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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
3
⋊C
2
and Q=
C
2
3
Direct product G=N×Q with N=
C
3
3
⋊C
2
and Q=
C
2
3
d
ρ
Label
ID
C
2
3
×C
3
3
⋊C
2
216
C2^3xC3^3:C2
432,774
Semidirect products G=N:Q with N=
C
3
3
⋊C
2
and Q=
C
2
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
3
⋊C
2
⋊C
2
3
=
C
2
×S
3
3
φ:
C
2
3
/
C
2
→
C
2
2
⊆ Out
C
3
3
⋊C
2
24
8+
C3^3:C2:C2^3
432,759
C
3
3
⋊C
2
⋊
2
C
2
3
=
C
2
2
×S
3
×C
3
⋊S
3
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Out
C
3
3
⋊C
2
72
C3^3:C2:2C2^3
432,768
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