Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₆

Direct product G=N×Q with N=C₂² and Q=C₂×C₆

		d	ρ	Label	ID
C₂³×C₆		48		C2^3xC6	48,52

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₆) = C₂²×A₄	φ: C₂×C₆/C₂² → C₃ ⊆ Aut C₂²	12		C2^2:(C2xC6)	48,49
C₂²⋊₂(C₂×C₆) = C₆×D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₂²	24		C2^2:2(C2xC6)	48,45

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₆) = C₃×C₄○D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₂²	24	2	C2^2.(C2xC6)	48,47
C₂².₂(C₂×C₆) = C₃×C₂²⋊C₄	central extension (φ=1)	24		C2^2.2(C2xC6)	48,21
C₂².₃(C₂×C₆) = C₃×C₄⋊C₄	central extension (φ=1)	48		C2^2.3(C2xC6)	48,22
C₂².₄(C₂×C₆) = C₆×Q₈	central extension (φ=1)	48		C2^2.4(C2xC6)	48,46

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