Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₁₃:C₄

Direct product G=NxQ with N=C₂³ and Q=C₁₃:C₄

		d	ρ	Label	ID
C₂³xC₁₃:C₄		104		C2^3xC13:C4	416,233

Semidirect products G=N:Q with N=C₂³ and Q=C₁₃:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₁₃:C₄) = D₂₆.₄D₄	φ: C₁₃:C₄/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3:(C13:C4)	416,86
C₂³:₂(C₁₃:C₄) = C₂xD₁₃.D₄	φ: C₁₃:C₄/D₁₃ → C₂ ⊆ Aut C₂³	104		C2^3:2(C13:C4)	416,211

Non-split extensions G=N.Q with N=C₂³ and Q=C₁₃:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₁₃:C₄) = Dic₁₃.₄D₄	φ: C₁₃:C₄/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3.(C13:C4)	416,88
C₂³.₂(C₁₃:C₄) = C₂₆.M₄(2)	φ: C₁₃:C₄/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.2(C13:C4)	416,87
C₂³.₃(C₁₃:C₄) = C₂xC₁₃:M₄(2)	φ: C₁₃:C₄/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.3(C13:C4)	416,210
C₂³.₄(C₁₃:C₄) = C₂²xC₁₃:C₈	central extension (φ=1)	416		C2^3.4(C13:C4)	416,209

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