Finite Group Databasebeta

← Group #11865163

Character table — Group #11865163

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666612122234466666666121212121212121212121266666666661212121212121212121222446666888812121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ911-1-1111-1-111-1-111111-111-1-1-11-1-1-11111-1-1-1-111-1-111-11-11-111-1-111-1-11-111-1-11-11-111-1-11-11-111-1-111-1-111-1-1111-1-1-11-1
χ1011-1-1111-1-111-1-111111-111-1-1-11-1-1-11111-1-1-1-111-1-111-11-11-111-1-111-1-11-111-1-11-1-1111-1-11-1-11-1-111-1-11111-1-1-1-1-1111-11
χ1111-1-1111-1-111-1-111111-111-1-1-11-1-1-11111-1-1-1-111-1-111-11-11-111-1-111-1-11-111-1-1-111-1-1-111-111-111-1-111-1-1-1-111-1-1-1111-11
χ1211-1-1111-1-111-1-111111-111-1-1-11-1-1-11111-1-1-1-111-1-111-11-11-111-1-111-1-11-111-1-1-11-11-1-111-11-11-1-111-1-111-1-111111-1-1-11-1
χ1311-1-1111-1-111-1-11111-111-11-1-11-1-1-11111-1-1-1-111-1-11-11-111-1-1-111-1-1111-1-1-1111-11-111-1-1-11-1111-1-1-1-111-1-11111-11-1-1-11
χ1411-1-1111-1-111-1-11111-111-11-1-11-1-1-11111-1-1-1-111-1-11-11-111-1-1-111-1-1111-1-1-1111-1-1111-1-1-111-1-1-11111-1-1-1-111-1-11-1111-1
χ1511-1-1111-1-111-1-11111-111-11-1-11-1-1-11111-1-1-1-111-1-11-11-111-1-1-111-1-1111-1-1-111-111-1-1-1111-1-1111-1-1-1-11111-1-1-1-11-1111-1
χ1611-1-1111-1-111-1-11111-111-11-1-11-1-1-11111-1-1-1-111-1-11-11-111-1-1-111-1-1111-1-1-111-11-11-1-1111-11-1-1-11111-1-111-1-111-11-1-1-11
χ172222222-2-2-2-22222-2-20020022222222-2-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000002-2002-200
χ182222222-2-2-2-22222-2-20020022222222-2-2-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000-2200-2200
χ19222222-12222-1-12-12222-12222-1-1-1-1-122-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-12200-1-1-1-1220000000000-1-1-1-100000000
χ20222222-12222-1-12-12222-12222-1-1-1-1-122-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-2-2001111-2-20000000000111100000000
χ21222222-12222-1-12-122-2-2-1-2-222-1-1-1-1-122-122-1-1-1-1-1-1-1-2-211-1-11111-21-21-1-111112200-1-1-1-1-2-20000000000111100000000
χ22222222-12222-1-12-122-2-2-1-2-222-1-1-1-1-122-122-1-1-1-1-1-1-1-2-211-1-11111-21-21-1-11111-2-2001111220000000000-1-1-1-100000000
χ2322222-12222222-12-1-122-122-1-122-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1002200000022-1-1-1-1-1-1-1-1000000000000
χ2422222-12222222-12-1-122-122-1-122-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-100-2-2000000-2-211111111000000000000
χ2522222-12222222-12-1-1-2-2-1-2-2-1-122-1-1-1-1-12-1-122-1-1-1-1211-2-2-1-111111-21-2-1-111110022000000-2-2-1-1-1-11111000000000000
χ2622222-12222222-12-1-1-2-2-1-2-2-1-122-1-1-1-1-12-1-122-1-1-1-1211-2-2-1-111111-21-2-1-1111100-2-2000000221111-1-1-1-1000000000000
χ27222-2-2222-22-2222222002002-2-2-2222-2-222-22-22222-20000-2-200000000-2-20000000000000000000000000000002-200-22
χ28222-2-2222-22-2222222002002-2-2-2222-2-222-22-22222-20000-2-200000000-2-2000000000000000000000000000000-22002-2
χ29222-2-222-22-222222-2-2222-2-22-2-2-2222-22-2-22-22-2-2-2-222222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000
χ30222-2-222-22-222222-2-2-2-22222-2-2-2222-22-2-22-22-2-2-2-22-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000
χ31222-2-22-1-22-22-1-12-1-2-222-1-2-22-211-1-1-1-221-221-11111-122-1-111-1-1-1-1-21-21-1-111110000−i3i3−i3i3000000000000−i3i3−i3i300000000
χ32222-2-22-1-22-22-1-12-1-2-222-1-2-22-211-1-1-1-221-221-11111-122-1-111-1-1-1-1-21-21-1-111110000i3−i3i3−i3000000000000i3−i3i3−i300000000
χ33222-2-22-1-22-22-1-12-1-2-2-2-2-1222-211-1-1-1-221-221-11111-1-2-2111111112-12-1-1-1-1-1-1-10000−i3i3−i3i3000000000000i3−i3i3−i300000000
