Subgroups — C₁₀₁×#24260 #38806411

Order 25856.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₀₁×#3496	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×B(4,𝔽₂)×C₁₀₁	C₂	1	2	yes	maximal, complemented
3	C₁₀₁×#2847	C₂	1	2	yes	maximal, complemented
4	C₄×#120×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₀₁×#2044	C₂	1	2	yes	maximal, complemented
6	C₁₀₁×#2021	C₂	1	2	yes	maximal, complemented
7	C₁₀₁×#1964	C₂	1	2	yes	maximal, complemented
8	C₁₀₁×#1799	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₀₁×#1790	C₂	1	2	yes	maximal, complemented
10	C₂×H(5,𝔽₂)×C₁₀₁	C₂²	1	2	yes	—
11	C₂⁴×C₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
12	#547×C₁₀₁	—	2	2	no	—
13	#546×C₁₀₁	—	2	4	no	—
14	D₄²×C₁₀₁	—	2	2	no	—
15	#537×C₁₀₁	—	2	1	no	—
16	#534×C₁₀₁	—	2	1	no	—
17	#534×C₁₀₁	C₂²	1	2	yes	—
18	#532×C₁₀₁	—	2	1	no	—
19	C₂×#121×C₁₀₁	—	2	1	no	—
20	C₂×#121×C₁₀₁	—	2	2	no	—
21	C₂×#121×C₁₀₁	C₂²	1	2	yes	—
22	C₂×#120×C₁₀₁	C₂²	1	1	yes	characteristic
23	C₂×#120×C₁₀₁	C₂²	1	4	yes	complemented
24	C₂×C₄×D₄×C₁₀₁	—	2	1	no	—
25	C₂×C₄×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
26	B(4,𝔽₂)×C₁₀₁	—	2	8	no	—
27	C₂×#99×C₁₀₁	C₂²	1	2	yes	—
28	C₂×#99×C₁₀₁	C₂²	1	4	yes	complemented
29	C₂×#99×C₁₀₁	C₂²	1	4	yes	complemented
30	#386×C₁₀₁	—	2	1	no	—
31	#386×C₁₀₁	—	2	4	no	—
32	#386×C₁₀₁	C₂²	1	1	yes	characteristic
33	#386×C₁₀₁	C₂²	1	4	yes	complemented
34	#385×C₁₀₁	—	2	1	no	—
35	#385×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
36	#380×C₁₀₁	—	2	2	no	—
37	#380×C₁₀₁	C₂²	1	2	yes	complemented
38	#379×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
39	C₄×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
40	C₄×C₂²⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
41	#342×C₁₀₁	C₂²	1	2	yes	complemented
42	C₂⁵×C₁₀₁	C₂³	1	1	yes	characteristic
43	H(5,𝔽₂)×C₁₀₁	—	2	4	no	—
44	H(5,𝔽₂)×C₁₀₁	—	2	4	no	—
45	H(5,𝔽₂)×C₁₀₁	—	4	4	no	—
46	C₂×#41×C₁₀₁	—	2	2	no	—
47	C₂×#41×C₁₀₁	—	2	4	no	—
48	C₂²×D₄×C₁₀₁	—	2	1	no	—
49	C₂²×D₄×C₁₀₁	—	2	2	no	—
50	C₂²×D₄×C₁₀₁	—	2	4	no	—
51	C₂²×D₄×C₁₀₁	—	2	1	no	—
52	C₂²×D₄×C₁₀₁	—	2	4	no	—
53	C₂²×D₄×C₁₀₁	D₄	1	2	yes	complemented
54	C₂²×D₄×C₁₀₁	C₂³	1	4	yes	—
55	C₂²×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
56	C₂³×C₄×C₁₀₁	—	2	1	no	—
57	C₂³×C₄×C₁₀₁	—	2	2	no	—
58	C₂³×C₄×C₁₀₁	—	2	1	no	—
59	C₂³×C₄×C₁₀₁	—	2	2	no	—
60	C₂³×C₄×C₁₀₁	—	4	4	no	—
61	C₂³×C₄×C₁₀₁	D₄	1	1	yes	characteristic, complemented
62	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
63	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
64	C₄⋊Q₈×C₁₀₁	—	2	1	no	—
65	#127×C₁₀₁	—	2	1	no	—
66	#124×C₁₀₁	—	2	2	no	—
67	#123×C₁₀₁	—	2	4	no	—
68	#123×C₁₀₁	—	2	4	no	—
69	C₂²⋊Q₈×C₁₀₁	—	2	4	no	—
70	#121×C₁₀₁	—	2	2	no	—
71	#121×C₁₀₁	—	2	2	no	—
72	#121×C₁₀₁	—	2	4	no	—
73	#121×C₁₀₁	—	2	2	no	—
74	#121×C₁₀₁	—	2	2	no	—
75	#121×C₁₀₁	—	2	2	no	—
76	#121×C₁₀₁	—	2	2	no	—
77	#121×C₁₀₁	—	2	2	no	—
78	#121×C₁₀₁	—	2	2	no	—
79	#121×C₁₀₁	—	4	8	no	—
80	#120×C₁₀₁	—	2	4	no	—
81	#120×C₁₀₁	—	2	4	no	—
82	#120×C₁₀₁	—	2	2	no	—
