Extensions 1→N→G→Q→1 with N=C22 and Q=C3xC24

Direct product G=NxQ with N=C22 and Q=C3xC24
dρLabelID
C2xC6xC24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C22 and Q=C3xC24
extensionφ:Q→Aut NdρLabelID
C22:(C3xC24) = A4xC24φ: C3xC24/C24C3 ⊆ Aut C22723C2^2:(C3xC24)288,637
C22:2(C3xC24) = C32xC22:C8φ: C3xC24/C3xC12C2 ⊆ Aut C22144C2^2:2(C3xC24)288,316

Non-split extensions G=N.Q with N=C22 and Q=C3xC24
extensionφ:Q→Aut NdρLabelID
C22.(C3xC24) = C32xM5(2)φ: C3xC24/C3xC12C2 ⊆ Aut C22144C2^2.(C3xC24)288,328

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