Finite Group Databasebeta

← Group #13180893

Character table — Group #13180893

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222444444666666688888888121216161616181818242424242424242424242424243636547272112222444444666666688888888121216161616181818242424242424242424242424243636547272
order12336633366622466663333666612123366444666666666666121212212122266666666662246666666666661212666644466666666666612121221212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1111-1-1111111111111111-1-111-1-11111-1-1-1-111-1-1-1-11111111111111-1111-1-1111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1
χ3111111111111-111-1-11111111111111111-11-1-1-111-1-1-1-111111-11-1-1-1111111111111-111-1-11111111111111111-11-1-1-111-1-1-1-111111-11-1-1-1
χ4111111111111-1-11-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111-1-11-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32
χ61111111−1+i32−1−i321−1+i32−1−i321-1111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11−i321+i321111111−1+i32−1−i321−1+i32−1−i321-1111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11−i321+i32
χ71111111−1+i32−1−i321−1+i32−1−i32-111-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-11−i321+i321111111−1+i32−1−i321−1+i32−1−i32-111-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-11−i321+i32
χ81111111−1+i32−1−i321−1+i32−1−i32-1-11-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321-1-11−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32-1-11-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321-1-11−1+i32−1−i32
χ91111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32
χ101111111−1−i32−1+i321−1−i32−1+i321-1111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11+i321−i321111111−1−i32−1+i321−1−i32−1+i321-1111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11+i321−i32
χ111111111−1−i32−1+i321−1−i32−1+i32-111-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-11+i321−i321111111−1−i32−1+i321−1−i32−1+i32-111-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-11+i321−i32
χ121111111−1−i32−1+i321−1−i32−1+i32-1-11-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321-1-11−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32-1-11-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321-1-11−1−i32−1+i32
χ13222-12-1-122-12202200-1-12-12-12-12-12-1-1-1-1-102000220000-1-1-1-1-10-1000222-12-1-122-12202200-1-12-12-12-12-12-1-1-1-1-102000220000-1-1-1-1-10-1000
χ14222-12-1-122-1220-2200112-12-12-12-12-1-1-1-1-10-2000-2-200001111-101000222-12-1-122-1220-2200112-12-12-12-12-1-1-1-1-10-2000-2-200001111-101000
χ15222-12-1-1−1+i3−1−i3-1−1+i3−1−i302200-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i3202000−1+i3−1−i300001−i321−i321+i321+i32-10-1000222-12-1-1−1+i3−1−i3-1−1+i3−1−i302200-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i3202000−1+i3−1−i300001−i321−i321+i321+i32-10-1000
χ16222-12-1-1−1+i3−1−i3-1−1+i3−1−i30-220011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i320-20001−i31+i30000−1+i32−1+i32−1−i32−1−i32-101000222-12-1-1−1+i3−1−i3-1−1+i3−1−i30-220011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i320-20001−i31+i30000−1+i32−1+i32−1−i32−1−i32-101000
χ17222-12-1-1−1−i3−1+i3-1−1−i3−1+i302200-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i3202000−1−i3−1+i300001+i321+i321−i321−i32-10-1000222-12-1-1−1−i3−1+i3-1−1−i3−1+i302200-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i3202000−1−i3−1+i300001+i321+i321−i321−i32-10-1000
χ18222-12-1-1−1−i3−1+i3-1−1−i3−1+i30-220011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i320-20001+i31−i30000−1−i32−1−i32−1+i32−1+i32-101000222-12-1-1−1−i3−1+i3-1−1−i3−1+i30-220011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i320-20001+i31−i30000−1−i32−1−i32−1+i32−1+i32-101000
