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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
2
×C
72
and Q=
C
3
Direct product G=N×Q with N=
C
2
×C
72
and Q=
C
3
d
ρ
Label
ID
C
6
×C
72
432
C6xC72
432,209
Semidirect products G=N:Q with N=
C
2
×C
72
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
72
)⋊C
3
=
C
2
×C
8
×3
-
1+2
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
×C
72
144
(C2xC72):C3
432,211
×
⋊
ℤ
𝔽
○
≀
ℚ
◁