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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
3
.A
4
and Q=
Q
8
Direct product G=N×Q with N=
C
3
.A
4
and Q=
Q
8
d
ρ
Label
ID
Q
8
×C
3
.A
4
72
6
Q8xC3.A4
288,346
Semidirect products G=N:Q with N=
C
3
.A
4
and Q=
Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
.A
4
⋊Q
8
=
C
12
.
1
S
4
φ:
Q
8
/
C
4
→
C
2
⊆ Out
C
3
.A
4
72
6-
C3.A4:Q8
288,332
×
⋊
ℤ
𝔽
○
≀
ℚ
◁