Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC3.A4

Direct product G=NxQ with N=C22 and Q=C2xC3.A4
dρLabelID
C23xC3.A472C2^3xC3.A4288,837

Semidirect products G=N:Q with N=C22 and Q=C2xC3.A4
extensionφ:Q→Aut NdρLabelID
C22:(C2xC3.A4) = C2xC24:C9φ: C2xC3.A4/C22xC6 → C3 ⊆ Aut C2236C2^2:(C2xC3.A4)288,838
C22:2(C2xC3.A4) = D4xC3.A4φ: C2xC3.A4/C3.A4 → C2 ⊆ Aut C22366C2^2:2(C2xC3.A4)288,344

Non-split extensions G=N.Q with N=C22 and Q=C2xC3.A4
extensionφ:Q→Aut NdρLabelID
C22.1(C2xC3.A4) = C2xC42:C9φ: C2xC3.A4/C22xC6 → C3 ⊆ Aut C22363C2^2.1(C2xC3.A4)288,71
C22.2(C2xC3.A4) = C24:C18φ: C2xC3.A4/C22xC6 → C3 ⊆ Aut C22366C2^2.2(C2xC3.A4)288,73
C22.3(C2xC3.A4) = C42:C18φ: C2xC3.A4/C22xC6 → C3 ⊆ Aut C22726C2^2.3(C2xC3.A4)288,74
C22.4(C2xC3.A4) = C42:2C18φ: C2xC3.A4/C22xC6 → C3 ⊆ Aut C22366C2^2.4(C2xC3.A4)288,75
C22.5(C2xC3.A4) = 2- 1+4:C9φ: C2xC3.A4/C3.A4 → C2 ⊆ Aut C221444C2^2.5(C2xC3.A4)288,349
C22.6(C2xC3.A4) = C4xQ8:C9central extension (φ=1)288C2^2.6(C2xC3.A4)288,72
C22.7(C2xC3.A4) = C2xC4xC3.A4central extension (φ=1)72C2^2.7(C2xC3.A4)288,343
C22.8(C2xC3.A4) = C22xQ8:C9central extension (φ=1)288C2^2.8(C2xC3.A4)288,345
C22.9(C2xC3.A4) = C2xQ8.C18central extension (φ=1)144C2^2.9(C2xC3.A4)288,347

׿
x
:
Z
F
o
wr
Q
<