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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=
Q
8
Direct product G=N×Q with N=
S
3
×C
7
and Q=
Q
8
d
ρ
Label
ID
S
3
×C
7
×Q
8
168
4
S3xC7xQ8
336,190
Semidirect products G=N:Q with N=
S
3
×C
7
and Q=
Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
7
)⋊Q
8
=
S
3
×Dic
14
φ:
Q
8
/
C
4
→
C
2
⊆ Out
S
3
×C
7
168
4-
(S3xC7):Q8
336,140
×
⋊
ℤ
𝔽
○
≀
ℚ
◁