Finite Group Databasebeta

← Group #310624

Character table — Group #310624

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ31111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-111-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-111111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111111-1-11-1-111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111111-1-1-1-1-11111-1
χ172222222222-2-22-2-22-20000-2222200002222-2-200000000-2-2000000-2000000000000
χ182222222222-2-22-2-22-20000-222220000-2-2-2-22200000000-2-20000002000000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-2000022-2-2-2-200000000220000002000000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-20000-2-222220000000022000000-2000000000000
χ2122222222-2-222-222-2-22222-20000-2-22200000022-2-2000000000000000-2000000000
χ2222222222-2-222-222-2-22222-20000-2-2-2-2000000-2-2220000000000000002000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200002222000000-2-222000000000000000-2000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000022-2-200000022-2-20000000000000002000000000
χ2522-2-2-222-22-2222-2-2-2-22i2i−2i−2i200002i−2i002i−2i002i−2i000000000000002-20000000000000
χ2622-2-2-222-22-2222-2-2-2-22i2i−2i−2i200002i−2i00−2i2i00−2i2i00000000000000-220000000000000
χ2722-2-2-222-22-2222-2-2-2-2−2i−2i2i2i20000−2i2i002i−2i002i−2i00000000000000-220000000000000
χ2822-2-2-222-22-2222-2-2-2-2−2i−2i2i2i20000−2i2i00−2i2i00−2i2i000000000000002-20000000000000
χ2922-2-2-222-22-2-2-2222-220000-2000000002i−2i00−2i2i000022-2-20000000000002i−2i0000000
χ3022-2-2-222-22-2-2-2222-220000-2000000002i−2i00−2i2i0000-2-222000000000000−2i2i0000000
χ3122-2-2-222-22-2-2-2222-220000-200000000−2i2i002i−2i000022-2-2000000000000−2i2i0000000
χ3222-2-2-222-22-2-2-2222-220000-200000000−2i2i002i−2i0000-2-2220000000000002i−2i0000000
χ3322-2-2-222-2-2222-2-2-2222i2i−2i−2i-20000−2i2i00000000000000000000000002-20002i−2i00000
χ3422-2-2-222-2-2222-2-2-2222i2i−2i−2i-20000−2i2i0000000000000000000000000-22000−2i2i00000
χ3522-2-2-222-2-2222-2-2-222−2i−2i2i2i-200002i−2i00000000000000000000000002-2000−2i2i00000
χ3622-2-2-222-2-2222-2-2-222−2i−2i2i2i-200002i−2i0000000000000000000000000-220002i−2i00000
χ372-222-2-22-2002-202-2002i−2i2i−2i0i2i2−i2−i2002-20000002i−2i002−22−2i2−i222−2−2000000000000i2−i20
χ382-222-2-22-2002-202-2002i−2i2i−2i0i2i2−i2−i200-22000000−2i2i002−22−2i2−i2−2−222000000000000−i2i20
χ392-222-2-22-2002-202-2002i−2i2i−2i0−i2−i2i2i2002-20000002i−2i00−22−22−i2i2−2−222000000000000−i2i20
χ402-222-2-22-2002-202-2002i−2i2i−2i0−i2−i2i2i200-22000000−2i2i00−22−22−i2i222−2−2000000000000i2−i20
χ412-222-2-22-2002-202-200−2i2i−2i2i0i2i2−i2−i2002-2000000−2i2i00−22−22i2−i2−2−222000000000000i2−i20
χ422-222-2-22-2002-202-200−2i2i−2i2i0i2i2−i2−i200-220000002i−2i00−22−22i2−i222−2−2000000000000−i2i20
χ432-222-2-22-2002-202-200−2i2i−2i2i0−i2−i2i2i2002-2000000−2i2i002−22−2−i2i222−2−2000000000000−i2i20
χ442-222-2-22-2002-202-200−2i2i−2i2i0−i2−i2i2i200-220000002i−2i002−22−2−i2i2−2−222000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-440000000000000022−2222−220000000000002i2−2i20000002i−2i2i−2i000000000000000
χ47444-4-4-4-440000000000000022−2222−22000000000000−2i22i2000000−2i2i−2i2i000000000000000
χ48444-4-4-4-4400000000000000−2222−22220000000000002i2−2i2000000−2i2i−2i2i000000000000000
χ49444-4-4-4-4400000000000000−2222−2222000000000000−2i22i20000002i−2i2i−2i000000000000000
χ5044-4-4-444-4-44-4-4-4444-4000040000000000000000000000000000000000000000000
χ514-444-4-44-400-440-4400000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ524-444-4-44-400-440-440000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ534-44-444-4-44-400-40040000004i−4i−4i4i000000000000000000000000000000000000000
χ544-44-444-4-44-400-4004000000−4i4i4i−4i000000000000000000000000000000000000000
χ554-44-444-4-4-4400400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-44-444-4-4-4400400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-44-44-444400-400-400000000000000004i−4i0000000000000000000000000000000
χ584-4-44-44-444400-400-40000000000000000−4i4i0000000000000000000000000000000
χ594-4-44-44-44-4-40040040000000000000000000000000000000000000000000022−22000
χ604-4-44-44-44-4-400400400000000000000000000000000000000000000000000−2222000
χ614-4-4-44-444004-40-44004-4-4400000000000000000000000000000000000000000000
χ624-4-4-44-444004-40-4400-444-400000000000000000000000000000000000000000000
χ634-4-4-44-44400-4404-4000000000000000000000000022−22−2222000000000000000000000
χ644-4-4-44-44400-4404-40000000000000000000000000−222222−22000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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