Finite Group Databasebeta

← Group #72262492

Character table — Group #72262492

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11222448816161616161616161616161616163232323232323232323232326464646464646464646464646464128128128128
order12222222222222224444444224444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-111-1-11111111-1-11111111-1-111-1-111-1-11111-1-1-1-1
χ61111111111111-1-111-1-11111111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-111
χ71111111111111-1-111-1-11111-1-11-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111
χ81111111111111-1-111-1-11111-1-11-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1
χ911111111111-1-11-1-1-11-111-1-11111-111-1-1-1-1-11-1i−ii−ii−ii−iii−i−i1-1i−i
χ1011111111111-1-11-1-1-11-111-1-11111-111-1-1-1-1-11-1−ii−ii−ii−ii−i−iii1-1−ii
χ1111111111111-1-11-1-1-11-111-1-1-1-111-1-1-11111-11-1i−ii−ii−ii−i−i−iii-11−ii
χ1211111111111-1-11-1-1-11-111-1-1-1-111-1-1-11111-11-1−ii−ii−ii−iiii−i−i-11i−i
χ1311111111111-1-1-11-1-1-1111-1-1111-1111-1-1-1-1-1-11i−i−iii−i−iiii−i−i-11−ii
χ1411111111111-1-1-11-1-1-1111-1-1111-1111-1-1-1-1-1-11−iii−i−iii−i−i−iii-11i−i
χ1511111111111-1-1-11-1-1-1111-1-1-1-11-11-1-11111-1-11i−i−iii−i−ii−i−iii1-1i−i
χ1611111111111-1-1-11-1-1-1111-1-1-1-11-11-1-11111-1-11−iii−i−iii−iii−i−i1-1−ii
χ17222222222222200-2200-2-22-200-200000000-200002i−2i00−2i2i00000000
χ18222222222222200-2200-2-22-200-200000000-20000−2i2i002i−2i00000000
χ1922222222222-2-2002-200-2-2-2200-200000000200002200-2-200000000
χ2022222222222-2-2002-200-2-2-2200-20000000020000-2-2002200000000
χ21222222222-2-22200-2-200-2-2-2-2002000000002002i−2i00−2i2i0000000000
χ22222222222-2-22200-2-200-2-2-2-200200000000200−2i2i002i−2i0000000000
χ23222222222-2-222222-22222-2200-222000000-2-2-20000000000000000
χ24222222222-2-222-2-22-2-2-222-2200-2-2-2000000-2220000000000000000
χ25222222222-2-2-2-2002200-2-22200200000000-2002200-2-20000000000
χ26222222222-2-2-2-2002200-2-22200200000000-200-2-200220000000000
χ27222222222-2-2-2-22-2-222-2222-200-22-20000002-220000000000000000
χ28222222222-2-2-2-2-22-22-22222-200-2-2200000022-20000000000000000
χ294444444-4-40000004000000-422000-2-222-2-20000000000000000000
χ304444444-4-40000004000000-4-2-200022-2-2220000000000000000000
χ314444444-4-4000000-4000000422000-2-2-2-2220000000000000000000
χ324444444-4-4000000-40000004-2-20002222-2-20000000000000000000
χ3344444-4-4-4400000400044-4000000-40000000000000000000000000
χ3444444-4-4-4400000-4000-44-400000040000000000000000000000000
χ3544444-4-4-440000400040-4400000-400000000000000000000000000
χ3644444-4-4-440000-4000-40-4400000400000000000000000000000000
χ3788888-8-88-800000000000000000000000000000000000000000000
χ38888-8-80000000000040000-4000000000000000000000002i−2i2i−2i0000
χ39888-8-80000000000040000-400000000000000000000000−2i2i−2i2i0000
χ40888-8-800000000000-400004000000000000000000000002-2-220000
χ41888-8-800000000000-40000400000000000000000000000-222-20000
χ4288-88-80000004-44400-4-40000000000000000000000000000000000
χ4388-88-80000004-4-4-400440000000000000000000000000000000000
χ4488-88-8000000-444-400-440000000000000000000000000000000000
χ4588-88-8000000-44-44004-40000000000000000000000000000000000
χ4688-8-8800004-40000000000000000000004-40000000000000000000
χ4788-8-8800004-4000000000000000000000-440000000000000000000
χ4888-8-880000-4400000000000000000004-4000000000000000000000
χ4988-8-880000-440000000000000000000-44000000000000000000000
χ5016-160008-80000000000000000000004-400000000000000000000000
χ5116-160008-8000000000000000000000-4400000000000000000000000
χ5216-16000-8800000000000000004-40000000000000000000000000000
χ5316-16000-880000000000000000-440000000000000000000000000000

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