Finite Group Databasebeta

← Group #9470

Character table — Group #9470

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222222222442244444444488888888888888884444444444
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ8111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911111-1-11-1-1-1-1111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−ii−i
χ1011111-1-11-1-1-1-1111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii−ii
χ1111111-1-11-1-1-1-1111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii−ii
χ1211111-1-11-1-1-1-1111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−ii−i
χ1311111-1-11-1-1-1-1-1-1-1-111-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11i−i−ii
χ1411111-1-11-1-1-1-1-1-1-1-111-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1−iii−i
χ1511111-1-11-1-1-1-1-1-1-1-111-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11−iii−i
χ1611111-1-11-1-1-1-1-1-1-1-111-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1i−i−ii
χ172222222222-2-222-2-2-2-2-2-2-22200000000000000000000000000
χ182222222222-2-2-2-222-2-2-222-2-200000000000000000000000000
χ1922222-2-22-2-22222-2-2-2-2222-2-200000000000000000000000000
χ2022222-2-22-2-222-2-222-2-22-2-22200000000000000000000000000
χ212222-22-2-22-22200002-2-200000000000022-2-222-2-20000000000
χ222222-22-2-22-22200002-2-2000000000000-2-222-2-2220000000000
χ232222-22-2-22-2-2-20000-22200002i2i−2i−2i2i2i−2i−2i000000000000000000
χ242222-22-2-22-2-2-20000-2220000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ252222-2-22-2-22220000-22-2000022-2-2-2-222000000000000000000
χ262222-2-22-2-22220000-22-20000-2-22222-2-2000000000000000000
χ272222-2-22-2-22-2-200002-220000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ282222-2-22-2-22-2-200002-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ292-2-2222-2-2-2200002i−2i0002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000
χ302-2-2222-2-2-2200002i−2i0002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000
χ312-2-2222-2-2-220000−2i2i000−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000
χ322-2-2222-2-2-220000−2i2i000−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000
χ332-2-222-22-22-200002i−2i000−2i2i00i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000
χ342-2-222-22-22-200002i−2i000−2i2i00−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000
χ352-2-222-22-22-20000−2i2i0002i−2i00i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000
χ362-2-222-22-22-20000−2i2i0002i−2i00−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000
χ372-2-22-2222-2-2002-200000002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000
χ382-2-22-2222-2-2002-200000002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000
χ392-2-22-2222-2-200-220000000-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000
χ402-2-22-2222-2-200-220000000-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000
χ412-2-22-2-2-2222002-20000000-222−2−22−222−22−2−22−222−20000000000
χ422-2-22-2-2-2222002-20000000-22−222−22−2−22−222−22−2−220000000000
χ432-2-22-2-2-222200-2200000002-22−2−22−222−2−222−22−2−220000000000
χ442-2-22-2-2-222200-2200000002-2−222−22−2−222−2−22−222−20000000000
χ454-44-40000004-40000000000000000000000000002i−2i2i−2i000000
χ464-44-40000004-4000000000000000000000000000−2i2i−2i2i000000
χ474-44-4000000-440000000000000000000000000002i−2i−2i2i000000
χ484-44-4000000-44000000000000000000000000000−2i2i2i−2i000000
χ4988-8-8000000000000000000000000000000000000000000000

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