Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₆

Direct product G=N×Q with N=C₄ and Q=C₂×C₆

		d	ρ	Label	ID
C₂²×C₁₂		48		C2^2xC12	48,44

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₆) = C₆×D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₄	24		C4:(C2xC6)	48,45

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₆) = C₃×D₈	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₄	24	2	C4.1(C2xC6)	48,25
C₄.₂(C₂×C₆) = C₃×SD₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₄	24	2	C4.2(C2xC6)	48,26
C₄.₃(C₂×C₆) = C₃×Q₁₆	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₄	48	2	C4.3(C2xC6)	48,27
C₄.₄(C₂×C₆) = C₆×Q₈	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₄	48		C4.4(C2xC6)	48,46
C₄.₅(C₂×C₆) = C₃×C₄○D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₄	24	2	C4.5(C2xC6)	48,47
C₄.₆(C₂×C₆) = C₃×M₄(2)	central extension (φ=1)	24	2	C4.6(C2xC6)	48,24

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