Finite Group Databasebeta

← Group #11795344

Character table — Group #11795344

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212124488888812121212242424242424242424242424888844
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000002i−2i0000000000002i2i−2i−2i000000
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000−2i2i000000000000−2i−2i2i2i000000
χ112222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ122222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ132222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-11111111122-2-20000-1-1-1-1111100000000000000
χ142222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-111111111-2-22200001111-1-1-1-100000000000000
χ15222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ16222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ17222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-111111111000022-2-200000000-1-1-1-11111000000
χ18222222-122222-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-1111111110000-2-222000000001111-1-1-1-1000000
χ19222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000002i−2i0000000033−3−3−i−iii000000
χ20222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i3000000−2i2i00000000−3−333ii−i−i000000
χ21222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000002i−2i00000000−3−333−i−iii000000
χ22222222-12-2-2-2-2-1-12-122-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i3000000−2i2i0000000033−3−3ii−i−i000000
χ232222-2-2222-2-222222222-2-2-2-22-2-2-2-2222-222-22-2-2000000000022-2-20000000000000000000000000000000022-2-200
χ242222-2-2222-2-222222222-2-2-2-22-2-2-2-2222-222-22-2-2000000000022-2-200000000000000000000000000000000-2-22200
χ252222-2-222-222-22222222-2-2-2-22-2-2-2-222-22-2-22-2220000000000-2-222000000002-2000000-2-222000000000000000000
χ262222-2-222-222-22222222-2-2-2-22-2-2-2-222-22-2-22-2220000000000-2-22200000000-2200000022-2-2000000000000000000
χ272222-2-22-1-222-222-12-1-1-1-2-211-11111-1-1-2211-1-22-1000000−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i32-200000011-1-1−i3−i3i3i300000000000000
χ282222-2-22-1-222-222-12-1-1-1-2-211-11111-1-1-2211-1-22-1000000−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i3-22000000-1-111i3i3−i3−i300000000000000
χ292222-2-22-1-222-222-12-1-1-1-2-211-11111-1-1-2211-1-22-1000000i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i32-200000011-1-1i3i3−i3−i300000000000000
χ302222-2-22-1-222-222-12-1-1-1-2-211-11111-1-1-2211-1-22-1000000i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i3-22000000-1-111−i3−i3i3i300000000000000
χ3122-2-22-22222-2-2-222-2-2-222-22-2-222-2-22-2222-2-2-2-2200000000002-22-200000000002-2000000002-22-200000000000000
χ3222-2-22-22222-2-2-222-2-2-222-22-2-222-2-22-2222-2-2-2-2200000000002-22-20000000000-2200000000-22-2200000000000000
χ3322-2-22-222-2-222-222-2-2-222-22-2-222-2-22-2-2-2-22222-20000000000-22-220000000000000000000000000000000000002i−2i
χ3422-2-22-222-2-222-222-2-2-222-22-2-222-2-22-2-2-2-22222-20000000000-22-22000000000000000000000000000000000000−2i2i
χ3522-2-22-22-122-2-2-22-1-211-12-2-111-1-111-1122-111-2-2-10000003−33−3-11-113−33−33−33−3002-200003−33−3-11-1100000000000000
χ3622-2-22-22-122-2-2-22-1-211-12-2-111-1-111-1122-111-2-2-10000003−33−3-11-113−33−33−33−300-220000−33−331-11-100000000000000
χ3722-2-22-22-122-2-2-22-1-211-12-2-111-1-111-1122-111-2-2-1000000−33−33-11-11−33−33−33−33002-20000−33−33-11-1100000000000000
χ3822-2-22-22-122-2-2-22-1-211-12-2-111-1-111-1122-111-2-2-1000000−33−33-11-11−33−33−33−3300-2200003−33−31-11-100000000000000
χ3922-2-2-22222-22-2-222-2-2-22-22-22-2-2-2222-22-22-22-22-200000000002-2-220000000000002-200000000002-22-20000000000
χ4022-2-2-22222-22-2-222-2-2-22-22-22-2-2-2222-22-22-22-22-200000000002-2-22000000000000-220000000000-22-220000000000
χ4122-2-2-2222-22-22-222-2-2-22-22-22-2-2-2222-2-22-22-22-222i−2i2i−2i2i−2i2i−2i−2i2i-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ4222-2-2-2222-22-22-222-2-2-22-22-22-2-2-2222-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i2i−2i-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ4322-2-2-222-1-22-22-22-1-211-1-221-1111-1-1-11-221-112-2-12i−2i2i−2i2i−2i−iii−i1-1-11−iii−i−iii−i000000003−3−33i3−i3−i3i300000000000000
