Finite Group Databasebeta

← Group #72752

Character table — Group #72752

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244448888888888881111222222444488888888888811112222224444888888888888
order1222224444444422244444888836666612121212121212126661212121212242424243666661212121212121212666121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-111-1-1-1-1-11111111111111111-1-1-111-1-1-1-1-11111111111111111-1-1-111-1-1-1-1-1
χ311111111111111-1-11-11-1-1-111-1-111111111111111-1-11-11-1-1-111-1-111111111111111-1-11-11-1-1-111-1-1
χ411111111111111-1-1-11-1-1-11-1-11111111111111111-1-1-11-1-1-11-1-11111111111111111-1-1-11-1-1-11-1-111
χ51111111111-1-1-1-111111-1-11-1-1-1-11111111111-1-1-1-111111-1-11-1-1-1-11111111111-1-1-1-111111-1-11-1-1-1-1
χ61111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-11-1111-1-1-1111111111111-1-1-1-1-1-11-1111-1-1-1111111111111-1-1-1-1-1-11-1111-1-1-111
χ81111111111-1-1-1-1-1-1-11-111111-1-11111111111-1-1-1-1-1-1-11-111111-1-11111111111-1-1-1-1-1-1-11-111111-1-1
χ9222222-2-2-2-200002-20000000000222222-2-2-2-200002-20000000000222222-2-2-2-200002-20000000000
χ10222222-2-2-2-20000-220000000000222222-2-2-2-20000-220000000000222222-2-2-2-20000-220000000000
χ112222-2-22-22-200000002000-200002222-2-22-22-200000002000-200002222-2-22-22-200000002000-20000
χ122222-2-22-22-20000000-2000200002222-2-22-22-20000000-2000200002222-2-22-22-20000000-200020000
χ132222-2-2-22-2200000020-200000002222-2-2-22-2200000020-200000002222-2-2-22-2200000020-20000000
χ142222-2-2-22-22000000-20200000002222-2-2-22-22000000-20200000002222-2-2-22-22000000-2020000000
χ152-22-22-22-2-222i2i−2i−2i0000000000002-22-22-22-2-222i2i−2i−2i0000000000002-22-22-22-2-222i2i−2i−2i000000000000
χ162-22-22-22-2-22−2i−2i2i2i0000000000002-22-22-22-2-22−2i−2i2i2i0000000000002-22-22-22-2-22−2i−2i2i2i000000000000
χ172-22-22-2-222-20000000002i−2i000002-22-22-2-222-20000000002i−2i000002-22-22-2-222-20000000002i−2i00000
χ182-22-22-2-222-2000000000−2i2i000002-22-22-2-222-2000000000−2i2i000002-22-22-2-222-2000000000−2i2i00000
χ192-22-2-2222-2-2000000000000002i−2i2-22-2-2222-2-2000000000000002i−2i2-22-2-2222-2-2000000000000002i−2i
χ202-22-2-2222-2-200000000000000−2i2i2-22-2-2222-2-200000000000000−2i2i2-22-2-2222-2-200000000000000−2i2i
χ212-22-2-22-2-2220000000000002-2002-22-2-22-2-2220000000000002-2002-22-2-22-2-2220000000000002-200
χ222-22-2-22-2-222000000000000-22002-22-2-22-2-222000000000000-22002-22-2-22-2-222000000000000-2200
χ2344-4-40000002i−2i2i−2i00000000000044-4-40000002i−2i2i−2i00000000000044-4-40000002i−2i2i−2i000000000000
χ2444-4-4000000−2i2i−2i2i00000000000044-4-4000000−2i2i−2i2i00000000000044-4-4000000−2i2i−2i2i000000000000
χ254-4-440000002-2-220000000000004-4-440000002-2-220000000000004-4-440000002-2-22000000000000
χ264-4-44000000-222-20000000000004-4-44000000-222-20000000000004-4-44000000-222-2000000000000
χ2711111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ281111111111111111-1-1-111-1-1-1-1-1−1+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+i321−i321−i321−i32−1+i32−1+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+i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ2911111111111111-1-11-11-1-1-111-1-1−1+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+i321−i321−i32−1+i321−i32−1+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−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ3011111111111111-1-1-11-1-1-11-1-111−1+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+i321−i321−i321−i32−1+i321−i321−i321−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−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ311111111111-1-1-1-111111-1-11-1-1-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ321111111111-1-1-1-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ331111111111-1-1-1-1-1-11-1111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+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+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ341111111111-1-1-1-1-1-1-11-111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+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+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ35222222-2-2-2-200002-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i30000000000
χ36222222-2-2-2-20000-220000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i30000000000
χ372222-2-22-22-200000002000-20000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000000−1+i30001−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000000−1−i30001+i30000
χ382222-2-22-22-20000000-200020000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000001−i3000−1+i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000001+i3000−1−i30000
χ392222-2-2-22-2200000020-20000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000−1+i301−i30000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000−1−i301+i30000000
χ402222-2-2-22-22000000-2020000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000001−i30−1+i30000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000001+i30−1−i30000000
χ412-22-22-22-2-222i2i−2i−2i000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i32ζ72ζ7−2ζ7−2ζ7000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i32ζ112ζ11−2ζ11−2ζ11000000000000
χ422-22-22-22-2-22−2i−2i2i2i000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−2ζ7−2ζ72ζ72ζ7000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−2ζ11−2ζ112ζ112ζ11000000000000
χ432-22-22-2-222-20000000002i−2i00000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i30000000002ζ7−2ζ700000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i30000000002ζ11−2ζ1100000
χ442-22-22-2-222-2000000000−2i2i00000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3000000000−2ζ72ζ700000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3000000000−2ζ112ζ1100000
