Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃xC₃:C₈

Direct product G=NxQ with N=C₆ and Q=C₃xC₃:C₈

		d	ρ	Label	ID
C₃xC₆xC₃:C₈		144		C3xC6xC3:C8	432,469

Semidirect products G=N:Q with N=C₆ and Q=C₃xC₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃xC₃:C₈) = C₆xC₃²:₄C₈	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6:(C3xC3:C8)	432,485

Non-split extensions G=N.Q with N=C₆ and Q=C₃xC₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃xC₃:C₈) = C₃xC₉:C₁₆	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144	2	C6.1(C3xC3:C8)	432,28
C₆.₂(C₃xC₃:C₈) = He₃:₃C₁₆	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144	6	C6.2(C3xC3:C8)	432,30
C₆.₃(C₃xC₃:C₈) = C₉:C₄₈	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144	6	C6.3(C3xC3:C8)	432,31
C₆.₄(C₃xC₃:C₈) = C₆xC₉:C₈	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.4(C3xC3:C8)	432,124
C₆.₅(C₃xC₃:C₈) = C₂xHe₃:₃C₈	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.5(C3xC3:C8)	432,136
C₆.₆(C₃xC₃:C₈) = C₂xC₉:C₂₄	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.6(C3xC3:C8)	432,142
C₆.₇(C₃xC₃:C₈) = C₃xC₂₄.S₃	φ: C₃xC₃:C₈/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.7(C3xC3:C8)	432,230
C₆.₈(C₃xC₃:C₈) = C₉xC₃:C₁₆	central extension (φ=1)	144	2	C6.8(C3xC3:C8)	432,29
C₆.₉(C₃xC₃:C₈) = C₁₈xC₃:C₈	central extension (φ=1)	144		C6.9(C3xC3:C8)	432,126
C₆.₁₀(C₃xC₃:C₈) = C₃²xC₃:C₁₆	central extension (φ=1)	144		C6.10(C3xC3:C8)	432,229

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