Finite Group Databasebeta

← Group #11899598

Character table — Group #11899598

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222244444448888881212121224242244444444488888881616161616162424242448483366666666612121212121212242424242424363636367272
order12234468812126812242424242466121216161616443663121262424121262412242424246126612124848484812122226446881212681224242424246612121616161644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ511-11-11111-1-1-1-1111-1-11-111-1-111-1-11-111-11-11111-1-1-1-1111-1-11-111-1-111-1-11-111-11-11111-1-1-1-1111-1-11-111-1-111-1-11-1
χ611-11-11111-1-1-1-1111-1-11-111-1-1-1-111-1111-11-11111-1-1-1-1111-1-11-111-1-1-1-111-1111-11-11111-1-1-1-1111-1-11-111-1-1-1-111-11
χ711-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-1111-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-1111-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-11
χ811-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-111-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-111-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-1
χ92222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-2000000000000
χ102222-2-2200-2-220-200000000002−22−2002222-2-2200-2-220-200000000002−22−2002222-2-2200-2-220-200000000002−22−200
χ112222-2-2200-2-220-20000000000−22−22002222-2-2200-2-220-20000000000−22−22002222-2-2200-2-220-20000000000−22−2200
χ12222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000
χ13222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000
χ14222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000
χ15222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000
χ1622-222-220022-20-200000000002−2−220022-222-220022-20-200000000002−2−220022-222-220022-20-200000000002−2−2200
χ1722-222-220022-20-20000000000−222−20022-222-220022-20-20000000000−222−20022-222-220022-20-20000000000−222−200
χ1822-22-222-2-2-2-2-222-2-22200000000000022-22-222-2-2-2-2-222-2-22200000000000022-22-222-2-2-2-2-222-2-222000000000000
χ1922-2-1-22-122111-2-1-1-1112-2-1-11100000022-2-1-22-122111-2-1-1-1112-2-1-11100000022-2-1-22-122111-2-1-1-1112-2-1-111000000
χ2022-2-1-22-122111-2-1-1-111-2211-1-100000022-2-1-22-122111-2-1-1-111-2211-1-100000022-2-1-22-122111-2-1-1-111-2211-1-1000000
χ2122-2-1-22-1-2-21112-111-1-100−i3i3i3−i300000022-2-1-22-1-2-21112-111-1-100−i3i3i3−i300000022-2-1-22-1-2-21112-111-1-100−i3i3i3−i3000000
χ2222-2-1-22-1-2-21112-111-1-100i3−i3−i3i300000022-2-1-22-1-2-21112-111-1-100i3−i3−i3i300000022-2-1-22-1-2-21112-111-1-100i3−i3−i3i3000000
χ23444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000
χ2444-4-24-4-200-2-2202000000000000000044-4-24-4-200-2-2202000000000000000044-4-24-4-200-2-22020000000000000000
χ254-40400-422−220000022−22000000000000004-40400-422−220000022−22000000000000004-40400-422−220000022−2200000000000000
χ264-40400-4−222200000−2222000000000000004-40400-4−222200000−2222000000000000004-40400-4−222200000−222200000000000000
χ274-40-200222−2223−23000−226−60000000000004-40-200222−2223−23000−226−60000000000004-40-200222−2223−23000−226−6000000000000
χ284-40-200222−22−2323000−22−660000000000004-40-200222−22−2323000−22−660000000000004-40-200222−22−2323000−22−66000000000000
χ294-40-2002−222223−230002−2−660000000000004-40-2002−222223−230002−2−660000000000004-40-2002−222223−230002−2−66000000000000
