Subgroups — C₁₀₁×#17622 #38799773

Order 25856.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₀₁×#3505	C₂	1	1	yes	maximal, characteristic
2	C₁₀₁×#2973	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₀₁×#2349	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₀₁×#1520	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₀₁×#1519	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₀₁×#1513	C₂	1	2	yes	maximal, complemented
7	C₁₀₁×#1512	C₂	1	2	yes	maximal, complemented
8	C₁₀₁×#1509	C₂	1	2	yes	maximal, complemented
9	C₁₀₁×#1504	C₂	1	2	yes	maximal, complemented
10	C₂×#328×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#327×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
12	#553×C₁₀₁	—	2	2	no	—
13	#553×C₁₀₁	C₄	1	2	yes	complemented
14	#552×C₁₀₁	C₄	1	2	yes	complemented
15	#551×C₁₀₁	—	2	2	no	—
16	#548×C₁₀₁	C₄	1	2	yes	complemented
17	#546×C₁₀₁	C₄	1	2	yes	complemented
18	#539×C₁₀₁	—	2	1	no	—
19	#538×C₁₀₁	—	2	1	no	—
20	#534×C₁₀₁	—	2	1	no	—
21	#529×C₁₀₁	C₂²	1	2	yes	—
22	#525×C₁₀₁	C₂²	1	2	yes	—
23	C₂×C₂²⋊Q₈×C₁₀₁	C₂²	1	1	yes	characteristic
24	C₂×#121×C₁₀₁	C₂²	1	1	yes	characteristic
25	#518×C₁₀₁	—	2	1	no	—
26	C₂×C₄×D₄×C₁₀₁	—	2	1	no	—
27	C₂×C₄×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
28	#435×C₁₀₁	—	2	2	no	—
29	#435×C₁₀₁	—	2	2	no	—
30	#432×C₁₀₁	C₂²	1	2	yes	complemented
31	#407×C₁₀₁	C₂²	1	2	yes	complemented
32	C₂×C₂²⋊C₈×C₁₀₁	C₂²	1	1	yes	characteristic
33	C₂×C₂²⋊C₈×C₁₀₁	C₂²	1	1	yes	characteristic
34	#389×C₁₀₁	—	2	1	no	—
35	#385×C₁₀₁	—	2	1	no	—
36	#385×C₁₀₁	—	2	1	no	—
37	#382×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
38	#380×C₁₀₁	C₂²	1	1	yes	characteristic
39	#380×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
40	C₄×C₄⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×#95×C₁₀₁	C₂²	1	1	yes	characteristic
42	C₂×#95×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
43	#328×C₁₀₁	C₂²	1	2	yes	complemented
44	#328×C₁₀₁	C₂²	1	2	yes	complemented
45	#328×C₁₀₁	C₂²	1	2	yes	complemented
46	#328×C₁₀₁	C₂²	1	2	yes	complemented
47	#327×C₁₀₁	C₂²	1	2	yes	—
48	#327×C₁₀₁	C₂²	1	2	yes	—
49	#327×C₁₀₁	C₂²	1	2	yes	—
50	#327×C₁₀₁	C₂²	1	2	yes	—
51	C₂×#41×C₁₀₁	C₂×C₄	1	2	yes	complemented
52	C₂²×Q₈×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
53	C₂²×D₄×C₁₀₁	—	2	1	no	—
54	C₂²×D₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
55	C₂²×D₄×C₁₀₁	D₄	1	1	yes	characteristic
56	C₂³×C₄×C₁₀₁	—	2	1	no	—
57	C₂³×C₄×C₁₀₁	—	2	1	no	—
58	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
59	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
60	C₂×M₁₆×C₁₀₁	—	2	2	no	—
61	C₂²×C₈×C₁₀₁	—	2	1	no	—
62	C₂²×C₈×C₁₀₁	—	2	1	no	—
63	#126×C₁₀₁	—	2	2	no	—
64	#126×C₁₀₁	—	2	2	no	—
65	#126×C₁₀₁	—	2	2	no	—
66	#125×C₁₀₁	—	2	2	no	—
67	#125×C₁₀₁	C₂×C₄	1	2	yes	complemented
68	#124×C₁₀₁	—	2	2	no	—
69	#124×C₁₀₁	C₂×C₄	1	2	yes	complemented
70	#123×C₁₀₁	—	2	2	no	—
71	#123×C₁₀₁	—	2	2	no	—
72	#123×C₁₀₁	—	2	2	no	—
73	#123×C₁₀₁	—	2	2	no	—
74	#123×C₁₀₁	—	2	2	no	—
75	C₂²⋊Q₈×C₁₀₁	—	2	1	no	—
76	C₂²⋊Q₈×C₁₀₁	—	2	1	no	—
77	C₂²⋊Q₈×C₁₀₁	—	2	2	no	—
78	C₂²⋊Q₈×C₁₀₁	C₂×C₄	1	2	yes	complemented
79	C₂²⋊Q₈×C₁₀₁	C₂×C₄	1	2	yes	complemented
80	C₂²⋊Q₈×C₁₀₁	C₂³	1	2	yes	—
81	#121×C₁₀₁	—	2	2	no	—
82	#121×C₁₀₁	—	2	2	no	—
