Finite Group Databasebeta

← Group #173941

Character table — Group #173941

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444224444444444488888888888888888888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ511111111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1
χ611111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
χ811111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-1-11-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-111-1
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-11-11
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-11
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-11-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1111-11
χ172222222222222222-2-2-2-2-222-2-2-200-200000022220000000000000000000000000-2000-200
χ182222222222222222-2-2-2-2-222-2-2-200-2000000-2-2-2-200000000000000000000000002000200
χ19222222222222-2-2-2-22222-2-2-222-200-20022220000000000000000000000000000-2000-2000
χ20222222222222-2-2-2-22222-2-2-222-200-200-2-2-2-2000000000000000000000000000020002000
χ21222222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-20000000000000000000000000000000000-220000
χ22222222222222-2-2-2-2-2-2-2-22-2-2-2-22-2-222200000000000000000000000000000000002-20000
χ2322222222-2-2-2-2222222222-2-2-2-2222-2220000000000000000000000000000000000-2-20000
χ2422222222-2-2-2-2222222222-2-2-2-22-2-2-2-2-20000000000000000000000000000000000220000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-222-20020022-2-20000000000000000000000000000-20002000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-222-200200-2-22200000000000000000000000000002000-2000
χ2722222222-2-2-2-2-2-2-2-22222-222-2-2-200200000022-2-200000000000000000000000002000-200
χ2822222222-2-2-2-2-2-2-2-22222-222-2-2-2002000000-2-2220000000000000000000000000-2000200
χ2922-22-2-22-22i2i−2i−2i00002i2i−2i−2i0002-20000002i−2i2-20000i2i2−i2−i222−2−20000000022−2−2i2i2−i2−i200000000
χ3022-22-2-22-22i2i−2i−2i00002i2i−2i−2i0002-20000002i−2i2-20000−i2−i2i2i2−2−22200000000−2−222−i2−i2i2i200000000
χ3122-22-2-22-22i2i−2i−2i00002i2i−2i−2i0002-2000000−2i2i-220000i2i2−i2−i222−2−200000000−2−222−i2−i2i2i200000000
χ3222-22-2-22-22i2i−2i−2i00002i2i−2i−2i0002-2000000−2i2i-220000−i2−i2i2i2−2−2220000000022−2−2i2i2−i2−i200000000
χ3322-22-2-22-2−2i−2i2i2i0000−2i−2i2i2i0002-20000002i−2i-220000i2i2−i2−i2−2−2220000000022−2−2−i2−i2i2i200000000
χ3422-22-2-22-2−2i−2i2i2i0000−2i−2i2i2i0002-20000002i−2i-220000−i2−i2i2i222−2−200000000−2−222i2i2−i2−i200000000
χ3522-22-2-22-2−2i−2i2i2i0000−2i−2i2i2i0002-2000000−2i2i2-20000i2i2−i2−i2−2−22200000000−2−222i2i2−i2−i200000000
χ3622-22-2-22-2−2i−2i2i2i0000−2i−2i2i2i0002-2000000−2i2i2-20000−i2−i2i2i222−2−20000000022−2−2−i2−i2i2i200000000
χ372-222-2-2-222i−2i2i−2i2i2i−2i−2i000002-20000000000002-22i−2i00000000i2i2−i2−i222−2−2i2−i2i2−i22−22−200000000
χ382-222-2-2-222i−2i2i−2i2i2i−2i−2i000002-20000000000002-22i−2i00000000−i2−i2i2i2−2−222−i2i2−i2i2−22−2200000000
χ392-222-2-2-222i−2i2i−2i2i2i−2i−2i000002-2000000000000-22−2i2i00000000i2i2−i2−i222−2−2−i2i2−i2i2−22−2200000000
