Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×C₆

Direct product G=N×Q with N=C₈ and Q=C₃×C₆

		d	ρ	Label	ID
C₆×C₂₄		144		C6xC24	144,104

Semidirect products G=N:Q with N=C₈ and Q=C₃×C₆

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₃×C₆) = C₃²×D₈	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₈	72	C8:1(C3xC6)	144,106
C₈⋊₂(C₃×C₆) = C₃²×SD₁₆	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₈	72	C8:2(C3xC6)	144,107
C₈⋊₃(C₃×C₆) = C₃²×M₄(2)	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₈	72	C8:3(C3xC6)	144,105

Non-split extensions G=N.Q with N=C₈ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₃×C₆) = C₃²×Q₁₆	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₈	144		C8.(C3xC6)	144,108

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Extensions 1→N→G→Q→1 with N=C8 and Q=C3×C6