Finite Group Databasebeta

← Group #276393

Character table — Group #276393

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888844444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1722222222222222-22-2-2-22-2-2222222-2-2-2-2-2-200000000-222-2-2000000000000000000000000000000
χ1822222222222222-22-2-2-22-2-222-2-2-2-22222-2-200000000-2-2-222000000000000000000000000000000
χ19222222222222-2-22-2222-2-2-2-2-2000000002222222222-20000-2-2-2-200000000000000000000000000
χ20222222222222-2-22-2222-2-2-2-2-20000000022-2-2-2-2-2-2-2-2-20000222200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-200000000-2-20000000020000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-200000000-2-2000000002000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2322222222-2-2-2-222-22-2-2-22-2-2-2-22222-2-2-2-222000000002-2-222000000000000000000000000000000
χ2422222222-2-2-2-222-22-2-2-22-2-2-2-2-2-2-2-222222200000000222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-22-2222-2-2-22200000000-2-22222-2-2-2-220000-2-22200000000000000000000000000
χ2622222222-2-2-2-2-2-22-2222-2-2-22200000000-2-2-2-2-2-222222000022-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222000000002200000000-20000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222000000002200000000-2000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-2-2-2-222-2-2220-2000-2002-2000022-2-20022−2−222−2−20002-22−22−200002−22−22−22−200000000000000
χ302222-2-2-2-222-2-2220-2000-2002-2000022-2-200−2−222−2−2220002-2−22−220000−22−22−22−2200000000000000
χ312222-2-2-2-222-2-2220-2000-2002-20000-2-2220022−2−222−2−2000-222−22−20000−22−22−22−2200000000000000
χ322222-2-2-2-222-2-2220-2000-2002-20000-2-22200−2−222−2−222000-22−22−2200002−22−22−22−200000000000000
χ332222-2-2-2-222-2-2-2-202000200-222i2i−2i−2i00000022−2−222−2−202i−2i00−22−220000i2−i2−i2i2i2−i2−i2i200000000000000
χ342222-2-2-2-222-2-2-2-202000200-222i2i−2i−2i000000−2−222−2−22202i−2i002−22−20000−i2i2i2−i2−i2i2i2−i200000000000000
χ352222-2-2-2-222-2-2-2-202000200-22−2i−2i2i2i00000022−2−222−2−20−2i2i00−22−220000−i2i2i2−i2−i2i2i2−i200000000000000
χ362222-2-2-2-222-2-2-2-202000200-22−2i−2i2i2i000000−2−222−2−2220−2i2i002−22−20000i2−i2−i2i2i2−i2−i2i200000000000000
χ372222-2-2-2-2-2-222220-2000-200-22000022-2-20022−2−2−2−222000-222−2−2200002−22−2−22−2200000000000000
χ382222-2-2-2-2-2-222220-2000-200-22000022-2-200−2−22222−2−2000-22−222−20000−22−222−22−200000000000000
χ392222-2-2-2-2-2-222220-2000-200-220000-2-2220022−2−2−2−2220002-22−2−220000−22−222−22−200000000000000
χ402222-2-2-2-2-2-222220-2000-200-220000-2-22200−2−22222−2−20002-2−222−200002−22−2−22−2200000000000000
χ412222-2-2-2-2-2-222-2-2020002002-22i2i−2i−2i00000022−2−2−2−2220−2i2i00−222−20000i2−i2−i2i2−i2i2i2−i200000000000000
χ422222-2-2-2-2-2-222-2-2020002002-22i2i−2i−2i000000−2−22222−2−20−2i2i002−2−220000−i2i2i2−i2i2−i2−i2i200000000000000
χ432222-2-2-2-2-2-222-2-2020002002-2−2i−2i2i2i00000022−2−2−2−22202i−2i00−222−20000−i2i2i2−i2i2−i2−i2i200000000000000
χ442222-2-2-2-2-2-222-2-2020002002-2−2i−2i2i2i000000−2−22222−2−202i−2i002−2−220000i2−i2−i2i2−i2i2i2−i200000000000000
χ4522-2-2-2-2222-22-200202-2-200000000000002-22-22-22-22-2000000000i2i2−i2−i200000000i2i2−i2−i20000i2−i2i2−i200
