Extensions 1→N→G→Q→1 with N=C4 and Q=C2xC11:C5

Direct product G=NxQ with N=C4 and Q=C2xC11:C5
dρLabelID
C2xC4xC11:C588C2xC4xC11:C5440,12

Semidirect products G=N:Q with N=C4 and Q=C2xC11:C5
extensionφ:Q→Aut NdρLabelID
C4:(C2xC11:C5) = D4xC11:C5φ: C2xC11:C5/C11:C5C2 ⊆ Aut C44410C4:(C2xC11:C5)440,13

Non-split extensions G=N.Q with N=C4 and Q=C2xC11:C5
extensionφ:Q→Aut NdρLabelID
C4.(C2xC11:C5) = Q8xC11:C5φ: C2xC11:C5/C11:C5C2 ⊆ Aut C48810C4.(C2xC11:C5)440,14
C4.2(C2xC11:C5) = C8xC11:C5central extension (φ=1)885C4.2(C2xC11:C5)440,2

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