Finite Group Databasebeta

← Group #32998

Character table — Group #32998

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222224444442222224444444444444444444444444248888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ611111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ811111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ9111111-1-11111-1-111-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-11-11-11-1
χ10111111-1-11111-1-111-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-11-11-11
χ11111111-1-11111-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-1-11
χ12111111-1-11111-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-111-1
χ13111111-1-11111-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-11-11
χ14111111-1-11111-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111-1-111-111-11-1
χ15111111-1-11111-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1-111-1-1-11-111-1
χ16111111-1-11111-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1-1-1-1111-11-1-11
χ1722222222-2-2-2-2-2-200002000022-2-2000022-2-200000000000000
χ1822222222-2-2-2-2-2-2000020000-2-2220000-2-22200000000000000
χ19222222-2-2-2-2-2-2220000-2000022-2-20000-2-22200000000000000
χ20222222-2-2-2-2-2-2220000-20000-2-222000022-2-200000000000000
χ212222-2-22222-2-22-20000-20000000022-2-20000-2-2220000000000
χ222222-2-22222-2-22-20000-200000000-2-222000022-2-20000000000
χ232222-2-222-2-222-2222-2-2-2-2-22200000000000000000000000000
χ242222-2-222-2-222-22-2-222-222-2-200000000000000000000000000
χ252222-2-2-2-222-2-2-22000020000000022220000-2-2-2-20000000000
χ262222-2-2-2-222-2-2-220000200000000-2-2-2-2000022220000000000
χ272222-2-2-2-2-2-2222-222222-2-2-2-200000000000000000000000000
χ282222-2-2-2-2-2-2222-2-2-2-2-22222200000000000000000000000000
χ2922-2-22-2002-22-200002-20002-200002i−2i002i−2i2i−2i2i−2i000000000000
χ3022-2-22-2002-22-200002-20002-20000−2i2i00−2i2i−2i2i−2i2i000000000000
χ3122-2-22-2002-22-20000-22000-2200002i−2i00−2i2i−2i2i2i−2i000000000000
χ3222-2-22-2002-22-20000-22000-220000−2i2i002i−2i2i−2i−2i2i000000000000
χ3322-2-22-200-22-22002-20002-2000000002i−2i2i−2i−2i2i002i−2i0000000000
χ3422-2-22-200-22-22002-20002-200000000−2i2i−2i2i2i−2i00−2i2i0000000000
χ3522-2-22-200-22-2200-22000-22000000002i−2i−2i2i2i−2i002i−2i0000000000
χ3622-2-22-200-22-2200-22000-2200000000−2i2i2i−2i−2i2i00−2i2i0000000000
χ3722-2-2-22002-2-22002-2000-22002i−2i2i−2i2i−2i000000−2i2i000000000000
χ3822-2-2-22002-2-22002-2000-2200−2i2i−2i2i−2i2i0000002i−2i000000000000
χ3922-2-2-22002-2-2200-220002-2002i−2i2i−2i−2i2i0000002i−2i000000000000
χ4022-2-2-22002-2-2200-220002-200−2i2i−2i2i2i−2i000000−2i2i000000000000
χ4122-2-2-2200-222-200002-2000-222i−2i−2i2i002i−2i000000−2i2i0000000000
χ4222-2-2-2200-222-200002-2000-22−2i2i2i−2i00−2i2i0000002i−2i0000000000
χ4322-2-2-2200-222-20000-220002-22i−2i−2i2i00−2i2i0000002i−2i0000000000
χ4422-2-2-2200-222-20000-220002-2−2i2i2i−2i002i−2i000000−2i2i0000000000
χ454-44-4004i−4i00000000000000000000000000000002-22i−2i000000
χ464-44-4004i−4i0000000000000000000000000000000-22−2i2i000000
χ474-44-400−4i4i00000000000000000000000000000002-2−2i2i000000
χ484-44-400−4i4i0000000000000000000000000000000-222i−2i000000
χ498-8-88000000000000000000000000000000000000000000000

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