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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C5⋊D4

Direct product G=N×Q with N=Dic3 and Q=C5⋊D4
dρLabelID
Dic3×C5⋊D4240Dic3xC5:D4480,629

Semidirect products G=N:Q with N=Dic3 and Q=C5⋊D4
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C5⋊D4) = Dic15⋊5D4φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic3240Dic3:1(C5:D4)480,643
Dic3⋊2(C5⋊D4) = (C6×D5)⋊D4φ: C5⋊D4/D10 → C2 ⊆ Out Dic3240Dic3:2(C5:D4)480,625
Dic3⋊3(C5⋊D4) = D30⋊7D4φ: C5⋊D4/D10 → C2 ⊆ Out Dic3240Dic3:3(C5:D4)480,633
Dic3⋊4(C5⋊D4) = D6⋊D20φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic3240Dic3:4(C5:D4)480,530
Dic3⋊5(C5⋊D4) = (C2×C6)⋊D20φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic3240Dic3:5(C5:D4)480,645
Dic3⋊6(C5⋊D4) = C15⋊17(C4×D4)φ: trivial image240Dic3:6(C5:D4)480,517
Dic3⋊7(C5⋊D4) = C15⋊22(C4×D4)φ: trivial image240Dic3:7(C5:D4)480,522
Dic3⋊8(C5⋊D4) = C15⋊28(C4×D4)φ: trivial image240Dic3:8(C5:D4)480,632

Non-split extensions G=N.Q with N=Dic3 and Q=C5⋊D4
extensionφ:Q→Out NdρLabelID
Dic3.1(C5⋊D4) = Dic15⋊Q8φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic3480Dic3.1(C5:D4)480,405
Dic3.2(C5⋊D4) = (C2×Dic6)⋊D5φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic3240Dic3.2(C5:D4)480,531
Dic3.3(C5⋊D4) = S3×D4⋊D5φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic31208+Dic3.3(C5:D4)480,555
Dic3.4(C5⋊D4) = S3×D4.D5φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic31208-Dic3.4(C5:D4)480,561
Dic3.5(C5⋊D4) = S3×Q8⋊D5φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic31208+Dic3.5(C5:D4)480,579
Dic3.6(C5⋊D4) = S3×C5⋊Q16φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic32408-Dic3.6(C5:D4)480,585
Dic3.7(C5⋊D4) = C23.D5⋊S3φ: C5⋊D4/Dic5 → C2 ⊆ Out Dic3240Dic3.7(C5:D4)480,601
Dic3.8(C5⋊D4) = D10⋊1Dic6φ: C5⋊D4/D10 → C2 ⊆ Out Dic3240Dic3.8(C5:D4)480,497
Dic3.9(C5⋊D4) = D30⋊3Q8φ: C5⋊D4/D10 → C2 ⊆ Out Dic3240Dic3.9(C5:D4)480,500
Dic3.10(C5⋊D4) = D20⋊10D6φ: C5⋊D4/D10 → C2 ⊆ Out Dic31208-Dic3.10(C5:D4)480,570
Dic3.11(C5⋊D4) = D12.9D10φ: C5⋊D4/D10 → C2 ⊆ Out Dic31208+Dic3.11(C5:D4)480,572
Dic3.12(C5⋊D4) = D20.28D6φ: C5⋊D4/D10 → C2 ⊆ Out Dic32408-Dic3.12(C5:D4)480,594
Dic3.13(C5⋊D4) = C60.44C23φ: C5⋊D4/D10 → C2 ⊆ Out Dic32408+Dic3.13(C5:D4)480,596
Dic3.14(C5⋊D4) = D6⋊Dic10φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic3240Dic3.14(C5:D4)480,428
Dic3.15(C5⋊D4) = D60.C22φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic31208+Dic3.15(C5:D4)480,556
Dic3.16(C5⋊D4) = C60.10C23φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic32408-Dic3.16(C5:D4)480,562
Dic3.17(C5⋊D4) = D12⋊D10φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic31208+Dic3.17(C5:D4)480,580
Dic3.18(C5⋊D4) = Dic10.26D6φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic32408-Dic3.18(C5:D4)480,586
Dic3.19(C5⋊D4) = (C2×C10)⋊8Dic6φ: C5⋊D4/C2×C10 → C2 ⊆ Out Dic3240Dic3.19(C5:D4)480,651
Dic3.20(C5⋊D4) = D20.24D6φ: trivial image2408-Dic3.20(C5:D4)480,569
Dic3.21(C5⋊D4) = C60.19C23φ: trivial image2408+Dic3.21(C5:D4)480,571
Dic3.22(C5⋊D4) = D20.27D6φ: trivial image2408-Dic3.22(C5:D4)480,593
Dic3.23(C5⋊D4) = Dic10.27D6φ: trivial image2408+Dic3.23(C5:D4)480,595

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