Extensions 1→N→G→Q→1 with N=C10 and Q=C2×Dic3

Direct product G=N×Q with N=C10 and Q=C2×Dic3
dρLabelID
Dic3×C2×C10240Dic3xC2xC10240,173

Semidirect products G=N:Q with N=C10 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C10⋊(C2×Dic3) = C22×C3⋊F5φ: C2×Dic3/C6C4 ⊆ Aut C1060C10:(C2xDic3)240,201
C102(C2×Dic3) = C2×D5×Dic3φ: C2×Dic3/Dic3C2 ⊆ Aut C10120C10:2(C2xDic3)240,139
C103(C2×Dic3) = C22×Dic15φ: C2×Dic3/C2×C6C2 ⊆ Aut C10240C10:3(C2xDic3)240,183

Non-split extensions G=N.Q with N=C10 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C10.1(C2×Dic3) = C60.C4φ: C2×Dic3/C6C4 ⊆ Aut C101204C10.1(C2xDic3)240,118
C10.2(C2×Dic3) = C12.F5φ: C2×Dic3/C6C4 ⊆ Aut C101204C10.2(C2xDic3)240,119
C10.3(C2×Dic3) = C4×C3⋊F5φ: C2×Dic3/C6C4 ⊆ Aut C10604C10.3(C2xDic3)240,120
C10.4(C2×Dic3) = C60⋊C4φ: C2×Dic3/C6C4 ⊆ Aut C10604C10.4(C2xDic3)240,121
C10.5(C2×Dic3) = C2×C15⋊C8φ: C2×Dic3/C6C4 ⊆ Aut C10240C10.5(C2xDic3)240,122
C10.6(C2×Dic3) = C158M4(2)φ: C2×Dic3/C6C4 ⊆ Aut C101204C10.6(C2xDic3)240,123
C10.7(C2×Dic3) = D10.D6φ: C2×Dic3/C6C4 ⊆ Aut C10604C10.7(C2xDic3)240,124
C10.8(C2×Dic3) = D5×C3⋊C8φ: C2×Dic3/Dic3C2 ⊆ Aut C101204C10.8(C2xDic3)240,7
C10.9(C2×Dic3) = C20.32D6φ: C2×Dic3/Dic3C2 ⊆ Aut C101204C10.9(C2xDic3)240,10
C10.10(C2×Dic3) = Dic3×Dic5φ: C2×Dic3/Dic3C2 ⊆ Aut C10240C10.10(C2xDic3)240,25
C10.11(C2×Dic3) = D10⋊Dic3φ: C2×Dic3/Dic3C2 ⊆ Aut C10120C10.11(C2xDic3)240,26
C10.12(C2×Dic3) = C30.Q8φ: C2×Dic3/Dic3C2 ⊆ Aut C10240C10.12(C2xDic3)240,29
C10.13(C2×Dic3) = C2×C153C8φ: C2×Dic3/C2×C6C2 ⊆ Aut C10240C10.13(C2xDic3)240,70
C10.14(C2×Dic3) = C60.7C4φ: C2×Dic3/C2×C6C2 ⊆ Aut C101202C10.14(C2xDic3)240,71
C10.15(C2×Dic3) = C4×Dic15φ: C2×Dic3/C2×C6C2 ⊆ Aut C10240C10.15(C2xDic3)240,72
C10.16(C2×Dic3) = C605C4φ: C2×Dic3/C2×C6C2 ⊆ Aut C10240C10.16(C2xDic3)240,74
C10.17(C2×Dic3) = C30.38D4φ: C2×Dic3/C2×C6C2 ⊆ Aut C10120C10.17(C2xDic3)240,80
C10.18(C2×Dic3) = C10×C3⋊C8central extension (φ=1)240C10.18(C2xDic3)240,54
C10.19(C2×Dic3) = C5×C4.Dic3central extension (φ=1)1202C10.19(C2xDic3)240,55
C10.20(C2×Dic3) = Dic3×C20central extension (φ=1)240C10.20(C2xDic3)240,56
C10.21(C2×Dic3) = C5×C4⋊Dic3central extension (φ=1)240C10.21(C2xDic3)240,58
C10.22(C2×Dic3) = C5×C6.D4central extension (φ=1)120C10.22(C2xDic3)240,64

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