Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂xDic₅

Direct product G=NxQ with N=C₁₂ and Q=C₂xDic₅

		d	ρ	Label	ID
Dic₅xC₂xC₁₂		480		Dic5xC2xC12	480,715

Semidirect products G=N:Q with N=C₁₂ and Q=C₂xDic₅

extension	φ:Q→Aut N	d	Label	ID
C₁₂:₁(C₂xDic₅) = S₃xC₄:Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:1(C2xDic5)	480,502
C₁₂:₂(C₂xDic₅) = Dic₁₅:₈D₄	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:2(C2xDic5)	480,511
C₁₂:₃(C₂xDic₅) = D₄xDic₁₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240	C12:3(C2xDic5)	480,899
C₁₂:₄(C₂xDic₅) = Dic₅xD₁₂	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	C12:4(C2xDic5)	480,491
C₁₂:₅(C₂xDic₅) = C₄xS₃xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	C12:5(C2xDic5)	480,473
C₁₂:₆(C₂xDic₅) = C₃xD₄xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	C12:6(C2xDic5)	480,727
C₁₂:₇(C₂xDic₅) = C₂xC₆₀:₅C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480	C12:7(C2xDic5)	480,890
C₁₂:₈(C₂xDic₅) = C₂xC₄xDic₁₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480	C12:8(C2xDic5)	480,887
C₁₂:₉(C₂xDic₅) = C₆xC₄:Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480	C12:9(C2xDic5)	480,718

