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

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

		d	ρ	Label	ID
C₂×C₆×F₅		60		C2xC6xF5	240,200

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₆×F₅) = C₃×D₅⋊C₈	central extension (φ=1)	120	4	C2.1(C6xF5)	240,111
C₂.₂(C₆×F₅) = C₁₂×F₅	central extension (φ=1)	60	4	C2.2(C6xF5)	240,113
C₂.₃(C₆×F₅) = C₆×C₅⋊C₈	central extension (φ=1)	240		C2.3(C6xF5)	240,115
C₂.₄(C₆×F₅) = C₃×C₄.F₅	central stem extension (φ=1)	120	4	C2.4(C6xF5)	240,112
C₂.₅(C₆×F₅) = C₃×C₄⋊F₅	central stem extension (φ=1)	60	4	C2.5(C6xF5)	240,114
C₂.₆(C₆×F₅) = C₃×C₂².F₅	central stem extension (φ=1)	120	4	C2.6(C6xF5)	240,116
C₂.₇(C₆×F₅) = C₃×C₂²⋊F₅	central stem extension (φ=1)	60	4	C2.7(C6xF5)	240,117

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