Subgroups — C₁₀₁×#15229 #38797380

Order 25856.

1918 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#125×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#390×C₁₀₁	C₂	1	2	yes	maximal
3	C₂×#390×C₁₀₁	C₂	1	1	yes	maximal, characteristic
4	C₁₀₁×#1439	C₂	1	8	yes	maximal, complemented
5	C₁₀₁×C₄⋊#95	C₂	1	2	yes	maximal, complemented
6	C₄×#95×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂³×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
8	C₂×#125×C₁₀₁	—	2	8	no	—
9	C₂×#125×C₁₀₁	—	2	4	no	—
10	C₂²×C₄⋊C₄×C₁₀₁	C₂²	1	4	yes	—
11	C₂²×C₄⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
12	C₂²×C₄⋊C₄×C₁₀₁	C₂²	1	2	yes	—
13	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	8	yes	—
14	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	4	yes	—
15	C₂²×C₄²×C₁₀₁	C₂²	1	2	yes	—
16	C₂²×C₄²×C₁₀₁	C₂²	1	1	yes	characteristic
17	#390×C₁₀₁	—	2	8	no	—
18	#390×C₁₀₁	—	2	4	no	—
19	C₂×#95×C₁₀₁	C₂²	1	4	yes	—
20	C₂×#95×C₁₀₁	C₂²	1	8	yes	—
21	C₂⁵×C₁₀₁	C₂³	1	2	yes	—
22	C₂²×D₄×C₁₀₁	—	2	4	no	—
23	C₂²×D₄×C₁₀₁	—	2	2	no	—
24	C₂²×D₄×C₁₀₁	—	2	2	no	—
25	C₂²×D₄×C₁₀₁	—	2	4	no	—
26	C₂²×D₄×C₁₀₁	Q₈	1	4	yes	—
27	C₂³×C₄×C₁₀₁	C₂³	1	2	yes	—
28	C₂³×C₄×C₁₀₁	C₂³	1	2	yes	—
29	C₂³×C₄×C₁₀₁	C₂³	1	4	yes	—
30	C₂³×C₄×C₁₀₁	C₂³	1	4	yes	—
31	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
32	#125×C₁₀₁	—	2	32	no	—
33	C₂×C₄⋊C₄×C₁₀₁	—	2	8	no	—
34	C₂×C₄⋊C₄×C₁₀₁	—	2	8	no	—
35	C₂×C₄⋊C₄×C₁₀₁	—	2	8	no	—
36	C₂×C₄⋊C₄×C₁₀₁	—	2	4	no	—
37	C₂×C₄⋊C₄×C₁₀₁	—	2	4	no	—
38	C₂×C₄⋊C₄×C₁₀₁	—	2	2	no	—
39	C₂×C₄⋊C₄×C₁₀₁	—	2	4	no	—
40	C₂×C₄⋊C₄×C₁₀₁	D₄	1	8	yes	—
41	C₂×C₂²⋊C₄×C₁₀₁	—	2	16	no	—
42	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
43	C₂×C₂²⋊C₄×C₁₀₁	—	2	16	no	—
44	C₂×C₂²⋊C₄×C₁₀₁	—	4	8	no	—
45	C₂×C₂²⋊C₄×C₁₀₁	—	4	8	no	—
46	C₂×C₄²×C₁₀₁	—	2	4	no	—
47	C₂×C₄²×C₁₀₁	—	2	4	no	—
48	C₂×C₄²×C₁₀₁	—	2	4	no	—
49	C₂×C₄²×C₁₀₁	—	2	4	no	—
50	C₂×C₄²×C₁₀₁	D₄	1	4	yes	—
51	#95×C₁₀₁	—	2	8	no	—
52	#95×C₁₀₁	—	4	8	no	—
53	C₂⁴×C₁₀₁	—	2	2	no	—
54	C₂⁴×C₁₀₁	—	2	4	no	—
55	C₂⁴×C₁₀₁	—	2	8	no	—
56	C₂⁴×C₁₀₁	—	2	4	no	—
57	C₂⁴×C₁₀₁	—	2	2	no	—
58	C₂⁴×C₁₀₁	—	2	8	no	—
59	C₂⁴×C₁₀₁	C₂×Q₈	1	4	yes	—
60	C₂⁴×C₁₀₁	C₂⁴	1	1	yes	characteristic
61	C₂×D₄×C₁₀₁	—	2	8	no	—
62	C₂×D₄×C₁₀₁	—	2	16	no	—
63	C₂×D₄×C₁₀₁	—	4	4	no	—
64	C₂×D₄×C₁₀₁	—	4	8	no	—
