Finite Group Databasebeta

← Group #11922335

Character table — Group #11922335

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11222222244666688881212121212121616161616161616161624242424242424242424242436364848484872727272
order12234461212612224436664466121236661212121212124488121212122424242422121212122488
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-11-11111-1-1-11-111-1-111-1-111-11-1-111-111-1-11-11-111-1-111-1-11-111-1-11-11-1
χ611-11-11111-1-1-11-111-1-111-1-111-11-1-111-111-1-1-11-11-1-111-1-1111-111-1-1-11-11
χ711-11-11111-1-1-11-111-1-11-11-111-11-1-111-111-1-11-11-111-1-111-1-1-11-1-111-11-11
χ811-11-11111-1-1-11-111-1-11-11-111-11-1-111-111-1-1-11-11-1-111-1-111-11-1-1111-11-1
χ9222222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ10222222222222222-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ112222-2-22-2-22-2-2-222222200-2-2222222-2-2-2-2-2-20000000000000000000000
χ122222-2-22-2-22-2-2-222-1-1-1-100-2-222-1-1-1-111111100000000000000−i3i3−i3i30000
χ132222-2-22-2-22-2-2-222-1-1-1-100-2-222-1-1-1-111111100000000000000i3−i3i3−i30000
χ14222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ15222-122-1-1-1-1-12222222200-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000000
χ16222-1-2-2-111-11-2-22222220011-1-1-1-1-1-1-2-2111100003−33−33−33−30000000000
χ17222-1-2-2-111-11-2-22222220011-1-1-1-1-1-1-2-211110000−33−33−33−330000000000
χ1822-222-22-2-2-222-2-222-2-22002-22-22-2-22-22-2-2220000000000000000000000
χ1922-222-22-2-2-222-2-22-111-1002-22-2-111-11-111-1-100000000000000−i3i3i3−i30000
χ2022-222-22-2-2-222-2-22-111-1002-22-2-111-11-111-1-100000000000000i3−i3−i3i30000
χ2122-22-22222-2-2-22-22-111-12-2-222-2-111-1-11-1-1110000000000002-2-1-1110000
χ2222-22-22222-2-2-22-22-111-1-22-222-2-111-1-11-1-111000000000000-2211-1-10000
χ2322-2-12-2-1111-12-2-222-2-2200-11-11-111-1-2211-1-100003−3−333−3−330000000000
χ2422-2-12-2-1111-12-2-222-2-2200-11-11-111-1-2211-1-10000−333−3−333−30000000000
χ2522-2-1-22-1-1-111-22-222-2-22001-1-11-111-12-2-1-1112-22-2-1-111-1-1110000000000
χ2622-2-1-22-1-1-111-22-222-2-22001-1-11-111-12-2-1-111-22-2211-1-111-1-10000000000
χ2733333333333-1-1-1-1000033-1-1-1-1000000000011-1-11111-1-1-1-1-1-10000-1-111
χ2833333333333-1-1-1-1000033-1-1-1-10000000000-1-111-1-1-1-11111-1-1000011-1-1
χ2933333333333-1-1-1-10000-3-3-1-1-1-1000000000011-1-11111-1-1-1-111000011-1-1
χ3033333333333-1-1-1-10000-3-3-1-1-1-10000000000-1-111-1-1-1-11111110000-1-111
χ3133-33-33333-3-31-11-100003-31-1-1100000000001-1-1111-1-1-1-111-110000-111-1
χ3233-33-33333-3-31-11-100003-31-1-110000000000-111-1-1-11111-1-1-1100001-1-11
χ3333-33-33333-3-31-11-10000-331-1-1100000000001-1-1111-1-1-1-1111-100001-1-11
χ3433-33-33333-3-31-11-10000-331-1-110000000000-111-1-1-11111-1-11-10000-111-1
χ35444-244-2-2-2-2-24444-2-2-2-200-2-2-2-21111-2-211110000000000000000000000
χ36444-2-4-4-222-22-4-444-2-2-2-20022-2-2111122-1-1-1-10000000000000000000000
χ3744-4-24-4-2222-24-4-44-222-200-22-221-1-112-2-1-1110000000000000000000000
χ3844-4-2-44-2-2-222-44-44-222-2002-2-221-1-11-2211-1-10000000000000000000000
χ396666-6-66-6-66-622-2-200000022-2-200000000000000000000000000000000
χ40666-366-3-3-3-3-3-2-2-2-20000001111000000000022-2-2-1-1-1-111110000000000
χ41666-366-3-3-3-3-3-2-2-2-200000011110000000000-2-2221111-1-1-1-10000000000
χ42666-3-6-6-333-3322-2-2000000-1-111000000000000003−33−3−33−330000000000
χ43666-3-6-6-333-3322-2-2000000-1-11100000000000000−33−333−33−30000000000
χ4466-666-66-6-6-66-222-2000000-22-2200000000000000000000000000000000
χ4566-6-36-6-3333-3-222-20000001-11-1000000000000003−3−33−333−30000000000
χ4666-6-36-6-3333-3-222-20000001-11-100000000000000−333−33−3−330000000000
χ4766-6-3-66-3-3-3332-22-2000000-111-100000000002-2-22-1-11111-1-10000000000
χ4866-6-3-66-3-3-3332-22-2000000-111-10000000000-222-211-1-1-1-1110000000000
χ498-80800-8000000002−2i32i3-20000002−2i32i3-20000000000000000000000000000
χ508-80800-80000000022i3−2i3-200000022i3−2i3-20000000000000000000000000000
χ518-80800-800000000-4004000000-40040000000000000000000000000000
χ528-80-400443−430000002−2i32i3-2000000-1i3−i31003−33i−3i0000000000000000000000
χ538-80-400443−4300000022i3−2i3-2000000-1−i3i31003−3−3i3i0000000000000000000000
χ548-80-400443−43000000-4004000000200-200−2323000000000000000000000000
χ558-80-4004−43430000002−2i32i3-2000000-1i3−i3100−33−3i3i0000000000000000000000
χ568-80-4004−434300000022i3−2i3-2000000-1−i3i3100−333i−3i0000000000000000000000
χ578-80-4004−4343000000-4004000000200-20023−23000000000000000000000000

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