Extensions 1→N→G→Q→1 with N=C₂×C₆₂ and Q=C₂²

Direct product G=N×Q with N=C₂×C₆₂ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₆₂		496		C2^3xC62	496,42

Semidirect products G=N:Q with N=C₂×C₆₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆₂)⋊C₂² = D₄×D₃₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₆₂	124	4+	(C2xC62):C2^2	496,31
(C₂×C₆₂)⋊₂C₂² = D₄×C₆₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62):2C2^2	496,38
(C₂×C₆₂)⋊₃C₂² = C₂×C₃₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62):3C2^2	496,36
(C₂×C₆₂)⋊₄C₂² = C₂³×D₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62):4C2^2	496,41

Non-split extensions G=N.Q with N=C₂×C₆₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆₂).C₂² = D₄⋊₂D₃₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₆₂	248	4-	(C2xC62).C2^2	496,32
(C₂×C₆₂).₂C₂² = C₄○D₄×C₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248	2	(C2xC62).2C2^2	496,40
(C₂×C₆₂).₃C₂² = C₄×Dic₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	496		(C2xC62).3C2^2	496,10
(C₂×C₆₂).₄C₂² = Dic₃₁⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	496		(C2xC62).4C2^2	496,11
(C₂×C₆₂).₅C₂² = C₄⋊Dic₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	496		(C2xC62).5C2^2	496,12
(C₂×C₆₂).₆C₂² = D₆₂⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62).6C2^2	496,13
(C₂×C₆₂).₇C₂² = C₂³.D₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62).7C2^2	496,18
(C₂×C₆₂).₈C₂² = C₂×Dic₆₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	496		(C2xC62).8C2^2	496,27
(C₂×C₆₂).₉C₂² = C₂×C₄×D₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62).9C2^2	496,28
(C₂×C₆₂).₁₀C₂² = C₂×D₁₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248		(C2xC62).10C2^2	496,29
(C₂×C₆₂).₁₁C₂² = D₁₂₄⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	248	2	(C2xC62).11C2^2	496,30
(C₂×C₆₂).₁₂C₂² = C₂²×Dic₃₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆₂	496		(C2xC62).12C2^2	496,35
(C₂×C₆₂).₁₃C₂² = C₂²⋊C₄×C₃₁	central extension (φ=1)	248		(C2xC62).13C2^2	496,20
(C₂×C₆₂).₁₄C₂² = C₄⋊C₄×C₃₁	central extension (φ=1)	496		(C2xC62).14C2^2	496,21
(C₂×C₆₂).₁₅C₂² = Q₈×C₆₂	central extension (φ=1)	496		(C2xC62).15C2^2	496,39

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