Finite Group Databasebeta

← C2×C32×D4×AGL(1,𝔽7) #72245620

Subgroups — C2×C32×D4×AGL(1,𝔽7) #72245620

Order 6048.

6608 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×(C22⋊D7)⋊C3C212yesmaximal, complemented
2C23×C32×AGL(1,𝔽7)C212yesmaximal, complemented
3C2×C32×C4⋊AGL(1,𝔽7)C211yesmaximal, characteristic, complemented
4C2×C32×D4×ΓL(1,𝔽8)C211yesmaximal, characteristic, complemented
5C32×D4×AGL(1,𝔽7)C218yesmaximal, direct product factor
6C2×C32×C4×AGL(1,𝔽7)C211yesmaximal, characteristic, complemented
7C2×C32×D4×D7C311yesmaximal, characteristic, complemented
8C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
9C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
10C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
11C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
12C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
13C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
14C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
15C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
16C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
17C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
18C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
19C2×C3×D4×AGL(1,𝔽7)C311yesmaximal, characteristic, direct product factor
20C23×C32×ΓL(1,𝔽8)C2212yescomplemented
21C22×C32×AGL(1,𝔽7)—28no—
22C22×C32×AGL(1,𝔽7)C2211yescharacteristic
23C22×C32×AGL(1,𝔽7)C2212yescomplemented
24C22×C32×AGL(1,𝔽7)C2218yescomplemented
25C32×D4×ΓL(1,𝔽8)C2214yescomplemented
26C2×C32×C4×ΓL(1,𝔽8)C2211yescharacteristic, complemented
27C32×(C22⋊D7)⋊C3C2218yescomplemented
28C2×C32×ΓL(1,𝔽8)⋊C4C2211yescharacteristic, complemented
29C32×C4⋊AGL(1,𝔽7)C2214yescomplemented
30C32×C4×AGL(1,𝔽7)C2214yescomplemented
31C23×C32×D7C2×C312yescomplemented
32C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
33C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
34C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
35C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
36C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
37C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
38C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
39C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
40C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
41C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
42C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
43C23×C3×AGL(1,𝔽7)C2×C312yescomplemented
44C2×C32×C7×D4C2×C311yescharacteristic, complemented
45C2×C32×C22⋊D7C2×C312yescomplemented
46C32×D4×D7C2×C318yescomplemented
47C2×C32×D28C2×C311yescharacteristic, complemented
48C2×C32×C4×D7C2×C311yescharacteristic, complemented
49C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
50C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
51C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
52C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
53C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
54C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
55C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
56C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
57C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
58C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
59C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
60C2×C3×D4×ΓL(1,𝔽8)C2×C311yescharacteristic, complemented
61C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
62C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
63C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
64C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
65C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
66C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
67C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
68C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
69C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
70C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
71C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
72C2×C3×(C22⋊D7)⋊C3C2×C312yescomplemented
73C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
74C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
75C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
76C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
77C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
78C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
79C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
80C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
81C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
82C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
83C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
84C3×D4×AGL(1,𝔽7)C2×C318yesdirect product factor
85C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
86C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
87C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
88C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
89C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
90C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
91C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
92C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
93C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
94C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
95C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
96C2×C3×C4⋊AGL(1,𝔽7)C2×C311yescharacteristic, complemented
97C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
98C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
99C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
100C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
101C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
102C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
103C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
104C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
105C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
106C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
107C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
108C2×C3×C4×AGL(1,𝔽7)C2×C311yescharacteristic, complemented
109C22×C33×D4—71nomaximal, Hall
110C22×C32×ΓL(1,𝔽8)—24no—
111C22×C32×ΓL(1,𝔽8)C2311yescharacteristic
112C22×C32×ΓL(1,𝔽8)C2314yescomplemented
113C2×C32×AGL(1,𝔽7)—24no—
114C2×C32×AGL(1,𝔽7)—216no—
115C2×C32×AGL(1,𝔽7)D414yesdirect product factor
116C2×C32×AGL(1,𝔽7)C2312yes—
117C2×C32×AGL(1,𝔽7)C2314yescomplemented
118C32×C4×ΓL(1,𝔽8)C2312yescomplemented
119C32×ΓL(1,𝔽8)⋊C4C2312yescomplemented
120C2×C3×D4×D7C3211yescharacteristic, complemented
121C2×C3×D4×D7C3211yescharacteristic, complemented
122C2×C3×D4×D7C3211yescharacteristic, complemented
123C2×C3×D4×D7C3211yescharacteristic, complemented
124C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
125C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
126C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
127C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
128C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
129C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
130C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
131C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
132C2×D4×AGL(1,𝔽7)C3211yescharacteristic, direct product factor
133C23×C32×C7C22×C312yescomplemented
134C22×C32×D7—28no—
135C22×C32×D7C22×C311yescharacteristic
136C22×C32×D7C22×C318yescomplemented
137C22×C32×D7C22×C312yescomplemented
138C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
139C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
140C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
141C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
142C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
143C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
144C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
145C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
146C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
147C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
148C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
149C23×C3×ΓL(1,𝔽8)C22×C312yescomplemented
150C22×C3×AGL(1,𝔽7)—28no—
151C22×C3×AGL(1,𝔽7)—28no—
152C22×C3×AGL(1,𝔽7)—28no—
153C22×C3×AGL(1,𝔽7)—28no—
154C22×C3×AGL(1,𝔽7)—28no—
155C22×C3×AGL(1,𝔽7)—28no—
156C22×C3×AGL(1,𝔽7)—28no—
157C22×C3×AGL(1,𝔽7)—28no—
158C22×C3×AGL(1,𝔽7)—28no—
159C22×C3×AGL(1,𝔽7)—28no—
160C22×C3×AGL(1,𝔽7)—28no—
161C22×C3×AGL(1,𝔽7)—28no—
162C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
163C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
164C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
165C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
166C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
167C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
168C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
169C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
170C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
171C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
172C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
173C22×C3×AGL(1,𝔽7)C22×C311yescharacteristic
174C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
175C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
176C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
177C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
178C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
179C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
180C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
181C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
182C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
183C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
184C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
185C22×C3×AGL(1,𝔽7)C22×C318yescomplemented
186C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
187C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
188C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
189C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
190C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
191C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
192C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
193C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
194C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
195C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
196C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
197C22×C3×AGL(1,𝔽7)C22×C312yescomplemented
198C32×C7×D4C22×C314yescomplemented
199C2×C32×C4×C7C22×C311yescharacteristic, complemented
200C32×C22⋊D7C22×C318yescomplemented
201C2×C32×Dic7C22×C311yescharacteristic, complemented
202C32×D28C22×C314yescomplemented
203C32×C4×D7C22×C314yescomplemented
204C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
205C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
206C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
207C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
208C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
209C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
210C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
211C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
212C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
213C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
214C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
215C3×D4×ΓL(1,𝔽8)C22×C314yescomplemented
216C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
217C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
218C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
219C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
220C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
