Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅×D₄

Direct product G=N×Q with N=C₈ and Q=C₅×D₄

		d	ρ	Label	ID
D₄×C₄₀		160		D4xC40	320,935

Semidirect products G=N:Q with N=C₈ and Q=C₅×D₄

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₅×D₄) = C₅×C₈⋊D₄	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	160	C8:1(C5xD4)	320,969
C₈⋊₂(C₅×D₄) = C₅×C₈⋊₂D₄	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	160	C8:2(C5xD4)	320,970
C₈⋊₃(C₅×D₄) = C₅×C₈⋊₃D₄	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	160	C8:3(C5xD4)	320,997
C₈⋊₄(C₅×D₄) = C₅×C₈⋊₄D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160	C8:4(C5xD4)	320,994
C₈⋊₅(C₅×D₄) = C₅×C₈⋊₅D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160	C8:5(C5xD4)	320,993
C₈⋊₆(C₅×D₄) = C₅×C₈⋊₆D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160	C8:6(C5xD4)	320,937
C₈⋊₇(C₅×D₄) = C₅×C₈⋊₇D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	C8:7(C5xD4)	320,967
C₈⋊₈(C₅×D₄) = C₅×C₈⋊₈D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	C8:8(C5xD4)	320,966
C₈⋊₉(C₅×D₄) = C₅×C₈⋊₉D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	C8:9(C5xD4)	320,936

Non-split extensions G=N.Q with N=C₈ and Q=C₅×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₅×D₄) = C₅×C₈.D₄	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	160		C8.1(C5xD4)	320,971
C₈.₂(C₅×D₄) = C₅×C₈.₂D₄	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	160		C8.2(C5xD4)	320,998
C₈.₃(C₅×D₄) = C₅×C₁₆⋊C₂²	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.3(C5xD4)	320,1010
C₈.₄(C₅×D₄) = C₅×Q₃₂⋊C₂	φ: C₅×D₄/C₁₀ → C₂² ⊆ Aut C₈	160	4	C8.4(C5xD4)	320,1011
C₈.₅(C₅×D₄) = C₅×D₃₂	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.5(C5xD4)	320,176
C₈.₆(C₅×D₄) = C₅×SD₆₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.6(C5xD4)	320,177
C₈.₇(C₅×D₄) = C₅×Q₆₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	320	2	C8.7(C5xD4)	320,178
C₈.₈(C₅×D₄) = C₅×C₄⋊Q₁₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	320		C8.8(C5xD4)	320,995
C₈.₉(C₅×D₄) = C₁₀×D₁₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160		C8.9(C5xD4)	320,1006
C₈.₁₀(C₅×D₄) = C₁₀×SD₃₂	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160		C8.10(C5xD4)	320,1007
C₈.₁₁(C₅×D₄) = C₁₀×Q₃₂	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	320		C8.11(C5xD4)	320,1008
C₈.₁₂(C₅×D₄) = C₅×C₈.₁₂D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160		C8.12(C5xD4)	320,996
C₈.₁₃(C₅×D₄) = C₅×C₄○D₁₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.13(C5xD4)	320,1009
C₈.₁₄(C₅×D₄) = C₅×C₂.D₁₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8.14(C5xD4)	320,162
C₈.₁₅(C₅×D₄) = C₅×C₂.Q₃₂	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	320		C8.15(C5xD4)	320,163
C₈.₁₆(C₅×D₄) = C₅×M₅(2)⋊C₂	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.16(C5xD4)	320,166
C₈.₁₇(C₅×D₄) = C₅×C₈.₁₇D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	4	C8.17(C5xD4)	320,167
C₈.₁₈(C₅×D₄) = C₅×C₈.₁₈D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160		C8.18(C5xD4)	320,968
C₈.₁₉(C₅×D₄) = C₅×D₄.₄D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.19(C5xD4)	320,973
C₈.₂₀(C₅×D₄) = C₅×D₄.₅D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	4	C8.20(C5xD4)	320,974
C₈.₂₁(C₅×D₄) = C₅×D₈.C₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	160	2	C8.21(C5xD4)	320,164
C₈.₂₂(C₅×D₄) = C₅×D₈⋊₂C₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.22(C5xD4)	320,165
C₈.₂₃(C₅×D₄) = C₅×D₄.₃D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.23(C5xD4)	320,972
C₈.₂₄(C₅×D₄) = C₅×C₂³.C₈	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.24(C5xD4)	320,154
C₈.₂₅(C₅×D₄) = C₅×C₈.₂₆D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₈	80	4	C8.25(C5xD4)	320,945
C₈.₂₆(C₅×D₄) = C₅×C₂²⋊C₁₆	central extension (φ=1)	160		C8.26(C5xD4)	320,153
C₈.₂₇(C₅×D₄) = C₅×D₄.C₈	central extension (φ=1)	160	2	C8.27(C5xD4)	320,155
C₈.₂₈(C₅×D₄) = C₅×C₄⋊C₁₆	central extension (φ=1)	320		C8.28(C5xD4)	320,168
C₈.₂₉(C₅×D₄) = C₅×C₈.C₈	central extension (φ=1)	80	2	C8.29(C5xD4)	320,169
C₈.₃₀(C₅×D₄) = C₅×C₈○D₈	central extension (φ=1)	80	2	C8.30(C5xD4)	320,944

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Extensions 1→N→G→Q→1 with N=C8 and Q=C5×D4

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅×D₄