χ4422-2-2-222-1-22-22-22-1-211-1-221-1111-1-1-11-221-112-2-12i−2i2i−2i2i−2i−iii−i1-1-11−iii−i−iii−i00000000−333−3−i3i3i3−i300000000000000
χ4522-2-2-222-1-22-22-22-1-211-1-221-1111-1-1-11-221-112-2-1−2i2i−2i2i−2i2ii−i−ii1-1-11i−i−iii−i−ii000000003−3−33−i3i3i3−i300000000000000
χ4622-2-2-222-1-22-22-22-1-211-1-221-1111-1-1-11-221-112-2-1−2i2i−2i2i−2i2ii−i−ii1-1-11i−i−iii−i−ii00000000−333−3i3−i3−i3i300000000000000
χ4722-2-2-22-122-22-21-121-2-2-11-1-22111-1-1-11-112-221-1-2003−3−330000-111-13−3−33−333−300002-20000000000-11-113−33−3000000
χ4822-2-2-22-122-22-21-121-2-2-11-1-22111-1-1-11-112-221-1-2003−3−330000-111-13−3−33−333−30000-2200000000001-11-1−33−33000000
χ4922-2-2-22-122-22-21-121-2-2-11-1-22111-1-1-11-112-221-1-200−333−30000-111-1−333−33−3−3300002-20000000000-11-11−33−33000000
χ5022-2-2-22-122-22-21-121-2-2-11-1-22111-1-1-11-112-221-1-200−333−30000-111-1−333−33−3−330000-2200000000001-11-13−33−3000000
χ5122-2-2-22-12-22-221-121-2-2-11-1-22111-1-1-111-1-22-2-1122i−2i−ii−ii2i−2i−2i2i1-1-11−iii−i−iii−i00000000000000003−3−33i3−i3−i3i3000000
χ5222-2-2-22-12-22-221-121-2-2-11-1-22111-1-1-111-1-22-2-1122i−2i−ii−ii2i−2i−2i2i1-1-11−iii−i−iii−i0000000000000000−333−3−i3i3i3−i3000000
χ5322-2-2-22-12-22-221-121-2-2-11-1-22111-1-1-111-1-22-2-112−2i2ii−ii−i−2i2i2i−2i1-1-11i−i−iii−i−ii00000000000000003−3−33−i3i3i3−i3000000
χ5422-2-2-22-12-22-221-121-2-2-11-1-22111-1-1-111-1-22-2-112−2i2ii−ii−i−2i2i2i−2i1-1-11i−i−iii−i−ii0000000000000000−333−3i3−i3−i3i3000000
χ554444444-2-4-4-4-444-24-2-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-420000000000222200000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-4-44-24-4-4444-24-2-2-2-4-422-22222-2-24-4-2-224-420000000000-2-22200000000000000000000000000000000000000
χ614444-4-4-244-4-44-2-24-244-222-4-4-22222-2-2-2244-4-22-40000000000-2-22200000000000000000000000000000000000000
χ624444-4-4-24-444-4-2-24-244-222-4-4-22222-2-22-2-4-442-24000000000022-2-200000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-22-2-22-222000000000011-1-133-3-3-3-333000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-22-2-22-222000000000011-1-1-3-33333-3-3000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-222-22-2-2000000−2i3−2i32i32i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-222-22-2-20000002i32i3−2i3−2i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ6744-4-44-44-2-4-444-44-2-422-24-4-222-2-222-22-4-42-2-244200000000002-22-200000000000000000000000000000000000000
χ6844-4-44-4-2444-4-42-242-4-4-2-224-42-2-222-22-2-24-4-42240000000000-22-2200000000000000000000000000000000000000
χ6944-4-44-4-24-4-4442-242-4-4-2-224-42-2-222-2222-444-2-2-400000000002-22-200000000000000000000000000000000000000
χ7044-4-44-4-2-244-4-42-2-22221-22-22-111-1-11-1-2-2-22222-200000023−2323−231-11-1−33−33−33−33000000000000000000000000000000
χ7144-4-44-4-2-244-4-42-2-22221-22-22-111-1-11-1-2-2-22222-2000000−2323−23231-11-13−33−33−33−3000000000000000000000000000000
χ7244-4-44-4-2-2-4-4442-2-22221-22-22-111-1-11-1222-2-2-2-220000000000-11-113i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ7344-4-44-4-2-2-4-4442-2-22221-22-22-111-1-11-1222-2-2-2-220000000000-11-11−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ7444-4-4-444-24-44-4-44-2-422-2-442-2222-2-2-224-4-22-2-4420000000000-222-200000000000000000000000000000000000000
χ7544-4-4-44-2-24-44-42-2-222212-22-2-1-1-1111-1-22-22-22-220023−23−232300001-1-11−333−33−3−33000000000000000000000000000000
χ7644-4-4-44-2-24-44-42-2-222212-22-2-1-1-1111-1-22-22-22-2200−232323−2300001-1-113−3−33−333−3000000000000000000000000000000
χ7744-4-4-44-2-2-44-442-2-222212-22-2-1-1-1111-12-22-22-22-24i−4i−2i2i−2i2i−2i2i2i−2i-111-1i−i−iii−i−ii000000000000000000000000000000
χ7844-4-4-44-2-2-44-442-2-222212-22-2-1-1-1111-12-22-22-22-2−4i4i2i−2i2i−2i2i−2i−2i2i-111-1−iii−i−iii−i000000000000000000000000000000
χ794-44-400440000-4-4-44-4440000-40000-4400000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-400440000-4-4-44-4440000-40000-44000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-44004400004-4-4-44-44000040000-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ824-4-44004400004-4-4-44-44000040000-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
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).