Finite Group Databasebeta

← Group #276378

Character table — Group #276378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888844444448888888888444444888888888824
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ91111111111111111-1-1111111-1-11111-111-1-1-1-11111-111-1-1-1-1-111-1-111-1-1-11
χ101111111111111111-1-1111111-1-11111-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ121111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-11-1
χ131111111111111111-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1111-1
χ141111111111111111-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-111-11
χ1722222222222-2-2-2-2222-2-200002-222-2-2-20000000000200-200000000000000
χ1822222222222-2-2-2-2222-2-200002-2-2-222-20000000000-200200000000000000
χ1922222222222-2-2-2-22-2-2-2-20000-2222-2-220000000000-200200000000000000
χ2022222222222-2-2-2-22-2-2-2-20000-22-2-22220000000000200-200000000000000
χ2122222222-2-2-22222-222-2-22222-220000-2-2-222-2-20000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2-220000-222-2-2220000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-222222-200002-2-2-2-2220000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-22-2000022222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2-2000020000002i2i−2i−2i0000002i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-222220000-2-200002000000−2i−2i2i2i000000−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2220000220000-20000002i2i−2i−2i000000−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2220000220000-2000000−2i−2i2i2i0000002i−2i0000000000
χ292-22-2-22-2222-222-2-2-2002-20000002i−2i2i−2i0000000000000002-200002i−2i000000
χ302-22-2-22-2222-222-2-2-2002-20000002i−2i2i−2i000000000000000-220000−2i2i000000
χ312-22-2-22-2222-222-2-2-2002-2000000−2i2i−2i2i0000000000000002-20000−2i2i000000
χ322-22-2-22-2222-222-2-2-2002-2000000−2i2i−2i2i000000000000000-2200002i−2i000000
χ332-22-2-22-2222-2-2-222-200-220000002i−2i−2i2i0000000000002i−2i000002-200000000
χ342-22-2-22-2222-2-2-222-200-220000002i−2i−2i2i000000000000−2i2i00000-2200000000
χ352-22-2-22-2222-2-2-222-200-22000000−2i2i2i−2i0000000000002i−2i00000-2200000000
χ362-22-2-22-2222-2-2-222-200-22000000−2i2i2i−2i000000000000−2i2i000002-200000000
χ374444-4-4-4-44-440000-400000000000000000000022−2222−22000000000000000000
χ384444-4-4-4-44-440000-4000000000000000000000−2222−2222000000000000000000
χ394444-4-4-4-4-44-4000040000000000000000000002i2−2i2−2i22i2000000000000000000
χ404444-4-4-4-4-44-400004000000000000000000000−2i22i22i2−2i2000000000000000000
χ4144-4-44-4-44000000004i−4i002222−22−220000000002i2−2i2000000000000000000000000
χ4244-4-44-4-44000000004i−4i00−22−222222000000000−2i22i2000000000000000000000000
χ4344-4-44-4-4400000000−4i4i002222−22−22000000000−2i22i2000000000000000000000000
χ4444-4-44-4-4400000000−4i4i00−22−2222220000000002i2−2i2000000000000000000000000
χ4544-4-4-444-40004-44-4000000000000000000000000000000000000002i2−2i20000
χ4644-4-4-444-40004-44-400000000000000000000000000000000000000−2i22i20000
χ4744-4-4-444-4000-44-4400000000000000000000000000000000000000002i2−2i200
χ4844-4-4-444-4000-44-440000000000000000000000000000000000000000−2i22i200
χ494-44-44-44-44-4-40000400002i2−2i22i2−2i200000002i2−2i200000000000000000000000000
χ504-44-44-44-44-4-4000040000−2i22i2−2i22i20000000−2i22i200000000000000000000000000
χ514-44-44-44-4-4440000-400002i2−2i22i2−2i20000000−2i22i200000000000000000000000000
χ524-44-44-44-4-4440000-40000−2i22i2−2i22i200000002i2−2i200000000000000000000000000
χ534-44-4-44-44-4-4444-4-4400-44000000000000000000000000000000000000000
χ544-44-4-44-44-4-44-4-4444004-4000000000000000000000000000000000000000
χ554-4-4444-4-40004-4-44000000000000000000004i−4i0000000000000000000000
χ564-4-4444-4-40004-4-4400000000000000000000−4i4i0000000000000000000000
χ574-4-4444-4-4000-444-4000004i−4i−4i4i00000000000000000000000000000000000
χ584-4-4444-4-4000-444-400000−4i4i4i−4i00000000000000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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