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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
4
and Q=
C
4
2
⋊C
3
Direct product G=N×Q with N=
C
4
and Q=
C
4
2
⋊C
3
d
ρ
Label
ID
C
4
×C
4
2
⋊C
3
12
3
C4xC4^2:C3
192,188
Non-split extensions G=N.Q with N=
C
4
and Q=
C
4
2
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.
1
(C
4
2
⋊C
3
) =
C
4
2
⋊
4
C
4
⋊C
3
central extension (φ=1)
24
6
C4.1(C4^2:C3)
192,190
C
4
.
2
(C
4
2
⋊C
3
) =
C
2
3
.SL
2
(𝔽
3
)
central stem extension (φ=1)
16
4
C4.2(C4^2:C3)
192,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