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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×Dic3

Direct product G=N×Q with N=Dic5 and Q=C2×Dic3
dρLabelID
C2×Dic3×Dic5480C2xDic3xDic5480,603

Semidirect products G=N:Q with N=Dic5 and Q=C2×Dic3
extensionφ:Q→Out NdρLabelID
Dic5⋊(C2×Dic3) = D4×C3⋊F5φ: C2×Dic3/C6 → C22 ⊆ Out Dic5608Dic5:(C2xDic3)480,1067
Dic5⋊2(C2×Dic3) = Dic3×C5⋊D4φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic5240Dic5:2(C2xDic3)480,629
Dic5⋊3(C2×Dic3) = Dic15⋊16D4φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic5240Dic5:3(C2xDic3)480,635
Dic5⋊4(C2×Dic3) = D5×C4⋊Dic3φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5240Dic5:4(C2xDic3)480,488
Dic5⋊5(C2×Dic3) = C2×C30.Q8φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5480Dic5:5(C2xDic3)480,617
Dic5⋊6(C2×Dic3) = C2×C4×C3⋊F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5120Dic5:6(C2xDic3)480,1063
Dic5⋊7(C2×Dic3) = C2×C60⋊C4φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5120Dic5:7(C2xDic3)480,1064
Dic5⋊8(C2×Dic3) = C4×D5×Dic3φ: trivial image240Dic5:8(C2xDic3)480,467

Non-split extensions G=N.Q with N=Dic5 and Q=C2×Dic3
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×Dic3) = Dic10.Dic3φ: C2×Dic3/C6 → C22 ⊆ Out Dic52408Dic5.1(C2xDic3)480,1066
Dic5.2(C2×Dic3) = Q8×C3⋊F5φ: C2×Dic3/C6 → C22 ⊆ Out Dic51208Dic5.2(C2xDic3)480,1069
Dic5.3(C2×Dic3) = D20.3Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic52404Dic5.3(C2xDic3)480,359
Dic5.4(C2×Dic3) = D20.2Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic52404Dic5.4(C2xDic3)480,360
Dic5.5(C2×Dic3) = Dic3×Dic10φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic5480Dic5.5(C2xDic3)480,406
Dic5.6(C2×Dic3) = Dic15⋊6Q8φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic5480Dic5.6(C2xDic3)480,407
Dic5.7(C2×Dic3) = C30.C42φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic51208Dic5.7(C2xDic3)480,224
Dic5.8(C2×Dic3) = C30.4C42φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic51208Dic5.8(C2xDic3)480,226
Dic5.9(C2×Dic3) = Dic3×C5⋊C8φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic5480Dic5.9(C2xDic3)480,244
Dic5.10(C2×Dic3) = C30.M4(2)φ: C2×Dic3/Dic3 → C2 ⊆ Out Dic5480Dic5.10(C2xDic3)480,245
Dic5.11(C2×Dic3) = D5×C4.Dic3φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic51204Dic5.11(C2xDic3)480,358
Dic5.12(C2×Dic3) = C2×C20.32D6φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5240Dic5.12(C2xDic3)480,369
Dic5.13(C2×Dic3) = (D5×C12)⋊C4φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5240Dic5.13(C2xDic3)480,433
Dic5.14(C2×Dic3) = C2×C60.C4φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5240Dic5.14(C2xDic3)480,1060
Dic5.15(C2×Dic3) = C2×C12.F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5240Dic5.15(C2xDic3)480,1061
Dic5.16(C2×Dic3) = C60.59(C2×C4)φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic51204Dic5.16(C2xDic3)480,1062
Dic5.17(C2×Dic3) = (C2×C12)⋊6F5φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic51204Dic5.17(C2xDic3)480,1065
Dic5.18(C2×Dic3) = C22×C15⋊C8φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5480Dic5.18(C2xDic3)480,1070
Dic5.19(C2×Dic3) = C2×C15⋊8M4(2)φ: C2×Dic3/C2×C6 → C2 ⊆ Out Dic5240Dic5.19(C2xDic3)480,1071
Dic5.20(C2×Dic3) = C2×D5×C3⋊C8φ: trivial image240Dic5.20(C2xDic3)480,357
Dic5.21(C2×Dic3) = (C4×D5)⋊Dic3φ: trivial image240Dic5.21(C2xDic3)480,434
Dic5.22(C2×Dic3) = (C6×Dic5)⋊7C4φ: trivial image240Dic5.22(C2xDic3)480,604

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