Subgroups — C₁₀₁×#23598 #38805749

Order 25856.

1200 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₀₁×#3459	C₂	1	1	yes	maximal, characteristic
2	C₁₀₁×#2322	C₂	1	3	yes	maximal, complemented
3	C₁₀₁×#2062	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₀₁×#2044	C₂	1	3	yes	maximal, complemented
5	C₁₀₁×#2030	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₀₁×#2022	C₂	1	3	yes	maximal, complemented
7	C₄×#99×C₁₀₁	C₂	1	3	yes	maximal, complemented
8	#543×C₁₀₁	C₂²	1	1	yes	characteristic
9	#539×C₁₀₁	—	2	3	no	—
10	#538×C₁₀₁	—	2	3	no	—
11	#534×C₁₀₁	C₂²	1	3	yes	—
12	#529×C₁₀₁	—	2	3	no	—
13	#525×C₁₀₁	—	2	3	no	—
14	C₂×#123×C₁₀₁	C₂²	1	3	yes	—
15	C₂×C₄×D₄×C₁₀₁	C₂²	1	3	yes	—
16	C₂²×C₄⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
17	C₂×#99×C₁₀₁	C₂²	1	6	yes	—
18	#389×C₁₀₁	—	2	3	no	—
19	#388×C₁₀₁	—	2	3	no	—
20	#387×C₁₀₁	—	2	3	no	—
21	#386×C₁₀₁	C₂²	1	3	yes	—
22	#385×C₁₀₁	—	2	3	no	—
23	#385×C₁₀₁	C₂²	1	3	yes	—
24	#381×C₁₀₁	C₂²	1	3	yes	—
25	C₄×C₂²⋊C₄×C₁₀₁	C₂²	1	3	yes	—
26	#342×C₁₀₁	C₂²	1	3	yes	—
27	#342×C₁₀₁	C₂²	1	3	yes	—
28	C₂×#41×C₁₀₁	—	2	1	no	—
29	C₂²×D₄×C₁₀₁	C₂³	1	3	yes	—
30	C₂³×C₄×C₁₀₁	D₄	1	3	yes	—
31	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
32	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
33	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
34	#126×C₁₀₁	—	2	6	no	—
35	#125×C₁₀₁	—	2	3	no	—
36	#124×C₁₀₁	—	2	3	no	—
37	#123×C₁₀₁	—	2	6	no	—
38	#123×C₁₀₁	—	2	6	no	—
39	#123×C₁₀₁	—	2	6	no	—
40	#123×C₁₀₁	—	2	6	no	—
41	C₂²⋊Q₈×C₁₀₁	—	2	3	no	—
42	C₂²⋊Q₈×C₁₀₁	—	2	3	no	—
43	C₂²⋊Q₈×C₁₀₁	—	2	3	no	—
44	#121×C₁₀₁	—	2	3	no	—
45	#121×C₁₀₁	—	2	3	no	—
46	#121×C₁₀₁	—	2	3	no	—
47	#120×C₁₀₁	—	2	6	no	—
48	C₄×Q₈×C₁₀₁	—	2	1	no	—
49	C₄×D₄×C₁₀₁	—	2	3	no	—
50	C₄×D₄×C₁₀₁	—	2	6	no	—
51	C₄×D₄×C₁₀₁	—	2	6	no	—
52	#117×C₁₀₁	—	2	3	no	—
53	C₂×C₄⋊C₄×C₁₀₁	—	2	3	no	—
54	C₂×C₄⋊C₄×C₁₀₁	—	2	3	no	—
55	C₂×C₄⋊C₄×C₁₀₁	—	2	3	no	—
56	C₂×C₄⋊C₄×C₁₀₁	—	2	3	no	—
57	C₂×C₄⋊C₄×C₁₀₁	D₄	1	3	yes	—
58	C₂×C₂²⋊C₄×C₁₀₁	—	2	3	no	—
