Finite Group Databasebeta

← Group #11923356

Character table — Group #11923356

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222444466123366612121212181836448881616161624244844888161616162424481122244446612336661212121218183644888161616162424484488816161616242448
order12346266128822264626612882363126666122424636312666612242462264626612882226462661288266612666612242466661266661224246
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1
χ411111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11
χ5222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000222-22000-2000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000
χ822-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000
χ922-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000
χ102-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−20
χ112-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−220
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ14111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i32111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i32
χ1511111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i3211111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ1611111-1-1-11-1-1111111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i3211111-1-1-11-1-1111111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32
χ17222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000
χ1822-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i3200022-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000
χ1922-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i3200022-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000
χ2022-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i3200022-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000
χ2122-1-2-10i3−i3100022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i3200022-1-2-10i3−i3100022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000
χ222-220-200002−202-220-200002−20−1+i31−i3−1+i301−i30000ζ5−ζ23−ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7+ζ13ζ7−ζ1302-220-200002−202-220-200002−20−1+i31−i3−1+i301−i30000ζ5−ζ23−ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7+ζ13ζ7−ζ130
χ232-220-20000−2202-220-20000−220−1+i31−i3−1+i301−i30000−ζ5+ζ23ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7−ζ13−ζ7+ζ1302-220-20000−2202-220-20000−220−1+i31−i3−1+i301−i30000−ζ5+ζ23ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7−ζ13−ζ7+ζ130
χ244-4-20200000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i300000004-4-20200000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i30000000
χ25111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ26111111111-1-1-1111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i32111111111-1-1-1111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i32
χ2711111-1-1-1111-111111-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i3211111-1-1-1111-111111-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ2811111-1-1-11-1-1111111-1-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i3211111-1-1-11-1-1111111-1-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32
χ29222-22000-2000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000222-22000-2000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000
χ3022-12-12-1-1-100022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i3200022-12-12-1-1-100022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000
χ3122-12-1-211-100022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i3200022-12-1-211-100022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000
χ3222-1-2-10−i3i3100022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i3200022-1-2-10−i3i3100022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000
χ3322-1-2-10i3−i3100022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i3200022-1-2-10i3−i3100022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000
χ342-220-200002−202-220-200002−20−1−i31+i3−1−i301+i30000−ζ7+ζ13ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5−ζ23−ζ5+ζ2302-220-200002−202-220-200002−20−1−i31+i3−1−i301+i30000−ζ7+ζ13ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5−ζ23−ζ5+ζ230
χ352-220-20000−2202-220-20000−220−1−i31+i3−1−i301+i30000ζ7−ζ13−ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5+ζ23ζ5−ζ2302-220-20000−2202-220-20000−220−1−i31+i3−1−i301+i30000ζ7−ζ13−ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5+ζ23ζ5−ζ230