χ1922-12-12-122-122202-1-100-12-12-12-12-12-1-1-1-12002200-1-1-1-10000-1-1000022-12-12-122-122202-1-100-12-12-12-12-12-1-1-1-12002200-1-1-1-10000-1-10000
χ2022-12-12-122-122-2021100-12-12-12-12-12-1-1-1-1-200-2-20011110000-11000022-12-12-122-122-2021100-12-12-12-12-12-1-1-1-1-200-2-20011110000-110000
χ2122-12-12-1−1+i3−1−i3-1−1+i3−1−i3202-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32200−1+i3−1−i3001−i321−i321+i321+i320000-1-1000022-12-12-1−1+i3−1−i3-1−1+i3−1−i3202-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32200−1+i3−1−i3001−i321−i321+i321+i320000-1-10000
χ2222-12-12-1−1+i3−1−i3-1−1+i3−1−i3-20211001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32-2001−i31+i300−1+i32−1+i32−1−i32−1−i320000-11000022-12-12-1−1+i3−1−i3-1−1+i3−1−i3-20211001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32-2001−i31+i300−1+i32−1+i32−1−i32−1−i320000-110000
χ2322-12-12-1−1−i3−1+i3-1−1−i3−1+i3202-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32200−1−i3−1+i3001+i321+i321−i321−i320000-1-1000022-12-12-1−1−i3−1+i3-1−1−i3−1+i3202-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32200−1−i3−1+i3001+i321+i321−i321−i320000-1-10000
χ2422-12-12-1−1−i3−1+i3-1−1−i3−1+i3-20211001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32-2001+i31−i300−1−i32−1−i32−1+i32−1+i320000-11000022-12-12-1−1−i3−1+i3-1−1−i3−1+i3-20211001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32-2001+i31−i300−1−i32−1−i32−1+i32−1+i320000-110000
χ2533333330030033-1333300000000-1-10000-1-13000000000000-1-1-1-10033333330030033-1333300000000-1-10000-1-13000000000000-1-1-1-100
χ263333333003003-3-133-3-300000000-1-10000-11-3000000000000-1-111003333333003003-3-133-3-300000000-1-10000-11-3000000000000-1-11100
χ27333333300300-33-1-3-33300000000-1-100001-1-3000000000000-11-1100333333300300-33-1-3-33300000000-1-100001-1-3000000000000-11-1100
χ28333333300300-3-3-1-3-3-3-300000000-1-10000113000000000000-111-100333333300300-3-3-1-3-3-3-300000000-1-10000113000000000000-111-100
χ2944-2-2-2-21441440040000-2-2-2-2-2-2-2-2-2-2111100000000000000010000044-2-2-2-21441440040000-2-2-2-2-2-2-2-2-2-21111000000000000000100000
χ3044-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i300400001−i31−i31+i31+i31−i31−i31+i31+i3-2-2−1+i32−1−i32−1+i32−1−i3200000000000000010000044-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i300400001−i31−i31+i31+i31−i31−i31+i31+i3-2-2−1+i32−1−i32−1+i32−1−i32000000000000000100000
χ3144-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i300400001+i31+i31−i31−i31+i31+i31−i31−i3-2-2−1−i32−1+i32−1−i32−1+i3200000000000000010000044-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i300400001+i31+i31−i31−i31+i31+i31−i31−i3-2-2−1−i32−1+i32−1−i32−1+i32000000000000000100000
χ324-444-4-44-2-2-4220000000-2-2-2-2222200-2-2220000000000000000000004-444-4-44-2-2-4220000000-2-2-2-2222200-2-222000000000000000000000
χ334-444-4-441−i31+i3-4−1+i3−1−i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3001−i31+i3−1+i3−1−i30000000000000000000004-444-4-441−i31+i3-4−1+i3−1−i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3001−i31+i3−1+i3−1−i3000000000000000000000
χ344-444-4-441+i31−i3-4−1−i3−1+i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3001+i31−i3−1−i3−1+i30000000000000000000004-444-4-441+i31−i3-4−1−i3−1+i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3001+i31−i3−1−i3−1+i3000000000000000000000
χ354-44-2-42-2-2-2222000002i3−2i3-21-212-12-10011-1-100000000000i3−i3i3−i30000004-44-2-42-2-2-2222000002i3−2i3-21-212-12-10011-1-100000000000i3−i3i3−i3000000
χ364-44-2-42-2-2-222200000−2i32i3-21-212-12-10011-1-100000000000−i3i3−i3i30000004-44-2-42-2-2-222200000−2i32i3-21-212-12-10011-1-100000000000−i3i3−i3i3000000
