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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
and Q=
C
2
2
⋊A
4
Direct product G=N×Q with N=
C
2
and Q=
C
2
2
⋊A
4
d
ρ
Label
ID
C
2
×C
2
2
⋊A
4
12
C2xC2^2:A4
96,229
Non-split extensions G=N.Q with N=
C
2
and Q=
C
2
2
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
2
2
⋊A
4
) =
Q
8
⋊A
4
central stem extension (φ=1)
24
6-
C2.1(C2^2:A4)
96,203
C
2
.
2
(C
2
2
⋊A
4
) =
C
2
3
⋊A
4
central stem extension (φ=1)
8
4+
C2.2(C2^2:A4)
96,204
×
⋊
ℤ
𝔽
○
≀
ℚ
◁