Finite Group Databasebeta

← Group #280219

Character table — Group #280219

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-111-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1111-1-111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-111111111-1-1-1
χ17222222222-2-22-2-222-22222-200000022-2-2000000-2-200002200000-20000000000000
χ18222222222-2-22-2-222-22222-2000000-2-2-2-2000000220000-2-20000020000000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000002222000000220000-2-200000-20000000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2000000-2-222000000-2-20000220000020000000000000
χ2122222222-222-222-2-2-20000-22222220000-2-222-2-2000000000000-200000000000000
χ2222222222-222-222-2-2-20000-22222-2-2000022-2-2-2-2000000000000200000000000000
χ2322222222-222-222-2-2-20000-2-2-2-2-2220000-2-2-2-222000000000000200000000000000
χ2422222222-222-222-2-2-20000-2-2-2-2-2-2-20000222222000000000000-200000000000000
χ2522-22-2-2-22222-2-2-22-2-22i2i−2i−2i200002-2002i−2i2-2000000000000000000002i−2i000000000
χ2622-22-2-2-22222-2-2-22-2-22i2i−2i−2i20000-22002i−2i-2200000000000000000000−2i2i000000000
χ2722-22-2-2-22222-2-2-22-2-2−2i−2i2i2i200002-200−2i2i2-200000000000000000000−2i2i000000000
χ2822-22-2-2-22222-2-2-22-2-2−2i−2i2i2i20000-2200−2i2i-22000000000000000000002i−2i000000000
χ2922-22-2-2-222-2-2-2222-222i2i−2i−2i-200000000−2i2i0000000000000000000000002-200002i−2i0
χ3022-22-2-2-222-2-2-2222-222i2i−2i−2i-200000000−2i2i000000000000000000000000-220000−2i2i0
χ3122-22-2-2-222-2-2-2222-22−2i−2i2i2i-2000000002i−2i0000000000000000000000002-20000−2i2i0
χ3222-22-2-2-222-2-2-2222-22−2i−2i2i2i-2000000002i−2i000000000000000000000000-2200002i−2i0
χ3322-22-2-2-22-2222-2-2-2220000-200002-20000-220000002i2i−2i−2i000000002i−2i00000000000
χ3422-22-2-2-22-2222-2-2-2220000-200002-20000-22000000−2i−2i2i2i00000000−2i2i00000000000
χ3522-22-2-2-22-2222-2-2-2220000-20000-2200002-20000002i2i−2i−2i00000000−2i2i00000000000
χ3622-22-2-2-22-2222-2-2-2220000-20000-2200002-2000000−2i−2i2i2i000000002i−2i00000000000
χ372-22-22-2-22200200-2-202i−2i2i−2i022−2−2002-20000002−200i2−i2i2−i22i−2ii2i2−i2−i2000000002−200000
χ382-22-22-2-22200200-2-202i−2i2i−2i022−2−200-220000002−200i2−i2i2−i2−2i2i−i2−i2i2i200000000−2200000
χ392-22-22-2-22200200-2-202i−2i2i−2i0−2−222002-2000000−2200−i2i2−i2i22i−2i−i2−i2i2i200000000−2200000
χ402-22-22-2-22200200-2-202i−2i2i−2i0−2−22200-22000000−2200−i2i2−i2i2−2i2ii2i2−i2−i2000000002−200000
χ412-22-22-2-22200200-2-20−2i2i−2i2i022−2−2002-20000002−200−i2i2−i2i2−2i2i−i2−i2i2i2000000002−200000
χ422-22-22-2-22200200-2-20−2i2i−2i2i022−2−200-220000002−200−i2i2−i2i22i−2ii2i2−i2−i200000000−2200000
χ432-22-22-2-22200200-2-20−2i2i−2i2i0−2−222002-2000000−2200i2−i2i2−i2−2i2ii2i2−i2−i200000000−2200000
χ442-22-22-2-22200200-2-20−2i2i−2i2i0−2−22200-22000000−2200i2−i2i2−i22i−2i−i2−i2i2i2000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-44-4-4-44-4-4-4444-44-4000040000000000000000000000000000000000000000000
χ4744-4-44-44-4000000000000002i2−2i22i2−2i20000000000002i2−2i20000002-22-2000000000000000
χ4844-4-44-44-4000000000000002i2−2i22i2−2i2000000000000−2i22i2000000-22-22000000000000000
χ4944-4-44-44-400000000000000−2i22i2−2i22i20000000000002i2−2i2000000-22-22000000000000000
χ5044-4-44-44-400000000000000−2i22i2−2i22i2000000000000−2i22i20000002-22-2000000000000000
χ514-444-4-44-404-404-400000000000000000000000000000000000000000000002i2−2i2000
χ524-444-4-44-404-404-40000000000000000000000000000000000000000000000−2i22i2000
χ534-444-4-44-40-440-44000000000000000000004i−4i00000000000000000000000000000
χ544-444-4-44-40-440-4400000000000000000000−4i4i00000000000000000000000000000
χ554-44-44-4-44-400-400440000002222−22−220000000000−2222000000000000000000000000000
χ564-44-44-4-44-400-40044000000−22−222222000000000022−22000000000000000000000000000
χ574-4-4444-4-404-40-44000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-4444-4-404-40-4400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ594-4-4444-4-40-4404-4000000004i−4i−4i4i000000000000000000000000000000000000000
χ604-4-4444-4-40-4404-400000000−4i4i4i−4i000000000000000000000000000000000000000
χ614-4-4-4-4444400-400-4404-4-4400000000000000000000000000000000000000000000
χ624-4-4-4-4444400-400-440-444-400000000000000000000000000000000000000000000
χ634-4-4-4-4444-4004004-400000000000000000000000022−22−2222000000000000000000000
χ644-4-4-4-4444-4004004-4000000000000000000000000−222222−22000000000000000000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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