Finite Group Databasebeta

← Group #72249

Character table — Group #72249

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244448888888888881111222222444488888888888811112222224444888888888888
order1222224444444444448888888836666612121212121212121212121224242424242424243666661212121212121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-111-1-1ii−i−iii−i−i
χ6111111-1-1-1-111-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-111-1-1−i−iii−i−iii
χ7111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-1-1-111-1-1-1-111ii−i−i−i−iii
χ8111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-1-1-111-1-1-1-111−i−iiiii−i−i
χ91111-1-111111-1-1-11-11-11-11-11-11-11111-1-111111-1-1-11-11-11-11-11-11-11111-1-111111-1-1-11-11-11-11-11-11-1
χ101111-1-111111-1-1-11-11-1-11-11-11-111111-1-111111-1-1-11-11-1-11-11-11-111111-1-111111-1-1-11-11-1-11-11-11-11
χ111111-1-111111-1-1-1-11-111-11-1-11-111111-1-111111-1-1-1-11-111-11-1-11-111111-1-111111-1-1-1-11-111-11-1-11-11
χ121111-1-111111-1-1-1-11-11-11-111-11-11111-1-111111-1-1-1-11-11-11-111-11-11111-1-111111-1-1-1-11-11-11-111-11-1
χ131111-1-1-1-1-1-11-1111-1-11i−i−iii−i−ii1111-1-1-1-1-1-11-1111-1-11i−i−iii−i−ii1111-1-1-1-1-1-11-1111-1-11i−i−iii−i−ii
χ141111-1-1-1-1-1-11-1111-1-11−iii−i−iii−i1111-1-1-1-1-1-11-1111-1-11−iii−i−iii−i1111-1-1-1-1-1-11-1111-1-11−iii−i−iii−i
χ151111-1-1-1-1-1-11-111-111-1i−i−ii−iii−i1111-1-1-1-1-1-11-111-111-1i−i−ii−iii−i1111-1-1-1-1-1-11-111-111-1i−i−ii−iii−i
χ161111-1-1-1-1-1-11-111-111-1−iii−ii−i−ii1111-1-1-1-1-1-11-111-111-1−iii−ii−i−ii1111-1-1-1-1-1-11-111-111-1−iii−ii−i−ii
χ1722222222-2-2-2-22-200000000000022222222-2-2-2-22-200000000000022222222-2-2-2-22-2000000000000
χ18222222-2-222-2-2-22000000000000222222-2-222-2-2-22000000000000222222-2-222-2-2-22000000000000
χ192222-2-222-2-2-22-220000000000002222-2-222-2-2-22-220000000000002222-2-222-2-2-22-22000000000000
χ202222-2-2-2-222-222-20000000000002222-2-2-2-222-222-20000000000002222-2-2-2-222-222-2000000000000
χ2144-4-44-40000000000000000000044-4-44-40000000000000000000044-4-44-400000000000000000000
χ2244-4-4-440000000000000000000044-4-4-440000000000000000000044-4-4-4400000000000000000000
χ234-44-400004i−4i00000000000000004-44-400004i−4i00000000000000004-44-400004i−4i0000000000000000
χ244-44-40000−4i4i00000000000000004-44-40000−4i4i00000000000000004-44-40000−4i4i0000000000000000
χ254-4-44004i−4i0000000000000000004-4-44004i−4i0000000000000000004-4-44004i−4i000000000000000000
χ264-4-4400−4i4i0000000000000000004-4-4400−4i4i0000000000000000004-4-4400−4i4i000000000000000000
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
χ28111111111111111111-1-1-1-1-1-1-1-1−1+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+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+i321+i321+i321+i321+i32
χ2911111111111111-1-1-1-11111-1-1-1-1−1+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+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−i32−1−i32−1−i321+i321+i321+i321+i32
χ3011111111111111-1-1-1-1-1-1-1-11111−1+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−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ31111111-1-1-1-111-1-111-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ32111111-1-1-1-111-1-111-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ33111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−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+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−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−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ34111111-1-1-1-111-1-1-1-111−i−iiiii−i−i−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−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−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−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ351111-1-111111-1-1-11-11-11-11-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ361111-1-111111-1-1-11-11-1-11-11-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+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−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ371111-1-111111-1-1-1-11-111-11-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+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−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ381111-1-111111-1-1-1-11-11-11-111-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ391111-1-1-1-1-1-11-1111-1-11i−i−iii−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ401111-1-1-1-1-1-11-1111-1-11−iii−i−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ411111-1-1-1-1-1-11-111-111-1i−i−ii−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11
