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Extensions 1→N→G→Q→1 with N=C32×C6 and Q=C32

Direct product G=N×Q with N=C32×C6 and Q=C32
dρLabelID
C34×C6486C3^4xC6486,261

Semidirect products G=N:Q with N=C32×C6 and Q=C32
extensionφ:Q→Aut NdρLabelID
(C32×C6)⋊1C32 = C2×C32⋊He3φ: C32/C1 → C32 ⊆ Aut C32×C654(C3^2xC6):1C3^2486,196
(C32×C6)⋊2C32 = C2×C33⋊C32φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6):2C3^2486,215
(C32×C6)⋊3C32 = C2×3+ 1+4φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6):3C3^2486,254
(C32×C6)⋊4C32 = C6×C3≀C3φ: C32/C3 → C3 ⊆ Aut C32×C654(C3^2xC6):4C3^2486,210
(C32×C6)⋊5C32 = C3×C6×He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6):5C3^2486,251

Non-split extensions G=N.Q with N=C32×C6 and Q=C32
extensionφ:Q→Aut NdρLabelID
(C32×C6).1C32 = C2×C32.24He3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).1C3^2486,63
(C32×C6).2C32 = C2×C33.C32φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).2C3^2486,64
(C32×C6).3C32 = C2×C33.3C32φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).3C3^2486,65
(C32×C6).4C32 = C2×C32.27He3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).4C3^2486,66
(C32×C6).5C32 = C2×C32.28He3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).5C3^2486,67
(C32×C6).6C32 = C2×C32.29He3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).6C3^2486,68
(C32×C6).7C32 = C2×C33.7C32φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).7C3^2486,69
(C32×C6).8C32 = C2×C32.23C33φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).8C3^2486,199
(C32×C6).9C32 = C2×C92⋊7C3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).9C3^2486,202
(C32×C6).10C32 = C2×C92⋊4C3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).10C3^2486,203
(C32×C6).11C32 = C2×C92⋊5C3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).11C3^2486,204
(C32×C6).12C32 = C2×C92⋊8C3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).12C3^2486,205
(C32×C6).13C32 = C2×C92⋊9C3φ: C32/C1 → C32 ⊆ Aut C32×C6162(C3^2xC6).13C3^2486,206
(C32×C6).14C32 = C2×He3.C32φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6).14C3^2486,216
(C32×C6).15C32 = C2×He3⋊C32φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6).15C3^2486,217
(C32×C6).16C32 = C2×C32.C33φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6).16C3^2486,218
(C32×C6).17C32 = C2×C9.2He3φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6).17C3^2486,219
(C32×C6).18C32 = C2×3- 1+4φ: C32/C1 → C32 ⊆ Aut C32×C6549(C3^2xC6).18C3^2486,255
(C32×C6).19C32 = C2×C33⋊C9φ: C32/C3 → C3 ⊆ Aut C32×C654(C3^2xC6).19C3^2486,73
(C32×C6).20C32 = C2×C32.19He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).20C3^2486,74
(C32×C6).21C32 = C2×C32.20He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).21C3^2486,75
(C32×C6).22C32 = C2×He3⋊C9φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).22C3^2486,77
(C32×C6).23C32 = C2×3- 1+2⋊C9φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).23C3^2486,78
(C32×C6).24C32 = C2×C92⋊3C3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).24C3^2486,193
(C32×C6).25C32 = C18×He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).25C3^2486,194
(C32×C6).26C32 = C18×3- 1+2φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).26C3^2486,195
(C32×C6).27C32 = C2×C34.C3φ: C32/C3 → C3 ⊆ Aut C32×C654(C3^2xC6).27C3^2486,197
(C32×C6).28C32 = C2×C9⋊He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).28C3^2486,198
(C32×C6).29C32 = C2×C9⋊3- 1+2φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).29C3^2486,200
(C32×C6).30C32 = C2×C33.31C32φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).30C3^2486,201
(C32×C6).31C32 = C6×He3.C3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).31C3^2486,211
(C32×C6).32C32 = C6×He3⋊C3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).32C3^2486,212
(C32×C6).33C32 = C6×C3.He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).33C3^2486,213
(C32×C6).34C32 = C2×C9.He3φ: C32/C3 → C3 ⊆ Aut C32×C6543(C3^2xC6).34C3^2486,214
(C32×C6).35C32 = C3×C6×3- 1+2φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).35C3^2486,252
(C32×C6).36C32 = C6×C9○He3φ: C32/C3 → C3 ⊆ Aut C32×C6162(C3^2xC6).36C3^2486,253
(C32×C6).37C32 = C2×C3.C92central extension (φ=1)486(C3^2xC6).37C3^2486,62
(C32×C6).38C32 = C6×C32⋊C9central extension (φ=1)162(C3^2xC6).38C3^2486,191
(C32×C6).39C32 = C6×C9⋊C9central extension (φ=1)486(C3^2xC6).39C3^2486,192

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