Subgroups — C₁₀₁×#14716 #38796867

Order 25856.

4878 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#121×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#120×C₁₀₁	C₂	1	2	yes	maximal, complemented
3	C₂³×C₂²⋊C₄×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#392×C₁₀₁	C₂	1	2	yes	maximal, complemented
5	C₂×#386×C₁₀₁	C₂	1	2	yes	maximal, complemented
6	C₁₀₁×#1439	C₂	1	2	yes	maximal, complemented
7	C₁₀₁×#1438	C₂	1	4	yes	maximal, complemented
8	C₁₀₁×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂⁶×C₁₀₁	C₂²	1	1	yes	characteristic
10	C₂³×D₄×C₁₀₁	C₂²	1	2	yes	—
11	C₂³×D₄×C₁₀₁	C₂²	1	4	yes	—
12	C₂³×D₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
13	C₂⁴×C₄×C₁₀₁	C₂²	1	1	yes	characteristic
14	C₂⁴×C₄×C₁₀₁	C₂²	1	1	yes	characteristic
15	C₂×#121×C₁₀₁	—	2	8	no	—
16	C₂×#121×C₁₀₁	—	2	4	no	—
17	C₂×#120×C₁₀₁	—	2	8	no	—
18	C₂×#120×C₁₀₁	—	2	8	no	—
19	C₂×#120×C₁₀₁	—	2	8	no	—
20	C₂²×C₄⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
22	C₂²×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
23	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	—
24	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	4	yes	—
25	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	—
26	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	—
27	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	complemented
28	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	4	yes	complemented
29	#392×C₁₀₁	—	2	8	no	—
30	#386×C₁₀₁	—	2	8	no	—
31	C₂×#95×C₁₀₁	C₂²	1	2	yes	complemented
32	C₂×#95×C₁₀₁	C₂²	1	4	yes	complemented
33	C₂×#95×C₁₀₁	C₂²	1	2	yes	complemented
34	C₂⁵×C₁₀₁	—	2	4	no	—
35	C₂⁵×C₁₀₁	—	2	2	no	—
36	C₂⁵×C₁₀₁	—	2	4	no	—
37	C₂⁵×C₁₀₁	—	2	2	no	—
38	C₂⁵×C₁₀₁	—	2	4	no	—
39	C₂⁵×C₁₀₁	—	2	4	no	—
40	C₂⁵×C₁₀₁	—	4	2	no	—
41	C₂⁵×C₁₀₁	—	4	2	no	—
42	C₂⁵×C₁₀₁	D₄	1	4	yes	complemented
43	C₂⁵×C₁₀₁	C₂³	1	2	yes	—
44	C₂⁵×C₁₀₁	C₂³	1	2	yes	—
45	C₂⁵×C₁₀₁	C₂³	1	1	yes	characteristic
46	C₂²×D₄×C₁₀₁	—	2	8	no	—
47	C₂²×D₄×C₁₀₁	—	2	8	no	—
48	C₂²×D₄×C₁₀₁	—	2	4	no	—
49	C₂²×D₄×C₁₀₁	—	2	4	no	—
50	C₂²×D₄×C₁₀₁	—	2	4	no	—
51	C₂²×D₄×C₁₀₁	—	2	4	no	—
52	C₂²×D₄×C₁₀₁	—	2	4	no	—
53	C₂²×D₄×C₁₀₁	—	2	4	no	—
54	C₂²×D₄×C₁₀₁	—	2	4	no	—
55	C₂²×D₄×C₁₀₁	—	2	8	no	—
56	C₂²×D₄×C₁₀₁	—	2	8	no	—
57	C₂²×D₄×C₁₀₁	—	2	8	no	—
58	C₂²×D₄×C₁₀₁	—	2	2	no	—
59	C₂²×D₄×C₁₀₁	—	2	4	no	—
60	C₂²×D₄×C₁₀₁	—	4	4	no	—
61	C₂²×D₄×C₁₀₁	—	4	4	no	—
62	C₂²×D₄×C₁₀₁	—	4	2	no	—
63	C₂²×D₄×C₁₀₁	D₄	1	8	yes	complemented
64	C₂³×C₄×C₁₀₁	—	2	2	no	—
65	C₂³×C₄×C₁₀₁	—	2	4	no	—
66	C₂³×C₄×C₁₀₁	—	2	4	no	—
67	C₂³×C₄×C₁₀₁	—	2	4	no	—
68	C₂³×C₄×C₁₀₁	—	2	4	no	—
69	C₂³×C₄×C₁₀₁	—	4	2	no	—
70	C₂³×C₄×C₁₀₁	—	4	2	no	—
71	C₂³×C₄×C₁₀₁	D₄	1	4	yes	complemented
72	C₂³×C₄×C₁₀₁	C₂³	1	2	yes	—
73	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₁₀₁	C₂³	1	2	yes	—
75	C₂³×C₄×C₁₀₁	C₂³	1	4	yes	—
76	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
77	#121×C₁₀₁	—	2	32	no	—
78	#120×C₁₀₁	—	2	64	no	—
79	C₂×C₄⋊C₄×C₁₀₁	—	2	4	no	—
80	C₂×C₄⋊C₄×C₁₀₁	—	2	2	no	—
81	C₂×C₂²⋊C₄×C₁₀₁	—	2	32	no	—
82	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
83	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
84	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
85	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
86	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
87	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
88	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
89	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
90	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
91	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
92	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
93	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
94	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
95	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
96	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
97	C₂×C₂²⋊C₄×C₁₀₁	—	4	4	no	—
98	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	8	yes	complemented
99	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	8	yes	complemented
100	#95×C₁₀₁	—	2	8	no	—
101	#95×C₁₀₁	—	2	4	no	—
102	#95×C₁₀₁	—	4	2	no	—
103	C₂⁴×C₁₀₁	—	2	2	no	—
104	C₂⁴×C₁₀₁	—	2	2	no	—
105	C₂⁴×C₁₀₁	—	2	2	no	—
106	C₂⁴×C₁₀₁	—	2	2	no	—
107	C₂⁴×C₁₀₁	—	2	8	no	—
108	C₂⁴×C₁₀₁	—	2	8	no	—
109	C₂⁴×C₁₀₁	—	2	16	no	—
110	C₂⁴×C₁₀₁	—	2	8	no	—
111	C₂⁴×C₁₀₁	—	2	16	no	—
112	C₂⁴×C₁₀₁	—	2	2	no	—
113	C₂⁴×C₁₀₁	—	2	2	no	—
114	C₂⁴×C₁₀₁	—	2	4	no	—
115	C₂⁴×C₁₀₁	—	2	4	no	—
116	C₂⁴×C₁₀₁	—	2	2	no	—
117	C₂⁴×C₁₀₁	—	2	2	no	—
118	C₂⁴×C₁₀₁	—	2	4	no	—
119	C₂⁴×C₁₀₁	—	2	4	no	—
120	C₂⁴×C₁₀₁	—	2	16	no	—
121	C₂⁴×C₁₀₁	—	2	2	no	—
122	C₂⁴×C₁₀₁	—	2	2	no	—
123	C₂⁴×C₁₀₁	—	2	2	no	—
124	C₂⁴×C₁₀₁	—	2	4	no	—
125	C₂⁴×C₁₀₁	—	2	2	no	—
126	C₂⁴×C₁₀₁	—	2	2	no	—
127	C₂⁴×C₁₀₁	—	2	2	no	—
128	C₂⁴×C₁₀₁	—	2	4	no	—
129	C₂⁴×C₁₀₁	—	2	4	no	—
130	C₂⁴×C₁₀₁	—	2	4	no	—
131	C₂⁴×C₁₀₁	—	4	8	no	—
132	C₂⁴×C₁₀₁	—	4	16	no	—
133	C₂⁴×C₁₀₁	—	4	16	no	—
134	C₂⁴×C₁₀₁	—	4	16	no	—
135	C₂⁴×C₁₀₁	—	4	16	no	—
136	C₂⁴×C₁₀₁	—	4	4	no	—
137	C₂⁴×C₁₀₁	—	4	4	no	—
138	C₂⁴×C₁₀₁	—	4	8	no	—
139	C₂⁴×C₁₀₁	—	4	4	no	—
140	C₂⁴×C₁₀₁	—	4	8	no	—
141	C₂⁴×C₁₀₁	—	4	4	no	—
142	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
143	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
144	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
145	C₂⁴×C₁₀₁	C₂×D₄	1	2	yes	—
146	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
147	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
148	C₂⁴×C₁₀₁	C₂×D₄	1	2	yes	—
149	C₂⁴×C₁₀₁	#41	1	4	yes	—
150	C₂⁴×C₁₀₁	#41	1	2	yes	—
151	C₂⁴×C₁₀₁	C₂⁴	1	1	yes	characteristic
152	C₂×D₄×C₁₀₁	—	2	32	no	—
153	C₂×D₄×C₁₀₁	—	2	8	no	—
154	C₂×D₄×C₁₀₁	—	2	16	no	—
155	C₂×D₄×C₁₀₁	—	2	16	no	—
156	C₂×D₄×C₁₀₁	—	2	16	no	—
157	C₂×D₄×C₁₀₁	—	4	16	no	—
158	C₂×D₄×C₁₀₁	—	4	16	no	—
159	C₂×D₄×C₁₀₁	—	4	16	no	—
160	C₂×D₄×C₁₀₁	—	4	4	no	—
161	C₂×D₄×C₁₀₁	—	4	16	no	—
162	C₂×D₄×C₁₀₁	—	4	16	no	—
163	C₂×D₄×C₁₀₁	—	4	16	no	—
164	C₂×D₄×C₁₀₁	—	4	8	no	—
165	C₂×D₄×C₁₀₁	—	4	8	no	—
166	C₂×D₄×C₁₀₁	—	4	8	no	—
167	C₂×D₄×C₁₀₁	—	4	16	no	—
168	C₂×D₄×C₁₀₁	—	4	8	no	—
169	C₂×D₄×C₁₀₁	—	4	4	no	—
170	C₂²×C₄×C₁₀₁	—	2	2	no	—
171	C₂²×C₄×C₁₀₁	—	2	2	no	—
172	C₂²×C₄×C₁₀₁	—	2	8	no	—
173	C₂²×C₄×C₁₀₁	—	2	8	no	—
174	C₂²×C₄×C₁₀₁	—	2	2	no	—
175	C₂²×C₄×C₁₀₁	—	2	4	no	—
176	C₂²×C₄×C₁₀₁	—	2	4	no	—
177	C₂²×C₄×C₁₀₁	—	2	2	no	—