59	C₂×C₂²⋊C₄×C₁₀₁	—	2	3	no	—
60	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	3	yes	—
61	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	3	yes	—
62	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	3	yes	—
63	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	3	yes	—
64	C₂×C₄²×C₁₀₁	—	2	3	no	—
65	C₂×C₄²×C₁₀₁	D₄	1	3	yes	—
66	#99×C₁₀₁	—	2	12	no	—
67	#95×C₁₀₁	—	2	3	no	—
68	#95×C₁₀₁	—	2	3	no	—
69	#95×C₁₀₁	—	2	3	no	—
70	#95×C₁₀₁	—	2	3	no	—
71	#95×C₁₀₁	—	2	3	no	—
72	C₂⁴×C₁₀₁	C₂×D₄	1	3	yes	—
73	C₂⁴×C₁₀₁	C₂⁴	1	1	yes	characteristic
74	#41×C₁₀₁	—	8	2	no	—
75	C₂×Q₈×C₁₀₁	—	2	1	no	—
76	C₂×Q₈×C₁₀₁	—	2	1	no	—
77	C₂×D₄×C₁₀₁	—	2	6	no	—
78	C₂×D₄×C₁₀₁	—	2	6	no	—
79	C₂×D₄×C₁₀₁	—	2	3	no	—
80	C₂×D₄×C₁₀₁	—	2	3	no	—
81	C₂×D₄×C₁₀₁	—	2	3	no	—
82	C₂×D₄×C₁₀₁	—	2	3	no	—
83	C₂²×C₄×C₁₀₁	—	2	3	no	—
84	C₂²×C₄×C₁₀₁	—	2	3	no	—
85	C₂²×C₄×C₁₀₁	—	2	3	no	—
86	C₂²×C₄×C₁₀₁	—	2	3	no	—
87	C₂²×C₄×C₁₀₁	—	2	3	no	—
88	C₂²×C₄×C₁₀₁	—	2	3	no	—
89	C₂²×C₄×C₁₀₁	—	2	3	no	—
90	C₂²×C₄×C₁₀₁	—	8	1	no	—
91	C₂²×C₄×C₁₀₁	—	8	1	no	—
92	C₂²×C₄×C₁₀₁	—	8	3	no	—
93	C₂²×C₄×C₁₀₁	C₂×D₄	1	3	yes	—
94	C₂²×C₄×C₁₀₁	C₂×D₄	1	3	yes	—
95	C₂²×C₄×C₁₀₁	C₂×D₄	1	3	yes	—
96	C₂²×C₄×C₁₀₁	C₂×D₄	1	3	yes	—
97	C₂²×C₄×C₁₀₁	C₂×D₄	1	3	yes	—
98	C₂²×C₄×C₁₀₁	#41	1	2	yes	complemented
99	C₄⋊C₄×C₁₀₁	—	2	12	no	—
100	C₄⋊C₄×C₁₀₁	—	2	3	no	—
101	C₄⋊C₄×C₁₀₁	—	2	3	no	—
102	C₄⋊C₄×C₁₀₁	—	2	3	no	—
103	C₄⋊C₄×C₁₀₁	—	2	3	no	—
104	C₄⋊C₄×C₁₀₁	—	2	6	no	—
105	C₄⋊C₄×C₁₀₁	—	4	1	no	—
106	C₄⋊C₄×C₁₀₁	—	4	3	no	—
107	C₄⋊C₄×C₁₀₁	—	8	3	no	—
108	C₂²⋊C₄×C₁₀₁	—	2	12	no	—
109	C₂²⋊C₄×C₁₀₁	—	2	6	no	—
110	C₂²⋊C₄×C₁₀₁	—	2	6	no	—
111	C₂²⋊C₄×C₁₀₁	—	2	6	no	—
112	C₂²⋊C₄×C₁₀₁	—	2	3	no	—
113	C₂²⋊C₄×C₁₀₁	—	2	6	no	—
114	C₂²⋊C₄×C₁₀₁	—	2	6	no	—
115	C₂²⋊C₄×C₁₀₁	—	8	3	no	—
116	C₂²⋊C₄×C₁₀₁	#41	1	6	yes	complemented
117	C₄²×C₁₀₁	—	2	3	no	—
118	C₄²×C₁₀₁	—	2	3	no	—
119	C₄²×C₁₀₁	—	8	3	no	—
120	C₂³×C₁₀₁	—	2	3	no	—
121	C₂³×C₁₀₁	—	2	3	no	—
122	C₂³×C₁₀₁	—	2	3	no	—
123	C₂³×C₁₀₁	—	4	1	no	—
124	C₂³×C₁₀₁	—	4	1	no	—
