Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₁₉⋊C₃

Direct product G=N×Q with N=C₄ and Q=C₂×C₁₉⋊C₃

		d	ρ	Label	ID
C₂×C₄×C₁₉⋊C₃		152		C2xC4xC19:C3	456,19

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₁₉⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₁₉⋊C₃) = D₄×C₁₉⋊C₃	φ: C₂×C₁₉⋊C₃/C₁₉⋊C₃ → C₂ ⊆ Aut C₄	76	6	C4:(C2xC19:C3)	456,20

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₁₉⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×C₁₉⋊C₃) = Q₈×C₁₉⋊C₃	φ: C₂×C₁₉⋊C₃/C₁₉⋊C₃ → C₂ ⊆ Aut C₄	152	6	C4.(C2xC19:C3)	456,21
C₄.₂(C₂×C₁₉⋊C₃) = C₈×C₁₉⋊C₃	central extension (φ=1)	152	3	C4.2(C2xC19:C3)	456,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C19⋊C3