χ364-4-20200000004-4-2020000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i300000004-4-20200000004-4-2020000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i30000000
χ37333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ38333333333-3-3-3-1-1-1-1-1-1-1-1-1111000000000000000000000000333333333-3-3-3-1-1-1-1-1-1-1-1-1111000000000000000000000000
χ3933333-3-3-3333-3-1-1-1-1-1111-1-1-1100000000000000000000000033333-3-3-3333-3-1-1-1-1-1111-1-1-11000000000000000000000000
χ4033333-3-3-33-3-33-1-1-1-1-1111-111-100000000000000000000000033333-3-3-33-3-33-1-1-1-1-1111-111-1000000000000000000000000
χ41666-66000-6000-2-2-22-20002000000000000000000000000000666-66000-6000-2-2-22-20002000000000000000000000000000
χ4266-36-36-3-3-3000-2-21-21-211100000000000000000000000000066-36-36-3-3-3000-2-21-21-2111000000000000000000000000000
χ4366-36-3-633-3000-2-21-212-1-1100000000000000000000000000066-36-3-633-3000-2-21-212-1-11000000000000000000000000000
χ4466-3-6-30−3i33i33000-2-21210i3−i3-100000000000000000000000000066-3-6-30−3i33i33000-2-21210i3−i3-1000000000000000000000000000
χ4566-3-6-303i3−3i33000-2-21210−i3i3-100000000000000000000000000066-3-6-303i3−3i33000-2-21210−i3i3-1000000000000000000000000000
χ466-660-6000032−320-22-2020000−2200000000000000000000000006-660-6000032−320-22-2020000−220000000000000000000000000
χ476-660-60000−32320-22-20200002−200000000000000000000000006-660-60000−32320-22-20200002−20000000000000000000000000
χ4812-12-6060000000-4420-2000000000000000000000000000000012-12-6060000000-4420-20000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111
χ5111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-111111-1-1-1111-1-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-11
χ5211111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-1111111-1-1-11-1-11-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1-1-1-1-1-1111-111-1
χ53222-22000-2000222-22000-2000222-22000-2000222-22000-2000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000-2-2-22-20002000
χ5422-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000-2-21-21-2111000
χ5522-12-1-211-100022-12-1-211-100022-12-1-211-100022-12-1-211-1000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-11000-2-21-212-1-11000
χ5622-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i3100022-1-2-10−i3i31000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-1000-2-21210i3−i3-1000
χ5722-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i3100022-1-2-10i3−i31000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-1000-2-21210−i3i3-1000
χ582-220-200002−202-220-200002−202-220-200002−202-220-200002−20-22-2020000−220-22-2020000−220-22-2020000−220-22-2020000−220
χ592-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−220-22-20200002−20-22-20200002−20-22-20200002−20-22-20200002−20
χ604-4-20200000004-4-20200000004-4-20200000004-4-2020000000-4420-20000000-4420-20000000-4420-20000000-4420-20000000
χ61111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ62111111111-1-1-1111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i32-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ6311111-1-1-1111-111111-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-111−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ6411111-1-1-11-1-1111111-1-1-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32-1-1-1-1-1111-111-1-1-1-1-1-1111-111-11−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ65222-22000-2000222-22000-2000−1+i3−1+i3−1+i31−i3−1+i30001−i3000−1−i3−1−i3−1−i31+i3−1−i30001+i3000-2-2-22-20002000-2-2-22-200020001−i31−i31−i3−1+i31−i3000−1+i30001+i31+i31+i3−1−i31+i3000−1−i3000
χ6622-12-12-1-1-100022-12-12-1-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000-2-21-21-2111000-2-21-21-21110001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i320001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i32000
χ6722-12-1-211-100022-12-1-211-1000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000-2-21-212-1-11000-2-21-212-1-110001−i31−i3−1+i321−i3−1+i32−1+i31−i321−i32−1+i320001+i31+i3−1−i321+i3−1−i32−1−i31+i321+i32−1−i32000
χ6822-1-2-10−i3i3100022-1-2-10−i3i31000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000-2-21210i3−i3-1000-2-21210i3−i3-10001−i31−i3−1+i32−1+i3−1+i320−3−i323+i321−i320001+i31+i3−1−i32−1−i3−1−i3203−i32−3+i321+i32000
χ6922-1-2-10i3−i3100022-1-2-10i3−i31000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000-2-21210−i3i3-1000-2-21210−i3i3-10001−i31−i3−1+i32−1+i3−1+i3203+i32−3−i321−i320001+i31+i3−1−i32−1−i3−1−i320−3+i323−i321+i32000
