Extensions 1→N→G→Q→1 with N=C₆₂ and Q=C₂³

Direct product G=N×Q with N=C₆₂ and Q=C₂³

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

Semidirect products G=N:Q with N=C₆₂ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₂⋊C₂³ = C₂³×D₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248		C62:C2^3	496,41

Non-split extensions G=N.Q with N=C₆₂ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₂.₁C₂³ = C₂×Dic₆₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	496		C62.1C2^3	496,27
C₆₂.₂C₂³ = C₂×C₄×D₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248		C62.2C2^3	496,28
C₆₂.₃C₂³ = C₂×D₁₂₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248		C62.3C2^3	496,29
C₆₂.₄C₂³ = D₁₂₄⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248	2	C62.4C2^3	496,30
C₆₂.₅C₂³ = D₄×D₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	124	4+	C62.5C2^3	496,31
C₆₂.₆C₂³ = D₄⋊₂D₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248	4-	C62.6C2^3	496,32
C₆₂.₇C₂³ = Q₈×D₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248	4-	C62.7C2^3	496,33
C₆₂.₈C₂³ = Q₈⋊₂D₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248	4+	C62.8C2^3	496,34
C₆₂.₉C₂³ = C₂²×Dic₃₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	496		C62.9C2^3	496,35
C₆₂.₁₀C₂³ = C₂×C₃₁⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₂	248		C62.10C2^3	496,36
C₆₂.₁₁C₂³ = D₄×C₆₂	central extension (φ=1)	248		C62.11C2^3	496,38
C₆₂.₁₂C₂³ = Q₈×C₆₂	central extension (φ=1)	496		C62.12C2^3	496,39
C₆₂.₁₃C₂³ = C₄○D₄×C₃₁	central extension (φ=1)	248	2	C62.13C2^3	496,40

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