Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.C₄²

Direct product G=N×Q with N=C₃ and Q=C₆.C₄²

		d	ρ	Label	ID
C₃×C₆.C₄²		96		C3xC6.C4^2	288,265

Semidirect products G=N:Q with N=C₃ and Q=C₆.C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆.C₄²) = C₆².₆Q₈	φ: C₆.C₄²/C₂²×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C6.C4^2)	288,227
C₃⋊₂(C₆.C₄²) = C₆².₁₅Q₈	φ: C₆.C₄²/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3:2(C6.C4^2)	288,306

Non-split extensions G=N.Q with N=C₃ and Q=C₆.C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆.C₄²) = C₁₈.C₄²	φ: C₆.C₄²/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C6.C4^2)	288,38

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.C42