83	#121×C₁₀₁	—	2	1	no	—
84	#121×C₁₀₁	—	2	1	no	—
85	#121×C₁₀₁	—	2	2	no	—
86	#121×C₁₀₁	C₂×C₄	1	2	yes	complemented
87	#121×C₁₀₁	C₂×C₄	1	2	yes	complemented
88	#121×C₁₀₁	C₂³	1	2	yes	—
89	#120×C₁₀₁	—	2	2	no	—
90	#120×C₁₀₁	—	2	2	no	—
91	C₄×Q₈×C₁₀₁	C₂×C₄	1	2	yes	complemented
92	C₄×D₄×C₁₀₁	—	2	2	no	—
93	C₄×D₄×C₁₀₁	—	2	2	no	—
94	C₄×D₄×C₁₀₁	—	2	2	no	—
95	C₄×D₄×C₁₀₁	—	2	2	no	—
96	C₄×D₄×C₁₀₁	—	2	2	no	—
97	C₄×D₄×C₁₀₁	—	4	4	no	—
98	C₄×D₄×C₁₀₁	C₂×C₄	1	2	yes	—
99	C₄×D₄×C₁₀₁	C₂×C₄	1	2	yes	—
100	C₄×D₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
101	C₄×D₄×C₁₀₁	D₄	1	2	yes	—
102	C₄×D₄×C₁₀₁	D₄	1	2	yes	—
103	#117×C₁₀₁	—	2	2	no	—
104	#117×C₁₀₁	—	2	2	no	—
105	#117×C₁₀₁	C₂×C₄	1	2	yes	complemented
106	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
107	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
108	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
109	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
110	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
111	C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
112	C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
113	C₂×C₄⋊C₄×C₁₀₁	D₄	1	1	yes	characteristic
114	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
116	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
117	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	1	yes	characteristic
120	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	1	yes	characteristic
121	C₂×C₄²×C₁₀₁	—	2	1	no	—
122	C₂×C₄²×C₁₀₁	C₂³	1	1	yes	characteristic
123	C₄⋊C₈×C₁₀₁	—	2	2	no	—
124	C₂²⋊C₈×C₁₀₁	—	2	1	no	—
125	C₂²⋊C₈×C₁₀₁	—	2	1	no	—
126	C₂²⋊C₈×C₁₀₁	—	2	2	no	—
127	C₂²⋊C₈×C₁₀₁	C₂³	1	2	yes	—
128	C₂²⋊C₈×C₁₀₁	C₂³	1	2	yes	—
129	#97×C₁₀₁	—	2	2	no	—
130	#95×C₁₀₁	—	2	1	no	—
131	#95×C₁₀₁	—	2	1	no	—
132	#95×C₁₀₁	—	2	1	no	—
133	#95×C₁₀₁	C₂³	1	1	yes	characteristic
134	#95×C₁₀₁	C₂³	1	1	yes	characteristic
135	#95×C₁₀₁	C₂³	1	1	yes	characteristic
136	#95×C₁₀₁	C₂³	1	1	yes	characteristic
137	C₂⁴×C₁₀₁	—	2	1	no	—
138	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
139	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
140	#41×C₁₀₁	—	8	2	no	—
141	C₂×Q₈×C₁₀₁	—	2	1	no	—
142	C₂×Q₈×C₁₀₁	—	8	1	no	—
143	C₂×Q₈×C₁₀₁	C₂²×C₄	1	2	yes	—
144	C₂×D₄×C₁₀₁	—	2	2	no	—
145	C₂×D₄×C₁₀₁	—	2	2	no	—
146	C₂×D₄×C₁₀₁	—	2	2	no	—
147	C₂×D₄×C₁₀₁	—	2	2	no	—
148	C₂×D₄×C₁₀₁	—	2	2	no	—
149	C₂×D₄×C₁₀₁	—	2	2	no	—
150	C₂×D₄×C₁₀₁	—	2	1	no	—
151	C₂×D₄×C₁₀₁	—	4	2	no	—
152	C₂×D₄×C₁₀₁	—	4	2	no	—
153	C₂×D₄×C₁₀₁	—	8	1	no	—
154	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
155	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
156	C₂×D₄×C₁₀₁	C₂²×C₄	1	2	yes	—
157	C₂²×C₄×C₁₀₁	—	2	1	no	—
158	C₂²×C₄×C₁₀₁	—	2	1	no	—
159	C₂²×C₄×C₁₀₁	—	2	1	no	—
160	C₂²×C₄×C₁₀₁	—	2	1	no	—
161	C₂²×C₄×C₁₀₁	—	2	2	no	—
162	C₂²×C₄×C₁₀₁	—	2	2	no	—
163	C₂²×C₄×C₁₀₁	—	2	1	no	—
164	C₂²×C₄×C₁₀₁	—	2	1	no	—
165	C₂²×C₄×C₁₀₁	—	2	1	no	—
166	C₂²×C₄×C₁₀₁	—	4	2	no	—
167	C₂²×C₄×C₁₀₁	—	4	2	no	—
168	C₂²×C₄×C₁₀₁	—	4	2	no	—
169	C₂²×C₄×C₁₀₁	—	4	2	no	—
170	C₂²×C₄×C₁₀₁	—	8	1	no	—
171	C₂²×C₄×C₁₀₁	—	8	1	no	—
172	C₂²×C₄×C₁₀₁	—	8	1	no	—
173	C₂²×C₄×C₁₀₁	—	8	1	no	—
174	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
175	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