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₂xDic₅) = D₁₂:Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.1(C2xDic5)	480,42
C₁₂.₂(C₂xDic₅) = Dic₆:Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.2(C2xDic5)	480,48
C₁₂.₃(C₂xDic₅) = C₆₀.₉₈D₄	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.3(C2xDic5)	480,54
C₁₂.₄(C₂xDic₅) = C₆₀.Q₈	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.4(C2xDic5)	480,63
C₁₂.₅(C₂xDic₅) = C₆₀.₅Q₈	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.5(C2xDic5)	480,66
C₁₂.₆(C₂xDic₅) = C₁₂.₅₉D₂₀	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.6(C2xDic5)	480,69
C₁₂.₇(C₂xDic₅) = D₄:Dic₁₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.7(C2xDic5)	480,192
C₁₂.₈(C₂xDic₅) = Q₈:₂Dic₁₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.8(C2xDic5)	480,195
C₁₂.₉(C₂xDic₅) = Q₈:₃Dic₁₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.9(C2xDic5)	480,197
C₁₂.₁₀(C₂xDic₅) = S₃xC₄.Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	120	4	C12.10(C2xDic5)	480,363
C₁₂.₁₁(C₂xDic₅) = D₁₂.Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.11(C2xDic5)	480,364
C₁₂.₁₂(C₂xDic₅) = (S₃xC₂₀):₅C₄	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240		C12.12(C2xDic5)	480,414
C₁₂.₁₃(C₂xDic₅) = Dic₁₅:₇Q₈	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.13(C2xDic5)	480,420
C₁₂.₁₄(C₂xDic₅) = Q₈xDic₁₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	480		C12.14(C2xDic5)	480,910
C₁₂.₁₅(C₂xDic₅) = D₄.Dic₁₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₁₂	240	4	C12.15(C2xDic5)	480,913
C₁₂.₁₆(C₂xDic₅) = C₁₀.D₂₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240		C12.16(C2xDic5)	480,43
C₁₂.₁₇(C₂xDic₅) = C₁₀.Dic₁₂	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.17(C2xDic5)	480,49
C₁₂.₁₈(C₂xDic₅) = C₆₀.₉₉D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	120	4	C12.18(C2xDic5)	480,55
C₁₂.₁₉(C₂xDic₅) = D₁₂.₂Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	4	C12.19(C2xDic5)	480,362
C₁₂.₂₀(C₂xDic₅) = Dic₅xDic₆	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.20(C2xDic5)	480,408
C₁₂.₂₁(C₂xDic₅) = S₃xC₅:₂C₁₆	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	4	C12.21(C2xDic5)	480,8
C₁₂.₂₂(C₂xDic₅) = C₄₀.₅₂D₆	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	4	C12.22(C2xDic5)	480,11
C₁₂.₂₃(C₂xDic₅) = Dic₅xC₃:C₈	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.23(C2xDic5)	480,25
C₁₂.₂₄(C₂xDic₅) = Dic₁₅:₄C₈	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.24(C2xDic5)	480,27
C₁₂.₂₅(C₂xDic₅) = C₃₀.₂₁C₄²	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.25(C2xDic5)	480,28
C₁₂.₂₆(C₂xDic₅) = C₃₀.₂₃C₄²	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.26(C2xDic5)	480,30
C₁₂.₂₇(C₂xDic₅) = C₂xS₃xC₅:₂C₈	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240		C12.27(C2xDic5)	480,361
C₁₂.₂₈(C₂xDic₅) = C₂xD₆.Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240		C12.28(C2xDic5)	480,370
C₁₂.₂₉(C₂xDic₅) = (S₃xC₂₀):₇C₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240		C12.29(C2xDic5)	480,447
C₁₂.₃₀(C₂xDic₅) = C₃xD₄:Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240		C12.30(C2xDic5)	480,110
C₁₂.₃₁(C₂xDic₅) = C₃xQ₈:Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.31(C2xDic5)	480,113
C₁₂.₃₂(C₂xDic₅) = C₃xD₄:₂Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	120	4	C12.32(C2xDic5)	480,115
C₁₂.₃₃(C₂xDic₅) = C₃xQ₈xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	480		C12.33(C2xDic5)	480,738
C₁₂.₃₄(C₂xDic₅) = C₃xD₄.Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₁₂	240	4	C12.34(C2xDic5)	480,741
C₁₂.₃₅(C₂xDic₅) = C₁₂₀:₁₀C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.35(C2xDic5)	480,177
C₁₂.₃₆(C₂xDic₅) = C₁₂₀:₉C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.36(C2xDic5)	480,178
C₁₂.₃₇(C₂xDic₅) = C₄.₁₈D₆₀	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.37(C2xDic5)	480,179
C₁₂.₃₈(C₂xDic₅) = C₂xC₆₀.₇C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.38(C2xDic5)	480,886
C₁₂.₃₉(C₂xDic₅) = C₂xC₁₅:₃C₁₆	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.39(C2xDic5)	480,171
C₁₂.₄₀(C₂xDic₅) = C₆₀.₇C₈	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.40(C2xDic5)	480,172
C₁₂.₄₁(C₂xDic₅) = C₈xDic₁₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.41(C2xDic5)	480,173
C₁₂.₄₂(C₂xDic₅) = C₁₂₀:₁₃C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.42(C2xDic5)	480,175
C₁₂.₄₃(C₂xDic₅) = C₂²xC₁₅:₃C₈	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.43(C2xDic5)	480,885
C₁₂.₄₄(C₂xDic₅) = C₂³.₂₆D₃₀	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.44(C2xDic5)	480,891
C₁₂.₄₅(C₂xDic₅) = C₃xC₄₀:₆C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.45(C2xDic5)	480,95
C₁₂.₄₆(C₂xDic₅) = C₃xC₄₀:₅C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	480		C12.46(C2xDic5)	480,96
C₁₂.₄₇(C₂xDic₅) = C₃xC₄₀.₆C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.47(C2xDic5)	480,97
C₁₂.₄₈(C₂xDic₅) = C₆xC₄.Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₁₂	240		C12.48(C2xDic5)	480,714
C₁₂.₄₉(C₂xDic₅) = C₆xC₅:₂C₁₆	central extension (φ=1)	480		C12.49(C2xDic5)	480,89
C₁₂.₅₀(C₂xDic₅) = C₃xC₂₀.₄C₈	central extension (φ=1)	240	2	C12.50(C2xDic5)	480,90
C₁₂.₅₁(C₂xDic₅) = Dic₅xC₂₄	central extension (φ=1)	480		C12.51(C2xDic5)	480,91
C₁₂.₅₂(C₂xDic₅) = C₃xC₄₀:₈C₄	central extension (φ=1)	480		C12.52(C2xDic5)	480,93
C₁₂.₅₃(C₂xDic₅) = C₂xC₆xC₅:₂C₈	central extension (φ=1)	480		C12.53(C2xDic5)	480,713
C₁₂.₅₄(C₂xDic₅) = C₃xC₂³.₂₁D₁₀	central extension (φ=1)	240		C12.54(C2xDic5)	480,719

Extensions 1→N→G→Q→1 with N=C12 and Q=C2xDic5

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂xDic₅