Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈○D₄

Direct product G=N×Q with N=C₂² and Q=C₈○D₄

		d	ρ	Label	ID
C₂²×C₈○D₄		64		C2^2xC8oD4	128,2303

Semidirect products G=N:Q with N=C₂² and Q=C₈○D₄

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(C₈○D₄) = C₄².₂₆₄C₂³	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32	C2^2:1(C8oD4)	128,1661
C₂²⋊₂(C₈○D₄) = M₄(2)⋊₂₂D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₂²	32	C2^2:2(C8oD4)	128,1665
C₂²⋊₃(C₈○D₄) = D₄○(C₂²⋊C₈)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32	C2^2:3(C8oD4)	128,1612

Non-split extensions G=N.Q with N=C₂² and Q=C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈○D₄) = C₁₆○D₈	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32	2	C2^2.1(C8oD4)	128,902
C₂².₂(C₈○D₄) = D₈.C₈	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.2(C8oD4)	128,903
C₂².₃(C₈○D₄) = C₄².₂₉₁C₂³	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.3(C8oD4)	128,1698
C₂².₄(C₈○D₄) = C₄².₂₉₇C₂³	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2.4(C8oD4)	128,1708
C₂².₅(C₈○D₄) = C₄².₃₀₇C₂³	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.5(C8oD4)	128,1724
C₂².₆(C₈○D₄) = C₄².₂₉₃C₂³	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.6(C8oD4)	128,1700
C₂².₇(C₈○D₄) = C₄².₂₉₈C₂³	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₂²	32		C2^2.7(C8oD4)	128,1709
C₂².₈(C₈○D₄) = C₄².₃₀₉C₂³	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.8(C8oD4)	128,1726
C₂².₉(C₈○D₄) = C₂³⋊C₈⋊C₂	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C8oD4)	128,200
C₂².₁₀(C₈○D₄) = C₄².₃₉₅D₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(C8oD4)	128,201
C₂².₁₁(C₈○D₄) = C₄².₃₉₆D₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	64		C2^2.11(C8oD4)	128,202
C₂².₁₂(C₈○D₄) = C₂⁴.(C₂×C₄)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(C8oD4)	128,203
C₂².₁₃(C₈○D₄) = C₂⁴.₄₅(C₂×C₄)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.13(C8oD4)	128,204
C₂².₁₄(C₈○D₄) = C₄².₃₇₂D₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.14(C8oD4)	128,205
C₂².₁₅(C₈○D₄) = C₄².₂₆₂C₂³	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.15(C8oD4)	128,1656
C₂².₁₆(C₈○D₄) = D₄⋊₇M₄(2)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	32		C2^2.16(C8oD4)	128,1706
C₂².₁₇(C₈○D₄) = Q₈.₄M₄(2)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₂²	64		C2^2.17(C8oD4)	128,1716
C₂².₁₈(C₈○D₄) = C₂.C₄³	central extension (φ=1)	128		C2^2.18(C8oD4)	128,458
C₂².₁₉(C₈○D₄) = C₂³.₂₉C₄²	central extension (φ=1)	64		C2^2.19(C8oD4)	128,461
C₂².₂₀(C₈○D₄) = (C₄×C₈)⋊₁₂C₄	central extension (φ=1)	128		C2^2.20(C8oD4)	128,478
C₂².₂₁(C₈○D₄) = C₄².₃₇₉D₄	central extension (φ=1)	64		C2^2.21(C8oD4)	128,482
C₂².₂₂(C₈○D₄) = C₈×C₂²⋊C₄	central extension (φ=1)	64		C2^2.22(C8oD4)	128,483
C₂².₂₃(C₈○D₄) = C₂³.₃₆C₄²	central extension (φ=1)	64		C2^2.23(C8oD4)	128,484
