Finite Group Databasebeta

← Group #274263

Character table — Group #274263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ1011111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1111-1
χ1111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111111-1
χ1211111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-1-11
χ1311111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11-1
χ1411111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-11
χ1511111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-11
χ1611111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-11-1
χ172222222222222-2-222-2-22-2-2-2-22222-2-222-2-2-2000000000000000000000000000000
χ182222222222222-2-222-2-22-2-2-2-222-2-222-2-222-2000000000000000000000000000000
χ19222222222222-222-2-222-222-2-2-2-200000000-222220000-2-2-2-2000000000000000000
χ20222222222222-222-2-222-222-2-2-2-200000000-2-2-2-2-200002222000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-200000000200000000000000000000002i−2i2i−2i0000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-20000000020000000000000000000000−2i2i−2i2i0000
χ2322222222-2-2-2-22-2-222-2-2222-2-2-2-222-2-2-2-2222000000000000000000000000000000
χ2422222222-2-2-2-22-2-222-2-2222-2-2-2-2-2-22222-2-22000000000000000000000000000000
χ2522222222-2-2-2-2-222-2-222-2-2-2-2-22200000000222-2-20000-2-222000000000000000000
χ2622222222-2-2-2-2-222-2-222-2-2-2-2-222000000002-2-222000022-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-20000000000000000000000−2i2i2i−2i0000
χ292-2222-2-2-222-2-20-2-2002202-200000000000000000i2i2−i2−i22-22-2i2i2−i2−i20000i2−i20000i2−i200
χ302-2222-2-2-222-2-20-2-2002202-200000000000000000i2i2−i2−i2-22-22i2i2−i2−i20000−i2i20000−i2i200
χ312-2222-2-2-222-2-20-2-2002202-200000000000000000−i2−i2i2i22-22-2−i2−i2i2i20000−i2i20000−i2i200
χ322-2222-2-2-222-2-20-2-2002202-200000000000000000−i2−i2i2i2-22-22−i2−i2i2i20000i2−i20000i2−i200
χ332-2222-2-2-2-2-2220-2-200220-2200000000000000000i2i2−i2−i22-2-22−i2−i2i2i20000i2−i20000−i2i200
χ342-2222-2-2-2-2-2220-2-200220-2200000000000000000i2i2−i2−i2-222-2−i2−i2i2i20000−i2i20000i2−i200
χ352-2222-2-2-2-2-2220-2-200220-2200000000000000000−i2−i2i2i22-2-22i2i2−i2−i20000−i2i20000i2−i200
χ362-2222-2-2-2-2-2220-2-200220-2200000000000000000−i2−i2i2i2-222-2i2i2−i2−i20000i2−i20000−i2i200
χ372-22-2-2-222000022-22-22-2-2002-20000002i−2i2i−2i00000000000002i−2i2i−2i2-2000000000000
χ382-22-2-2-222000022-22-22-2-2002-20000002i−2i2i−2i0000000000000−2i2i−2i2i-22000000000000
χ392-22-2-2-222000022-22-22-2-2002-2000000−2i2i−2i2i00000000000002i−2i2i−2i-22000000000000
χ402-22-2-2-222000022-22-22-2-2002-2000000−2i2i−2i2i0000000000000−2i2i−2i2i2-2000000000000
χ412-22-2-2-22200002-222-2-22-200-220000002i−2i−2i2i000002i−2i2i−2i00000000002-20000000000
χ422-22-2-2-22200002-222-2-22-200-220000002i−2i−2i2i00000−2i2i−2i2i0000000000-220000000000
χ432-22-2-2-22200002-222-2-22-200-22000000−2i2i2i−2i000002i−2i2i−2i0000000000-220000000000
χ442-22-2-2-22200002-222-2-22-200-22000000−2i2i2i−2i00000−2i2i−2i2i00000000002-20000000000
χ45444-4-44-4-4000004-400-440000000000000000000022−22−22220000000000000000000000
χ46444-4-44-4-4000004-400-4400000000000000000000−222222−220000000000000000000000
χ47444-4-44-4-400000-44004-4000000000000000000000000000022−22−222200000000000000
χ48444-4-44-4-400000-44004-40000000000000000000000000000−222222−2200000000000000
χ4944-44-4-4-444i−4i4i−4i400-4-400400004i−4i000000000000000000000000000000000000000
χ5044-44-4-4-444i−4i4i−4i-4004400-40000−4i4i000000000000000000000000000000000000000
χ5144-44-4-4-44−4i4i−4i4i400-4-40040000−4i4i000000000000000000000000000000000000000
χ5244-44-4-4-44−4i4i−4i4i-4004400-400004i−4i000000000000000000000000000000000000000
χ534-4444-4-4-444-4-404400-4-40-440000000000000000000000000000000000000000000
χ544-4444-4-4-4-4-44404400-4-404-40000000000000000000000000000000000000000000
χ554-44-4-4-4440000-44-4-444-4400-4400000000000000000000000000000000000000000
χ564-44-4-4-4440000-4-44-44-444004-400000000000000000000000000000000000000000
χ574-4-44-444-44i−4i−4i4i000000000000000000000002i2−2i222−2200000000000000000000000000
χ584-4-44-444-44i−4i−4i4i00000000000000000000000−2i22i2−222200000000000000000000000000
χ594-4-44-444-4−4i4i4i−4i000000000000000000000002i2−2i2−222200000000000000000000000000
χ604-4-44-444-4−4i4i4i−4i00000000000000000000000−2i22i222−2200000000000000000000000000
χ614-4-4-444-440000400-4400-40000004i−4i0000000000000000000000000000000000000
χ624-4-4-444-440000400-4400-4000000−4i4i0000000000000000000000000000000000000
χ634-4-4-444-440000-4004-4004000000004-400000000000000000000000000000000000
χ644-4-4-444-440000-4004-400400000000-4400000000000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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