Finite Group Databasebeta

← Group #11762161

Character table — Group #11762161

Order 1080.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size12444510151524888102030302488810203030248881020303024888102030309183636364590135135
order1351515264433151515661212331515156612123315151566121233151515661212261030302644
χ1111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i
χ411111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100
χ744-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000
χ84-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ94-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ10111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111
χ1211111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii
χ1311111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100
χ152-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100
χ1644-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000
χ174-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000
χ184-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000
χ19222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ202222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000
χ2122222-2-22i−2i22222-2-22i−2i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii000000000
χ2222222-2-2−2i2i22222-2-2−2i2i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i000000000
χ234-24-2-24-2004-24-2-24-200-21-211-2100-21-211-2100-21-211-2100000000000
χ244-24-2-2-42004-24-2-2-4200-21-2112-100-21-2112-100-21-2112-100000000000
χ2588-2-2-2000088-2-2-20000-4-41110000-4-41110000-4-41110000000000000
χ268-4-21−i151+i1500008-4-21−i151+i150000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000000000000
χ278-4-21+i151−i1500008-4-21+i151−i150000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000000000000
χ28222222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ292222222-2-2-1-1-1-1-1-1-1112222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000
χ3022222-2-22i−2i-1-1-1-1-111−ii22222-2-22i−2i-1-1-1-1-111−ii-1-1-1-1-111−ii000000000
χ3122222-2-2−2i2i-1-1-1-1-111i−i22222-2-2−2i2i-1-1-1-1-111i−i-1-1-1-1-111i−i000000000
χ324-24-2-24-200-21-211-21004-24-2-24-200-21-211-2100-21-211-2100000000000
χ334-24-2-2-4200-21-2112-1004-24-2-2-4200-21-2112-100-21-2112-100000000000
χ3488-2-2-20000-4-4111000088-2-2-20000-4-41110000-4-41110000000000000
χ358-4-21−i151+i150000-421−1+i152−1−i15200008-4-21−i151+i150000-421−1+i152−1−i1520000-421−1+i152−1−i1520000000000000
χ368-4-21+i151−i150000-421−1−i152−1+i15200008-4-21+i151−i150000-421−1−i152−1+i1520000-421−1−i152−1+i1520000000000000
χ37222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1000000000
χ382222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-1112222222-2-2-1-1-1-1-1-1-111000000000
χ3922222-2-22i−2i-1-1-1-1-111−ii-1-1-1-1-111−ii22222-2-22i−2i-1-1-1-1-111−ii000000000
χ4022222-2-2−2i2i-1-1-1-1-111i−i-1-1-1-1-111i−i22222-2-2−2i2i-1-1-1-1-111i−i000000000
χ414-24-2-24-200-21-211-2100-21-211-21004-24-2-24-200-21-211-2100000000000
χ424-24-2-2-4200-21-2112-100-21-2112-1004-24-2-2-4200-21-2112-100000000000
χ4388-2-2-20000-4-41110000-4-4111000088-2-2-20000-4-41110000000000000
χ448-4-21−i151+i150000-421−1+i152−1−i1520000-421−1+i152−1−i15200008-4-21−i151+i150000-421−1+i152−1−i1520000000000000
χ458-4-21+i151−i150000-421−1−i152−1+i1520000-421−1−i152−1+i15200008-4-21+i151−i150000-421−1−i152−1+i1520000000000000
χ46222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222000000000
χ472222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1112222222-2-2000000000
χ4822222-2-22i−2i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii22222-2-22i−2i000000000
χ4922222-2-2−2i2i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i22222-2-2−2i2i000000000
χ504-24-2-24-200-21-211-2100-21-211-2100-21-211-21004-24-2-24-200000000000
χ514-24-2-2-4200-21-2112-100-21-2112-100-21-2112-1004-24-2-2-4200000000000
χ5288-2-2-20000-4-41110000-4-41110000-4-4111000088-2-2-20000000000000
χ538-4-21−i151+i150000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200008-4-21−i151+i150000000000000
χ548-4-21+i151−i150000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200008-4-21+i151−i150000000000000

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