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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
2
2
⋊A
4
Direct product G=N×Q with N=
C
7
and Q=
C
2
2
⋊A
4
d
ρ
Label
ID
C
7
×C
2
2
⋊A
4
84
C7xC2^2:A4
336,223
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
2
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
2
2
⋊A
4
) =
C
7
⋊(C
2
2
⋊A
4
)
φ:
C
2
2
⋊A
4
/
C
2
4
→
C
3
⊆ Aut
C
7
84
C7:(C2^2:A4)
336,224
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