221C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
222C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
223C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
224C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
225C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
226C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
227C2×C3×C4×ΓL(1,𝔽8)C22×C311yescharacteristic, complemented
228C3×(C22⋊D7)⋊C3C22×C318yescomplemented
229C3×(C22⋊D7)⋊C3C22×C318yescomplemented
230C3×(C22⋊D7)⋊C3C22×C318yescomplemented
231C3×(C22⋊D7)⋊C3C22×C318yescomplemented
232C3×(C22⋊D7)⋊C3C22×C318yescomplemented
233C3×(C22⋊D7)⋊C3C22×C318yescomplemented
234C3×(C22⋊D7)⋊C3C22×C318yescomplemented
235C3×(C22⋊D7)⋊C3C22×C318yescomplemented
236C3×(C22⋊D7)⋊C3C22×C318yescomplemented
237C3×(C22⋊D7)⋊C3C22×C318yescomplemented
238C3×(C22⋊D7)⋊C3C22×C318yescomplemented
239C3×(C22⋊D7)⋊C3C22×C318yescomplemented
240C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
241C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
242C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
243C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
244C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
245C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
246C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
247C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
248C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
249C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
250C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
251C2×C3×ΓL(1,𝔽8)⋊C4C22×C311yescharacteristic, complemented
252C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
253C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
254C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
255C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
256C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
257C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
258C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
259C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
260C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
261C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
262C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
263C3×C4⋊AGL(1,𝔽7)C22×C314yescomplemented
264C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
265C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
266C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
267C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
268C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
269C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
270C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
271C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
272C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
273C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
274C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
275C3×C4×AGL(1,𝔽7)C22×C314yescomplemented
276C24×C33—72no—
277C2×C33×D4—72no—
278C2×C33×D4—78no—
279C2×C33×D4—71no—
280C2×C33×D4—141no—
281C22×C33×C4—71no—
282C2×C32×ΓL(1,𝔽8)—24no—
283C2×C32×ΓL(1,𝔽8)C2×D412yescomplemented
284C2×C32×ΓL(1,𝔽8)C2411yescharacteristic
285C32×AGL(1,𝔽7)—24no—
286C32×AGL(1,𝔽7)C2×D414yesdirect product factor
287C23×C3×D7C2×C3212yescomplemented
288C23×C3×D7C2×C3212yescomplemented
289C23×C3×D7C2×C3212yescomplemented
290C23×C3×D7C2×C3212yescomplemented
291C23×AGL(1,𝔽7)C2×C3212yescomplemented
292C23×AGL(1,𝔽7)C2×C3212yescomplemented
293C23×AGL(1,𝔽7)C2×C3212yescomplemented
294C23×AGL(1,𝔽7)C2×C3212yescomplemented
295C23×AGL(1,𝔽7)C2×C3212yescomplemented
296C23×AGL(1,𝔽7)C2×C3212yescomplemented
297C23×AGL(1,𝔽7)C2×C3212yescomplemented
298C23×AGL(1,𝔽7)C2×C3212yescomplemented
299C23×AGL(1,𝔽7)C2×C3212yescomplemented
300C2×C3×C7×D4C2×C3211yescharacteristic, complemented
301C2×C3×C7×D4C2×C3211yescharacteristic, complemented
302C2×C3×C7×D4C2×C3211yescharacteristic, complemented
303C2×C3×C7×D4C2×C3211yescharacteristic, complemented
304C2×C3×C22⋊D7C2×C3212yescomplemented
305C2×C3×C22⋊D7C2×C3212yescomplemented
306C2×C3×C22⋊D7C2×C3212yescomplemented
307C2×C3×C22⋊D7C2×C3212yescomplemented
308C3×D4×D7C2×C3218yescomplemented
309C3×D4×D7C2×C3218yescomplemented
310C3×D4×D7C2×C3218yescomplemented
311C3×D4×D7C2×C3218yescomplemented
312C2×C3×D28C2×C3211yescharacteristic, complemented
313C2×C3×D28C2×C3211yescharacteristic, complemented
314C2×C3×D28C2×C3211yescharacteristic, complemented
315C2×C3×D28C2×C3211yescharacteristic, complemented
316C2×C3×C4×D7C2×C3211yescharacteristic, complemented
317C2×C3×C4×D7C2×C3211yescharacteristic, complemented
318C2×C3×C4×D7C2×C3211yescharacteristic, complemented
319C2×C3×C4×D7C2×C3211yescharacteristic, complemented
320C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
321C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
322C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
323C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
324C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
325C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
326C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
327C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
328C2×D4×ΓL(1,𝔽8)C2×C3211yescharacteristic, complemented
329C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
330C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
331C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
332C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
333C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
334C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
335C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
336C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
337C2×(C22⋊D7)⋊C3C2×C3212yescomplemented
338D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
339D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
340D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
341D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
342D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
343D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
344D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
345D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
346D4×AGL(1,𝔽7)C2×C3218yesdirect product factor
347C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
348C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
349C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
350C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
351C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
352C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
353C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
354C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
355C2×C4⋊AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
356C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
357C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
358C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
359C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
360C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
361C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
362C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
363C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
364C2×C4×AGL(1,𝔽7)C2×C3211yescharacteristic, complemented
365C22×C32×D4—71no—
366C22×C32×D4—71no—
367C22×C32×D4—71no—
368C22×C32×D4—71no—
369C22×C32×D4—71no—
370C22×C32×D4—71no—
371C22×C32×D4—71no—
372C22×C32×D4—71no—
373C22×C32×D4—71no—
374C22×C32×D4—71no—
375C22×C32×D4—71no—
376C22×C32×D4—71no—
377C22×C32×D4—71no—
378C22×C32×C7—24no—
379C22×C32×C7C23×C311yescharacteristic
380C22×C32×C7C23×C314yescomplemented
381C2×C32×D7—24no—
382C2×C32×D7—216no—
383C2×C32×D7C3×D414yescomplemented
384C2×C32×D7C23×C312yes—
385C2×C32×D7C23×C314yescomplemented
386C22×C3×ΓL(1,𝔽8)—24no—
387C22×C3×ΓL(1,𝔽8)—24no—
388C22×C3×ΓL(1,𝔽8)—24no—
389C22×C3×ΓL(1,𝔽8)—24no—
390C22×C3×ΓL(1,𝔽8)—24no—
391C22×C3×ΓL(1,𝔽8)—24no—
392C22×C3×ΓL(1,𝔽8)—24no—
393C22×C3×ΓL(1,𝔽8)—24no—
394C22×C3×ΓL(1,𝔽8)—24no—
395C22×C3×ΓL(1,𝔽8)—24no—
396C22×C3×ΓL(1,𝔽8)—24no—
397C22×C3×ΓL(1,𝔽8)—24no—
398C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
399C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
400C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
401C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
402C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
403C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
404C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
405C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
406C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
407C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
408C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
409C22×C3×ΓL(1,𝔽8)C23×C311yescharacteristic
410C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
411C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
412C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
413C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
414C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
415C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
416C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
417C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
418C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
419C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
420C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
421C22×C3×ΓL(1,𝔽8)C23×C314yescomplemented
422C2×C3×AGL(1,𝔽7)—24no—
423C2×C3×AGL(1,𝔽7)—24no—
424C2×C3×AGL(1,𝔽7)—24no—
425C2×C3×AGL(1,𝔽7)—24no—
426C2×C3×AGL(1,𝔽7)—24no—
427C2×C3×AGL(1,𝔽7)—24no—
428C2×C3×AGL(1,𝔽7)—24no—
429C2×C3×AGL(1,𝔽7)—24no—
430C2×C3×AGL(1,𝔽7)—24no—
431C2×C3×AGL(1,𝔽7)—24no—
432C2×C3×AGL(1,𝔽7)—24no—
433C2×C3×AGL(1,𝔽7)—24no—
434C2×C3×AGL(1,𝔽7)—216no—
435C2×C3×AGL(1,𝔽7)—216no—
436C2×C3×AGL(1,𝔽7)—216no—
437C2×C3×AGL(1,𝔽7)—216no—
438C2×C3×AGL(1,𝔽7)—216no—
439C2×C3×AGL(1,𝔽7)—216no—
440C2×C3×AGL(1,𝔽7)—216no—
441C2×C3×AGL(1,𝔽7)—216no—
442C2×C3×AGL(1,𝔽7)—216no—
443C2×C3×AGL(1,𝔽7)—216no—
444C2×C3×AGL(1,𝔽7)—216no—
445C2×C3×AGL(1,𝔽7)—216no—
446C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
447C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
448C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
449C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
450C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
451C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
452C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
453C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
454C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
455C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
456C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
457C2×C3×AGL(1,𝔽7)C3×D414yesdirect product factor
458C2×C3×AGL(1,𝔽7)C23×C312yes—
459C2×C3×AGL(1,𝔽7)C23×C312yes—
460C2×C3×AGL(1,𝔽7)C23×C312yes—
461C2×C3×AGL(1,𝔽7)C23×C312yes—
462C2×C3×AGL(1,𝔽7)C23×C312yes—
463C2×C3×AGL(1,𝔽7)C23×C312yes—
464C2×C3×AGL(1,𝔽7)C23×C312yes—
465C2×C3×AGL(1,𝔽7)C23×C312yes—
466C2×C3×AGL(1,𝔽7)C23×C312yes—
467C2×C3×AGL(1,𝔽7)C23×C312yes—
468C2×C3×AGL(1,𝔽7)C23×C312yes—
469C2×C3×AGL(1,𝔽7)C23×C312yes—
470C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
471C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
472C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
473C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
474C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
475C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
476C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
477C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
478C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
