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

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

Semidirect products G=N:Q with N=C32 and Q=C32×C6
extensionφ:Q→Aut NdρLabelID
C32⋊(C32×C6) = C32×C32⋊C6φ: C32×C6/C32 → C6 ⊆ Aut C3254C3^2:(C3^2xC6)486,222
C32⋊2(C32×C6) = C3×C6×He3φ: C32×C6/C3×C6 → C3 ⊆ Aut C32162C3^2:2(C3^2xC6)486,251
C32⋊3(C32×C6) = S3×C34φ: C32×C6/C33 → C2 ⊆ Aut C32162C3^2:3(C3^2xC6)486,256
C32⋊4(C32×C6) = C3⋊S3×C33φ: C32×C6/C33 → C2 ⊆ Aut C3254C3^2:4(C3^2xC6)486,257

Non-split extensions G=N.Q with N=C32 and Q=C32×C6
extensionφ:Q→Aut NdρLabelID
C32.1(C32×C6) = C6×C3≀C3φ: C32×C6/C3×C6 → C3 ⊆ Aut C3254C3^2.1(C3^2xC6)486,210
C32.2(C32×C6) = C6×He3.C3φ: C32×C6/C3×C6 → C3 ⊆ Aut C32162C3^2.2(C3^2xC6)486,211
C32.3(C32×C6) = C6×He3⋊C3φ: C32×C6/C3×C6 → C3 ⊆ Aut C32162C3^2.3(C3^2xC6)486,212
C32.4(C32×C6) = C6×C3.He3φ: C32×C6/C3×C6 → C3 ⊆ Aut C32162C3^2.4(C3^2xC6)486,213
C32.5(C32×C6) = C2×C9.He3φ: C32×C6/C3×C6 → C3 ⊆ Aut C32543C3^2.5(C3^2xC6)486,214
C32.6(C32×C6) = C2×C33⋊C32φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.6(C3^2xC6)486,215
C32.7(C32×C6) = C2×He3.C32φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.7(C3^2xC6)486,216
C32.8(C32×C6) = C2×He3⋊C32φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.8(C3^2xC6)486,217
C32.9(C32×C6) = C2×C32.C33φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.9(C3^2xC6)486,218
C32.10(C32×C6) = C2×C9.2He3φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.10(C3^2xC6)486,219
C32.11(C32×C6) = C2×3+ 1+4φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.11(C3^2xC6)486,254
C32.12(C32×C6) = C2×3- 1+4φ: C32×C6/C3×C6 → C3 ⊆ Aut C32549C3^2.12(C3^2xC6)486,255
C32.13(C32×C6) = S3×C32×C9φ: C32×C6/C33 → C2 ⊆ Aut C32162C3^2.13(C3^2xC6)486,221
C32.14(C32×C6) = C3×S3×He3φ: C32×C6/C33 → C2 ⊆ Aut C3254C3^2.14(C3^2xC6)486,223
C32.15(C32×C6) = C3×S3×3- 1+2φ: C32×C6/C33 → C2 ⊆ Aut C3254C3^2.15(C3^2xC6)486,225
C32.16(C32×C6) = S3×C9○He3φ: C32×C6/C33 → C2 ⊆ Aut C32546C3^2.16(C3^2xC6)486,226
C32.17(C32×C6) = C6×C32⋊C9central extension (φ=1)162C3^2.17(C3^2xC6)486,191
C32.18(C32×C6) = C6×C9⋊C9central extension (φ=1)486C3^2.18(C3^2xC6)486,192
C32.19(C32×C6) = C2×C92⋊3C3central extension (φ=1)162C3^2.19(C3^2xC6)486,193
C32.20(C32×C6) = C18×He3central extension (φ=1)162C3^2.20(C3^2xC6)486,194
C32.21(C32×C6) = C18×3- 1+2central extension (φ=1)162C3^2.21(C3^2xC6)486,195
C32.22(C32×C6) = C3×C6×3- 1+2central extension (φ=1)162C3^2.22(C3^2xC6)486,252
C32.23(C32×C6) = C6×C9○He3central extension (φ=1)162C3^2.23(C3^2xC6)486,253
C32.24(C32×C6) = C2×C32⋊He3central stem extension (φ=1)54C3^2.24(C3^2xC6)486,196
C32.25(C32×C6) = C2×C34.C3central stem extension (φ=1)54C3^2.25(C3^2xC6)486,197
C32.26(C32×C6) = C2×C9⋊He3central stem extension (φ=1)162C3^2.26(C3^2xC6)486,198
C32.27(C32×C6) = C2×C32.23C33central stem extension (φ=1)162C3^2.27(C3^2xC6)486,199
C32.28(C32×C6) = C2×C9⋊3- 1+2central stem extension (φ=1)162C3^2.28(C3^2xC6)486,200
C32.29(C32×C6) = C2×C33.31C32central stem extension (φ=1)162C3^2.29(C3^2xC6)486,201
C32.30(C32×C6) = C2×C92⋊7C3central stem extension (φ=1)162C3^2.30(C3^2xC6)486,202
C32.31(C32×C6) = C2×C92⋊4C3central stem extension (φ=1)162C3^2.31(C3^2xC6)486,203
C32.32(C32×C6) = C2×C92⋊5C3central stem extension (φ=1)162C3^2.32(C3^2xC6)486,204
C32.33(C32×C6) = C2×C92⋊8C3central stem extension (φ=1)162C3^2.33(C3^2xC6)486,205
C32.34(C32×C6) = C2×C92⋊9C3central stem extension (φ=1)162C3^2.34(C3^2xC6)486,206

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