Extensions 1→N→G→Q→1 with N=C₂ and Q=C₁₅×C₄○D₄

Direct product G=N×Q with N=C₂ and Q=C₁₅×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₃₀		240		C4oD4xC30	480,1183

Non-split extensions G=N.Q with N=C₂ and Q=C₁₅×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₁₅×C₄○D₄) = C₁₅×C₄²⋊C₂	central extension (φ=1)	240		C2.1(C15xC4oD4)	480,922
C₂.₂(C₁₅×C₄○D₄) = D₄×C₆₀	central extension (φ=1)	240		C2.2(C15xC4oD4)	480,923
C₂.₃(C₁₅×C₄○D₄) = Q₈×C₆₀	central extension (φ=1)	480		C2.3(C15xC4oD4)	480,924
C₂.₄(C₁₅×C₄○D₄) = C₁₅×C₄⋊D₄	central stem extension (φ=1)	240		C2.4(C15xC4oD4)	480,926
C₂.₅(C₁₅×C₄○D₄) = C₁₅×C₂²⋊Q₈	central stem extension (φ=1)	240		C2.5(C15xC4oD4)	480,927
C₂.₆(C₁₅×C₄○D₄) = C₁₅×C₂².D₄	central stem extension (φ=1)	240		C2.6(C15xC4oD4)	480,928
C₂.₇(C₁₅×C₄○D₄) = C₁₅×C₄.₄D₄	central stem extension (φ=1)	240		C2.7(C15xC4oD4)	480,929
C₂.₈(C₁₅×C₄○D₄) = C₁₅×C₄².C₂	central stem extension (φ=1)	480		C2.8(C15xC4oD4)	480,930
C₂.₉(C₁₅×C₄○D₄) = C₁₅×C₄²⋊₂C₂	central stem extension (φ=1)	240		C2.9(C15xC4oD4)	480,931

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