Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×C₄○D₄

Direct product G=N×Q with N=C₂² and Q=C₅×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₀		160		C4oD4xC2xC10	320,1631

Semidirect products G=N:Q with N=C₂² and Q=C₅×C₄○D₄

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(C₅×C₄○D₄) = C₅×C₂².₁₉C₂⁴	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	C2^2:1(C5xC4oD4)	320,1527
C₂²⋊₂(C₅×C₄○D₄) = C₅×D₄⋊₅D₄	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₂²	80	C2^2:2(C5xC4oD4)	320,1548
C₂²⋊₃(C₅×C₄○D₄) = C₅×Q₈⋊₅D₄	φ: C₅×C₄○D₄/C₅×Q₈ → C₂ ⊆ Aut C₂²	160	C2^2:3(C5xC4oD4)	320,1550

Non-split extensions G=N.Q with N=C₂² and Q=C₅×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅×C₄○D₄) = C₅×C₈○D₈	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.1(C5xC4oD4)	320,944
C₂².₂(C₅×C₄○D₄) = C₅×C₈.₂₆D₄	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(C5xC4oD4)	320,945
C₂².₃(C₅×C₄○D₄) = C₅×C₂³.₃₆C₂³	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(C5xC4oD4)	320,1531
C₂².₄(C₅×C₄○D₄) = C₅×C₂².₃₂C₂⁴	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.4(C5xC4oD4)	320,1540
C₂².₅(C₅×C₄○D₄) = C₅×C₂².₃₃C₂⁴	φ: C₅×C₄○D₄/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.5(C5xC4oD4)	320,1541
C₂².₆(C₅×C₄○D₄) = C₅×D₄.₃D₄	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.6(C5xC4oD4)	320,972
C₂².₇(C₅×C₄○D₄) = C₅×D₄.₄D₄	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.7(C5xC4oD4)	320,973
C₂².₈(C₅×C₄○D₄) = C₅×D₄.₅D₄	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₂²	160	4	C2^2.8(C5xC4oD4)	320,974
C₂².₉(C₅×C₄○D₄) = C₅×C₂².₄₅C₂⁴	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2.9(C5xC4oD4)	320,1553
C₂².₁₀(C₅×C₄○D₄) = C₅×C₂².₄₆C₂⁴	φ: C₅×C₄○D₄/C₅×D₄ → C₂ ⊆ Aut C₂²	160		C2^2.10(C5xC4oD4)	320,1554
C₂².₁₁(C₅×C₄○D₄) = C₅×C₂².₄₇C₂⁴	φ: C₅×C₄○D₄/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2.11(C5xC4oD4)	320,1555
C₂².₁₂(C₅×C₄○D₄) = C₅×C₄²⋊₄C₄	central extension (φ=1)	320		C2^2.12(C5xC4oD4)	320,877
C₂².₁₃(C₅×C₄○D₄) = C₂²⋊C₄×C₂₀	central extension (φ=1)	160		C2^2.13(C5xC4oD4)	320,878
C₂².₁₄(C₅×C₄○D₄) = C₄⋊C₄×C₂₀	central extension (φ=1)	320		C2^2.14(C5xC4oD4)	320,879
C₂².₁₅(C₅×C₄○D₄) = C₅×C₂³.₇Q₈	central extension (φ=1)	160		C2^2.15(C5xC4oD4)	320,881
C₂².₁₆(C₅×C₄○D₄) = C₅×C₂³.₃₄D₄	central extension (φ=1)	160		C2^2.16(C5xC4oD4)	320,882
C₂².₁₇(C₅×C₄○D₄) = C₅×C₄²⋊₈C₄	central extension (φ=1)	320		C2^2.17(C5xC4oD4)	320,883
C₂².₁₈(C₅×C₄○D₄) = C₅×C₄²⋊₅C₄	central extension (φ=1)	320		C2^2.18(C5xC4oD4)	320,884