125	C₂³×C₁₀₁	—	4	3	no	—
126	C₂³×C₁₀₁	—	4	3	no	—
127	C₂³×C₁₀₁	C₂²×D₄	1	3	yes	—
128	C₂³×C₁₀₁	C₂×#41	1	1	yes	characteristic
129	C₂³×C₁₀₁	C₂×#41	1	3	yes	—
130	Q₈×C₁₀₁	—	8	1	no	—
131	Q₈×C₁₀₁	—	8	1	no	—
132	D₄×C₁₀₁	—	4	6	no	—
133	D₄×C₁₀₁	—	4	6	no	—
134	D₄×C₁₀₁	—	8	3	no	—
135	D₄×C₁₀₁	—	8	3	no	—
136	C₂×C₄×C₁₀₁	—	2	3	no	—
137	C₂×C₄×C₁₀₁	—	2	3	no	—
138	C₂×C₄×C₁₀₁	—	2	3	no	—
139	C₂×C₄×C₁₀₁	—	2	6	no	—
140	C₂×C₄×C₁₀₁	—	2	6	no	—
141	C₂×C₄×C₁₀₁	—	2	3	no	—
142	C₂×C₄×C₁₀₁	—	2	3	no	—
143	C₂×C₄×C₁₀₁	—	4	3	no	—
144	C₂×C₄×C₁₀₁	—	4	3	no	—
145	C₂×C₄×C₁₀₁	—	4	6	no	—
146	C₂×C₄×C₁₀₁	—	4	3	no	—
147	C₂×C₄×C₁₀₁	—	4	3	no	—
148	C₂×C₄×C₁₀₁	—	4	1	no	—
149	C₂×C₄×C₁₀₁	—	4	3	no	—
150	C₂×C₄×C₁₀₁	—	4	3	no	—
151	C₂×C₄×C₁₀₁	—	4	3	no	—
152	C₂×C₄×C₁₀₁	—	4	3	no	—
153	C₂×C₄×C₁₀₁	—	4	3	no	—
154	C₂×C₄×C₁₀₁	—	4	3	no	—
155	C₂×C₄×C₁₀₁	—	4	3	no	—
156	C₂×C₄×C₁₀₁	—	4	1	no	—
157	C₂×C₄×C₁₀₁	—	4	3	no	—
158	C₂×C₄×C₁₀₁	—	8	3	no	—
159	C₂×C₄×C₁₀₁	#120	1	1	yes	characteristic
160	C₂×C₄×C₁₀₁	#120	1	3	yes	—
161	C₂²×C₁₀₁	—	2	3	no	—
162	C₂²×C₁₀₁	—	2	3	no	—
163	C₂²×C₁₀₁	—	4	1	no	—
164	C₂²×C₁₀₁	—	4	3	no	—
165	C₂²×C₁₀₁	—	4	6	no	—
166	C₂²×C₁₀₁	—	4	3	no	—
167	C₂²×C₁₀₁	—	4	3	no	—
168	C₂²×C₁₀₁	—	4	3	no	—
169	C₂²×C₁₀₁	—	8	3	no	—
170	C₂²×C₁₀₁	C₂×#120	1	1	yes	characteristic
171	C₂²×C₁₀₁	#525	1	3	yes	—
172	C₂²×C₁₀₁	#532	1	3	yes	—
173	C₄×C₁₀₁	—	2	1	no	—
174	C₄×C₁₀₁	—	2	3	no	—
175	C₄×C₁₀₁	—	4	6	no	—
176	C₄×C₁₀₁	—	4	2	no	—
177	C₄×C₁₀₁	—	4	3	no	—
178	C₄×C₁₀₁	—	4	3	no	—
179	C₄×C₁₀₁	—	4	3	no	—
180	C₄×C₁₀₁	—	8	3	no	—
181	C₄×C₁₀₁	—	8	1	no	—
182	#23598	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
183	C₂×C₁₀₁	—	2	3	no	—
184	C₂×C₁₀₁	—	2	3	no	—
185	C₂×C₁₀₁	—	8	3	no	—
186	C₂×C₁₀₁	#2388	1	1	yes	characteristic
187	C₂×C₁₀₁	#3026	1	1	yes	characteristic
188	C₂×C₁₀₁	#3028	1	1	yes	characteristic
189	#3459	C₂×C₁₀₁	1	1	yes	characteristic
190	#2322	C₂×C₁₀₁	1	3	yes	complemented
191	#2062	C₂×C₁₀₁	1	1	yes	characteristic, complemented
192	#2044	C₂×C₁₀₁	1	3	yes	complemented
