Finite Group Databasebeta

← Group #11872455

Character table — Group #11872455

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666662236668812121212242424244444121212124666612121212242424242424244444881212121224242424661212124468121212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111111-1111-1-1-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-11-1-1-11111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111111111-1-1-11-11-111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1111-1-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-1-1-1-111-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-11111-1-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-1111-111-1-1-111-1-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-11-1-111111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000002-200000022-2-2000000000002000000000-2200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-22000000222200000000000-20000000002-200000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-20000002-2000000-2-2-2-20000000000020000000002-200000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-2000000-22000000-2-22200000000000-2000000000-2200000
χ2122222-122-1-1222-122-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-12222000000-1-10000-1-1-1-1-102-120000-1-1-1-10000-100
χ2222222-122-1-1222-122-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000110000-1-1-1-1-10-21-2000011110000100
χ2322222-122-1-1222-122-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-11111112222000000-1-10000-1-11110-2-1-20000-1-1110000100
χ2422222-122-1-1222-122-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-2-2000000110000-1-11110212000011-1-10000-100
χ2522222-122-1-1222-1-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-2-2000000-1-10000111110-2-12000011-1-10000100
χ2622222-122-1-1222-1-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-22200000011000011111021-20000-1-1110000-100
χ2722222-122-1-1222-1-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-111111122-2-2000000-1-1000011-1-1-102-1-2000011110000-100
χ2822222-122-1-1222-1-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-1111111-2-22200000011000011-1-1-10-2120000-1-1-1-10000100
χ292222-122222-1-1-1222-1-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-100002222-1-100-1-1-1-1-1-12-1-12000-1-1-1-100000000000
χ302222-122222-1-1-1222-1-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10000-2-2-2-211001111-1-12-1-1-2000111100000000000
χ312222-122222-1-1-1222-1-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-12211-1-1-2-21111000022-2-2-1-1001111-1-1-211-200011-1-100000000000
χ322222-122222-1-1-1222-1-1-1-1-2-2-12-121111-2-2-2-21111-2-1-12211-1-1-2-211110000-2-2221100-1-1-1-1-1-1-2112000-1-11100000000000
χ332222-122222-1-1-12-2-2-1-1-1-122-12-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10000-2-222-1-100-1-1-1-111-211-2000111100000000000
χ342222-122222-1-1-12-2-2-1-1-1-122-12-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1000022-2-21100111111-2112000-1-1-1-100000000000
χ352222-122222-1-1-12-2-2-1-1-1-1-2-2-12-1211112222-1-1-1-1211-2-2-1-1-1-1-2-211110000-2-2-2-2-1-1001111112-1-12000-1-11100000000000
χ362222-122222-1-1-12-2-2-1-1-1-1-2-2-12-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111000022221100-1-1-1-1112-1-1-200011-1-100000000000
χ372-22-2222-2-2-2-22-222-22-22-200-2-22200002i−2i2i−2i2i2i−2i−2i02-22-2002-200000000002i−2i002i−2i0000002-20000000002i−2i00000000000
χ382-22-2222-2-2-2-22-222-22-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i02-22-2002-20000000000−2i2i00−2i2i0000002-2000000000−2i2i00000000000
χ392-22-2222-2-2-2-22-22-222-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0-22-22002-20000000000−2i2i002i−2i000000-22000000000−2i2i00000000000
χ402-22-2222-2-2-2-22-22-222-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0-22-22002-200000000002i−2i00−2i2i000000-220000000002i−2i00000000000
χ412-22-222-22-2-2-22-22002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-22000000002-200002i−2i00000000000000000002-200002i−2i000
χ422-22-222-22-2-2-22-22002-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-2200000000-2200002i−2i0000000000000000000-220000−2i2i000
χ432-22-222-22-2-2-22-22002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-22000000002-20000−2i2i00000000000000000002-20000−2i2i000
χ442-22-222-22-2-2-22-22002-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-2200000000-220000−2i2i0000000000000000000-2200002i−2i000
χ452-22-2-122-2-2-21-1122-2-11-11001-2-1233−3−32i−2i2i−2i−i−iii0-112-23−3-110033−3−300002i−2i00−ii00−i3−i3i3i3-1103−30000−i3i3−ii00000000000
χ462-22-2-122-2-2-21-1122-2-11-11001-2-1233−3−3−2i2i−2i2iii−i−i0-112-23−3-110033−3−30000−2i2i00i−i00i3i3−i3−i3-1103−30000i3−i3i−i00000000000
