Finite Group Databasebeta

← Group #85255

Character table — Group #85255

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444448888881111222222222222444444444444488888811112222222222224444444444444888888
order12224444444488884444444888888222222366612121212121212122424242412121212121212242424242424666666366612121212121212122424242412121212121212242424242424666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1
χ4111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111
χ5111111-1-1-1-11111111-1-1111111-1-1-1-11-1-11-1-1111111-1-1-1-11111111-1-1111111-1-1-1-11-1-11-1-1111111-1-1-1-11111111-1-1111111-1-1-1-11-1-11-1-1
χ6111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-111-111
χ7111111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111-1-1-111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111-1-1-111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111-1-1-111
χ8111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11111-1111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11111-1111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11111-1111-1-1
χ91111-1-111-1-1111111-11-11111-1-111-1-1-11-1-11-11111-1-111-1-1111111-11-11111-1-111-1-1-11-1-11-11111-1-111-1-1111111-11-11111-1-111-1-1-11-1-11-1
χ101111-1-111-1-1111111-11-1-1-1-1-1-1-111-1-11-111-111111-1-111-1-1111111-11-1-1-1-1-1-1-111-1-11-111-111111-1-111-1-1111111-11-1-1-1-1-1-1-111-1-11-111-11
χ111111-1-111-1-111-1-1-1-1-11-111-1-111-1-111-11-11-111111-1-111-1-111-1-1-1-1-11-111-1-111-1-111-11-11-111111-1-111-1-111-1-1-1-1-11-111-1-111-1-111-11-11-11
χ121111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1111-11-11-11111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1111-11-11-11111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1111-11-11-1
χ131111-1-1-1-111111111-1-111111-1-1-1-111-1-11-1-111111-1-1-1-111111111-1-111111-1-1-1-111-1-11-1-111111-1-1-1-111111111-1-111111-1-1-1-111-1-11-1-11
χ141111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-111-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-111-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-111-1
χ151111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111-1
χ161111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-111-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-111-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-111-1-1-11
χ172222222222-2-20000-2-2-200000000000000002222222222-2-20000-2-2-200000000000000002222222222-2-20000-2-2-20000000000000000
χ18222222-2-2-2-2-2-20000-2220000000000000000222222-2-2-2-2-2-20000-2220000000000000000222222-2-2-2-2-2-20000-2220000000000000000
χ192222-2-222-2-2-2-200002-2200000000000000002222-2-222-2-2-2-200002-2200000000000000002222-2-222-2-2-2-200002-220000000000000000
χ202222-2-2-2-222-2-2000022-200000000000000002222-2-2-2-222-2-2000022-200000000000000002222-2-2-2-222-2-2000022-20000000000000000
χ2122-2-20000002-222-2-20002i−2i2i−2i00000000000022-2-20000002-222-2-20002i−2i2i−2i00000000000022-2-20000002-222-2-20002i−2i2i−2i000000000000
χ2222-2-20000002-222-2-2000−2i2i−2i2i00000000000022-2-20000002-222-2-2000−2i2i−2i2i00000000000022-2-20000002-222-2-2000−2i2i−2i2i000000000000
χ2322-2-20000002-2-2-2220002i−2i−2i2i00000000000022-2-20000002-2-2-2220002i−2i−2i2i00000000000022-2-20000002-2-2-2220002i−2i−2i2i000000000000
χ2422-2-20000002-2-2-222000−2i2i2i−2i00000000000022-2-20000002-2-2-222000−2i2i2i−2i00000000000022-2-20000002-2-2-222000−2i2i2i−2i000000000000
χ252-2-222-22-22-2002−22−200000002−22−22−20000002-2-222-22-22-2002−22−200000002−22−22−20000002-2-222-22-22-2002−22−200000002−22−22−2000000
χ262-2-222-22-22-200−22−220000000−22−22−220000002-2-222-22-22-200−22−220000000−22−22−220000002-2-222-22-22-200−22−220000000−22−22−22000000
χ272-2-222-2-22-22002−22−200000002−2−22−220000002-2-222-2-22-22002−22−200000002−2−22−220000002-2-222-2-22-22002−22−200000002−2−22−22000000
χ282-2-222-2-22-2200−22−220000000−222−22−20000002-2-222-2-22-2200−22−220000000−222−22−20000002-2-222-2-22-2200−22−220000000−222−22−2000000
χ292-2-22-222-2-22002−22−20000000−222−2−220000002-2-22-222-2-22002−22−20000000−222−2−220000002-2-22-222-2-22002−22−20000000−222−2−22000000
χ302-2-22-222-2-2200−22−2200000002−2−222−20000002-2-22-222-2-2200−22−2200000002−2−222−20000002-2-22-222-2-2200−22−2200000002−2−222−2000000
χ312-2-22-22-222-2002−22−20000000−22−222−20000002-2-22-22-222-2002−22−20000000−22−222−20000002-2-22-22-222-2002−22−20000000−22−222−2000000
χ322-2-22-22-222-200−22−2200000002−22−2−220000002-2-22-22-222-200−22−2200000002−22−2−220000002-2-22-22-222-200−22−2200000002−22−2−22000000
χ3344-4-4000000-440000000000000000000000044-4-4000000-440000000000000000000000044-4-4000000-4400000000000000000000000
χ344-44-40000000022−22−222200000000000000000004-44-40000000022−22−222200000000000000000004-44-40000000022−22−22220000000000000000000
χ354-44-400000000−222222−2200000000000000000004-44-400000000−222222−2200000000000000000004-44-400000000−222222−220000000000000000000
χ3611111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ371111111111111111111-1-1-1-1111111-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ38111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ39111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111−1+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−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ40111111-1-1-1-11111111-1-1111111-1-1-1-11-1-11-1-1−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32
