Finite Group Databasebeta

← Group #72231377

Character table — Group #72231377

Order 7200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size124488888888151525252550505060607575361212242424242424242445457575751501501501801802252254816163232323232323232606010010010020020020024024030030048161632323232323232326060100100100200200200240240300300
order135555151515151515222446121210104426101010103030303030302224461212101044331515151515151515151566612126121230301212331515151515151515151566612126121230301212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-11-1-111-1-1111111111111111-1-11-1-111-1-1111111111111111-1-11-1-111-1-1111111111111111-1-11-1-111-1-1
χ31111111111111-1-1i−i-1i−i1-1i−i1111111111111-1-1i−i-1i−i1-1i−i1111111111111-1-1i−i-1i−i1-1i−i1111111111111-1-1i−i-1i−i1-1i−i
χ41111111111111-1-1−ii-1−ii1-1−ii1111111111111-1-1−ii-1−ii1-1−ii1111111111111-1-1−ii-1−ii1-1−ii1111111111111-1-1−ii-1−ii1-1−ii
χ5111111111111-11-1i−i-1i−i-11−ii111111111111-11-1i−i-1i−i-11−ii111111111111-11-1i−i-1i−i-11−ii111111111111-11-1i−i-1i−i-11−ii
χ6111111111111-11-1−ii-1−ii-11i−i111111111111-11-1−ii-1−ii-11i−i111111111111-11-1−ii-1−ii-11i−i111111111111-11-1−ii-1−ii-11i−i
χ7111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1
χ8111111111111-1-11-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-111
χ92-12222-1-1-1-1-1-100222-1-1-100002-12222-1-1-1-1-1-100222-1-1-100002-12222-1-1-1-1-1-100222-1-1-100002-12222-1-1-1-1-1-100222-1-1-10000
χ102-12222-1-1-1-1-1-1002-2-2-11100002-12222-1-1-1-1-1-1002-2-2-11100002-12222-1-1-1-1-1-1002-2-2-11100002-12222-1-1-1-1-1-1002-2-2-1110000
χ112-12222-1-1-1-1-1-100-22i−2i1−ii00002-12222-1-1-1-1-1-100-22i−2i1−ii00002-12222-1-1-1-1-1-100-22i−2i1−ii00002-12222-1-1-1-1-1-100-22i−2i1−ii0000
χ122-12222-1-1-1-1-1-100-2−2i2i1i−i00002-12222-1-1-1-1-1-100-2−2i2i1i−i00002-12222-1-1-1-1-1-100-2−2i2i1i−i00002-12222-1-1-1-1-1-100-2−2i2i1i−i0000
χ13444-1-1-14-1-1-1-1-1040000000-100444-1-1-14-1-1-1-1-1040000000-100444-1-1-14-1-1-1-1-1040000000-100444-1-1-14-1-1-1-1-1040000000-100
χ14444-1-1-14-1-1-1-1-10-40000000100444-1-1-14-1-1-1-1-10-40000000100444-1-1-14-1-1-1-1-10-40000000100444-1-1-14-1-1-1-1-10-40000000100
χ1544-14-1-1-14-1-1-1-140000000-100044-14-1-1-14-1-1-1-140000000-100044-14-1-1-14-1-1-1-140000000-100044-14-1-1-14-1-1-1-140000000-1000
χ1644-14-1-1-14-1-1-1-1-40000000100044-14-1-1-14-1-1-1-1-40000000100044-14-1-1-14-1-1-1-1-40000000100044-14-1-1-14-1-1-1-1-400000001000
χ1788-2-23-2-2-233-2-200000000000088-2-23-2-2-233-2-200000000000088-2-23-2-2-233-2-200000000000088-2-23-2-2-233-2-2000000000000
χ1888-2-2-23-2-2-2-23300000000000088-2-2-23-2-2-2-23300000000000088-2-2-23-2-2-2-23300000000000088-2-2-23-2-2-2-233000000000000
χ198-48-2-2-2-4111110000000000008-48-2-2-2-4111110000000000008-48-2-2-2-4111110000000000008-48-2-2-2-411111000000000000
χ208-4-28-2-21-411110000000000008-4-28-2-21-411110000000000008-4-28-2-21-411110000000000008-4-28-2-21-41111000000000000
χ218-4-2-23-211−3−5i32−3+5i32110000000000008-4-2-23-211−3−5i32−3+5i32110000000000008-4-2-23-211−3−5i32−3+5i32110000000000008-4-2-23-211−3−5i32−3+5i3211000000000000
χ228-4-2-23-211−3+5i32−3−5i32110000000000008-4-2-23-211−3+5i32−3−5i32110000000000008-4-2-23-211−3+5i32−3−5i32110000000000008-4-2-23-211−3+5i32−3−5i3211000000000000
χ238-4-2-2-231111−3−5i32−3+5i320000000000008-4-2-2-231111−3−5i32−3+5i320000000000008-4-2-2-231111−3−5i32−3+5i320000000000008-4-2-2-231111−3−5i32−3+5i32000000000000
