Finite Group Databasebeta

← Group #22967

Character table — Group #22967

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1111111122222222222222222222222244444444444444444444444444888888888888
order1222222244444444444444448888888844444444444444888888888888444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111111-1-1-1-1-1-1-1-11111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ81111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ9111111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ11111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1
χ12111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111
χ13111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ15111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ16111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ171-1-111-11-1111-1-1ii−i−iii−i−i-1-11iiii−i−i−i−iii−i−i11-1-1i−i1-1i−iii−i−i11-1-111-1-11-1i−i1-11-1i−ii−i
χ181-1-111-11-1111-1-1ii−i−iii−i−i-1-11iiii−i−i−i−i−i−iii-1-111i−i1-1i−iii−i−i11-1-111-1-1-11−ii-11-11−ii−ii
χ191-1-111-11-1111-1-1ii−i−iii−i−i-1-11−i−i−i−iiiiiii−i−i-1-111i−i1-1i−i−i−iii-1-111-1-1111-1−ii1-1-11i−i−ii
χ201-1-111-11-1111-1-1ii−i−iii−i−i-1-11−i−i−i−iiiii−i−iii11-1-1i−i1-1i−i−i−iii-1-111-1-111-11i−i-111-1−iii−i
χ211-1-111-11-1111-1-1−i−iii−i−iii-1-11iiii−i−i−i−iii−i−i11-1-1−ii1-1−iiii−i−i-1-111-1-111-11−ii-111-1i−i−ii
χ221-1-111-11-1111-1-1−i−iii−i−iii-1-11iiii−i−i−i−i−i−iii-1-111−ii1-1−iiii−i−i-1-111-1-1111-1i−i1-1-11−iii−i
χ231-1-111-11-1111-1-1−i−iii−i−iii-1-11−i−i−i−iiiiiii−i−i-1-111−ii1-1−ii−i−iii11-1-111-1-1-11i−i-11-11i−ii−i
χ241-1-111-11-1111-1-1−i−iii−i−iii-1-11−i−i−i−iiiii−i−iii11-1-1−ii1-1−ii−i−iii11-1-111-1-11-1−ii1-11-1−ii−ii
χ251-1-111-11-11-1-111ii−i−i−i−iii-1-11iiii−i−i−i−iii−i−i11-1-1−ii-11i−i−i−iii11-1-1-1-111-11−ii1-1-11−iii−i
χ261-1-111-11-11-1-111ii−i−i−i−iii-1-11iiii−i−i−i−i−i−iii-1-111−ii-11i−i−i−iii11-1-1-1-1111-1i−i-111-1i−i−ii
χ271-1-111-11-11-1-111ii−i−i−i−iii-1-11−i−i−i−iiiiiii−i−i-1-111−ii-11i−iii−i−i-1-11111-1-1-11i−i1-11-1−ii−ii
χ281-1-111-11-11-1-111ii−i−i−i−iii-1-11−i−i−i−iiiii−i−iii11-1-1−ii-11i−iii−i−i-1-11111-1-11-1−ii-11-11i−ii−i
χ291-1-111-11-11-1-111−i−iiiii−i−i-1-11iiii−i−i−i−iii−i−i11-1-1i−i-11−ii−i−iii-1-11111-1-11-1i−i-11-11−ii−ii
χ301-1-111-11-11-1-111−i−iiiii−i−i-1-11iiii−i−i−i−i−i−iii-1-111i−i-11−ii−i−iii-1-11111-1-1-11−ii1-11-1i−ii−i
χ311-1-111-11-11-1-111−i−iiiii−i−i-1-11−i−i−i−iiiiiii−i−i-1-111i−i-11−iiii−i−i11-1-1-1-1111-1−ii-111-1−iii−i
χ321-1-111-11-11-1-111−i−iiiii−i−i-1-11−i−i−i−iiiii−i−iii11-1-1i−i-11−iiii−i−i11-1-1-1-111-11i−i1-1-11i−i−ii
χ3322222222-2222222222222-2-2-20000000000000000-2-2-2-2-2-2000000000000000000000000
χ3422222222-22222-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222000000000000000000000000
χ3522222222-2-2-2-2-22222-2-2-2-2-2-2-200000000000000002222-2-2000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-22222-2-2-20000000000000000-2-22222000000000000000000000000
χ372222-2-2-2-220000000000002-2-222-2-222-2-22-22-22-22-2000000000000000000000000000000
χ382222-2-2-2-220000000000002-2-222-2-222-2-2-22-22-22-22000000000000000000000000000000
χ392222-2-2-2-220000000000002-2-2-2-222-2-2222-22-2-22-22000000000000000000000000000000
χ402222-2-2-2-220000000000002-2-2-2-222-2-222-22-222-22-2000000000000000000000000000000