χ41111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-111-111−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ42111111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ43111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11111-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ441111-1-111-1-1111111-11-11111-1-111-1-1-11-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32
χ451111-1-111-1-1111111-11-1-1-1-1-1-1-111-1-11-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ461111-1-111-1-111-1-1-1-1-11-111-1-111-1-111-11-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ471111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1111-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ481111-1-1-1-111111111-1-111111-1-1-1-111-1-11-1-11−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ491111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-111-1−1+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+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ501111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
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χ7111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ721111111111111111111-1-1-1-1111111-1-1-1-1-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ73111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32
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χ75111111-1-1-1-11111111-1-1111111-1-1-1-11-1-11-1-1−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32
χ76111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-111-111−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ77111111-1-1-1-111-1-1-1-11-1-111-1-1-1-111111-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ78111111-1-1-1-111-1-1-1-11-1-1-1-111-1-11111-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32
χ791111-1-111-1-1111111-11-11111-1-111-1-1-11-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32
χ801111-1-111-1-1111111-11-1-1-1-1-1-1-111-1-11-111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ811111-1-111-1-111-1-1-1-1-11-111-1-111-1-111-11-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ821111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1111-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ831111-1-1-1-111111111-1-111111-1-1-1-111-1-11-1-11−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ841111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-111-1−1−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−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ851111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ861111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-111-1-1-11−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ872222222222-2-20000-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i30000000000000000
χ88222222-2-2-2-2-2-20000-2220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i300001+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i300001−i3−1+i3−1+i30000000000000000
χ892222-2-222-2-2-2-200002-220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3−1+i30000000000000000
χ902222-2-2-2-222-2-2000022-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000−1−i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000−1+i3−1+i31−i30000000000000000
χ9122-2-20000002-222-2-20002i−2i2i−2i000000000000−1−i3−1−i31+i31+i3000000−1−i31+i3−1−i3−1−i31+i31+i30002ζ22−2ζ222ζ22−2ζ22000000000000−1+i3−1+i31−i31−i3000000−1+i31−i3−1+i3−1+i31−i31−i30002ζ14−2ζ142ζ14−2ζ14000000000000
χ9222-2-20000002-222-2-2000−2i2i−2i2i000000000000−1−i3−1−i31+i31+i3000000−1−i31+i3−1−i3−1−i31+i31+i3000−2ζ222ζ22−2ζ222ζ22000000000000−1+i3−1+i31−i31−i3000000−1+i31−i3−1+i3−1+i31−i31−i3000−2ζ142ζ14−2ζ142ζ14000000000000
χ9322-2-20000002-2-2-2220002i−2i−2i2i000000000000−1−i3−1−i31+i31+i3000000−1−i31+i31+i31+i3−1−i3−1−i30002ζ22−2ζ22−2ζ222ζ22000000000000−1+i3−1+i31−i31−i3000000−1+i31−i31−i31−i3−1+i3−1+i30002ζ14−2ζ14−2ζ142ζ14000000000000
χ9422-2-20000002-2-2-222000−2i2i2i−2i000000000000−1−i3−1−i31+i31+i3000000−1−i31+i31+i31+i3−1−i3−1−i3000−2ζ222ζ222ζ22−2ζ22000000000000−1+i3−1+i31−i31−i3000000−1+i31−i31−i31−i3−1+i3−1+i3000−2ζ142ζ142ζ14−2ζ14000000000000
χ952-2-222-22-22-2002−22−200000002−22−22−2000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000
χ962-2-222-22-22-200−22−220000000−22−22−22000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000
χ972-2-222-2-22-22002−22−200000002−2−22−22000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000
χ982-2-222-2-22-2200−22−220000000−222−22−2000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000
χ992-2-22-222-2-22002−22−20000000−222−2−22000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000
χ1002-2-22-222-2-2200−22−2200000002−2−222−2000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000
χ1012-2-22-22-222-2002−22−20000000−22−222−2000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000
χ1022-2-22-22-222-200−22−2200000002−22−2−22000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000
χ10344-4-4000000-4400000000000000000000000−2−2i3−2−2i32+2i32+2i30000002+2i3−2−2i300000000000000000000000−2+2i3−2+2i32−2i32−2i30000002−2i3−2+2i300000000000000000000000
χ1044-44-40000000022−22−22220000000000000000000−2−2i32+2i3−2−2i32+2i300000000−2ζ7+2ζ132ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ130000000000000000000−2+2i32−2i3−2+2i32−2i3000000002ζ5−2ζ23−2ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ230000000000000000000
χ1054-44-400000000−222222−220000000000000000000−2−2i32+2i3−2−2i32+2i3000000002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ130000000000000000000−2+2i32−2i3−2+2i32−2i300000000−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ230000000000000000000

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