Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×A₄

Direct product G=N×Q with N=C₄ and Q=C₄×A₄

		d	ρ	Label	ID
A₄×C₄²		48		A4xC4^2	192,993

Semidirect products G=N:Q with N=C₄ and Q=C₄×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₄×A₄) = A₄×C₄⋊C₄	φ: C₄×A₄/C₂×A₄ → C₂ ⊆ Aut C₄	48		C4:(C4xA4)	192,995

Non-split extensions G=N.Q with N=C₄ and Q=C₄×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×A₄) = C₄○D₄⋊C₁₂	φ: C₄×A₄/C₂×A₄ → C₂ ⊆ Aut C₄	64		C4.1(C4xA4)	192,999
C₄.₂(C₄×A₄) = A₄×M₄(2)	φ: C₄×A₄/C₂×A₄ → C₂ ⊆ Aut C₄	24	6	C4.2(C4xA4)	192,1011
C₄.₃(C₄×A₄) = M₄(2).A₄	φ: C₄×A₄/C₂×A₄ → C₂ ⊆ Aut C₄	32	4	C4.3(C4xA4)	192,1013
C₄.₄(C₄×A₄) = A₄×C₁₆	central extension (φ=1)	48	3	C4.4(C4xA4)	192,203
C₄.₅(C₄×A₄) = C₁₆.A₄	central extension (φ=1)	64	2	C4.5(C4xA4)	192,204
C₄.₆(C₄×A₄) = C₄×C₄.A₄	central extension (φ=1)	64		C4.6(C4xA4)	192,997
C₄.₇(C₄×A₄) = A₄×C₂×C₈	central extension (φ=1)	48		C4.7(C4xA4)	192,1010
C₄.₈(C₄×A₄) = C₂×C₈.A₄	central extension (φ=1)	64		C4.8(C4xA4)	192,1012

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