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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
21
and Q=
C
3
2
Direct product G=N×Q with N=
D
21
and Q=
C
3
2
d
ρ
Label
ID
C
3
2
×D
21
126
C3^2xD21
378,55
Semidirect products G=N:Q with N=
D
21
and Q=
C
3
2
extension
φ:Q→Out N
d
ρ
Label
ID
D
21
⋊C
3
2
=
C
3
×C
3
⋊F
7
φ:
C
3
2
/
C
3
→
C
3
⊆ Out
D
21
42
6
D21:C3^2
378,49
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⋊
ℤ
𝔽
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≀
ℚ
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