Finite Group Databasebeta

← Group #11724518

Character table — Group #11724518

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size124444449182727124444449182727248888881836545424888888183654542488888818365454
order133333332644266666662644412121212121212412444121212121212124124441212121212121241244
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-1
χ311111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i
χ411111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii
χ52-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100
χ62-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100
χ7441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000
χ844-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-2110000
χ94-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000
χ104-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000
χ114-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000
χ124-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ1511111111-1-1i−i11111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii
χ1611111111-1-1−ii11111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i
χ172-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-2100
χ182-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-100
χ19441-211-2-20000441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000
χ2044-21-2-211000044-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-10000
χ214-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000
χ224-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000
χ234-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000
χ244-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ261111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ2711111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii
χ2811111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i
χ292-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-2100
χ302-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-100
χ31441-211-2-20000441-211-2-20000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000
χ3244-21-2-211000044-21-2-2110000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-10000
χ334-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000
χ344-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000
χ354-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000
χ364-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ381111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ3911111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i
χ4011111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii
χ412-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100
χ422-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100
χ43441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000
χ4444-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000
χ454-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000
χ464-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000
χ474-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000
χ484-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000
χ49222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ502222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000
χ5122222222-2-22i−2i-2-2-2-2-2-2-2-222−2i2i000000000000000000000000000000000000
χ5222222222-2-2−2i2i-2-2-2-2-2-2-2-2222i−2i000000000000000000000000000000000000
χ534-244-2-2-2-24-200-42-4-42222-4200000000000000000000000000000000000000
χ544-244-2-2-2-2-4200-42-4-422224-200000000000000000000000000000000000000
χ55882-422-4-40000-8-8-24-2-2440000000000000000000000000000000000000000
χ5688-42-4-4220000-8-84-244-2-20000000000000000000000000000000000000000
χ578-42-4−1−3i3−1+3i3220000-84-241+3i31−3i3-2-20000000000000000000000000000000000000000
χ588-42-4−1+3i3−1−3i3220000-84-241−3i31+3i3-2-20000000000000000000000000000000000000000
χ598-4-4222−1−3i3−1+3i30000-844-2-2-21+3i31−3i30000000000000000000000000000000000000000
χ608-4-4222−1+3i3−1−3i30000-844-2-2-21−3i31+3i30000000000000000000000000000000000000000

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