Finite Group Databasebeta

← Group #72224521

Character table — Group #72224521

Order 3888.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1288888888888816161616161616161636363672727272727272727272727281162162324486486972
order1333333333333333333333326666666666666624612884
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ5222222222222222222222220000000000000002-22-2000
χ622222222222222222222222000000000000000-20-20−i2i20
χ722222222222222222222222000000000000000-20-20i2−i20
χ82-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10−i3i30000−i3−i3−i3−i3i3i3i3i32-2-11000
χ92-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10i3−i30000i3i3i3i3−i3−i3−i3−i32-2-11000
χ102-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1000
χ112-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-211-2-2-2-21111111122-1-1000
χ124-24444-2-2-2-2-2-2-2-2444-2-2-2-2-2-2000000000000000-4020000
χ138825-1-12255-1-1-1-12-4-122-4-4-1-12222-1-1-12-1-1-12-1-1-10000000
χ148825-1-12255-1-1-1-12-4-122-4-4-1-1-2-2-2-2111-2111-21110000000
χ158852-1-15522-1-1-1-1-42-1-4-422-1-1222-12-1-1-12-1-1-12-1-10000000
χ168852-1-15522-1-1-1-1-42-1-4-422-1-1-2-2-21-2111-2111-2110000000
χ1788-1-18-1-1-1-1-188-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-12-1-1-12-10000000
χ1888-1-18-1-1-1-1-188-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2111-2111-210000000
χ1988-1-1-18-1-1-1-1-1-188-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-120000000
χ2088-1-1-18-1-1-1-1-1-188-1-1-1-1-1-1-1-1-1-2-2-2111-2111-2111-20000000
χ218-425-1-1−1−3i3−1+3i3−5+3i32−5−3i321−3i321+3i321−3i321+3i322-4-1-1-1221−3i321+3i322−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000000
χ228-425-1-1−1−3i3−1+3i3−5+3i32−5−3i321−3i321+3i321−3i321+3i322-4-1-1-1221−3i321+3i32-21+i31−i3-21111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i320000000
χ238-425-1-1−1+3i3−1−3i3−5−3i32−5+3i321+3i321−3i321+3i321−3i322-4-1-1-1221+3i321−3i322−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000000
χ248-425-1-1−1+3i3−1−3i3−5−3i32−5+3i321+3i321−3i321+3i321−3i322-4-1-1-1221+3i321−3i32-21−i31+i3-21111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000000
χ258-452-1-1−5+3i32−5−3i32−1−3i3−1+3i31−3i321+3i321−3i321+3i32-42-122-1-11−3i321+3i322−1−i3−1+i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i320000000
χ268-452-1-1−5+3i32−5−3i32−1−3i3−1+3i31−3i321+3i321−3i321+3i32-42-122-1-11−3i321+3i32-21+i31−i31-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000000
χ278-452-1-1−5−3i32−5+3i32−1+3i3−1−3i31+3i321−3i321+3i321−3i32-42-122-1-11+3i321−3i322−1+i3−1−i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i320000000
χ288-452-1-1−5−3i32−5+3i32−1+3i3−1−3i31+3i321−3i321+3i321−3i32-42-122-1-11+3i321−3i32-21−i31+i31-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i320000000
χ298-4-1-18-11−3i321+3i321−3i321+3i32-4-41−3i321+3i32-1-1-11−3i321+3i321−3i321+3i321+3i321−3i322−1−i3−1+i3-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i320000000
χ308-4-1-18-11−3i321+3i321−3i321+3i32-4-41−3i321+3i32-1-1-11−3i321+3i321−3i321+3i321+3i321−3i32-21+i31−i311-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i320000000
χ318-4-1-18-11+3i321−3i321+3i321−3i32-4-41+3i321−3i32-1-1-11+3i321−3i321+3i321−3i321−3i321+3i322−1+i3−1−i3-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i320000000
χ328-4-1-18-11+3i321−3i321+3i321−3i32-4-41+3i321−3i32-1-1-11+3i321−3i321+3i321−3i321−3i321+3i32-21−i31+i311-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i320000000
χ338-4-1-1-181−3i321+3i321−3i321+3i321−3i321+3i32-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i322−1−i3−1+i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i30000000
χ348-4-1-1-181−3i321+3i321−3i321+3i321−3i321+3i32-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32-21+i31−i3111-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i30000000
χ358-4-1-1-181+3i321−3i321+3i321−3i321+3i321−3i32-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i322−1+i3−1−i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i30000000
χ368-4-1-1-181+3i321−3i321+3i321−3i321+3i321−3i32-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32-21−i31+i3111-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i30000000
χ3716164-8-2-244-8-8-2-2-2-241-24411-2-20000000000000000000000
χ381616-84-2-2-8-844-2-2-2-214-21144-2-20000000000000000000000
χ391616-2-2-2-2-2-2-2-2-2-2-2-2-2-27-2-2-2-2770000000000000000000000
χ4016-84-8-2-2-2-2441−3i31+3i31+3i31−3i341-2−2−3i3−2+3i3−1+3i32−1−3i32110000000000000000000000
χ4116-84-8-2-2-2-2441+3i31−3i31−3i31+3i341-2−2+3i3−2−3i3−1−3i32−1+3i32110000000000000000000000
χ4216-8-84-2-244-2-21−3i31+3i31+3i31−3i314-2−1+3i32−1−3i32−2−3i3−2+3i3110000000000000000000000
χ4316-8-84-2-244-2-21+3i31−3i31−3i31+3i314-2−1−3i32−1+3i32−2+3i3−2−3i3110000000000000000000000
χ4416-8-2-2-2-21−3i31+3i31−3i31+3i31+3i31−3i31+3i31−3i3-2-271111−7−3i32−7+3i320000000000000000000000
χ4516-8-2-2-2-21+3i31−3i31+3i31−3i31−3i31+3i31−3i31+3i3-2-271111−7+3i32−7−3i320000000000000000000000

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