178	C₂²×C₄×C₁₀₁	—	2	2	no	—
179	C₂²×C₄×C₁₀₁	—	2	2	no	—
180	C₂²×C₄×C₁₀₁	—	2	2	no	—
181	C₂²×C₄×C₁₀₁	—	2	2	no	—
182	C₂²×C₄×C₁₀₁	—	2	2	no	—
183	C₂²×C₄×C₁₀₁	—	2	4	no	—
184	C₂²×C₄×C₁₀₁	—	2	4	no	—
185	C₂²×C₄×C₁₀₁	—	2	2	no	—
186	C₂²×C₄×C₁₀₁	—	2	2	no	—
187	C₂²×C₄×C₁₀₁	—	2	2	no	—
188	C₂²×C₄×C₁₀₁	—	2	4	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	—	2	4	no	—
193	C₂²×C₄×C₁₀₁	—	2	8	no	—
194	C₂²×C₄×C₁₀₁	—	4	4	no	—
195	C₂²×C₄×C₁₀₁	—	4	16	no	—
196	C₂²×C₄×C₁₀₁	—	4	16	no	—
197	C₂²×C₄×C₁₀₁	—	4	4	no	—
198	C₂²×C₄×C₁₀₁	—	4	4	no	—
199	C₂²×C₄×C₁₀₁	C₂×D₄	1	8	yes	—
200	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
201	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
202	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
203	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
204	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
205	C₄⋊C₄×C₁₀₁	—	2	8	no	—
206	C₂²⋊C₄×C₁₀₁	—	2	16	no	—
207	C₂²⋊C₄×C₁₀₁	—	2	32	no	—
208	C₂²⋊C₄×C₁₀₁	—	2	16	no	—
209	C₂²⋊C₄×C₁₀₁	—	2	16	no	—
210	C₂²⋊C₄×C₁₀₁	—	2	16	no	—
211	C₂²⋊C₄×C₁₀₁	—	4	16	no	—
212	C₂³×C₁₀₁	—	2	2	no	—
213	C₂³×C₁₀₁	—	2	4	no	—
214	C₂³×C₁₀₁	—	2	2	no	—
215	C₂³×C₁₀₁	—	2	4	no	—
216	C₂³×C₁₀₁	—	2	2	no	—
217	C₂³×C₁₀₁	—	2	4	no	—
218	C₂³×C₁₀₁	—	2	2	no	—
219	C₂³×C₁₀₁	—	2	4	no	—
220	C₂³×C₁₀₁	—	2	8	no	—
221	C₂³×C₁₀₁	—	2	8	no	—
222	C₂³×C₁₀₁	—	2	8	no	—
223	C₂³×C₁₀₁	—	2	8	no	—
224	C₂³×C₁₀₁	—	2	32	no	—
225	C₂³×C₁₀₁	—	2	4	no	—
226	C₂³×C₁₀₁	—	2	8	no	—
227	C₂³×C₁₀₁	—	2	4	no	—
228	C₂³×C₁₀₁	—	2	4	no	—
229	C₂³×C₁₀₁	—	2	4	no	—
230	C₂³×C₁₀₁	—	2	4	no	—
231	C₂³×C₁₀₁	—	2	4	no	—
232	C₂³×C₁₀₁	—	2	8	no	—
233	C₂³×C₁₀₁	—	2	8	no	—
234	C₂³×C₁₀₁	—	2	8	no	—
235	C₂³×C₁₀₁	—	2	8	no	—
236	C₂³×C₁₀₁	—	2	8	no	—
237	C₂³×C₁₀₁	—	2	4	no	—
238	C₂³×C₁₀₁	—	2	4	no	—
239	C₂³×C₁₀₁	—	2	4	no	—
240	C₂³×C₁₀₁	—	2	8	no	—
241	C₂³×C₁₀₁	—	2	8	no	—
242	C₂³×C₁₀₁	—	4	64	no	—
243	C₂³×C₁₀₁	—	4	16	no	—
244	C₂³×C₁₀₁	—	4	16	no	—
245	C₂³×C₁₀₁	—	4	16	no	—
246	C₂³×C₁₀₁	—	4	64	no	—
247	C₂³×C₁₀₁	—	4	16	no	—
248	C₂³×C₁₀₁	—	4	16	no	—
249	C₂³×C₁₀₁	—	4	2	no	—
250	C₂³×C₁₀₁	—	4	4	no	—
251	C₂³×C₁₀₁	—	4	2	no	—
252	C₂³×C₁₀₁	—	4	2	no	—
253	C₂³×C₁₀₁	—	4	2	no	—
254	C₂³×C₁₀₁	—	4	4	no	—
255	C₂³×C₁₀₁	—	4	4	no	—
256	C₂³×C₁₀₁	—	4	4	no	—
257	C₂³×C₁₀₁	—	4	4	no	—
258	C₂³×C₁₀₁	—	4	4	no	—
259	C₂³×C₁₀₁	—	4	16	no	—
260	C₂³×C₁₀₁	—	4	2	no	—
261	C₂³×C₁₀₁	—	4	2	no	—
262	C₂³×C₁₀₁	—	4	2	no	—
263	C₂³×C₁₀₁	—	4	2	no	—
264	C₂³×C₁₀₁	—	4	4	no	—
265	C₂³×C₁₀₁	—	4	2	no	—
266	C₂³×C₁₀₁	—	4	4	no	—
267	C₂³×C₁₀₁	—	4	2	no	—
268	C₂³×C₁₀₁	—	4	2	no	—
269	C₂³×C₁₀₁	—	4	4	no	—
270	C₂³×C₁₀₁	—	4	2	no	—
271	C₂³×C₁₀₁	—	4	4	no	—
272	C₂³×C₁₀₁	—	4	4	no	—
273	C₂³×C₁₀₁	—	4	4	no	—
274	C₂³×C₁₀₁	—	4	4	no	—
275	C₂³×C₁₀₁	—	4	4	no	—
276	C₂³×C₁₀₁	—	4	4	no	—
277	C₂³×C₁₀₁	—	4	4	no	—
278	C₂³×C₁₀₁	#120	1	8	yes	—
279	C₂³×C₁₀₁	#120	1	4	yes	—
280	C₂³×C₁₀₁	#121	1	8	yes	—
281	C₂³×C₁₀₁	#121	1	4	yes	—
282	C₂³×C₁₀₁	#121	1	8	yes	complemented
283	C₂³×C₁₀₁	#127	1	4	yes	—
284	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
285	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
286	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
287	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
