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

Direct product G=N×Q with N=C₂² and Q=Q₈⋊₃S₃

		d	ρ	Label	ID
C₂²×Q₈⋊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/C₄×S₃ → 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/C₃×Q₈ → 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/C₄×S₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(Q8:3S3)	192,453
C₂².₂(Q₈⋊₃S₃) = D₂₄⋊₇C₄	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(Q8:3S3)	192,454
C₂².₃(Q₈⋊₃S₃) = C₄⋊C₄.₁₈₇D₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	96		C2^2.3(Q8:3S3)	192,1183
C₂².₄(Q₈⋊₃S₃) = C₆.₅₆2₊¹⁺⁴	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	48		C2^2.4(Q8:3S3)	192,1203
C₂².₅(Q₈⋊₃S₃) = C₆.₇₈2_-¹⁺⁴	φ: Q₈⋊₃S₃/C₄×S₃ → 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/C₃×Q₈ → 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.(C₄×Dic₆)	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(S₃×D₄)	central extension (φ=1)	96		C2^2.16(Q8:3S3)	192,223
C₂².₁₇(Q₈⋊₃S₃) = (C₂×C₄)⋊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) = Dic₃×C₄⋊C₄	central extension (φ=1)	192		C2^2.22(Q8:3S3)	192,533
C₂².₂₃(Q₈⋊₃S₃) = (C₄×Dic₃)⋊₉C₄	central extension (φ=1)	192		C2^2.23(Q8:3S3)	192,536
C₂².₂₄(Q₈⋊₃S₃) = C₆.₆₇(C₄×D₄)	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) = (C₂×D₁₂)⋊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) = (C₆×Q₈)⋊₇C₄	central extension (φ=1)	192		C2^2.31(Q8:3S3)	192,788
C₂².₃₂(Q₈⋊₃S₃) = C₂×C₄.Dic₆	central extension (φ=1)	192		C2^2.32(Q8:3S3)	192,1058
C₂².₃₃(Q₈⋊₃S₃) = C₂×C₄⋊C₄⋊₇S₃	central extension (φ=1)	96		C2^2.33(Q8:3S3)	192,1061
C₂².₃₄(Q₈⋊₃S₃) = C₂×Dic₃⋊₅D₄	central extension (φ=1)	96		C2^2.34(Q8:3S3)	192,1062
C₂².₃₅(Q₈⋊₃S₃) = C₂×D₆.D₄	central extension (φ=1)	96		C2^2.35(Q8:3S3)	192,1064
C₂².₃₆(Q₈⋊₃S₃) = C₂×C₁₂⋊D₄	central extension (φ=1)	96		C2^2.36(Q8:3S3)	192,1065
C₂².₃₇(Q₈⋊₃S₃) = C₂×C₄⋊C₄⋊S₃	central extension (φ=1)	96		C2^2.37(Q8:3S3)	192,1071
C₂².₃₈(Q₈⋊₃S₃) = C₂×Q₈×Dic₃	central extension (φ=1)	192		C2^2.38(Q8:3S3)	192,1370
C₂².₃₉(Q₈⋊₃S₃) = C₂×D₆⋊₃Q₈	central extension (φ=1)	96		C2^2.39(Q8:3S3)	192,1372
C₂².₄₀(Q₈⋊₃S₃) = C₂×C₁₂.₂₃D₄	central extension (φ=1)	96		C2^2.40(Q8:3S3)	192,1373
C₂².₄₁(Q₈⋊₃S₃) = (C₂×C₄).Dic₆	central stem extension (φ=1)	192		C2^2.41(Q8:3S3)	192,219
C₂².₄₂(Q₈⋊₃S₃) = (C₂²×C₄).₈₅D₆	central stem extension (φ=1)	192		C2^2.42(Q8:3S3)	192,220
C₂².₄₃(Q₈⋊₃S₃) = (C₂²×C₄).₃₀D₆	central stem extension (φ=1)	192		C2^2.43(Q8:3S3)	192,221
C₂².₄₄(Q₈⋊₃S₃) = (C₂×C₁₂)⋊₅D₄	central stem extension (φ=1)	96		C2^2.44(Q8:3S3)	192,230
C₂².₄₅(Q₈⋊₃S₃) = C₆.C₂²≀C₂	central stem extension (φ=1)	96		C2^2.45(Q8:3S3)	192,231
C₂².₄₆(Q₈⋊₃S₃) = (C₂×C₄).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) = (C₂×C₁₂).₅₄D₄	central stem extension (φ=1)	192		C2^2.48(Q8:3S3)	192,541
C₂².₄₉(Q₈⋊₃S₃) = (C₂×C₁₂).₂₈₈D₄	central stem extension (φ=1)	192		C2^2.49(Q8:3S3)	192,544
C₂².₅₀(Q₈⋊₃S₃) = (C₂×C₁₂).₅₅D₄	central stem extension (φ=1)	192		C2^2.50(Q8:3S3)	192,545
C₂².₅₁(Q₈⋊₃S₃) = (C₂×C₄)⋊₃D₁₂	central stem extension (φ=1)	96		C2^2.51(Q8:3S3)	192,550
C₂².₅₂(Q₈⋊₃S₃) = (C₂×C₁₂).₂₈₉D₄	central stem extension (φ=1)	96		C2^2.52(Q8:3S3)	192,551
C₂².₅₃(Q₈⋊₃S₃) = (C₂×C₁₂).₂₉₀D₄	central stem extension (φ=1)	96		C2^2.53(Q8:3S3)	192,552
C₂².₅₄(Q₈⋊₃S₃) = (C₂×C₁₂).₅₆D₄	central stem extension (φ=1)	96		C2^2.54(Q8:3S3)	192,553
C₂².₅₅(Q₈⋊₃S₃) = C₂².₅₂(S₃×Q₈)	central stem extension (φ=1)	192		C2^2.55(Q8:3S3)	192,789
C₂².₅₆(Q₈⋊₃S₃) = (C₂²×Q₈)⋊₉S₃	central stem extension (φ=1)	96		C2^2.56(Q8:3S3)	192,790

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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