Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₃⋊C₈

Direct product G=N×Q with N=C₁₈ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₁₈×C₃⋊C₈		144		C18xC3:C8	432,126

Semidirect products G=N:Q with N=C₁₈ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊(C₃⋊C₈) = C₂×C₃₆.S₃	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18:(C3:C8)	432,178

Non-split extensions G=N.Q with N=C₁₈ and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₃⋊C₈) = C₂₇⋊C₁₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432	2	C18.1(C3:C8)	432,1
C₁₈.₂(C₃⋊C₈) = C₂×C₂₇⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.2(C3:C8)	432,9
C₁₈.₃(C₃⋊C₈) = C₇₂.S₃	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.3(C3:C8)	432,32
C₁₈.₄(C₃⋊C₈) = C₉×C₃⋊C₁₆	central extension (φ=1)	144	2	C18.4(C3:C8)	432,29

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