Finite Group Databasebeta

← Group #114113

Character table — Group #114113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222222222222444444444422222222444444448888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii
χ12111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii
χ14111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i
χ15111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-200000000-2-222-2-2220000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-2-2-2220000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-22222-2-20000000000000000000000000000
χ2122222222-2-2-2-2222-2-2-22-22222-2-22-22-222-2-222-2-2000000000000000000000000000000000000
χ2222222222-2-2-2-2222-2-2-22-22222-2-22-22-2-2-222-2-222000000000000000000000000000000000000
χ2322222222-2-2-2-2222-2-2-22-2-2-2-2-222-22-22000000000000000000000000000000002-22-200000000
χ2422222222-2-2-2-2222-2-2-22-2-2-2-2-222-22-2200000000000000000000000000000000-22-2200000000
χ2522222222-2-2-2-2-2-2-2222-222222-2-2-22-2222-2-2-2-222000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-2-2222-222222-2-2-22-22-2-22222-2-2000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2222-22-2-2-2-2222-22-2000000000000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2222-22-2-2-2-2222-22-200000000000000000000000000000000-222-200000000
χ292222-2-2-2-222-2-222-22-2-2-22000000000000000000002i−2i002i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ302222-2-2-2-222-2-222-22-2-2-22000000000000000000002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ312222-2-2-2-222-2-222-22-2-2-2200000000000000000000−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ322222-2-2-2-222-2-222-22-2-2-2200000000000000000000−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ332222-2-2-2-222-2-2-2-22-2222-2000000000000000000002i−2i00−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ342222-2-2-2-222-2-2-2-22-2222-2000000000000000000002i−2i00−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ352222-2-2-2-222-2-2-2-22-2222-200000000000000000000−2i2i002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ362222-2-2-2-222-2-2-2-22-2222-200000000000000000000−2i2i002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ3722-2-222-2-22-22-22-22-22-2-220000000000000000002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ3822-2-222-2-22-22-22-22-22-2-220000000000000000002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ3922-2-222-2-22-22-22-22-22-2-22000000000000000000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ4022-2-222-2-22-22-22-22-22-2-22000000000000000000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ4122-2-222-2-22-22-2-22-22-222-20000000000000000002i−2i00−2i2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ4222-2-222-2-22-22-2-22-22-222-20000000000000000002i−2i00−2i2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ4322-2-222-2-22-22-2-22-22-222-2000000000000000000−2i2i002i−2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ4422-2-222-2-22-22-2-22-22-222-2000000000000000000−2i2i002i−2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ4522-2-2-2-2222-2-222-2-2-2-222222-2-22-22-2-220000000000000000000000002-2-222-2-22000000000000
χ4622-2-2-2-2222-2-222-2-2-2-222222-2-22-22-2-22000000000000000000000000-222-2-222-2000000000000
χ4722-2-2-2-2222-2-222-2-2-2-2222-2-222-22-222-200000000000000002-2-222-2-2200000000000000000000
χ4822-2-2-2-2222-2-222-2-2-2-2222-2-222-22-222-20000000000000000-222-2-222-200000000000000000000
χ4922-2-2-2-2222-2-22-22222-2-2-222-2-22-2-222-20000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ5022-2-2-2-2222-2-22-22222-2-2-222-2-22-2-222-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ5122-2-2-2-2222-2-22-22222-2-2-2-2-222-222-2-2200000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ5222-2-2-2-2222-2-22-22222-2-2-2-2-222-222-2-220000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ5322-2-2-2-222-222-22-2-222-22-222-2-2-2222-2-200000000000000000000000000000000000000002i−2i2i−2i
χ5422-2-2-2-222-222-22-2-222-22-222-2-2-2222-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ5522-2-2-2-222-222-22-2-222-22-2-2-2222-2-2-2220000000000000000000000000000000000002-22-20000
χ5622-2-2-2-222-222-22-2-222-22-2-2-2222-2-2-222000000000000000000000000000000000000-22-220000
χ5722-2-2-2-222-222-2-222-2-22-2222-2-2-22-2-22200000000000000000000000000000000000000002-2-22
χ5822-2-2-2-222-222-2-222-2-22-2222-2-2-22-2-2220000000000000000000000000000000000000000-222-2
χ5922-2-2-2-222-222-2-222-2-22-22-2-2222-222-2-20000000000000000000000000000000000002i−2i−2i2i0000
χ6022-2-2-2-222-222-2-222-2-22-22-2-2222-222-2-2000000000000000000000000000000000000−2i2i2i−2i0000
χ614444-4-4-4-4-4-44444-4-444-4-4000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-444-4-444-4-444000000000000000000000000000000000000000000000000000000
χ6344-4-444-4-4-44-444-444-44-4-4000000000000000000000000000000000000000000000000000000
χ6444-4-444-4-4-44-44-44-4-44-444000000000000000000000000000000000000000000000000000000
χ654-44-44-4-440000000000004-44-40000000000004-4000000000000000000000000000000000000
χ664-44-44-4-440000000000004-44-4000000000000-44000000000000000000000000000000000000
χ674-44-44-4-44000000000000-44-4400000000004-400000000000000000000000000000000000000
χ684-44-44-4-44000000000000-44-440000000000-4400000000000000000000000000000000000000
χ694-4-44-44-440000000000004-4-440000004-4000000000000000000000000000000000000000000
χ704-4-44-44-440000000000004-4-44000000-44000000000000000000000000000000000000000000
χ714-4-44-44-44000000000000-444-4000000004-40000000000000000000000000000000000000000
χ724-4-44-44-44000000000000-444-400000000-440000000000000000000000000000000000000000
χ738-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000
χ748-8-888-88-8000000000000000000000000000000000000000000000000000000000000000000

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