Extensions 1→N→G→Q→1 with N=2+ 1+4 and Q=C10

Direct product G=NxQ with N=2+ 1+4 and Q=C10
dρLabelID
C10x2+ 1+480C10xES+(2,2)320,1632

Semidirect products G=N:Q with N=2+ 1+4 and Q=C10
extensionφ:Q→Out NdρLabelID
2+ 1+4:1C10 = C5xD4:4D4φ: C10/C5C2 ⊆ Out 2+ 1+4404ES+(2,2):1C10320,954
2+ 1+4:2C10 = C5xC2wrC22φ: C10/C5C2 ⊆ Out 2+ 1+4404ES+(2,2):2C10320,958
2+ 1+4:3C10 = C5xD4oD8φ: C10/C5C2 ⊆ Out 2+ 1+4804ES+(2,2):3C10320,1578
2+ 1+4:4C10 = C5xD4oSD16φ: C10/C5C2 ⊆ Out 2+ 1+4804ES+(2,2):4C10320,1579
2+ 1+4:5C10 = C5xC2.C25φ: trivial image804ES+(2,2):5C10320,1634

Non-split extensions G=N.Q with N=2+ 1+4 and Q=C10
extensionφ:Q→Out NdρLabelID
2+ 1+4.1C10 = C5xD4.9D4φ: C10/C5C2 ⊆ Out 2+ 1+4804ES+(2,2).1C10320,956
2+ 1+4.2C10 = C5xC23.7D4φ: C10/C5C2 ⊆ Out 2+ 1+4804ES+(2,2).2C10320,959

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