83	#120×C₁₀₁	—	2	8	no	—
84	#120×C₁₀₁	—	4	4	no	—
85	#120×C₁₀₁	D₄	1	4	yes	complemented
86	C₄×D₄×C₁₀₁	—	2	2	no	—
87	C₄×D₄×C₁₀₁	—	2	2	no	—
88	C₄×D₄×C₁₀₁	—	2	2	no	—
89	C₄×D₄×C₁₀₁	—	2	2	no	—
90	C₄×D₄×C₁₀₁	—	4	4	no	—
91	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
92	C₂×C₄⋊C₄×C₁₀₁	—	2	1	no	—
93	C₂×C₄⋊C₄×C₁₀₁	—	2	2	no	—
94	C₂×C₄⋊C₄×C₁₀₁	D₄	1	1	yes	characteristic, complemented
95	C₂×C₄⋊C₄×C₁₀₁	D₄	1	2	yes	complemented
96	C₂×C₂²⋊C₄×C₁₀₁	—	2	2	no	—
97	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
98	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
99	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
100	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
101	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
102	C₂×C₂²⋊C₄×C₁₀₁	—	2	1	no	—
103	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	1	yes	characteristic, complemented
104	C₂×C₂²⋊C₄×C₁₀₁	D₄	1	4	yes	complemented
105	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	4	yes	—
106	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
107	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
108	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
109	C₂×C₄²×C₁₀₁	—	2	1	no	—
110	C₂×C₄²×C₁₀₁	D₄	1	1	yes	characteristic, complemented
111	#99×C₁₀₁	—	2	4	no	—
112	#99×C₁₀₁	—	2	8	no	—
113	#99×C₁₀₁	—	4	4	no	—
114	#95×C₁₀₁	—	2	1	no	—
115	#95×C₁₀₁	—	2	1	no	—
116	#95×C₁₀₁	—	2	1	no	—
117	#95×C₁₀₁	—	2	4	no	—
118	#95×C₁₀₁	—	2	2	no	—
119	C₂⁴×C₁₀₁	—	2	1	no	—
120	C₂⁴×C₁₀₁	—	2	2	no	—
121	C₂⁴×C₁₀₁	—	2	2	no	—
122	C₂⁴×C₁₀₁	—	2	1	no	—
123	C₂⁴×C₁₀₁	—	2	2	no	—
124	C₂⁴×C₁₀₁	—	4	2	no	—
125	C₂⁴×C₁₀₁	—	4	2	no	—
126	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
127	C₂⁴×C₁₀₁	C₂×D₄	1	1	yes	characteristic
128	C₂⁴×C₁₀₁	C₂×D₄	1	2	yes	complemented
129	C₂⁴×C₁₀₁	C₂⁴	1	1	yes	characteristic
130	#41×C₁₀₁	—	4	8	no	—
131	#41×C₁₀₁	—	4	8	no	—
132	#41×C₁₀₁	—	4	4	no	—
133	#41×C₁₀₁	—	4	4	no	—
134	C₂×Q₈×C₁₀₁	—	2	2	no	—
135	C₂×D₄×C₁₀₁	—	2	2	no	—
136	C₂×D₄×C₁₀₁	—	2	2	no	—
137	C₂×D₄×C₁₀₁	—	2	4	no	—
138	C₂×D₄×C₁₀₁	—	2	2	no	—
139	C₂×D₄×C₁₀₁	—	2	4	no	—
140	C₂×D₄×C₁₀₁	—	2	4	no	—
141	C₂×D₄×C₁₀₁	—	2	4	no	—
142	C₂×D₄×C₁₀₁	—	2	4	no	—
143	C₂×D₄×C₁₀₁	—	2	4	no	—
144	C₂×D₄×C₁₀₁	—	2	4	no	—
145	C₂×D₄×C₁₀₁	—	2	4	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	—	4	4	no	—
151	C₂×D₄×C₁₀₁	—	4	8	no	—
152	C₂×D₄×C₁₀₁	—	4	8	no	—
153	C₂×D₄×C₁₀₁	—	4	2	no	—
154	C₂×D₄×C₁₀₁	—	4	2	no	—
155	C₂×D₄×C₁₀₁	—	4	4	no	—
156	C₂×D₄×C₁₀₁	—	4	4	no	—
157	C₂×D₄×C₁₀₁	—	4	8	no	—
158	C₂×D₄×C₁₀₁	—	4	8	no	—
159	C₂×D₄×C₁₀₁	—	4	8	no	—
160	C₂×D₄×C₁₀₁	—	8	2	no	—
161	C₂×D₄×C₁₀₁	C₂×D₄	1	2	yes	—
162	C₂×D₄×C₁₀₁	#41	1	2	yes	—
163	C₂²×C₄×C₁₀₁	—	2	2	no	—
164	C₂²×C₄×C₁₀₁	—	2	4	no	—
165	C₂²×C₄×C₁₀₁	—	2	4	no	—
166	C₂²×C₄×C₁₀₁	—	2	8	no	—
167	C₂²×C₄×C₁₀₁	—	2	1	no	—
168	C₂²×C₄×C₁₀₁	—	2	2	no	—
169	C₂²×C₄×C₁₀₁	—	2	1	no	—
170	C₂²×C₄×C₁₀₁	—	2	1	no	—
171	C₂²×C₄×C₁₀₁	—	2	1	no	—
172	C₂²×C₄×C₁₀₁	—	2	1	no	—
173	C₂²×C₄×C₁₀₁	—	2	4	no	—
174	C₂²×C₄×C₁₀₁	—	4	2	no	—
175	C₂²×C₄×C₁₀₁	—	4	2	no	—
176	C₂²×C₄×C₁₀₁	—	4	2	no	—