χ248-4-2-2-231111−3+5i32−3−5i320000000000008-4-2-2-231111−3+5i32−3−5i320000000000008-4-2-2-231111−3+5i32−3−5i320000000000008-4-2-2-231111−3+5i32−3−5i32000000000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111-1-11-1-111-1-1111111111111111-1-11-1-111-1-1−1+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+i321−i321−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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ271111111111111-1-1i−i-1i−i1-1i−i1111111111111-1-1i−i-1i−i1-1i−i−1+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−i32ζ7−ζ71−i32ζ7−ζ7−1+i321−i32ζ7−ζ7−1−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+i32ζ11−ζ111+i32ζ11−ζ11−1−i321+i32ζ11−ζ11
χ281111111111111-1-1−ii-1−ii1-1−ii1111111111111-1-1−ii-1−ii1-1−ii−1+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−ζ7ζ71−i32−ζ7ζ7−1+i321−i32−ζ7ζ7−1−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−ζ11ζ111+i32−ζ11ζ11−1−i321+i32−ζ11ζ11
χ29111111111111-11-1i−i-1i−i-11−ii111111111111-11-1i−i-1i−i-11−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ71−i32ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ111+i32ζ11−ζ111+i32−1−i32−ζ11ζ11
χ30111111111111-11-1−ii-1−ii-11i−i111111111111-11-1−ii-1−ii-11i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ71−i32−ζ7ζ71−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ111+i32−ζ11ζ111+i32−1−i32ζ11−ζ11
χ31111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ32111111111111-1-11-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ332-12222-1-1-1-1-1-100222-1-1-100002-12222-1-1-1-1-1-100222-1-1-10000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i31−i321−i321−i320000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i31+i321+i321+i320000
χ342-12222-1-1-1-1-1-1002-2-2-11100002-12222-1-1-1-1-1-1002-2-2-1110000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i31−i31−i31−i32−1+i32−1+i320000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i31+i31+i31+i32−1−i32−1−i320000
χ352-12222-1-1-1-1-1-100-22i−2i1−ii00002-12222-1-1-1-1-1-100-22i−2i1−ii0000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i32ζ7−2ζ7−1+i32−ζ7ζ70000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i32ζ11−2ζ11−1−i32−ζ11ζ110000
χ362-12222-1-1-1-1-1-100-2−2i2i1i−i00002-12222-1-1-1-1-1-100-2−2i2i1i−i0000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i3−2ζ72ζ7−1+i32ζ7−ζ70000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i3−2ζ112ζ11−1−i32ζ11−ζ110000
χ37444-1-1-14-1-1-1-1-1040000000-100444-1-1-14-1-1-1-1-1040000000-100−2+2i3−2+2i3−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i321−i320−2+2i300000001−i3200−2−2i3−2−2i3−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i321+i320−2−2i300000001+i3200
χ38444-1-1-14-1-1-1-1-10-40000000100444-1-1-14-1-1-1-1-10-40000000100−2+2i3−2+2i3−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i321−i3202−2i30000000−1+i3200−2−2i3−2−2i3−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i321+i3202+2i30000000−1−i3200
χ3944-14-1-1-14-1-1-1-140000000-100044-14-1-1-14-1-1-1-140000000-1000−2+2i3−2+2i31−i32−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i32−2+2i300000001−i32000−2−2i3−2−2i31+i32−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i32−2−2i300000001+i32000
