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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
3
and Q=
3
-
1+2
Direct product G=N×Q with N=
C
2
3
and Q=
3
-
1+2
d
ρ
Label
ID
C
2
3
×3
-
1+2
72
C2^3xES-(3,1)
216,116
Semidirect products G=N:Q with N=
C
2
3
and Q=
3
-
1+2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
3
⋊
1
3
-
1+2
=
C
2
×C
9
⋊A
4
φ:
3
-
1+2
/
C
9
→
C
3
⊆ Aut
C
2
3
54
3
C2^3:1ES-(3,1)
216,104
C
2
3
⋊
2
3
-
1+2
=
C
2
×C
3
2
.A
4
φ:
3
-
1+2
/
C
3
2
→
C
3
⊆ Aut
C
2
3
18
3
C2^3:2ES-(3,1)
216,106
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⋊
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𝔽
○
≀
ℚ
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