Extensions 1→N→G→Q→1 with N=C₂³.D₅ and Q=C₆

Direct product G=N×Q with N=C₂³.D₅ and Q=C₆

		d	ρ	Label	ID
C₆×C₂³.D₅		240		C6xC2^3.D5	480,745

Semidirect products G=N:Q with N=C₂³.D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₅⋊₁C₆ = C₃×C₂³.₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	120	4	C2^3.D5:1C6	480,84
C₂³.D₅⋊₂C₆ = C₃×C₂³⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	120	4	C2^3.D5:2C6	480,112
C₂³.D₅⋊₃C₆ = C₃×D₅×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	120		C2^3.D5:3C6	480,673
C₂³.D₅⋊₄C₆ = C₃×D₁₀.₁₂D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:4C6	480,676
C₂³.D₅⋊₅C₆ = C₃×Dic₅.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:5C6	480,678
C₂³.D₅⋊₆C₆ = C₃×C₂³.₂₃D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:6C6	480,722
C₂³.D₅⋊₇C₆ = C₃×D₄×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:7C6	480,727
C₂³.D₅⋊₈C₆ = C₃×C₂³.₁₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:8C6	480,728
C₂³.D₅⋊₉C₆ = C₃×C₂₀.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:9C6	480,729
C₂³.D₅⋊₁₀C₆ = C₃×C₂³⋊D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	120		C2^3.D5:10C6	480,730
C₂³.D₅⋊₁₁C₆ = C₃×C₂₀⋊₂D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:11C6	480,731
C₂³.D₅⋊₁₂C₆ = C₃×Dic₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5:12C6	480,732
C₂³.D₅⋊₁₃C₆ = C₃×C₂⁴⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	120		C2^3.D5:13C6	480,746
C₂³.D₅⋊₁₄C₆ = C₁₂×C₅⋊D₄	φ: trivial image	240		C2^3.D5:14C6	480,721

Non-split extensions G=N.Q with N=C₂³.D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₅.₁C₆ = C₃×C₂³.₁₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5.1C6	480,670
C₂³.D₅.₂C₆ = C₃×Dic₅.₁₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5.2C6	480,671
C₂³.D₅.₃C₆ = C₃×C₂³.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5.3C6	480,672
C₂³.D₅.₄C₆ = C₃×C₂₀.₄₈D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂³.D₅	240		C2^3.D5.4C6	480,717
C₂³.D₅.₅C₆ = C₃×C₂³.₂₁D₁₀	φ: trivial image	240		C2^3.D5.5C6	480,719

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