Extensions 1→N→G→Q→1 with N=C5 and Q=C6×C22⋊C4

Direct product G=N×Q with N=C5 and Q=C6×C22⋊C4
dρLabelID
C22⋊C4×C30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C5 and Q=C6×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C6×C22⋊C4) = C6×C22⋊F5φ: C6×C22⋊C4/C22×C6C4 ⊆ Aut C5120C5:(C6xC2^2:C4)480,1059
C52(C6×C22⋊C4) = C3×D5×C22⋊C4φ: C6×C22⋊C4/C3×C22⋊C4C2 ⊆ Aut C5120C5:2(C6xC2^2:C4)480,673
C53(C6×C22⋊C4) = C6×D10⋊C4φ: C6×C22⋊C4/C22×C12C2 ⊆ Aut C5240C5:3(C6xC2^2:C4)480,720
C54(C6×C22⋊C4) = C6×C23.D5φ: C6×C22⋊C4/C23×C6C2 ⊆ Aut C5240C5:4(C6xC2^2:C4)480,745


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