Extensions 1→N→G→Q→1 with N=C₄ and Q=D₃₃

Direct product G=N×Q with N=C₄ and Q=D₃₃

		d	ρ	Label	ID
C₄×D₃₃		132	2	C4xD33	264,24

Semidirect products G=N:Q with N=C₄ and Q=D₃₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₃₃ = D₁₃₂	φ: D₃₃/C₃₃ → C₂ ⊆ Aut C₄	132	2+	C4:D33	264,25

Non-split extensions G=N.Q with N=C₄ and Q=D₃₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₃₃ = Dic₆₆	φ: D₃₃/C₃₃ → C₂ ⊆ Aut C₄	264	2-	C4.D33	264,23
C₄.₂D₃₃ = C₃₃⋊C₈	central extension (φ=1)	264	2	C4.2D33	264,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=D33