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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C33

Direct product G=N×Q with N=C3×C6 and Q=C33
dρLabelID
C34×C6486C3^4xC6486,261

Semidirect products G=N:Q with N=C3×C6 and Q=C33
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C33 = C3×C6×He3φ: C33/C32 → C3 ⊆ Aut C3×C6162(C3xC6):C3^3486,251

Non-split extensions G=N.Q with N=C3×C6 and Q=C33
extensionφ:Q→Aut NdρLabelID
(C3×C6).1C33 = C6×C3≀C3φ: C33/C32 → C3 ⊆ Aut C3×C654(C3xC6).1C3^3486,210
(C3×C6).2C33 = C6×He3.C3φ: C33/C32 → C3 ⊆ Aut C3×C6162(C3xC6).2C3^3486,211
(C3×C6).3C33 = C6×He3⋊C3φ: C33/C32 → C3 ⊆ Aut C3×C6162(C3xC6).3C3^3486,212
(C3×C6).4C33 = C6×C3.He3φ: C33/C32 → C3 ⊆ Aut C3×C6162(C3xC6).4C3^3486,213
(C3×C6).5C33 = C2×C9.He3φ: C33/C32 → C3 ⊆ Aut C3×C6543(C3xC6).5C3^3486,214
(C3×C6).6C33 = C2×C33⋊C32φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).6C3^3486,215
(C3×C6).7C33 = C2×He3.C32φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).7C3^3486,216
(C3×C6).8C33 = C2×He3⋊C32φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).8C3^3486,217
(C3×C6).9C33 = C2×C32.C33φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).9C3^3486,218
(C3×C6).10C33 = C2×C9.2He3φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).10C3^3486,219
(C3×C6).11C33 = C3×C6×3- 1+2φ: C33/C32 → C3 ⊆ Aut C3×C6162(C3xC6).11C3^3486,252
(C3×C6).12C33 = C6×C9○He3φ: C33/C32 → C3 ⊆ Aut C3×C6162(C3xC6).12C3^3486,253
(C3×C6).13C33 = C2×3+ 1+4φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).13C3^3486,254
(C3×C6).14C33 = C2×3- 1+4φ: C33/C32 → C3 ⊆ Aut C3×C6549(C3xC6).14C3^3486,255
(C3×C6).15C33 = C6×C32⋊C9central extension (φ=1)162(C3xC6).15C3^3486,191
(C3×C6).16C33 = C6×C9⋊C9central extension (φ=1)486(C3xC6).16C3^3486,192
(C3×C6).17C33 = C2×C92⋊3C3central extension (φ=1)162(C3xC6).17C3^3486,193
(C3×C6).18C33 = C18×He3central extension (φ=1)162(C3xC6).18C3^3486,194
(C3×C6).19C33 = C18×3- 1+2central extension (φ=1)162(C3xC6).19C3^3486,195
(C3×C6).20C33 = C2×C32⋊He3central extension (φ=1)54(C3xC6).20C3^3486,196
(C3×C6).21C33 = C2×C34.C3central extension (φ=1)54(C3xC6).21C3^3486,197
(C3×C6).22C33 = C2×C9⋊He3central extension (φ=1)162(C3xC6).22C3^3486,198
(C3×C6).23C33 = C2×C32.23C33central extension (φ=1)162(C3xC6).23C3^3486,199
(C3×C6).24C33 = C2×C9⋊3- 1+2central extension (φ=1)162(C3xC6).24C3^3486,200
(C3×C6).25C33 = C2×C33.31C32central extension (φ=1)162(C3xC6).25C3^3486,201
(C3×C6).26C33 = C2×C92⋊7C3central extension (φ=1)162(C3xC6).26C3^3486,202
(C3×C6).27C33 = C2×C92⋊4C3central extension (φ=1)162(C3xC6).27C3^3486,203
(C3×C6).28C33 = C2×C92⋊5C3central extension (φ=1)162(C3xC6).28C3^3486,204
(C3×C6).29C33 = C2×C92⋊8C3central extension (φ=1)162(C3xC6).29C3^3486,205
(C3×C6).30C33 = C2×C92⋊9C3central extension (φ=1)162(C3xC6).30C3^3486,206

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