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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
3
×C
6
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
3
×C
6
d
ρ
Label
ID
C
3
×C
6
×C
7
⋊C
3
126
C3xC6xC7:C3
378,52
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
3
×C
6
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊(C
3
×C
6
) =
C
3
2
×F
7
φ:
C
3
×C
6
/
C
3
2
→
C
2
⊆ Out
C
7
⋊C
3
63
C7:C3:(C3xC6)
378,47
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𝔽
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≀
ℚ
◁