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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
3
and Q=
C
2
3
.D
7
Direct product G=N×Q with N=
C
3
and Q=
C
2
3
.D
7
d
ρ
Label
ID
C
3
×C
2
3
.D
7
168
C3xC2^3.D7
336,73
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
3
.D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
3
.D
7
) =
D
6
⋊Dic
7
φ:
C
2
3
.D
7
/
C
2
×Dic
7
→
C
2
⊆ Aut
C
3
168
C3:1(C2^3.D7)
336,43
C
3
⋊
2
(C
2
3
.D
7
) =
C
42
.
38
D
4
φ:
C
2
3
.D
7
/
C
2
2
×C
14
→
C
2
⊆ Aut
C
3
168
C3:2(C2^3.D7)
336,105
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