Finite Group Databasebeta

← Group #247342

Character table — Group #247342

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-1111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1111-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-111-111-1-11111-1-1-1-111-1-1-11-1-11111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111111-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-11111-1-1-1111-1-11111-1-111-1-1
χ172222222222-2-222-2-22222-2-20000-2-2220022-200000000000000-200-2000000000000
χ182222222222-2-222-2-22222-2-20000-2-2-2-200-2-2-2000000000000002002000000000000
χ192222222222-2-222-2-2-2-2-2-2220000-2-22200-2-2200000000000000-2002000000000000
χ202222222222-2-222-2-2-2-2-2-2220000-2-2-2-20022200000000000000200-2000000000000
χ2122222222-2-222-2-22222-2-2-2-22222-2-20022002-2-2-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-200-2-2002222200000000000000000000000000
χ2322222222-2-222-2-222-2-222222222-2-200-2-200-2-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-22222-2-2-2-2-2-2002200-222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000022000000-20000000000002-202-20000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222000022000000-2000000000000-220-220000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-200002200000020000000000002-20-220000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-20000220000002000000000000-2202-20000000000000
χ292-222-2-2-22002-2002-2002i−2i2i−2i2i2i−2i−2i000000000002-222−2−2i2i2−i2−i20000000000i2−i22−20000
χ302-222-2-2-22002-2002-2002i−2i2i−2i2i2i−2i−2i000000000002-2−2−222−i2−i2i2i20000000000−i2i2−220000
χ312-222-2-2-22002-2002-2002i−2i2i−2i−2i−2i2i2i00000000000-2222−2−2i2i2−i2−i20000000000−i2i2−220000
χ322-222-2-2-22002-2002-2002i−2i2i−2i−2i−2i2i2i00000000000-22−2−222−i2−i2i2i20000000000i2−i22−20000
χ332-222-2-2-22002-2002-200−2i2i−2i2i2i2i−2i−2i00000000000-2222−2−2−i2−i2i2i20000000000i2−i2−220000
χ342-222-2-2-22002-2002-200−2i2i−2i2i2i2i−2i−2i00000000000-22−2−222i2i2−i2−i20000000000−i2i22−20000
χ352-222-2-2-22002-2002-200−2i2i−2i2i−2i−2i2i2i000000000002-222−2−2−i2−i2i2i20000000000−i2i22−20000
χ362-222-2-2-22002-2002-200−2i2i−2i2i−2i−2i2i2i000000000002-2−2−222i2i2−i2−i20000000000i2−i2−220000
χ372-2-2-2-22222-2-2-22-2220000002-22-22-200000002-20000000000000000002-20000002-2
χ382-2-2-2-22222-2-2-22-2220000002-22-22-200000002-2000000000000000000-22000000-22
χ392-2-2-2-22222-2-2-22-222000000-22-222-20000000-220000000000000000002-2000000-22
χ402-2-2-2-22222-2-2-22-222000000-22-222-20000000-22000000000000000000-220000002-2
χ412-2-2-2-2222-22-2-2-22220000002-22-2-220000000-2200000000000000002-20000002-200
χ422-2-2-2-2222-22-2-2-22220000002-22-2-220000000-220000000000000000-22000000-2200
χ432-2-2-2-2222-22-2-2-2222000000-22-22-2200000002-200000000000000002-2000000-2200
χ442-2-2-2-2222-22-2-2-2222000000-22-22-2200000002-20000000000000000-220000002-200
χ45444-4-44-4-44400-4-40000000000000000000000000000022−2222−22000000000000000000
χ46444-4-44-4-44400-4-400000000000000000000000000000−2222−2222000000000000000000
χ47444-4-44-4-4-4-4004400000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ48444-4-44-4-4-4-400440000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ4944-4-44-4-44004-400-44000000000000004i−4i000000000000000000000000000000000
χ5044-4-44-4-44004-400-4400000000000000−4i4i000000000000000000000000000000000
χ5144-4-44-4-4400-44004-40000004i−4i−4i4i000000000000000000000000000000000000000
χ5244-4-44-4-4400-44004-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ534-444-4-4-4400-4400-44004i−4i−4i4i0000000000000000000000000000000000000000000
χ544-444-4-4-4400-4400-4400−4i4i4i−4i0000000000000000000000000000000000000000000
χ554-44-44-44-4000000004-40000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ564-44-44-44-4000000004-4000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ574-44-44-44-400000000-440000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ584-44-44-44-400000000-44000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ594-4-4444-4-44-400-44000000000000004i−4i00000000000000000000000000000000000
χ604-4-4444-4-44-400-4400000000000000−4i4i00000000000000000000000000000000000
χ614-4-4444-4-4-44004-40000000000000000004i−4i0000000000000000000000000000000
χ624-4-4444-4-4-44004-4000000000000000000−4i4i0000000000000000000000000000000
χ634-4-4-4-44444-4444-4-4-40000000000-440000000000000000000000000000000000000
χ644-4-4-4-4444-4444-44-4-400000000004-40000000000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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