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

Extensions 1→N→G→Q→1 with N=C4 and Q=A4:C4

Direct product G=NxQ with N=C4 and Q=A4:C4
dρLabelID
C4xA4:C448C4xA4:C4192,969

Semidirect products G=N:Q with N=C4 and Q=A4:C4
extensionφ:Q→Aut NdρLabelID
C4:(A4:C4) = C24.4D6φ: A4:C4/C2xA4 → C2 ⊆ Aut C448C4:(A4:C4)192,971

Non-split extensions G=N.Q with N=C4 and Q=A4:C4
extensionφ:Q→Aut NdρLabelID
C4.1(A4:C4) = A4:M4(2)φ: A4:C4/C2xA4 → C2 ⊆ Aut C4246C4.1(A4:C4)192,968
C4.2(A4:C4) = U2(F3):C2φ: A4:C4/C2xA4 → C2 ⊆ Aut C4324C4.2(A4:C4)192,982
C4.3(A4:C4) = (C2xC4).S4φ: A4:C4/C2xA4 → C2 ⊆ Aut C464C4.3(A4:C4)192,985
C4.4(A4:C4) = A4:C16central extension (φ=1)483C4.4(A4:C4)192,186
C4.5(A4:C4) = C8.7S4central extension (φ=1)642C4.5(A4:C4)192,187
C4.6(A4:C4) = C2xA4:C8central extension (φ=1)48C4.6(A4:C4)192,967
C4.7(A4:C4) = C2xU2(F3)central extension (φ=1)48C4.7(A4:C4)192,981
C4.8(A4:C4) = C4.A4:C4central extension (φ=1)64C4.8(A4:C4)192,983

׿
x
:
Z
F
o
wr
Q
<