χ421111-1-1-1-1-1-11-111-111-1−iii−ii−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11
χ4322222222-2-2-2-22-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3000000000000
χ44222222-2-222-2-2-22000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3000000000000
χ452222-2-222-2-2-22-22000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000000000
χ462222-2-2-2-222-222-2000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3000000000000
χ4744-4-44-400000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i300000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i300000000000000000000
χ4844-4-4-4400000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000
χ494-44-400004i−4i0000000000000000−2+2i32−2i3−2+2i32−2i300004ζ7−4ζ70000000000000000−2−2i32+2i3−2−2i32+2i300004ζ11−4ζ110000000000000000
χ504-44-40000−4i4i0000000000000000−2+2i32−2i3−2+2i32−2i30000−4ζ74ζ70000000000000000−2−2i32+2i3−2−2i32+2i30000−4ζ114ζ110000000000000000
χ514-4-44004i−4i000000000000000000−2+2i32−2i32−2i3−2+2i3004ζ7−4ζ7000000000000000000−2−2i32+2i32+2i3−2−2i3004ζ11−4ζ11000000000000000000
χ524-4-4400−4i4i000000000000000000−2+2i32−2i32−2i3−2+2i300−4ζ74ζ7000000000000000000−2−2i32+2i32+2i3−2−2i300−4ζ114ζ11000000000000000000
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
χ54111111111111111111-1-1-1-1-1-1-1-1−1−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−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−i321−i321−i321−i321−i32
χ5511111111111111-1-1-1-11111-1-1-1-1−1−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−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+i32−1+i32−1+i321−i321−i321−i321−i32
χ5611111111111111-1-1-1-1-1-1-1-11111−1−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+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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ57111111-1-1-1-111-1-111-1-1ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ58111111-1-1-1-111-1-111-1-1−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ59111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−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−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+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+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ60111111-1-1-1-111-1-1-1-111−i−iiiii−i−i−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−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+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−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ611111-1-111111-1-1-11-11-11-11-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ621111-1-111111-1-1-11-11-1-11-11-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−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+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ631111-1-111111-1-1-1-11-111-11-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−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+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ641111-1-111111-1-1-1-11-11-11-111-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ651111-1-1-1-1-1-11-1111-1-11i−i−iii−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ661111-1-1-1-1-1-11-1111-1-11−iii−i−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ671111-1-1-1-1-1-11-111-111-1i−i−ii−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ681111-1-1-1-1-1-11-111-111-1−iii−ii−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ6922222222-2-2-2-22-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3000000000000
χ70222222-2-222-2-2-22000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3000000000000
χ712222-2-222-2-2-22-22000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3000000000000
χ722222-2-2-2-222-222-2000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i3000000000000
χ7344-4-44-400000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i300000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i300000000000000000000
χ7444-4-4-4400000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000
χ754-44-400004i−4i0000000000000000−2−2i32+2i3−2−2i32+2i300004ζ11−4ζ110000000000000000−2+2i32−2i3−2+2i32−2i300004ζ7−4ζ70000000000000000
χ764-44-40000−4i4i0000000000000000−2−2i32+2i3−2−2i32+2i30000−4ζ114ζ110000000000000000−2+2i32−2i3−2+2i32−2i30000−4ζ74ζ70000000000000000
χ774-4-44004i−4i000000000000000000−2−2i32+2i32+2i3−2−2i3004ζ11−4ζ11000000000000000000−2+2i32−2i32−2i3−2+2i3004ζ7−4ζ7000000000000000000
χ784-4-4400−4i4i000000000000000000−2−2i32+2i32+2i3−2−2i300−4ζ114ζ11000000000000000000−2+2i32−2i32−2i3−2+2i300−4ζ74ζ7000000000000000000

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