Finite Group Databasebeta

← Group #280239

Character table — Group #280239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1
χ911111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-11111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1111111-1-111-1
χ17222222222-222-2-2-22-20000-222222200-2-22200-2-2000000000000-200000000000000
χ18222222222-222-2-2-22-20000-22222-2-20022-2-200-2-2000000000000200000000000000
χ19222222222-222-2-2-22-20000-2-2-2-2-22200-2-2-2-20022000000000000200000000000000
χ20222222222-222-2-2-22-20000-2-2-2-2-2-2-20022220022000000000000-200000000000000
χ2122222222-22-2-2222-2-22222-2000000220000-2-200-2-222000000000-20000000000000
χ2222222222-22-2-2222-2-22222-2000000-2-20000-2-20022-2-200000000020000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2000000220000220022-2-2000000000-20000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2000000-2-200002200-2-22200000000020000000000000
χ252-22-222-2-222-2-2-22-2222i2i−2i−2i-20000000000002i−2i0000000000000000002-200002i−2i000
χ262-22-222-2-222-2-2-22-2222i2i−2i−2i-20000000000002i−2i000000000000000000-220000−2i2i000
χ272-22-222-2-222-2-2-22-222−2i−2i2i2i-2000000000000−2i2i0000000000000000002-20000−2i2i000
χ282-22-222-2-222-2-2-22-222−2i−2i2i2i-2000000000000−2i2i000000000000000000-2200002i−2i000
χ292-22-222-2-2-2222-22-2-2-22i2i−2i−2i200002-2002-200−2i2i000000000000000000002i−2i0000000
χ302-22-222-2-2-2222-22-2-2-22i2i−2i−2i20000-2200-2200−2i2i00000000000000000000−2i2i0000000
χ312-22-222-2-2-2222-22-2-2-2−2i−2i2i2i200002-2002-2002i−2i00000000000000000000−2i2i0000000
χ322-22-222-2-2-2222-22-2-2-2−2i−2i2i2i20000-2200-22002i−2i000000000000000000002i−2i0000000
χ332-22-222-2-2-2-2222-22-220000-200002-200-2200000000002i2i−2i−2i0000002i−2i00000000000
χ342-22-222-2-2-2-2222-22-220000-200002-200-220000000000−2i−2i2i2i000000−2i2i00000000000
χ352-22-222-2-2-2-2222-22-220000-20000-22002-200000000002i2i−2i−2i000000−2i2i00000000000
χ362-22-222-2-2-2-2222-22-220000-20000-22002-20000000000−2i−2i2i2i0000002i−2i00000000000
χ372-2-222-22-202002-2-2002-22-2022−2−2002i−2i0000002−2002i−2i2−22−2i2i2−i2−i2000000000000i2−i20
χ382-2-222-22-202002-2-2002-22-2022−2−200−2i2i0000002−200−2i2i2−22−2−i2−i2i2i2000000000000−i2i20
χ392-2-222-22-202002-2-2002-22-20−2−222002i−2i000000−22002i−2i−22−22−i2−i2i2i2000000000000−i2i20
χ402-2-222-22-202002-2-2002-22-20−2−22200−2i2i000000−2200−2i2i−22−22i2i2−i2−i2000000000000i2−i20
χ412-2-222-22-202002-2-200-22-22022−2−2002i−2i0000002−200−2i2i−22−22−i2−i2i2i2000000000000i2−i20
χ422-2-222-22-202002-2-200-22-22022−2−200−2i2i0000002−2002i−2i−22−22i2i2−i2−i2000000000000−i2i20
χ432-2-222-22-202002-2-200-22-220−2−222002i−2i000000−2200−2i2i2−22−2i2i2−i2−i2000000000000−i2i20
χ442-2-222-22-202002-2-200-22-220−2−22200−2i2i000000−22002i−2i2−22−2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-4404-4000-400000000000000000000000000000000000000000022−2200000
χ474444-4-4-4-4404-4000-4000000000000000000000000000000000000000000−222200000
χ484444-4-4-4-4-40-44000400000000000000004i−4i0000000000000000000000000000000
χ494444-4-4-4-4-40-4400040000000000000000−4i4i0000000000000000000000000000000
χ5044-4-44-4-440400-4-44004i−4i−4i4i00000000000000000000000000000000000000000000
χ5144-4-44-4-440400-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5244-4-44-4-440-40044-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5344-4-44-4-440-40044-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5444-4-4-444-4000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ5544-4-4-444-4000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5644-4-4-444-400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5744-4-4-444-400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ584-44-444-4-44-4-4-44-444-4000040000000000000000000000000000000000000000000
χ594-44-4-4-44440-44000-40000004i−4i−4i4i000000000000000000000000000000000000000
χ604-44-4-4-44440-44000-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ614-44-4-4-444-404-4000400000000000000000000000000000022−22−2222000000000000000
χ624-44-4-4-444-404-40004000000000000000000000000000000−222222−22000000000000000
χ634-4-444-44-40-400-44400000002222−22−220000000000−2222000000000000000000000000000
χ644-4-444-44-40-400-4440000000−22−222222000000000022−22000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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