288	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
289	C₂³×C₁₀₁	C₂×#41	1	1	yes	characteristic
290	C₂³×C₁₀₁	C₂×#41	1	2	yes	—
291	C₂³×C₁₀₁	H(5,𝔽₂)	1	2	yes	—
292	C₂³×C₁₀₁	H(5,𝔽₂)	1	2	yes	—
293	D₄×C₁₀₁	—	4	16	no	—
294	D₄×C₁₀₁	—	4	64	no	—
295	D₄×C₁₀₁	—	4	32	no	—
296	C₂×C₄×C₁₀₁	—	2	2	no	—
297	C₂×C₄×C₁₀₁	—	2	2	no	—
298	C₂×C₄×C₁₀₁	—	2	8	no	—
299	C₂×C₄×C₁₀₁	—	2	2	no	—
300	C₂×C₄×C₁₀₁	—	2	2	no	—
301	C₂×C₄×C₁₀₁	—	2	4	no	—
302	C₂×C₄×C₁₀₁	—	2	4	no	—
303	C₂×C₄×C₁₀₁	—	2	8	no	—
304	C₂×C₄×C₁₀₁	—	2	4	no	—
305	C₂×C₄×C₁₀₁	—	2	4	no	—
306	C₂×C₄×C₁₀₁	—	2	2	no	—
307	C₂×C₄×C₁₀₁	—	2	8	no	—
308	C₂×C₄×C₁₀₁	—	2	8	no	—
309	C₂×C₄×C₁₀₁	—	2	8	no	—
310	C₂×C₄×C₁₀₁	—	4	16	no	—
311	C₂×C₄×C₁₀₁	—	4	16	no	—
312	C₂×C₄×C₁₀₁	—	4	2	no	—
313	C₂×C₄×C₁₀₁	—	4	2	no	—
314	C₂×C₄×C₁₀₁	—	4	2	no	—
315	C₂×C₄×C₁₀₁	—	4	4	no	—
316	C₂×C₄×C₁₀₁	—	4	2	no	—
317	C₂×C₄×C₁₀₁	—	4	2	no	—
318	C₂×C₄×C₁₀₁	—	4	4	no	—
319	C₂×C₄×C₁₀₁	—	4	2	no	—
320	C₂×C₄×C₁₀₁	—	4	4	no	—
321	C₂×C₄×C₁₀₁	—	4	4	no	—
322	C₂×C₄×C₁₀₁	—	4	4	no	—
323	C₂×C₄×C₁₀₁	—	4	4	no	—
324	C₂×C₄×C₁₀₁	#120	1	4	yes	complemented
325	C₂²×C₁₀₁	—	2	4	no	—
326	C₂²×C₁₀₁	—	2	4	no	—
327	C₂²×C₁₀₁	—	2	4	no	—
328	C₂²×C₁₀₁	—	2	4	no	—
329	C₂²×C₁₀₁	—	2	16	no	—
330	C₂²×C₁₀₁	—	2	16	no	—
331	C₂²×C₁₀₁	—	2	4	no	—
332	C₂²×C₁₀₁	—	2	4	no	—
333	C₂²×C₁₀₁	—	2	8	no	—
334	C₂²×C₁₀₁	—	2	16	no	—
335	C₂²×C₁₀₁	—	4	64	no	—
336	C₂²×C₁₀₁	—	4	4	no	—
337	C₂²×C₁₀₁	—	4	4	no	—
338	C₂²×C₁₀₁	—	4	4	no	—
339	C₂²×C₁₀₁	—	4	4	no	—
340	C₂²×C₁₀₁	—	4	8	no	—
341	C₂²×C₁₀₁	—	4	8	no	—
342	C₂²×C₁₀₁	—	4	8	no	—
343	C₂²×C₁₀₁	—	4	4	no	—
344	C₂²×C₁₀₁	—	4	4	no	—
345	C₂²×C₁₀₁	—	4	4	no	—
346	C₂²×C₁₀₁	—	4	4	no	—
347	C₂²×C₁₀₁	—	4	4	no	—
348	C₂²×C₁₀₁	—	4	8	no	—
349	C₂²×C₁₀₁	—	4	8	no	—
350	C₂²×C₁₀₁	—	8	2	no	—
351	C₂²×C₁₀₁	—	8	2	no	—
352	C₂²×C₁₀₁	—	8	4	no	—
353	C₂²×C₁₀₁	—	8	4	no	—
354	C₂²×C₁₀₁	—	8	2	no	—
355	C₂²×C₁₀₁	—	8	2	no	—
356	C₂²×C₁₀₁	#392	1	8	yes	complemented
357	C₂²×C₁₀₁	C₂×#120	1	1	yes	characteristic
358	C₂²×C₁₀₁	C₂×#120	1	1	yes	characteristic
359	C₂²×C₁₀₁	C₂×#120	1	2	yes	—
360	C₂²×C₁₀₁	C₂×#121	1	1	yes	characteristic
361	C₂²×C₁₀₁	C₂×#121	1	2	yes	—
362	C₂²×C₁₀₁	C₂×#121	1	2	yes	—
363	C₂²×C₁₀₁	#525	1	1	yes	characteristic
364	C₂²×C₁₀₁	#525	1	2	yes	—
365	C₂²×C₁₀₁	C₂×#127	1	1	yes	characteristic
366	C₂²×C₁₀₁	#534	1	1	yes	characteristic
367	C₂²×C₁₀₁	#534	1	2	yes	—
368	C₂²×C₁₀₁	#535	1	1	yes	characteristic
369	C₂²×C₁₀₁	#538	1	2	yes	—
370	C₂²×C₁₀₁	D₄²	1	4	yes	—
371	C₂²×C₁₀₁	D₄²	1	4	yes	—
372	C₂²×C₁₀₁	#546	1	4	yes	—
373	C₂²×C₁₀₁	#546	1	4	yes	—
374	C₄×C₁₀₁	—	2	4	no	—
375	C₄×C₁₀₁	—	4	4	no	—
376	C₄×C₁₀₁	—	4	2	no	—
377	C₄×C₁₀₁	—	4	8	no	—
378	C₄×C₁₀₁	—	4	4	no	—
379	#14716	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
380	C₂×C₁₀₁	—	2	8	no	—
381	C₂×C₁₀₁	—	4	8	no	—
382	C₂×C₁₀₁	—	8	4	no	—
383	C₂×C₁₀₁	C₂×#392	1	1	yes	characteristic
384	C₂×C₁₀₁	#2403	1	1	yes	characteristic
385	C₂×C₁₀₁	#2404	1	1	yes	characteristic
386	C₂×C₁₀₁	#2410	1	4	yes	—
387	C₂×C₁₀₁	#2424	1	4	yes	—
388	C₂×C₁₀₁	#2433	1	1	yes	characteristic
389	C₂×C₁₀₁	#2539	1	1	yes	characteristic
390	C₂×C₁₀₁	#2617	1	1	yes	characteristic
391	C₂×C₁₀₁	#2847	1	1	yes	characteristic
392	C₂²×#121	C₂×C₁₀₁	1	1	yes	characteristic, complemented
