Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C22 and Q=C3⋊D20

Direct product G=N×Q with N=C22 and Q=C3⋊D20
dρLabelID
C22×C3⋊D20240C2^2xC3:D20480,1119

Semidirect products G=N:Q with N=C22 and Q=C3⋊D20
extensionφ:Q→Aut NdρLabelID
C22⋊(C3⋊D20) = A4⋊D20φ: C3⋊D20/D10 → S3 ⊆ Aut C22606+C2^2:(C3:D20)480,981
C22⋊2(C3⋊D20) = (C2×C6)⋊D20φ: C3⋊D20/C5×Dic3 → C2 ⊆ Aut C22240C2^2:2(C3:D20)480,645
C22⋊3(C3⋊D20) = (C2×C6)⋊8D20φ: C3⋊D20/C6×D5 → C2 ⊆ Aut C22120C2^2:3(C3:D20)480,640
C22⋊4(C3⋊D20) = D30⋊18D4φ: C3⋊D20/D30 → C2 ⊆ Aut C22120C2^2:4(C3:D20)480,648

Non-split extensions G=N.Q with N=C22 and Q=C3⋊D20
extensionφ:Q→Aut NdρLabelID
C22.1(C3⋊D20) = D20.31D6φ: C3⋊D20/C5×Dic3 → C2 ⊆ Aut C222404C2^2.1(C3:D20)480,387
C22.2(C3⋊D20) = D60⋊16C4φ: C3⋊D20/C6×D5 → C2 ⊆ Aut C221204C2^2.2(C3:D20)480,57
C22.3(C3⋊D20) = C15⋊9(C23⋊C4)φ: C3⋊D20/C6×D5 → C2 ⊆ Aut C221204C2^2.3(C3:D20)480,73
C22.4(C3⋊D20) = D60⋊30C22φ: C3⋊D20/C6×D5 → C2 ⊆ Aut C221204C2^2.4(C3:D20)480,388
C22.5(C3⋊D20) = C12.D20φ: C3⋊D20/C6×D5 → C2 ⊆ Aut C222404C2^2.5(C3:D20)480,391
C22.6(C3⋊D20) = C6.D4⋊D5φ: C3⋊D20/C6×D5 → C2 ⊆ Aut C22240C2^2.6(C3:D20)480,622
C22.7(C3⋊D20) = C60.96D4φ: C3⋊D20/D30 → C2 ⊆ Aut C221204C2^2.7(C3:D20)480,52
C22.8(C3⋊D20) = (C2×C6).D20φ: C3⋊D20/D30 → C2 ⊆ Aut C221204C2^2.8(C3:D20)480,71
C22.9(C3⋊D20) = D20⋊19D6φ: C3⋊D20/D30 → C2 ⊆ Aut C221204+C2^2.9(C3:D20)480,377
C22.10(C3⋊D20) = C60.63D4φ: C3⋊D20/D30 → C2 ⊆ Aut C222404-C2^2.10(C3:D20)480,389
C22.11(C3⋊D20) = C6.(C2×D20)φ: C3⋊D20/D30 → C2 ⊆ Aut C22240C2^2.11(C3:D20)480,613
C22.12(C3⋊D20) = C6.D40central extension (φ=1)240C2^2.12(C3:D20)480,41
C22.13(C3⋊D20) = D60⋊12C4central extension (φ=1)240C2^2.13(C3:D20)480,44
C22.14(C3⋊D20) = C6.Dic20central extension (φ=1)480C2^2.14(C3:D20)480,47
C22.15(C3⋊D20) = Dic30⋊12C4central extension (φ=1)480C2^2.15(C3:D20)480,50
C22.16(C3⋊D20) = C60.Q8central extension (φ=1)480C2^2.16(C3:D20)480,63
C22.17(C3⋊D20) = C60.5Q8central extension (φ=1)480C2^2.17(C3:D20)480,66
C22.18(C3⋊D20) = C30.24C42central extension (φ=1)480C2^2.18(C3:D20)480,70
C22.19(C3⋊D20) = C2×C3⋊D40central extension (φ=1)240C2^2.19(C3:D20)480,376
C22.20(C3⋊D20) = C2×C6.D20central extension (φ=1)240C2^2.20(C3:D20)480,386
C22.21(C3⋊D20) = C2×C15⋊SD16central extension (φ=1)240C2^2.21(C3:D20)480,390
C22.22(C3⋊D20) = C2×C3⋊Dic20central extension (φ=1)480C2^2.22(C3:D20)480,395
C22.23(C3⋊D20) = C2×D10⋊Dic3central extension (φ=1)240C2^2.23(C3:D20)480,611
C22.24(C3⋊D20) = C2×D30⋊4C4central extension (φ=1)240C2^2.24(C3:D20)480,616
C22.25(C3⋊D20) = C2×C6.Dic10central extension (φ=1)480C2^2.25(C3:D20)480,621

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