χ4044-14-1-1-14-1-1-1-1-40000000100044-14-1-1-14-1-1-1-1-400000001000−2+2i3−2+2i31−i32−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i322−2i30000000−1+i32000−2−2i3−2−2i31+i32−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i322+2i30000000−1−i32000
χ4188-2-23-2-2-233-2-200000000000088-2-23-2-2-233-2-2000000000000−4+4i3−4+4i31−i31−i3−3+3i321−i31−i31−i3−3+3i32−3+3i321−i31−i3000000000000−4−4i3−4−4i31+i31+i3−3−3i321+i31+i31+i3−3−3i32−3−3i321+i31+i3000000000000
χ4288-2-2-23-2-2-2-23300000000000088-2-2-23-2-2-2-233000000000000−4+4i3−4+4i31−i31−i31−i3−3+3i321−i31−i31−i31−i3−3+3i32−3+3i32000000000000−4−4i3−4−4i31+i31+i31+i3−3−3i321+i31+i31+i31+i3−3−3i32−3−3i32000000000000
χ438-48-2-2-2-4111110000000000008-48-2-2-2-411111000000000000−4+4i32−2i3−4+4i31−i31−i31−i32−2i3−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−4−4i32+2i3−4−4i31+i31+i31+i32+2i3−1−i32−1−i32−1−i32−1−i32−1−i32000000000000
χ448-4-28-2-21-411110000000000008-4-28-2-21-41111000000000000−4+4i32−2i31−i3−4+4i31−i31−i3−1+i322−2i3−1+i32−1+i32−1+i32−1+i32000000000000−4−4i32+2i31+i3−4−4i31+i31+i3−1−i322+2i3−1−i32−1−i32−1−i32−1−i32000000000000
χ458-4-2-23-211−3−5i32−3+5i32110000000000008-4-2-23-211−3−5i32−3+5i3211000000000000−4+4i32−2i31−i31−i3−3+3i321−i3−1+i32−1+i329+i32−3−2i3−1+i32−1+i32000000000000−4−4i32+2i31+i31+i3−3−3i321+i3−1−i32−1−i32−3+2i39−i32−1−i32−1−i32000000000000
χ468-4-2-23-211−3+5i32−3−5i32110000000000008-4-2-23-211−3+5i32−3−5i3211000000000000−4+4i32−2i31−i31−i3−3+3i321−i3−1+i32−1+i32−3−2i39+i32−1+i32−1+i32000000000000−4−4i32+2i31+i31+i3−3−3i321+i3−1−i32−1−i329−i32−3+2i3−1−i32−1−i32000000000000
χ478-4-2-2-231111−3−5i32−3+5i320000000000008-4-2-2-231111−3−5i32−3+5i32000000000000−4+4i32−2i31−i31−i31−i3−3+3i32−1+i32−1+i32−1+i32−1+i329+i32−3−2i3000000000000−4−4i32+2i31+i31+i31+i3−3−3i32−1−i32−1−i32−1−i32−1−i32−3+2i39−i32000000000000
χ488-4-2-2-231111−3+5i32−3−5i320000000000008-4-2-2-231111−3+5i32−3−5i32000000000000−4+4i32−2i31−i31−i31−i3−3+3i32−1+i32−1+i32−1+i32−1+i32−3−2i39+i32000000000000−4−4i32+2i31+i31+i31+i3−3−3i32−1−i32−1−i32−1−i32−1−i329−i32−3+2i3000000000000
χ49111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111-1-11-1-111-1-1111111111111111-1-11-1-111-1-1−1−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−i321+i321+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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ511111111111111-1-1i−i-1i−i1-1i−i1111111111111-1-1i−i-1i−i1-1i−i−1−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+i32ζ11−ζ111+i32ζ11−ζ11−1−i321+i32ζ11−ζ11−1+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−i32ζ7−ζ71−i32ζ7−ζ7−1+i321−i32ζ7−ζ7
χ521111111111111-1-1−ii-1−ii1-1−ii1111111111111-1-1−ii-1−ii1-1−ii−1−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−ζ11ζ111+i32−ζ11ζ11−1−i321+i32−ζ11ζ11−1+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−ζ7ζ71−i32−ζ7ζ7−1+i321−i32−ζ7ζ7
χ53111111111111-11-1i−i-1i−i-11−ii111111111111-11-1i−i-1i−i-11−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ111+i32ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ71−i32ζ7−ζ71−i32−1+i32−ζ7ζ7
χ54111111111111-11-1−ii-1−ii-11i−i111111111111-11-1−ii-1−ii-11i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ111+i32−ζ11ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ71−i32−ζ7ζ71−i32−1+i32ζ7−ζ7
