Finite Group Databasebeta

← Group #11865056

Character table — Group #11865056

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444661212121222344666666666121212121212121212126666666666121212121212121212122444668888121212121212242424242424242422222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ911-1-1111-1-11111-1-1111-111-1-1-11-1-1-1-1111-1-11-111-1-111-11-11-111-1-11-11-11-111-1-11-11-1111-11-1-1-111-1-111-1-111-1-111-1-11-11-1
χ1011-1-1111-1-11111-1-1111-111-1-1-11-1-1-1-1111-1-11-111-1-111-11-11-111-1-11-11-11-111-1-11-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111-11-11
χ1111-1-1111-1-11111-1-1111-111-1-1-11-1-1-1-1111-1-11-111-1-111-11-11-111-1-11-11-11-111-1-1-111-1-1-1-111-11111-1-111-1-1-1-111-1-111-11-11
χ1211-1-1111-1-11111-1-1111-111-1-1-11-1-1-1-1111-1-11-111-1-111-11-11-111-1-11-11-11-111-1-1-11-11-1-1-11-1111-1-111-1-111-1-11111-1-11-11-1
χ1311-1-1111-1-11111-1-111-111-11-1-11-1-1-1-1111-1-11-111-1-11-11-111-1-1-111-11-111-1-1-1111-11-111-11-11-1-111-1-1-1-111-1-11111-1-1-11-11
χ1411-1-1111-1-11111-1-111-111-11-1-11-1-1-1-1111-1-11-111-1-11-11-111-1-1-111-11-111-1-1-1111-1-1111-111-1-1-1-1-11111-1-1-1-111-1-1111-11-1
χ1511-1-1111-1-11111-1-111-111-11-1-11-1-1-1-1111-1-11-111-1-11-11-111-1-1-111-11-111-1-1-111-111-1-1-11-1-111111-1-1-1-11111-1-1-1-1111-11-1
χ1611-1-1111-1-11111-1-111-111-11-1-11-1-1-1-1111-1-11-111-1-11-11-111-1-1-111-11-111-1-1-111-11-11-1-11-11-111-1-11111-1-111-1-111-1-1-11-11
χ172222222-2-2-2-222-2-2-2-200200222222222-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000002-22-20000
χ182222222-2-2-2-222-2-2-2-200200222222222-2-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000-22-220000
χ19222222-122222-1-1-12222-12222-1-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200-1-12200-1-100000000-1-1-1-100000000
χ20222222-122222-1-1-12222-12222-1-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20011-2-2001100000000111100000000
χ21222222-122222-1-1-122-2-2-1-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-211-1-11111-2-211-1-111112200-1-1-2-200-1-100000000111100000000
χ22222222-122222-1-1-122-2-2-1-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-211-1-11111-2-211-1-11111-2-2001122001100000000-1-1-1-100000000
χ2322222-122222-1222-1-122-122-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200002200-1-1-1-1-1-1-1-1000000000000
χ2422222-122222-1222-1-122-122-1-1222-1-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-20011111111000000000000
χ2522222-122222-1222-1-1-2-2-1-2-2-1-1222-1-1-1-1-1-1-122-1-1-1-1211-2-2-1-1111111-2-2-1-1111100220000-2-200-1-1-1-11111000000000000
χ2622222-122222-1222-1-1-2-2-1-2-2-1-1222-1-1-1-1-1-1-122-1-1-1-1211-2-2-1-1111111-2-2-1-1111100-2-2000022001111-1-1-1-1000000000000
χ27222-2-2222-22-2222222002002-2-22-2222-2-22-22-22222-20000-2-200000000-2-20000000000000000000000000000000022-2-2
χ28222-2-2222-22-2222222002002-2-22-2222-2-22-22-22222-20000-2-200000000-2-200000000000000000000000000000000-2-222
χ29222-2-222-22-2222-2-2-2-2222-2-22-2-22-2222-22-22-22-2-2-2-222222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000
