Subgroups — C₂×C₁₀₁×#1898 #38803132

Order 25856.

3746 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#120×C₁₀₁	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₂²⋊C₄×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#99×C₁₀₁	C₂	1	2	yes	maximal, complemented
4	C₂×#379×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₀₁×#1898	C₂	1	8	yes	maximal, direct product factor
6	C₂×#342×C₁₀₁	C₂	1	2	yes	maximal, complemented
7	C₂⁶×C₁₀₁	C₂²	1	1	yes	characteristic
8	C₂³×D₄×C₁₀₁	C₄	1	2	yes	complemented
9	C₂³×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
10	C₂⁴×C₄×C₁₀₁	—	2	1	no	—
11	C₂×#120×C₁₀₁	—	2	1	no	—
12	C₂×#120×C₁₀₁	—	2	2	no	—
13	C₂×#120×C₁₀₁	—	2	2	no	—
14	C₂×#120×C₁₀₁	—	2	1	no	—
15	C₂×#120×C₁₀₁	—	2	2	no	—
16	C₂×#120×C₁₀₁	C₄	1	4	yes	complemented
17	C₂×#120×C₁₀₁	C₂²	1	4	yes	—
18	C₂²×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
19	C₂²×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
20	C₂²×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
21	C₂²×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
22	C₂²×C₂²⋊C₄×C₁₀₁	C₄	1	2	yes	complemented
23	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	—
24	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic
25	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	—
26	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	4	yes	complemented
27	C₂×#99×C₁₀₁	—	2	8	no	—
28	C₂×#99×C₁₀₁	C₂²	1	8	yes	complemented
29	#379×C₁₀₁	—	2	2	no	—
30	#379×C₁₀₁	C₂²	1	4	yes	complemented
31	#342×C₁₀₁	C₂²	1	8	yes	complemented
32	C₂⁵×C₁₀₁	—	2	4	no	—
33	C₂⁵×C₁₀₁	—	2	4	no	—
34	C₂⁵×C₁₀₁	—	4	8	no	—
35	C₂⁵×C₁₀₁	C₂×C₄	1	2	yes	—
36	C₂⁵×C₁₀₁	C₂×C₄	1	2	yes	—
37	C₂⁵×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
38	C₂⁵×C₁₀₁	D₄	1	1	yes	characteristic
39	C₂⁵×C₁₀₁	D₄	1	2	yes	—
40	C₂⁵×C₁₀₁	D₄	1	1	yes	characteristic
41	C₂⁵×C₁₀₁	D₄	1	2	yes	—
42	C₂⁵×C₁₀₁	D₄	1	2	yes	—
43	C₂⁵×C₁₀₁	C₂³	1	2	yes	—
44	C₂⁵×C₁₀₁	C₂³	1	1	yes	characteristic
45	C₂²×D₄×C₁₀₁	—	2	4	no	—
46	C₂²×D₄×C₁₀₁	—	2	2	no	—
47	C₂²×D₄×C₁₀₁	—	2	2	no	—
48	C₂²×D₄×C₁₀₁	—	2	4	no	—
49	C₂²×D₄×C₁₀₁	—	2	1	no	—
50	C₂²×D₄×C₁₀₁	—	2	1	no	—
51	C₂²×D₄×C₁₀₁	—	2	1	no	—
52	C₂²×D₄×C₁₀₁	—	2	1	no	—
53	C₂²×D₄×C₁₀₁	—	2	4	no	—
54	C₂²×D₄×C₁₀₁	—	4	8	no	—
55	C₂²×D₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
56	C₂²×D₄×C₁₀₁	C₂×C₄	1	8	yes	complemented
57	C₂²×D₄×C₁₀₁	C₂³	1	2	yes	—
58	C₂³×C₄×C₁₀₁	—	2	8	no	—
59	C₂³×C₄×C₁₀₁	—	2	2	no	—
60	C₂³×C₄×C₁₀₁	—	2	4	no	—
61	C₂³×C₄×C₁₀₁	—	2	2	no	—
62	C₂³×C₄×C₁₀₁	—	4	8	no	—
63	C₂³×C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
64	C₂³×C₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
65	#120×C₁₀₁	—	2	4	no	—
66	#120×C₁₀₁	—	2	8	no	—
67	#120×C₁₀₁	—	2	4	no	—
68	#120×C₁₀₁	—	2	4	no	—
69	#120×C₁₀₁	—	2	8	no	—
70	#120×C₁₀₁	—	2	4	no	—
71	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
72	C₂×C₂²⋊C₄×C₁₀₁	—	2	16	no	—
73	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
74	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
75	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
76	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
