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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
2
⋊C
4
and Q=
A
4
Direct product G=N×Q with N=
C
2
2
⋊C
4
and Q=
A
4
d
ρ
Label
ID
A
4
×C
2
2
⋊C
4
24
A4xC2^2:C4
192,994
Non-split extensions G=N.Q with N=
C
2
2
⋊C
4
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
2
⋊C
4
.
1
A
4
=
(C
2
×Q
8
)⋊C
12
φ: trivial image
32
C2^2:C4.1A4
192,998
C
2
2
⋊C
4
.
2
A
4
=
SL
2
(𝔽
3
)⋊
5
D
4
φ: trivial image
32
C2^2:C4.2A4
192,1003
×
⋊
ℤ
𝔽
○
≀
ℚ
◁