Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₆²

Direct product G=NxQ with N=C₆ and Q=C₂xC₆²

		d	ρ	Label	ID
C₂xC₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xC₆²) = S₃xC₂xC₆²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6:(C2xC6^2)	432,772

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₆²) = C₃xC₆xDic₆	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6.1(C2xC6^2)	432,700
C₆.₂(C₂xC₆²) = S₃xC₆xC₁₂	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6.2(C2xC6^2)	432,701
C₆.₃(C₂xC₆²) = C₃xC₆xD₁₂	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6.3(C2xC6^2)	432,702
C₆.₄(C₂xC₆²) = C₃²xC₄oD₁₂	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	72		C6.4(C2xC6^2)	432,703
C₆.₅(C₂xC₆²) = S₃xD₄xC₃²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	72		C6.5(C2xC6^2)	432,704
C₆.₆(C₂xC₆²) = C₃²xD₄:₂S₃	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	72		C6.6(C2xC6^2)	432,705
C₆.₇(C₂xC₆²) = S₃xQ₈xC₃²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6.7(C2xC6^2)	432,706
C₆.₈(C₂xC₆²) = C₃²xQ₈:₃S₃	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6.8(C2xC6^2)	432,707
C₆.₉(C₂xC₆²) = Dic₃xC₆²	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	144		C6.9(C2xC6^2)	432,708
C₆.₁₀(C₂xC₆²) = C₃xC₆xC₃:D₄	φ: C₂xC₆²/C₆² → C₂ ⊆ Aut C₆	72		C6.10(C2xC6^2)	432,709
C₆.₁₁(C₂xC₆²) = C₂²xC₄xHe₃	central extension (φ=1)	144		C6.11(C2xC6^2)	432,401
C₆.₁₂(C₂xC₆²) = C₂²xC₄x3_-¹⁺²	central extension (φ=1)	144		C6.12(C2xC6^2)	432,402
C₆.₁₃(C₂xC₆²) = D₄xC₃xC₁₈	central extension (φ=1)	216		C6.13(C2xC6^2)	432,403
C₆.₁₄(C₂xC₆²) = Q₈xC₃xC₁₈	central extension (φ=1)	432		C6.14(C2xC6^2)	432,406
C₆.₁₅(C₂xC₆²) = C₄oD₄xC₃xC₉	central extension (φ=1)	216		C6.15(C2xC6^2)	432,409
C₆.₁₆(C₂xC₆²) = C₂⁴xHe₃	central extension (φ=1)	144		C6.16(C2xC6^2)	432,563
C₆.₁₇(C₂xC₆²) = C₂⁴x3_-¹⁺²	central extension (φ=1)	144		C6.17(C2xC6^2)	432,564
C₆.₁₈(C₂xC₆²) = D₄xC₃²xC₆	central extension (φ=1)	216		C6.18(C2xC6^2)	432,731
C₆.₁₉(C₂xC₆²) = Q₈xC₃²xC₆	central extension (φ=1)	432		C6.19(C2xC6^2)	432,732
C₆.₂₀(C₂xC₆²) = C₄oD₄xC₃³	central extension (φ=1)	216		C6.20(C2xC6^2)	432,733
C₆.₂₁(C₂xC₆²) = C₂xD₄xHe₃	central stem extension (φ=1)	72		C6.21(C2xC6^2)	432,404
C₆.₂₂(C₂xC₆²) = C₂xD₄x3_-¹⁺²	central stem extension (φ=1)	72		C6.22(C2xC6^2)	432,405
C₆.₂₃(C₂xC₆²) = C₂xQ₈xHe₃	central stem extension (φ=1)	144		C6.23(C2xC6^2)	432,407
C₆.₂₄(C₂xC₆²) = C₂xQ₈x3_-¹⁺²	central stem extension (φ=1)	144		C6.24(C2xC6^2)	432,408
C₆.₂₅(C₂xC₆²) = C₄oD₄xHe₃	central stem extension (φ=1)	72	6	C6.25(C2xC6^2)	432,410
C₆.₂₆(C₂xC₆²) = C₄oD₄x3_-¹⁺²	central stem extension (φ=1)	72	6	C6.26(C2xC6^2)	432,411

Extensions 1→N→G→Q→1 with N=C6 and Q=C2xC62

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₆²