Finite Group Databasebeta

← Group #72509

Character table — Group #72509

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444448888881111222222444444444444444488888811112222224444444444444444888888
order124422244422222244444488884444883612126661212126666661212121212122424242412121212242436121266612121266666612121212121224242424121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-111-1-1-1-111-1-11111-1-111-1-11111111111-1-111-1-1-1-111-1-11111-1-111-1-11111111111-1-111-1-1-1-111-1-11111-1-111-1-1
χ61111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ911-1-11-1-111-11-11-1111-11-1-1-1ii−i−ii−ii−ii−i11-1-11-1-111-11-11-1111-11-1-1-1ii−i−ii−ii−ii−i11-1-11-1-111-11-11-1111-11-1-1-1ii−i−ii−ii−ii−i
χ1011-1-11-1-111-11-11-1111-11-1-1-1−i−iii−ii−ii−ii11-1-11-1-111-11-11-1111-11-1-1-1−i−iii−ii−ii−ii11-1-11-1-111-11-11-1111-11-1-1-1−i−iii−ii−ii−ii
χ1111-1-11-1-111-11-1-11-1-11-1-1111ii−i−ii−i−ii−ii11-1-11-1-111-11-1-11-1-11-1-1111ii−i−ii−i−ii−ii11-1-11-1-111-11-1-11-1-11-1-1111ii−i−ii−i−ii−ii
χ1211-1-11-1-111-11-1-11-1-11-1-1111−i−iii−iii−ii−i11-1-11-1-111-11-1-11-1-11-1-1111−i−iii−iii−ii−i11-1-11-1-111-11-1-11-1-11-1-1111−i−iii−iii−ii−i
χ1311-1-11-1-111-1-111-1-1-1-111-111ii−i−i−iii−i−ii11-1-11-1-111-1-111-1-1-1-111-111ii−i−i−iii−i−ii11-1-11-1-111-1-111-1-1-1-111-111ii−i−i−iii−i−ii
χ1411-1-11-1-111-1-111-1-1-1-111-111−i−iiii−i−iii−i11-1-11-1-111-1-111-1-1-1-111-111−i−iiii−i−iii−i11-1-11-1-111-1-111-1-1-1-111-111−i−iiii−i−iii−i
χ1511-1-11-1-111-1-11-1111-11-11-1-1ii−i−i−ii−iii−i11-1-11-1-111-1-11-1111-11-11-1-1ii−i−i−ii−iii−i11-1-11-1-111-1-11-1111-11-11-1-1ii−i−i−ii−iii−i
χ1611-1-11-1-111-1-11-1111-11-11-1-1−i−iiii−ii−i−ii11-1-11-1-111-1-11-1111-11-11-1-1−i−iiii−ii−i−ii11-1-11-1-111-1-11-1111-11-11-1-1−i−iiii−ii−i−ii
χ1722222-2-2-2-2200002-200002-2000000000022222-2-2-2-2200002-200002-2000000000022222-2-2-2-2200002-200002-20000000000
χ1822222-2-2-2-220000-220000-22000000000022222-2-2-2-220000-220000-22000000000022222-2-2-2-220000-220000-220000000000
χ192222-22-22-2-2002-20000-220000000000002222-22-22-2-2002-20000-220000000000002222-22-22-2-2002-20000-22000000000000
χ202222-22-22-2-200-2200002-20000000000002222-22-22-2-200-2200002-20000000000002222-22-22-2-200-2200002-2000000000000
χ212222-2-22-22-22-20000-22000000000000002222-2-22-22-22-20000-22000000000000002222-2-22-22-22-20000-2200000000000000
χ222222-2-22-22-2-2200002-2000000000000002222-2-22-22-2-2200002-2000000000000002222-2-22-22-2-2200002-200000000000000
χ2322-2-2222-2-2-200002-20000-22000000000022-2-2222-2-2-200002-20000-22000000000022-2-2222-2-2-200002-20000-220000000000
χ2422-2-2222-2-2-20000-2200002-2000000000022-2-2222-2-2-20000-2200002-2000000000022-2-2222-2-2-20000-2200002-20000000000
χ2522-2-2-22-2-222220000-2-20000000000000022-2-2-22-2-222220000-2-20000000000000022-2-2-22-2-222220000-2-200000000000000
χ2622-2-2-22-2-222-2-20000220000000000000022-2-2-22-2-222-2-20000220000000000000022-2-2-22-2-222-2-200002200000000000000
χ2722-2-2-2-222-2200220000-2-200000000000022-2-2-2-222-2200220000-2-200000000000022-2-2-2-222-2200220000-2-2000000000000
χ2822-2-2-2-222-2200-2-200002200000000000022-2-2-2-222-2200-2-200002200000000000022-2-2-2-222-2200-2-2000022000000000000
χ294-44i−4i0000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000004-44i−4i0000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000004-44i−4i0000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000
χ304-44i−4i000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000004-44i−4i000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000004-44i−4i000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000
χ314-4−4i4i0000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000004-4−4i4i0000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000004-4−4i4i0000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000
χ324-4−4i4i000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000004-4−4i4i000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000004-4−4i4i000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000
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
χ341111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ35111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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−i32−1−i32−1−i321+i321+i321+i321+i32
