Finite Group Databasebeta

← Group #258940

Character table — Group #258940

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444444444448888888888888888444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1
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
χ911111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111-11-1-1-111-1-111-1-111-1-1
χ1011111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-11111-1-1-1-111
χ1111111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-11111-1-1
χ1211111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-1-111-1-1-1-111-1-111
χ1311111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111111-11-1-1-1-1-111-1-111-1-111
χ1411111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-111-11111-1-111-1-1-1-111
χ1611111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-11-11-1-1-1-11111-1-111-1-1
χ17222222222222222-2-2-22-2-2-222-2-2-2-2000000000000000000002222000000-2-200000000000000
χ18222222222222222-2-2-22-2-2-222-2-2-2-200000000000000000000-2-2-2-20000002200000000000000
χ1922222222222-2-2-2-2-2-2-22-222-2-222-2-20000000000000000000022-2-2000000-2200000000000000
χ2022222222222-2-2-2-2-2-2-22-222-2-222-2-200000000000000000000-2-2220000002-200000000000000
χ2122222222-2-2-22222222-2222-2-2-2-2-2-20000000000000000222200000000-2-20000000000000000
χ2222222222-2-2-22222222-2222-2-2-2-2-2-20000000000000000-2-2-2-200000000220000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-2222200000000000000000000000022-2-200002-2000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-2220000-22000000000000
χ2522222222-2-2-2-2-2-2-2222-22-2-22222-2-2000000000000000022-2-200000000-220000000000000000
χ2622222222-2-2-2-2-2-2-2222-22-2-22222-2-20000000000000000-2-222000000002-20000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000022-2-20000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000-2-22200002-2000000000000
χ29222-22-2-2-200022-2-222-20-22-20000002222−2−2−2−22222−2−2−2−22-22-20000000000000000002−22−20000
χ30222-22-2-2-200022-2-222-20-22-20000002222−2−2−2−22222−2−2−2−2-22-22000000000000000000−22−220000
χ31222-22-2-2-200022-2-222-20-22-2000000−2−2−2−22222−2−2−2−222222-22-2000000000000000000−22−220000
χ32222-22-2-2-200022-2-222-20-22-2000000−2−2−2−22222−2−2−2−22222-22-220000000000000000002−22−20000
χ33222-22-2-2-2000-2-22222-20-2-220000002222−2−2−2−2−2−2−2−222222-2-220000000000000000002−2−220000
χ34222-22-2-2-2000-2-22222-20-2-220000002222−2−2−2−2−2−2−2−22222-222-2000000000000000000−222−20000
χ35222-22-2-2-2000-2-22222-20-2-22000000−2−2−2−222222222−2−2−2−22-2-22000000000000000000−222−20000
χ36222-22-2-2-2000-2-22222-20-2-22000000−2−2−2−222222222−2−2−2−2-222-20000000000000000002−2−220000
χ3722-22-22-2-222-22-22-2000-20002-2000022−2−222−2−222−2−222−2−200002-22-20000000000000000002−22−2
χ3822-22-22-2-222-22-22-2000-20002-2000022−2−222−2−222−2−222−2−20000-22-22000000000000000000−22−22
χ3922-22-22-2-222-22-22-2000-20002-20000−2−222−2−222−2−222−2−22200002-22-2000000000000000000−22−22
χ4022-22-22-2-222-22-22-2000-20002-20000−2−222−2−222−2−222−2−2220000-22-220000000000000000002−22−2
χ4122-22-22-2-222-2-22-22000-2000-22000022−2−222−2−2−2−222−2−22200002-2-220000000000000000002−2−22
χ4222-22-22-2-222-2-22-22000-2000-22000022−2−222−2−2−2−222−2−2220000-222-2000000000000000000−222−2
χ4322-22-22-2-222-2-22-22000-2000-220000−2−222−2−22222−2−222−2−200002-2-22000000000000000000−222−2
χ4422-22-22-2-222-2-22-22000-2000-220000−2−222−2−22222−2−222−2−20000-222-20000000000000000002−2−22
χ452-2-222-22-22-2200002-2-2-220000002-2000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i000000002-200000000
χ462-2-222-22-22-2200002-2-2-220000002-2000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i00000000-2200000000
χ472-2-222-22-22-2200002-2-2-220000002-200000000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i00000000-2200000000
χ482-2-222-22-22-2200002-2-2-220000002-200000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i000000002-200000000
χ492-2-222-22-2-22-20000-2222-20000002-22-22-22-22-200000000000000002i−2i−2i2i0000002i−2i0000000000
χ502-2-222-22-2-22-20000-2222-20000002-22-22-22-22-20000000000000000−2i2i2i−2i000000−2i2i0000000000
χ512-2-222-22-2-22-20000-2222-20000002-2-22-22-22-2200000000000000002i−2i−2i2i000000−2i2i0000000000
χ522-2-222-22-2-22-20000-2222-20000002-2-22-22-22-220000000000000000−2i2i2i−2i0000002i−2i0000000000
χ53444-44-4-4-400044-4-4-4-4404-440000000000000000000000000000000000000000000000000000
χ54444-44-4-4-4000-4-444-4-44044-40000000000000000000000000000000000000000000000000000
χ5544-44-44-4-4-4-444-44-40004000-4400000000000000000000000000000000000000000000000000
χ5644-44-44-4-4-4-44-44-4400040004-400000000000000000000000000000000000000000000000000
χ5744-4-4-4-4440004-4-44000000000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000
χ5844-4-4-4-4440004-4-440000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000
χ5944-4-4-4-444000-444-4000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000
χ6044-4-4-4-444000-444-40000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000
χ614-444-4-4-444-4-400000004000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ624-444-4-4-444-4-40000000400000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ634-444-4-4-44-4440000000-400000000022−22−222222−22−222200000000000000000000000000000000000000
χ644-444-4-4-44-4440000000-4000000000−222222−22−222222−2200000000000000000000000000000000000000
χ654-44-4-444-400000000000000004i−4i002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ664-44-4-444-400000000000000004i−4i00-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ674-44-4-444-40000000000000000−4i4i002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ684-44-4-444-40000000000000000−4i4i00-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ694-4-444-44-44-440000-444-4-4000000-440000000000000000000000000000000000000000000000
χ704-4-444-44-4-44-400004-4-444000000-440000000000000000000000000000000000000000000000
χ714-4-4-444-4400000004-440-400000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ724-4-4-444-4400000004-440-40000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ734-4-4-444-440000000-44-4040000000022−2222−22−2222−222200000000000000000000000000000000000000
χ744-4-4-444-440000000-44-40400000000−2222−222222−2222−2200000000000000000000000000000000000000

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