176	C₂²×C₄×C₁₀₁	C₂²×C₄	1	2	yes	—
177	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
178	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
179	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
180	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
181	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
182	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
183	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
184	C₂²×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
185	M₁₆×C₁₀₁	—	8	2	no	—
186	C₂×C₈×C₁₀₁	—	2	2	no	—
187	C₂×C₈×C₁₀₁	—	2	2	no	—
188	C₂×C₈×C₁₀₁	—	8	1	no	—
189	C₂×C₈×C₁₀₁	—	8	1	no	—
190	C₄⋊C₄×C₁₀₁	—	2	2	no	—
191	C₄⋊C₄×C₁₀₁	—	2	1	no	—
192	C₄⋊C₄×C₁₀₁	—	2	1	no	—
193	C₄⋊C₄×C₁₀₁	—	2	2	no	—
194	C₄⋊C₄×C₁₀₁	—	2	2	no	—
195	C₄⋊C₄×C₁₀₁	—	2	2	no	—
196	C₄⋊C₄×C₁₀₁	—	2	2	no	—
197	C₄⋊C₄×C₁₀₁	—	2	2	no	—
198	C₄⋊C₄×C₁₀₁	—	4	2	no	—
199	C₄⋊C₄×C₁₀₁	—	4	2	no	—
200	C₄⋊C₄×C₁₀₁	—	8	1	no	—
201	C₄⋊C₄×C₁₀₁	—	8	1	no	—
202	C₄⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
203	C₄⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
204	C₄⋊C₄×C₁₀₁	C₂²×C₄	1	2	yes	—
205	C₄⋊C₄×C₁₀₁	C₂²×C₄	1	2	yes	—
206	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
207	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
208	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
209	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
210	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
211	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
212	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
213	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
214	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
215	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
216	C₂²⋊C₄×C₁₀₁	—	4	2	no	—
217	C₂²⋊C₄×C₁₀₁	—	4	2	no	—
218	C₂²⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
219	C₂²⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
220	C₂²⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
221	C₂²⋊C₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
222	C₄²×C₁₀₁	—	2	2	no	—
223	C₄²×C₁₀₁	—	2	2	no	—
224	C₄²×C₁₀₁	—	4	2	no	—
225	C₄²×C₁₀₁	C₂²×C₄	1	2	yes	—
226	C₄²×C₁₀₁	C₂×D₄	1	2	yes	—
227	C₂³×C₁₀₁	—	2	1	no	—
228	C₂³×C₁₀₁	—	2	1	no	—
229	C₂³×C₁₀₁	—	2	2	no	—
230	C₂³×C₁₀₁	—	4	1	no	—
231	C₂³×C₁₀₁	—	4	1	no	—
232	C₂³×C₁₀₁	—	4	1	no	—
233	C₂³×C₁₀₁	—	4	1	no	—
234	C₂³×C₁₀₁	—	4	2	no	—
235	C₂³×C₁₀₁	—	8	1	no	—
236	C₂³×C₁₀₁	—	8	1	no	—
237	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
238	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
239	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
240	C₂³×C₁₀₁	AGL(1,ℤ/8)	1	2	yes	—
241	C₂³×C₁₀₁	#137	1	2	yes	—
242	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
243	Q₈×C₁₀₁	—	4	2	no	—
244	Q₈×C₁₀₁	—	8	1	no	—
245	D₄×C₁₀₁	—	2	4	no	—
246	D₄×C₁₀₁	—	2	4	no	—
247	D₄×C₁₀₁	—	4	2	no	—
248	D₄×C₁₀₁	—	4	2	no	—
249	D₄×C₁₀₁	—	4	2	no	—
250	D₄×C₁₀₁	—	4	4	no	—
251	D₄×C₁₀₁	—	8	1	no	—
252	D₄×C₁₀₁	—	8	2	no	—
253	D₄×C₁₀₁	—	8	2	no	—
254	C₂×C₄×C₁₀₁	—	2	1	no	—
255	C₂×C₄×C₁₀₁	—	2	1	no	—
256	C₂×C₄×C₁₀₁	—	2	2	no	—
257	C₂×C₄×C₁₀₁	—	2	2	no	—
258	C₂×C₄×C₁₀₁	—	2	2	no	—
259	C₂×C₄×C₁₀₁	—	2	2	no	—
260	C₂×C₄×C₁₀₁	—	4	1	no	—
261	C₂×C₄×C₁₀₁	—	4	1	no	—
