Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xQ₁₆

Direct product G=NxQ with N=C₆ and Q=C₂xQ₁₆

		d	ρ	Label	ID
C₂xC₆xQ₁₆		192		C2xC6xQ16	192,1460

Semidirect products G=N:Q with N=C₆ and Q=C₂xQ₁₆

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(C₂xQ₁₆) = C₂²xDic₁₂	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6:1(C2xQ16)	192,1301
C₆:₂(C₂xQ₁₆) = C₂xS₃xQ₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6:2(C2xQ16)	192,1322
C₆:₃(C₂xQ₁₆) = C₂²xC₃:Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6:3(C2xQ16)	192,1368

Non-split extensions G=N.Q with N=C₆ and Q=C₂xQ₁₆

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(C₂xQ₁₆) = C₁₂.₁₄Q₁₆	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.1(C2xQ16)	192,240
C₆.₂(C₂xQ₁₆) = C₂₄:₈Q₈	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.2(C2xQ16)	192,241
C₆.₃(C₂xQ₁₆) = C₄xDic₁₂	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.3(C2xQ16)	192,257
C₆.₄(C₂xQ₁₆) = C₁₂:₄Q₁₆	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.4(C2xQ16)	192,258
C₆.₅(C₂xQ₁₆) = C₂³.₄₀D₁₂	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	96	C6.5(C2xQ16)	192,281
C₆.₆(C₂xQ₁₆) = Dic₆.₃₂D₄	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	96	C6.6(C2xQ16)	192,298
C₆.₇(C₂xQ₁₆) = C₄:Dic₁₂	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.7(C2xQ16)	192,408
C₆.₈(C₂xQ₁₆) = Dic₆:₃Q₈	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.8(C2xQ16)	192,409
C₆.₉(C₂xQ₁₆) = C₂xC₂.Dic₁₂	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.9(C2xQ16)	192,662
C₆.₁₀(C₂xQ₁₆) = C₂xC₂₄:₁C₄	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	192	C6.10(C2xQ16)	192,664
C₆.₁₁(C₂xQ₁₆) = C₂₄.₈₂D₄	φ: C₂xQ₁₆/C₂xC₈ → C₂ ⊆ Aut C₆	96	C6.11(C2xQ16)	192,675
C₆.₁₂(C₂xQ₁₆) = Dic₃:₄Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.12(C2xQ16)	192,349
C₆.₁₃(C₂xQ₁₆) = Dic₃.₁Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.13(C2xQ16)	192,351
C₆.₁₄(C₂xQ₁₆) = Q₈:₃Dic₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.14(C2xQ16)	192,352
C₆.₁₅(C₂xQ₁₆) = Dic₃:Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.15(C2xQ16)	192,354
C₆.₁₆(C₂xQ₁₆) = S₃xQ₈:C₄	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.16(C2xQ16)	192,360
C₆.₁₇(C₂xQ₁₆) = D₆:Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.17(C2xQ16)	192,368
C₆.₁₈(C₂xQ₁₆) = D₆.Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.18(C2xQ16)	192,370
C₆.₁₉(C₂xQ₁₆) = D₆:₁Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.19(C2xQ16)	192,372
C₆.₂₀(C₂xQ₁₆) = Dic₃:₅Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.20(C2xQ16)	192,432
C₆.₂₁(C₂xQ₁₆) = C₂₄:₂Q₈	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.21(C2xQ16)	192,433
C₆.₂₂(C₂xQ₁₆) = Dic₃.Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.22(C2xQ16)	192,434
C₆.₂₃(C₂xQ₁₆) = S₃xC₂.D₈	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.23(C2xQ16)	192,438
C₆.₂₄(C₂xQ₁₆) = D₆.₂Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.24(C2xQ16)	192,443
C₆.₂₅(C₂xQ₁₆) = D₆:₂Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.25(C2xQ16)	192,446