193	#2030	C₂×C₁₀₁	1	1	yes	characteristic, complemented
194	#2022	C₂×C₁₀₁	1	3	yes	complemented
195	C₄×#99	C₂×C₁₀₁	1	3	yes	complemented
196	C₁₀₁	#23598	1	1	yes	characteristic, direct product factor, Sylow
197	#543	C₂²×C₁₀₁	1	1	yes	characteristic
198	#539	—	2	3	no	—
199	#538	—	2	3	no	—
200	#534	C₂²×C₁₀₁	1	3	yes	—
201	#529	—	2	3	no	—
202	#525	—	2	3	no	—
203	C₂×#123	C₂²×C₁₀₁	1	3	yes	—
204	C₂×C₄×D₄	C₂²×C₁₀₁	1	3	yes	—
205	C₂²×C₄⋊C₄	C₂²×C₁₀₁	1	1	yes	characteristic
206	C₂×#99	C₂²×C₁₀₁	1	6	yes	—
207	#389	—	2	3	no	—
208	#388	—	2	3	no	—
209	#387	—	2	3	no	—
210	#386	C₂²×C₁₀₁	1	3	yes	—
211	#385	—	2	3	no	—
212	#385	C₂²×C₁₀₁	1	3	yes	—
213	#381	C₂²×C₁₀₁	1	3	yes	—
214	C₄×C₂²⋊C₄	C₂²×C₁₀₁	1	3	yes	—
215	#342	C₂²×C₁₀₁	1	3	yes	—
216	#342	C₂²×C₁₀₁	1	3	yes	—
217	C₂×#41	—	2	1	no	—
218	C₂²×D₄	C₂³×C₁₀₁	1	3	yes	—
219	C₂³×C₄	D₄×C₁₀₁	1	3	yes	—
220	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
221	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
222	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
223	#126	—	2	6	no	—
224	#125	—	2	3	no	—
225	#124	—	2	3	no	—
226	#123	—	2	6	no	—
227	#123	—	2	6	no	—
228	#123	—	2	6	no	—
229	#123	—	2	6	no	—
230	C₂²⋊Q₈	—	2	3	no	—
231	C₂²⋊Q₈	—	2	3	no	—
232	C₂²⋊Q₈	—	2	3	no	—
233	#121	—	2	3	no	—
234	#121	—	2	3	no	—
235	#121	—	2	3	no	—
236	#120	—	2	6	no	—
237	C₄×Q₈	—	2	1	no	—
238	C₄×D₄	—	2	3	no	—
239	C₄×D₄	—	2	6	no	—
240	C₄×D₄	—	2	6	no	—
241	#117	—	2	3	no	—
242	C₂×C₄⋊C₄	—	2	3	no	—
243	C₂×C₄⋊C₄	—	2	3	no	—
244	C₂×C₄⋊C₄	—	2	3	no	—
245	C₂×C₄⋊C₄	—	2	3	no	—
246	C₂×C₄⋊C₄	D₄×C₁₀₁	1	3	yes	—
247	C₂×C₂²⋊C₄	—	2	3	no	—
248	C₂×C₂²⋊C₄	—	2	3	no	—
249	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	3	yes	—
250	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	3	yes	—
251	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	3	yes	—
252	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	3	yes	—
253	C₂×C₄²	—	2	3	no	—
254	C₂×C₄²	D₄×C₁₀₁	1	3	yes	—
255	#99	—	2	12	no	—
