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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
2
×C
22
Direct product G=N×Q with N=
C
7
and Q=
C
2
×C
22
d
ρ
Label
ID
C
2
×C
154
308
C2xC154
308,9
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
×C
22
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
2
×C
22
) =
D
7
×C
22
φ:
C
2
×C
22
/
C
22
→
C
2
⊆ Aut
C
7
154
2
C7:(C2xC22)
308,7
×
⋊
ℤ
𝔽
○
≀
ℚ
◁