Finite Group Databasebeta

← Group #13094720

Character table — Group #13094720

Order 1512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222244666666183366661212181818181818543366661212181818181818547714141414282842424242424212677141414142828424242424242126
order123366362266664714212142422142141442424242287142121424221421414424242422836336636666666123633663666666612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30
χ112-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30
χ122-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000
χ132-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ17111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1−1+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
χ1811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1−1+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
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1+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
χ20222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320
χ21222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320
χ2222-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000
χ2322-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000
χ242-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000
χ252-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−3−i323+i320−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200003−i32−3+i320
χ262-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i3200003+i32−3−i320−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−3+i323−i320
χ272-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−3−i323+i32000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32003−i32−3+i32000
χ282-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i32003+i32−3−i32000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−3+i323−i32000
χ2944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000
χ304-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000
χ31111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ32111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1−1−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
χ3311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1−1−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
χ3411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11−1−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
χ35222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i320−1−i3001+i321+i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i320−1+i3001−i321−i320
χ36222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i3201+i300−1−i32−1−i320−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i3201−i300−1+i32−1+i320
χ3722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i301+i321+i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i301−i321−i32000
χ3822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i30−1−i32−1−i32000−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i30−1+i32−1+i32000
χ392-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30000000
χ402-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i3200003−i32−3+i320−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i320000−3−i323+i320
χ412-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30−1−i31+i3−1−i31+i321+i3−1−i321+i32−1−i320000−3+i323−i320−1+i31−i3−1+i31−i321−i3−1+i321−i32−1+i3200003+i32−3−i320
χ422-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i32003−i32−3+i32000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i3200−3−i323+i32000
χ432-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000−1−i31+i31+i32−1−i3−1−i321+i31+i32−1−i3200−3+i323−i32000−1+i31−i31−i32−1+i3−1+i321−i31−i32−1+i32003+i32−3−i32000
χ4444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000−2−2i3−2−2i31+i31+i31+i31+i3−1−i32−1−i320000000−2+2i3−2+2i31−i31−i31−i31−i3−1+i32−1+i320000000
χ454-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i321+i320000000−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i321−i320000000
χ46333333333333333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72000000000000000000000000000000
χ47333333333-333-3-3-3−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i721+i72−1−i72−1−i721+i721+i721+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i721−i72−1+i72−1+i721−i721−i721−i72000000000000000000000000000000
χ4833333333-33-3-333-3−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i721+i72−1−i721+i721+i72−1−i72−1−i721+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i721−i72−1+i721−i721−i72−1+i72−1+i721−i72000000000000000000000000000000
χ4933333333-3-3-3-3-3-33−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i721+i721+i721+i721+i721+i721+i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i721−i721−i721−i721−i721−i721−i72−1+i72000000000000000000000000000000
