Finite Group Databasebeta

← Group #11792350

Character table — Group #11792350

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112222222222244444488888888888888888824242424242424241122222222222444444888888888888888888242424242424242411222222222224444448888888888888888882424242424242424
order12222344446121266612121224444466121212121212121212122444888836666312121212612126661212126121212121266121212121212121212126121212242424243666631212121261212666121212612121212126612121212121212121212612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222-2-2-2-22-2-2222-2-2-2002-200000022-2-2000000000000222222-2-2-2-22-2-2222-2-2-2002-200000022-2-2000000000000222222-2-2-2-22-2-2222-2-2-2002-200000022-2-2000000000000
χ10222222-2-2-2-22-2-2222-2-2-200-22000000-2-222000000000000222222-2-2-2-22-2-2222-2-2-200-22000000-2-222000000000000222222-2-2-2-22-2-2222-2-2-200-22000000-2-222000000000000
χ1122222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ1522222-1-2-2-2-2-111-1-1-1111002-200−i3i3−i3i3-1-111−i3−i3i3i30000000022222-1-2-2-2-2-111-1-1-1111002-200−i3i3−i3i3-1-111−i3−i3i3i30000000022222-1-2-2-2-2-111-1-1-1111002-200−i3i3−i3i3-1-111−i3−i3i3i300000000
χ1622222-1-2-2-2-2-111-1-1-1111002-200i3−i3i3−i3-1-111i3i3−i3−i30000000022222-1-2-2-2-2-111-1-1-1111002-200i3−i3i3−i3-1-111i3i3−i3−i30000000022222-1-2-2-2-2-111-1-1-1111002-200i3−i3i3−i3-1-111i3i3−i3−i300000000
χ1722222-1-2-2-2-2-111-1-1-111100-2200−i3i3−i3i311-1-1i3i3−i3−i30000000022222-1-2-2-2-2-111-1-1-111100-2200−i3i3−i3i311-1-1i3i3−i3−i30000000022222-1-2-2-2-2-111-1-1-111100-2200−i3i3−i3i311-1-1i3i3−i3−i300000000
χ1822222-1-2-2-2-2-111-1-1-111100-2200i3−i3i3−i311-1-1−i3−i3i3i30000000022222-1-2-2-2-2-111-1-1-111100-2200i3−i3i3−i311-1-1−i3−i3i3i30000000022222-1-2-2-2-2-111-1-1-111100-2200i3−i3i3−i311-1-1−i3−i3i3i300000000
χ19222-2-2222-2-22222-2-22-2-200002i−2i000000002i−2i2i−2i00000000222-2-2222-2-22222-2-22-2-200002i−2i000000002i−2i2i−2i00000000222-2-2222-2-22222-2-22-2-200002i−2i000000002i−2i2i−2i00000000
χ20222-2-2222-2-22222-2-22-2-20000−2i2i00000000−2i2i−2i2i00000000222-2-2222-2-22222-2-22-2-20000−2i2i00000000−2i2i−2i2i00000000222-2-2222-2-22222-2-22-2-20000−2i2i00000000−2i2i−2i2i00000000
χ21222-2-22-2-2222-2-22-2-2-2222-2000022-2-20000000000000000222-2-22-2-2222-2-22-2-2-2222-2000022-2-20000000000000000222-2-22-2-2222-2-22-2-2-2222-2000022-2-20000000000000000
χ22222-2-22-2-2222-2-22-2-2-222-220000-2-2220000000000000000222-2-22-2-2222-2-22-2-2-222-220000-2-2220000000000000000222-2-22-2-2222-2-22-2-2-222-220000-2-2220000000000000000
χ23222-2-2-122-2-2-1-1-1-111-11100002i−2i−i3i3i3−i33−33−3−ii−ii00000000222-2-2-122-2-2-1-1-1-111-11100002i−2i−i3i3i3−i33−33−3−ii−ii00000000222-2-2-122-2-2-1-1-1-111-11100002i−2i−i3i3i3−i33−33−3−ii−ii00000000
χ24222-2-2-122-2-2-1-1-1-111-11100002i−2ii3−i3−i3i3−33−33−ii−ii00000000222-2-2-122-2-2-1-1-1-111-11100002i−2ii3−i3−i3i3−33−33−ii−ii00000000222-2-2-122-2-2-1-1-1-111-11100002i−2ii3−i3−i3i3−33−33−ii−ii00000000
χ25222-2-2-122-2-2-1-1-1-111-1110000−2i2i−i3i3i3−i3−33−33i−ii−i00000000222-2-2-122-2-2-1-1-1-111-1110000−2i2i−i3i3i3−i3−33−33i−ii−i00000000222-2-2-122-2-2-1-1-1-111-1110000−2i2i−i3i3i3−i3−33−33i−ii−i00000000
χ26222-2-2-122-2-2-1-1-1-111-1110000−2i2ii3−i3−i3i33−33−3i−ii−i00000000222-2-2-122-2-2-1-1-1-111-1110000−2i2ii3−i3−i3i33−33−3i−ii−i00000000222-2-2-122-2-2-1-1-1-111-1110000−2i2ii3−i3−i3i33−33−3i−ii−i00000000
χ27222-2-2-1-2-222-111-1111-1-12-20000-1-1113−3−333−3−3300000000222-2-2-1-2-222-111-1111-1-12-20000-1-1113−3−333−3−3300000000222-2-2-1-2-222-111-1111-1-12-20000-1-1113−3−333−3−3300000000
χ28222-2-2-1-2-222-111-1111-1-12-20000-1-111−333−3−333−300000000222-2-2-1-2-222-111-1111-1-12-20000-1-111−333−3−333−300000000222-2-2-1-2-222-111-1111-1-12-20000-1-111−333−3−333−300000000
