Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=Q₈

Direct product G=N×Q with N=C₂×D₄ and Q=Q₈

		d	ρ	Label	ID
C₂×D₄×Q₈		64		C2xD4xQ8	128,2198

Semidirect products G=N:Q with N=C₂×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁Q₈ = (C₂×D₄)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4):1Q8	128,755
(C₂×D₄)⋊₂Q₈ = (C₂×D₄)⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4):2Q8	128,759
(C₂×D₄)⋊₃Q₈ = C₄².₈D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	16	4	(C2xD4):3Q8	128,763
(C₂×D₄)⋊₄Q₈ = C₂³.₅₈₃C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4):4Q8	128,1415
(C₂×D₄)⋊₅Q₈ = C₂³.₅₉₂C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4):5Q8	128,1424
(C₂×D₄)⋊₆Q₈ = C₂³.₆₃₂C₂⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4):6Q8	128,1464
(C₂×D₄)⋊₇Q₈ = C₂⁴.₄₅₀C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4):7Q8	128,1516
(C₂×D₄)⋊₈Q₈ = C₂⁴.₄₅₆C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4):8Q8	128,1536
(C₂×D₄)⋊₉Q₈ = C₄².₂₀C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4):9Q8	128,1813
(C₂×D₄)⋊₁₀Q₈ = C₂³.₃₀₉C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):10Q8	128,1141
(C₂×D₄)⋊₁₁Q₈ = C₂⁴.₂₅₂C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):11Q8	128,1149
(C₂×D₄)⋊₁₂Q₈ = C₂³.₃₄₉C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):12Q8	128,1181
(C₂×D₄)⋊₁₃Q₈ = C₂³.₃₅₀C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):13Q8	128,1182
(C₂×D₄)⋊₁₄Q₈ = C₂³.₃₅₂C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):14Q8	128,1184
(C₂×D₄)⋊₁₅Q₈ = C₄².₁₆₆D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):15Q8	128,1270
(C₂×D₄)⋊₁₆Q₈ = C₄².₁₆₇D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):16Q8	128,1274
(C₂×D₄)⋊₁₇Q₈ = C₄².₁₇₃D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):17Q8	128,1295
(C₂×D₄)⋊₁₈Q₈ = C₂⁴.₅₈₃C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):18Q8	128,1296
(C₂×D₄)⋊₁₉Q₈ = C₄².₁₇₈D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):19Q8	128,1312
(C₂×D₄)⋊₂₀Q₈ = C₂×D₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):20Q8	128,1802
(C₂×D₄)⋊₂₁Q₈ = C₂×D₄⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4):21Q8	128,1803
(C₂×D₄)⋊₂₂Q₈ = C₄².₂₁₉D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32		(C2xD4):22Q8	128,1809
(C₂×D₄)⋊₂₃Q₈ = C₂².₉₀C₂⁵	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32		(C2xD4):23Q8	128,2233
(C₂×D₄)⋊₂₄Q₈ = C₂×D₄⋊₃Q₈	φ: trivial image	64		(C2xD4):24Q8	128,2204

Non-split extensions G=N.Q with N=C₂×D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁Q₈ = C₂⁴.₅D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4).1Q8	128,122
(C₂×D₄).₂Q₈ = C₂³.₃C₄²	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32	4	(C2xD4).2Q8	128,124
(C₂×D₄).₃Q₈ = C₂⁴.₆D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4).3Q8	128,125
(C₂×D₄).₄Q₈ = (C₂²×C₈)⋊C₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32	4	(C2xD4).4Q8	128,127
(C₂×D₄).₅Q₈ = C₂⁴.₂₁D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4).5Q8	128,588
(C₂×D₄).₆Q₈ = M₄(2).₄₀D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32	4	(C2xD4).6Q8	128,590
(C₂×D₄).₇Q₈ = M₄(2).₄₁D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	16	4	(C2xD4).7Q8	128,593
(C₂×D₄).₈Q₈ = C₂⁴.₂₂D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4).8Q8	128,599
(C₂×D₄).₉Q₈ = (C₂×D₄).Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32	4	(C2xD4).9Q8	128,600
(C₂×D₄).₁₀Q₈ = C₄⋊C₄.₈₄D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).10Q8	128,757
(C₂×D₄).₁₁Q₈ = M₄(2).₁₂D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32		(C2xD4).11Q8	128,795
(C₂×D₄).₁₂Q₈ = C₄⋊C₄.₁₀₆D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).12Q8	128,797
(C₂×D₄).₁₃Q₈ = (C₂×C₄).₂₃D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).13Q8	128,799
(C₂×D₄).₁₄Q₈ = (C₂×C₈).₁₆₈D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).14Q8	128,824
(C₂×D₄).₁₅Q₈ = (C₂×C₄).₂₇D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).15Q8	128,825
(C₂×D₄).₁₆Q₈ = (C₂×C₈).₁₆₉D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).16Q8	128,826
(C₂×D₄).₁₇Q₈ = C₄².₁₀D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	32	4	(C2xD4).17Q8	128,830
(C₂×D₄).₁₈Q₈ = C₂⁴.₄₃₄C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).18Q8	128,1480
(C₂×D₄).₁₉Q₈ = C₂⁴.₄₄₈C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₂×D₄	64		(C2xD4).19Q8	128,1512
(C₂×D₄).₂₀Q₈ = C₂⁴.₁₆₇C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32		(C2xD4).20Q8	128,531
(C₂×D₄).₂₁Q₈ = C₄².₉₆D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32		(C2xD4).21Q8	128,532
(C₂×D₄).₂₂Q₈ = C₄².₉₈D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).22Q8	128,534
(C₂×D₄).₂₃Q₈ = C₄².₁₀₀D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).23Q8	128,536
(C₂×D₄).₂₄Q₈ = (C₂×D₄).₂₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32	4	(C2xD4).24Q8	128,544
(C₂×D₄).₂₅Q₈ = (C₂×C₈).₁₀₃D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32	4	(C2xD4).25Q8	128,545
(C₂×D₄).₂₆Q₈ = C₈○D₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32	4	(C2xD4).26Q8	128,546
(C₂×D₄).₂₇Q₈ = C₂.(C₄×D₈)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).27Q8	128,594
(C₂×D₄).₂₈Q₈ = D₄⋊(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).28Q8	128,596
(C₂×D₄).₂₉Q₈ = C₂³.₃₅₄C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).29Q8	128,1186
(C₂×D₄).₃₀Q₈ = C₂⁴.₃₀₀C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).30Q8	128,1219
(C₂×D₄).₃₁Q₈ = C₄².₁₇₅D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).31Q8	128,1298
(C₂×D₄).₃₂Q₈ = C₂³.₄₇₉C₂⁴	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).32Q8	128,1311
(C₂×D₄).₃₃Q₈ = M₄(2).₂₉C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	32	4	(C2xD4).33Q8	128,1648
(C₂×D₄).₃₄Q₈ = C₂×D₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂×D₄	64		(C2xD4).34Q8	128,1804
(C₂×D₄).₃₅Q₈ = D₄×C₄⋊C₄	φ: trivial image	64		(C2xD4).35Q8	128,1080
(C₂×D₄).₃₆Q₈ = C₂³.₂₃₁C₂⁴	φ: trivial image	64		(C2xD4).36Q8	128,1081

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×D4 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=Q₈