Finite Group Databasebeta

← Group #11872536

Character table — Group #11872536

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242244448812121212242424241212121212446681212121212242424441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-1-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1111111-111-1-1-1111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-11-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111-111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111-111-1-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-11111-1-1-11111-111-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11111-1-1-11-1-111-1-11-1-1111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-111-1-1111-111-1-1111-1-11-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-111-11-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-2-2-2000000000000002000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-220000-2-22200000000000000-2000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-2000022-2-2000000000000002000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-220000222200000000000000-2000000-2002000
χ2122222-122-122-1-12-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-12222000000-1-10000-1-1-1-1-120-1-12-10000-1-10000-100
χ2222222-122-122-1-12-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000110000-1-1-1-1-1-2011-210000110000100
χ2322222-122-122-1-12-122-1-1-1-2-2-122-1-2-2-2-200000000-222-1-1-2-2-1-11111112222000000-1-100001-1-111-20-1-1-2-10000110000100
χ2422222-122-122-1-12-122-1-1-1-2-2-122-1-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-2-20000001100001-1-1112011210000-1-10000-100
χ2522222-122-122-1-12-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-2-20000001100001111120-1-1-210000110000-100
χ2622222-122-122-1-12-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-222000000-1-1000011111-20112-10000-1-10000100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-21122-1-111111122-2-2000000110000-111-1-1-20-1-1210000-1-10000100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-21122-1-1111111-2-222000000-1-10000-111-1-12011-2-10000110000-100
χ292222-12222-1-122-1-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-100002222-1-100-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-12222-1-122-1-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10000-2-2-2-2110011112-1-1-1-10-200001111000000000
χ312222-12222-1-122-1-122-1-1-1-2-22-1-1211112222-1-1-1-1-2-1-12211-1-1-2-21111000022-2-2-1-1001111-2-1-1110-20000-1-111000000000
χ322222-12222-1-122-1-122-1-1-1-2-22-1-121111-2-2-2-21111-2-1-12211-1-1-2-211110000-2-2221100-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-12222-1-122-1-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10000-2-222-1-100-1-1-1-1-211110-200001111000000000
χ342222-12222-1-122-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1000022-2-211001111-21111020000-1-1-1-1000000000
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-1211-2-2-1-1-1-1-2-211110000-2-2-2-2-1-1001111211-1-102000011-1-1000000000
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-1-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111000022221100-1-1-1-1211-1-10-20000-1-111000000000
χ372-2-22222-22-2-2-2-2222i−2i-22-200-22-2200002i−2i2i−2i2i2i−2i−2i02i−2i2i−2i00-2200000000002-2002i−2i00000002i−2i000000002-200000000000
χ382-2-22222-22-2-2-2-2222i−2i-22-200-22-220000−2i2i−2i2i−2i−2i2i2i02i−2i2i−2i00-220000000000-2200−2i2i00000002i−2i00000000-2200000000000
χ392-2-22222-22-2-2-2-222−2i2i-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0−2i2i−2i2i00-220000000000-22002i−2i0000000−2i2i00000000-2200000000000
χ402-2-22222-22-2-2-2-222−2i2i-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0−2i2i−2i2i00-2200000000002-200−2i2i0000000−2i2i000000002-200000000000
χ412-2-2222-222-2-2-2-22200-22-2002-22-200002i−2i−2i2i2i2i−2i−2i00000002-20000002-2000000−2i2i00000000000002-20000000002i−2i0000
χ422-2-2222-222-2-2-2-22200-22-2002-22-200002i−2i−2i2i2i2i−2i−2i00000002-2000000-22000000−2i2i0000000000000-22000000000−2i2i0000
χ432-2-2222-222-2-2-2-22200-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-20000002-20000002i−2i00000000000002-2000000000−2i2i0000
χ442-2-2222-222-2-2-2-22200-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-2000000-220000002i−2i0000000000000-220000000002i−2i0000
χ452-2-22-122-2211-2-2-1-12i−2i1-1100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0−ii2i−2i3−31-100−i3−i3i3i300002-200−ii0033−3−30−ii3−3000000-11−i3i3000000000
χ462-2-22-122-2211-2-2-1-12i−2i1-1100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0−ii2i−2i3−31-100−i3−i3i3i30000-2200i−i00−3−3330−ii3−30000001-1i3−i3000000000