χ29222-2-2-1-2-222-111-1111-1-1-22000011-1-13−3−33−333−300000000222-2-2-1-2-222-111-1111-1-1-22000011-1-13−3−33−333−300000000222-2-2-1-2-222-111-1111-1-1-22000011-1-13−3−33−333−300000000
χ30222-2-2-1-2-222-111-1111-1-1-22000011-1-1−333−33−3−3300000000222-2-2-1-2-222-111-1111-1-1-22000011-1-1−333−33−3−3300000000222-2-2-1-2-222-111-1111-1-1-22000011-1-1−333−33−3−3300000000
χ3122-22-222-22-2222-22-2-22-20000000000000000002-200000022-22-222-22-2222-22-2-22-20000000000000000002-200000022-22-222-22-2222-22-2-22-20000000000000000002-2000000
χ3222-22-222-22-2222-22-2-22-2000000000000000000-2200000022-22-222-22-2222-22-2-22-2000000000000000000-2200000022-22-222-22-2222-22-2-22-2000000000000000000-22000000
χ3322-22-22-22-222-2-2-22-22-22000000000000000000002-2000022-22-22-22-222-2-2-22-22-22000000000000000000002-2000022-22-22-22-222-2-2-22-22-22000000000000000000002-20000
χ3422-22-22-22-222-2-2-22-22-2200000000000000000000-22000022-22-22-22-222-2-2-22-22-2200000000000000000000-22000022-22-22-22-222-2-2-22-22-2200000000000000000000-220000
χ3522-2-2222-2-22222-2-22-2-220000000000000000000000002-222-2-2222-2-22222-2-22-2-220000000000000000000000002-222-2-2222-2-22222-2-22-2-220000000000000000000000002-2
χ3622-2-2222-2-22222-2-22-2-22000000000000000000000000-2222-2-2222-2-22222-2-22-2-22000000000000000000000000-2222-2-2222-2-22222-2-22-2-22000000000000000000000000-22
χ3722-2-222-222-22-2-2-2-2222-200000000000000000000002-20022-2-222-222-22-2-2-2-2222-200000000000000000000002-20022-2-222-222-22-2-2-2-2222-200000000000000000000002-200
χ3822-2-222-222-22-2-2-2-2222-20000000000000000000000-220022-2-222-222-22-2-2-2-2222-20000000000000000000000-220022-2-222-222-22-2-2-2-2222-20000000000000000000000-2200
χ3944-44-4-24-44-4-2-2-22-222-220000000000000000000000000044-44-4-24-44-4-2-2-22-222-220000000000000000000000000044-44-4-24-44-4-2-2-22-222-2200000000000000000000000000
χ4044-44-4-2-44-44-2222-22-22-20000000000000000000000000044-44-4-2-44-44-2222-22-22-20000000000000000000000000044-44-4-2-44-44-2222-22-22-200000000000000000000000000
χ4144-4-44-24-4-44-2-2-222-222-20000000000000000000000000044-4-44-24-4-44-2-2-222-222-20000000000000000000000000044-4-44-24-4-44-2-2-222-222-200000000000000000000000000
χ4244-4-44-2-444-4-22222-2-2-220000000000000000000000000044-4-44-2-444-4-22222-2-2-220000000000000000000000000044-4-44-2-444-4-22222-2-2-2200000000000000000000000000
χ438-800080000-800000000000000000000000000000000008-800080000-800000000000000000000000000000000008-800080000-80000000000000000000000000000000000
χ448-8000-40000443−43000000000000000000000000000000008-8000-40000443−43000000000000000000000000000000008-8000-40000443−4300000000000000000000000000000000
χ458-8000-400004−4343000000000000000000000000000000008-8000-400004−4343000000000000000000000000000000008-8000-400004−434300000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+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−i32−1−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
χ48111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1−1+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+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ49111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ501111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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+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+i32−1−i32−1−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−i321+i321+i321+i321+i32
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+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
χ521111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i32−1−i32−1−i32
χ531111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ54222222-2-2-2-22-2-2222-2-2-2002-200000022-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i300−1+i31−i3000000−1+i3−1+i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i300−1−i31+i3000000−1−i3−1−i31+i31+i3000000000000
