Subgroups — D₄×#99×C₁₀₁ #38804555

Order 25856.

2102 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₄²×C₁₀₁	C₂	1	1	yes	maximal, characteristic
2	C₂²×#99×C₁₀₁	C₂	1	2	yes	maximal, complemented
3	D₄×C₂²⋊C₄×C₁₀₁	C₂	1	2	yes	maximal, complemented
4	C₁₀₁×#1964	C₂	1	2	yes	maximal, complemented
5	C₁₀₁×#1898	C₂	1	4	yes	maximal, complemented
6	C₁₀₁×#1799	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₀₁×#1781	C₂	1	2	yes	maximal, complemented
8	C₄×#99×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×D₄×C₁₀₁	C₄	1	1	yes	characteristic, complemented
10	C₂³×D₄×C₁₀₁	C₂²	1	2	yes	—
11	C₂³×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
12	D₄²×C₁₀₁	—	2	2	no	—
13	D₄²×C₁₀₁	—	2	4	no	—
14	D₄²×C₁₀₁	—	2	2	no	—
15	C₂×#127×C₁₀₁	C₄	1	1	yes	characteristic, complemented
16	C₂×#121×C₁₀₁	C₄	1	2	yes	complemented
17	C₂×#121×C₁₀₁	C₄	1	1	yes	characteristic, complemented
18	C₂×#121×C₁₀₁	C₂²	1	1	yes	characteristic
19	C₂×#120×C₁₀₁	C₄	1	2	yes	complemented
20	C₂×#120×C₁₀₁	C₂²	1	2	yes	—
21	C₂×C₄×D₄×C₁₀₁	—	2	2	no	—
22	C₂×C₄×D₄×C₁₀₁	C₄	1	1	yes	characteristic, complemented
23	C₂×C₄×D₄×C₁₀₁	C₂²	1	1	yes	characteristic
24	C₂²×C₂²⋊C₄×C₁₀₁	C₂²	1	4	yes	complemented
25	C₂×#99×C₁₀₁	—	2	8	no	—
26	C₂×#99×C₁₀₁	C₂²	1	1	yes	characteristic
27	C₂×#99×C₁₀₁	C₂²	1	2	yes	—
28	C₂×#99×C₁₀₁	C₂²	1	1	yes	characteristic
29	C₂×#99×C₁₀₁	C₂²	1	4	yes	complemented
30	C₂×#99×C₁₀₁	C₂²	1	4	yes	complemented
31	#390×C₁₀₁	—	2	2	no	—
32	#386×C₁₀₁	—	2	4	no	—
33	#380×C₁₀₁	C₂²	1	2	yes	complemented
34	#379×C₁₀₁	C₂²	1	4	yes	complemented
35	C₄×C₂²⋊C₄×C₁₀₁	C₂²	1	2	yes	complemented
36	#342×C₁₀₁	C₂²	1	2	yes	complemented
37	#342×C₁₀₁	C₂²	1	2	yes	complemented
38	C₂⁵×C₁₀₁	C₂×C₄	1	2	yes	complemented
39	C₂⁵×C₁₀₁	C₂³	1	2	yes	—
40	C₂²×D₄×C₁₀₁	—	2	4	no	—
41	C₂²×D₄×C₁₀₁	—	2	4	no	—
42	C₂²×D₄×C₁₀₁	—	2	2	no	—
43	C₂²×D₄×C₁₀₁	—	2	1	no	—
44	C₂²×D₄×C₁₀₁	—	2	1	no	—
45	C₂²×D₄×C₁₀₁	—	2	4	no	—
46	C₂²×D₄×C₁₀₁	—	2	4	no	—
47	C₂²×D₄×C₁₀₁	—	4	4	no	—
48	C₂²×D₄×C₁₀₁	—	4	4	no	—
49	C₂²×D₄×C₁₀₁	—	4	4	no	—
50	C₂²×D₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
51	C₂²×D₄×C₁₀₁	C₂×C₄	1	2	yes	—
52	C₂²×D₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
53	C₂²×D₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
54	C₂²×D₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
55	C₂²×D₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
56	C₂²×D₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
57	C₂²×D₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
58	C₂²×D₄×C₁₀₁	D₄	1	2	yes	—
59	C₂²×D₄×C₁₀₁	D₄	1	4	yes	—
60	C₂²×D₄×C₁₀₁	D₄	1	2	yes	—
61	C₂²×D₄×C₁₀₁	C₂³	1	2	yes	—
62	C₂²×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
63	C₂³×C₄×C₁₀₁	—	2	4	no	—
64	C₂³×C₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
65	C₂³×C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
66	C₂³×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
67	#127×C₁₀₁	—	2	2	no	—
68	#127×C₁₀₁	—	2	2	no	—
69	#121×C₁₀₁	—	2	2	no	—
70	#121×C₁₀₁	—	2	2	no	—
71	#121×C₁₀₁	—	2	4	no	—
72	#121×C₁₀₁	—	2	4	no	—
73	#121×C₁₀₁	—	2	2	no	—
74	#121×C₁₀₁	—	2	2	no	—
75	#120×C₁₀₁	—	2	4	no	—
76	#120×C₁₀₁	—	2	4	no	—
77	#120×C₁₀₁	—	2	4	no	—
78	#120×C₁₀₁	—	2	4	no	—
79	C₄×D₄×C₁₀₁	—	2	2	no	—
80	C₄×D₄×C₁₀₁	—	2	1	no	—
81	C₄×D₄×C₁₀₁	—	2	1	no	—
82	C₄×D₄×C₁₀₁	—	2	2	no	—
83	C₄×D₄×C₁₀₁	—	2	2	no	—
84	C₄×D₄×C₁₀₁	—	4	8	no	—
85	C₂×C₄⋊C₄×C₁₀₁	—	2	2	no	—
86	C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