χ50666-36-3-3-30600-3-30−1−i7−1−i7−1−i71+i72−1−i71+i721+i721+i720−1−i7001+i721+i720−1+i7−1+i7−1+i71−i72−1+i71−i721−i721−i720−1+i7001−i721−i720000000000000000000000000000000
χ51666-36-3-3-30-600330−1−i7−1−i7−1−i71+i72−1−i71+i721+i721+i7201+i700−1−i72−1−i720−1+i7−1+i7−1+i71−i72−1+i71−i721−i721−i7201−i700−1+i72−1+i720000000000000000000000000000000
χ5266-36-36-3-360-3-3000−1−i7−1−i71+i72−1−i71+i72−1−i71+i721+i72−1−i701+i721+i72000−1+i7−1+i71−i72−1+i71−i72−1+i71−i721−i72−1+i701−i721−i72000000000000000000000000000000000
χ5366-36-36-3-3-6033000−1−i7−1−i71+i72−1−i71+i72−1−i71+i721+i721+i70−1−i72−1−i72000−1+i7−1+i71−i72−1+i71−i72−1+i71−i721−i721−i70−1+i72−1+i72000000000000000000000000000000000
χ546-666-6-66-60000000−1−i71+i7−1−i7−1−i71+i71+i7−1−i71+i70000000−1+i71−i7−1+i7−1+i71−i71−i7−1+i71−i70000000000000000000000000000000000000
χ556-66-3-63-3300003i3−3i30−1−i71+i7−1−i71+i721+i7−1−i721+i72−1−i720000ζ−ζ2+ζ4−ζ8−ζ11+ζ16−ζ+ζ2−ζ4+ζ8+ζ11−ζ160−1+i71−i7−1+i71−i721−i7−1+i721−i72−1+i720000−ζ5+ζ10+ζ13−ζ17+ζ19−ζ20ζ5−ζ10−ζ13+ζ17−ζ19+ζ200000000000000000000000000000000
χ566-66-3-63-330000−3i33i30−1−i71+i7−1−i71+i721+i7−1−i721+i72−1−i720000−ζ+ζ2−ζ4+ζ8+ζ11−ζ16ζ−ζ2+ζ4−ζ8−ζ11+ζ160−1+i71−i7−1+i71−i721−i7−1+i721−i72−1+i720000ζ5−ζ10−ζ13+ζ17−ζ19+ζ20−ζ5+ζ10+ζ13−ζ17+ζ19−ζ200000000000000000000000000000000
χ576-6-363-6-33003i3−3i3000−1−i71+i71+i72−1−i7−1−i721+i71+i72−1−i7200ζ−ζ2+ζ4−ζ8−ζ11+ζ16−ζ+ζ2−ζ4+ζ8+ζ11−ζ16000−1+i71−i71−i72−1+i7−1+i721−i71−i72−1+i7200−ζ5+ζ10+ζ13−ζ17+ζ19−ζ20ζ5−ζ10−ζ13+ζ17−ζ19+ζ20000000000000000000000000000000000
χ586-6-363-6-3300−3i33i3000−1−i71+i71+i72−1−i7−1−i721+i71+i72−1−i7200−ζ+ζ2−ζ4+ζ8+ζ11−ζ16ζ−ζ2+ζ4−ζ8−ζ11+ζ16000−1+i71−i71−i72−1+i7−1+i721−i71−i72−1+i7200ζ5−ζ10−ζ13+ζ17−ζ19+ζ20−ζ5+ζ10+ζ13−ζ17+ζ19−ζ20000000000000000000000000000000000
χ591212-6-6-6-6330000000−2−2i7−2−2i71+i71+i71+i71+i7−1−i72−1−i720000000−2+2i7−2+2i71−i71−i71−i71−i7−1+i72−1+i720000000000000000000000000000000000000
χ6012-12-6-6663-30000000−2−2i72+2i71+i71+i7−1−i7−1−i7−1−i721+i720000000−2+2i72−2i71−i71−i7−1+i7−1+i7−1+i721−i720000000000000000000000000000000000000
χ61333333333333333−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72000000000000000000000000000000
χ62333333333-333-3-3-3−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i721−i72−1+i72−1+i721−i721−i721−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i721+i72−1−i72−1−i721+i721+i721+i72000000000000000000000000000000
χ6333333333-33-3-333-3−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i721−i72−1+i721−i721−i72−1+i72−1+i721−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i721+i72−1−i721+i721+i72−1−i72−1−i721+i72000000000000000000000000000000
χ6433333333-3-3-3-3-3-33−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i721−i721−i721−i721−i721−i721−i72−1+i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i721+i721+i721+i721+i721+i721+i72−1−i72000000000000000000000000000000
χ65666-36-3-3-30600-3-30−1+i7−1+i7−1+i71−i72−1+i71−i721−i721−i720−1+i7001−i721−i720−1−i7−1−i7−1−i71+i72−1−i71+i721+i721+i720−1−i7001+i721+i720000000000000000000000000000000
χ66666-36-3-3-30-600330−1+i7−1+i7−1+i71−i72−1+i71−i721−i721−i7201−i700−1+i72−1+i720−1−i7−1−i7−1−i71+i72−1−i71+i721+i721+i7201+i700−1−i72−1−i720000000000000000000000000000000
χ6766-36-36-3-360-3-3000−1+i7−1+i71−i72−1+i71−i72−1+i71−i721−i72−1+i701−i721−i72000−1−i7−1−i71+i72−1−i71+i72−1−i71+i721+i72−1−i701+i721+i72000000000000000000000000000000000
χ6866-36-36-3-3-6033000−1+i7−1+i71−i72−1+i71−i72−1+i71−i721−i721−i70−1+i72−1+i72000−1−i7−1−i71+i72−1−i71+i72−1−i71+i721+i721+i70−1−i72−1−i72000000000000000000000000000000000
χ696-666-6-66-60000000−1+i71−i7−1+i7−1+i71−i71−i7−1+i71−i70000000−1−i71+i7−1−i7−1−i71+i71+i7−1−i71+i70000000000000000000000000000000000000
χ706-66-3-63-3300003i3−3i30−1+i71−i7−1+i71−i721−i7−1+i721−i72−1+i720000−ζ5+ζ10+ζ13−ζ17+ζ19−ζ20ζ5−ζ10−ζ13+ζ17−ζ19+ζ200−1−i71+i7−1−i71+i721+i7−1−i721+i72−1−i720000ζ−ζ2+ζ4−ζ8−ζ11+ζ16−ζ+ζ2−ζ4+ζ8+ζ11−ζ160000000000000000000000000000000
χ716-66-3-63-330000−3i33i30−1+i71−i7−1+i71−i721−i7−1+i721−i72−1+i720000ζ5−ζ10−ζ13+ζ17−ζ19+ζ20−ζ5+ζ10+ζ13−ζ17+ζ19−ζ200−1−i71+i7−1−i71+i721+i7−1−i721+i72−1−i720000−ζ+ζ2−ζ4+ζ8+ζ11−ζ16ζ−ζ2+ζ4−ζ8−ζ11+ζ160000000000000000000000000000000
χ726-6-363-6-33003i3−3i3000−1+i71−i71−i72−1+i7−1+i721−i71−i72−1+i7200−ζ5+ζ10+ζ13−ζ17+ζ19−ζ20ζ5−ζ10−ζ13+ζ17−ζ19+ζ20000−1−i71+i71+i72−1−i7−1−i721+i71+i72−1−i7200ζ−ζ2+ζ4−ζ8−ζ11+ζ16−ζ+ζ2−ζ4+ζ8+ζ11−ζ16000000000000000000000000000000000
χ736-6-363-6-3300−3i33i3000−1+i71−i71−i72−1+i7−1+i721−i71−i72−1+i7200ζ5−ζ10−ζ13+ζ17−ζ19+ζ20−ζ5+ζ10+ζ13−ζ17+ζ19−ζ20000−1−i71+i71+i72−1−i7−1−i721+i71+i72−1−i7200−ζ+ζ2−ζ4+ζ8+ζ11−ζ16ζ−ζ2+ζ4−ζ8−ζ11+ζ16000000000000000000000000000000000
χ741212-6-6-6-6330000000−2+2i7−2+2i71−i71−i71−i71−i7−1+i72−1+i720000000−2−2i7−2−2i71+i71+i71+i71+i7−1−i72−1−i720000000000000000000000000000000000000
χ7512-12-6-6663-30000000−2+2i72−2i71−i71−i7−1+i7−1+i7−1+i721−i720000000−2−2i72+2i71+i71+i7−1−i7−1−i7−1−i721+i720000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 21 (ζ21 = 1); i = ζ5.