C₂².₂₄(C₈○D₄) = C₂³.₁₇C₄²	central extension (φ=1)	64		C2^2.24(C8oD4)	128,485
C₂².₂₅(C₈○D₄) = C₄².₄₅Q₈	central extension (φ=1)	128		C2^2.25(C8oD4)	128,500
C₂².₂₆(C₈○D₄) = C₈×C₄⋊C₄	central extension (φ=1)	128		C2^2.26(C8oD4)	128,501
C₂².₂₇(C₈○D₄) = C₄⋊C₈⋊₁₃C₄	central extension (φ=1)	128		C2^2.27(C8oD4)	128,502
C₂².₂₈(C₈○D₄) = C₄⋊C₈⋊₁₄C₄	central extension (φ=1)	128		C2^2.28(C8oD4)	128,503
C₂².₂₉(C₈○D₄) = C₂³.₂₁M₄(2)	central extension (φ=1)	64		C2^2.29(C8oD4)	128,582
C₂².₃₀(C₈○D₄) = C₂³.₂₂M₄(2)	central extension (φ=1)	64		C2^2.30(C8oD4)	128,601
C₂².₃₁(C₈○D₄) = C₄⋊C₄⋊₃C₈	central extension (φ=1)	128		C2^2.31(C8oD4)	128,648
C₂².₃₂(C₈○D₄) = C₂²⋊C₄⋊₄C₈	central extension (φ=1)	64		C2^2.32(C8oD4)	128,655
C₂².₃₃(C₈○D₄) = C₄².₆₁Q₈	central extension (φ=1)	128		C2^2.33(C8oD4)	128,671
C₂².₃₄(C₈○D₄) = C₄².₃₂₅D₄	central extension (φ=1)	64		C2^2.34(C8oD4)	128,686
C₂².₃₅(C₈○D₄) = C₄².₃₂₇D₄	central extension (φ=1)	128		C2^2.35(C8oD4)	128,716
C₂².₃₆(C₈○D₄) = C₂×C₈○₂M₄(2)	central extension (φ=1)	64		C2^2.36(C8oD4)	128,1604
C₂².₃₇(C₈○D₄) = C₂×(C₂²×C₈)⋊C₂	central extension (φ=1)	64		C2^2.37(C8oD4)	128,1610
C₂².₃₈(C₈○D₄) = C₂×C₄².₆C₂²	central extension (φ=1)	64		C2^2.38(C8oD4)	128,1636
C₂².₃₉(C₈○D₄) = C₂×C₄².₇C₂²	central extension (φ=1)	64		C2^2.39(C8oD4)	128,1651
C₂².₄₀(C₈○D₄) = D₄×C₂×C₈	central extension (φ=1)	64		C2^2.40(C8oD4)	128,1658
C₂².₄₁(C₈○D₄) = C₂×C₈⋊₉D₄	central extension (φ=1)	64		C2^2.41(C8oD4)	128,1659
C₂².₄₂(C₈○D₄) = C₂×C₈⋊₆D₄	central extension (φ=1)	64		C2^2.42(C8oD4)	128,1660
C₂².₄₃(C₈○D₄) = Q₈×C₂×C₈	central extension (φ=1)	128		C2^2.43(C8oD4)	128,1690
C₂².₄₄(C₈○D₄) = C₂×C₈⋊₄Q₈	central extension (φ=1)	128		C2^2.44(C8oD4)	128,1691
C₂².₄₅(C₈○D₄) = C₂⁴.₅₁(C₂×C₄)	central stem extension (φ=1)	64		C2^2.45(C8oD4)	128,512
C₂².₄₆(C₈○D₄) = C₄².₉₅D₄	central stem extension (φ=1)	64		C2^2.46(C8oD4)	128,530
C₂².₄₇(C₈○D₄) = C₂⁴.₅₃(C₂×C₄)	central stem extension (φ=1)	64		C2^2.47(C8oD4)	128,550
C₂².₄₈(C₈○D₄) = C₄².₂₃Q₈	central stem extension (φ=1)	128		C2^2.48(C8oD4)	128,564
C₂².₄₉(C₈○D₄) = C₄²⋊₄C₄.C₂	central stem extension (φ=1)	128		C2^2.49(C8oD4)	128,572
C₂².₅₀(C₈○D₄) = C₄².₂₅Q₈	central stem extension (φ=1)	128		C2^2.50(C8oD4)	128,575
C₂².₅₁(C₈○D₄) = (C₂×C₈).₁₉₅D₄	central stem extension (φ=1)	64		C2^2.51(C8oD4)	128,583
C₂².₅₂(C₈○D₄) = C₂³⋊₂M₄(2)	central stem extension (φ=1)	64		C2^2.52(C8oD4)	128,602
C₂².₅₃(C₈○D₄) = (C₂×C₈).Q₈	central stem extension (φ=1)	128		C2^2.53(C8oD4)	128,649
C₂².₅₄(C₈○D₄) = C₂³.₉M₄(2)	central stem extension (φ=1)	64		C2^2.54(C8oD4)	128,656
C₂².₅₅(C₈○D₄) = C₄².₂₇Q₈	central stem extension (φ=1)	128		C2^2.55(C8oD4)	128,672
C₂².₅₆(C₈○D₄) = C₄².₁₀₉D₄	central stem extension (φ=1)	64		C2^2.56(C8oD4)	128,687
C₂².₅₇(C₈○D₄) = C₄².₁₂₀D₄	central stem extension (φ=1)	128		C2^2.57(C8oD4)	128,717

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Extensions 1→N→G→Q→1 with N=C22 and Q=C8○D4

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈○D₄