Finite Group Databasebeta

← Group #72339084

Character table — Group #72339084

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11244488881616161616161616161616161616163232323232323232326464646464646464646464128128128128128128128128128128128128128128128128256256256
order1222224444222222444444444222444444224444488884444448888888888488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111-1-11111-111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111-1-11111-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1
χ511111111111-1-11-1-111-1-1-1-11111-11-1111-1-1111-111-111-1-1-1-1ii−i−i11iiii−i−i−i−i-1i−i
χ611111111111-1-11-1-111-1-1-1-11111-11-1111-1-1111-111-111-1-1-1-1−i−iii11−i−i−i−iiiii-1−ii
χ711111111111-1-11-1-111-1-1-1-11111-11-1-1-11-1-11-11-1-1-1-111-1-111ii−i−i-1-1−i−i−i−iiiii1i−i
χ811111111111-1-11-1-111-1-1-1-11111-11-1-1-11-1-11-11-1-1-1-111-1-111−i−iii-1-1iiii−i−i−i−i1−ii
χ91111111-1-111111111111-1-11-111-11111-111-111-1111-1-1-1-1111111-1-111-1-111-1-1-1-1-1
χ101111111-1-111111111111-1-11-111-11111-111-111-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111
χ111111111-1-111111111111-1-11-111-111-1-1-111-1-11-1-1-11-1-1-1-1-1-1111111-1-111-1-1111-1-1
χ121111111-1-111111111111-1-11-111-111-1-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111
χ131111111-1-111-1-11-1-111-1-1111-11111-111-1-1-1-111111-1-1-111-1-1ii−i−i-1-1ii−i−i−i−iii1−ii
χ141111111-1-111-1-11-1-111-1-1111-11111-111-1-1-1-111111-1-1-111-1-1−i−iii-1-1−i−iiiii−i−i1i−i
χ151111111-1-111-1-11-1-111-1-1111-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111ii−i−i11−i−iiiii−i−i-1−ii
χ161111111-1-111-1-11-1-111-1-1111-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111−i−iii11ii−i−i−i−iii-1i−i
χ172222222002222222222200-20-220-22000-2-200-2000-2000000000000002i−2i002i−2i000
χ182222222002222222222200-20-220-22000-2-200-2000-200000000000000−2i2i00−2i2i000
χ1922222220022222-2-2-2-22200-20-2-20-2-2000-2-200200020000000000002i−2i002i−2i00000
χ2022222220022222-2-2-2-22200-20-2-20-2-2000-2-20020002000000000000−2i2i00−2i2i00000
χ2122222220022-2-2222-2-2-2-200-20-2-20-2200022002000-20000000000002-200-2200000
χ2222222220022-2-2222-2-2-2-200-20-2-20-2200022002000-2000000000000-22002-200000
χ2322222220022-2-22-2-222-2-200-20-220-2-20002200-20002000000000000002-200-22000
χ2422222220022-2-22-2-222-2-200-20-220-2-20002200-2000200000000000000-22002-2000
χ2522222222222222-2-2-2-22222222-222-20022220-2200-2-2-2-2-20000000000000000000
χ2622222222222-2-2222-2-2-2-2-2-2222-2-222002-2-220-2-2002-2-2220000000000000000000
χ272222222-2-222222-2-2-2-222-2-22-22-2-22-200-222-20-2-200-222220000000000000000000
χ282222222-2-222-2-2222-2-2-2-2222-22-222200-2-2-2-20-2200222-2-20000000000000000000
χ294444444004-400-400000044-40-4044000000000-400000000000000000000000000
χ304444444004-400-4000000-4-4-40-40-44000000000400000000000000000000000000
χ314444444444-400-40000000044400-4000400-400000000000000000000000000000
χ324444444-4-44-400-4000000004-4400-4000-400400000000000000000000000000000
χ33444444-400-4-40040000000000000002204-40200-2-2000002-200000000000000000
χ34444444-400-4-4004000000000000000220-440200-2-200000-2200000000000000000
χ35444444-400-4-4004000000000000000-2-204-40-2002200000-2200000000000000000
χ36444444-400-4-4004000000000000000-2-20-440-20022000002-200000000000000000
χ37888888-800-8800-800000000000000000000000000000000000000000000000000
χ388888-8-80000000044000000000000-40000000000000000002-22-20000000000000
χ398888-8-80000000044000000000000-4000000000000000000-22-220000000000000
χ408888-8-800000000-4-400000000000040000000000000000002i−2i−2i2i0000000000000
χ418888-8-800000000-4-40000000000004000000000000000000−2i2i2i−2i0000000000000
χ42888-88-80000000000440000000-4000440000-40000000000000000000000000000
χ43888-88-80000000000440000000-4000-4-4000040000000000000000000000000000
χ44888-88-80000000000-4-4000000040000000000004-4000000000000000000000000
χ45888-88-80000000000-4-400000004000000000000-44000000000000000000000000
χ46888-8-88044004400000-4-4-4-4040040000-400000000000000000000000000000000
χ47888-8-8804400-4-40000044440400-40000-400000000000000000000000000000000
χ48888-8-880-4-4004400000-4-4440-400-40000400000000000000000000000000000000
χ49888-8-880-4-400-4-40000044-4-40-40040000400000000000000000000000000000000
χ5088-8000-444400004-44-44-44-40-4000000000000000002-22-20000000000000000000
χ5188-8000-444400004-4-44-44-440-400000000000000000-222-20000000000000000000
χ5288-8000-44440000-444-4-44-440-4000000000000000002-2-220000000000000000000
χ5388-8000-44440000-44-444-44-40-400000000000000000-22-220000000000000000000
χ5488-8000-4-4-4400004-44-44-4-440400000000000000000-22-220000000000000000000
χ5588-8000-4-4-4400004-4-44-444-404000000000000000002-2-220000000000000000000
χ5688-8000-4-4-440000-444-4-444-40400000000000000000-222-20000000000000000000
χ5788-8000-4-4-440000-44-444-4-4404000000000000000002-22-20000000000000000000
χ581616-16000800-808-8000000000000000000000000000000000000000000000000000
χ591616-16000800-80-88000000000000000000000000000000000000000000000000000
χ6016-16000008-80000000000000-40400004-4000000000000000000002-200000000000
χ6116-16000008-80000000000000-4040000-4400000000000000000000-2200000000000
χ6216-1600000-880000000000000-40400004-400000000000000000000-2200000000000
χ6316-1600000-880000000000000-4040000-44000000000000000000002-200000000000
χ6432-320000000000000000000080-8000000000000000000000000000000000000000

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