Finite Group Databasebeta

← Group #279466

Character table — Group #279466

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-1111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11
χ12111111111-1-1-1-1111111111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ13111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ14111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ172222222222222-2-2222-2-2-2-222-2-22222-2-2-2-2-2000000000000000000000000000000
χ182222222222222-2-2222-2-2-2-222-2-2-2-2-2-2-22222000000000000000000000000000000
χ19222222222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-22-2-222000000000000000000000000000000
χ20222222222-2-2-2-2-2-2222-2-2-2-2-2-222-2-222222-2-2000000000000000000000000000000
χ2122222222-2222222-2-2-222-2-2-2-2220000-200000000000022-2-222-2-200000000000000
χ2222222222-2222222-2-2-222-2-2-2-2220000-2000000000000-2-222-2-22200000000000000
χ2322222222-22222-2-2-2-2-2-2-222-2-2-2-2000020000000000000000000000002i−2i2i−2i000000
χ2422222222-22222-2-2-2-2-2-2-222-2-2-2-200002000000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-222-2-2-222-2-222-2-20000200000000000022-2-2-2-22200000000000000
χ2622222222-2-2-2-2-222-2-2-222-2-222-2-200002000000000000-2-22222-2-200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000000000−2i2i2i−2i000000
χ29222-2-2-22-220000222-2-2-2-22-200002-20002-20022-2-20000000000002-2000000000000
χ30222-2-2-22-220000222-2-2-2-22-200002-20002-200-2-222000000000000-22000000000000
χ31222-2-2-22-220000222-2-2-2-22-20000-22000-220022-2-2000000000000-22000000000000
χ32222-2-2-22-220000222-2-2-2-22-20000-22000-2200-2-2220000000000002-2000000000000
χ33222-2-2-22-220000-2-22-2-222-2200002-2000-220000002i2i−2i−2i00000000002i−2i0000000000
χ34222-2-2-22-220000-2-22-2-222-2200002-2000-22000000−2i−2i2i2i0000000000−2i2i0000000000
χ35222-2-2-22-220000-2-22-2-222-220000-220002-20000002i2i−2i−2i0000000000−2i2i0000000000
χ36222-2-2-22-220000-2-22-2-222-220000-220002-2000000−2i−2i2i2i00000000002i−2i0000000000
χ372-2-22-222-202i2i−2i−2i2-20002-200002i−2i0000000002−22−2i2−i2i2−i2002-2002i−2i000000002−2i2−i200
χ382-2-22-222-202i2i−2i−2i2-20002-200002i−2i0000000002−22−2i2−i2i2−i200-2200−2i2i00000000−22−i2i200
χ392-2-22-222-202i2i−2i−2i2-20002-200002i−2i000000000−22−22−i2i2−i2i2002-2002i−2i00000000−22−i2i200
χ402-2-22-222-202i2i−2i−2i2-20002-200002i−2i000000000−22−22−i2i2−i2i200-2200−2i2i000000002−2i2−i200
χ412-2-22-222-20−2i−2i2i2i2-20002-20000−2i2i0000000002−22−2−i2i2−i2i2002-200−2i2i000000002−2−i2i200
χ422-2-22-222-20−2i−2i2i2i2-20002-20000−2i2i0000000002−22−2−i2i2−i2i200-22002i−2i00000000−22i2−i200
χ432-2-22-222-20−2i−2i2i2i2-20002-20000−2i2i000000000−22−22i2−i2i2−i2002-200−2i2i00000000−22i2−i200
χ442-2-22-222-20−2i−2i2i2i2-20002-20000−2i2i000000000−22−22i2−i2i2−i200-22002i−2i000000002−2−i2i200
χ45444-4-4-44-4-4000044-444-4-4-440000000000000000000000000000000000000000000
χ46444-4-4-44-4-40000-4-4-444444-40000000000000000000000000000000000000000000
χ4744-444-4-4-444-44-400-4-4400004-400000000000000000000000000000000000000000
χ4844-444-4-4-44-44-4400-4-440000-4400000000000000000000000000000000000000000
χ4944-444-4-4-4-44-44-40044-40000-4400000000000000000000000000000000000000000
χ5044-444-4-4-4-4-44-440044-400004-400000000000000000000000000000000000000000
χ5144-4-4-44-444000000-44-400000000004i−4i00000000000000000000000000000000000
χ5244-4-4-44-444000000-44-40000000000−4i4i00000000000000000000000000000000000
χ5344-4-4-44-44-40000004-440000000000000004-4000000000000000000000000000000
χ5444-4-4-44-44-40000004-44000000000000000-44000000000000000000000000000000
χ554-444-4-4-4404i−4i−4i4i00000000000000000000000000000022−22002i2−2i20000000000000000
χ564-444-4-4-4404i−4i−4i4i000000000000000000000000000000−222200−2i22i20000000000000000
χ574-444-4-4-440−4i4i4i−4i00000000000000000000000000000022−2200−2i22i20000000000000000
χ584-444-4-4-440−4i4i4i−4i000000000000000000000000000000−2222002i2−2i20000000000000000
χ594-4-44-444-404i4i−4i−4i-44000-440000−4i4i000000000000000000000000000000000000000
χ604-4-44-444-40−4i−4i4i4i-44000-4400004i−4i000000000000000000000000000000000000000
χ614-4-4-44-444000004-4000-4400000000000000022−22−222200000000000000000000000000
χ624-4-4-44-444000004-4000-44000000000000000−222222−2200000000000000000000000000
χ634-4-4-44-44400000-440004-4000000000000000000022−22−22220000000000000000000000
χ644-4-4-44-44400000-440004-40000000000000000000−222222−220000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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