479C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
480C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
481C2×C3×AGL(1,𝔽7)C23×C314yescomplemented
482C32×C4×C7C23×C312yescomplemented
483C32×Dic7C23×C312yescomplemented
484C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
485C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
486C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
487C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
488C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
489C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
490C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
491C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
492C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
493C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
494C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
495C3×C4×ΓL(1,𝔽8)C23×C312yescomplemented
496C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
497C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
498C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
499C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
500C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
501C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
502C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
503C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
504C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
505C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
506C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
507C3×ΓL(1,𝔽8)⋊C4C23×C312yescomplemented
508C2×D4×D7C3311yescharacteristic, complemented, Hall
509C23×C33—71no—
510C23×C33—78no—
511C23×C33—72no—
512C23×C33—148no—
513C23×C33—142no—
514C33×D4—78no—
515C33×D4—74no—
516C33×D4—144no—
517C2×C33×C4—71no—
518C2×C33×C4—74no—
519C2×C33×C4—141no—
520C32×ΓL(1,𝔽8)C22×D411yescharacteristic, complemented, Hall
521C23×C3×C7C22×C3212yescomplemented
522C23×C3×C7C22×C3212yescomplemented
523C23×C3×C7C22×C3212yescomplemented
524C23×C3×C7C22×C3212yescomplemented
525C22×C3×D7—28no—
526C22×C3×D7—28no—
527C22×C3×D7—28no—
528C22×C3×D7—28no—
529C22×C3×D7C22×C3211yescharacteristic
530C22×C3×D7C22×C3211yescharacteristic
531C22×C3×D7C22×C3211yescharacteristic
532C22×C3×D7C22×C3211yescharacteristic
533C22×C3×D7C22×C3218yescomplemented
534C22×C3×D7C22×C3218yescomplemented
535C22×C3×D7C22×C3218yescomplemented
536C22×C3×D7C22×C3218yescomplemented
537C22×C3×D7C22×C3212yescomplemented
538C22×C3×D7C22×C3212yescomplemented
539C22×C3×D7C22×C3212yescomplemented
540C22×C3×D7C22×C3212yescomplemented
541C23×ΓL(1,𝔽8)C22×C3212yescomplemented
542C23×ΓL(1,𝔽8)C22×C3212yescomplemented
543C23×ΓL(1,𝔽8)C22×C3212yescomplemented
544C23×ΓL(1,𝔽8)C22×C3212yescomplemented
545C23×ΓL(1,𝔽8)C22×C3212yescomplemented
546C23×ΓL(1,𝔽8)C22×C3212yescomplemented
547C23×ΓL(1,𝔽8)C22×C3212yescomplemented
548C23×ΓL(1,𝔽8)C22×C3212yescomplemented
549C23×ΓL(1,𝔽8)C22×C3212yescomplemented
550C22×AGL(1,𝔽7)—28no—
551C22×AGL(1,𝔽7)—28no—
552C22×AGL(1,𝔽7)—28no—
553C22×AGL(1,𝔽7)—28no—
554C22×AGL(1,𝔽7)—28no—
555C22×AGL(1,𝔽7)—28no—
556C22×AGL(1,𝔽7)—28no—
557C22×AGL(1,𝔽7)—28no—
558C22×AGL(1,𝔽7)—28no—
559C22×AGL(1,𝔽7)C22×C3211yescharacteristic
560C22×AGL(1,𝔽7)C22×C3211yescharacteristic
561C22×AGL(1,𝔽7)C22×C3211yescharacteristic
562C22×AGL(1,𝔽7)C22×C3211yescharacteristic
563C22×AGL(1,𝔽7)C22×C3211yescharacteristic
564C22×AGL(1,𝔽7)C22×C3211yescharacteristic
565C22×AGL(1,𝔽7)C22×C3211yescharacteristic
566C22×AGL(1,𝔽7)C22×C3211yescharacteristic
567C22×AGL(1,𝔽7)C22×C3211yescharacteristic
568C22×AGL(1,𝔽7)C22×C3218yescomplemented
569C22×AGL(1,𝔽7)C22×C3218yescomplemented
570C22×AGL(1,𝔽7)C22×C3218yescomplemented
571C22×AGL(1,𝔽7)C22×C3218yescomplemented
572C22×AGL(1,𝔽7)C22×C3218yescomplemented
573C22×AGL(1,𝔽7)C22×C3218yescomplemented
574C22×AGL(1,𝔽7)C22×C3218yescomplemented
575C22×AGL(1,𝔽7)C22×C3218yescomplemented
576C22×AGL(1,𝔽7)C22×C3218yescomplemented
577C22×AGL(1,𝔽7)C22×C3212yescomplemented
578C22×AGL(1,𝔽7)C22×C3212yescomplemented
579C22×AGL(1,𝔽7)C22×C3212yescomplemented
580C22×AGL(1,𝔽7)C22×C3212yescomplemented
581C22×AGL(1,𝔽7)C22×C3212yescomplemented
582C22×AGL(1,𝔽7)C22×C3212yescomplemented
583C22×AGL(1,𝔽7)C22×C3212yescomplemented
584C22×AGL(1,𝔽7)C22×C3212yescomplemented
585C22×AGL(1,𝔽7)C22×C3212yescomplemented
586C3×C7×D4C22×C3214yescomplemented
587C3×C7×D4C22×C3214yescomplemented
588C3×C7×D4C22×C3214yescomplemented
589C3×C7×D4C22×C3214yescomplemented
590C2×C3×C4×C7C22×C3211yescharacteristic, complemented
591C2×C3×C4×C7C22×C3211yescharacteristic, complemented
592C2×C3×C4×C7C22×C3211yescharacteristic, complemented
593C2×C3×C4×C7C22×C3211yescharacteristic, complemented
594C3×C22⋊D7C22×C3218yescomplemented
595C3×C22⋊D7C22×C3218yescomplemented
596C3×C22⋊D7C22×C3218yescomplemented
597C3×C22⋊D7C22×C3218yescomplemented
598C2×C3×Dic7C22×C3211yescharacteristic, complemented
599C2×C3×Dic7C22×C3211yescharacteristic, complemented
600C2×C3×Dic7C22×C3211yescharacteristic, complemented
601C2×C3×Dic7C22×C3211yescharacteristic, complemented
602C3×D28C22×C3214yescomplemented
603C3×D28C22×C3214yescomplemented
604C3×D28C22×C3214yescomplemented
605C3×D28C22×C3214yescomplemented
606C3×C4×D7C22×C3214yescomplemented
607C3×C4×D7C22×C3214yescomplemented
608C3×C4×D7C22×C3214yescomplemented
609C3×C4×D7C22×C3214yescomplemented
610D4×ΓL(1,𝔽8)C22×C3214yescomplemented
611D4×ΓL(1,𝔽8)C22×C3214yescomplemented
612D4×ΓL(1,𝔽8)C22×C3214yescomplemented
613D4×ΓL(1,𝔽8)C22×C3214yescomplemented
614D4×ΓL(1,𝔽8)C22×C3214yescomplemented
615D4×ΓL(1,𝔽8)C22×C3214yescomplemented
616D4×ΓL(1,𝔽8)C22×C3214yescomplemented
617D4×ΓL(1,𝔽8)C22×C3214yescomplemented
618D4×ΓL(1,𝔽8)C22×C3214yescomplemented
619C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
620C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
621C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
622C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
623C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
624C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
625C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
626C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
627C2×C4×ΓL(1,𝔽8)C22×C3211yescharacteristic, complemented
628(C22⋊D7)⋊C3C22×C3218yescomplemented
629(C22⋊D7)⋊C3C22×C3218yescomplemented
630(C22⋊D7)⋊C3C22×C3218yescomplemented
631(C22⋊D7)⋊C3C22×C3218yescomplemented
632(C22⋊D7)⋊C3C22×C3218yescomplemented
633(C22⋊D7)⋊C3C22×C3218yescomplemented
634(C22⋊D7)⋊C3C22×C3218yescomplemented
635(C22⋊D7)⋊C3C22×C3218yescomplemented
636(C22⋊D7)⋊C3C22×C3218yescomplemented
637C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
638C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
639C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
640C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
641C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
642C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
643C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
644C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
645C2×ΓL(1,𝔽8)⋊C4C22×C3211yescharacteristic, complemented
646C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
647C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
648C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
649C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
650C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
651C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
652C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
653C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
654C4⋊AGL(1,𝔽7)C22×C3214yescomplemented
655C4×AGL(1,𝔽7)C22×C3214yescomplemented
656C4×AGL(1,𝔽7)C22×C3214yescomplemented
657C4×AGL(1,𝔽7)C22×C3214yescomplemented
658C4×AGL(1,𝔽7)C22×C3214yescomplemented
659C4×AGL(1,𝔽7)C22×C3214yescomplemented
660C4×AGL(1,𝔽7)C22×C3214yescomplemented
661C4×AGL(1,𝔽7)C22×C3214yescomplemented
662C4×AGL(1,𝔽7)C22×C3214yescomplemented
663C4×AGL(1,𝔽7)C22×C3214yescomplemented
664C24×C32—72no—
665C24×C32—72no—
666C24×C32—72no—
667C24×C32—72no—
668C24×C32—72no—
669C24×C32—72no—
670C24×C32—72no—
671C24×C32—72no—
672C24×C32—72no—
673C24×C32—72no—
674C24×C32—72no—
675C24×C32—72no—
676C24×C32—72no—
677C2×C32×D4—71no—
678C2×C32×D4—71no—
679C2×C32×D4—71no—
680C2×C32×D4—71no—
681C2×C32×D4—78no—
682C2×C32×D4—78no—
683C2×C32×D4—78no—
684C2×C32×D4—78no—
685C2×C32×D4—72no—
686C2×C32×D4—72no—
687C2×C32×D4—72no—
688C2×C32×D4—72no—
689C2×C32×D4—71no—
690C2×C32×D4—71no—
691C2×C32×D4—71no—
692C2×C32×D4—71no—
693C2×C32×D4—72no—
694C2×C32×D4—72no—
695C2×C32×D4—72no—
696C2×C32×D4—72no—
697C2×C32×D4—72no—
698C2×C32×D4—72no—
699C2×C32×D4—72no—
700C2×C32×D4—72no—
701C2×C32×D4—72no—
702C2×C32×D4—78no—
703C2×C32×D4—78no—
704C2×C32×D4—78no—
705C2×C32×D4—78no—
706C2×C32×D4—78no—
707C2×C32×D4—78no—
708C2×C32×D4—78no—
709C2×C32×D4—78no—
710C2×C32×D4—78no—
711C2×C32×D4—71no—
712C2×C32×D4—71no—
713C2×C32×D4—71no—
714C2×C32×D4—71no—
715C2×C32×D4—71no—
716C2×C32×D4—71no—
717C2×C32×D4—71no—
718C2×C32×D4—71no—
719C2×C32×D4—71no—
720C2×C32×D4—141no—
721C2×C32×D4—141no—
722C2×C32×D4—141no—
723C2×C32×D4—141no—
724C2×C32×D4—141no—
725C2×C32×D4—141no—
726C2×C32×D4—141no—
727C2×C32×D4—141no—
728C2×C32×D4AGL(1,𝔽7)11yescharacteristic, direct product factor
729C22×C32×C4—71no—
730C22×C32×C4—71no—
731C22×C32×C4—71no—
732C22×C32×C4—71no—
733C22×C32×C4—71no—
734C22×C32×C4—71no—
735C22×C32×C4—71no—
736C22×C32×C4—71no—
737C22×C32×C4—71no—
738C22×C32×C4—71no—
739C22×C32×C4—71no—
740C22×C32×C4—71no—
741C22×C32×C4—71no—
742C2×C32×C7—24no—
743C2×C32×C7C2×C3×D412yescomplemented
744C2×C32×C7C24×C311yescharacteristic
745C32×D7—24no—
746C32×D7C2×C3×D414yescomplemented
747C2×C3×ΓL(1,𝔽8)—24no—
748C2×C3×ΓL(1,𝔽8)—24no—
749C2×C3×ΓL(1,𝔽8)—24no—
750C2×C3×ΓL(1,𝔽8)—24no—
751C2×C3×ΓL(1,𝔽8)—24no—
752C2×C3×ΓL(1,𝔽8)—24no—
753C2×C3×ΓL(1,𝔽8)—24no—
754C2×C3×ΓL(1,𝔽8)—24no—
755C2×C3×ΓL(1,𝔽8)—24no—
756C2×C3×ΓL(1,𝔽8)—24no—
757C2×C3×ΓL(1,𝔽8)—24no—
758C2×C3×ΓL(1,𝔽8)—24no—
759C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
760C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
761C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
762C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
763C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
764C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
765C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
766C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
767C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
768C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
769C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
770C2×C3×ΓL(1,𝔽8)C2×C3×D412yescomplemented
771C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
772C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
773C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
774C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
775C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
776C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
777C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
778C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
779C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
780C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
781C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
782C2×C3×ΓL(1,𝔽8)C24×C311yescharacteristic
783C3×AGL(1,𝔽7)—24no—
784C3×AGL(1,𝔽7)—24no—
785C3×AGL(1,𝔽7)—24no—
786C3×AGL(1,𝔽7)—24no—
787C3×AGL(1,𝔽7)—24no—
788C3×AGL(1,𝔽7)—24no—
789C3×AGL(1,𝔽7)—24no—
790C3×AGL(1,𝔽7)—24no—
791C3×AGL(1,𝔽7)—24no—
792C3×AGL(1,𝔽7)—24no—
793C3×AGL(1,𝔽7)—24no—
794C3×AGL(1,𝔽7)—24no—
795C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
796C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
797C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