262	C₂×C₄×C₁₀₁	—	4	1	no	—
263	C₂×C₄×C₁₀₁	—	4	1	no	—
264	C₂×C₄×C₁₀₁	—	4	1	no	—
265	C₂×C₄×C₁₀₁	—	4	2	no	—
266	C₂×C₄×C₁₀₁	—	4	1	no	—
267	C₂×C₄×C₁₀₁	—	4	1	no	—
268	C₂×C₄×C₁₀₁	—	4	1	no	—
269	C₂×C₄×C₁₀₁	—	4	2	no	—
270	C₂×C₄×C₁₀₁	—	4	1	no	—
271	C₂×C₄×C₁₀₁	—	4	1	no	—
272	C₂×C₄×C₁₀₁	—	4	2	no	—
273	C₂×C₄×C₁₀₁	—	4	1	no	—
274	C₂×C₄×C₁₀₁	—	4	1	no	—
275	C₂×C₄×C₁₀₁	—	4	1	no	—
276	C₂×C₄×C₁₀₁	—	4	1	no	—
277	C₂×C₄×C₁₀₁	—	4	1	no	—
278	C₂×C₄×C₁₀₁	—	4	1	no	—
279	C₂×C₄×C₁₀₁	—	4	1	no	—
280	C₂×C₄×C₁₀₁	—	4	1	no	—
281	C₂×C₄×C₁₀₁	—	4	1	no	—
282	C₂×C₄×C₁₀₁	—	8	2	no	—
283	C₂×C₄×C₁₀₁	—	8	2	no	—
284	C₂×C₄×C₁₀₁	—	8	1	no	—
285	C₂×C₄×C₁₀₁	—	8	1	no	—
286	C₂×C₄×C₁₀₁	—	8	4	no	—
287	C₂×C₄×C₁₀₁	—	8	4	no	—
288	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
289	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
290	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
291	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
292	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
293	C₂×C₄×C₁₀₁	C₂³×C₄	1	1	yes	characteristic
294	C₂×C₄×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
295	C₈×C₁₀₁	—	4	2	no	—
296	C₈×C₁₀₁	—	4	2	no	—
297	C₂²×C₁₀₁	—	2	1	no	—
298	C₂²×C₁₀₁	—	2	1	no	—
299	C₂²×C₁₀₁	—	2	1	no	—
300	C₂²×C₁₀₁	—	2	1	no	—
301	C₂²×C₁₀₁	—	2	1	no	—
302	C₂²×C₁₀₁	—	2	1	no	—
303	C₂²×C₁₀₁	—	2	2	no	—
304	C₂²×C₁₀₁	—	2	2	no	—
305	C₂²×C₁₀₁	—	2	2	no	—
306	C₂²×C₁₀₁	—	4	2	no	—
307	C₂²×C₁₀₁	—	4	2	no	—
308	C₂²×C₁₀₁	—	4	2	no	—
309	C₂²×C₁₀₁	—	4	2	no	—
310	C₂²×C₁₀₁	—	4	2	no	—
311	C₂²×C₁₀₁	—	4	2	no	—
312	C₂²×C₁₀₁	—	4	2	no	—
313	C₂²×C₁₀₁	—	16	2	no	—
314	C₂²×C₁₀₁	#417	1	2	yes	—
315	C₂²×C₁₀₁	#417	1	2	yes	—
316	C₂²×C₁₀₁	C₂²×C₂²⋊C₄	1	1	yes	characteristic
317	C₂²×C₁₀₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
318	C₂²×C₁₀₁	C₂×#137	1	1	yes	characteristic
319	C₄×C₁₀₁	—	2	1	no	—
320	C₄×C₁₀₁	—	2	1	no	—
321	C₄×C₁₀₁	—	2	2	no	—
322	C₄×C₁₀₁	—	2	1	no	—
323	C₄×C₁₀₁	—	2	1	no	—
324	C₄×C₁₀₁	—	2	2	no	—
325	C₄×C₁₀₁	—	2	2	no	—
326	C₄×C₁₀₁	—	4	2	no	—
327	C₄×C₁₀₁	—	4	2	no	—
328	C₄×C₁₀₁	—	4	2	no	—
329	C₄×C₁₀₁	—	4	2	no	—
330	C₄×C₁₀₁	—	8	1	no	—
331	C₄×C₁₀₁	—	8	1	no	—
332	C₄×C₁₀₁	—	8	1	no	—
333	#17622	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
334	C₂×C₁₀₁	—	2	1	no	—
335	C₂×C₁₀₁	—	2	1	no	—
336	C₂×C₁₀₁	—	2	2	no	—
337	C₂×C₁₀₁	—	2	2	no	—
338	C₂×C₁₀₁	—	4	2	no	—
339	C₂×C₁₀₁	—	8	2	no	—
340	C₂×C₁₀₁	#2883	1	1	yes	characteristic
341	C₂×C₁₀₁	C₂×#417	1	1	yes	characteristic
342	C₂×C₁₀₁	#2901	1	1	yes	characteristic
343	#3505	C₂×C₁₀₁	1	1	yes	characteristic
344	#2973	C₂×C₁₀₁	1	1	yes	characteristic, complemented
345	#2349	C₂×C₁₀₁	1	1	yes	characteristic, complemented
346	#1520	C₂×C₁₀₁	1	1	yes	characteristic, complemented
347	#1519	C₂×C₁₀₁	1	1	yes	characteristic, complemented
348	#1513	C₂×C₁₀₁	1	2	yes	complemented
349	#1512	C₂×C₁₀₁	1	2	yes	complemented
350	#1509	C₂×C₁₀₁	1	2	yes	complemented
351	#1504	C₂×C₁₀₁	1	2	yes	complemented
352	C₂×#328	C₂×C₁₀₁	1	1	yes	characteristic, complemented
353	C₂×#327	C₂×C₁₀₁	1	1	yes	characteristic, complemented
354	C₁₀₁	#17622	1	1	yes	characteristic, direct product factor, Sylow
355	#553	—	2	2	no	—
356	#553	C₄×C₁₀₁	1	2	yes	complemented
357	#552	C₄×C₁₀₁	1	2	yes	complemented
358	#551	—	2	2	no	—
359	#548	C₄×C₁₀₁	1	2	yes	complemented