χ374-44-2-42-21−i31+i32−1+i3−1−i3000002i3−2i31−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i3200000000000−3−i323+i323−i32−3+i320000004-44-2-42-21−i31+i32−1+i3−1−i3000002i3−2i31−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i3200000000000−3−i323+i323−i32−3+i32000000
χ384-44-2-42-21−i31+i32−1+i3−1−i300000−2i32i31−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000003+i32−3−i32−3+i323−i320000004-44-2-42-21−i31+i32−1+i3−1−i300000−2i32i31−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000003+i32−3−i32−3+i323−i32000000
χ394-44-2-42-21+i31−i32−1−i3−1+i3000002i3−2i31+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i32000000000003−i32−3+i32−3−i323+i320000004-44-2-42-21+i31−i32−1−i3−1+i3000002i3−2i31+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i32000000000003−i32−3+i32−3−i323+i32000000
χ404-44-2-42-21+i31−i32−1−i3−1+i300000−2i32i31+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i3200000000000−3+i323−i323+i32−3−i320000004-44-2-42-21+i31−i32−1−i3−1+i300000−2i32i31+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i3200000000000−3+i323−i323+i32−3−i32000000
χ414-4-242-4-2-2-22220002i3−2i3001-21-2-12-120011-1-10000000i3−i3i3−i300000000004-4-242-4-2-2-22220002i3−2i3001-21-2-12-120011-1-10000000i3−i3i3−i30000000000
χ424-4-242-4-2-2-2222000−2i32i3001-21-2-12-120011-1-10000000−i3i3−i3i300000000004-4-242-4-2-2-2222000−2i32i3001-21-2-12-120011-1-10000000−i3i3−i3i30000000000
χ434-4-242-4-21−i31+i32−1+i3−1−i30002i3−2i300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i320000000−3−i323+i323−i32−3+i3200000000004-4-242-4-21−i31+i32−1+i3−1−i30002i3−2i300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i320000000−3−i323+i323−i32−3+i320000000000
χ444-4-242-4-21−i31+i32−1+i3−1−i3000−2i32i300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000003+i32−3−i32−3+i323−i3200000000004-4-242-4-21−i31+i32−1+i3−1−i3000−2i32i300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000003+i32−3−i32−3+i323−i320000000000
χ454-4-242-4-21+i31−i32−1−i3−1+i30002i3−2i300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i3200000003−i32−3+i32−3−i323+i3200000000004-4-242-4-21+i31−i32−1−i3−1+i30002i3−2i300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i3200000003−i32−3+i32−3−i323+i320000000000
χ464-4-242-4-21+i31−i32−1−i3−1+i3000−2i32i300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i320000000−3+i323−i323+i32−3−i3200000000004-4-242-4-21+i31−i32−1−i3−1+i3000−2i32i300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i320000000−3+i323−i323+i32−3−i320000000000
χ47666-36-3-300-30006-200-3-300000000-2100000-20000000000000101000666-36-3-300-30006-200-3-300000000-2100000-20000000000000101000
χ48666-36-3-300-3000-6-2003300000000-21000002000000000000010-1000666-36-3-300-3000-6-2003300000000-21000002000000000000010-1000
χ4966-36-36-300-30060-2-3-300000000001-20000-20000000000000011000066-36-36-300-30060-2-3-300000000001-20000-200000000000000110000
χ5066-36-36-300-300-60-23300000000001-200002000000000000001-1000066-36-36-300-300-60-23300000000001-200002000000000000001-10000
χ518-8-4-4442-4-4-24400000002222-2-2-2-200-1-1110000000000000000000008-8-4-4442-4-4-24400000002222-2-2-2-200-1-111000000000000000000000
χ528-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3001−i321+i32−1+i32−1−i320000000000000000000008-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3001−i321+i32−1+i32−1−i32000000000000000000000
χ538-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3001+i321−i32−1−i32−1+i320000000000000000000008-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3001+i321−i32−1−i32−1+i32000000000000000000000
χ541212-6-6-6-630030000-4000000000000220000000000000000000-1000001212-6-6-6-630030000-4000000000000220000000000000000000-100000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111-1111-1-1111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111