χ55111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ56111111111111-1-11-1-11-1-1-1-111111111111111-1-11-1-11-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ572-12222-1-1-1-1-1-100222-1-1-100002-12222-1-1-1-1-1-100222-1-1-10000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i3−1−i31+i321+i321+i320000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i3−1+i31−i321−i321−i320000
χ582-12222-1-1-1-1-1-1002-2-2-11100002-12222-1-1-1-1-1-1002-2-2-1110000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i31+i31+i31+i32−1−i32−1−i320000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i31−i31−i31−i32−1+i32−1+i320000
χ592-12222-1-1-1-1-1-100-22i−2i1−ii00002-12222-1-1-1-1-1-100-22i−2i1−ii0000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i32ζ11−2ζ11−1−i32−ζ11ζ110000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i32ζ7−2ζ7−1+i32−ζ7ζ70000
χ602-12222-1-1-1-1-1-100-2−2i2i1i−i00002-12222-1-1-1-1-1-100-2−2i2i1i−i0000−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i3−2ζ112ζ11−1−i32ζ11−ζ110000−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i3−2ζ72ζ7−1+i32ζ7−ζ70000
χ61444-1-1-14-1-1-1-1-1040000000-100444-1-1-14-1-1-1-1-1040000000-100−2−2i3−2−2i3−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i321+i320−2−2i300000001+i3200−2+2i3−2+2i3−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i321−i320−2+2i300000001−i3200
χ62444-1-1-14-1-1-1-1-10-40000000100444-1-1-14-1-1-1-1-10-40000000100−2−2i3−2−2i3−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i321+i3202+2i30000000−1−i3200−2+2i3−2+2i3−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i321−i3202−2i30000000−1+i3200
χ6344-14-1-1-14-1-1-1-140000000-100044-14-1-1-14-1-1-1-140000000-1000−2−2i3−2−2i31+i32−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i32−2−2i300000001+i32000−2+2i3−2+2i31−i32−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i32−2+2i300000001−i32000
χ6444-14-1-1-14-1-1-1-1-40000000100044-14-1-1-14-1-1-1-1-400000001000−2−2i3−2−2i31+i32−2−2i31+i321+i321+i32−2−2i31+i321+i321+i321+i322+2i30000000−1−i32000−2+2i3−2+2i31−i32−2+2i31−i321−i321−i32−2+2i31−i321−i321−i321−i322−2i30000000−1+i32000
χ6588-2-23-2-2-233-2-200000000000088-2-23-2-2-233-2-2000000000000−4−4i3−4−4i31+i31+i3−3−3i321+i31+i31+i3−3−3i32−3−3i321+i31+i3000000000000−4+4i3−4+4i31−i31−i3−3+3i321−i31−i31−i3−3+3i32−3+3i321−i31−i3000000000000
χ6688-2-2-23-2-2-2-23300000000000088-2-2-23-2-2-2-233000000000000−4−4i3−4−4i31+i31+i31+i3−3−3i321+i31+i31+i31+i3−3−3i32−3−3i32000000000000−4+4i3−4+4i31−i31−i31−i3−3+3i321−i31−i31−i31−i3−3+3i32−3+3i32000000000000
χ678-48-2-2-2-4111110000000000008-48-2-2-2-411111000000000000−4−4i32+2i3−4−4i31+i31+i31+i32+2i3−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−4+4i32−2i3−4+4i31−i31−i31−i32−2i3−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ688-4-28-2-21-411110000000000008-4-28-2-21-41111000000000000−4−4i32+2i31+i3−4−4i31+i31+i3−1−i322+2i3−1−i32−1−i32−1−i32−1−i32000000000000−4+4i32−2i31−i3−4+4i31−i31−i3−1+i322−2i3−1+i32−1+i32−1+i32−1+i32000000000000
χ698-4-2-23-211−3−5i32−3+5i32110000000000008-4-2-23-211−3−5i32−3+5i3211000000000000−4−4i32+2i31+i31+i3−3−3i321+i3−1−i32−1−i32−3+2i39−i32−1−i32−1−i32000000000000−4+4i32−2i31−i31−i3−3+3i321−i3−1+i32−1+i329+i32−3−2i3−1+i32−1+i32000000000000
χ708-4-2-23-211−3+5i32−3−5i32110000000000008-4-2-23-211−3+5i32−3−5i3211000000000000−4−4i32+2i31+i31+i3−3−3i321+i3−1−i32−1−i329−i32−3+2i3−1−i32−1−i32000000000000−4+4i32−2i31−i31−i3−3+3i321−i3−1+i32−1+i32−3−2i39+i32−1+i32−1+i32000000000000
