Finite Group Databasebeta

← Group #13181810

Character table — Group #13181810

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size189181818324275454544323672727243236727272189181818324275454544323672727243236727272
order132444262444336121212336121212262444262444666121212666121212
χ1111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ3111-11-1111-11-1111-11-1111-11-1111-11-1111-11-1111-11-1111-11-1
χ4111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11
χ522-200022-200022-200022-200022-200022-200022-200022-2000
χ68-100008-100008-100008-100008-100008-100008-100008-10000
χ7111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ81111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ9111-11-1111-11-1−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32111-11-1111-11-1−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ10111-1-11111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32111-1-11111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ1122-200022-2000−1+i3−1+i31−i3000−1−i3−1−i31+i300022-200022-2000−1+i3−1+i31−i3000−1−i3−1−i31+i3000
χ128-100008-10000−4+4i31−i320000−4−4i31+i3200008-100008-10000−4+4i31−i320000−4−4i31+i320000
χ13111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ141111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ15111-11-1111-11-1−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32111-11-1111-11-1−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ16111-1-11111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32111-1-11111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ1722-200022-2000−1−i3−1−i31+i3000−1+i3−1+i31−i300022-200022-2000−1−i3−1−i31+i3000−1+i3−1+i31−i3000
χ188-100008-10000−4−4i31+i320000−4+4i31−i3200008-100008-10000−4−4i31+i320000−4+4i31−i320000
χ19333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000
χ203333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-111000000000000
χ21333-33-3-1-1-11-11000000000000333-33-3-1-1-11-11000000000000
χ22333-3-33-1-1-111-1000000000000333-3-33-1-1-111-1000000000000
χ2366-6000-2-2200000000000000066-6000-2-22000000000000000
χ2424-30000-81000000000000000024-30000-810000000000000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ261111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ27111-11-1111-11-1111-11-1111-11-1-1-1-11-11-1-1-11-11-1-1-11-11-1-1-11-11
χ28111-1-11111-1-11111-1-11111-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1
χ2922-200022-200022-200022-2000-2-22000-2-22000-2-22000-2-22000
χ308-100008-100008-100008-10000-810000-810000-810000-810000
χ31111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ33111-11-1111-11-1−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32-1-1-11-11-1-1-11-111−i321−i321−i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i32−1−i32
χ34111-1-11111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32-1-1-111-1-1-1-111-11−i321−i321−i32−1+i32−1+i321−i321+i321+i321+i32−1−i32−1−i321+i32
χ3522-200022-2000−1+i3−1+i31−i3000−1−i3−1−i31+i3000-2-22000-2-220001−i31−i3−1+i30001+i31+i3−1−i3000
χ368-100008-10000−4+4i31−i320000−4−4i31+i320000-810000-8100004−4i3−1+i3200004+4i3−1−i320000
χ37111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ381111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ39111-11-1111-11-1−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32-1-1-11-11-1-1-11-111+i321+i321+i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i32−1+i32
χ40111-1-11111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32-1-1-111-1-1-1-111-11+i321+i321+i32−1−i32−1−i321+i321−i321−i321−i32−1+i32−1+i321−i32
χ4122-200022-2000−1−i3−1−i31+i3000−1+i3−1+i31−i3000-2-22000-2-220001+i31+i3−1−i30001−i31−i3−1+i3000
χ428-100008-10000−4−4i31+i320000−4+4i31−i320000-810000-8100004+4i3−1−i3200004−4i3−1+i320000
χ43333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000
χ443333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-1000000000000
χ45333-33-3-1-1-11-11000000000000-3-3-33-33111-11-1000000000000
χ46333-3-33-1-1-111-1000000000000-3-3-333-3111-1-11000000000000
χ4766-6000-2-22000000000000000-6-6600022-2000000000000000
χ4824-30000-810000000000000000-24300008-10000000000000000

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