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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
12
2
Direct product G=N×Q with N=
C
2
and Q=
C
12
2
d
ρ
Label
ID
C
2
×C
12
2
288
C2xC12^2
288,811
Non-split extensions G=N.Q with N=
C
2
and Q=
C
12
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
C
12
2
=
C
3
2
×C
2
.C
4
2
central stem extension (φ=1)
288
C2.1C12^2
288,313
C
2
.
2
C
12
2
=
C
3
2
×C
8
⋊C
4
central stem extension (φ=1)
288
C2.2C12^2
288,315
×
⋊
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𝔽
○
≀
ℚ
◁