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Extensions 1→N→G→Q→1 with N=C32×C18 and Q=C3

Direct product G=N×Q with N=C32×C18 and Q=C3
dρLabelID
C33×C18486C3^3xC18486,250

Semidirect products G=N:Q with N=C32×C18 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C32×C18)⋊1C3 = C2×He3⋊C9φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):1C3486,77
(C32×C18)⋊2C3 = C6×C32⋊C9φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):2C3486,191
(C32×C18)⋊3C3 = C18×He3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):3C3486,194
(C32×C18)⋊4C3 = C2×C32.23C33φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):4C3486,199
(C32×C18)⋊5C3 = C6×He3.C3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):5C3486,211
(C32×C18)⋊6C3 = C6×He3⋊C3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):6C3486,212
(C32×C18)⋊7C3 = C2×C9⋊He3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):7C3486,198
(C32×C18)⋊8C3 = C2×C9.He3φ: C3/C1 → C3 ⊆ Aut C32×C18543(C3^2xC18):8C3486,214
(C32×C18)⋊9C3 = C3×C6×3- 1+2φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):9C3486,252
(C32×C18)⋊10C3 = C6×C9○He3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18):10C3486,253

Non-split extensions G=N.Q with N=C32×C18 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C32×C18).1C3 = C2×C3.C92φ: C3/C1 → C3 ⊆ Aut C32×C18486(C3^2xC18).1C3486,62
(C32×C18).2C3 = C2×C32⋊C27φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).2C3486,72
(C32×C18).3C3 = C2×C32.19He3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).3C3486,74
(C32×C18).4C3 = C2×C32.20He3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).4C3486,75
(C32×C18).5C3 = C2×3- 1+2⋊C9φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).5C3486,78
(C32×C18).6C3 = C6×C9⋊C9φ: C3/C1 → C3 ⊆ Aut C32×C18486(C3^2xC18).6C3486,192
(C32×C18).7C3 = C18×3- 1+2φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).7C3486,195
(C32×C18).8C3 = C2×C33.31C32φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).8C3486,201
(C32×C18).9C3 = C6×C3.He3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).9C3486,213
(C32×C18).10C3 = C2×C9.4He3φ: C3/C1 → C3 ⊆ Aut C32×C18543(C3^2xC18).10C3486,76
(C32×C18).11C3 = C2×C92⋊3C3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).11C3486,193
(C32×C18).12C3 = C2×C9⋊3- 1+2φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).12C3486,200
(C32×C18).13C3 = C6×C27⋊C3φ: C3/C1 → C3 ⊆ Aut C32×C18162(C3^2xC18).13C3486,208

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