Finite Group Databasebeta

← Group #11872989

Character table — Group #11872989

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242444441212121226612121212121224242424242422244466881212242424246661212446681212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-111111-11-1-111-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-11-111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-111-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111-1-111-1-1-1111-1-1-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-1-11-1-1-11-1111111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111-1-111111-1-11111111-1-1-1111-11-1-1-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111-1-1-111-1-11111111-1-1-1-1111-1-1-1111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200-222002200000000000000-2000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-2002-2-200220000000000000020000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000200-22200-2-200000000000000-20000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000-2002-2-200-2-2000000000000002000000-2200000
χ2122222-1222-1-12-12-122-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-12200000022-1-1-1-1-1-12-1-1-1-120-1-100-1-100000000000
χ2222222-1222-1-12-12-122-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2000000-2-21111112-1-1-1-1-2011001100000000000
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-1211112222-1-1-1-1-211-1-122-1-1-2-2111122000000-2-2-1-11111-211-1-1-20-1-1001100000000000
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-121111-2-2-2-21111-211-1-122-1-1-2-21111-2-20000002211-1-1-1-1-211-1-1201100-1-100000000000
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-200000022-1-1-1-1-1-1-21111-2011001100000000000
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-122000000-2-2111111-2111120-1-100-1-100000000000
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-1211112222-1-1-1-12-1-111-2-2-1-1-2-21111-2-2000000-2-2-1-111112-1-111201100-1-100000000000
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-121111-2-2-2-211112-1-111-2-2-1-1-2-21111220000002211-1-1-1-12-1-111-20-1-1001100000000000
χ292222-1222-122-12-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-1002222-1-100000000-1-1-1-1-102002-100-1-1-1-10000-100
χ302222-1222-122-12-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-21100000000-1-1-1-1-10-200-210011110000100
χ312222-1222-122-12-1-122-1-1-1-2-22-12-1-2-2-2-200000000-2-2-222-1-1-1-1111111002222-1-100000000111-1-10-200-2-100-1-1110000100
χ322222-1222-122-12-1-122-1-1-1-2-22-12-1-2-2-2-200000000-2-2-222-1-1-1-111111100-2-2-2-21100000000111-1-10200210011-1-10000-100
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1002-2-22-1-100000000111110-2002-10011-1-10000100
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-222-21100000000111110200-2100-1-1110000-100
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-1-2-2-2-200000000222-2-211-1-1111111002-2-22-1-100000000-1-1-1110200-2-10011110000-100
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-1-2-2-2-200000000222-2-211-1-111111100-222-21100000000-1-1-1110-2002100-1-1-1-10000100
χ372-2-22222-2-22-22-2-222i−2i-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0002i−2i2i−2i2-20000002-2000000002i−2i00000002i−2i002-2000000000000000
χ382-2-22222-2-22-22-2-222i−2i-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0002i−2i2i−2i2-2000000-2200000000−2i2i00000002i−2i00-22000000000000000
χ392-2-22222-2-22-22-2-22−2i2i-22-200-2-22200002i−2i2i−2i2i2i−2i−2i000−2i2i−2i2i2-2000000-22000000002i−2i0000000−2i2i00-22000000000000000
χ402-2-22222-2-22-22-2-22−2i2i-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i000−2i2i−2i2i2-20000002-200000000−2i2i0000000−2i2i002-2000000000000000
χ412-2-2222-22-22-22-2-2200-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-220000000002i−2i000002i−2i000000000000000002i−2i00002-2000
χ422-2-2222-22-22-22-2-2200-22-20022-2-200002i−2i−2i2i−2i−2i2i2i0000000-22000000000−2i2i000002i−2i00000000000000000−2i2i0000-22000
χ432-2-2222-22-22-22-2-2200-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-220000000002i−2i00000−2i2i000000000000000002i−2i0000-22000
χ442-2-2222-22-22-22-2-2200-22-20022-2-20000−2i2i2i−2i2i2i−2i−2i0000000-22000000000−2i2i00000−2i2i00000000000000000−2i2i00002-2000
χ452-2-222-12-2-2-1121-2-12i−2i1-11001-2-1233−3−32i−2i2i−2i−i−iii0−i3i3−ii2i−2i-110033−3−32-200000000−ii−i3−i3i3i30−i3i3−ii00-11003−300000000000
χ462-2-222-12-2-2-1121-2-12i−2i1-11001-2-1233−3−3−2i2i−2i2iii−i−i0−i3i3−ii2i−2i-110033−3−3-2200000000i−ii3i3−i3−i30−i3i3−ii001-100−3300000000000
χ472-2-222-12-2-2-1121-2-12i−2i1-11001-2-12−3−3332i−2i2i−2i−i−iii0i3−i3−ii2i−2i-1100−3−3332-200000000−iii3i3−i3−i30i3−i3−ii00-1100−3300000000000