177	C₂²×C₄×C₁₀₁	—	4	4	no	—
178	C₂²×C₄×C₁₀₁	—	4	4	no	—
179	C₂²×C₄×C₁₀₁	—	4	2	no	—
180	C₂²×C₄×C₁₀₁	—	4	2	no	—
181	C₂²×C₄×C₁₀₁	—	4	2	no	—
182	C₂²×C₄×C₁₀₁	—	4	4	no	—
183	C₂²×C₄×C₁₀₁	—	4	1	no	—
184	C₂²×C₄×C₁₀₁	—	4	2	no	—
185	C₂²×C₄×C₁₀₁	—	4	1	no	—
186	C₂²×C₄×C₁₀₁	C₂×D₄	1	4	yes	—
187	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
188	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
189	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
190	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
191	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
192	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
193	C₂²×C₄×C₁₀₁	C₂×D₄	1	1	yes	characteristic
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	—	2	2	no	—
199	C₄⋊C₄×C₁₀₁	—	4	2	no	—
200	C₄⋊C₄×C₁₀₁	—	4	4	no	—
201	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
202	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
203	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
204	C₂²⋊C₄×C₁₀₁	—	2	1	no	—
205	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
206	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
207	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
208	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
209	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
210	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
211	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
212	C₂²⋊C₄×C₁₀₁	—	4	8	no	—
213	C₂²⋊C₄×C₁₀₁	—	4	2	no	—
214	C₂²⋊C₄×C₁₀₁	—	4	8	no	—
215	C₂²⋊C₄×C₁₀₁	—	4	2	no	—
216	C₂²⋊C₄×C₁₀₁	—	4	2	no	—
217	C₂²⋊C₄×C₁₀₁	C₂×D₄	1	2	yes	complemented
218	C₄²×C₁₀₁	—	2	1	no	—
219	C₄²×C₁₀₁	—	2	1	no	—
220	C₄²×C₁₀₁	—	4	2	no	—
221	C₂³×C₁₀₁	—	2	2	no	—
222	C₂³×C₁₀₁	—	2	2	no	—
223	C₂³×C₁₀₁	—	2	4	no	—
224	C₂³×C₁₀₁	—	2	4	no	—
225	C₂³×C₁₀₁	—	2	1	no	—
226	C₂³×C₁₀₁	—	2	2	no	—
227	C₂³×C₁₀₁	—	2	4	no	—
228	C₂³×C₁₀₁	—	2	1	no	—
229	C₂³×C₁₀₁	—	2	4	no	—
230	C₂³×C₁₀₁	—	2	4	no	—
231	C₂³×C₁₀₁	—	2	4	no	—
232	C₂³×C₁₀₁	—	4	1	no	—
233	C₂³×C₁₀₁	—	4	4	no	—
234	C₂³×C₁₀₁	—	4	1	no	—
235	C₂³×C₁₀₁	—	4	1	no	—
236	C₂³×C₁₀₁	—	4	2	no	—
237	C₂³×C₁₀₁	—	4	1	no	—
238	C₂³×C₁₀₁	—	4	2	no	—
239	C₂³×C₁₀₁	—	4	4	no	—
240	C₂³×C₁₀₁	—	4	8	no	—
241	C₂³×C₁₀₁	—	4	1	no	—
242	C₂³×C₁₀₁	—	4	1	no	—
243	C₂³×C₁₀₁	—	4	4	no	—
244	C₂³×C₁₀₁	—	4	4	no	—
245	C₂³×C₁₀₁	—	4	4	no	—
246	C₂³×C₁₀₁	—	4	1	no	—
247	C₂³×C₁₀₁	—	4	1	no	—
248	C₂³×C₁₀₁	—	4	2	no	—
249	C₂³×C₁₀₁	—	8	2	no	—
250	C₂³×C₁₀₁	—	8	2	no	—
251	C₂³×C₁₀₁	#121	1	2	yes	complemented
252	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
253	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
254	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
255	C₂³×C₁₀₁	C₂×#41	1	1	yes	characteristic
256	C₂³×C₁₀₁	H(5,𝔽₂)	1	2	yes	—
257	Q₈×C₁₀₁	—	4	4	no	—
258	D₄×C₁₀₁	—	2	4	no	—
259	D₄×C₁₀₁	—	2	4	no	—
260	D₄×C₁₀₁	—	4	4	no	—
261	D₄×C₁₀₁	—	4	8	no	—
262	D₄×C₁₀₁	—	4	8	no	—
263	D₄×C₁₀₁	—	4	4	no	—
264	D₄×C₁₀₁	—	4	4	no	—
265	D₄×C₁₀₁	—	4	4	no	—
266	D₄×C₁₀₁	—	4	4	no	—
267	D₄×C₁₀₁	—	4	4	no	—
