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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=
S
3
×C
7
and Q=
C
8
Direct product G=N×Q with N=
S
3
×C
7
and Q=
C
8
d
ρ
Label
ID
S
3
×C
56
168
2
S3xC56
336,74
Semidirect products G=N:Q with N=
S
3
×C
7
and Q=
C
8
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
7
)⋊C
8
=
S
3
×C
7
⋊C
8
φ:
C
8
/
C
4
→
C
2
⊆ Out
S
3
×C
7
168
4
(S3xC7):C8
336,24
×
⋊
ℤ
𝔽
○
≀
ℚ
◁