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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
19
and Q=
C
2
3
Direct product G=N×Q with N=
C
19
and Q=
C
2
3
d
ρ
Label
ID
C
2
2
×C
38
152
C2^2xC38
152,12
Semidirect products G=N:Q with N=
C
19
and Q=
C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
19
⋊C
2
3
=
C
2
2
×D
19
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Aut
C
19
76
C19:C2^3
152,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