Extensions 1→N→G→Q→1 with N=C22 and Q=D10⋊C4

Direct product G=N×Q with N=C22 and Q=D10⋊C4
dρLabelID
C22×D10⋊C4160C2^2xD10:C4320,1459

Semidirect products G=N:Q with N=C22 and Q=D10⋊C4
extensionφ:Q→Aut NdρLabelID
C221(D10⋊C4) = C23.45D20φ: D10⋊C4/C2×Dic5C2 ⊆ Aut C22160C2^2:1(D10:C4)320,585
C222(D10⋊C4) = C24.65D10φ: D10⋊C4/C2×C20C2 ⊆ Aut C22160C2^2:2(D10:C4)320,840
C223(D10⋊C4) = C24.48D10φ: D10⋊C4/C22×D5C2 ⊆ Aut C2280C2^2:3(D10:C4)320,582

Non-split extensions G=N.Q with N=C22 and Q=D10⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(D10⋊C4) = C4○D2010C4φ: D10⋊C4/C2×Dic5C2 ⊆ Aut C22160C2^2.1(D10:C4)320,629
C22.2(D10⋊C4) = C4.89(C2×D20)φ: D10⋊C4/C2×Dic5C2 ⊆ Aut C22160C2^2.2(D10:C4)320,756
C22.3(D10⋊C4) = C23.49D20φ: D10⋊C4/C2×Dic5C2 ⊆ Aut C22160C2^2.3(D10:C4)320,760
C22.4(D10⋊C4) = C4○D209C4φ: D10⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.4(D10:C4)320,593
C22.5(D10⋊C4) = (C22×C8)⋊D5φ: D10⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.5(D10:C4)320,737
C22.6(D10⋊C4) = C23.23D20φ: D10⋊C4/C2×C20C2 ⊆ Aut C22160C2^2.6(D10:C4)320,740
C22.7(D10⋊C4) = M4(2).31D10φ: D10⋊C4/C2×C20C2 ⊆ Aut C22804C2^2.7(D10:C4)320,759
C22.8(D10⋊C4) = C53C2≀C4φ: D10⋊C4/C22×D5C2 ⊆ Aut C22408+C2^2.8(D10:C4)320,29
C22.9(D10⋊C4) = (C2×C20).D4φ: D10⋊C4/C22×D5C2 ⊆ Aut C22808-C2^2.9(D10:C4)320,30
C22.10(D10⋊C4) = C23.D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22808-C2^2.10(D10:C4)320,31
C22.11(D10⋊C4) = C23.2D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22408+C2^2.11(D10:C4)320,32
C22.12(D10⋊C4) = C23.3D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22408+C2^2.12(D10:C4)320,33
C22.13(D10⋊C4) = C23.4D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22808-C2^2.13(D10:C4)320,34
C22.14(D10⋊C4) = (C2×C4).D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22808+C2^2.14(D10:C4)320,35
C22.15(D10⋊C4) = (C2×Q8).D10φ: D10⋊C4/C22×D5C2 ⊆ Aut C22808-C2^2.15(D10:C4)320,36
C22.16(D10⋊C4) = C24.D10φ: D10⋊C4/C22×D5C2 ⊆ Aut C2280C2^2.16(D10:C4)320,84
C22.17(D10⋊C4) = C421Dic5φ: D10⋊C4/C22×D5C2 ⊆ Aut C22804C2^2.17(D10:C4)320,89
C22.18(D10⋊C4) = C20.32C42φ: D10⋊C4/C22×D5C2 ⊆ Aut C2280C2^2.18(D10:C4)320,90
C22.19(D10⋊C4) = (C2×C40)⋊C4φ: D10⋊C4/C22×D5C2 ⊆ Aut C22804C2^2.19(D10:C4)320,114
C22.20(D10⋊C4) = C23.9D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22804C2^2.20(D10:C4)320,115
C22.21(D10⋊C4) = M4(2)⋊4Dic5φ: D10⋊C4/C22×D5C2 ⊆ Aut C22804C2^2.21(D10:C4)320,117
C22.22(D10⋊C4) = C23.42D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22160C2^2.22(D10:C4)320,570
C22.23(D10⋊C4) = C4⋊C436D10φ: D10⋊C4/C22×D5C2 ⊆ Aut C2280C2^2.23(D10:C4)320,628
C22.24(D10⋊C4) = C4.(C2×D20)φ: D10⋊C4/C22×D5C2 ⊆ Aut C22160C2^2.24(D10:C4)320,631
C22.25(D10⋊C4) = C424D10φ: D10⋊C4/C22×D5C2 ⊆ Aut C22804C2^2.25(D10:C4)320,632
C22.26(D10⋊C4) = C23.46D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22160C2^2.26(D10:C4)320,747
