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Extensions 1→N→G→Q→1 with N=C32 and Q=He3⋊C2

Direct product G=N×Q with N=C32 and Q=He3⋊C2
dρLabelID
C32×He3⋊C281C3^2xHe3:C2486,230

Semidirect products G=N:Q with N=C32 and Q=He3⋊C2
extensionφ:Q→Aut NdρLabelID
C32⋊1(He3⋊C2) = C34⋊3S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32186C3^2:1(He3:C2)486,145
C32⋊2(He3⋊C2) = C34⋊6S3φ: He3⋊C2/C32 → S3 ⊆ Aut C3227C3^2:2(He3:C2)486,183
C32⋊3(He3⋊C2) = C3×He3⋊5S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3254C3^2:3(He3:C2)486,243
C32⋊4(He3⋊C2) = C34⋊13S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3254C3^2:4(He3:C2)486,248

Non-split extensions G=N.Q with N=C32 and Q=He3⋊C2
extensionφ:Q→Aut NdρLabelID
C32.1(He3⋊C2) = C92⋊2S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32273C3^2.1(He3:C2)486,61
C32.2(He3⋊C2) = C34.7S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32186C3^2.2(He3:C2)486,147
C32.3(He3⋊C2) = (C32×C9)⋊S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32546C3^2.3(He3:C2)486,149
C32.4(He3⋊C2) = C3×C33⋊S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32186C3^2.4(He3:C2)486,165
C32.5(He3⋊C2) = C3×He3.3S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32546C3^2.5(He3:C2)486,168
C32.6(He3⋊C2) = C3×He3⋊S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32546C3^2.6(He3:C2)486,171
C32.7(He3⋊C2) = C3×3- 1+2.S3φ: He3⋊C2/C32 → S3 ⊆ Aut C32546C3^2.7(He3:C2)486,174
C32.8(He3⋊C2) = C33⋊(C3×S3)φ: He3⋊C2/C32 → S3 ⊆ Aut C322718+C3^2.8(He3:C2)486,176
C32.9(He3⋊C2) = He3.C3⋊2C6φ: He3⋊C2/C32 → S3 ⊆ Aut C322718+C3^2.9(He3:C2)486,177
C32.10(He3⋊C2) = He3⋊(C3×S3)φ: He3⋊C2/C32 → S3 ⊆ Aut C322718+C3^2.10(He3:C2)486,178
C32.11(He3⋊C2) = C3.He3⋊C6φ: He3⋊C2/C32 → S3 ⊆ Aut C322718+C3^2.11(He3:C2)486,179
C32.12(He3⋊C2) = C3.2(C9⋊D9)φ: He3⋊C2/He3 → C2 ⊆ Aut C32162C3^2.12(He3:C2)486,42
C32.13(He3⋊C2) = (C3×He3)⋊S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.13(He3:C2)486,43
C32.14(He3⋊C2) = (C3×He3).S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.14(He3:C2)486,44
C32.15(He3⋊C2) = C33.(C3⋊S3)φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.15(He3:C2)486,45
C32.16(He3⋊C2) = C32⋊C9⋊6S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.16(He3:C2)486,46
C32.17(He3⋊C2) = C3.(C33⋊S3)φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.17(He3:C2)486,47
C32.18(He3⋊C2) = C3.(He3⋊S3)φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.18(He3:C2)486,48
C32.19(He3⋊C2) = C32⋊C9.10S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.19(He3:C2)486,49
C32.20(He3⋊C2) = C33⋊2D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3227C3^2.20(He3:C2)486,52
C32.21(He3⋊C2) = (C3×C9)⋊5D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.21(He3:C2)486,53
C32.22(He3⋊C2) = (C3×C9)⋊6D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.22(He3:C2)486,54
C32.23(He3⋊C2) = He3⋊2D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.23(He3:C2)486,56
C32.24(He3⋊C2) = 3- 1+2⋊D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.24(He3:C2)486,57
C32.25(He3⋊C2) = C3×C32⋊2D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3254C3^2.25(He3:C2)486,135
C32.26(He3⋊C2) = C33⋊6D9φ: He3⋊C2/He3 → C2 ⊆ Aut C3254C3^2.26(He3:C2)486,181
C32.27(He3⋊C2) = C34⋊7S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3227C3^2.27(He3:C2)486,185
C32.28(He3⋊C2) = He3.(C3⋊S3)φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.28(He3:C2)486,186
C32.29(He3⋊C2) = C3⋊(He3⋊S3)φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.29(He3:C2)486,187
C32.30(He3⋊C2) = (C32×C9).S3φ: He3⋊C2/He3 → C2 ⊆ Aut C3281C3^2.30(He3:C2)486,188

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