77	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
78	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
79	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
80	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
81	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
82	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
83	C₂×C₂²⋊C₄×C₁₀₁	—	2	16	no	—
84	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
85	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
86	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
87	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
88	C₂×C₂²⋊C₄×C₁₀₁	—	4	8	no	—
89	C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	1	8	yes	complemented
90	C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
91	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	8	yes	complemented
92	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	4	yes	—
93	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	2	yes	—
94	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	4	yes	—
95	#99×C₁₀₁	—	2	16	no	—
96	C₂⁴×C₁₀₁	—	2	8	no	—
97	C₂⁴×C₁₀₁	—	2	2	no	—
98	C₂⁴×C₁₀₁	—	2	2	no	—
99	C₂⁴×C₁₀₁	—	2	8	no	—
100	C₂⁴×C₁₀₁	—	2	8	no	—
101	C₂⁴×C₁₀₁	—	2	8	no	—
102	C₂⁴×C₁₀₁	—	2	8	no	—
103	C₂⁴×C₁₀₁	—	2	4	no	—
104	C₂⁴×C₁₀₁	—	2	2	no	—
105	C₂⁴×C₁₀₁	—	2	8	no	—
106	C₂⁴×C₁₀₁	—	2	8	no	—
107	C₂⁴×C₁₀₁	—	2	4	no	—
108	C₂⁴×C₁₀₁	—	2	2	no	—
109	C₂⁴×C₁₀₁	—	2	4	no	—
110	C₂⁴×C₁₀₁	—	2	4	no	—
111	C₂⁴×C₁₀₁	—	2	1	no	—
112	C₂⁴×C₁₀₁	—	2	1	no	—
113	C₂⁴×C₁₀₁	—	2	4	no	—
114	C₂⁴×C₁₀₁	—	4	4	no	—
115	C₂⁴×C₁₀₁	—	4	8	no	—
116	C₂⁴×C₁₀₁	—	4	4	no	—
117	C₂⁴×C₁₀₁	—	4	4	no	—
118	C₂⁴×C₁₀₁	—	4	8	no	—
119	C₂⁴×C₁₀₁	—	4	8	no	—
120	C₂⁴×C₁₀₁	—	4	4	no	—
121	C₂⁴×C₁₀₁	—	4	8	no	—
122	C₂⁴×C₁₀₁	—	4	32	no	—
123	C₂⁴×C₁₀₁	—	4	32	no	—
124	C₂⁴×C₁₀₁	—	4	4	no	—
125	C₂⁴×C₁₀₁	C₂²⋊C₄	1	2	yes	—
126	C₂⁴×C₁₀₁	C₂²⋊C₄	1	2	yes	—
127	C₂⁴×C₁₀₁	C₂²⋊C₄	1	4	yes	—
128	C₂⁴×C₁₀₁	C₂²⋊C₄	1	4	yes	—
129	C₂⁴×C₁₀₁	C₂²⋊C₄	1	2	yes	—
130	C₂⁴×C₁₀₁	C₂²⋊C₄	1	2	yes	—
131	C₂⁴×C₁₀₁	C₂²×C₄	1	4	yes	—
132	C₂⁴×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
133	C₂⁴×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
134	C₂⁴×C₁₀₁	C₂²×C₄	1	2	yes	complemented
135	C₂⁴×C₁₀₁	C₂×D₄	1	2	yes	—
136	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
137	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
138	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
139	C₂⁴×C₁₀₁	C₂×D₄	1	2	yes	—
140	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
141	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
142	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
143	C₂⁴×C₁₀₁	#41	1	4	yes	—
144	C₂⁴×C₁₀₁	C₂⁴	1	1	yes	characteristic
145	C₂×D₄×C₁₀₁	—	2	8	no	—
146	C₂×D₄×C₁₀₁	—	2	2	no	—
147	C₂×D₄×C₁₀₁	—	2	2	no	—
148	C₂×D₄×C₁₀₁	—	2	8	no	—
149	C₂×D₄×C₁₀₁	—	2	8	no	—
150	C₂×D₄×C₁₀₁	—	2	4	no	—
151	C₂×D₄×C₁₀₁	—	2	2	no	—
152	C₂×D₄×C₁₀₁	—	2	2	no	—
153	C₂×D₄×C₁₀₁	—	2	4	no	—
154	C₂×D₄×C₁₀₁	—	4	16	no	—
155	C₂×D₄×C₁₀₁	—	4	8	no	—
156	C₂×D₄×C₁₀₁	—	4	8	no	—
157	C₂×D₄×C₁₀₁	—	4	2	no	—
158	C₂×D₄×C₁₀₁	—	4	2	no	—
159	C₂×D₄×C₁₀₁	—	4	4	no	—
160	C₂×D₄×C₁₀₁	—	4	4	no	—
