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

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

		d	ρ	Label	ID
C₂×C₈²		128		C2xC8^2	128,179

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

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₂×C₈) = M₄(2)⋊₁C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	64	C8:1(C2xC8)	128,297
C₈⋊₂(C₂×C₈) = SD₁₆⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	64	C8:2(C2xC8)	128,310
C₈⋊₃(C₂×C₈) = D₈⋊₅C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	64	C8:3(C2xC8)	128,312
C₈⋊₄(C₂×C₈) = C₈×D₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	64	C8:4(C2xC8)	128,307
C₈⋊₅(C₂×C₈) = C₈×SD₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	64	C8:5(C2xC8)	128,308
C₈⋊₆(C₂×C₈) = C₈×M₄(2)	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	64	C8:6(C2xC8)	128,181
C₈⋊₇(C₂×C₈) = C₂×C₈⋊₁C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128	C8:7(C2xC8)	128,295
C₈⋊₈(C₂×C₈) = C₂×C₈⋊₂C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128	C8:8(C2xC8)	128,294
C₈⋊₉(C₂×C₈) = C₂×C₈⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128	C8:9(C2xC8)	128,180

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂×C₈) = D₈⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	64		C8.1(C2xC8)	128,65
C₈.₂(C₂×C₈) = Q₁₆⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	128		C8.2(C2xC8)	128,66
C₈.₃(C₂×C₈) = C₈.₃₂D₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	16	4	C8.3(C2xC8)	128,68
C₈.₄(C₂×C₈) = Q₁₆⋊₅C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	128		C8.4(C2xC8)	128,311
C₈.₅(C₂×C₈) = M₄(2).₁C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	32	4	C8.5(C2xC8)	128,885
C₈.₆(C₂×C₈) = D₈.C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₈	32	4	C8.6(C2xC8)	128,903
C₈.₇(C₂×C₈) = C₄.₁₆D₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	64		C8.7(C2xC8)	128,63
C₈.₈(C₂×C₈) = Q₁₆⋊₁C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	128		C8.8(C2xC8)	128,64
C₈.₉(C₂×C₈) = C₈≀C₂	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	16	2	C8.9(C2xC8)	128,67
C₈.₁₀(C₂×C₈) = C₈×Q₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	128		C8.10(C2xC8)	128,309
C₈.₁₁(C₂×C₈) = C₁₆○D₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	32	2	C8.11(C2xC8)	128,902
C₈.₁₂(C₂×C₈) = C₁₆○₂M₅(2)	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	64		C8.12(C2xC8)	128,840
C₈.₁₃(C₂×C₈) = D₄○C₃₂	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₈	64	2	C8.13(C2xC8)	128,990
C₈.₁₄(C₂×C₈) = C₁₆⋊₃C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.14(C2xC8)	128,103
C₈.₁₅(C₂×C₈) = C₁₆⋊₄C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.15(C2xC8)	128,104
C₈.₁₆(C₂×C₈) = C₁₆.₃C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	32	2	C8.16(C2xC8)	128,105
C₈.₁₇(C₂×C₈) = C₄².₄₂Q₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.17(C2xC8)	128,296
C₈.₁₈(C₂×C₈) = C₂×C₈.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	32		C8.18(C2xC8)	128,884
C₈.₁₉(C₂×C₈) = C₁₆⋊₁C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.19(C2xC8)	128,100
C₈.₂₀(C₂×C₈) = C₁₆.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.20(C2xC8)	128,101
C₈.₂₁(C₂×C₈) = C₁₆⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.21(C2xC8)	128,45
C₈.₂₂(C₂×C₈) = C₃₂⋊C₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	32	4	C8.22(C2xC8)	128,130
C₈.₂₃(C₂×C₈) = C₈²⋊C₂	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.23(C2xC8)	128,182
C₈.₂₄(C₂×C₈) = C₂×C₁₆⋊₅C₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	128		C8.24(C2xC8)	128,838
C₈.₂₅(C₂×C₈) = C₄×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.25(C2xC8)	128,839
C₈.₂₆(C₂×C₈) = C₂×M₆(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₈	64		C8.26(C2xC8)	128,989
C₈.₂₇(C₂×C₈) = C₁₆⋊₅C₈	central extension (φ=1)	128		C8.27(C2xC8)	128,43
C₈.₂₈(C₂×C₈) = C₃₂⋊₅C₄	central extension (φ=1)	128		C8.28(C2xC8)	128,129
C₈.₂₉(C₂×C₈) = M₇(2)	central extension (φ=1)	64	2	C8.29(C2xC8)	128,160

⋊

ℤ

𝔽

○

≀

ℚ

◁

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

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