Finite Group Databasebeta

← Group #259346

Character table — Group #259346

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-1
χ51111111111111111111111-1-1111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-11-11-111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111111-11-1-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-2-20022222-2000000000000000-2-2000000000000000
χ1822222222222-2-2-2-2222-2-2-2-200-2-2-2-22-200000000000000022000000000000000
χ1922222222222-2-2-2-22-2-222-2-20022-2-2-22000000000000000-22000000000000000
χ2022222222222-2-2-2-22-2-222-2-200-2-222-220000000000000002-2000000000000000
χ2122222222-2-2-22222-222-2-2-2-2220000-2222000000000000-200-200000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-20000-22-2-2000000000000200200000000000000
χ2322222222-2-2-22222-2-2-222-2-22200002-2-2-2000000000000200-200000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-200002-222000000000000-200200000000000000
χ2522222222-2-2-2-2-2-2-2-2222222000000-2-20022-2-2000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222222000000-2-200-2-22200000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222000000220022-2-200000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2220000002200-2-222000000000000002-20000000000
χ292-2-222-2-2222-2-2-222-200002-200000000002i−2i2i−2i22-2-2000000002i−2i000000000000
χ302-2-222-2-2222-2-2-222-200002-200000000002i−2i2i−2i-2-22200000000−2i2i000000000000
χ312-2-222-2-2222-2-2-222-200002-20000000000−2i2i−2i2i22-2-200000000−2i2i000000000000
χ322-2-222-2-2222-2-2-222-200002-20000000000−2i2i−2i2i-2-222000000002i−2i000000000000
χ332-2-222-2-22-2-2222-2-2200002-200000000002i−2i−2i2i00002i2i−2i−2i000000002-200000000
χ342-2-222-2-22-2-2222-2-2200002-200000000002i−2i−2i2i0000−2i−2i2i2i00000000-2200000000
χ352-2-222-2-22-2-2222-2-2200002-20000000000−2i2i2i−2i00002i2i−2i−2i00000000-2200000000
χ362-2-222-2-22-2-2222-2-2200002-20000000000−2i2i2i−2i0000−2i−2i2i2i000000002-200000000
χ374444-4-4-4-400000000004-400000000000000002-22-22-22-2000000000000000000
χ384444-4-4-4-400000000004-40000000000000000-22-22-22-22000000000000000000
χ394444-4-4-4-40000000000-4400000000000000002-22-2-22-22000000000000000000
χ404444-4-4-4-40000000000-440000000000000000-22-222-22-2000000000000000000
χ4144-4-444-4-44-440000-4000000000000000000000000000000000000000022−220000
χ4244-4-444-4-44-440000-40000000000000000000000000000000000000000−22220000
χ4344-4-444-4-4-44-400004000000000000000000000000000000000000002i2−2i2000000
χ4444-4-444-4-4-44-40000400000000000000000000000000000000000000−2i22i2000000
χ4544-4-4-4-4440004-44-40000000000000004i−4i000000000000000000000000000000
χ4644-4-4-4-4440004-44-4000000000000000−4i4i000000000000000000000000000000
χ4744-4-4-4-444000-44-4400000004i−4i00000000000000000000000000000000000000
χ4844-4-4-4-444000-44-440000000−4i4i00000000000000000000000000000000000000
χ494-44-44-44-44-4-40000400000000004i−4i0000000000000000000000000000000000
χ504-44-44-44-44-4-4000040000000000−4i4i0000000000000000000000000000000000
χ514-44-44-44-4-4440000-4000000004-4000000000000000000000000000000000000
χ524-44-44-44-4-4440000-400000000-44000000000000000000000000000000000000
χ534-44-4-44-440004-4-4400000000000000000000000000000000000000000002i2−2i200
χ544-44-4-44-440004-4-440000000000000000000000000000000000000000000−2i22i200
χ554-44-4-44-44000-444-40000000000000000000000000000000000000000000002i2−2i2
χ564-44-4-44-44000-444-4000000000000000000000000000000000000000000000−2i22i2
χ574-4-444-4-4444-444-4-4-40000-440000000000000000000000000000000000000000
χ584-4-444-4-44-4-44-4-44440000-440000000000000000000000000000000000000000
χ594-4-44-444-4000000004i−4i0000000000000000002-2-222i−2i−2i2i000000000000000000
χ604-4-44-444-4000000004i−4i000000000000000000-222-2−2i2i2i−2i000000000000000000
χ614-4-44-444-400000000−4i4i0000000000000000002-2-22−2i2i2i−2i000000000000000000
χ624-4-44-444-400000000−4i4i000000000000000000-222-22i−2i−2i2i000000000000000000

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