Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=Q₈

Direct product G=N×Q with N=C₂×C₈ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂×C₈		128		Q8xC2xC8	128,1690

Semidirect products G=N:Q with N=C₂×C₈ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₈)⋊₁Q₈ = C₄⋊C₄⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128	(C2xC8):1Q8	128,789
(C₂×C₈)⋊₂Q₈ = C₂×C₈⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128	(C2xC8):2Q8	128,1893
(C₂×C₈)⋊₃Q₈ = C₄².₂₅₂D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64	(C2xC8):3Q8	128,1894
(C₂×C₈)⋊₄Q₈ = M₄(2)⋊₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64	(C2xC8):4Q8	128,1895
(C₂×C₈)⋊₅Q₈ = M₄(2)⋊₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64	(C2xC8):5Q8	128,1896
(C₂×C₈)⋊₆Q₈ = (C₂×C₈)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128	(C2xC8):6Q8	128,790
(C₂×C₈)⋊₇Q₈ = C₄².₁₂₀D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128	(C2xC8):7Q8	128,717
(C₂×C₈)⋊₈Q₈ = C₄².₁₂₅D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128	(C2xC8):8Q8	128,725
(C₂×C₈)⋊₉Q₈ = C₄².₂₈₇C₂³	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64	(C2xC8):9Q8	128,1693
(C₂×C₈)⋊₁₀Q₈ = C₄².₃₂₇D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128	(C2xC8):10Q8	128,716
(C₂×C₈)⋊₁₁Q₈ = C₄².₄₃₆D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128	(C2xC8):11Q8	128,722
(C₂×C₈)⋊₁₂Q₈ = C₂×C₈⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128	(C2xC8):12Q8	128,1891
(C₂×C₈)⋊₁₃Q₈ = C₄².₃₆₄D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64	(C2xC8):13Q8	128,1892
(C₂×C₈)⋊₁₄Q₈ = C₂×C₈⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128	(C2xC8):14Q8	128,1889
(C₂×C₈)⋊₁₅Q₈ = C₂×C₈⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128	(C2xC8):15Q8	128,1691
(C₂×C₈)⋊₁₆Q₈ = C₄².₂₈₆C₂³	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64	(C2xC8):16Q8	128,1692

