Finite Group Databasebeta

← Group #304354

Character table — Group #304354

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1
χ311111111111111111111111111-1-1111-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11111
χ5111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11-11111
χ7111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-11111-1111-1-11-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-1111111111-1-1-11111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-11111-1-1
χ10111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1-111-111-1-111
χ11111111111111-1-1-1-1-1-11-1-111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-111
χ12111111111111-1-1-1-1-1-11-1-111111-1-111-111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1111-11-1-111-1-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111111-111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1111-1111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1111-1-1-11-11-1-111
χ17222222222222222222-2-2-2-2-2-2002200-222000000000000000000000-20000-200000
χ18222222222222222222-2-2-2-2-2-200-2-200-2-2-200000000000000000000020000200000
χ19222222222222-2-2-2-2-2-2-222-2-2-20022002-2-200000000000000000000020000-200000
χ20222222222222-2-2-2-2-2-2-222-2-2-200-2-200222000000000000000000000-20000200000
χ2122222222-2-2-2-22222-2-22-2-2-2-222200-2-22000000000000000000200000000-2000000
χ2222222222-2-2-2-22222-2-22-2-2-2-22-2-200222000000000000000000-2000000002000000
χ2322222222-2-2-2-22222-2-2-22222-2000000-2000000000000000000022000-20000-20000
χ2422222222-2-2-2-22222-2-2-22222-2000000-20000000000000000000-2-20002000020000
χ2522222222-2-2-2-2-2-2-2-222222-2-222200-2-2-2000000000000000000-2000000002000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-20022-2000000000000000000200000000-2000000
χ2722222222-2-2-2-2-2-2-2-222-2-2-222-2000000200000000000000000002-200020000-20000
χ2822222222-2-2-2-2-2-2-2-222-2-2-222-200000020000000000000000000-22000-2000020000
χ29222-2-2-22-22-22-2000000-2002-222-2002-200000002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ30222-2-2-22-22-22-2000000-2002-222-2002-20000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ31222-2-2-22-22-22-2000000-2002-22-2200-2200000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ32222-2-2-22-22-22-2000000-2002-22-2200-220000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ33222-2-2-22-2-22-22000000-200-2222-200-220002i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ34222-2-2-22-2-22-22000000-200-2222-200-22000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ35222-2-2-22-2-22-22000000-200-222-22002-20002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ36222-2-2-22-2-22-22000000-200-222-22002-2000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ372-222-2-2-222-2-222i2i−2i−2i2i−2i000000002i−2i0002-2000000002−22−2i2−i2i2−i2000000000000i2−i22−2
χ382-222-2-2-222-2-222i2i−2i−2i2i−2i000000002i−2i0002-200000000−22−22−i2i2−i2i2000000000000−i2i2−22
χ392-222-2-2-222-2-222i2i−2i−2i2i−2i00000000−2i2i000-22000000002−22−2i2−i2i2−i2000000000000−i2i2−22
χ402-222-2-2-222-2-222i2i−2i−2i2i−2i00000000−2i2i000-2200000000−22−22−i2i2−i2i2000000000000i2−i22−2
χ412-222-2-2-222-2-22−2i−2i2i2i−2i2i000000002i−2i000-22000000002−22−2−i2i2−i2i2000000000000i2−i2−22
χ422-222-2-2-222-2-22−2i−2i2i2i−2i2i000000002i−2i000-2200000000−22−22i2−i2i2−i2000000000000−i2i22−2
χ432-222-2-2-222-2-22−2i−2i2i2i−2i2i00000000−2i2i0002-2000000002−22−2−i2i2−i2i2000000000000−i2i22−2
χ442-222-2-2-222-2-22−2i−2i2i2i−2i2i00000000−2i2i0002-200000000−22−22i2−i2i2−i2000000000000i2−i2−22
χ45444-4-4-44-44-44-4000000400-44-400000000000000000000000000000000000000000
χ46444-4-4-44-4-44-440000004004-4-400000000000000000000000000000000000000000
χ4744-444-4-4-400004-44-4000000000000000002-22-22-22-2000000000000000000000000
χ4844-444-4-4-400004-44-400000000000000000-22-22-22-22000000000000000000000000
χ4944-444-4-4-40000-44-44000000000000000002-22-2-22-22000000000000000000000000
χ5044-444-4-4-40000-44-4400000000000000000-22-222-22-2000000000000000000000000
χ5144-4-4-44-44000000000004-40000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ5244-4-4-44-44000000000004-4000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ5344-4-4-44-4400000000000-440000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5444-4-4-44-4400000000000-44000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ554-444-4-4-44-444-44i4i−4i−4i−4i4i00000000000000000000000000000000000000000000000
χ564-444-4-4-44-444-4−4i−4i4i4i4i−4i00000000000000000000000000000000000000000000000
χ574-44-444-4-444-4-400000000000000000000000000000000022−22−22220000000000000000
χ584-44-444-4-444-4-4000000000000000000000000000000000−222222−220000000000000000
χ594-44-444-4-4-4-444000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-44-444-4-4-4-44400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ614-4-44-444-400004i−4i−4i4i0000000000000000000000000000000000002i−2i002-20000000
χ624-4-44-444-400004i−4i−4i4i000000000000000000000000000000000000−2i2i00-220000000
χ634-4-44-444-40000−4i4i4i−4i0000000000000000000000000000000000002i−2i00-220000000
χ644-4-44-444-40000−4i4i4i−4i000000000000000000000000000000000000−2i2i002-20000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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