Finite Group Databasebeta

← Group #312479

Character table — Group #312479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-11
χ1011111111111111111-1-1-1-111111-1-1111111-1-11111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111111-1-1-11111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-111-1-11111-1
χ17222222222-22-22-22-2-20000-222220022-2-22200-2-2000000000000000-200000000000
χ18222222222-22-22-22-2-20000-2222200-2-222-2-200-2-2000000000000000200000000000
χ19222222222-22-22-22-2-20000-2-2-2-2-20022-2-2-2-20022000000000000000200000000000
χ20222222222-22-22-22-2-20000-2-2-2-2-200-2-222220022000000000000000-200000000000
χ2122222222-22-22-22-22-22222-20000-2-20000002200220000-2-20000-200000000000000
χ2222222222-22-22-22-22-22222-20000-2-2000000-2-200-2-20000220000200000000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000220000002200-2-20000220000-200000000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000022000000-2-200220000-2-20000200000000000000
χ2522-2-2-22-222-2-222-2-22-22i2i−2i−2i200002i−2i00000000000000000000000000002-22i−2i00000
χ2622-2-2-22-222-2-222-2-22-22i2i−2i−2i200002i−2i0000000000000000000000000000-22−2i2i00000
χ2722-2-2-22-222-2-222-2-22-2−2i−2i2i2i20000−2i2i00000000000000000000000000002-2−2i2i00000
χ2822-2-2-22-222-2-222-2-22-2−2i−2i2i2i20000−2i2i0000000000000000000000000000-222i−2i00000
χ2922-2-2-22-22-222-2-222-2-2000020000002i−2i2i−2i000000002i2i−2i−2i00000000002-2000000000
χ3022-2-2-22-22-222-2-222-2-2000020000002i−2i2i−2i00000000−2i−2i2i2i0000000000-22000000000
χ3122-2-2-22-22-222-2-222-2-200002000000−2i2i−2i2i000000002i2i−2i−2i0000000000-22000000000
χ3222-2-2-22-22-222-2-222-2-200002000000−2i2i−2i2i00000000−2i−2i2i2i00000000002-2000000000
χ3322-2-2-22-22-2-222-2-22222i2i−2i−2i-20000−2i2i2i−2i−2i2i00000000000000000002-2000000000000
χ3422-2-2-22-22-2-222-2-22222i2i−2i−2i-20000−2i2i−2i2i2i−2i0000000000000000000-22000000000000
χ3522-2-2-22-22-2-222-2-2222−2i−2i2i2i-200002i−2i2i−2i−2i2i0000000000000000000-22000000000000
χ3622-2-2-22-22-2-222-2-2222−2i−2i2i2i-200002i−2i−2i2i2i−2i00000000000000000002-2000000000000
χ372-222-2-2-22020-20-20202i−2i2i−2i0i2i2−i2−i2000000002-2i2−i22i−2i2−22−20022−2−20000000000i2−i2000
χ382-222-2-2-22020-20-20202i−2i2i−2i0i2i2−i2−i200000000-22i2−i2−2i2i2−22−200−2−2220000000000−i2i2000
χ392-222-2-2-22020-20-20202i−2i2i−2i0−i2−i2i2i2000000002-2−i2i22i−2i−22−2200−2−2220000000000−i2i2000
χ402-222-2-2-22020-20-20202i−2i2i−2i0−i2−i2i2i200000000-22−i2i2−2i2i−22−220022−2−20000000000i2−i2000
χ412-222-2-2-22020-20-2020−2i2i−2i2i0i2i2−i2−i2000000002-2i2−i2−2i2i−22−2200−2−2220000000000i2−i2000
χ422-222-2-2-22020-20-2020−2i2i−2i2i0i2i2−i2−i200000000-22i2−i22i−2i−22−220022−2−20000000000−i2i2000
χ432-222-2-2-22020-20-2020−2i2i−2i2i0−i2−i2i2i2000000002-2−i2i2−2i2i2−22−20022−2−20000000000−i2i2000
χ442-222-2-2-22020-20-2020−2i2i−2i2i0−i2−i2i2i200000000-22−i2i22i−2i2−22−200−2−2220000000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-440-40-40400000004-44-4000000000000000000000000000000000000000
χ47444-44-4-4-440-40-4040000000-44-44000000000000000000000000000000000000000
χ48444-44-4-4-4-404040-4000000000000000000000000000000022−2222−22000000000000000
χ49444-44-4-4-4-404040-40000000000000000000000000000000−2222−2222000000000000000
χ5044-44-4-44-44040-40-40000000000000000000000000000000000000000000000022−220
χ5144-44-4-44-44040-40-400000000000000000000000000000000000000000000000−22220
χ5244-44-4-44-4-40-40404000000000000000004i−4i0000000000000000000000000000000
χ5344-44-4-44-4-40-4040400000000000000000−4i4i0000000000000000000000000000000
χ5444-4-4-44-4444-4-444-4-440000-40000000000000000000000000000000000000000000
χ554-444-4-4-440-404040-40000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ564-444-4-4-440-404040-4000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ574-44-4-444-4000000000000002i2−2i2−2i22i20000000000000000002i2−2i22-2-22000000000000000
χ584-44-4-444-4000000000000002i2−2i2−2i22i2000000000000000000−2i22i2-222-2000000000000000
χ594-44-4-444-400000000000000−2i22i22i2−2i20000000000000000002i2−2i2-222-2000000000000000
χ604-44-4-444-400000000000000−2i22i22i2−2i2000000000000000000−2i22i22-2-22000000000000000
χ614-4-4-44-44404040-40-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ624-4-4-44-44404040-40-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ634-4-4-44-4440-40-4040404-4-4400000000000000000000000000000000000000000000
χ644-4-4-44-4440-40-404040-444-400000000000000000000000000000000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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