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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
.C
4
2
and Q=
C
3
2
Direct product G=N×Q with N=
C
2
.C
4
2
and Q=
C
3
2
d
ρ
Label
ID
C
3
2
×C
2
.C
4
2
288
C3^2xC2.C4^2
288,313
Semidirect products G=N:Q with N=
C
2
.C
4
2
and Q=
C
3
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
.C
4
2
⋊C
3
2
=
C
3
×C
2
3
.
3
A
4
φ:
C
3
2
/
C
3
→
C
3
⊆ Out
C
2
.C
4
2
36
6
C2.C4^2:C3^2
288,230
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ℤ
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≀
ℚ
◁