268	D₄×C₁₀₁	—	8	2	no	—
269	D₄×C₁₀₁	—	8	2	no	—
270	D₄×C₁₀₁	—	8	2	no	—
271	D₄×C₁₀₁	—	8	16	no	—
272	C₂×C₄×C₁₀₁	—	2	1	no	—
273	C₂×C₄×C₁₀₁	—	2	1	no	—
274	C₂×C₄×C₁₀₁	—	2	2	no	—
275	C₂×C₄×C₁₀₁	—	2	4	no	—
276	C₂×C₄×C₁₀₁	—	2	4	no	—
277	C₂×C₄×C₁₀₁	—	2	2	no	—
278	C₂×C₄×C₁₀₁	—	2	1	no	—
279	C₂×C₄×C₁₀₁	—	2	1	no	—
280	C₂×C₄×C₁₀₁	—	2	4	no	—
281	C₂×C₄×C₁₀₁	—	2	2	no	—
282	C₂×C₄×C₁₀₁	—	2	4	no	—
283	C₂×C₄×C₁₀₁	—	2	4	no	—
284	C₂×C₄×C₁₀₁	—	4	2	no	—
285	C₂×C₄×C₁₀₁	—	4	1	no	—
286	C₂×C₄×C₁₀₁	—	4	4	no	—
287	C₂×C₄×C₁₀₁	—	4	8	no	—
288	C₂×C₄×C₁₀₁	—	4	8	no	—
289	C₂×C₄×C₁₀₁	—	4	1	no	—
290	C₂×C₄×C₁₀₁	—	4	1	no	—
291	C₂×C₄×C₁₀₁	—	4	2	no	—
292	C₂×C₄×C₁₀₁	—	4	1	no	—
293	C₂×C₄×C₁₀₁	—	4	4	no	—
294	C₂×C₄×C₁₀₁	—	4	1	no	—
295	C₂×C₄×C₁₀₁	—	4	4	no	—
296	C₂×C₄×C₁₀₁	—	4	2	no	—
297	C₂×C₄×C₁₀₁	—	4	1	no	—
298	C₂×C₄×C₁₀₁	—	4	1	no	—
299	C₂×C₄×C₁₀₁	—	4	1	no	—
300	C₂×C₄×C₁₀₁	—	4	4	no	—
301	C₂×C₄×C₁₀₁	—	4	1	no	—
302	C₂×C₄×C₁₀₁	—	4	4	no	—
303	C₂×C₄×C₁₀₁	—	4	1	no	—
304	C₂×C₄×C₁₀₁	—	4	4	no	—
305	C₂×C₄×C₁₀₁	—	8	1	no	—
306	C₂×C₄×C₁₀₁	#120	1	1	yes	characteristic
307	C₂×C₄×C₁₀₁	#120	1	2	yes	—
308	C₂×C₄×C₁₀₁	#120	1	1	yes	characteristic
309	C₂×C₄×C₁₀₁	#121	1	2	yes	complemented
310	C₂²×C₁₀₁	—	2	1	no	—
311	C₂²×C₁₀₁	—	2	2	no	—
312	C₂²×C₁₀₁	—	2	1	no	—
313	C₂²×C₁₀₁	—	2	2	no	—
314	C₂²×C₁₀₁	—	2	4	no	—
315	C₂²×C₁₀₁	—	2	8	no	—
316	C₂²×C₁₀₁	—	2	2	no	—
317	C₂²×C₁₀₁	—	4	1	no	—
318	C₂²×C₁₀₁	—	4	1	no	—
319	C₂²×C₁₀₁	—	4	2	no	—
320	C₂²×C₁₀₁	—	4	2	no	—
321	C₂²×C₁₀₁	—	4	2	no	—
322	C₂²×C₁₀₁	—	4	4	no	—
323	C₂²×C₁₀₁	—	4	2	no	—
324	C₂²×C₁₀₁	—	4	2	no	—
325	C₂²×C₁₀₁	—	4	4	no	—
326	C₂²×C₁₀₁	—	4	4	no	—
327	C₂²×C₁₀₁	—	4	2	no	—
328	C₂²×C₁₀₁	—	4	2	no	—
329	C₂²×C₁₀₁	—	4	1	no	—
330	C₂²×C₁₀₁	—	4	2	no	—
331	C₂²×C₁₀₁	—	4	1	no	—
332	C₂²×C₁₀₁	—	4	4	no	—
333	C₂²×C₁₀₁	—	4	4	no	—
334	C₂²×C₁₀₁	—	4	4	no	—
335	C₂²×C₁₀₁	—	8	1	no	—
336	C₂²×C₁₀₁	—	8	4	no	—
337	C₂²×C₁₀₁	—	8	4	no	—
338	C₂²×C₁₀₁	—	16	4	no	—
339	C₂²×C₁₀₁	C₂×#120	1	1	yes	characteristic
340	C₂²×C₁₀₁	C₂×#121	1	1	yes	characteristic
341	C₂²×C₁₀₁	#535	1	1	yes	characteristic
342	C₂²×C₁₀₁	D₄²	1	2	yes	—
343	C₂²×C₁₀₁	#546	1	2	yes	—
344	C₄×C₁₀₁	—	2	2	no	—
345	C₄×C₁₀₁	—	2	1	no	—
346	C₄×C₁₀₁	—	2	2	no	—
347	C₄×C₁₀₁	—	4	2	no	—
348	C₄×C₁₀₁	—	4	4	no	—
349	C₄×C₁₀₁	—	4	2	no	—
350	C₄×C₁₀₁	—	4	1	no	—
351	C₄×C₁₀₁	—	4	1	no	—
352	C₄×C₁₀₁	—	8	1	no	—
353	C₄×C₁₀₁	—	8	4	no	—
354	C₄×C₁₀₁	B(4,𝔽₂)	1	2	yes	complemented
355	#24260	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
356	C₂×C₁₀₁	—	2	1	no	—
357	C₂×C₁₀₁	—	2	2	no	—
358	C₂×C₁₀₁	—	2	1	no	—
359	C₂×C₁₀₁	—	2	2	no	—
360	C₂×C₁₀₁	—	4	4	no	—
361	C₂×C₁₀₁	—	4	2	no	—
362	C₂×C₁₀₁	—	8	4	no	—
363	C₂×C₁₀₁	#2408	1	1	yes	characteristic
364	C₂×C₁₀₁	C₂×B(4,𝔽₂)	1	1	yes	characteristic
365	C₂×C₁₀₁	#3025	1	1	yes	characteristic
366	#3496	C₂×C₁₀₁	1	1	yes	characteristic, complemented
367	C₂×B(4,𝔽₂)	C₂×C₁₀₁	1	2	yes	complemented
368	#2847	C₂×C₁₀₁	1	2	yes	complemented
369	C₄×#120	C₂×C₁₀₁	1	1	yes	characteristic, complemented
370	#2044	C₂×C₁₀₁	1	2	yes	complemented
371	#2021	C₂×C₁₀₁	1	2	yes	complemented
