Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C2×C10

Direct product G=N×Q with N=C4○D4 and Q=C2×C10
dρLabelID
C4○D4×C2×C10160C4oD4xC2xC10320,1631

Semidirect products G=N:Q with N=C4○D4 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C4○D41(C2×C10) = C5×D4○D8φ: C2×C10/C5C22 ⊆ Out C4○D4804C4oD4:1(C2xC10)320,1578
C4○D42(C2×C10) = C5×D4○SD16φ: C2×C10/C5C22 ⊆ Out C4○D4804C4oD4:2(C2xC10)320,1579
C4○D43(C2×C10) = C10×C4○D8φ: C2×C10/C10C2 ⊆ Out C4○D4160C4oD4:3(C2xC10)320,1574
C4○D44(C2×C10) = C10×C8⋊C22φ: C2×C10/C10C2 ⊆ Out C4○D480C4oD4:4(C2xC10)320,1575
C4○D45(C2×C10) = C5×D8⋊C22φ: C2×C10/C10C2 ⊆ Out C4○D4804C4oD4:5(C2xC10)320,1577
C4○D46(C2×C10) = C10×2+ 1+4φ: C2×C10/C10C2 ⊆ Out C4○D480C4oD4:6(C2xC10)320,1632
C4○D47(C2×C10) = C10×2- 1+4φ: C2×C10/C10C2 ⊆ Out C4○D4160C4oD4:7(C2xC10)320,1633
C4○D48(C2×C10) = C5×C2.C25φ: C2×C10/C10C2 ⊆ Out C4○D4804C4oD4:8(C2xC10)320,1634

Non-split extensions G=N.Q with N=C4○D4 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C4○D4.1(C2×C10) = C5×D44D4φ: C2×C10/C5C22 ⊆ Out C4○D4404C4oD4.1(C2xC10)320,954
C4○D4.2(C2×C10) = C5×D4.8D4φ: C2×C10/C5C22 ⊆ Out C4○D4804C4oD4.2(C2xC10)320,955
C4○D4.3(C2×C10) = C5×D4.9D4φ: C2×C10/C5C22 ⊆ Out C4○D4804C4oD4.3(C2xC10)320,956
C4○D4.4(C2×C10) = C5×D4.10D4φ: C2×C10/C5C22 ⊆ Out C4○D4804C4oD4.4(C2xC10)320,957
C4○D4.5(C2×C10) = C5×Q8○D8φ: C2×C10/C5C22 ⊆ Out C4○D41604C4oD4.5(C2xC10)320,1580
C4○D4.6(C2×C10) = C10×C4≀C2φ: C2×C10/C10C2 ⊆ Out C4○D480C4oD4.6(C2xC10)320,921
C4○D4.7(C2×C10) = C5×C42⋊C22φ: C2×C10/C10C2 ⊆ Out C4○D4804C4oD4.7(C2xC10)320,922
C4○D4.8(C2×C10) = C5×C8○D8φ: C2×C10/C10C2 ⊆ Out C4○D4802C4oD4.8(C2xC10)320,944
C4○D4.9(C2×C10) = C5×C8.26D4φ: C2×C10/C10C2 ⊆ Out C4○D4804C4oD4.9(C2xC10)320,945
C4○D4.10(C2×C10) = C5×D4.3D4φ: C2×C10/C10C2 ⊆ Out C4○D4804C4oD4.10(C2xC10)320,972
C4○D4.11(C2×C10) = C5×D4.4D4φ: C2×C10/C10C2 ⊆ Out C4○D4804C4oD4.11(C2xC10)320,973
C4○D4.12(C2×C10) = C5×D4.5D4φ: C2×C10/C10C2 ⊆ Out C4○D41604C4oD4.12(C2xC10)320,974
C4○D4.13(C2×C10) = C10×C8.C22φ: C2×C10/C10C2 ⊆ Out C4○D4160C4oD4.13(C2xC10)320,1576
C4○D4.14(C2×C10) = C10×C8○D4φ: trivial image160C4oD4.14(C2xC10)320,1569
C4○D4.15(C2×C10) = C5×Q8○M4(2)φ: trivial image804C4oD4.15(C2xC10)320,1570

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