Extensions 1→N→G→Q→1 with N=C₄² and Q=Q₈

Direct product G=N×Q with N=C₄² and Q=Q₈

		d	ρ	Label	ID
Q₈×C₄²		128		Q8xC4^2	128,1004

Semidirect products G=N:Q with N=C₄² and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₄²⋊₁Q₈ = C₄²⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32	C4^2:1Q8	128,727
C₄²⋊₂Q₈ = M₄(2)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32	C4^2:2Q8	128,792
C₄²⋊₃Q₈ = C₄²⋊₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32	C4^2:3Q8	128,793
C₄²⋊₄Q₈ = C₄²⋊₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:4Q8	128,1063
C₄²⋊₅Q₈ = C₄²⋊₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:5Q8	128,1131
C₄²⋊₆Q₈ = C₄²⋊₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:6Q8	128,1282
C₄²⋊₇Q₈ = C₄²⋊₇Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:7Q8	128,1283
C₄²⋊₈Q₈ = C₄²⋊₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:8Q8	128,1337
C₄²⋊₉Q₈ = C₄²⋊₉Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:9Q8	128,1344
C₄²⋊₁₀Q₈ = C₄²⋊₁₀Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:10Q8	128,1392
C₄²⋊₁₁Q₈ = C₄²⋊₁₁Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:11Q8	128,1398
C₄²⋊₁₂Q₈ = C₄²⋊₁₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:12Q8	128,1575
C₄²⋊₁₃Q₈ = C₄²⋊₁₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128	C4^2:13Q8	128,1576
C₄²⋊₁₄Q₈ = C₄²⋊₁₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128	C4^2:14Q8	128,1027
C₄²⋊₁₅Q₈ = C₄²⋊₁₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128	C4^2:15Q8	128,1595
C₄²⋊₁₆Q₈ = C₄²⋊₁₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	32	C4^2:16Q8	128,726
C₄²⋊₁₇Q₈ = C₄×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128	C4^2:17Q8	128,1039
C₄²⋊₁₈Q₈ = C₄²⋊₁₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128	C4^2:18Q8	128,1594
C₄²⋊₁₉Q₈ = C₄²⋊₁₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128	C4^2:19Q8	128,1600

