Finite Group Databasebeta

← Group #281142

Character table — Group #281142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888822444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-111-1-11-1
χ91111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111111-1-1
χ111111111111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1111-1-1111-1
χ17222222222-2-22-2-2220000-2-22222-2-2-2-200222200000000000000000000-200-200000000
χ18222222222-2-22-2-2220000-2-22222-2-2-2-200-2-2-2-200000000000000000000200200000000
χ19222222222-2-22-2-2220000-2-2-2-2-2-222220022-2-200000000000000000000-200200000000
χ20222222222-2-22-2-2220000-2-2-2-2-2-2222200-2-22200000000000000000000200-200000000
χ2122222222-222-222-2-22222-2-200000000220000-2-2-2-222-2-2000000000000000000000000
χ2222222222-222-222-2-22222-2-200000000-2-2000022-2-2-2-222000000000000000000000000
χ2322222222-222-222-2-2-2-2-2-2-2-200000000220000-2-222-2-222000000000000000000000000
χ2422222222-222-222-2-2-2-2-2-2-2-200000000-2-20000222222-2-2000000000000000000000000
χ25222-2-2-2-2202-202-20022-2-200i2i2−i2−i2i2i2−i2−i20000002i−2i00002i−2ii2i2−i2−i222−2−222−2−2000000000000
χ26222-2-2-2-2202-202-20022-2-200i2i2−i2−i2i2i2−i2−i2000000−2i2i0000−2i2ii2i2−i2−i2−2−222−2−222000000000000
χ27222-2-2-2-2202-202-20022-2-200−i2−i2i2i2−i2−i2i2i20000002i−2i00002i−2i−i2−i2i2i2−2−222−2−222000000000000
χ28222-2-2-2-2202-202-20022-2-200−i2−i2i2i2−i2−i2i2i2000000−2i2i0000−2i2i−i2−i2i2i222−2−222−2−2000000000000
χ29222-2-2-2-2202-202-200-2-22200i2i2−i2−i2i2i2−i2−i20000002i−2i0000−2i2i−i2−i2i2i222−2−2−2−222000000000000
χ30222-2-2-2-2202-202-200-2-22200i2i2−i2−i2i2i2−i2−i2000000−2i2i00002i−2i−i2−i2i2i2−2−22222−2−2000000000000
χ31222-2-2-2-2202-202-200-2-22200−i2−i2i2i2−i2−i2i2i20000002i−2i0000−2i2ii2i2−i2−i2−2−22222−2−2000000000000
χ32222-2-2-2-2202-202-200-2-22200−i2−i2i2i2−i2−i2i2i2000000−2i2i00002i−2ii2i2−i2−i222−2−2−2−222000000000000
χ332-222-22-2-22-2-2-2222-22i−2i2i−2i-2200000000000000002i−2i000000002i−2i2i−2i2-22-2000000000000
χ342-222-22-2-22-2-2-2222-22i−2i2i−2i-2200000000000000002i−2i00000000−2i2i−2i2i-22-22000000000000
χ352-222-22-2-22-2-2-2222-2−2i2i−2i2i-220000000000000000−2i2i000000002i−2i2i−2i-22-22000000000000
χ362-222-22-2-22-2-2-2222-2−2i2i−2i2i-220000000000000000−2i2i00000000−2i2i−2i2i2-22-2000000000000
χ372-222-22-2-2-2222-2-2-220000-222-22-22-22-20000000000000000000000000002i−2i02i−2i000000
χ382-222-22-2-2-2222-2-2-220000-222-22-22-22-2000000000000000000000000000−2i2i0−2i2i000000
χ392-222-22-2-2-2222-2-2-220000-22-22-22-22-220000000000000000000000000002i−2i0−2i2i000000
χ402-222-22-2-2-2222-2-2-220000-22-22-22-22-22000000000000000000000000000−2i2i02i−2i000000
χ412-222-22-2-2-2-2-2222-222i−2i2i−2i2-22-22-2-22-2200000000−2i2i00002i−2i2i−2i00000000000000000000
χ422-222-22-2-2-2-2-2222-222i−2i2i−2i2-2-22-222-22-200000000−2i2i0000−2i2i−2i2i00000000000000000000
χ432-222-22-2-2-2-2-2222-22−2i2i−2i2i2-22-22-2-22-22000000002i−2i0000−2i2i−2i2i00000000000000000000
χ442-222-22-2-2-2-2-2222-22−2i2i−2i2i2-2-22-222-22-2000000002i−2i00002i−2i2i−2i00000000000000000000
χ452-22-22-22-20-2202-2002i−2i−2i2i00i2−i2−i2i2−i2i2i2−i22-2000000002i−2i00−222−2i2−i2−i2i22−2−22000000000000
χ462-22-22-22-20-2202-2002i−2i−2i2i00i2−i2−i2i2−i2i2i2−i2-2200000000−2i2i00−222−2−i2i2i2−i2−222−2000000000000
χ472-22-22-22-20-2202-2002i−2i−2i2i00−i2i2i2−i2i2−i2−i2i22-2000000002i−2i002−2−22−i2i2i2−i2−222−2000000000000
χ482-22-22-22-20-2202-2002i−2i−2i2i00−i2i2i2−i2i2−i2−i2i2-2200000000−2i2i002−2−22i2−i2−i2i22−2−22000000000000
χ492-22-22-22-20-2202-200−2i2i2i−2i00i2−i2−i2i2−i2i2i2−i22-200000000−2i2i002−2−22i2−i2−i2i2−222−2000000000000
χ502-22-22-22-20-2202-200−2i2i2i−2i00i2−i2−i2i2−i2i2i2−i2-22000000002i−2i002−2−22−i2i2i2−i22−2−22000000000000
χ512-22-22-22-20-2202-200−2i2i2i−2i00−i2i2i2−i2i2−i2−i2i22-200000000−2i2i00−222−2−i2i2i2−i22−2−22000000000000
χ522-22-22-22-20-2202-200−2i2i2i−2i00−i2i2i2−i2i2−i2−i2i2-22000000002i−2i00−222−2i2−i2−i2i2−222−2000000000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ54444-4-4-4-440-440-44000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ55444-4-4-4-440-440-4400000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ5644-4-4-444-4400-400-440000000000000000000000000000000000000000000000002i2−2i200
χ5744-4-4-444-4400-400-44000000000000000000000000000000000000000000000000−2i22i200
χ5844-4-4-444-4-4004004-40000000000000000004i−4i00000000000000000000000000000000
χ5944-4-4-444-4-4004004-4000000000000000000−4i4i00000000000000000000000000000000
χ604-444-44-4-4444-4-4-44-400004-40000000000000000000000000000000000000000000000
χ614-44-44-44-404-40-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ624-44-44-44-404-40-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ634-4-4-444-44400400-4-400000000000000004i−4i0000000000000000000000000000000000
χ644-4-4-444-44400400-4-40000000000000000−4i4i0000000000000000000000000000000000
χ654-4-4-444-44-400-40044000000000000000000000000000000000000000000000022−220000
χ664-4-4-444-44-400-400440000000000000000000000000000000000000000000000−22220000
χ6788-888-8-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-88-8-888000000000000000000000000000000000000000000000000000000000000

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