161	C₂×D₄×C₁₀₁	—	4	2	no	—
162	C₂×D₄×C₁₀₁	—	4	2	no	—
163	C₂×D₄×C₁₀₁	—	4	16	no	—
164	C₂²×C₄×C₁₀₁	—	2	16	no	—
165	C₂²×C₄×C₁₀₁	—	2	2	no	—
166	C₂²×C₄×C₁₀₁	—	2	1	no	—
167	C₂²×C₄×C₁₀₁	—	2	1	no	—
168	C₂²×C₄×C₁₀₁	—	2	2	no	—
169	C₂²×C₄×C₁₀₁	—	2	4	no	—
170	C₂²×C₄×C₁₀₁	—	2	8	no	—
171	C₂²×C₄×C₁₀₁	—	2	4	no	—
172	C₂²×C₄×C₁₀₁	—	2	4	no	—
173	C₂²×C₄×C₁₀₁	—	4	32	no	—
174	C₂²×C₄×C₁₀₁	—	4	8	no	—
175	C₂²×C₄×C₁₀₁	—	4	16	no	—
176	C₂²×C₄×C₁₀₁	—	4	4	no	—
177	C₂²×C₄×C₁₀₁	—	4	8	no	—
178	C₂²×C₄×C₁₀₁	—	4	4	no	—
179	C₂²×C₄×C₁₀₁	C₂²×C₄	1	2	yes	complemented
180	C₂²×C₄×C₁₀₁	C₂²×C₄	1	4	yes	complemented
181	C₂²⋊C₄×C₁₀₁	—	2	16	no	—
182	C₂²⋊C₄×C₁₀₁	—	2	8	no	—
183	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
184	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
185	C₂²⋊C₄×C₁₀₁	—	2	8	no	—
186	C₂²⋊C₄×C₁₀₁	—	2	8	no	—
187	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
188	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
189	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
190	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
191	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
192	C₂²⋊C₄×C₁₀₁	—	4	16	no	—
193	C₂²⋊C₄×C₁₀₁	—	4	4	no	—
194	C₂²⋊C₄×C₁₀₁	C₂×D₄	1	8	yes	complemented
195	C₂³×C₁₀₁	—	2	16	no	—
196	C₂³×C₁₀₁	—	2	16	no	—
197	C₂³×C₁₀₁	—	2	2	no	—
198	C₂³×C₁₀₁	—	2	2	no	—
199	C₂³×C₁₀₁	—	2	4	no	—
200	C₂³×C₁₀₁	—	2	4	no	—
201	C₂³×C₁₀₁	—	2	4	no	—
202	C₂³×C₁₀₁	—	2	4	no	—
203	C₂³×C₁₀₁	—	2	4	no	—
204	C₂³×C₁₀₁	—	2	4	no	—
205	C₂³×C₁₀₁	—	2	8	no	—
206	C₂³×C₁₀₁	—	2	8	no	—
207	C₂³×C₁₀₁	—	2	8	no	—
208	C₂³×C₁₀₁	—	2	2	no	—
209	C₂³×C₁₀₁	—	2	8	no	—
210	C₂³×C₁₀₁	—	2	2	no	—
211	C₂³×C₁₀₁	—	2	8	no	—
212	C₂³×C₁₀₁	—	2	8	no	—
213	C₂³×C₁₀₁	—	2	4	no	—
214	C₂³×C₁₀₁	—	2	4	no	—
215	C₂³×C₁₀₁	—	2	4	no	—
216	C₂³×C₁₀₁	—	2	4	no	—
217	C₂³×C₁₀₁	—	2	8	no	—
218	C₂³×C₁₀₁	—	2	8	no	—
219	C₂³×C₁₀₁	—	2	8	no	—
220	C₂³×C₁₀₁	—	2	8	no	—
221	C₂³×C₁₀₁	—	2	2	no	—
222	C₂³×C₁₀₁	—	2	4	no	—
223	C₂³×C₁₀₁	—	4	4	no	—
224	C₂³×C₁₀₁	—	4	4	no	—
225	C₂³×C₁₀₁	—	4	4	no	—
226	C₂³×C₁₀₁	—	4	2	no	—
227	C₂³×C₁₀₁	—	4	4	no	—
228	C₂³×C₁₀₁	—	4	2	no	—
229	C₂³×C₁₀₁	—	4	2	no	—
230	C₂³×C₁₀₁	—	4	4	no	—
231	C₂³×C₁₀₁	—	4	4	no	—
232	C₂³×C₁₀₁	—	4	8	no	—
233	C₂³×C₁₀₁	—	4	8	no	—
234	C₂³×C₁₀₁	—	4	2	no	—
235	C₂³×C₁₀₁	—	4	32	no	—
236	C₂³×C₁₀₁	—	4	32	no	—
237	C₂³×C₁₀₁	—	4	16	no	—
238	C₂³×C₁₀₁	—	4	16	no	—
239	C₂³×C₁₀₁	—	4	32	no	—
240	C₂³×C₁₀₁	—	4	32	no	—
241	C₂³×C₁₀₁	—	4	16	no	—
242	C₂³×C₁₀₁	—	4	16	no	—
243	C₂³×C₁₀₁	—	4	8	no	—
244	C₂³×C₁₀₁	—	4	8	no	—
245	C₂³×C₁₀₁	—	4	4	no	—
246	C₂³×C₁₀₁	—	4	4	no	—
247	C₂³×C₁₀₁	—	4	2	no	—
248	C₂³×C₁₀₁	—	4	2	no	—
249	C₂³×C₁₀₁	—	4	4	no	—
250	C₂³×C₁₀₁	—	8	8	no	—
251	C₂³×C₁₀₁	#99	1	8	yes	complemented
252	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	4	yes	—
253	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
254	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
255	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
256	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	4	yes	—
257	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
258	C₂³×C₁₀₁	C₄×D₄	1	4	yes	—
259	C₂³×C₁₀₁	C₄×D₄	1	4	yes	—
260	C₂³×C₁₀₁	#120	1	2	yes	—
