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Extensions 1→N→G→Q→1 with N=C10 and Q=C4.Dic3

Direct product G=N×Q with N=C10 and Q=C4.Dic3
dρLabelID
C10×C4.Dic3240C10xC4.Dic3480,800

Semidirect products G=N:Q with N=C10 and Q=C4.Dic3
extensionφ:Q→Aut NdρLabelID
C10⋊1(C4.Dic3) = C2×C12.F5φ: C4.Dic3/C12 → C4 ⊆ Aut C10240C10:1(C4.Dic3)480,1061
C10⋊2(C4.Dic3) = C2×C15⋊8M4(2)φ: C4.Dic3/C2×C6 → C4 ⊆ Aut C10240C10:2(C4.Dic3)480,1071
C10⋊3(C4.Dic3) = C2×C20.32D6φ: C4.Dic3/C3⋊C8 → C2 ⊆ Aut C10240C10:3(C4.Dic3)480,369
C10⋊4(C4.Dic3) = C2×C60.7C4φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C10240C10:4(C4.Dic3)480,886

Non-split extensions G=N.Q with N=C10 and Q=C4.Dic3
extensionφ:Q→Aut NdρLabelID
C10.1(C4.Dic3) = C60⋊C8φ: C4.Dic3/C12 → C4 ⊆ Aut C10480C10.1(C4.Dic3)480,306
C10.2(C4.Dic3) = C30.7M4(2)φ: C4.Dic3/C12 → C4 ⊆ Aut C10240C10.2(C4.Dic3)480,308
C10.3(C4.Dic3) = C30.11C42φ: C4.Dic3/C2×C6 → C4 ⊆ Aut C10480C10.3(C4.Dic3)480,307
C10.4(C4.Dic3) = Dic5.13D12φ: C4.Dic3/C2×C6 → C4 ⊆ Aut C10480C10.4(C4.Dic3)480,309
C10.5(C4.Dic3) = C30.22M4(2)φ: C4.Dic3/C2×C6 → C4 ⊆ Aut C10240C10.5(C4.Dic3)480,317
C10.6(C4.Dic3) = C30.21C42φ: C4.Dic3/C3⋊C8 → C2 ⊆ Aut C10480C10.6(C4.Dic3)480,28
C10.7(C4.Dic3) = C60.93D4φ: C4.Dic3/C3⋊C8 → C2 ⊆ Aut C10240C10.7(C4.Dic3)480,31
C10.8(C4.Dic3) = C60.13Q8φ: C4.Dic3/C3⋊C8 → C2 ⊆ Aut C10480C10.8(C4.Dic3)480,58
C10.9(C4.Dic3) = C42.D15φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C10480C10.9(C4.Dic3)480,163
C10.10(C4.Dic3) = C60⋊5C8φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C10480C10.10(C4.Dic3)480,164
C10.11(C4.Dic3) = C60.212D4φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C10240C10.11(C4.Dic3)480,190
C10.12(C4.Dic3) = C5×C42.S3central extension (φ=1)480C10.12(C4.Dic3)480,122
C10.13(C4.Dic3) = C5×C12⋊C8central extension (φ=1)480C10.13(C4.Dic3)480,123
C10.14(C4.Dic3) = C5×C12.55D4central extension (φ=1)240C10.14(C4.Dic3)480,149

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