Finite Group Databasebeta

← Group #256666

Character table — Group #256666

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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-11-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11-1-1-11111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111
χ91111111111-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-111
χ111111111111-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1-11-111-1-11111-1-1
χ121111111111-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111
χ131111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ141111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11111-1-1
χ151111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-11-1-11-1-1-111-1-1-1-111
χ161111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ1722222222222222-2-222-2-2-2-2-2-2-222-2000000000000000022002200000000-2000-200000000000
χ1822222222222222-2-222-2-2-2-2-2-2-222-20000000000000000-2-200-2-2000000002000200000000000
χ192222222222-2-2-2-2-2-222-2-22222-2-2-2-200000000000000002200-2-200000000-2000200000000000
χ202222222222-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000-2-20022000000002000-200000000000
χ2122222222-2-2222222-2-222-2-222-2-2-2-20000000000000000002200220000000-2000-20000000000
χ2222222222-2-2222222-2-222-2-222-2-2-2-2000000000000000000-2-200-2-20000000200020000000000
χ2322222222-2-22222-2-2-2-2-2-222-2-22-2-2200000000000000000000000022-2-200002-2000000000000
χ2422222222-2-22222-2-2-2-2-2-222-2-22-2-22000000000000000000000000-2-2220000-22000000000000
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
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000022-2-20000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000-2-22200002-2000000000000
χ29222-22-2-2-22-200002-22-22-20000-2002000000002222-2-2-2-2000000002i−2i2i−2i2i−2i0000000000000000
χ30222-22-2-2-22-200002-22-22-20000-2002000000002222-2-2-2-200000000−2i2i−2i2i−2i2i0000000000000000
χ31222-22-2-2-22-200002-22-22-20000-200200000000-2-2-2-22222000000002i−2i2i−2i−2i2i0000000000000000
χ32222-22-2-2-22-200002-22-22-20000-200200000000-2-2-2-2222200000000−2i2i−2i2i2i−2i0000000000000000
χ33222-22-2-2-2-220000-22-22-220000-20022222-2-2-2-200000000000000002i−2i−2i2i000000002i−2i00000000
χ34222-22-2-2-2-220000-22-22-220000-20022222-2-2-2-20000000000000000−2i2i2i−2i00000000−2i2i00000000
χ35222-22-2-2-2-220000-22-22-220000-2002-2-2-2-2222200000000000000002i−2i−2i2i00000000−2i2i00000000
χ36222-22-2-2-2-220000-22-22-220000-2002-2-2-2-222220000000000000000−2i2i2i−2i000000002i−2i00000000
χ3722-2-2-22-22-222i2i−2i−2i002-200000002i−2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i22-2002i−2i00000000000000002−2i2−i20000
χ3822-2-2-22-22-222i2i−2i−2i002-200000002i−2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i2-2200−2i2i0000000000000000−22−i2i20000
χ3922-2-2-22-22-222i2i−2i−2i002-200000002i−2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i22-2002i−2i0000000000000000−22−i2i20000
χ4022-2-2-22-22-222i2i−2i−2i002-200000002i−2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i2-2200−2i2i00000000000000002−2i2−i20000
χ4122-2-2-22-22-22−2i−2i2i2i002-20000000−2i2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i22-200−2i2i00000000000000002−2−i2i20000
χ4222-2-2-22-22-22−2i−2i2i2i002-20000000−2i2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i2-22002i−2i0000000000000000−22i2−i20000
χ4322-2-2-22-22-22−2i−2i2i2i002-20000000−2i2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i22-200−2i2i0000000000000000−22i2−i20000
χ4422-2-2-22-22-22−2i−2i2i2i002-20000000−2i2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i2-22002i−2i00000000000000002−2−i2i20000
χ452-2-2222-2-2002i−2i2i−2i-22002-2002i−2i0000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002i−2i002-20000000000000000002−2i2−i2
χ462-2-2222-2-2002i−2i2i−2i-22002-2002i−2i0000i2−i2i2−i2i2−i2i2−i22−22−22−22−200−2i2i00-22000000000000000000−22−i2i2
χ472-2-2222-2-2002i−2i2i−2i-22002-2002i−2i0000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002i−2i002-2000000000000000000−22−i2i2
χ482-2-2222-2-2002i−2i2i−2i-22002-2002i−2i0000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200−2i2i00-220000000000000000002−2i2−i2
χ492-2-2222-2-200−2i2i−2i2i-22002-200−2i2i0000i2−i2i2−i2i2−i2i2−i2−22−22−22−22002i−2i00-220000000000000000002−2−i2i2
χ502-2-2222-2-200−2i2i−2i2i-22002-200−2i2i0000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200−2i2i002-2000000000000000000−22i2−i2
χ512-2-2222-2-200−2i2i−2i2i-22002-200−2i2i0000−i2i2−i2i2−i2i2−i2i22−22−22−22−2002i−2i00-22000000000000000000−22i2−i2
χ522-2-2222-2-200−2i2i−2i2i-22002-200−2i2i0000−i2i2−i2i2−i2i2−i2i22−22−22−22−200−2i2i002-20000000000000000002−2−i2i2
χ53444-44-4-4-44-40000-444-4-440000400-40000000000000000000000000000000000000000000000
χ54444-44-4-4-4-4400004-4-444-40000400-40000000000000000000000000000000000000000000000
χ5544-44-4-44-444000000-4-400000000002222−22−22−22−22222200000000000000000000000000000000000000
χ5644-44-4-44-444000000-4-40000000000−22−2222222222−22−2200000000000000000000000000000000000000
χ5744-44-4-44-4-4-4000000440000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000
χ5844-44-4-44-4-4-400000044000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000
χ5944-4-4-44-444-44i4i−4i−4i00-440000000−4i4i00000000000000000000000000000000000000000000000
χ6044-4-4-44-444-4−4i−4i4i4i00-4400000004i−4i00000000000000000000000000000000000000000000000
χ614-444-4-4-440000000000004-40000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ624-444-4-4-440000000000004-4000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ634-444-4-4-44000000000000-440000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ644-444-4-4-44000000000000-44000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ654-44-4-444-4004-4-44000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ664-44-4-444-4004-4-4400000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ674-44-4-444-400-444-4000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ684-44-4-444-400-444-400000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ694-4-4444-4-4004i−4i4i−4i4-400-4400−4i4i00000000000000000000000000000000000000000000000000
χ704-4-4444-4-400−4i4i−4i4i4-400-44004i−4i00000000000000000000000000000000000000000000000000
χ714-4-4-44-4440000004400-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ724-4-4-44-4440000004400-4-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ734-4-4-44-444000000-4-40044000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ744-4-4-44-444000000-4-400440000000000000000−2222−222222−2222−22000000000000000000000000000000

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