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

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

		d	ρ	Label	ID
C₆×C₇₂		432		C6xC72	432,209

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

extension	φ:Q→Aut N	d	Label	ID
(C₃×C₁₈)⋊₁C₈ = C₁₈×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144	(C3xC18):1C8	432,126
(C₃×C₁₈)⋊₂C₈ = C₆×C₉⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144	(C3xC18):2C8	432,124
(C₃×C₁₈)⋊₃C₈ = C₂×C₃₆.S₃	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	432	(C3xC18):3C8	432,178

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₈).₁C₈ = C₉×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144	2	(C3xC18).1C8	432,29
(C₃×C₁₈).₂C₈ = C₃×C₉⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	144	2	(C3xC18).2C8	432,28
(C₃×C₁₈).₃C₈ = C₇₂.S₃	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₁₈	432		(C3xC18).3C8	432,32

⋊

ℤ

𝔽

○

≀

ℚ

◁

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