Finite Group Databasebeta

← Group #512159

Character table — Group #512159

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12442444442224442244444444488888888888888882488444888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ51111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-11-1
χ61111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-11
χ71111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-11
χ81111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1
χ911111-1-1-1-111111111-11-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11
χ1011111-1-1-1-111111111-11-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1111-1
χ1111111-1-1-1-111111111-11-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-11-11-11-1
χ1211111-1-1-1-111111111-11-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-11-11-11
χ1311111-1-1-1-11111111-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1
χ1411111-1-1-1-11111111-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111
χ1511111-1-1-1-11111111-11-11-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1111
χ1611111-1-1-1-11111111-11-11-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1
χ1722222222222-2-22-2-200002-2-20000000022-2-20000-2-2220000000000
χ1822222222222-2-22-2-200002-2-200000000-2-222000022-2-20000000000
χ192222222222-22-2-22-20000-22-2000022-2-20000-2-22200000000000000
χ202222222222-22-2-22-20000-22-20000-2-222000022-2-200000000000000
χ212222222222-2-22-2-222-22-2-2-22-2-22200000000000000000000000000
χ222222222222-2-22-2-22-22-22-2-2222-2-200000000000000000000000000
χ2322222-2-2-2-222-2-22-2-20000-2220000000022220000-2-2-2-20000000000
χ2422222-2-2-2-222-2-22-2-20000-22200000000-2-2-2-2000022220000000000
χ2522222-2-2-2-22-22-2-22-200002-22000022220000-2-2-2-200000000000000
χ2622222-2-2-2-22-22-2-22-200002-220000-2-2-2-20000222200000000000000
χ2722222-2-2-2-22-2-22-2-22222222-2-2-2-2-200000000000000000000000000
χ2822222-2-2-2-22-2-22-2-22-2-2-2-222-2222200000000000000000000000000
χ2922-2-220000-222-2-2-22020-2000002-2002i−2i2i−2i00002i−2i2i−2i000000000000
χ3022-2-220000-222-2-2-22020-2000002-200−2i2i−2i2i0000−2i2i−2i2i000000000000
χ3122-2-220000-222-2-2-220-20200000-22002i−2i−2i2i00002i−2i−2i2i000000000000
χ3222-2-220000-222-2-2-220-20200000-2200−2i2i2i−2i0000−2i2i2i−2i000000000000
χ3322-2-220000-22-22-22-220-200002-2002i−2i002i−2i002i−2i00−2i2i000000000000
χ3422-2-220000-22-22-22-220-200002-200−2i2i00−2i2i00−2i2i002i−2i000000000000
χ3522-2-220000-22-22-22-2-2020000-22002i−2i00−2i2i002i−2i002i−2i000000000000
χ3622-2-220000-22-22-22-2-2020000-2200−2i2i002i−2i00−2i2i00−2i2i000000000000
χ3722-2-220000-2-2222-2-220-20000-2200002i−2i002i−2i00−2i2i002i−2i0000000000
χ3822-2-220000-2-2222-2-220-20000-220000−2i2i00−2i2i002i−2i00−2i2i0000000000
χ3922-2-220000-2-2222-2-2-20200002-200002i−2i00−2i2i00−2i2i00−2i2i0000000000
χ4022-2-220000-2-2222-2-2-20200002-20000−2i2i002i−2i002i−2i002i−2i0000000000
χ4122-2-220000-2-2-2-2222020-200000-222i−2i0000−2i2i−2i2i00002i−2i0000000000
χ4222-2-220000-2-2-2-2222020-200000-22−2i2i00002i−2i2i−2i0000−2i2i0000000000
χ4322-2-220000-2-2-2-22220-202000002-22i−2i00002i−2i−2i2i0000−2i2i0000000000
χ4422-2-220000-2-2-2-22220-202000002-2−2i2i0000−2i2i2i−2i00002i−2i0000000000
χ4544-4-4-44i4i−4i−4i40000000000000000000000000000000002-22i−2i000000
χ4644-4-4-44i4i−4i−4i4000000000000000000000000000000000-22−2i2i000000
χ4744-4-4-4−4i−4i4i4i40000000000000000000000000000000002-2−2i2i000000
χ4844-4-4-4−4i−4i4i4i4000000000000000000000000000000000-222i−2i000000
χ498888-80000-80000000000000000000000000000000000000000000
χ508-88i−8i04+4i−4−4i4−4i−4+4i00000000000000000000000000000000000000000000
χ518-88i−8i0−4−4i4+4i−4+4i4−4i00000000000000000000000000000000000000000000
χ528-8−8i8i04−4i−4+4i4+4i−4−4i00000000000000000000000000000000000000000000
χ538-8−8i8i0−4+4i4−4i−4−4i4+4i00000000000000000000000000000000000000000000

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