Extensions 1→N→G→Q→1 with N=C₆ and Q=C₆xD₅

Direct product G=NxQ with N=C₆ and Q=C₆xD₅

		d	ρ	Label	ID
D₅xC₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₆ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₆xD₅) = S₃xC₆xD₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	60	4	C6:1(C6xD5)	360,151
C₆:₂(C₆xD₅) = C₂xC₆xD₁₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₆	120		C6:2(C6xD5)	360,159

Non-split extensions G=N.Q with N=C₆ and Q=C₆xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₆xD₅) = C₃xD₅xDic₃	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	60	4	C6.1(C6xD5)	360,58
C₆.₂(C₆xD₅) = C₃xS₃xDic₅	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	120	4	C6.2(C6xD5)	360,59
C₆.₃(C₆xD₅) = C₃xD₃₀.C₂	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	120	4	C6.3(C6xD5)	360,60
C₆.₄(C₆xD₅) = C₃xC₁₅:D₄	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	60	4	C6.4(C6xD5)	360,61
C₆.₅(C₆xD₅) = C₃xC₃:D₂₀	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	60	4	C6.5(C6xD5)	360,62
C₆.₆(C₆xD₅) = C₃xC₅:D₁₂	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	120	4	C6.6(C6xD5)	360,63
C₆.₇(C₆xD₅) = C₃xC₁₅:Q₈	φ: C₆xD₅/C₃xD₅ → C₂ ⊆ Aut C₆	120	4	C6.7(C6xD5)	360,64
C₆.₈(C₆xD₅) = C₃xDic₃₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₆	120	2	C6.8(C6xD5)	360,100
C₆.₉(C₆xD₅) = C₁₂xD₁₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₆	120	2	C6.9(C6xD5)	360,101
C₆.₁₀(C₆xD₅) = C₃xD₆₀	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₆	120	2	C6.10(C6xD5)	360,102
C₆.₁₁(C₆xD₅) = C₆xDic₁₅	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₆	120		C6.11(C6xD5)	360,103
C₆.₁₂(C₆xD₅) = C₃xC₁₅:₇D₄	φ: C₆xD₅/C₃₀ → C₂ ⊆ Aut C₆	60	2	C6.12(C6xD5)	360,104
C₆.₁₃(C₆xD₅) = C₉xDic₁₀	central extension (φ=1)	360	2	C6.13(C6xD5)	360,15
C₆.₁₄(C₆xD₅) = D₅xC₃₆	central extension (φ=1)	180	2	C6.14(C6xD5)	360,16
C₆.₁₅(C₆xD₅) = C₉xD₂₀	central extension (φ=1)	180	2	C6.15(C6xD5)	360,17
C₆.₁₆(C₆xD₅) = C₁₈xDic₅	central extension (φ=1)	360		C6.16(C6xD5)	360,18
C₆.₁₇(C₆xD₅) = C₉xC₅:D₄	central extension (φ=1)	180	2	C6.17(C6xD5)	360,19
C₆.₁₈(C₆xD₅) = D₅xC₂xC₁₈	central extension (φ=1)	180		C6.18(C6xD5)	360,47
C₆.₁₉(C₆xD₅) = C₃²xDic₁₀	central extension (φ=1)	360		C6.19(C6xD5)	360,90
C₆.₂₀(C₆xD₅) = D₅xC₃xC₁₂	central extension (φ=1)	180		C6.20(C6xD5)	360,91
C₆.₂₁(C₆xD₅) = C₃²xD₂₀	central extension (φ=1)	180		C6.21(C6xD5)	360,92
C₆.₂₂(C₆xD₅) = C₃xC₆xDic₅	central extension (φ=1)	360		C6.22(C6xD5)	360,93
C₆.₂₃(C₆xD₅) = C₃²xC₅:D₄	central extension (φ=1)	180		C6.23(C6xD5)	360,94

Extensions 1→N→G→Q→1 with N=C6 and Q=C6xD5

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₆xD₅