Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²xC₇:C₃

Direct product G=NxQ with N=C₂² and Q=C₂²xC₇:C₃

		d	ρ	Label	ID
C₂⁴xC₇:C₃		112		C2^4xC7:C3	336,220

Semidirect products G=N:Q with N=C₂² and Q=C₂²xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂²xC₇:C₃) = C₂²xC₇:A₄	φ: C₂²xC₇:C₃/C₂xC₁₄ → C₃ ⊆ Aut C₂²	84		C2^2:(C2^2xC7:C3)	336,222
C₂²:₂(C₂²xC₇:C₃) = C₂xD₄xC₇:C₃	φ: C₂²xC₇:C₃/C₂xC₇:C₃ → C₂ ⊆ Aut C₂²	56		C2^2:2(C2^2xC7:C3)	336,165

Non-split extensions G=N.Q with N=C₂² and Q=C₂²xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂²xC₇:C₃) = C₄oD₄xC₇:C₃	φ: C₂²xC₇:C₃/C₂xC₇:C₃ → C₂ ⊆ Aut C₂²	56	6	C2^2.(C2^2xC7:C3)	336,167
C₂².₂(C₂²xC₇:C₃) = C₄²xC₇:C₃	central extension (φ=1)	112		C2^2.2(C2^2xC7:C3)	336,48
C₂².₃(C₂²xC₇:C₃) = C₂²:C₄xC₇:C₃	central extension (φ=1)	56		C2^2.3(C2^2xC7:C3)	336,49
C₂².₄(C₂²xC₇:C₃) = C₄:C₄xC₇:C₃	central extension (φ=1)	112		C2^2.4(C2^2xC7:C3)	336,50
C₂².₅(C₂²xC₇:C₃) = C₂²xC₄xC₇:C₃	central extension (φ=1)	112		C2^2.5(C2^2xC7:C3)	336,164
C₂².₆(C₂²xC₇:C₃) = C₂xQ₈xC₇:C₃	central extension (φ=1)	112		C2^2.6(C2^2xC7:C3)	336,166

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