Finite Group Databasebeta

← Group #343493

Character table — Group #343493

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1111-1-1-11-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-111-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1111111-1-1-11
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-111111-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111-111-1-1-1-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-111-11
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1111-1-11-1-1-1-111-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1111111-1-1-11111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-111-111111-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111
χ17222222222-22-22-22-2-2-2000022220000-2-2-2-200000000002200-2-2-200020000000000000
χ18222222222-22-22-22-2-2-2000022220000-2-2-2-20000000000-2-200222000-20000000000000
χ19222222222-22-22-22-2-2-20000-2-2-2-2000022220000000000220022-2000-20000000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-2000022220000000000-2-200-2-2200020000000000000
χ2122222222-22-22-22-22-2-222220000-2-2-2-2000000000000220022000-200000-20000000000
χ2222222222-22-22-22-22-2-222220000-2-2-2-2000000000000-2-200-2-200020000020000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000022220000000000002200-2-2000-20000020000000000
χ2422222222-22-22-22-22-2-2-2-2-2-200002222000000000000-2-20022000200000-20000000000
χ25222-22-2-2-2-2-222-2-222-2200000000000000002222-2-2-2-200000000002i−2i02i−2i00000000000
χ26222-22-2-2-2-2-222-2-222-2200000000000000002222-2-2-2-20000000000−2i2i0−2i2i00000000000
χ27222-22-2-2-2-2-222-2-222-220000000000000000-2-2-2-2222200000000002i−2i0−2i2i00000000000
χ28222-22-2-2-2-2-222-2-222-220000000000000000-2-2-2-222220000000000−2i2i02i−2i00000000000
χ2922-2-2-22-22-202020-2000i2i2−i2−i20000i2i2−i2−i22i2i−2i−2i22−2−222−2−2002i−2i002-200000000002−200i2−i200
χ3022-2-2-22-22-202020-2000i2i2−i2−i20000i2i2−i2−i22i2i−2i−2i22−2−222−2−200−2i2i00-220000000000−2200−i2i200
χ3122-2-2-22-22-202020-2000i2i2−i2−i20000i2i2−i2−i2−2i−2i2i2i−2−222−2−222002i−2i00-2200000000002−200−i2i200
χ3222-2-2-22-22-202020-2000i2i2−i2−i20000i2i2−i2−i2−2i−2i2i2i−2−222−2−22200−2i2i002-20000000000−2200i2−i200
χ3322-2-2-22-22-202020-2000−i2−i2i2i20000−i2−i2i2i22i2i−2i−2i−2−222−2−222002i−2i002-20000000000−2200−i2i200
χ3422-2-2-22-22-202020-2000−i2−i2i2i20000−i2−i2i2i22i2i−2i−2i−2−222−2−22200−2i2i00-2200000000002−200i2−i200
χ3522-2-2-22-22-202020-2000−i2−i2i2i20000−i2−i2i2i2−2i−2i2i2i22−2−222−2−2002i−2i00-220000000000−2200i2−i200
χ3622-2-2-22-22-202020-2000−i2−i2i2i20000−i2−i2i2i2−2i−2i2i2i22−2−222−2−200−2i2i002-200000000002−200−i2i200
χ372-2-2222-2-20-202020-2002-22-2i2i2−i2−i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2002-20000000000i2−i200i2−i20000
χ382-2-2222-2-20-202020-2002-22-2i2i2−i2−i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200-220000000000−i2i200−i2i20000
χ392-2-2222-2-20-202020-2002-22-2−i2−i2i2i20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2002-20000000000−i2i200−i2i20000
χ402-2-2222-2-20-202020-2002-22-2−i2−i2i2i20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-2200-220000000000i2−i200i2−i20000
χ412-2-2222-2-20-202020-200-22-22i2i2−i2−i20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22-200-220000000000i2−i200−i2i20000
χ422-2-2222-2-20-202020-200-22-22i2i2−i2−i20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22002-20000000000−i2i200i2−i20000
χ432-2-2222-2-20-202020-200-22-22−i2−i2i2i20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22-200-220000000000−i2i200i2−i20000
χ442-2-2222-2-20-202020-200-22-22−i2−i2i2i20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22002-20000000000i2−i200−i2i20000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000000
χ47444-44-4-4-44-4-444-4-444-400000000000000000000000000000000000000000000000000
χ48444-44-4-4-4-444-4-444-44-400000000000000000000000000000000000000000000000000
χ4944-44-4-44-44040-40-400000000000000000002222−22−22−22−22222200000000000000000000000000
χ5044-44-4-44-44040-40-40000000000000000000−22−2222222222−22−2200000000000000000000000000
χ5144-44-4-44-4-40-4040400000004i−4i4i−4i000000000000000000000000000000000000000000
χ5244-44-4-44-4-40-404040000000−4i4i−4i4i000000000000000000000000000000000000000000
χ5344-4-4-44-4440-40-4040002i22i2−2i2−2i20000−2i2−2i22i22i200000000000000000000000000000000000000
χ5444-4-4-44-4440-40-404000−2i2−2i22i22i200002i22i2−2i2−2i200000000000000000000000000000000000000
χ554-444-4-4-440000000000000022−22−22222i2−2i22i2−2i200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ564-444-4-4-440000000000000022−22−2222−2i22i2−2i22i20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ574-444-4-4-4400000000000000−222222−222i2−2i22i2−2i20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ584-444-4-4-4400000000000000−222222−22−2i22i2−2i22i200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ594-44-4-444-400000000002i2−2i2−2i22i20000000022−22−2222−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ604-44-4-444-400000000002i2−2i2−2i22i200000000−222222−222i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ614-44-4-444-40000000000−2i22i22i2−2i20000000022−22−22222i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ624-44-4-444-40000000000−2i22i22i2−2i200000000−222222−22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ634-4-4444-4-4040-40-4040000002i22i2−2i2−2i20000−2i22i2−2i22i20000000000000000000000000000000000
χ644-4-4444-4-4040-40-404000000−2i2−2i22i22i200002i2−2i22i2−2i20000000000000000000000000000000000
χ654-4-4-44-44404040-40-40000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ664-4-4-44-44404040-40-4000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ674-4-4-44-4440-40-4040400000000004-4-4400000000000000000000000000000000000000
χ684-4-4-44-4440-40-404040000000000-444-400000000000000000000000000000000000000

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