Finite Group Databasebeta

← Group #323913

Character table — Group #323913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444444444444444444448888888888888888161616161616161632323232
order12222222444444448888888822444444448888888888884444444488888888888888882244
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
χ5111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-11
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ17222222222-2-2222-2-2222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222-2-2222-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000
χ2122222222-222-2-2-2220000000022-2-2-2-222-2-20000000000002222-2-2-2-200000000000000000000
χ2222222222-222-2-2-2220000000022-2-2-2-222-2-2000000000000-2-2-2-2222200000000000000000000
χ2322222222-222-2-2-22200000000-2-222-2-2-2-22200000000000022-2-222-2-200000000000000000000
χ2422222222-222-2-2-22200000000-2-222-2-2-2-222000000000000-2-222-2-22200000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000000022-2-222-2-222000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-20000000022-2-222-2-22200000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-200000000-2-2222222-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-200000000-2-2222222-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ2922-2-2-22-22022000-2-22222−2−2−2−22-200002-20022−2−222−2−222−2−22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ3022-2-2-22-22022000-2-22222−2−2−2−22-200002-20022−2−222−2−222−2−2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ3122-2-2-22-22022000-2-22222−2−2−2−2-220000-2200−2−22222−2−2−2−2222i−2i−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ3222-2-2-22-22022000-2-22222−2−2−2−2-220000-2200−2−22222−2−2−2−222−2i2i2i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ3322-2-2-22-22022000-2-2−2−2−2−222222-200002-200−2−222−2−222−2−2222i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ3422-2-2-22-22022000-2-2−2−2−2−222222-200002-200−2−222−2−222−2−222−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ3522-2-2-22-22022000-2-2−2−2−2−22222-220000-220022−2−2−2−22222−2−22i−2i−2i2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ3622-2-2-22-22022000-2-2−2−2−2−22222-220000-220022−2−2−2−22222−2−2−2i2i2i−2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ3722-2-2-22-220-2-2000222222−2−2−2−22-20000-220022−2−2−2−222−2−22200002-22-22−2−222−2−22000000000000
χ3822-2-2-22-220-2-2000222222−2−2−2−22-20000-220022−2−2−2−222−2−2220000-22-22−222−2−222−2000000000000
χ3922-2-2-22-220-2-2000222222−2−2−2−2-2200002-200−2−222−2−22222−2−200002-2-22−222−22−2−22000000000000
χ4022-2-2-22-220-2-2000222222−2−2−2−2-2200002-200−2−222−2−22222−2−20000-222-22−2−22−222−2000000000000
χ4122-2-2-22-220-2-200022−2−2−2−222222-20000-2200−2−22222−2−222−2−200002-22-2−222−2−222−2000000000000
χ4222-2-2-22-220-2-200022−2−2−2−222222-20000-2200−2−22222−2−222−2−20000-22-222−2−222−2−22000000000000
χ4322-2-2-22-220-2-200022−2−2−2−22222-2200002-20022−2−222−2−2−2−22200002-2-222−2−22−222−2000000000000
χ4422-2-2-22-220-2-200022−2−2−2−22222-2200002-20022−2−222−2−2−2−2220000-222-2−222−22−2−22000000000000
χ452-2-22-222-222-22-2-22-22i2i−2i−2i2i2i−2i−2i00002-2000000002i−2i2i−2i0000000000000000000000002-22i−2i0000
χ462-2-22-222-222-22-2-22-22i2i−2i−2i2i2i−2i−2i00002-2000000002i−2i2i−2i000000000000000000000000-22−2i2i0000
χ472-2-22-222-222-22-2-22-2−2i−2i2i2i−2i−2i2i2i00002-200000000−2i2i−2i2i0000000000000000000000002-2−2i2i0000
χ482-2-22-222-222-22-2-22-2−2i−2i2i2i−2i−2i2i2i00002-200000000−2i2i−2i2i000000000000000000000000-222i−2i0000
χ492-2-22-222-22-222-2-2-222i2i−2i−2i2i2i−2i−2i0000-2200000000−2i2i−2i2i000000000000000000002i−2i2-200000000
χ502-2-22-222-22-222-2-2-222i2i−2i−2i2i2i−2i−2i0000-2200000000−2i2i−2i2i00000000000000000000−2i2i-2200000000
χ512-2-22-222-22-222-2-2-22−2i−2i2i2i−2i−2i2i2i0000-22000000002i−2i2i−2i000000000000000000002i−2i-2200000000
χ522-2-22-222-22-222-2-2-22−2i−2i2i2i−2i−2i2i2i0000-22000000002i−2i2i−2i00000000000000000000−2i2i2-200000000
χ534444-4-4-4-4400-44-4000000000000000000004-44-4000000000000000000000000000000000000
χ544444-4-4-4-4400-44-400000000000000000000-44-44000000000000000000000000000000000000
χ554444-4-4-4-4-4004-44004i−4i4i−4i4i−4i4i−4i00000000000000000000000000000000000000000000000000
χ564444-4-4-4-4-4004-4400−4i4i−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000
χ5744-4-44-44-4000000002i2−2i22i2−2i2−2i22i2−2i22i2004i−4i00000022−22−2222000000000000000000000000000000000000
χ5844-4-44-44-4000000002i2−2i22i2−2i2−2i22i2−2i22i200−4i4i000000−222222−22000000000000000000000000000000000000
χ5944-4-44-44-400000000−2i22i2−2i22i22i2−2i22i2−2i2004i−4i000000−222222−22000000000000000000000000000000000000
χ6044-4-44-44-400000000−2i22i2−2i22i22i2−2i22i2−2i200−4i4i00000022−22−2222000000000000000000000000000000000000
χ614-44-444-4-404-4000-442i22i2−2i2−2i2−2i2−2i22i22i2000000000000002i2−2i2−2i22i200000000000000000000000000000000
χ624-44-444-4-404-4000-44−2i2−2i22i22i22i22i2−2i2−2i200000000000000−2i22i22i2−2i200000000000000000000000000000000
χ634-44-444-4-40-440004-42i22i2−2i2−2i2−2i2−2i22i22i200000000000000−2i22i22i2−2i200000000000000000000000000000000
χ644-44-444-4-40-440004-4−2i2−2i22i22i22i22i2−2i2−2i2000000000000002i2−2i2−2i22i200000000000000000000000000000000
χ654-44-4-4-4440000000022−22−2222−222222−22000000004-40000000022−2222−220000000000000000000000000000
χ664-44-4-4-4440000000022−22−2222−222222−2200000000-4400000000−2222−22220000000000000000000000000000
χ674-44-4-4-44400000000−222222−2222−22−2222000000004-400000000−2222−22220000000000000000000000000000
χ684-44-4-4-44400000000−222222−2222−22−222200000000-440000000022−2222−220000000000000000000000000000
χ694-4-444-4-44400-4-4400000000000000000000000000004-4-440000000000000000000000000000
χ704-4-444-4-44400-4-440000000000000000000000000000-444-40000000000000000000000000000
χ714-4-444-4-44-40044-4004-4-444-4-4400000000000000000000000000000000000000000000000000
χ724-4-444-4-44-40044-400-444-4-444-400000000000000000000000000000000000000000000000000
χ734-4-44-444-4-44-4-4444-4000000000000-4400000000000000000000000000000000000000000000
χ744-4-44-444-4-4-44-444-440000000000004-400000000000000000000000000000000000000000000

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