χ472-2-22-122-2211-2-2-1-12i−2i1-1100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0−ii2i−2i−331-100i3i3−i3−i300002-200−ii00−3−3330−ii−33000000-11i3−i3000000000
χ482-2-22-122-2211-2-2-1-12i−2i1-1100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0−ii2i−2i−331-100i3i3−i3−i30000-2200i−i0033−3−30−ii−330000001-1−i3i3000000000
χ492-2-22-122-2211-2-2-1-1−2i2i1-1100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0i−i−2i2i−331-100−i3−i3i3i30000-2200−ii0033−3−30i−i−330000001-1i3−i3000000000
χ502-2-22-122-2211-2-2-1-1−2i2i1-1100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0i−i−2i2i−331-100−i3−i3i3i300002-200i−i00−3−3330i−i−33000000-11−i3i3000000000
χ512-2-22-122-2211-2-2-1-1−2i2i1-1100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0i−i−2i2i3−31-100i3i3−i3−i30000-2200−ii00−3−3330i−i3−30000001-1−i3i3000000000
χ522-2-22-122-2211-2-2-1-1−2i2i1-1100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0i−i−2i2i3−31-100i3i3−i3−i300002-200i−i0033−3−30i−i3−3000000-11i3−i3000000000
χ5344444-2-4-4-244-2-24-200-2-2-2002-4-42000000000000000000022000000004-40000002200000000000000-20000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2002-4-4200000000000000000002200000000-44000000-2-20000000000000020000000000000
χ554444-24-4-44-2-244-2-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44400-44-4-44-44004-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-44400-44-4-44-44004-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-20024-42-2-4-200-22222−22000022−2222−2200000000000000000−22−22−22000000000023−2300000000000000000006−60000000
χ6444-4-44-20024-42-2-4-200-22222−22000022−2222−2200000000000000000−22−22−220000000000−23230000000000000000000−660000000
χ6544-4-44-20024-42-2-4-200-222−22220000−2222−2222000000000000000002−22−22−2000000000023−230000000000000000000−660000000
χ6644-4-44-20024-42-2-4-200-222−22220000−2222−2222000000000000000002−22−22−20000000000−232300000000000000000006−60000000
χ6744-4-4-2400-4-22-442-200-22222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ6844-4-4-2400-4-22-442-200-22222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ6944-4-4-2400-4-22-442-200-222−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ7044-4-4-2400-4-22-442-200-222−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ714-44-44400-4-444-4-4400-4-44000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ724-44-44400-4-444-4-4400-4-440000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ734-44-4-2400-42-24-42-20022-2000000i6−i6−i6i6000023−23−232300000000000i6−i6−i6i60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ744-44-4-2400-42-24-42-20022-2000000i6−i6−i6i60000−232323−2300000000000i6−i6−i6i6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ754-44-4-2400-42-24-42-20022-2000000−i6i6i6−i6000023−23−232300000000000−i6i6i6−i6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ764-44-4-2400-42-24-42-20022-2000000−i6i6i6−i60000−232323−2300000000000−i6i6i6−i60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ774-4-444-24-4-2-4-4224-24i−4i2-220024-4-200000000000004i−4i−2i2i002-200000000000000000000000−2i2i000000000000000000000
χ784-4-444-24-4-2-4-4224-2−4i4i2-220024-4-20000000000000−4i4i2i−2i002-2000000000000000000000002i−2i000000000000000000000
χ794-4-444-2-44-2-4-4224-2002-2200-2-4420000000000000000000-220000004-4000000000000000000000-22000000000000000
χ804-4-444-2-44-2-4-4224-2002-2200-2-4420000000000000000000-22000000-440000000000000000000002-2000000000000000
χ814-4-44-24-44422-4-4-2-2002-220042-2-400004i−4i−4i4i−2i−2i2i2i0000000-22000000000000002i−2i000000000000000000000000000000
χ824-4-44-24-44422-4-4-2-2002-220042-2-40000−4i4i4i−4i2i2i−2i−2i0000000-2200000000000000−2i2i000000000000000000000000000000
χ834-4-44-2-24-4-22222-214i−4i-11-1002-22-2−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ844-4-44-2-24-4-22222-214i−4i-11-1002-22-22i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ854-4-44-2-24-4-22222-21−4i4i-11-1002-22-2−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ864-4-44-2-24-4-22222-21−4i4i-11-1002-22-22i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-444-442002-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-4004-444-442002-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-88-4004-88-44-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40044-4-444200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ928-88-8-4-40044-4-444200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000
χ938-8-88-4-4-88-44444-4200-22-200-44-4400000000000000000002-20000000000000000000000000000000000000000000000

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