Finite Group Databasebeta

← Group #449762

Character table — Group #449762

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222888888888888888888888888888888888888161616161616161616161616
order12222222222244444444222222444444444444444444444488888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ311111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1111111111111111111111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ1211111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ1722222222-2-2-2-222-22-2-2-22000022002200-2-200-2-20000000000000022-2-2000000000000
χ1822222222-2-2-2-222-22-2-2-2200002200-2-200-2-2002200000000000000-2-222000000000000
χ1922222222-2-2-2-222-22-2-2-220000-2-20022002200-2-200000000000000-2-222000000000000
χ2022222222-2-2-2-222-22-2-2-220000-2-200-2-2002200220000000000000022-2-2000000000000
χ2122222222-2-2-2-2-2-22-2222-200000022002200-2-200-2-20000000022-2-20000000000000000
χ2222222222-2-2-2-2-2-22-2222-20000002200-2-200-2-2002200000000-2-2220000000000000000
χ2322222222-2-2-2-2-2-22-2222-2000000-2-20022002200-2-200000000-2-2220000000000000000
χ2422222222-2-2-2-2-2-22-2222-2000000-2-200-2-2002200220000000022-2-20000000000000000
χ25222-2-2-22-222-2-2-2-2222-2-2222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ26222-2-2-22-222-2-2-2-2222-2-2222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ27222-2-2-22-222-2-2-2-2222-2-22-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ28222-2-2-22-222-2-2-2-2222-2-22-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ292-2-222-22-22-22-22-22-2-22-222-22-20000002i−2i0000002i−2i000000000000000000002i−2i000000
χ302-2-222-22-22-22-22-22-2-22-222-22-2000000−2i2i000000−2i2i00000000000000000000−2i2i000000
χ312-2-222-22-22-22-22-22-2-22-22-22-220000002i−2i0000002i−2i00000000000000000000−2i2i000000
χ322-2-222-22-22-22-22-22-2-22-22-22-22000000−2i2i000000−2i2i000000000000000000002i−2i000000
χ332-2-222-22-22-22-2-22-222-22-2000000002i−2i0000002i−2i002i−2i2i−2i000000000000000000002-200
χ342-2-222-22-22-22-2-22-222-22-2000000002i−2i0000002i−2i00−2i2i−2i2i00000000000000000000-2200
χ352-2-222-22-22-22-2-22-222-22-200000000−2i2i000000−2i2i002i−2i2i−2i00000000000000000000-2200
χ362-2-222-22-22-22-2-22-222-22-200000000−2i2i000000−2i2i00−2i2i−2i2i000000000000000000002-200
χ372-2-222-22-2-22-22-2222-22-2-2000000002i−2i2i−2i0000−2i2i−2i2i00000000000000002-20000000000
χ382-2-222-22-2-22-22-2222-22-2-2000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000-220000000000
χ392-2-222-22-2-22-22-2222-22-2-200000000−2i2i2i−2i00002i−2i−2i2i0000000000000000-220000000000
χ402-2-222-22-2-22-22-2222-22-2-200000000−2i2i−2i2i00002i−2i2i−2i00000000000000002-20000000000
χ412-2-2-2-22222-2-222-2-2222-2-20000002-20000002-200002-2-220000000000000000002-20000
χ422-2-2-2-22222-2-222-2-2222-2-20000002-20000002-20000-222-2000000000000000000-220000
χ432-2-2-2-22222-2-222-2-2222-2-2000000-22000000-2200002-2-22000000000000000000-220000
χ442-2-2-2-22222-2-222-2-2222-2-2000000-22000000-220000-222-20000000000000000002-20000
χ452-2-2-2-22222-2-22-222-2-2-2222-2-222-20000002-2000000000000000000000000000000002-2
χ462-2-2-2-22222-2-22-222-2-2-2222-2-22-22000000-2200000000000000000000000000000000-22
χ472-2-2-2-22222-2-22-222-2-2-222-222-22-20000002-200000000000000000000000000000000-22
χ482-2-2-2-22222-2-22-222-2-2-222-222-2-22000000-22000000000000000000000000000000002-2
χ492-2-2-2-2222-222-2-22-2-222-2200002-22-20000-22-2200000000000000000000002-200000000
χ502-2-2-2-2222-222-2-22-2-222-2200002-2-220000-222-20000000000000000000000-2200000000
χ512-2-2-2-2222-222-2-22-2-222-220000-222-200002-2-220000000000000000000000-2200000000
χ522-2-2-2-2222-222-2-22-2-222-220000-22-2200002-22-200000000000000000000002-200000000
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ54444-4-4-44-444-4-444-4-4-444-4000000000000000000000000000000000000000000000000
χ55444-4-4-44-4-4-444444-44-4-4-4000000000000000000000000000000000000000000000000
χ56444-4-4-44-4-4-444-4-4-44-4444000000000000000000000000000000000000000000000000
χ5744-44-4-4-440000000000000000000000000000000000002-22-2002i2−2i22i2−2i200000000000000
χ5844-44-4-4-440000000000000000000000000000000000002-22-200−2i22i2−2i22i200000000000000
χ5944-44-4-4-44000000000000000000000000000000000000-22-22002i2−2i2−2i22i200000000000000
χ6044-44-4-4-44000000000000000000000000000000000000-22-2200−2i22i22i2−2i200000000000000
χ6144-4-444-4-40000000000000000000000000000000000002i−2i−2i2i22−2200002i2−2i2000000000000
χ6244-4-444-4-40000000000000000000000000000000000002i−2i−2i2i−22220000−2i22i2000000000000
χ6344-4-444-4-4000000000000000000000000000000000000−2i2i2i−2i22−220000−2i22i2000000000000
χ6444-4-444-4-4000000000000000000000000000000000000−2i2i2i−2i−222200002i2−2i2000000000000
χ654-4-444-44-4-44-444-4-4-44-444000000000000000000000000000000000000000000000000
χ664-4-4-4-4444-444-44-444-4-44-4000000000000000000000000000000000000000000000000
χ678-888-88-8-8000000000000000000000000000000000000000000000000000000000000
χ688-88-88-8-88000000000000000000000000000000000000000000000000000000000000

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