798C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
799C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
800C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
801C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
802C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
803C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
804C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
805C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
806C3×AGL(1,𝔽7)C2×C3×D414yesdirect product factor
807C23×D7C2×C3312yescomplemented
808C2×C7×D4C2×C3311yescharacteristic, complemented
809C2×C22⋊D7C2×C3312yescomplemented
810D4×D7C2×C3318yescomplemented
811C2×D28C2×C3311yescharacteristic, complemented
812C2×C4×D7C2×C3311yescharacteristic, complemented
813C22×C33—72no—
814C22×C33—74no—
815C22×C33—74no—
816C22×C33—1416no—
817C22×C33—141no—
818C22×C33—144no—
819C22×C33—144no—
820C22×C33—284no—
821C33×C4—72no—
822C33×C4—142no—
823C22×C3×D4—71no—
824C22×C3×D4—71no—
825C22×C3×D4—71no—
826C22×C3×D4—71no—
827C22×C3×D4—71no—
828C22×C3×D4—71no—
829C22×C3×D4—71no—
830C22×C3×D4—71no—
831C22×C3×D4—71no—
832C22×C3×D4—71no—
833C22×C3×D4—71no—
834C22×C3×D4—71no—
835C22×C3×D4—71no—
836C22×C3×C7—24no—
837C22×C3×C7—24no—
838C22×C3×C7—24no—
839C22×C3×C7—24no—
840C22×C3×C7C23×C3211yescharacteristic
841C22×C3×C7C23×C3211yescharacteristic
842C22×C3×C7C23×C3211yescharacteristic
843C22×C3×C7C23×C3211yescharacteristic
844C22×C3×C7C23×C3214yescomplemented
845C22×C3×C7C23×C3214yescomplemented
846C22×C3×C7C23×C3214yescomplemented
847C22×C3×C7C23×C3214yescomplemented
848C2×C3×D7—24no—
849C2×C3×D7—24no—
850C2×C3×D7—24no—
851C2×C3×D7—24no—
852C2×C3×D7—216no—
853C2×C3×D7—216no—
854C2×C3×D7—216no—
855C2×C3×D7—216no—
856C2×C3×D7C32×D414yescomplemented
857C2×C3×D7C32×D414yescomplemented
858C2×C3×D7C32×D414yescomplemented
859C2×C3×D7C32×D414yescomplemented
860C2×C3×D7C23×C3212yes—
861C2×C3×D7C23×C3212yes—
862C2×C3×D7C23×C3212yes—
863C2×C3×D7C23×C3212yes—
864C2×C3×D7C23×C3214yescomplemented
865C2×C3×D7C23×C3214yescomplemented
866C2×C3×D7C23×C3214yescomplemented
867C2×C3×D7C23×C3214yescomplemented
868C22×ΓL(1,𝔽8)—24no—
869C22×ΓL(1,𝔽8)—24no—
870C22×ΓL(1,𝔽8)—24no—
871C22×ΓL(1,𝔽8)—24no—
872C22×ΓL(1,𝔽8)—24no—
873C22×ΓL(1,𝔽8)—24no—
874C22×ΓL(1,𝔽8)—24no—
875C22×ΓL(1,𝔽8)—24no—
876C22×ΓL(1,𝔽8)—24no—
877C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
878C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
879C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
880C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
881C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
882C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
883C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
884C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
885C22×ΓL(1,𝔽8)C23×C3211yescharacteristic
886C22×ΓL(1,𝔽8)C23×C3214yescomplemented
887C22×ΓL(1,𝔽8)C23×C3214yescomplemented
888C22×ΓL(1,𝔽8)C23×C3214yescomplemented
889C22×ΓL(1,𝔽8)C23×C3214yescomplemented
890C22×ΓL(1,𝔽8)C23×C3214yescomplemented
891C22×ΓL(1,𝔽8)C23×C3214yescomplemented
892C22×ΓL(1,𝔽8)C23×C3214yescomplemented
893C22×ΓL(1,𝔽8)C23×C3214yescomplemented
894C22×ΓL(1,𝔽8)C23×C3214yescomplemented
895C2×AGL(1,𝔽7)—24no—
896C2×AGL(1,𝔽7)—24no—
897C2×AGL(1,𝔽7)—24no—
898C2×AGL(1,𝔽7)—24no—
899C2×AGL(1,𝔽7)—24no—
900C2×AGL(1,𝔽7)—24no—
901C2×AGL(1,𝔽7)—24no—
902C2×AGL(1,𝔽7)—24no—
903C2×AGL(1,𝔽7)—24no—
904C2×AGL(1,𝔽7)—216no—
905C2×AGL(1,𝔽7)—216no—
906C2×AGL(1,𝔽7)—216no—
907C2×AGL(1,𝔽7)—216no—
908C2×AGL(1,𝔽7)—216no—
909C2×AGL(1,𝔽7)—216no—
910C2×AGL(1,𝔽7)—216no—
911C2×AGL(1,𝔽7)—216no—
912C2×AGL(1,𝔽7)—216no—
913C2×AGL(1,𝔽7)C32×D414yesdirect product factor
914C2×AGL(1,𝔽7)C32×D414yesdirect product factor
915C2×AGL(1,𝔽7)C32×D414yesdirect product factor
916C2×AGL(1,𝔽7)C32×D414yesdirect product factor
917C2×AGL(1,𝔽7)C32×D414yesdirect product factor
918C2×AGL(1,𝔽7)C32×D414yesdirect product factor
919C2×AGL(1,𝔽7)C32×D414yesdirect product factor
920C2×AGL(1,𝔽7)C32×D414yesdirect product factor
921C2×AGL(1,𝔽7)C32×D414yesdirect product factor
922C2×AGL(1,𝔽7)C23×C3212yes—
923C2×AGL(1,𝔽7)C23×C3212yes—
924C2×AGL(1,𝔽7)C23×C3212yes—
925C2×AGL(1,𝔽7)C23×C3212yes—
926C2×AGL(1,𝔽7)C23×C3212yes—
927C2×AGL(1,𝔽7)C23×C3212yes—
928C2×AGL(1,𝔽7)C23×C3212yes—
929C2×AGL(1,𝔽7)C23×C3212yes—
930C2×AGL(1,𝔽7)C23×C3212yes—
931C2×AGL(1,𝔽7)C23×C3214yescomplemented
932C2×AGL(1,𝔽7)C23×C3214yescomplemented
933C2×AGL(1,𝔽7)C23×C3214yescomplemented
934C2×AGL(1,𝔽7)C23×C3214yescomplemented
935C2×AGL(1,𝔽7)C23×C3214yescomplemented
936C2×AGL(1,𝔽7)C23×C3214yescomplemented
937C2×AGL(1,𝔽7)C23×C3214yescomplemented
938C2×AGL(1,𝔽7)C23×C3214yescomplemented
939C2×AGL(1,𝔽7)C23×C3214yescomplemented
940C3×C4×C7C23×C3212yescomplemented
941C3×C4×C7C23×C3212yescomplemented
942C3×C4×C7C23×C3212yescomplemented
943C3×C4×C7C23×C3212yescomplemented
944C3×Dic7C23×C3212yescomplemented
945C3×Dic7C23×C3212yescomplemented
946C3×Dic7C23×C3212yescomplemented
947C3×Dic7C23×C3212yescomplemented
948C4×ΓL(1,𝔽8)C23×C3212yescomplemented
949C4×ΓL(1,𝔽8)C23×C3212yescomplemented
950C4×ΓL(1,𝔽8)C23×C3212yescomplemented
951C4×ΓL(1,𝔽8)C23×C3212yescomplemented
952C4×ΓL(1,𝔽8)C23×C3212yescomplemented
953C4×ΓL(1,𝔽8)C23×C3212yescomplemented
954C4×ΓL(1,𝔽8)C23×C3212yescomplemented
955C4×ΓL(1,𝔽8)C23×C3212yescomplemented
956C4×ΓL(1,𝔽8)C23×C3212yescomplemented
957ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
958ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
959ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
960ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
961ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
962ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
963ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
964ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
965ΓL(1,𝔽8)⋊C4C23×C3212yescomplemented
966C23×C32—71no—
967C23×C32—71no—
968C23×C32—71no—
969C23×C32—71no—
970C23×C32—71no—
971C23×C32—71no—
972C23×C32—71no—
973C23×C32—71no—
974C23×C32—71no—
975C23×C32—71no—
976C23×C32—71no—
977C23×C32—71no—
978C23×C32—71no—
979C23×C32—72no—
980C23×C32—72no—
981C23×C32—78no—
982C23×C32—78no—
983C23×C32—72no—
984C23×C32—72no—
985C23×C32—78no—
986C23×C32—78no—
987C23×C32—72no—
988C23×C32—72no—
989C23×C32—78no—
990C23×C32—78no—
991C23×C32—72no—
992C23×C32—72no—
993C23×C32—72no—
994C23×C32—72no—
995C23×C32—72no—
996C23×C32—72no—
997C23×C32—78no—
998C23×C32—78no—
999C23×C32—78no—
1000C23×C32—78no—
1001C23×C32—78no—
1002C23×C32—78no—
1003C23×C32—72no—
1004C23×C32—78no—
1005C23×C32—72no—
1006C23×C32—72no—
1007C23×C32—72no—
1008C23×C32—72no—
1009C23×C32—142no—
1010C23×C32—142no—
1011C23×C32—148no—
1012C23×C32—148no—
1013C23×C32—148no—
1014C23×C32—148no—
1015C23×C32—148no—
1016C23×C32—148no—
1017C23×C32—148no—
1018C23×C32—148no—
1019C23×C32—148no—
1020C23×C32—148no—
1021C23×C32—148no—
1022C23×C32—148no—
1023C23×C32—148no—
1024C23×C32—142no—
1025C23×C32—142no—
1026C23×C32—142no—
1027C23×C32—142no—
1028C23×C32—142no—
1029C23×C32—142no—
1030C23×C32C2×AGL(1,𝔽7)12yescomplemented
1031C32×D4—74no—
1032C32×D4—74no—
1033C32×D4—74no—
1034C32×D4—74no—
1035C32×D4—78no—
1036C32×D4—78no—
1037C32×D4—78no—
1038C32×D4—78no—
1039C32×D4—78no—
1040C32×D4—78no—
1041C32×D4—78no—
1042C32×D4—78no—
1043C32×D4—78no—
1044C32×D4—78no—
1045C32×D4—78no—
1046C32×D4—78no—
1047C32×D4—78no—
1048C32×D4—74no—
1049C32×D4—74no—
1050C32×D4—74no—
1051C32×D4—74no—
1052C32×D4—74no—
1053C32×D4—74no—
1054C32×D4—74no—
1055C32×D4—74no—
1056C32×D4—74no—
1057C32×D4—74no—
1058C32×D4—74no—
1059C32×D4—74no—
1060C32×D4—74no—
1061C32×D4—144no—
1062C32×D4—144no—
1063C32×D4—144no—
1064C32×D4—144no—
1065C32×D4—144no—
1066C32×D4—144no—
1067C32×D4—144no—
1068C32×D4—144no—
1069C32×D4C2×AGL(1,𝔽7)14yesdirect product factor
1070C2×C32×C4—74no—
1071C2×C32×C4—74no—
1072C2×C32×C4—74no—
1073C2×C32×C4—74no—
1074C2×C32×C4—71no—
1075C2×C32×C4—71no—
1076C2×C32×C4—71no—
1077C2×C32×C4—71no—
1078C2×C32×C4—71no—
1079C2×C32×C4—71no—
1080C2×C32×C4—71no—
1081C2×C32×C4—71no—
1082C2×C32×C4—71no—
1083C2×C32×C4—71no—
1084C2×C32×C4—71no—
1085C2×C32×C4—71no—
1086C2×C32×C4—71no—
1087C2×C32×C4—74no—
1088C2×C32×C4—74no—
1089C2×C32×C4—74no—
1090C2×C32×C4—74no—
1091C2×C32×C4—74no—
1092C2×C32×C4—74no—
1093C2×C32×C4—74no—
1094C2×C32×C4—74no—
1095C2×C32×C4—74no—
1096C2×C32×C4—71no—
1097C2×C32×C4—71no—
1098C2×C32×C4—71no—
1099C2×C32×C4—71no—
1100C2×C32×C4—141no—
1101C2×C32×C4—141no—
1102C2×C32×C4—141no—
1103C2×C32×C4—141no—
1104C2×C32×C4—141no—
1105C2×C32×C4—141no—
1106C2×C32×C4—141no—
1107C2×C32×C4—141no—
1108C2×C32×C4C2×AGL(1,𝔽7)11yescharacteristic, complemented
1109C32×C7C22×C3×D411yescharacteristic, complemented
1110C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1111C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1112C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1113C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1114C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1115C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1116C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1117C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1118C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1119C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1120C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1121C3×ΓL(1,𝔽8)C22×C3×D411yescharacteristic, complemented
1122C23×C7C22×C3312yescomplemented
1123C22×D7—28no—
1124C22×D7C22×C3311yescharacteristic
1125C22×D7C22×C3318yescomplemented
1126C22×D7C22×C3312yescomplemented
1127C7×D4C22×C3314yescomplemented
1128C2×C4×C7C22×C3311yescharacteristic, complemented
1129C22⋊D7C22×C3318yescomplemented
1130C2×Dic7C22×C3311yescharacteristic, complemented
1131D28C22×C3314yescomplemented
1132C4×D7C22×C3314yescomplemented
1133C2×C33—74no—
1134C2×C33—142no—
1135C2×C33—141no—
1136C2×C33—144no—
1137C2×C33—284no—
1138C24×C3—72no—
1139C24×C3—72no—
1140C24×C3—72no—
1141C24×C3—72no—
1142C24×C3—72no—
1143C24×C3—72no—
1144C24×C3—72no—
1145C24×C3—72no—
1146C24×C3—72no—
1147C24×C3—72no—
1148C24×C3—72no—
1149C24×C3—72no—
1150C24×C3—72no—
1151C2×C3×D4—71no—
1152C2×C3×D4—78no—
1153C2×C3×D4—72no—
1154C2×C3×D4—72no—
1155C2×C3×D4—72no—
1156C2×C3×D4—72no—
1157C2×C3×D4—72no—
1158C2×C3×D4—72no—
1159C2×C3×D4—72no—
1160C2×C3×D4—72no—
1161C2×C3×D4—72no—
1162C2×C3×D4—72no—
1163C2×C3×D4—72no—
1164C2×C3×D4—72no—
1165C2×C3×D4—72no—
1166C2×C3×D4—78no—
1167C2×C3×D4—78no—
1168C2×C3×D4—78no—
1169C2×C3×D4—78no—
1170C2×C3×D4—78no—
1171C2×C3×D4—78no—
1172C2×C3×D4—78no—
1173C2×C3×D4—78no—
1174C2×C3×D4—78no—
1175C2×C3×D4—78no—
1176C2×C3×D4—78no—
1177C2×C3×D4—78no—
1178C2×C3×D4—71no—
1179C2×C3×D4—71no—
1180C2×C3×D4—71no—
1181C2×C3×D4—71no—
1182C2×C3×D4—71no—
1183C2×C3×D4—71no—
1184C2×C3×D4—71no—
1185C2×C3×D4—71no—
1186C2×C3×D4—71no—
1187C2×C3×D4—71no—
1188C2×C3×D4—71no—
1189C2×C3×D4—71no—
1190C2×C3×D4—71no—
1191C2×C3×D4—141no—
1192C2×C3×D4—141no—
1193C2×C3×D4—141no—
1194C2×C3×D4—141no—
1195C2×C3×D4—141no—
1196C2×C3×D4—141no—
1197C2×C3×D4—141no—
1198C2×C3×D4—141no—
1199C2×C3×D4C3×AGL(1,𝔽7)11yescharacteristic, direct product factor
1200C2×C3×D4C3×AGL(1,𝔽7)11yescharacteristic, direct product factor
1201C2×C3×D4C3×AGL(1,𝔽7)11yescharacteristic, direct product factor
1202C2×C3×D4C3×AGL(1,𝔽7)11yescharacteristic, direct product factor
1203C22×C3×C4—71no—
1204C22×C3×C4—71no—
1205C22×C3×C4—71no—
1206C22×C3×C4—71no—
1207C22×C3×C4—71no—
1208C22×C3×C4—71no—
1209C22×C3×C4—71no—
1210C22×C3×C4—71no—
1211C22×C3×C4—71no—
1212C22×C3×C4—71no—
1213C22×C3×C4—71no—
1214C22×C3×C4—71no—
1215C22×C3×C4—71no—
1216C2×C3×C7—24no—
1217C2×C3×C7—24no—
1218C2×C3×C7—24no—
1219C2×C3×C7—24no—
1220C2×C3×C7C2×C32×D412yescomplemented
1221C2×C3×C7C2×C32×D412yescomplemented
1222C2×C3×C7C2×C32×D412yescomplemented
1223C2×C3×C7C2×C32×D412yescomplemented
1224C2×C3×C7C24×C3211yescharacteristic
