Finite Group Databasebeta

← Group #260333

Character table — Group #260333

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888222222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ911111111111111111-1-1-1-11111-1-11-1-1-111-1-111-1-11111-1-1-1-111-1-1111-1-1-111-1-111-1-1
χ1011111111111111111-1-1-1-11111-1-11-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-111
χ1111111111111111111-1-1-1-11111-1-11-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ1211111111111111111-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1-1-11111-1-11111-11-1-1-1-11111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-11111-1-1-1-1-1-111-1-11-111-1-11111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1
χ172222222222-2-222-2-2-222-2-22222-2-2-2-2-22-2-222000000000000000000000000000000
χ182222222222-2-222-2-2-222-2-2-2-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ192222222222-2-222-2-2-2-2-222222222-222-2-2-2-2-2000000000000000000000000000000
χ202222222222-2-222-2-2-2-2-222-2-2-2-222-2-2-2-22222000000000000000000000000000000
χ2122222222-2-222-2-222-222220000-2-2-200-20000222200000000000000-2-20000000000
χ2222222222-2-222-2-222-222220000-2-2-200-20000-2-2-2-200000000000000220000000000
χ2322222222-2-222-2-222-2-2-2-2-2000022-2002000022-2-200000000000000-220000000000
χ2422222222-2-222-2-222-2-2-2-2-2000022-20020000-2-222000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2000022200-200000000000000002-22-200000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2000022200-20000000000000000-22-2200000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2220000-2-2200200000000000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2220000-2-220020000000000000000-222-200000000000000
χ29222-22-2-2-22-2222-2-2-2-200002i2i−2i−2i0020002i−2i0000000000000000002-2000000002i−2i00
χ30222-22-2-2-22-2222-2-2-2-200002i2i−2i−2i0020002i−2i000000000000000000-2200000000−2i2i00
χ31222-22-2-2-22-2222-2-2-2-20000−2i−2i2i2i002000−2i2i0000000000000000002-200000000−2i2i00
χ32222-22-2-2-22-2222-2-2-2-20000−2i−2i2i2i002000−2i2i000000000000000000-22000000002i−2i00
χ33222-22-2-2-22-2-2-22-222200002i2i−2i−2i00-2000−2i2i00000000000000000000002i−2i0000002-2
χ34222-22-2-2-22-2-2-22-222200002i2i−2i−2i00-2000−2i2i0000000000000000000000−2i2i000000-22
χ35222-22-2-2-22-2-2-22-22220000−2i−2i2i2i00-20002i−2i00000000000000000000002i−2i000000-22
χ36222-22-2-2-22-2-2-22-22220000−2i−2i2i2i00-20002i−2i0000000000000000000000−2i2i0000002-2
χ3722-2-2-2-222-2-20022000002-22-22-22-202-200000000022−2−222−2−200000000002−22−20000
χ3822-2-2-2-222-2-20022000002-22-22-22-202-2000000000−2−222−2−2220000000000−22−220000
χ3922-2-2-2-222-2-20022000002-2-22-222-20-2200000000022−2−222−2−20000000000−22−220000
χ4022-2-2-2-222-2-20022000002-2-22-222-20-22000000000−2−222−2−22200000000002−22−20000
χ4122-2-2-2-222-2-2002200000-222-22-2-220-2200000000022−2−2−2−22200000000002−2−220000
χ4222-2-2-2-222-2-2002200000-222-22-2-220-22000000000−2−22222−2−20000000000−222−20000
χ4322-2-2-2-222-2-2002200000-22-22-22-2202-200000000022−2−2−2−2220000000000−222−20000
χ4422-2-2-2-222-2-2002200000-22-22-22-2202-2000000000−2−22222−2−200000000002−2−220000
χ45444-44-4-4-4-4444-44-4-440000000000-40000000000000000000000000000000000000
χ46444-44-4-4-4-44-4-4-4444-4000000000040000000000000000000000000000000000000
χ4744-44-44-4-44-400-4400000000000000000004i−4i000000000000000000000000000000
χ4844-44-44-4-44-400-440000000000000000000−4i4i000000000000000000000000000000
χ4944-44-44-4-4-44004-400000004i−4i−4i4i0000000000000000000000000000000000000000
χ5044-44-44-4-4-44004-40000000−4i4i4i−4i0000000000000000000000000000000000000000
χ5144-4-4-4-4444400-4-4000004-40000-4400000000000000000000000000000000000000
χ5244-4-4-4-4444400-4-400000-4400004-400000000000000000000000000000000000000
χ534-44-4-44-440000000004-4000000000000000000002-22-22-22-2000000000000000000
χ544-44-4-44-440000000004-400000000000000000000-22-22-22-22000000000000000000
χ554-44-4-44-44000000000-44000000000000000000002-22-2-22-22000000000000000000
χ564-44-4-44-44000000000-4400000000000000000000-22-222-22-2000000000000000000
χ574-4-444-4-44004-4004-400000000000000000000000000022−22−2222000000000000000000
χ584-4-444-4-44004-4004-4000000000000000000000000000−222222−22000000000000000000
χ594-4-444-4-4400-4400-440000000000000000000000022−22−22220000000000000000000000
χ604-4-444-4-4400-4400-4400000000000000000000000−222222−220000000000000000000000
χ614-4-4-4444-4004-400-440000000000000000000004-400000000000000000000000000
χ624-4-4-4444-4004-400-44000000000000000000000-4400000000000000000000000000
χ634-4-4-4444-400-44004-400000000000000000004-40000000000000000000000000000
χ644-4-4-4444-400-44004-40000000000000000000-440000000000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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