Non-split extensions G=N.Q with N=C₄² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁Q₈ = C₄²⋊₁C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.1Q8	128,6
C₄².₂Q₈ = C₄².₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.2Q8	128,13
C₄².₃Q₈ = C₄².₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.3Q8	128,15
C₄².₄Q₈ = C₄².₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.4Q8	128,17
C₄².₅Q₈ = C₄².₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.5Q8	128,18
C₄².₆Q₈ = C₄².₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.6Q8	128,20
C₄².₇Q₈ = C₄².₇Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.7Q8	128,27
C₄².₈Q₈ = C₄².₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.8Q8	128,28
C₄².₉Q₈ = C₄².₉Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.9Q8	128,32
C₄².₁₀Q₈ = C₄².₁₀Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.10Q8	128,35
C₄².₁₁Q₈ = C₄².₃₀D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.11Q8	128,39
C₄².₁₂Q₈ = C₄².₃₁D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.12Q8	128,40
C₄².₁₃Q₈ = C₄².₃₂D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.13Q8	128,41
C₄².₁₄Q₈ = C₁₆.C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32	4	C4^2.14Q8	128,101
C₄².₁₅Q₈ = M₄(2)⋊₁C₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.15Q8	128,297
C₄².₁₆Q₈ = C₈⋊₁M₄(2)	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.16Q8	128,301
C₄².₁₇Q₈ = C₄².₉₀D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.17Q8	128,302
C₄².₁₈Q₈ = C₄².₉₁D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.18Q8	128,303
C₄².₁₉Q₈ = C₄².Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.19Q8	128,304
C₄².₂₀Q₈ = C₄².₉₂D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.20Q8	128,305
C₄².₂₁Q₈ = C₄².₂₁Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	64		C4^2.21Q8	128,306
C₄².₂₂Q₈ = C₈⋊C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.22Q8	128,508
C₄².₂₃Q₈ = C₄².₂₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.23Q8	128,564
C₄².₂₄Q₈ = C₄².₂₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.24Q8	128,568
C₄².₂₅Q₈ = C₄².₂₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.25Q8	128,575
C₄².₂₆Q₈ = C₄².₂₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.26Q8	128,579
C₄².₂₇Q₈ = C₄².₂₇Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.27Q8	128,672
C₄².₂₈Q₈ = C₄².₂₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	32		C4^2.28Q8	128,678
C₄².₂₉Q₈ = C₄².₂₉Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.29Q8	128,679
C₄².₃₀Q₈ = C₄².₃₀Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.30Q8	128,680
C₄².₃₁Q₈ = C₄².₃₁Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.31Q8	128,681
C₄².₃₂Q₈ = C₄².₃₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	16	4	C4^2.32Q8	128,834
C₄².₃₃Q₈ = C₄².₃₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.33Q8	128,1062
C₄².₃₄Q₈ = C₄².₃₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.34Q8	128,1134
C₄².₃₅Q₈ = C₄².₃₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.35Q8	128,1284
C₄².₃₆Q₈ = C₄².₃₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.36Q8	128,1302
C₄².₃₇Q₈ = C₄².₃₇Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.37Q8	128,1303
C₄².₃₈Q₈ = C₄².₃₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.38Q8	128,1338
C₄².₃₉Q₈ = C₄².₃₉Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.39Q8	128,1379
C₄².₄₀Q₈ = C₄².₄₀Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄²	128		C4^2.40Q8	128,1577
C₄².₄₁Q₈ = C₄²⋊₆C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	32		C4^2.41Q8	128,8
C₄².₄₂Q₈ = C₄².₄₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.42Q8	128,296
C₄².₄₃Q₈ = C₄².₄₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.43Q8	128,300
C₄².₄₄Q₈ = C₄³.₇C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.44Q8	128,499
C₄².₄₅Q₈ = C₄².₄₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.45Q8	128,500
C₄².₄₆Q₈ = C₄².₄₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.46Q8	128,11
C₄².₄₇Q₈ = C₁₆.₃C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	32	2	C4^2.47Q8	128,105
C₄².₄₈Q₈ = C₂×C₈⋊₂C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.48Q8	128,294
C₄².₄₉Q₈ = C₂×C₈⋊₁C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.49Q8	128,295
C₄².₅₀Q₈ = C₈⋊₈M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.50Q8	128,298
C₄².₅₁Q₈ = C₈⋊₇M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	64		C4^2.51Q8	128,299
C₄².₅₂Q₈ = C₄×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.52Q8	128,506
C₄².₅₃Q₈ = C₄×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.53Q8	128,507
C₄².₅₄Q₈ = C₄²⋊₈C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.54Q8	128,563
C₄².₅₅Q₈ = C₄².₅₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.55Q8	128,566
C₄².₅₆Q₈ = C₄².₅₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.56Q8	128,567
C₄².₅₇Q₈ = C₄²⋊₉C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.57Q8	128,574
C₄².₅₈Q₈ = C₄².₅₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.58Q8	128,576
C₄².₅₉Q₈ = C₄².₅₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.59Q8	128,577
C₄².₆₀Q₈ = C₄².₆₀Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.60Q8	128,578
C₄².₆₁Q₈ = C₄².₆₁Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.61Q8	128,671
C₄².₆₂Q₈ = C₄².₆₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	32		C4^2.62Q8	128,677
C₄².₆₃Q₈ = C₄×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.63Q8	128,1037
C₄².₆₄Q₈ = C₄³.₁₅C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.64Q8	128,1591
C₄².₆₅Q₈ = C₄³.₁₈C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄²	128		C4^2.65Q8	128,1596
C₄².₆₆Q₈ = C₂.C₈²	central extension (φ=1)	128		C4^2.66Q8	128,5
C₄².₆₇Q₈ = C₄×C₄⋊C₈	central extension (φ=1)	128		C4^2.67Q8	128,498

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Extensions 1→N→G→Q→1 with N=C42 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₄² and Q=Q₈