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

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

		d	ρ	Label	ID
C₂³×C₂₄		192		C2^3xC24	192,1454

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₂₄) = A₄×C₂×C₈	φ: C₂×C₂₄/C₂×C₈ → C₃ ⊆ Aut C₂²	48		C2^2:(C2xC24)	192,1010
C₂²⋊₂(C₂×C₂₄) = D₄×C₂₄	φ: C₂×C₂₄/C₂₄ → C₂ ⊆ Aut C₂²	96		C2^2:2(C2xC24)	192,867
C₂²⋊₃(C₂×C₂₄) = C₆×C₂²⋊C₈	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₂²	96		C2^2:3(C2xC24)	192,839

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₂₄) = C₃×D₄○C₁₆	φ: C₂×C₂₄/C₂₄ → C₂ ⊆ Aut C₂²	96	2	C2^2.1(C2xC24)	192,937
C₂².₂(C₂×C₂₄) = C₃×C₂³⋊C₈	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2.2(C2xC24)	192,129
C₂².₃(C₂×C₂₄) = C₃×C₂².M₄(2)	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.3(C2xC24)	192,130
C₂².₄(C₂×C₂₄) = C₃×C₂³.C₈	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₂²	48	4	C2^2.4(C2xC24)	192,155
C₂².₅(C₂×C₂₄) = C₃×C₄².₁₂C₄	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.5(C2xC24)	192,864
C₂².₆(C₂×C₂₄) = C₆×M₅(2)	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.6(C2xC24)	192,936
C₂².₇(C₂×C₂₄) = C₃×C₂².₇C₄²	central extension (φ=1)	192		C2^2.7(C2xC24)	192,142
C₂².₈(C₂×C₂₄) = C₃×C₁₆⋊₅C₄	central extension (φ=1)	192		C2^2.8(C2xC24)	192,152
C₂².₉(C₂×C₂₄) = C₃×C₂²⋊C₁₆	central extension (φ=1)	96		C2^2.9(C2xC24)	192,154
C₂².₁₀(C₂×C₂₄) = C₃×C₄⋊C₁₆	central extension (φ=1)	192		C2^2.10(C2xC24)	192,169
C₂².₁₁(C₂×C₂₄) = C₆×C₄⋊C₈	central extension (φ=1)	192		C2^2.11(C2xC24)	192,855

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