Extensions 1→N→G→Q→1 with N=C4 and Q=C4xHe3

Direct product G=NxQ with N=C4 and Q=C4xHe3
dρLabelID
C42xHe3144C4^2xHe3432,201

Semidirect products G=N:Q with N=C4 and Q=C4xHe3
extensionφ:Q→Aut NdρLabelID
C4:(C4xHe3) = C4:C4xHe3φ: C4xHe3/C2xHe3C2 ⊆ Aut C4144C4:(C4xHe3)432,207

Non-split extensions G=N.Q with N=C4 and Q=C4xHe3
extensionφ:Q→Aut NdρLabelID
C4.(C4xHe3) = M4(2)xHe3φ: C4xHe3/C2xHe3C2 ⊆ Aut C4726C4.(C4xHe3)432,213
C4.2(C4xHe3) = C16xHe3central extension (φ=1)1443C4.2(C4xHe3)432,35
C4.3(C4xHe3) = C2xC8xHe3central extension (φ=1)144C4.3(C4xHe3)432,210

׿
x
:
Z
F
o
wr
Q
<