Non-split extensions G=N.Q with N=C₂×C₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁Q₈ = (C₂×C₈).₁Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).1Q8	128,815
(C₂×C₈).₂Q₈ = C₈.₁₁C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32		(C2xC8).2Q8	128,115
(C₂×C₈).₃Q₈ = C₂³.₉D₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).3Q8	128,116
(C₂×C₈).₄Q₈ = C₈.₁₃C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).4Q8	128,117
(C₂×C₈).₅Q₈ = C₈.C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32		(C2xC8).5Q8	128,118
(C₂×C₈).₆Q₈ = C₈.₂C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64		(C2xC8).6Q8	128,119
(C₂×C₈).₇Q₈ = M₅(2).C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).7Q8	128,120
(C₂×C₈).₈Q₈ = C₈.₄C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).8Q8	128,121
(C₂×C₈).₉Q₈ = C₈.(C₄⋊C₄)	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).9Q8	128,565
(C₂×C₈).₁₀Q₈ = C₄².₂₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).10Q8	128,579
(C₂×C₈).₁₁Q₈ = C₄².₁₀₆D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64		(C2xC8).11Q8	128,581
(C₂×C₈).₁₂Q₈ = C₄.(C₄×Q₈)	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).12Q8	128,675
(C₂×C₈).₁₃Q₈ = C₈⋊(C₄⋊C₄)	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).13Q8	128,676
(C₂×C₈).₁₄Q₈ = C₄².₂₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32		(C2xC8).14Q8	128,678
(C₂×C₈).₁₅Q₈ = M₄(2).₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64		(C2xC8).15Q8	128,683
(C₂×C₈).₁₆Q₈ = M₄(2).₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64		(C2xC8).16Q8	128,684
(C₂×C₈).₁₇Q₈ = M₄(2).₂₇D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).17Q8	128,685
(C₂×C₈).₁₈Q₈ = C₂×C₈.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32		(C2xC8).18Q8	128,886
(C₂×C₈).₁₉Q₈ = M₅(2)⋊₃C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).19Q8	128,887
(C₂×C₈).₂₀Q₈ = M₅(2)⋊₁C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64		(C2xC8).20Q8	128,891
(C₂×C₈).₂₁Q₈ = M₅(2).₁C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).21Q8	128,893
(C₂×C₈).₂₂Q₈ = C₂.(C₈⋊Q₈)	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).22Q8	128,791
(C₂×C₈).₂₃Q₈ = C₂.(C₈⋊₃Q₈)	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).23Q8	128,816
(C₂×C₈).₂₄Q₈ = (C₂×C₈).₂₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).24Q8	128,817
(C₂×C₈).₂₅Q₈ = C₁₆⋊₁C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).25Q8	128,100
(C₂×C₈).₂₆Q₈ = C₄².₂C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32		(C2xC8).26Q8	128,107
(C₂×C₈).₂₇Q₈ = M₅(2)⋊C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	64		(C2xC8).27Q8	128,109
(C₂×C₈).₂₈Q₈ = M₄(2).C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).28Q8	128,110
(C₂×C₈).₂₉Q₈ = C₈.₅C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32		(C2xC8).29Q8	128,505
(C₂×C₈).₃₀Q₈ = (C₂×C₈).Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).30Q8	128,649
(C₂×C₈).₃₁Q₈ = C₄².₂₇Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).31Q8	128,672
(C₂×C₈).₃₂Q₈ = C₄².₁₂₄D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	128		(C2xC8).32Q8	128,724
(C₂×C₈).₃₃Q₈ = M₄(2).₁C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₈	32	4	(C2xC8).33Q8	128,885
(C₂×C₈).₃₄Q₈ = C₈⋊₂C₁₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).34Q8	128,99
(C₂×C₈).₃₅Q₈ = C₈.₃₆D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).35Q8	128,102
(C₂×C₈).₃₆Q₈ = C₁₆⋊₃C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).36Q8	128,103
(C₂×C₈).₃₇Q₈ = C₁₆⋊₄C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).37Q8	128,104
(C₂×C₈).₃₈Q₈ = C₄⋊C₄⋊₃C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).38Q8	128,648
(C₂×C₈).₃₉Q₈ = C₄².₆₁Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).39Q8	128,671
(C₂×C₈).₄₀Q₈ = C₄².₄₃₇D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).40Q8	128,723
(C₂×C₈).₄₁Q₈ = C₈.₇C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).41Q8	128,112
(C₂×C₈).₄₂Q₈ = C₄².₅₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).42Q8	128,577
(C₂×C₈).₄₃Q₈ = C₄².₆₀Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).43Q8	128,578
(C₂×C₈).₄₄Q₈ = C₈⋊₅(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).44Q8	128,674
(C₂×C₈).₄₅Q₈ = C₂×C₁₆⋊₃C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).45Q8	128,888
(C₂×C₈).₄₆Q₈ = C₂×C₁₆⋊₄C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).46Q8	128,889
(C₂×C₈).₄₇Q₈ = C₂×C₈.₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).47Q8	128,1890
(C₂×C₈).₄₈Q₈ = C₈.₉C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).48Q8	128,114
(C₂×C₈).₄₉Q₈ = C₄².₃₂₄D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).49Q8	128,580
(C₂×C₈).₅₀Q₈ = C₄².₆₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).50Q8	128,677
(C₂×C₈).₅₁Q₈ = C₂³.₂₅D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).51Q8	128,890
(C₂×C₈).₅₂Q₈ = C₈.₈C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).52Q8	128,113
(C₂×C₈).₅₃Q₈ = C₄².₅₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).53Q8	128,576
(C₂×C₈).₅₄Q₈ = C₈⋊₇(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).54Q8	128,673
(C₂×C₈).₅₅Q₈ = C₂×C₈.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).55Q8	128,892
(C₂×C₈).₅₆Q₈ = C₄².₇C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).56Q8	128,108
(C₂×C₈).₅₇Q₈ = M₅(2)⋊₇C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).57Q8	128,111
(C₂×C₈).₅₈Q₈ = C₄⋊C₈⋊₁₃C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).58Q8	128,502
(C₂×C₈).₅₉Q₈ = C₄⋊C₈⋊₁₄C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).59Q8	128,503
(C₂×C₈).₆₀Q₈ = C₈.₁₄C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).60Q8	128,504
(C₂×C₈).₆₁Q₈ = C₄⋊M₅(2)	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).61Q8	128,882
(C₂×C₈).₆₂Q₈ = C₄⋊C₄.₇C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).62Q8	128,883
(C₂×C₈).₆₃Q₈ = C₂×C₈.C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).63Q8	128,884
(C₂×C₈).₆₄Q₈ = C₂².₇M₅(2)	central extension (φ=1)	128		(C2xC8).64Q8	128,106
(C₂×C₈).₆₅Q₈ = C₈×C₄⋊C₄	central extension (φ=1)	128		(C2xC8).65Q8	128,501
(C₂×C₈).₆₆Q₈ = C₂×C₄⋊C₁₆	central extension (φ=1)	128		(C2xC8).66Q8	128,881

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Extensions 1→N→G→Q→1 with N=C2×C8 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=Q₈