χ30222-2-222-22-2222-2-2-2-2-2-22222-2-22-2222-22-22-22-2-2-2-22-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000
χ31222-2-22-1-22-222-111-2-222-1-2-22-21-11-1-1-1-22-221-11111-122-1-111-1-1-1-1-2-211-1-111110000−i3i30000−i3i300000000−i3i3−i3i300000000
χ32222-2-22-1-22-222-111-2-222-1-2-22-21-11-1-1-1-22-221-11111-122-1-111-1-1-1-1-2-211-1-111110000i3−i30000i3−i300000000i3−i3i3−i300000000
χ33222-2-22-1-22-222-111-2-2-2-2-1222-21-11-1-1-1-22-221-11111-1-2-21111111122-1-1-1-1-1-1-1-10000−i3i30000−i3i300000000i3−i3i3−i300000000
χ34222-2-22-1-22-222-111-2-2-2-2-1222-21-11-1-1-1-22-221-11111-1-2-21111111122-1-1-1-1-1-1-1-10000i3−i30000i3−i300000000−i3i3−i3i300000000
χ35222-2-2-12-22-22-12-2-21122-1-2-2-11-22-2-1-1-11-11-1-2211112-1-12211-1-1-1-111-2-2-1-111110000000000003−33−33−33−3000000000000
χ36222-2-2-12-22-22-12-2-21122-1-2-2-11-22-2-1-1-11-11-1-2211112-1-12211-1-1-1-111-2-2-1-11111000000000000−33−33−33−33000000000000
χ37222-2-2-12-22-22-12-2-211-2-2-122-11-22-2-1-1-11-11-1-221111211-2-2111111-1-122-1-1-1-1-1-10000000000003−33−3−33−33000000000000
χ38222-2-2-12-22-22-12-2-211-2-2-122-11-22-2-1-1-11-11-1-221111211-2-2111111-1-122-1-1-1-1-1-1000000000000−33−333−33−3000000000000
χ3922-22-2222-2-222222-2-22-22-22-22-2-22-2-22-222-2-2-2-2-22222-22-2-2222-2-2-22-222-2-2-22200000000000000000000000000000000
χ4022-22-2222-2-222222-2-2-2222-2-22-2-22-2-22-222-2-2-2-2-2222-22-22-22-2-2222-22-22-222-2-200000000000000000000000000000000
χ4122-22-222-222-222-2-22200200-22-2-22-2-22-2-2-222222-2-2-20000-2200000000-22000000000000000000000000000000002-2-22
χ4222-22-222-222-222-2-22200200-22-2-22-2-22-2-2-222222-2-2-20000-2200000000-2200000000000000000000000000000000-222-2
χ4322-22-22-12-2-222-1-1-1-2-22-2-1-22-2211-111-1-222-21111-1-1-12-2-111-1-1-111-221-1-1111-1-10000−i3i30000i3−i300000000−i3i3i3−i300000000
χ4422-22-22-12-2-222-1-1-1-2-22-2-1-22-2211-111-1-222-21111-1-1-12-2-111-1-1-111-221-1-1111-1-10000i3−i30000−i3i300000000i3−i3−i3i300000000
χ4522-22-22-12-2-222-1-1-1-2-2-22-12-2-2211-111-1-222-21111-1-1-1-221-11-111-1-12-2-11-11-1-1110000−i3i30000i3−i300000000i3−i3−i3i300000000
χ4622-22-22-12-2-222-1-1-1-2-2-22-12-2-2211-111-1-222-21111-1-1-1-221-11-111-1-12-2-11-11-1-1110000i3−i30000−i3i300000000−i3i3i3−i300000000
χ4722-22-2-122-2-22-1222112-2-1-221-1-2-2211-11-1-11-2-211-1-12-112-21-1-1-1111-1-22-1111-1-10000000000003−3−333−3−33000000000000
χ4822-22-2-122-2-22-1222112-2-1-221-1-2-2211-11-1-11-2-211-1-12-112-21-1-1-1111-1-22-1111-1-1000000000000−333−3−333−3000000000000
χ4922-22-2-122-2-22-122211-22-12-21-1-2-2211-11-1-11-2-211-1-121-1-221-111-1-1-112-2-11-1-1110000000000003−3−33−333−3000000000000
χ5022-22-2-122-2-22-122211-22-12-21-1-2-2211-11-1-11-2-211-1-121-1-221-111-1-1-112-2-11-1-111000000000000−333−33−3−33000000000000
χ5122-2-222222-2-22222-2-200200-2-22-2-2-2-222-222-22-2-222-200002-200000000-2200000000000000000000000000002-2-220000
χ5222-2-222222-2-22222-2-200200-2-22-2-2-2-222-222-22-2-222-200002-200000000-220000000000000000000000000000-222-20000
χ5322-2-222-1-2-2222-111222-2-12-2-2-2-11111-122-2-2-11-1-111-12-2-11-11-1-1112-2-11-11-1-1112-200-1-12-2001100000000-1-11100000000
