Extensions 1→N→G→Q→1 with N=C3 and Q=C9⋊C16

Direct product G=N×Q with N=C3 and Q=C9⋊C16
dρLabelID
C3×C9⋊C161442C3xC9:C16432,28

Semidirect products G=N:Q with N=C3 and Q=C9⋊C16
extensionφ:Q→Aut NdρLabelID
C3⋊(C9⋊C16) = C72.S3φ: C9⋊C16/C72C2 ⊆ Aut C3432C3:(C9:C16)432,32

Non-split extensions G=N.Q with N=C3 and Q=C9⋊C16
extensionφ:Q→Aut NdρLabelID
C3.(C9⋊C16) = C27⋊C16φ: C9⋊C16/C72C2 ⊆ Aut C34322C3.(C9:C16)432,1

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