Finite Group Databasebeta

← Group #11866222

Character table — Group #11866222

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424242244121212122661212121212122424242424242244446688121224242424666121224668121212121224242244628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-11111-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1-1-111-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-111-1111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-111111111-1-1-111-1111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-11-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1111111-1-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111-1-111-1-1-11-1-111-1-1-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111-1-1-111-1-11111111-1-1-1-1111-111-1-111-1-111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111-1-11-1-1-1-1111-1-1-1-111-1-11-11
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200-222002200000000000000-200000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-20022200-2-2000000000000002000000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000200-2-2-2002200000000000000-2000000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000-2002-2-200-2-200000000000000200000000-22000
χ2122222-122-12-1-122-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-12220020000-1-10000-1-1-1-1-120-1-12-10000-1-10000-100
χ2222222-122-12-1-122-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1-2-2-200-20000110000-1-1-1-1-1-2011-210000110000100
χ2322222-122-12-1-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-2-222-1-1-1-11111112220020000-1-10000111-1-1-20-1-1-2-10000110000100
χ2422222-122-12-1-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-2-222-1-1-1-1111111-2-2-200-20000110000111-1-12011210000-1-10000-100
χ2522222-122-12-1-122-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-122-200-200001100001111120-1-1-210000110000-100
χ2622222-122-12-1-122-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-220020000-1-1000011111-20112-10000-1-10000100
χ2722222-122-12-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000222-2-211-1-111111122-200-20000110000-1-1-111-20-1-1210000-1-10000100
χ2822222-122-12-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000222-2-211-1-1111111-2-220020000-1-10000-1-1-1112011-2-10000110000-100
χ292222-12222-122-1-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-1000220-1-12200-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-12222-122-1-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1000-2-2011-2-20011112-1-1-1-10-200001111000000000
χ312222-12222-122-1-1-122-1-1-1-2-22-12-111112222-1-1-1-1-211-1-122-1-1-2-21111000220-1-1-2-2001111-211-1-10-20000-1-111000000000
χ322222-12222-122-1-1-122-1-1-1-2-22-12-11111-2-2-2-21111-211-1-122-1-1-2-21111000-2-20112200-1-1-1-1-211-1-102000011-1-1000000000
χ332222-12222-122-1-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-20-1-12200-1-1-1-1-211110-200001111000000000
χ342222-12222-122-1-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-100022011-2-2001111-21111020000-1-1-1-1000000000
χ352222-12222-122-1-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-1-111-2-2-1-1-2-21111000-2-20-1-1-2-20011112-1-11102000011-1-1000000000
χ362222-12222-122-1-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-1-111-2-2-1-1-2-21111000220112200-1-1-1-12-1-1110-20000-1-111000000000
χ3722-2-2222-22-2-2-2-2222i−2i-22-20022-2-200002-22-222-2-20002i−2i2i−2i2-20000000002i−2i02-2000000000002i−2i0000002i−2i00000000000
χ3822-2-2222-22-2-2-2-2222i−2i-22-20022-2-20000-22-22-2-2220002i−2i2i−2i2-2000000000−2i2i0-22000000000002i−2i000000−2i2i00000000000
χ3922-2-2222-22-2-2-2-222−2i2i-22-20022-2-200002-22-222-2-2000−2i2i−2i2i2-2000000000−2i2i02-200000000000−2i2i000000−2i2i00000000000
χ4022-2-2222-22-2-2-2-222−2i2i-22-20022-2-20000-22-22-2-222000−2i2i−2i2i2-20000000002i−2i0-2200000000000−2i2i0000002i−2i00000000000
χ4122-2-222-222-2-2-2-22200-22-200-2-22200002-2-22-2-2220000000-220000002-200002-20000000000000002-2000000002-200000
χ4222-2-222-222-2-2-2-22200-22-200-2-22200002-2-22-2-2220000000-22000000-2200002-2000000000000000-2200000000-2200000
χ4322-2-222-222-2-2-2-22200-22-200-2-2220000-222-222-2-20000000-220000002-20000-220000000000000002-200000000-2200000
χ4422-2-222-222-2-2-2-22200-22-200-2-2220000-222-222-2-20000000-22000000-220000-22000000000000000-22000000002-200000
χ4522-2-2-122-221-2-21-1-12i−2i1-11002-1-2133−3−32-22-2-1-1110−i3i3−ii2i−2i-110033−3−30002i−2i0-11000033−3−30−i3i3−ii000000−ii−i3i3000000000
χ4622-2-2-122-221-2-21-1-12i−2i1-11002-1-2133−3−3-22-2211-1-10−i3i3−ii2i−2i-110033−3−3000−2i2i01-10000−3−3330−i3i3−ii000000i−ii3−i3000000000