360	#546	C₄×C₁₀₁	1	2	yes	complemented
361	#539	—	2	1	no	—
362	#538	—	2	1	no	—
363	#534	—	2	1	no	—
364	#529	C₂²×C₁₀₁	1	2	yes	—
365	#525	C₂²×C₁₀₁	1	2	yes	—
366	C₂×C₂²⋊Q₈	C₂²×C₁₀₁	1	1	yes	characteristic
367	C₂×#121	C₂²×C₁₀₁	1	1	yes	characteristic
368	#518	—	2	1	no	—
369	C₂×C₄×D₄	—	2	1	no	—
370	C₂×C₄×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
371	#435	—	2	2	no	—
372	#435	—	2	2	no	—
373	#432	C₂²×C₁₀₁	1	2	yes	complemented
374	#407	C₂²×C₁₀₁	1	2	yes	complemented
375	C₂×C₂²⋊C₈	C₂²×C₁₀₁	1	1	yes	characteristic
376	C₂×C₂²⋊C₈	C₂²×C₁₀₁	1	1	yes	characteristic
377	#389	—	2	1	no	—
378	#385	—	2	1	no	—
379	#385	—	2	1	no	—
380	#382	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
381	#380	C₂²×C₁₀₁	1	1	yes	characteristic
382	#380	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
383	C₄×C₄⋊C₄	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
384	C₂×#95	C₂²×C₁₀₁	1	1	yes	characteristic
385	C₂×#95	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
386	#328	C₂²×C₁₀₁	1	2	yes	complemented
387	#328	C₂²×C₁₀₁	1	2	yes	complemented
388	#328	C₂²×C₁₀₁	1	2	yes	complemented
389	#328	C₂²×C₁₀₁	1	2	yes	complemented
390	#327	C₂²×C₁₀₁	1	2	yes	—
391	#327	C₂²×C₁₀₁	1	2	yes	—
392	#327	C₂²×C₁₀₁	1	2	yes	—
393	#327	C₂²×C₁₀₁	1	2	yes	—
394	C₂×#41	C₂×C₄×C₁₀₁	1	2	yes	complemented
395	C₂²×Q₈	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
396	C₂²×D₄	—	2	1	no	—
397	C₂²×D₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
398	C₂²×D₄	D₄×C₁₀₁	1	1	yes	characteristic
399	C₂³×C₄	—	2	1	no	—
400	C₂³×C₄	—	2	1	no	—
401	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
402	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
403	C₂×M₁₆	—	2	2	no	—
404	C₂²×C₈	—	2	1	no	—
405	C₂²×C₈	—	2	1	no	—
406	#126	—	2	2	no	—
407	#126	—	2	2	no	—
408	#126	—	2	2	no	—
409	#125	—	2	2	no	—
410	#125	C₂×C₄×C₁₀₁	1	2	yes	complemented
411	#124	—	2	2	no	—
412	#124	C₂×C₄×C₁₀₁	1	2	yes	complemented
413	#123	—	2	2	no	—
414	#123	—	2	2	no	—
415	#123	—	2	2	no	—
416	#123	—	2	2	no	—
417	#123	—	2	2	no	—
418	C₂²⋊Q₈	—	2	1	no	—
419	C₂²⋊Q₈	—	2	1	no	—
420	C₂²⋊Q₈	—	2	2	no	—
421	C₂²⋊Q₈	C₂×C₄×C₁₀₁	1	2	yes	complemented
422	C₂²⋊Q₈	C₂×C₄×C₁₀₁	1	2	yes	complemented
423	C₂²⋊Q₈	C₂³×C₁₀₁	1	2	yes	—
424	#121	—	2	2	no	—
425	#121	—	2	2	no	—
426	#121	—	2	1	no	—
427	#121	—	2	1	no	—
428	#121	—	2	2	no	—
429	#121	C₂×C₄×C₁₀₁	1	2	yes	complemented
430	#121	C₂×C₄×C₁₀₁	1	2	yes	complemented
431	#121	C₂³×C₁₀₁	1	2	yes	—
432	#120	—	2	2	no	—
433	#120	—	2	2	no	—
434	C₄×Q₈	C₂×C₄×C₁₀₁	1	2	yes	complemented
435	C₄×D₄	—	2	2	no	—
436	C₄×D₄	—	2	2	no	—
437	C₄×D₄	—	2	2	no	—
438	C₄×D₄	—	2	2	no	—
439	C₄×D₄	—	2	2	no	—
440	C₄×D₄	—	4	4	no	—
441	C₄×D₄	C₂×C₄×C₁₀₁	1	2	yes	—
442	C₄×D₄	C₂×C₄×C₁₀₁	1	2	yes	—
443	C₄×D₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
444	C₄×D₄	D₄×C₁₀₁	1	2	yes	—
445	C₄×D₄	D₄×C₁₀₁	1	2	yes	—
446	#117	—	2	2	no	—
447	#117	—	2	2	no	—
448	#117	C₂×C₄×C₁₀₁	1	2	yes	complemented
449	C₂×C₄⋊C₄	—	2	1	no	—
450	C₂×C₄⋊C₄	—	2	1	no	—
451	C₂×C₄⋊C₄	—	2	1	no	—
452	C₂×C₄⋊C₄	—	2	1	no	—
453	C₂×C₄⋊C₄	—	2	1	no	—
454	C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
455	C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
456	C₂×C₄⋊C₄	D₄×C₁₀₁	1	1	yes	characteristic
