Finite Group Databasebeta

← Group #72284871

Character table — Group #72284871

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size11222444444888888888816161616161616161616161616161616161616161616163232323232646464646464
order1222222444444888888882222224444444448888888844488448888
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111111111111111111-1-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-111-1-1-1-11-1-1-1-1-1-1-1-111111-1-111-1-1
χ41111111111111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111
χ61111111111111-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ71111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111111111111-1-111-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-1111111111-1-1-1-1-1-1-11111
χ91111111-1-1-1-1-1-1iiii−i−i−i−i11-111-11-11-111-1-11iiii−i−i−i−i1-1-1i−ii−ii−i1-1
χ101111111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-11-11-111-1-11iiii−i−i−i−i-111i−i−ii−ii-11
χ111111111-1-1-1-1-1-1iiii−i−i−i−i1-1111-1-111-1-1-1111−i−i−i−iiiii1-1-1i−i−iii−i-11
χ121111111-1-1-1-1-1-1iiii−i−i−i−i1-11-1-1-1-111-1-1-1111−i−i−i−iiiii-111i−ii−i−ii1-1
χ131111111-1-1-1-1-1-1−i−i−i−iiiii11-111-11-11-111-1-11−i−i−i−iiiii1-1-1−ii−ii−ii1-1
χ141111111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-11-11-111-1-11−i−i−i−iiiii-111−iii−ii−i-11
χ151111111-1-1-1-1-1-1−i−i−i−iiiii1-1111-1-111-1-1-1111iiii−i−i−i−i1-1-1−iii−i−ii-11
χ161111111-1-1-1-1-1-1−i−i−i−iiiii1-11-1-1-1-111-1-1-1111iiii−i−i−i−i-111−ii−iii−i1-1
χ17222222222222222222222-20000-2002-20000-200000000000-2-2000000
χ182222222222222-2-2-2-2-2-2-2-2-20000-2002-20000-20000000000022000000
χ1922222222222-2-20000000020000200-2-20000-222-2-222-2-200000000000
χ2022222222222-2-20000000020000200-2-20000-2-2-222-2-22200000000000
χ2122222222222-2-200000000-22200-222-22-2-2-2-220000000000000000000
χ2222222222222-2-200000000-2-2-200-2-2-2-22222220000000000000000000
χ232222222-2-2-2-2220000000020000-200-220000-22i2i−2i−2i−2i−2i2i2i00000000000
χ242222222-2-2-2-2220000000020000-200-220000-2−2i−2i2i2i2i2i−2i−2i00000000000
χ252222222-2-2-2-22200000000-22-20022-2-2-2-2-22220000000000000000000
χ262222222-2-2-2-22200000000-2-22002-22-2-222-2-220000000000000000000
χ272222222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i-20000200220000-200000000000−2i2i000000
χ282222222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i-20000200220000-2000000000002i−2i000000
χ2944444-4-44-44-4000000000000022000000000000000000-22-200000000
χ3044444-4-44-44-40000000000000-2-20000000000000000002-2200000000
χ3144444-4-4-44-44000000000000022000000000000000000-2-2200000000
χ3244444-4-4-44-440000000000000-2-200000000000000000022-200000000
χ33444-4-44-400004i−4i2+2i2+2i−2−2i−2−2i2−2i2−2i−2+2i−2+2i0000000000000000000000000000000000
χ34444-4-44-400004i−4i−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i0000000000000000000000000000000000
χ35444-4-44-40000−4i4i2−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i0000000000000000000000000000000000
χ36444-4-44-40000−4i4i−2+2i−2+2i2−2i2−2i−2−2i−2−2i2+2i2+2i0000000000000000000000000000000000
χ3744-44-400040-4002i−2i2i−2i2i−2i2i−2i02-2000-220000000002i−2i002i−2i00000000000
χ3844-44-400040-4002i−2i2i−2i2i−2i2i−2i0-220002-2000000000−2i2i00−2i2i00000000000
χ3944-44-400040-400−2i2i−2i2i−2i2i−2i2i02-2000-22000000000−2i2i00−2i2i00000000000
χ4044-44-400040-400−2i2i−2i2i−2i2i−2i2i0-220002-20000000002i−2i002i−2i00000000000
χ4144-44-4000-404002-22-2-22-22022000-2-20000000002-200-2200000000000
χ4244-44-4000-404002-22-2-22-220-2-200022000000000-22002-200000000000
χ4344-44-4000-40400-22-222-22-2022000-2-2000000000-22002-200000000000
χ4444-44-4000-40400-22-222-22-20-2-2000220000000002-200-2200000000000
χ4544-4-440040-40002i−2i−2i2i2i−2i−2i2i00000000002-22-202i−2i002i−2i0000000000000
χ4644-4-440040-40002i−2i−2i2i2i−2i−2i2i0000000000-22-220−2i2i00−2i2i0000000000000
χ4744-4-440040-4000−2i2i2i−2i−2i2i2i−2i00000000002-22-20−2i2i00−2i2i0000000000000
χ4844-4-440040-4000−2i2i2i−2i−2i2i2i−2i0000000000-22-2202i−2i002i−2i0000000000000
χ4944-4-4400-4040002-2-22-222-200000000002-2-2202-200-220000000000000
χ5044-4-4400-4040002-2-22-222-20000000000-222-20-22002-20000000000000
χ5144-4-4400-404000-222-22-2-2200000000002-2-220-22002-20000000000000
χ5244-4-4400-404000-222-22-2-220000000000-222-202-200-220000000000000
χ53888-8-8-88000000000000000000000000000000000000000000000000
χ5416-1600000000000000000000004-400000000000000000000000000000
χ5516-160000000000000000000000-4400000000000000000000000000000

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