χ57111111111111-111-1-11111111111111111-11-1-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-11-1111
χ58111111111111-1-11-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111111-111-1-1-1
χ591111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321+i32
χ601111111−1+i32−1−i321−1+i32−1−i321-1111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11−i321+i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-11-1-1-1111−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i32-1111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1−i32
χ611111111−1+i32−1−i321−1+i32−1−i32-111-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-11-11−i321+i32-1-1-1-1-1-1-11−i321+i32-11−i321+i321-1-111-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i321-11−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11-11−1+i32−1−i32
χ621111111−1+i32−1−i321−1+i32−1−i32-1-11-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321-1-11−1+i32−1−i32-1-1-1-1-1-1-11−i321+i32-11−i321+i3211-111111−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i3211-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-11−i321+i32
χ631111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321−i32
χ641111111−1−i32−1+i321−1−i32−1+i321-1111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11+i321−i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-11-1-1-1111+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i32-1111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1+i32
χ651111111−1−i32−1+i321−1−i32−1+i32-111-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-11+i321−i32-1-1-1-1-1-1-11+i321−i32-11+i321−i321-1-111-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i321-11−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11-11−1−i32−1+i32
χ661111111−1−i32−1+i321−1−i32−1+i32-1-11-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321-1-11−1−i32−1+i32-1-1-1-1-1-1-11+i321−i32-11+i321−i3211-111111+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i3211-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-11+i321−i32
χ67222-12-1-122-12202200-1-12-12-12-12-12-1-1-1-1-102000220000-1-1-1-1-10-1000-2-2-21-211-2-21-2-20-2-20011-21-21-21-21-2111110-2000-2-200001111101000
χ68222-12-1-122-1220-2200112-12-12-12-12-1-1-1-1-10-2000-2-200001111-101000-2-2-21-211-2-21-2-202-200-1-1-21-21-21-21-21111102000220000-1-1-1-110-1000
χ69222-12-1-1−1+i3−1−i3-1−1+i3−1−i302200-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i3202000−1+i3−1−i300001−i321−i321+i321+i32-10-1000-2-2-21-2111−i31+i311−i31+i30-2-200111−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-21−1+i32−1−i32−1+i32−1−i320-20001−i31+i30000−1+i32−1+i32−1−i32−1−i32101000
χ70222-12-1-1−1+i3−1−i3-1−1+i3−1−i30-220011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i320-20001−i31+i30000−1+i32−1+i32−1−i32−1−i32-101000-2-2-21-2111−i31+i311−i31+i302-200-1-11−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-21−1+i32−1−i32−1+i32−1−i3202000−1+i3−1−i300001−i321−i321+i321+i3210-1000
χ71222-12-1-1−1−i3−1+i3-1−1−i3−1+i302200-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i3202000−1−i3−1+i300001+i321+i321−i321−i32-10-1000-2-2-21-2111+i31−i311+i31−i30-2-200111+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-21−1−i32−1+i32−1−i32−1+i320-20001+i31−i30000−1−i32−1−i32−1+i32−1+i32101000
χ72222-12-1-1−1−i3−1+i3-1−1−i3−1+i30-220011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i320-20001+i31−i30000−1−i32−1−i32−1+i32−1+i32-101000-2-2-21-2111+i31−i311+i31−i302-200-1-11+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-21−1−i32−1+i32−1−i32−1+i3202000−1−i3−1+i300001+i321+i321−i321−i3210-1000
