Extensions 1→N→G→Q→1 with N=C5 and Q=C22×C12

Direct product G=N×Q with N=C5 and Q=C22×C12
dρLabelID
C22×C60240C2^2xC60240,185

Semidirect products G=N:Q with N=C5 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C5⋊(C22×C12) = C2×C6×F5φ: C22×C12/C2×C6C4 ⊆ Aut C560C5:(C2^2xC12)240,200
C52(C22×C12) = D5×C2×C12φ: C22×C12/C2×C12C2 ⊆ Aut C5120C5:2(C2^2xC12)240,156
C53(C22×C12) = C2×C6×Dic5φ: C22×C12/C22×C6C2 ⊆ Aut C5240C5:3(C2^2xC12)240,163


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