Extensions 1→N→G→Q→1 with N=C10 and Q=C3⋊Dic3

Direct product G=N×Q with N=C10 and Q=C3⋊Dic3
dρLabelID
C10×C3⋊Dic3360C10xC3:Dic3360,108

Semidirect products G=N:Q with N=C10 and Q=C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C10⋊(C3⋊Dic3) = C2×C323F5φ: C3⋊Dic3/C32C4 ⊆ Aut C1090C10:(C3:Dic3)360,147
C102(C3⋊Dic3) = C2×C3⋊Dic15φ: C3⋊Dic3/C3×C6C2 ⊆ Aut C10360C10:2(C3:Dic3)360,113

Non-split extensions G=N.Q with N=C10 and Q=C3⋊Dic3
extensionφ:Q→Aut NdρLabelID
C10.(C3⋊Dic3) = C30.Dic3φ: C3⋊Dic3/C32C4 ⊆ Aut C10360C10.(C3:Dic3)360,54
C10.2(C3⋊Dic3) = C60.S3φ: C3⋊Dic3/C3×C6C2 ⊆ Aut C10360C10.2(C3:Dic3)360,37
C10.3(C3⋊Dic3) = C5×C324C8central extension (φ=1)360C10.3(C3:Dic3)360,36

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