Finite Group Databasebeta

← Group #72220529

Character table — Group #72220529

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size123366666688891212181818181824242424242424242424242424363654547272969696969696162162216216216216
order132236666633323366666333366666666666246633333324661212
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1
χ311111111111111−1+i32−1−i321111111−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ411111111111111−1+i32−1−i321111111−1+i32−1−i32111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ511111111111111−1−i32−1+i321111111−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ611111111111111−1−i32−1+i321111111−1−i32−1+i32111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ72222222222-1-1-122222222-1-122-1-1-1-1-1-1-1-1-1220022-1-1-1-1-1-1000000
χ82222222222-1-1-12−1+i3−1−i322222-1-1−1+i3−1−i3-1-1-1-1-1-1-1-1-1−1+i3−1−i300−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ92222222222-1-1-12−1−i3−1+i322222-1-1−1−i3−1+i3-1-1-1-1-1-1-1-1-1−1−i3−1+i300−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ102222-122-1-1-12222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12200-1-12-1-12-1-1000000
χ112222-122-1-1-12222−1+i3−1−i32-1-1-1-1-1-11−i321+i32222-1-1-1-1-1-1−1+i3−1−i3001−i321+i32−1+i31−i321−i32−1−i31+i321+i32000000
χ122222-122-1-1-12222−1−i3−1+i32-1-1-1-1-1-11+i321−i32222-1-1-1-1-1-1−1−i3−1+i3001+i321−i32−1−i31+i321+i32−1+i31−i321−i32000000
χ132222-122-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1222-1-1-12200-1-1-12-1-12-1000000
χ142222-122-1-1-1-1-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-12222200-1-1-1-12-1-12000000
χ152222-122-1-1-1-1-1-12−1+i3−1−i32-1-1-1-12-11−i321+i32-1-1-1222-1-1-1−1+i3−1−i3001−i321+i321−i32−1+i31−i321+i32−1−i31+i32000000
χ162222-122-1-1-1-1-1-12−1+i3−1−i32-1-1-1-1-121−i321+i32-1-1-1-1-1-1222−1+i3−1−i3001−i321+i321−i321−i32−1+i31+i321+i32−1−i3000000
χ172222-122-1-1-1-1-1-12−1−i3−1+i32-1-1-1-12-11+i321−i32-1-1-1222-1-1-1−1−i3−1+i3001+i321−i321+i32−1−i31+i321−i32−1+i31−i32000000
χ182222-122-1-1-1-1-1-12−1−i3−1+i32-1-1-1-1-121+i321−i32-1-1-1-1-1-1222−1−i3−1+i3001+i321−i321+i321+i32−1−i31−i321−i32−1+i3000000
χ19333-133-1333000-133-1-1-1-1-10033000000000-1-11-1-1-10000001-111-1-1
χ20333-133-1333000-133-1-1-1-1-10033000000000-1-1-11-1-1000000-11-1-111
χ21333-133-1333000-1−3+3i32−3−3i32-1-1-1-1-100−3+3i32−3−3i320000000001−i321+i321-11−i321+i320000001-1−1+i32−1−i321−i321+i32
χ22333-133-1333000-1−3+3i32−3−3i32-1-1-1-1-100−3+3i32−3−3i320000000001−i321+i32-111−i321+i32000000-111−i321+i32−1+i32−1−i32
χ23333-133-1333000-1−3−3i32−3+3i32-1-1-1-1-100−3−3i32−3+3i320000000001+i321−i321-11+i321−i320000001-1−1−i32−1+i321+i321−i32
χ24333-133-1333000-1−3−3i32−3+3i32-1-1-1-1-100−3−3i32−3+3i320000000001+i321−i32-111+i321−i32000000-111+i321−i32−1−i32−1+i32
χ2533-133-13-1-1-1333-100-13-1-1-13300-1-1-1-1-1-1-1-1-1003300000000-1-10000
χ2633-133-13-1-1-1333-100-13-1-1-13300-1-1-1-1-1-1-1-1-100-3-300000000110000
χ27666-2-36-2-3-3-3000-266-2111100-3-3000000000-2-20011000000000000
χ28666-2-36-2-3-3-3000-2−3+3i3−3−3i3-21111003−3i323+3i320000000001−i31+i300−1+i32−1−i32000000000000
χ29666-2-36-2-3-3-3000-2−3−3i3−3+3i3-21111003+3i323−3i320000000001+i31−i300−1−i32−1+i32000000000000
χ3066-266-26-2-2-2-3-3-3-200-26-2-2-2-3-300111111111000000000000000000
χ3166-26-3-26111666-200-2-3111-3-300-2-2-2111111000000000000000000
χ3266-26-3-26111-3-3-3-200-2-31116-300111-2-2-2111000000000000000000
χ3366-26-3-26111-3-3-3-200-2-3111-3600111111-2-2-2000000000000000000
χ346-3660-3-30006-3-3600-3000000006-3-3000000000000000000000000
χ356-3660-3-3000-36-3600-300000000-36-3000000000000000000000000
χ366-3660-3-3000-3-36600-300000000-3-36000000000000000000000000
χ376-3-2601-34-2-26-3-3-200104-2-20000-2114-2-24-2-2000000000000000000
χ386-3-2601-34-2-2-36-3-200104-2-200001-21-24-2-24-2000000000000000000
χ396-3-2601-34-2-2-3-36-200104-2-2000011-2-2-24-2-24000000000000000000
χ406-3-2601-3-24-26-3-3-20010-24-20000-211-24-2-2-24000000000000000000
χ416-3-2601-3-24-2-36-3-20010-24-200001-21-2-244-2-2000000000000000000
χ426-3-2601-3-24-2-3-36-20010-24-2000011-24-2-2-24-2000000000000000000
χ436-3-2601-3-2-246-3-3-20010-2-240000-211-2-24-24-2000000000000000000
χ446-3-2601-3-2-24-36-3-20010-2-2400001-214-2-2-2-24000000000000000000
χ456-3-2601-3-2-24-3-36-20010-2-24000011-2-24-24-2-2000000000000000000
χ4699-3-39-3-3-3-3-30001001-31110000000000000003-300000000-110000
χ4799-3-39-3-3-3-3-30001001-3111000000000000000-33000000001-10000
χ481818-6-6-9-6-633300020023-1-1-10000000000000000000000000000000
χ4918-918-60-93000000-600300000000000000000000000000000000000
χ5018-9-6-603312-6-6000200-10-4220000000000000000000000000000000
χ5118-9-6-6033-612-6000200-102-420000000000000000000000000000000
χ5218-9-6-6033-6-612000200-1022-40000000000000000000000000000000

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