χ34222-2-22-1-22-22-1-12-1-2-2-2-2-1222-211-1-1-1-221-221-11111-1-2-2111111112-12-1-1-1-1-1-1-10000i3−i3i3−i3000000000000−i3i3−i3i300000000
χ35222-2-2-12-22-2222-121122-1-2-2-11-2-2-1-1-11-1-21-1-2211112-1-12211-1-1-1-11-21-2-1-111110000000000003−33−33−33−3000000000000
χ36222-2-2-12-22-2222-121122-1-2-2-11-2-2-1-1-11-1-21-1-2211112-1-12211-1-1-1-11-21-2-1-11111000000000000−33−33−33−33000000000000
χ37222-2-2-12-22-2222-1211-2-2-122-11-2-2-1-1-11-1-21-1-221111211-2-2111111-12-12-1-1-1-1-1-10000000000003−33−3−33−33000000000000
χ38222-2-2-12-22-2222-1211-2-2-122-11-2-2-1-1-11-1-21-1-221111211-2-2111111-12-12-1-1-1-1-1-1000000000000−33−333−33−3000000000000
χ3922-22-2222-2-22-2-222-2-22-22-22-22-22-2-22-22-22-22-2-2-22222-22-2-2222-2-2-2-2222-2-2-22200000000000000000000000000000000
χ4022-22-2222-2-22-2-222-2-2-2222-2-22-22-2-22-22-22-22-2-2-2222-22-22-22-2-22222-2-22-222-2-200000000000000000000000000000000
χ4122-22-222-222-2-2-2222200200-22-22-2-22-2-22-22-2222-2-2-20000-2200000000-220000000000000000000000000000002200-2-2
χ4222-22-222-222-2-2-2222200200-22-22-2-22-2-22-22-2222-2-2-20000-2200000000-22000000000000000000000000000000-2-20022
χ4322-22-22-12-2-22112-1-2-22-2-1-22-221-111-1-2212-2-1111-1-1-12-2-111-1-1-111-212-1-1111-1-10000−i3i3i3−i3000000000000−i3i3i3−i300000000
χ4422-22-22-12-2-22112-1-2-22-2-1-22-221-111-1-2212-2-1111-1-1-12-2-111-1-1-111-212-1-1111-1-10000i3−i3−i3i3000000000000i3−i3−i3i300000000
χ4522-22-22-12-2-22112-1-2-2-22-12-2-221-111-1-2212-2-1111-1-1-1-221-11-111-1-12-1-21-11-1-1110000−i3i3i3−i3000000000000i3−i3−i3i300000000
χ4622-22-22-12-2-22112-1-2-2-22-12-2-221-111-1-2212-2-1111-1-1-1-221-11-111-1-12-1-21-11-1-1110000i3−i3−i3i3000000000000−i3i3i3−i300000000
χ4722-22-2-122-2-22-2-2-12112-2-1-221-1-2211-11-1-2-112-211-1-12-112-21-1-1-1111-2-12-1111-1-10000000000003−3−333−3−33000000000000
χ4822-22-2-122-2-22-2-2-12112-2-1-221-1-2211-11-1-2-112-211-1-12-112-21-1-1-1111-2-12-1111-1-1000000000000−333−3−333−3000000000000
χ4922-22-2-122-2-22-2-2-1211-22-12-21-1-2211-11-1-2-112-211-1-121-1-221-111-1-1-121-2-11-1-1110000000000003−3−33−333−3000000000000
χ5022-22-2-122-2-22-2-2-1211-22-12-21-1-2211-11-1-2-112-211-1-121-1-221-111-1-1-121-2-11-1-111000000000000−333−33−3−33000000000000
χ5122-2-222222-2-2-2-222-2-200200-2-22-2-2-222-2-22222-2-222-200002-200000000-2200000000000000000000000000002-200-2200
χ5222-2-222222-2-2-2-222-2-200200-2-22-2-2-222-2-22222-2-222-200002-200000000-220000000000000000000000000000-22002-200
χ5322-2-222-1-2-222112-1222-2-12-2-2-2-1111-122-1-2-211-1-111-12-2-11-11-1-1112-1-21-11-1-1112-200-1-1112-20000000000-1-11100000000
χ5422-2-222-1-2-222112-1222-2-12-2-2-2-1111-122-1-2-211-1-111-12-2-11-11-1-1112-1-21-11-1-111-220011-1-1-22000000000011-1-100000000
χ5522-2-222-1-2-222112-122-22-1-22-2-2-1111-122-1-2-211-1-111-1-221-1-1111-1-1-212-1-1111-1-12-200-1-111-22000000000011-1-100000000
χ5622-2-222-1-2-222112-122-22-1-22-2-2-1111-122-1-2-211-1-111-1-221-1-1111-1-1-212-1-1111-1-1-220011-1-12-20000000000-1-11100000000
χ5722-2-22-12-2-222-2-2-12-1-12-2-12-2112-211-1-1-1211-2-2-1-1112-112-2-11-1-111-121-2-11-1-111002-20000002-2-1-111-1-111000000000000
χ5822-2-22-12-2-222-2-2-12-1-12-2-12-2112-211-1-1-1211-2-2-1-1112-112-2-11-1-111-121-2-11-1-11100-22000000-2211-1-111-1-1000000000000
χ5922-2-22-12-2-222-2-2-12-1-1-22-1-22112-211-1-1-1211-2-2-1-11121-1-22-1111-1-11-2-12-1111-1-1002-2000000-22-1-11111-1-1000000000000
χ6022-2-22-12-2-222-2-2-12-1-1-22-1-22112-211-1-1-1211-2-2-1-11121-1-22-1111-1-11-2-12-1111-1-100-220000002-211-1-1-1-111000000000000
