Finite Group Databasebeta

← Group #303255

Character table — Group #303255

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888882224444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111111-1-1-11-1-1-1-1-11-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111
χ5111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11-1-1-11-1-111-111-1-1-1-1
χ6111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-11111-111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-1111111111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-111-1-1-111-1-1
χ10111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-111-1-111
χ11111111111111-1-1-1-1-1-11-1-111111-1-11111-11111-1-1-1-11111-1-1-1-1-1-11-11-11-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-11111-1-1-1-11111-1-11-11-1111-1-1-111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-11-1-111111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-111111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11-1111-1111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-200220022-20000000000000000-2000-200000000000
χ18222222222222222222-2-2-2-2-2-200-2-200-2-2-200000000000000002000200000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-2002200-2-220000000000000000-2000200000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-200-2-20022200000000000000002000-200000000000
χ2122222222-2-2-2-22222-2-22-2-2-2-222200-2-20020000000000000000000200000-2000000
χ2222222222-2-2-2-22222-2-22-2-2-2-22-2-200220020000000000000000000-2000002000000
χ2322222222-2-2-2-22222-2-2-22222-200000000-2000000000000000002-200-22000000000
χ2422222222-2-2-2-22222-2-2-22222-200000000-200000000000000000-22002-2000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-222200-2-200-20000000000000000000-2000002000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-2002200-20000000000000000000200000-2000000
χ2722222222-2-2-2-2-2-2-2-222-2-2-222-2000000002000000000000000002200-2-2000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-222-200000000200000000000000000-2-20022000000000
χ29222-22-2-2-2-2-22222-2-22-2000000002i−2i002i−2i000000000i2i2−i2−i2i2i2−i2−i20000000000002−22−2
χ30222-22-2-2-2-2-22222-2-22-2000000002i−2i002i−2i000000000−i2−i2i2i2−i2−i2i2i2000000000000−22−22
χ31222-22-2-2-2-2-22222-2-22-200000000−2i2i00−2i2i000000000i2i2−i2−i2i2i2−i2−i2000000000000−22−22
χ32222-22-2-2-2-2-22222-2-22-200000000−2i2i00−2i2i000000000−i2−i2i2i2−i2−i2i2i20000000000002−22−2
χ33222-22-2-2-2-2-222-2-222-22000000002i−2i00−2i2i000000000i2i2−i2−i2−i2−i2i2i20000000000002−2−22
χ34222-22-2-2-2-2-222-2-222-22000000002i−2i00−2i2i000000000−i2−i2i2i2i2i2−i2−i2000000000000−222−2
χ35222-22-2-2-2-2-222-2-222-2200000000−2i2i002i−2i000000000i2i2−i2−i2−i2−i2i2i2000000000000−222−2
χ36222-22-2-2-2-2-222-2-222-2200000000−2i2i002i−2i000000000−i2−i2i2i2i2i2−i2−i20000000000002−2−22
χ372-2-2222-2-22-22-20000002002-2-22-2002-200000002i2i−2i−2i00002i−2i2i−2i0000000000000000
χ382-2-2222-2-22-22-20000002002-2-22-2002-20000000−2i−2i2i2i0000−2i2i−2i2i0000000000000000
χ392-2-2222-2-22-22-20000002002-2-2-2200-2200000002i2i−2i−2i0000−2i2i−2i2i0000000000000000
χ402-2-2222-2-22-22-20000002002-2-2-2200-220000000−2i−2i2i2i00002i−2i2i−2i0000000000000000
χ412-2-2222-2-2-22-22000000200-22-22-200-220002i2i−2i−2i00002i−2i2i−2i00000000000000000000
χ422-2-2222-2-2-22-22000000200-22-22-200-22000−2i−2i2i2i0000−2i2i−2i2i00000000000000000000
χ432-2-2222-2-2-22-22000000200-22-2-22002-20002i2i−2i−2i0000−2i2i−2i2i00000000000000000000
χ442-2-2222-2-2-22-22000000200-22-2-22002-2000−2i−2i2i2i00002i−2i2i−2i00000000000000000000
χ45444-44-4-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000
χ46444-44-4-4-444-4-4-4-4444-400000000000000000000000000000000000000000000000
χ4744-44-4-4-4400004i−4i4i−4i000000000000000002i−2i2i−2i2-22-2000000000000000000000000
χ4844-44-4-4-4400004i−4i4i−4i00000000000000000−2i2i−2i2i-22-22000000000000000000000000
χ4944-44-4-4-440000−4i4i−4i4i000000000000000002i−2i2i−2i-22-22000000000000000000000000
χ5044-44-4-4-440000−4i4i−4i4i00000000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ5144-4-4-444-400004i−4i−4i4i00000000000000000000000000000000000000002-202i−2i0000
χ5244-4-4-444-400004i−4i−4i4i0000000000000000000000000000000000000000-220−2i2i0000
χ5344-4-4-444-40000−4i4i4i−4i00000000000000000000000000000000000000002-20−2i2i0000
χ5444-4-4-444-40000−4i4i4i−4i0000000000000000000000000000000000000000-2202i−2i0000
χ554-444-4-44-4000000000004i−4i0000000000002-2-222i−2i−2i2i000000000000000000000000
χ564-444-4-44-4000000000004i−4i000000000000-222-2−2i2i2i−2i000000000000000000000000
χ574-444-4-44-400000000000−4i4i0000000000002-2-22−2i2i2i−2i000000000000000000000000
χ584-444-4-44-400000000000−4i4i000000000000-222-22i−2i−2i2i000000000000000000000000
χ594-4-4444-4-44-44-4000000-400-44400000000000000000000000000000000000000000
χ604-4-4444-4-4-44-44000000-4004-4400000000000000000000000000000000000000000
χ614-4-4-44-4444-4-440000000000000000000000000000022−22−222200000000000000000000
χ624-4-4-44-4444-4-4400000000000000000000000000000−222222−2200000000000000000000
χ634-4-4-44-444-444-400000000000000000000000000000000022−22−22220000000000000000
χ644-4-4-44-444-444-4000000000000000000000000000000000−222222−220000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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