Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊C16

Direct product G=N×Q with N=C3 and Q=C3⋊C16
dρLabelID
C3×C3⋊C16482C3xC3:C16144,28

Semidirect products G=N:Q with N=C3 and Q=C3⋊C16
extensionφ:Q→Aut NdρLabelID
C3⋊(C3⋊C16) = C24.S3φ: C3⋊C16/C24C2 ⊆ Aut C3144C3:(C3:C16)144,29

Non-split extensions G=N.Q with N=C3 and Q=C3⋊C16
extensionφ:Q→Aut NdρLabelID
C3.(C3⋊C16) = C9⋊C16φ: C3⋊C16/C24C2 ⊆ Aut C31442C3.(C3:C16)144,1

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