χ36111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ371111111111-1-111-1-1-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ381111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ391111111111-1-1-1-111-1-1-1-1111111-1-1-1-111−1+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+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−i321+i321+i321+i321+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−i32
χ401111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4111-1-11-1-111-11-11-1111-11-1-1-1ii−i−ii−ii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ4211-1-11-1-111-11-11-1111-11-1-1-1−i−iii−ii−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ4311-1-11-1-111-11-1-11-1-11-1-1111ii−i−ii−i−ii−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ4411-1-11-1-111-11-1-11-1-11-1-1111−i−iii−iii−ii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ4511-1-11-1-111-1-111-1-1-1-111-111ii−i−i−iii−i−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22
χ4611-1-11-1-111-1-111-1-1-1-111-111−i−iiii−i−iii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ4711-1-11-1-111-1-11-1111-11-11-1-1ii−i−i−ii−iii−i−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22
χ4811-1-11-1-111-1-11-1111-11-11-1-1−i−iiii−ii−i−ii−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22
χ4922222-2-2-2-2200002-200002-20000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i31−i30000−1+i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i31+i30000−1−i31+i30000000000
χ5022222-2-2-2-220000-220000-220000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i300001−i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i300001+i3−1−i30000000000
χ512222-22-22-2-2002-20000-22000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300−1+i31−i300001−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300−1−i31+i300001+i3−1−i3000000000000
χ522222-22-22-2-200-2200002-2000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3001−i3−1+i30000−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3001+i3−1−i30000−1−i31+i3000000000000
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χ542222-2-22-22-2-2200002-200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000−1−i31+i300000000000000
χ5522-2-2222-2-2-200002-20000-220000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000−1+i31−i300001−i3−1+i30000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000−1−i31+i300001+i3−1−i30000000000
χ5622-2-2222-2-2-20000-2200002-20000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i300001−i3−1+i30000−1+i31−i30000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i300001+i3−1−i30000−1−i31+i30000000000
χ5722-2-2-22-2-222220000-2-200000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i300000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i300000000000000
χ5822-2-2-22-2-222-2-200002200000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i3−1+i300000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i3−1−i300000000000000
χ5922-2-2-2-222-2200220000-2-2000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i300001−i31−i3000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i300001+i31+i3000000000000
χ6022-2-2-2-222-2200-2-2000022000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3001−i31−i30000−1+i3−1+i3000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3001+i31+i30000−1−i3−1−i3000000000000
χ614-44i−4i0000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2+2i32−2i34ζ14−4ζ14000000000000000000−2ζ232ζ23−2ζ52ζ5000000−2−2i32+2i34ζ22−4ζ22000000000000000000−2ζ72ζ7−2ζ132ζ13000000
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χ644-4−4i4i000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2+2i32−2i3−4ζ144ζ140000000000000000002ζ5−2ζ52ζ23−2ζ23000000−2−2i32+2i3−4ζ224ζ220000000000000000002ζ13−2ζ132ζ7−2ζ7000000
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
χ661111111111111111111111-1-1-1-1-1-1-1-1-1-1−1−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−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ67111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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+i32−1+i32−1+i321−i321−i321−i321−i32