372	#1964	C₂×C₁₀₁	1	2	yes	complemented
373	#1799	C₂×C₁₀₁	1	1	yes	characteristic, complemented
374	#1790	C₂×C₁₀₁	1	2	yes	complemented
375	C₁₀₁	#24260	1	1	yes	characteristic, direct product factor, Sylow
376	C₂×H(5,𝔽₂)	C₂²×C₁₀₁	1	2	yes	—
377	C₂⁴×C₄	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
378	#547	—	2	2	no	—
379	#546	—	2	4	no	—
380	D₄²	—	2	2	no	—
381	#537	—	2	1	no	—
382	#534	—	2	1	no	—
383	#534	C₂²×C₁₀₁	1	2	yes	—
384	#532	—	2	1	no	—
385	C₂×#121	—	2	1	no	—
386	C₂×#121	—	2	2	no	—
387	C₂×#121	C₂²×C₁₀₁	1	2	yes	—
388	C₂×#120	C₂²×C₁₀₁	1	1	yes	characteristic
389	C₂×#120	C₂²×C₁₀₁	1	4	yes	complemented
390	C₂×C₄×D₄	—	2	1	no	—
391	C₂×C₄×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
392	B(4,𝔽₂)	—	2	8	no	—
393	C₂×#99	C₂²×C₁₀₁	1	2	yes	—
394	C₂×#99	C₂²×C₁₀₁	1	4	yes	complemented
395	C₂×#99	C₂²×C₁₀₁	1	4	yes	complemented
396	#386	—	2	4	no	—
397	#386	—	2	1	no	—
398	#386	C₂²×C₁₀₁	1	1	yes	characteristic
399	#386	C₂²×C₁₀₁	1	4	yes	complemented
400	#385	—	2	1	no	—
401	#385	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
402	#380	—	2	2	no	—
403	#380	C₂²×C₁₀₁	1	2	yes	complemented
404	#379	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
405	C₄×C₂²⋊C₄	—	2	1	no	—
406	C₄×C₂²⋊C₄	C₂²×C₁₀₁	1	1	yes	characteristic, complemented
407	#342	C₂²×C₁₀₁	1	2	yes	complemented
408	C₂⁵	C₂³×C₁₀₁	1	1	yes	characteristic
409	H(5,𝔽₂)	—	2	4	no	—
410	H(5,𝔽₂)	—	2	4	no	—
411	H(5,𝔽₂)	—	4	4	no	—
412	C₂×#41	—	2	2	no	—
413	C₂×#41	—	2	4	no	—
414	C₂²×D₄	—	2	1	no	—
415	C₂²×D₄	—	2	2	no	—
416	C₂²×D₄	—	2	4	no	—
417	C₂²×D₄	—	2	1	no	—
418	C₂²×D₄	—	2	4	no	—
419	C₂²×D₄	D₄×C₁₀₁	1	2	yes	complemented
420	C₂²×D₄	C₂³×C₁₀₁	1	4	yes	—
421	C₂²×D₄	C₂³×C₁₀₁	1	1	yes	characteristic
422	C₂³×C₄	—	2	1	no	—
423	C₂³×C₄	—	2	2	no	—
424	C₂³×C₄	—	2	1	no	—
425	C₂³×C₄	—	2	2	no	—
426	C₂³×C₄	—	4	4	no	—
427	C₂³×C₄	D₄×C₁₀₁	1	1	yes	characteristic, complemented
428	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
429	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
430	C₄⋊Q₈	—	2	1	no	—
431	#127	—	2	1	no	—
432	#124	—	2	2	no	—
433	#123	—	2	4	no	—
434	#123	—	2	4	no	—
435	C₂²⋊Q₈	—	2	4	no	—
436	#121	—	2	2	no	—
437	#121	—	2	2	no	—
438	#121	—	2	4	no	—
439	#121	—	2	2	no	—
440	#121	—	2	2	no	—
441	#121	—	2	2	no	—
442	#121	—	2	2	no	—
443	#121	—	2	2	no	—
444	#121	—	2	2	no	—
445	#121	—	4	8	no	—
446	#120	—	2	4	no	—
447	#120	—	2	4	no	—
448	#120	—	2	2	no	—
449	#120	—	2	8	no	—
450	#120	—	4	4	no	—
451	#120	D₄×C₁₀₁	1	4	yes	complemented
452	C₄×D₄	—	2	2	no	—
453	C₄×D₄	—	2	2	no	—
454	C₄×D₄	—	2	2	no	—
455	C₄×D₄	—	2	2	no	—
456	C₄×D₄	—	4	4	no	—
457	C₂×C₄⋊C₄	—	2	1	no	—
458	C₂×C₄⋊C₄	—	2	1	no	—
459	C₂×C₄⋊C₄	—	2	2	no	—
460	C₂×C₄⋊C₄	D₄×C₁₀₁	1	1	yes	characteristic, complemented
461	C₂×C₄⋊C₄	D₄×C₁₀₁	1	2	yes	complemented
462	C₂×C₂²⋊C₄	—	2	2	no	—
463	C₂×C₂²⋊C₄	—	2	1	no	—
464	C₂×C₂²⋊C₄	—	2	1	no	—
465	C₂×C₂²⋊C₄	—	2	4	no	—
466	C₂×C₂²⋊C₄	—	2	1	no	—
467	C₂×C₂²⋊C₄	—	2	4	no	—
468	C₂×C₂²⋊C₄	—	2	1	no	—
469	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	1	yes	characteristic, complemented
