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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
4
and Q=
C
72
Direct product G=N×Q with N=
C
4
and Q=
C
72
d
ρ
Label
ID
C
4
×C
72
288
C4xC72
288,46
Semidirect products G=N:Q with N=
C
4
and Q=
C
72
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
72
=
C
9
×C
4
⋊C
8
φ:
C
72
/
C
36
→
C
2
⊆ Aut
C
4
288
C4:C72
288,55
Non-split extensions G=N.Q with N=
C
4
and Q=
C
72
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
72
=
C
9
×M
5
(2)
φ:
C
72
/
C
36
→
C
2
⊆ Aut
C
4
144
2
C4.C72
288,60
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