C22.27(D10⋊C4) = D108M4(2)φ: D10⋊C4/C22×D5C2 ⊆ Aut C2280C2^2.27(D10:C4)320,753
C22.28(D10⋊C4) = C23.48D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C2280C2^2.28(D10:C4)320,758
C22.29(D10⋊C4) = C23.20D20φ: D10⋊C4/C22×D5C2 ⊆ Aut C22804C2^2.29(D10:C4)320,766
C22.30(D10⋊C4) = Dic103C8central extension (φ=1)320C2^2.30(D10:C4)320,14
C22.31(D10⋊C4) = D203C8central extension (φ=1)160C2^2.31(D10:C4)320,17
C22.32(D10⋊C4) = C53(C23⋊C8)central extension (φ=1)80C2^2.32(D10:C4)320,26
C22.33(D10⋊C4) = (C2×Dic5)⋊C8central extension (φ=1)160C2^2.33(D10:C4)320,27
C22.34(D10⋊C4) = D204C8central extension (φ=1)160C2^2.34(D10:C4)320,41
C22.35(D10⋊C4) = Dic104C8central extension (φ=1)320C2^2.35(D10:C4)320,42
C22.36(D10⋊C4) = C426Dic5central extension (φ=1)80C2^2.36(D10:C4)320,81
C22.37(D10⋊C4) = C24.2D10central extension (φ=1)80C2^2.37(D10:C4)320,85
C22.38(D10⋊C4) = C20.31C42central extension (φ=1)320C2^2.38(D10:C4)320,87
C22.39(D10⋊C4) = (C2×C40)⋊15C4central extension (φ=1)320C2^2.39(D10:C4)320,108
C22.40(D10⋊C4) = C20.39C42central extension (φ=1)320C2^2.40(D10:C4)320,109
C22.41(D10⋊C4) = M4(2)⋊Dic5central extension (φ=1)160C2^2.41(D10:C4)320,112
C22.42(D10⋊C4) = C20.33C42central extension (φ=1)80C2^2.42(D10:C4)320,113
C22.43(D10⋊C4) = C2×D204C4central extension (φ=1)80C2^2.43(D10:C4)320,554
C22.44(D10⋊C4) = C2×C23.1D10central extension (φ=1)80C2^2.44(D10:C4)320,581
C22.45(D10⋊C4) = C2×D206C4central extension (φ=1)160C2^2.45(D10:C4)320,592
C22.46(D10⋊C4) = C2×C10.Q16central extension (φ=1)320C2^2.46(D10:C4)320,596
C22.47(D10⋊C4) = C2×C20.44D4central extension (φ=1)320C2^2.47(D10:C4)320,730
C22.48(D10⋊C4) = C2×D101C8central extension (φ=1)160C2^2.48(D10:C4)320,735
C22.49(D10⋊C4) = C2×D205C4central extension (φ=1)160C2^2.49(D10:C4)320,739
C22.50(D10⋊C4) = C2×C20.46D4central extension (φ=1)80C2^2.50(D10:C4)320,757
C22.51(D10⋊C4) = C2×C4.12D20central extension (φ=1)160C2^2.51(D10:C4)320,763
C22.52(D10⋊C4) = C2×D207C4central extension (φ=1)80C2^2.52(D10:C4)320,765
C22.53(D10⋊C4) = C2×C10.10C42central extension (φ=1)320C2^2.53(D10:C4)320,835
C22.54(D10⋊C4) = (C2×D20)⋊C4central stem extension (φ=1)80C2^2.54(D10:C4)320,9
C22.55(D10⋊C4) = C4⋊Dic5⋊C4central stem extension (φ=1)80C2^2.55(D10:C4)320,10
C22.56(D10⋊C4) = C42.D10central stem extension (φ=1)160C2^2.56(D10:C4)320,22
C22.57(D10⋊C4) = C42.2D10central stem extension (φ=1)320C2^2.57(D10:C4)320,23
C22.58(D10⋊C4) = C23.30D20central stem extension (φ=1)80C2^2.58(D10:C4)320,25
C22.59(D10⋊C4) = C22.2D40central stem extension (φ=1)80C2^2.59(D10:C4)320,28
C22.60(D10⋊C4) = C4.Dic20central stem extension (φ=1)320C2^2.60(D10:C4)320,39
C22.61(D10⋊C4) = C20.47D8central stem extension (φ=1)320C2^2.61(D10:C4)320,40
C22.62(D10⋊C4) = C4.D40central stem extension (φ=1)160C2^2.62(D10:C4)320,43
C22.63(D10⋊C4) = C20.2D8central stem extension (φ=1)320C2^2.63(D10:C4)320,44

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