χ55222222-2-2-2-22-2-2222-2-2-200-22000000-2-222000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3001−i3−1+i30000001−i31−i3−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3001+i3−1−i30000001+i31+i3−1−i3−1−i3000000000000
χ5622222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ5722222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ5822222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ5922222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000
χ6022222-1-2-2-2-2-111-1-1-1111002-200−i3i3−i3i3-1-111−i3−i3i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3200−1+i31−i3003+i32−3−i323+i32−3−i321−i321−i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3200−1−i31+i300−3+i323−i32−3+i323−i321+i321+i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000
χ6122222-1-2-2-2-2-111-1-1-1111002-200i3−i3i3−i3-1-111i3i3−i3−i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3200−1+i31−i300−3−i323+i32−3−i323+i321−i321−i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3200−1−i31+i3003−i32−3+i323−i32−3+i321+i321+i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000
χ6222222-1-2-2-2-2-111-1-1-111100-2200−i3i3−i3i311-1-1i3i3−i3−i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32001−i3−1+i3003+i32−3−i323+i32−3−i32−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32001+i3−1−i300−3+i323−i32−3+i323−i32−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000
χ6322222-1-2-2-2-2-111-1-1-111100-2200i3−i3i3−i311-1-1−i3−i3i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32001−i3−1+i300−3−i323+i32−3−i323+i32−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32001+i3−1−i3003−i32−3+i323−i32−3+i32−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i3200000000
χ64222-2-2222-2-22222-2-22-2-200002i−2i000000002i−2i2i−2i00000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300002ζ7−2ζ7000000002ζ7−2ζ72ζ7−2ζ700000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300002ζ11−2ζ11000000002ζ11−2ζ112ζ11−2ζ1100000000
χ65222-2-2222-2-22222-2-22-2-20000−2i2i00000000−2i2i−2i2i00000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−2ζ72ζ700000000−2ζ72ζ7−2ζ72ζ700000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−2ζ112ζ1100000000−2ζ112ζ11−2ζ112ζ1100000000
χ66222-2-22-2-2222-2-22-2-2-2222-2000022-2-20000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i3−1−i31+i31+i30000000000000000
χ67222-2-22-2-2222-2-22-2-2-222-220000-2-2220000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i300001−i31−i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i300001+i31+i3−1−i3−1−i30000000000000000
χ68222-2-2-122-2-2-1-1-1-111-11100002i−2i−i3i3i3−i33−33−3−ii−ii00000000−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200002ζ7−2ζ73+i32−3−i32−3−i323+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7ζ7−ζ7ζ700000000−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200002ζ11−2ζ11−3+i323−i323−i32−3+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−ζ11ζ11−ζ11ζ1100000000
χ69222-2-2-122-2-2-1-1-1-111-11100002i−2ii3−i3−i3i3−33−33−ii−ii00000000−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i3200002ζ7−2ζ7−3−i323+i323+i32−3−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7ζ7−ζ7ζ700000000−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i3200002ζ11−2ζ113−i32−3+i32−3+i323−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−ζ11ζ11−ζ11ζ1100000000
χ70222-2-2-122-2-2-1-1-1-111-1110000−2i2i−i3i3i3−i3−33−33i−ii−i00000000−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i320000−2ζ72ζ73+i32−3−i32−3−i323+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7−ζ7ζ7−ζ700000000−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i320000−2ζ112ζ11−3+i323−i323−i32−3+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11ζ11−ζ11ζ11−ζ1100000000
