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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=
D
7
and Q=
C
2
×A
4
Direct product G=N×Q with N=
D
7
and Q=
C
2
×A
4
d
ρ
Label
ID
C
2
×A
4
×D
7
42
6+
C2xA4xD7
336,217
Semidirect products G=N:Q with N=
D
7
and Q=
C
2
×A
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
⋊(C
2
×A
4
) =
C
2
×D
7
⋊A
4
φ:
C
2
×A
4
/
C
2
3
→
C
3
⊆ Out
D
7
42
6+
D7:(C2xA4)
336,218
×
⋊
ℤ
𝔽
○
≀
ℚ
◁