1225C2×C3×C7C24×C3211yescharacteristic
1226C2×C3×C7C24×C3211yescharacteristic
1227C2×C3×C7C24×C3211yescharacteristic
1228C3×D7—24no—
1229C3×D7—24no—
1230C3×D7—24no—
1231C3×D7—24no—
1232C3×D7C2×C32×D414yescomplemented
1233C3×D7C2×C32×D414yescomplemented
1234C3×D7C2×C32×D414yescomplemented
1235C3×D7C2×C32×D414yescomplemented
1236C2×ΓL(1,𝔽8)—24no—
1237C2×ΓL(1,𝔽8)—24no—
1238C2×ΓL(1,𝔽8)—24no—
1239C2×ΓL(1,𝔽8)—24no—
1240C2×ΓL(1,𝔽8)—24no—
1241C2×ΓL(1,𝔽8)—24no—
1242C2×ΓL(1,𝔽8)—24no—
1243C2×ΓL(1,𝔽8)—24no—
1244C2×ΓL(1,𝔽8)—24no—
1245C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1246C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1247C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1248C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1249C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1250C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1251C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1252C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1253C2×ΓL(1,𝔽8)C2×C32×D412yescomplemented
1254C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1255C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1256C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1257C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1258C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1259C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1260C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1261C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1262C2×ΓL(1,𝔽8)C24×C3211yescharacteristic
1263AGL(1,𝔽7)—24no—
1264AGL(1,𝔽7)—24no—
1265AGL(1,𝔽7)—24no—
1266AGL(1,𝔽7)—24no—
1267AGL(1,𝔽7)—24no—
1268AGL(1,𝔽7)—24no—
1269AGL(1,𝔽7)—24no—
1270AGL(1,𝔽7)—24no—
1271AGL(1,𝔽7)—24no—
1272AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1273AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1274AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1275AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1276AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1277AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1278AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1279AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1280AGL(1,𝔽7)C2×C32×D414yesdirect product factor
1281C22×C32—24no—
1282C22×C32—74no—
1283C22×C32—74no—
1284C22×C32—74no—
1285C22×C32—74no—
1286C22×C32—72no—
1287C22×C32—72no—
1288C22×C32—72no—
1289C22×C32—72no—
1290C22×C32—74no—
1291C22×C32—74no—
1292C22×C32—74no—
1293C22×C32—74no—
1294C22×C32—74no—
1295C22×C32—74no—
1296C22×C32—74no—
1297C22×C32—74no—
1298C22×C32—72no—
1299C22×C32—72no—
1300C22×C32—72no—
1301C22×C32—72no—
1302C22×C32—72no—
1303C22×C32—72no—
1304C22×C32—72no—
1305C22×C32—72no—
1306C22×C32—74no—
1307C22×C32—72no—
1308C22×C32—74no—
1309C22×C32—74no—
1310C22×C32—74no—
1311C22×C32—74no—
1312C22×C32—74no—
1313C22×C32—74no—
1314C22×C32—74no—
1315C22×C32—74no—
1316C22×C32—74no—
1317C22×C32—74no—
1318C22×C32—74no—
1319C22×C32—74no—
1320C22×C32—74no—
1321C22×C32—71no—
1322C22×C32—71no—
1323C22×C32—74no—
1324C22×C32—74no—
1325C22×C32—71no—
1326C22×C32—71no—
1327C22×C32—74no—
1328C22×C32—74no—
1329C22×C32—144no—
1330C22×C32—144no—
1331C22×C32—144no—
1332C22×C32—144no—
1333C22×C32—141no—
1334C22×C32—141no—
1335C22×C32—144no—
1336C22×C32—144no—
1337C22×C32—1416no—
1338C22×C32—1416no—
1339C22×C32—1416no—
1340C22×C32—1416no—
1341C22×C32—1416no—
1342C22×C32—144no—
1343C22×C32—144no—
1344C22×C32—144no—
1345C22×C32—144no—
1346C22×C32—1416no—
1347C22×C32—1416no—
1348C22×C32—1416no—
1349C22×C32—1416no—
1350C22×C32—1416no—
1351C22×C32—1416no—
1352C22×C32—1416no—
1353C22×C32—1416no—
1354C22×C32—144no—
1355C22×C32—144no—
1356C22×C32—144no—
1357C22×C32—144no—
1358C22×C32—144no—
1359C22×C32—144no—
1360C22×C32—144no—
1361C22×C32—144no—
1362C22×C32—144no—
1363C22×C32—141no—
1364C22×C32—141no—
1365C22×C32—141no—
1366C22×C32—141no—
1367C22×C32—141no—
1368C22×C32—141no—
1369C22×C32—144no—
1370C22×C32—144no—
1371C22×C32—144no—
1372C22×C32—144no—
1373C22×C32—144no—
1374C22×C32—144no—
1375C22×C32—284no—
1376C22×C32—284no—
1377C22×C32—284no—
1378C22×C32—284no—
1379C22×C32—284no—
1380C22×C32—284no—
1381C22×C32—284no—
1382C22×C32—284no—
1383C22×C32C22×AGL(1,𝔽7)11yescharacteristic
1384C22×C32C22×AGL(1,𝔽7)14yescomplemented
1385C32×C4—72no—
1386C32×C4—72no—
1387C32×C4—72no—
1388C32×C4—72no—
1389C32×C4—72no—
1390C32×C4—72no—
1391C32×C4—72no—
1392C32×C4—72no—
1393C32×C4—72no—
1394C32×C4—72no—
1395C32×C4—72no—
1396C32×C4—72no—
1397C32×C4—72no—
1398C32×C4—72no—
1399C32×C4—72no—
1400C32×C4—72no—
1401C32×C4—72no—
1402C32×C4—142no—
1403C32×C4—142no—
1404C32×C4—142no—
1405C32×C4—142no—
1406C32×C4—142no—
1407C32×C4—142no—
1408C32×C4—142no—
1409C32×C4—142no—
1410C32×C4C22×AGL(1,𝔽7)12yescomplemented
1411C22×D4—71noSylow
1412C22×C7—24no—
1413C22×C7C23×C3311yescharacteristic
1414C22×C7C23×C3314yescomplemented
1415C2×D7—24no—
1416C2×D7—216no—
1417C2×D7C33×D414yescomplemented
1418C2×D7C23×C3312yes—
1419C2×D7C23×C3314yescomplemented
1420C4×C7C23×C3312yescomplemented
1421Dic7C23×C3312yescomplemented
1422C33—141noSylow
1423C23×C3—71no—
1424C23×C3—71no—
1425C23×C3—71no—
1426C23×C3—71no—
1427C23×C3—71no—
1428C23×C3—71no—
1429C23×C3—71no—
1430C23×C3—71no—
1431C23×C3—71no—
1432C23×C3—71no—
1433C23×C3—71no—
1434C23×C3—71no—
1435C23×C3—71no—
1436C23×C3—72no—
1437C23×C3—78no—
1438C23×C3—72no—
1439C23×C3—72no—
1440C23×C3—72no—
1441C23×C3—72no—
1442C23×C3—72no—
1443C23×C3—72no—
1444C23×C3—72no—
1445C23×C3—72no—
1446C23×C3—78no—
1447C23×C3—78no—
1448C23×C3—78no—
1449C23×C3—78no—
1450C23×C3—78no—
1451C23×C3—78no—
1452C23×C3—78no—
1453C23×C3—78no—
1454C23×C3—72no—
1455C23×C3—72no—
1456C23×C3—72no—
1457C23×C3—72no—
1458C23×C3—78no—
1459C23×C3—78no—
1460C23×C3—78no—
1461C23×C3—78no—
1462C23×C3—72no—
1463C23×C3—148no—
1464C23×C3—148no—
1465C23×C3—148no—
1466C23×C3—148no—
1467C23×C3—148no—
1468C23×C3—148no—
1469C23×C3—148no—
1470C23×C3—148no—
1471C23×C3—148no—
1472C23×C3—148no—
1473C23×C3—148no—
1474C23×C3—148no—
1475C23×C3—148no—
1476C23×C3—142no—
1477C23×C3—142no—
1478C23×C3—142no—
1479C23×C3—142no—
1480C23×C3—142no—
1481C23×C3—142no—
1482C23×C3—142no—
1483C23×C3—142no—
1484C23×C3C2×C3×AGL(1,𝔽7)12yescomplemented
1485C23×C3C2×C3×AGL(1,𝔽7)12yescomplemented
1486C23×C3C2×C3×AGL(1,𝔽7)12yescomplemented
1487C23×C3C2×C3×AGL(1,𝔽7)12yescomplemented
1488C3×D4—74no—
1489C3×D4—78no—
1490C3×D4—78no—
1491C3×D4—78no—
1492C3×D4—78no—
1493C3×D4—78no—
1494C3×D4—78no—
1495C3×D4—78no—
1496C3×D4—78no—
1497C3×D4—78no—
1498C3×D4—78no—
1499C3×D4—78no—
1500C3×D4—78no—
1501C3×D4—78no—
1502C3×D4—74no—
1503C3×D4—74no—
1504C3×D4—74no—
1505C3×D4—74no—
1506C3×D4—74no—
1507C3×D4—74no—
1508C3×D4—74no—
1509C3×D4—74no—
1510C3×D4—74no—
1511C3×D4—74no—
1512C3×D4—74no—
1513C3×D4—74no—
1514C3×D4—74no—
1515C3×D4—144no—
1516C3×D4—144no—
1517C3×D4—144no—
1518C3×D4—144no—
1519C3×D4—144no—
1520C3×D4—144no—
1521C3×D4—144no—
1522C3×D4—144no—
1523C3×D4C2×C3×AGL(1,𝔽7)14yesdirect product factor
1524C3×D4C2×C3×AGL(1,𝔽7)14yesdirect product factor
1525C3×D4C2×C3×AGL(1,𝔽7)14yesdirect product factor
1526C3×D4C2×C3×AGL(1,𝔽7)14yesdirect product factor
1527C2×C3×C4—74no—
1528C2×C3×C4—71no—
1529C2×C3×C4—71no—
1530C2×C3×C4—71no—
1531C2×C3×C4—71no—
1532C2×C3×C4—71no—
1533C2×C3×C4—71no—
1534C2×C3×C4—71no—
1535C2×C3×C4—71no—
1536C2×C3×C4—71no—
1537C2×C3×C4—71no—
1538C2×C3×C4—71no—
1539C2×C3×C4—71no—
1540C2×C3×C4—71no—
1541C2×C3×C4—74no—
1542C2×C3×C4—74no—
1543C2×C3×C4—74no—
1544C2×C3×C4—74no—
1545C2×C3×C4—74no—
1546C2×C3×C4—74no—
1547C2×C3×C4—74no—
1548C2×C3×C4—74no—
1549C2×C3×C4—74no—
1550C2×C3×C4—74no—
1551C2×C3×C4—74no—
1552C2×C3×C4—74no—
1553C2×C3×C4—71no—
1554C2×C3×C4—141no—
1555C2×C3×C4—141no—
1556C2×C3×C4—141no—
1557C2×C3×C4—141no—
1558C2×C3×C4—141no—
1559C2×C3×C4—141no—
1560C2×C3×C4—141no—
1561C2×C3×C4—141no—
1562C2×C3×C4C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
1563C2×C3×C4C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
1564C2×C3×C4C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
1565C2×C3×C4C2×C3×AGL(1,𝔽7)11yescharacteristic, complemented
1566C3×C7C22×C32×D411yescharacteristic, complemented
1567C3×C7C22×C32×D411yescharacteristic, complemented
1568C3×C7C22×C32×D411yescharacteristic, complemented
1569C3×C7C22×C32×D411yescharacteristic, complemented
1570ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1571ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1572ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1573ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1574ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1575ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1576ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1577ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1578ΓL(1,𝔽8)C22×C32×D411yescharacteristic, complemented
1579C2×C32—24no—
1580C2×C32—74no—
1581C2×C32—74no—
1582C2×C32—74no—
1583C2×C32—74no—
1584C2×C32—74no—
1585C2×C32—74no—
1586C2×C32—74no—
1587C2×C32—74no—
1588C2×C32—74no—
1589C2×C32—74no—
1590C2×C32—74no—
1591C2×C32—74no—
1592C2×C32—74no—
1593C2×C32—72no—
1594C2×C32—72no—
1595C2×C32—71no—
1596C2×C32—71no—
1597C2×C32—72no—
1598C2×C32—72no—
1599C2×C32—71no—
1600C2×C32—71no—
1601C2×C32—144no—
1602C2×C32—144no—
1603C2×C32—144no—
1604C2×C32—144no—
1605C2×C32—142no—
1606C2×C32—142no—
1607C2×C32—141no—
1608C2×C32—141no—
1609C2×C32—144no—
1610C2×C32—144no—
1611C2×C32—144no—
1612C2×C32—144no—
1613C2×C32—144no—
1614C2×C32—144no—
1615C2×C32—144no—
1616C2×C32—144no—
1617C2×C32—144no—
1618C2×C32—144no—
1619C2×C32—144no—
1620C2×C32—144no—
1621C2×C32—144no—
1622C2×C32—142no—
1623C2×C32—142no—
1624C2×C32—142no—
1625C2×C32—142no—
1626C2×C32—142no—
1627C2×C32—142no—
1628C2×C32—141no—
1629C2×C32—141no—
1630C2×C32—141no—
1631C2×C32—141no—
1632C2×C32—141no—
1633C2×C32—141no—
1634C2×C32—284no—
1635C2×C32—284no—
1636C2×C32—284no—
1637C2×C32—284no—
1638C2×C32—284no—
1639C2×C32—284no—
1640C2×C32—284no—
1641C2×C32—284no—
1642C2×C32D4×AGL(1,𝔽7)12yesdirect product factor
1643C2×C32C23×AGL(1,𝔽7)11yescharacteristic
1644C24—72no—
1645C2×D4—72no—
1646C2×D4—78no—
1647C2×D4—71no—
1648C2×D4C32×AGL(1,𝔽7)11yescharacteristic, direct product factor
1649C22×C4—71no—
1650C2×C7—24no—
1651C2×C7C2×C33×D412yescomplemented
1652C2×C7C24×C3311yescharacteristic
1653D7—24no—
1654D7C2×C33×D414yescomplemented
1655C22×C3—24no—
1656C22×C3—24no—
1657C22×C3—24no—
1658C22×C3—24no—
1659C22×C3—72no—
1660C22×C3—74no—
1661C22×C3—72no—
1662C22×C3—72no—
1663C22×C3—72no—
1664C22×C3—72no—
1665C22×C3—72no—
1666C22×C3—72no—
1667C22×C3—72no—
1668C22×C3—72no—
1669C22×C3—74no—
1670C22×C3—74no—
1671C22×C3—74no—
1672C22×C3—74no—
1673C22×C3—74no—
1674C22×C3—74no—
1675C22×C3—74no—
1676C22×C3—74no—
1677C22×C3—74no—
1678C22×C3—74no—
1679C22×C3—74no—
1680C22×C3—74no—
1681C22×C3—72no—
1682C22×C3—72no—
1683C22×C3—72no—
1684C22×C3—72no—
1685C22×C3—74no—
1686C22×C3—74no—
1687C22×C3—74no—
1688C22×C3—74no—
1689C22×C3—74no—
1690C22×C3—74no—
1691C22×C3—74no—
1692C22×C3—74no—
1693C22×C3—74no—
1694C22×C3—74no—
1695C22×C3—74no—
1696C22×C3—74no—
1697C22×C3—74no—
1698C22×C3—71no—
1699C22×C3—74no—
1700C22×C3—144no—
1701C22×C3—1416no—
1702C22×C3—1416no—
1703C22×C3—1416no—
1704C22×C3—1416no—
1705C22×C3—1416no—
1706C22×C3—144no—
1707C22×C3—1416no—
1708C22×C3—1416no—
1709C22×C3—1416no—
1710C22×C3—1416no—
1711C22×C3—1416no—
1712C22×C3—1416no—
1713C22×C3—1416no—
1714C22×C3—1416no—
1715C22×C3—144no—
1716C22×C3—144no—
1717C22×C3—144no—
1718C22×C3—144no—
1719C22×C3—144no—
1720C22×C3—144no—
1721C22×C3—144no—
1722C22×C3—144no—
1723C22×C3—144no—
1724C22×C3—144no—
1725C22×C3—144no—
1726C22×C3—144no—
1727C22×C3—141no—
1728C22×C3—141no—
1729C22×C3—141no—
1730C22×C3—141no—
1731C22×C3—141no—
1732C22×C3—141no—
1733C22×C3—141no—
1734C22×C3—141no—
1735C22×C3—144no—
1736C22×C3—144no—
1737C22×C3—144no—
1738C22×C3—144no—
1739C22×C3—144no—
