Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×C₃⋊C₈

Direct product G=N×Q with N=C₄ and Q=C₃×C₃⋊C₈

		d	ρ	Label	ID
C₁₂×C₃⋊C₈		96		C12xC3:C8	288,236

Semidirect products G=N:Q with N=C₄ and Q=C₃×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×C₃⋊C₈) = C₃×C₁₂⋊C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₄	96		C4:(C3xC3:C8)	288,238

Non-split extensions G=N.Q with N=C₄ and Q=C₃×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×C₃⋊C₈) = C₃×C₁₂.C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₄	48	2	C4.(C3xC3:C8)	288,246
C₄.₂(C₃×C₃⋊C₈) = C₃×C₃⋊C₃₂	central extension (φ=1)	96	2	C4.2(C3xC3:C8)	288,64
C₄.₃(C₃×C₃⋊C₈) = C₆×C₃⋊C₁₆	central extension (φ=1)	96		C4.3(C3xC3:C8)	288,245

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C3⋊C8