1	2	yes	—
151	C₂×C₄×C₁₀₁	C₂×#41	1	2	yes	—
152	C₈×C₁₀₁	—	2	2	no	—
153	C₈×C₁₀₁	—	2	4	no	—
154	C₈×C₁₀₁	—	2	2	no	—
155	C₂²×C₁₀₁	—	4	8	no	—
156	C₂²×C₁₀₁	—	4	4	no	—
157	C₂²×C₁₀₁	—	8	4	no	—
158	C₂²×C₁₀₁	—	8	2	no	—
159	C₂²×C₁₀₁	—	8	2	no	—
160	C₂²×C₁₀₁	#525	1	2	yes	—
161	C₂²×C₁₀₁	C₂×#127	1	1	yes	characteristic
162	C₂²×C₁₀₁	#577	1	4	yes	—
163	C₄×C₁₀₁	—	2	4	no	—
164	C₄×C₁₀₁	—	4	4	no	—
165	C₄×C₁₀₁	—	4	4	no	—
166	C₄×C₁₀₁	—	8	2	no	—
167	C₄×C₁₀₁	—	8	2	no	—
168	C₄×C₁₀₁	#525	1	1	yes	characteristic
169	C₄×C₁₀₁	#525	1	2	yes	—
170	C₄×C₁₀₁	#525	1	1	yes	characteristic
171	#23813	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
172	C₂×C₁₀₁	—	8	4	no	—
173	C₂×C₁₀₁	#2397	1	1	yes	characteristic
174	C₂×C₁₀₁	#3125	1	4	yes	—
175	C₂×C₁₀₁	#3154	1	2	yes	—
176	C₂×#442	C₂×C₁₀₁	1	1	yes	characteristic
177	C₂×#441	C₂×C₁₀₁	1	1	yes	characteristic, complemented
178	C₂×C₄×SD₁₆	C₂×C₁₀₁	1	2	yes	complemented
179	#2326	C₂×C₁₀₁	1	2	yes	complemented
180	#2096	C₂×C₁₀₁	1	2	yes	complemented
181	#2094	C₂×C₁₀₁	1	2	yes	complemented
182	#2015	C₂×C₁₀₁	1	2	yes	complemented
183	#2012	C₂×C₁₀₁	1	2	yes	—
184	#1746	C₂×C₁₀₁	1	1	yes	characteristic, complemented
185	C₁₀₁	#23813	1	1	yes	characteristic, direct product factor, Sylow
186	C₂²×Q₁₆	C₂²×C₁₀₁	1	1	yes	characteristic
187	C₂²×SD₁₆	C₂²×C₁₀₁	1	2	yes	—
188	C₂²×D₈	C₂²×C₁₀₁	1	1	yes	characteristic
189	C₂×#124	C₂²×C₁₀₁	1	2	yes	—
190	C₂×C₄×Q₈	C₂²×C₁₀₁	1	2	yes	—
191	C₂×C₄×D₄	C₂²×C₁₀₁	1	2	yes	—
192	#442	—	2	4	no	—
193	#441	—	2	4	no	—
194	C₄×SD₁₆	—	2	8	no	—
195	C₂×#106	C₂²×C₁₀₁	1	1	yes	characteristic
196	C₂×#106	C₂²×C₁₀₁	1	2	yes	—
197	C₂×#106	C₂²×C₁₀₁	1	1	yes	characteristic
198	C₂×#103	C₂²×C₁₀₁	1	2	yes	—
199	C₂×#103	C₂²×C₁₀₁	1	2	yes	—
200	C₂×#102	C₂²×C₁₀₁	1	2	yes	—
201	C₂×#102	C₂²×C₁₀₁	1	2	yes	—
202	C₂×#97	C₂²×C₁₀₁	1	1	yes	characteristic
203	C₂×C₄×C₈	C₂²×C₁₀₁	1	1	yes	characteristic
204	#391	C₂²×C₁₀₁	1	2	yes	—
205	#390	C₂²×C₁₀₁	1	2	yes	—
206	#388	—	2	4	no	—
207	#385	—	2	4	no	—
208	#384	C₂²×C₁₀₁	1	2	yes	—
209	#376	C₂²×C₁₀₁	1	1	yes	characteristic
210	#336	C₂²×C₁₀₁	1	2	yes	—
211	#336	C₂²×C₁₀₁	1	2	yes	—
212	C₂²×Q₈	C₂³×C₁₀₁	1	2	yes	—
213	C₂²×D₄	C₂³×C₁₀₁	1	2	yes	—
214	C₂³×C₄	—	2	2	no	—
215	C₂×Q₁₆	—	2	4	no	—