256	#95	—	2	3	no	—
257	#95	—	2	3	no	—
258	#95	—	2	3	no	—
259	#95	—	2	3	no	—
260	#95	—	2	3	no	—
261	C₂⁴	C₂×D₄×C₁₀₁	1	3	yes	—
262	C₂⁴	C₂⁴×C₁₀₁	1	1	yes	characteristic
263	#41	—	8	2	no	—
264	C₂×Q₈	—	2	1	no	—
265	C₂×Q₈	—	2	1	no	—
266	C₂×D₄	—	2	6	no	—
267	C₂×D₄	—	2	6	no	—
268	C₂×D₄	—	2	3	no	—
269	C₂×D₄	—	2	3	no	—
270	C₂×D₄	—	2	3	no	—
271	C₂×D₄	—	2	3	no	—
272	C₂²×C₄	—	2	3	no	—
273	C₂²×C₄	—	2	3	no	—
274	C₂²×C₄	—	2	3	no	—
275	C₂²×C₄	—	2	3	no	—
276	C₂²×C₄	—	2	3	no	—
277	C₂²×C₄	—	2	3	no	—
278	C₂²×C₄	—	2	3	no	—
279	C₂²×C₄	—	8	1	no	—
280	C₂²×C₄	—	8	1	no	—
281	C₂²×C₄	—	8	3	no	—
282	C₂²×C₄	C₂×D₄×C₁₀₁	1	3	yes	—
283	C₂²×C₄	C₂×D₄×C₁₀₁	1	3	yes	—
284	C₂²×C₄	C₂×D₄×C₁₀₁	1	3	yes	—
285	C₂²×C₄	C₂×D₄×C₁₀₁	1	3	yes	—
286	C₂²×C₄	C₂×D₄×C₁₀₁	1	3	yes	—
287	C₂²×C₄	#41×C₁₀₁	1	2	yes	complemented
288	C₄⋊C₄	—	2	12	no	—
289	C₄⋊C₄	—	2	3	no	—
290	C₄⋊C₄	—	2	3	no	—
291	C₄⋊C₄	—	2	3	no	—
292	C₄⋊C₄	—	2	3	no	—
293	C₄⋊C₄	—	2	6	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	4	3	no	—
296	C₄⋊C₄	—	8	3	no	—
297	C₂²⋊C₄	—	2	12	no	—
298	C₂²⋊C₄	—	2	6	no	—
299	C₂²⋊C₄	—	2	6	no	—
300	C₂²⋊C₄	—	2	6	no	—
301	C₂²⋊C₄	—	2	3	no	—
302	C₂²⋊C₄	—	2	6	no	—
303	C₂²⋊C₄	—	2	6	no	—
304	C₂²⋊C₄	—	8	3	no	—
305	C₂²⋊C₄	#41×C₁₀₁	1	6	yes	complemented
306	C₄²	—	2	3	no	—
307	C₄²	—	2	3	no	—
308	C₄²	—	8	3	no	—
309	C₂³	—	2	3	no	—
310	C₂³	—	2	3	no	—
311	C₂³	—	2	3	no	—
312	C₂³	—	4	1	no	—
313	C₂³	—	4	1	no	—
314	C₂³	—	4	3	no	—
315	C₂³	—	4	3	no	—
316	C₂³	C₂²×D₄×C₁₀₁	1	3	yes	—
317	C₂³	C₂×#41×C₁₀₁	1	1	yes	characteristic
318	C₂³	C₂×#41×C₁₀₁	1	3	yes	—
319	Q₈	—	8	1	no	—
320	Q₈	—	8	1	no	—
321	D₄	—	4	6	no	—
322	D₄	—	4	6	no	—
323	D₄	—	8	3	no	—
324	D₄	—	8	3	no	—
325	C₂×C₄	—	2	3	no	—
326	C₂×C₄	—	2	3	no	—
327	C₂×C₄	—	2	3	no	—
328	C₂×C₄	—	2	6	no	—
329	C₂×C₄	—	2	6	no	—
330	C₂×C₄	—	2	3	no	—
331	C₂×C₄	—	2	3	no	—
332	C₂×C₄	—	4	3	no	—
333	C₂×C₄	—	4	3	no	—
334	C₂×C₄	—	4	6	no	—
335	C₂×C₄	—	4	3	no	—
336	C₂×C₄	—	4	3	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	3	no	—
339	C₂×C₄	—	4	3	no	—
