Finite Group Databasebeta

← Group #72243375

Character table — Group #72243375

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size12224444466991212121212121212121212121212121212181818181818272736363636363636363636545481818181818181162162162162162162162162162
order133333333993399999999999999999339999229999999999662666666666181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-111111111111-1-111-1-1-1-1-1-1-11-111-1-1
χ3111111111111111111111111111111111111-111111111111-11-1-1-111-1-1-1-1-1-11-1-111
χ4111111111111111111111111111111111111-1-11111111111-1-11-1-1-1-111111-1-1-1-1-1-1
χ511111111111−1+i32−1−i3211111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ611111111111−1+i32−1−i3211111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32-11−i321+i321-1−1+i32−1−i321−i321+i32
χ711111111111−1+i32−1−i3211111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i32-11−i321+i32-111−i321+i32−1+i32−1−i32
χ811111111111−1+i32−1−i3211111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321+i321−i321+i32
χ911111111111−1−i32−1+i3211111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ1011111111111−1−i32−1+i3211111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32-11+i321−i321-1−1−i32−1+i321+i321−i32
χ1111111111111−1−i32−1+i3211111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i32-11+i321−i32-111+i321−i32−1−i32−1+i32
χ1211111111111−1−i32−1+i3211111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321−i321+i321−i32
χ132222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-12-1022-12-1-1-1-1-1-1-10200022000000-100-1-1
χ142222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-12-10-22-12-1-1-1-1-1-1-10-2000-2-200000010011
χ152222222222-1−1+i3−1−i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i32−1−i31+i3202−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i3202000−1+i3−1−i3000000-1001−i321+i32
χ162222222222-1−1+i3−1−i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i31−i32−1−i31+i320-2−1+i31−i32−1−i31+i321−i321−i321−i321+i321+i321+i320-20001−i31+i3000000100−1+i32−1−i32
χ172222222222-1−1−i3−1+i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i32−1+i31−i3202−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i3202000−1−i3−1+i3000000-1001+i321−i32
χ182222222222-1−1−i3−1+i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i31+i32−1+i31−i320-2−1−i31+i32−1+i31−i321+i321+i321+i321−i321−i321−i320-20001+i31−i3000000100−1−i32−1+i32
χ19222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-122-12-1220-12-12-1-1-1-1-1-1200220000000-10-1-100
χ20222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-122-12-12-20-12-12-1-1-1-1-1-1-200-2-20000000101100
χ21222222222-12−1+i3−1−i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31+i32−1−i3201−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i32200−1+i3−1−i30000000-101−i321+i3200
χ22222222222-12−1+i3−1−i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1+i3−1−i31−i32−1+i31+i32−1−i3-201−i32−1+i31+i32−1−i31−i321−i321−i321+i321+i321+i32-2001−i31+i3000000010−1+i32−1−i3200
χ23222222222-12−1−i3−1+i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31−i32−1+i3201+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i32200−1−i3−1+i30000000-101+i321−i3200
χ24222222222-12−1−i3−1+i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1−i3−1+i31+i32−1−i31−i32−1+i3-201+i32−1−i31−i32−1+i31+i321+i321+i321−i321−i321−i32-2001+i31−i3000000010−1−i32−1+i3200
χ252-122-1-1-1-1222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1222200-1-1-1-12-1-12-1-1002000022-1-1-1000000
χ262-122-1-1-1-1222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1222200-1-1-1-12-1-12-1-100-20000-2-2111000000
χ272-122-1-1-1-1222−1+i3−1−i32-1-1-12-1-1-1222-1-1-1-1-1-11−i321+i32−1+i3−1+i3−1−i3−1−i3001−i321−i321+i321+i32−1+i31−i321−i32−1−i31+i321+i320020000−1+i3−1−i3-11−i321+i32000000
χ282-122-1-1-1-1222−1+i3−1−i32-1-1-12-1-1-1222-1-1-1-1-1-11−i321+i32−1+i3−1+i3−1−i3−1−i3001−i321−i321+i321+i32−1+i31−i321−i32−1−i31+i321+i3200-200001−i31+i31−1+i32−1−i32000000
χ292-122-1-1-1-1222−1−i3−1+i32-1-1-12-1-1-1222-1-1-1-1-1-11+i321−i32−1−i3−1−i3−1+i3−1+i3001+i321+i321−i321−i32−1−i31+i321+i32−1+i31−i321−i320020000−1−i3−1+i3-11+i321−i32000000
χ302-122-1-1-1-1222−1−i3−1+i32-1-1-12-1-1-1222-1-1-1-1-1-11+i321−i32−1−i3−1−i3−1+i3−1+i3001+i321+i321−i321−i32−1−i31+i321+i32−1+i31−i321−i3200-200001+i31−i31−1−i32−1+i32000000
