Finite Group Databasebeta

← Group #252595

Character table — Group #252595

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444224444444444444444444888888888888888822224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-11-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ7111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ8111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1
χ91111111111111-1-1-1-1111-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-1
χ101111111111111-1-1-1-1111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-111-1-111
χ111111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-111
χ121111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-111
χ141111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1111-111-1-111-1-1
χ151111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-11-1-11111-1-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-11-1-1-1-1-1-111
χ172222222222-2-2-2222222-2-2-2220000-2-200-20022220000000000000000000000-2-200000000
χ182222222222-2-2-2222222-2-2-2220000-2-200-200-2-2-2-200000000000000000000002200000000
χ192222222222-2-2-2-2-2-2-222-222-2-20000-2-20020022-2-20000000000000000000000-2200000000
χ202222222222-2-2-2-2-2-2-222-222-2-20000-2-200200-2-22200000000000000000000002-200000000
χ2122222222-2-22222222-2-2222-2-22222-2-2-2-2-2220000-2-2000000000000000000000000000000
χ2222222222-2-22222222-2-2222-2-2-2-2-2-2-2-222-2-2-2000022000000000000000000000000000000
χ2322222222-2-2222-2-2-2-2-2-22-2-2222222-2-2-2-22-2-2000022000000000000000000000000000000
χ2422222222-2-2222-2-2-2-2-2-22-2-222-2-2-2-2-2-2222220000-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-20000220020000000000000000000000002-200002-2000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-2000022002000000000000000000000000-220000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200002200-20000000000000000000000002-20000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222200002200-2000000000000000000000000-2200002-2000000
χ292222-2-2-2-22-20002i2i−2i−2i2-20002i−2i000000000002-22i−2i0022−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000000000
χ302222-2-2-2-22-20002i2i−2i−2i2-20002i−2i000000000002-22i−2i00−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000000000
χ312222-2-2-2-22-20002i2i−2i−2i2-20002i−2i00000000000-22−2i2i0022−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000000000
χ322222-2-2-2-22-20002i2i−2i−2i2-20002i−2i00000000000-22−2i2i00−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000000000
χ332222-2-2-2-22-2000−2i−2i2i2i2-2000−2i2i000000000002-2−2i2i0022−2−2−i2−i2i2i222−2−2−i2−i2i2i200000000000000
χ342222-2-2-2-22-2000−2i−2i2i2i2-2000−2i2i000000000002-2−2i2i00−2−222i2i2−i2−i2−2−222i2i2−i2−i200000000000000
χ352222-2-2-2-22-2000−2i−2i2i2i2-2000−2i2i00000000000-222i−2i0022−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000000000
χ362222-2-2-2-22-2000−2i−2i2i2i2-2000−2i2i00000000000-222i−2i00−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000000000
χ3722-2-2-2-2220022-22-22-200-22-2002i2i−2i−2i000002i−2i000000000000002−22−22−22−20000000000i2−i2i2−i2
χ3822-2-2-2-2220022-22-22-200-22-2002i2i−2i−2i000002i−2i00000000000000−22−22−22−220000000000−i2i2−i2i2
χ3922-2-2-2-2220022-22-22-200-22-200−2i−2i2i2i00000−2i2i000000000000002−22−22−22−20000000000−i2i2−i2i2
χ4022-2-2-2-2220022-22-22-200-22-200−2i−2i2i2i00000−2i2i00000000000000−22−22−22−220000000000i2−i2i2−i2
χ4122-2-2-2-2220022-2-22-2200-2-22002i2i−2i−2i00000−2i2i000000000000002−22−2−22−220000000000i2−i2−i2i2
χ4222-2-2-2-2220022-2-22-2200-2-22002i2i−2i−2i00000−2i2i00000000000000−22−222−22−20000000000−i2i2i2−i2
χ4322-2-2-2-2220022-2-22-2200-2-2200−2i−2i2i2i000002i−2i000000000000002−22−2−22−220000000000−i2i2i2−i2
χ4422-2-2-2-2220022-2-22-2200-2-2200−2i−2i2i2i000002i−2i00000000000000−22−222−22−20000000000i2−i2−i2i2
χ452-22-22-22-22-22-220000-22-200002i−2i2i−2i2-22i−2i0000000002i−2i2i−2i000000000000002-20000000000
χ462-22-22-22-22-22-220000-22-200002i−2i2i−2i2-22i−2i000000000−2i2i−2i2i00000000000000-220000000000
χ472-22-22-22-22-22-220000-22-20000−2i2i−2i2i2-2−2i2i0000000002i−2i2i−2i00000000000000-220000000000
χ482-22-22-22-22-22-220000-22-20000−2i2i−2i2i2-2−2i2i000000000−2i2i−2i2i000000000000002-20000000000
χ492-22-22-22-2-222-2200002-2-200002i−2i2i−2i-22−2i2i00000000000002i−2i2i−2i00000000000000002-20000
χ502-22-22-22-2-222-2200002-2-200002i−2i2i−2i-22−2i2i0000000000000−2i2i−2i2i0000000000000000-220000
χ512-22-22-22-2-222-2200002-2-20000−2i2i−2i2i-222i−2i00000000000002i−2i2i−2i0000000000000000-220000
χ522-22-22-22-2-222-2200002-2-20000−2i2i−2i2i-222i−2i0000000000000−2i2i−2i2i00000000000000002-20000
χ534444-4-4-4-4-440004i4i−4i−4i-44000−4i4i00000000000000000000000000000000000000000000000
χ544444-4-4-4-4-44000−4i−4i4i4i-440004i−4i00000000000000000000000000000000000000000000000
χ5544-4-444-4-4000004i−4i−4i4i000000000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ5644-4-444-4-4000004i−4i−4i4i00000000000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ5744-4-444-4-400000−4i4i4i−4i000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ5844-4-444-4-400000−4i4i4i−4i00000000000000000000000000000000-222-22i−2i−2i2i00000000000000
χ5944-4-4-4-44400-4-444-44-4004-440000000000000000000000000000000000000000000000000
χ6044-4-4-4-44400-4-44-44-440044-40000000000000000000000000000000000000000000000000
χ614-44-44-44-44-4-44-40000-44400000000-4400000000000000000000000000000000000000000
χ624-44-44-44-4-44-44-400004-44000000004-400000000000000000000000000000000000000000
χ634-44-4-44-44440000000-4-400000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ644-44-4-44-44440000000-4-40000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ654-44-4-44-44-4-40000000440000000000000000000000000022−22−22220000000000000000000000
χ664-44-4-44-44-4-400000004400000000000000000000000000−222222−220000000000000000000000
χ674-4-44-444-4004-4-4000000400004-4-440000000000000000000000000000000000000000000
χ684-4-44-444-4004-4-400000040000-444-40000000000000000000000000000000000000000000
χ694-4-44-444-400-444000000-400000000000000000004i−4i000000000000000000000000000000
χ704-4-44-444-400-444000000-40000000000000000000−4i4i000000000000000000000000000000
χ718-8-888-8-88000000000000000000000000000000000000000000000000000000000000000

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