470	C₂×C₂²⋊C₄	D₄×C₁₀₁	1	4	yes	complemented
471	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	4	yes	—
472	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	1	yes	characteristic
473	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	1	yes	characteristic
474	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	1	yes	characteristic
475	C₂×C₄²	—	2	1	no	—
476	C₂×C₄²	D₄×C₁₀₁	1	1	yes	characteristic, complemented
477	#99	—	2	4	no	—
478	#99	—	2	8	no	—
479	#99	—	4	4	no	—
480	#95	—	2	1	no	—
481	#95	—	2	1	no	—
482	#95	—	2	1	no	—
483	#95	—	2	4	no	—
484	#95	—	2	2	no	—
485	C₂⁴	—	2	1	no	—
486	C₂⁴	—	2	2	no	—
487	C₂⁴	—	2	2	no	—
488	C₂⁴	—	2	1	no	—
489	C₂⁴	—	2	2	no	—
490	C₂⁴	—	4	2	no	—
491	C₂⁴	—	4	2	no	—
492	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
493	C₂⁴	C₂×D₄×C₁₀₁	1	1	yes	characteristic
494	C₂⁴	C₂×D₄×C₁₀₁	1	2	yes	complemented
495	C₂⁴	C₂⁴×C₁₀₁	1	1	yes	characteristic
496	#41	—	4	8	no	—
497	#41	—	4	8	no	—
498	#41	—	4	4	no	—
499	#41	—	4	4	no	—
500	C₂×Q₈	—	2	2	no	—
501	C₂×D₄	—	2	2	no	—
502	C₂×D₄	—	2	2	no	—
503	C₂×D₄	—	2	4	no	—
504	C₂×D₄	—	2	2	no	—
505	C₂×D₄	—	2	4	no	—
506	C₂×D₄	—	2	4	no	—
507	C₂×D₄	—	2	4	no	—
508	C₂×D₄	—	2	4	no	—
509	C₂×D₄	—	2	4	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	2	no	—
513	C₂×D₄	—	2	2	no	—
514	C₂×D₄	—	2	2	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	—	4	4	no	—
517	C₂×D₄	—	4	8	no	—
518	C₂×D₄	—	4	8	no	—
519	C₂×D₄	—	4	2	no	—
520	C₂×D₄	—	4	2	no	—
521	C₂×D₄	—	4	4	no	—
522	C₂×D₄	—	4	4	no	—
523	C₂×D₄	—	4	8	no	—
524	C₂×D₄	—	4	8	no	—
525	C₂×D₄	—	4	8	no	—
526	C₂×D₄	—	8	2	no	—
527	C₂×D₄	C₂×D₄×C₁₀₁	1	2	yes	—
528	C₂×D₄	#41×C₁₀₁	1	2	yes	—
529	C₂²×C₄	—	2	2	no	—
530	C₂²×C₄	—	2	4	no	—
531	C₂²×C₄	—	2	4	no	—
532	C₂²×C₄	—	2	8	no	—
533	C₂²×C₄	—	2	1	no	—
534	C₂²×C₄	—	2	2	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	1	no	—
538	C₂²×C₄	—	2	1	no	—
539	C₂²×C₄	—	2	4	no	—
540	C₂²×C₄	—	4	2	no	—
541	C₂²×C₄	—	4	2	no	—
542	C₂²×C₄	—	4	2	no	—
543	C₂²×C₄	—	4	4	no	—
544	C₂²×C₄	—	4	4	no	—
545	C₂²×C₄	—	4	2	no	—
546	C₂²×C₄	—	4	2	no	—
547	C₂²×C₄	—	4	2	no	—
548	C₂²×C₄	—	4	4	no	—
549	C₂²×C₄	—	4	1	no	—
550	C₂²×C₄	—	4	2	no	—
551	C₂²×C₄	—	4	1	no	—
552	C₂²×C₄	C₂×D₄×C₁₀₁	1	4	yes	—
553	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
554	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
555	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
556	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
557	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
558	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
559	C₂²×C₄	C₂×D₄×C₁₀₁	1	1	yes	characteristic
560	C₄⋊C₄	—	2	2	no	—
561	C₄⋊C₄	—	2	2	no	—
562	C₄⋊C₄	—	2	2	no	—
563	C₄⋊C₄	—	2	2	no	—
564	C₄⋊C₄	—	2	2	no	—
565	C₄⋊C₄	—	4	2	no	—
566	C₄⋊C₄	—	4	4	no	—
567	C₂²⋊C₄	—	2	4	no	—
568	C₂²⋊C₄	—	2	4	no	—
569	C₂²⋊C₄	—	2	2	no	—
570	C₂²⋊C₄	—	2	1	no	—
571	C₂²⋊C₄	—	2	4	no	—
572	C₂²⋊C₄	—	2	2	no	—
573	C₂²⋊C₄	—	2	4	no	—
574	C₂²⋊C₄	—	2	4	no	—
575	C₂²⋊C₄	—	2	4	no	—
576	C₂²⋊C₄	—	2	2	no	—
577	C₂²⋊C₄	—	2	4	no	—
