Finite Group Databasebeta

← Group #11920940

Character table — Group #11920940

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122336666121212121232323232323236363636727211223366661212121212323232323232363636367272
order12362244664121212123336668888242266224466412121212666666888824
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ3222222222222222-1-1-1-1-1-1000000222222222222222-1-1-1-1-1-1000000
χ422-1-12222-1-12-1-1-1-12-1-12-1-100000022-1-12222-1-12-1-1-1-12-1-12-1-1000000
χ522-1-12222-1-12-1-1-1-1-12-1-12-100000022-1-12222-1-12-1-1-1-1-12-1-12-1000000
χ622-1-12222-1-12-1-1-1-1-1-12-1-1200000022-1-12222-1-12-1-1-1-1-1-12-1-12000000
χ72-22-2-22002-200000-1-1-1111−i2−i2i2i2002-22-2-22002-200000-1-1-1111−i2−i2i2i200
χ82-22-2-22002-200000-1-1-1111i2i2−i2−i2002-22-2-22002-200000-1-1-1111i2i2−i2−i200
χ9333333-1-133-1-1-1-1-10000001111-1-1333333-1-133-1-1-1-1-10000001111-1-1
χ10333333-1-133-1-1-1-1-1000000-1-1-1-111333333-1-133-1-1-1-1-1000000-1-1-1-111
χ113333-1-1−1+2i−1−2i-1-1111−1+2i−1−2i000000i−ii−i-113333-1-1−1+2i−1−2i-1-1111−1+2i−1−2i000000i−ii−i-11
χ123333-1-1−1+2i−1−2i-1-1111−1+2i−1−2i000000−ii−ii1-13333-1-1−1+2i−1−2i-1-1111−1+2i−1−2i000000−ii−ii1-1
χ133333-1-1−1−2i−1+2i-1-1111−1−2i−1+2i000000i−ii−i1-13333-1-1−1−2i−1+2i-1-1111−1−2i−1+2i000000i−ii−i1-1
χ143333-1-1−1−2i−1+2i-1-1111−1−2i−1+2i000000−ii−ii-113333-1-1−1−2i−1+2i-1-1111−1−2i−1+2i000000−ii−ii-11
χ154-44-4-44004-400000111-1-1-10000004-44-4-44004-400000111-1-1-1000000
χ164-4-22-4400-220000011-2-1-120000004-4-22-4400-220000011-2-1-12000000
χ174-4-22-4400-22000001-21-12-10000004-4-22-4400-22000001-21-12-1000000
χ184-4-22-4400-2200000-2112-1-10000004-4-22-4400-2200000-2112-1-1000000
χ196666-2-222-2-2-2-2-2220000000000006666-2-222-2-2-2-2-222000000000000
χ2066-3-366-2-2-3-3-2111100000000000066-3-366-2-2-3-3-21111000000000000
χ2166-3-3-2-22211-21+231−23-1-100000000000066-3-3-2-22211-21+231−23-1-1000000000000
χ2266-3-3-2-22211-21−231+23-1-100000000000066-3-3-2-22211-21−231+23-1-1000000000000
χ2366-3-3-2-2−2+4i−2−4i112-1-11−2i1+2i00000000000066-3-3-2-2−2+4i−2−4i112-1-11−2i1+2i000000000000
χ2466-3-3-2-2−2−4i−2+4i112-1-11+2i1−2i00000000000066-3-3-2-2−2−4i−2+4i112-1-11+2i1−2i000000000000
χ256-66-62-200-22000000000002−2−22006-66-62-200-22000000000002−2−2200
χ266-66-62-200-2200000000000−222−2006-66-62-200-2200000000000−222−200
χ2712-12-664-4002-20000000000000000012-12-664-4002-200000000000000000
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ29111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ30222222222222222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111000000
χ3122-1-12222-1-12-1-1-1-12-1-12-1-1000000-2-211-2-2-2-211-21111-211-211000000
χ3222-1-12222-1-12-1-1-1-1-12-1-12-1000000-2-211-2-2-2-211-211111-211-21000000
χ3322-1-12222-1-12-1-1-1-1-1-12-1-12000000-2-211-2-2-2-211-2111111-211-2000000
χ342-22-2-22002-200000-1-1-1111−i2−i2i2i200-22-222-200-2200000111-1-1-1i2i2−i2−i200
χ352-22-2-22002-200000-1-1-1111i2i2−i2−i200-22-222-200-2200000111-1-1-1−i2−i2i2i200
χ36333333-1-133-1-1-1-1-10000001111-1-1-3-3-3-3-3-311-3-311111000000-1-1-1-111
χ37333333-1-133-1-1-1-1-1000000-1-1-1-111-3-3-3-3-3-311-3-3111110000001111-1-1
χ383333-1-1−1+2i−1−2i-1-1111−1+2i−1−2i000000i−ii−i-11-3-3-3-3111−2i1+2i11-1-1-11−2i1+2i000000−ii−ii1-1
χ393333-1-1−1+2i−1−2i-1-1111−1+2i−1−2i000000−ii−ii1-1-3-3-3-3111−2i1+2i11-1-1-11−2i1+2i000000i−ii−i-11
χ403333-1-1−1−2i−1+2i-1-1111−1−2i−1+2i000000i−ii−i1-1-3-3-3-3111+2i1−2i11-1-1-11+2i1−2i000000−ii−ii-11
χ413333-1-1−1−2i−1+2i-1-1111−1−2i−1+2i000000−ii−ii-11-3-3-3-3111+2i1−2i11-1-1-11+2i1−2i000000i−ii−i1-1
χ424-44-4-44004-400000111-1-1-1000000-44-444-400-4400000-1-1-1111000000
χ434-4-22-4400-220000011-2-1-12000000-442-24-4002-200000-1-1211-2000000
χ444-4-22-4400-22000001-21-12-1000000-442-24-4002-200000-12-11-21000000
χ454-4-22-4400-2200000-2112-1-1000000-442-24-4002-2000002-1-1-211000000
χ466666-2-222-2-2-2-2-222000000000000-6-6-6-622-2-222222-2-2000000000000
χ4766-3-366-2-2-3-3-21111000000000000-6-633-6-622332-1-1-1-1000000000000
χ4866-3-3-2-22211-21+231−23-1-1000000000000-6-63322-2-2-1-12−1−23−1+2311000000000000
χ4966-3-3-2-22211-21−231+23-1-1000000000000-6-63322-2-2-1-12−1+23−1−2311000000000000
χ5066-3-3-2-2−2+4i−2−4i112-1-11−2i1+2i000000000000-6-633222−4i2+4i-1-1-211−1+2i−1−2i000000000000
χ5166-3-3-2-2−2−4i−2+4i112-1-11+2i1−2i000000000000-6-633222+4i2−4i-1-1-211−1−2i−1+2i000000000000
χ526-66-62-200-22000000000002−2−2200-66-66-22002-200000000000−222−200
χ536-66-62-200-2200000000000−222−200-66-66-22002-2000000000002−2−2200
χ5412-12-664-4002-200000000000000000-12126-6-4400-2200000000000000000

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