393	C₂²×#120	C₂×C₁₀₁	1	2	yes	complemented
394	C₂³×C₂²⋊C₄	C₂×C₁₀₁	1	1	yes	characteristic, complemented
395	C₂×#392	C₂×C₁₀₁	1	2	yes	complemented
396	C₂×#386	C₂×C₁₀₁	1	2	yes	complemented
397	#1439	C₂×C₁₀₁	1	2	yes	complemented
398	#1438	C₂×C₁₀₁	1	4	yes	complemented
399	C₂²⋊#95	C₂×C₁₀₁	1	1	yes	characteristic, complemented
400	C₁₀₁	#14716	1	1	yes	characteristic, direct product factor, Sylow
401	C₂⁶	C₂²×C₁₀₁	1	1	yes	characteristic
402	C₂³×D₄	C₂²×C₁₀₁	1	2	yes	—
403	C₂³×D₄	C₂²×C₁₀₁	1	4	yes	—
404	C₂³×D₄	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
405	C₂⁴×C₄	C₂²×C₁₀₁	1	1	yes	characteristic
406	C₂⁴×C₄	C₂²×C₁₀₁	1	1	yes	characteristic
407	C₂×#121	—	2	8	no	—
408	C₂×#121	—	2	4	no	—
409	C₂×#120	—	2	8	no	—
410	C₂×#120	—	2	8	no	—
411	C₂×#120	—	2	8	no	—
412	C₂²×C₄⋊C₄	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
413	C₂²×C₂²⋊C₄	—	2	4	no	—
414	C₂²×C₂²⋊C₄	—	2	8	no	—
415	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	—
416	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	4	yes	—
417	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	—
418	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	—
419	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	complemented
420	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	4	yes	complemented
421	#392	—	2	8	no	—
422	#386	—	2	8	no	—
423	C₂×#95	C₂²×C₁₀₁	1	2	yes	complemented
424	C₂×#95	C₂²×C₁₀₁	1	4	yes	complemented
425	C₂×#95	C₂²×C₁₀₁	1	2	yes	complemented
426	C₂⁵	—	2	4	no	—
427	C₂⁵	—	2	2	no	—
428	C₂⁵	—	2	4	no	—
429	C₂⁵	—	2	2	no	—
430	C₂⁵	—	2	4	no	—
431	C₂⁵	—	2	4	no	—
432	C₂⁵	—	4	2	no	—
433	C₂⁵	—	4	2	no	—
434	C₂⁵	D₄×C₁₀₁	1	4	yes	complemented
435	C₂⁵	C₂³×C₁₀₁	1	2	yes	—
436	C₂⁵	C₂³×C₁₀₁	1	2	yes	—
437	C₂⁵	C₂³×C₁₀₁	1	1	yes	characteristic
438	C₂²×D₄	—	2	8	no	—
439	C₂²×D₄	—	2	8	no	—
440	C₂²×D₄	—	2	4	no	—
441	C₂²×D₄	—	2	4	no	—
442	C₂²×D₄	—	2	4	no	—
443	C₂²×D₄	—	2	4	no	—
444	C₂²×D₄	—	2	4	no	—
445	C₂²×D₄	—	2	4	no	—
446	C₂²×D₄	—	2	4	no	—
447	C₂²×D₄	—	2	8	no	—
448	C₂²×D₄	—	2	8	no	—
449	C₂²×D₄	—	2	8	no	—
450	C₂²×D₄	—	2	2	no	—
451	C₂²×D₄	—	2	4	no	—
452	C₂²×D₄	—	4	4	no	—
453	C₂²×D₄	—	4	4	no	—
454	C₂²×D₄	—	4	2	no	—
455	C₂²×D₄	D₄×C₁₀₁	1	8	yes	complemented
456	C₂³×C₄	—	2	2	no	—
457	C₂³×C₄	—	2	4	no	—
458	C₂³×C₄	—	2	4	no	—
459	C₂³×C₄	—	2	4	no	—
460	C₂³×C₄	—	2	4	no	—
461	C₂³×C₄	—	4	2	no	—
462	C₂³×C₄	—	4	2	no	—
463	C₂³×C₄	D₄×C₁₀₁	1	4	yes	complemented
464	C₂³×C₄	C₂³×C₁₀₁	1	2	yes	—
465	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
466	C₂³×C₄	C₂³×C₁₀₁	1	2	yes	—
467	C₂³×C₄	C₂³×C₁₀₁	1	4	yes	—
468	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
469	#121	—	2	32	no	—
470	#120	—	2	64	no	—
471	C₂×C₄⋊C₄	—	2	4	no	—
472	C₂×C₄⋊C₄	—	2	2	no	—
473	C₂×C₂²⋊C₄	—	2	32	no	—
474	C₂×C₂²⋊C₄	—	2	4	no	—
475	C₂×C₂²⋊C₄	—	2	8	no	—
476	C₂×C₂²⋊C₄	—	2	4	no	—
477	C₂×C₂²⋊C₄	—	2	4	no	—
478	C₂×C₂²⋊C₄	—	2	4	no	—
479	C₂×C₂²⋊C₄	—	2	4	no	—
480	C₂×C₂²⋊C₄	—	2	4	no	—
481	C₂×C₂²⋊C₄	—	2	4	no	—
482	C₂×C₂²⋊C₄	—	2	4	no	—
483	C₂×C₂²⋊C₄	—	2	8	no	—
484	C₂×C₂²⋊C₄	—	2	8	no	—
485	C₂×C₂²⋊C₄	—	2	4	no	—
486	C₂×C₂²⋊C₄	—	2	4	no	—
487	C₂×C₂²⋊C₄	—	2	8	no	—
488	C₂×C₂²⋊C₄	—	2	8	no	—
489	C₂×C₂²⋊C₄	—	4	4	no	—
