Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=M₄(2)

Direct product G=NxQ with N=C₃xC₆ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)xC₃xC₆		144		M4(2)xC3xC6	288,827

Semidirect products G=N:Q with N=C₃xC₆ and Q=M₄(2)

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₆):₁M₄(2) = C₂xC₃²:M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₃xC₆	48	(C3xC6):1M4(2)	288,930
(C₃xC₆):₂M₄(2) = C₂xD₆.Dic₃	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	96	(C3xC6):2M4(2)	288,467
(C₃xC₆):₃M₄(2) = C₂xC₁₂.₃₁D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	48	(C3xC6):3M4(2)	288,468
(C₃xC₆):₄M₄(2) = C₂xC₆².C₄	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃xC₆	48	(C3xC6):4M4(2)	288,940
(C₃xC₆):₅M₄(2) = C₆xC₈:S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6):5M4(2)	288,671
(C₃xC₆):₆M₄(2) = C₂xC₂₄:S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):6M4(2)	288,757
(C₃xC₆):₇M₄(2) = C₆xC₄.Dic₃	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	48	(C3xC6):7M4(2)	288,692
(C₃xC₆):₈M₄(2) = C₂xC₁₂.₅₈D₆	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):8M4(2)	288,778

Non-split extensions G=N.Q with N=C₃xC₆ and Q=M₄(2)

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₆).₁M₄(2) = (C₃xC₁₂):₄C₈	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₃xC₆	96	(C3xC6).1M4(2)	288,424
(C₃xC₆).₂M₄(2) = C₆².₆(C₂xC₄)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₃xC₆	48	(C3xC6).2M4(2)	288,426
(C₃xC₆).₃M₄(2) = C₃:C₈:Dic₃	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	96	(C3xC6).3M4(2)	288,202
(C₃xC₆).₄M₄(2) = C₂.Dic₃²	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	96	(C3xC6).4M4(2)	288,203
(C₃xC₆).₅M₄(2) = C₁₂.₇₇D₁₂	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	96	(C3xC6).5M4(2)	288,204
(C₃xC₆).₆M₄(2) = C₁₂.₇₈D₁₂	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	48	(C3xC6).6M4(2)	288,205
(C₃xC₆).₇M₄(2) = C₁₂.₈₁D₁₂	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	96	(C3xC6).7M4(2)	288,219
(C₃xC₆).₈M₄(2) = C₁₂.₁₅Dic₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃xC₆	96	(C3xC6).8M4(2)	288,220
(C₃xC₆).₉M₄(2) = C₃²:₂C₈:C₄	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃xC₆	96	(C3xC6).9M4(2)	288,425
(C₃xC₆).₁₀M₄(2) = C₃²:₅(C₄:C₈)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃xC₆	96	(C3xC6).10M4(2)	288,427
(C₃xC₆).₁₁M₄(2) = C₆²:₃C₈	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃xC₆	48	(C3xC6).11M4(2)	288,435
(C₃xC₆).₁₂M₄(2) = C₃xDic₃:C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6).12M4(2)	288,248
(C₃xC₆).₁₃M₄(2) = C₃xC₂₄:C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6).13M4(2)	288,249
(C₃xC₆).₁₄M₄(2) = C₃xD₆:C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6).14M4(2)	288,254
(C₃xC₆).₁₅M₄(2) = C₁₂.₃₀Dic₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	288	(C3xC6).15M4(2)	288,289
(C₃xC₆).₁₆M₄(2) = C₂₄:Dic₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	288	(C3xC6).16M4(2)	288,290
(C₃xC₆).₁₇M₄(2) = C₁₂.₆₀D₁₂	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6).17M4(2)	288,295
(C₃xC₆).₁₈M₄(2) = C₃xC₄².S₃	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6).18M4(2)	288,237
(C₃xC₆).₁₉M₄(2) = C₃xC₁₂:C₈	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6).19M4(2)	288,238
(C₃xC₆).₂₀M₄(2) = C₃xC₁₂.₅₅D₄	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	48	(C3xC6).20M4(2)	288,264
(C₃xC₆).₂₁M₄(2) = C₁₂².C₂	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288	(C3xC6).21M4(2)	288,278
(C₃xC₆).₂₂M₄(2) = C₁₂.₅₇D₁₂	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288	(C3xC6).22M4(2)	288,279
(C₃xC₆).₂₃M₄(2) = C₆²:₇C₈	φ: M₄(2)/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6).23M4(2)	288,305
(C₃xC₆).₂₄M₄(2) = C₃²xC₈:C₄	central extension (φ=1)	288	(C3xC6).24M4(2)	288,315
(C₃xC₆).₂₅M₄(2) = C₃²xC₂²:C₈	central extension (φ=1)	144	(C3xC6).25M4(2)	288,316
(C₃xC₆).₂₆M₄(2) = C₃²xC₄:C₈	central extension (φ=1)	288	(C3xC6).26M4(2)	288,323

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=M4(2)

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=M₄(2)