Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃:S₄

Direct product G=NxQ with N=C₆ and Q=C₃:S₄

		d	ρ	Label	ID
C₆xC₃:S₄		36	6	C6xC3:S4	432,761

Semidirect products G=N:Q with N=C₆ and Q=C₃:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃:S₄) = C₂xC₃²:₄S₄	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	54		C6:(C3:S4)	432,762

Non-split extensions G=N.Q with N=C₆ and Q=C₃:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃:S₄) = C₁₈.₅S₄	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	144	4-	C6.1(C3:S4)	432,252
C₆.₂(C₃:S₄) = C₁₈.₆S₄	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	72	4+	C6.2(C3:S4)	432,253
C₆.₃(C₃:S₄) = A₄:Dic₉	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	108	6-	C6.3(C3:S4)	432,254
C₆.₄(C₃:S₄) = C₃².₃CSU₂(F₃)	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	432		C6.4(C3:S4)	432,255
C₆.₅(C₃:S₄) = C₃².₃GL₂(F₃)	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	216		C6.5(C3:S4)	432,256
C₆.₆(C₃:S₄) = C₆².₁₀Dic₃	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	108		C6.6(C3:S4)	432,259
C₆.₇(C₃:S₄) = C₂xC₉:S₄	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	54	6+	C6.7(C3:S4)	432,536
C₆.₈(C₃:S₄) = C₂xC₃².₃S₄	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	54		C6.8(C3:S4)	432,537
C₆.₉(C₃:S₄) = C₃²:₄CSU₂(F₃)	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	144		C6.9(C3:S4)	432,619
C₆.₁₀(C₃:S₄) = C₃²:₅GL₂(F₃)	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	72		C6.10(C3:S4)	432,620
C₆.₁₁(C₃:S₄) = C₆²:₁₀Dic₃	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₆	108		C6.11(C3:S4)	432,621
C₆.₁₂(C₃:S₄) = C₆²:₆Dic₃	central extension (φ=1)	36	3	C6.12(C3:S4)	432,260
C₆.₁₃(C₃:S₄) = C₂xC₃²:S₄	central extension (φ=1)	18	3	C6.13(C3:S4)	432,538
C₆.₁₄(C₃:S₄) = C₃xC₆.₅S₄	central extension (φ=1)	48	4	C6.14(C3:S4)	432,616
C₆.₁₅(C₃:S₄) = C₃xC₆.₆S₄	central extension (φ=1)	48	4	C6.15(C3:S4)	432,617
C₆.₁₆(C₃:S₄) = C₃xC₆.₇S₄	central extension (φ=1)	36	6	C6.16(C3:S4)	432,618
C₆.₁₇(C₃:S₄) = C₃²:₂CSU₂(F₃)	central stem extension (φ=1)	144	6	C6.17(C3:S4)	432,257
C₆.₁₈(C₃:S₄) = C₃²:₃GL₂(F₃)	central stem extension (φ=1)	72	6	C6.18(C3:S4)	432,258

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