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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
2
2
⋊A
4
and Q=
C
2
Direct product G=N×Q with N=
C
2
2
⋊A
4
and Q=
C
2
d
ρ
Label
ID
C
2
×C
2
2
⋊A
4
12
C2xC2^2:A4
96,229
Semidirect products G=N:Q with N=
C
2
2
⋊A
4
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
2
⋊A
4
⋊
1
C
2
=
C
2
4
⋊C
6
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
2
2
⋊A
4
8
6+
C2^2:A4:1C2
96,70
C
2
2
⋊A
4
⋊
2
C
2
=
C
2
2
⋊S
4
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
2
2
⋊A
4
8
6+
C2^2:A4:2C2
96,227
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