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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=
D
9
and Q=
C
7
⋊C
3
Direct product G=N×Q with N=
D
9
and Q=
C
7
⋊C
3
d
ρ
Label
ID
D
9
×C
7
⋊C
3
63
6
D9xC7:C3
378,15
Semidirect products G=N:Q with N=
D
9
and Q=
C
7
⋊C
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
9
⋊
1
(C
7
⋊C
3
) =
C
63
⋊C
6
φ:
C
7
⋊C
3
/
C
7
→
C
3
⊆ Out
D
9
63
6
D9:1(C7:C3)
378,13
D
9
⋊
2
(C
7
⋊C
3
) =
C
63
⋊
6
C
6
φ:
C
7
⋊C
3
/
C
7
→
C
3
⊆ Out
D
9
63
6
D9:2(C7:C3)
378,14
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