Finite Group Databasebeta

← Group #67849

Character table — Group #67849

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order12222222224444448888888844444444366666666612121212121224242424242424241212121212121212366666666612121212121224242424242424241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i111111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i111111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i
χ6111111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii111111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii111111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii
χ7111111-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i
χ91111-1-11-11-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i1111-1-11-11-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i1111-1-11-11-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i
χ101111-1-11-11-111-1-11-1ii−i−iii−i−i-11-11−ii−ii1111-1-11-11-111-1-11-1ii−i−iii−i−i-11-11−ii−ii1111-1-11-11-111-1-11-1ii−i−iii−i−i-11-11−ii−ii
χ111111-1-11-11-111-1-11-1−i−iii−i−iii1-11-1−ii−ii1111-1-11-11-111-1-11-1−i−iii−i−iii1-11-1−ii−ii1111-1-11-11-111-1-11-1−i−iii−i−iii1-11-1−ii−ii
χ121111-1-11-11-111-1-11-1−i−iii−i−iii-11-11i−ii−i1111-1-11-11-111-1-11-1−i−iii−i−iii-11-11i−ii−i1111-1-11-11-111-1-11-1−i−iii−i−iii-11-11i−ii−i
χ131111-1-1-11-1111-1-1-11ii−i−i−i−iiii−i−ii-111-11111-1-1-11-1111-1-1-11ii−i−i−i−iiii−i−ii-111-11111-1-1-11-1111-1-1-11ii−i−i−i−iiii−i−ii-111-1
χ141111-1-1-11-1111-1-1-11ii−i−i−i−iii−iii−i1-1-111111-1-1-11-1111-1-1-11ii−i−i−i−iii−iii−i1-1-111111-1-1-11-1111-1-1-11ii−i−i−i−iii−iii−i1-1-11
χ151111-1-1-11-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-111111-1-1-11-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-111111-1-1-11-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-11
χ161111-1-1-11-1111-1-1-11−i−iiiii−i−i−iii−i-111-11111-1-1-11-1111-1-1-11−i−iiiii−i−i−iii−i-111-11111-1-1-11-1111-1-1-11−i−iiiii−i−i−iii−i-111-1
χ172222222222-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-20000000000000000
χ18222222-2-2-2-2-2-2-2-2220000000000000000222222-2-2-2-2-2-2-2-2220000000000000000222222-2-2-2-2-2-2-2-2220000000000000000
χ192222-2-22-22-2-2-222-2200000000000000002222-2-22-22-2-2-222-2200000000000000002222-2-22-22-2-2-222-220000000000000000
χ202222-2-2-22-22-2-2222-200000000000000002222-2-2-22-22-2-2222-200000000000000002222-2-2-22-22-2-2222-20000000000000000
χ2122-2-22-222-2-20000002−22−22−22−20000000022-2-22-222-2-20000002−22−22−22−20000000022-2-22-222-2-20000002−22−22−22−200000000
χ2222-2-22-222-2-2000000−22−22−22−220000000022-2-22-222-2-2000000−22−22−22−220000000022-2-22-222-2-2000000−22−22−22−2200000000
χ2322-2-22-2-2-2220000002−22−2−22−220000000022-2-22-2-2-2220000002−22−2−22−220000000022-2-22-2-2-2220000002−22−2−22−2200000000
χ2422-2-22-2-2-222000000−22−222−22−20000000022-2-22-2-2-222000000−22−222−22−20000000022-2-22-2-2-222000000−22−222−22−200000000
χ2522-2-2-222-2-22000000i2−i2−i2i2i2−i2−i2i20000000022-2-2-222-2-22000000i2−i2−i2i2i2−i2−i2i20000000022-2-2-222-2-22000000i2−i2−i2i2i2−i2−i2i200000000
χ2622-2-2-222-2-22000000−i2i2i2−i2−i2i2i2−i20000000022-2-2-222-2-22000000−i2i2i2−i2−i2i2i2−i20000000022-2-2-222-2-22000000−i2i2i2−i2−i2i2i2−i200000000
χ2722-2-2-22-222-2000000i2−i2−i2i2−i2i2i2−i20000000022-2-2-22-222-2000000i2−i2−i2i2−i2i2i2−i20000000022-2-2-22-222-2000000i2−i2−i2i2−i2i2i2−i200000000
χ2822-2-2-22-222-2000000−i2i2i2−i2i2−i2−i2i20000000022-2-2-22-222-2000000−i2i2i2−i2i2−i2−i2i20000000022-2-2-22-222-2000000−i2i2i2−i2i2−i2−i2i200000000
χ294-44-40000004i−4i000000000000000000004-44-40000004i−4i000000000000000000004-44-40000004i−4i00000000000000000000
χ304-44-4000000−4i4i000000000000000000004-44-4000000−4i4i000000000000000000004-44-4000000−4i4i00000000000000000000
χ314-4-44000000004-40000000000000000004-4-44000000004-40000000000000000004-4-44000000004-4000000000000000000
χ324-4-4400000000-440000000000000000004-4-4400000000-440000000000000000004-4-4400000000-44000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ37111111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ38111111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ39111111-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ40111111-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ411111-1-11-11-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22
χ421111-1-11-11-111-1-11-1ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22
χ431111-1-11-11-111-1-11-1−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22
χ441111-1-11-11-111-1-11-1−i−iii−i−iii-11-11i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22
χ451111-1-1-11-1111-1-1-11ii−i−i−i−iiii−i−ii-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32
χ461111-1-1-11-1111-1-1-11ii−i−i−i−iii−iii−i1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32
χ471111-1-1-11-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32
