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Extensions 1→N→G→Q→1 with N=C3 and Q=He3:4S3

Direct product G=NxQ with N=C3 and Q=He3:4S3
dρLabelID
C3xHe3:4S354C3xHe3:4S3486,229

Semidirect products G=N:Q with N=C3 and Q=He3:4S3
extensionφ:Q→Aut NdρLabelID
C3:(He3:4S3) = C34:10C6φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3:(He3:4S3)486,242

Non-split extensions G=N.Q with N=C3 and Q=He3:4S3
extensionφ:Q→Aut NdρLabelID
C3.1(He3:4S3) = C33:D9φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3.1(He3:4S3)486,137
C3.2(He3:4S3) = He3:3D9φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3.2(He3:4S3)486,142
C3.3(He3:4S3) = C34:4C6φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C327C3.3(He3:4S3)486,146
C3.4(He3:4S3) = C9:He3:2C2φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3.4(He3:4S3)486,148
C3.5(He3:4S3) = (C32xC9):C6φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3.5(He3:4S3)486,151
C3.6(He3:4S3) = C34:5C6φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C327C3.6(He3:4S3)486,167
C3.7(He3:4S3) = C32:4D9:C3φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3.7(He3:4S3)486,170
C3.8(He3:4S3) = He3:C3:3S3φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C381C3.8(He3:4S3)486,173
C3.9(He3:4S3) = C3wrC3.S3φ: He3:4S3/C3xHe3 → C2 ⊆ Aut C3276+C3.9(He3:4S3)486,175
C3.10(He3:4S3) = C33:C18central extension (φ=1)54C3.10(He3:4S3)486,136
C3.11(He3:4S3) = C34:3S3central stem extension (φ=1)186C3.11(He3:4S3)486,145
C3.12(He3:4S3) = (C32xC9):8S3central stem extension (φ=1)546C3.12(He3:4S3)486,150
C3.13(He3:4S3) = C34:5S3central stem extension (φ=1)186C3.13(He3:4S3)486,166
C3.14(He3:4S3) = He3.C3:S3central stem extension (φ=1)546C3.14(He3:4S3)486,169
C3.15(He3:4S3) = He3:C3:2S3central stem extension (φ=1)546C3.15(He3:4S3)486,172

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