Finite Group Databasebeta

← Group #72252412

Character table — Group #72252412

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1124448888888888888816161616161616161616326464646464646464646464646464646464646464646464128128
order12222222222222444444222244444424444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1iiii−i−i−i−iii−i−ii−i
χ61111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1−i−i−i−iiiii−i−iii−ii
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111iiii−i−i−i−i−i−iii−ii
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111−i−i−i−iiiiiii−i−ii−i
χ91111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−iii−i−i11-1-111-1-1ii−i−i−ii
χ101111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−iii−i−i-1-111-1-111−i−iiii−i
χ111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii−i−iii11-1-111-1-1−i−iiii−i
χ121111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii−i−iii-1-111-1-111ii−i−i−ii
χ131111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-111
χ141111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i1111-1-1
χ151111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii1111-1-1
χ161111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111
χ172222222222222222222222222222-2-2-2-2-2-20000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-2222-2-220000000000000000000000
χ192222222222-2-2-2-222222222-2-2-2-2-2-2222-22-20000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-222-2-222-2-2-2-2220000000000000000000000
χ2144444444-4-40000-4-444-4-44-40000000000000000000000000000000000
χ2244444444-4-40000-4-4-4-444-440000000000000000000000000000000000
χ23444444-4-44444-4-4-4-4000000004-4000000000000000000000000000000
χ24444444-4-444-4-444-4-400000000-44000000000000000000000000000000
χ25444444-4-4-4-400004400000000000044-40000000000000000000000000
χ26444444-4-4-4-4000044000000000000-4-440000000000000000000000000
χ274444-4-4004-4004400000000000-4000000002-22-2000000000000000000
χ284444-4-4004-4004400000000000-400000000-22-22000000000000000000
χ294444-4-4004-400-4-4000000000004000000002i−2i−2i2i000000000000000000
χ304444-4-4004-400-4-400000000000400000000−2i2i2i−2i000000000000000000
χ314444-4-400-4444000000000000-400000000000002-22-200000000000000
χ324444-4-400-4444000000000000-40000000000000-22-2200000000000000
χ334444-4-400-44-4-4000000000000400000000000002i−2i−2i2i00000000000000
χ344444-4-400-44-4-400000000000040000000000000−2i2i2i−2i00000000000000
χ35444-44-44-40000000000440-4000000000000000000002-2002-200000000
χ36444-44-44-40000000000440-400000000000000000000-2200-2200000000
χ37444-44-44-40000000000-4-404000000000000000000002i−2i00−2i2i00000000
χ38444-44-44-40000000000-4-40400000000000000000000−2i2i002i−2i00000000
χ39444-44-4-44000000004400-4000000000000000000000002-2002-2000000
χ40444-44-4-44000000004400-400000000000000000000000-2200-22000000
χ41444-44-4-4400000000-4-4004000000000000000000000002i−2i00−2i2i000000
χ42444-44-4-4400000000-4-400400000000000000000000000−2i2i002i−2i000000
χ43888-8-8800000000000000004400-4-40000000000000000000000000000
χ44888-8-880000000000000000-4-400440000000000000000000000000000
χ4588-800000004-44-44-44-44-40000004-40000000000000000000000000000
χ4688-800000004-44-44-4-44-44000000-440000000000000000000000000000
χ4788-800000004-4-44-444-4-44004-400000000000000000000000000000000
χ4888-800000004-4-44-44-444-400-4400000000000000000000000000000000
χ4988-80000000-444-4-444-4-4400-4400000000000000000000000000000000
χ5088-80000000-444-4-44-444-4004-400000000000000000000000000000000
χ5188-80000000-44-444-44-44-4000000-440000000000000000000000000000
χ5288-80000000-44-444-4-44-440000004-40000000000000000000000000000
χ5316-16000000000000000000000000004-4000000000000000000002i−2i2i−2i00
χ5416-16000000000000000000000000004-400000000000000000000−2i2i−2i2i00
χ5516-1600000000000000000000000000-44000000000000000000002-2-2200
χ5616-1600000000000000000000000000-4400000000000000000000-222-200

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