Extensions 1→N→G→Q→1 with N=C₈○₂M₄(2) and Q=C₂

Direct product G=N×Q with N=C₈○₂M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂×C₈○₂M₄(2)		64		C2xC8o2M4(2)	128,1604

Semidirect products G=N:Q with N=C₈○₂M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○₂M₄(2)⋊₁C₂ = M₄(2).₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2):1C2	128,708
C₈○₂M₄(2)⋊₂C₂ = M₄(2).₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):2C2	128,709
C₈○₂M₄(2)⋊₃C₂ = M₄(2).₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):3C2	128,710
C₈○₂M₄(2)⋊₄C₂ = C₄².₂₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):4C2	128,1678
C₈○₂M₄(2)⋊₅C₂ = C₄².₂₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):5C2	128,1679
C₈○₂M₄(2)⋊₆C₂ = C₄².₂₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):6C2	128,1680
C₈○₂M₄(2)⋊₇C₂ = C₄².₂₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):7C2	128,1681
C₈○₂M₄(2)⋊₈C₂ = C₄².₂₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):8C2	128,1683
C₈○₂M₄(2)⋊₉C₂ = C₄².₂₈₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):9C2	128,1684
C₈○₂M₄(2)⋊₁₀C₂ = C₄².₂₈₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2):10C2	128,1687
C₈○₂M₄(2)⋊₁₁C₂ = M₄(2)○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2):11C2	128,1689
C₈○₂M₄(2)⋊₁₂C₂ = M₄(2)⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):12C2	128,1886
C₈○₂M₄(2)⋊₁₃C₂ = M₄(2)⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):13C2	128,1887
C₈○₂M₄(2)⋊₁₄C₂ = M₄(2).₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):14C2	128,1888
C₈○₂M₄(2)⋊₁₅C₂ = C₄².₃₈₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):15C2	128,1905
C₈○₂M₄(2)⋊₁₆C₂ = C₄².₃₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):16C2	128,1906
C₈○₂M₄(2)⋊₁₇C₂ = C₄².₃₈₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):17C2	128,1907
C₈○₂M₄(2)⋊₁₈C₂ = C₄².₃₈₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):18C2	128,1908
C₈○₂M₄(2)⋊₁₉C₂ = C₄².₃₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):19C2	128,1910
C₈○₂M₄(2)⋊₂₀C₂ = C₄².₃₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):20C2	128,1911
C₈○₂M₄(2)⋊₂₁C₂ = C₂³.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2):21C2	128,489
C₈○₂M₄(2)⋊₂₂C₂ = Q₈.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):22C2	128,496
C₈○₂M₄(2)⋊₂₃C₂ = D₄.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):23C2	128,497
C₈○₂M₄(2)⋊₂₄C₂ = M₄(2).₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):24C2	128,661
C₈○₂M₄(2)⋊₂₅C₂ = C₄.D₄⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):25C2	128,663
C₈○₂M₄(2)⋊₂₆C₂ = M₄(2)○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):26C2	128,1605
C₈○₂M₄(2)⋊₂₇C₂ = D₄.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):27C2	128,1607
C₈○₂M₄(2)⋊₂₈C₂ = C₄².₂₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):28C2	128,1656
C₈○₂M₄(2)⋊₂₉C₂ = C₄².₆₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):29C2	128,1657
C₈○₂M₄(2)⋊₃₀C₂ = C₄².₂₆₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):30C2	128,1661
C₈○₂M₄(2)⋊₃₁C₂ = C₄².₂₆₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):31C2	128,1662
C₈○₂M₄(2)⋊₃₂C₂ = M₄(2)⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):32C2	128,1665
C₈○₂M₄(2)⋊₃₃C₂ = C₄².₂₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):33C2	128,1698
C₈○₂M₄(2)⋊₃₄C₂ = C₄².₂₉₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):34C2	128,1699
C₈○₂M₄(2)⋊₃₅C₂ = C₄².₂₉₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):35C2	128,1700
C₈○₂M₄(2)⋊₃₆C₂ = C₄².₂₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):36C2	128,1701
C₈○₂M₄(2)⋊₃₇C₂ = C₄².₃₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2):37C2	128,1868
C₈○₂M₄(2)⋊₃₈C₂ = C₄².₃₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2):38C2	128,1869
C₈○₂M₄(2)⋊₃₉C₂ = C₄×C₈○D₄	φ: trivial image	64		C8o2M4(2):39C2	128,1606

Non-split extensions G=N.Q with N=C₈○₂M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○₂M₄(2).₁C₂ = C₈.(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).1C2	128,565
C₈○₂M₄(2).₂C₂ = M₄(2).₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).2C2	128,683
C₈○₂M₄(2).₃C₂ = M₄(2).₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).3C2	128,684
C₈○₂M₄(2).₄C₂ = M₄(2).₂₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).4C2	128,685
C₈○₂M₄(2).₅C₂ = M₄(2).₃₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).5C2	128,711
C₈○₂M₄(2).₆C₂ = M₄(2).₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).6C2	128,885
C₈○₂M₄(2).₇C₂ = C₈.₁₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).7C2	128,898
C₈○₂M₄(2).₈C₂ = C₄².₂₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).8C2	128,1682
C₈○₂M₄(2).₉C₂ = M₄(2)⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).9C2	128,1895
C₈○₂M₄(2).₁₀C₂ = M₄(2)⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).10C2	128,1896
C₈○₂M₄(2).₁₁C₂ = C₄².₃₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).11C2	128,1909
C₈○₂M₄(2).₁₂C₂ = M₄(2).C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).12C2	128,110
C₈○₂M₄(2).₁₃C₂ = M₅(2)⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).13C2	128,111
C₈○₂M₄(2).₁₄C₂ = C₈.₁₆C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).14C2	128,479
C₈○₂M₄(2).₁₅C₂ = C₈.₁₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2).15C2	128,504
C₈○₂M₄(2).₁₆C₂ = C₈.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2).16C2	128,505
C₈○₂M₄(2).₁₇C₂ = M₄(2).₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32		C8o2M4(2).17C2	128,654
C₈○₂M₄(2).₁₈C₂ = C₄.₁₀D₄⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).18C2	128,662
C₈○₂M₄(2).₁₉C₂ = C₈.₂₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	32	4	C8o2M4(2).19C2	128,842
C₈○₂M₄(2).₂₀C₂ = C₄⋊C₄.₇C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).20C2	128,883
C₈○₂M₄(2).₂₁C₂ = C₈.₁₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).21C2	128,896
C₈○₂M₄(2).₂₂C₂ = C₄².₂₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).22C2	128,1692
C₈○₂M₄(2).₂₃C₂ = C₄².₂₈₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).23C2	128,1693
C₈○₂M₄(2).₂₄C₂ = M₄(2)⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○₂M₄(2)	64		C8o2M4(2).24C2	128,1694
C₈○₂M₄(2).₂₅C₂ = C₁₆○₂M₅(2)	φ: trivial image	64		C8o2M4(2).25C2	128,840

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Extensions 1→N→G→Q→1 with N=C8○2M4(2) and Q=C2

Extensions 1→N→G→Q→1 with N=C₈○₂M₄(2) and Q=C₂