Finite Group Databasebeta

← Group #309576

Character table — Group #309576

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111
χ511111111111111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-111111111-1-11-1-1-1-1-111-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111
χ711111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-11111111111-1-1-1-11111-1-1-11-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-11111-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1111-1-11111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11
χ17222222222-222-2-22-200002222-2-200002222002200-2-200-2-2000000000000000-2000000000
χ18222222222-222-2-22-200002222-2-20000-2-2-2-200-2-200-2-200220000000000000002000000000
χ19222222222-222-2-22-20000-2-2-2-2-2-20000222200-2-2002200-2-20000000000000002000000000
χ20222222222-222-2-22-20000-2-2-2-2-2-20000-2-2-2-2002200220022000000000000000-2000000000
χ2122222222-22-2-222-2222220000-2-2222200002200-2-200-2-20000000000000000-20000000000
χ2222222222-22-2-222-2222220000-2-2-2-2-2-20000-2-200-2-20022000000000000000020000000000
χ2322222222-22-2-222-22-2-2-2-20000-2-222220000-2-2002200-2-2000000000000000020000000000
χ2422222222-22-2-222-22-2-2-2-20000-2-2-2-2-2-2000022002200220000000000000000-20000000000
χ25222-22-2-2-202002-20-222-2-200000022-2-222−2−22-2000000002−2000022−2−222−2−2000000002−2000
χ26222-22-2-2-202002-20-222-2-200000022-2-2−2−2222-200000000−220000−2−222−2−22200000000−22000
χ27222-22-2-2-202002-20-222-2-2000000-2-22222−2−2-22000000002−2000022−2−2−2−22200000000−22000
χ28222-22-2-2-202002-20-222-2-2000000-2-222−2−222-2200000000−220000−2−22222−2−2000000002−2000
χ29222-22-2-2-202002-20-2-2-22200000022-2-222−2−2-22000000002−20000−2−22222−2−200000000−22000
χ30222-22-2-2-202002-20-2-2-22200000022-2-2−2−222-2200000000−22000022−2−2−2−222000000002−2000
χ31222-22-2-2-202002-20-2-2-222000000-2-22222−2−22-2000000002−20000−2−222−2−222000000002−2000
χ32222-22-2-2-202002-20-2-2-222000000-2-222−2−2222-200000000−22000022−2−222−2−200000000−22000
χ3322-22-22-2-2202-200-20000022-2-2002−22−22-22-2002-200002−20022−2−200002−22−200000000002−20
χ3422-22-22-2-2202-200-20000022-2-2002−22−2-22-2200-2200002−20022−2−20000−22−220000000000−220
χ3522-22-22-2-2202-200-20000022-2-200−22−222-22-2002-20000−2200−2−2220000−22−220000000000−220
χ3622-22-22-2-2202-200-20000022-2-200−22−22-22-2200-220000−2200−2−22200002−22−200000000002−20
χ3722-22-22-2-2202-200-200000-2-222002−22−22-22-200-2200002−200−2−22200002−22−20000000000−220
χ3822-22-22-2-2202-200-200000-2-222002−22−2-22-22002-200002−200−2−2220000−22−2200000000002−20
χ3922-22-22-2-2202-200-200000-2-22200−22−222-22-200-220000−220022−2−20000−22−2200000000002−20
χ4022-22-22-2-2202-200-200000-2-22200−22−22-22-22002-20000−220022−2−200002−22−20000000000−220
χ412-2-2-2222-222-2-2-2-2222i−2i2i−2i2i−2i2i−2i2-20000000000002i−2i2i−2i00000000000000002-200000000000
χ422-2-2-2222-222-2-2-2-2222i−2i2i−2i−2i2i−2i2i2-20000000000002i−2i−2i2i0000000000000000-2200000000000
χ432-2-2-2222-222-2-2-2-222−2i2i−2i2i2i−2i2i−2i2-2000000000000−2i2i2i−2i0000000000000000-2200000000000
χ442-2-2-2222-222-2-2-2-222−2i2i−2i2i−2i2i−2i2i2-2000000000000−2i2i−2i2i00000000000000002-200000000000
χ452-2-2-2222-22-2-2-2222-200002i−2i2i−2i-2200000000000000−2i2i000000002-22-200000000002i−2i00000
χ462-2-2-2222-22-2-2-2222-200002i−2i2i−2i-2200000000000000−2i2i00000000-22-220000000000−2i2i00000
χ472-2-2-2222-22-2-2-2222-20000−2i2i−2i2i-22000000000000002i−2i000000002-22-20000000000−2i2i00000
χ482-2-2-2222-22-2-2-2222-20000−2i2i−2i2i-22000000000000002i−2i00000000-22-2200000000002i−2i00000
χ492-2-2-2222-2-2222-2-2-222i−2i2i−2i0000-22000000000000−2i2i0000002-22-20000000000002i−2i0000000
χ502-2-2-2222-2-2222-2-2-222i−2i2i−2i0000-22000000000000−2i2i000000-22-22000000000000−2i2i0000000
χ512-2-2-2222-2-2222-2-2-22−2i2i−2i2i0000-220000000000002i−2i0000002-22-2000000000000−2i2i0000000
χ522-2-2-2222-2-2222-2-2-22−2i2i−2i2i0000-220000000000002i−2i000000-22-220000000000002i−2i0000000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000
χ54444-44-4-4-40-400-4404000000000000002222−22−220000000000−22220000000000000000000000000
χ55444-44-4-4-40-400-440400000000000000−22−222222000000000022−220000000000000000000000000
χ5644-44-44-4-4-40-440040000000000022−2222−22000000000000−2222000000000000000000000000000
χ5744-44-44-4-4-40-4400400000000000−2222−222200000000000022−22000000000000000000000000000
χ5844-4-4-4-44400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ5944-4-4-4-44400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ6044-4-4-4-444000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ6144-4-4-4-444000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ624-44-4-44-4440-4400-4000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ634-44-4-44-4440-4400-400000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ644-44-4-44-44-404-4004000000000000000000000000000000022−22−2222000000000000000000000
χ654-44-4-44-44-404-40040000000000000000000000000000000−222222−22000000000000000000000
χ664-4-444-4-440400-440-44i−4i−4i4i000000000000000000000000000000000000000000000000000
χ674-4-444-4-440400-440-4−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ684-4-444-4-440-4004-404000000000000000000000000000000000022−22−222200000000000000000
χ694-4-444-4-440-4004-4040000000000000000000000000000000000−222222−2200000000000000000
χ704-4-4-4444-4-4-44444-4-4000000004-4000000000000000000000000000000000000000000000
χ718-888-8-88-8000000000000000000000000000000000000000000000000000000000000000

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