Finite Group Databasebeta

← Group #277149

Character table — Group #277149

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-11
χ12111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-11
χ14111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-1
χ15111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-11
χ172222222222222-2-222-22-222-2-2-2-22222-2-2-2-2-2000000000000000000000000000000
χ182222222222222-2-222-22-222-2-2-2-2-2-2-2-222-222000000000000000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-222-2-222-2-2222-2-2000000000000000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-222-2-2-2-222-2-2222000000000000000000000000000000
χ2122222222-2222222-2-22-22-2-222-2-2000000-200000000002222-2-2-2-200000000000000
χ2222222222-2222222-2-22-22-2-222-2-2000000-20000000000-2-2-2-2222200000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-2220000002000000000000000000000000002i−2i2i−2i00
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-222000000200000000000000000000000000−2i2i−2i2i00
χ2522222222-2-2-2-2-222-2-22-2222-2-2-2-20000002000000000022-2-2-2-22200000000000000
χ2622222222-2-2-2-2-222-2-22-2222-2-2-2-200000020000000000-2-22222-2-200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000000000000−2i2i2i−2i00
χ2922-2-2-22-22-20000222-2-22-200002-22-2000002-200002i2i−2i−2i00000000002i−2i0000000000
χ3022-2-2-22-22-20000222-2-22-200002-22-2000002-20000−2i−2i2i2i0000000000−2i2i0000000000
χ3122-2-2-22-22-20000222-2-22-200002-2-2200000-2200002i2i−2i−2i0000000000−2i2i0000000000
χ3222-2-2-22-22-20000222-2-22-200002-2-2200000-220000−2i−2i2i2i00000000002i−2i0000000000
χ3322-2-2-22-22-20000-2-22-22220000-222-200000-2222-2-20000000000002-2000000000000
χ3422-2-2-22-22-20000-2-22-22220000-222-200000-22-2-222000000000000-22000000000000
χ3522-2-2-22-22-20000-2-22-22220000-22-22000002-222-2-2000000000000-22000000000000
χ3622-2-2-22-22-20000-2-22-22220000-22-22000002-2-2-2220000000000002-2000000000000
χ372-2-222-2-22022-2-22-20020-2002-200000000000i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00002−22−2000000
χ382-2-222-2-22022-2-22-20020-2002-200000000000i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000−22−22000000
χ392-2-222-2-22022-2-22-20020-2002-200000000000−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i0000−22−22000000
χ402-2-222-2-22022-2-22-20020-2002-200000000000−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i00002−22−2000000
χ412-2-222-2-220-2-2222-20020-200-2200000000000i2−i2i2−i2−i2i2−i2i200002i−2i−2i2i00002−2−22000000
χ422-2-222-2-220-2-2222-20020-200-2200000000000i2−i2i2−i2−i2i2−i2i20000−2i2i2i−2i0000−222−2000000
χ432-2-222-2-220-2-2222-20020-200-2200000000000−i2i2−i2i2i2−i2i2−i200002i−2i−2i2i0000−222−2000000
χ442-2-222-2-220-2-2222-20020-200-2200000000000−i2i2−i2i2i2−i2i2−i20000−2i2i2i−2i00002−2−22000000
χ454444-4-4-4-444-44-400-4-40404-40000000000000000000000000000000000000000000
χ464444-4-4-4-44-44-4400-4-4040-440000000000000000000000000000000000000000000
χ474444-4-4-4-4-44-44-400440-40-440000000000000000000000000000000000000000000
χ484444-4-4-4-4-4-44-4400440-404-40000000000000000000000000000000000000000000
χ4944-4-44-44-440000004-40-4000000000004-4000000000000000000000000000000000
χ5044-4-44-44-440000004-40-400000000000-44000000000000000000000000000000000
χ5144-4-44-44-4-4000000-44040000000004i−4i00000000000000000000000000000000000
χ5244-4-44-44-4-4000000-4404000000000−4i4i00000000000000000000000000000000000
χ5344-4-4-44-444000044-44-4-4-40000-44000000000000000000000000000000000000000
χ5444-4-4-44-4440000-4-4-444-4400004-4000000000000000000000000000000000000000
χ554-44-4-4-444000004-400-404000000000000000000022−22−22220000000000000000000000
χ564-44-4-4-444000004-400-4040000000000000000000−222222−220000000000000000000000
χ574-44-4-4-44400000-440040-40000000000000002i2−2i2−2i22i200000000000000000000000000
χ584-44-4-4-44400000-440040-4000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-4-444-4-44044-4-4-4400-40400-4400000000000000000000000000000000000000000
χ604-4-444-4-440-4-444-4400-404004-400000000000000000000000000000000000000000
χ614-4-44-444-404-4-440000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ624-4-44-444-404-4-44000000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ634-4-44-444-40-444-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ644-4-44-444-40-444-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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