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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C5⋊D4

Direct product G=N×Q with N=C22 and Q=C3×C5⋊D4
dρLabelID
C2×C6×C5⋊D4240C2xC6xC5:D4480,1149

Semidirect products G=N:Q with N=C22 and Q=C3×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C3×C5⋊D4) = A4×C5⋊D4φ: C3×C5⋊D4/C5⋊D4 → C3 ⊆ Aut C22606C2^2:(C3xC5:D4)480,1045
C22⋊2(C3×C5⋊D4) = C3×Dic5⋊D4φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C22240C2^2:2(C3xC5:D4)480,732
C22⋊3(C3×C5⋊D4) = C3×C23⋊D10φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C22120C2^2:3(C3xC5:D4)480,730
C22⋊4(C3×C5⋊D4) = C3×C24⋊2D5φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C22120C2^2:4(C3xC5:D4)480,746

Non-split extensions G=N.Q with N=C22 and Q=C3×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C3×C5⋊D4) = C3×D4.8D10φ: C3×C5⋊D4/C3×Dic5 → C2 ⊆ Aut C222404C2^2.1(C3xC5:D4)480,743
C22.2(C3×C5⋊D4) = C3×C23⋊Dic5φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C221204C2^2.2(C3xC5:D4)480,112
C22.3(C3×C5⋊D4) = C3×D4⋊2Dic5φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C221204C2^2.3(C3xC5:D4)480,115
C22.4(C3×C5⋊D4) = C3×C23.18D10φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C22240C2^2.4(C3xC5:D4)480,728
C22.5(C3×C5⋊D4) = C3×D4⋊D10φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C221204C2^2.5(C3xC5:D4)480,742
C22.6(C3×C5⋊D4) = C3×D4.9D10φ: C3×C5⋊D4/C6×D5 → C2 ⊆ Aut C222404C2^2.6(C3xC5:D4)480,744
C22.7(C3×C5⋊D4) = C3×D20⋊4C4φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C221202C2^2.7(C3xC5:D4)480,83
C22.8(C3×C5⋊D4) = C3×C23.1D10φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C221204C2^2.8(C3xC5:D4)480,84
C22.9(C3×C5⋊D4) = C3×C23.23D10φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C22240C2^2.9(C3xC5:D4)480,722
C22.10(C3×C5⋊D4) = C3×D4.D10φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C221204C2^2.10(C3xC5:D4)480,725
C22.11(C3×C5⋊D4) = C3×C20.C23φ: C3×C5⋊D4/C2×C30 → C2 ⊆ Aut C222404C2^2.11(C3xC5:D4)480,735
C22.12(C3×C5⋊D4) = C3×C10.D8central extension (φ=1)480C2^2.12(C3xC5:D4)480,85
C22.13(C3×C5⋊D4) = C3×C20.Q8central extension (φ=1)480C2^2.13(C3xC5:D4)480,86
C22.14(C3×C5⋊D4) = C3×D20⋊6C4central extension (φ=1)240C2^2.14(C3xC5:D4)480,87
C22.15(C3×C5⋊D4) = C3×C10.Q16central extension (φ=1)480C2^2.15(C3xC5:D4)480,88
C22.16(C3×C5⋊D4) = C3×C10.10C42central extension (φ=1)480C2^2.16(C3xC5:D4)480,109
C22.17(C3×C5⋊D4) = C3×D4⋊Dic5central extension (φ=1)240C2^2.17(C3xC5:D4)480,110
C22.18(C3×C5⋊D4) = C3×Q8⋊Dic5central extension (φ=1)480C2^2.18(C3xC5:D4)480,113
C22.19(C3×C5⋊D4) = C6×C10.D4central extension (φ=1)480C2^2.19(C3xC5:D4)480,716
C22.20(C3×C5⋊D4) = C6×D10⋊C4central extension (φ=1)240C2^2.20(C3xC5:D4)480,720
C22.21(C3×C5⋊D4) = C6×D4⋊D5central extension (φ=1)240C2^2.21(C3xC5:D4)480,724
C22.22(C3×C5⋊D4) = C6×D4.D5central extension (φ=1)240C2^2.22(C3xC5:D4)480,726
C22.23(C3×C5⋊D4) = C6×Q8⋊D5central extension (φ=1)240C2^2.23(C3xC5:D4)480,734
C22.24(C3×C5⋊D4) = C6×C5⋊Q16central extension (φ=1)480C2^2.24(C3xC5:D4)480,736
C22.25(C3×C5⋊D4) = C6×C23.D5central extension (φ=1)240C2^2.25(C3xC5:D4)480,745

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