261	C₂³×C₁₀₁	#120	1	2	yes	—
262	C₂³×C₁₀₁	#121	1	4	yes	—
263	C₂³×C₁₀₁	#121	1	4	yes	—
264	C₂³×C₁₀₁	#123	1	2	yes	—
265	C₂³×C₁₀₁	#123	1	2	yes	—
266	C₂³×C₁₀₁	C₂³×C₄	1	1	yes	characteristic
267	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
268	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
269	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
270	C₂³×C₁₀₁	C₂×#41	1	2	yes	—
271	D₄×C₁₀₁	—	4	16	no	—
272	D₄×C₁₀₁	—	4	2	no	—
273	D₄×C₁₀₁	—	4	4	no	—
274	D₄×C₁₀₁	—	4	2	no	—
275	D₄×C₁₀₁	—	4	4	no	—
276	D₄×C₁₀₁	—	4	4	no	—
277	D₄×C₁₀₁	—	4	16	no	—
278	C₂×C₄×C₁₀₁	—	2	4	no	—
279	C₂×C₄×C₁₀₁	—	2	2	no	—
280	C₂×C₄×C₁₀₁	—	2	4	no	—
281	C₂×C₄×C₁₀₁	—	2	8	no	—
282	C₂×C₄×C₁₀₁	—	4	32	no	—
283	C₂×C₄×C₁₀₁	—	4	8	no	—
284	C₂×C₄×C₁₀₁	—	4	16	no	—
285	C₂×C₄×C₁₀₁	—	4	4	no	—
286	C₂×C₄×C₁₀₁	—	4	2	no	—
287	C₂×C₄×C₁₀₁	—	4	2	no	—
288	C₂×C₄×C₁₀₁	—	4	4	no	—
289	C₂×C₄×C₁₀₁	—	4	4	no	—
290	C₂×C₄×C₁₀₁	—	4	8	no	—
291	C₂×C₄×C₁₀₁	—	4	4	no	—
292	C₂×C₄×C₁₀₁	—	8	8	no	—
293	C₂²×C₁₀₁	—	2	8	no	—
294	C₂²×C₁₀₁	—	2	8	no	—
295	C₂²×C₁₀₁	—	2	16	no	—
296	C₂²×C₁₀₁	—	2	2	no	—
297	C₂²×C₁₀₁	—	2	2	no	—
298	C₂²×C₁₀₁	—	2	2	no	—
299	C₂²×C₁₀₁	—	2	2	no	—
300	C₂²×C₁₀₁	—	2	2	no	—
301	C₂²×C₁₀₁	—	2	4	no	—
302	C₂²×C₁₀₁	—	2	2	no	—
303	C₂²×C₁₀₁	—	2	4	no	—
304	C₂²×C₁₀₁	—	2	8	no	—
305	C₂²×C₁₀₁	—	2	16	no	—
306	C₂²×C₁₀₁	—	2	4	no	—
307	C₂²×C₁₀₁	—	2	8	no	—
308	C₂²×C₁₀₁	—	2	4	no	—
309	C₂²×C₁₀₁	—	2	4	no	—
310	C₂²×C₁₀₁	—	2	4	no	—
311	C₂²×C₁₀₁	—	2	4	no	—
312	C₂²×C₁₀₁	—	4	4	no	—
313	C₂²×C₁₀₁	—	4	2	no	—
314	C₂²×C₁₀₁	—	4	4	no	—
315	C₂²×C₁₀₁	—	4	2	no	—
316	C₂²×C₁₀₁	—	4	2	no	—
317	C₂²×C₁₀₁	—	4	2	no	—
318	C₂²×C₁₀₁	—	4	16	no	—
319	C₂²×C₁₀₁	—	4	16	no	—
320	C₂²×C₁₀₁	—	4	16	no	—
321	C₂²×C₁₀₁	—	4	16	no	—
322	C₂²×C₁₀₁	—	4	4	no	—
323	C₂²×C₁₀₁	—	4	4	no	—
324	C₂²×C₁₀₁	—	4	8	no	—
325	C₂²×C₁₀₁	—	4	8	no	—
326	C₂²×C₁₀₁	—	4	4	no	—
327	C₂²×C₁₀₁	—	4	2	no	—
328	C₂²×C₁₀₁	—	8	4	no	—
329	C₂²×C₁₀₁	—	8	4	no	—
330	C₂²×C₁₀₁	—	8	4	no	—
331	C₂²×C₁₀₁	#386	1	2	yes	—
332	C₂²×C₁₀₁	#386	1	2	yes	—
333	C₂²×C₁₀₁	#386	1	2	yes	—
334	C₂²×C₁₀₁	#386	1	2	yes	—
335	C₂²×C₁₀₁	C₂×#99	1	4	yes	—
336	C₂²×C₁₀₁	C₂×#99	1	8	yes	complemented
337	C₂²×C₁₀₁	C₂²×C₂²⋊C₄	1	1	yes	characteristic
338	C₂²×C₁₀₁	C₂×C₄×D₄	1	2	yes	—
339	C₂²×C₁₀₁	C₂×#120	1	1	yes	characteristic
340	C₂²×C₁₀₁	C₂×#121	1	2	yes	—
341	C₂²×C₁₀₁	C₂×#123	1	1	yes	characteristic
342	C₄×C₁₀₁	—	4	8	no	—
343	C₄×C₁₀₁	—	4	4	no	—
344	C₄×C₁₀₁	—	4	2	no	—
345	C₄×C₁₀₁	—	8	4	no	—
346	C₂×#1898	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
347	C₂×C₁₀₁	—	2	1	no	—
348	C₂×C₁₀₁	—	2	2	no	—
349	C₂×C₁₀₁	—	2	1	no	—
350	C₂×C₁₀₁	—	2	2	no	—
351	C₂×C₁₀₁	—	2	8	no	—
352	C₂×C₁₀₁	—	2	2	no	—
353	C₂×C₁₀₁	—	2	2	no	—
354	C₂×C₁₀₁	—	2	2	no	—
355	C₂×C₁₀₁	—	4	4	no	—
356	C₂×C₁₀₁	—	8	2	no	—
357	C₂×C₁₀₁	#1898	1	4	yes	direct product factor
358	C₂×C₁₀₁	C₂×#386	1	1	yes	characteristic
359	C₂×C₁₀₁	C₂²×#99	1	2	yes	—
360	C₂²×#120	C₂×C₁₀₁	1	1	yes	characteristic
361	C₂³×C₂²⋊C₄	C₂×C₁₀₁	1	1	yes	characteristic, complemented
362	C₂²×#99	C₂×C₁₀₁	1	2	yes	complemented
363	C₂×#379	C₂×C₁₀₁	1	1	yes	characteristic, complemented
364	#1898	C₂×C₁₀₁	1	8	yes	direct product factor
365	C₂×#342	C₂×C₁₀₁	1	2	yes	complemented
