Extensions 1→N→G→Q→1 with N=C3 and Q=C3×He3

Direct product G=N×Q with N=C3 and Q=C3×He3
dρLabelID
C32×He381C3^2xHe3243,62


Non-split extensions G=N.Q with N=C3 and Q=C3×He3
extensionφ:Q→Aut NdρLabelID
C3.1(C3×He3) = C3×C32⋊C9central extension (φ=1)81C3.1(C3xHe3)243,32
C3.2(C3×He3) = C9×He3central extension (φ=1)81C3.2(C3xHe3)243,35
C3.3(C3×He3) = C32⋊He3central stem extension (φ=1)27C3.3(C3xHe3)243,37
C3.4(C3×He3) = C34.C3central stem extension (φ=1)27C3.4(C3xHe3)243,38
C3.5(C3×He3) = C9⋊He3central stem extension (φ=1)81C3.5(C3xHe3)243,39
C3.6(C3×He3) = C32.23C33central stem extension (φ=1)81C3.6(C3xHe3)243,40
C3.7(C3×He3) = C3×C3≀C3central stem extension (φ=1)27C3.7(C3xHe3)243,51
C3.8(C3×He3) = C3×He3.C3central stem extension (φ=1)81C3.8(C3xHe3)243,52
C3.9(C3×He3) = C3×He3⋊C3central stem extension (φ=1)81C3.9(C3xHe3)243,53
C3.10(C3×He3) = C3×C3.He3central stem extension (φ=1)81C3.10(C3xHe3)243,54
C3.11(C3×He3) = C9.He3central stem extension (φ=1)273C3.11(C3xHe3)243,55
C3.12(C3×He3) = C33⋊C32central stem extension (φ=1)279C3.12(C3xHe3)243,56
C3.13(C3×He3) = He3.C32central stem extension (φ=1)279C3.13(C3xHe3)243,57
C3.14(C3×He3) = He3⋊C32central stem extension (φ=1)279C3.14(C3xHe3)243,58
C3.15(C3×He3) = C32.C33central stem extension (φ=1)279C3.15(C3xHe3)243,59
C3.16(C3×He3) = C9.2He3central stem extension (φ=1)279C3.16(C3xHe3)243,60

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