Finite Group Databasebeta

← Group #89012

Character table — Group #89012

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222244444466669912121212181122222444444666699121212121811222224444446666991212121218
order1223366366666224422661212236633663666666612126666121263663366366666661212666612126
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-111111111111111-11-1-1-11-11-1-1
χ31111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-11111111111111-11-11-1-1-11-11-1
χ41111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11
χ511-111111-1-11-1-111-1-11111-1-1-111-111111-1-11-1-111-1-11111-1-1-111-111111-1-11-1-111-1-11111-1-1-1
χ611-111111-1-11-1-11-1-11-1-11-1-11111-111111-1-11-1-11-1-11-1-11-1-11111-111111-1-11-1-11-1-11-1-11-1-111
χ711-111111-1-11-1-1-111-1-1-1-111-1111-111111-1-11-1-1-111-1-1-1-111-1111-111111-1-11-1-1-111-1-1-1-111-11
χ811-111111-1-11-1-1-1-11111-1-111-111-111111-1-11-1-1-1-11111-1-111-111-111111-1-11-1-1-1-11111-1-111-1
χ92222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-102222-12-1-12-1-1-1-10202000-10-10
χ102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-200010102222-12-1-12-1-1-1-10-20-20001010
χ11222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100222-12-12-1-12-1-1-1202000-10-100
χ12222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100222-12-12-1-12-1-1-1-20-200010100
χ1322-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-101022-22-12-1-1-21-111020-2000-1010
χ1422-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-1022-22-12-1-1-21-1110-20200010-10
χ1522-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-1010022-2-12-12-11-2-11120-2000-10100
χ1622-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-10022-2-12-12-11-2-111-20200010-100
χ172-2022-2-2200-20000002-2000002-2022-2-2200-20000002-2000002-2022-2-2200-20000002-200000
χ182-2022-2-2200-2000000-22000002-2022-2-2200-2000000-22000002-2022-2-2200-2000000-2200000
χ19444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000444-2-2-2-21-2-211100000000000
χ2044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-10000000000044-4-2-2-2-21221-1-100000000000
χ214-404-2-42-200200000000000004-404-2-42-200200000000000004-404-2-42-20020000000000000
χ224-40-242-4-200200000000000004-40-242-4-200200000000000004-40-242-4-20020000000000000
χ234-40-2-222100-13-3000000000004-40-2-222100-13-3000000000004-40-2-222100-13-300000000000
χ244-40-2-222100-1-33000000000004-40-2-222100-1-33000000000004-40-2-222100-1-3300000000000
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+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
χ2611111111111111-11-1-1-11-11-1-1−1+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+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−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−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32
χ271111111111111-11-11-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−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−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ281111111111111-1-1-1-111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ2911-111111-1-11-1-111-1-11111-1-1-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ3011-111111-1-11-1-11-1-11-1-11-1-111−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ3111-111111-1-11-1-1-111-1-1-1-111-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3211-111111-1-11-1-1-1-11111-1-111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ332222-12-1-12-1-1-1-10202000-10-10−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i320−1+i30−1+i30001−i3201−i320−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i320−1−i30−1−i30001+i3201+i320
