Finite Group Databasebeta

← Group #11614

Character table — Group #11614

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111111111111111222222222222222244444444444444444444444444444444444488888888
order122244448888888844444444888888882488161616161616161616161616161616161616161616161616161616161616161624448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111
χ171111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-1i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-11-1i−ii−i
χ181111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-1i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11-11−ii−ii
χ191111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11-11−ii−ii
χ201111-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-11-1i−ii−i
χ211111-1-1-1-1iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-11−iiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1-11i−i−ii
χ221111-1-1-1-1iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-11−iiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-111-1−iii−i
χ231111-1-1-1-1iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-11−ii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-111-1−iii−i
χ241111-1-1-1-1iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i-11−ii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1-11i−i−ii
χ251111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-1−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-11-1−ii−ii
χ261111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-1−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11-11i−ii−i
χ271111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-1−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11-11i−ii−i
χ281111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-1−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-11-1−ii−ii
χ291111-1-1-1-1−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-11i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1-11−iii−i
χ301111-1-1-1-1−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-11i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-111-1i−i−ii
χ311111-1-1-1-1−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-11i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-111-1i−i−ii
χ321111-1-1-1-1−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii-11i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1-11−iii−i
χ332222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2220000000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-20000000000000000000000000000000000000000
χ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22222-2-22i2i−2i−2i−2i−2i2i2i-22−2i2i0000000000000000000000000000000000000000
χ382222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-222-2-222−2i−2i2i2i−2i−2i2i2i2-22i−2i0000000000000000000000000000000000000000
χ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i-222i−2i0000000000000000000000000000000000000000
χ402222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-222-2-2222i2i−2i−2i2i2i−2i−2i2-2−2i2i0000000000000000000000000000000000000000
χ4122-2-222-2-222-2-222-2-200002i−2i2i−2i2i−2i2i−2i0000000000000000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ4222-2-222-2-222-2-222-2-200002i−2i2i−2i2i−2i2i−2i000000000000000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ4322-2-222-2-222-2-222-2-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ4422-2-222-2-222-2-222-2-20000−2i2i−2i2i−2i2i−2i2i000000000000000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ4522-2-222-2-2-2-222-2-22200002i−2i2i−2i−2i2i−2i2i000000000000000000000000i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ4622-2-222-2-2-2-222-2-22200002i−2i2i−2i−2i2i−2i2i000000000000000000000000−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ4722-2-222-2-2-2-222-2-2220000−2i2i−2i2i2i−2i2i−2i000000000000000000000000i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ4822-2-222-2-2-2-222-2-2220000−2i2i−2i2i2i−2i2i−2i000000000000000000000000−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ4922-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i-222-20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ5022-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i-222-2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ5122-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i2-2-220000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ5222-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i2-2-22000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ5322-2-2-2-222−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i2-2-220000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ5422-2-2-2-222−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i2-2-22000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ5522-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i-222-20000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ5622-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i-222-2000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ572-22-22i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62-22i−2i000000002ζ2−2ζ22ζ6−2ζ60000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000
χ582-22-22i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62-22i−2i000000002ζ2−2ζ22ζ6−2ζ6000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000
χ592-22-22i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6-22−2i2i00000000−2ζ22ζ2−2ζ62ζ600002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ700000000000000000000000000000000
χ602-22-22i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6-22−2i2i00000000−2ζ22ζ2−2ζ62ζ60000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ700000000000000000000000000000000
χ612-22-22i−2i2i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ62-22i−2i00000000−2ζ22ζ2−2ζ62ζ60000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000
χ622-22-22i−2i2i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ62-22i−2i00000000−2ζ22ζ2−2ζ62ζ6000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000
χ632-22-22i−2i2i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6-22−2i2i000000002ζ2−2ζ22ζ6−2ζ600002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ300000000000000000000000000000000
χ642-22-22i−2i2i−2i−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ6-22−2i2i000000002ζ2−2ζ22ζ6−2ζ60000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ300000000000000000000000000000000
χ652-22-2−2i2i−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22-2−2i2i000000002ζ6−2ζ62ζ2−2ζ20000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000
χ662-22-2−2i2i−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ22-2−2i2i000000002ζ6−2ζ62ζ2−2ζ2000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000000000000000
χ672-22-2−2i2i−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2-222i−2i00000000−2ζ62ζ6−2ζ22ζ200002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ500000000000000000000000000000000
χ682-22-2−2i2i−2i2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2-222i−2i00000000−2ζ62ζ6−2ζ22ζ20000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ500000000000000000000000000000000
χ692-22-2−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ22-2−2i2i00000000−2ζ62ζ6−2ζ22ζ20000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000000000000000
χ702-22-2−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ22-2−2i2i00000000−2ζ62ζ6−2ζ22ζ2000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000000000000000
χ712-22-2−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2-222i−2i000000002ζ6−2ζ62ζ2−2ζ200002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ00000000000000000000000000000000
χ722-22-2−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2-222i−2i000000002ζ6−2ζ62ζ2−2ζ20000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ00000000000000000000000000000000
χ734-4-444i−4i−4i4i4ζ2−4ζ2−4ζ24ζ24ζ6−4ζ6−4ζ64ζ6000000000000000000000000000000000000000000000000000000000000
χ744-4-444i−4i−4i4i−4ζ24ζ24ζ2−4ζ2−4ζ64ζ64ζ6−4ζ6000000000000000000000000000000000000000000000000000000000000
χ754-4-44−4i4i4i−4i4ζ6−4ζ6−4ζ64ζ64ζ2−4ζ2−4ζ24ζ2000000000000000000000000000000000000000000000000000000000000
χ764-4-44−4i4i4i−4i−4ζ64ζ64ζ6−4ζ6−4ζ24ζ24ζ2−4ζ2000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.