Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂³

Direct product G=N×Q with N=Dic₅ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₅		160		C2^3xDic5	160,226

Semidirect products G=N:Q with N=Dic₅ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁C₂³ = C₂×D₄×D₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	40		Dic5:1C2^3	160,217
Dic₅⋊₂C₂³ = C₂²×C₅⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5:2C2^3	160,227
Dic₅⋊₃C₂³ = D₅×C₂²×C₄	φ: trivial image	80		Dic5:3C2^3	160,214

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₂³ = C₂²×Dic₁₀	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	160		Dic5.1C2^3	160,213
Dic₅.₂C₂³ = C₂×C₄○D₂₀	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5.2C2^3	160,216
Dic₅.₃C₂³ = C₂×D₄⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5.3C2^3	160,218
Dic₅.₄C₂³ = D₄⋊₆D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	40	4	Dic5.4C2^3	160,219
Dic₅.₅C₂³ = C₂×Q₈×D₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5.5C2^3	160,220
Dic₅.₆C₂³ = Q₈.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80	4	Dic5.6C2^3	160,222
Dic₅.₇C₂³ = D₄⋊₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	40	4+	Dic5.7C2^3	160,224
Dic₅.₈C₂³ = D₄.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80	4-	Dic5.8C2^3	160,225
Dic₅.₉C₂³ = C₂×D₅⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5.9C2^3	160,200
Dic₅.₁₀C₂³ = C₂×C₄.F₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5.10C2^3	160,201
Dic₅.₁₁C₂³ = D₅⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	40	4	Dic5.11C2^3	160,202
Dic₅.₁₂C₂³ = D₄.F₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80	8-	Dic5.12C2^3	160,206
Dic₅.₁₃C₂³ = Q₈.F₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80	8+	Dic5.13C2^3	160,208
Dic₅.₁₄C₂³ = C₂²×C₅⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	160		Dic5.14C2^3	160,210
Dic₅.₁₅C₂³ = C₂×C₂².F₅	φ: C₂³/C₂² → C₂ ⊆ Out Dic₅	80		Dic5.15C2^3	160,211
Dic₅.₁₆C₂³ = C₂×Q₈⋊₂D₅	φ: trivial image	80		Dic5.16C2^3	160,221
Dic₅.₁₇C₂³ = D₅×C₄○D₄	φ: trivial image	40	4	Dic5.17C2^3	160,223

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