87	C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
88	C₂×C₂²⋊C₄×C₁₀₁	—	2	8	no	—
89	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
90	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
91	C₂×C₂²⋊C₄×C₁₀₁	—	2	4	no	—
92	C₂×C₂²⋊C₄×C₁₀₁	—	4	4	no	—
93	C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
94	C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
96	C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	1	2	yes	complemented
97	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	4	yes	—
98	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	2	yes	—
99	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
100	C₂×C₂²⋊C₄×C₁₀₁	C₂³	1	2	yes	—
101	C₂×C₄²×C₁₀₁	—	2	2	no	—
102	C₂×C₄²×C₁₀₁	C₂×C₄	1	1	yes	characteristic, complemented
103	#99×C₁₀₁	—	2	4	no	—
104	#99×C₁₀₁	—	2	2	no	—
105	#99×C₁₀₁	—	2	8	no	—
106	#99×C₁₀₁	—	4	4	no	—
107	#99×C₁₀₁	D₄	1	4	yes	direct product factor
108	#95×C₁₀₁	—	2	2	no	—
109	#95×C₁₀₁	—	2	2	no	—
110	C₂⁴×C₁₀₁	—	2	2	no	—
111	C₂⁴×C₁₀₁	—	2	2	no	—
112	C₂⁴×C₁₀₁	—	2	4	no	—
113	C₂⁴×C₁₀₁	—	2	2	no	—
114	C₂⁴×C₁₀₁	—	2	2	no	—
115	C₂⁴×C₁₀₁	—	2	4	no	—
116	C₂⁴×C₁₀₁	—	4	2	no	—
117	C₂⁴×C₁₀₁	—	4	4	no	—
118	C₂⁴×C₁₀₁	—	4	4	no	—
119	C₂⁴×C₁₀₁	—	8	2	no	—
120	C₂⁴×C₁₀₁	—	8	2	no	—
121	C₂⁴×C₁₀₁	C₂²×C₄	1	2	yes	—
122	C₂⁴×C₁₀₁	C₂²×C₄	1	2	yes	—
123	C₂⁴×C₁₀₁	C₂²×C₄	1	2	yes	—
124	C₂⁴×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
125	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
126	C₂⁴×C₁₀₁	C₂×D₄	1	4	yes	—
127	C₂⁴×C₁₀₁	C₂⁴	1	1	yes	characteristic
128	C₂×D₄×C₁₀₁	—	2	2	no	—
129	C₂×D₄×C₁₀₁	—	2	2	no	—
130	C₂×D₄×C₁₀₁	—	2	8	no	—
131	C₂×D₄×C₁₀₁	—	2	4	no	—
132	C₂×D₄×C₁₀₁	—	2	4	no	—
133	C₂×D₄×C₁₀₁	—	2	2	no	—
134	C₂×D₄×C₁₀₁	—	2	2	no	—
135	C₂×D₄×C₁₀₁	—	2	4	no	—
136	C₂×D₄×C₁₀₁	—	2	4	no	—
137	C₂×D₄×C₁₀₁	—	2	2	no	—
138	C₂×D₄×C₁₀₁	—	2	4	no	—
139	C₂×D₄×C₁₀₁	—	2	2	no	—
140	C₂×D₄×C₁₀₁	—	2	4	no	—
141	C₂×D₄×C₁₀₁	—	2	4	no	—
142	C₂×D₄×C₁₀₁	—	2	1	no	—
143	C₂×D₄×C₁₀₁	—	2	1	no	—
144	C₂×D₄×C₁₀₁	—	2	4	no	—
145	C₂×D₄×C₁₀₁	—	4	2	no	—
146	C₂×D₄×C₁₀₁	—	4	4	no	—
147	C₂×D₄×C₁₀₁	—	4	2	no	—
148	C₂×D₄×C₁₀₁	—	4	2	no	—
149	C₂×D₄×C₁₀₁	—	4	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	8	no	—
154	C₂×D₄×C₁₀₁	—	4	8	no	—
155	C₂×D₄×C₁₀₁	—	4	8	no	—
156	C₂×D₄×C₁₀₁	—	4	8	no	—
157	C₂×D₄×C₁₀₁	—	4	4	no	—
158	C₂×D₄×C₁₀₁	—	4	4	no	—
159	C₂×D₄×C₁₀₁	—	4	4	no	—
160	C₂×D₄×C₁₀₁	—	8	2	no	—
161	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
162	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	1	yes	characteristic
163	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	4	yes	—
164	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
165	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	4	yes	—
166	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	2	yes	—
167	C₂×D₄×C₁₀₁	C₂²⋊C₄	1	1	yes	characteristic
168	C₂×D₄×C₁₀₁	C₂×D₄	1	2	yes	—
169	C₂×D₄×C₁₀₁	#41	1	2	yes	—
170	C₂²×C₄×C₁₀₁	—	2	2	no	—
171	C₂²×C₄×C₁₀₁	—	2	2	no	—
172	C₂²×C₄×C₁₀₁	—	2	2	no	—
173	C₂²×C₄×C₁₀₁	—	2	1	no	—
174	C₂²×C₄×C₁₀₁	—	2	1	no	—
175	C₂²×C₄×C₁₀₁	—	2	4	no	—
176	C₂²×C₄×C₁₀₁	—	2	2	no	—
177	C₂²×C₄×C₁₀₁	—	2	4	no	—
178	C₂²×C₄×C₁₀₁	—	4	2	no	—
179	C₂²×C₄×C₁₀₁	—	4	2	no	—
180	C₂²×C₄×C₁₀₁	—	4	2	no	—
181	C₂²×C₄×C₁₀₁	—	4	8	no	—
182	C₂²×C₄×C₁₀₁	—	4	8	no	—
183	C₂²×C₄×C₁₀₁	—	8	4	no	—
184	C₂²×C₄×C₁₀₁	C₂²×C₄	1	2	yes	—
185	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
186	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
187	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
