Finite Group Databasebeta

← Group #6284

Character table — Group #6284

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size112222446666661811222244666666181122224466666618
order12336636226666436336636666666123633663666666612
χ1111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30
χ112-22-1-21-110000−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−i3000
χ132-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
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−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+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+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−i32
χ20222-12-1-1-10200-1-10−1+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
χ21222-12-1-1-10-200110−1+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
χ2222-12-12-1-120-1-1000−1+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
χ2322-12-12-1-1-2011000−1+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
χ242-222-2-22-20000000−1+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−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−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−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−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
χ2944-2-2-2-2110000000−2+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+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+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−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−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+i32
χ35222-12-1-1-10200-1-10−1−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
χ36222-12-1-1-10-200110−1−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
χ3722-12-12-1-120-1-1000−1−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
χ3822-12-12-1-1-2011000−1−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
χ392-222-2-22-20000000−1−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−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−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−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−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
χ4444-2-2-2-2110000000−2−2i3−2−2i31+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−i320000000

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