Finite Group Databasebeta

← Group #258288

Character table — Group #258288

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-11-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-11111-1-11-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11111-1-111-11-1-1-1-111-11111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11111-1-111-11-1-1-1-1-1-1-11-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111-1-11111-11111-1-111-1-1-1-11-11-111-11-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-11111-1-111-1-1-1-11-11-1-1-1-1111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-11111-11-11-1111-1-1-1-1-1-11111-1-1-1-111
χ12111111111111-1-11111-111-1-1-1-11111-11-11-11-1-1-1-11111-1-1-1-11111-1-1
χ13111111111111-1-11111-1-1-111-1-1-1-1-1-11-1-11-111111-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-111-1-1-1-1-1-11-1-11-11-1-11111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-111111-11-1111-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111111-11-1-1-11-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-220022-2-200220-20000000-200000000000000
χ1822222222222222-2-2-2-2200-2-2-2-200-2-2020000000200000000000000
χ19222222222222-2-2-2-2-2-2-200222200-2-2020000000-200000000000000
χ20222222222222-2-2-2-2-2-2-200-2-22200220-20000000200000000000000
χ2122222222-2-2-2-2222-2-22-200002-200000022-2-2000000000000000000
χ2222222222-2-2-2-2222-2-22-200002-2000000-2-222000000000000000000
χ2322222222-2-2-2-222-222-2-22200-22-2-20020000000-2000000000000000
χ2422222222-2-2-2-222-222-2-2-2-200-222200-200000002000000000000000
χ2522222222-2-2-2-2-2-22-2-2220000-220000002-2-22000000000000000000
χ2622222222-2-2-2-2-2-22-2-2220000-22000000-222-2000000000000000000
χ2722222222-2-2-2-2-2-2-222-2222002-2-2-200-200000002000000000000000
χ2822222222-2-2-2-2-2-2-222-22-2-2002-2220020000000-2000000000000000
χ29222-2-2-2-2222-2-200-22-2202i−2i00002i−2i000000002i−2i000000002-2000000
χ30222-2-2-2-2222-2-200-22-2202i−2i00002i−2i00000000−2i2i00000000-22000000
χ31222-2-2-2-2222-2-200-22-220−2i2i0000−2i2i000000002i−2i00000000-22000000
χ32222-2-2-2-2222-2-200-22-220−2i2i0000−2i2i00000000−2i2i000000002-2000000
χ33222-2-2-2-22-2-2220022-2-202i−2i0000−2i2i0000000000002-20000002i−2i0000
χ34222-2-2-2-22-2-2220022-2-202i−2i0000−2i2i000000000000-22000000−2i2i0000
χ35222-2-2-2-22-2-2220022-2-20−2i2i00002i−2i0000000000002-2000000−2i2i0000
χ36222-2-2-2-22-2-2220022-2-20−2i2i00002i−2i000000000000-220000002i−2i0000
χ37444-4-4-4-4444-4-4004-44-400000000000000000000000000000000000
χ38444-4-4-4-44-4-44400-4-44400000000000000000000000000000000000
χ3944-444-4-4-400004-40000000000000000000000000002-22-200000000
χ4044-444-4-4-400004-4000000000000000000000000000-22-2200000000
χ4144-444-4-4-40000-440000000000000000000000000002-2-2200000000
χ4244-444-4-4-40000-44000000000000000000000000000-222-200000000
χ434-444-44-4-44-44-400000000000000000000000000000000000000022−22
χ444-444-44-4-44-44-4000000000000000000000000000000000000000−2222
χ454-444-44-4-4-44-4400000000000000000000000000000000000002i2−2i200
χ464-444-44-4-4-44-440000000000000000000000000000000000000−2i22i200
χ474-44-44-44-44-4-440000000000000004i−4i000000000000000000000000
χ484-44-44-44-44-4-44000000000000000−4i4i000000000000000000000000
χ494-44-44-44-4-444-40000000004-4000000000000000000000000000000
χ504-44-44-44-4-444-4000000000-44000000000000000000000000000000
χ5188-8-8-888-8000000000000000000000000000000000000000000000
χ528-8-88-8-888000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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