Extensions 1→N→G→Q→1 with N=C₆ and Q=C₆xC₁₂

Direct product G=NxQ with N=C₆ and Q=C₆xC₁₂

		d	ρ	Label	ID
C₆²xC₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₆ and Q=C₆xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₆xC₁₂) = S₃xC₆xC₁₂	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6:1(C6xC12)	432,701
C₆:₂(C₆xC₁₂) = Dic₃xC₆²	φ: C₆xC₁₂/C₆² → C₂ ⊆ Aut C₆	144		C6:2(C6xC12)	432,708

Non-split extensions G=N.Q with N=C₆ and Q=C₆xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₆xC₁₂) = S₃xC₃xC₂₄	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.1(C6xC12)	432,464
C₆.₂(C₆xC₁₂) = C₃²xC₈:S₃	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.2(C6xC12)	432,465
C₆.₃(C₆xC₁₂) = Dic₃xC₃xC₁₂	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.3(C6xC12)	432,471
C₆.₄(C₆xC₁₂) = C₃²xDic₃:C₄	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.4(C6xC12)	432,472
C₆.₅(C₆xC₁₂) = C₃²xD₆:C₄	φ: C₆xC₁₂/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.5(C6xC12)	432,474
C₆.₆(C₆xC₁₂) = C₃xC₆xC₃:C₈	φ: C₆xC₁₂/C₆² → C₂ ⊆ Aut C₆	144		C6.6(C6xC12)	432,469
C₆.₇(C₆xC₁₂) = C₃²xC₄.Dic₃	φ: C₆xC₁₂/C₆² → C₂ ⊆ Aut C₆	72		C6.7(C6xC12)	432,470
C₆.₈(C₆xC₁₂) = C₃²xC₄:Dic₃	φ: C₆xC₁₂/C₆² → C₂ ⊆ Aut C₆	144		C6.8(C6xC12)	432,473
C₆.₉(C₆xC₁₂) = C₃²xC₆.D₄	φ: C₆xC₁₂/C₆² → C₂ ⊆ Aut C₆	72		C6.9(C6xC12)	432,479
C₆.₁₀(C₆xC₁₂) = C₄²xHe₃	central extension (φ=1)	144		C6.10(C6xC12)	432,201
C₆.₁₁(C₆xC₁₂) = C₄²x3_-¹⁺²	central extension (φ=1)	144		C6.11(C6xC12)	432,202
C₆.₁₂(C₆xC₁₂) = C₂²:C₄xC₃xC₉	central extension (φ=1)	216		C6.12(C6xC12)	432,203
C₆.₁₃(C₆xC₁₂) = C₄:C₄xC₃xC₉	central extension (φ=1)	432		C6.13(C6xC12)	432,206
C₆.₁₄(C₆xC₁₂) = C₂xC₈xHe₃	central extension (φ=1)	144		C6.14(C6xC12)	432,210
C₆.₁₅(C₆xC₁₂) = C₂xC₈x3_-¹⁺²	central extension (φ=1)	144		C6.15(C6xC12)	432,211
C₆.₁₆(C₆xC₁₂) = M₄(2)xC₃xC₉	central extension (φ=1)	216		C6.16(C6xC12)	432,212
C₆.₁₇(C₆xC₁₂) = C₂²xC₄xHe₃	central extension (φ=1)	144		C6.17(C6xC12)	432,401
C₆.₁₈(C₆xC₁₂) = C₂²xC₄x3_-¹⁺²	central extension (φ=1)	144		C6.18(C6xC12)	432,402
C₆.₁₉(C₆xC₁₂) = C₂²:C₄xC₃³	central extension (φ=1)	216		C6.19(C6xC12)	432,513
C₆.₂₀(C₆xC₁₂) = C₄:C₄xC₃³	central extension (φ=1)	432		C6.20(C6xC12)	432,514
C₆.₂₁(C₆xC₁₂) = M₄(2)xC₃³	central extension (φ=1)	216		C6.21(C6xC12)	432,516
C₆.₂₂(C₆xC₁₂) = C₂²:C₄xHe₃	central stem extension (φ=1)	72		C6.22(C6xC12)	432,204
C₆.₂₃(C₆xC₁₂) = C₂²:C₄x3_-¹⁺²	central stem extension (φ=1)	72		C6.23(C6xC12)	432,205
C₆.₂₄(C₆xC₁₂) = C₄:C₄xHe₃	central stem extension (φ=1)	144		C6.24(C6xC12)	432,207
C₆.₂₅(C₆xC₁₂) = C₄:C₄x3_-¹⁺²	central stem extension (φ=1)	144		C6.25(C6xC12)	432,208
C₆.₂₆(C₆xC₁₂) = M₄(2)xHe₃	central stem extension (φ=1)	72	6	C6.26(C6xC12)	432,213
C₆.₂₇(C₆xC₁₂) = M₄(2)x3_-¹⁺²	central stem extension (φ=1)	72	6	C6.27(C6xC12)	432,214

Extensions 1→N→G→Q→1 with N=C6 and Q=C6xC12

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₆xC₁₂