Finite Group Databasebeta

← Group #247160

Character table — Group #247160

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444224444444422444444444888888888888888824444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ911111111111-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1
χ1011111111111-1-1-1-111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-111
χ1111111111111-1-1-1-111111-1-11111-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111
χ1211111111111-1-1-1-111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-1
χ1311111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111
χ1411111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-1
χ1511111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1
χ1611111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-111
χ17222222222222222-2-2-2-22222222-2-2-2-2-2-200-2-200-222000000000000000000000000000000
χ18222222222222222-2-2-2-2222-2-2-2-2-2-2-2-222002200-2-2-2000000000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2222222-2-2-2-20022002-2-2000000000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-222-2-22200-2-200222000000000000000000000000000000
χ2122222222-2-2-222222222-2-2-2000022-2-200220022-2000000000000000000-2-2000000000000
χ2222222222-2-2-222222222-2-2-2000022-2-200-2-200-2-2-200000000000000000022000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-20000-2-222000000002000000000000000000002-2002-2000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-22200000000200000000000000000000-2200-22000000
χ2522222222-2-2-2-2-2-2-22222-2220000-2-2-2-2002200-2-220000000000000000002-2000000000000
χ2622222222-2-2-2-2-2-2-22222-2220000-2-2-2-200-2-200222000000000000000000-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2220000222200000000-2000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2220000222200000000-200000000000000000000-22002-2000000
χ292-222-22-2-22-2-222-2-2000022-22i2i−2i−2i00000000000002i−2i0000000022−2−222−2−20000000000i2−i2i2−i2
χ302-222-22-2-22-2-222-2-2000022-22i2i−2i−2i00000000000002i−2i00000000−2−222−2−2220000000000−i2i2−i2i2
χ312-222-22-2-22-2-222-2-2000022-2−2i−2i2i2i0000000000000−2i2i0000000022−2−222−2−20000000000−i2i2−i2i2
χ322-222-22-2-22-2-222-2-2000022-2−2i−2i2i2i0000000000000−2i2i00000000−2−222−2−2220000000000i2−i2i2−i2
χ332-222-22-2-22-2-2-2-22200002-222i2i−2i−2i0000000000000−2i2i0000000022−2−2−2−2220000000000i2−i2−i2i2
χ342-222-22-2-22-2-2-2-22200002-222i2i−2i−2i0000000000000−2i2i00000000−2−22222−2−20000000000−i2i2i2−i2
χ352-222-22-2-22-2-2-2-22200002-22−2i−2i2i2i00000000000002i−2i0000000022−2−2−2−2220000000000−i2i2i2−i2
χ362-222-22-2-22-2-2-2-22200002-22−2i−2i2i2i00000000000002i−2i00000000−2−22222−2−20000000000i2−i2−i2i2
χ372-22-22-22-20002i−2i2i−2i2-22-200000002i−2i00002-2002i−2i00022−2−2i2i2−i2−i22−22−2i2−i2i2−i200000000000000
χ382-22-22-22-20002i−2i2i−2i2-22-200000002i−2i00002-2002i−2i000−2−222−i2−i2i2i2−22−22−i2i2−i2i200000000000000
χ392-22-22-22-20002i−2i2i−2i2-22-200000002i−2i0000-2200−2i2i00022−2−2i2i2−i2−i2−22−22−i2i2−i2i200000000000000
χ402-22-22-22-20002i−2i2i−2i2-22-200000002i−2i0000-2200−2i2i000−2−222−i2−i2i2i22−22−2i2−i2i2−i200000000000000
χ412-22-22-22-2000−2i2i−2i2i2-22-20000000−2i2i00002-200−2i2i00022−2−2−i2−i2i2i22−22−2−i2i2−i2i200000000000000
χ422-22-22-22-2000−2i2i−2i2i2-22-20000000−2i2i00002-200−2i2i000−2−222i2i2−i2−i2−22−22i2−i2i2−i200000000000000
χ432-22-22-22-2000−2i2i−2i2i2-22-20000000−2i2i0000-22002i−2i00022−2−2−i2−i2i2i2−22−22i2−i2i2−i200000000000000
χ442-22-22-22-2000−2i2i−2i2i2-22-20000000−2i2i0000-22002i−2i000−2−222i2i2−i2−i22−22−2−i2i2−i2i200000000000000
χ452-2-2-2-2222-22-200002-2-222002-22-2002-22-20000000002-22-200000000000000002-200000000
χ462-2-2-2-2222-22-200002-2-222002-22-2002-22-2000000000-22-220000000000000000-2200000000
χ472-2-2-2-2222-22-200002-2-22200-22-22002-2-220000000002-22-20000000000000000-2200000000
χ482-2-2-2-2222-22-200002-2-22200-22-22002-2-22000000000-22-2200000000000000002-200000000
χ492-2-2-2-2222-22-20000-222-22002-22-200-22-2200000000000002-22-200000000000000002-20000
χ502-2-2-2-2222-22-20000-222-22002-22-200-22-220000000000000-22-220000000000000000-220000
χ512-2-2-2-2222-22-20000-222-2200-22-2200-222-200000000000002-22-20000000000000000-220000
χ522-2-2-2-2222-22-20000-222-2200-22-2200-222-20000000000000-22-2200000000000000002-20000
χ53444-4-4-4-440004i−4i−4i4i00000000000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ54444-4-4-4-440004i−4i−4i4i0000000000000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ55444-4-4-4-44000−4i4i4i−4i00000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ56444-4-4-4-44000−4i4i4i−4i0000000000000000000000000000000000-222-22i−2i−2i2i00000000000000
χ5744-44-4-44-4000000044-4-4000000000000000000000022−22−222200000000000000000000000000
χ5844-44-4-44-4000000044-4-40000000000000000000000−222222−2200000000000000000000000000
χ5944-44-4-44-40000000-4-444000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ6044-44-4-44-40000000-4-44400000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ6144-4-444-4-444-400000000-4000000000000004-400000000000000000000000000000000000
χ6244-4-444-4-444-400000000-400000000000000-4400000000000000000000000000000000000
χ6344-4-444-4-4-4-44000000004004i−4i−4i4i000000000000000000000000000000000000000000000
χ6444-4-444-4-4-4-4400000000400−4i4i4i−4i000000000000000000000000000000000000000000000
χ654-444-44-4-4-44444-4-40000-4-440000000000000000000000000000000000000000000000000
χ664-444-44-4-4-444-4-4440000-44-40000000000000000000000000000000000000000000000000
χ674-44-44-44-40004i−4i4i−4i-44-440000000−4i4i0000000000000000000000000000000000000000000
χ684-44-44-44-4000−4i4i−4i4i-44-4400000004i−4i0000000000000000000000000000000000000000000
χ694-4-4-4-44444-4400004-4-44-400000000-4400000000000000000000000000000000000000000
χ704-4-4-4-44444-440000-444-4-4000000004-400000000000000000000000000000000000000000
χ718-8-888-8-88000000000000000000000000000000000000000000000000000000000000000

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