Finite Group Databasebeta

← Group #309447

Character table — Group #309447

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111-1-11-11-1-1-1-111-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-1111-1
χ51111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-1
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-11111-1-1-11
χ71111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ9111111111111111111-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1111111-1-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-1-111-11
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-11111-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1111111-1-1
χ1722222222222-2-2-2-22-2-222-2-20000000022-2-2000000-2000020000000000
χ1822222222222-2-2-2-22-2-222-2-200000000-2-22200000020000-20000000000
χ1922222222222-2-2-2-22-2-2-2-2220000000022-2-200000020000-20000000000
χ2022222222222-2-2-2-22-2-2-2-22200000000-2-222000000-2000020000000000
χ2122222222-2-2-22222-2-2-20000222222-2-20000000000000-2-200000000000
χ2222222222-2-2-22222-2-2-2000022-2-2-2-2220000000000000-2200000000000
χ2322222222-2-2-22222-2-2-20000-2-222-2-22200000000000002-200000000000
χ2422222222-2-2-22222-2-2-20000-2-2-2-222-2-200000000000002200000000000
χ25222-2-22-2-222-222-2-2-22-2000000002-22-2000000002-202-20000000000000
χ26222-2-22-2-222-222-2-2-22-2000000002-22-200000000-220-220000000000000
χ27222-2-22-2-222-222-2-2-22-200000000-22-22000000002-20-220000000000000
χ28222-2-22-2-222-222-2-2-22-200000000-22-2200000000-2202-20000000000000
χ29222-2-22-2-2-2-2222-2-22-222i−2i2i−2i00002-2-2200000000000000002i−2i00000000
χ30222-2-22-2-2-2-2222-2-22-222i−2i2i−2i0000-222-20000000000000000−2i2i00000000
χ31222-2-22-2-2-2-2222-2-22-22−2i2i−2i2i00002-2-220000000000000000−2i2i00000000
χ32222-2-22-2-2-2-2222-2-22-22−2i2i−2i2i0000-222-200000000000000002i−2i00000000
χ33222-2-22-2-2-2-22-2-22222-22i−2i−2i2i0000000000002i2i−2i−2i00000000002-2000000
χ34222-2-22-2-2-2-22-2-22222-22i−2i−2i2i000000000000−2i−2i2i2i0000000000-22000000
χ35222-2-22-2-2-2-22-2-22222-2−2i2i2i−2i0000000000002i2i−2i−2i0000000000-22000000
χ36222-2-22-2-2-2-22-2-22222-2−2i2i2i−2i000000000000−2i−2i2i2i00000000002-2000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-4-44-4-444-4-4-444-4-4400000000000000000000000000000000000000
χ3944-444-4-4-44-440000-400000000000000000022−2222−22000000000000000000
χ4044-444-4-4-44-440000-4000000000000000000−2222−2222000000000000000000
χ4144-444-4-4-4-44-400004000000000000004i−4i000000000000000000000000
χ4244-444-4-4-4-44-40000400000000000000−4i4i000000000000000000000000
χ4344-4-4-4-4444-4-40000400000000000000004-40000000000000000000000
χ4444-4-4-4-4444-4-4000040000000000000000-440000000000000000000000
χ4544-4-4-4-444-4440000-40000000000000000002i2−2i2−2i22i2000000000000000000
χ4644-4-4-4-444-4440000-4000000000000000000−2i22i22i2−2i2000000000000000000
χ474-444-4-44-40004-44-400000000000000000000000000000000000002i2−2i200
χ484-444-4-44-40004-44-40000000000000000000000000000000000000−2i22i200
χ494-444-4-44-4000-44-440000000004i−4i000000000000000000000000000000
χ504-444-4-44-4000-44-44000000000−4i4i000000000000000000000000000000
χ514-44-44-4-440004-4-44000000000000000000000000000000000002i2−2i20000
χ524-44-44-4-440004-4-4400000000000000000000000000000000000−2i22i20000
χ534-44-44-4-44000-444-400000004i−4i00000000000000000000000000000000
χ544-44-44-4-44000-444-40000000−4i4i00000000000000000000000000000000
χ558-8-88-88-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).