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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
4
.Dic
3
Direct product G=N×Q with N=
C
7
and Q=
C
4
.Dic
3
d
ρ
Label
ID
C
7
×C
4
.Dic
3
168
2
C7xC4.Dic3
336,80
Semidirect products G=N:Q with N=
C
7
and Q=
C
4
.Dic
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
4
.Dic
3
) =
C
28
.
32
D
6
φ:
C
4
.Dic
3
/
C
3
⋊C
8
→
C
2
⊆ Aut
C
7
168
4
C7:1(C4.Dic3)
336,26
C
7
⋊
2
(C
4
.Dic
3
) =
C
84
.C
4
φ:
C
4
.Dic
3
/
C
2
×C
12
→
C
2
⊆ Aut
C
7
168
2
C7:2(C4.Dic3)
336,96
×
⋊
ℤ
𝔽
○
≀
ℚ
◁