Finite Group Databasebeta

← Group #11794284

Character table — Group #11794284

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212124444888812121212121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-22-222-2-222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000
χ112222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ122222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ132222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-1111111112-22-20000-1-111-1-11100000000000000
χ142222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-111111111-22-22000011-1-111-1-100000000000000
χ152222222-1-2-2-2-222-12-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i300000000000000
χ162222222-1-2-2-2-222-12-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i300000000000000
χ172222222-1-2-2-2-222-12-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-100000000−i3i3i3−i3−i3i3i3−i300000000000000
χ182222222-1-2-2-2-222-12-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-100000000i3−i3−i3i3i3−i3−i3i300000000000000
χ19222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ20222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ21222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-111111111000022-2-200000000-1-1-1-11111000000
χ22222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-222000000001111-1-1-1-1000000
χ23222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-11111000000000000000033−3−333−3−3000000
χ24222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-111110000000000000000−3−333−3−333000000
χ25222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-1000000000000000033−3−3−3−333000000
χ26222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-10000000000000000−3−33333−3−3000000
χ272222-2-2222-22-22222222-2-2-2-22-2-2-2-2222-222-2-22-2000000000022-2-200000000020-2000000-2-2002200000000000000
χ282222-2-2222-22-22222222-2-2-2-22-2-2-2-2222-222-2-22-2000000000022-2-2000000000-2020000002200-2-200000000000000
χ292222-2-222-22-222222222-2-2-2-22-2-2-2-222-22-2-222-220000000000-2-2220000000020-200000-2-200220000000000000000
χ302222-2-222-22-222222222-2-2-2-22-2-2-2-222-22-2-222-220000000000-2-22200000000-202000002200-2-20000000000000000
χ312222-2-22-12-22-222-12-1-1-1-2-211-11111-1-12-2-1-1112-2000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i3020-20000−i3i311i3−i3-1-100000000000000
χ322222-2-22-12-22-222-12-1-1-1-2-211-11111-1-12-2-1-1112-2000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i30-2020000i3−i3-1-1−i3i31100000000000000
χ332222-2-22-12-22-222-12-1-1-1-2-211-11111-1-12-2-1-1112-2000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i3020-20000i3−i311−i3i3-1-100000000000000
χ342222-2-22-12-22-222-12-1-1-1-2-211-11111-1-12-2-1-1112-2000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i30-2020000−i3i3-1-1i3−i31100000000000000
χ352222-2-22-1-22-2222-12-1-1-1-2-211-11111-1-1-2211-1-1-22000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i320-20000011−i3i3-1-1i3−i300000000000000
χ362222-2-22-1-22-2222-12-1-1-1-2-211-11111-1-1-2211-1-1-22000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-20200000-1-1i3−i311−i3i300000000000000
χ372222-2-22-1-22-2222-12-1-1-1-2-211-11111-1-1-2211-1-1-22000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i320-20000011i3−i3-1-1−i3i300000000000000
χ382222-2-22-1-22-2222-12-1-1-1-2-211-11111-1-1-2211-1-1-22000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-20200000-1-1−i3i311i3−i300000000000000
χ3922-2-22-2222-2-22-222-2-2-222-22-2-222-2-22-22-22-22-2-2200000000002-22-2000000000000002-20000000000002-22-2000000
χ4022-2-22-2222-2-22-222-2-2-222-22-2-222-2-22-22-22-22-2-2200000000002-22-200000000000000-22000000000000-22-22000000
χ4122-2-22-222-222-2-222-2-2-222-22-2-222-2-22-2-22-22-222-20000000000-22-220000000000002-200000000002-22-20000000000
χ4222-2-22-222-222-2-222-2-2-222-22-2-222-2-22-2-22-22-222-20000000000-22-22000000000000-220000000000-22-220000000000
χ4322-2-22-2-122-2-221-121-2-2-1-112-21-1-111-11-112-22-21-1003−33−30000-11-113−33−33−33−30000002-2000000003−3−33-11-11000000
χ4422-2-22-2-122-2-221-121-2-2-1-112-21-1-111-11-112-22-21-1003−33−30000-11-113−33−33−33−3000000-2200000000−333−31-11-1000000
χ4522-2-22-2-122-2-221-121-2-2-1-112-21-1-111-11-112-22-21-100−33−330000-11-11−33−33−33−330000002-200000000−333−3-11-11000000
χ4622-2-22-2-122-2-221-121-2-2-1-112-21-1-111-11-112-22-21-100−33−330000-11-11−33−33−33−33000000-22000000003−3−331-11-1000000
χ4722-2-22-2-12-222-21-121-2-2-1-112-21-1-111-111-1-22-22-11003−3−3300001-11-13−33−3−33−3300002-20000000000-11-11−333−3000000
