Finite Group Databasebeta

← Group #258447

Character table — Group #258447

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ7111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111
χ1211111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1
χ1311111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111
χ1411111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1
χ1511111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-111
χ1722222222222222-2-222-2-222-2-20000-2-22200-20000220000000000000000-2-2000000000000
χ1822222222222222-2-222-2-222-2-20000-2-2-2-200-20000-2-2000000000000000022000000000000
χ19222222222222-2-222-2-222-2-2222222-2-20022-2-2-2-2-200000000000000000000000000000000
χ20222222222222-2-222-2-222-2-222-2-2-2-2-2-200-2-2-2222200000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2000022000020000000000000000000000002-22-200000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-200002200002000000000000000000000000-22-2200000000
χ2322222222-2-2-2-222-2-222-2-2-2-2220000-2-2220020000-2-200000000000000002-2000000000000
χ2422222222-2-2-2-222-2-222-2-2-2-2220000-2-2-2-20020000220000000000000000-22000000000000
χ2522222222-2-2-2-2-2-222-2-22222-2-22222-2-200-2-22-2-22200000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-20022222-2-200000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222220000220000-20000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000220000-2000000000000000000000000-222-200000000
χ292-222-2-2-220000222-2-2-22-200002i2i−2i−2i-22000002i−2i000022-2-20000000000000000002i−2i000000
χ302-222-2-2-220000222-2-2-22-200002i2i−2i−2i-22000002i−2i0000-2-222000000000000000000−2i2i000000
χ312-222-2-2-220000222-2-2-22-20000−2i−2i2i2i-2200000−2i2i000022-2-2000000000000000000−2i2i000000
χ322-222-2-2-220000222-2-2-22-20000−2i−2i2i2i-2200000−2i2i0000-2-2220000000000000000002i−2i000000
χ332-222-2-2-220000-2-22-2222-200002i2i−2i−2i2-200000−2i2i000000002i2i−2i−2i00000000000000002-20000
χ342-222-2-2-220000-2-22-2222-200002i2i−2i−2i2-200000−2i2i00000000−2i−2i2i2i0000000000000000-220000
χ352-222-2-2-220000-2-22-2222-20000−2i−2i2i2i2-2000002i−2i000000002i2i−2i−2i0000000000000000-220000
χ362-222-2-2-220000-2-22-2222-20000−2i−2i2i2i2-2000002i−2i00000000−2i−2i2i2i00000000000000002-20000
χ372-22-2-222-22i2i−2i−2i2-2002-2002i−2i000000002-200000002i−2i2−22−2i2−i2i2−i222−2−2i2i2−i2−i200000000000000
χ382-22-2-222-22i2i−2i−2i2-2002-2002i−2i000000002-200000002i−2i−22−22−i2i2−i2i2−2−222−i2−i2i2i200000000000000
χ392-22-2-222-22i2i−2i−2i2-2002-2002i−2i00000000-220000000−2i2i2−22−2i2−i2i2−i2−2−222−i2−i2i2i200000000000000
χ402-22-2-222-22i2i−2i−2i2-2002-2002i−2i00000000-220000000−2i2i−22−22−i2i2−i2i222−2−2i2i2−i2−i200000000000000
χ412-22-2-222-2−2i−2i2i2i2-2002-200−2i2i000000002-20000000−2i2i2−22−2−i2i2−i2i222−2−2−i2−i2i2i200000000000000
χ422-22-2-222-2−2i−2i2i2i2-2002-200−2i2i000000002-20000000−2i2i−22−22i2−i2i2−i2−2−222i2i2−i2−i200000000000000
χ432-22-2-222-2−2i−2i2i2i2-2002-200−2i2i00000000-2200000002i−2i2−22−2−i2i2−i2i2−2−222i2i2−i2−i200000000000000
χ442-22-2-222-2−2i−2i2i2i2-2002-200−2i2i00000000-2200000002i−2i−22−22i2−i2i2−i222−2−2−i2−i2i2i200000000000000
χ452-2-2222-2-22i−2i2i−2i002-200-22002i−2i2i−2i2i−2i00002-2000000000000000i2−i2i2−i22−22−200000000002−2i2−i2
χ462-2-2222-2-22i−2i2i−2i002-200-22002i−2i2i−2i2i−2i00002-2000000000000000−i2i2−i2i2−22−220000000000−22−i2i2
χ472-2-2222-2-22i−2i2i−2i002-200-22002i−2i−2i2i−2i2i0000-22000000000000000i2−i2i2−i22−22−20000000000−22−i2i2
χ482-2-2222-2-22i−2i2i−2i002-200-22002i−2i−2i2i−2i2i0000-22000000000000000−i2i2−i2i2−22−2200000000002−2i2−i2
χ492-2-2222-2-2−2i2i−2i2i002-200-2200−2i2i2i−2i2i−2i0000-22000000000000000i2−i2i2−i2−22−2200000000002−2−i2i2
χ502-2-2222-2-2−2i2i−2i2i002-200-2200−2i2i2i−2i2i−2i0000-22000000000000000−i2i2−i2i22−22−20000000000−22i2−i2
χ512-2-2222-2-2−2i2i−2i2i002-200-2200−2i2i−2i2i−2i2i00002-2000000000000000i2−i2i2−i2−22−220000000000−22i2−i2
χ522-2-2222-2-2−2i2i−2i2i002-200-2200−2i2i−2i2i−2i2i00002-2000000000000000−i2i2−i2i22−22−200000000002−2−i2i2
χ53444-44-4-4-400004-400-440000000000000000000000022−22−222200000000000000000000000000
χ54444-44-4-4-400004-400-4400000000000000000000000−222222−2200000000000000000000000000
χ55444-44-4-4-40000-44004-400000000000000000000000000022−22−22220000000000000000000000
χ56444-44-4-4-40000-44004-4000000000000000000000000000−222222−220000000000000000000000
χ5744-44-4-44-40000004400-4-400004-4-440000000000000000000000000000000000000000000
χ5844-44-4-44-40000004400-4-40000-444-40000000000000000000000000000000000000000000
χ5944-44-4-44-4000000-4-40044000000000000000004i−4i00000000000000000000000000000000
χ6044-44-4-44-4000000-4-4004400000000000000000−4i4i00000000000000000000000000000000
χ6144-4-4-44-444-4-4400000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ6244-4-4-44-444-4-440000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ6344-4-4-44-44-444-400000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ6444-4-4-44-44-444-40000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ654-444-4-4-44000044-44-4-4-44000000004-400000000000000000000000000000000000000000
χ664-444-4-4-440000-4-4-4444-4400000000-4400000000000000000000000000000000000000000
χ674-44-4-444-44i4i−4i−4i-4400-4400−4i4i0000000000000000000000000000000000000000000000000
χ684-44-4-444-4−4i−4i4i4i-4400-44004i−4i0000000000000000000000000000000000000000000000000
χ694-4-4444-4-44i−4i4i−4i00-44004-400−4i4i00000000000000000000000000000000000000000000000
χ704-4-4444-4-4−4i4i−4i4i00-44004-4004i−4i00000000000000000000000000000000000000000000000
χ718-8-8-88-888000000000000000000000000000000000000000000000000000000000000000

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