Finite Group Databasebeta

← Group #72262493

Character table — Group #72262493

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11222448816161616161616161616161616163232323232323232323232326464646464646464646464646464128128128128
order12222222222222224444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111
χ5111111111111-1-11111-1-1111111-1-11111111-1-111-1-1111111-1-1-1-1-1-1
χ6111111111111-1-11111-1-1111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-11111
χ8111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1
χ9111111111-1-1-11-1-1-1111-111-11111-111-1-1-1-1-11-1i−ii−iii−i−ii−ii−i1-1i−i
χ10111111111-1-1-11-1-1-1111-111-11111-111-1-1-1-1-11-1−ii−ii−i−iii−ii−ii1-1−ii
χ11111111111-1-1-11-1-1-1111-111-11-1-11-1-1-11111-11-1i−ii−i−i−iiii−ii−i-11−ii
χ12111111111-1-1-11-1-1-1111-111-11-1-11-1-1-11111-11-1−ii−iiii−i−i−ii−ii-11i−i
χ13111111111-1-1-1-11-1-111-1111-1111-1111-1-1-1-1-1-11i−i−iiii−i−ii−i−ii-11−ii
χ14111111111-1-1-1-11-1-111-1111-1111-1111-1-1-1-1-1-11−iii−i−i−iii−iii−i-11i−i
χ15111111111-1-1-1-11-1-111-1111-11-1-1-11-1-11111-1-11i−i−ii−i−iiii−i−ii1-1i−i
χ16111111111-1-1-1-11-1-111-1111-11-1-1-11-1-11111-1-11−iii−iii−i−i−iii−i1-1−ii
χ17222222222222002-22200-2-2-2-20000000000-200002i−2i000000−2i2i0000
χ18222222222222002-22200-2-2-2-20000000000-20000−2i2i0000002i−2i0000
χ1922222222222-200-2-2-2-200-2-2-2200000000002002i−2i000000−2i2i000000
χ2022222222222-200-2-2-2-200-2-2-220000000000200−2i2i0000002i−2i000000
χ2122222222222-222-22-2-222222-20022000000-2-2-20000000000000000
χ2222222222222-2-2-2-22-2-2-2-2222-200-2-2000000-2220000000000000000
χ23222222222-2-220022-2-200-2-2220000000000-20022000000-2-2000000
χ24222222222-2-220022-2-200-2-2220000000000-200-2-200000022000000
χ25222222222-2-222-22-2-2-22-222-2-2002-20000002-220000000000000000
χ26222222222-2-22-222-2-2-2-2222-2-200-2200000022-20000000000000000
χ27222222222-2-2-200-222200-2-22-200000000002000022000000-2-20000
χ28222222222-2-2-200-222200-2-22-2000000000020000-2-2000000220000
χ294444444-4-40000004000000-402200-2-222-2-20000000000000000000
χ304444444-4-40000004000000-40-2-20022-2-2220000000000000000000
χ314444444-4-4000000-4000000402200-2-2-2-2220000000000000000000
χ324444444-4-4000000-400000040-2-2002222-2-20000000000000000000
χ3344444-4-4-44000040000044-400000-40000000000000000000000000
χ3444444-4-4-440000-400000-44-40000040000000000000000000000000
χ3544444-4-4-4400040000040-440000-400000000000000000000000000
χ3644444-4-4-44000-400000-40-440000400000000000000000000000000
χ3788888-8-88-800000000000000000000000000000000000000000000
χ38888-8-8000000000004-4000000000000004i−4i0000000000000000000
χ39888-8-8000000000004-400000000000000−4i4i0000000000000000000
χ40888-8-800000000000-440000000000004i−4i000000000000000000000
χ41888-8-800000000000-44000000000000−4i4i000000000000000000000
χ4288-88-8000000400-4000000000000000000000000002i−2i2i−2i00000000
χ4388-88-8000000400-400000000000000000000000000−2i2i−2i2i00000000
χ4488-88-8000000-4004000000000000000000000000002-2-2200000000
χ4588-88-8000000-400400000000000000000000000000-222-200000000
χ4688-8-8800004-40440000-4-4000000000000000000000000000000000
χ4788-8-8800004-40-4-4000044000000000000000000000000000000000
χ4888-8-880000-4404-40000-44000000000000000000000000000000000
χ4988-8-880000-440-4400004-4000000000000000000000000000000000
χ5016-160008-8000000000000000004i−4i000000000000000000000000000
χ5116-160008-800000000000000000−4i4i000000000000000000000000000
χ5216-16000-880000000000000000000004-400000000000000000000000
χ5316-16000-88000000000000000000000-4400000000000000000000000

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