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Extensions 1→N→G→Q→1 with N=C2×C32⋊C9 and Q=C3

Direct product G=N×Q with N=C2×C32⋊C9 and Q=C3
dρLabelID
C6×C32⋊C9162C6xC3^2:C9486,191

Semidirect products G=N:Q with N=C2×C32⋊C9 and Q=C3
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C9)⋊1C3 = C2×C32.24He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9):1C3486,63
(C2×C32⋊C9)⋊2C3 = C2×C33.C32φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9):2C3486,64
(C2×C32⋊C9)⋊3C3 = C2×C32.27He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9):3C3486,66
(C2×C32⋊C9)⋊4C3 = C2×C33⋊C9φ: C3/C1 → C3 ⊆ Out C2×C32⋊C954(C2xC3^2:C9):4C3486,73
(C2×C32⋊C9)⋊5C3 = C2×He3⋊C9φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9):5C3486,77
(C2×C32⋊C9)⋊6C3 = C2×C34.C3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C954(C2xC3^2:C9):6C3486,197
(C2×C32⋊C9)⋊7C3 = C2×C9⋊He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9):7C3486,198
(C2×C32⋊C9)⋊8C3 = C2×C32.23C33φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9):8C3486,199
(C2×C32⋊C9)⋊9C3 = C18×He3φ: trivial image162(C2xC3^2:C9):9C3486,194

Non-split extensions G=N.Q with N=C2×C32⋊C9 and Q=C3
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C9).1C3 = C2×C33.3C32φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).1C3486,65
(C2×C32⋊C9).2C3 = C2×C32.28He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).2C3486,67
(C2×C32⋊C9).3C3 = C2×C32.29He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).3C3486,68
(C2×C32⋊C9).4C3 = C2×C33.7C32φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).4C3486,69
(C2×C32⋊C9).5C3 = C2×C32.19He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).5C3486,74
(C2×C32⋊C9).6C3 = C2×C32.20He3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).6C3486,75
(C2×C32⋊C9).7C3 = C2×3- 1+2⋊C9φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).7C3486,78
(C2×C32⋊C9).8C3 = C2×C9⋊3- 1+2φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).8C3486,200
(C2×C32⋊C9).9C3 = C2×C33.31C32φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).9C3486,201
(C2×C32⋊C9).10C3 = C2×C92⋊7C3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).10C3486,202
(C2×C32⋊C9).11C3 = C2×C92⋊4C3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).11C3486,203
(C2×C32⋊C9).12C3 = C2×C92⋊5C3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).12C3486,204
(C2×C32⋊C9).13C3 = C2×C92⋊8C3φ: C3/C1 → C3 ⊆ Out C2×C32⋊C9162(C2xC3^2:C9).13C3486,205
(C2×C32⋊C9).14C3 = C2×C92⋊3C3φ: trivial image162(C2xC3^2:C9).14C3486,193
(C2×C32⋊C9).15C3 = C18×3- 1+2φ: trivial image162(C2xC3^2:C9).15C3486,195

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