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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
and Q=
D
8
Direct product G=N×Q with N=
C
3
and Q=
D
8
d
ρ
Label
ID
C
3
×D
8
24
2
C3xD8
48,25
Semidirect products G=N:Q with N=
C
3
and Q=
D
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
D
8
=
D
24
φ:
D
8
/
C
8
→
C
2
⊆ Aut
C
3
24
2+
C3:1D8
48,7
C
3
⋊
2
D
8
=
D
4
⋊S
3
φ:
D
8
/
D
4
→
C
2
⊆ Aut
C
3
24
4+
C3:2D8
48,15
×
⋊
ℤ
𝔽
○
≀
ℚ
◁