Extensions 1→N→G→Q→1 with N=C₈ and Q=D₈

Direct product G=N×Q with N=C₈ and Q=D₈

		d	ρ	Label	ID
C₈×D₈		64		C8xD8	128,307

Semidirect products G=N:Q with N=C₈ and Q=D₈

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁D₈ = C₈⋊D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64	C8:1D8	128,417
C₈⋊₂D₈ = C₈⋊₂D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64	C8:2D8	128,419
C₈⋊₃D₈ = C₈⋊₃D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64	C8:3D8	128,453
C₈⋊₄D₈ = C₈⋊₄D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64	C8:4D8	128,444
C₈⋊₅D₈ = C₈⋊₅D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64	C8:5D8	128,438
C₈⋊₆D₈ = C₈⋊₆D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64	C8:6D8	128,321
C₈⋊₇D₈ = C₈⋊₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64	C8:7D8	128,399
C₈⋊₈D₈ = C₈⋊₈D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64	C8:8D8	128,397
C₈⋊₉D₈ = C₈⋊₉D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64	C8:9D8	128,313

Non-split extensions G=N.Q with N=C₈ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₈ = C₈.D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64		C8.1D8	128,421
C₈.₂D₈ = C₈.₂D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64		C8.2D8	128,454
C₈.₃D₈ = C₈.₃D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	32	4	C8.3D8	128,944
C₈.₄D₈ = D₈⋊₃D₄	φ: D₈/C₄ → C₂² ⊆ Aut C₈	16	4+	C8.4D8	128,945
C₈.₅D₈ = C₈.₅D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	32	4-	C8.5D8	128,946
C₈.₆D₈ = C₁₆⋊₃D₄	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64		C8.6D8	128,982
C₈.₇D₈ = C₈.₇D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64		C8.7D8	128,983
C₈.₈D₈ = C₃₂⋊C₂²	φ: D₈/C₄ → C₂² ⊆ Aut C₈	32	4+	C8.8D8	128,995
C₈.₉D₈ = Q₆₄⋊C₂	φ: D₈/C₄ → C₂² ⊆ Aut C₈	64	4-	C8.9D8	128,996
C₈.₁₀D₈ = D₆₄	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64	2+	C8.10D8	128,161
C₈.₁₁D₈ = SD₁₂₈	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64	2	C8.11D8	128,162
C₈.₁₂D₈ = Q₁₂₈	φ: D₈/C₈ → C₂ ⊆ Aut C₈	128	2-	C8.12D8	128,163
C₈.₁₃D₈ = C₈²⋊₅C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64		C8.13D8	128,441
C₈.₁₄D₈ = C₈⋊₄Q₁₆	φ: D₈/C₈ → C₂ ⊆ Aut C₈	128		C8.14D8	128,445
C₈.₁₅D₈ = C₄⋊D₁₆	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64		C8.15D8	128,978
C₈.₁₆D₈ = C₄⋊Q₃₂	φ: D₈/C₈ → C₂ ⊆ Aut C₈	128		C8.16D8	128,979
C₈.₁₇D₈ = C₁₆⋊₅D₄	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64		C8.17D8	128,980
C₈.₁₈D₈ = C₂×D₃₂	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64		C8.18D8	128,991
C₈.₁₉D₈ = C₂×SD₆₄	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64		C8.19D8	128,992
C₈.₂₀D₈ = C₂×Q₆₄	φ: D₈/C₈ → C₂ ⊆ Aut C₈	128		C8.20D8	128,993
C₈.₂₁D₈ = C₈.₂₁D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64		C8.21D8	128,981
C₈.₂₂D₈ = C₄○D₃₂	φ: D₈/C₈ → C₂ ⊆ Aut C₈	64	2	C8.22D8	128,994
C₈.₂₃D₈ = C₈○D₁₆	φ: D₈/C₈ → C₂ ⊆ Aut C₈	32	2	C8.23D8	128,910
C₈.₂₄D₈ = C₈.₂₄D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	16	4+	C8.24D8	128,89
C₈.₂₅D₈ = C₈.₂₅D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	32	4-	C8.25D8	128,90
C₈.₂₆D₈ = C₄.D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64		C8.26D8	128,93
C₈.₂₇D₈ = C₈.₂₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	128		C8.27D8	128,94
C₈.₂₈D₈ = C₈.₂₈D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64		C8.28D8	128,401
C₈.₂₉D₈ = C₈.₂₉D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	16	4	C8.29D8	128,91
C₈.₃₀D₈ = C₈.₃₀D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64		C8.30D8	128,92
C₈.₃₁D₈ = C₈.₃₁D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	64		C8.31D8	128,62
C₈.₃₂D₈ = C₈.₃₂D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₈	16	4	C8.32D8	128,68
C₈.₃₃D₈ = D₁₆⋊₅C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₈	32	4	C8.33D8	128,911
C₈.₃₄D₈ = D₄⋊C₁₆	central extension (φ=1)	64		C8.34D8	128,61
C₈.₃₅D₈ = C₈≀C₂	central extension (φ=1)	16	2	C8.35D8	128,67
C₈.₃₆D₈ = C₈.₃₆D₈	central extension (φ=1)	128		C8.36D8	128,102
C₈.₃₇D₈ = C₁₆.₃C₈	central extension (φ=1)	32	2	C8.37D8	128,105

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Extensions 1→N→G→Q→1 with N=C8 and Q=D8

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₈