χ718-4-2-2-231111−3−5i32−3+5i320000000000008-4-2-2-231111−3−5i32−3+5i32000000000000−4−4i32+2i31+i31+i31+i3−3−3i32−1−i32−1−i32−1−i32−1−i32−3+2i39−i32000000000000−4+4i32−2i31−i31−i31−i3−3+3i32−1+i32−1+i32−1+i32−1+i329+i32−3−2i3000000000000
χ728-4-2-2-231111−3+5i32−3−5i320000000000008-4-2-2-231111−3+5i32−3−5i32000000000000−4−4i32+2i31+i31+i31+i3−3−3i32−1−i32−1−i32−1−i32−1−i329−i32−3+2i3000000000000−4+4i32−2i31−i31−i31−i3−3+3i32−1+i32−1+i32−1+i32−1+i32−3−2i39+i32000000000000
χ73333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ74333333333333333-3-33-3-333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111000000000000000000000000000000000000000000000000
χ753333333333333-3-33i−3i-33i−3i3-33i−3i-1-1-1-1-1-1-1-1-1-1-1-1-111−ii1−ii-11−ii000000000000000000000000000000000000000000000000
χ763333333333333-3-3−3i3i-3−3i3i3-3−3i3i-1-1-1-1-1-1-1-1-1-1-1-1-111i−i1i−i-11i−i000000000000000000000000000000000000000000000000
χ77333333333333-33-33i−3i-33i−3i-33−3i3i-1-1-1-1-1-1-1-1-1-1-1-11-11−ii1−ii1-1i−i000000000000000000000000000000000000000000000000
χ78333333333333-33-3−3i3i-3−3i3i-333i−3i-1-1-1-1-1-1-1-1-1-1-1-11-11i−i1i−i1-1−ii000000000000000000000000000000000000000000000000
χ79333333333333-3-3333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ80333333333333-3-33-3-33-3-3-3-333-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1000000000000000000000000000000000000000000000000
χ816-36666-3-3-3-3-3-300666-3-3-30000-21-2-2-2-211111100-2-2-21110000000000000000000000000000000000000000000000000000
χ826-36666-3-3-3-3-3-3006-6-6-3330000-21-2-2-2-211111100-2221-1-10000000000000000000000000000000000000000000000000000
χ836-36666-3-3-3-3-3-300-66i−6i3−3i3i0000-21-2-2-2-2111111002−2i2i-1i−i0000000000000000000000000000000000000000000000000000
χ846-36666-3-3-3-3-3-300-6−6i6i33i−3i0000-21-2-2-2-21111110022i−2i-1−ii0000000000000000000000000000000000000000000000000000
χ85121212-3-3-312-3-3-3-3-30120000000-300-4-4-4111-4111110-40000000100000000000000000000000000000000000000000000000000
χ86121212-3-3-312-3-3-3-3-30-120000000300-4-4-4111-411111040000000-100000000000000000000000000000000000000000000000000
χ871212-312-3-3-312-3-3-3-3120000000-3000-4-41-4111-41111-400000001000000000000000000000000000000000000000000000000000
χ881212-312-3-3-312-3-3-3-3-1200000003000-4-41-4111-4111140000000-1000000000000000000000000000000000000000000000000000
χ892424-6-69-6-6-699-6-6000000000000-8-822-3222-3-322000000000000000000000000000000000000000000000000000000000000
χ902424-6-6-69-6-6-6-699000000000000-8-8222-32222-3-3000000000000000000000000000000000000000000000000000000000000
χ9124-1224-6-6-6-1233333000000000000-84-82224-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ9224-12-624-6-63-123333000000000000-842-822-14-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ9324-12-6-69-633−9−15i32−9+15i3233000000000000-8422-32-1-13+5i323−5i32-1-1000000000000000000000000000000000000000000000000000000000000
χ9424-12-6-69-633−9+15i32−9−15i3233000000000000-8422-32-1-13−5i323+5i32-1-1000000000000000000000000000000000000000000000000000000000000
χ9524-12-6-6-693333−9−15i32−9+15i32000000000000-84222-3-1-1-1-13+5i323−5i32000000000000000000000000000000000000000000000000000000000000
χ9624-12-6-6-693333−9+15i32−9−15i32000000000000-84222-3-1-1-1-13−5i323+5i32000000000000000000000000000000000000000000000000000000000000

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