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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C3×D4

Direct product G=N×Q with N=Dic5 and Q=C3×D4
dρLabelID
C3×D4×Dic5240C3xD4xDic5480,727

Semidirect products G=N:Q with N=Dic5 and Q=C3×D4
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C3×D4) = C3×C20⋊D4φ: C3×D4/C12 → C2 ⊆ Out Dic5240Dic5:1(C3xD4)480,733
Dic5⋊2(C3×D4) = C3×D10⋊D4φ: C3×D4/C2×C6 → C2 ⊆ Out Dic5240Dic5:2(C3xD4)480,677
Dic5⋊3(C3×D4) = C3×Dic5⋊D4φ: C3×D4/C2×C6 → C2 ⊆ Out Dic5240Dic5:3(C3xD4)480,732
Dic5⋊4(C3×D4) = C3×Dic5⋊4D4φ: trivial image240Dic5:4(C3xD4)480,674
Dic5⋊5(C3×D4) = C3×D20⋊8C4φ: trivial image240Dic5:5(C3xD4)480,686

Non-split extensions G=N.Q with N=Dic5 and Q=C3×D4
extensionφ:Q→Out NdρLabelID
Dic5.1(C3×D4) = C3×Dic5.D4φ: C3×D4/C6 → C22 ⊆ Out Dic52404Dic5.1(C3xD4)480,285
Dic5.2(C3×D4) = C3×D20⋊C4φ: C3×D4/C6 → C22 ⊆ Out Dic51208Dic5.2(C3xD4)480,287
Dic5.3(C3×D4) = C3×Q8⋊F5φ: C3×D4/C6 → C22 ⊆ Out Dic51208Dic5.3(C3xD4)480,289
Dic5.4(C3×D4) = C3×C23.F5φ: C3×D4/C6 → C22 ⊆ Out Dic51204Dic5.4(C3xD4)480,293
Dic5.5(C3×D4) = C3×Dic5.5D4φ: C3×D4/C12 → C2 ⊆ Out Dic5240Dic5.5(C3xD4)480,678
Dic5.6(C3×D4) = C3×C20⋊Q8φ: C3×D4/C12 → C2 ⊆ Out Dic5480Dic5.6(C3xD4)480,681
Dic5.7(C3×D4) = C3×D5×D8φ: C3×D4/C12 → C2 ⊆ Out Dic51204Dic5.7(C3xD4)480,703
Dic5.8(C3×D4) = C3×D5×SD16φ: C3×D4/C12 → C2 ⊆ Out Dic51204Dic5.8(C3xD4)480,706
Dic5.9(C3×D4) = C3×D5×Q16φ: C3×D4/C12 → C2 ⊆ Out Dic52404Dic5.9(C3xD4)480,710
Dic5.10(C3×D4) = C3×C40.C4φ: C3×D4/C12 → C2 ⊆ Out Dic52404Dic5.10(C3xD4)480,275
Dic5.11(C3×D4) = C3×D10.Q8φ: C3×D4/C12 → C2 ⊆ Out Dic52404Dic5.11(C3xD4)480,276
Dic5.12(C3×D4) = C3×C20⋊C8φ: C3×D4/C12 → C2 ⊆ Out Dic5480Dic5.12(C3xD4)480,281
Dic5.13(C3×D4) = C3×Dic5⋊C8φ: C3×D4/C12 → C2 ⊆ Out Dic5480Dic5.13(C3xD4)480,284
Dic5.14(C3×D4) = C3×Dic5.14D4φ: C3×D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.14(C3xD4)480,671
Dic5.15(C3×D4) = C3×D10⋊Q8φ: C3×D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.15(C3xD4)480,689
Dic5.16(C3×D4) = C3×D8⋊D5φ: C3×D4/C2×C6 → C2 ⊆ Out Dic51204Dic5.16(C3xD4)480,704
Dic5.17(C3×D4) = C3×D40⋊C2φ: C3×D4/C2×C6 → C2 ⊆ Out Dic51204Dic5.17(C3xD4)480,707
Dic5.18(C3×D4) = C3×SD16⋊D5φ: C3×D4/C2×C6 → C2 ⊆ Out Dic52404Dic5.18(C3xD4)480,708
Dic5.19(C3×D4) = C3×Q16⋊D5φ: C3×D4/C2×C6 → C2 ⊆ Out Dic52404Dic5.19(C3xD4)480,711
Dic5.20(C3×D4) = C3×D10⋊C8φ: C3×D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.20(C3xD4)480,283
Dic5.21(C3×D4) = C3×D4⋊F5φ: C3×D4/C2×C6 → C2 ⊆ Out Dic51208Dic5.21(C3xD4)480,288
Dic5.22(C3×D4) = C3×Q8⋊2F5φ: C3×D4/C2×C6 → C2 ⊆ Out Dic51208Dic5.22(C3xD4)480,290
Dic5.23(C3×D4) = C3×C23.2F5φ: C3×D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.23(C3xD4)480,292
Dic5.24(C3×D4) = C3×D8⋊3D5φ: trivial image2404Dic5.24(C3xD4)480,705
Dic5.25(C3×D4) = C3×SD16⋊3D5φ: trivial image2404Dic5.25(C3xD4)480,709
Dic5.26(C3×D4) = C3×Q8.D10φ: trivial image2404Dic5.26(C3xD4)480,712

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