Finite Group Databasebeta

← Group #101034

Character table — Group #101034

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222222244444444442244444444222244448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-222-2-222-2-2-2-2-2-222000000000000000000000000
χ182222222222222222-2-222-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222222222222-2-2-2-222-2-22222-2-2-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-222-2-222-2-2-2-222-2-222000000000000000000000000
χ2122222222-2-2-2-222222-2-2-22-2002-20000000000000000002-22-200000000
χ2222222222-2-2-2-222222-2-2-22-2002-2000000000000000000-22-2200000000
χ2322222222-2-2-2-22222-22-2-2-2200-22000000000000002-22-2000000000000
χ2422222222-2-2-2-22222-22-2-2-2200-2200000000000000-22-22000000000000
χ2522222222-2-2-2-2-2-2-2-22-2222-200-22000000000000002i−2i−2i2i000000000000
χ2622222222-2-2-2-2-2-2-2-22-2222-200-2200000000000000−2i2i2i−2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2222-22002-20000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2222-22002-2000000000000000000−2i2i2i−2i00000000
χ29222-2-2-2-2222-2-222-2-2002-20000002i−2i2i−2i0000000000000000002−22−2i2−i2i2−i2
χ30222-2-2-2-2222-2-222-2-2002-20000002i−2i2i−2i000000000000000000−22−22−i2i2−i2i2
χ31222-2-2-2-2222-2-222-2-2002-2000000−2i2i−2i2i0000000000000000002−22−2−i2i2−i2i2
χ32222-2-2-2-2222-2-222-2-2002-2000000−2i2i−2i2i000000000000000000−22−22i2−i2i2−i2
χ33222-2-2-2-2222-2-2-2-22200-220000002i−2i−2i2i000000000000000000i2−i2−i2i2−222−2
χ34222-2-2-2-2222-2-2-2-22200-220000002i−2i−2i2i000000000000000000−i2i2i2−i22−2−22
χ35222-2-2-2-2222-2-2-2-22200-22000000−2i2i2i−2i000000000000000000i2−i2−i2i22−2−22
χ36222-2-2-2-2222-2-2-2-22200-22000000−2i2i2i−2i000000000000000000−i2i2i2−i2−222−2
χ37444-4-4-4-44-4-44444-4-400-44000000000000000000000000000000000000
χ38444-4-4-4-44-4-444-4-444004-4000000000000000000000000000000000000
χ3944-444-4-4-44-44-40000000000000000004i−4i000000000000000000000000
χ4044-444-4-4-44-44-4000000000000000000−4i4i000000000000000000000000
χ4144-444-4-4-4-44-4400000000004-400000000000000000000000000000000
χ4244-444-4-4-4-44-440000000000-4400000000000000000000000000000000
χ4344-4-4-444-44-4-4400004-400-440000000000000000000000000000000000
χ4444-4-4-444-44-4-440000-44004-40000000000000000000000000000000000
χ4544-4-4-444-4-444-400004400-4-40000000000000000000000000000000000
χ4644-4-4-444-4-444-40000-4-400440000000000000000000000000000000000
χ474-4-44-44-4400004-44-400000000000000002-22-200000000000000000000
χ484-4-44-44-4400004-44-40000000000000000-22-2200000000000000000000
χ494-4-44-44-440000-44-4400000000000000002-2-2200000000000000000000
χ504-4-44-44-440000-44-440000000000000000-222-200000000000000000000
χ514-4-4-44-44400004-4-44000000000000000000002-22-20000000000000000
χ524-4-4-44-44400004-4-4400000000000000000000-22-220000000000000000
χ534-4-4-44-4440000-444-4000000000000000000002-2-220000000000000000
χ544-4-4-44-4440000-444-400000000000000000000-222-20000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-888-8-8000000000000000000000000000000000000000000000000

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