490	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	8	yes	complemented
491	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	8	yes	complemented
492	#95	—	2	8	no	—
493	#95	—	2	4	no	—
494	#95	—	4	2	no	—
495	C₂⁴	—	2	2	no	—
496	C₂⁴	—	2	2	no	—
497	C₂⁴	—	2	2	no	—
498	C₂⁴	—	2	2	no	—
499	C₂⁴	—	2	8	no	—
500	C₂⁴	—	2	8	no	—
501	C₂⁴	—	2	16	no	—
502	C₂⁴	—	2	8	no	—
503	C₂⁴	—	2	16	no	—
504	C₂⁴	—	2	2	no	—
505	C₂⁴	—	2	2	no	—
506	C₂⁴	—	2	4	no	—
507	C₂⁴	—	2	4	no	—
508	C₂⁴	—	2	2	no	—
509	C₂⁴	—	2	2	no	—
510	C₂⁴	—	2	4	no	—
511	C₂⁴	—	2	4	no	—
512	C₂⁴	—	2	16	no	—
513	C₂⁴	—	2	2	no	—
514	C₂⁴	—	2	2	no	—
515	C₂⁴	—	2	2	no	—
516	C₂⁴	—	2	4	no	—
517	C₂⁴	—	2	2	no	—
518	C₂⁴	—	2	2	no	—
519	C₂⁴	—	2	2	no	—
520	C₂⁴	—	2	4	no	—
521	C₂⁴	—	2	4	no	—
522	C₂⁴	—	2	4	no	—
523	C₂⁴	—	4	8	no	—
524	C₂⁴	—	4	16	no	—
525	C₂⁴	—	4	16	no	—
526	C₂⁴	—	4	16	no	—
527	C₂⁴	—	4	16	no	—
528	C₂⁴	—	4	4	no	—
529	C₂⁴	—	4	4	no	—
530	C₂⁴	—	4	8	no	—
531	C₂⁴	—	4	4	no	—
532	C₂⁴	—	4	8	no	—
533	C₂⁴	—	4	4	no	—
534	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
535	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
536	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
537	C₂⁴	C₂×D₄×C₁₀₁	1	2	yes	—
538	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
539	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
540	C₂⁴	C₂×D₄×C₁₀₁	1	2	yes	—
541	C₂⁴	#41×C₁₀₁	1	4	yes	—
542	C₂⁴	#41×C₁₀₁	1	2	yes	—
543	C₂⁴	C₂⁴×C₁₀₁	1	1	yes	characteristic
544	C₂×D₄	—	2	32	no	—
545	C₂×D₄	—	2	8	no	—
546	C₂×D₄	—	2	16	no	—
547	C₂×D₄	—	2	16	no	—
548	C₂×D₄	—	2	16	no	—
549	C₂×D₄	—	4	16	no	—
550	C₂×D₄	—	4	16	no	—
551	C₂×D₄	—	4	16	no	—
552	C₂×D₄	—	4	4	no	—
553	C₂×D₄	—	4	16	no	—
554	C₂×D₄	—	4	16	no	—
555	C₂×D₄	—	4	16	no	—
556	C₂×D₄	—	4	8	no	—
557	C₂×D₄	—	4	8	no	—
558	C₂×D₄	—	4	8	no	—
559	C₂×D₄	—	4	16	no	—
560	C₂×D₄	—	4	8	no	—
561	C₂×D₄	—	4	4	no	—
562	C₂²×C₄	—	2	2	no	—
563	C₂²×C₄	—	2	2	no	—
564	C₂²×C₄	—	2	8	no	—
565	C₂²×C₄	—	2	8	no	—
566	C₂²×C₄	—	2	2	no	—
567	C₂²×C₄	—	2	4	no	—
568	C₂²×C₄	—	2	4	no	—
569	C₂²×C₄	—	2	2	no	—
570	C₂²×C₄	—	2	2	no	—
571	C₂²×C₄	—	2	2	no	—
572	C₂²×C₄	—	2	2	no	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	4	no	—
576	C₂²×C₄	—	2	4	no	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	4	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	4	no	—
583	C₂²×C₄	—	2	4	no	—
584	C₂²×C₄	—	2	4	no	—
585	C₂²×C₄	—	2	8	no	—
586	C₂²×C₄	—	4	4	no	—
587	C₂²×C₄	—	4	16	no	—
588	C₂²×C₄	—	4	16	no	—
589	C₂²×C₄	—	4	4	no	—
590	C₂²×C₄	—	4	4	no	—
591	C₂²×C₄	C₂×D₄×C₁₀₁	1	8	yes	—
592	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
593	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
594	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
595	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
596	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
597	C₄⋊C₄	—	2	8	no	—
598	C₂²⋊C₄	—	2	16	no	—
599	C₂²⋊C₄	—	2	32	no	—
600	C₂²⋊C₄	—	2	16	no	—
601	C₂²⋊C₄	—	2	16	no	—
602	C₂²⋊C₄	—	2	16	no	—
603	C₂²⋊C₄	—	4	16	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	4	no	—
606	C₂³	—	2	2	no	—
607	C₂³	—	2	4	no	—
608	C₂³	—	2	2	no	—
609	C₂³	—	2	4	no	—
610	C₂³	—	2	2	no	—
611	C₂³	—	2	4	no	—
