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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
4
2
⋊C
3
Direct product G=N×Q with N=
C
2
and Q=
C
3
×C
4
2
⋊C
3
d
ρ
Label
ID
C
6
×C
4
2
⋊C
3
36
3
C6xC4^2:C3
288,632
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
×C
4
2
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
3
×C
4
2
⋊C
3
) =
C
3
×C
2
3
.
3
A
4
central stem extension (φ=1)
36
6
C2.(C3xC4^2:C3)
288,230
×
⋊
ℤ
𝔽
○
≀
ℚ
◁