366	C₁₀₁	C₂×#1898	1	1	yes	characteristic, direct product factor, Sylow
367	C₂⁶	C₂²×C₁₀₁	1	1	yes	characteristic
368	C₂³×D₄	C₄×C₁₀₁	1	2	yes	complemented
369	C₂³×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
370	C₂⁴×C₄	—	2	1	no	—
371	C₂×#120	—	2	1	no	—
372	C₂×#120	—	2	2	no	—
373	C₂×#120	—	2	1	no	—
374	C₂×#120	—	2	2	no	—
375	C₂×#120	—	2	2	no	—
376	C₂×#120	C₄×C₁₀₁	1	4	yes	complemented
377	C₂×#120	C₂²×C₁₀₁	1	4	yes	—
378	C₂²×C₂²⋊C₄	—	2	2	no	—
379	C₂²×C₂²⋊C₄	—	2	1	no	—
380	C₂²×C₂²⋊C₄	—	2	8	no	—
381	C₂²×C₂²⋊C₄	—	2	2	no	—
382	C₂²×C₂²⋊C₄	C₄×C₁₀₁	1	2	yes	complemented
383	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	—
384	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	1	yes	characteristic
385	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	—
386	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	4	yes	complemented
387	C₂×#99	—	2	8	no	—
388	C₂×#99	C₂²×C₁₀₁	1	8	yes	complemented
389	#379	—	2	2	no	—
390	#379	C₂²×C₁₀₁	1	4	yes	complemented
391	#342	C₂²×C₁₀₁	1	8	yes	complemented
392	C₂⁵	—	2	4	no	—
393	C₂⁵	—	2	4	no	—
394	C₂⁵	—	4	8	no	—
395	C₂⁵	C₂×C₄×C₁₀₁	1	2	yes	—
396	C₂⁵	C₂×C₄×C₁₀₁	1	2	yes	—
397	C₂⁵	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
398	C₂⁵	D₄×C₁₀₁	1	1	yes	characteristic
399	C₂⁵	D₄×C₁₀₁	1	2	yes	—
400	C₂⁵	D₄×C₁₀₁	1	1	yes	characteristic
401	C₂⁵	D₄×C₁₀₁	1	2	yes	—
402	C₂⁵	D₄×C₁₀₁	1	2	yes	—
403	C₂⁵	C₂³×C₁₀₁	1	2	yes	—
404	C₂⁵	C₂³×C₁₀₁	1	1	yes	characteristic
405	C₂²×D₄	—	2	2	no	—
406	C₂²×D₄	—	2	4	no	—
407	C₂²×D₄	—	2	2	no	—
408	C₂²×D₄	—	2	1	no	—
409	C₂²×D₄	—	2	1	no	—
410	C₂²×D₄	—	2	1	no	—
411	C₂²×D₄	—	2	1	no	—
412	C₂²×D₄	—	2	4	no	—
413	C₂²×D₄	—	2	4	no	—
414	C₂²×D₄	—	4	8	no	—
415	C₂²×D₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
416	C₂²×D₄	C₂×C₄×C₁₀₁	1	8	yes	complemented
417	C₂²×D₄	C₂³×C₁₀₁	1	2	yes	—
418	C₂³×C₄	—	2	8	no	—
419	C₂³×C₄	—	2	2	no	—
420	C₂³×C₄	—	2	4	no	—
421	C₂³×C₄	—	2	2	no	—
422	C₂³×C₄	—	4	8	no	—
423	C₂³×C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
424	C₂³×C₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
425	#120	—	2	4	no	—
426	#120	—	2	8	no	—
427	#120	—	2	4	no	—
428	#120	—	2	4	no	—
429	#120	—	2	8	no	—
430	#120	—	2	4	no	—
431	C₂×C₂²⋊C₄	—	2	8	no	—
432	C₂×C₂²⋊C₄	—	2	16	no	—
433	C₂×C₂²⋊C₄	—	2	2	no	—
434	C₂×C₂²⋊C₄	—	2	4	no	—
435	C₂×C₂²⋊C₄	—	2	2	no	—
436	C₂×C₂²⋊C₄	—	2	2	no	—
437	C₂×C₂²⋊C₄	—	2	4	no	—
438	C₂×C₂²⋊C₄	—	2	4	no	—
439	C₂×C₂²⋊C₄	—	2	1	no	—
440	C₂×C₂²⋊C₄	—	2	1	no	—
441	C₂×C₂²⋊C₄	—	2	1	no	—
442	C₂×C₂²⋊C₄	—	2	1	no	—
443	C₂×C₂²⋊C₄	—	2	16	no	—
444	C₂×C₂²⋊C₄	—	2	4	no	—
445	C₂×C₂²⋊C₄	—	2	4	no	—
446	C₂×C₂²⋊C₄	—	2	8	no	—
447	C₂×C₂²⋊C₄	—	2	2	no	—
448	C₂×C₂²⋊C₄	—	4	8	no	—
449	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	1	8	yes	complemented
450	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
451	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	8	yes	complemented
452	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	4	yes	—
453	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	2	yes	—
454	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	4	yes	—
455	#99	—	2	16	no	—
456	C₂⁴	—	2	8	no	—
