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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
and Q=
C
2
×C
72
Direct product G=N×Q with N=
C
3
and Q=
C
2
×C
72
d
ρ
Label
ID
C
6
×C
72
432
C6xC72
432,209
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
×C
72
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
×C
72
) =
S
3
×C
72
φ:
C
2
×C
72
/
C
72
→
C
2
⊆ Aut
C
3
144
2
C3:1(C2xC72)
432,109
C
3
⋊
2
(C
2
×C
72
) =
C
18
×C
3
⋊C
8
φ:
C
2
×C
72
/
C
2
×C
36
→
C
2
⊆ Aut
C
3
144
C3:2(C2xC72)
432,126
×
⋊
ℤ
𝔽
○
≀
ℚ
◁