Finite Group Databasebeta

← Group #11923244

Character table — Group #11923244

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222244444444668888888888881212122222444444888888881212161616161616161616161616242424333366666612121212121212121818242424242424242424242424363636
order12222244443366666644666612121212121212122443666661212121233666666121266661212121212121212612122222224444666666664466661212121212121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111
χ31111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111
χ4111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11
χ5111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11
χ6111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11
χ71111-1-111-1-11111111111-1-1-1-111-1-111-1-1-11-11111-1-111-1-11111111111-1-1-1-111-1-111-1-1-11-11111-1-111-1-11111111111-1-1-1-111-1-111-1-1-11-1
χ81111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-1
χ91111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-1
χ101111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-1
χ111111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1-1
χ121111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1-1
χ132-22-22-22i−2i2i−2i-1-1-1-11111001-11-1i−ii−ii−ii−i0002-22-22-22i−2i2i−2i-1-1-1-11111001-11-1i−ii−ii−ii−i0002-22-22-22i−2i2i−2i-1-1-1-11111001-11-1i−ii−ii−ii−i000
χ142-22-22-22i−2i2i−2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3200−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ70002-22-22-22i−2i2i−2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3200−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ70002-22-22-22i−2i2i−2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3200−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7000
χ152-22-22-22i−2i2i−2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3200−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ110002-22-22-22i−2i2i−2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3200−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ110002-22-22-22i−2i2i−2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3200−1+i321−i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11000
χ162-22-22-2−2i2i−2i2i-1-1-1-11111001-11-1−ii−ii−ii−ii0002-22-22-2−2i2i−2i2i-1-1-1-11111001-11-1−ii−ii−ii−ii0002-22-22-2−2i2i−2i2i-1-1-1-11111001-11-1−ii−ii−ii−ii000
χ172-22-22-2−2i2i−2i2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3200−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ70002-22-22-2−2i2i−2i2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3200−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ70002-22-22-2−2i2i−2i2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3200−1−i321+i32−1+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7000
χ182-22-22-2−2i2i−2i2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3200−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ110002-22-22-2−2i2i−2i2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3200−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ110002-22-22-2−2i2i−2i2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3200−1+i321−i32−1−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11000
χ192-22-2-222i−2i−2i2i-1-1-1-1111100-11-11i−i−iii−i−ii0002-22-2-222i−2i−2i2i-1-1-1-1111100-11-11i−i−iii−i−ii0002-22-2-222i−2i−2i2i-1-1-1-1111100-11-11i−i−iii−i−ii000
χ202-22-2-222i−2i−2i2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32001+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ70002-22-2-222i−2i−2i2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32001+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ70002-22-2-222i−2i−2i2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32001+i32−1−i321−i32−1+i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7000
χ212-22-2-222i−2i−2i2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32001−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ110002-22-2-222i−2i−2i2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32001−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ110002-22-2-222i−2i−2i2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32001−i32−1+i321+i32−1−i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11000
χ222-22-2-22−2i2i2i−2i-1-1-1-1111100-11-11−iii−i−iii−i0002-22-2-22−2i2i2i−2i-1-1-1-1111100-11-11−iii−i−iii−i0002-22-2-22−2i2i2i−2i-1-1-1-1111100-11-11−iii−i−iii−i000
χ232-22-2-22−2i2i2i−2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32001+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ70002-22-2-22−2i2i2i−2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32001+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ70002-22-2-22−2i2i2i−2i1+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32001+i32−1−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7000
χ242-22-2-22−2i2i2i−2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32001−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ110002-22-2-22−2i2i2i−2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32001−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ110002-22-2-22−2i2i2i−2i1−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32001−i32−1+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11000
χ252-2-2200000022-2-22-22-22-20000000000000002-2-2200000022-2-22-22-22-20000000000000002-2-2200000022-2-22-22-22-2000000000000000
χ262-2-22000000−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32-20000000000000002-2-22000000−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32-20000000000000002-2-22000000−1−i3−1+i31+i31−i3−1−i31+i3−1+i31−i32-2000000000000000
