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

Extensions 1→N→G→Q→1 with N=C6 and Q=C3×C7⋊C3

Direct product G=N×Q with N=C6 and Q=C3×C7⋊C3
dρLabelID
C3×C6×C7⋊C3126C3xC6xC7:C3378,52


Non-split extensions G=N.Q with N=C6 and Q=C3×C7⋊C3
extensionφ:Q→Aut NdρLabelID
C6.1(C3×C7⋊C3) = C18×C7⋊C3central extension (φ=1)1263C6.1(C3xC7:C3)378,23
C6.2(C3×C7⋊C3) = C2×C63⋊C3central extension (φ=1)1263C6.2(C3xC7:C3)378,24
C6.3(C3×C7⋊C3) = C2×C63⋊3C3central extension (φ=1)1263C6.3(C3xC7:C3)378,25
C6.4(C3×C7⋊C3) = C6×C7⋊C9central extension (φ=1)378C6.4(C3xC7:C3)378,26
C6.5(C3×C7⋊C3) = C2×C21.C32central extension (φ=1)1263C6.5(C3xC7:C3)378,27
C6.6(C3×C7⋊C3) = C2×C7⋊He3central extension (φ=1)1263C6.6(C3xC7:C3)378,28

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