χ304-40-2002−2222−23230002−26−60000000000004-40-2002−2222−23230002−26−60000000000004-40-2002−2222−23230002−26−6000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ3511-11-11111-1-1-1-1111-1-11-111-1-111-1-11-111-11-11111-1-1-1-1111-1-11-111-1-111-1-11-1-1-11-11-1-1-1-11111-1-1-111-11-1-111-1-111-11
χ3611-11-11111-1-1-1-1111-1-11-111-1-1-1-111-1111-11-11111-1-1-1-1111-1-11-111-1-1-1-111-11-1-11-11-1-1-1-11111-1-1-111-11-1-11111-1-11-1
χ3711-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-1111-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-11-1-11-11-1-1-1-11111-1-1-1111-111-1-1-1-1111-1
χ3811-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-111-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-1-1-11-11-1-1-1-11111-1-1-1111-111-1-111-1-1-11
χ392222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-2000000000000-2-2-2-2-2-2-222-2-2-22-22222000000000000
χ402222-2-2200-2-220-200000000002−22−2002222-2-2200-2-220-200000000002−22−200-2-2-2-222-20022-2020000000000−22−2200
χ412222-2-2200-2-220-20000000000−22−22002222-2-2200-2-220-20000000000−22−2200-2-2-2-222-20022-20200000000002−22−200
χ42222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000-2-2-21-2-21-2-2111-211111-2-21111000000
χ43222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000-2-2-21-2-21-2-2111-21111122-1-1-1-1000000
χ44222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000-2-2-21-2-212211121-1-1-1-100i3−i3i3−i3000000
χ45222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000-2-2-21-2-212211121-1-1-1-100−i3i3−i3i3000000
χ4622-222-220022-20-200000000002−2−220022-222-220022-20-200000000002−2−2200-2-22-2-22-200-2-22020000000000−222−200
χ4722-222-220022-20-20000000000−222−20022-222-220022-20-20000000000−222−200-2-22-2-22-200-2-220200000000002−2−2200
χ4822-22-222-2-2-2-2-222-2-22200000000000022-22-222-2-2-2-2-222-2-222000000000000-2-22-22-2-222222-2-222-2-2000000000000
χ4922-2-1-22-122111-2-1-1-1112-2-1-11100000022-2-1-22-122111-2-1-1-1112-2-1-111000000-2-2212-21-2-2-1-1-12111-1-1-2211-1-1000000
χ5022-2-1-22-122111-2-1-1-111-2211-1-100000022-2-1-22-122111-2-1-1-111-2211-1-1000000-2-2212-21-2-2-1-1-12111-1-12-2-1-111000000
χ5122-2-1-22-1-2-21112-111-1-100−i3i3i3−i300000022-2-1-22-1-2-21112-111-1-100−i3i3i3−i3000000-2-2212-2122-1-1-1-21-1-11100i3−i3−i3i3000000
χ5222-2-1-22-1-2-21112-111-1-100i3−i3−i3i300000022-2-1-22-1-2-21112-111-1-100i3−i3−i3i3000000-2-2212-2122-1-1-1-21-1-11100−i3i3i3−i3000000
χ53444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000-4-4-4244200-2-220-20000000000000000
χ5444-4-24-4-200-2-2202000000000000000044-4-24-4-200-2-22020000000000000000-4-442-4420022-20-20000000000000000
χ554-40400-422−220000022−22000000000000004-40400-422−220000022−2200000000000000-440-4004−222200000−222200000000000000
χ564-40400-4−222200000−2222000000000000004-40400-4−222200000−222200000000000000-440-400422−220000022−2200000000000000
χ574-40-200222−2223−23000−226−60000000000004-40-200222−2223−23000−226−6000000000000-440200-2−2222−23230002−2−66000000000000
χ584-40-200222−22−2323000−22−660000000000004-40-200222−22−2323000−22−66000000000000-440200-2−222223−230002−26−6000000000000
χ594-40-2002−222223−230002−2−660000000000004-40-2002−222223−230002−2−66000000000000-440200-222−22−2323000−226−6000000000000
χ604-40-2002−2222−23230002−26−60000000000004-40-2002−2222−23230002−26−6000000000000-440200-222−2223−23000−22−66000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000
