Finite Group Databasebeta

← Group #260015

Character table — Group #260015

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1111-1-11111-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1111-1-1-1-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1
χ91111111111111-1-111111-1-1-11111-1-1-11-11-111-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-1-11111-1-1-11-11-1-1-1-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-111-1-111-1-11-1111-1-11-1-1-1-11111-1-1-1-111
χ121111111111111-1-111111-1-1-111-1-111-1-11-11-1-1-1-111111-1-1-1-11111-1-1
χ131111111111111-1-1111-1-1-1-1-1-1-111-1-11-111-1111-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-1-111-1-11-111-1-1-11-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-11-1-111-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-200-2-22002222000-2-20000000000000000000
χ18222222222222-222-2-2-200-2-2200-2-2-2-2000220000000000000000000
χ19222222222222-2-2-2-2-2-20022-20022-2-2000-220000000000000000000
χ20222222222222-2-2-2-2-2-20022-200-2-2220002-20000000000000000000
χ2122222222-2-2-2-2222-2-22002-2-200000002200000-2-200000000000000
χ2222222222-2-2-2-2222-2-22002-2-20000000-2-2000002200000000000000
χ2322222222-2-2-2-22-2-2-2-2200-22200000002-200000-2200000000000000
χ2422222222-2-2-2-22-2-2-2-2200-2220000000-22000002-200000000000000
χ2522222222-2-2-2-2-22222-222-22-2-2-20000-200000020000000000000000
χ2622222222-2-2-2-2-22222-2-2-2-22-22200002000000-20000000000000000
χ2722222222-2-2-2-2-2-2-222-2222-22-2-200002000000-20000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-22-22220000-200000020000000000000000
χ29222-2-2-2-2222-2-2-2002-222i−2i0002i−2i000000000000002-20000002i−2i0000
χ30222-2-2-2-2222-2-2-2002-222i−2i0002i−2i00000000000000-22000000−2i2i0000
χ31222-2-2-2-2222-2-2-2002-22−2i2i000−2i2i000000000000002-2000000−2i2i0000
χ32222-2-2-2-2222-2-2-2002-22−2i2i000−2i2i00000000000000-220000002i−2i0000
χ33222-2-2-2-22-2-2222002-2-22i−2i000−2i2i0000000002i−2i0000000002-2000000
χ34222-2-2-2-22-2-2222002-2-22i−2i000−2i2i000000000−2i2i000000000-22000000
χ35222-2-2-2-22-2-2222002-2-2−2i2i0002i−2i0000000002i−2i000000000-22000000
χ36222-2-2-2-22-2-2222002-2-2−2i2i0002i−2i000000000−2i2i0000000002-2000000
χ37444-4-4-4-4444-4-4400-44-400000000000000000000000000000000000
χ38444-4-4-4-44-4-444-400-44400000000000000000000000000000000000
χ3944-4-44-44-4000004-4000000000000000000000000002i−2i2i−2i00000000
χ4044-4-44-44-4000004-400000000000000000000000000−2i2i−2i2i00000000
χ4144-4-44-44-400000-44000000000000000000000000002i−2i−2i2i00000000
χ4244-4-44-44-400000-4400000000000000000000000000−2i2i2i−2i00000000
χ434-4-44-4-4444-44-40000000000000004-4000000000000000000000000
χ444-4-44-4-4444-44-4000000000000000-44000000000000000000000000
χ454-4-44-4-444-44-4400000000000004-400000000000000000000000000
χ464-4-44-4-444-44-440000000000000-4400000000000000000000000000
χ474-4-4-444-444-4-44000000000000000000000000000000000000022−2200
χ484-4-4-444-444-4-440000000000000000000000000000000000000−222200
χ494-4-4-444-44-444-400000000000000000000000000000000000000022−22
χ504-4-4-444-44-444-4000000000000000000000000000000000000000−2222
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ528-8888-8-8-8000000000000000000000000000000000000000000000
χ538-88-8-888-8000000000000000000000000000000000000000000000

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