χ4822-2-22-2-12-222-21-121-2-2-1-112-21-1-111-111-1-22-22-11003−3−3300001-11-13−33−3−33−330000-2200000000001-11-13−3−33000000
χ4922-2-22-2-12-222-21-121-2-2-1-112-21-1-111-111-1-22-22-1100−333−300001-11-1−33−333−33−300002-20000000000-11-113−3−33000000
χ5022-2-22-2-12-222-21-121-2-2-1-112-21-1-111-111-1-22-22-1100−333−300001-11-1−33−333−33−30000-2200000000001-11-1−333−3000000
χ5122-2-2-222222-2-2-222-2-2-22-22-22-2-2-2222-2222-2-22-2-200000000002-2-220000000000000000000000000000000022-2-200
χ5222-2-2-222222-2-2-222-2-2-22-22-22-2-2-2222-2222-2-22-2-200000000002-2-2200000000000000000000000000000000-2-22200
χ5322-2-2-2222-2-222-222-2-2-22-22-22-2-2-2222-2-2-2-222-2220000000000-222-20000000000000000000000000000000000002i−2i
χ5422-2-2-2222-2-222-222-2-2-22-22-22-2-2-2222-2-2-2-222-2220000000000-222-2000000000000000000000000000000000000−2i2i
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-4422-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ594444-4-4-244-44-4-2-24-244-222-4-4-22222-2-2-2244-4-4-220000000000-2-22200000000000000000000000000000000000000
χ604444-4-4-24-44-44-2-24-244-222-4-4-22222-2-22-2-4-4442-2000000000022-2-200000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-2122221-1-1-1-111-22-2-222-22000000−2i32i3−2i32i311-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-2122221-1-1-1-111-22-2-222-220000002i3−2i32i3−2i311-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2122221-1-1-1-1112-222-2-22-2000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2122221-1-1-1-1112-222-2-22-20000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ6544-4-44-44-24-4-44-44-2-422-24-4-222-2-222-224-4-22-22-440000000000-22-2200000000000000000000000000000000000000
χ6644-4-44-44-2-444-4-44-2-422-24-4-222-2-222-22-442-22-24-400000000002-22-200000000000000000000000000000000000000
χ6744-4-44-4-2-24-4-442-2-22221-22-22-111-1-11-1-22-22-222-20023−2323−2300001-11-1−33−33−33−33000000000000000000000000000000
χ6844-4-44-4-2-24-4-442-2-22221-22-22-111-1-11-1-22-22-222-200−2323−232300001-11-13−33−33−33−3000000000000000000000000000000
χ6944-4-44-4-2-2-444-42-2-22221-22-22-111-1-11-12-22-22-2-220023−23−23230000-11-11−33−333−33−3000000000000000000000000000000
χ7044-4-44-4-2-2-444-42-2-22221-22-22-111-1-11-12-22-22-2-2200−232323−230000-11-113−33−3−33−33000000000000000000000000000000
χ7144-4-4-444-244-4-4-44-2-422-2-442-2222-2-2-2244-222-2-4-40000000000-222-200000000000000000000000000000000000000
χ7244-4-4-444-2-4-444-44-2-422-2-442-2222-2-2-22-4-42-2-224400000000002-2-2200000000000000000000000000000000000000
χ7344-4-4-44-2444-4-42-242-4-4-22-2-44222-2-2-22-2-24-4-44220000000000-222-200000000000000000000000000000000000000
χ7444-4-4-44-24-4-4442-242-4-4-22-2-44222-2-2-2222-444-4-2-200000000002-2-2200000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-42-2-222212-22-2-1-1-1111-1-2-2-222-22200000000001-1-113i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ7644-4-4-44-2-244-4-42-2-222212-22-2-1-1-1111-1-2-2-222-22200000000001-1-11−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ7744-4-4-44-2-2-4-4442-2-222212-22-2-1-1-1111-1222-2-22-2-20000000000-111-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7844-4-4-44-2-2-4-4442-2-222212-22-2-1-1-1111-1222-2-22-2-20000000000-111-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ794-44-400440000-4-4-44-4440000-40000-440000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ804-44-400440000-4-4-44-4440000-40000-44000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ814-4-44004400004-4-4-44-44000040000-4-40000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ824-4-44004400004-4-4-44-44000040000-4-4000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ838-88-8008-40000-8-8484-4-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ848-88-800-48000044-8-4-88-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-40000444-44-420000-26-66-6-22000000000000000000000000000000000000000000000000000000000000
χ868-88-800-4-40000444-44-420000-2-66-66-22000000000000000000000000000000000000000000000000000000000000
χ878-8-88008-400008-84-8-44-40000-4000044000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-480000-44-848-8-40000-4000044000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-40000-4444-442000026-6-66-2-2000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-40000-4444-44200002-666-6-2-2000000000000000000000000000000000000000000000000000000000000

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