Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃×D₄⋊₂D₅

Direct product G=N×Q with N=C₂ and Q=C₃×D₄⋊₂D₅

		d	ρ	Label	ID
C₆×D₄⋊₂D₅		240		C6xD4:2D5	480,1140

Non-split extensions G=N.Q with N=C₂ and Q=C₃×D₄⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃×D₄⋊₂D₅) = C₃×C₂³.₁₁D₁₀	central extension (φ=1)	240		C2.1(C3xD4:2D5)	480,670
C₂.₂(C₃×D₄⋊₂D₅) = C₃×Dic₅⋊₄D₄	central extension (φ=1)	240		C2.2(C3xD4:2D5)	480,674
C₂.₃(C₃×D₄⋊₂D₅) = C₃×Dic₅⋊₃Q₈	central extension (φ=1)	480		C2.3(C3xD4:2D5)	480,680
C₂.₄(C₃×D₄⋊₂D₅) = C₃×C₄⋊C₄⋊₇D₅	central extension (φ=1)	240		C2.4(C3xD4:2D5)	480,685
C₂.₅(C₃×D₄⋊₂D₅) = C₃×D₄×Dic₅	central extension (φ=1)	240		C2.5(C3xD4:2D5)	480,727
C₂.₆(C₃×D₄⋊₂D₅) = C₃×Dic₅.₁₄D₄	central stem extension (φ=1)	240		C2.6(C3xD4:2D5)	480,671
C₂.₇(C₃×D₄⋊₂D₅) = C₃×C₂³.D₁₀	central stem extension (φ=1)	240		C2.7(C3xD4:2D5)	480,672
C₂.₈(C₃×D₄⋊₂D₅) = C₃×D₁₀.₁₂D₄	central stem extension (φ=1)	240		C2.8(C3xD4:2D5)	480,676
C₂.₉(C₃×D₄⋊₂D₅) = C₃×Dic₅.₅D₄	central stem extension (φ=1)	240		C2.9(C3xD4:2D5)	480,678
C₂.₁₀(C₃×D₄⋊₂D₅) = C₃×C₂².D₂₀	central stem extension (φ=1)	240		C2.10(C3xD4:2D5)	480,679
C₂.₁₁(C₃×D₄⋊₂D₅) = C₃×Dic₅.Q₈	central stem extension (φ=1)	480		C2.11(C3xD4:2D5)	480,682
C₂.₁₂(C₃×D₄⋊₂D₅) = C₃×C₄.Dic₁₀	central stem extension (φ=1)	480		C2.12(C3xD4:2D5)	480,683
C₂.₁₃(C₃×D₄⋊₂D₅) = C₃×D₁₀⋊₂Q₈	central stem extension (φ=1)	240		C2.13(C3xD4:2D5)	480,690
C₂.₁₄(C₃×D₄⋊₂D₅) = C₃×C₄⋊C₄⋊D₅	central stem extension (φ=1)	240		C2.14(C3xD4:2D5)	480,691
C₂.₁₅(C₃×D₄⋊₂D₅) = C₃×C₂³.₁₈D₁₀	central stem extension (φ=1)	240		C2.15(C3xD4:2D5)	480,728
C₂.₁₆(C₃×D₄⋊₂D₅) = C₃×C₂₀.₁₇D₄	central stem extension (φ=1)	240		C2.16(C3xD4:2D5)	480,729
C₂.₁₇(C₃×D₄⋊₂D₅) = C₃×C₂₀⋊₂D₄	central stem extension (φ=1)	240		C2.17(C3xD4:2D5)	480,731
C₂.₁₈(C₃×D₄⋊₂D₅) = C₃×Dic₅⋊D₄	central stem extension (φ=1)	240		C2.18(C3xD4:2D5)	480,732

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