Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₃×C₆

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₃×C₆

		d	ρ	Label	ID
C₂×C₆×C₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊(C₃×C₆) = C₃×D₅×A₄	φ: C₃×C₆/C₃ → C₆ ⊆ Aut C₂×C₁₀	60	6	(C2xC10):(C3xC6)	360,142
(C₂×C₁₀)⋊₂(C₃×C₆) = A₄×C₃₀	φ: C₃×C₆/C₆ → C₃ ⊆ Aut C₂×C₁₀	90	3	(C2xC10):2(C3xC6)	360,156
(C₂×C₁₀)⋊₃(C₃×C₆) = D₄×C₃×C₁₅	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂×C₁₀	180		(C2xC10):3(C3xC6)	360,116
(C₂×C₁₀)⋊₄(C₃×C₆) = C₃²×C₅⋊D₄	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂×C₁₀	180		(C2xC10):4(C3xC6)	360,94
(C₂×C₁₀)⋊₅(C₃×C₆) = D₅×C₆²	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂×C₁₀	180		(C2xC10):5(C3xC6)	360,157

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).(C₃×C₆) = C₃×C₆×Dic₅	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂×C₁₀	360		(C2xC10).(C3xC6)	360,93

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