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

Extensions 1→N→G→Q→1 with N=C2 and Q=D60⋊C2

Direct product G=N×Q with N=C2 and Q=D60⋊C2
dρLabelID
C2×D60⋊C2240C2xD60:C2480,1081


Non-split extensions G=N.Q with N=C2 and Q=D60⋊C2
extensionφ:Q→Aut NdρLabelID
C2.1(D60⋊C2) = Dic3×Dic10central extension (φ=1)480C2.1(D60:C2)480,406
C2.2(D60⋊C2) = (S3×C20)⋊5C4central extension (φ=1)240C2.2(D60:C2)480,414
C2.3(D60⋊C2) = D30.23(C2×C4)central extension (φ=1)240C2.3(D60:C2)480,479
C2.4(D60⋊C2) = D60⋊14C4central extension (φ=1)240C2.4(D60:C2)480,504
C2.5(D60⋊C2) = C15⋊22(C4×D4)central extension (φ=1)240C2.5(D60:C2)480,522
C2.6(D60⋊C2) = (C2×C20).D6central stem extension (φ=1)240C2.6(D60:C2)480,402
C2.7(D60⋊C2) = Dic5.1Dic6central stem extension (φ=1)480C2.7(D60:C2)480,410
C2.8(D60⋊C2) = C60⋊5C4⋊C2central stem extension (φ=1)240C2.8(D60:C2)480,418
C2.9(D60⋊C2) = C4⋊Dic5⋊S3central stem extension (φ=1)240C2.9(D60:C2)480,421
C2.10(D60⋊C2) = D6⋊Dic5⋊C2central stem extension (φ=1)240C2.10(D60:C2)480,427
C2.11(D60⋊C2) = C60.46D4central stem extension (φ=1)240C2.11(D60:C2)480,445
C2.12(D60⋊C2) = C60.47D4central stem extension (φ=1)240C2.12(D60:C2)480,450
C2.13(D60⋊C2) = C10.D4⋊S3central stem extension (φ=1)240C2.13(D60:C2)480,456
C2.14(D60⋊C2) = C60.6Q8central stem extension (φ=1)480C2.14(D60:C2)480,457
C2.15(D60⋊C2) = D30⋊Q8central stem extension (φ=1)240C2.15(D60:C2)480,487
C2.16(D60⋊C2) = D30⋊D4central stem extension (φ=1)240C2.16(D60:C2)480,496
C2.17(D60⋊C2) = D30.6D4central stem extension (φ=1)240C2.17(D60:C2)480,509
C2.18(D60⋊C2) = D30.7D4central stem extension (φ=1)240C2.18(D60:C2)480,514
C2.19(D60⋊C2) = C60⋊6D4central stem extension (φ=1)240C2.19(D60:C2)480,536

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