612	C₂³	—	2	8	no	—
613	C₂³	—	2	8	no	—
614	C₂³	—	2	8	no	—
615	C₂³	—	2	8	no	—
616	C₂³	—	2	32	no	—
617	C₂³	—	2	4	no	—
618	C₂³	—	2	8	no	—
619	C₂³	—	2	4	no	—
620	C₂³	—	2	4	no	—
621	C₂³	—	2	4	no	—
622	C₂³	—	2	4	no	—
623	C₂³	—	2	4	no	—
624	C₂³	—	2	8	no	—
625	C₂³	—	2	8	no	—
626	C₂³	—	2	8	no	—
627	C₂³	—	2	8	no	—
628	C₂³	—	2	8	no	—
629	C₂³	—	2	4	no	—
630	C₂³	—	2	4	no	—
631	C₂³	—	2	4	no	—
632	C₂³	—	2	8	no	—
633	C₂³	—	2	8	no	—
634	C₂³	—	4	64	no	—
635	C₂³	—	4	16	no	—
636	C₂³	—	4	16	no	—
637	C₂³	—	4	64	no	—
638	C₂³	—	4	16	no	—
639	C₂³	—	4	16	no	—
640	C₂³	—	4	16	no	—
641	C₂³	—	4	2	no	—
642	C₂³	—	4	4	no	—
643	C₂³	—	4	2	no	—
644	C₂³	—	4	2	no	—
645	C₂³	—	4	2	no	—
646	C₂³	—	4	4	no	—
647	C₂³	—	4	4	no	—
648	C₂³	—	4	4	no	—
649	C₂³	—	4	4	no	—
650	C₂³	—	4	4	no	—
651	C₂³	—	4	16	no	—
652	C₂³	—	4	2	no	—
653	C₂³	—	4	2	no	—
654	C₂³	—	4	4	no	—
655	C₂³	—	4	2	no	—
656	C₂³	—	4	2	no	—
657	C₂³	—	4	2	no	—
658	C₂³	—	4	4	no	—
659	C₂³	—	4	2	no	—
660	C₂³	—	4	2	no	—
661	C₂³	—	4	4	no	—
662	C₂³	—	4	2	no	—
663	C₂³	—	4	4	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	4	4	no	—
666	C₂³	—	4	4	no	—
667	C₂³	—	4	4	no	—
668	C₂³	—	4	4	no	—
669	C₂³	—	4	4	no	—
670	C₂³	#120×C₁₀₁	1	8	yes	—
671	C₂³	#120×C₁₀₁	1	4	yes	—
672	C₂³	#121×C₁₀₁	1	8	yes	—
673	C₂³	#121×C₁₀₁	1	4	yes	—
674	C₂³	#121×C₁₀₁	1	8	yes	complemented
675	C₂³	#127×C₁₀₁	1	4	yes	—
676	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
677	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
678	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
679	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
680	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
681	C₂³	C₂×#41×C₁₀₁	1	1	yes	characteristic
682	C₂³	C₂×#41×C₁₀₁	1	2	yes	—
683	C₂³	H(5,𝔽₂)×C₁₀₁	1	2	yes	—
684	C₂³	H(5,𝔽₂)×C₁₀₁	1	2	yes	—
685	D₄	—	4	16	no	—
686	D₄	—	4	64	no	—
687	D₄	—	4	32	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	8	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	4	no	—
694	C₂×C₄	—	2	8	no	—
695	C₂×C₄	—	2	4	no	—
696	C₂×C₄	—	2	4	no	—
697	C₂×C₄	—	2	4	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	8	no	—
700	C₂×C₄	—	2	8	no	—
701	C₂×C₄	—	2	8	no	—
702	C₂×C₄	—	4	16	no	—
703	C₂×C₄	—	4	16	no	—
704	C₂×C₄	—	4	2	no	—
705	C₂×C₄	—	4	4	no	—
706	C₂×C₄	—	4	2	no	—
707	C₂×C₄	—	4	2	no	—
708	C₂×C₄	—	4	2	no	—
709	C₂×C₄	—	4	2	no	—
710	C₂×C₄	—	4	4	no	—
711	C₂×C₄	—	4	2	no	—
712	C₂×C₄	—	4	4	no	—
713	C₂×C₄	—	4	4	no	—
714	C₂×C₄	—	4	4	no	—
715	C₂×C₄	—	4	4	no	—
716	C₂×C₄	#120×C₁₀₁	1	4	yes	complemented
717	C₂²	—	2	4	no	—
718	C₂²	—	2	4	no	—
719	C₂²	—	2	16	no	—
720	C₂²	—	2	16	no	—
721	C₂²	—	2	4	no	—
722	C₂²	—	2	4	no	—
723	C₂²	—	2	4	no	—
724	C₂²	—	2	4	no	—
725	C₂²	—	2	16	no	—
726	C₂²	—	2	8	no	—
727	C₂²	—	4	64	no	—
728	C₂²	—	4	4	no	—
729	C₂²	—	4	4	no	—
730	C₂²	—	4	8	no	—
731	C₂²	—	4	8	no	—
732	C₂²	—	4	8	no	—
733	C₂²	—	4	4	no	—
734	C₂²	—	4	4	no	—
735	C₂²	—	4	4	no	—
736	C₂²	—	4	4	no	—
737	C₂²	—	4	4	no	—
738	C₂²	—	4	4	no	—
739	C₂²	—	4	8	no	—
740	C₂²	—	4	8	no	—
741	C₂²	—	4	4	no	—
742	C₂²	—	8	4	no	—
743	C₂²	—	8	4	no	—
744	C₂²	—	8	2	no	—
745	C₂²	—	8	2	no	—
746	C₂²	—	8	2	no	—
747	C₂²	—	8	2	no	—
748	C₂²	#392×C₁₀₁	1	8	yes	complemented
