Extensions 1→N→G→Q→1 with N=C22 and Q=C24

Direct product G=N×Q with N=C22 and Q=C24
dρLabelID
C22×C2496C2^2xC2496,176

Semidirect products G=N:Q with N=C22 and Q=C24
extensionφ:Q→Aut NdρLabelID
C22⋊C24 = C8×A4φ: C24/C8C3 ⊆ Aut C22243C2^2:C2496,73
C222C24 = C3×C22⋊C8φ: C24/C12C2 ⊆ Aut C2248C2^2:2C2496,48

Non-split extensions G=N.Q with N=C22 and Q=C24
extensionφ:Q→Aut NdρLabelID
C22.C24 = C3×M5(2)φ: C24/C12C2 ⊆ Aut C22482C2^2.C2496,60

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