Finite Group Databasebeta

← Group #103100

Character table — Group #103100

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444444444444444444448888888888888888161616161616161632323232
order12222222444444444444444444444488888888888888888888888888888888444488884444
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
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ92222222222222-2-2-2-2-2-222-2-2222-2-2-2-20000000000000000000000002222-2-2-2-2000000000000
χ102222222222222-2-2-2-2-2-222-2-2222-2-2-2-2000000000000000000000000-2-2-2-22222000000000000
χ1122222222222-2-222-2-2-2-2-2-2222-2-222-2-200000000000000002222-2-2-2-200000000000000000000
χ1222222222222-2-222-2-2-2-2-2-2222-2-222-2-20000000000000000-2-2-2-2222200000000000000000000
χ1322222222222-2-2-2-22222-2-2-2-22-2-2-2-22222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ1422222222222-2-2-2-22222-2-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ1522222222-2-2-2222222222222-2-2-2-2-2-2-20000000000000000000000000000000022-2-200000000
χ1622222222-2-2-2222222222222-2-2-2-2-2-2-200000000000000000000000000000000-2-22200000000
χ1722222222-2-2-222-2-2-2-2-2-222-2-2-2-2-222220000000000000000000000000000000000000000002-2
χ1822222222-2-2-222-2-2-2-2-2-222-2-2-2-2-22222000000000000000000000000000000000000000000-22
χ1922222222-2-2-2-2-222-2-2-2-2-2-222-222-2-22200000000000000000000000000000000000000002-200
χ2022222222-2-2-2-2-222-2-2-2-2-2-222-222-2-2220000000000000000000000000000000000000000-2200
χ2122222222-2-2-2-2-2-2-22222-2-2-2-2-22222-2-20000000000000000000000000000000000002i2i−2i−2i0000
χ2222222222-2-2-2-2-2-2-22222-2-2-2-2-22222-2-2000000000000000000000000000000000000−2i−2i2i2i0000
χ232222-2-2-2-222-22-20000002-200-22-200002222−2−2−2−22222−2−2−2−222−2−222−2−2000022-2-2000000000000
χ242222-2-2-2-222-22-20000002-200-22-200002222−2−2−2−22222−2−2−2−2−2−222−2−2220000-2-222000000000000
χ252222-2-2-2-222-22-20000002-200-22-20000−2−2−2−22222−2−2−2−2222222−2−222−2−20000-2-222000000000000
χ262222-2-2-2-222-22-20000002-200-22-20000−2−2−2−22222−2−2−2−22222−2−222−2−222000022-2-2000000000000
χ272222-2-2-2-222-2-22000000-2200-2-2200002222−2−2−2−2−2−2−2−2222222−2−2−2−22222-2-20000000000000000
χ282222-2-2-2-222-2-22000000-2200-2-2200002222−2−2−2−2−2−2−2−22222−2−22222−2−2-2-2220000000000000000
χ292222-2-2-2-222-2-22000000-2200-2-220000−2−2−2−222222222−2−2−2−222−2−2−2−222-2-2220000000000000000
χ302222-2-2-2-222-2-22000000-2200-2-220000−2−2−2−222222222−2−2−2−2−2−22222−2−222-2-20000000000000000
χ3122-2-22-22-22-2-2000022-2-20000200002-2000000002i2i−2i−2i2i2i−2i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ3222-2-22-22-22-2-2000022-2-20000200002-2000000002i2i−2i−2i2i2i−2i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ3322-2-22-22-22-2-2000022-2-20000200002-200000000−2i−2i2i2i−2i−2i2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ3422-2-22-22-22-2-2000022-2-20000200002-200000000−2i−2i2i2i−2i−2i2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ3522-2-22-22-22-2-20000-2-222000020000-222i2i−2i−2i2i2i−2i−2i00000000i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ3622-2-22-22-22-2-20000-2-222000020000-222i2i−2i−2i2i2i−2i−2i00000000−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ3722-2-22-22-22-2-20000-2-222000020000-22−2i−2i2i2i−2i−2i2i2i00000000i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ3822-2-22-22-22-2-20000-2-222000020000-22−2i−2i2i2i−2i−2i2i2i00000000−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ3922-2-2-22-222-22002-20000002-2-2002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200002i−2i−2i2i2−2−222−2−22000000000000
