Finite Group Databasebeta

← Group #306749

Character table — Group #306749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1
χ911111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ1011111111111111111-1-1-1-11111111-1-11111-1-111-1-1-1-1111111111-1-1-1-1-1-1-111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1111-1-11111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11-1-1-111111111-1-1-1
χ17222222222-22-22-22-2-20000-222222200-2-22200000000-2-2000000-200000000000000
χ18222222222-22-22-22-2-20000-22222-2-20022-2-200000000-2-2000000200000000000000
χ19222222222-22-22-22-2-20000-2-2-2-2-22200-2-2-2-20000000022000000200000000000000
χ20222222222-22-22-22-2-20000-2-2-2-2-2-2-20022220000000022000000-200000000000000
χ2122222222-22-22-22-22-22222-2000000-2-2000022-2-20000002200000-20000000000000
χ2222222222-22-22-22-22-22222-2000000-2-20000-2-222000000-2-20000020000000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000002200002222000000-2-200000-20000000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000000220000-2-2-2-2000000220000020000000000000
χ2522-2-222-2-22-2-222-2-22-22i2i−2i−2i20000002i−2i000000000000000000000000002i−2i00002-20
χ2622-2-222-2-22-2-222-2-22-22i2i−2i−2i20000002i−2i00000000000000000000000000−2i2i0000-220
χ2722-2-222-2-22-2-222-2-22-2−2i−2i2i2i2000000−2i2i000000000000000000000000002i−2i0000-220
χ2822-2-222-2-22-2-222-2-22-2−2i−2i2i2i2000000−2i2i00000000000000000000000000−2i2i00002-20
χ2922-2-222-2-2-222-2-222-2-20000200002-2002-20000002i2i−2i−2i00000000002i−2i00000000000
χ3022-2-222-2-2-222-2-222-2-20000200002-2002-2000000−2i−2i2i2i0000000000−2i2i00000000000
χ3122-2-222-2-2-222-2-222-2-2000020000-2200-220000002i2i−2i−2i0000000000−2i2i00000000000
χ3222-2-222-2-2-222-2-222-2-2000020000-2200-22000000−2i−2i2i2i00000000002i−2i00000000000
χ3322-2-222-2-2-2-222-2-22222i2i−2i−2i-200002-2−2i2i-2200000000000000000000002i−2i000000000
χ3422-2-222-2-2-2-222-2-22222i2i−2i−2i-20000-22−2i2i2-20000000000000000000000−2i2i000000000
χ3522-2-222-2-2-2-222-2-2222−2i−2i2i2i-200002-22i−2i-220000000000000000000000−2i2i000000000
χ3622-2-222-2-2-2-222-2-2222−2i−2i2i2i-20000-222i−2i2-200000000000000000000002i−2i000000000
χ372-2222-2-2-20-20-2020202i−2i2i−2i022−2−2000000002i−2i00i2−i2i2−i22−22-222−2−20000000000i2−i2000
χ382-2222-2-2-20-20-2020202i−2i2i−2i022−2−200000000−2i2i00i2−i2i2−i22−2-22−2−2220000000000−i2i2000
χ392-2222-2-2-20-20-2020202i−2i2i−2i0−2−222000000002i−2i00−i2i2−i2i2−222-2−2−2220000000000−i2i2000
χ402-2222-2-2-20-20-2020202i−2i2i−2i0−2−22200000000−2i2i00−i2i2−i2i2−22-2222−2−20000000000i2−i2000
χ412-2222-2-2-20-20-202020−2i2i−2i2i022−2−2000000002i−2i00−i2i2−i2i22−2-22−2−2220000000000i2−i2000
χ422-2222-2-2-20-20-202020−2i2i−2i2i022−2−200000000−2i2i00−i2i2−i2i22−22-222−2−20000000000−i2i2000
χ432-2222-2-2-20-20-202020−2i2i−2i2i0−2−222000000002i−2i00i2−i2i2−i2−22-2222−2−20000000000−i2i2000
χ442-2222-2-2-20-20-202020−2i2i−2i2i0−2−22200000000−2i2i00i2−i2i2−i2−222-2−2−2220000000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-44040-40-4000000000000000000000000000000000000000000022−2200000
χ47444-4-4-44-44040-40-40000000000000000000000000000000000000000000−222200000
χ48444-4-4-44-4-40-40404000000000000000004i−4i0000000000000000000000000000000
χ49444-4-4-44-4-40-4040400000000000000000−4i4i0000000000000000000000000000000
χ5044-44-4-4-4440-40-40400000004i−4i4i−4i000000000000000000000000000000000000000
χ5144-44-4-4-4440-40-4040000000−4i4i−4i4i000000000000000000000000000000000000000
χ5244-44-4-4-44-404040-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5344-44-4-4-44-404040-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5444-4-444-4-444-4-444-4-440000-40000000000000000000000000000000000000000000
χ554-4444-4-4-404040-40-40000002222−22−220000000000000000−2222000000000000000000000
χ564-4444-4-4-404040-40-4000000−22−222222000000000000000022−22000000000000000000000
χ574-4-44-444-4000000000000002i2−2i2−2i22i2000000000022−22000000002i−2i−2i2i000000000000000
χ584-4-44-444-4000000000000002i2−2i2−2i22i20000000000−222200000000−2i2i2i−2i000000000000000
χ594-4-44-444-400000000000000−2i22i22i2−2i2000000000022−2200000000−2i2i2i−2i000000000000000
χ604-4-44-444-400000000000000−2i22i22i2−2i20000000000−2222000000002i−2i−2i2i000000000000000
χ614-4-4-44-444040-40-40404-4-4400000000000000000000000000000000000000000000
χ624-4-4-44-444040-40-4040-444-400000000000000000000000000000000000000000000
χ634-4-4-44-4440-404040-4000000000000000000000022−22−222200000000000000000000000
χ644-4-4-44-4440-404040-40000000000000000000000−222222−2200000000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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