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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
×Q
8
and Q=
C
3
2
Direct product G=N×Q with N=
C
2
×Q
8
and Q=
C
3
2
d
ρ
Label
ID
Q
8
×C
3
×C
6
144
Q8xC3xC6
144,180
Semidirect products G=N:Q with N=
C
2
×Q
8
and Q=
C
3
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×Q
8
)⋊C
3
2
=
C
6
×SL
2
(𝔽
3
)
φ:
C
3
2
/
C
3
→
C
3
⊆ Out
C
2
×Q
8
48
(C2xQ8):C3^2
144,156
×
⋊
ℤ
𝔽
○
≀
ℚ
◁