Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₄²

Direct product G=NxQ with N=C₃xC₆ and Q=C₄²

		d	ρ	Label	ID
C₂xC₁₂²		288		C2xC12^2	288,811

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₄²

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₆):₁C₄² = C₂xC₄xC₃²:C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃xC₆	48	(C3xC6):1C4^2	288,932
(C₃xC₆):₂C₄² = C₂xDic₃²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃xC₆	96	(C3xC6):2C4^2	288,602
(C₃xC₆):₃C₄² = Dic₃xC₂xC₁₂	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6):3C4^2	288,693
(C₃xC₆):₄C₄² = C₂xC₄xC₃:Dic₃	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288	(C3xC6):4C4^2	288,779

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁C₄² = C₈xC₃²:C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).1C4^2	288,414
(C₃xC₆).₂C₄² = (C₃xC₂₄):C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).2C4^2	288,415
(C₃xC₆).₃C₄² = C₄xC₃²:₂C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₃xC₆	96		(C3xC6).3C4^2	288,423
(C₃xC₆).₄C₄² = C₃²:₂C₈:C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃xC₆	96		(C3xC6).4C4^2	288,425
(C₃xC₆).₅C₄² = (C₆xC₁₂):₂C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃xC₆	48		(C3xC6).5C4^2	288,429
(C₃xC₆).₆C₄² = Dic₃xC₃:C₈	φ: C₄²/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).6C4^2	288,200
(C₃xC₆).₇C₄² = C₆.(S₃xC₈)	φ: C₄²/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).7C4^2	288,201
(C₃xC₆).₈C₄² = C₃:C₈:Dic₃	φ: C₄²/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).8C4^2	288,202
(C₃xC₆).₉C₄² = C₂.Dic₃²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).9C4^2	288,203
(C₃xC₆).₁₀C₄² = C₆².₆Q₈	φ: C₄²/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).10C4^2	288,227
(C₃xC₆).₁₁C₄² = C₁₂xC₃:C₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).11C4^2	288,236
(C₃xC₆).₁₂C₄² = C₃xC₄².S₃	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).12C4^2	288,237
(C₃xC₆).₁₃C₄² = Dic₃xC₂₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).13C4^2	288,247
(C₃xC₆).₁₄C₄² = C₃xC₂₄:C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).14C4^2	288,249
(C₃xC₆).₁₅C₄² = C₃xC₆.C₄²	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).15C4^2	288,265
(C₃xC₆).₁₆C₄² = C₄xC₃²:₄C₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).16C4^2	288,277
(C₃xC₆).₁₇C₄² = C₁₂².C₂	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).17C4^2	288,278
(C₃xC₆).₁₈C₄² = C₈xC₃:Dic₃	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).18C4^2	288,288
(C₃xC₆).₁₉C₄² = C₂₄:Dic₃	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).19C4^2	288,290
(C₃xC₆).₂₀C₄² = C₆².₁₅Q₈	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).20C4^2	288,306
(C₃xC₆).₂₁C₄² = C₃²xC₂.C₄²	central extension (φ=1)	288		(C3xC6).21C4^2	288,313
(C₃xC₆).₂₂C₄² = C₃²xC₈:C₄	central extension (φ=1)	288		(C3xC6).22C4^2	288,315

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C42

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₄²