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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
3
and Q=
C
19
⋊C
3
Direct product G=N×Q with N=
C
2
3
and Q=
C
19
⋊C
3
d
ρ
Label
ID
C
2
3
×C
19
⋊C
3
152
C2^3xC19:C3
456,48
Semidirect products G=N:Q with N=
C
2
3
and Q=
C
19
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
3
⋊(C
19
⋊C
3
) =
C
2
×C
19
⋊A
4
φ:
C
19
⋊C
3
/
C
19
→
C
3
⊆ Aut
C
2
3
114
3
C2^3:(C19:C3)
456,50
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𝔽
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ℚ
◁