Finite Group Databasebeta

← Group #280355

Character table — Group #280355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-1111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111-1-1-111-1-111-1
χ17222222222-2-22-2-2220000-2-222220022-2-20022-2-2000000000000-200000000000000
χ18222222222-2-22-2-2220000-2-2222200-2-22200-2-2-2-2000000000000200000000000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-20022-2-200-2-222000000000000200000000000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-200-2-222002222000000000000-200000000000000
χ2122222222-222-222-2-22222-2-20000220000-2-2000022-2-20000000000000-2000000000
χ2222222222-222-222-2-22222-2-20000-2-20000-2-20000-2-22200000000000002000000000
χ2322222222-222-222-2-2-2-2-2-2-2-20000220000220000-2-2220000000000000-2000000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000-2-2000022000022-2-200000000000002000000000
χ252-222-2-2-22222-2-2-22-222-2-2-220000002i−2i2i−2i2-2000000000000000002i−2i000000000000
χ262-222-2-2-22222-2-2-22-222-2-2-22000000−2i2i−2i2i2-200000000000000000−2i2i000000000000
χ272-222-2-2-22222-2-2-22-2-2-222-220000002i−2i2i−2i-2200000000000000000−2i2i000000000000
χ282-222-2-2-22222-2-2-22-2-2-222-22000000−2i2i−2i2i-22000000000000000002i−2i000000000000
χ292-222-2-2-222-2-2-2222-200002-20000002i−2i−2i2i00000000002i2i−2i−2i00000000002-20000000
χ302-222-2-2-222-2-2-2222-200002-20000002i−2i−2i2i0000000000−2i−2i2i2i0000000000-220000000
χ312-222-2-2-222-2-2-2222-200002-2000000−2i2i2i−2i00000000002i2i−2i−2i0000000000-220000000
χ322-222-2-2-222-2-2-2222-200002-2000000−2i2i2i−2i0000000000−2i−2i2i2i00000000002-20000000
χ332-222-2-2-22-2222-2-2-2222-2-22-20000000000-2200000000000000000002i−2i000002i−2i000
χ342-222-2-2-22-2222-2-2-2222-2-22-20000000000-220000000000000000000−2i2i00000−2i2i000
χ352-222-2-2-22-2222-2-2-22-2-2222-200000000002-200000000000000000002i−2i00000−2i2i000
χ362-222-2-2-22-2222-2-2-22-2-2222-200000000002-20000000000000000000−2i2i000002i−2i000
χ372-22-2-222-202-202-2002-22-200i2i2−i2−i22-200000000i2−i22-200i2−i2i2−i2i2i2−i2−i200000000i2−i200000
χ382-22-2-222-202-202-2002-22-200i2i2−i2−i2-2200000000i2−i2-2200i2−i2i2−i2−i2−i2i2i200000000−i2i200000
χ392-22-2-222-202-202-2002-22-200−i2−i2i2i22-200000000−i2i22-200−i2i2−i2i2−i2−i2i2i200000000−i2i200000
χ402-22-2-222-202-202-2002-22-200−i2−i2i2i2-2200000000−i2i2-2200−i2i2−i2i2i2i2−i2−i200000000i2−i200000
χ412-22-2-222-202-202-200-22-2200i2i2−i2−i22-200000000i2−i2-2200−i2i2−i2i2−i2−i2i2i200000000i2−i200000
χ422-22-2-222-202-202-200-22-2200i2i2−i2−i2-2200000000i2−i22-200−i2i2−i2i2i2i2−i2−i200000000−i2i200000
χ432-22-2-222-202-202-200-22-2200−i2−i2i2i22-200000000−i2i2-2200i2−i2i2−i2i2i2−i2−i200000000−i2i200000
χ442-22-2-222-202-202-200-22-2200−i2−i2i2i2-2200000000−i2i22-200i2−i2i2−i2−i2−i2i2i200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-404-40-44004-4-44000000000000000000000000000000000000000000000
χ47444-44-4-4-404-40-4400-444-4000000000000000000000000000000000000000000000
χ48444-44-4-4-40-4404-4000000000000000000000000000022−22−22220000000000000000000
χ49444-44-4-4-40-4404-40000000000000000000000000000−222222−220000000000000000000
χ5044-4-4-44-44400400-4-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-4-44-44400400-4-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-4-44-44-400-400440000004-44-4000000000000000000000000000000000000000
χ5344-4-4-44-44-400-40044000000-44-44000000000000000000000000000000000000000
χ544-444-4-4-44-4-4-4444-440000-440000000000000000000000000000000000000000000
χ554-44-4-444-40-440-44000000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ564-44-4-444-40-440-4400000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ574-4-4444-4-4000000000000002i2−2i2−2i22i2000000000000002i2−2i200002-2-22000000000000000
χ584-4-4444-4-4000000000000002i2−2i2−2i22i200000000000000−2i22i20000-222-2000000000000000
χ594-4-4444-4-400000000000000−2i22i22i2−2i2000000000000002i2−2i20000-222-2000000000000000
χ604-4-4444-4-400000000000000−2i22i22i2−2i200000000000000−2i22i200002-2-22000000000000000
χ614-4-4-44-444400-400-44000000000000000000000000000000000000000000000022−220
χ624-4-4-44-444400-400-440000000000000000000000000000000000000000000000−22220
χ634-4-4-44-444-4004004-40000000000000000004-400000000000000000000000000000
χ644-4-4-44-444-4004004-4000000000000000000-4400000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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