Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈:₃S₃

Direct product G=NxQ with N=C₂² and Q=Q₈:₃S₃

		d	ρ	Label	ID
C₂²xQ₈:₃S₃		96		C2^2xQ8:3S3	192,1518

Semidirect products G=N:Q with N=C₂² and Q=Q₈:₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(Q₈:₃S₃) = Q₈:₄S₄	φ: Q₈:₃S₃/Q₈ → S₃ ⊆ Aut C₂²	24	6	C2^2:(Q8:3S3)	192,1478
C₂²:₂(Q₈:₃S₃) = C₄:C₄:₂₆D₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₂²	48		C2^2:2(Q8:3S3)	192,1186
C₂²:₃(Q₈:₃S₃) = D₁₂:₂₁D₄	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:3(Q8:3S3)	192,1189
C₂²:₄(Q₈:₃S₃) = C₆.₄₅2_-¹⁺⁴	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₂²	96		C2^2:4(Q8:3S3)	192,1376

Non-split extensions G=N.Q with N=C₂² and Q=Q₈:₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈:₃S₃) = D₂₄:₁₀C₄	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(Q8:3S3)	192,453
C₂².₂(Q₈:₃S₃) = D₂₄:₇C₄	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(Q8:3S3)	192,454
C₂².₃(Q₈:₃S₃) = C₄:C₄.₁₈₇D₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₂²	96		C2^2.3(Q8:3S3)	192,1183
C₂².₄(Q₈:₃S₃) = C₆.₅₆2₊¹⁺⁴	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₂²	48		C2^2.4(Q8:3S3)	192,1203
C₂².₅(Q₈:₃S₃) = C₆.₇₈2_-¹⁺⁴	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₂²	96		C2^2.5(Q8:3S3)	192,1204
C₂².₆(Q₈:₃S₃) = C₂₄.₁₈D₄	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₂²	96	4-	C2^2.6(Q8:3S3)	192,455
C₂².₇(Q₈:₃S₃) = C₂₄.₁₉D₄	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₂²	48	4+	C2^2.7(Q8:3S3)	192,456
C₂².₈(Q₈:₃S₃) = C₂₄.₄₂D₄	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₂²	48	4	C2^2.8(Q8:3S3)	192,457
C₂².₉(Q₈:₃S₃) = C₆.₅₃2₊¹⁺⁴	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₂²	48		C2^2.9(Q8:3S3)	192,1196
C₂².₁₀(Q₈:₃S₃) = C₆.₇₇2_-¹⁺⁴	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.10(Q8:3S3)	192,1201
C₂².₁₁(Q₈:₃S₃) = C₆.₁₁2₊¹⁺⁴	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₂²	96		C2^2.11(Q8:3S3)	192,1073
C₂².₁₂(Q₈:₃S₃) = Dic₃.₅C₄²	central extension (φ=1)	192		C2^2.12(Q8:3S3)	192,207
C₂².₁₃(Q₈:₃S₃) = C₃:(C₄²:₅C₄)	central extension (φ=1)	192		C2^2.13(Q8:3S3)	192,210
C₂².₁₄(Q₈:₃S₃) = C₂.(C₄xDic₆)	central extension (φ=1)	192		C2^2.14(Q8:3S3)	192,213
C₂².₁₅(Q₈:₃S₃) = Dic₃:C₄:C₄	central extension (φ=1)	192		C2^2.15(Q8:3S3)	192,214
C₂².₁₆(Q₈:₃S₃) = C₂².₅₈(S₃xD₄)	central extension (φ=1)	96		C2^2.16(Q8:3S3)	192,223
C₂².₁₇(Q₈:₃S₃) = (C₂xC₄):₉D₁₂	central extension (φ=1)	96		C2^2.17(Q8:3S3)	192,224
C₂².₁₈(Q₈:₃S₃) = D₆:C₄²	central extension (φ=1)	96		C2^2.18(Q8:3S3)	192,225
C₂².₁₉(Q₈:₃S₃) = D₆:C₄:₅C₄	central extension (φ=1)	96		C2^2.19(Q8:3S3)	192,228
C₂².₂₀(Q₈:₃S₃) = D₆:C₄:₃C₄	central extension (φ=1)	96		C2^2.20(Q8:3S3)	192,229
C₂².₂₁(Q₈:₃S₃) = C₁₂:(C₄:C₄)	central extension (φ=1)	192		C2^2.21(Q8:3S3)	192,531
C₂².₂₂(Q₈:₃S₃) = Dic₃xC₄:C₄	central extension (φ=1)	192		C2^2.22(Q8:3S3)	192,533
C₂².₂₃(Q₈:₃S₃) = (C₄xDic₃):₉C₄	central extension (φ=1)	192		C2^2.23(Q8:3S3)	192,536