χ4122-2-2-2-22202i−2i2i−2i2i−2i2i−2i2-22-20002−22−22−22−200000000000000i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ4222-2-2-2-22202i−2i2i−2i2i−2i2i−2i2-22-2000−22−22−22−2200000000000000−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ4322-2-2-2-22202i−2i2i−2i−2i2i−2i2i-22-220002−22−22−22−200000000000000i2−i2i2−i2−i2i2−i2i2−22−22000000000000
χ4422-2-2-2-22202i−2i2i−2i−2i2i−2i2i-22-22000−22−22−22−2200000000000000−i2i2−i2i2i2−i2i2−i22−22−2000000000000
χ4522-2-2-2-2220−2i2i−2i2i2i−2i2i−2i-22-220002−22−22−22−200000000000000−i2i2−i2i2i2−i2i2−i2−22−22000000000000
χ4622-2-2-2-2220−2i2i−2i2i2i−2i2i−2i-22-22000−22−22−22−2200000000000000i2−i2i2−i2−i2i2−i2i22−22−2000000000000
χ4722-2-2-2-2220−2i2i−2i2i−2i2i−2i2i2-22-20002−22−22−22−200000000000000−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ4822-2-2-2-2220−2i2i−2i2i−2i2i−2i2i2-22-2000−22−22−22−2200000000000000i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ492-22-2-222-202i−2i−2i2i2-2-22−2i2i2i−2i000i2−i2i2−i2−i2i2−i2i200000000000000−222−2−i2i2i2−i2−222−2000000000000
χ502-22-2-222-202i−2i−2i2i2-2-22−2i2i2i−2i000−i2i2−i2i2i2−i2i2−i2000000000000002−2−22i2−i2−i2i22−2−22000000000000
χ512-22-2-222-202i−2i−2i2i-222-22i−2i−2i2i000i2−i2i2−i2−i2i2−i2i200000000000000−222−2i2−i2−i2i22−2−22000000000000
χ522-22-2-222-202i−2i−2i2i-222-22i−2i−2i2i000−i2i2−i2i2i2−i2i2−i2000000000000002−2−22−i2i2i2−i2−222−2000000000000
χ532-22-2-222-20−2i2i2i−2i2-2-222i−2i−2i2i000i2−i2i2−i2−i2i2−i2i2000000000000002−2−22−i2i2i2−i22−2−22000000000000
χ542-22-2-222-20−2i2i2i−2i2-2-222i−2i−2i2i000−i2i2−i2i2i2−i2i2−i200000000000000−222−2i2−i2−i2i2−222−2000000000000
χ552-22-2-222-20−2i2i2i−2i-222-2−2i2i2i−2i000i2−i2i2−i2−i2i2−i2i2000000000000002−2−22i2−i2−i2i2−222−2000000000000
χ562-22-2-222-20−2i2i2i−2i-222-2−2i2i2i−2i000−i2i2−i2i2i2−i2i2−i200000000000000−222−2−i2i2i2−i22−2−22000000000000
χ572-2-222-22-2-222-2-22i2i−2i−2i2i2i−2i−2i22-20000000000000000−2i2i-22−2i2i000000000000000000000000
χ582-2-222-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-200000000000000002i−2i-222i−2i000000000000000000000000
χ592-2-222-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i22-200000000000000002i−2i2-2−2i2i000000000000000000000000
χ602-2-222-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i22-20000000000000000−2i2i2-22i−2i000000000000000000000000
χ612-2-22-22-222000000000000-22-22i2i−2i−2i−2i−2i2i2i2i−2i−2i2i2-2-22000000000000000000000000000000
χ622-2-22-22-222000000000000-22-22i2i−2i−2i−2i−2i2i2i−2i2i2i−2i-222-2000000000000000000000000000000
χ632-2-22-22-222000000000000-22-2−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i-222-2000000000000000000000000000000
χ642-2-22-22-222000000000000-22-2−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2-2-22000000000000000000000000000000
χ654444-4-4-4-4-4000000000000-4440000000000000000000000000000000000000000000000
χ6644-4-444-4-4000000000000000022−22−222222−22−222200000000000000000000000000000000000000
χ6744-4-444-4-40000000000000000−222222−22−222222−2200000000000000000000000000000000000000
χ684-44-44-4-4400000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ694-44-44-4-440000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ704-4-44-44-44-40000000000004-440000000000000000000000000000000000000000000000

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