Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:₇Q₁₆

Direct product G=NxQ with N=C₃ and Q=C₃²:₇Q₁₆

		d	ρ	Label	ID
C₃xC₃²:₇Q₁₆		144		C3xC3^2:7Q16	432,494

Semidirect products G=N:Q with N=C₃ and Q=C₃²:₇Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₃²:₇Q₁₆) = C₃³:₇Q₁₆	φ: C₃²:₇Q₁₆/C₃²:₄C₈ → C₂ ⊆ Aut C₃	144	C3:1(C3^2:7Q16)	432,446
C₃:₂(C₃²:₇Q₁₆) = C₃³:₆Q₁₆	φ: C₃²:₇Q₁₆/C₃²:₄Q₈ → C₂ ⊆ Aut C₃	144	C3:2(C3^2:7Q16)	432,445
C₃:₃(C₃²:₇Q₁₆) = C₃³:₁₅Q₁₆	φ: C₃²:₇Q₁₆/Q₈xC₃² → C₂ ⊆ Aut C₃	432	C3:3(C3^2:7Q16)	432,510

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:₇Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²:₇Q₁₆) = C₃₆.₁₉D₆	φ: C₃²:₇Q₁₆/Q₈xC₃² → C₂ ⊆ Aut C₃	432		C3.(C3^2:7Q16)	432,194
C₃.₂(C₃²:₇Q₁₆) = He₃:₇Q₁₆	central stem extension (φ=1)	144	6	C3.2(C3^2:7Q16)	432,197

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:7Q16