Finite Group Databasebeta

← Group #72283837

Character table — Group #72283837

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size1122244444444888888888161616161616161616161616161616161632323232323232323232323264646464
order122442224448844444488822222444444448888288816161616161616164488
χ11111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1111111111-111-1-1-1-1-1-1111-1-11-1-1-111111111-1-1-1-1
χ411111111111111-1-1111111111-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1111111-1-1-11111-11111111-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ611111111111-1-1111111-1-1-11111-11111111-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ711111111111-1-11-1-1111-1-1-1111-1-11-1-1-1-1-1-1-1-1-111-1111ii−i−iii−i−i−ii−ii
χ811111111111-1-11-1-1111-1-1-1111-1-11-1-1-1-1-1-1-1-1-111-1111−i−iii−i−iiii−ii−i
χ9111111-1-111111-1111-1-11111-1-1111-1-111-1-11-1-111-11-1-11111-1-1-1-111-1-1
χ10111111-1-111111-1111-1-11111-1-1111-1-111-1-11-1-111-11-1-1-1-1-1-11111-1-111
χ11111111-1-111111-1-1-11-1-11111-1-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ12111111-1-111111-1-1-11-1-11111-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ13111111-1-1111-1-1-1111-1-1-1-1-11-1-11-11-1-111-1-1-111-1-11-111ii−i−i−i−iiii−i−ii
χ14111111-1-1111-1-1-1111-1-1-1-1-11-1-11-11-1-111-1-1-111-1-11-111−i−iiiii−i−i−iii−i
χ15111111-1-1111-1-1-1-1-11-1-1-1-1-11-1-1-1-1111-1-111-1111111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1111-1-1-1-1-11-1-1-1-1-11-1-1-1-1111-1-111-1111111-1-1−i−iiiii−i−ii−i−ii
χ172222222222222200222222-2-2-20-2-2000000-22200-2000000000000000
χ1822222222222-2-2200222-2-2-2-2-2-202-20000002-2-2002000000000000000
χ19222222-2-222222-2002-2-2222-2220-2-2000000-2-2-2002000000000000000
χ20222222-2-2222-2-2-2002-2-2-2-2-2-22202-200000022200-2000000000000000
χ21222-2-2-20022222000-2002-2-2-2000-222-2002-220000002-2000000000000
χ22222-2-2-20022222000-2002-2-2-2000-22-2200-222000000-22000000000000
χ23222-2-2-20022222022-2002-2-2200-22-2002-200-200220-200000000000000
χ24222-2-2-200222220-2-2-2002-2-220022-200-2200-200-2-20200000000000000
χ25222-2-2-200222-2-2000-200-222-2000222-2002-2-2000000-22000000000000
χ26222-2-2-200222-2-2000-200-222-200022-2200-22-20000002-2000000000000
χ27222-2-2-200222-2-2022-200-222200-2-2-2002-200200-2-20200000000000000
χ28222-2-2-200222-2-20-2-2-200-2222002-2-200-2200200220-200000000000000
χ2944444444-44-400400-4-4-4000000000000000000000000000000000000
χ30444444-4-4-44-400-400-444000000000000000000000000000000000000
χ3144444-4440-4000-42200000000020022-2-2-2-2000000000000000000000
χ3244444-4440-4000-4-2-2000000000-200-2-22222000000000000000000000
χ3344444-4-4-40-4000422000000000200-2-2-2-222000000000000000000000
χ3444444-4-4-40-40004-2-2000000000-2002222-2-2000000000000000000000
χ35444-4-44000-400002204-4000000-2002-2-22-22000000000000000000000
χ36444-4-44000-40000220-44000000-200-22-222-2000000000000000000000
χ37444-4-44000-40000-2-204-4000000200-222-22-2000000000000000000000
χ38444-4-44000-40000-2-20-440000002002-22-2-22000000000000000000000
χ39444-4-4-400-44-40000040000004-4000000000000000000000000000000
χ40444-4-4-400-44-4000004000000-44000000000000000000000000000000
χ4144-44-404-400022000000-2-2200000000000002-20000002−22−22−22−20000
χ4244-44-404-400022000000-2-2200000000000002-2000000−22−22−22−220000
χ4344-44-404-4000-2-200000022-20000000000000-22000000i2−i2−i2i2i2−i2−i2i20000
χ4444-44-404-4000-2-200000022-20000000000000-22000000−i2i2i2−i2−i2i2i2−i20000
χ4544-44-40-4400022000000-2-220000000000000-220000002−22−2−22−220000
χ4644-44-40-4400022000000-2-220000000000000-22000000−22−222−22−20000
χ4744-44-40-44000-2-200000022-200000000000002-2000000i2−i2−i2i2−i2i2i2−i20000
χ4844-44-40-44000-2-200000022-200000000000002-2000000−i2i2i2−i2i2−i2−i2i20000
χ4988-8-8800000044000000-44-4000000000000000000000000000000000
χ5088-8-88000000-4-40000004-44000000000000000000000000000000000
χ518-800000040-442−4204i−4i0000000000000000000002i2−2i20000000000000000
χ528-800000040-442−420−4i4i000000000000000000000−2i22i20000000000000000
χ538-800000040-4−424204i−4i000000000000000000000−2i22i20000000000000000
χ548-800000040-4−42420−4i4i0000000000000000000002i2−2i20000000000000000
χ5516-16000000-80800000000000000000000000000000000000000000000

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