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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
×C
12
and Q=
C
3
2
Direct product G=N×Q with N=
C
2
×C
12
and Q=
C
3
2
d
ρ
Label
ID
C
3
×C
6
×C
12
216
C3xC6xC12
216,150
Non-split extensions G=N.Q with N=
C
2
×C
12
and Q=
C
3
2
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
12
).
1
C
3
2
=
C
2
×C
4
×He
3
central extension (φ=1)
72
(C2xC12).1C3^2
216,74
(C
2
×C
12
).
2
C
3
2
=
C
2
×C
4
×3
-
1+2
central extension (φ=1)
72
(C2xC12).2C3^2
216,75
×
⋊
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𝔽
○
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ℚ
◁