χ472-22-2-122-2-2-21-1122-2-11-11001-2-12−3−3332i−2i2i−2i−i−iii0-112-2−33-1100−3−33300002i−2i00−ii00i3i3−i3−i3-110−330000i3−i3−ii00000000000
χ482-22-2-122-2-2-21-1122-2-11-11001-2-12−3−333−2i2i−2i2iii−i−i0-112-2−33-1100−3−3330000−2i2i00i−i00−i3−i3i3i3-110−330000−i3i3i−i00000000000
χ492-22-2-122-2-2-21-112-22-11-11001-2-1233−3−32i−2i2i−2i−i−iii01-1-22−33-110033−3−30000−2i2i00−ii00−i3−i3i3i31-10−330000i3−i3i−i00000000000
χ502-22-2-122-2-2-21-112-22-11-11001-2-1233−3−3−2i2i−2i2iii−i−i01-1-22−33-110033−3−300002i−2i00i−i00i3i3−i3−i31-10−330000−i3i3−ii00000000000
χ512-22-2-122-2-2-21-112-22-11-11001-2-12−3−3332i−2i2i−2i−i−iii01-1-223−3-1100−3−3330000−2i2i00−ii00i3i3−i3−i31-103−30000−i3i3i−i00000000000
χ522-22-2-122-2-2-21-112-22-11-11001-2-12−3−333−2i2i−2i2iii−i−i01-1-223−3-1100−3−33300002i−2i00i−i00−i3−i3i3i31-103−30000i3−i3−ii00000000000
χ5344444-2-4-4-2-2444-200-2-2-2-200-42-420000000000000000000220000004-4000000002200000000000-20000000000000000
χ5444444-2-4-4-2-2444-200-2-2-2-200-42-42000000000000000000022000000-4400000000-2-20000000000020000000000000000
χ554444-24-4-444-2-2-2400-2-2-2-2002-42-4000044-4-4222200000002200000000000000-2-2000000000000000000000000000000
χ564444-24-4-444-2-2-2400-2-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000022000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44400-444-4-4-4004-4-4422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-44400-444-4-4-4004-4-44−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-2002-24-4-4200-222-222−22000022−2222−2200000000000000000−22−22−22000000000023−2300000000000000000006−60000000
χ6444-4-44-2002-24-4-4200-222-222−22000022−2222−2200000000000000000−22−22−220000000000−23230000000000000000000−660000000
χ6544-4-44-2002-24-4-4200-222-2−22220000−2222−2222000000000000000002−22−22−2000000000023−230000000000000000000−660000000
χ6644-4-44-2002-24-4-4200-222-2−22220000−2222−2222000000000000000002−22−22−20000000000−232300000000000000000006−60000000
χ6744-4-4-2400-44-222-400-222-222−220000−22−22000023−2323−2300000000022−22−22−220000000000006−66−6000000000000000000000000
χ6844-4-4-2400-44-222-400-222-222−220000−22−220000−2323−232300000000022−22−22−22000000000000−66−66000000000000000000000000
χ6944-4-4-2400-44-222-400-222-2−222200002−22−2000023−2323−23000000000−22222−22−2000000000000−66−66000000000000000000000000
χ7044-4-4-2400-44-222-400-222-2−222200002−22−20000−2323−2323000000000−22222−22−20000000000006−66−6000000000000000000000000
χ714-44-44-24-422-44-4-24-4-22-2200-424-200000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ724-44-44-24-422-44-4-2-44-22-2200-424-20000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ734-44-44-2-4422-44-4-200-22-22004-2-4200000000000000000002-2000000004-40000000000000000000000000-22000000000
χ744-44-44-2-4422-44-4-200-22-22004-2-4200000000000000000002-200000000-4400000000000000000000000002-2000000000
χ754-44-4-24-44-4-42-22400-22-2200-242-400004i−4i−4i4i2i2i−2i−2i00000002-200000000000000−2i2i000000000000000000000000000000
χ764-44-4-24-44-4-42-22400-22-2200-242-40000−4i4i4i−4i−2i−2i2i2i00000002-2000000000000002i−2i000000000000000000000000000000
χ774-44-4-2-24-4222-22-24-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ784-44-4-2-24-4222-22-24-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ794-44-4-2-24-4222-22-2-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ804-44-4-2-24-4222-22-2-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ814-4-4444004-4-4-44-40044-4-4000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ824-4-4444004-4-4-44-40044-4-40000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ834-4-44-24004-422-2-400-2-2220000006−6−660000−2i32i32i3−2i3000000000006−6−66000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ844-4-44-24004-422-2-400-2-2220000006−6−6600002i3−2i3−2i32i3000000000006−6−660000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ854-4-44-24004-422-2-400-2-222000000−666−60000−2i32i32i3−2i300000000000−666−60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ864-4-44-24004-422-2-400-2-222000000−666−600002i3−2i3−2i32i300000000000−666−6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-4-4444002-2-2242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-4444002-2-22−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-8-4-4-88444-44-4002-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ918-8-888-400-44-8-88400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400-4444-440022-2-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-400-4444-440022-2-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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