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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
7
and Q=
C
16
⋊C
4
Direct product G=N×Q with N=
C
7
and Q=
C
16
⋊C
4
d
ρ
Label
ID
C
7
×C
16
⋊C
4
112
4
C7xC16:C4
448,151
Semidirect products G=N:Q with N=
C
7
and Q=
C
16
⋊C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
16
⋊C
4
) =
C
28
.
15
C
4
2
φ:
C
16
⋊C
4
/
C
8
⋊C
4
→
C
2
⊆ Aut
C
7
112
4
C7:1(C16:C4)
448,23
C
7
⋊
2
(C
16
⋊C
4
) =
C
112
⋊C
4
φ:
C
16
⋊C
4
/
M
5
(2)
→
C
2
⊆ Aut
C
7
112
4
C7:2(C16:C4)
448,69
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