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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
5
and Q=
S
3
×C
2
3
Direct product G=N×Q with N=
C
5
and Q=
S
3
×C
2
3
d
ρ
Label
ID
S
3
×C
2
2
×C
10
120
S3xC2^2xC10
240,206
Semidirect products G=N:Q with N=
C
5
and Q=
S
3
×C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
(S
3
×C
2
3
) =
C
2
2
×S
3
×D
5
φ:
S
3
×C
2
3
/
C
2
2
×S
3
→
C
2
⊆ Aut
C
5
60
C5:1(S3xC2^3)
240,202
C
5
⋊
2
(S
3
×C
2
3
) =
C
2
3
×D
15
φ:
S
3
×C
2
3
/
C
2
2
×C
6
→
C
2
⊆ Aut
C
5
120
C5:2(S3xC2^3)
240,207
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⋊
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○
≀
ℚ
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