χ481111-1-1-11-1111-1-1-11−i−iiiii−i−i−iii−i-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32
χ492222222222-2-2-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000000000
χ50222222-2-2-2-2-2-2-2-2220000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000
χ512222-2-22-22-2-2-222-220000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000000000
χ522222-2-2-22-22-2-2222-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000
χ5322-2-22-222-2-20000002−22−22−22−200000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ5422-2-22-222-2-2000000−22−22−22−2200000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ5522-2-22-2-2-2220000002−22−2−22−2200000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ5622-2-22-2-2-222000000−22−222−22−200000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ5722-2-2-222-2-22000000i2−i2−i2i2i2−i2−i2i200000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000
χ5822-2-2-222-2-22000000−i2i2i2−i2−i2i2i2−i200000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000
χ5922-2-2-22-222-2000000i2−i2−i2i2−i2i2i2−i200000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000
χ6022-2-2-22-222-2000000−i2i2i2−i2i2−i2−i2i200000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000
χ614-44-40000004i−4i00000000000000000000−2+2i32−2i3−2+2i32−2i30000004ζ14−4ζ1400000000000000000000−2−2i32+2i3−2−2i32+2i30000004ζ22−4ζ2200000000000000000000
χ624-44-4000000−4i4i00000000000000000000−2+2i32−2i3−2+2i32−2i3000000−4ζ144ζ1400000000000000000000−2−2i32+2i3−2−2i32+2i3000000−4ζ224ζ2200000000000000000000
χ634-4-44000000004-4000000000000000000−2+2i32−2i32−2i3−2+2i300000000−2+2i32−2i3000000000000000000−2−2i32+2i32+2i3−2−2i300000000−2−2i32+2i3000000000000000000
χ644-4-4400000000-44000000000000000000−2+2i32−2i32−2i3−2+2i3000000002−2i3−2+2i3000000000000000000−2−2i32+2i32+2i3−2−2i3000000002+2i3−2−2i3000000000000000000
χ6511111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ671111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ681111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ69111111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ70111111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ71111111-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ72111111-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ731111-1-11-11-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14
χ741111-1-11-11-111-1-11-1ii−i−iii−i−i-11-11−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14
χ751111-1-11-11-111-1-11-1−i−iii−i−iii1-11-1−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14
χ761111-1-11-11-111-1-11-1−i−iii−i−iii-11-11i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14
χ771111-1-1-11-1111-1-1-11ii−i−i−i−iiii−i−ii-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32
χ781111-1-1-11-1111-1-1-11ii−i−i−i−iii−iii−i1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32
χ791111-1-1-11-1111-1-1-11−i−iiiii−i−ii−i−ii1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32
χ801111-1-1-11-1111-1-1-11−i−iiiii−i−i−iii−i-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32
χ812222222222-2-2-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000000000
χ82222222-2-2-2-2-2-2-2-2220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000
χ832222-2-22-22-2-2-222-220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i30000000000000000
χ842222-2-2-22-22-2-2222-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i30000000000000000
χ8522-2-22-222-2-20000002−22−22−22−200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ8622-2-22-222-2-2000000−22−22−22−2200000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ8722-2-22-2-2-2220000002−22−2−22−2200000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ8822-2-22-2-2-222000000−22−222−22−200000000−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ8922-2-2-222-2-22000000i2−i2−i2i2i2−i2−i2i200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ9022-2-2-222-2-22000000−i2i2i2−i2−i2i2i2−i200000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ9122-2-2-22-222-2000000i2−i2−i2i2−i2i2i2−i200000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ9222-2-2-22-222-2000000−i2i2i2−i2i2−i2−i2i200000000−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ934-44-40000004i−4i00000000000000000000−2−2i32+2i3−2−2i32+2i30000004ζ22−4ζ2200000000000000000000−2+2i32−2i3−2+2i32−2i30000004ζ14−4ζ1400000000000000000000
χ944-44-4000000−4i4i00000000000000000000−2−2i32+2i3−2−2i32+2i3000000−4ζ224ζ2200000000000000000000−2+2i32−2i3−2+2i32−2i3000000−4ζ144ζ1400000000000000000000
χ954-4-44000000004-4000000000000000000−2−2i32+2i32+2i3−2−2i300000000−2−2i32+2i3000000000000000000−2+2i32−2i32−2i3−2+2i300000000−2+2i32−2i3000000000000000000
χ964-4-4400000000-44000000000000000000−2−2i32+2i32+2i3−2−2i3000000002+2i3−2−2i3000000000000000000−2+2i32−2i32−2i3−2+2i3000000002−2i3−2+2i3000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.