Finite Group Databasebeta

← Group #247307

Character table — Group #247307

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444442244444444488888888222224444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111-1-1111-1-111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-1-1-1111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ7111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-111111111-11111-11111-1-1-1-1-1-1-1-1
χ8111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-111-1-1
χ101111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-111-1-111
χ111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-1-11111-1-1-1-111
χ121111111111111111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-1-1-11111-111-1-11-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1111-1-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111111-1-111-111-1-111-1-111-1-1
χ172222222222-2-2-222-2220000-2-2-2-2-2-20022200-2-2000000000020000-2000000000000
χ182222222222-2-2-222-2220000-2-2-2-2-2-200-2-2200220000000000-200002000000000000
χ192222222222-2-2-222-2-2-200002222-2-20022-200220000000000-20000-2000000000000
χ202222222222-2-2-222-2-2-200002222-2-200-2-2-200-2-20000000000200002000000000000
χ2122222222-2-2222-2-2222222222-2-2-2-2-2-200-2-2-2002200000000000000000000000000
χ2222222222-2-2222-2-2222-2-2-2-222-2-2-2-22200-22200-2-200000000000000000000000000
χ2322222222-2-2222-2-22-2-22222-2-222-2-2-2-20022200-2-200000000000000000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2-2-222-2-222002-2-2002200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2220000-2-222220000-2000000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-2220000-2-222220000-200000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2000022-2-22200002000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2000022-2-2220000200000000000000000000-222-200000000
χ292-222-2-22-20022-200-22-22i2i−2i−2i2-200000000000002i−2ii2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ302-222-2-22-20022-200-22-22i2i−2i−2i2-200000000000002i−2i−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ312-222-2-22-20022-200-22-2−2i−2i2i2i2-20000000000000−2i2ii2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ322-222-2-22-20022-200-22-2−2i−2i2i2i2-20000000000000−2i2i−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ332-222-2-22-20022-200-2-222i2i−2i−2i-220000000000000−2i2ii2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ342-222-2-22-20022-200-2-222i2i−2i−2i-220000000000000−2i2i−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ352-222-2-22-20022-200-2-22−2i−2i2i2i-2200000000000002i−2ii2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ362-222-2-22-20022-200-2-22−2i−2i2i2i-2200000000000002i−2i−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ372-2-2-22-2222-22-2-22-22002-22-200002-22-2000000000000000000002-2000000000002-2
χ382-2-2-22-2222-22-2-22-22002-22-200002-22-200000000000000000000-2200000000000-22
χ392-2-2-22-2222-22-2-22-2200-22-2200002-2-22000000000000000000002-200000000000-22
χ402-2-2-22-2222-22-2-22-2200-22-2200002-2-2200000000000000000000-22000000000002-2
χ412-2-2-22-222-222-2-2-222002-22-20000-22-220000000000000000002-2000000000002-200
χ422-2-2-22-222-222-2-2-222002-22-20000-22-22000000000000000000-2200000000000-2200
χ432-2-2-22-222-222-2-2-22200-22-220000-222-20000000000000000002-200000000000-2200
χ442-2-2-22-222-222-2-2-22200-22-220000-222-2000000000000000000-22000000000002-200
χ45444-44-4-4-44-4000-440000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ46444-44-4-4-44-4000-44000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ47444-44-4-4-4-440004-400000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ48444-44-4-4-4-440004-40000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4944-4-4-444-4004-4400-4004i−4i−4i4i0000000000000000000000000000000000000000000
χ5044-4-4-444-4004-4400-400−4i4i4i−4i0000000000000000000000000000000000000000000
χ5144-4-4-444-400-44-4004000000000000000004-4000000000000000000000000000000
χ5244-4-4-444-400-44-400400000000000000000-44000000000000000000000000000000
χ534-444-4-44-400-4-440044-40000-4400000000000000000000000000000000000000000
χ544-444-4-44-400-4-44004-4400004-400000000000000000000000000000000000000000
χ554-44-4-44-4400000000000000004-400000000000002-2-222-2-22000000000000000000
χ564-44-4-44-4400000000000000004-40000000000000-222-2-222-2000000000000000000
χ574-44-4-44-440000000000000000-4400000000000002-2-22-222-2000000000000000000
χ584-44-4-44-440000000000000000-440000000000000-222-22-2-22000000000000000000
χ594-4-4444-4-444000-4-4000000000000000000004i−4i0000000000000000000000000000
χ604-4-4444-4-444000-4-400000000000000000000−4i4i0000000000000000000000000000
χ614-4-4444-4-4-4-4000440000000000000004-4000000000000000000000000000000000
χ624-4-4444-4-4-4-400044000000000000000-44000000000000000000000000000000000
χ634-4-4-44-4444-4-4444-4-40000000000-440000000000000000000000000000000000000
χ644-4-4-44-444-44-444-44-400000000004-40000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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