Finite Group Databasebeta

← Group #11005

Character table — Group #11005

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111222222222222228888888888888888888888888888
order1222222222444444442244444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91-1-1111-1-11-11111-1-1-1-11-1ii−i−i1-111-1-111-1-1ii−i−iii−i−iii−i−i
χ101-1-1111-1-11-11111-1-1-1-11-1ii−i−i1-1-1-111-1-111−i−iiiii−i−i−i−iii
χ111-1-1111-1-11-11111-1-1-1-11-1−i−iii1-111-1-111-1-1−i−iii−i−iii−i−iii
χ121-1-1111-1-11-11111-1-1-1-11-1−i−iii1-1-1-111-1-111ii−i−i−i−iiiii−i−i
χ131-1-1111-1-11-11111-1-1-1-1-11ii−i−i-1111-1-1-1-111−i−iii−i−iiiii−i−i
χ141-1-1111-1-11-11111-1-1-1-1-11ii−i−i-11-1-11111-1-1ii−i−i−i−iii−i−iii
χ151-1-1111-1-11-11111-1-1-1-1-11−i−iii-1111-1-1-1-111ii−i−iii−i−i−i−iii
χ161-1-1111-1-11-11111-1-1-1-1-11−i−iii-11-1-11111-1-1−i−iiiii−i−iii−i−i
χ172222222222-2-2-2-2-2-2-2-20000000000002-22-2000000000000
χ182222222222-2-2-2-2-2-2-2-2000000000000-22-22000000000000
χ1922222-22-2-2-222-2-222-2-200000000000000002i−2i2i−2i00000000
χ2022222-22-2-2-222-2-222-2-20000000000000000−2i2i−2i2i00000000
χ2122222-22-2-2-2-2-222-2-222002-22-20000000000000000000000
χ2222222-22-2-2-2-2-222-2-22200-22-220000000000000000000000
χ232222-22-2-2-222-22-22-22-20000000000000000000000002-22-2
χ242222-22-2-2-222-22-22-22-2000000000000000000000000-22-22
χ252222-22-2-2-22-22-22-22-22000000000000000000002-22-20000
χ262222-22-2-2-22-22-22-22-2200000000000000000000-22-220000
χ272222-2-2-222-22-2-222-2-22220000-2-200000000000000000000
χ282222-2-2-222-22-2-222-2-22-2-200002200000000000000000000
χ292222-2-2-222-2-222-2-222-2000000002-22-20000000000000000
χ302222-2-2-222-2-222-2-222-200000000-22-220000000000000000
χ312-2-2222-2-22-2-2-2-2-222220000000000002-2-22000000000000
χ322-2-2222-2-22-2-2-2-2-22222000000000000-222-2000000000000
χ332-2-222-2-22-2222-2-2-2-22200000000000000002-2-2200000000
χ342-2-222-2-22-2222-2-2-2-2220000000000000000-222-200000000
χ352-2-222-2-22-22-2-22222-2-2002i−2i−2i2i0000000000000000000000
χ362-2-222-2-22-22-2-22222-2-200−2i2i2i−2i0000000000000000000000
χ372-2-22-2222-2-22-22-2-22-220000000000000000000000002i−2i−2i2i
χ382-2-22-2222-2-22-22-2-22-22000000000000000000000000−2i2i2i−2i
χ392-2-22-2222-2-2-22-222-22-2000000000000000000002i−2i−2i2i0000
χ402-2-22-2222-2-2-22-222-22-200000000000000000000−2i2i2i−2i0000
χ412-2-22-2-22-2222-2-22-222-22-20000-2200000000000000000000
χ422-2-22-2-22-2222-2-22-222-2-2200002-200000000000000000000
χ432-2-22-2-22-222-222-22-2-22000000002-2-220000000000000000
χ442-2-22-2-22-222-222-22-2-2200000000-222-20000000000000000
χ4588-8-8000000000000000000000000000000000000000000
χ468-88-8000000000000000000000000000000000000000000

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