χ4022-2-2-22-222-22002-20000002-2-2002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000−2i2i2i−2i−222−2−222−2000000000000
χ4122-2-2-22-222-22002-20000002-2-2002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200002i−2i−2i2i−222−2−222−2000000000000
χ4222-2-2-22-222-22002-20000002-2-2002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000−2i2i2i−2i2−2−222−2−22000000000000
χ4322-2-2-22-222-2200-22000000-22-200-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i00002−2−22−222−2000000000000
χ4422-2-2-22-222-2200-22000000-22-200-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i0000−222−22−2−22000000000000
χ4522-2-2-22-222-2200-22000000-22-200-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22i−2i−2i2i0000−222−22−2−22000000000000
χ4622-2-2-22-222-2200-22000000-22-200-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i00002−2−22−222−2000000000000
χ472-22-2-222-200022-2-22-22-2-2-2220000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000002-200i2−i2i2−i20000
χ482-22-2-222-200022-2-22-22-2-2-2220000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000-2200−i2i2−i2i20000
χ492-22-2-222-200022-2-22-22-2-2-2220000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000002-200−i2i2−i2i20000
χ502-22-2-222-200022-2-22-22-2-2-2220000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000-2200i2−i2i2−i20000
χ512-22-2-222-2000-2-2222-22-222-2-20000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000002i−2i2−2−220000
χ522-22-2-222-2000-2-2222-22-222-2-20000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000−2i2i−222−20000
χ532-22-2-222-2000-2-2222-22-222-2-20000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000002i−2i−222−20000
χ542-22-2-222-2000-2-2222-22-222-2-20000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000−2i2i2−2−220000
χ554444-4-4-4-4-4-444-40000004-4004-44000000000000000000000000000000000000000000000000
χ564444-4-4-4-4-4-44-44000000-440044-4000000000000000000000000000000000000000000000000
χ5744-4-44-44-4-444000044-4-40000-40000-4400000000000000000000000000000000000000000000
χ5844-4-44-44-4-4440000-4-4440000-400004-400000000000000000000000000000000000000000000
χ5944-4-4-44-44-44-4004-40000004-4400-440000000000000000000000000000000000000000000000
χ6044-4-4-44-44-44-400-44000000-444004-40000000000000000000000000000000000000000000000
χ614-44-44-4-440004-4000000-440000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ624-44-44-4-440004-4000000-44000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ634-44-44-4-44000-440000004-40000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ644-44-44-4-44000-440000004-4000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ654-44-4-444-40004444-44-44-4-4-4-4000000000000000000000000000000000000000000000000000
χ664-44-4-444-4000-4-4-4-4-44-444444000000000000000000000000000000000000000000000000000
χ674-4-4444-4-4000004-4000000-4400000002-2-22-222-2-222-22-2-220000000000000000000000000000
χ684-4-4444-4-4000004-4000000-440000000-222-22-2-222-2-22-222-20000000000000000000000000000
χ694-4-4444-4-400000-440000004-400000002-2-22-222-22-2-22-222-20000000000000000000000000000
χ704-4-4444-4-400000-440000004-40000000-222-22-2-22-222-22-2-220000000000000000000000000000
χ714-4-44-4-44400000004-4-44000000000000000000022−22−222222−22−22220000000000000000000000000000
χ724-4-44-4-44400000004-4-440000000000000000000−222222−22−222222−220000000000000000000000000000
χ734-4-44-4-4440000000-444-40000000000022−22−222222−22−2222000000000000000000000000000000000000
χ744-4-44-4-4440000000-444-400000000000−222222−22−222222−22000000000000000000000000000000000000

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