457	C₂⁴	—	2	2	no	—
458	C₂⁴	—	2	2	no	—
459	C₂⁴	—	2	8	no	—
460	C₂⁴	—	2	8	no	—
461	C₂⁴	—	2	8	no	—
462	C₂⁴	—	2	8	no	—
463	C₂⁴	—	2	4	no	—
464	C₂⁴	—	2	2	no	—
465	C₂⁴	—	2	8	no	—
466	C₂⁴	—	2	8	no	—
467	C₂⁴	—	2	4	no	—
468	C₂⁴	—	2	2	no	—
469	C₂⁴	—	2	4	no	—
470	C₂⁴	—	2	4	no	—
471	C₂⁴	—	2	1	no	—
472	C₂⁴	—	2	1	no	—
473	C₂⁴	—	2	4	no	—
474	C₂⁴	—	4	4	no	—
475	C₂⁴	—	4	8	no	—
476	C₂⁴	—	4	4	no	—
477	C₂⁴	—	4	4	no	—
478	C₂⁴	—	4	8	no	—
479	C₂⁴	—	4	8	no	—
480	C₂⁴	—	4	4	no	—
481	C₂⁴	—	4	8	no	—
482	C₂⁴	—	4	32	no	—
483	C₂⁴	—	4	32	no	—
484	C₂⁴	—	4	4	no	—
485	C₂⁴	C₂²⋊C₄×C₁₀₁	1	2	yes	—
486	C₂⁴	C₂²⋊C₄×C₁₀₁	1	2	yes	—
487	C₂⁴	C₂²⋊C₄×C₁₀₁	1	4	yes	—
488	C₂⁴	C₂²⋊C₄×C₁₀₁	1	4	yes	—
489	C₂⁴	C₂²⋊C₄×C₁₀₁	1	2	yes	—
490	C₂⁴	C₂²⋊C₄×C₁₀₁	1	2	yes	—
491	C₂⁴	C₂²×C₄×C₁₀₁	1	4	yes	—
492	C₂⁴	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
493	C₂⁴	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
494	C₂⁴	C₂²×C₄×C₁₀₁	1	2	yes	complemented
495	C₂⁴	C₂×D₄×C₁₀₁	1	2	yes	—
496	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
497	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
498	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
499	C₂⁴	C₂×D₄×C₁₀₁	1	2	yes	—
500	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
501	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
502	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
503	C₂⁴	#41×C₁₀₁	1	4	yes	—
504	C₂⁴	C₂⁴×C₁₀₁	1	1	yes	characteristic
505	C₂×D₄	—	2	8	no	—
506	C₂×D₄	—	2	8	no	—
507	C₂×D₄	—	2	2	no	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	—	2	8	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	2	no	—
512	C₂×D₄	—	2	2	no	—
513	C₂×D₄	—	2	4	no	—
514	C₂×D₄	—	4	16	no	—
515	C₂×D₄	—	4	8	no	—
516	C₂×D₄	—	4	8	no	—
517	C₂×D₄	—	4	2	no	—
518	C₂×D₄	—	4	2	no	—
519	C₂×D₄	—	4	4	no	—
520	C₂×D₄	—	4	4	no	—
521	C₂×D₄	—	4	2	no	—
522	C₂×D₄	—	4	2	no	—
523	C₂×D₄	—	4	16	no	—
524	C₂²×C₄	—	2	16	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	1	no	—
528	C₂²×C₄	—	2	1	no	—
529	C₂²×C₄	—	2	4	no	—
530	C₂²×C₄	—	2	8	no	—
531	C₂²×C₄	—	2	4	no	—
532	C₂²×C₄	—	2	4	no	—
533	C₂²×C₄	—	4	32	no	—
534	C₂²×C₄	—	4	8	no	—
535	C₂²×C₄	—	4	16	no	—
536	C₂²×C₄	—	4	4	no	—
537	C₂²×C₄	—	4	8	no	—
538	C₂²×C₄	—	4	4	no	—
539	C₂²×C₄	C₂²×C₄×C₁₀₁	1	2	yes	complemented
540	C₂²×C₄	C₂²×C₄×C₁₀₁	1	4	yes	complemented
541	C₂²⋊C₄	—	2	16	no	—
542	C₂²⋊C₄	—	2	8	no	—
543	C₂²⋊C₄	—	2	8	no	—
544	C₂²⋊C₄	—	2	2	no	—
545	C₂²⋊C₄	—	2	2	no	—
546	C₂²⋊C₄	—	2	8	no	—
547	C₂²⋊C₄	—	2	4	no	—
548	C₂²⋊C₄	—	2	2	no	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	4	no	—
551	C₂²⋊C₄	—	2	4	no	—
552	C₂²⋊C₄	—	4	16	no	—
553	C₂²⋊C₄	—	4	4	no	—
554	C₂²⋊C₄	C₂×D₄×C₁₀₁	1	8	yes	complemented
555	C₂³	—	2	16	no	—
556	C₂³	—	2	16	no	—
557	C₂³	—	2	4	no	—
558	C₂³	—	2	4	no	—
559	C₂³	—	2	4	no	—
560	C₂³	—	2	4	no	—
561	C₂³	—	2	8	no	—
562	C₂³	—	2	8	no	—
563	C₂³	—	2	2	no	—
564	C₂³	—	2	2	no	—
565	C₂³	—	2	4	no	—
566	C₂³	—	2	4	no	—
567	C₂³	—	2	4	no	—
568	C₂³	—	2	4	no	—
569	C₂³	—	2	8	no	—
570	C₂³	—	2	8	no	—
571	C₂³	—	2	8	no	—
572	C₂³	—	2	8	no	—
573	C₂³	—	2	8	no	—
574	C₂³	—	2	2	no	—
575	C₂³	—	2	8	no	—
576	C₂³	—	2	2	no	—
577	C₂³	—	2	8	no	—
