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

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

Semidirect products G=N:Q with N=C3×C18 and Q=C32
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊1C32 = C2×C34.C3φ: C32/C1 → C32 ⊆ Aut C3×C1854(C3xC18):1C3^2486,197
(C3×C18)⋊2C32 = C2×He3.C32φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18):2C3^2486,216
(C3×C18)⋊3C32 = C2×He3⋊C32φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18):3C3^2486,217
(C3×C18)⋊4C32 = C2×3- 1+4φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18):4C3^2486,255
(C3×C18)⋊5C32 = C6×C32⋊C9φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18):5C3^2486,191
(C3×C18)⋊6C32 = C6×He3.C3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18):6C3^2486,211
(C3×C18)⋊7C32 = C6×He3⋊C3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18):7C3^2486,212
(C3×C18)⋊8C32 = C3×C6×3- 1+2φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18):8C3^2486,252
(C3×C18)⋊9C32 = C6×C9○He3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18):9C3^2486,253

Non-split extensions G=N.Q with N=C3×C18 and Q=C32
extensionφ:Q→Aut NdρLabelID
(C3×C18).1C32 = C2×C27⋊C9φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18).1C3^2486,82
(C3×C18).2C32 = C2×C32.He3φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18).2C3^2486,88
(C3×C18).3C32 = C2×C32.5He3φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18).3C3^2486,89
(C3×C18).4C32 = C2×C32.6He3φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18).4C3^2486,90
(C3×C18).5C32 = C2×C9⋊He3φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).5C3^2486,198
(C3×C18).6C32 = C2×C32.23C33φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).6C3^2486,199
(C3×C18).7C32 = C2×C9⋊3- 1+2φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).7C3^2486,200
(C3×C18).8C32 = C2×C33.31C32φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).8C3^2486,201
(C3×C18).9C32 = C2×C92⋊7C3φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).9C3^2486,202
(C3×C18).10C32 = C2×C92⋊4C3φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).10C3^2486,203
(C3×C18).11C32 = C2×C92⋊5C3φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).11C3^2486,204
(C3×C18).12C32 = C2×C92⋊8C3φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).12C3^2486,205
(C3×C18).13C32 = C2×C92⋊9C3φ: C32/C1 → C32 ⊆ Aut C3×C18162(C3xC18).13C3^2486,206
(C3×C18).14C32 = C2×C32.C33φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18).14C3^2486,218
(C3×C18).15C32 = C2×C9.2He3φ: C32/C1 → C32 ⊆ Aut C3×C18549(C3xC18).15C3^2486,219
(C3×C18).16C32 = C2×C92⋊C3φ: C32/C3 → C3 ⊆ Aut C3×C18543(C3xC18).16C3^2486,85
(C3×C18).17C32 = C2×C92⋊2C3φ: C32/C3 → C3 ⊆ Aut C3×C18543(C3xC18).17C3^2486,86
(C3×C18).18C32 = C2×C92.C3φ: C32/C3 → C3 ⊆ Aut C3×C18543(C3xC18).18C3^2486,87
(C3×C18).19C32 = C2×C92⋊3C3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18).19C3^2486,193
(C3×C18).20C32 = C18×He3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18).20C3^2486,194
(C3×C18).21C32 = C6×C3.He3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18).21C3^2486,213
(C3×C18).22C32 = C2×C9.He3φ: C32/C3 → C3 ⊆ Aut C3×C18543(C3xC18).22C3^2486,214
(C3×C18).23C32 = C2×C9.4He3φ: C32/C3 → C3 ⊆ Aut C3×C18543(C3xC18).23C3^2486,76
(C3×C18).24C32 = C2×C9.5He3φ: C32/C3 → C3 ⊆ Aut C3×C181623(C3xC18).24C3^2486,79
(C3×C18).25C32 = C2×C9.6He3φ: C32/C3 → C3 ⊆ Aut C3×C181623(C3xC18).25C3^2486,80
(C3×C18).26C32 = C6×C9⋊C9φ: C32/C3 → C3 ⊆ Aut C3×C18486(C3xC18).26C3^2486,192
(C3×C18).27C32 = C18×3- 1+2φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18).27C3^2486,195
(C3×C18).28C32 = C6×C27⋊C3φ: C32/C3 → C3 ⊆ Aut C3×C18162(C3xC18).28C3^2486,208
(C3×C18).29C32 = C2×C27○He3φ: C32/C3 → C3 ⊆ Aut C3×C181623(C3xC18).29C3^2486,209
(C3×C18).30C32 = C2×C27⋊2C9central extension (φ=1)486(C3xC18).30C3^2486,71
(C3×C18).31C32 = C2×C32⋊C27central extension (φ=1)162(C3xC18).31C3^2486,72
(C3×C18).32C32 = C2×C9⋊C27central extension (φ=1)486(C3xC18).32C3^2486,81

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