Finite Group Databasebeta

← Group #100352

Character table — Group #100352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888888888888888844
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
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1111-1-1-1-1-1-11-111-1-1-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-11-1
χ1011111111-1111-1-1-1-1-1-11-111-1-1-1-111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111-11
χ1111111111-1111-1-1-1-1-1-11-111-1-1-1-111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111-11
χ1211111111-1111-1-1-1-1-1-11-111-1-1-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-11-1
χ1311111111-1111-1-1-1-1-1-11-111-1-1-1-11-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-1-11
χ1411111111-1111-1-1-1-1-1-11-111-1-1-1-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-1111-1
χ1511111111-1111-1-1-1-1-1-11-111-1-1-1-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-1111-1
χ1611111111-1111-1-1-1-1-1-11-111-1-1-1-11-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-1-11
χ17222222222222-2-2-22222-2-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ18222222222222-2-2-22222-2-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ19222222222-2-2-2222222-2222-2-2-2-2-20000000022-2-222-2-20000000000000000000000
χ20222222222-2-2-2222222-2222-2-2-2-2-200000000-2-222-2-2220000000000000000000000
χ21222222222-2-2-2-2-2-2222-2-2-2-2-2-22220000000000000000000000002-22-20000000000
χ22222222222-2-2-2-2-2-2222-2-2-2-2-2-2222000000000000000000000000-22-220000000000
χ2322222222-2222222-2-2-222-2-2-2-222-222-2-2-2-222000000000000000000000000000000
χ2422222222-2222222-2-2-222-2-2-2-222-2-2-22222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2222-2-2-2-22-2-222-2-220000000000000000000000002i−2i−2i2i0000000000
χ2622222222-2-2-2-2222-2-2-2-22-2-222-2-22000000000000000000000000−2i2i2i−2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ29222-2-2-2-2220002-2-22-2-2022-20000000000000002-2002-2i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i200
χ30222-2-2-2-2220002-2-22-2-2022-20000000000000002-2002-2−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i200
χ31222-2-2-2-2220002-2-22-2-2022-2000000000000000-2200-22i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i200
χ32222-2-2-2-2220002-2-22-2-2022-2000000000000000-2200-22−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i200
χ33222-2-2-2-22-2000-222-2220-22-20000000000000002i−2i00−2i2i22−2−2−2−22200000000−i2i2i2−i200
χ34222-2-2-2-22-2000-222-2220-22-20000000000000002i−2i00−2i2i−2−22222−2−200000000i2−i2−i2i200
χ35222-2-2-2-22-2000-222-2220-22-2000000000000000−2i2i002i−2i22−2−2−2−22200000000i2−i2−i2i200
χ36222-2-2-2-22-2000-222-2220-22-2000000000000000−2i2i002i−2i−2−22222−2−200000000−i2i2i2−i200
χ3722-222-2-2-222-2-2000-2-2220002-2000002i−2i002i−2i00000000i2−i2i2−i2i2−i2i2−i200002−22−2000000
χ3822-222-2-2-222-2-2000-2-2220002-2000002i−2i002i−2i00000000−i2i2−i2i2−i2i2−i2i20000−22−22000000
χ3922-222-2-2-222-2-2000-2-2220002-200000−2i2i00−2i2i00000000i2−i2i2−i2i2−i2i2−i20000−22−22000000
χ4022-222-2-2-222-2-2000-2-2220002-200000−2i2i00−2i2i00000000−i2i2−i2i2−i2i2−i2i200002−22−2000000
χ4122-222-2-2-2-22-2-200022-22000-22000002i−2i00−2i2i000000002−22−2−22−220000−i2i2i2−i2000000
χ4222-222-2-2-2-22-2-200022-22000-22000002i−2i00−2i2i00000000−22−222−22−20000i2−i2−i2i2000000
χ4322-222-2-2-2-22-2-200022-22000-2200000−2i2i002i−2i000000002−22−2−22−220000i2−i2−i2i2000000
χ4422-222-2-2-2-22-2-200022-22000-2200000−2i2i002i−2i00000000−22−222−22−20000−i2i2i2−i2000000
χ45444-4-4-4-444000-4444-4-40-4-440000000000000000000000000000000000000000000
χ46444-4-4-4-44-40004-4-4-44404-440000000000000000000000000000000000000000000
χ4744-444-4-4-44-444000-4-44-4000-4400000000000000000000000000000000000000000
χ4844-444-4-4-4-4-44400044-4-40004-400000000000000000000000000000000000000000
χ4944-4-4-444-44000000-44-400000000000000000000000002-2-222-2-2200000000000000
χ5044-4-4-444-44000000-44-40000000000000000000000000-222-2-222-200000000000000
χ5144-4-4-444-4-40000004-4400000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ5244-4-4-444-4-40000004-440000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ534-444-44-4-4044-4000000-40000000000004-400000000000000000000000000000000
χ544-444-44-4-4044-4000000-4000000000000-4400000000000000000000000000000000
χ554-444-44-4-40-4-440000004000000004i−4i000000000000000000000000000000000000
χ564-444-44-4-40-4-44000000400000000−4i4i000000000000000000000000000000000000
χ574-4-44-4-44404-4444-4000-4-400004-4000000000000000000000000000000000000000
χ584-4-44-4-44404-44-4-44000-440000-44000000000000000000000000000000000000000
χ594-4-44-4-4440-44-444-40004-40000-44000000000000000000000000000000000000000
χ604-4-44-4-4440-44-4-4-440004400004-4000000000000000000000000000000000000000
χ614-4-4-444-4400004-440000-40000000000000002i2−2i2002i2−2i2000000000000000000000000
χ624-4-4-444-4400004-440000-4000000000000000−2i22i200−2i22i2000000000000000000000000
χ634-4-4-444-440000-44-40000400000000000000022−2200−2222000000000000000000000000
χ644-4-4-444-440000-44-400004000000000000000−22220022−22000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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