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Extensions 1→N→G→Q→1 with N=C5 and Q=C12.55D4

Direct product G=N×Q with N=C5 and Q=C12.55D4
dρLabelID
C5×C12.55D4240C5xC12.55D4480,149

Semidirect products G=N:Q with N=C5 and Q=C12.55D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C12.55D4) = C30.7M4(2)φ: C12.55D4/C2×C12 → C4 ⊆ Aut C5240C5:1(C12.55D4)480,308
C5⋊2(C12.55D4) = C30.22M4(2)φ: C12.55D4/C22×C6 → C4 ⊆ Aut C5240C5:2(C12.55D4)480,317
C5⋊3(C12.55D4) = C60.93D4φ: C12.55D4/C2×C3⋊C8 → C2 ⊆ Aut C5240C5:3(C12.55D4)480,31
C5⋊4(C12.55D4) = C60.212D4φ: C12.55D4/C22×C12 → C2 ⊆ Aut C5240C5:4(C12.55D4)480,190


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