188	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
189	C₂²×C₄×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
190	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
191	C₂²×C₄×C₁₀₁	C₂×D₄	1	2	yes	—
192	C₄⋊C₄×C₁₀₁	—	2	2	no	—
193	C₄⋊C₄×C₁₀₁	—	2	1	no	—
194	C₄⋊C₄×C₁₀₁	—	2	1	no	—
195	C₄⋊C₄×C₁₀₁	—	4	4	no	—
196	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
197	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
198	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
199	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
200	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
201	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
202	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
203	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
204	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
205	C₂²⋊C₄×C₁₀₁	—	2	2	no	—
206	C₂²⋊C₄×C₁₀₁	—	2	4	no	—
207	C₂²⋊C₄×C₁₀₁	—	4	8	no	—
208	C₂²⋊C₄×C₁₀₁	—	4	8	no	—
209	C₂²⋊C₄×C₁₀₁	—	8	4	no	—
210	C₂²⋊C₄×C₁₀₁	C₂×D₄	1	4	yes	complemented
211	C₄²×C₁₀₁	—	2	1	no	—
212	C₄²×C₁₀₁	—	2	1	no	—
213	C₄²×C₁₀₁	—	4	4	no	—
214	C₂³×C₁₀₁	—	2	1	no	—
215	C₂³×C₁₀₁	—	2	2	no	—
216	C₂³×C₁₀₁	—	2	2	no	—
217	C₂³×C₁₀₁	—	2	1	no	—
218	C₂³×C₁₀₁	—	2	4	no	—
219	C₂³×C₁₀₁	—	2	4	no	—
220	C₂³×C₁₀₁	—	2	8	no	—
221	C₂³×C₁₀₁	—	2	4	no	—
222	C₂³×C₁₀₁	—	2	2	no	—
223	C₂³×C₁₀₁	—	2	2	no	—
224	C₂³×C₁₀₁	—	2	4	no	—
225	C₂³×C₁₀₁	—	2	4	no	—
226	C₂³×C₁₀₁	—	2	2	no	—
227	C₂³×C₁₀₁	—	2	2	no	—
228	C₂³×C₁₀₁	—	2	2	no	—
229	C₂³×C₁₀₁	—	4	1	no	—
230	C₂³×C₁₀₁	—	4	4	no	—
231	C₂³×C₁₀₁	—	4	2	no	—
232	C₂³×C₁₀₁	—	4	1	no	—
233	C₂³×C₁₀₁	—	4	4	no	—
234	C₂³×C₁₀₁	—	4	2	no	—
235	C₂³×C₁₀₁	—	4	4	no	—
236	C₂³×C₁₀₁	—	4	2	no	—
237	C₂³×C₁₀₁	—	4	4	no	—
238	C₂³×C₁₀₁	—	4	4	no	—
239	C₂³×C₁₀₁	—	4	1	no	—
240	C₂³×C₁₀₁	—	4	1	no	—
241	C₂³×C₁₀₁	—	4	4	no	—
242	C₂³×C₁₀₁	—	4	2	no	—
243	C₂³×C₁₀₁	—	4	2	no	—
244	C₂³×C₁₀₁	—	4	4	no	—
245	C₂³×C₁₀₁	—	8	2	no	—
246	C₂³×C₁₀₁	—	8	2	no	—
247	C₂³×C₁₀₁	—	8	4	no	—
248	C₂³×C₁₀₁	—	8	4	no	—
249	C₂³×C₁₀₁	—	8	8	no	—
250	C₂³×C₁₀₁	—	8	8	no	—
251	C₂³×C₁₀₁	—	8	8	no	—
252	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
253	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	4	yes	—
254	C₂³×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
255	C₂³×C₁₀₁	C₄×D₄	1	2	yes	complemented
256	C₂³×C₁₀₁	C₂³×C₄	1	1	yes	characteristic
257	C₂³×C₁₀₁	C₂²×D₄	1	2	yes	—
258	C₂³×C₁₀₁	C₂²×D₄	1	1	yes	characteristic
259	C₂³×C₁₀₁	C₂×#41	1	1	yes	characteristic
260	C₂³×C₁₀₁	H(5,𝔽₂)	1	2	yes	—
261	D₄×C₁₀₁	—	2	4	no	—
262	D₄×C₁₀₁	—	2	4	no	—
263	D₄×C₁₀₁	—	2	4	no	—
264	D₄×C₁₀₁	—	2	8	no	—
265	D₄×C₁₀₁	—	2	2	no	—
266	D₄×C₁₀₁	—	2	4	no	—
267	D₄×C₁₀₁	—	4	2	no	—
268	D₄×C₁₀₁	—	4	4	no	—
269	D₄×C₁₀₁	—	4	8	no	—
270	D₄×C₁₀₁	—	4	2	no	—
271	D₄×C₁₀₁	—	4	8	no	—
272	D₄×C₁₀₁	—	4	4	no	—
273	D₄×C₁₀₁	—	4	4	no	—
274	D₄×C₁₀₁	—	4	4	no	—
275	D₄×C₁₀₁	—	4	4	no	—
276	D₄×C₁₀₁	—	4	2	no	—
277	D₄×C₁₀₁	—	8	4	no	—
278	D₄×C₁₀₁	#99	1	4	yes	direct product factor
279	C₂×C₄×C₁₀₁	—	2	1	no	—
280	C₂×C₄×C₁₀₁	—	2	1	no	—
281	C₂×C₄×C₁₀₁	—	2	4	no	—
282	C₂×C₄×C₁₀₁	—	2	2	no	—
283	C₂×C₄×C₁₀₁	—	2	1	no	—
284	C₂×C₄×C₁₀₁	—	2	2	no	—
285	C₂×C₄×C₁₀₁	—	2	1	no	—
286	C₂×C₄×C₁₀₁	—	2	2	no	—
287	C₂×C₄×C₁₀₁	—	2	2	no	—
288	C₂×C₄×C₁₀₁	—	2	4	no	—
289	C₂×C₄×C₁₀₁	—	4	1	no	—
290	C₂×C₄×C₁₀₁	—	4	2	no	—
291	C₂×C₄×C₁₀₁	—	4	4	no	—
292	C₂×C₄×C₁₀₁	—	4	4	no	—
293	C₂×C₄×C₁₀₁	—	4	2	no	—
294	C₂×C₄×C₁₀₁	—	4	2	no	—
295	C₂×C₄×C₁₀₁	—	4	2	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	2	no	—
