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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
×D
4
and Q=
A
4
Direct product G=N×Q with N=
C
2
×D
4
and Q=
A
4
d
ρ
Label
ID
C
2
×D
4
×A
4
24
C2xD4xA4
192,1497
Non-split extensions G=N.Q with N=
C
2
×D
4
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×D
4
).
1
A
4
=
D
4
×SL
2
(𝔽
3
)
φ: trivial image
32
(C2xD4).1A4
192,1004
(C
2
×D
4
).
2
A
4
=
C
2
×D
4
.A
4
φ: trivial image
32
(C2xD4).2A4
192,1503
×
⋊
ℤ
𝔽
○
≀
ℚ
◁