Extensions 1→N→G→Q→1 with N=C12 and Q=C24

Direct product G=N×Q with N=C12 and Q=C24
dρLabelID
C12×C24288C12xC24288,314

Semidirect products G=N:Q with N=C12 and Q=C24
extensionφ:Q→Aut NdρLabelID
C121C24 = C3×C12⋊C8φ: C24/C12C2 ⊆ Aut C1296C12:1C24288,238
C122C24 = C12×C3⋊C8φ: C24/C12C2 ⊆ Aut C1296C12:2C24288,236
C123C24 = C32×C4⋊C8φ: C24/C12C2 ⊆ Aut C12288C12:3C24288,323

Non-split extensions G=N.Q with N=C12 and Q=C24
extensionφ:Q→Aut NdρLabelID
C12.1C24 = C3×C12.C8φ: C24/C12C2 ⊆ Aut C12482C12.1C24288,246
C12.2C24 = C3×C3⋊C32φ: C24/C12C2 ⊆ Aut C12962C12.2C24288,64
C12.3C24 = C6×C3⋊C16φ: C24/C12C2 ⊆ Aut C1296C12.3C24288,245
C12.4C24 = C9×C4⋊C8φ: C24/C12C2 ⊆ Aut C12288C12.4C24288,55
C12.5C24 = C9×M5(2)φ: C24/C12C2 ⊆ Aut C121442C12.5C24288,60
C12.6C24 = C32×M5(2)φ: C24/C12C2 ⊆ Aut C12144C12.6C24288,328

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