578	C₂³	—	2	8	no	—
579	C₂³	—	2	4	no	—
580	C₂³	—	2	4	no	—
581	C₂³	—	2	2	no	—
582	C₂³	—	2	4	no	—
583	C₂³	—	4	4	no	—
584	C₂³	—	4	4	no	—
585	C₂³	—	4	4	no	—
586	C₂³	—	4	2	no	—
587	C₂³	—	4	4	no	—
588	C₂³	—	4	8	no	—
589	C₂³	—	4	2	no	—
590	C₂³	—	4	2	no	—
591	C₂³	—	4	4	no	—
592	C₂³	—	4	4	no	—
593	C₂³	—	4	8	no	—
594	C₂³	—	4	2	no	—
595	C₂³	—	4	32	no	—
596	C₂³	—	4	32	no	—
597	C₂³	—	4	16	no	—
598	C₂³	—	4	16	no	—
599	C₂³	—	4	32	no	—
600	C₂³	—	4	32	no	—
601	C₂³	—	4	16	no	—
602	C₂³	—	4	16	no	—
603	C₂³	—	4	8	no	—
604	C₂³	—	4	8	no	—
605	C₂³	—	4	4	no	—
606	C₂³	—	4	4	no	—
607	C₂³	—	4	4	no	—
608	C₂³	—	4	2	no	—
609	C₂³	—	4	2	no	—
610	C₂³	—	8	8	no	—
611	C₂³	#99×C₁₀₁	1	8	yes	complemented
612	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	4	yes	—
613	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	4	yes	—
614	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
615	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
616	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
617	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
618	C₂³	C₄×D₄×C₁₀₁	1	4	yes	—
619	C₂³	C₄×D₄×C₁₀₁	1	4	yes	—
620	C₂³	#120×C₁₀₁	1	2	yes	—
621	C₂³	#120×C₁₀₁	1	2	yes	—
622	C₂³	#121×C₁₀₁	1	4	yes	—
623	C₂³	#121×C₁₀₁	1	4	yes	—
624	C₂³	#123×C₁₀₁	1	2	yes	—
625	C₂³	#123×C₁₀₁	1	2	yes	—
626	C₂³	C₂³×C₄×C₁₀₁	1	1	yes	characteristic
627	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
628	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
629	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
630	C₂³	C₂×#41×C₁₀₁	1	2	yes	—
631	D₄	—	4	16	no	—
632	D₄	—	4	16	no	—
633	D₄	—	4	2	no	—
634	D₄	—	4	4	no	—
635	D₄	—	4	2	no	—
636	D₄	—	4	4	no	—
637	D₄	—	4	4	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	4	no	—
640	C₂×C₄	—	2	4	no	—
641	C₂×C₄	—	2	8	no	—
642	C₂×C₄	—	4	32	no	—
643	C₂×C₄	—	4	16	no	—
644	C₂×C₄	—	4	8	no	—
645	C₂×C₄	—	4	4	no	—
646	C₂×C₄	—	4	4	no	—
647	C₂×C₄	—	4	2	no	—
648	C₂×C₄	—	4	2	no	—
649	C₂×C₄	—	4	4	no	—
650	C₂×C₄	—	4	8	no	—
651	C₂×C₄	—	4	4	no	—
652	C₂×C₄	—	8	8	no	—
653	C₂²	—	2	8	no	—
654	C₂²	—	2	8	no	—
655	C₂²	—	2	16	no	—
656	C₂²	—	2	4	no	—
657	C₂²	—	2	8	no	—
658	C₂²	—	2	16	no	—
659	C₂²	—	2	4	no	—
660	C₂²	—	2	8	no	—
661	C₂²	—	2	4	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	4	no	—
667	C₂²	—	2	2	no	—
668	C₂²	—	2	2	no	—
669	C₂²	—	2	4	no	—
670	C₂²	—	2	4	no	—
671	C₂²	—	2	4	no	—
672	C₂²	—	4	4	no	—
673	C₂²	—	4	2	no	—
674	C₂²	—	4	4	no	—
675	C₂²	—	4	2	no	—
676	C₂²	—	4	2	no	—
677	C₂²	—	4	2	no	—
678	C₂²	—	4	16	no	—
679	C₂²	—	4	16	no	—
680	C₂²	—	4	16	no	—
681	C₂²	—	4	16	no	—
682	C₂²	—	4	4	no	—
683	C₂²	—	4	4	no	—
684	C₂²	—	4	8	no	—
685	C₂²	—	4	8	no	—
686	C₂²	—	4	2	no	—
687	C₂²	—	4	4	no	—
688	C₂²	—	8	4	no	—
689	C₂²	—	8	4	no	—
690	C₂²	—	8	4	no	—
691	C₂²	#386×C₁₀₁	1	2	yes	—
692	C₂²	#386×C₁₀₁	1	2	yes	—
693	C₂²	#386×C₁₀₁	1	2	yes	—
694	C₂²	#386×C₁₀₁	1	2	yes	—
695	C₂²	C₂×#99×C₁₀₁	1	4	yes	—
696	C₂²	C₂×#99×C₁₀₁	1	8	yes	complemented
697	C₂²	C₂²×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
698	C₂²	C₂×C₄×D₄×C₁₀₁	1	2	yes	—
699	C₂²	C₂×#120×C₁₀₁	1	1	yes	characteristic
700	C₂²	C₂×#121×C₁₀₁	1	2	yes	—
