Finite Group Databasebeta

← Group #32999

Character table — Group #32999

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222222244442222244444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ61111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ71111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ91111-1-1111111-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ101111-1-1111111-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-11-11-11
χ111111-1-1111111-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-111-1-11
χ121111-1-1111111-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1111-1-111-1
χ131111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11-111-1
χ141111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-11
χ151111-1-1111111-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-11-1-11-11
χ161111-1-1111111-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-111-11-1
χ1722222222-2-2-2-2200000000-2-20000000022-2-222-2-20000000000
χ1822222222-2-2-2-2200000000-2-200000000-2-222-2-2220000000000
χ19222222-2-222-2-2-2000022222-20000-2-2-2-2000000000000000000
χ20222222-2-222-2-2-20000-2-2-2-22-200002222000000000000000000
χ21222222-2-2-2-222-222220000-22-2-2-2-20000000000000000000000
χ22222222-2-2-2-222-2-2-2-2-20000-2222220000000000000000000000
χ232222-2-222-2-2-2-2-200000000220000000022-2-2-2-2220000000000
χ242222-2-222-2-2-2-2-2000000002200000000-2-22222-2-20000000000
χ252222-2-2-2-222-2-22000022-2-2-220000-2-222000000000000000000
χ262222-2-2-2-222-2-220000-2-222-22000022-2-2000000000000000000
χ272222-2-2-2-2-2-222222-2-200002-2-2-2220000000000000000000000
χ282222-2-2-2-2-2-2222-2-22200002-222-2-20000000000000000000000
χ292-22-2002-22-22-20002-2002i−2i00002-2002i−2i2i−2i2i−2i00000000000000
χ302-22-2002-22-22-20002-200−2i2i00002-200−2i2i−2i2i−2i2i00000000000000
χ312-22-2002-22-22-2000-22002i−2i0000-22002i−2i−2i2i−2i2i00000000000000
χ322-22-2002-22-22-2000-2200−2i2i0000-2200−2i2i2i−2i2i−2i00000000000000
χ332-22-2002-2-22-2202-2002i−2i00002-2002i−2i002i−2i−2i2i00000000000000
χ342-22-2002-2-22-2202-200−2i2i00002-200−2i2i00−2i2i2i−2i00000000000000
χ352-22-2002-2-22-220-22002i−2i0000-22002i−2i00−2i2i2i−2i00000000000000
χ362-22-2002-2-22-220-2200−2i2i0000-2200−2i2i002i−2i−2i2i00000000000000
χ372-22-200-222-2-2202-200002i−2i00-220000−2i2i00002i−2i2i−2i0000000000
χ382-22-200-222-2-2202-20000−2i2i00-2200002i−2i0000−2i2i−2i2i0000000000
χ392-22-200-222-2-220-2200002i−2i002-20000−2i2i0000−2i2i−2i2i0000000000
χ402-22-200-222-2-220-220000−2i2i002-200002i−2i00002i−2i2i−2i0000000000
χ412-22-200-22-222-20002-22i−2i000000-22−2i2i0000002i−2i−2i2i0000000000
χ422-22-200-22-222-20002-2−2i2i000000-222i−2i000000−2i2i2i−2i0000000000
χ432-22-200-22-222-2000-222i−2i0000002-2−2i2i000000−2i2i2i−2i0000000000
χ442-22-200-22-222-2000-22−2i2i0000002-22i−2i0000002i−2i−2i2i0000000000
χ454-4-444-40000000000000000000000000000000002i−2i2i−2i000000
χ464-4-444-4000000000000000000000000000000000−2i2i−2i2i000000
χ474-4-44-440000000000000000000000000000000002i−2i−2i2i000000
χ484-4-44-44000000000000000000000000000000000−2i2i2i−2i000000
χ4988-8-8000000000000000000000000000000000000000000000

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