Finite Group Databasebeta

← Group #247259

Character table — Group #247259

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442222224444442244444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-1-111111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-1111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ101111111111111111-1-1-1-111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-1
χ111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111111111-111-1111111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-11-1-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222222222-2-2-2-22200-2-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-222-2-2-2-2002-2-2220000000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-22222-2-2-2-2-2-200-222220000000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2-2-222-2-22200222-2-20000000000000000000000000000
χ2122222222-2-2-22222-2000022-2-222-2-20022-200002200000000-200-200000000000000
χ2222222222-2-2-22222-2000022-2-222-2-200-2-2-20000-2-200000000200200000000000000
χ2322222222-2-2-22222-20000-2-222-2-2-2-2002220000-2-200000000-200200000000000000
χ2422222222-2-2-22222-20000-2-222-2-2-2-200-2-2200002200000000200-200000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-2-2-222000020000000000000002-20002-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-2-2-22200002000000000000000-22000-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22222220000-20000000000000002-2000-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22222220000-2000000000000000-220002-20000000000
χ292222-2-2-2-222-20000-222-2-22-22-200002-200000000022−2−222−2−200000000002−22−20000
χ302222-2-2-2-222-20000-222-2-22-22-200002-2000000000−2−222−2−2220000000000−22−220000
χ312222-2-2-2-222-20000-222-2-2-22-220000-2200000000022−2−2−2−22200000000002−2−220000
χ322222-2-2-2-222-20000-222-2-2-22-220000-22000000000−2−22222−2−20000000000−222−20000
χ332222-2-2-2-222-20000-2-2-2222-22-20000-2200000000022−2−222−2−20000000000−22−220000
χ342222-2-2-2-222-20000-2-2-2222-22-20000-22000000000−2−222−2−22200000000002−22−20000
χ352222-2-2-2-222-20000-2-2-222-22-2200002-200000000022−2−2−2−2220000000000−222−20000
χ362222-2-2-2-222-20000-2-2-222-22-2200002-2000000000−2−22222−2−200000000002−2−220000
χ372-2-22-2-2222-2-22-22-222-22-20000002-2000002-2000000000000000000002-20000002-2
χ382-2-22-2-2222-2-22-22-222-22-20000002-2000002-200000000000000000000-22000000-22
χ392-2-22-2-2222-2-22-22-22-22-220000002-200000-22000000000000000000002-2000000-22
χ402-2-22-2-2222-2-22-22-22-22-220000002-200000-2200000000000000000000-220000002-2
χ412-2-22-2-2222-2-2-22-2222-22-2000000-2200000-2200000000000000002-2000000002-200
χ422-2-22-2-2222-2-2-22-2222-22-2000000-2200000-220000000000000000-2200000000-2200
χ432-2-22-2-2222-2-2-22-222-22-22000000-22000002-200000000000000002-200000000-2200
χ442-2-22-2-2222-2-2-22-222-22-22000000-22000002-20000000000000000-22000000002-200
χ454444-4-4-4-4-4-440000400004-4-4400000000000000000000000000000000000000000
χ464444-4-4-4-4-4-44000040000-444-400000000000000000000000000000000000000000
χ4744-4-44-4-4400044-4-400000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4844-4-44-4-4400044-4-40000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4944-4-44-4-44000-4-44400000000000000000000000022−2222−220000000000000000000000
χ5044-4-44-4-44000-4-444000000000000000000000000−2222−22220000000000000000000000
χ5144-4-4-444-400000000000000004i−4i00000000000002-2-222i−2i−2i2i000000000000000000
χ5244-4-4-444-400000000000000004i−4i0000000000000-222-2−2i2i2i−2i000000000000000000
χ5344-4-4-444-40000000000000000−4i4i00000000000002-2-22−2i2i2i−2i000000000000000000
χ5444-4-4-444-40000000000000000−4i4i0000000000000-222-22i−2i−2i2i000000000000000000
χ554-44-4-44-440004-4-440000000000000004-4000000000000000000000000000000000
χ564-44-4-44-440004-4-44000000000000000-44000000000000000000000000000000000
χ574-44-4-44-44000-444-400000000000000000000004-400000000000000000000000000
χ584-44-4-44-44000-444-40000000000000000000000-4400000000000000000000000000
χ594-4-4444-4-44-440000-44-4-44000000000000000000000000000000000000000000000
χ604-4-4444-4-44-440000-4-444-4000000000000000000000000000000000000000000000
χ614-4-4444-4-4-44-40000400000000000000000004i−4i0000000000000000000000000000
χ624-4-4444-4-4-44-4000040000000000000000000−4i4i0000000000000000000000000000
χ634-4-44-4-444-4444-44-4-40000000000-440000000000000000000000000000000000000
χ644-4-44-4-444-444-44-44-400000000004-40000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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