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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
4
Direct product G=N×Q with N=
S
3
×C
7
and Q=
C
4
d
ρ
Label
ID
S
3
×C
28
84
2
S3xC28
168,30
Semidirect products G=N:Q with N=
S
3
×C
7
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
7
)⋊C
4
=
S
3
×Dic
7
φ:
C
4
/
C
2
→
C
2
⊆ Out
S
3
×C
7
84
4-
(S3xC7):C4
168,13
×
⋊
ℤ
𝔽
○
≀
ℚ
◁