701	C₂²	C₂×#123×C₁₀₁	1	1	yes	characteristic
702	C₄	—	4	8	no	—
703	C₄	—	4	2	no	—
704	C₄	—	4	4	no	—
705	C₄	—	8	4	no	—
706	C₂	—	2	1	no	—
707	C₂	—	2	2	no	—
708	C₂	—	2	8	no	—
709	C₂	—	2	1	no	—
710	C₂	—	2	2	no	—
711	C₂	—	2	2	no	—
712	C₂	—	2	2	no	—
713	C₂	—	2	2	no	—
714	C₂	—	4	4	no	—
715	C₂	—	8	2	no	—
716	C₂	C₁₀₁×#1898	1	4	yes	direct product factor
717	C₂	C₂×#386×C₁₀₁	1	1	yes	characteristic
718	C₂	C₂²×#99×C₁₀₁	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₀₁	C₂×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₁₀₁
Frattini, cosocle	C₂⁴	C₂⁴×C₁₀₁
prime radical	C₂²×#120×C₁₀₁	C₂
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₀₁ ◁ C₂⁶×C₁₀₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂³×C₂²⋊C₄×C₁₀₁	C₂	semidirect
3. C₂²×#99×C₁₀₁	C₂	semidirect
4. C₂×#379×C₁₀₁	C₂	semidirect
5. C₁₀₁×#1898	C₂	direct (N × H)
6. C₂×#342×C₁₀₁	C₂	semidirect
8. C₂³×D₄×C₁₀₁	C₄	semidirect
16. C₂×#120×C₁₀₁	C₄	semidirect
22. C₂²×C₂²⋊C₄×C₁₀₁	C₄	semidirect
26. C₂²×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
28. C₂×#99×C₁₀₁	C₂²	semidirect
30. #379×C₁₀₁	C₂²	semidirect
31. #342×C₁₀₁	C₂²	semidirect
37. C₂⁵×C₁₀₁	C₂×C₄	semidirect
55. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
56. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
63. C₂³×C₄×C₁₀₁	C₂×C₄	semidirect
64. C₂³×C₄×C₁₀₁	C₂×C₄	semidirect
89. C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	semidirect
90. C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	semidirect
91. C₂×C₂²⋊C₄×C₁₀₁	D₄	semidirect
134. C₂⁴×C₁₀₁	C₂²×C₄	semidirect
179. C₂²×C₄×C₁₀₁	C₂²×C₄	semidirect
180. C₂²×C₄×C₁₀₁	C₂²×C₄	semidirect
194. C₂²⋊C₄×C₁₀₁	C₂×D₄	semidirect
251. C₂³×C₁₀₁	#99	semidirect
336. C₂²×C₁₀₁	C₂×#99	semidirect
346. C₂×#1898	C₁₀₁	direct (N × H)
357. C₂×C₁₀₁	#1898	direct (N × H)
361. C₂³×C₂²⋊C₄	C₂×C₁₀₁	semidirect
362. C₂²×#99	C₂×C₁₀₁	semidirect
363. C₂×#379	C₂×C₁₀₁	semidirect
364. #1898	C₂×C₁₀₁	direct (N × H)
365. C₂×#342	C₂×C₁₀₁	semidirect
366. C₁₀₁	C₂×#1898	direct (N × H)
368. C₂³×D₄	C₄×C₁₀₁	semidirect
376. C₂×#120	C₄×C₁₀₁	semidirect
382. C₂²×C₂²⋊C₄	C₄×C₁₀₁	semidirect
386. C₂²×C₂²⋊C₄	C₂²×C₁₀₁	semidirect
388. C₂×#99	C₂²×C₁₀₁	semidirect
390. #379	C₂²×C₁₀₁	semidirect
391. #342	C₂²×C₁₀₁	semidirect
397. C₂⁵	C₂×C₄×C₁₀₁	semidirect
415. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
416. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
423. C₂³×C₄	C₂×C₄×C₁₀₁	semidirect
424. C₂³×C₄	C₂×C₄×C₁₀₁	semidirect
449. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	semidirect
450. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	semidirect
451. C₂×C₂²⋊C₄	D₄×C₁₀₁	semidirect
494. C₂⁴	C₂²×C₄×C₁₀₁	semidirect
539. C₂²×C₄	C₂²×C₄×C₁₀₁	semidirect
540. C₂²×C₄	C₂²×C₄×C₁₀₁	semidirect
554. C₂²⋊C₄	C₂×D₄×C₁₀₁	semidirect
611. C₂³	#99×C₁₀₁	semidirect
696. C₂²	C₂×#99×C₁₀₁	semidirect
716. C₂	C₁₀₁×#1898	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×#120×C₁₀₁	2
C₂³×C₂²⋊C₄×C₁₀₁	2
C₂²×#99×C₁₀₁	2
C₂×#379×C₁₀₁	2
C₁₀₁×#1898	2
C₂×#342×C₁₀₁	2
C₂×#1898	101

Subgroups — C2×C101×#1898 #38803132

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₀₁×#1898 #38803132