65	C₂×D₄×C₁₀₁	—	4	4	no	—
66	C₂²×C₄×C₁₀₁	—	2	4	no	—
67	C₂²×C₄×C₁₀₁	—	2	2	no	—
68	C₂²×C₄×C₁₀₁	—	2	2	no	—
69	C₂²×C₄×C₁₀₁	—	2	4	no	—
70	C₂²×C₄×C₁₀₁	—	2	4	no	—
71	C₂²×C₄×C₁₀₁	—	2	4	no	—
72	C₂²×C₄×C₁₀₁	—	2	4	no	—
73	C₂²×C₄×C₁₀₁	—	2	4	no	—
74	C₂²×C₄×C₁₀₁	—	2	4	no	—
75	C₂²×C₄×C₁₀₁	—	2	8	no	—
76	C₂²×C₄×C₁₀₁	—	2	4	no	—
77	C₂²×C₄×C₁₀₁	—	2	8	no	—
78	C₂²×C₄×C₁₀₁	—	2	4	no	—
79	C₂²×C₄×C₁₀₁	—	2	4	no	—
80	C₂²×C₄×C₁₀₁	—	2	2	no	—
81	C₂²×C₄×C₁₀₁	—	2	4	no	—
82	C₂²×C₄×C₁₀₁	—	2	8	no	—
83	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
84	C₂²×C₄×C₁₀₁	C₂×D₄	1	8	yes	—
85	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
86	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₁₀₁	C₂×Q₈	1	2	yes	—
88	C₂²×C₄×C₁₀₁	#41	1	8	yes	—
89	C₂²×C₄×C₁₀₁	#41	1	2	yes	—
90	C₂²×C₄×C₁₀₁	#41	1	4	yes	—
91	C₄⋊C₄×C₁₀₁	—	2	32	no	—
92	C₄⋊C₄×C₁₀₁	—	2	16	no	—
93	C₄⋊C₄×C₁₀₁	—	4	4	no	—
94	C₂²⋊C₄×C₁₀₁	—	4	32	no	—
95	C₂²⋊C₄×C₁₀₁	—	4	16	no	—
96	C₄²×C₁₀₁	—	2	8	no	—
97	C₄²×C₁₀₁	—	4	8	no	—
98	C₂³×C₁₀₁	—	2	4	no	—
99	C₂³×C₁₀₁	—	2	8	no	—
100	C₂³×C₁₀₁	—	2	16	no	—
101	C₂³×C₁₀₁	—	4	2	no	—
102	C₂³×C₁₀₁	—	4	2	no	—
103	C₂³×C₁₀₁	—	4	4	no	—
104	C₂³×C₁₀₁	—	4	8	no	—
105	C₂³×C₁₀₁	—	4	4	no	—
106	C₂³×C₁₀₁	—	4	4	no	—
107	C₂³×C₁₀₁	—	4	8	no	—
108	C₂³×C₁₀₁	—	4	8	no	—
109	C₂³×C₁₀₁	—	4	8	no	—
110	C₂³×C₁₀₁	—	4	8	no	—
111	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
112	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
113	C₂³×C₁₀₁	C₂²×Q₈	1	1	yes	characteristic
114	C₂³×C₁₀₁	C₂×#41	1	2	yes	—
115	C₂³×C₁₀₁	C₂×#41	1	1	yes	characteristic
116	C₂³×C₁₀₁	C₂×#41	1	4	yes	—
117	C₂³×C₁₀₁	H(5,𝔽₂)	1	4	yes	—
118	D₄×C₁₀₁	—	4	16	no	—
119	C₂×C₄×C₁₀₁	—	2	4	no	—
120	C₂×C₄×C₁₀₁	—	2	8	no	—
121	C₂×C₄×C₁₀₁	—	2	8	no	—
122	C₂×C₄×C₁₀₁	—	2	4	no	—
123	C₂×C₄×C₁₀₁	—	2	4	no	—
124	C₂×C₄×C₁₀₁	—	2	8	no	—
125	C₂×C₄×C₁₀₁	—	2	16	no	—
126	C₂×C₄×C₁₀₁	—	2	8	no	—
127	C₂×C₄×C₁₀₁	—	4	4	no	—
128	C₂×C₄×C₁₀₁	—	4	4	no	—
129	C₂×C₄×C₁₀₁	—	4	4	no	—
130	C₂×C₄×C₁₀₁	—	4	4	no	—
131	C₂×C₄×C₁₀₁	—	4	4	no	—
132	C₂×C₄×C₁₀₁	—	4	4	no	—
133	C₂×C₄×C₁₀₁	—	4	8	no	—
134	C₂×C₄×C₁₀₁	—	4	4	no	—
135	C₂×C₄×C₁₀₁	—	4	4	no	—
136	C₂×C₄×C₁₀₁	—	4	2	no	—
137	C₂×C₄×C₁₀₁	—	4	4	no	—
138	C₂×C₄×C₁₀₁	—	4	8	no	—
139	C₂×C₄×C₁₀₁	#120	1	4	yes	—
140	C₂×C₄×C₁₀₁	C₂²⋊Q₈	1	4	yes	—