χ7322-12-12-122-122202-1-100-12-12-12-12-12-1-1-1-12002200-1-1-1-10000-1-10000-2-21-21-21-2-21-2-2-20-211001-21-21-21-21-21111-200-2-20011110000110000
χ7422-12-12-122-122-2021100-12-12-12-12-12-1-1-1-1-200-2-20011110000-110000-2-21-21-21-2-21-2-220-2-1-1001-21-21-21-21-211112002200-1-1-1-100001-10000
χ7522-12-12-1−1+i3−1−i3-1−1+i3−1−i3202-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32200−1+i3−1−i3001−i321−i321+i321+i320000-1-10000-2-21-21-211−i31+i311−i31+i3-20-21100−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2−1+i32−1−i32−1+i32−1−i32-2001−i31+i300−1+i32−1+i32−1−i32−1−i320000110000
χ7622-12-12-1−1+i3−1−i3-1−1+i3−1−i3-20211001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32-2001−i31+i300−1+i32−1+i32−1−i32−1−i320000-110000-2-21-21-211−i31+i311−i31+i320-2-1-100−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2−1+i32−1−i32−1+i32−1−i32200−1+i3−1−i3001−i321−i321+i321+i3200001-10000
χ7722-12-12-1−1−i3−1+i3-1−1−i3−1+i3202-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32200−1−i3−1+i3001+i321+i321−i321−i320000-1-10000-2-21-21-211+i31−i311+i31−i3-20-21100−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2−1−i32−1+i32−1−i32−1+i32-2001+i31−i300−1−i32−1−i32−1+i32−1+i320000110000
χ7822-12-12-1−1−i3−1+i3-1−1−i3−1+i3-20211001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32-2001+i31−i300−1−i32−1−i32−1+i32−1+i320000-110000-2-21-21-211+i31−i311+i31−i320-2-1-100−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2−1−i32−1+i32−1−i32−1+i32200−1−i3−1+i3001+i321+i321−i321−i3200001-10000
χ7933333330030033-1333300000000-1-10000-1-13000000000000-1-1-1-100-3-3-3-3-3-3-300-300-3-31-3-3-3-30000000011000011-3000000000000111100
χ803333333003003-3-133-3-300000000-1-10000-11-3000000000000-1-11100-3-3-3-3-3-3-300-300-331-3-333000000001100001-1300000000000011-1-100
χ81333333300300-33-1-3-33300000000-1-100001-1-3000000000000-11-1100-3-3-3-3-3-3-300-3003-3133-3-300000000110000-1130000000000001-11-100
χ82333333300300-3-3-1-3-3-3-300000000-1-10000113000000000000-111-100-3-3-3-3-3-3-300-300331333300000000110000-1-1-30000000000001-1-1100
χ8344-2-2-2-21441440040000-2-2-2-2-2-2-2-2-2-21111000000000000000100000-4-42222-1-4-4-1-4-400-400002222222222-1-1-1-1000000000000000-100000
χ8444-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i300400001−i31−i31+i31+i31−i31−i31+i31+i3-2-2−1+i32−1−i32−1+i32−1−i32000000000000000100000-4-42222-12−2i32+2i3-12−2i32+2i300-40000−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3221−i321+i321−i321+i32000000000000000-100000
χ8544-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i300400001+i31+i31−i31−i31+i31+i31−i31−i3-2-2−1−i32−1+i32−1−i32−1+i32000000000000000100000-4-42222-12+2i32−2i3-12+2i32−2i300-40000−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3221+i321−i321+i321−i32000000000000000-100000
χ864-444-4-44-2-2-4220000000-2-2-2-2222200-2-222000000000000000000000-44-4-444-4224-2-200000002222-2-2-2-20022-2-2000000000000000000000
χ874-444-4-441−i31+i3-4−1+i3−1−i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3001−i31+i3−1+i3−1−i3000000000000000000000-44-4-444-4−1+i3−1−i341−i31+i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i300−1+i3−1−i31−i31+i3000000000000000000000
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χ894-44-2-42-2-2-2222000002i3−2i3-21-212-12-10011-1-100000000000i3−i3i3−i3000000-44-424-2222-2-2-200000−2i32i32-12-1-21-2100-1-11100000000000−i3i3−i3i3000000
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χ914-44-2-42-21−i31+i32−1+i3−1−i3000002i3−2i31−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i3200000000000−3−i323+i323−i32−3+i32000000-44-424-22−1+i3−1−i3-21−i31+i300000−2i32i3−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i32001−i321+i32−1+i32−1−i32000000000003+i32−3−i32−3+i323−i32000000