1740C22×C3—144no—
1741C22×C3—144no—
1742C22×C3—144no—
1743C22×C3—284no—
1744C22×C3—284no—
1745C22×C3—284no—
1746C22×C3—284no—
1747C22×C3—284no—
1748C22×C3—284no—
1749C22×C3—284no—
1750C22×C3—284no—
1751C22×C3C22×C3×AGL(1,𝔽7)11yescharacteristic
1752C22×C3C22×C3×AGL(1,𝔽7)11yescharacteristic
1753C22×C3C22×C3×AGL(1,𝔽7)11yescharacteristic
1754C22×C3C22×C3×AGL(1,𝔽7)11yescharacteristic
1755C22×C3C22×C3×AGL(1,𝔽7)14yescomplemented
1756C22×C3C22×C3×AGL(1,𝔽7)14yescomplemented
1757C22×C3C22×C3×AGL(1,𝔽7)14yescomplemented
1758C22×C3C22×C3×AGL(1,𝔽7)14yescomplemented
1759C3×C4—72no—
1760C3×C4—72no—
1761C3×C4—72no—
1762C3×C4—72no—
1763C3×C4—72no—
1764C3×C4—72no—
1765C3×C4—72no—
1766C3×C4—72no—
1767C3×C4—72no—
1768C3×C4—72no—
1769C3×C4—72no—
1770C3×C4—72no—
1771C3×C4—72no—
1772C3×C4—72no—
1773C3×C4—142no—
1774C3×C4—142no—
1775C3×C4—142no—
1776C3×C4—142no—
1777C3×C4—142no—
1778C3×C4—142no—
1779C3×C4—142no—
1780C3×C4—142no—
1781C3×C4C22×C3×AGL(1,𝔽7)12yescomplemented
1782C3×C4C22×C3×AGL(1,𝔽7)12yescomplemented
1783C3×C4C22×C3×AGL(1,𝔽7)12yescomplemented
1784C3×C4C22×C3×AGL(1,𝔽7)12yescomplemented
1785C32—71no—
1786C32—71no—
1787C32—71no—
1788C32—71no—
1789C32—141no—
1790C32—141no—
1791C32—141no—
1792C32—141no—
1793C32—141no—
1794C32—141no—
1795C32—141no—
1796C32—141no—
1797C32C2×D4×AGL(1,𝔽7)11yescharacteristic, direct product factor
1798C23—71no—
1799C23—72no—
1800C23—78no—
1801C23—148no—
1802C23C2×C32×AGL(1,𝔽7)12yescomplemented
1803D4—78no—
1804D4—74no—
1805D4C2×C32×AGL(1,𝔽7)14yesdirect product factor
1806C2×C4—71no—
1807C2×C4—74no—
1808C2×C4C2×C32×AGL(1,𝔽7)11yescharacteristic, complemented
1809C7C22×C33×D411yescharacteristic, complemented, Sylow
1810C2×C3—24no—
1811C2×C3—24no—
1812C2×C3—24no—
1813C2×C3—24no—
1814C2×C3—74no—
1815C2×C3—74no—
1816C2×C3—74no—
1817C2×C3—74no—
1818C2×C3—74no—
1819C2×C3—74no—
1820C2×C3—74no—
1821C2×C3—74no—
1822C2×C3—74no—
1823C2×C3—74no—
1824C2×C3—74no—
1825C2×C3—74no—
1826C2×C3—74no—
1827C2×C3—72no—
1828C2×C3—71no—
1829C2×C3—144no—
1830C2×C3—144no—
1831C2×C3—144no—
1832C2×C3—144no—
1833C2×C3—144no—
1834C2×C3—144no—
1835C2×C3—144no—
1836C2×C3—144no—
1837C2×C3—144no—
1838C2×C3—144no—
1839C2×C3—144no—
1840C2×C3—144no—
1841C2×C3—144no—
1842C2×C3—144no—
1843C2×C3—142no—
1844C2×C3—142no—
1845C2×C3—142no—
1846C2×C3—142no—
1847C2×C3—142no—
1848C2×C3—142no—
1849C2×C3—142no—
1850C2×C3—142no—
1851C2×C3—141no—
1852C2×C3—141no—
1853C2×C3—141no—
1854C2×C3—141no—
1855C2×C3—141no—
1856C2×C3—141no—
1857C2×C3—141no—
1858C2×C3—141no—
1859C2×C3—284no—
1860C2×C3—284no—
1861C2×C3—284no—
1862C2×C3—284no—
1863C2×C3—284no—
1864C2×C3—284no—
1865C2×C3—284no—
1866C2×C3—284no—
1867C2×C3C3×D4×AGL(1,𝔽7)12yesdirect product factor
1868C2×C3C3×D4×AGL(1,𝔽7)12yesdirect product factor
1869C2×C3C3×D4×AGL(1,𝔽7)12yesdirect product factor
1870C2×C3C3×D4×AGL(1,𝔽7)12yesdirect product factor
1871C2×C3C23×C3×AGL(1,𝔽7)11yescharacteristic
1872C2×C3C23×C3×AGL(1,𝔽7)11yescharacteristic
1873C2×C3C23×C3×AGL(1,𝔽7)11yescharacteristic
1874C2×C3C23×C3×AGL(1,𝔽7)11yescharacteristic
1875C22—24no—
1876C22—74no—
1877C22—72no—
1878C22—74no—
1879C22—1416no—
1880C22—144no—
1881C22C22×C32×AGL(1,𝔽7)11yescharacteristic
1882C22C22×C32×AGL(1,𝔽7)14yescomplemented
1883C4—72no—
1884C4C22×C32×AGL(1,𝔽7)12yescomplemented
1885C3—71no—
1886C3—141no—
1887C3—141no—
1888C3—141no—
1889C3—141no—
1890C3—141no—
1891C3—141no—
1892C3—141no—
1893C3—141no—
1894C3C2×C3×D4×AGL(1,𝔽7)11yescharacteristic, direct product factor
1895C3C2×C3×D4×AGL(1,𝔽7)11yescharacteristic, direct product factor
1896C3C2×C3×D4×AGL(1,𝔽7)11yescharacteristic, direct product factor
1897C3C2×C3×D4×AGL(1,𝔽7)11yescharacteristic, direct product factor
1898C2—24no—
1899C2—74no—
1900C2—144no—
1901C2C32×D4×AGL(1,𝔽7)12yesdirect product factor
1902C2C23×C32×AGL(1,𝔽7)11yescharacteristic
subgroupG/H
centerC22×C32C22×AGL(1,𝔽7)
commutator, cosocleC2×C7C24×C33
FrattiniC2C23×C32×AGL(1,𝔽7)
FittingC2×C32×C7×D4C2×C3
socleC22×C32×C7C23×C3
hypercenterC2×C32×D4AGL(1,𝔽7)
hypocenterC7C22×C33×D4
LCSG ▷ C2×C7 ▷ C7
UCSC1 ◁ C22×C32 ◁ C2×C32×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×(C22⋊D7)⋊C3C2semidirect
2. C23×C32×AGL(1,𝔽7)C2semidirect
3. C2×C32×C4⋊AGL(1,𝔽7)C2semidirect
4. C2×C32×D4×ΓL(1,𝔽8)C2semidirect
5. C32×D4×AGL(1,𝔽7)C2direct (N × H)
6. C2×C32×C4×AGL(1,𝔽7)C2semidirect
7. C2×C32×D4×D7C3semidirect
8. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
9. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
10. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
11. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
12. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
13. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
14. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
15. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
16. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
17. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
18. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
19. C2×C3×D4×AGL(1,𝔽7)C3direct (N × H)
20. C23×C32×ΓL(1,𝔽8)C22semidirect
23. C22×C32×AGL(1,𝔽7)C22semidirect
24. C22×C32×AGL(1,𝔽7)C22semidirect
25. C32×D4×ΓL(1,𝔽8)C22semidirect
26. C2×C32×C4×ΓL(1,𝔽8)C22semidirect
27. C32×(C22⋊D7)⋊C3C22semidirect
28. C2×C32×ΓL(1,𝔽8)⋊C4C22semidirect
29. C32×C4⋊AGL(1,𝔽7)C22semidirect
30. C32×C4×AGL(1,𝔽7)C22semidirect
31. C23×C32×D7C2×C3semidirect
32. C23×C3×AGL(1,𝔽7)C2×C3semidirect
33. C23×C3×AGL(1,𝔽7)C2×C3semidirect
34. C23×C3×AGL(1,𝔽7)C2×C3semidirect
35. C23×C3×AGL(1,𝔽7)C2×C3semidirect
36. C23×C3×AGL(1,𝔽7)C2×C3semidirect
37. C23×C3×AGL(1,𝔽7)C2×C3semidirect
38. C23×C3×AGL(1,𝔽7)C2×C3semidirect
39. C23×C3×AGL(1,𝔽7)C2×C3semidirect
40. C23×C3×AGL(1,𝔽7)C2×C3semidirect
41. C23×C3×AGL(1,𝔽7)C2×C3semidirect
42. C23×C3×AGL(1,𝔽7)C2×C3semidirect
43. C23×C3×AGL(1,𝔽7)C2×C3semidirect
44. C2×C32×C7×D4C2×C3semidirect
45. C2×C32×C22⋊D7C2×C3semidirect
46. C32×D4×D7C2×C3semidirect
47. C2×C32×D28C2×C3semidirect
48. C2×C32×C4×D7C2×C3semidirect
49. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
50. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
51. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
52. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
53. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
54. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
55. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
56. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
57. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
58. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
59. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
60. C2×C3×D4×ΓL(1,𝔽8)C2×C3semidirect
61. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
62. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
63. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
64. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
65. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
66. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
67. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
68. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
69. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
70. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
71. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
72. C2×C3×(C22⋊D7)⋊C3C2×C3semidirect
73. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
74. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
75. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
76. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
77. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
78. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
79. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
80. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
81. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
82. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
83. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
84. C3×D4×AGL(1,𝔽7)C2×C3direct (N × H)
85. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
86. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
87. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
88. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
89. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
90. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
91. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
92. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
93. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
94. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
95. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
96. C2×C3×C4⋊AGL(1,𝔽7)C2×C3semidirect
97. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
98. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
99. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
100. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
101. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
102. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
103. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
104. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
105. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
106. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
107. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
108. C2×C3×C4×AGL(1,𝔽7)C2×C3semidirect
112. C22×C32×ΓL(1,𝔽8)C23semidirect
115. C2×C32×AGL(1,𝔽7)D4direct (N × H)
117. C2×C32×AGL(1,𝔽7)C23semidirect
118. C32×C4×ΓL(1,𝔽8)C23semidirect
119. C32×ΓL(1,𝔽8)⋊C4C23semidirect
120. C2×C3×D4×D7C32semidirect
121. C2×C3×D4×D7C32semidirect
122. C2×C3×D4×D7C32semidirect
123. C2×C3×D4×D7C32semidirect
124. C2×D4×AGL(1,𝔽7)C32direct (N × H)
125. C2×D4×AGL(1,𝔽7)C32direct (N × H)
126. C2×D4×AGL(1,𝔽7)C32direct (N × H)
127. C2×D4×AGL(1,𝔽7)C32direct (N × H)
128. C2×D4×AGL(1,𝔽7)C32direct (N × H)
129. C2×D4×AGL(1,𝔽7)C32direct (N × H)
130. C2×D4×AGL(1,𝔽7)C32direct (N × H)
131. C2×D4×AGL(1,𝔽7)C32direct (N × H)
132. C2×D4×AGL(1,𝔽7)C32direct (N × H)
133. C23×C32×C7C22×C3semidirect
136. C22×C32×D7C22×C3semidirect
137. C22×C32×D7C22×C3semidirect
138. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
139. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
140. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
141. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
142. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
143. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
144. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
145. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
146. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
147. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
148. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
149. C23×C3×ΓL(1,𝔽8)C22×C3semidirect
174. C22×C3×AGL(1,𝔽7)C22×C3semidirect
175. C22×C3×AGL(1,𝔽7)C22×C3semidirect
176. C22×C3×AGL(1,𝔽7)C22×C3semidirect
177. C22×C3×AGL(1,𝔽7)C22×C3semidirect
178. C22×C3×AGL(1,𝔽7)C22×C3semidirect
179. C22×C3×AGL(1,𝔽7)C22×C3semidirect
180. C22×C3×AGL(1,𝔽7)C22×C3semidirect
181. C22×C3×AGL(1,𝔽7)C22×C3semidirect
182. C22×C3×AGL(1,𝔽7)C22×C3semidirect
183. C22×C3×AGL(1,𝔽7)C22×C3semidirect
184. C22×C3×AGL(1,𝔽7)C22×C3semidirect
185. C22×C3×AGL(1,𝔽7)C22×C3semidirect
186. C22×C3×AGL(1,𝔽7)C22×C3semidirect
187. C22×C3×AGL(1,𝔽7)C22×C3semidirect
188. C22×C3×AGL(1,𝔽7)C22×C3semidirect
189. C22×C3×AGL(1,𝔽7)C22×C3semidirect
190. C22×C3×AGL(1,𝔽7)C22×C3semidirect
191. C22×C3×AGL(1,𝔽7)C22×C3semidirect
192. C22×C3×AGL(1,𝔽7)C22×C3semidirect
193. C22×C3×AGL(1,𝔽7)C22×C3semidirect
194. C22×C3×AGL(1,𝔽7)C22×C3semidirect
195. C22×C3×AGL(1,𝔽7)C22×C3semidirect
196. C22×C3×AGL(1,𝔽7)C22×C3semidirect
197. C22×C3×AGL(1,𝔽7)C22×C3semidirect
198. C32×C7×D4C22×C3semidirect
199. C2×C32×C4×C7C22×C3semidirect
200. C32×C22⋊D7C22×C3semidirect
201. C2×C32×Dic7C22×C3semidirect
