Finite Group Databasebeta

← Group #72178

Character table — Group #72178

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order12222222224444444444444488888888366666666612121212121212121212121212122424242424242424366666666612121212121212121212121212122424242424242424
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
χ311111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i
χ61111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii1111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii
χ71111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1
χ10111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11
χ11111111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11111111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11111111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11
χ12111111-1-1-1-11111-1-111-1-1-1-111-11-111-11-1111111-1-1-1-11111-1-111-1-1-1-111-11-111-11-1111111-1-1-1-11111-1-111-1-1-1-111-11-111-11-1
χ13111111-1-1-1-1-1-1-1-111-1-111-1-111i−i−iii−i−ii111111-1-1-1-1-1-1-1-111-1-111-1-111i−i−iii−i−ii111111-1-1-1-1-1-1-1-111-1-111-1-111i−i−iii−i−ii
χ14111111-1-1-1-1-1-1-1-111-1-111-1-111−iii−i−iii−i111111-1-1-1-1-1-1-1-111-1-111-1-111−iii−i−iii−i111111-1-1-1-1-1-1-1-111-1-111-1-111−iii−i−iii−i
χ15111111-1-1-1-1-1-1-1-1-1-1111111-1-1i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1111111-1-1i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1111111-1-1i−i−ii−iii−i
χ16111111-1-1-1-1-1-1-1-1-1-1111111-1-1−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1111111-1-1−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1111111-1-1−iii−ii−i−ii
χ172222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-2000000000000
χ182222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-22000000000000
χ192222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-22000000000000
χ202222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-2000000000000
χ212-22-22-200002i−2i2i−2i002-200002i−2i000000002-22-22-200002i−2i2i−2i002-200002i−2i000000002-22-22-200002i−2i2i−2i002-200002i−2i00000000
χ222-22-22-200002i−2i2i−2i00-220000−2i2i000000002-22-22-200002i−2i2i−2i00-220000−2i2i000000002-22-22-200002i−2i2i−2i00-220000−2i2i00000000
χ232-22-22-20000−2i2i−2i2i002-20000−2i2i000000002-22-22-20000−2i2i−2i2i002-20000−2i2i000000002-22-22-20000−2i2i−2i2i002-20000−2i2i00000000
χ242-22-22-20000−2i2i−2i2i00-2200002i−2i000000002-22-22-20000−2i2i−2i2i00-2200002i−2i000000002-22-22-20000−2i2i−2i2i00-2200002i−2i00000000
χ252-22-2-2200002i−2i−2i2i2-200002i−2i00000000002-22-2-2200002i−2i−2i2i2-200002i−2i00000000002-22-2-2200002i−2i−2i2i2-200002i−2i0000000000
χ262-22-2-2200002i−2i−2i2i-220000−2i2i00000000002-22-2-2200002i−2i−2i2i-220000−2i2i00000000002-22-2-2200002i−2i−2i2i-220000−2i2i0000000000
χ272-22-2-220000−2i2i2i−2i2-20000−2i2i00000000002-22-2-220000−2i2i2i−2i2-20000−2i2i00000000002-22-2-220000−2i2i2i−2i2-20000−2i2i0000000000
χ282-22-2-220000−2i2i2i−2i-2200002i−2i00000000002-22-2-220000−2i2i2i−2i-2200002i−2i00000000002-22-2-220000−2i2i2i−2i-2200002i−2i0000000000
χ2944-4-400004-4000000000000000000000044-4-400004-4000000000000000000000044-4-400004-40000000000000000000000
χ3044-4-40000-44000000000000000000000044-4-40000-44000000000000000000000044-4-40000-440000000000000000000000
χ314-4-44004-40000000000000000000000004-4-44004-40000000000000000000000004-4-44004-4000000000000000000000000
χ324-4-4400-440000000000000000000000004-4-4400-440000000000000000000000004-4-4400-44000000000000000000000000
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
χ3511111111111111-1-1-1-111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3611111111111111-1-1-1-111-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ371111111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i−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+i321−i321−i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−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−i321+i321+i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ381111111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii−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+i321−i321−i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−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−i321+i321+i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ391111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−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−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−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+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ401111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−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−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−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+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ41111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ42111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11−1+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−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−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+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ43111111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ44111111-1-1-1-11111-1-111-1-1-1-111-11-111-11-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ45111111-1-1-1-1-1-1-1-111-1-111-1-111i−i−iii−i−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ46111111-1-1-1-1-1-1-1-111-1-111-1-111−iii−i−iii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ47111111-1-1-1-1-1-1-1-1-1-1111111-1-1i−i−ii−iii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11
χ48111111-1-1-1-1-1-1-1-1-1-1111111-1-1−iii−ii−i−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11
χ492222-2-222-2-222-2-200002-2000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i3000000000000
χ502222-2-222-2-2-2-2220000-22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i3−1−i3000000000000
χ512222-2-2-2-22222-2-20000-22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i3000000000000
χ522222-2-2-2-222-2-22200002-2000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i3000000000000
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χ73111111-1-1-1-1111111-1-1-1-111-1-11-11-11-11-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ74111111-1-1-1-1111111-1-1-1-111-1-1-11-11-11-11−1−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+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+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−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ75111111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ76111111-1-1-1-11111-1-111-1-1-1-111-11-111-11-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ77111111-1-1-1-1-1-1-1-111-1-111-1-111i−i−iii−i−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ78111111-1-1-1-1-1-1-1-111-1-111-1-111−iii−i−iii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ79111111-1-1-1-1-1-1-1-1-1-1111111-1-1i−i−ii−iii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ80111111-1-1-1-1-1-1-1-1-1-1111111-1-1−iii−ii−i−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
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χ912-22-2-220000−2i2i2i−2i2-20000−2i2i0000000000−1−i31+i3−1−i31+i31+i3−1−i30000−2ζ112ζ112ζ11−2ζ11−1−i31+i30000−2ζ112ζ110000000000−1+i31−i3−1+i31−i31−i3−1+i30000−2ζ72ζ72ζ7−2ζ7−1+i31−i30000−2ζ72ζ70000000000
χ922-22-2-220000−2i2i2i−2i-2200002i−2i0000000000−1−i31+i3−1−i31+i31+i3−1−i30000−2ζ112ζ112ζ11−2ζ111+i3−1−i300002ζ11−2ζ110000000000−1+i31−i3−1+i31−i31−i3−1+i30000−2ζ72ζ72ζ7−2ζ71−i3−1+i300002ζ7−2ζ70000000000
χ9344-4-400004-40000000000000000000000−2−2i3−2−2i32+2i32+2i30000−2−2i32+2i30000000000000000000000−2+2i3−2+2i32−2i32−2i30000−2+2i32−2i30000000000000000000000
χ9444-4-40000-440000000000000000000000−2−2i3−2−2i32+2i32+2i300002+2i3−2−2i30000000000000000000000−2+2i3−2+2i32−2i32−2i300002−2i3−2+2i30000000000000000000000
χ954-4-44004-4000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3000000000000000000000000
χ964-4-4400-44000000000000000000000000−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i3000000000000000000000000−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i3000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.