χ702-220-200002−202-220-200002−20−1+i31−i3−1+i301−i30000ζ5−ζ23−ζ5+ζ230−1−i31+i3−1−i301+i30000−ζ7+ζ13ζ7−ζ130-22-2020000−220-22-2020000−2201−i3−1+i31−i30−1+i30000−ζ5+ζ23ζ5−ζ2301+i3−1−i31+i30−1−i30000ζ7−ζ13−ζ7+ζ130
χ712-220-20000−2202-220-20000−220−1+i31−i3−1+i301−i30000−ζ5+ζ23ζ5−ζ230−1−i31+i3−1−i301+i30000ζ7−ζ13−ζ7+ζ130-22-20200002−20-22-20200002−201−i3−1+i31−i30−1+i30000ζ5−ζ23−ζ5+ζ2301+i3−1−i31+i30−1−i30000−ζ7+ζ13ζ7−ζ130
χ724-4-20200000004-4-2020000000−2+2i32−2i31−i30−1+i30000000−2−2i32+2i31+i30−1−i30000000-4420-20000000-4420-200000002−2i3−2+2i3−1+i301−i300000002+2i3−2−2i3−1−i301+i30000000
χ73111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ74111111111-1-1-1111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i32-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ7511111-1-1-1111-111111-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32-1-1-1-1-1111-1-1-11-1-1-1-1-1111-1-1-111+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ7611111-1-1-11-1-1111111-1-1-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32-1-1-1-1-1111-111-1-1-1-1-1-1111-111-11+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ77222-22000-2000222-22000-2000−1−i3−1−i3−1−i31+i3−1−i30001+i3000−1+i3−1+i3−1+i31−i3−1+i30001−i3000-2-2-22-20002000-2-2-22-200020001+i31+i31+i3−1−i31+i3000−1−i30001−i31−i31−i3−1+i31−i3000−1+i3000
χ7822-12-12-1-1-100022-12-12-1-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i32000-2-21-21-2111000-2-21-21-21110001+i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i320001−i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i32000
χ7922-12-1-211-100022-12-1-211-1000−1−i3−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i32000−1+i3−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i32000-2-21-212-1-11000-2-21-212-1-110001+i31+i3−1−i321+i3−1−i32−1−i31+i321+i32−1−i320001−i31−i3−1+i321−i3−1+i32−1+i31−i321−i32−1+i32000
χ8022-1-2-10−i3i3100022-1-2-10−i3i31000−1−i3−1−i31+i321+i31+i320−3+i323−i32−1−i32000−1+i3−1+i31−i321−i31−i3203+i32−3−i32−1+i32000-2-21210i3−i3-1000-2-21210i3−i3-10001+i31+i3−1−i32−1−i3−1−i3203−i32−3+i321+i320001−i31−i3−1+i32−1+i3−1+i320−3−i323+i321−i32000
χ8122-1-2-10i3−i3100022-1-2-10i3−i31000−1−i3−1−i31+i321+i31+i3203−i32−3+i32−1−i32000−1+i3−1+i31−i321−i31−i320−3−i323+i32−1+i32000-2-21210−i3i3-1000-2-21210−i3i3-10001+i31+i3−1−i32−1−i3−1−i320−3+i323−i321+i320001−i31−i3−1+i32−1+i3−1+i3203+i32−3−i321−i32000
χ822-220-200002−202-220-200002−20−1−i31+i3−1−i301+i30000−ζ7+ζ13ζ7−ζ130−1+i31−i3−1+i301−i30000ζ5−ζ23−ζ5+ζ230-22-2020000−220-22-2020000−2201+i3−1−i31+i30−1−i30000ζ7−ζ13−ζ7+ζ1301−i3−1+i31−i30−1+i30000−ζ5+ζ23ζ5−ζ230
χ832-220-20000−2202-220-20000−220−1−i31+i3−1−i301+i30000ζ7−ζ13−ζ7+ζ130−1+i31−i3−1+i301−i30000−ζ5+ζ23ζ5−ζ230-22-20200002−20-22-20200002−201+i3−1−i31+i30−1−i30000−ζ7+ζ13ζ7−ζ1301−i3−1+i31−i30−1+i30000ζ5−ζ23−ζ5+ζ230
χ844-4-20200000004-4-2020000000−2−2i32+2i31+i30−1−i30000000−2+2i32−2i31−i30−1+i30000000-4420-20000000-4420-200000002+2i3−2−2i3−1−i301+i300000002−2i3−2+2i3−1+i301−i30000000
χ85333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3111111111111000000000000000000000000
χ86333333333-3-3-3-1-1-1-1-1-1-1-1-1111000000000000000000000000-3-3-3-3-3-3-3-3-3333111111111-1-1-1000000000000000000000000
χ8733333-3-3-3333-3-1-1-1-1-1111-1-1-11000000000000000000000000-3-3-3-3-3333-3-3-3311111-1-1-1111-1000000000000000000000000
χ8833333-3-3-33-3-33-1-1-1-1-1111-111-1000000000000000000000000-3-3-3-3-3333-333-311111-1-1-11-1-11000000000000000000000000
χ89666-66000-6000-2-2-22-20002000000000000000000000000000-6-6-66-60006000222-22000-2000000000000000000000000000
χ9066-36-36-3-3-3000-2-21-21-2111000000000000000000000000000-6-63-63-633300022-12-12-1-1-1000000000000000000000000000
χ9166-36-3-633-3000-2-21-212-1-11000000000000000000000000000-6-63-636-3-3300022-12-1-211-1000000000000000000000000000
χ9266-3-6-30−3i33i33000-2-21210i3−i3-1000000000000000000000000000-6-636303i3−3i3-300022-1-2-10−i3i31000000000000000000000000000
χ9366-3-6-303i3−3i33000-2-21210−i3i3-1000000000000000000000000000-6-63630−3i33i3-300022-1-2-10i3−i31000000000000000000000000000
χ946-660-6000032−320-22-2020000−220000000000000000000000000-66-6060000−323202-220-200002−20000000000000000000000000
χ956-660-60000−32320-22-20200002−20000000000000000000000000-66-606000032−3202-220-20000−220000000000000000000000000
χ9612-12-6060000000-4420-20000000000000000000000000000000-121260-600000004-4-2020000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.