Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆×C₁₈

Direct product G=N×Q with N=C₄ and Q=C₆×C₁₈

		d	ρ	Label	ID
C₂×C₆×C₃₆		432		C2xC6xC36	432,400

Semidirect products G=N:Q with N=C₄ and Q=C₆×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₆×C₁₈) = D₄×C₃×C₁₈	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₄	216		C4:(C6xC18)	432,403

Non-split extensions G=N.Q with N=C₄ and Q=C₆×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆×C₁₈) = D₈×C₃×C₉	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₄	216		C4.1(C6xC18)	432,215
C₄.₂(C₆×C₁₈) = SD₁₆×C₃×C₉	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₄	216		C4.2(C6xC18)	432,218
C₄.₃(C₆×C₁₈) = Q₁₆×C₃×C₉	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₄	432		C4.3(C6xC18)	432,221
C₄.₄(C₆×C₁₈) = Q₈×C₃×C₁₈	φ: C₆×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₄	432		C4.4(C6xC18)	432,406
C₄.₅(C₆×C₁₈) = M₄(2)×C₃×C₉	central extension (φ=1)	216		C4.5(C6xC18)	432,212
C₄.₆(C₆×C₁₈) = C₄○D₄×C₃×C₉	central extension (φ=1)	216		C4.6(C6xC18)	432,409

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