457	C₂×C₂²⋊C₄	—	2	1	no	—
458	C₂×C₂²⋊C₄	—	2	1	no	—
459	C₂×C₂²⋊C₄	—	2	2	no	—
460	C₂×C₂²⋊C₄	—	2	1	no	—
461	C₂×C₂²⋊C₄	—	2	1	no	—
462	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	1	yes	characteristic
463	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	1	yes	characteristic
464	C₂×C₄²	—	2	1	no	—
465	C₂×C₄²	C₂³×C₁₀₁	1	1	yes	characteristic
466	C₄⋊C₈	—	2	2	no	—
467	C₂²⋊C₈	—	2	1	no	—
468	C₂²⋊C₈	—	2	1	no	—
469	C₂²⋊C₈	—	2	2	no	—
470	C₂²⋊C₈	C₂³×C₁₀₁	1	2	yes	—
471	C₂²⋊C₈	C₂³×C₁₀₁	1	2	yes	—
472	#97	—	2	2	no	—
473	#95	—	2	1	no	—
474	#95	—	2	1	no	—
475	#95	—	2	1	no	—
476	#95	C₂³×C₁₀₁	1	1	yes	characteristic
477	#95	C₂³×C₁₀₁	1	1	yes	characteristic
478	#95	C₂³×C₁₀₁	1	1	yes	characteristic
479	#95	C₂³×C₁₀₁	1	1	yes	characteristic
480	C₂⁴	—	2	1	no	—
481	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
482	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
483	#41	—	8	2	no	—
484	C₂×Q₈	—	2	1	no	—
485	C₂×Q₈	—	8	1	no	—
486	C₂×Q₈	C₂²×C₄×C₁₀₁	1	2	yes	—
487	C₂×D₄	—	2	2	no	—
488	C₂×D₄	—	2	2	no	—
489	C₂×D₄	—	2	2	no	—
490	C₂×D₄	—	2	2	no	—
491	C₂×D₄	—	2	2	no	—
492	C₂×D₄	—	2	2	no	—
493	C₂×D₄	—	2	1	no	—
494	C₂×D₄	—	4	2	no	—
495	C₂×D₄	—	4	2	no	—
496	C₂×D₄	—	8	1	no	—
497	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
498	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
499	C₂×D₄	C₂²×C₄×C₁₀₁	1	2	yes	—
500	C₂²×C₄	—	2	1	no	—
501	C₂²×C₄	—	2	1	no	—
502	C₂²×C₄	—	2	1	no	—
503	C₂²×C₄	—	2	1	no	—
504	C₂²×C₄	—	2	2	no	—
505	C₂²×C₄	—	2	2	no	—
506	C₂²×C₄	—	2	1	no	—
507	C₂²×C₄	—	2	1	no	—
508	C₂²×C₄	—	2	1	no	—
509	C₂²×C₄	—	4	2	no	—
510	C₂²×C₄	—	4	2	no	—
511	C₂²×C₄	—	4	2	no	—
512	C₂²×C₄	—	4	2	no	—
513	C₂²×C₄	—	8	1	no	—
514	C₂²×C₄	—	8	1	no	—
515	C₂²×C₄	—	8	1	no	—
516	C₂²×C₄	—	8	1	no	—
517	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
518	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
519	C₂²×C₄	C₂²×C₄×C₁₀₁	1	2	yes	—
520	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
521	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
522	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
523	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
524	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
525	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
526	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₁₀₁	1	1	yes	characteristic
528	M₁₆	—	8	2	no	—
529	C₂×C₈	—	2	2	no	—
530	C₂×C₈	—	2	2	no	—
531	C₂×C₈	—	8	1	no	—
532	C₂×C₈	—	8	1	no	—
533	C₄⋊C₄	—	2	2	no	—
534	C₄⋊C₄	—	2	1	no	—
535	C₄⋊C₄	—	2	1	no	—
536	C₄⋊C₄	—	2	2	no	—
537	C₄⋊C₄	—	2	2	no	—
538	C₄⋊C₄	—	2	2	no	—
539	C₄⋊C₄	—	2	2	no	—
540	C₄⋊C₄	—	2	2	no	—
541	C₄⋊C₄	—	4	2	no	—
542	C₄⋊C₄	—	4	2	no	—
543	C₄⋊C₄	—	8	1	no	—
544	C₄⋊C₄	—	8	1	no	—
545	C₄⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
546	C₄⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
547	C₄⋊C₄	C₂²×C₄×C₁₀₁	1	2	yes	—
548	C₄⋊C₄	C₂²×C₄×C₁₀₁	1	2	yes	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	2	2	no	—
552	C₂²⋊C₄	—	2	2	no	—
553	C₂²⋊C₄	—	2	2	no	—
554	C₂²⋊C₄	—	2	2	no	—
555	C₂²⋊C₄	—	2	2	no	—
556	C₂²⋊C₄	—	2	2	no	—
557	C₂²⋊C₄	—	2	2	no	—
558	C₂²⋊C₄	—	2	2	no	—
559	C₂²⋊C₄	—	4	2	no	—
560	C₂²⋊C₄	—	4	2	no	—
561	C₂²⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
