Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂₄⋊C₂

Direct product G=N×Q with N=C₂² and Q=C₂₄⋊C₂

		d	ρ	Label	ID
C₂²×C₂₄⋊C₂		96		C2^2xC24:C2	192,1298

Semidirect products G=N:Q with N=C₂² and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂₄⋊C₂) = C₈⋊₂S₄	φ: C₂₄⋊C₂/C₈ → S₃ ⊆ Aut C₂²	24	6	C2^2:(C24:C2)	192,960
C₂²⋊₂(C₂₄⋊C₂) = C₂₄⋊₃₀D₄	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₂²	96		C2^2:2(C24:C2)	192,673
C₂²⋊₃(C₂₄⋊C₂) = Dic₆⋊₁₄D₄	φ: C₂₄⋊C₂/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2:3(C24:C2)	192,297
C₂²⋊₄(C₂₄⋊C₂) = D₁₂.₃₁D₄	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:4(C24:C2)	192,290

Non-split extensions G=N.Q with N=C₂² and Q=C₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂₄⋊C₂) = D₂₄.₁C₄	φ: C₂₄⋊C₂/C₂₄ → C₂ ⊆ Aut C₂²	96	2	C2^2.1(C24:C2)	192,69
C₂².₂(C₂₄⋊C₂) = C₂².₂D₂₄	φ: C₂₄⋊C₂/Dic₆ → C₂ ⊆ Aut C₂²	48		C2^2.2(C24:C2)	192,29
C₂².₃(C₂₄⋊C₂) = C₂³.₄₃D₁₂	φ: C₂₄⋊C₂/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2.3(C24:C2)	192,294
C₂².₄(C₂₄⋊C₂) = C₂³.₃₅D₁₂	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₂²	48		C2^2.4(C24:C2)	192,26
C₂².₅(C₂₄⋊C₂) = C₂₄.Q₈	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₂²	48	4	C2^2.5(C24:C2)	192,72
C₂².₆(C₂₄⋊C₂) = M₅(2)⋊S₃	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₂²	48	4+	C2^2.6(C24:C2)	192,75
C₂².₇(C₂₄⋊C₂) = C₁₂.₄D₈	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₂²	96	4-	C2^2.7(C24:C2)	192,76
C₂².₈(C₂₄⋊C₂) = C₂³.₃₉D₁₂	φ: C₂₄⋊C₂/D₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.8(C24:C2)	192,280
C₂².₉(C₂₄⋊C₂) = C₁₂.₉C₄²	central extension (φ=1)	192		C2^2.9(C24:C2)	192,110
C₂².₁₀(C₂₄⋊C₂) = C₂×C₂.Dic₁₂	central extension (φ=1)	192		C2^2.10(C24:C2)	192,662
C₂².₁₁(C₂₄⋊C₂) = C₂×C₈⋊Dic₃	central extension (φ=1)	192		C2^2.11(C24:C2)	192,663
C₂².₁₂(C₂₄⋊C₂) = C₂×C₂.D₂₄	central extension (φ=1)	96		C2^2.12(C24:C2)	192,671

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