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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
6
2
Direct product G=N×Q with N=
C
2
and Q=
C
6
2
d
ρ
Label
ID
C
2
×C
6
2
72
C2xC6^2
72,50
Non-split extensions G=N.Q with N=
C
2
and Q=
C
6
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
C
6
2
=
D
4
×C
3
2
central stem extension (φ=1)
36
C2.1C6^2
72,37
C
2
.
2
C
6
2
=
Q
8
×C
3
2
central stem extension (φ=1)
72
C2.2C6^2
72,38
×
⋊
ℤ
𝔽
○
≀
ℚ
◁