562	C₂²⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
563	C₂²⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
564	C₂²⋊C₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
565	C₄²	—	2	2	no	—
566	C₄²	—	2	2	no	—
567	C₄²	—	4	2	no	—
568	C₄²	C₂²×C₄×C₁₀₁	1	2	yes	—
569	C₄²	C₂×D₄×C₁₀₁	1	2	yes	—
570	C₂³	—	2	1	no	—
571	C₂³	—	2	1	no	—
572	C₂³	—	2	2	no	—
573	C₂³	—	4	1	no	—
574	C₂³	—	4	1	no	—
575	C₂³	—	4	1	no	—
576	C₂³	—	4	1	no	—
577	C₂³	—	4	2	no	—
578	C₂³	—	8	1	no	—
579	C₂³	—	8	1	no	—
580	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
581	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
582	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
583	C₂³	AGL(1,ℤ/8)×C₁₀₁	1	2	yes	—
584	C₂³	#137×C₁₀₁	1	2	yes	—
585	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
586	Q₈	—	4	2	no	—
587	Q₈	—	8	1	no	—
588	D₄	—	2	4	no	—
589	D₄	—	2	4	no	—
590	D₄	—	4	2	no	—
591	D₄	—	4	4	no	—
592	D₄	—	4	2	no	—
593	D₄	—	4	2	no	—
594	D₄	—	8	1	no	—
595	D₄	—	8	2	no	—
596	D₄	—	8	2	no	—
597	C₂×C₄	—	2	1	no	—
598	C₂×C₄	—	2	1	no	—
599	C₂×C₄	—	2	2	no	—
600	C₂×C₄	—	2	2	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	4	1	no	—
604	C₂×C₄	—	4	1	no	—
605	C₂×C₄	—	4	1	no	—
606	C₂×C₄	—	4	1	no	—
607	C₂×C₄	—	4	1	no	—
608	C₂×C₄	—	4	2	no	—
609	C₂×C₄	—	4	1	no	—
610	C₂×C₄	—	4	1	no	—
611	C₂×C₄	—	4	1	no	—
612	C₂×C₄	—	4	2	no	—
613	C₂×C₄	—	4	1	no	—
614	C₂×C₄	—	4	2	no	—
615	C₂×C₄	—	4	1	no	—
616	C₂×C₄	—	4	1	no	—
617	C₂×C₄	—	4	1	no	—
618	C₂×C₄	—	4	1	no	—
619	C₂×C₄	—	4	1	no	—
620	C₂×C₄	—	4	1	no	—
621	C₂×C₄	—	4	1	no	—
622	C₂×C₄	—	4	1	no	—
623	C₂×C₄	—	4	1	no	—
624	C₂×C₄	—	4	1	no	—
625	C₂×C₄	—	8	2	no	—
626	C₂×C₄	—	8	2	no	—
627	C₂×C₄	—	8	1	no	—
628	C₂×C₄	—	8	1	no	—
629	C₂×C₄	—	8	4	no	—
630	C₂×C₄	—	8	4	no	—
631	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
632	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
633	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
634	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
635	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
636	C₂×C₄	C₂³×C₄×C₁₀₁	1	1	yes	characteristic
637	C₂×C₄	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
638	C₈	—	4	2	no	—
639	C₈	—	4	2	no	—
640	C₂²	—	2	1	no	—
641	C₂²	—	2	1	no	—
642	C₂²	—	2	1	no	—
643	C₂²	—	2	1	no	—
644	C₂²	—	2	1	no	—
645	C₂²	—	2	1	no	—
646	C₂²	—	2	2	no	—
647	C₂²	—	2	2	no	—
648	C₂²	—	2	2	no	—
649	C₂²	—	4	2	no	—
650	C₂²	—	4	2	no	—
651	C₂²	—	4	2	no	—
652	C₂²	—	4	2	no	—
653	C₂²	—	4	2	no	—
654	C₂²	—	4	2	no	—
655	C₂²	—	4	2	no	—
656	C₂²	—	16	2	no	—
657	C₂²	#417×C₁₀₁	1	2	yes	—
658	C₂²	#417×C₁₀₁	1	2	yes	—
659	C₂²	C₂²×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
660	C₂²	C₂×AGL(1,ℤ/8)×C₁₀₁	1	1	yes	characteristic
661	C₂²	C₂×#137×C₁₀₁	1	1	yes	characteristic
662	C₄	—	2	1	no	—
663	C₄	—	2	1	no	—
664	C₄	—	2	2	no	—
665	C₄	—	2	1	no	—
666	C₄	—	2	1	no	—
667	C₄	—	2	2	no	—
668	C₄	—	2	2	no	—
669	C₄	—	4	2	no	—
670	C₄	—	4	2	no	—
671	C₄	—	4	2	no	—
672	C₄	—	4	2	no	—
673	C₄	—	8	1	no	—
674	C₄	—	8	1	no	—
675	C₄	—	8	1	no	—
676	C₂	—	2	1	no	—
677	C₂	—	2	1	no	—
678	C₂	—	2	2	no	—
679	C₂	—	2	2	no	—
680	C₂	—	4	2	no	—
681	C₂	—	8	2	no	—
682	C₂	C₁₀₁×#2883	1	1	yes	characteristic
683	C₂	C₂×#417×C₁₀₁	1	1	yes	characteristic