χ342222-12-1-12-1-1-1-10-20-20001010−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i3201−i301−i3000−1+i320−1+i320−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i3201+i301+i3000−1−i320−1−i320
χ35222-12-12-1-12-1-1-1202000-10-100−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i30−1+i30001−i3201−i3200−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i30−1−i30001+i3201+i3200
χ36222-12-12-1-12-1-1-1-20-200010100−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i301−i3000−1+i320−1+i3200−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i301+i3000−1−i320−1−i3200
χ3722-22-12-1-1-21-111020-2000-1010−1+i3−1+i31−i3−1+i31−i32−1+i31−i321−i321−i3−1+i321−i32−1+i32−1+i320−1+i301−i30001−i320−1+i320−1−i3−1−i31+i3−1−i31+i32−1−i31+i321+i321+i3−1−i321+i32−1−i32−1−i320−1−i301+i30001+i320−1−i320
χ3822-22-12-1-1-21-1110-20200010-10−1+i3−1+i31−i3−1+i31−i32−1+i31−i321−i321−i3−1+i321−i32−1+i32−1+i3201−i30−1+i3000−1+i3201−i320−1−i3−1−i31+i3−1−i31+i32−1−i31+i321+i321+i3−1−i321+i32−1−i32−1−i3201+i30−1−i3000−1−i3201+i320
χ3922-2-12-12-11-2-11120-2000-10100−1+i3−1+i31−i31−i32−1+i31−i32−1+i31−i32−1+i321−i31−i32−1+i32−1+i32−1+i301−i30001−i320−1+i3200−1−i3−1−i31+i31+i32−1−i31+i32−1−i31+i32−1−i321+i31+i32−1−i32−1−i32−1−i301+i30001+i320−1−i3200
χ4022-2-12-12-11-2-111-20200010-100−1+i3−1+i31−i31−i32−1+i31−i32−1+i31−i32−1+i321−i31−i32−1+i32−1+i321−i30−1+i3000−1+i3201−i3200−1−i3−1−i31+i31+i32−1−i31+i32−1−i31+i32−1−i321+i31+i32−1−i32−1−i321+i30−1−i3000−1−i3201+i3200
χ412-2022-2-2200-20000002-200000−1+i31−i30−1+i3−1+i31−i31−i3−1+i3001−i3000000−1+i31−i300000−1−i31+i30−1−i3−1−i31+i31+i3−1−i3001+i3000000−1−i31+i300000
χ422-2022-2-2200-2000000-2200000−1+i31−i30−1+i3−1+i31−i31−i3−1+i3001−i30000001−i3−1+i300000−1−i31+i30−1−i3−1−i31+i31+i3−1−i3001+i30000001+i3−1−i300000
χ43444-2-2-2-21-2-211100000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3200000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3200000000000
χ4444-4-2-2-2-21221-1-100000000000−2+2i3−2+2i32−2i31−i31−i31−i31−i3−1+i32−1+i3−1+i3−1+i321−i321−i3200000000000−2−2i3−2−2i32+2i31+i31+i31+i31+i3−1−i32−1−i3−1−i3−1−i321+i321+i3200000000000
χ454-404-2-42-20020000000000000−2+2i32−2i30−2+2i31−i32−2i3−1+i31−i300−1+i30000000000000−2−2i32+2i30−2−2i31+i32+2i3−1−i31+i300−1−i30000000000000
χ464-40-242-4-20020000000000000−2+2i32−2i301−i3−2+2i3−1+i32−2i31−i300−1+i30000000000000−2−2i32+2i301+i3−2−2i3−1−i32+2i31+i300−1−i30000000000000
χ474-40-2-222100-13-300000000000−2+2i32−2i301−i31−i3−1+i3−1+i3−1+i32001−i32−3+3i323−3i3200000000000−2−2i32+2i301+i31+i3−1−i3−1−i3−1−i32001+i32−3−3i323+3i3200000000000
χ484-40-2-222100-1-3300000000000−2+2i32−2i301−i31−i3−1+i3−1+i3−1+i32001−i323−3i32−3+3i3200000000000−2−2i32+2i301+i31+i3−1−i3−1−i3−1−i32001+i323+3i32−3−3i3200000000000
χ49111111111111111111111111−1−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+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
χ5011111111111111-11-1-1-11-11-1-1−1−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−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+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+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32