χ402-222-2-2-222i−2i2i−2i2i2i−2i−2i000002-2000000000000-22−2i2i00000000−i2−i2i2i2−2−222i2−i2i2−i22−22−200000000
χ412-222-2-2-22−2i2i−2i2i−2i−2i2i2i000002-20000000000002-2−2i2i00000000i2i2−i2−i2−2−222i2−i2i2−i2−22−2200000000
χ422-222-2-2-22−2i2i−2i2i−2i−2i2i2i000002-20000000000002-2−2i2i00000000−i2−i2i2i222−2−2−i2i2−i2i22−22−200000000
χ432-222-2-2-22−2i2i−2i2i−2i−2i2i2i000002-2000000000000-222i−2i00000000i2i2−i2−i2−2−222−i2i2−i2i22−22−200000000
χ442-222-2-2-22−2i2i−2i2i−2i−2i2i2i000002-2000000000000-222i−2i00000000−i2−i2i2i222−2−2i2−i2i2−i2−22−2200000000
χ452-2-2-2-222200002-22-22-22-2-2000022-202-2000000002−22−22−22−22−22−22−22−20000000000000000
χ462-2-2-2-222200002-22-22-22-2-2000022-202-200000000−22−22−22−22−22−22−22−220000000000000000
χ472-2-2-2-222200002-22-22-22-2-200002-220-22000000002−22−22−22−2−22−22−22−220000000000000000
χ482-2-2-2-222200002-22-22-22-2-200002-220-2200000000−22−22−22−222−22−22−22−20000000000000000
χ492-2-2-2-22220000-22-22-22-22-2000022-20-22000000002−22−2−22−222−22−2−22−220000000000000000
χ502-2-2-2-22220000-22-22-22-22-2000022-20-2200000000−22−222−22−2−22−222−22−20000000000000000
χ512-2-2-2-22220000-22-22-22-22-200002-2202-2000000002−22−2−22−22−22−222−22−20000000000000000
χ522-2-2-2-22220000-22-22-22-22-200002-2202-200000000−22−222−22−22−22−2−22−220000000000000000
χ5344-44-4-44-44i4i−4i−4i0000−4i−4i4i4i000-440000000000000000000000000000000000000000000000
χ5444-44-4-44-4−4i−4i4i4i00004i4i−4i−4i000-440000000000000000000000000000000000000000000000
χ5544-4-44-4-4400004i−4i−4i4i00000000000000000000000000000002i−2i−2i2i2-2-220000000000000000
χ5644-4-44-4-4400004i−4i−4i4i0000000000000000000000000000000−2i2i2i−2i-222-20000000000000000
χ5744-4-44-4-440000−4i4i4i−4i00000000000000000000000000000002i−2i−2i2i-222-20000000000000000
χ5844-4-44-4-440000−4i4i4i−4i0000000000000000000000000000000−2i2i2i−2i2-2-220000000000000000
χ594-444-4-4-444i−4i4i−4i−4i−4i4i4i00000-44000000000000000000000000000000000000000000000000
χ604-444-4-4-44−4i4i−4i4i4i4i−4i−4i00000-44000000000000000000000000000000000000000000000000
χ614-44-44-44-4000000004i−4i−4i4i00000000000000000002i−2i−2i2i2-2-22000000000000000000000000
χ624-44-44-44-4000000004i−4i−4i4i0000000000000000000−2i2i2i−2i-222-2000000000000000000000000
χ634-44-44-44-400000000−4i4i4i−4i00000000000000000002i−2i−2i2i-222-2000000000000000000000000
χ644-44-44-44-400000000−4i4i4i−4i0000000000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ654-4-4444-4-44-4-4400000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ664-4-4444-4-44-4-440000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ674-4-4444-4-4-444-400000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ684-4-4444-4-4-444-40000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ694-4-4-4-444400004-44-4-44-4440000-4000000000000000000000000000000000000000000000
χ704-4-4-4-44440000-44-444-44-440000-4000000000000000000000000000000000000000000000
χ71888-8-88-8-8000000000000000000000000000000000000000000000000000000000000000

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