216	C₂×Q₁₆	—	2	2	no	—
217	C₂×SD₁₆	—	2	4	no	—
218	C₂×SD₁₆	—	2	4	no	—
219	C₂×SD₁₆	—	2	4	no	—
220	C₂×D₈	—	2	4	no	—
221	C₂×D₈	—	2	2	no	—
222	C₂²×C₈	C₂³×C₁₀₁	1	1	yes	characteristic
223	C₂²×C₈	C₂³×C₁₀₁	1	2	yes	—
224	C₂²×C₈	C₂³×C₁₀₁	1	1	yes	characteristic
225	#124	—	2	4	no	—
226	#124	—	2	4	no	—
227	C₄×Q₈	—	2	4	no	—
228	C₄×Q₈	—	2	4	no	—
229	C₄×D₄	—	2	4	no	—
230	C₄×D₄	—	2	4	no	—
231	C₂×C₄⋊C₄	—	2	2	no	—
232	C₂×C₄⋊C₄	—	2	4	no	—
233	C₂×C₄⋊C₄	C₂³×C₁₀₁	1	2	yes	—
234	C₂×C₄⋊C₄	C₂³×C₁₀₁	1	2	yes	—
235	C₂×C₂²⋊C₄	—	2	4	no	—
236	C₂×C₂²⋊C₄	—	2	2	no	—
237	C₂×C₂²⋊C₄	—	2	4	no	—
238	C₂×C₄²	—	2	2	no	—
239	C₂×C₄²	C₂³×C₁₀₁	1	2	yes	—
240	C₂×C₄²	C₂³×C₁₀₁	1	1	yes	characteristic
241	#106	—	2	4	no	—
242	#106	—	2	2	no	—
243	#106	—	2	2	no	—
244	#103	—	2	4	no	—
245	#103	—	2	4	no	—
246	#102	—	2	4	no	—
247	#102	—	2	4	no	—
248	#97	D₄×C₁₀₁	1	4	yes	—
249	C₄×C₈	D₄×C₁₀₁	1	4	yes	—
250	#95	—	2	4	no	—
251	#95	D₄×C₁₀₁	1	4	yes	—
252	C₂⁴	—	2	2	no	—
253	C₂×Q₈	—	2	2	no	—
254	C₂×Q₈	—	2	2	no	—
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	2	2	no	—
257	C₂×Q₈	—	2	2	no	—
258	C₂×Q₈	#41×C₁₀₁	1	4	yes	—
259	C₂×D₄	—	2	2	no	—
260	C₂×D₄	—	2	2	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	2	no	—
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	#41×C₁₀₁	1	4	yes	—
265	C₂²×C₄	—	2	2	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	4	4	no	—
269	C₂²×C₄	—	8	4	no	—
270	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
271	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
272	C₂²×C₄	C₂⁴×C₁₀₁	1	1	yes	characteristic
273	Q₁₆	—	2	8	no	—
274	SD₁₆	—	2	16	no	—
275	D₈	—	2	8	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	C₂×D₄×C₁₀₁	1	4	yes	—
281	C₂×C₈	C₂×D₄×C₁₀₁	1	2	yes	—
282	C₂×C₈	C₂×D₄×C₁₀₁	1	2	yes	—
283	C₄⋊C₄	—	2	2	no	—
284	C₄⋊C₄	—	2	2	no	—
285	C₄⋊C₄	—	2	2	no	—
286	C₄⋊C₄	—	2	2	no	—
287	C₄⋊C₄	—	4	4	no	—
288	C₄⋊C₄	—	8	4	no	—
289	C₂²⋊C₄	—	2	16	no	—
290	C₂²⋊C₄	—	4	4	no	—
291	C₂²⋊C₄	—	8	4	no	—
292	C₄²	—	2	2	no	—
293	C₄²	—	2	2	no	—
294	C₄²	—	4	4	no	—
295	C₄²	C₂×D₄×C₁₀₁	1	2	yes	—
296	C₄²	C₂×D₄×C₁₀₁	1	2	yes	—
297	C₂³	—	2	4	no	—
298	C₂³	—	4	2	no	—
299	C₂³	—	4	2	no	—
300	C₂³	—	4	4	no	—
301	C₂³	—	4	4	no	—