C₆.₂₆(C₂xQ₁₆) = Dic₃xQ₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.26(C2xQ16)	192,740
C₆.₂₇(C₂xQ₁₆) = Dic₃:₃Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.27(C2xQ16)	192,741
C₆.₂₈(C₂xQ₁₆) = C₂₄.₂₆D₄	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	192	C6.28(C2xQ16)	192,742
C₆.₂₉(C₂xQ₁₆) = D₆:₅Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.29(C2xQ16)	192,745
C₆.₃₀(C₂xQ₁₆) = D₆:₃Q₁₆	φ: C₂xQ₁₆/Q₁₆ → C₂ ⊆ Aut C₆	96	C6.30(C2xQ16)	192,747
C₆.₃₁(C₂xQ₁₆) = C₂xC₆.Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.31(C2xQ16)	192,521
C₆.₃₂(C₂xQ₁₆) = C₂xC₆.SD₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.32(C2xQ16)	192,528
C₆.₃₃(C₂xQ₁₆) = C₄:C₄.₂₃₀D₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	96	C6.33(C2xQ16)	192,529
C₆.₃₄(C₂xQ₁₆) = Q₈:₅Dic₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.34(C2xQ16)	192,580
C₆.₃₅(C₂xQ₁₆) = C₄xC₃:Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.35(C2xQ16)	192,588
C₆.₃₆(C₂xQ₁₆) = C₁₂:₇Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.36(C2xQ16)	192,590
C₆.₃₇(C₂xQ₁₆) = (C₂xC₆).Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	96	C6.37(C2xQ16)	192,603
C₆.₃₈(C₂xQ₁₆) = Dic₆.₃₇D₄	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	96	C6.38(C2xQ16)	192,609
C₆.₃₉(C₂xQ₁₆) = C₃:C₈.₂₉D₄	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	96	C6.39(C2xQ16)	192,610
C₆.₄₀(C₂xQ₁₆) = C₁₂.₁₇D₈	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.40(C2xQ16)	192,637
C₆.₄₁(C₂xQ₁₆) = C₁₂.₉Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.41(C2xQ16)	192,638
C₆.₄₂(C₂xQ₁₆) = C₁₂:Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.42(C2xQ16)	192,649
C₆.₄₃(C₂xQ₁₆) = Dic₆:₅Q₈	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.43(C2xQ16)	192,650
C₆.₄₄(C₂xQ₁₆) = C₁₂:₃Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.44(C2xQ16)	192,651
C₆.₄₅(C₂xQ₁₆) = C₁₂.Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.45(C2xQ16)	192,652
C₆.₄₆(C₂xQ₁₆) = C₂xQ₈:₂Dic₃	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	192	C6.46(C2xQ16)	192,783
C₆.₄₇(C₂xQ₁₆) = (C₂xC₆):₈Q₁₆	φ: C₂xQ₁₆/C₂xQ₈ → C₂ ⊆ Aut C₆	96	C6.47(C2xQ16)	192,787
C₆.₄₈(C₂xQ₁₆) = C₆xQ₈:C₄	central extension (φ=1)	192	C6.48(C2xQ16)	192,848
C₆.₄₉(C₂xQ₁₆) = C₆xC₂.D₈	central extension (φ=1)	192	C6.49(C2xQ16)	192,859
C₆.₅₀(C₂xQ₁₆) = C₁₂xQ₁₆	central extension (φ=1)	192	C6.50(C2xQ16)	192,872
C₆.₅₁(C₂xQ₁₆) = C₃xC₂²:Q₁₆	central extension (φ=1)	96	C6.51(C2xQ16)	192,884
C₆.₅₂(C₂xQ₁₆) = C₃xC₄:₂Q₁₆	central extension (φ=1)	192	C6.52(C2xQ16)	192,895
C₆.₅₃(C₂xQ₁₆) = C₃xC₈.₁₈D₄	central extension (φ=1)	96	C6.53(C2xQ16)	192,900
C₆.₅₄(C₂xQ₁₆) = C₃xC₄.Q₁₆	central extension (φ=1)	192	C6.54(C2xQ16)	192,910
C₆.₅₅(C₂xQ₁₆) = C₃xC₂³.₄₈D₄	central extension (φ=1)	96	C6.55(C2xQ16)	192,917
C₆.₅₆(C₂xQ₁₆) = C₃xC₄.SD₁₆	central extension (φ=1)	192	C6.56(C2xQ16)	192,920
C₆.₅₇(C₂xQ₁₆) = C₃xC₄:Q₁₆	central extension (φ=1)	192	C6.57(C2xQ16)	192,927
C₆.₅₈(C₂xQ₁₆) = C₃xC₈:₂Q₈	central extension (φ=1)	192	C6.58(C2xQ16)	192,933

Extensions 1→N→G→Q→1 with N=C6 and Q=C2xQ16

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xQ₁₆