χ31444444444-2-244-2-2-2-2-2-2-2-211111111144-2-2-2-200-2-2-2-2111111000000000000000000
χ32444444444-2-2−2+2i3−2−2i3-2-2-2-2-2-2-2-2111111111−2+2i3−2−2i31−i31−i31+i31+i3001−i31−i31+i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000
χ33444444444-2-2−2−2i3−2+2i3-2-2-2-2-2-2-2-2111111111−2−2i3−2+2i31+i31+i31−i31−i3001+i31+i31−i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000
χ344-244-2-2-2-244-2444-2-2-2-2111-2-2-2111111-2-24-24-200-21-21-211-211000000000000000000
χ354-244-2-2-2-244-2−2+2i3−2−2i34-2-2-2-2111-2-2-21111111−i31+i3−2+2i31−i3−2−2i31+i3001−i3−1+i321+i3−1−i321−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000
χ364-244-2-2-2-244-2−2−2i3−2+2i34-2-2-2-2111-2-2-21111111+i31−i3−2−2i31+i3−2+2i31−i3001+i3−1−i321−i3−1+i321+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ374-244-2-2-2-24-2444-21114-2-2-2-2-2-2111111-2-2-24-24001-21-2-211-211000000000000000000
χ384-244-2-2-2-24-24−2+2i3−2−2i3-21114-2-2-2-2-2-21111111−i31+i31−i3−2+2i31+i3−2−2i300−1+i321−i3−1−i321+i31−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000
χ394-244-2-2-2-24-24−2−2i3−2+2i3-21114-2-2-2-2-2-21111111+i31−i31+i3−2−2i31−i3−2+2i300−1−i321+i3−1+i321−i31+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ404-244-2-2-2-24-2-244-2111-2111111−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32-2-2-2-2-2-20011111−1+3i32−1−3i321−1+3i32−1−3i32000000000000000000
χ414-244-2-2-2-24-2-244-2111-2111111−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32-2-2-2-2-2-20011111−1−3i32−1+3i321−1−3i32−1+3i32000000000000000000
χ424-244-2-2-2-24-2-2−2+2i3−2−2i3-2111-2111111−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i321−i31+i31−i31−i31+i31+i300−1+i32−1+i32−1−i32−1−i32−1+i32−2−i35+i32−1−i325−i32−2+i3000000000000000000
χ434-244-2-2-2-24-2-2−2+2i3−2−2i3-2111-2111111−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i321−i31+i31−i31−i31+i31+i300−1+i32−1+i32−1−i32−1−i32−1+i325+i32−2−i3−1−i32−2+i35−i32000000000000000000
χ444-244-2-2-2-24-2-2−2−2i3−2+2i3-2111-2111111−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i321+i31−i31+i31+i31−i31−i300−1−i32−1−i32−1+i32−1+i32−1−i325−i32−2+i3−1+i32−2−i35+i32000000000000000000
χ454-244-2-2-2-24-2-2−2−2i3−2+2i3-2111-2111111−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i321+i31−i31+i31+i31−i31−i300−1−i32−1−i32−1+i32−1+i32−1−i32−2+i35−i32−1+i325+i32−2−i3000000000000000000
χ46666-36-3-3-3-306000000-36-3-3000000000000000600000000000-300000000000000000
χ47666-36-3-3-3-306000000-36-3-3000000000000000-600000000000300000000000000000
χ4866-36-36-3-3-36000-36-3-300000000000000000000600000000000-30000000000000000
χ4966-36-36-3-3-36000-36-3-300000000000000000000-60000000000030000000000000000
χ50121212-612-6-6-6-60-60000003-633000000000000000000000000000000000000000000000
χ511212-612-612-6-6-6-60003-6330000000000000000000000000000000000000000000000000
χ521212-6-6-6-63330000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000
χ531212-6-6-6-63330000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000
χ541212-6-6-6-63330000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000
χ5512-612-6-6333-6012000000-6-633000000000000000000000000000000000000000000000
χ5612-612-6-6333-60-600000033−3+9i32−3−9i32000000000000000000000000000000000000000000000
χ5712-612-6-6333-60-600000033−3−9i32−3+9i32000000000000000000000000000000000000000000000
χ5812-6-6123-633-612000-6-6330000000000000000000000000000000000000000000000000
χ5912-6-6123-633-6-600033−3+9i32−3−9i320000000000000000000000000000000000000000000000000
χ6012-6-6123-633-6-600033−3−9i32−3+9i320000000000000000000000000000000000000000000000000
χ6112-6-6-633−3+9i32−3−9i3230000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ5+3ζ73ζ4+3ζ83ζ+3ζ2000000000000000000000000000000000000
χ6212-6-6-633−3+9i32−3−9i3230000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ4+3ζ83ζ+3ζ23ζ5+3ζ7000000000000000000000000000000000000
χ6312-6-6-633−3+9i32−3−9i3230000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ+3ζ23ζ5+3ζ73ζ4+3ζ8000000000000000000000000000000000000
χ6412-6-6-633−3−9i32−3+9i3230000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ8000000000000000000000000000000000000
χ6512-6-6-633−3−9i32−3+9i3230000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ4000000000000000000000000000000000000
χ6612-6-6-633−3−9i32−3+9i3230000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ5000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.