Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆xD₅

Direct product G=NxQ with N=C₂² and Q=C₆xD₅

		d	ρ	Label	ID
D₅xC₂²xC₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₂² and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₆xD₅) = C₂xD₅xA₄	φ: C₆xD₅/D₁₀ → C₃ ⊆ Aut C₂²	30	6+	C2^2:(C6xD5)	240,198
C₂²:₂(C₆xD₅) = C₃xD₄xD₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₂²	60	4	C2^2:2(C6xD5)	240,159
C₂²:₃(C₆xD₅) = C₆xC₅:D₄	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:3(C6xD5)	240,164

Non-split extensions G=N.Q with N=C₂² and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₆xD₅) = C₃xD₄:₂D₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.1(C6xD5)	240,160
C₂².₂(C₆xD₅) = C₃xC₄oD₂₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.2(C6xD5)	240,158
C₂².₃(C₆xD₅) = C₁₂xDic₅	central extension (φ=1)	240		C2^2.3(C6xD5)	240,40
C₂².₄(C₆xD₅) = C₃xC₁₀.D₄	central extension (φ=1)	240		C2^2.4(C6xD5)	240,41
C₂².₅(C₆xD₅) = C₃xC₄:Dic₅	central extension (φ=1)	240		C2^2.5(C6xD5)	240,42
C₂².₆(C₆xD₅) = C₃xD₁₀:C₄	central extension (φ=1)	120		C2^2.6(C6xD5)	240,43
C₂².₇(C₆xD₅) = C₃xC₂³.D₅	central extension (φ=1)	120		C2^2.7(C6xD5)	240,48
C₂².₈(C₆xD₅) = C₆xDic₁₀	central extension (φ=1)	240		C2^2.8(C6xD5)	240,155
C₂².₉(C₆xD₅) = D₅xC₂xC₁₂	central extension (φ=1)	120		C2^2.9(C6xD5)	240,156
C₂².₁₀(C₆xD₅) = C₆xD₂₀	central extension (φ=1)	120		C2^2.10(C6xD5)	240,157
C₂².₁₁(C₆xD₅) = C₂xC₆xDic₅	central extension (φ=1)	240		C2^2.11(C6xD5)	240,163

׿

x

:

Z

F

o

wr

Q

<