Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₀

Direct product G=N×Q with N=C₂³ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂⁴		80		D5xC2^4	160,237

Semidirect products G=N:Q with N=C₂³ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁D₁₀ = C₂³⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	40		C2^3:1D10	160,158
C₂³⋊₂D₁₀ = D₄⋊₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	40	4	C2^3:2D10	160,219
C₂³⋊₃D₁₀ = C₂×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	40		C2^3:3D10	160,217
C₂³⋊₄D₁₀ = C₂²×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3:4D10	160,227

Non-split extensions G=N.Q with N=C₂³ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₁₀ = C₂³.₁D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	40	4	C2^3.1D10	160,13
C₂³.₂D₁₀ = C₂³⋊Dic₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	40	4	C2^3.2D10	160,41
C₂³.₃D₁₀ = C₂³.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.3D10	160,100
C₂³.₄D₁₀ = D₁₀.₁₂D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.4D10	160,104
C₂³.₅D₁₀ = D₁₀⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.5D10	160,105
C₂³.₆D₁₀ = Dic₅.₅D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.6D10	160,106
C₂³.₇D₁₀ = C₂₀.₁₇D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.7D10	160,157
C₂³.₈D₁₀ = C₂₀⋊₂D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.8D10	160,159
C₂³.₉D₁₀ = Dic₅⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.9D10	160,160
C₂³.₁₀D₁₀ = C₂₀⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂³	80		C2^3.10D10	160,161
C₂³.₁₁D₁₀ = C₂³.₁₁D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.11D10	160,98
C₂³.₁₂D₁₀ = Dic₅.₁₄D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.12D10	160,99
C₂³.₁₃D₁₀ = D₅×C₂²⋊C₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	40		C2^3.13D10	160,101
C₂³.₁₄D₁₀ = Dic₅⋊₄D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.14D10	160,102
C₂³.₁₅D₁₀ = C₂²⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	40		C2^3.15D10	160,103
C₂³.₁₆D₁₀ = C₂².D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.16D10	160,107
C₂³.₁₇D₁₀ = D₄×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.17D10	160,155
C₂³.₁₈D₁₀ = C₂³.₁₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.18D10	160,156
C₂³.₁₉D₁₀ = C₂×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂³	80		C2^3.19D10	160,218
C₂³.₂₀D₁₀ = C₂₀.₄₈D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.20D10	160,145
C₂³.₂₁D₁₀ = C₂³.₂₁D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.21D10	160,147
C₂³.₂₂D₁₀ = C₄×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.22D10	160,149
C₂³.₂₃D₁₀ = C₂³.₂₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.23D10	160,150
C₂³.₂₄D₁₀ = C₂₀⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.24D10	160,151
C₂³.₂₅D₁₀ = C₂⁴⋊₂D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	40		C2^3.25D10	160,174
C₂³.₂₆D₁₀ = C₂×C₄○D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.26D10	160,216
C₂³.₂₇D₁₀ = C₁₀.₁₀C₄²	central extension (φ=1)	160		C2^3.27D10	160,38
C₂³.₂₈D₁₀ = C₂×C₄×Dic₅	central extension (φ=1)	160		C2^3.28D10	160,143
C₂³.₂₉D₁₀ = C₂×C₁₀.D₄	central extension (φ=1)	160		C2^3.29D10	160,144
C₂³.₃₀D₁₀ = C₂×C₄⋊Dic₅	central extension (φ=1)	160		C2^3.30D10	160,146
C₂³.₃₁D₁₀ = C₂×D₁₀⋊C₄	central extension (φ=1)	80		C2^3.31D10	160,148
C₂³.₃₂D₁₀ = C₂×C₂³.D₅	central extension (φ=1)	80		C2^3.32D10	160,173
C₂³.₃₃D₁₀ = C₂²×Dic₁₀	central extension (φ=1)	160		C2^3.33D10	160,213
C₂³.₃₄D₁₀ = D₅×C₂²×C₄	central extension (φ=1)	80		C2^3.34D10	160,214
C₂³.₃₅D₁₀ = C₂²×D₂₀	central extension (φ=1)	80		C2^3.35D10	160,215
C₂³.₃₆D₁₀ = C₂³×Dic₅	central extension (φ=1)	160		C2^3.36D10	160,226

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Extensions 1→N→G→Q→1 with N=C23 and Q=D10

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₀