Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₆×F₅

Direct product G=N×Q with N=C₂ and Q=C₂×C₆×F₅

		d	ρ	Label	ID
F₅×C₂²×C₆		120		F5xC2^2xC6	480,1205

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₆×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₆×F₅) = C₆×D₅⋊C₈	central extension (φ=1)	240		C2.1(C2xC6xF5)	480,1047
C₂.₂(C₂×C₆×F₅) = F₅×C₂×C₁₂	central extension (φ=1)	120		C2.2(C2xC6xF5)	480,1050
C₂.₃(C₂×C₆×F₅) = C₂×C₆×C₅⋊C₈	central extension (φ=1)	480		C2.3(C2xC6xF5)	480,1057
C₂.₄(C₂×C₆×F₅) = C₆×C₄.F₅	central stem extension (φ=1)	240		C2.4(C2xC6xF5)	480,1048
C₂.₅(C₂×C₆×F₅) = C₃×D₅⋊M₄(2)	central stem extension (φ=1)	120	4	C2.5(C2xC6xF5)	480,1049
C₂.₆(C₂×C₆×F₅) = C₆×C₄⋊F₅	central stem extension (φ=1)	120		C2.6(C2xC6xF5)	480,1051
C₂.₇(C₂×C₆×F₅) = C₃×D₁₀.C₂³	central stem extension (φ=1)	120	4	C2.7(C2xC6xF5)	480,1052
C₂.₈(C₂×C₆×F₅) = C₃×D₄.F₅	central stem extension (φ=1)	240	8	C2.8(C2xC6xF5)	480,1053
C₂.₉(C₂×C₆×F₅) = C₃×D₄×F₅	central stem extension (φ=1)	60	8	C2.9(C2xC6xF5)	480,1054
C₂.₁₀(C₂×C₆×F₅) = C₃×Q₈.F₅	central stem extension (φ=1)	240	8	C2.10(C2xC6xF5)	480,1055
C₂.₁₁(C₂×C₆×F₅) = C₃×Q₈×F₅	central stem extension (φ=1)	120	8	C2.11(C2xC6xF5)	480,1056
C₂.₁₂(C₂×C₆×F₅) = C₆×C₂².F₅	central stem extension (φ=1)	240		C2.12(C2xC6xF5)	480,1058
C₂.₁₃(C₂×C₆×F₅) = C₆×C₂²⋊F₅	central stem extension (φ=1)	120		C2.13(C2xC6xF5)	480,1059

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