Finite Group Databasebeta

← Group #72262533

Character table — Group #72262533

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11222448816161616161616161616161616161616161632323232323264646464646464646464646464646464128128128128
order12222222222222224444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1-1-11111111-1-11-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-111-1-1111111111-1-111111-1-111-1-111-1-11111-1-1-1-1
χ61111111111111-1-111-1-1111111111-1-111111-1-1-1-111-1-111-1-1-1-1-1-111
χ71111111111111-1-111-1-1-1-1-1-111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-11111
χ81111111111111-1-111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-111-1-111111111-1-1
χ911111111111-1-11-1-1-11-1111111-1-111-111-1-1-11-1i−ii−ii−ii−iii−i−i1-1i−i
χ1011111111111-1-11-1-1-11-1111111-1-111-111-1-1-11-1−ii−ii−ii−ii−i−iii1-1−ii
χ1111111111111-1-11-1-1-11-1-1-1-1-111-1-111-1-1-1-1111-1i−ii−ii−ii−i−i−iii-11−ii
χ1211111111111-1-11-1-1-11-1-1-1-1-111-1-111-1-1-1-1111-1−ii−ii−ii−iiii−i−i-11i−i
χ1311111111111-1-1-11-1-1-11111111-1-11-1111-1-1-1-11i−i−iii−i−iiii−i−i-11−ii
χ1411111111111-1-1-11-1-1-11111111-1-11-1111-1-1-1-11−iii−i−iii−i−i−iii-11i−i
χ1511111111111-1-1-11-1-1-11-1-1-1-111-1-11-11-1-1-111-11i−i−iii−i−ii−i−iii1-1i−i
χ1611111111111-1-1-11-1-1-11-1-1-1-111-1-11-11-1-1-111-11−iii−i−iii−iii−i−i1-1−ii
χ17222222222222200-22000000-2-22-2-20000-20000002i−2i00−2i2i00000000
χ18222222222222200-22000000-2-22-2-20000-2000000−2i2i002i−2i00000000
χ1922222222222-2-2002-2000000-2-2-22-2000020000002200-2-200000000
χ2022222222222-2-2002-2000000-2-2-22-200002000000-2-2002200000000
χ21222222222-2-22200-2-2000000-2-2-2-220000200002i−2i00−2i2i0000000000
χ22222222222-2-22200-2-2000000-2-2-2-22000020000−2i2i002i−2i0000000000
χ23222222222-2-222222-222000022-22-22200-200-2-20000000000000000
χ24222222222-2-222-2-22-2-2-2000022-22-2-2-200-200220000000000000000
χ25222222222-2-2-2-20022000000-2-22220000-200002200-2-20000000000
χ26222222222-2-2-2-20022000000-2-22220000-20000-2-200220000000000
χ27222222222-2-2-2-22-2-222-20000222-2-22-200200-220000000000000000
χ28222222222-2-2-2-2-22-22-220000222-2-2-22002002-20000000000000000
χ294444444-4-400000040002222000-4000-2-20-22000000000000000000
χ304444444-4-40000004000-2-2-2-2000-40002202-2000000000000000000
χ314444444-4-4000000-400022220004000-2-202-2000000000000000000
χ324444444-4-4000000-4000-2-2-2-20004000220-22000000000000000000
χ3344444-4-4-44000004000400004-40000-400000000000000000000000
χ3444444-4-4-4400000-4000-400004-40000400000000000000000000000
χ3544444-4-4-4400004000400000-44000-4000000000000000000000000
χ3644444-4-4-440000-4000-400000-440004000000000000000000000000
χ3788888-8-88-800000000000000000000000000000000000000000000
χ38888-8-800004-400000000000000000004i−4i000000000000000000000
χ39888-8-800004-40000000000000000000−4i4i000000000000000000000
χ40888-8-80000-44000000004i4i−4i−4i000000000000000000000000000000
χ41888-8-80000-4400000000−4i−4i4i4i000000000000000000000000000000
χ4288-88-800000000000400000000-400000000000000000002i−2i2i−2i0000
χ4388-88-800000000000400000000-40000000000000000000−2i2i−2i2i0000
χ4488-88-800000000000-400000000400000000000000000002-2-220000
χ4588-88-800000000000-40000000040000000000000000000-222-20000
χ4688-8-880000004-44400-4-40000000000000000000000000000000000
χ4788-8-880000004-4-4-400440000000000000000000000000000000000
χ4888-8-88000000-444-400-440000000000000000000000000000000000
χ4988-8-88000000-44-44004-40000000000000000000000000000000000
χ5016-160008-80000000000004i−4i4i−4i000000000000000000000000000000
χ5116-160008-8000000000000−4i4i−4i4i000000000000000000000000000000
χ5216-16000-880000000000004-4-44000000000000000000000000000000
χ5316-16000-88000000000000-444-4000000000000000000000000000000

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