749	C₂²	C₂×#120×C₁₀₁	1	1	yes	characteristic
750	C₂²	C₂×#120×C₁₀₁	1	1	yes	characteristic
751	C₂²	C₂×#120×C₁₀₁	1	2	yes	—
752	C₂²	C₂×#121×C₁₀₁	1	2	yes	—
753	C₂²	C₂×#121×C₁₀₁	1	2	yes	—
754	C₂²	C₂×#121×C₁₀₁	1	1	yes	characteristic
755	C₂²	#525×C₁₀₁	1	1	yes	characteristic
756	C₂²	#525×C₁₀₁	1	2	yes	—
757	C₂²	C₂×#127×C₁₀₁	1	1	yes	characteristic
758	C₂²	#534×C₁₀₁	1	1	yes	characteristic
759	C₂²	#534×C₁₀₁	1	2	yes	—
760	C₂²	#535×C₁₀₁	1	1	yes	characteristic
761	C₂²	#538×C₁₀₁	1	2	yes	—
762	C₂²	D₄²×C₁₀₁	1	4	yes	—
763	C₂²	D₄²×C₁₀₁	1	4	yes	—
764	C₂²	#546×C₁₀₁	1	4	yes	—
765	C₂²	#546×C₁₀₁	1	4	yes	—
766	C₄	—	2	4	no	—
767	C₄	—	4	2	no	—
768	C₄	—	4	8	no	—
769	C₄	—	4	4	no	—
770	C₄	—	4	4	no	—
771	C₂	—	2	8	no	—
772	C₂	—	4	8	no	—
773	C₂	—	8	4	no	—
774	C₂	C₂×#392×C₁₀₁	1	1	yes	characteristic
775	C₂	C₁₀₁×#2403	1	1	yes	characteristic
776	C₂	C₁₀₁×#2404	1	1	yes	characteristic
777	C₂	C₁₀₁×#2410	1	4	yes	—
778	C₂	C₁₀₁×#2424	1	4	yes	—
779	C₂	C₁₀₁×#2433	1	1	yes	characteristic
780	C₂	C₁₀₁×#2539	1	1	yes	characteristic
781	C₂	C₁₀₁×#2617	1	1	yes	characteristic
782	C₂	C₁₀₁×#2847	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₁₀₁	C₂⁴
commutator, Frattini, cosocle	C₂⁴	C₂⁴×C₁₀₁
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×#121×C₁₀₁	C₂	semidirect
2. C₂²×#120×C₁₀₁	C₂	semidirect
3. C₂³×C₂²⋊C₄×C₁₀₁	C₂	semidirect
4. C₂×#392×C₁₀₁	C₂	semidirect
5. C₂×#386×C₁₀₁	C₂	semidirect
6. C₁₀₁×#1439	C₂	semidirect
7. C₁₀₁×#1438	C₂	semidirect
8. C₁₀₁×C₂²⋊#95	C₂	semidirect
12. C₂³×D₄×C₁₀₁	C₂²	semidirect
20. C₂²×C₄⋊C₄×C₁₀₁	C₂²	semidirect
27. C₂²×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
28. C₂²×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
31. C₂×#95×C₁₀₁	C₂²	semidirect
32. C₂×#95×C₁₀₁	C₂²	semidirect
33. C₂×#95×C₁₀₁	C₂²	semidirect
42. C₂⁵×C₁₀₁	D₄	semidirect
63. C₂²×D₄×C₁₀₁	D₄	semidirect
71. C₂³×C₄×C₁₀₁	D₄	semidirect
98. C₂×C₂²⋊C₄×C₁₀₁	D₄	semidirect
99. C₂×C₂²⋊C₄×C₁₀₁	D₄	semidirect
282. C₂³×C₁₀₁	#121	semidirect
324. C₂×C₄×C₁₀₁	#120	semidirect
356. C₂²×C₁₀₁	#392	semidirect
379. #14716	C₁₀₁	direct (N × H)
392. C₂²×#121	C₂×C₁₀₁	semidirect
393. C₂²×#120	C₂×C₁₀₁	semidirect
394. C₂³×C₂²⋊C₄	C₂×C₁₀₁	semidirect
395. C₂×#392	C₂×C₁₀₁	semidirect
396. C₂×#386	C₂×C₁₀₁	semidirect
397. #1439	C₂×C₁₀₁	semidirect
398. #1438	C₂×C₁₀₁	semidirect
399. C₂²⋊#95	C₂×C₁₀₁	semidirect
400. C₁₀₁	#14716	direct (N × H)
404. C₂³×D₄	C₂²×C₁₀₁	semidirect
412. C₂²×C₄⋊C₄	C₂²×C₁₀₁	semidirect
419. C₂²×C₂²⋊C₄	C₂²×C₁₀₁	semidirect
420. C₂²×C₂²⋊C₄	C₂²×C₁₀₁	semidirect
423. C₂×#95	C₂²×C₁₀₁	semidirect
424. C₂×#95	C₂²×C₁₀₁	semidirect
425. C₂×#95	C₂²×C₁₀₁	semidirect
434. C₂⁵	D₄×C₁₀₁	semidirect
455. C₂²×D₄	D₄×C₁₀₁	semidirect
463. C₂³×C₄	D₄×C₁₀₁	semidirect
490. C₂×C₂²⋊C₄	D₄×C₁₀₁	semidirect
491. C₂×C₂²⋊C₄	D₄×C₁₀₁	semidirect
674. C₂³	#121×C₁₀₁	semidirect
716. C₂×C₄	#120×C₁₀₁	semidirect
748. C₂²	#392×C₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#121×C₁₀₁	2
C₂²×#120×C₁₀₁	2
C₂³×C₂²⋊C₄×C₁₀₁	2
C₂×#392×C₁₀₁	2
C₂×#386×C₁₀₁	2
C₁₀₁×#1439	2
C₁₀₁×#1438	2
C₁₀₁×C₂²⋊#95	2
#14716	101

Subgroups — C101×#14716 #38796867

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#14716 #38796867