Extensions 1→N→G→Q→1 with N=C6 and Q=C13⋊C6

Direct product G=N×Q with N=C6 and Q=C13⋊C6
dρLabelID
C6×C13⋊C6786C6xC13:C6468,33

Semidirect products G=N:Q with N=C6 and Q=C13⋊C6
extensionφ:Q→Aut NdρLabelID
C6⋊(C13⋊C6) = C2×D39⋊C3φ: C13⋊C6/C13⋊C3C2 ⊆ Aut C6786+C6:(C13:C6)468,35

Non-split extensions G=N.Q with N=C6 and Q=C13⋊C6
extensionφ:Q→Aut NdρLabelID
C6.(C13⋊C6) = C393C12φ: C13⋊C6/C13⋊C3C2 ⊆ Aut C61566-C6.(C13:C6)468,21
C6.2(C13⋊C6) = C132C36central extension (φ=1)4686C6.2(C13:C6)468,1
C6.3(C13⋊C6) = C2×C13⋊C18central extension (φ=1)2346C6.3(C13:C6)468,8
C6.4(C13⋊C6) = C3×C26.C6central extension (φ=1)1566C6.4(C13:C6)468,19

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