Finite Group Databasebeta

← Group #23621

Character table — Group #23621

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1122222228888888888888811222222288888888888888
order1222244444488888888888822222444444888888888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1
χ411111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111
χ5111111111-1-111-1-111-1-111-1-1111111111-1-111-1-111-1-111-1-1
χ6111111111-1-111-1-1-1-111-1-111111111111-1-111-1-1-1-111-1-111
χ7111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-111
χ8111111111-1-1-1-111-1-11111-1-1111111111-1-1-1-111-1-11111-1-1
χ922222-2-2-2-22-200000000000022222-2-2-2-22-2000000000000
χ1022222-2-2-2-2-2200000000000022222-2-2-2-2-22000000000000
χ11222-2-222-2-20000000000002i−2i222-2-222-2-20000000000002i−2i
χ12222-2-222-2-2000000000000−2i2i222-2-222-2-2000000000000−2i2i
χ13222-2-2-2-22200000000002-200222-2-2-2-22200000000002-200
χ14222-2-2-2-2220000000000-2200222-2-2-2-2220000000000-2200
χ1522-22-22-22-2000000002i−2i000022-22-22-22-2000000002i−2i0000
χ1622-22-22-22-200000000−2i2i000022-22-22-22-200000000−2i2i0000
χ1722-22-2-22-220000002-200000022-22-2-22-220000002-2000000
χ1822-22-2-22-22000000-2200000022-22-2-22-22000000-22000000
χ1922-2-222-2-22002i−2i000000000022-2-222-2-22002i−2i0000000000
χ2022-2-222-2-2200−2i2i000000000022-2-222-2-2200−2i2i0000000000
χ2122-2-22-222-200002-20000000022-2-22-222-200002-200000000
χ2222-2-22-222-20000-220000000022-2-22-222-20000-2200000000
χ238-80000000000000000000008-8000000000000000000000
χ2411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ25111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ2611111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ2711111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ28111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ29111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ30111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ31111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ3222222-2-2-2-22-2000000000000-2-2-2-2-22222-22000000000000
χ3322222-2-2-2-2-22000000000000-2-2-2-2-222222-2000000000000
χ34222-2-222-2-20000000000002i−2i-2-2-222-2-222000000000000−2i2i
χ35222-2-222-2-2000000000000−2i2i-2-2-222-2-2220000000000002i−2i
χ36222-2-2-2-22200000000002-200-2-2-22222-2-20000000000-2200
χ37222-2-2-2-2220000000000-2200-2-2-22222-2-200000000002-200
χ3822-22-22-22-2000000002i−2i0000-2-22-22-22-2200000000−2i2i0000
χ3922-22-22-22-200000000−2i2i0000-2-22-22-22-22000000002i−2i0000
χ4022-22-2-22-220000002-2000000-2-22-222-22-2000000-22000000
χ4122-22-2-22-22000000-22000000-2-22-222-22-20000002-2000000
χ4222-2-222-2-22002i−2i0000000000-2-222-2-222-200−2i2i0000000000
χ4322-2-222-2-2200−2i2i0000000000-2-222-2-222-2002i−2i0000000000
χ4422-2-22-222-200002-200000000-2-222-22-2-220000-2200000000
χ4522-2-22-222-20000-2200000000-2-222-22-2-2200002-200000000
χ468-8000000000000000000000-88000000000000000000000

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