χ4722-2-2-122-221-2-21-1-12i−2i1-11002-1-21−3−3332-22-2-1-1110i3−i3−ii2i−2i-1100−3−3330002i−2i0-110000−3−3330i3−i3−ii000000−iii3−i3000000000
χ4822-2-2-122-221-2-21-1-12i−2i1-11002-1-21−3−333-22-2211-1-10i3−i3−ii2i−2i-1100−3−333000−2i2i01-1000033−3−30i3−i3−ii000000i−i−i3i3000000000
χ4922-2-2-122-221-2-21-1-1−2i2i1-11002-1-2133−3−32-22-2-1-1110i3−i3i−i−2i2i-110033−3−3000−2i2i0-11000033−3−30i3−i3i−i000000i−ii3−i3000000000
χ5022-2-2-122-221-2-21-1-1−2i2i1-11002-1-2133−3−3-22-2211-1-10i3−i3i−i−2i2i-110033−3−30002i−2i01-10000−3−3330i3−i3i−i000000−ii−i3i3000000000
χ5122-2-2-122-221-2-21-1-1−2i2i1-11002-1-21−3−3332-22-2-1-1110−i3i3i−i−2i2i-1100−3−333000−2i2i0-110000−3−3330−i3i3i−i000000i−i−i3i3000000000
χ5222-2-2-122-221-2-21-1-1−2i2i1-11002-1-21−3−333-22-2211-1-10−i3i3i−i−2i2i-1100−3−3330002i−2i01-1000033−3−30−i3i3i−i000000−iii3−i3000000000
χ5344444-2-4-4-24-2-244-200-2-2-2002-42-400000000000000000002200000000400-40000-2-20000000000000020000000000000
χ5444444-2-4-4-24-2-244-200-2-2-2002-42-400000000000000000002200000000-400400002200000000000000-20000000000000
χ554444-24-4-44-244-2-2-200-2-2-200-42-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ564444-24-4-44-244-2-2-200-2-2-200-42-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-4-2-422-44-24i−4i2-2200-242-40000000000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000
χ6244-4-44-24-4-2-422-44-2−4i4i2-2200-242-4000000000000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000
χ6344-4-44-2-44-2-422-44-2002-22002-4-2400000000000000000002-20000004-4000000000000000000000-22000000000000000
χ6444-4-44-2-44-2-422-44-2002-22002-4-2400000000000000000002-2000000-440000000000000000000002-2000000000000000
χ6544-4-4-24-4442-4-42-2-2002-2200-424-200004-4-4422-2-200000002-2000000000000-2200000000000000000000000000000000
χ6644-4-4-24-4442-4-42-2-2002-2200-424-20000-444-4-2-22200000002-20000000000002-200000000000000000000000000000000
χ6744-4-4-2-24-4-22222-214i−4i-11-100-2-2222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i3−i3i−i0000000000000000000
χ6844-4-4-2-24-4-22222-214i−4i-11-100-2-222−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000−i3i3i−i0000000000000000000
χ6944-4-4-2-24-4-22222-21−4i4i-11-100-2-2222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−i3i3−ii0000000000000000000
χ7044-4-4-2-24-4-22222-21−4i4i-11-100-2-222−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000i3−i3−ii0000000000000000000
χ714-44-44400-44-44-4-4400-4-4422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ724-44-44400-44-44-4-4400-4-44−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ734-44-44-200242-2-4-4-20022-222−22000022−2222−2200000000000000000−22−22−220000000000−2i32i30000000000000000000i6−i60000000
χ744-44-44-200242-2-4-4-20022-222−22000022−2222−2200000000000000000−22−22−2200000000002i3−2i30000000000000000000−i6i60000000
χ754-44-44-200242-2-4-4-20022-2−22220000−2222−2222000000000000000002−22−22−20000000000−2i32i30000000000000000000−i6i60000000
χ764-44-44-200242-2-4-4-20022-2−22220000−2222−2222000000000000000002−22−22−200000000002i3−2i30000000000000000000i6−i60000000
χ774-44-4-2400-4-2-4422-20022-222−220000−22−22000023−2323−2300000000022−22−22−220000000000006−66−6000000000000000000000000
χ784-44-4-2400-4-2-4422-20022-222−220000−22−220000−2323−232300000000022−22−22−22000000000000−66−66000000000000000000000000
χ794-44-4-2400-4-2-4422-20022-2−222200002−22−2000023−2323−23000000000−22222−22−2000000000000−66−66000000000000000000000000
χ804-44-4-2400-4-2-4422-20022-2−222200002−22−20000−2323−2323000000000−22222−22−20000000000006−66−6000000000000000000000000
χ814-4-444400-4-44-44-44004-4-40000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ824-4-444400-4-44-44-44004-4-400000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ834-4-44-2400-424-4-22-200-2220000006−6−66000023−23−2323000000000006−6−6600000000−2222002−2−22000000000000000000000000
χ844-4-44-2400-424-4-22-200-2220000006−6−660000−232323−23000000000006−6−660000000022−2200−222−2000000000000000000000000
χ854-4-44-2400-424-4-22-200-222000000−666−6000023−23−232300000000000−666−60000000022−2200−222−2000000000000000000000000
χ864-4-44-2400-424-4-22-200-222000000−666−60000−232323−2300000000000−666−600000000−2222002−2−22000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-88-44444-4200-22-20044-4-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-4-4004-44-444200-2-2242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ908-88-8-4-4004-44-444200-2-22−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ918-8-888-4004-8-448-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-442002-2-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-40044-44-442002-2-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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