340	C₂×C₄	—	4	3	no	—
341	C₂×C₄	—	4	3	no	—
342	C₂×C₄	—	4	3	no	—
343	C₂×C₄	—	4	3	no	—
344	C₂×C₄	—	4	3	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	3	no	—
347	C₂×C₄	—	8	3	no	—
348	C₂×C₄	#120×C₁₀₁	1	1	yes	characteristic
349	C₂×C₄	#120×C₁₀₁	1	3	yes	—
350	C₂²	—	2	3	no	—
351	C₂²	—	2	3	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	3	no	—
354	C₂²	—	4	6	no	—
355	C₂²	—	4	3	no	—
356	C₂²	—	4	3	no	—
357	C₂²	—	4	3	no	—
358	C₂²	—	8	3	no	—
359	C₂²	C₂×#120×C₁₀₁	1	1	yes	characteristic
360	C₂²	#525×C₁₀₁	1	3	yes	—
361	C₂²	#532×C₁₀₁	1	3	yes	—
362	C₄	—	2	1	no	—
363	C₄	—	2	3	no	—
364	C₄	—	4	6	no	—
365	C₄	—	4	3	no	—
366	C₄	—	4	3	no	—
367	C₄	—	4	2	no	—
368	C₄	—	4	3	no	—
369	C₄	—	8	3	no	—
370	C₄	—	8	1	no	—
371	C₂	—	2	3	no	—
372	C₂	—	2	3	no	—
373	C₂	—	8	3	no	—
374	C₂	C₁₀₁×#2388	1	1	yes	characteristic
375	C₂	C₁₀₁×#3026	1	1	yes	characteristic
376	C₂	C₁₀₁×#3028	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₀₁	C₂×#120
commutator, Frattini, cosocle	C₂⁴	C₂⁴×C₁₀₁
prime radical	C₁₀₁×#3459	C₂
LCS	G ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₀₁ ◁ C₂³×C₄×C₁₀₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₀₁×#2322	C₂	semidirect
3. C₁₀₁×#2062	C₂	semidirect
4. C₁₀₁×#2044	C₂	semidirect
5. C₁₀₁×#2030	C₂	semidirect
6. C₁₀₁×#2022	C₂	semidirect
7. C₄×#99×C₁₀₁	C₂	semidirect
98. C₂²×C₄×C₁₀₁	#41	semidirect
116. C₂²⋊C₄×C₁₀₁	#41	semidirect
182. #23598	C₁₀₁	direct (N × H)
190. #2322	C₂×C₁₀₁	semidirect
191. #2062	C₂×C₁₀₁	semidirect
192. #2044	C₂×C₁₀₁	semidirect
193. #2030	C₂×C₁₀₁	semidirect
194. #2022	C₂×C₁₀₁	semidirect
195. C₄×#99	C₂×C₁₀₁	semidirect
196. C₁₀₁	#23598	direct (N × H)
287. C₂²×C₄	#41×C₁₀₁	semidirect
305. C₂²⋊C₄	#41×C₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
C₁₀₁×#3459	2
C₁₀₁×#2322	2
C₁₀₁×#2062	2
C₁₀₁×#2044	2
C₁₀₁×#2030	2
C₁₀₁×#2022	2
C₄×#99×C₁₀₁	2
#23598	101

Subgroups — C101×#23598 #38805749

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#23598 #38805749