Extensions 1→N→G→Q→1 with N=C₉⋊C₈ and Q=C₆

Direct product G=N×Q with N=C₉⋊C₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₉⋊C₈		144		C6xC9:C8	432,124

Semidirect products G=N:Q with N=C₉⋊C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈⋊₁C₆ = Dic₁₈⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊C₈	72	12-	C9:C8:1C6	432,154
C₉⋊C₈⋊₂C₆ = D₃₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊C₈	72	12+	C9:C8:2C6	432,155
C₉⋊C₈⋊₃C₆ = D₃₆.C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊C₈	72	12+	C9:C8:3C6	432,163
C₉⋊C₈⋊₄C₆ = C₇₂⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊C₈	72	6	C9:C8:4C6	432,121
C₉⋊C₈⋊₅C₆ = C₃₆.C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊C₈	72	6	C9:C8:5C6	432,143
C₉⋊C₈⋊₆C₆ = C₈×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊C₈	72	6	C9:C8:6C6	432,120
C₉⋊C₈⋊₇C₆ = C₂×C₉⋊C₂₄	φ: C₆/C₂ → C₃ ⊆ Out C₉⋊C₈	144		C9:C8:7C6	432,142
C₉⋊C₈⋊₈C₆ = C₃×D₄.D₉	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊C₈	72	4	C9:C8:8C6	432,148
C₉⋊C₈⋊₉C₆ = C₃×D₄⋊D₉	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊C₈	72	4	C9:C8:9C6	432,149
C₉⋊C₈⋊₁₀C₆ = C₃×Q₈⋊₂D₉	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊C₈	144	4	C9:C8:10C6	432,157
C₉⋊C₈⋊₁₁C₆ = C₃×C₈⋊D₉	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊C₈	144	2	C9:C8:11C6	432,106
C₉⋊C₈⋊₁₂C₆ = C₃×C₄.Dic₉	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊C₈	72	2	C9:C8:12C6	432,125
C₉⋊C₈⋊₁₃C₆ = D₉×C₂₄	φ: trivial image	144	2	C9:C8:13C6	432,105

Non-split extensions G=N.Q with N=C₉⋊C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈.C₆ = Dic₁₈.C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉⋊C₈	144	12-	C9:C8.C6	432,162
C₉⋊C₈.₂C₆ = C₃×C₉⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₉⋊C₈	144	4	C9:C8.2C6	432,156

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