χ452-22-2-2222-2-2000000000000002i−2i−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000000002ζ7−2ζ7−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000000002ζ11−2ζ11
χ462-22-2-2222-2-200000000000000−2i2i−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i300000000000000−2ζ72ζ7−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i300000000000000−2ζ112ζ11
χ472-22-2-22-2-2220000000000002-200−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000−1+i31−i300−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000−1−i31+i300
χ482-22-2-22-2-222000000000000-2200−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000000001−i3−1+i300−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000000001+i3−1−i300
χ4944-4-40000002i−2i2i−2i000000000000−2+2i3−2+2i32−2i32−2i30000002ζ7−2ζ72ζ7−2ζ7000000000000−2−2i3−2−2i32+2i32+2i30000002ζ11−2ζ112ζ11−2ζ11000000000000
χ5044-4-4000000−2i2i−2i2i000000000000−2+2i3−2+2i32−2i32−2i3000000−2ζ72ζ7−2ζ72ζ7000000000000−2−2i3−2−2i32+2i32+2i3000000−2ζ112ζ11−2ζ112ζ11000000000000
χ514-4-440000002-2-22000000000000−2+2i32−2i32−2i3−2+2i3000000−1+i31−i31−i3−1+i3000000000000−2−2i32+2i32+2i3−2−2i3000000−1−i31+i31+i3−1−i3000000000000
χ524-4-44000000-222-2000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i3−1+i31−i3000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i3−1−i31+i3000000000000
χ5311111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ541111111111111111-1-1-111-1-1-1-1-1−1−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−i321+i321+i321+i32−1−i32−1−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−i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ5511111111111111-1-11-11-1-1-111-1-1−1−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−i321+i321+i32−1−i321+i32−1−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+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ5611111111111111-1-1-11-1-1-11-1-111−1−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−i321+i321+i321+i32−1−i321+i321+i321+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+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ571111111111-1-1-1-111111-1-11-1-1-1-1−1−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−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32
χ581111111111-1-1-1-111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ591111111111-1-1-1-1-1-11-1111-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−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−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ601111111111-1-1-1-1-1-1-11-111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−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−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ61222222-2-2-2-200002-20000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i30000000000
χ62222222-2-2-2-20000-220000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i30000000000
χ632222-2-22-22-200000002000-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000000−1−i30001+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000000−1+i30001−i30000
χ642222-2-22-22-20000000-200020000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000001+i3000−1−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000001−i3000−1+i30000
χ652222-2-2-22-2200000020-20000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000−1−i301+i30000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000−1+i301−i30000000
χ662222-2-2-22-22000000-2020000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000001+i30−1−i30000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000001−i30−1+i30000000
χ672-22-22-22-2-222i2i−2i−2i000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i32ζ112ζ11−2ζ11−2ζ11000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i32ζ72ζ7−2ζ7−2ζ7000000000000
χ682-22-22-22-2-22−2i−2i2i2i000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−2ζ11−2ζ112ζ112ζ11000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−2ζ7−2ζ72ζ72ζ7000000000000
χ692-22-22-2-222-20000000002i−2i00000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i30000000002ζ11−2ζ1100000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i30000000002ζ7−2ζ700000
χ702-22-22-2-222-2000000000−2i2i00000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3000000000−2ζ112ζ1100000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3000000000−2ζ72ζ700000
χ712-22-2-2222-2-2000000000000002i−2i−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000000002ζ11−2ζ11−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000000002ζ7−2ζ7
χ722-22-2-2222-2-200000000000000−2i2i−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i300000000000000−2ζ112ζ11−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i300000000000000−2ζ72ζ7
χ732-22-2-22-2-2220000000000002-200−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000−1−i31+i300−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000−1+i31−i300
χ742-22-2-22-2-222000000000000-2200−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000000001+i3−1−i300−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000000001−i3−1+i300
χ7544-4-40000002i−2i2i−2i000000000000−2−2i3−2−2i32+2i32+2i30000002ζ11−2ζ112ζ11−2ζ11000000000000−2+2i3−2+2i32−2i32−2i30000002ζ7−2ζ72ζ7−2ζ7000000000000
χ7644-4-4000000−2i2i−2i2i000000000000−2−2i3−2−2i32+2i32+2i3000000−2ζ112ζ11−2ζ112ζ11000000000000−2+2i3−2+2i32−2i32−2i3000000−2ζ72ζ7−2ζ72ζ7000000000000
χ774-4-440000002-2-22000000000000−2−2i32+2i32+2i3−2−2i3000000−1−i31+i31+i3−1−i3000000000000−2+2i32−2i32−2i3−2+2i3000000−1+i31−i31−i3−1+i3000000000000
χ784-4-44000000-222-2000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i3−1−i31+i3000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i3−1+i31−i3000000000000

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