C₂².₁₉(C₅×C₄○D₄) = C₅×C₂³.₈Q₈	central extension (φ=1)	160		C2^2.19(C5xC4oD4)	320,886
C₂².₂₀(C₅×C₄○D₄) = C₅×C₂³.₂₃D₄	central extension (φ=1)	160		C2^2.20(C5xC4oD4)	320,887
C₂².₂₁(C₅×C₄○D₄) = C₅×C₂³.₆₃C₂³	central extension (φ=1)	320		C2^2.21(C5xC4oD4)	320,888
C₂².₂₂(C₅×C₄○D₄) = C₅×C₂⁴.C₂²	central extension (φ=1)	160		C2^2.22(C5xC4oD4)	320,889
C₂².₂₃(C₅×C₄○D₄) = C₅×C₂³.₆₅C₂³	central extension (φ=1)	320		C2^2.23(C5xC4oD4)	320,890
C₂².₂₄(C₅×C₄○D₄) = C₅×C₂⁴.₃C₂²	central extension (φ=1)	160		C2^2.24(C5xC4oD4)	320,891
C₂².₂₅(C₅×C₄○D₄) = C₅×C₂³.₆₇C₂³	central extension (φ=1)	320		C2^2.25(C5xC4oD4)	320,892
C₂².₂₆(C₅×C₄○D₄) = C₁₀×C₄²⋊C₂	central extension (φ=1)	160		C2^2.26(C5xC4oD4)	320,1516
C₂².₂₇(C₅×C₄○D₄) = D₄×C₂×C₂₀	central extension (φ=1)	160		C2^2.27(C5xC4oD4)	320,1517
C₂².₂₈(C₅×C₄○D₄) = Q₈×C₂×C₂₀	central extension (φ=1)	320		C2^2.28(C5xC4oD4)	320,1518
C₂².₂₉(C₅×C₄○D₄) = C₁₀×C₄⋊D₄	central extension (φ=1)	160		C2^2.29(C5xC4oD4)	320,1524
C₂².₃₀(C₅×C₄○D₄) = C₁₀×C₂²⋊Q₈	central extension (φ=1)	160		C2^2.30(C5xC4oD4)	320,1525
C₂².₃₁(C₅×C₄○D₄) = C₁₀×C₂².D₄	central extension (φ=1)	160		C2^2.31(C5xC4oD4)	320,1526
C₂².₃₂(C₅×C₄○D₄) = C₁₀×C₄.₄D₄	central extension (φ=1)	160		C2^2.32(C5xC4oD4)	320,1528
C₂².₃₃(C₅×C₄○D₄) = C₁₀×C₄².C₂	central extension (φ=1)	320		C2^2.33(C5xC4oD4)	320,1529
C₂².₃₄(C₅×C₄○D₄) = C₁₀×C₄²⋊₂C₂	central extension (φ=1)	160		C2^2.34(C5xC4oD4)	320,1530
C₂².₃₅(C₅×C₄○D₄) = C₅×C₂³⋊₂D₄	central stem extension (φ=1)	160		C2^2.35(C5xC4oD4)	320,893
C₂².₃₆(C₅×C₄○D₄) = C₅×C₂³⋊Q₈	central stem extension (φ=1)	160		C2^2.36(C5xC4oD4)	320,894
C₂².₃₇(C₅×C₄○D₄) = C₅×C₂³.₁₀D₄	central stem extension (φ=1)	160		C2^2.37(C5xC4oD4)	320,895
C₂².₃₈(C₅×C₄○D₄) = C₅×C₂³.₇₈C₂³	central stem extension (φ=1)	320		C2^2.38(C5xC4oD4)	320,896
C₂².₃₉(C₅×C₄○D₄) = C₅×C₂³.Q₈	central stem extension (φ=1)	160		C2^2.39(C5xC4oD4)	320,897
C₂².₄₀(C₅×C₄○D₄) = C₅×C₂³.₁₁D₄	central stem extension (φ=1)	160		C2^2.40(C5xC4oD4)	320,898
C₂².₄₁(C₅×C₄○D₄) = C₅×C₂³.₈₁C₂³	central stem extension (φ=1)	320		C2^2.41(C5xC4oD4)	320,899
C₂².₄₂(C₅×C₄○D₄) = C₅×C₂³.₄Q₈	central stem extension (φ=1)	160		C2^2.42(C5xC4oD4)	320,900
C₂².₄₃(C₅×C₄○D₄) = C₅×C₂³.₈₃C₂³	central stem extension (φ=1)	320		C2^2.43(C5xC4oD4)	320,901
C₂².₄₄(C₅×C₄○D₄) = C₅×C₂³.₈₄C₂³	central stem extension (φ=1)	320		C2^2.44(C5xC4oD4)	320,902

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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×C4○D4

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×C₄○D₄