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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
3
2
and Q=
D
7
Direct product G=N×Q with N=
C
3
2
and Q=
D
7
d
ρ
Label
ID
C
3
2
×D
7
63
C3^2xD7
126,11
Semidirect products G=N:Q with N=
C
3
2
and Q=
D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊
1
D
7
=
C
3
×D
21
φ:
D
7
/
C
7
→
C
2
⊆ Aut
C
3
2
42
2
C3^2:1D7
126,13
C
3
2
⋊
2
D
7
=
C
3
⋊D
21
φ:
D
7
/
C
7
→
C
2
⊆ Aut
C
3
2
63
C3^2:2D7
126,15
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⋊
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𝔽
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ℚ
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