Finite Group Databasebeta

← Group #89009

Character table — Group #89009

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222446666661811222244666666181122224466666618112222446666661811222244666666181122224466666618
order1233663624661212236336636612661212636336636612661212622666666246612122666666666126612126666666666126612126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000
χ6222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000
χ722-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10
χ822-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000
χ112-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000
χ122-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30
χ132-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ17111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i32−1−i32−1−i321+i321+i321+i32111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i32−1−i32−1−i321+i321+i321+i32
χ1811111111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i3211111111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ1911111111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i3211111111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32
χ20222-1-12-1-120-1-1000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000222-1-12-1-120-1-1000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000
χ21222-1-12-1-1-2011000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000222-1-12-1-1-2011000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000
χ2222-122-1-1-10200-1-10−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i32022-122-1-1-10200-1-10−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320
χ2322-122-1-1-10-200110−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i32022-122-1-1-10-200110−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320
χ242-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i300000002-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000
χ252-22-11-2-1100−i3i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i320002-22-11-2-1100−i3i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000
χ262-22-11-2-1100i3−i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i320002-22-11-2-1100i3−i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000
χ272-2-12-21-1100003−30−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ1102-2-12-21-1100003−30−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110
χ282-2-12-21-110000−330−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ1102-2-12-21-110000−330−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110
χ2944-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i32000000044-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000
χ304-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i3200000004-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000
χ31111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ32111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−i32−1+i32−1+i321−i321−i321−i32111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−i32−1+i32−1+i321−i321−i321−i32
χ3311111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i3211111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ3411111111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i3211111111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32
χ35222-1-12-1-120-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000222-1-12-1-120-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000
χ36222-1-12-1-1-2011000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000222-1-12-1-1-2011000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000
χ3722-122-1-1-10200-1-10−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i32022-122-1-1-10200-1-10−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320
χ3822-122-1-1-10-200110−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i32022-122-1-1-10-200110−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320
χ392-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i300000002-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000
χ402-22-11-2-1100−i3i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i320002-22-11-2-1100−i3i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000
χ412-22-11-2-1100i3−i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i320002-22-11-2-1100i3−i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000
χ422-2-12-21-1100003−30−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ1102-2-12-21-1100003−30−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110
χ432-2-12-21-110000−330−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ1102-2-12-21-110000−330−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110
χ4444-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i32000000044-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000
χ454-4-2-2221-10000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i3200000004-4-2-2221-10000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ4811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11
χ4911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ50222-1-12-1-120-1-1000222-1-12-1-120-1-1000222-1-12-1-120-1-1000-2-2-211-211-2011000-2-2-211-211-2011000-2-2-211-211-2011000
χ51222-1-12-1-1-2011000222-1-12-1-1-2011000222-1-12-1-1-2011000-2-2-211-21120-1-1000-2-2-211-21120-1-1000-2-2-211-21120-1-1000
χ5222-122-1-1-10200-1-1022-122-1-1-10200-1-1022-122-1-1-10200-1-10-2-21-2-21110-200110-2-21-2-21110-200110-2-21-2-21110-200110
χ5322-122-1-1-10-20011022-122-1-1-10-20011022-122-1-1-10-200110-2-21-2-21110200-1-10-2-21-2-21110200-1-10-2-21-2-21110200-1-10
χ542-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000-22-2-222-220000000-22-2-222-220000000
χ552-22-11-2-1100−i3i30002-22-11-2-1100−i3i30002-22-11-2-1100−i3i3000-22-21-121-100i3−i3000-22-21-121-100i3−i3000-22-21-121-100i3−i3000
χ562-22-11-2-1100i3−i30002-22-11-2-1100i3−i30002-22-11-2-1100i3−i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000-22-21-121-100−i3i3000
χ572-2-12-21-1100003−302-2-12-21-1100003−302-2-12-21-1100003−30-221-22-11-10000−330-221-22-11-10000−330-221-22-11-10000−330
χ582-2-12-21-110000−3302-2-12-21-110000−3302-2-12-21-110000−330-221-22-11-100003−30-221-22-11-100003−30-221-22-11-100003−30
χ5944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-10000000
χ604-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000-4422-2-2-110000000-4422-2-2-110000000