578	C₂²⋊C₄	—	4	8	no	—
579	C₂²⋊C₄	—	4	2	no	—
580	C₂²⋊C₄	—	4	8	no	—
581	C₂²⋊C₄	—	4	2	no	—
582	C₂²⋊C₄	—	4	2	no	—
583	C₂²⋊C₄	C₂×D₄×C₁₀₁	1	2	yes	complemented
584	C₄²	—	2	1	no	—
585	C₄²	—	2	1	no	—
586	C₄²	—	4	2	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	4	no	—
590	C₂³	—	2	4	no	—
591	C₂³	—	2	1	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	4	no	—
594	C₂³	—	2	1	no	—
595	C₂³	—	2	4	no	—
596	C₂³	—	2	4	no	—
597	C₂³	—	2	4	no	—
598	C₂³	—	4	1	no	—
599	C₂³	—	4	4	no	—
600	C₂³	—	4	1	no	—
601	C₂³	—	4	1	no	—
602	C₂³	—	4	2	no	—
603	C₂³	—	4	1	no	—
604	C₂³	—	4	2	no	—
605	C₂³	—	4	4	no	—
606	C₂³	—	4	8	no	—
607	C₂³	—	4	1	no	—
608	C₂³	—	4	1	no	—
609	C₂³	—	4	4	no	—
610	C₂³	—	4	4	no	—
611	C₂³	—	4	4	no	—
612	C₂³	—	4	1	no	—
613	C₂³	—	4	1	no	—
614	C₂³	—	4	2	no	—
615	C₂³	—	8	2	no	—
616	C₂³	—	8	2	no	—
617	C₂³	#121×C₁₀₁	1	2	yes	complemented
618	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
619	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
620	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
621	C₂³	C₂×#41×C₁₀₁	1	1	yes	characteristic
622	C₂³	H(5,𝔽₂)×C₁₀₁	1	2	yes	—
623	Q₈	—	4	4	no	—
624	D₄	—	2	4	no	—
625	D₄	—	2	4	no	—
626	D₄	—	4	4	no	—
627	D₄	—	4	8	no	—
628	D₄	—	4	8	no	—
629	D₄	—	4	4	no	—
630	D₄	—	4	4	no	—
631	D₄	—	4	4	no	—
632	D₄	—	4	4	no	—
633	D₄	—	4	4	no	—
634	D₄	—	8	2	no	—
635	D₄	—	8	2	no	—
636	D₄	—	8	2	no	—
637	D₄	—	8	16	no	—
638	C₂×C₄	—	2	1	no	—
639	C₂×C₄	—	2	1	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	4	no	—
649	C₂×C₄	—	2	4	no	—
650	C₂×C₄	—	4	2	no	—
651	C₂×C₄	—	4	1	no	—
652	C₂×C₄	—	4	4	no	—
653	C₂×C₄	—	4	8	no	—
654	C₂×C₄	—	4	8	no	—
655	C₂×C₄	—	4	1	no	—
656	C₂×C₄	—	4	1	no	—
657	C₂×C₄	—	4	2	no	—
658	C₂×C₄	—	4	4	no	—
659	C₂×C₄	—	4	1	no	—
660	C₂×C₄	—	4	1	no	—
661	C₂×C₄	—	4	4	no	—
662	C₂×C₄	—	4	2	no	—
663	C₂×C₄	—	4	1	no	—
664	C₂×C₄	—	4	1	no	—
665	C₂×C₄	—	4	1	no	—
666	C₂×C₄	—	4	4	no	—
667	C₂×C₄	—	4	1	no	—
668	C₂×C₄	—	4	4	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	4	no	—
671	C₂×C₄	—	8	1	no	—
672	C₂×C₄	#120×C₁₀₁	1	1	yes	characteristic
673	C₂×C₄	#120×C₁₀₁	1	2	yes	—
674	C₂×C₄	#120×C₁₀₁	1	1	yes	characteristic
675	C₂×C₄	#121×C₁₀₁	1	2	yes	complemented
676	C₂²	—	2	1	no	—
677	C₂²	—	2	2	no	—
678	C₂²	—	2	1	no	—
679	C₂²	—	2	2	no	—
680	C₂²	—	2	4	no	—
681	C₂²	—	2	8	no	—
682	C₂²	—	2	2	no	—
683	C₂²	—	4	1	no	—
684	C₂²	—	4	1	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	2	no	—
687	C₂²	—	4	2	no	—
688	C₂²	—	4	4	no	—
689	C₂²	—	4	2	no	—
690	C₂²	—	4	2	no	—
691	C₂²	—	4	4	no	—
692	C₂²	—	4	4	no	—
693	C₂²	—	4	2	no	—
694	C₂²	—	4	2	no	—
695	C₂²	—	4	1	no	—
696	C₂²	—	4	2	no	—
697	C₂²	—	4	1	no	—
698	C₂²	—	4	4	no	—
699	C₂²	—	4	4	no	—
700	C₂²	—	4	4	no	—
701	C₂²	—	8	1	no	—
702	C₂²	—	8	4	no	—
703	C₂²	—	8	4	no	—
704	C₂²	—	16	4	no	—
705	C₂²	C₂×#120×C₁₀₁	1	1	yes	characteristic
706	C₂²	C₂×#121×C₁₀₁	1	1	yes	characteristic
707	C₂²	#535×C₁₀₁	1	1	yes	characteristic
708	C₂²	D₄²×C₁₀₁	1	2	yes	—
709	C₂²	#546×C₁₀₁	1	2	yes	—
710	C₄	—	2	2	no	—
711	C₄	—	2	1	no	—
712	C₄	—	2	2	no	—
