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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
7
⋊C
3
and Q=
C
18
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
18
d
ρ
Label
ID
C
18
×C
7
⋊C
3
126
3
C18xC7:C3
378,23
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
18
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊C
18
=
C
9
×F
7
φ:
C
18
/
C
9
→
C
2
⊆ Out
C
7
⋊C
3
63
6
C7:C3:C18
378,7
×
⋊
ℤ
𝔽
○
≀
ℚ
◁