χ61111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ62111111111-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i32−1−i32−1−i321+i321+i321+i32-1-1-1-1-1-1-1-1-11-1-11111−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ6311111111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32-1-1-1-1-1-1-1-11-111-1-111−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ6411111111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32-1-1-1-1-1-1-1-1111111-11−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ65222-1-12-1-120-1-1000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000-2-2-211-211-20110001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i30−1+i32−1+i320001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i30−1−i32−1−i32000
χ66222-1-12-1-1-2011000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000-2-2-211-21120-1-10001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i301−i321−i320001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i301+i321+i32000
χ6722-122-1-1-10200-1-10−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320-2-21-2-21110-2001101−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3201−i300−1+i32−1+i3201+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3201+i300−1−i32−1−i320
χ6822-122-1-1-10-200110−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320-2-21-2-21110200-1-101−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i320−1+i3001−i321−i3201+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i320−1−i3001+i321+i320
χ692-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000-22-2-222-2200000001−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300000001+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i30000000
χ702-22-11-2-1100−i3i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000-22-21-121-100i3−i30001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i3200−3−i323+i320001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i32003−i32−3+i32000
χ712-22-11-2-1100i3−i3000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000-22-21-121-100−i3i30001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i32003+i32−3−i320001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i3200−3+i323−i32000
χ722-2-12-21-1100003−30−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110-221-22-11-10000−3301−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ1101+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ110
χ732-2-12-21-110000−330−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110-221-22-11-100003−301−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ1101+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ110
χ7444-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000-4-42222-1-100000002−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i321−i3200000002+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i321+i320000000
χ754-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000-4422-2-2-1100000002−2i3−2+2i3−1+i3−1+i31−i31−i31−i32−1+i3200000002+2i3−2−2i3−1−i3−1−i31+i31+i31+i32−1−i320000000
χ76111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ77111111111-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+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−i32−1+i32−1+i321−i321−i321−i32-1-1-1-1-1-1-1-1-11-1-11111+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ7811111111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32-1-1-1-1-1-1-1-11-111-1-111+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ7911111111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32-1-1-1-1-1-1-1-1111111-11+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ80222-1-12-1-120-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i301−i321−i32000-2-2-211-211-20110001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i30−1−i32−1−i320001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i30−1+i32−1+i32000
χ81222-1-12-1-1-2011000−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i30−1+i32−1+i32000-2-2-211-21120-1-10001+i31+i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i301+i321+i320001−i31−i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i301−i321−i32000
χ8222-122-1-1-10200-1-10−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i320−1+i3001−i321−i320-2-21-2-21110-2001101+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3201+i300−1−i32−1−i3201−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3201−i300−1+i32−1+i320
χ8322-122-1-1-10-200110−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i3201−i300−1+i32−1+i320-2-21-2-21110200-1-101+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i320−1−i3001+i321+i3201−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i320−1+i3001−i321−i320
χ842-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000-22-2-222-2200000001+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300000001−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i30000000
χ852-22-11-2-1100−i3i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i32003+i32−3−i32000-22-21-121-100i3−i30001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i32003−i32−3+i320001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i3200−3−i323+i32000
χ862-22-11-2-1100i3−i3000−1−i31+i3−1−i31+i32−1−i321+i31+i32−1−i32003−i32−3+i32000−1+i31−i3−1+i31−i32−1+i321−i31−i32−1+i3200−3−i323+i32000-22-21-121-100−i3i30001+i3−1−i31+i3−1−i321+i32−1−i3−1−i321+i3200−3+i323−i320001−i3−1+i31−i3−1+i321−i32−1+i3−1+i321−i32003+i32−3−i32000
χ872-2-12-21-1100003−30−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200002ζ7+ζ11−2ζ7−ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000−ζ7−2ζ11ζ7+2ζ110-221-22-11-10000−3301+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i320000−2ζ7−ζ112ζ7+ζ1101−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000ζ7+2ζ11−ζ7−2ζ110
χ882-2-12-21-110000−330−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i320000−2ζ7−ζ112ζ7+ζ110−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i320000ζ7+2ζ11−ζ7−2ζ110-221-22-11-100003−301+i3−1−i3−1−i321+i3−1−i31+i32−1−i321+i3200002ζ7+ζ11−2ζ7−ζ1101−i3−1+i3−1+i321−i3−1+i31−i32−1+i321−i320000−ζ7−2ζ11ζ7+2ζ110
χ8944-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000-4-42222-1-100000002+2i32+2i3−1−i3−1−i3−1−i3−1−i31+i321+i3200000002−2i32−2i3−1+i3−1+i3−1+i3−1+i31−i321−i320000000
χ904-4-2-2221-10000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000-4422-2-2-1100000002+2i3−2−2i3−1−i3−1−i31+i31+i31+i32−1−i3200000002−2i3−2+2i3−1+i3−1+i31−i31−i31−i32−1+i320000000

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