χ71222-2-2-122-2-2-1-1-1-111-1110000−2i2ii3−i3−i3i33−33−3i−ii−i00000000−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i320000−2ζ72ζ7−3−i323+i323+i32−3−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7−ζ7ζ7−ζ700000000−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i320000−2ζ112ζ113−i32−3+i32−3+i323−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11ζ11−ζ11ζ11−ζ1100000000
χ72222-2-2-1-2-222-111-1111-1-12-20000-1-1113−3−333−3−3300000000−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i300001−i321−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i300001+i321+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ73222-2-2-1-2-222-111-1111-1-12-20000-1-111−333−3−333−300000000−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i300001−i321−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i300001+i321+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000
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χ10322222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ10422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ10522222-1-2-2-2-2-111-1-1-1111002-200−i3i3−i3i3-1-111−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3200−1−i31+i300−3+i323−i32−3+i323−i321+i321+i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3200−1+i31−i3003+i32−3−i323+i32−3−i321−i321−i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000
χ10622222-1-2-2-2-2-111-1-1-1111002-200i3−i3i3−i3-1-111i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i3200−1−i31+i3003−i32−3+i323−i32−3+i321+i321+i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i3200−1+i31−i300−3−i323+i32−3−i323+i321−i321−i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000
χ10722222-1-2-2-2-2-111-1-1-111100-2200−i3i3−i3i311-1-1i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32001+i3−1−i300−3+i323−i32−3+i323−i32−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32001−i3−1+i3003+i32−3−i323+i32−3−i32−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000
χ10822222-1-2-2-2-2-111-1-1-111100-2200i3−i3i3−i311-1-1−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32001+i3−1−i3003−i32−3+i323−i32−3+i32−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32001−i3−1+i300−3−i323+i32−3−i323+i32−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i3200000000
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χ111222-2-22-2-2222-2-22-2-2-2222-2000022-2-20000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i3−1+i31−i31−i30000000000000000
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χ13044-44-4-2-44-44-2222-22-22-200000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32+2i3−2−2i32+2i3−2−2i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32−2i3−2+2i32−2i3−2+2i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300000000000000000000000000
χ13144-4-44-24-4-44-2-2-222-222-200000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i300000000000000000000000000
χ13244-4-44-2-444-4-22222-2-2-2200000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i300000000000000000000000000
χ1338-800080000-80000000000000000000000000000000000−4−4i34+4i3000−4−4i300004+4i30000000000000000000000000000000000−4+4i34−4i3000−4+4i300004−4i30000000000000000000000000000000000
χ1348-8000-40000443−4300000000000000000000000000000000−4−4i34+4i30002+2i30000−2−2i38ζ7+4ζ11−8ζ7−4ζ1100000000000000000000000000000000−4+4i34−4i30002−2i30000−2+2i3−4ζ7−8ζ114ζ7+8ζ1100000000000000000000000000000000
χ1358-8000-400004−434300000000000000000000000000000000−4−4i34+4i30002+2i30000−2−2i3−8ζ7−4ζ118ζ7+4ζ1100000000000000000000000000000000−4+4i34−4i30002−2i30000−2+2i34ζ7+8ζ11−4ζ7−8ζ1100000000000000000000000000000000

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