141	C₂×C₄×C₁₀₁	C₂²⋊Q₈	1	8	yes	—
142	C₂×C₄×C₁₀₁	#124	1	8	yes	—
143	C₂×C₄×C₁₀₁	#124	1	4	yes	—
144	C₂²×C₁₀₁	—	4	8	no	—
145	C₂²×C₁₀₁	—	4	4	no	—
146	C₂²×C₁₀₁	—	4	16	no	—
147	C₂²×C₁₀₁	—	8	2	no	—
148	C₂²×C₁₀₁	—	8	2	no	—
149	C₂²×C₁₀₁	—	8	4	no	—
150	C₂²×C₁₀₁	—	8	8	no	—
151	C₂²×C₁₀₁	C₂×#120	1	1	yes	characteristic
152	C₂²×C₁₀₁	C₂×C₂²⋊Q₈	1	1	yes	characteristic
153	C₂²×C₁₀₁	C₂×C₂²⋊Q₈	1	2	yes	—
154	C₂²×C₁₀₁	C₂×#124	1	1	yes	characteristic
155	C₂²×C₁₀₁	C₂×#124	1	2	yes	—
156	C₂²×C₁₀₁	#529	1	4	yes	—
157	C₂²×C₁₀₁	#532	1	2	yes	—
158	C₂²×C₁₀₁	#535	1	2	yes	—
159	C₂²×C₁₀₁	#540	1	4	yes	—
160	C₂²×C₁₀₁	#546	1	4	yes	—
161	C₂²×C₁₀₁	#550	1	4	yes	—
162	C₂²×C₁₀₁	#553	1	4	yes	—
163	C₂²×C₁₀₁	#554	1	4	yes	—
164	C₄×C₁₀₁	—	4	4	no	—
165	C₄×C₁₀₁	—	4	8	no	—
166	C₄×C₁₀₁	—	4	8	no	—
167	C₄×C₁₀₁	—	8	2	no	—
168	C₄×C₁₀₁	#393	1	8	yes	—
169	#15229	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
170	C₂×C₁₀₁	—	8	4	no	—
171	C₂×C₁₀₁	C₂×#393	1	1	yes	characteristic
172	C₂×C₁₀₁	#2431	1	2	yes	—
173	C₂×C₁₀₁	#2454	1	4	yes	—
174	C₂×C₁₀₁	#2490	1	4	yes	—
175	C₂×C₁₀₁	#2566	1	2	yes	—
176	C₂×C₁₀₁	#2641	1	1	yes	characteristic
177	C₂×C₁₀₁	#2861	1	1	yes	characteristic
178	C₂²×#125	C₂×C₁₀₁	1	1	yes	characteristic, complemented
179	C₂×#390	C₂×C₁₀₁	1	2	yes	—
180	C₂×#390	C₂×C₁₀₁	1	1	yes	characteristic
181	#1439	C₂×C₁₀₁	1	8	yes	complemented
182	C₄⋊#95	C₂×C₁₀₁	1	2	yes	complemented
183	C₄×#95	C₂×C₁₀₁	1	1	yes	characteristic, complemented
184	C₁₀₁	#15229	1	1	yes	characteristic, direct product factor, Sylow
185	C₂³×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
186	C₂×#125	—	2	8	no	—
187	C₂×#125	—	2	4	no	—
188	C₂²×C₄⋊C₄	C₂²×C₁₀₁	1	4	yes	—
189	C₂²×C₄⋊C₄	C₂²×C₁₀₁	1	1	yes	characteristic
190	C₂²×C₄⋊C₄	C₂²×C₁₀₁	1	2	yes	—
191	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	8	yes	—
192	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	4	yes	—
193	C₂²×C₄²	C₂²×C₁₀₁	1	2	yes	—
194	C₂²×C₄²	C₂²×C₁₀₁	1	1	yes	characteristic
195	#390	—	2	8	no	—
196	#390	—	2	4	no	—
197	C₂×#95	C₂²×C₁₀₁	1	4	yes	—
198	C₂×#95	C₂²×C₁₀₁	1	8	yes	—
199	C₂⁵	C₂³×C₁₀₁	1	2	yes	—
200	C₂²×D₄	—	2	4	no	—
201	C₂²×D₄	—	2	2	no	—
202	C₂²×D₄	—	2	2	no	—
203	C₂²×D₄	—	2	4	no	—
204	C₂²×D₄	Q₈×C₁₀₁	1	4	yes	—
205	C₂³×C₄	C₂³×C₁₀₁	1	2	yes	—