χ61444444-2-4-4-4-4-2-24-2-4-400-20044-2-2-2-2-24-42-4-422222220000-2-20000000022000000000000000000000000000000000000
χ6244444-24-4-4-4-444-242200-200-2-244-2-2-2-22-422-4-42222-40000-2-20000000022000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-21111-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-2-2-2-21111-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-22200100-2-2-2-2111-2222222-1-1-1-120000113-33-30000-1-13-33-300000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-22200100-2-2-2-2111-2222222-1-1-1-12000011-33-330000-1-1-33-3300000000000000000000000000000000
χ67444-4-44-24-44-4-2-24-24400-2004-422-2-2-2-4-4-24-4-22-2-2-2-220000220000000022000000000000000000000000000000000000
χ68444-4-4-244-44-444-24-2-200-200-22-4-4-2-2-2224-224-4-2-2-2-2-40000220000000022000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-200100-222211122-2-22-22111120000-1-13-33-30000-1-1-33-3300000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-200100-222211122-2-22-22111120000-1-1-33-330000-1-13-33-300000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-2-222441-4-4-22221112-222-22-2-1-1-1-1-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-2-222-4-4144-22221112-222-22-2-1-1-1-1-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ7344-44-44-2-444-4224-24400-200-442-222-2-4-4-2-442-2-2-222200002-2000000002-2000000000000000000000000000000000000
χ7444-44-4-24-444-4-4-4-24-2-200-2002-2-4422-22242-2-44-2-222-400002-2000000002-2000000000000000000000000000000000000
χ7544-44-4-2-24-4-4422-2-2224-41-442-22-2-1-112-22-22-22-1-111-2-22-22-1111-1-122-2-21-1-1-11100000000000000000000000000000000
χ7644-44-4-2-24-4-4422-2-222-4414-42-22-2-1-112-22-22-22-1-111-22-22-2-11-1-111-2-2221-111-1-100000000000000000000000000000000
χ7744-44-4-2-2-444-422-2-2-2-2001002-22-2-1-1122-22-22-211-1-120000-113-3-330000-11-333-300000000000000000000000000000000
χ7844-44-4-2-2-444-422-2-2-2-2001002-22-2-1-1122-22-22-211-1-120000-11-333-30000-113-3-3300000000000000000000000000000000
χ7944-4-444-244-4-4224-2-4-400-200-4-4-2222-24-4244-2-222-2-220000-22000000002-2000000000000000000000000000000000000
χ8044-4-44-2444-4-4-4-4-242200-200224-422-2-22-4-2-24422-2-2-40000-22000000002-2000000000000000000000000000000000000
χ8144-4-44-2-244-4-422-2-2220010022-22-1-11-222-2-2-2-2-1-111200001-13-3-330000-113-3-3300000000000000000000000000000000
χ8244-4-44-2-244-4-422-2-2220010022-22-1-11-222-2-2-2-2-1-111200001-1-333-30000-11-333-300000000000000000000000000000000
χ8344-4-44-2-2-4-44422-2-2-2-24-414-422-22-1-11-2-2-2222211-1-1-2-22-221-111-1-1-2-2221-111-1-100000000000000000000000000000000
χ8444-4-44-2-2-4-44422-2-2-2-2-441-4422-22-1-11-2-2-2222211-1-1-22-22-21-1-1-11122-2-21-1-1-11100000000000000000000000000000000
χ858-800088000000-8-80000800000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i3-840000-4000000−4i34i340000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i3-840000-40000004i3−4i340000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000004-843−4300-4000000004000000043−430000000000000000000000000000000000000000000000000000000
χ898-8000-480000004-8−434300-40000000040000000−43430000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−430020000002i3−2i3-20000000−23236i−6i00000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43430020000002i3−2i3-2000000023−23−6i6i00000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43002000000−2i32i3-20000000−2323−6i6i00000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343002000000−2i32i3-2000000023−236i−6i00000000000000000000000000000000000000000000000000000

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