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

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

		d	ρ	Label	ID
C₃×C₆×C₃⋊C₈		144		C3xC6xC3:C8	432,469

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×C₃⋊C₈) = C₆×C₃²⋊₄C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6:(C3xC3:C8)	432,485

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×C₃⋊C₈) = C₃×C₉⋊C₁₆	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144	2	C6.1(C3xC3:C8)	432,28
C₆.₂(C₃×C₃⋊C₈) = He₃⋊₃C₁₆	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144	6	C6.2(C3xC3:C8)	432,30
C₆.₃(C₃×C₃⋊C₈) = C₉⋊C₄₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144	6	C6.3(C3xC3:C8)	432,31
C₆.₄(C₃×C₃⋊C₈) = C₆×C₉⋊C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6.4(C3xC3:C8)	432,124
C₆.₅(C₃×C₃⋊C₈) = C₂×He₃⋊₃C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6.5(C3xC3:C8)	432,136
C₆.₆(C₃×C₃⋊C₈) = C₂×C₉⋊C₂₄	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6.6(C3xC3:C8)	432,142
C₆.₇(C₃×C₃⋊C₈) = C₃×C₂₄.S₃	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6.7(C3xC3:C8)	432,230
C₆.₈(C₃×C₃⋊C₈) = C₉×C₃⋊C₁₆	central extension (φ=1)	144	2	C6.8(C3xC3:C8)	432,29
C₆.₉(C₃×C₃⋊C₈) = C₁₈×C₃⋊C₈	central extension (φ=1)	144		C6.9(C3xC3:C8)	432,126
C₆.₁₀(C₃×C₃⋊C₈) = C₃²×C₃⋊C₁₆	central extension (φ=1)	144		C6.10(C3xC3:C8)	432,229

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