Finite Group Databasebeta

← Group #11301

Character table — Group #11301

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111222222222222228888888888888888888888888888
order1222222222444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-11-111-1-11-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1
χ101-11-111-1-11-111-1-111-1-1ii−i−i11-1-1−i−iiiii−i−i-1-111−i−iii-1-111
χ111-11-111-1-11-111-1-111-1-1ii−i−i-1-111ii−i−i−i−iii11-1-1−i−iii-1-111
χ121-11-111-1-11-111-1-111-1-1ii−i−i-1-111−i−iii−i−iii-1-111ii−i−i11-1-1
χ131-11-111-1-11-111-1-111-1-1−i−iii11-1-1ii−i−i−i−iii-1-111ii−i−i-1-111
χ141-11-111-1-11-111-1-111-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii11-1-1
χ151-11-111-1-11-111-1-111-1-1−i−iii-1-111ii−i−iii−i−i-1-111−i−iii11-1-1
χ161-11-111-1-11-111-1-111-1-1−i−iii-1-111−i−iiiii−i−i11-1-1ii−i−i-1-111
χ172222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ182222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ1922222-22-2-2-22-22-22-22-200000000000000002i−2i2i−2i00000000
χ2022222-22-2-2-22-22-22-22-20000000000000000−2i2i−2i2i00000000
χ2122222-22-2-2-2-22-22-22-2200002i−2i2i−2i00000000000000000000
χ2222222-22-2-2-2-22-22-22-220000−2i2i−2i2i00000000000000000000
χ232222-22-2-2-2222-22-2-22-2000000000000000000002i−2i2i−2i0000
χ242222-22-2-2-2222-22-2-22-200000000000000000000−2i2i−2i2i0000
χ252222-22-2-2-22-2-22-222-222-22-2000000000000000000000000
χ262222-22-2-2-22-2-22-222-22-22-22000000000000000000000000
χ272222-2-2-222-22-2-2-2-22220000000000002-22-2000000000000
χ282222-2-2-222-22-2-2-2-2222000000000000-22-22000000000000
χ292222-2-2-222-2-22222-2-2-2000000002i−2i2i−2i0000000000000000
χ302222-2-2-222-2-22222-2-2-200000000−2i2i−2i2i0000000000000000
χ312-22-222-2-22-2-2-222-2-2220000000000000000000000002i−2i−2i2i
χ322-22-222-2-22-2-2-222-2-222000000000000000000000000−2i2i2i−2i
χ332-22-22-2-22-222-2-222-2-2200000000000000002i−2i−2i2i00000000
χ342-22-22-2-22-222-2-222-2-220000000000000000−2i2i2i−2i00000000
χ352-22-22-2-22-22-222-2-222-200002i−2i−2i2i00000000000000000000
χ362-22-22-2-22-22-222-2-222-20000−2i2i2i−2i00000000000000000000
χ372-22-2-2222-2-2222-2-2-2-22000000000000000000002-2-220000
χ382-22-2-2222-2-2222-2-2-2-2200000000000000000000-222-20000
χ392-22-2-2222-2-2-2-2-22222-22i−2i−2i2i000000000000000000000000
χ402-22-2-2222-2-2-2-2-22222-2−2i2i2i−2i000000000000000000000000
χ412-22-2-2-22-2222-222-22-2-20000000000002i−2i−2i2i000000000000
χ422-22-2-2-22-2222-222-22-2-2000000000000−2i2i2i−2i000000000000
χ432-22-2-2-22-222-22-2-22-222000000002-2-220000000000000000
χ442-22-2-2-22-222-22-2-22-22200000000-222-20000000000000000
χ4588-8-8000000000000000000000000000000000000000000
χ468-8-88000000000000000000000000000000000000000000

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