χ4622-2-2-2-2222-22-200202-2-200000000000002-22-22-22-22-2000000000−i2−i2i2i200000000−i2−i2i2i20000−i2i2−i2i200
χ4722-2-2-2-2222-22-200202-2-200000000000002-2-22-22-22-22000000000i2i2−i2−i200000000i2i2−i2−i20000−i2i2−i2i200
χ4822-2-2-2-2222-22-200202-2-200000000000002-2-22-22-22-22000000000−i2−i2i2i200000000−i2−i2i2i20000i2−i2i2−i200
χ4922-2-2-2-222-22-2200202-2-20000000000000-222-22-2-22-22000000000i2i2−i2−i200000000−i2−i2i2i20000i2−i2−i2i200
χ5022-2-2-2-222-22-2200202-2-20000000000000-222-22-2-22-22000000000−i2−i2i2i200000000i2i2−i2−i20000−i2i2i2−i200
χ5122-2-2-2-222-22-2200202-2-20000000000000-22-22-222-22-2000000000i2i2−i2−i200000000−i2−i2i2i20000−i2i2i2−i200
χ5222-2-2-2-222-22-2200202-2-20000000000000-22-22-222-22-2000000000−i2−i2i2i200000000i2i2−i2−i20000i2−i2−i2i200
χ532-22-22-22-200002-22-2-2-2222-2002i−2i2i−2i2i−2i2i−2i00000000000000000002i−2i2i−2i0000000000002-200000000
χ542-22-22-22-200002-22-2-2-2222-2002i−2i2i−2i2i−2i2i−2i0000000000000000000−2i2i−2i2i000000000000-2200000000
χ552-22-22-22-200002-22-2-2-2222-200−2i2i−2i2i−2i2i−2i2i00000000000000000002i−2i2i−2i000000000000-2200000000
χ562-22-22-22-200002-22-2-2-2222-200−2i2i−2i2i−2i2i−2i2i0000000000000000000−2i2i−2i2i0000000000002-200000000
χ572-22-22-22-200002-2-2-222-22-22002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000002-22-2002i−2i000000
χ582-22-22-22-200002-2-2-222-22-22002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000-22-2200−2i2i000000
χ592-22-22-22-200002-2-2-222-22-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000002-22-200−2i2i000000
χ602-22-22-22-200002-2-2-222-22-2200−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000-22-22002i−2i000000
χ6144-4-444-4-44-4-44000000000000000000000022−22−222222−22−222200000000000000000000000000000000000
χ6244-4-444-4-44-4-440000000000000000000000−222222−22−222222−2200000000000000000000000000000000000
χ6344-4-444-4-4-444-4000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000
χ6444-4-444-4-4-444-40000000000000000000000−222222−2222−22−222200000000000000000000000000000000000
χ6544-4-4-4-4444-44-400-40-4440000000000000-440000000000000000000000000000000000000000000
χ6644-4-4-4-444-44-4400-40-44400000000000004-40000000000000000000000000000000000000000000
χ674-44-44-44-40000-4444-4-44-4-440000000000000000000000000000000000000000000000000000000
χ684-44-44-44-40000-44-4444-4-44-40000000000000000000000000000000000000000000000000000000
χ694-44-4-44-4400004-404000-4000000004i−4i−4i4i000000000000000000000000000000000000000000000
χ704-44-4-44-4400004-404000-400000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ714-44-4-44-440000-440-4000400004-4-440000000000000000000000000000000000000000000000000
χ724-44-4-44-440000-440-400040000-444-40000000000000000000000000000000000000000000000000
χ734-4-44-444-400000040-44-40000000000000000000000000000000022−22−22220000000000000000000000
χ744-4-44-444-400000040-44-400000000000000000000000000000000−222222−220000000000000000000000
χ754-4-44-444-4000000-404-44000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ764-4-44-444-4000000-404-4400000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ778-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000000

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