C₂².₂₄(Q₈:₃S₃) = C₆.₆₇(C₄xD₄)	central extension (φ=1)	192		C2^2.24(Q8:3S3)	192,537
C₂².₂₅(Q₈:₃S₃) = C₄:C₄:₅Dic₃	central extension (φ=1)	192		C2^2.25(Q8:3S3)	192,539
C₂².₂₆(Q₈:₃S₃) = C₄:C₄:₆Dic₃	central extension (φ=1)	192		C2^2.26(Q8:3S3)	192,543
C₂².₂₇(Q₈:₃S₃) = C₄:(D₆:C₄)	central extension (φ=1)	96		C2^2.27(Q8:3S3)	192,546
C₂².₂₈(Q₈:₃S₃) = (C₂xD₁₂):₁₀C₄	central extension (φ=1)	96		C2^2.28(Q8:3S3)	192,547
C₂².₂₉(Q₈:₃S₃) = D₆:C₄:₆C₄	central extension (φ=1)	96		C2^2.29(Q8:3S3)	192,548
C₂².₃₀(Q₈:₃S₃) = D₆:C₄:₇C₄	central extension (φ=1)	96		C2^2.30(Q8:3S3)	192,549
C₂².₃₁(Q₈:₃S₃) = (C₆xQ₈):₇C₄	central extension (φ=1)	192		C2^2.31(Q8:3S3)	192,788
C₂².₃₂(Q₈:₃S₃) = C₂xC₄.Dic₆	central extension (φ=1)	192		C2^2.32(Q8:3S3)	192,1058
C₂².₃₃(Q₈:₃S₃) = C₂xC₄:C₄:₇S₃	central extension (φ=1)	96		C2^2.33(Q8:3S3)	192,1061
C₂².₃₄(Q₈:₃S₃) = C₂xDic₃:₅D₄	central extension (φ=1)	96		C2^2.34(Q8:3S3)	192,1062
C₂².₃₅(Q₈:₃S₃) = C₂xD₆.D₄	central extension (φ=1)	96		C2^2.35(Q8:3S3)	192,1064
C₂².₃₆(Q₈:₃S₃) = C₂xC₁₂:D₄	central extension (φ=1)	96		C2^2.36(Q8:3S3)	192,1065
C₂².₃₇(Q₈:₃S₃) = C₂xC₄:C₄:S₃	central extension (φ=1)	96		C2^2.37(Q8:3S3)	192,1071
C₂².₃₈(Q₈:₃S₃) = C₂xQ₈xDic₃	central extension (φ=1)	192		C2^2.38(Q8:3S3)	192,1370
C₂².₃₉(Q₈:₃S₃) = C₂xD₆:₃Q₈	central extension (φ=1)	96		C2^2.39(Q8:3S3)	192,1372
C₂².₄₀(Q₈:₃S₃) = C₂xC₁₂.₂₃D₄	central extension (φ=1)	96		C2^2.40(Q8:3S3)	192,1373
C₂².₄₁(Q₈:₃S₃) = (C₂xC₄).Dic₆	central stem extension (φ=1)	192		C2^2.41(Q8:3S3)	192,219
C₂².₄₂(Q₈:₃S₃) = (C₂²xC₄).₈₅D₆	central stem extension (φ=1)	192		C2^2.42(Q8:3S3)	192,220
C₂².₄₃(Q₈:₃S₃) = (C₂²xC₄).₃₀D₆	central stem extension (φ=1)	192		C2^2.43(Q8:3S3)	192,221
C₂².₄₄(Q₈:₃S₃) = (C₂xC₁₂):₅D₄	central stem extension (φ=1)	96		C2^2.44(Q8:3S3)	192,230
C₂².₄₅(Q₈:₃S₃) = C₆.C₂²wrC₂	central stem extension (φ=1)	96		C2^2.45(Q8:3S3)	192,231
C₂².₄₆(Q₈:₃S₃) = (C₂xC₄).₂₁D₁₂	central stem extension (φ=1)	96		C2^2.46(Q8:3S3)	192,233
C₂².₄₇(Q₈:₃S₃) = C₆.(C₄:D₄)	central stem extension (φ=1)	96		C2^2.47(Q8:3S3)	192,234
C₂².₄₈(Q₈:₃S₃) = (C₂xC₁₂).₅₄D₄	central stem extension (φ=1)	192		C2^2.48(Q8:3S3)	192,541
C₂².₄₉(Q₈:₃S₃) = (C₂xC₁₂).₂₈₈D₄	central stem extension (φ=1)	192		C2^2.49(Q8:3S3)	192,544
C₂².₅₀(Q₈:₃S₃) = (C₂xC₁₂).₅₅D₄	central stem extension (φ=1)	192		C2^2.50(Q8:3S3)	192,545
C₂².₅₁(Q₈:₃S₃) = (C₂xC₄):₃D₁₂	central stem extension (φ=1)	96		C2^2.51(Q8:3S3)	192,550
C₂².₅₂(Q₈:₃S₃) = (C₂xC₁₂).₂₈₉D₄	central stem extension (φ=1)	96		C2^2.52(Q8:3S3)	192,551
C₂².₅₃(Q₈:₃S₃) = (C₂xC₁₂).₂₉₀D₄	central stem extension (φ=1)	96		C2^2.53(Q8:3S3)	192,552
C₂².₅₄(Q₈:₃S₃) = (C₂xC₁₂).₅₆D₄	central stem extension (φ=1)	96		C2^2.54(Q8:3S3)	192,553
C₂².₅₅(Q₈:₃S₃) = C₂².₅₂(S₃xQ₈)	central stem extension (φ=1)	192		C2^2.55(Q8:3S3)	192,789
C₂².₅₆(Q₈:₃S₃) = (C₂²xQ₈):₉S₃	central stem extension (φ=1)	96		C2^2.56(Q8:3S3)	192,790

Extensions 1→N→G→Q→1 with N=C22 and Q=Q8:3S3

Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈:₃S₃