Finite Group Databasebeta

← Group #320295

Character table — Group #320295

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444444444444444444448888888888888888161616161616161632323232
order12222222444444444444444444444488888888888888888888888888888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ121111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-222-2-2-2-2-2-222000000000000000022-2-222-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-2-2-2-2-2220000000000000000-2-222-2-22200000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000022-2-2-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000-2-22222-2-200000000000000000000
χ2122222222-2-2222222-2-2-2-2-2-222-2-222-2-200000000000000000000000022-2-222-2-2000000000000
χ2222222222-2-2222222-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2-222-2-222000000000000
χ2322222222-2-22222-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ2422222222-2-22222-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-22200000000000000000000000022-2-2-2-222000000000000
χ2622222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-222000000000000000000000000-2-22222-2-2000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ29222-2-2-2-22220000-2-222-2-2-2-2220000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-2002i−2i000000
χ30222-2-2-2-22220000-2-222-2-2-2-2220000002i2i−2i−2i2i2i−2i−2i000000000000000000000000-2200−2i2i000000
χ31222-2-2-2-22220000-2-222-2-2-2-222000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-200−2i2i000000
χ32222-2-2-2-22220000-2-222-2-2-2-222000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22002i−2i000000
χ33222-2-2-2-22-2-200002222-2-222-2-20000002i2i−2i−2i−2i−2i2i2i000000000000000000000000002i−2i002-20000
χ34222-2-2-2-22-2-200002222-2-222-2-20000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000−2i2i00-220000
χ35222-2-2-2-22-2-200002222-2-222-2-2000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000002i−2i00-220000
χ36222-2-2-2-22-2-200002222-2-222-2-2000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000−2i2i002-20000
χ3722-2-22-22-22-222-2-20000002-20000002-2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2002-2002-2i2−i2i2−i2i2−i2i2−i2000000000000
χ3822-2-22-22-22-222-2-20000002-20000002-2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200-2200-22−i2i2−i2i2−i2i2−i2i2000000000000
χ3922-2-22-22-22-222-2-20000002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2002-2002-2−i2i2−i2i2−i2i2−i2i2000000000000
χ4022-2-22-22-22-222-2-20000002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200-2200-22i2−i2i2−i2i2−i2i2−i2000000000000
χ4122-2-22-22-22-2-2-2220000002-2000000-22i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2002-200-22i2−i2i2−i2−i2i2−i2i2000000000000
χ4222-2-22-22-22-2-2-2220000002-2000000-22i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200-22002-2−i2i2−i2i2i2−i2i2−i2000000000000
χ4322-2-22-22-22-2-2-2220000002-2000000-22−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2002-200-22−i2i2−i2i2i2−i2i2−i2000000000000
χ4422-2-22-22-22-2-2-2220000002-2000000-22−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200-22002-2i2−i2i2−i2−i2i2−i2i2000000000000
χ4522-2-22-22-2-2222-2-2000000-22000000-22i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i22-2002-200i2−i2−i2i2i2−i2−i2i2000000000000
χ4622-2-22-22-2-2222-2-2000000-22000000-22i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i2-2200-2200−i2i2i2−i2−i2i2i2−i2000000000000
χ4722-2-22-22-2-2222-2-2000000-22000000-22−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i22-2002-200−i2i2i2−i2−i2i2i2−i2000000000000
χ4822-2-22-22-2-2222-2-2000000-22000000-22−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i2-2200-2200i2−i2−i2i2i2−i2−i2i2000000000000
χ4922-2-22-22-2-22-2-222000000-220000002-2i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i22-200-2200i2−i2−i2i2−i2i2i2−i2000000000000
χ5022-2-22-22-2-22-2-222000000-220000002-2i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i2-22002-200−i2i2i2−i2i2−i2−i2i2000000000000
χ5122-2-22-22-2-22-2-222000000-220000002-2−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i22-200-2200−i2i2i2−i2i2−i2−i2i2000000000000
χ5222-2-22-22-2-22-2-222000000-220000002-2−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i2-22002-200i2−i2−i2i2−i2i2i2−i2000000000000
χ53444-4-4-4-4444000044-4-444-4-4-4-400000000000000000000000000000000000000000000000000
χ54444-4-4-4-44-4-40000-4-4-4-444444400000000000000000000000000000000000000000000000000
χ5544-44-44-4-44-40000000000-440000000022−22−222222−22−2222000000000000000000000000000000000000
χ5644-44-44-4-44-40000000000-4400000000−222222−22−222222−22000000000000000000000000000000000000
χ5744-44-44-4-4-4400000000004-40000000022−22−2222−222222−22000000000000000000000000000000000000
χ5844-44-44-4-4-4400000000004-400000000−222222−2222−22−2222000000000000000000000000000000000000
χ594-4444-4-4-4004-44-4004-44-400004-4000000000000000000000000000000000000000000000000
χ604-4444-4-4-4004-44-400-44-440000-44000000000000000000000000000000000000000000000000
χ614-4444-4-4-400-44-44004-44-40000-44000000000000000000000000000000000000000000000000
χ624-4444-4-4-400-44-4400-44-4400004-4000000000000000000000000000000000000000000000000
χ634-44-4-444-4000000004-4-4400000000000000000000004i−4i4i−4i0000000000000000000000000000
χ644-44-4-444-4000000004-4-440000000000000000000000−4i4i−4i4i0000000000000000000000000000
χ654-44-4-444-400000000-444-40000000000000000004i−4i4i−4i00000000000000000000000000000000
χ664-44-4-444-400000000-444-4000000000000000000−4i4i−4i4i00000000000000000000000000000000
χ674-4-44-4-4440000004-40000004-40000000000000022−22−222222−22−22220000000000000000000000000000
χ684-4-44-4-4440000004-40000004-400000000000000−222222−22−222222−220000000000000000000000000000
χ694-4-44-4-444000000-44000000-440000000000000022−22−2222−222222−220000000000000000000000000000
χ704-4-44-4-444000000-44000000-4400000000000000−222222−2222−22−22220000000000000000000000000000
χ714-4-4-444-44004-4-444-4000000-44004-40000000000000000000000000000000000000000000000
χ724-4-4-444-44004-4-44-440000004-400-440000000000000000000000000000000000000000000000
χ734-4-4-444-4400-444-44-4000000-4400-440000000000000000000000000000000000000000000000
χ744-4-4-444-4400-444-4-440000004-4004-40000000000000000000000000000000000000000000000

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