Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃xS₄

Direct product G=NxQ with N=C₆ and Q=C₃xS₄

		d	ρ	Label	ID
C₃xC₆xS₄		54		C3xC6xS4	432,760

Semidirect products G=N:Q with N=C₆ and Q=C₃xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃xS₄) = C₆xC₃:S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	36	6	C6:(C3xS4)	432,761

Non-split extensions G=N.Q with N=C₆ and Q=C₃xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃xS₄) = C₃².CSU₂(F₃)	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	144	12-	C6.1(C3xS4)	432,243
C₆.₂(C₃xS₄) = C₃xQ₈.D₉	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	144	4	C6.2(C3xS4)	432,244
C₆.₃(C₃xS₄) = C₃².GL₂(F₃)	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	72	12+	C6.3(C3xS4)	432,245
C₆.₄(C₃xS₄) = C₃xQ₈:D₉	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	144	4	C6.4(C3xS4)	432,246
C₆.₅(C₃xS₄) = C₃²:CSU₂(F₃)	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	144	12-	C6.5(C3xS4)	432,247
C₆.₆(C₃xS₄) = C₃²:₂GL₂(F₃)	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	72	12+	C6.6(C3xS4)	432,248
C₆.₇(C₃xS₄) = C₆².Dic₃	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	36	6-	C6.7(C3xS4)	432,249
C₆.₈(C₃xS₄) = C₃xC₆.S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	36	6	C6.8(C3xS4)	432,250
C₆.₉(C₃xS₄) = C₆²:₅Dic₃	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	36	6-	C6.9(C3xS4)	432,251
C₆.₁₀(C₃xS₄) = C₂xC₃².S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	18	6+	C6.10(C3xS4)	432,533
C₆.₁₁(C₃xS₄) = C₆xC₃.S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	36	6	C6.11(C3xS4)	432,534
C₆.₁₂(C₃xS₄) = C₂xC₆²:S₃	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	18	6+	C6.12(C3xS4)	432,535
C₆.₁₃(C₃xS₄) = C₃xC₆.₅S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	48	4	C6.13(C3xS4)	432,616
C₆.₁₄(C₃xS₄) = C₃xC₆.₆S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	48	4	C6.14(C3xS4)	432,617
C₆.₁₅(C₃xS₄) = C₃xC₆.₇S₄	φ: C₃xS₄/C₃xA₄ → C₂ ⊆ Aut C₆	36	6	C6.15(C3xS4)	432,618
C₆.₁₆(C₃xS₄) = C₉xCSU₂(F₃)	central extension (φ=1)	144	2	C6.16(C3xS4)	432,240
C₆.₁₇(C₃xS₄) = C₉xGL₂(F₃)	central extension (φ=1)	72	2	C6.17(C3xS4)	432,241
C₆.₁₈(C₃xS₄) = C₉xA₄:C₄	central extension (φ=1)	108	3	C6.18(C3xS4)	432,242
C₆.₁₉(C₃xS₄) = C₁₈xS₄	central extension (φ=1)	54	3	C6.19(C3xS4)	432,532
C₆.₂₀(C₃xS₄) = C₃²xCSU₂(F₃)	central extension (φ=1)	144		C6.20(C3xS4)	432,613
C₆.₂₁(C₃xS₄) = C₃²xGL₂(F₃)	central extension (φ=1)	72		C6.21(C3xS4)	432,614
C₆.₂₂(C₃xS₄) = C₃²xA₄:C₄	central extension (φ=1)	108		C6.22(C3xS4)	432,615

Extensions 1→N→G→Q→1 with N=C6 and Q=C3xS4

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃xS₄