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

Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C3⋊D20

Direct product G=N×Q with N=C2 and Q=C2×C3⋊D20
dρLabelID
C22×C3⋊D20240C2^2xC3:D20480,1119


Non-split extensions G=N.Q with N=C2 and Q=C2×C3⋊D20
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C3⋊D20) = C4×C3⋊D20central extension (φ=1)240C2.1(C2xC3:D20)480,519
C2.2(C2×C3⋊D20) = C2×D10⋊Dic3central extension (φ=1)240C2.2(C2xC3:D20)480,611
C2.3(C2×C3⋊D20) = C2×D30⋊4C4central extension (φ=1)240C2.3(C2xC3:D20)480,616
C2.4(C2×C3⋊D20) = C2×C6.Dic10central extension (φ=1)480C2.4(C2xC3:D20)480,621
C2.5(C2×C3⋊D20) = C2×C3⋊D40central stem extension (φ=1)240C2.5(C2xC3:D20)480,376
C2.6(C2×C3⋊D20) = D20⋊19D6central stem extension (φ=1)1204+C2.6(C2xC3:D20)480,377
C2.7(C2×C3⋊D20) = C2×C6.D20central stem extension (φ=1)240C2.7(C2xC3:D20)480,386
C2.8(C2×C3⋊D20) = D20.31D6central stem extension (φ=1)2404C2.8(C2xC3:D20)480,387
C2.9(C2×C3⋊D20) = D60⋊30C22central stem extension (φ=1)1204C2.9(C2xC3:D20)480,388
C2.10(C2×C3⋊D20) = C60.63D4central stem extension (φ=1)2404-C2.10(C2xC3:D20)480,389
C2.11(C2×C3⋊D20) = C2×C15⋊SD16central stem extension (φ=1)240C2.11(C2xC3:D20)480,390
C2.12(C2×C3⋊D20) = C12.D20central stem extension (φ=1)2404C2.12(C2xC3:D20)480,391
C2.13(C2×C3⋊D20) = C2×C3⋊Dic20central stem extension (φ=1)480C2.13(C2xC3:D20)480,395
C2.14(C2×C3⋊D20) = C60.68D4central stem extension (φ=1)240C2.14(C2xC3:D20)480,436
C2.15(C2×C3⋊D20) = C60.44D4central stem extension (φ=1)240C2.15(C2xC3:D20)480,440
C2.16(C2×C3⋊D20) = C60.47D4central stem extension (φ=1)240C2.16(C2xC3:D20)480,450
C2.17(C2×C3⋊D20) = C60.48D4central stem extension (φ=1)480C2.17(C2xC3:D20)480,465
C2.18(C2×C3⋊D20) = D30⋊10Q8central stem extension (φ=1)240C2.18(C2xC3:D20)480,466
C2.19(C2×C3⋊D20) = C12⋊7D20central stem extension (φ=1)240C2.19(C2xC3:D20)480,526
C2.20(C2×C3⋊D20) = C12⋊D20central stem extension (φ=1)240C2.20(C2xC3:D20)480,534
C2.21(C2×C3⋊D20) = C12⋊2D20central stem extension (φ=1)240C2.21(C2xC3:D20)480,541
C2.22(C2×C3⋊D20) = C6.(C2×D20)central stem extension (φ=1)240C2.22(C2xC3:D20)480,613
C2.23(C2×C3⋊D20) = C6.D4⋊D5central stem extension (φ=1)240C2.23(C2xC3:D20)480,622
C2.24(C2×C3⋊D20) = (C2×C6)⋊8D20central stem extension (φ=1)120C2.24(C2xC3:D20)480,640
C2.25(C2×C3⋊D20) = (C2×C6)⋊D20central stem extension (φ=1)240C2.25(C2xC3:D20)480,645
C2.26(C2×C3⋊D20) = D30⋊18D4central stem extension (φ=1)120C2.26(C2xC3:D20)480,648

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