Finite Group Databasebeta

← Group #283162

Character table — Group #283162

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1
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
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111111-1-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11111111-1-111-1
χ17222222222-2-222-2-22-22222-2000000-2-200002222-2-2000000000000-2000000000000
χ18222222222-2-222-2-22-22222-2000000-2-20000-2-2-2-2220000000000002000000000000
χ19222222222-2-222-2-22-2-2-2-2-2-200000022000022-2-222000000000000-2000000000000
χ20222222222-2-222-2-22-2-2-2-2-2-2000000220000-2-222-2-20000000000002000000000000
χ2122222222-222-2-222-2-20000-222222200-2-222000000-2-20000000000000-2000000000
χ2222222222-222-2-222-2-20000-22222-2-20022-2-2000000-2-200000000000002000000000
χ2322222222-222-2-222-2-20000-2-2-2-2-22200-2-2-2-20000002200000000000002000000000
χ2422222222-222-2-222-2-20000-2-2-2-2-2-2-2002222000000220000000000000-2000000000
χ2522-22-2-22-2-2002-200202i2i−2i−2i022−2−2000000002-22i−2i002−2i2i2−i2−i2i2i2−i2−i2000000002−200000
χ2622-22-2-22-2-2002-200202i2i−2i−2i022−2−200000000-22−2i2i002−2i2i2−i2−i2−i2−i2i2i200000000−2200000
χ2722-22-2-22-2-2002-200202i2i−2i−2i0−2−222000000002-22i−2i00−22−i2−i2i2i2−i2−i2i2i200000000−2200000
χ2822-22-2-22-2-2002-200202i2i−2i−2i0−2−22200000000-22−2i2i00−22−i2−i2i2i2i2i2−i2−i2000000002−200000
χ2922-22-2-22-2-2002-20020−2i−2i2i2i022−2−2000000002-2−2i2i002−2−i2−i2i2i2−i2−i2i2i2000000002−200000
χ3022-22-2-22-2-2002-20020−2i−2i2i2i022−2−200000000-222i−2i002−2−i2−i2i2i2i2i2−i2−i200000000−2200000
χ3122-22-2-22-2-2002-20020−2i−2i2i2i0−2−222000000002-2−2i2i00−22i2i2−i2−i2i2i2−i2−i200000000−2200000
χ3222-22-2-22-2-2002-20020−2i−2i2i2i0−2−22200000000-222i−2i00−22i2i2−i2−i2−i2−i2i2i2000000002−200000
χ332-2-22-22-22222-2-2-2-2222-22-2-200002i−2i2-22i−2i0000000000000000000002i−2i0000000000
χ342-2-22-22-22222-2-2-2-2222-22-2-20000−2i2i2-2−2i2i000000000000000000000−2i2i0000000000
χ352-2-22-22-22222-2-2-2-222-22-22-200002i−2i-222i−2i000000000000000000000−2i2i0000000000
χ362-2-22-22-22222-2-2-2-222-22-22-20000−2i2i-22−2i2i0000000000000000000002i−2i0000000000
χ372-2-22-22-222-2-2-2-2222-22-22-22000000-22000000000000000000000000002-2002-2000
χ382-2-22-22-222-2-2-2-2222-22-22-22000000-2200000000000000000000000000-2200-22000
χ392-2-22-22-222-2-2-2-2222-2-22-2220000002-2000000000000000000000000002-200-22000
χ402-2-22-22-222-2-2-2-2222-2-22-2220000002-200000000000000000000000000-22002-2000
χ412-2-22-22-22-22222-2-2-2-20000200002i−2i00−2i2i00000000002i−2i2i−2i00002-20000000000000
χ422-2-22-22-22-22222-2-2-2-20000200002i−2i00−2i2i0000000000−2i2i−2i2i0000-220000000000000
χ432-2-22-22-22-22222-2-2-2-2000020000−2i2i002i−2i00000000002i−2i2i−2i0000-220000000000000
χ442-2-22-22-22-22222-2-2-2-2000020000−2i2i002i−2i0000000000−2i2i−2i2i00002-20000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-4404-4004-4000000000000000000000000000000000000000000000002i2−2i20
χ47444-4-4-4-4404-4004-400000000000000000000000000000000000000000000000−2i22i20
χ48444-4-4-4-440-4400-44000000000000000004i−4i0000000000000000000000000000000
χ49444-4-4-4-440-4400-4400000000000000000−4i4i0000000000000000000000000000000
χ5044-44-4-44-4400-4400-40000002222−22−2200000000000000−222200000000000000000000000
χ5144-44-4-44-4400-4400-4000000−22−2222220000000000000022−2200000000000000000000000
χ524-4444-4-4-44004-400-40000000000000000000000000022−22−22220000000000000000000
χ534-4444-4-4-44004-400-400000000000000000000000000−222222−220000000000000000000
χ544-4444-4-4-4-400-4400404i−4i−4i4i00000000000000000000000000000000000000000000
χ554-4444-4-4-4-400-440040−4i4i4i−4i00000000000000000000000000000000000000000000
χ564-44-4-444-40000000000000022−2222−220000000000002i2−2i20000002i−2i2i−2i000000000000000
χ574-44-4-444-40000000000000022−2222−22000000000000−2i22i2000000−2i2i−2i2i000000000000000
χ584-44-4-444-400000000000000−2222−22220000000000002i2−2i2000000−2i2i−2i2i000000000000000
χ594-44-4-444-400000000000000−2222−2222000000000000−2i22i20000002i−2i2i−2i000000000000000
χ604-4-44-44-44-4-4-44444-440000-40000000000000000000000000000000000000000000
χ614-4-4-44-44404-400-44000000000000000000000000000000022−22−2222000000000000000
χ624-4-4-44-44404-400-440000000000000000000000000000000−222222−22000000000000000
χ634-4-4-44-4440-44004-400000004-4-44000000000000000000000000000000000000000
χ644-4-4-44-4440-44004-40000000-444-4000000000000000000000000000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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