Finite Group Databasebeta

← Group #259513

Character table — Group #259513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444444444444442244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-111-1-1-1-111
χ1722222222222222222222-2-22222-2-2-2-2-2-2220000-2-20000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-22222-2-20000-2-20000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-20000220000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000220000000000000000000000000000
χ2122222222-2-2-2-22222-2-2-2-22-200002-200000000002-2000000000000002200-2-200000000
χ2222222222-2-2-2-22222-2-2-2-22-200002-200000000002-200000000000000-2-2002200000000
χ2322222222-2-2-2-22222-2-2-2-2-220000-220000000000-220000000000002200-2-20000000000
χ2422222222-2-2-2-22222-2-2-2-2-220000-220000000000-22000000000000-2-200220000000000
χ2522222222-2-2-2-2-2-2-2-222222-200002-20000000000-22000000000000002-200-2200000000
χ2622222222-2-2-2-2-2-2-2-222222-200002-20000000000-2200000000000000-22002-200000000
χ2722222222-2-2-2-2-2-2-2-22222-220000-2200000000002-20000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-22222-220000-2200000000002-2000000000000-22002-20000000000
χ2922-2-2-222-22-22-2000000002-22i2i−2i−2i-222i−2i000022-2-20000002i2i−2i−2i00000000000000000000
χ3022-2-2-222-22-22-2000000002-22i2i−2i−2i-222i−2i0000-2-222000000−2i−2i2i2i00000000000000000000
χ3122-2-2-222-22-22-2000000002-2−2i−2i2i2i-22−2i2i000022-2-2000000−2i−2i2i2i00000000000000000000
χ3222-2-2-222-22-22-2000000002-2−2i−2i2i2i-22−2i2i0000-2-2220000002i2i−2i−2i00000000000000000000
χ3322-2-2-222-22-22-200000000-222i2i−2i−2i2-2−2i2i00000000002i2i−2i−2i000022-2-20000000000000000
χ3422-2-2-222-22-22-200000000-222i2i−2i−2i2-2−2i2i0000000000−2i−2i2i2i0000-2-2220000000000000000
χ3522-2-2-222-22-22-200000000-22−2i−2i2i2i2-22i−2i00000000002i2i−2i−2i0000-2-2220000000000000000
χ3622-2-2-222-22-22-200000000-22−2i−2i2i2i2-22i−2i0000000000−2i−2i2i2i000022-2-20000000000000000
χ372-222-22-2-2-2-22222-2-222-2-2002i−2i2i−2i0000002i−2i00000000000000000000000000i2−i2i2−i22−22−2
χ382-222-22-2-2-2-22222-2-222-2-2002i−2i2i−2i0000002i−2i00000000000000000000000000−i2i2−i2i2−22−22
χ392-222-22-2-2-2-22222-2-222-2-200−2i2i−2i2i000000−2i2i00000000000000000000000000i2−i2i2−i2−22−22
χ402-222-22-2-2-2-22222-2-222-2-200−2i2i−2i2i000000−2i2i00000000000000000000000000−i2i2−i2i22−22−2
χ412-222-22-2-2-2-222-2-222-2-222002i−2i2i−2i000000−2i2i00000000000000000000000000i2−i2−i2i22−2−22
χ422-222-22-2-2-2-222-2-222-2-222002i−2i2i−2i000000−2i2i00000000000000000000000000−i2i2i2−i2−222−2
χ432-222-22-2-2-2-222-2-222-2-22200−2i2i−2i2i0000002i−2i00000000000000000000000000i2−i2−i2i2−222−2
χ442-222-22-2-2-2-222-2-222-2-22200−2i2i−2i2i0000002i−2i00000000000000000000000000−i2i2i2−i22−2−22
χ45444-44-4-4-400004-44-400000000000000000000000000002-22-22-22-20000000000000000
χ46444-44-4-4-400004-44-40000000000000000000000000000-22-22-22-220000000000000000
χ47444-44-4-4-40000-44-4400000000000000000000000000002-22-2-22-220000000000000000
χ48444-44-4-4-40000-44-440000000000000000000000000000-22-222-22-20000000000000000
χ4944-44-4-4-44000000004i−4i4i−4i0000000000000000000000002i−2i−2i2i2-2-220000000000000000
χ5044-44-4-4-44000000004i−4i4i−4i000000000000000000000000−2i2i2i−2i-222-20000000000000000
χ5144-44-4-4-4400000000−4i4i−4i4i0000000000000000000000002i−2i−2i2i-222-20000000000000000
χ5244-44-4-4-4400000000−4i4i−4i4i000000000000000000000000−2i2i2i−2i2-2-220000000000000000
χ5344-4-4-444-4-44-4400000000440000-4-40000000000000000000000000000000000000000
χ5444-4-4-444-4-44-4400000000-4-40000440000000000000000000000000000000000000000
χ554-444-44-4-444-4-444-4-4-4-444000000000000000000000000000000000000000000000000
χ564-444-44-4-444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000
χ574-44-4-4-44400004-4-440000000000000000002-22-2002-22-2000000000000000000000000
χ584-44-4-4-44400004-4-44000000000000000000-22-2200-22-22000000000000000000000000
χ594-44-4-4-4440000-444-40000000000000000002-22-200-22-22000000000000000000000000
χ604-44-4-4-4440000-444-4000000000000000000-22-22002-22-2000000000000000000000000
χ614-4-444-44-4000000004i−4i−4i4i000000000000002-2-22002i−2i−2i2i000000000000000000000000
χ624-4-444-44-4000000004i−4i−4i4i00000000000000-222-200−2i2i2i−2i000000000000000000000000
χ634-4-444-44-400000000−4i4i4i−4i000000000000002-2-2200−2i2i2i−2i000000000000000000000000
χ644-4-444-44-400000000−4i4i4i−4i00000000000000-222-2002i−2i−2i2i000000000000000000000000
χ654-4-4-444-444-4-440000000000000000004-4000000000000000000000000000000000000
χ664-4-4-444-444-4-44000000000000000000-44000000000000000000000000000000000000
χ674-4-4-444-44-444-400000000004-4-44000000000000000000000000000000000000000000
χ684-4-4-444-44-444-40000000000-444-4000000000000000000000000000000000000000000

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