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Extensions 1→N→G→Q→1 with N=C22 and Q=C15⋊D4

Direct product G=N×Q with N=C22 and Q=C15⋊D4
dρLabelID
C22×C15⋊D4240C2^2xC15:D4480,1118

Semidirect products G=N:Q with N=C22 and Q=C15⋊D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C15⋊D4) = D10⋊S4φ: C15⋊D4/D10 → S3 ⊆ Aut C22606C2^2:(C15:D4)480,980
C22⋊2(C15⋊D4) = Dic15⋊18D4φ: C15⋊D4/Dic15 → C2 ⊆ Aut C22240C2^2:2(C15:D4)480,647
C22⋊3(C15⋊D4) = (C2×C30)⋊D4φ: C15⋊D4/C6×D5 → C2 ⊆ Aut C22120C2^2:3(C15:D4)480,639
C22⋊4(C15⋊D4) = C15⋊C22≀C2φ: C15⋊D4/S3×C10 → C2 ⊆ Aut C22120C2^2:4(C15:D4)480,644

Non-split extensions G=N.Q with N=C22 and Q=C15⋊D4
extensionφ:Q→Aut NdρLabelID
C22.1(C15⋊D4) = D20.34D6φ: C15⋊D4/Dic15 → C2 ⊆ Aut C222404C2^2.1(C15:D4)480,373
C22.2(C15⋊D4) = C60.99D4φ: C15⋊D4/C6×D5 → C2 ⊆ Aut C221204C2^2.2(C15:D4)480,55
C22.3(C15⋊D4) = C15⋊8(C23⋊C4)φ: C15⋊D4/C6×D5 → C2 ⊆ Aut C221204C2^2.3(C15:D4)480,72
C22.4(C15⋊D4) = C60.36D4φ: C15⋊D4/C6×D5 → C2 ⊆ Aut C221204C2^2.4(C15:D4)480,374
C22.5(C15⋊D4) = D12.37D10φ: C15⋊D4/C6×D5 → C2 ⊆ Aut C222404C2^2.5(C15:D4)480,385
C22.6(C15⋊D4) = C30.(C2×D4)φ: C15⋊D4/C6×D5 → C2 ⊆ Aut C22240C2^2.6(C15:D4)480,615
C22.7(C15⋊D4) = C60.97D4φ: C15⋊D4/S3×C10 → C2 ⊆ Aut C221204C2^2.7(C15:D4)480,53
C22.8(C15⋊D4) = (C2×C6).D20φ: C15⋊D4/S3×C10 → C2 ⊆ Aut C221204C2^2.8(C15:D4)480,71
C22.9(C15⋊D4) = D20⋊21D6φ: C15⋊D4/S3×C10 → C2 ⊆ Aut C221204C2^2.9(C15:D4)480,375
C22.10(C15⋊D4) = D20.37D6φ: C15⋊D4/S3×C10 → C2 ⊆ Aut C222404C2^2.10(C15:D4)480,383
C22.11(C15⋊D4) = (C2×C30).D4φ: C15⋊D4/S3×C10 → C2 ⊆ Aut C22240C2^2.11(C15:D4)480,612
C22.12(C15⋊D4) = C30.D8central extension (φ=1)240C2^2.12(C15:D4)480,40
C22.13(C15⋊D4) = D12⋊Dic5central extension (φ=1)240C2^2.13(C15:D4)480,42
C22.14(C15⋊D4) = C30.Q16central extension (φ=1)480C2^2.14(C15:D4)480,46
C22.15(C15⋊D4) = Dic6⋊Dic5central extension (φ=1)480C2^2.15(C15:D4)480,48
C22.16(C15⋊D4) = C30.SD16central extension (φ=1)480C2^2.16(C15:D4)480,62
C22.17(C15⋊D4) = C30.20D8central extension (φ=1)480C2^2.17(C15:D4)480,65
C22.18(C15⋊D4) = C30.24C42central extension (φ=1)480C2^2.18(C15:D4)480,70
C22.19(C15⋊D4) = C2×C15⋊D8central extension (φ=1)240C2^2.19(C15:D4)480,372
C22.20(C15⋊D4) = C2×C30.D4central extension (φ=1)240C2^2.20(C15:D4)480,382
C22.21(C15⋊D4) = C2×C20.D6central extension (φ=1)240C2^2.21(C15:D4)480,384
C22.22(C15⋊D4) = C2×C15⋊Q16central extension (φ=1)480C2^2.22(C15:D4)480,394
C22.23(C15⋊D4) = C2×D10⋊Dic3central extension (φ=1)240C2^2.23(C15:D4)480,611
C22.24(C15⋊D4) = C2×D6⋊Dic5central extension (φ=1)240C2^2.24(C15:D4)480,614
C22.25(C15⋊D4) = C2×Dic15⋊5C4central extension (φ=1)480C2^2.25(C15:D4)480,620

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