Extensions 1→N→G→Q→1 with N=C₂ and Q=D₅×C₂×C₆

Direct product G=N×Q with N=C₂ and Q=D₅×C₂×C₆

		d	ρ	Label	ID
D₅×C₂²×C₆		120		D5xC2^2xC6	240,205

Non-split extensions G=N.Q with N=C₂ and Q=D₅×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₅×C₂×C₆) = D₅×C₂×C₁₂	central extension (φ=1)	120		C2.1(D5xC2xC6)	240,156
C₂.₂(D₅×C₂×C₆) = C₂×C₆×Dic₅	central extension (φ=1)	240		C2.2(D5xC2xC6)	240,163
C₂.₃(D₅×C₂×C₆) = C₆×Dic₁₀	central stem extension (φ=1)	240		C2.3(D5xC2xC6)	240,155
C₂.₄(D₅×C₂×C₆) = C₆×D₂₀	central stem extension (φ=1)	120		C2.4(D5xC2xC6)	240,157
C₂.₅(D₅×C₂×C₆) = C₃×C₄○D₂₀	central stem extension (φ=1)	120	2	C2.5(D5xC2xC6)	240,158
C₂.₆(D₅×C₂×C₆) = C₃×D₄×D₅	central stem extension (φ=1)	60	4	C2.6(D5xC2xC6)	240,159
C₂.₇(D₅×C₂×C₆) = C₃×D₄⋊₂D₅	central stem extension (φ=1)	120	4	C2.7(D5xC2xC6)	240,160
C₂.₈(D₅×C₂×C₆) = C₃×Q₈×D₅	central stem extension (φ=1)	120	4	C2.8(D5xC2xC6)	240,161
C₂.₉(D₅×C₂×C₆) = C₃×Q₈⋊₂D₅	central stem extension (φ=1)	120	4	C2.9(D5xC2xC6)	240,162
C₂.₁₀(D₅×C₂×C₆) = C₆×C₅⋊D₄	central stem extension (φ=1)	120		C2.10(D5xC2xC6)	240,164

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