300	C₂×C₄×C₁₀₁	—	4	4	no	—
301	C₂×C₄×C₁₀₁	—	4	2	no	—
302	C₂×C₄×C₁₀₁	—	4	4	no	—
303	C₂×C₄×C₁₀₁	—	4	4	no	—
304	C₂×C₄×C₁₀₁	—	4	2	no	—
305	C₂×C₄×C₁₀₁	—	8	16	no	—
306	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
307	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	2	yes	—
308	C₂×C₄×C₁₀₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
309	C₂×C₄×C₁₀₁	C₄×D₄	1	2	yes	complemented
310	C₂²×C₁₀₁	—	2	2	no	—
311	C₂²×C₁₀₁	—	2	2	no	—
312	C₂²×C₁₀₁	—	2	1	no	—
313	C₂²×C₁₀₁	—	2	2	no	—
314	C₂²×C₁₀₁	—	2	1	no	—
315	C₂²×C₁₀₁	—	2	2	no	—
316	C₂²×C₁₀₁	—	2	2	no	—
317	C₂²×C₁₀₁	—	2	2	no	—
318	C₂²×C₁₀₁	—	2	4	no	—
319	C₂²×C₁₀₁	—	2	2	no	—
320	C₂²×C₁₀₁	—	2	4	no	—
321	C₂²×C₁₀₁	—	2	4	no	—
322	C₂²×C₁₀₁	—	2	2	no	—
323	C₂²×C₁₀₁	—	4	1	no	—
324	C₂²×C₁₀₁	—	4	1	no	—
325	C₂²×C₁₀₁	—	4	2	no	—
326	C₂²×C₁₀₁	—	4	8	no	—
327	C₂²×C₁₀₁	—	4	8	no	—
328	C₂²×C₁₀₁	—	4	4	no	—
329	C₂²×C₁₀₁	—	4	4	no	—
330	C₂²×C₁₀₁	—	4	2	no	—
331	C₂²×C₁₀₁	—	4	2	no	—
332	C₂²×C₁₀₁	—	4	1	no	—
333	C₂²×C₁₀₁	—	4	1	no	—
334	C₂²×C₁₀₁	—	4	2	no	—
335	C₂²×C₁₀₁	—	4	2	no	—
336	C₂²×C₁₀₁	—	4	2	no	—
337	C₂²×C₁₀₁	—	8	4	no	—
338	C₂²×C₁₀₁	—	8	4	no	—
339	C₂²×C₁₀₁	—	8	2	no	—
340	C₂²×C₁₀₁	—	8	2	no	—
341	C₂²×C₁₀₁	—	8	8	no	—
342	C₂²×C₁₀₁	—	8	2	no	—
343	C₂²×C₁₀₁	—	8	2	no	—
344	C₂²×C₁₀₁	—	8	8	no	—
345	C₂²×C₁₀₁	C₂×#99	1	4	yes	complemented
346	C₂²×C₁₀₁	C₂²×C₂²⋊C₄	1	1	yes	characteristic
347	C₂²×C₁₀₁	C₂×C₄×D₄	1	1	yes	characteristic
348	C₂²×C₁₀₁	#518	1	1	yes	characteristic
349	C₂²×C₁₀₁	D₄²	1	2	yes	—
350	C₂²×C₁₀₁	#546	1	2	yes	—
351	C₄×C₁₀₁	—	2	2	no	—
352	C₄×C₁₀₁	—	2	1	no	—
353	C₄×C₁₀₁	—	2	2	no	—
354	C₄×C₁₀₁	—	4	4	no	—
355	C₄×C₁₀₁	—	4	2	no	—
356	C₄×C₁₀₁	—	4	1	no	—
357	C₄×C₁₀₁	—	4	1	no	—
358	C₄×C₁₀₁	—	8	2	no	—
359	C₄×C₁₀₁	—	8	4	no	—
360	C₄×C₁₀₁	C₂×#99	1	2	yes	complemented
361	D₄×#99	C₁₀₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
362	C₂×C₁₀₁	—	2	2	no	—
363	C₂×C₁₀₁	—	2	2	no	—
364	C₂×C₁₀₁	—	2	1	no	—
365	C₂×C₁₀₁	—	2	1	no	—
366	C₂×C₁₀₁	—	2	4	no	—
367	C₂×C₁₀₁	—	4	4	no	—
368	C₂×C₁₀₁	—	4	2	no	—
369	C₂×C₁₀₁	—	4	2	no	—
370	C₂×C₁₀₁	—	8	2	no	—
371	C₂×C₁₀₁	D₄×C₂²⋊C₄	1	1	yes	characteristic
372	C₂×C₁₀₁	C₂²×#99	1	1	yes	characteristic
373	C₂×C₁₀₁	#2883	1	1	yes	characteristic
374	C₂×D₄²	C₂×C₁₀₁	1	1	yes	characteristic
375	C₂²×#99	C₂×C₁₀₁	1	2	yes	complemented
376	D₄×C₂²⋊C₄	C₂×C₁₀₁	1	2	yes	complemented
377	#1964	C₂×C₁₀₁	1	2	yes	complemented
378	#1898	C₂×C₁₀₁	1	4	yes	complemented
379	#1799	C₂×C₁₀₁	1	1	yes	characteristic, complemented
380	#1781	C₂×C₁₀₁	1	2	yes	complemented
381	C₄×#99	C₂×C₁₀₁	1	1	yes	characteristic, complemented
382	C₁₀₁	D₄×#99	1	1	yes	characteristic, direct product factor, Sylow
383	C₂³×D₄	C₄×C₁₀₁	1	1	yes	characteristic, complemented
384	C₂³×D₄	C₂²×C₁₀₁	1	2	yes	—
385	C₂³×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
386	D₄²	—	2	2	no	—
387	D₄²	—	2	4	no	—
388	D₄²	—	2	2	no	—
389	C₂×#127	C₄×C₁₀₁	1	1	yes	characteristic, complemented
390	C₂×#121	C₄×C₁₀₁	1	2	yes	complemented
391	C₂×#121	C₄×C₁₀₁	1	1	yes	characteristic, complemented
392	C₂×#121	C₂²×C₁₀₁	1	1	yes	characteristic
393	C₂×#120	C₄×C₁₀₁	1	2	yes	complemented
394	C₂×#120	C₂²×C₁₀₁	1	2	yes	—
395	C₂×C₄×D₄	—	2	2	no	—
396	C₂×C₄×D₄	C₄×C₁₀₁	1	1	yes	characteristic, complemented
397	C₂×C₄×D₄	C₂²×C₁₀₁	1	1	yes	characteristic
398	C₂²×C₂²⋊C₄	C₂²×C₁₀₁	1	4	yes	complemented
399	C₂×#99	—	2	8	no	—
400	C₂×#99	C₂²×C₁₀₁	1	2	yes	—
401	C₂×#99	C₂²×C₁₀₁	1	1	yes	characteristic
402	C₂×#99	C₂²×C₁₀₁	1	1	yes	characteristic
