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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⋊Dic3480C10xC4:Dic3480,804

Semidirect products G=N:Q with N=C10 and Q=C4⋊Dic3
extensionφ:Q→Aut NdρLabelID
C10⋊(C4⋊Dic3) = C2×C60⋊C4φ: C4⋊Dic3/C12 → C4 ⊆ Aut C10120C10:(C4:Dic3)480,1064
C10⋊2(C4⋊Dic3) = C2×C30.Q8φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C10480C10:2(C4:Dic3)480,617
C10⋊3(C4⋊Dic3) = C2×C60⋊5C4φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C10480C10:3(C4:Dic3)480,890

Non-split extensions G=N.Q with N=C10 and Q=C4⋊Dic3
extensionφ:Q→Aut NdρLabelID
C10.1(C4⋊Dic3) = C120⋊C4φ: C4⋊Dic3/C12 → C4 ⊆ Aut C101204C10.1(C4:Dic3)480,298
C10.2(C4⋊Dic3) = D5.D24φ: C4⋊Dic3/C12 → C4 ⊆ Aut C101204C10.2(C4:Dic3)480,299
C10.3(C4⋊Dic3) = C40.Dic3φ: C4⋊Dic3/C12 → C4 ⊆ Aut C102404C10.3(C4:Dic3)480,300
C10.4(C4⋊Dic3) = C24.1F5φ: C4⋊Dic3/C12 → C4 ⊆ Aut C102404C10.4(C4:Dic3)480,301
C10.5(C4⋊Dic3) = C60⋊C8φ: C4⋊Dic3/C12 → C4 ⊆ Aut C10480C10.5(C4:Dic3)480,306
C10.6(C4⋊Dic3) = Dic5.13D12φ: C4⋊Dic3/C12 → C4 ⊆ Aut C10480C10.6(C4:Dic3)480,309
C10.7(C4⋊Dic3) = D10.10D12φ: C4⋊Dic3/C12 → C4 ⊆ Aut C10120C10.7(C4:Dic3)480,311
C10.8(C4⋊Dic3) = C60.13Q8φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C10480C10.8(C4:Dic3)480,58
C10.9(C4⋊Dic3) = C60.7Q8φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C10480C10.9(C4:Dic3)480,61
C10.10(C4⋊Dic3) = C60.8Q8φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C10480C10.10(C4:Dic3)480,64
C10.11(C4⋊Dic3) = C60.105D4φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C102404C10.11(C4:Dic3)480,67
C10.12(C4⋊Dic3) = C30.24C42φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C10480C10.12(C4:Dic3)480,70
C10.13(C4⋊Dic3) = C60⋊5C8φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C10480C10.13(C4:Dic3)480,164
C10.14(C4⋊Dic3) = C120⋊10C4φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C10480C10.14(C4:Dic3)480,177
C10.15(C4⋊Dic3) = C120⋊9C4φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C10480C10.15(C4:Dic3)480,178
C10.16(C4⋊Dic3) = C4.18D60φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C102402C10.16(C4:Dic3)480,179
C10.17(C4⋊Dic3) = C30.29C42φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C10480C10.17(C4:Dic3)480,191
C10.18(C4⋊Dic3) = C5×C12⋊C8central extension (φ=1)480C10.18(C4:Dic3)480,123
C10.19(C4⋊Dic3) = C5×C8⋊Dic3central extension (φ=1)480C10.19(C4:Dic3)480,136
C10.20(C4⋊Dic3) = C5×C24⋊1C4central extension (φ=1)480C10.20(C4:Dic3)480,137
C10.21(C4⋊Dic3) = C5×C24.C4central extension (φ=1)2402C10.21(C4:Dic3)480,138
C10.22(C4⋊Dic3) = C5×C6.C42central extension (φ=1)480C10.22(C4:Dic3)480,150

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