202. C32×D28C22×C3semidirect
203. C32×C4×D7C22×C3semidirect
204. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
205. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
206. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
207. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
208. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
209. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
210. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
211. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
212. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
213. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
214. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
215. C3×D4×ΓL(1,𝔽8)C22×C3semidirect
216. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
217. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
218. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
219. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
220. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
221. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
222. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
223. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
224. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
225. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
226. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
227. C2×C3×C4×ΓL(1,𝔽8)C22×C3semidirect
228. C3×(C22⋊D7)⋊C3C22×C3semidirect
229. C3×(C22⋊D7)⋊C3C22×C3semidirect
230. C3×(C22⋊D7)⋊C3C22×C3semidirect
231. C3×(C22⋊D7)⋊C3C22×C3semidirect
232. C3×(C22⋊D7)⋊C3C22×C3semidirect
233. C3×(C22⋊D7)⋊C3C22×C3semidirect
234. C3×(C22⋊D7)⋊C3C22×C3semidirect
235. C3×(C22⋊D7)⋊C3C22×C3semidirect
236. C3×(C22⋊D7)⋊C3C22×C3semidirect
237. C3×(C22⋊D7)⋊C3C22×C3semidirect
238. C3×(C22⋊D7)⋊C3C22×C3semidirect
239. C3×(C22⋊D7)⋊C3C22×C3semidirect
240. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
241. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
242. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
243. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
244. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
245. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
246. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
247. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
248. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
249. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
250. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
251. C2×C3×ΓL(1,𝔽8)⋊C4C22×C3semidirect
252. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
253. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
254. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
255. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
256. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
257. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
258. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
259. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
260. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
261. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
262. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
263. C3×C4⋊AGL(1,𝔽7)C22×C3semidirect
264. C3×C4×AGL(1,𝔽7)C22×C3semidirect
265. C3×C4×AGL(1,𝔽7)C22×C3semidirect
266. C3×C4×AGL(1,𝔽7)C22×C3semidirect
267. C3×C4×AGL(1,𝔽7)C22×C3semidirect
268. C3×C4×AGL(1,𝔽7)C22×C3semidirect
269. C3×C4×AGL(1,𝔽7)C22×C3semidirect
270. C3×C4×AGL(1,𝔽7)C22×C3semidirect
271. C3×C4×AGL(1,𝔽7)C22×C3semidirect
272. C3×C4×AGL(1,𝔽7)C22×C3semidirect
273. C3×C4×AGL(1,𝔽7)C22×C3semidirect
274. C3×C4×AGL(1,𝔽7)C22×C3semidirect
275. C3×C4×AGL(1,𝔽7)C22×C3semidirect
283. C2×C32×ΓL(1,𝔽8)C2×D4semidirect
286. C32×AGL(1,𝔽7)C2×D4direct (N × H)
287. C23×C3×D7C2×C32semidirect
288. C23×C3×D7C2×C32semidirect
289. C23×C3×D7C2×C32semidirect
290. C23×C3×D7C2×C32semidirect
291. C23×AGL(1,𝔽7)C2×C32semidirect
292. C23×AGL(1,𝔽7)C2×C32semidirect
293. C23×AGL(1,𝔽7)C2×C32semidirect
294. C23×AGL(1,𝔽7)C2×C32semidirect
295. C23×AGL(1,𝔽7)C2×C32semidirect
296. C23×AGL(1,𝔽7)C2×C32semidirect
297. C23×AGL(1,𝔽7)C2×C32semidirect
298. C23×AGL(1,𝔽7)C2×C32semidirect
299. C23×AGL(1,𝔽7)C2×C32semidirect
300. C2×C3×C7×D4C2×C32semidirect
301. C2×C3×C7×D4C2×C32semidirect
302. C2×C3×C7×D4C2×C32semidirect
303. C2×C3×C7×D4C2×C32semidirect
304. C2×C3×C22⋊D7C2×C32semidirect
305. C2×C3×C22⋊D7C2×C32semidirect
306. C2×C3×C22⋊D7C2×C32semidirect
307. C2×C3×C22⋊D7C2×C32semidirect
308. C3×D4×D7C2×C32semidirect
309. C3×D4×D7C2×C32semidirect
310. C3×D4×D7C2×C32semidirect
311. C3×D4×D7C2×C32semidirect
312. C2×C3×D28C2×C32semidirect
313. C2×C3×D28C2×C32semidirect
314. C2×C3×D28C2×C32semidirect
315. C2×C3×D28C2×C32semidirect
316. C2×C3×C4×D7C2×C32semidirect
317. C2×C3×C4×D7C2×C32semidirect
318. C2×C3×C4×D7C2×C32semidirect
319. C2×C3×C4×D7C2×C32semidirect
320. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
321. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
322. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
323. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
324. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
325. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
326. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
327. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
328. C2×D4×ΓL(1,𝔽8)C2×C32semidirect
329. C2×(C22⋊D7)⋊C3C2×C32semidirect
330. C2×(C22⋊D7)⋊C3C2×C32semidirect
331. C2×(C22⋊D7)⋊C3C2×C32semidirect
332. C2×(C22⋊D7)⋊C3C2×C32semidirect
333. C2×(C22⋊D7)⋊C3C2×C32semidirect
334. C2×(C22⋊D7)⋊C3C2×C32semidirect
335. C2×(C22⋊D7)⋊C3C2×C32semidirect
336. C2×(C22⋊D7)⋊C3C2×C32semidirect
337. C2×(C22⋊D7)⋊C3C2×C32semidirect
338. D4×AGL(1,𝔽7)C2×C32direct (N × H)
339. D4×AGL(1,𝔽7)C2×C32direct (N × H)
340. D4×AGL(1,𝔽7)C2×C32direct (N × H)
341. D4×AGL(1,𝔽7)C2×C32direct (N × H)
342. D4×AGL(1,𝔽7)C2×C32direct (N × H)
343. D4×AGL(1,𝔽7)C2×C32direct (N × H)
344. D4×AGL(1,𝔽7)C2×C32direct (N × H)
345. D4×AGL(1,𝔽7)C2×C32direct (N × H)
346. D4×AGL(1,𝔽7)C2×C32direct (N × H)
347. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
348. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
349. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
350. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
351. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
352. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
353. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
354. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
355. C2×C4⋊AGL(1,𝔽7)C2×C32semidirect
356. C2×C4×AGL(1,𝔽7)C2×C32semidirect
357. C2×C4×AGL(1,𝔽7)C2×C32semidirect
358. C2×C4×AGL(1,𝔽7)C2×C32semidirect
359. C2×C4×AGL(1,𝔽7)C2×C32semidirect
360. C2×C4×AGL(1,𝔽7)C2×C32semidirect
361. C2×C4×AGL(1,𝔽7)C2×C32semidirect
362. C2×C4×AGL(1,𝔽7)C2×C32semidirect
363. C2×C4×AGL(1,𝔽7)C2×C32semidirect
364. C2×C4×AGL(1,𝔽7)C2×C32semidirect
380. C22×C32×C7C23×C3semidirect
383. C2×C32×D7C3×D4semidirect
385. C2×C32×D7C23×C3semidirect
410. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
411. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
412. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
413. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
414. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
415. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
416. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
417. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
418. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
419. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
420. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
421. C22×C3×ΓL(1,𝔽8)C23×C3semidirect
446. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
447. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
448. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
449. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
450. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
451. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
452. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
453. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
454. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
455. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
456. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
457. C2×C3×AGL(1,𝔽7)C3×D4direct (N × H)
470. C2×C3×AGL(1,𝔽7)C23×C3semidirect
471. C2×C3×AGL(1,𝔽7)C23×C3semidirect
472. C2×C3×AGL(1,𝔽7)C23×C3semidirect
473. C2×C3×AGL(1,𝔽7)C23×C3semidirect
474. C2×C3×AGL(1,𝔽7)C23×C3semidirect
475. C2×C3×AGL(1,𝔽7)C23×C3semidirect
476. C2×C3×AGL(1,𝔽7)C23×C3semidirect
477. C2×C3×AGL(1,𝔽7)C23×C3semidirect
478. C2×C3×AGL(1,𝔽7)C23×C3semidirect
479. C2×C3×AGL(1,𝔽7)C23×C3semidirect
480. C2×C3×AGL(1,𝔽7)C23×C3semidirect
481. C2×C3×AGL(1,𝔽7)C23×C3semidirect
482. C32×C4×C7C23×C3semidirect
483. C32×Dic7C23×C3semidirect
484. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
485. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
486. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
487. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
488. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
489. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
490. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
491. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
492. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
493. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
494. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
495. C3×C4×ΓL(1,𝔽8)C23×C3semidirect
496. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
497. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
498. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
499. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
500. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
501. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
502. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
503. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
504. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
505. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
506. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
507. C3×ΓL(1,𝔽8)⋊C4C23×C3semidirect
508. C2×D4×D7C33semidirect
520. C32×ΓL(1,𝔽8)C22×D4semidirect
521. C23×C3×C7C22×C32semidirect
522. C23×C3×C7C22×C32semidirect
523. C23×C3×C7C22×C32semidirect
524. C23×C3×C7C22×C32semidirect
533. C22×C3×D7C22×C32semidirect
534. C22×C3×D7C22×C32semidirect
535. C22×C3×D7C22×C32semidirect
536. C22×C3×D7C22×C32semidirect
537. C22×C3×D7C22×C32semidirect
538. C22×C3×D7C22×C32semidirect
539. C22×C3×D7C22×C32semidirect
540. C22×C3×D7C22×C32semidirect
541. C23×ΓL(1,𝔽8)C22×C32semidirect
542. C23×ΓL(1,𝔽8)C22×C32semidirect
543. C23×ΓL(1,𝔽8)C22×C32semidirect
544. C23×ΓL(1,𝔽8)C22×C32semidirect
545. C23×ΓL(1,𝔽8)C22×C32semidirect
546. C23×ΓL(1,𝔽8)C22×C32semidirect
547. C23×ΓL(1,𝔽8)C22×C32semidirect
548. C23×ΓL(1,𝔽8)C22×C32semidirect
549. C23×ΓL(1,𝔽8)C22×C32semidirect
568. C22×AGL(1,𝔽7)C22×C32semidirect
569. C22×AGL(1,𝔽7)C22×C32semidirect
570. C22×AGL(1,𝔽7)C22×C32semidirect
571. C22×AGL(1,𝔽7)C22×C32semidirect
572. C22×AGL(1,𝔽7)C22×C32semidirect
573. C22×AGL(1,𝔽7)C22×C32semidirect
574. C22×AGL(1,𝔽7)C22×C32semidirect
575. C22×AGL(1,𝔽7)C22×C32semidirect
576. C22×AGL(1,𝔽7)C22×C32semidirect
577. C22×AGL(1,𝔽7)C22×C32semidirect
578. C22×AGL(1,𝔽7)C22×C32semidirect
579. C22×AGL(1,𝔽7)C22×C32semidirect
580. C22×AGL(1,𝔽7)C22×C32semidirect
581. C22×AGL(1,𝔽7)C22×C32semidirect
582. C22×AGL(1,𝔽7)C22×C32semidirect
583. C22×AGL(1,𝔽7)C22×C32semidirect
584. C22×AGL(1,𝔽7)C22×C32semidirect
585. C22×AGL(1,𝔽7)C22×C32semidirect
586. C3×C7×D4C22×C32semidirect
587. C3×C7×D4C22×C32semidirect
588. C3×C7×D4C22×C32semidirect
589. C3×C7×D4C22×C32semidirect