684	C₂	C₁₀₁×#2901	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₀₁	C₂²×C₂²⋊C₄
commutator	C₂×C₄	C₂³×C₄×C₁₀₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₀₁
prime radical	C₁₀₁×#3505	C₂
LCS	G ▷ C₂×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₀₁ ◁ C₂×C₄×D₄×C₁₀₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₀₁×#2973	C₂	semidirect
3. C₁₀₁×#2349	C₂	semidirect
4. C₁₀₁×#1520	C₂	semidirect
5. C₁₀₁×#1519	C₂	semidirect
6. C₁₀₁×#1513	C₂	semidirect
7. C₁₀₁×#1512	C₂	semidirect
8. C₁₀₁×#1509	C₂	semidirect
9. C₁₀₁×#1504	C₂	semidirect
10. C₂×#328×C₁₀₁	C₂	semidirect
11. C₂×#327×C₁₀₁	C₂	semidirect
13. #553×C₁₀₁	C₄	semidirect
14. #552×C₁₀₁	C₄	semidirect
16. #548×C₁₀₁	C₄	semidirect
17. #546×C₁₀₁	C₄	semidirect
30. #432×C₁₀₁	C₂²	semidirect
31. #407×C₁₀₁	C₂²	semidirect
37. #382×C₁₀₁	C₂²	semidirect
39. #380×C₁₀₁	C₂²	semidirect
40. C₄×C₄⋊C₄×C₁₀₁	C₂²	semidirect
42. C₂×#95×C₁₀₁	C₂²	semidirect
43. #328×C₁₀₁	C₂²	semidirect
44. #328×C₁₀₁	C₂²	semidirect
45. #328×C₁₀₁	C₂²	semidirect
46. #328×C₁₀₁	C₂²	semidirect
51. C₂×#41×C₁₀₁	C₂×C₄	semidirect
52. C₂²×Q₈×C₁₀₁	C₂×C₄	semidirect
54. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
67. #125×C₁₀₁	C₂×C₄	semidirect
69. #124×C₁₀₁	C₂×C₄	semidirect
78. C₂²⋊Q₈×C₁₀₁	C₂×C₄	semidirect
79. C₂²⋊Q₈×C₁₀₁	C₂×C₄	semidirect
86. #121×C₁₀₁	C₂×C₄	semidirect
87. #121×C₁₀₁	C₂×C₄	semidirect
91. C₄×Q₈×C₁₀₁	C₂×C₄	semidirect
100. C₄×D₄×C₁₀₁	C₂×C₄	semidirect
105. #117×C₁₀₁	C₂×C₄	semidirect
111. C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	semidirect
112. C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	semidirect
333. #17622	C₁₀₁	direct (N × H)
344. #2973	C₂×C₁₀₁	semidirect
345. #2349	C₂×C₁₀₁	semidirect
346. #1520	C₂×C₁₀₁	semidirect
347. #1519	C₂×C₁₀₁	semidirect
348. #1513	C₂×C₁₀₁	semidirect
349. #1512	C₂×C₁₀₁	semidirect
350. #1509	C₂×C₁₀₁	semidirect
351. #1504	C₂×C₁₀₁	semidirect
352. C₂×#328	C₂×C₁₀₁	semidirect
353. C₂×#327	C₂×C₁₀₁	semidirect
354. C₁₀₁	#17622	direct (N × H)
356. #553	C₄×C₁₀₁	semidirect
357. #552	C₄×C₁₀₁	semidirect
359. #548	C₄×C₁₀₁	semidirect
360. #546	C₄×C₁₀₁	semidirect
373. #432	C₂²×C₁₀₁	semidirect
374. #407	C₂²×C₁₀₁	semidirect
380. #382	C₂²×C₁₀₁	semidirect
382. #380	C₂²×C₁₀₁	semidirect
383. C₄×C₄⋊C₄	C₂²×C₁₀₁	semidirect
385. C₂×#95	C₂²×C₁₀₁	semidirect
386. #328	C₂²×C₁₀₁	semidirect
387. #328	C₂²×C₁₀₁	semidirect
388. #328	C₂²×C₁₀₁	semidirect
389. #328	C₂²×C₁₀₁	semidirect
394. C₂×#41	C₂×C₄×C₁₀₁	semidirect
395. C₂²×Q₈	C₂×C₄×C₁₀₁	semidirect
397. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
410. #125	C₂×C₄×C₁₀₁	semidirect
412. #124	C₂×C₄×C₁₀₁	semidirect
421. C₂²⋊Q₈	C₂×C₄×C₁₀₁	semidirect
422. C₂²⋊Q₈	C₂×C₄×C₁₀₁	semidirect
429. #121	C₂×C₄×C₁₀₁	semidirect
430. #121	C₂×C₄×C₁₀₁	semidirect
434. C₄×Q₈	C₂×C₄×C₁₀₁	semidirect
443. C₄×D₄	C₂×C₄×C₁₀₁	semidirect
448. #117	C₂×C₄×C₁₀₁	semidirect
454. C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	semidirect
455. C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
C₁₀₁×#3505	2
C₁₀₁×#2973	2
C₁₀₁×#2349	2
C₁₀₁×#1520	2
C₁₀₁×#1519	2
C₁₀₁×#1513	2
C₁₀₁×#1512	2
C₁₀₁×#1509	2
C₁₀₁×#1504	2
C₂×#328×C₁₀₁	2
C₂×#327×C₁₀₁	2
#17622	101

Subgroups — C101×#17622 #38799773

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#17622 #38799773