403	C₂×#99	C₂²×C₁₀₁	1	4	yes	complemented
404	C₂×#99	C₂²×C₁₀₁	1	4	yes	complemented
405	#390	—	2	2	no	—
406	#386	—	2	4	no	—
407	#380	C₂²×C₁₀₁	1	2	yes	complemented
408	#379	C₂²×C₁₀₁	1	4	yes	complemented
409	C₄×C₂²⋊C₄	C₂²×C₁₀₁	1	2	yes	complemented
410	#342	C₂²×C₁₀₁	1	2	yes	complemented
411	#342	C₂²×C₁₀₁	1	2	yes	complemented
412	C₂⁵	C₂×C₄×C₁₀₁	1	2	yes	complemented
413	C₂⁵	C₂³×C₁₀₁	1	2	yes	—
414	C₂²×D₄	—	2	4	no	—
415	C₂²×D₄	—	2	4	no	—
416	C₂²×D₄	—	2	2	no	—
417	C₂²×D₄	—	2	1	no	—
418	C₂²×D₄	—	2	1	no	—
419	C₂²×D₄	—	2	4	no	—
420	C₂²×D₄	—	2	4	no	—
421	C₂²×D₄	—	4	4	no	—
422	C₂²×D₄	—	4	4	no	—
423	C₂²×D₄	—	4	4	no	—
424	C₂²×D₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic
425	C₂²×D₄	C₂×C₄×C₁₀₁	1	2	yes	—
426	C₂²×D₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic
427	C₂²×D₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
428	C₂²×D₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
429	C₂²×D₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
430	C₂²×D₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
431	C₂²×D₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
432	C₂²×D₄	D₄×C₁₀₁	1	2	yes	—
433	C₂²×D₄	D₄×C₁₀₁	1	4	yes	—
434	C₂²×D₄	D₄×C₁₀₁	1	2	yes	—
435	C₂²×D₄	C₂³×C₁₀₁	1	2	yes	—
436	C₂²×D₄	C₂³×C₁₀₁	1	1	yes	characteristic
437	C₂³×C₄	—	2	4	no	—
438	C₂³×C₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
439	C₂³×C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
440	C₂³×C₄	C₂³×C₁₀₁	1	1	yes	characteristic
441	#127	—	2	2	no	—
442	#127	—	2	2	no	—
443	#121	—	2	2	no	—
444	#121	—	2	2	no	—
445	#121	—	2	4	no	—
446	#121	—	2	4	no	—
447	#121	—	2	2	no	—
448	#121	—	2	2	no	—
449	#120	—	2	4	no	—
450	#120	—	2	4	no	—
451	#120	—	2	4	no	—
452	#120	—	2	4	no	—
453	C₄×D₄	—	2	2	no	—
454	C₄×D₄	—	2	1	no	—
455	C₄×D₄	—	2	1	no	—
456	C₄×D₄	—	2	2	no	—
457	C₄×D₄	—	2	2	no	—
458	C₄×D₄	—	4	8	no	—
459	C₂×C₄⋊C₄	—	2	2	no	—
460	C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
461	C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
462	C₂×C₂²⋊C₄	—	2	8	no	—
463	C₂×C₂²⋊C₄	—	2	4	no	—
464	C₂×C₂²⋊C₄	—	2	4	no	—
465	C₂×C₂²⋊C₄	—	2	4	no	—
466	C₂×C₂²⋊C₄	—	4	4	no	—
467	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
468	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
469	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
470	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	1	2	yes	complemented
471	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	4	yes	—
472	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	2	yes	—
473	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	1	yes	characteristic
474	C₂×C₂²⋊C₄	C₂³×C₁₀₁	1	2	yes	—
475	C₂×C₄²	—	2	2	no	—
476	C₂×C₄²	C₂×C₄×C₁₀₁	1	1	yes	characteristic, complemented
477	#99	—	2	4	no	—
478	#99	—	2	2	no	—
479	#99	—	2	8	no	—
480	#99	—	4	4	no	—
481	#99	D₄×C₁₀₁	1	4	yes	direct product factor
482	#95	—	2	2	no	—
483	#95	—	2	2	no	—
484	C₂⁴	—	2	2	no	—
485	C₂⁴	—	2	2	no	—
486	C₂⁴	—	2	4	no	—
487	C₂⁴	—	2	2	no	—
488	C₂⁴	—	2	2	no	—
489	C₂⁴	—	2	4	no	—
490	C₂⁴	—	4	2	no	—
491	C₂⁴	—	4	4	no	—
492	C₂⁴	—	4	4	no	—
493	C₂⁴	—	8	2	no	—
494	C₂⁴	—	8	2	no	—
495	C₂⁴	C₂²×C₄×C₁₀₁	1	2	yes	—
496	C₂⁴	C₂²×C₄×C₁₀₁	1	2	yes	—
497	C₂⁴	C₂²×C₄×C₁₀₁	1	2	yes	—
498	C₂⁴	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
499	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
500	C₂⁴	C₂×D₄×C₁₀₁	1	4	yes	—
501	C₂⁴	C₂⁴×C₁₀₁	1	1	yes	characteristic
502	C₂×D₄	—	2	2	no	—
503	C₂×D₄	—	2	2	no	—
