Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₄⋊C₂

Direct product G=N×Q with N=C₃ and Q=C₂₄⋊C₂

		d	ρ	Label	ID
C₃×C₂₄⋊C₂		48	2	C3xC24:C2	144,71

Semidirect products G=N:Q with N=C₃ and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₄⋊C₂) = C₂₄⋊₂S₃	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₃	72		C3:1(C24:C2)	144,87
C₃⋊₂(C₂₄⋊C₂) = C₃²⋊₅SD₁₆	φ: C₂₄⋊C₂/Dic₆ → C₂ ⊆ Aut C₃	24	4+	C3:2(C24:C2)	144,60
C₃⋊₃(C₂₄⋊C₂) = D₁₂.S₃	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₃	48	4-	C3:3(C24:C2)	144,59

Non-split extensions G=N.Q with N=C₃ and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂₄⋊C₂) = C₇₂⋊C₂	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₃	72	2	C3.(C24:C2)	144,7

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C24⋊C2