Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂³xC₁₀

Direct product G=NxQ with N=C₄ and Q=C₂³xC₁₀

		d	ρ	Label	ID
C₂⁴xC₂₀		320		C2^4xC20	320,1628

Semidirect products G=N:Q with N=C₄ and Q=C₂³xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂³xC₁₀) = D₄xC₂²xC₁₀	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4:(C2^3xC10)	320,1629

Non-split extensions G=N.Q with N=C₄ and Q=C₂³xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂³xC₁₀) = D₈xC₂xC₁₀	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4.1(C2^3xC10)	320,1571
C₄.₂(C₂³xC₁₀) = SD₁₆xC₂xC₁₀	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4.2(C2^3xC10)	320,1572
C₄.₃(C₂³xC₁₀) = Q₁₆xC₂xC₁₀	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	320		C4.3(C2^3xC10)	320,1573
C₄.₄(C₂³xC₁₀) = C₁₀xC₄oD₈	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4.4(C2^3xC10)	320,1574
C₄.₅(C₂³xC₁₀) = C₁₀xC₈:C₂²	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	80		C4.5(C2^3xC10)	320,1575
C₄.₆(C₂³xC₁₀) = C₁₀xC₈.C₂²	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4.6(C2^3xC10)	320,1576
C₄.₇(C₂³xC₁₀) = C₅xD₈:C₂²	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	80	4	C4.7(C2^3xC10)	320,1577
C₄.₈(C₂³xC₁₀) = C₅xD₄oD₈	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	80	4	C4.8(C2^3xC10)	320,1578
C₄.₉(C₂³xC₁₀) = C₅xD₄oSD₁₆	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	80	4	C4.9(C2^3xC10)	320,1579
C₄.₁₀(C₂³xC₁₀) = C₅xQ₈oD₈	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160	4	C4.10(C2^3xC10)	320,1580
C₄.₁₁(C₂³xC₁₀) = Q₈xC₂²xC₁₀	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	320		C4.11(C2^3xC10)	320,1630
C₄.₁₂(C₂³xC₁₀) = C₄oD₄xC₂xC₁₀	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4.12(C2^3xC10)	320,1631
C₄.₁₃(C₂³xC₁₀) = C₁₀x2₊¹⁺⁴	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	80		C4.13(C2^3xC10)	320,1632
C₄.₁₄(C₂³xC₁₀) = C₁₀x2_-¹⁺⁴	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	160		C4.14(C2^3xC10)	320,1633
C₄.₁₅(C₂³xC₁₀) = C₅xC₂.C₂⁵	φ: C₂³xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₄	80	4	C4.15(C2^3xC10)	320,1634
C₄.₁₆(C₂³xC₁₀) = M₄(2)xC₂xC₁₀	central extension (φ=1)	160		C4.16(C2^3xC10)	320,1568
C₄.₁₇(C₂³xC₁₀) = C₁₀xC₈oD₄	central extension (φ=1)	160		C4.17(C2^3xC10)	320,1569
C₄.₁₈(C₂³xC₁₀) = C₅xQ₈oM₄(2)	central extension (φ=1)	80	4	C4.18(C2^3xC10)	320,1570

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