Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×C₃⋊C₈

Direct product G=N×Q with N=C₂² and Q=C₅×C₃⋊C₈

		d	ρ	Label	ID
C₂×C₁₀×C₃⋊C₈		480		C2xC10xC3:C8	480,799

Semidirect products G=N:Q with N=C₂² and Q=C₅×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×C₃⋊C₈) = C₅×A₄⋊C₈	φ: C₅×C₃⋊C₈/C₂₀ → S₃ ⊆ Aut C₂²	120	3	C2^2:(C5xC3:C8)	480,255
C₂²⋊₂(C₅×C₃⋊C₈) = C₅×C₁₂.₅₅D₄	φ: C₅×C₃⋊C₈/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(C5xC3:C8)	480,149

Non-split extensions G=N.Q with N=C₂² and Q=C₅×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×C₃⋊C₈) = C₅×C₁₂.C₈	φ: C₅×C₃⋊C₈/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.(C5xC3:C8)	480,131
C₂².₂(C₅×C₃⋊C₈) = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		C2^2.2(C5xC3:C8)	480,130

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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×C3⋊C8