Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃⋊C₁₆

Direct product G=N×Q with N=C₂² and Q=C₃⋊C₁₆

		d	ρ	Label	ID
C₂²×C₃⋊C₁₆		192		C2^2xC3:C16	192,655

Semidirect products G=N:Q with N=C₂² and Q=C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃⋊C₁₆) = A₄⋊C₁₆	φ: C₃⋊C₁₆/C₈ → S₃ ⊆ Aut C₂²	48	3	C2^2:(C3:C16)	192,186
C₂²⋊₂(C₃⋊C₁₆) = C₂₄.₉₈D₄	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₂²	96		C2^2:2(C3:C16)	192,108

Non-split extensions G=N.Q with N=C₂² and Q=C₃⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃⋊C₁₆) = C₃⋊M₆(2)	φ: C₃⋊C₁₆/C₂₄ → C₂ ⊆ Aut C₂²	96	2	C2^2.(C3:C16)	192,58
C₂².₂(C₃⋊C₁₆) = C₂×C₃⋊C₃₂	central extension (φ=1)	192		C2^2.2(C3:C16)	192,57

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3⋊C16