χ68111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ691111111111-1-111-1-1-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ701111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ711111111111-1-1-1-111-1-1-1-1111111-1-1-1-111−1−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−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+i321−i321−i321−i321−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+i32
χ721111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7311-1-11-1-111-11-11-1111-11-1-1-1ii−i−ii−ii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ7411-1-11-1-111-11-11-1111-11-1-1-1−i−iii−ii−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ7511-1-11-1-111-11-1-11-1-11-1-1111ii−i−ii−i−ii−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ7611-1-11-1-111-11-1-11-1-11-1-1111−i−iii−iii−ii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ7711-1-11-1-111-1-111-1-1-1-111-111ii−i−i−iii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ7811-1-11-1-111-1-111-1-1-1-111-111−i−iiii−i−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ7911-1-11-1-111-1-11-1111-11-11-1-1ii−i−i−ii−iii−i−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ8011-1-11-1-111-1-11-1111-11-11-1-1−i−iiii−ii−i−ii−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ8122222-2-2-2-2200002-200002-20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i31+i30000−1−i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i31−i30000−1+i31−i30000000000
χ8222222-2-2-2-220000-220000-220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300001+i3−1−i300001+i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300001−i3−1+i300001−i3−1+i30000000000
χ832222-22-22-2-2002-20000-22000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i300−1−i31+i300001+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i300−1+i31−i300001−i3−1+i3000000000000
χ842222-22-22-2-200-2200002-2000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3001+i3−1−i30000−1−i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3001−i3−1+i30000−1+i31−i3000000000000
χ852222-2-22-22-22-20000-2200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i300001+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i300001−i3−1+i300000000000000
χ862222-2-22-22-2-2200002-200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000−1+i31−i300000000000000
χ8722-2-2222-2-2-200002-20000-220000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i30000−1−i31+i300001+i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i30000−1+i31−i300001−i3−1+i30000000000
χ8822-2-2222-2-2-20000-2200002-20000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i300001+i3−1−i30000−1−i31+i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i300001−i3−1+i30000−1+i31−i30000000000
χ8922-2-2-22-2-222220000-2-200000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i300000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i300000000000000
χ9022-2-2-22-2-222-2-200002200000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i3−1−i300000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i3−1+i300000000000000
χ9122-2-2-2-222-2200220000-2-2000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i300001+i31+i3000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i300001−i31−i3000000000000
χ9222-2-2-2-222-2200-2-2000022000000000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3001+i31+i30000−1−i3−1−i3000000000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3001−i31−i30000−1+i3−1+i3000000000000
χ934-44i−4i0000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2−2i32+2i34ζ22−4ζ22000000000000000000−2ζ72ζ7−2ζ132ζ13000000−2+2i32−2i34ζ14−4ζ14000000000000000000−2ζ232ζ23−2ζ52ζ5000000
χ944-44i−4i000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2−2i32+2i34ζ22−4ζ220000000000000000002ζ7−2ζ72ζ13−2ζ13000000−2+2i32−2i34ζ14−4ζ140000000000000000002ζ23−2ζ232ζ5−2ζ5000000
χ954-4−4i4i0000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000−2−2i32+2i3−4ζ224ζ22000000000000000000−2ζ132ζ13−2ζ72ζ7000000−2+2i32−2i3−4ζ144ζ14000000000000000000−2ζ52ζ5−2ζ232ζ23000000
χ964-4−4i4i000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2−2i32+2i3−4ζ224ζ220000000000000000002ζ13−2ζ132ζ7−2ζ7000000−2+2i32−2i3−4ζ144ζ140000000000000000002ζ5−2ζ52ζ23−2ζ23000000

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