Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₅D₄

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₅D₄

		d	ρ	Label	ID
C₃×C₂³.₂₅D₄		96		C3xC2^3.25D4	192,860

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₅D₄) = (S₃×C₈)⋊C₄	φ: C₂³.₂₅D₄/C₄.Q₈ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.25D4)	192,419
C₃⋊₂(C₂³.₂₅D₄) = C₈.₂₇(C₄×S₃)	φ: C₂³.₂₅D₄/C₂.D₈ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.25D4)	192,439
C₃⋊₃(C₂³.₂₅D₄) = C₄⋊C₄.₂₃₄D₆	φ: C₂³.₂₅D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.25D4)	192,557
C₃⋊₄(C₂³.₂₅D₄) = C₂³.₂₇D₁₂	φ: C₂³.₂₅D₄/C₂²×C₈ → C₂ ⊆ Aut C₃	96		C3:4(C2^3.25D4)	192,665

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