Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D6⋊C4

Direct product G=N×Q with N=C3 and Q=C3×D6⋊C4
dρLabelID
C32×D6⋊C4144C3^2xD6:C4432,474

Semidirect products G=N:Q with N=C3 and Q=C3×D6⋊C4
extensionφ:Q→Aut NdρLabelID
C3⋊1(C3×D6⋊C4) = C3×C6.D12φ: C3×D6⋊C4/C6×Dic3 → C2 ⊆ Aut C348C3:1(C3xD6:C4)432,427
C3⋊2(C3×D6⋊C4) = C3×C6.11D12φ: C3×D6⋊C4/C6×C12 → C2 ⊆ Aut C3144C3:2(C3xD6:C4)432,490
C3⋊3(C3×D6⋊C4) = C3×D6⋊Dic3φ: C3×D6⋊C4/S3×C2×C6 → C2 ⊆ Aut C348C3:3(C3xD6:C4)432,426

Non-split extensions G=N.Q with N=C3 and Q=C3×D6⋊C4
extensionφ:Q→Aut NdρLabelID
C3.1(C3×D6⋊C4) = C3×D18⋊C4φ: C3×D6⋊C4/C6×C12 → C2 ⊆ Aut C3144C3.1(C3xD6:C4)432,134
C3.2(C3×D6⋊C4) = C62.21D6φ: C3×D6⋊C4/C6×C12 → C2 ⊆ Aut C372C3.2(C3xD6:C4)432,141
C3.3(C3×D6⋊C4) = D18⋊C12φ: C3×D6⋊C4/C6×C12 → C2 ⊆ Aut C372C3.3(C3xD6:C4)432,147
C3.4(C3×D6⋊C4) = C9×D6⋊C4central extension (φ=1)144C3.4(C3xD6:C4)432,135

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