Finite Group Databasebeta

← Group #279404

Character table — Group #279404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-11111111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11
χ1011111111111-1-1-1-11111111-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ1111111111111-1-1-1-11111111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-11-1
χ1211111111111-1-1-1-11111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-11
χ1311111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1
χ1411111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-11
χ1511111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-11
χ1611111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-11-1
χ17222222222-2-2222222-22-2-2-222-2-222-2-2-222-2-2000000000000000000000000000000
χ18222222222-2-2222222-22-2-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-2-2-222222-2-2-2-222000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-2-2-222-2-222222-2-2000000000000000000000000000000
χ2122222222-2222222-2-22-22-2-2-2-22200-2000000000022220000-2-2-2-200000000000000
χ2222222222-2222222-2-22-22-2-2-2-22200-20000000000-2-2-2-20000222200000000000000
χ2322222222-222-2-2-2-2-2-22-22-2-222-2-2002000000000022-2-20000-2-22200000000000000
χ2422222222-222-2-2-2-2-2-22-22-2-222-2-20020000000000-2-222000022-2-200000000000000
χ2522222222-2-2-22222-2-2-2-2-222-2-2-2-20020000000000000000000000000000002i−2i2i−2i00
χ2622222222-2-2-22222-2-2-2-2-222-2-2-2-2002000000000000000000000000000000−2i2i−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000000000−2i2i2i−2i00
χ29222-2-22-2-222200002-2-2-2-22-200002-202-2000022-2-20000000000002-2000000000000
χ30222-2-22-2-222200002-2-2-2-22-200002-202-20000-2-222000000000000-22000000000000
χ31222-2-22-2-222200002-2-2-2-22-20000-220-22000022-2-2000000000000-22000000000000
χ32222-2-22-2-222200002-2-2-2-22-20000-220-220000-2-2220000000000002-2000000000000
χ33222-2-22-2-22-2-200002-22-22-2200002-20-220000000000002i2i−2i−2i0000002i−2i0000000000
χ34222-2-22-2-22-2-200002-22-22-2200002-20-22000000000000−2i−2i2i2i000000−2i2i0000000000
χ35222-2-22-2-22-2-200002-22-22-220000-2202-20000000000002i2i−2i−2i000000−2i2i0000000000
χ36222-2-22-2-22-2-200002-22-22-220000-2202-2000000000000−2i−2i2i2i0000002i−2i0000000000
χ372-2-2-2-222202-222-2-200-20200002-20000000002−22−200002−22−22-22-200002−22−2000000
χ382-2-2-2-222202-222-2-200-20200002-20000000002−22−200002−22−2-22-220000−22−22000000
χ392-2-2-2-222202-222-2-200-20200002-2000000000−22−220000−22−222-22-20000−22−22000000
χ402-2-2-2-222202-222-2-200-20200002-2000000000−22−220000−22−22-22-2200002−22−2000000
χ412-2-2-2-222202-2-2-22200-2020000-220000000002−22−20000−22−222-2-2200002−2−22000000
χ422-2-2-2-222202-2-2-22200-2020000-220000000002−22−20000−22−22-222-20000−222−2000000
χ432-2-2-2-222202-2-2-22200-2020000-22000000000−22−2200002−22−22-2-220000−222−2000000
χ442-2-2-2-222202-2-2-22200-2020000-22000000000−22−2200002−22−2-222-200002−2−22000000
χ45444-4-44-4-4-4440000-44-44-4-440000000000000000000000000000000000000000000
χ46444-4-44-4-4-4-4-40000-444444-40000000000000000000000000000000000000000000
χ4744-44-4-44-44000000-440-40000000000004-400000000000000000000000000000000
χ4844-44-4-44-44000000-440-4000000000000-4400000000000000000000000000000000
χ4944-44-4-44-4-40000004-404000000000000004i−4i000000000000000000000000000000
χ5044-44-4-44-4-40000004-40400000000000000−4i4i000000000000000000000000000000
χ5144-4-44-4-444004i−4i4i−4i-4-4040004i−4i00000000000000000000000000000000000000000
χ5244-4-44-4-44400−4i4i−4i4i-4-404000−4i4i00000000000000000000000000000000000000000
χ5344-4-44-4-44-4004i−4i4i−4i440-4000−4i4i00000000000000000000000000000000000000000
χ5444-4-44-4-44-400−4i4i−4i4i440-40004i−4i00000000000000000000000000000000000000000
χ554-444-4-4-440004i−4i−4i4i0000000000000000000000002i2−2i222−220000000000000000000000
χ564-444-4-4-440004i−4i−4i4i000000000000000000000000−2i22i2−22220000000000000000000000
χ574-444-4-4-44000−4i4i4i−4i0000000000000000000000002i2−2i2−22220000000000000000000000
χ584-444-4-4-44000−4i4i4i−4i000000000000000000000000−2i22i222−220000000000000000000000
χ594-4-4444-4-404-400000040-400000000000000022−22−222200000000000000000000000000
χ604-4-4444-4-404-400000040-4000000000000000−222222−2200000000000000000000000000
χ614-4-4444-4-40-44000000-404000000000000000000000002i2−2i2−2i22i2000000000000000000
χ624-4-4444-4-40-44000000-40400000000000000000000000−2i22i22i2−2i2000000000000000000
χ634-4-4-4-44440-4444-4-40040-40000-44000000000000000000000000000000000000000
χ644-4-4-4-44440-44-4-4440040-400004-4000000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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