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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₈ = C₂×F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃×C₆	18	8+	(C3xC6):C8	144,185
(C₃×C₆)⋊₂C₈ = C₂×C₃²⋊₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃×C₆	48		(C3xC6):2C8	144,134
(C₃×C₆)⋊₃C₈ = C₆×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₆	48		(C3xC6):3C8	144,74
(C₃×C₆)⋊₄C₈ = C₂×C₃²⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₆	144		(C3xC6):4C8	144,90

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).C₈ = C₂.F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃×C₆	48	8-	(C3xC6).C8	144,114
(C₃×C₆).₂C₈ = C₃²⋊₂C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₃×C₆	48	4	(C3xC6).2C8	144,51
(C₃×C₆).₃C₈ = C₃×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₆	48	2	(C3xC6).3C8	144,28
(C₃×C₆).₄C₈ = C₂₄.S₃	φ: C₈/C₄ → C₂ ⊆ Aut C₃×C₆	144		(C3xC6).4C8	144,29

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