Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₆₂

Direct product G=N×Q with N=C₂×C₄ and Q=C₆₂

		d	ρ	Label	ID
C₂²×C₁₂₄		496		C2^2xC124	496,37

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₆₂ = C₂²⋊C₄×C₃₁	φ: C₆₂/C₃₁ → C₂ ⊆ Aut C₂×C₄	248		(C2xC4):1C62	496,20
(C₂×C₄)⋊₂C₆₂ = D₄×C₆₂	φ: C₆₂/C₃₁ → C₂ ⊆ Aut C₂×C₄	248		(C2xC4):2C62	496,38
(C₂×C₄)⋊₃C₆₂ = C₄○D₄×C₃₁	φ: C₆₂/C₃₁ → C₂ ⊆ Aut C₂×C₄	248	2	(C2xC4):3C62	496,40

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₆₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₆₂ = C₄⋊C₄×C₃₁	φ: C₆₂/C₃₁ → C₂ ⊆ Aut C₂×C₄	496		(C2xC4).1C62	496,21
(C₂×C₄).₂C₆₂ = M₄(2)×C₃₁	φ: C₆₂/C₃₁ → C₂ ⊆ Aut C₂×C₄	248	2	(C2xC4).2C62	496,23
(C₂×C₄).₃C₆₂ = Q₈×C₆₂	φ: C₆₂/C₃₁ → C₂ ⊆ Aut C₂×C₄	496		(C2xC4).3C62	496,39

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C62