Extensions 1→N→G→Q→1 with N=C₂₄ and Q=C₁₈

Direct product G=N×Q with N=C₂₄ and Q=C₁₈

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

Semidirect products G=N:Q with N=C₂₄ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁C₁₈ = C₉×D₂₄	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	144	2	C24:1C18	432,112
C₂₄⋊₂C₁₈ = C₉×C₂₄⋊C₂	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	144	2	C24:2C18	432,111
C₂₄⋊₃C₁₈ = D₈×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	216		C24:3C18	432,215
C₂₄⋊₄C₁₈ = S₃×C₇₂	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	144	2	C24:4C18	432,109
C₂₄⋊₅C₁₈ = C₉×C₈⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	144	2	C24:5C18	432,110
C₂₄⋊₆C₁₈ = SD₁₆×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	216		C24:6C18	432,218
C₂₄⋊₇C₁₈ = M₄(2)×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	216		C24:7C18	432,212

Non-split extensions G=N.Q with N=C₂₄ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₁₈ = C₉×Dic₁₂	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	144	2	C24.1C18	432,113
C₂₄.₂C₁₈ = D₈×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	216	2	C24.2C18	432,25
C₂₄.₃C₁₈ = Q₁₆×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	432	2	C24.3C18	432,27
C₂₄.₄C₁₈ = Q₁₆×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	432		C24.4C18	432,221
C₂₄.₅C₁₈ = C₉×C₃⋊C₁₆	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	144	2	C24.5C18	432,29
C₂₄.₆C₁₈ = SD₁₆×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	216	2	C24.6C18	432,26
C₂₄.₇C₁₈ = M₄(2)×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₄	216	2	C24.7C18	432,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