Finite Group Databasebeta

← Group #33103

Character table — Group #33103

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size11111111222244444444444444444444444444448888888816161616
order1222222244442244444444444444444444444444888888882444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ12111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222-2-222-2-20000-2-222000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-222000022-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222220000-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-222-2-2-2-200002222000000000000000000000000
χ21222-2-2-2-2222-2-200002i−2i0000002i−2i002i2i−2i−2i000022-2-2000000000000
χ22222-2-2-2-2222-2-200002i−2i0000002i−2i00−2i−2i2i2i0000-2-222000000000000
χ23222-2-2-2-2222-2-20000−2i2i000000−2i2i002i2i−2i−2i0000-2-222000000000000
χ24222-2-2-2-2222-2-20000−2i2i000000−2i2i00−2i−2i2i2i000022-2-2000000000000
χ25222-2-2-2-22-2-22200002i−2i002i2i−2i−2i−2i2i00000022-2-20000000000000000
χ26222-2-2-2-22-2-22200002i−2i00−2i−2i2i2i−2i2i000000-2-2220000000000000000
χ27222-2-2-2-22-2-2220000−2i2i002i2i−2i−2i2i−2i000000-2-2220000000000000000
χ28222-2-2-2-22-2-2220000−2i2i00−2i−2i2i2i2i−2i00000022-2-20000000000000000
χ292-222-22-2-22-22-20000002i−2i0000002i−2i2-22-22i−2i2i−2i0000000000000000
χ302-222-22-2-22-22-20000002i−2i0000002i−2i-22-22−2i2i−2i2i0000000000000000
χ312-222-22-2-22-22-2000000−2i2i000000−2i2i2-22-2−2i2i−2i2i0000000000000000
χ322-222-22-2-22-22-2000000−2i2i000000−2i2i-22-222i−2i2i−2i0000000000000000
χ332-222-22-2-2-22-220000002i−2i2-22-200−2i2i000000002i−2i2i−2i000000000000
χ342-222-22-2-2-22-220000002i−2i-22-2200−2i2i00000000−2i2i−2i2i000000000000
χ352-222-22-2-2-22-22000000−2i2i2-22-2002i−2i00000000−2i2i−2i2i000000000000
χ362-222-22-2-2-22-22000000−2i2i-22-22002i−2i000000002i−2i2i−2i000000000000
χ372-22-22-22-22-2-222-22-200002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ382-22-22-22-22-2-222-22-20000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ392-22-22-22-22-2-22-22-2200002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ402-22-22-22-22-2-22-22-220000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ412-22-22-22-2-222-22-2-2200000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ422-22-22-22-2-222-22-2-220000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ432-22-22-22-2-222-2-222-200000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ442-22-22-22-2-222-2-222-20000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ4544-444-4-4-40000000000000000000000000000000022−220000000000
χ4644-444-4-4-400000000000000000000000000000000−22220000000000
χ4744-4-4-444-40000000000000000000000000000000000002i2−2i2000000
χ4844-4-4-444-4000000000000000000000000000000000000−2i22i2000000
χ494-4-44-4-4440000000000000000000000000000000000000022−220000
χ504-4-44-4-44400000000000000000000000000000000000000−22220000
χ514-4-4-444-44000000000000000000000000000000000022−2200000000
χ524-4-4-444-440000000000000000000000000000000000−222200000000

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