206	C₂³×C₄	C₂³×C₁₀₁	1	4	yes	—
207	C₂³×C₄	C₂³×C₁₀₁	1	2	yes	—
208	C₂³×C₄	C₂³×C₁₀₁	1	4	yes	—
209	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
210	#125	—	2	32	no	—
211	C₂×C₄⋊C₄	—	2	8	no	—
212	C₂×C₄⋊C₄	—	2	8	no	—
213	C₂×C₄⋊C₄	—	2	8	no	—
214	C₂×C₄⋊C₄	—	2	4	no	—
215	C₂×C₄⋊C₄	—	2	4	no	—
216	C₂×C₄⋊C₄	—	2	2	no	—
217	C₂×C₄⋊C₄	—	2	4	no	—
218	C₂×C₄⋊C₄	D₄×C₁₀₁	1	8	yes	—
219	C₂×C₂²⋊C₄	—	2	16	no	—
220	C₂×C₂²⋊C₄	—	2	8	no	—
221	C₂×C₂²⋊C₄	—	2	16	no	—
222	C₂×C₂²⋊C₄	—	4	8	no	—
223	C₂×C₂²⋊C₄	—	4	8	no	—
224	C₂×C₄²	—	2	4	no	—
225	C₂×C₄²	—	2	4	no	—
226	C₂×C₄²	—	2	4	no	—
227	C₂×C₄²	—	2	4	no	—
228	C₂×C₄²	D₄×C₁₀₁	1	4	yes	—
229	#95	—	2	8	no	—
230	#95	—	4	8	no	—
231	C₂⁴	—	2	2	no	—
232	C₂⁴	—	2	4	no	—
233	C₂⁴	—	2	8	no	—
234	C₂⁴	—	2	4	no	—
235	C₂⁴	—	2	2	no	—
236	C₂⁴	—	2	8	no	—
237	C₂⁴	C₂×Q₈×C₁₀₁	1	4	yes	—
238	C₂⁴	C₂⁴×C₁₀₁	1	1	yes	characteristic
239	C₂×D₄	—	2	16	no	—
240	C₂×D₄	—	2	8	no	—
241	C₂×D₄	—	4	4	no	—
242	C₂×D₄	—	4	8	no	—
243	C₂×D₄	—	4	4	no	—
244	C₂²×C₄	—	2	4	no	—
245	C₂²×C₄	—	2	2	no	—
246	C₂²×C₄	—	2	2	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	4	no	—
251	C₂²×C₄	—	2	4	no	—
252	C₂²×C₄	—	2	4	no	—
253	C₂²×C₄	—	2	8	no	—
254	C₂²×C₄	—	2	4	no	—
255	C₂²×C₄	—	2	8	no	—
256	C₂²×C₄	—	2	4	no	—
257	C₂²×C₄	—	2	4	no	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	4	no	—
260	C₂²×C₄	—	2	8	no	—
261	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
262	C₂²×C₄	C₂×D₄×C₁₀₁	1	8	yes	—
263	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
264	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
265	C₂²×C₄	C₂×Q₈×C₁₀₁	1	2	yes	—
266	C₂²×C₄	#41×C₁₀₁	1	8	yes	—
267	C₂²×C₄	#41×C₁₀₁	1	2	yes	—
268	C₂²×C₄	#41×C₁₀₁	1	4	yes	—
269	C₄⋊C₄	—	2	32	no	—
270	C₄⋊C₄	—	2	16	no	—
271	C₄⋊C₄	—	4	4	no	—
272	C₂²⋊C₄	—	4	32	no	—
273	C₂²⋊C₄	—	4	16	no	—
274	C₄²	—	2	8	no	—
275	C₄²	—	4	8	no	—
276	C₂³	—	2	8	no	—
277	C₂³	—	2	4	no	—
278	C₂³	—	2	16	no	—
279	C₂³	—	4	2	no	—
280	C₂³	—	4	4	no	—
281	C₂³	—	4	2	no	—
282	C₂³	—	4	8	no	—
283	C₂³	—	4	4	no	—
284	C₂³	—	4	4	no	—
285	C₂³	—	4	8	no	—
286	C₂³	—	4	8	no	—
287	C₂³	—	4	8	no	—
288	C₂³	—	4	8	no	—
289	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
290	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
291	C₂³	C₂²×Q₈×C₁₀₁	1	1	yes	characteristic
