Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×SL₂(𝔽₃)

Direct product G=N×Q with N=C₄ and Q=C₂×SL₂(𝔽₃)

		d	ρ	Label	ID
C₂×C₄×SL₂(𝔽₃)		64		C2xC4xSL(2,3)	192,996

Semidirect products G=N:Q with N=C₄ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×SL₂(𝔽₃)) = D₄×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	32		C4:(C2xSL(2,3))	192,1004

Non-split extensions G=N.Q with N=C₄ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×SL₂(𝔽₃)) = Q₈×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	64		C4.(C2xSL(2,3))	192,1007
C₄.₂(C₂×SL₂(𝔽₃)) = C₈×SL₂(𝔽₃)	central extension (φ=1)	64		C4.2(C2xSL(2,3))	192,200

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×SL2(𝔽3)