Finite Group Databasebeta

← Group #256661

Character table — Group #256661

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444224444448888888888888888224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1111-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1111-11-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111
χ91111111111-1-1-1-1111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-111-11-1-111-1-1-1-111
χ111111111111-1-1-1-1111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-11111-1-1
χ121111111111-1-1-1-1111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111
χ131111111111-1-1-1-1111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ141111111111-1-1-1-1111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11111-1-1
χ151111111111-1-1-1-1111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-11-1-11-1-1-111-1-1-1-111
χ161111111111-1-1-1-1111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ1722222222222222-2-222-2-222-2-2-2-2-2-2000000000000000022002200000000-2000-200000000000
χ1822222222222222-2-222-2-222-2-2-2-2-2-20000000000000000-2-200-2-2000000002000200000000000
χ192222222222-2-2-2-2-2-222-2-2-2-2-22222-200000000000000002200-2-200000000-2000200000000000
χ202222222222-2-2-2-2-2-222-2-2-2-2-22222-20000000000000000-2-20022000000002000-200000000000
χ2122222222-2-2222222-2-222-2-2-222-2-2-20000000000000000002200220000000-2000-20000000000
χ2222222222-2-2222222-2-222-2-2-222-2-2-2000000000000000000-2-200-2-20000000200020000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-22-2-222200000000000000000000000022-2-2000000002-200000000
χ2422222222-2-22222-2-2-2-2-2-2-2-22-2-2222000000000000000000000000-2-22200000000-2200000000
χ2522222222-2-2-2-2-2-222-2-22222-2-2-222-20000000000000000002200-2-20000000-200020000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-222-2000000000000000000-2-2002200000002000-20000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2200000000000000000000000022-2-200000000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-22000000000000000000000000-2-222000000002-200000000
χ29222-22-2-2-22-200002-22-22-200-200002000000002222-2-2-2-2000000002i−2i2i−2i2i−2i0000000000000000
χ30222-22-2-2-22-200002-22-22-200-200002000000002222-2-2-2-200000000−2i2i−2i2i−2i2i0000000000000000
χ31222-22-2-2-22-200002-22-22-200-20000200000000-2-2-2-22222000000002i−2i2i−2i−2i2i0000000000000000
χ32222-22-2-2-22-200002-22-22-200-20000200000000-2-2-2-2222200000000−2i2i−2i2i2i−2i0000000000000000
χ33222-22-2-2-2-220000-22-22-2200-2000022222-2-2-2-200000000000000002i−2i−2i2i00002i−2i000000000000
χ34222-22-2-2-2-220000-22-22-2200-2000022222-2-2-2-20000000000000000−2i2i2i−2i0000−2i2i000000000000
χ35222-22-2-2-2-220000-22-22-2200-200002-2-2-2-2222200000000000000002i−2i−2i2i0000−2i2i000000000000
χ36222-22-2-2-2-220000-22-22-2200-200002-2-2-2-222220000000000000000−2i2i2i−2i00002i−2i000000000000
χ3722-22-22-2-2-2-222-2-20022002-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2002-20000000000000000i2−i2i2−i20000
χ3822-22-22-2-2-2-222-2-20022002-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2200-220000000000000000−i2i2−i2i20000
χ3922-22-22-2-2-2-222-2-20022002-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2002-20000000000000000−i2i2−i2i20000
χ4022-22-22-2-2-2-222-2-20022002-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2200-220000000000000000i2−i2i2−i20000
χ4122-22-22-2-2-2-2-2-222002200-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-200-220000000000000000i2−i2−i2i20000
χ4222-22-22-2-2-2-2-2-222002200-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22002-20000000000000000−i2i2i2−i20000
χ4322-22-22-2-2-2-2-2-222002200-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-200-220000000000000000−i2i2i2−i20000
χ4422-22-22-2-2-2-2-2-222002200-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22002-20000000000000000i2−i2−i2i20000
χ452-2-222-22-2002i−2i2i−2i-22002-20002i−2i000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002i−2i002-20000000000000000002−2i2−i2
χ462-2-222-22-2002i−2i2i−2i-22002-20002i−2i000i2−i2i2−i2i2−i2i2−i22−22−22−22−200−2i2i00-22000000000000000000−22−i2i2
χ472-2-222-22-2002i−2i2i−2i-22002-20002i−2i000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002i−2i002-2000000000000000000−22−i2i2
χ482-2-222-22-2002i−2i2i−2i-22002-20002i−2i000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200−2i2i00-220000000000000000002−2i2−i2
χ492-2-222-22-200−2i2i−2i2i-22002-2000−2i2i000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002i−2i00-220000000000000000002−2−i2i2
χ502-2-222-22-200−2i2i−2i2i-22002-2000−2i2i000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200−2i2i002-2000000000000000000−22i2−i2
χ512-2-222-22-200−2i2i−2i2i-22002-2000−2i2i000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002i−2i00-22000000000000000000−22i2−i2
χ522-2-222-22-200−2i2i−2i2i-22002-2000−2i2i000−i2i2−i2i2−i2i2−i2i22−22−22−22−200−2i2i002-20000000000000000002−2−i2i2
χ53444-44-4-4-44-40000-444-4-440040000-40000000000000000000000000000000000000000000000
χ54444-44-4-4-4-4400004-4-444-40040000-40000000000000000000000000000000000000000000000
χ5544-44-44-4-44444-4-400-4-400-440000000000000000000000000000000000000000000000000000
χ5644-44-44-4-444-4-44400-4-4004-40000000000000000000000000000000000000000000000000000
χ5744-4-4-4-4444-4000000-4400000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ5844-4-4-4-4444-4000000-440000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ5944-4-4-4-444-440000004-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000
χ6044-4-4-4-444-440000004-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000
χ614-444-4-4-44004i−4i−4i4i000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ624-444-4-4-44004i−4i−4i4i00000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ634-444-4-4-4400−4i4i4i−4i000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ644-444-4-4-4400−4i4i4i−4i00000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ654-44-4-444-4000000000000000004i−4i02-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ664-44-4-444-4000000000000000004i−4i0-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ674-44-4-444-400000000000000000−4i4i02-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ684-44-4-444-400000000000000000−4i4i0-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ694-4-444-44-4004i−4i4i−4i4-400-44000−4i4i0000000000000000000000000000000000000000000000000
χ704-4-444-44-400−4i4i−4i4i4-400-440004i−4i0000000000000000000000000000000000000000000000000
χ714-4-4-444-440000004400-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ724-4-4-444-440000004400-4-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ734-4-4-444-44000000-4-40044000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ744-4-4-444-44000000-4-400440000000000000000−2222−222222−2222−22000000000000000000000000000000

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