Extensions 1→N→G→Q→1 with N=C₄ and Q=C₆xD₅

Direct product G=NxQ with N=C₄ and Q=C₆xD₅

		d	ρ	Label	ID
D₅xC₂xC₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₄ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₆xD₅) = C₃xD₄xD₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	60	4	C4:1(C6xD5)	240,159
C₄:₂(C₆xD₅) = C₆xD₂₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₄	120		C4:2(C6xD5)	240,157

Non-split extensions G=N.Q with N=C₄ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆xD₅) = C₃xD₄:D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	120	4	C4.1(C6xD5)	240,44
C₄.₂(C₆xD₅) = C₃xD₄.D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	120	4	C4.2(C6xD5)	240,45
C₄.₃(C₆xD₅) = C₃xQ₈:D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	120	4	C4.3(C6xD5)	240,46
C₄.₄(C₆xD₅) = C₃xC₅:Q₁₆	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	240	4	C4.4(C6xD5)	240,47
C₄.₅(C₆xD₅) = C₃xD₄:₂D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	120	4	C4.5(C6xD5)	240,160
C₄.₆(C₆xD₅) = C₃xQ₈xD₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	120	4	C4.6(C6xD5)	240,161
C₄.₇(C₆xD₅) = C₃xQ₈:₂D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₄	120	4	C4.7(C6xD5)	240,162
C₄.₈(C₆xD₅) = C₃xC₄₀:C₂	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.8(C6xD5)	240,35
C₄.₉(C₆xD₅) = C₃xD₄₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.9(C6xD5)	240,36
C₄.₁₀(C₆xD₅) = C₃xDic₂₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₄	240	2	C4.10(C6xD5)	240,37
C₄.₁₁(C₆xD₅) = C₆xDic₁₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₄	240		C4.11(C6xD5)	240,155
C₄.₁₂(C₆xD₅) = D₅xC₂₄	central extension (φ=1)	120	2	C4.12(C6xD5)	240,33
C₄.₁₃(C₆xD₅) = C₃xC₈:D₅	central extension (φ=1)	120	2	C4.13(C6xD5)	240,34
C₄.₁₄(C₆xD₅) = C₆xC₅:₂C₈	central extension (φ=1)	240		C4.14(C6xD5)	240,38
C₄.₁₅(C₆xD₅) = C₃xC₄.Dic₅	central extension (φ=1)	120	2	C4.15(C6xD5)	240,39
C₄.₁₆(C₆xD₅) = C₃xC₄oD₂₀	central extension (φ=1)	120	2	C4.16(C6xD5)	240,158

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