504	C₂×D₄	—	2	8	no	—
505	C₂×D₄	—	2	4	no	—
506	C₂×D₄	—	2	4	no	—
507	C₂×D₄	—	2	2	no	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	—	2	4	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	2	no	—
512	C₂×D₄	—	2	4	no	—
513	C₂×D₄	—	2	2	no	—
514	C₂×D₄	—	2	4	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	1	no	—
517	C₂×D₄	—	2	1	no	—
518	C₂×D₄	—	2	4	no	—
519	C₂×D₄	—	4	2	no	—
520	C₂×D₄	—	4	4	no	—
521	C₂×D₄	—	4	2	no	—
522	C₂×D₄	—	4	2	no	—
523	C₂×D₄	—	4	2	no	—
524	C₂×D₄	—	4	4	no	—
525	C₂×D₄	—	4	8	no	—
526	C₂×D₄	—	4	8	no	—
527	C₂×D₄	—	4	8	no	—
528	C₂×D₄	—	4	8	no	—
529	C₂×D₄	—	4	8	no	—
530	C₂×D₄	—	4	8	no	—
531	C₂×D₄	—	4	4	no	—
532	C₂×D₄	—	4	4	no	—
533	C₂×D₄	—	4	4	no	—
534	C₂×D₄	—	8	2	no	—
535	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
536	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
537	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	4	yes	—
538	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
539	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	4	yes	—
540	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	2	yes	—
541	C₂×D₄	C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
542	C₂×D₄	C₂×D₄×C₁₀₁	1	2	yes	—
543	C₂×D₄	#41×C₁₀₁	1	2	yes	—
544	C₂²×C₄	—	2	2	no	—
545	C₂²×C₄	—	2	2	no	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	1	no	—
548	C₂²×C₄	—	2	1	no	—
549	C₂²×C₄	—	2	4	no	—
550	C₂²×C₄	—	2	2	no	—
551	C₂²×C₄	—	2	4	no	—
552	C₂²×C₄	—	4	2	no	—
553	C₂²×C₄	—	4	2	no	—
554	C₂²×C₄	—	4	2	no	—
555	C₂²×C₄	—	4	8	no	—
556	C₂²×C₄	—	4	8	no	—
557	C₂²×C₄	—	8	4	no	—
558	C₂²×C₄	C₂²×C₄×C₁₀₁	1	2	yes	—
559	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
560	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
561	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
562	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
563	C₂²×C₄	C₂²×C₄×C₁₀₁	1	1	yes	characteristic
564	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
565	C₂²×C₄	C₂×D₄×C₁₀₁	1	2	yes	—
566	C₄⋊C₄	—	2	2	no	—
567	C₄⋊C₄	—	2	1	no	—
568	C₄⋊C₄	—	2	1	no	—
569	C₄⋊C₄	—	4	4	no	—
570	C₂²⋊C₄	—	2	2	no	—
571	C₂²⋊C₄	—	2	2	no	—
572	C₂²⋊C₄	—	2	4	no	—
573	C₂²⋊C₄	—	2	2	no	—
574	C₂²⋊C₄	—	2	2	no	—
575	C₂²⋊C₄	—	2	2	no	—
576	C₂²⋊C₄	—	2	4	no	—
577	C₂²⋊C₄	—	2	4	no	—
578	C₂²⋊C₄	—	2	2	no	—
579	C₂²⋊C₄	—	2	2	no	—
580	C₂²⋊C₄	—	2	4	no	—
581	C₂²⋊C₄	—	4	8	no	—
582	C₂²⋊C₄	—	4	8	no	—
583	C₂²⋊C₄	—	8	4	no	—
584	C₂²⋊C₄	C₂×D₄×C₁₀₁	1	4	yes	complemented
585	C₄²	—	2	1	no	—
586	C₄²	—	2	1	no	—
587	C₄²	—	4	4	no	—
588	C₂³	—	2	8	no	—
589	C₂³	—	2	4	no	—
590	C₂³	—	2	1	no	—
591	C₂³	—	2	2	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	1	no	—
594	C₂³	—	2	4	no	—
595	C₂³	—	2	4	no	—
596	C₂³	—	2	2	no	—
597	C₂³	—	2	2	no	—
598	C₂³	—	2	4	no	—
599	C₂³	—	2	4	no	—
600	C₂³	—	2	2	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	4	1	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	4	2	no	—
606	C₂³	—	4	1	no	—
607	C₂³	—	4	4	no	—
608	C₂³	—	4	2	no	—
609	C₂³	—	4	4	no	—
610	C₂³	—	4	2	no	—
611	C₂³	—	4	4	no	—
612	C₂³	—	4	4	no	—
613	C₂³	—	4	1	no	—
614	C₂³	—	4	1	no	—
615	C₂³	—	4	4	no	—
616	C₂³	—	4	2	no	—
617	C₂³	—	4	2	no	—
618	C₂³	—	4	4	no	—
619	C₂³	—	8	2	no	—
620	C₂³	—	8	2	no	—
621	C₂³	—	8	4	no	—
622	C₂³	—	8	4	no	—
623	C₂³	—	8	8	no	—
624	C₂³	—	8	8	no	—
625	C₂³	—	8	8	no	—
626	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
627	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	4	yes	—
628	C₂³	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
