Finite Group Databasebeta

← Group #9841

Character table — Group #9841

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444488888888888888888888888844444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i
χ101-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii
χ111-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ121-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ131-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ141-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ151-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ161-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ172222222222-2-2-2-222-2-2-2-222-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-222-2-2-2-222-2-2000000000000000022-2-222-2-200000000
χ2022222222-2-222-2-2-2-222-2-20000000000000000-2-222-2-22200000000
χ2122222222-2-2-2-222-2-2-2-2220000000022-2-222-2-20000000000000000
χ2222222222-2-2-2-222-2-2-2-22200000000-2-222-2-2220000000000000000
χ23222-22-2-2-22-200002-20000002-2002-22−22−22−22−22−22−22−22−200000000
χ24222-22-2-2-22-200002-20000002-2002-2−22−22−22−22−22−22−22−2200000000
χ25222-22-2-2-22-200002-2000000-2200-222−22−22−22−2−22−22−22−2200000000
χ26222-22-2-2-22-200002-2000000-2200-22−22−22−22−222−22−22−22−200000000
χ27222-22-2-2-2-220000-2200002-2002-2002−2−222−2−222−2−222−2−2200000000
χ28222-22-2-2-2-220000-2200002-2002-200−222−2−222−2−222−2−222−200000000
χ29222-22-2-2-2-220000-220000-2200-22002−2−222−2−22−222−2−222−200000000
χ30222-22-2-2-2-220000-220000-2200-2200−222−2−222−22−2−222−2−2200000000
χ312-2-222-2-222-20000-2200002-200-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ322-2-222-2-222-20000-2200002-200-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ332-2-222-2-222-20000-220000-22002-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ342-2-222-2-222-20000-220000-22002-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ352-2-222-2-22-2200002-20000002-200-22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ362-2-222-2-22-2200002-20000002-200-22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ372-2-222-2-22-2200002-2000000-22002-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ382-2-222-2-22-2200002-2000000-22002-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ392-2-2-2222-22222-2-2-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ402-2-2-2222-22222-2-2-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ412-2-2-2222-222-2-222-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ422-2-2-2222-222-2-222-2-222-2-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ432-2-2-2222-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000000000
χ442-2-2-2222-2-2-2-2-2-2-2222222-2-22222-2-2000000000000000000000000
χ4544-44-44-4-400004-400004-400000000000000000000000000000000
χ4644-44-44-4-40000-440000-4400000000000000000000000000000000
χ4744-4-4-4-444004-400004-40000000000000000000000000000000000
χ4844-4-4-4-44400-440000-440000000000000000000000000000000000
χ494-444-4-44-4004-40000-440000000000000000000000000000000000
χ504-444-4-44-400-4400004-40000000000000000000000000000000000
χ514-44-4-44-4400004-40000-4400000000000000000000000000000000
χ524-44-4-44-440000-4400004-400000000000000000000000000000000

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