Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₅₆

Direct product G=NxQ with N=C₂² and Q=C₂xC₅₆

		d	ρ	Label	ID
C₂³xC₅₆		448		C2^3xC56	448,1348

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂xC₅₆) = D₄xC₅₆	φ: C₂xC₅₆/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:1(C2xC56)	448,842
C₂²:₂(C₂xC₅₆) = C₁₄xC₂²:C₈	φ: C₂xC₅₆/C₂xC₂₈ → C₂ ⊆ Aut C₂²	224		C2^2:2(C2xC56)	448,814

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₅₆) = C₇xD₄oC₁₆	φ: C₂xC₅₆/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.1(C2xC56)	448,912
C₂².₂(C₂xC₅₆) = C₇xC₂³:C₈	φ: C₂xC₅₆/C₂xC₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.2(C2xC56)	448,127
C₂².₃(C₂xC₅₆) = C₇xC₂².M₄(2)	φ: C₂xC₅₆/C₂xC₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.3(C2xC56)	448,128
C₂².₄(C₂xC₅₆) = C₇xC₂³.C₈	φ: C₂xC₅₆/C₂xC₂₈ → C₂ ⊆ Aut C₂²	112	4	C2^2.4(C2xC56)	448,153
C₂².₅(C₂xC₅₆) = C₇xC₄².₁₂C₄	φ: C₂xC₅₆/C₂xC₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.5(C2xC56)	448,839
C₂².₆(C₂xC₅₆) = C₁₄xM₅(2)	φ: C₂xC₅₆/C₂xC₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.6(C2xC56)	448,911
C₂².₇(C₂xC₅₆) = C₇xC₂².₇C₄²	central extension (φ=1)	448		C2^2.7(C2xC56)	448,140
C₂².₈(C₂xC₅₆) = C₇xC₁₆:₅C₄	central extension (φ=1)	448		C2^2.8(C2xC56)	448,150
C₂².₉(C₂xC₅₆) = C₇xC₂²:C₁₆	central extension (φ=1)	224		C2^2.9(C2xC56)	448,152
C₂².₁₀(C₂xC₅₆) = C₇xC₄:C₁₆	central extension (φ=1)	448		C2^2.10(C2xC56)	448,167
C₂².₁₁(C₂xC₅₆) = C₁₄xC₄:C₈	central extension (φ=1)	448		C2^2.11(C2xC56)	448,830

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