629	C₂³	C₄×D₄×C₁₀₁	1	2	yes	complemented
630	C₂³	C₂³×C₄×C₁₀₁	1	1	yes	characteristic
631	C₂³	C₂²×D₄×C₁₀₁	1	2	yes	—
632	C₂³	C₂²×D₄×C₁₀₁	1	1	yes	characteristic
633	C₂³	C₂×#41×C₁₀₁	1	1	yes	characteristic
634	C₂³	H(5,𝔽₂)×C₁₀₁	1	2	yes	—
635	D₄	—	2	4	no	—
636	D₄	—	2	8	no	—
637	D₄	—	2	4	no	—
638	D₄	—	2	4	no	—
639	D₄	—	2	2	no	—
640	D₄	—	2	4	no	—
641	D₄	—	4	2	no	—
642	D₄	—	4	4	no	—
643	D₄	—	4	8	no	—
644	D₄	—	4	2	no	—
645	D₄	—	4	8	no	—
646	D₄	—	4	4	no	—
647	D₄	—	4	4	no	—
648	D₄	—	4	4	no	—
649	D₄	—	4	4	no	—
650	D₄	—	4	2	no	—
651	D₄	—	8	4	no	—
652	D₄	#99×C₁₀₁	1	4	yes	direct product factor
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	4	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	4	1	no	—
664	C₂×C₄	—	4	2	no	—
665	C₂×C₄	—	4	4	no	—
666	C₂×C₄	—	4	4	no	—
667	C₂×C₄	—	4	2	no	—
668	C₂×C₄	—	4	2	no	—
669	C₂×C₄	—	4	2	no	—
670	C₂×C₄	—	4	2	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	2	no	—
674	C₂×C₄	—	4	4	no	—
675	C₂×C₄	—	4	2	no	—
676	C₂×C₄	—	4	4	no	—
677	C₂×C₄	—	4	4	no	—
678	C₂×C₄	—	4	2	no	—
679	C₂×C₄	—	8	16	no	—
680	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
681	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	2	yes	—
682	C₂×C₄	C₂×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
683	C₂×C₄	C₄×D₄×C₁₀₁	1	2	yes	complemented
684	C₂²	—	2	2	no	—
685	C₂²	—	2	2	no	—
686	C₂²	—	2	1	no	—
687	C₂²	—	2	2	no	—
688	C₂²	—	2	1	no	—
689	C₂²	—	2	2	no	—
690	C₂²	—	2	2	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	4	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	4	no	—
695	C₂²	—	2	4	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	4	1	no	—
698	C₂²	—	4	1	no	—
699	C₂²	—	4	2	no	—
700	C₂²	—	4	8	no	—
701	C₂²	—	4	4	no	—
702	C₂²	—	4	4	no	—
703	C₂²	—	4	8	no	—
704	C₂²	—	4	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	4	1	no	—
707	C₂²	—	4	1	no	—
708	C₂²	—	4	2	no	—
709	C₂²	—	4	2	no	—
710	C₂²	—	4	2	no	—
711	C₂²	—	8	4	no	—
712	C₂²	—	8	4	no	—
713	C₂²	—	8	2	no	—
714	C₂²	—	8	2	no	—
715	C₂²	—	8	8	no	—
716	C₂²	—	8	2	no	—
717	C₂²	—	8	2	no	—
718	C₂²	—	8	8	no	—
719	C₂²	C₂×#99×C₁₀₁	1	4	yes	complemented
720	C₂²	C₂²×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
721	C₂²	C₂×C₄×D₄×C₁₀₁	1	1	yes	characteristic
722	C₂²	#518×C₁₀₁	1	1	yes	characteristic
723	C₂²	D₄²×C₁₀₁	1	2	yes	—
724	C₂²	#546×C₁₀₁	1	2	yes	—
725	C₄	—	2	2	no	—
726	C₄	—	2	1	no	—
727	C₄	—	2	2	no	—
728	C₄	—	4	4	no	—
729	C₄	—	4	2	no	—
730	C₄	—	4	1	no	—
731	C₄	—	4	1	no	—
732	C₄	—	8	4	no	—
733	C₄	—	8	2	no	—
734	C₄	C₂×#99×C₁₀₁	1	2	yes	complemented
735	C₂	—	2	2	no	—
736	C₂	—	2	2	no	—
737	C₂	—	2	1	no	—
738	C₂	—	2	1	no	—
739	C₂	—	2	4	no	—
740	C₂	—	4	2	no	—
741	C₂	—	4	4	no	—
742	C₂	—	4	2	no	—
743	C₂	—	8	2	no	—
744	C₂	D₄×C₂²⋊C₄×C₁₀₁	1	1	yes	characteristic
745	C₂	C₂²×#99×C₁₀₁	1	1	yes	characteristic
746	C₂	C₁₀₁×#2883	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₀₁	C₂²×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₁₀₁
Frattini, cosocle	C₂⁴	C₂⁴×C₁₀₁
prime radical	C₂×D₄²×C₁₀₁	C₂
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₀₁ ◁ C₂³×D₄×C₁₀₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×#99×C₁₀₁	C₂	semidirect
3. D₄×C₂²⋊C₄×C₁₀₁	C₂	semidirect
4. C₁₀₁×#1964	C₂	semidirect
5. C₁₀₁×#1898	C₂	semidirect
6. C₁₀₁×#1799	C₂	semidirect
7. C₁₀₁×#1781	C₂	semidirect
8. C₄×#99×C₁₀₁	C₂	semidirect
9. C₂³×D₄×C₁₀₁	C₄	semidirect
15. C₂×#127×C₁₀₁	C₄	semidirect
16. C₂×#121×C₁₀₁	C₄	semidirect
17. C₂×#121×C₁₀₁	C₄	semidirect
