Finite Group Databasebeta

← Group #449502

Character table — Group #449502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222222222222222444444444444444444444444222222444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ172222222222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-20000220000-2-200002-2000000000000
χ182222222222-2-2-2-222-2-2-2-200000000000000002222-2-2-2-20000-2-20000220000-22000000000000
χ192222222222-2-2-2-222-2-2-2-20000000000000000-2-2-2-222220000220000-2-20000-22000000000000
χ202222222222-2-2-2-222-2-2-2-20000000000000000-2-2-2-222220000-2-200002200002-2000000000000
χ2122222222-2-222-2-2-2-222-2-2000000000000000022-2-222-2-200220000-2-200002-200000000000000
χ2222222222-2-222-2-2-2-222-2-2000000000000000022-2-222-2-200-2-20000220000-2200000000000000
χ2322222222-2-222-2-2-2-222-2-20000000000000000-2-222-2-22200220000-2-20000-2200000000000000
χ2422222222-2-222-2-2-2-222-2-20000000000000000-2-222-2-22200-2-200002200002-200000000000000
χ2522222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-222220000-2-200002-20000000000000000
χ2622222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-222-2-20000220000-220000000000000000
χ2722222222-2-2-2-222-2-2-2-2220000000000000000-2-22222-2-2220000-2-20000-220000000000000000
χ2822222222-2-2-2-222-2-2-2-2220000000000000000-2-22222-2-2-2-200002200002-20000000000000000
χ29222-2-2-2-222-2222-22-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i00000000002-200002-2000000000000002i−2i0000
χ30222-2-2-2-222-2222-22-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i0000000000-220000-2200000000000000−2i2i0000
χ31222-2-2-2-222-2222-22-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i00000000002-200002-200000000000000−2i2i0000
χ32222-2-2-2-222-2222-22-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i0000000000-220000-22000000000000002i−2i0000
χ33222-2-2-2-22-2222-22-22-2-2-222i2i2i2i−2i−2i−2i−2i0000000000000000002-20000-220000000000002i−2i000000
χ34222-2-2-2-22-2222-22-22-2-2-222i2i2i2i−2i−2i−2i−2i000000000000000000-2200002-2000000000000−2i2i000000
χ35222-2-2-2-22-2222-22-22-2-2-22−2i−2i−2i−2i2i2i2i2i0000000000000000002-20000-22000000000000−2i2i000000
χ36222-2-2-2-22-2222-22-22-2-2-22−2i−2i−2i−2i2i2i2i2i000000000000000000-2200002-20000000000002i−2i000000
χ372-2-222-2-222-22-222-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000002-200002-200000000002i−2i0000000000
χ382-2-222-2-222-22-222-222-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000-220000-220000000000−2i2i0000000000
χ392-2-222-2-222-22-222-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000002-200002-20000000000−2i2i0000000000
χ402-2-222-2-222-22-222-222-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000-220000-2200000000002i−2i0000000000
χ412-2-222-2-22-22-22222-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i000000002-20000-220000000000002i−2i00000000
χ422-2-222-2-22-22-22222-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i00000000-2200002-2000000000000−2i2i00000000
χ432-2-222-2-22-22-22222-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i000000002-20000-22000000000000−2i2i00000000
χ442-2-222-2-22-22-22222-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i00000000-2200002-20000000000002i−2i00000000
χ452-2-2-2-2222-2-22-2-2222-222-222-2-2-2-222000000000000000000002-200002-2000000000000002-200
χ462-2-2-2-2222-2-22-2-2222-222-222-2-2-2-22200000000000000000000-220000-2200000000000000-2200
χ472-2-2-2-2222-2-22-2-2222-222-2-2-22222-2-2000000000000000000002-200002-200000000000000-2200
χ482-2-2-2-2222-2-22-2-2222-222-2-2-22222-2-200000000000000000000-220000-22000000000000002-200
χ492-2-2-2-2222-2-2-222-2222-2-220000000022-2-2-2-2220000000000002-20000-2200000000000000002-2
χ502-2-2-2-2222-2-2-222-2222-2-220000000022-2-2-2-222000000000000-2200002-20000000000000000-22
χ512-2-2-2-2222-2-2-222-2222-2-2200000000-2-22222-2-20000000000002-20000-220000000000000000-22
χ522-2-2-2-2222-2-2-222-2222-2-2200000000-2-22222-2-2000000000000-2200002-200000000000000002-2
χ53444-4-4-4-444-4-4-4-444-444-44000000000000000000000000000000000000000000000000000000
χ54444-4-4-4-44-44-4-44-4-44444-4000000000000000000000000000000000000000000000000000000
χ5544-44-44-4-40000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000004i−4i000000000000000000000000000000
χ5644-44-44-4-40000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000−4i4i000000000000000000000000000000
χ5744-44-44-4-4000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i000000−4i4i000000000000000000000000000000
χ5844-44-44-4-4000000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000004i−4i000000000000000000000000000000
χ5944-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22004i−4i0000000000000000000000000000000000
χ6044-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-200−4i4i0000000000000000000000000000000000
χ6144-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-2200−4i4i0000000000000000000000000000000000
χ6244-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2004i−4i0000000000000000000000000000000000
χ634-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-224i−4i000000000000000000000000000000000000
χ644-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-2−4i4i000000000000000000000000000000000000
χ654-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22−4i4i000000000000000000000000000000000000
χ664-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-24i−4i000000000000000000000000000000000000
χ674-44-444-4-40000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i00004i−4i00000000000000000000000000000000
χ684-44-444-4-40000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000−4i4i00000000000000000000000000000000
χ694-44-444-4-4000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i0000−4i4i00000000000000000000000000000000
χ704-44-444-4-4000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i00004i−4i00000000000000000000000000000000
χ714-4-444-4-444-4-44-4-4-44-4444000000000000000000000000000000000000000000000000000000
χ724-4-444-4-44-444-4-4-44-44-444000000000000000000000000000000000000000000000000000000
χ734-4-4-4-4444444-44-4-4-4-44-44000000000000000000000000000000000000000000000000000000
χ744-4-4-4-444444-44-44-4-44-44-4000000000000000000000000000000000000000000000000000000

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