Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²:₂C₈

Direct product G=NxQ with N=C₄ and Q=C₃²:₂C₈

		d	ρ	Label	ID
C₄xC₃²:₂C₈		96		C4xC3^2:2C8	288,423

Semidirect products G=N:Q with N=C₄ and Q=C₃²:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₃²:₂C₈) = (C₃xC₁₂):₄C₈	φ: C₃²:₂C₈/C₃:Dic₃ → C₂ ⊆ Aut C₄	96		C4:(C3^2:2C8)	288,424

Non-split extensions G=N.Q with N=C₄ and Q=C₃²:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃²:₂C₈) = C₆².₄C₈	φ: C₃²:₂C₈/C₃:Dic₃ → C₂ ⊆ Aut C₄	48	4	C4.(C3^2:2C8)	288,421
C₄.₂(C₃²:₂C₈) = C₃²:₂C₃₂	central extension (φ=1)	96	4	C4.2(C3^2:2C8)	288,188
C₄.₃(C₃²:₂C₈) = C₂xC₃²:₂C₁₆	central extension (φ=1)	96		C4.3(C3^2:2C8)	288,420

Extensions 1→N→G→Q→1 with N=C4 and Q=C32:2C8