χ482-2-222-12-2-2-1121-2-12i−2i1-11001-2-12−3−333−2i2i−2i2iii−i−i0i3−i3−ii2i−2i-1100−3−333-2200000000i−i−i3−i3i3i30i3−i3−ii001-1003−300000000000
χ492-2-222-12-2-2-1121-2-1−2i2i1-11001-2-1233−3−32i−2i2i−2i−i−iii0i3−i3i−i−2i2i-110033−3−3-2200000000−ii−i3−i3i3i30i3−i3i−i001-100−3300000000000
χ502-2-222-12-2-2-1121-2-1−2i2i1-11001-2-1233−3−3−2i2i−2i2iii−i−i0i3−i3i−i−2i2i-110033−3−32-200000000i−ii3i3−i3−i30i3−i3i−i00-11003−300000000000
χ512-2-222-12-2-2-1121-2-1−2i2i1-11001-2-12−3−3332i−2i2i−2i−i−iii0−i3i3i−i−2i2i-1100−3−333-2200000000−iii3i3−i3−i30−i3i3i−i001-1003−300000000000
χ522-2-222-12-2-2-1121-2-1−2i2i1-11001-2-12−3−333−2i2i−2i2iii−i−i0−i3i3i−i−2i2i-1100−3−3332-200000000i−i−i3−i3i3i30−i3i3i−i00-1100−3300000000000
χ5344444-2-4-44-2-24-24-200-2-2-2002-42-4000044-4-422220000000220000000000000000-2-20000000000000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000000220000000000000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-200-42-4200000000000000000002200000000400-4-2-200000000000000000020000000000000
χ564444-24-4-4-244-24-2-200-2-2-200-42-4200000000000000000002200000000-400422000000000000000000-20000000000000
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
χ6144-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ6244-4-444004-44-4-4-44004-4-400000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ6344-4-44-20042-2-42-4-200-2220000006−66−6000023−2323−23000000000006−66−60000000022−2200−22−22000000000000000000000000
χ6444-4-44-20042-2-42-4-200-2220000006−66−60000−2323−2323000000000006−66−600000000−2222002−22−2000000000000000000000000
χ6544-4-44-20042-2-42-4-200-222000000−66−66000023−2323−2300000000000−66−6600000000−2222002−22−2000000000000000000000000
χ6644-4-44-20042-2-42-4-200-222000000−66−660000−2323−232300000000000−66−660000000022−2200−22−22000000000000000000000000
χ674-44-44400-4-4-4-444400-4-4422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ684-44-44400-4-4-4-444400-4-44−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ694-44-44-200-422-4-24-20022-222−220000−222−20000−2i32i32i3−2i300000000022−22−222−2000000000000−i6i6i6−i6000000000000000000000000
χ704-44-44-200-422-4-24-20022-222−220000−222−200002i3−2i3−2i32i300000000022−22−222−2000000000000i6−i6−i6i6000000000000000000000000
χ714-44-44-200-422-4-24-20022-2−222200002−2−220000−2i32i32i3−2i3000000000−22222−2−22000000000000i6−i6−i6i6000000000000000000000000
χ724-44-44-200-422-4-24-20022-2−222200002−2−2200002i3−2i3−2i32i3000000000−22222−2−22000000000000−i6i6i6−i6000000000000000000000000
χ734-44-4-24002-4-424-2-20022-222−22000022−22−222200000000000000000−22−222−2000000−2i32i300000000000000000000000i6−i60000000
χ744-44-4-24002-4-424-2-20022-222−22000022−22−222200000000000000000−22−222−20000002i3−2i300000000000000000000000−i6i60000000
χ754-44-4-24002-4-424-2-20022-2−22220000−222222−22000000000000000002−22−2−22000000−2i32i300000000000000000000000−i6i60000000
χ764-44-4-24002-4-424-2-20022-2−22220000−222222−22000000000000000002−22−2−220000002i3−2i300000000000000000000000i6−i60000000
χ774-4-444-2-44-4-2242-4-2002-2200-242-400004i−4i−4i4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ784-4-444-2-44-4-2242-4-2002-2200-242-40000−4i4i4i−4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ794-4-44-244-424-4-2-42-24i−4i2-2200-424-20000000000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000
χ804-4-44-244-424-4-2-42-2−4i4i2-2200-424-2000000000000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000
χ814-4-44-24-4424-4-2-42-2002-22004-2-4200000000000000000002-20000000004i−4i000000000000000000000000−2i2i000000000
χ824-4-44-24-4424-4-2-42-2002-22004-2-4200000000000000000002-2000000000−4i4i0000000000000000000000002i−2i000000000
χ834-4-44-2-24-42-22-22214i−4i-11-10022-2-22323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i3−i3i−i0000000000000000000
χ844-4-44-2-24-42-22-22214i−4i-11-10022-2-2−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000−i3i3i−i0000000000000000000
χ854-4-44-2-24-42-22-2221−4i4i-11-10022-2-22323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−i3i3−ii0000000000000000000
χ864-4-44-2-24-42-22-2221−4i4i-11-10022-2-2−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000i3−i3−ii0000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4800-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44-44442002-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-400-44-44442002-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-4004444-4-4200-2-2242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ928-88-8-4-4004444-4-4200-2-22−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000
χ938-8-88-4-4-884-44-444200-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000

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