χ511111111111111-11-11-1-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+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+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ521111111111111-1-1-1-111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ5311-111111-1-11-1-111-1-11111-1-1-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ5411-111111-1-11-1-11-1-11-1-11-1-111−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ5511-111111-1-11-1-1-111-1-1-1-111-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ5611-111111-1-11-1-1-1-11111-1-111-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ572222-12-1-12-1-1-1-10202000-10-10−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i320−1−i30−1−i30001+i3201+i320−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i320−1+i30−1+i30001−i3201−i320
χ582222-12-1-12-1-1-1-10-20-20001010−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i3201+i301+i3000−1−i320−1−i320−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i3201−i301−i3000−1+i320−1+i320
χ59222-12-12-1-12-1-1-1202000-10-100−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i30−1−i30001+i3201+i3200−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i30−1+i30001−i3201−i3200
χ60222-12-12-1-12-1-1-1-20-200010100−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i301+i3000−1−i320−1−i3200−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i301−i3000−1+i320−1+i3200
χ6122-22-12-1-1-21-111020-2000-1010−1−i3−1−i31+i3−1−i31+i32−1−i31+i321+i321+i3−1−i321+i32−1−i32−1−i320−1−i301+i30001+i320−1−i320−1+i3−1+i31−i3−1+i31−i32−1+i31−i321−i321−i3−1+i321−i32−1+i32−1+i320−1+i301−i30001−i320−1+i320
χ6222-22-12-1-1-21-1110-20200010-10−1−i3−1−i31+i3−1−i31+i32−1−i31+i321+i321+i3−1−i321+i32−1−i32−1−i3201+i30−1−i3000−1−i3201+i320−1+i3−1+i31−i3−1+i31−i32−1+i31−i321−i321−i3−1+i321−i32−1+i32−1+i3201−i30−1+i3000−1+i3201−i320
χ6322-2-12-12-11-2-11120-2000-10100−1−i3−1−i31+i31+i32−1−i31+i32−1−i31+i32−1−i321+i31+i32−1−i32−1−i32−1−i301+i30001+i320−1−i3200−1+i3−1+i31−i31−i32−1+i31−i32−1+i31−i32−1+i321−i31−i32−1+i32−1+i32−1+i301−i30001−i320−1+i3200
χ6422-2-12-12-11-2-111-20200010-100−1−i3−1−i31+i31+i32−1−i31+i32−1−i31+i32−1−i321+i31+i32−1−i32−1−i321+i30−1−i3000−1−i3201+i3200−1+i3−1+i31−i31−i32−1+i31−i32−1+i31−i32−1+i321−i31−i32−1+i32−1+i321−i30−1+i3000−1+i3201−i3200
χ652-2022-2-2200-20000002-200000−1−i31+i30−1−i3−1−i31+i31+i3−1−i3001+i3000000−1−i31+i300000−1+i31−i30−1+i3−1+i31−i31−i3−1+i3001−i3000000−1+i31−i300000
χ662-2022-2-2200-2000000-2200000−1−i31+i30−1−i3−1−i31+i31+i3−1−i3001+i30000001+i3−1−i300000−1+i31−i30−1+i3−1+i31−i31−i3−1+i3001−i30000001−i3−1+i300000
χ67444-2-2-2-21-2-211100000000000−2−2i3−2−2i3−2−2i31+i31+i31+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3200000000000−2+2i3−2+2i3−2+2i31−i31−i31−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3200000000000
χ6844-4-2-2-2-21221-1-100000000000−2−2i3−2−2i32+2i31+i31+i31+i31+i3−1−i32−1−i3−1−i3−1−i321+i321+i3200000000000−2+2i3−2+2i32−2i31−i31−i31−i31−i3−1+i32−1+i3−1+i3−1+i321−i321−i3200000000000
χ694-404-2-42-20020000000000000−2−2i32+2i30−2−2i31+i32+2i3−1−i31+i300−1−i30000000000000−2+2i32−2i30−2+2i31−i32−2i3−1+i31−i300−1+i30000000000000
χ704-40-242-4-20020000000000000−2−2i32+2i301+i3−2−2i3−1−i32+2i31+i300−1−i30000000000000−2+2i32−2i301−i3−2+2i3−1+i32−2i31−i300−1+i30000000000000
χ714-40-2-222100-13-300000000000−2−2i32+2i301+i31+i3−1−i3−1−i3−1−i32001+i32−3−3i323+3i3200000000000−2+2i32−2i301−i31−i3−1+i3−1+i3−1+i32001−i32−3+3i323−3i3200000000000
χ724-40-2-222100-1-3300000000000−2−2i32+2i301+i31+i3−1−i3−1−i3−1−i32001+i323+3i32−3−3i3200000000000−2+2i32−2i301−i31−i3−1+i3−1+i3−1+i32001−i323−3i32−3+3i3200000000000

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