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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
2
×S
3
Direct product G=N×Q with N=
C
19
and Q=
C
2
2
×S
3
d
ρ
Label
ID
S
3
×C
2
×C
38
228
S3xC2xC38
456,52
Semidirect products G=N:Q with N=
C
19
and Q=
C
2
2
×S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
19
⋊
1
(C
2
2
×S
3
) =
C
2
×S
3
×D
19
φ:
C
2
2
×S
3
/
D
6
→
C
2
⊆ Aut
C
19
114
4+
C19:1(C2^2xS3)
456,47
C
19
⋊
2
(C
2
2
×S
3
) =
C
2
2
×D
57
φ:
C
2
2
×S
3
/
C
2
×C
6
→
C
2
⊆ Aut
C
19
228
C19:2(C2^2xS3)
456,53
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