Extensions 1→N→G→Q→1 with N=C10 and Q=C5⋊D5

Direct product G=N×Q with N=C10 and Q=C5⋊D5
dρLabelID
C10×C5⋊D5100C10xC5:D5500,54

Semidirect products G=N:Q with N=C10 and Q=C5⋊D5
extensionφ:Q→Aut NdρLabelID
C10⋊(C5⋊D5) = C2×C53⋊C2φ: C5⋊D5/C52C2 ⊆ Aut C10250C10:(C5:D5)500,55

Non-split extensions G=N.Q with N=C10 and Q=C5⋊D5
extensionφ:Q→Aut NdρLabelID
C10.1(C5⋊D5) = C50.D5φ: C5⋊D5/C52C2 ⊆ Aut C10500C10.1(C5:D5)500,10
C10.2(C5⋊D5) = C2×C25⋊D5φ: C5⋊D5/C52C2 ⊆ Aut C10250C10.2(C5:D5)500,32
C10.3(C5⋊D5) = C5312C4φ: C5⋊D5/C52C2 ⊆ Aut C10500C10.3(C5:D5)500,39
C10.4(C5⋊D5) = He56C4central extension (φ=1)1005C10.4(C5:D5)500,11
C10.5(C5⋊D5) = C2×He5⋊C2central extension (φ=1)505C10.5(C5:D5)500,33
C10.6(C5⋊D5) = C5×C526C4central extension (φ=1)100C10.6(C5:D5)500,38

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