302	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
303	Q₈	—	2	4	no	—
304	Q₈	—	2	4	no	—
305	Q₈	—	4	2	no	—
306	Q₈	—	4	2	no	—
307	D₄	—	2	4	no	—
308	D₄	—	2	4	no	—
309	D₄	—	4	2	no	—
310	D₄	—	4	2	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	4	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	—	4	4	no	—
322	C₂×C₄	—	8	8	no	—
323	C₂×C₄	#127×C₁₀₁	1	4	yes	—
324	C₂×C₄	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
325	C₂×C₄	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
326	C₂×C₄	C₂×#41×C₁₀₁	1	2	yes	—
327	C₂×C₄	C₂×#41×C₁₀₁	1	2	yes	—
328	C₈	—	2	2	no	—
329	C₈	—	2	4	no	—
330	C₈	—	2	2	no	—
331	C₂²	—	4	4	no	—
332	C₂²	—	4	8	no	—
333	C₂²	—	8	4	no	—
334	C₂²	—	8	2	no	—
335	C₂²	—	8	2	no	—
336	C₂²	#525×C₁₀₁	1	2	yes	—
337	C₂²	C₂×#127×C₁₀₁	1	1	yes	characteristic
338	C₂²	#577×C₁₀₁	1	4	yes	—
339	C₄	—	2	4	no	—
340	C₄	—	4	4	no	—
341	C₄	—	4	4	no	—
342	C₄	—	8	2	no	—
343	C₄	—	8	2	no	—
344	C₄	#525×C₁₀₁	1	1	yes	characteristic
345	C₄	#525×C₁₀₁	1	2	yes	—
346	C₄	#525×C₁₀₁	1	1	yes	characteristic
347	C₂	—	8	4	no	—
348	C₂	C₁₀₁×#2397	1	1	yes	characteristic
349	C₂	C₁₀₁×#3125	1	4	yes	—
350	C₂	C₁₀₁×#3154	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₀₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₀₁
prime radical	C₂²×D₈×C₁₀₁	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₀₁ ◁ #376×C₁₀₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×#441×C₁₀₁	C₂	semidirect
3. C₂×C₄×SD₁₆×C₁₀₁	C₂	semidirect
4. C₁₀₁×#2326	C₂	semidirect
5. C₁₀₁×#2096	C₂	semidirect
6. C₁₀₁×#2094	C₂	semidirect
7. C₁₀₁×#2015	C₂	semidirect
9. C₁₀₁×#1746	C₂	semidirect
171. #23813	C₁₀₁	direct (N × H)
177. C₂×#441	C₂×C₁₀₁	semidirect
178. C₂×C₄×SD₁₆	C₂×C₁₀₁	semidirect
179. #2326	C₂×C₁₀₁	semidirect
180. #2096	C₂×C₁₀₁	semidirect
181. #2094	C₂×C₁₀₁	semidirect
182. #2015	C₂×C₁₀₁	semidirect
184. #1746	C₂×C₁₀₁	semidirect
185. C₁₀₁	#23813	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#442×C₁₀₁	2
C₂×#441×C₁₀₁	2
C₂×C₄×SD₁₆×C₁₀₁	2
C₁₀₁×#2326	2
C₁₀₁×#2096	2
C₁₀₁×#2094	2
C₁₀₁×#2015	2
C₁₀₁×#2012	2
C₁₀₁×#1746	2
#23813	101

Subgroups — C101×#23813 #38805964

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#23813 #38805964