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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
3
×C
6
2
Direct product G=N×Q with N=
C
2
and Q=
C
3
×C
6
2
d
ρ
Label
ID
C
6
3
216
C6^3
216,177
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
×C
6
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
3
×C
6
2
) =
D
4
×C
3
3
central stem extension (φ=1)
108
C2.1(C3xC6^2)
216,151
C
2
.
2
(C
3
×C
6
2
) =
Q
8
×C
3
3
central stem extension (φ=1)
216
C2.2(C3xC6^2)
216,152
×
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𝔽
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ℚ
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