χ924-44-2-42-21−i31+i32−1+i3−1−i300000−2i32i31−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000003+i32−3−i32−3+i323−i32000000-44-424-22−1+i3−1−i3-21−i31+i3000002i3−2i3−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i32001−i321+i32−1+i32−1−i3200000000000−3−i323+i323−i32−3+i32000000
χ934-44-2-42-21+i31−i32−1−i3−1+i3000002i3−2i31+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i32000000000003−i32−3+i32−3−i323+i32000000-44-424-22−1−i3−1+i3-21+i31−i300000−2i32i3−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i32001+i321−i32−1−i32−1+i3200000000000−3+i323−i323+i32−3−i32000000
χ944-44-2-42-21+i31−i32−1−i3−1+i300000−2i32i31+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i3200000000000−3+i323−i323+i32−3−i32000000-44-424-22−1−i3−1+i3-21+i31−i3000002i3−2i3−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i32001+i321−i32−1−i32−1+i32000000000003−i32−3+i32−3−i323+i32000000
χ954-4-242-4-2-2-22220002i3−2i3001-21-2-12-120011-1-10000000i3−i3i3−i30000000000-442-4-24222-2-2-2000−2i32i300-12-121-21-200-1-1110000000−i3i3−i3i30000000000
χ964-4-242-4-2-2-2222000−2i32i3001-21-2-12-120011-1-10000000−i3i3−i3i30000000000-442-4-24222-2-2-20002i3−2i300-12-121-21-200-1-1110000000i3−i3i3−i30000000000
χ974-4-242-4-21−i31+i32−1+i3−1−i30002i3−2i300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i320000000−3−i323+i323−i32−3+i320000000000-442-4-242−1+i3−1−i3-21−i31+i3000−2i32i3001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i3001−i321+i32−1+i32−1−i3200000003+i32−3−i32−3+i323−i320000000000
χ984-4-242-4-21−i31+i32−1+i3−1−i3000−2i32i300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000003+i32−3−i32−3+i323−i320000000000-442-4-242−1+i3−1−i3-21−i31+i30002i3−2i3001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i3001−i321+i32−1+i32−1−i320000000−3−i323+i323−i32−3+i320000000000
χ994-4-242-4-21+i31−i32−1−i3−1+i30002i3−2i300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i3200000003−i32−3+i32−3−i323+i320000000000-442-4-242−1−i3−1+i3-21+i31−i3000−2i32i3001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i3001+i321−i32−1−i32−1+i320000000−3+i323−i323+i32−3−i320000000000
χ1004-4-242-4-21+i31−i32−1−i3−1+i3000−2i32i300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i320000000−3+i323−i323+i32−3−i320000000000-442-4-242−1−i3−1+i3-21+i31−i30002i3−2i3001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i3001+i321−i32−1−i32−1+i3200000003−i32−3+i32−3−i323+i320000000000
χ101666-36-3-300-30006-200-3-300000000-2100000-20000000000000101000-6-6-63-633003000-620033000000002-10000020000000000000-10-1000
χ102666-36-3-300-3000-6-2003300000000-21000002000000000000010-1000-6-6-63-6330030006200-3-3000000002-100000-20000000000000-101000
χ10366-36-36-300-30060-2-3-300000000001-20000-200000000000000110000-6-63-63-6300300-602330000000000-120000200000000000000-1-10000
χ10466-36-36-300-300-60-23300000000001-200002000000000000001-10000-6-63-63-6300300602-3-30000000000-120000-200000000000000-110000
χ1058-8-4-4442-4-4-24400000002222-2-2-2-200-1-111000000000000000000000-8844-4-4-2442-4-40000000-2-2-2-222220011-1-1000000000000000000000
χ1068-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3001−i321+i32−1+i32−1−i32000000000000000000000-8844-4-4-2−2+2i3−2−2i322−2i32+2i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i300−1+i32−1−i321−i321+i32000000000000000000000
χ1078-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3001+i321−i32−1−i32−1+i32000000000000000000000-8844-4-4-2−2−2i3−2+2i322+2i32−2i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i300−1−i32−1+i321+i321−i32000000000000000000000
χ1081212-6-6-6-630030000-4000000000000220000000000000000000-100000-12-126666-300-300004000000000000-2-20000000000000000000100000

Here i is the imaginary unit (i² = −1).