292	C₂³	C₂×#41×C₁₀₁	1	2	yes	—
293	C₂³	C₂×#41×C₁₀₁	1	1	yes	characteristic
294	C₂³	C₂×#41×C₁₀₁	1	4	yes	—
295	C₂³	H(5,𝔽₂)×C₁₀₁	1	4	yes	—
296	D₄	—	4	16	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	8	no	—
299	C₂×C₄	—	2	8	no	—
300	C₂×C₄	—	2	4	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	8	no	—
303	C₂×C₄	—	2	16	no	—
304	C₂×C₄	—	2	8	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	4	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	—	4	4	no	—
311	C₂×C₄	—	4	8	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	4	no	—
316	C₂×C₄	—	4	8	no	—
317	C₂×C₄	#120×C₁₀₁	1	4	yes	—
318	C₂×C₄	C₂²⋊Q₈×C₁₀₁	1	8	yes	—
319	C₂×C₄	C₂²⋊Q₈×C₁₀₁	1	4	yes	—
320	C₂×C₄	#124×C₁₀₁	1	8	yes	—
321	C₂×C₄	#124×C₁₀₁	1	4	yes	—
322	C₂²	—	4	16	no	—
323	C₂²	—	4	8	no	—
324	C₂²	—	4	4	no	—
325	C₂²	—	8	4	no	—
326	C₂²	—	8	8	no	—
327	C₂²	—	8	2	no	—
328	C₂²	—	8	2	no	—
329	C₂²	C₂×#120×C₁₀₁	1	1	yes	characteristic
330	C₂²	C₂×C₂²⋊Q₈×C₁₀₁	1	2	yes	—
331	C₂²	C₂×C₂²⋊Q₈×C₁₀₁	1	1	yes	characteristic
332	C₂²	C₂×#124×C₁₀₁	1	2	yes	—
333	C₂²	C₂×#124×C₁₀₁	1	1	yes	characteristic
334	C₂²	#529×C₁₀₁	1	4	yes	—
335	C₂²	#532×C₁₀₁	1	2	yes	—
336	C₂²	#535×C₁₀₁	1	2	yes	—
337	C₂²	#540×C₁₀₁	1	4	yes	—
338	C₂²	#546×C₁₀₁	1	4	yes	—
339	C₂²	#550×C₁₀₁	1	4	yes	—
340	C₂²	#553×C₁₀₁	1	4	yes	—
341	C₂²	#554×C₁₀₁	1	4	yes	—
342	C₄	—	4	4	no	—
343	C₄	—	4	8	no	—
344	C₄	—	4	8	no	—
345	C₄	—	8	2	no	—
346	C₄	#393×C₁₀₁	1	8	yes	—
347	C₂	—	8	4	no	—
348	C₂	C₂×#393×C₁₀₁	1	1	yes	characteristic
349	C₂	C₁₀₁×#2431	1	2	yes	—
350	C₂	C₁₀₁×#2454	1	4	yes	—
351	C₂	C₁₀₁×#2490	1	4	yes	—
352	C₂	C₁₀₁×#2566	1	2	yes	—
353	C₂	C₁₀₁×#2641	1	1	yes	characteristic
354	C₂	C₁₀₁×#2861	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂²×#125×C₁₀₁	C₂	semidirect
4. C₁₀₁×#1439	C₂	semidirect
5. C₁₀₁×C₄⋊#95	C₂	semidirect
6. C₄×#95×C₁₀₁	C₂	semidirect
169. #15229	C₁₀₁	direct (N × H)
178. C₂²×#125	C₂×C₁₀₁	semidirect
181. #1439	C₂×C₁₀₁	semidirect
182. C₄⋊#95	C₂×C₁₀₁	semidirect
183. C₄×#95	C₂×C₁₀₁	semidirect
184. C₁₀₁	#15229	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#125×C₁₀₁	2
C₂×#390×C₁₀₁	2
C₁₀₁×#1439	2
C₁₀₁×C₄⋊#95	2
C₄×#95×C₁₀₁	2
#15229	101

Subgroups — C101×#15229 #38797380

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#15229 #38797380