Finite Group Databasebeta

← Group #258935

Character table — Group #258935

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444444444448888888888888888444444444444222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1-11-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-11-11111-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1111-1-111-1-1
χ101111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-111-111-1-1-1-111
χ111111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-111-1-111
χ121111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1111-1-11111-1-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-111
χ141111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-11111-1-1
χ151111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-111-1-111-111-1-111-1-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1111-111-1-1111-1-1-1-111
χ1722222222222-2-22222-2-2222-2-2-2-2-2-20000000000000000220000002200-200-200000000000000
χ1822222222222-2-22222-2-2222-2-2-2-2-2-20000000000000000-2-2000000-2-200200200000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-22222-2-2000000000000000022000000-2-200-200200000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-22222-2-20000000000000000-2-20000002200200-200000000000000
χ2122222222-2-2-222222222-2-2-222-2-2-2-200000000000000000000002200220000-20000-200000000
χ2222222222-2-2-222222222-2-2-222-2-2-2-20000000000000000000000-2-200-2-2000020000200000000
χ2322222222-2-2-222-2-2-2-222-222-2-222-2-200000000000000000000002200-2-2000020000-200000000
χ2422222222-2-2-222-2-2-2-222-222-2-222-2-20000000000000000000000-2-200220000-20000200000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-2222200000000000000000022-2-200000002-2000000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-22222000000000000000000-2-2220000000-22000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000022-2-20000000-22000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000-2-22200000002-2000000000000000
χ29222-22-2-2-22-2-20022-2-20022-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22i−2i0000002i−2i0000000000002−22−20000
χ30222-22-2-2-22-2-20022-2-20022-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2i000000−2i2i000000000000−22−220000
χ31222-22-2-2-22-2-20022-2-20022-2000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22i−2i0000002i−2i000000000000−22−220000
χ32222-22-2-2-22-2-20022-2-20022-2000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2i000000−2i2i0000000000002−22−20000
χ33222-22-2-2-22-2-200-2-222002-22000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22i−2i000000−2i2i0000000000002−2−220000
χ34222-22-2-2-22-2-200-2-222002-22000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2i2i0000002i−2i000000000000−222−20000
χ35222-22-2-2-22-2-200-2-222002-22000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22i−2i000000−2i2i000000000000−222−20000
χ36222-22-2-2-22-2-200-2-222002-22000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2i2i0000002i−2i0000000000002−2−220000
χ3722-22-2-2-220002-22i−2i2i−2i2-20002i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000002i−2i002-200000000000000i2−i22−2
χ3822-22-2-2-220002-22i−2i2i−2i2-20002i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000−2i2i00-2200000000000000−i2i2−22
χ3922-22-2-2-220002-22i−2i2i−2i2-20002i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000002i−2i002-200000000000000−i2i2−22
χ4022-22-2-2-220002-22i−2i2i−2i2-20002i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000−2i2i00-2200000000000000i2−i22−2
χ4122-22-2-2-220002-2−2i2i−2i2i2-2000−2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000002i−2i00-2200000000000000i2−i2−22
χ4222-22-2-2-220002-2−2i2i−2i2i2-2000−2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000−2i2i002-200000000000000−i2i22−2
χ4322-22-2-2-220002-2−2i2i−2i2i2-2000−2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000002i−2i00-2200000000000000−i2i22−2
χ4422-22-2-2-220002-2−2i2i−2i2i2-2000−2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000−2i2i002-200000000000000i2−i2−22
χ452-222-2-22-222-2-2-2000022-20000002-2000000002-22-22-22-2002i−2i2i−2i00000000000002i−2i000000000
χ462-222-2-22-222-2-2-2000022-20000002-2000000002-22-22-22-200−2i2i−2i2i0000000000000−2i2i000000000
χ472-222-2-22-222-2-2-2000022-20000002-200000000-22-22-22-22002i−2i2i−2i0000000000000−2i2i000000000
χ482-222-2-22-222-2-2-2000022-20000002-200000000-22-22-22-2200−2i2i−2i2i00000000000002i−2i000000000
χ492-222-2-22-2-2-22220000-2-220000002-22i−2i2i−2i2i−2i2i−2i00000000002i−2i−2i2i000000000002-200000000000
χ502-222-2-22-2-2-22220000-2-220000002-22i−2i2i−2i2i−2i2i−2i0000000000−2i2i2i−2i00000000000-2200000000000
χ512-222-2-22-2-2-22220000-2-220000002-2−2i2i−2i2i−2i2i−2i2i00000000002i−2i−2i2i00000000000-2200000000000
χ522-222-2-22-2-2-22220000-2-220000002-2−2i2i−2i2i−2i2i−2i2i0000000000−2i2i2i−2i000000000002-200000000000
χ53444-44-4-4-4-4440044-4-400-4-440000000000000000000000000000000000000000000000000000
χ54444-44-4-4-4-44400-4-44400-44-40000000000000000000000000000000000000000000000000000
χ5544-44-4-4-44000-444i−4i4i−4i-44000−4i4i00000000000000000000000000000000000000000000000000
χ5644-44-4-4-44000-44−4i4i−4i4i-440004i−4i00000000000000000000000000000000000000000000000000
χ5744-4-4-444-4000004i−4i−4i4i000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000
χ5844-4-4-444-4000004i−4i−4i4i00000000000−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000
χ5944-4-4-444-400000−4i4i4i−4i000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000
χ6044-4-4-444-400000−4i4i4i−4i00000000000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000
χ614-444-4-44-444-4440000-4-4-4000000-440000000000000000000000000000000000000000000000
χ624-444-4-44-4-4-44-4-40000444000000-440000000000000000000000000000000000000000000000
χ634-44-4-44-444-4400000000-400000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ644-44-4-44-444-4400000000-40000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ654-44-4-44-44-44-40000000040000000022−2222−22−2222−222200000000000000000000000000000000000000
χ664-44-4-44-44-44-400000000400000000−2222−222222−2222−2200000000000000000000000000000000000000
χ674-4-4444-4-40004-40000-440000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ684-4-4444-4-40004-40000-44000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ694-4-4444-4-4000-4400004-4000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ704-4-4444-4-4000-4400004-400000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ714-4-4-44-44400000000000000004-4002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ724-4-4-44-44400000000000000004-400-222-22-2-22-222-22-2-22000000000000000000000000000000
χ734-4-4-44-4440000000000000000-44002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ744-4-4-44-4440000000000000000-4400-222-22-2-222-2-22-222-2000000000000000000000000000000

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