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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=
D
6
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
D
6
d
ρ
Label
ID
C
2
×S
3
×C
7
⋊C
3
42
6
C2xS3xC7:C3
252,29
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
D
6
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊
1
D
6
=
S
3
×F
7
φ:
D
6
/
S
3
→
C
2
⊆ Out
C
7
⋊C
3
21
12+
C7:C3:1D6
252,26
C
7
⋊C
3
⋊
2
D
6
=
C
2
×C
3
⋊F
7
φ:
D
6
/
C
6
→
C
2
⊆ Out
C
7
⋊C
3
42
6+
C7:C3:2D6
252,30
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⋊
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𝔽
○
≀
ℚ
◁