Finite Group Databasebeta

← Group #283206

Character table — Group #283206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-1-11111-1
χ172222222222-22-2-2-22-20000-222222222-2-200000000-2-20000000000-2000000000000
χ182222222222-22-2-2-22-20000-22222-2-2-2-22200000000-2-200000000002000000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-222-2-2-2-2000000002200000000002000000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-2-2-2222200000000220000000000-2000000000000
χ2122222222-2-22-2222-2-22222-2000000000022-2-222-2-2000000000000000-2000000000
χ2222222222-2-22-2222-2-22222-20000000000-2-2-2-2-2-2220000000000000002000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200000000002222-2-222000000000000000-2000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-20000000000-2-22222-2-20000000000000002000000000
χ2522-2-2-2-22200202-2-2002i2i−2i−2i022−2−20000002i−2i002-2002−2i2i2−i2−i222−2−2000000000000i2−i20
χ2622-2-2-2-22200202-2-2002i2i−2i−2i022−2−2000000−2i2i00-22002−2i2i2−i2−i2−2−222000000000000−i2i20
χ2722-2-2-2-22200202-2-2002i2i−2i−2i0−2−2220000002i−2i002-200−22−i2−i2i2i2−2−222000000000000−i2i20
χ2822-2-2-2-22200202-2-2002i2i−2i−2i0−2−222000000−2i2i00-2200−22−i2−i2i2i222−2−2000000000000i2−i20
χ2922-2-2-2-22200202-2-200−2i−2i2i2i022−2−20000002i−2i00-22002−2−i2−i2i2i2−2−222000000000000i2−i20
χ3022-2-2-2-22200202-2-200−2i−2i2i2i022−2−2000000−2i2i002-2002−2−i2−i2i2i222−2−2000000000000−i2i20
χ3122-2-2-2-22200202-2-200−2i−2i2i2i0−2−2220000002i−2i00-2200−22i2i2−i2−i222−2−2000000000000−i2i20
χ3222-2-2-2-22200202-2-200−2i−2i2i2i0−2−222000000−2i2i002-200−22i2i2−i2−i2−2−222000000000000i2−i20
χ332-2-22-22-22222-2-2-22-222-22-2-200002i−2i002i−2i002-2000000000000000002i−2i0000000000
χ342-2-22-22-22222-2-2-22-222-22-2-20000−2i2i00−2i2i002-200000000000000000−2i2i0000000000
χ352-2-22-22-22222-2-2-22-22-22-22-200002i−2i002i−2i00-2200000000000000000−2i2i0000000000
χ362-2-22-22-22222-2-2-22-22-22-22-20000−2i2i00−2i2i00-22000000000000000002i−2i0000000000
χ372-2-22-22-2222-2-222-2-2-20000200002i−2i00−2i2i00000000002i−2i2i−2i00000000002-20000000
χ382-2-22-22-2222-2-222-2-2-20000200002i−2i00−2i2i0000000000−2i2i−2i2i0000000000-220000000
χ392-2-22-22-2222-2-222-2-2-2000020000−2i2i002i−2i00000000002i−2i2i−2i0000000000-220000000
χ402-2-22-22-2222-2-222-2-2-2000020000−2i2i002i−2i0000000000−2i2i−2i2i00000000002-20000000
χ412-2-22-22-22-2-222-2-222-22-22-22000000000000-22000000000000002-20000002-200000
χ422-2-22-22-22-2-222-2-222-22-22-22000000000000-2200000000000000-22000000-2200000
χ432-2-22-22-22-2-222-2-222-2-22-2220000000000002-2000000000000002-2000000-2200000
χ442-2-22-22-22-2-222-2-222-2-22-2220000000000002-200000000000000-220000002-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-44-404000-40000004-44-4000000000000000000000000000000000000000
χ474444-4-4-4-44-404000-4000000-44-44000000000000000000000000000000000000000
χ484444-4-4-4-4-440-400040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ494444-4-4-4-4-440-40004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-4-444-4-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ5144-4-444-4-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ5244-4-444-4-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ5344-4-444-4-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ5444-4-4-4-44400-40-44400000002222−22−2200000000000000−222200000000000000000000000
χ5544-4-4-4-44400-40-4440000000−22−2222220000000000000022−2200000000000000000000000
χ564-44-44-4-440040-44-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ574-44-44-4-440040-44-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ584-44-44-4-4400-404-4400000000000000000000000000022−22−22220000000000000000000
χ594-44-44-4-4400-404-44000000000000000000000000000−222222−220000000000000000000
χ604-4-444-44-44-40-400040000000000004-400000000000000000000000000000000000
χ614-4-444-44-44-40-40004000000000000-4400000000000000000000000000000000000
χ624-4-444-44-4-4404000-4000000000000000000000000000000000000000000002i2−2i2000
χ634-4-444-44-4-4404000-400000000000000000000000000000000000000000000−2i22i2000
χ644-4-44-44-44-4-4-4444-4440000-40000000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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