Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C7⋊C3

Direct product G=N×Q with N=C10 and Q=C2×C7⋊C3
dρLabelID
C2×C10×C7⋊C3140C2xC10xC7:C3420,31

Semidirect products G=N:Q with N=C10 and Q=C2×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C10⋊(C2×C7⋊C3) = C2×D5×C7⋊C3φ: C2×C7⋊C3/C7⋊C3C2 ⊆ Aut C10706C10:(C2xC7:C3)420,18

Non-split extensions G=N.Q with N=C10 and Q=C2×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C10.(C2×C7⋊C3) = Dic5×C7⋊C3φ: C2×C7⋊C3/C7⋊C3C2 ⊆ Aut C101406C10.(C2xC7:C3)420,2
C10.2(C2×C7⋊C3) = C20×C7⋊C3central extension (φ=1)1403C10.2(C2xC7:C3)420,4

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