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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
3
×D
7
and Q=
C
4
Direct product G=N×Q with N=
C
3
×D
7
and Q=
C
4
d
ρ
Label
ID
C
12
×D
7
84
2
C12xD7
168,25
Semidirect products G=N:Q with N=
C
3
×D
7
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×D
7
)⋊C
4
=
Dic
3
×D
7
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
3
×D
7
84
4-
(C3xD7):C4
168,12
×
⋊
ℤ
𝔽
○
≀
ℚ
◁