χ272-2-22000000−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32-20000000000000002-2-22000000−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32-20000000000000002-2-22000000−1+i3−1−i31−i31+i3−1+i31−i3−1−i31+i32-2000000000000000
χ28333333333300000000-1-1000000000000-1-1-1333333333300000000-1-1000000000000-1-1-1333333333300000000-1-1000000000000-1-1-1
χ29333333-3-3-3-300000000-1-100000000000011-1333333-3-3-3-300000000-1-100000000000011-1333333-3-3-3-300000000-1-100000000000011-1
χ303333-3-333-3-300000000-1-10000000000001-113333-3-333-3-300000000-1-10000000000001-113333-3-333-3-300000000-1-10000000000001-11
χ313333-3-3-3-33300000000-1-1000000000000-1113333-3-3-3-33300000000-1-1000000000000-1113333-3-3-3-33300000000-1-1000000000000-111
χ3244-4-4000000-2-2222-22-20000000000000000044-4-4000000-2-2222-22-20000000000000000044-4-4000000-2-2222-22-200000000000000000
χ3344-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000044-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i30000000000000000044-4-40000001+i31−i3−1−i3−1+i3−1−i31+i3−1+i31−i300000000000000000
χ3444-4-40000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000044-4-40000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i30000000000000000044-4-40000001−i31+i3−1+i3−1−i3−1+i31−i3−1−i31+i300000000000000000
χ356-6-6600000000000000-220000000000000006-6-6600000000000000-220000000000000006-6-6600000000000000-22000000000000000
χ361111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ371111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1
χ381111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1
χ39111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ40111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11-1-1-1-1-1-111111+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1
χ41111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11-1-1-1-1-1-111111−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1
χ421111-1-111-1-11111111111-1-1-1-111-1-111-1-1-11-11111-1-111-1-11111111111-1-1-1-111-1-111-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-11
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χ441111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-1-1-1-1-111-1-1111−i321+i321−i321+i321−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11
χ451111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111
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χ904-44-4-444i−4i−4i4i1+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3001+i3−1−i31−i3−1+i32ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000-22-222-2−2i2i2i−2i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3200−1−i321+i32−1+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ700000000000000000000000000000000000000
χ914-44-4-444i−4i−4i4i1−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3001−i3−1+i31+i3−1−i32ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000-22-222-2−2i2i2i−2i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3200−1+i321−i32−1−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ1100000000000000000000000000000000000000
χ924-44-4-44−4i4i4i−4i-2-2-2-2222200-22-22−2i2i2i−2i−2i2i2i−2i000-22-222-22i−2i−2i2i1111-1-1-1-1001-11-1i−i−iii−i−ii00000000000000000000000000000000000000
χ934-44-4-44−4i4i4i−4i1+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3001+i3−1−i31−i3−1+i3−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000-22-222-22i−2i−2i2i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3200−1−i321+i32−1+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ700000000000000000000000000000000000000
χ944-44-4-44−4i4i4i−4i1−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3001−i3−1+i31+i3−1−i3−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000-22-222-22i−2i−2i2i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3200−1+i321−i32−1−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ1100000000000000000000000000000000000000
χ954-4-4400000044-4-44-44-44-4000000000000000-222-2000000-2-222-22-22-2200000000000000000000000000000000000000000000000000
χ964-4-44000000−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i34-4000000000000000-222-20000001+i31−i3−1−i3−1+i31+i3−1−i31−i3−1+i3-2200000000000000000000000000000000000000000000000000
χ974-4-44000000−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i34-4000000000000000-222-20000001−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i3-2200000000000000000000000000000000000000000000000000
χ98666666666600000000-2-2000000000000-2-2-2-3-3-3-3-3-3-3-3-3-3000000001100000000000011100000000000000000000000000000000000
χ99666666-6-6-6-600000000-2-200000000000022-2-3-3-3-3-3-333330000000011000000000000-1-1100000000000000000000000000000000000
χ1006666-6-666-6-600000000-2-20000000000002-22-3-3-3-333-3-3330000000011000000000000-11-100000000000000000000000000000000000
χ1016666-6-6-6-66600000000-2-2000000000000-222-3-3-3-33333-3-300000000110000000000001-1-100000000000000000000000000000000000
χ10288-8-8000000-4-4444-44-400000000000000000-4-44400000022-2-2-22-220000000000000000000000000000000000000000000000000000
χ10388-8-80000002+2i32−2i3−2−2i3−2+2i3−2−2i32+2i3−2+2i32−2i300000000000000000-4-444000000−1−i3−1+i31+i31−i31+i3−1−i31−i3−1+i30000000000000000000000000000000000000000000000000000
χ10488-8-80000002−2i32+2i3−2+2i3−2−2i3−2+2i32−2i3−2−2i32+2i300000000000000000-4-444000000−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i30000000000000000000000000000000000000000000000000000
χ10512-12-121200000000000000-44000000000000000-666-6000000000000002-200000000000000000000000000000000000000000000000000

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