χ63222222222222222222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111000000000000000000000000000000
χ64222222222222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1000000000000000000000000000000
χ6522-22-22222-2-2-2-2222-2-22-222-2-222-2-22-2-1-11-11-1-1-1-11111-1-1-111-11-1-111-1-111-11000000000000000000000000000000
χ6622-22-22222-2-2-2-2222-2-22-222-2-2-2-222-22-1-11-11-1-1-1-11111-1-1-111-11-1-11111-1-11-1000000000000000000000000000000
χ6722-22-22222-2-2-2-2222-2-2-22-2-22222-2-2-22-1-11-11-1-1-1-11111-1-1-1111-111-1-1-1-1111-1000000000000000000000000000000
χ6822-22-22222-2-2-2-2222-2-2-22-2-222-2-2222-2-1-11-11-1-1-1-11111-1-1-1111-111-1-111-1-1-11000000000000000000000000000000
χ694444444-4-4444-44-4-4-4-4000000000000-2-2-2-2-2-2-222-2-2-22-22222000000000000000000000000000000000000000000
χ704444-4-4400-4-440-4000000000022−2222−2200-2-2-2-222-20022-2020000000000−22−2200000000000000000000000000000000
χ714444-4-4400-4-440-40000000000−2222−222200-2-2-2-222-20022-20200000000002−22−200000000000000000000000000000000
χ72444-244-244-2-2-24-2-2-2-2-244-2-2-2-2000000-2-2-21-2-21-2-2111-211111-2-21111000000000000000000000000000000000000
χ73444-244-244-2-2-24-2-2-2-2-2-4-42222000000-2-2-21-2-21-2-2111-21111122-1-1-1-1000000000000000000000000000000000000
χ74444-244-2-4-4-2-2-2-4-2222200−2i32i3−2i32i3000000-2-2-21-2-212211121-1-1-1-100i3−i3i3−i3000000000000000000000000000000000000
χ75444-244-2-4-4-2-2-2-4-22222002i3−2i32i3−2i3000000-2-2-21-2-212211121-1-1-1-100−i3i3−i3i3000000000000000000000000000000000000
χ7644-444-440044-40-4000000000022−22−222200-2-22-2-22-200-2-22020000000000−222−200000000000000000000000000000000
χ7744-444-440044-40-40000000000−222222−2200-2-22-2-22-200-2-220200000000002−2−2200000000000000000000000000000000
χ7844-44-444-4-4-4-4-444-4-444000000000000-2-22-22-2-222222-2-222-2-2000000000000000000000000000000000000000000
χ7944-4-2-44-244222-4-2-2-2224-4-2-222000000-2-2212-21-2-2-1-1-12111-1-1-2211-1-1000000000000000000000000000000000000
χ8044-4-2-44-244222-4-2-2-222-4422-2-2000000-2-2212-21-2-2-1-1-12111-1-12-2-1-111000000000000000000000000000000000000
χ8144-4-2-44-2-4-42224-222-2-200−2i32i32i3−2i3000000-2-2212-2122-1-1-1-21-1-11100i3−i3−i3i3000000000000000000000000000000000000
χ8244-4-2-44-2-4-42224-222-2-2002i3−2i3−2i32i3000000-2-2212-2122-1-1-1-21-1-11100−i3i3i3−i3000000000000000000000000000000000000
χ83888-4-8-8-40044-4040000000000000000-4-4-4244200-2-220-20000000000000000000000000000000000000000000000
χ8488-8-48-8-400-4-44040000000000000000-4-442-4420022-20-20000000000000000000000000000000000000000000000
χ858-80800-842−420000042−4200000000000000-440-4004−222200000−222200000000000000000000000000000000000000000000
χ868-80800-8−424200000−424200000000000000-440-400422−220000022−2200000000000000000000000000000000000000000000
χ878-80-400442−4243−43000−222226−26000000000000-440200-2−2222−23230002−2−66000000000000000000000000000000000000000000
χ888-80-400442−42−4343000−2222−2626000000000000-440200-2−222223−230002−26−6000000000000000000000000000000000000000000
χ898-80-4004−424243−4300022−22−2626000000000000-440200-222−22−2323000−226−6000000000000000000000000000000000000000000
χ908-80-4004−4242−434300022−2226−26000000000000-440200-222−2223−23000−22−66000000000000000000000000000000000000000000

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