713	C₄	—	4	2	no	—
714	C₄	—	4	4	no	—
715	C₄	—	4	2	no	—
716	C₄	—	4	1	no	—
717	C₄	—	4	1	no	—
718	C₄	—	8	4	no	—
719	C₄	—	8	1	no	—
720	C₄	B(4,𝔽₂)×C₁₀₁	1	2	yes	complemented
721	C₂	—	2	1	no	—
722	C₂	—	2	2	no	—
723	C₂	—	2	1	no	—
724	C₂	—	2	2	no	—
725	C₂	—	4	4	no	—
726	C₂	—	4	2	no	—
727	C₂	—	8	4	no	—
728	C₂	C₁₀₁×#2408	1	1	yes	characteristic
729	C₂	C₂×B(4,𝔽₂)×C₁₀₁	1	1	yes	characteristic
730	C₂	C₁₀₁×#3025	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₀₁	C₂×#120
commutator, Frattini, cosocle	C₂⁴	C₂⁴×C₁₀₁
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
1. C₁₀₁×#3496	C₂	semidirect
2. C₂×B(4,𝔽₂)×C₁₀₁	C₂	semidirect
3. C₁₀₁×#2847	C₂	semidirect
4. C₄×#120×C₁₀₁	C₂	semidirect
5. C₁₀₁×#2044	C₂	semidirect
6. C₁₀₁×#2021	C₂	semidirect
7. C₁₀₁×#1964	C₂	semidirect
8. C₁₀₁×#1799	C₂	semidirect
9. C₁₀₁×#1790	C₂	semidirect
11. C₂⁴×C₄×C₁₀₁	C₂²	semidirect
23. C₂×#120×C₁₀₁	C₂²	semidirect
28. C₂×#99×C₁₀₁	C₂²	semidirect
29. C₂×#99×C₁₀₁	C₂²	semidirect
33. #386×C₁₀₁	C₂²	semidirect
35. #385×C₁₀₁	C₂²	semidirect
37. #380×C₁₀₁	C₂²	semidirect
38. #379×C₁₀₁	C₂²	semidirect
40. C₄×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
41. #342×C₁₀₁	C₂²	semidirect
53. C₂²×D₄×C₁₀₁	D₄	semidirect
61. C₂³×C₄×C₁₀₁	D₄	semidirect
85. #120×C₁₀₁	D₄	semidirect
94. C₂×C₄⋊C₄×C₁₀₁	D₄	semidirect
95. C₂×C₄⋊C₄×C₁₀₁	D₄	semidirect
103. C₂×C₂²⋊C₄×C₁₀₁	D₄	semidirect
104. C₂×C₂²⋊C₄×C₁₀₁	D₄	semidirect
110. C₂×C₄²×C₁₀₁	D₄	semidirect
128. C₂⁴×C₁₀₁	C₂×D₄	semidirect
217. C₂²⋊C₄×C₁₀₁	C₂×D₄	semidirect
251. C₂³×C₁₀₁	#121	semidirect
309. C₂×C₄×C₁₀₁	#121	semidirect
354. C₄×C₁₀₁	B(4,𝔽₂)	semidirect
355. #24260	C₁₀₁	direct (N × H)
366. #3496	C₂×C₁₀₁	semidirect
367. C₂×B(4,𝔽₂)	C₂×C₁₀₁	semidirect
368. #2847	C₂×C₁₀₁	semidirect
369. C₄×#120	C₂×C₁₀₁	semidirect
370. #2044	C₂×C₁₀₁	semidirect
371. #2021	C₂×C₁₀₁	semidirect
372. #1964	C₂×C₁₀₁	semidirect
373. #1799	C₂×C₁₀₁	semidirect
374. #1790	C₂×C₁₀₁	semidirect
375. C₁₀₁	#24260	direct (N × H)
377. C₂⁴×C₄	C₂²×C₁₀₁	semidirect
389. C₂×#120	C₂²×C₁₀₁	semidirect
394. C₂×#99	C₂²×C₁₀₁	semidirect
395. C₂×#99	C₂²×C₁₀₁	semidirect
399. #386	C₂²×C₁₀₁	semidirect
401. #385	C₂²×C₁₀₁	semidirect
403. #380	C₂²×C₁₀₁	semidirect
404. #379	C₂²×C₁₀₁	semidirect
406. C₄×C₂²⋊C₄	C₂²×C₁₀₁	semidirect
407. #342	C₂²×C₁₀₁	semidirect
419. C₂²×D₄	D₄×C₁₀₁	semidirect
427. C₂³×C₄	D₄×C₁₀₁	semidirect
451. #120	D₄×C₁₀₁	semidirect
460. C₂×C₄⋊C₄	D₄×C₁₀₁	semidirect
461. C₂×C₄⋊C₄	D₄×C₁₀₁	semidirect
469. C₂×C₂²⋊C₄	D₄×C₁₀₁	semidirect
470. C₂×C₂²⋊C₄	D₄×C₁₀₁	semidirect
476. C₂×C₄²	D₄×C₁₀₁	semidirect
494. C₂⁴	C₂×D₄×C₁₀₁	semidirect
583. C₂²⋊C₄	C₂×D₄×C₁₀₁	semidirect
617. C₂³	#121×C₁₀₁	semidirect
675. C₂×C₄	#121×C₁₀₁	semidirect
720. C₄	B(4,𝔽₂)×C₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
C₁₀₁×#3496	2
C₂×B(4,𝔽₂)×C₁₀₁	2
C₁₀₁×#2847	2
C₄×#120×C₁₀₁	2
C₁₀₁×#2044	2
C₁₀₁×#2021	2
C₁₀₁×#1964	2
C₁₀₁×#1799	2
C₁₀₁×#1790	2
#24260	101

Subgroups — C101×#24260 #38806411

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₁×#24260 #38806411