Finite Group Databasebeta

← Group #279630

Character table — Group #279630

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1111111-1-1
χ9111111111111111111-1-1-1-1-1-111111111-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111111111-1-1-111-1-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11-1-111-1-1-11
χ172222222222-2-2-222-2-2-222-2-2-2-22222000020000-2-222-2-20000000000000000000000
χ182222222222-2-2-222-2-2-222-2-2-2-2-2-2-2-200002000022-2-2220000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2222222220000-20000-2-2-2-2220000000000000000000000
χ202222222222-2-2-222-2-2-2-2-22222-2-2-2-20000-200002222-2-20000000000000000000000
χ2122222222-2-2222-2-22-2-22222-2-2000022-2-2-200000000000000000000200-200000000
χ2222222222-2-2222-2-22-2-22222-2-20000-2-222-200000000000000000000-200200000000
χ2322222222-2-2222-2-22-2-2-2-2-2-222000022-2-2200000000000000000000-200200000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2220000-2-222200000000000000000000200-200000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22200000000-200000000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200000000-20000000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-2-200000000200000000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2-20000000020000000000−2i−2i2i2i00000000002i−2i000000
χ292222-2-2-2-2222-22-2-2-22-200000000002-22-2022-2-2000000000000002-2000000000000
χ302222-2-2-2-2222-22-2-2-22-200000000002-22-20-2-22200000000000000-22000000000000
χ312222-2-2-2-2222-22-2-2-22-20000000000-22-22022-2-200000000000000-22000000000000
χ322222-2-2-2-2222-22-2-2-22-20000000000-22-220-2-222000000000000002-2000000000000
χ332222-2-2-2-2-2-22-2222-2-2200000000002-2-220000000000000002i2i−2i−2i0002i−2i000000000
χ342222-2-2-2-2-2-22-2222-2-2200000000002-2-22000000000000000−2i−2i2i2i000−2i2i000000000
χ352222-2-2-2-2-2-22-2222-2-220000000000-222-20000000000000002i2i−2i−2i000−2i2i000000000
χ362222-2-2-2-2-2-22-2222-2-220000000000-222-2000000000000000−2i−2i2i2i0002i−2i000000000
χ3722-2-22-2-222-20002-2000002i−2i2i−2i2i2i−2i−2i00000i2−i2i2−i200002-200002−22−2000000002−2i2−i200
χ3822-2-22-2-222-20002-2000002i−2i2i−2i2i2i−2i−2i00000−i2i2−i2i200002-20000−22−2200000000−22−i2i200
χ3922-2-22-2-222-20002-2000002i−2i2i−2i−2i−2i2i2i00000i2−i2i2−i20000-2200002−22−200000000−22−i2i200
χ4022-2-22-2-222-20002-2000002i−2i2i−2i−2i−2i2i2i00000−i2i2−i2i20000-220000−22−22000000002−2i2−i200
χ4122-2-22-2-222-20002-200000−2i2i−2i2i2i2i−2i−2i00000i2−i2i2−i20000-220000−22−22000000002−2−i2i200
χ4222-2-22-2-222-20002-200000−2i2i−2i2i2i2i−2i−2i00000−i2i2−i2i20000-2200002−22−200000000−22i2−i200
χ4322-2-22-2-222-20002-200000−2i2i−2i2i−2i−2i2i2i00000i2−i2i2−i200002-20000−22−2200000000−22i2−i200
χ4422-2-22-2-222-20002-200000−2i2i−2i2i−2i−2i2i2i00000−i2i2−i2i200002-200002−22−2000000002−2−i2i200
χ454444-4-4-4-444-44-4-4-44-4400000000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ4744-4-44-4-44-44000-44000004i−4i−4i4i00000000000000000000000000000000000000000
χ4844-4-44-4-44-44000-4400000−4i4i4i−4i00000000000000000000000000000000000000000
χ4944-4-4-444-44-4000-440000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5044-4-4-444-44-4000-44000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ5144-4-4-444-4-440004-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5244-4-4-444-4-440004-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ534-44-444-4-400000000004-400002i2−2i22i2−2i2000000000002i2−2i2000000000000000000000000
χ544-44-444-4-400000000004-40000−2i22i2−2i22i200000000000−2i22i2000000000000000000000000
χ554-44-444-4-40000000000-4400002i2−2i22i2−2i200000000000−2i22i2000000000000000000000000
χ564-44-444-4-40000000000-440000−2i22i2−2i22i2000000000002i2−2i2000000000000000000000000
χ574-4-444-44-40044-400-40000000022−22−222200000000022−2200000000000000000000000000
χ584-4-444-44-40044-400-400000000−222222−22000000000−222200000000000000000000000000
χ594-4-444-44-400-4-440040000000022−22−2222000000000−222200000000000000000000000000
χ604-4-444-44-400-4-4400400000000−222222−2200000000022−2200000000000000000000000000
χ614-4-44-44-44004-4-400400000000000000000000000000022−2222−22000000000000000000
χ624-4-44-44-44004-4-4004000000000000000000000000000−2222−2222000000000000000000
χ634-4-44-44-4400-44400-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ644-4-44-44-4400-44400-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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