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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
42
and Q=
C
3
Direct product G=N×Q with N=
C
42
and Q=
C
3
d
ρ
Label
ID
C
3
×C
42
126
C3xC42
126,16
Semidirect products G=N:Q with N=
C
42
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
42
⋊C
3
=
C
6
×C
7
⋊C
3
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
42
42
3
C42:C3
126,10
Non-split extensions G=N.Q with N=
C
42
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
42
.C
3
=
C
2
×C
7
⋊C
9
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
42
126
3
C42.C3
126,2
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𝔽
○
≀
ℚ
◁