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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
and Q=
C
6
.D
4
Direct product G=N×Q with N=
C
7
and Q=
C
6
.D
4
d
ρ
Label
ID
C
7
×C
6
.D
4
168
C7xC6.D4
336,89
Semidirect products G=N:Q with N=
C
7
and Q=
C
6
.D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
6
.D
4
) =
D
14
⋊Dic
3
φ:
C
6
.D
4
/
C
2
×Dic
3
→
C
2
⊆ Aut
C
7
168
C7:1(C6.D4)
336,42
C
7
⋊
2
(C
6
.D
4
) =
C
42
.
38
D
4
φ:
C
6
.D
4
/
C
2
2
×C
6
→
C
2
⊆ Aut
C
7
168
C7:2(C6.D4)
336,105
×
⋊
ℤ
𝔽
○
≀
ℚ
◁