Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊D24

Direct product G=N×Q with N=C3 and Q=C3⋊D24
dρLabelID
C3×C3⋊D24484C3xC3:D24432,419

Semidirect products G=N:Q with N=C3 and Q=C3⋊D24
extensionφ:Q→Aut NdρLabelID
C3⋊1(C3⋊D24) = C33⋊8D8φ: C3⋊D24/C3×C3⋊C8 → C2 ⊆ Aut C372C3:1(C3:D24)432,438
C3⋊2(C3⋊D24) = C33⋊7D8φ: C3⋊D24/C3×D12 → C2 ⊆ Aut C372C3:2(C3:D24)432,437
C3⋊3(C3⋊D24) = C33⋊9D8φ: C3⋊D24/C12⋊S3 → C2 ⊆ Aut C3484C3:3(C3:D24)432,457

Non-split extensions G=N.Q with N=C3 and Q=C3⋊D24
extensionφ:Q→Aut NdρLabelID
C3.1(C3⋊D24) = C3⋊D72φ: C3⋊D24/C3×C3⋊C8 → C2 ⊆ Aut C3724+C3.1(C3:D24)432,64
C3.2(C3⋊D24) = C9⋊D24φ: C3⋊D24/C3×D12 → C2 ⊆ Aut C3724+C3.2(C3:D24)432,69
C3.3(C3⋊D24) = He3⋊3D8φ: C3⋊D24/C12⋊S3 → C2 ⊆ Aut C37212+C3.3(C3:D24)432,83

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