590. C2×C3×C4×C7C22×C32semidirect
591. C2×C3×C4×C7C22×C32semidirect
592. C2×C3×C4×C7C22×C32semidirect
593. C2×C3×C4×C7C22×C32semidirect
594. C3×C22⋊D7C22×C32semidirect
595. C3×C22⋊D7C22×C32semidirect
596. C3×C22⋊D7C22×C32semidirect
597. C3×C22⋊D7C22×C32semidirect
598. C2×C3×Dic7C22×C32semidirect
599. C2×C3×Dic7C22×C32semidirect
600. C2×C3×Dic7C22×C32semidirect
601. C2×C3×Dic7C22×C32semidirect
602. C3×D28C22×C32semidirect
603. C3×D28C22×C32semidirect
604. C3×D28C22×C32semidirect
605. C3×D28C22×C32semidirect
606. C3×C4×D7C22×C32semidirect
607. C3×C4×D7C22×C32semidirect
608. C3×C4×D7C22×C32semidirect
609. C3×C4×D7C22×C32semidirect
610. D4×ΓL(1,𝔽8)C22×C32semidirect
611. D4×ΓL(1,𝔽8)C22×C32semidirect
612. D4×ΓL(1,𝔽8)C22×C32semidirect
613. D4×ΓL(1,𝔽8)C22×C32semidirect
614. D4×ΓL(1,𝔽8)C22×C32semidirect
615. D4×ΓL(1,𝔽8)C22×C32semidirect
616. D4×ΓL(1,𝔽8)C22×C32semidirect
617. D4×ΓL(1,𝔽8)C22×C32semidirect
618. D4×ΓL(1,𝔽8)C22×C32semidirect
619. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
620. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
621. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
622. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
623. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
624. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
625. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
626. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
627. C2×C4×ΓL(1,𝔽8)C22×C32semidirect
628. (C22⋊D7)⋊C3C22×C32semidirect
629. (C22⋊D7)⋊C3C22×C32semidirect
630. (C22⋊D7)⋊C3C22×C32semidirect
631. (C22⋊D7)⋊C3C22×C32semidirect
632. (C22⋊D7)⋊C3C22×C32semidirect
633. (C22⋊D7)⋊C3C22×C32semidirect
634. (C22⋊D7)⋊C3C22×C32semidirect
635. (C22⋊D7)⋊C3C22×C32semidirect
636. (C22⋊D7)⋊C3C22×C32semidirect
637. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
638. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
639. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
640. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
641. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
642. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
643. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
644. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
645. C2×ΓL(1,𝔽8)⋊C4C22×C32semidirect
646. C4⋊AGL(1,𝔽7)C22×C32semidirect
647. C4⋊AGL(1,𝔽7)C22×C32semidirect
648. C4⋊AGL(1,𝔽7)C22×C32semidirect
649. C4⋊AGL(1,𝔽7)C22×C32semidirect
650. C4⋊AGL(1,𝔽7)C22×C32semidirect
651. C4⋊AGL(1,𝔽7)C22×C32semidirect
652. C4⋊AGL(1,𝔽7)C22×C32semidirect
653. C4⋊AGL(1,𝔽7)C22×C32semidirect
654. C4⋊AGL(1,𝔽7)C22×C32semidirect
655. C4×AGL(1,𝔽7)C22×C32semidirect
656. C4×AGL(1,𝔽7)C22×C32semidirect
657. C4×AGL(1,𝔽7)C22×C32semidirect
658. C4×AGL(1,𝔽7)C22×C32semidirect
659. C4×AGL(1,𝔽7)C22×C32semidirect
660. C4×AGL(1,𝔽7)C22×C32semidirect
661. C4×AGL(1,𝔽7)C22×C32semidirect
662. C4×AGL(1,𝔽7)C22×C32semidirect
663. C4×AGL(1,𝔽7)C22×C32semidirect
728. C2×C32×D4AGL(1,𝔽7)direct (N × H)
743. C2×C32×C7C2×C3×D4semidirect
746. C32×D7C2×C3×D4semidirect
759. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
760. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
761. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
762. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
763. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
764. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
765. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
766. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
767. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
768. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
769. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
770. C2×C3×ΓL(1,𝔽8)C2×C3×D4semidirect
795. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
796. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
797. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
798. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
799. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
800. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
801. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
802. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
803. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
804. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
805. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
806. C3×AGL(1,𝔽7)C2×C3×D4direct (N × H)
807. C23×D7C2×C33semidirect
808. C2×C7×D4C2×C33semidirect
809. C2×C22⋊D7C2×C33semidirect
810. D4×D7C2×C33semidirect
811. C2×D28C2×C33semidirect
812. C2×C4×D7C2×C33semidirect
844. C22×C3×C7C23×C32semidirect
845. C22×C3×C7C23×C32semidirect
846. C22×C3×C7C23×C32semidirect
847. C22×C3×C7C23×C32semidirect
856. C2×C3×D7C32×D4semidirect
857. C2×C3×D7C32×D4semidirect
858. C2×C3×D7C32×D4semidirect
859. C2×C3×D7C32×D4semidirect
864. C2×C3×D7C23×C32semidirect
865. C2×C3×D7C23×C32semidirect
866. C2×C3×D7C23×C32semidirect
867. C2×C3×D7C23×C32semidirect
886. C22×ΓL(1,𝔽8)C23×C32semidirect
887. C22×ΓL(1,𝔽8)C23×C32semidirect
888. C22×ΓL(1,𝔽8)C23×C32semidirect
889. C22×ΓL(1,𝔽8)C23×C32semidirect
890. C22×ΓL(1,𝔽8)C23×C32semidirect
891. C22×ΓL(1,𝔽8)C23×C32semidirect
892. C22×ΓL(1,𝔽8)C23×C32semidirect
893. C22×ΓL(1,𝔽8)C23×C32semidirect
894. C22×ΓL(1,𝔽8)C23×C32semidirect
913. C2×AGL(1,𝔽7)C32×D4direct (N × H)
914. C2×AGL(1,𝔽7)C32×D4direct (N × H)
915. C2×AGL(1,𝔽7)C32×D4direct (N × H)
916. C2×AGL(1,𝔽7)C32×D4direct (N × H)
917. C2×AGL(1,𝔽7)C32×D4direct (N × H)
918. C2×AGL(1,𝔽7)C32×D4direct (N × H)
919. C2×AGL(1,𝔽7)C32×D4direct (N × H)
920. C2×AGL(1,𝔽7)C32×D4direct (N × H)
921. C2×AGL(1,𝔽7)C32×D4direct (N × H)
931. C2×AGL(1,𝔽7)C23×C32semidirect
932. C2×AGL(1,𝔽7)C23×C32semidirect
933. C2×AGL(1,𝔽7)C23×C32semidirect
934. C2×AGL(1,𝔽7)C23×C32semidirect
935. C2×AGL(1,𝔽7)C23×C32semidirect
936. C2×AGL(1,𝔽7)C23×C32semidirect
937. C2×AGL(1,𝔽7)C23×C32semidirect
938. C2×AGL(1,𝔽7)C23×C32semidirect
939. C2×AGL(1,𝔽7)C23×C32semidirect
940. C3×C4×C7C23×C32semidirect
941. C3×C4×C7C23×C32semidirect
942. C3×C4×C7C23×C32semidirect
943. C3×C4×C7C23×C32semidirect
944. C3×Dic7C23×C32semidirect
945. C3×Dic7C23×C32semidirect
946. C3×Dic7C23×C32semidirect
947. C3×Dic7C23×C32semidirect
948. C4×ΓL(1,𝔽8)C23×C32semidirect
949. C4×ΓL(1,𝔽8)C23×C32semidirect
950. C4×ΓL(1,𝔽8)C23×C32semidirect
951. C4×ΓL(1,𝔽8)C23×C32semidirect
952. C4×ΓL(1,𝔽8)C23×C32semidirect
953. C4×ΓL(1,𝔽8)C23×C32semidirect
954. C4×ΓL(1,𝔽8)C23×C32semidirect
955. C4×ΓL(1,𝔽8)C23×C32semidirect
956. C4×ΓL(1,𝔽8)C23×C32semidirect
957. ΓL(1,𝔽8)⋊C4C23×C32semidirect
958. ΓL(1,𝔽8)⋊C4C23×C32semidirect
959. ΓL(1,𝔽8)⋊C4C23×C32semidirect
960. ΓL(1,𝔽8)⋊C4C23×C32semidirect
961. ΓL(1,𝔽8)⋊C4C23×C32semidirect
962. ΓL(1,𝔽8)⋊C4C23×C32semidirect
963. ΓL(1,𝔽8)⋊C4C23×C32semidirect
964. ΓL(1,𝔽8)⋊C4C23×C32semidirect
965. ΓL(1,𝔽8)⋊C4C23×C32semidirect
1030. C23×C32C2×AGL(1,𝔽7)semidirect
1069. C32×D4C2×AGL(1,𝔽7)direct (N × H)
1108. C2×C32×C4C2×AGL(1,𝔽7)semidirect
1109. C32×C7C22×C3×D4semidirect
1110. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1111. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1112. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1113. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1114. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1115. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1116. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1117. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1118. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1119. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1120. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1121. C3×ΓL(1,𝔽8)C22×C3×D4semidirect
1122. C23×C7C22×C33semidirect
1125. C22×D7C22×C33semidirect
1126. C22×D7C22×C33semidirect
1127. C7×D4C22×C33semidirect
1128. C2×C4×C7C22×C33semidirect
1129. C22⋊D7C22×C33semidirect
1130. C2×Dic7C22×C33semidirect
1131. D28C22×C33semidirect
1132. C4×D7C22×C33semidirect
1199. C2×C3×D4C3×AGL(1,𝔽7)direct (N × H)
1200. C2×C3×D4C3×AGL(1,𝔽7)direct (N × H)
1201. C2×C3×D4C3×AGL(1,𝔽7)direct (N × H)
1202. C2×C3×D4C3×AGL(1,𝔽7)direct (N × H)
1220. C2×C3×C7C2×C32×D4semidirect
1221. C2×C3×C7C2×C32×D4semidirect
1222. C2×C3×C7C2×C32×D4semidirect
1223. C2×C3×C7C2×C32×D4semidirect
1232. C3×D7C2×C32×D4semidirect
1233. C3×D7C2×C32×D4semidirect
1234. C3×D7C2×C32×D4semidirect
1235. C3×D7C2×C32×D4semidirect
1245. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1246. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1247. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1248. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1249. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1250. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1251. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1252. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1253. C2×ΓL(1,𝔽8)C2×C32×D4semidirect
1272. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1273. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1274. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1275. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1276. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1277. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1278. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1279. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1280. AGL(1,𝔽7)C2×C32×D4direct (N × H)
1384. C22×C32C22×AGL(1,𝔽7)semidirect
1410. C32×C4C22×AGL(1,𝔽7)semidirect
1414. C22×C7C23×C33semidirect
1417. C2×D7C33×D4semidirect
1419. C2×D7C23×C33semidirect
1420. C4×C7C23×C33semidirect
1421. Dic7C23×C33semidirect
1484. C23×C3C2×C3×AGL(1,𝔽7)semidirect
1485. C23×C3C2×C3×AGL(1,𝔽7)semidirect
1486. C23×C3C2×C3×AGL(1,𝔽7)semidirect
1487. C23×C3C2×C3×AGL(1,𝔽7)semidirect
1523. C3×D4C2×C3×AGL(1,𝔽7)direct (N × H)
1524. C3×D4C2×C3×AGL(1,𝔽7)direct (N × H)
1525. C3×D4C2×C3×AGL(1,𝔽7)direct (N × H)
1526. C3×D4C2×C3×AGL(1,𝔽7)direct (N × H)
1562. C2×C3×C4C2×C3×AGL(1,𝔽7)semidirect
1563. C2×C3×C4C2×C3×AGL(1,𝔽7)semidirect
1564. C2×C3×C4C2×C3×AGL(1,𝔽7)semidirect
1565. C2×C3×C4C2×C3×AGL(1,𝔽7)semidirect
1566. C3×C7C22×C32×D4semidirect
1567. C3×C7C22×C32×D4semidirect
1568. C3×C7C22×C32×D4semidirect
1569. C3×C7C22×C32×D4semidirect
1570. ΓL(1,𝔽8)C22×C32×D4semidirect
1571. ΓL(1,𝔽8)C22×C32×D4semidirect
1572. ΓL(1,𝔽8)C22×C32×D4semidirect
1573. ΓL(1,𝔽8)C22×C32×D4semidirect
1574. ΓL(1,𝔽8)C22×C32×D4semidirect
1575. ΓL(1,𝔽8)C22×C32×D4semidirect
1576. ΓL(1,𝔽8)C22×C32×D4semidirect
1577. ΓL(1,𝔽8)C22×C32×D4semidirect
1578. ΓL(1,𝔽8)C22×C32×D4semidirect
1642. C2×C32D4×AGL(1,𝔽7)direct (N × H)
1648. C2×D4C32×AGL(1,𝔽7)direct (N × H)
1651. C2×C7C2×C33×D4semidirect
1654. D7C2×C33×D4semidirect
1755. C22×C3C22×C3×AGL(1,𝔽7)semidirect
1756. C22×C3C22×C3×AGL(1,𝔽7)semidirect
1757. C22×C3C22×C3×AGL(1,𝔽7)semidirect
1758. C22×C3C22×C3×AGL(1,𝔽7)semidirect
1781. C3×C4C22×C3×AGL(1,𝔽7)semidirect
1782. C3×C4C22×C3×AGL(1,𝔽7)semidirect
1783. C3×C4C22×C3×AGL(1,𝔽7)semidirect
1784. C3×C4C22×C3×AGL(1,𝔽7)semidirect
1797. C32C2×D4×AGL(1,𝔽7)direct (N × H)
1802. C23C2×C32×AGL(1,𝔽7)semidirect
1805. D4C2×C32×AGL(1,𝔽7)direct (N × H)
1808. C2×C4C2×C32×AGL(1,𝔽7)semidirect
1809. C7C22×C33×D4semidirect
1867. C2×C3C3×D4×AGL(1,𝔽7)direct (N × H)
1868. C2×C3C3×D4×AGL(1,𝔽7)direct (N × H)
1869. C2×C3C3×D4×AGL(1,𝔽7)direct (N × H)
1870. C2×C3C3×D4×AGL(1,𝔽7)direct (N × H)
1882. C22C22×C32×AGL(1,𝔽7)semidirect
1884. C4C22×C32×AGL(1,𝔽7)semidirect
1894. C3C2×C3×D4×AGL(1,𝔽7)direct (N × H)
1895. C3C2×C3×D4×AGL(1,𝔽7)direct (N × H)
1896. C3C2×C3×D4×AGL(1,𝔽7)direct (N × H)
1897. C3C2×C3×D4×AGL(1,𝔽7)direct (N × H)
1901. C2C32×D4×AGL(1,𝔽7)direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×(C22⋊D7)⋊C32
C23×C32×AGL(1,𝔽7)2
C2×C32×C4⋊AGL(1,𝔽7)2
C2×C32×D4×ΓL(1,𝔽8)2
C32×D4×AGL(1,𝔽7)2
C2×C32×C4×AGL(1,𝔽7)2
C2×C32×D4×D73
C2×C3×D4×AGL(1,𝔽7)3
C22×C33×D47