19. C₂×#120×C₁₀₁	C₄	semidirect
22. C₂×C₄×D₄×C₁₀₁	C₄	semidirect
24. C₂²×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
29. C₂×#99×C₁₀₁	C₂²	semidirect
30. C₂×#99×C₁₀₁	C₂²	semidirect
33. #380×C₁₀₁	C₂²	semidirect
34. #379×C₁₀₁	C₂²	semidirect
35. C₄×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
36. #342×C₁₀₁	C₂²	semidirect
37. #342×C₁₀₁	C₂²	semidirect
38. C₂⁵×C₁₀₁	C₂×C₄	semidirect
53. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
54. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
55. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
56. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
57. C₂²×D₄×C₁₀₁	C₂×C₄	semidirect
64. C₂³×C₄×C₁₀₁	C₂×C₄	semidirect
65. C₂³×C₄×C₁₀₁	C₂×C₄	semidirect
86. C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	semidirect
87. C₂×C₄⋊C₄×C₁₀₁	C₂×C₄	semidirect
93. C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	semidirect
94. C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	semidirect
95. C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	semidirect
96. C₂×C₂²⋊C₄×C₁₀₁	C₂×C₄	semidirect
102. C₂×C₄²×C₁₀₁	C₂×C₄	semidirect
107. #99×C₁₀₁	D₄	direct (N × H)
210. C₂²⋊C₄×C₁₀₁	C₂×D₄	semidirect
255. C₂³×C₁₀₁	C₄×D₄	semidirect
278. D₄×C₁₀₁	#99	direct (N × H)
309. C₂×C₄×C₁₀₁	C₄×D₄	semidirect
345. C₂²×C₁₀₁	C₂×#99	semidirect
360. C₄×C₁₀₁	C₂×#99	semidirect
361. D₄×#99	C₁₀₁	direct (N × H)
375. C₂²×#99	C₂×C₁₀₁	semidirect
376. D₄×C₂²⋊C₄	C₂×C₁₀₁	semidirect
377. #1964	C₂×C₁₀₁	semidirect
378. #1898	C₂×C₁₀₁	semidirect
379. #1799	C₂×C₁₀₁	semidirect
380. #1781	C₂×C₁₀₁	semidirect
381. C₄×#99	C₂×C₁₀₁	semidirect
382. C₁₀₁	D₄×#99	direct (N × H)
383. C₂³×D₄	C₄×C₁₀₁	semidirect
389. C₂×#127	C₄×C₁₀₁	semidirect
390. C₂×#121	C₄×C₁₀₁	semidirect
391. C₂×#121	C₄×C₁₀₁	semidirect
393. C₂×#120	C₄×C₁₀₁	semidirect
396. C₂×C₄×D₄	C₄×C₁₀₁	semidirect
398. C₂²×C₂²⋊C₄	C₂²×C₁₀₁	semidirect
403. C₂×#99	C₂²×C₁₀₁	semidirect
404. C₂×#99	C₂²×C₁₀₁	semidirect
407. #380	C₂²×C₁₀₁	semidirect
408. #379	C₂²×C₁₀₁	semidirect
409. C₄×C₂²⋊C₄	C₂²×C₁₀₁	semidirect
410. #342	C₂²×C₁₀₁	semidirect
411. #342	C₂²×C₁₀₁	semidirect
412. C₂⁵	C₂×C₄×C₁₀₁	semidirect
427. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
428. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
429. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
430. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
431. C₂²×D₄	C₂×C₄×C₁₀₁	semidirect
438. C₂³×C₄	C₂×C₄×C₁₀₁	semidirect
439. C₂³×C₄	C₂×C₄×C₁₀₁	semidirect
460. C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	semidirect
461. C₂×C₄⋊C₄	C₂×C₄×C₁₀₁	semidirect
467. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	semidirect
468. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	semidirect
469. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	semidirect
470. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₁	semidirect
476. C₂×C₄²	C₂×C₄×C₁₀₁	semidirect
481. #99	D₄×C₁₀₁	direct (N × H)
584. C₂²⋊C₄	C₂×D₄×C₁₀₁	semidirect
629. C₂³	C₄×D₄×C₁₀₁	semidirect
652. D₄	#99×C₁₀₁	direct (N × H)
683. C₂×C₄	C₄×D₄×C₁₀₁	semidirect
719. C₂²	C₂×#99×C₁₀₁	semidirect
734. C₄	C₂×#99×C₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₄²×C₁₀₁	2
C₂²×#99×C₁₀₁	2
D₄×C₂²⋊C₄×C₁₀₁	2
C₁₀₁×#1964	2
C₁₀₁×#1898	2
C₁₀₁×#1799	2
C₁₀₁×#1781	2
C₄×#99×C₁₀₁	2
D₄×#99	101

Subgroups — D4×#99×C101 #38804555

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×#99×C₁₀₁ #38804555