χ5422-2-222-1-2-2222-111222-2-12-2-2-2-11111-122-2-2-11-1-111-12-2-11-11-1-1112-2-11-11-1-111-220011-2200-1-10000000011-1-100000000
χ5522-2-222-1-2-2222-11122-22-1-22-2-2-11111-122-2-2-11-1-111-1-221-1-1111-1-1-221-1-1111-1-12-200-1-1-2200110000000011-1-100000000
χ5622-2-222-1-2-2222-11122-22-1-22-2-2-11111-122-2-2-11-1-111-1-221-1-1111-1-1-221-1-1111-1-1-2200112-200-1-100000000-1-11100000000
χ5722-2-22-12-2-222-12-2-2-1-12-2-12-2112-2-211-1-1-1112-2-1-1112-112-2-11-1-111-112-2-11-1-111002-200002-200-1-111-1-111000000000000
χ5822-2-22-12-2-222-12-2-2-1-12-2-12-2112-2-211-1-1-1112-2-1-1112-112-2-11-1-111-112-2-11-1-11100-220000-220011-1-111-1-1000000000000
χ5922-2-22-12-2-222-12-2-2-1-1-22-1-22112-2-211-1-1-1112-2-1-11121-1-22-1111-1-11-1-22-1111-1-1002-20000-2200-1-11111-1-1000000000000
χ6022-2-22-12-2-222-12-2-2-1-1-22-1-22112-2-211-1-1-1112-2-1-11121-1-22-1111-1-11-1-22-1111-1-100-2200002-20011-1-1-1-111000000000000
χ61444444-2-4-4-4-44-222-4-400-20044-2-2-2-2-2-24-4-4-422222220000-2-20000000022000000000000000000000000000000000000
χ6244444-24-4-4-4-4-24-4-42200-200-2-2444-2-2-2-2222-4-42222-40000-2-20000000022000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-244144-2-2-2-2-2111-2-2-2-2-2-21111-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2-2111-2-2-2-2-2-21111-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2222200100-2-2-2-2-2111-222222-1-1-1-120000113-33-30000-1-13-33-300000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2222200100-2-2-2-2-2111-222222-1-1-1-12000011-33-330000-1-1-33-3300000000000000000000000000000000
χ67444-4-44-24-44-44-2-2-24400-2004-42-22-2-2-2-4-44-4-22-2-2-2-220000220000000022000000000000000000000000000000000000
χ68444-4-4-244-44-4-2444-2-200-200-22-44-4-2-2-222-224-4-2-2-2-2-40000220000000022000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-200100-222-2211122-22-22111120000-1-13-33-30000-1-1-33-3300000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-200100-222-2211122-22-22111120000-1-1-33-330000-1-13-33-300000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-22222441-4-4-222-221112-22-22-2-1-1-1-1-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-22222-4-4144-222-221112-22-22-2-1-1-1-1-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ7344-44-44-2-444-44-2224400-200-4422-222-2-4-4-44-2-2-2-222200002-2000000002-2000000000000000000000000000000000000
χ7444-44-4-24-444-4-24-4-4-2-200-2002-2-4-4422-2222-244-2-222-400002-2000000002-2000000000000000000000000000000000000
χ7544-44-4-2-24-4-44-2-2-2-2224-41-442-222-2-1-112-2-2222-1-111-2-22-22-1111-1-12-22-21-1-1-11100000000000000000000000000000000
χ7644-44-4-2-24-4-44-2-2-2-222-4414-42-222-2-1-112-2-2222-1-111-22-22-2-11-1-111-22-221-111-1-100000000000000000000000000000000
χ7744-44-4-2-2-444-4-2-222-2-2001002-222-2-1-11222-2-2-211-1-120000-113-3-330000-11-333-300000000000000000000000000000000
χ7844-44-4-2-2-444-4-2-222-2-2001002-222-2-1-11222-2-2-211-1-120000-11-333-30000-113-3-3300000000000000000000000000000000
χ7944-4-444-244-4-44-2-2-2-4-400-200-4-4-22222-24-4442-222-2-220000-22000000002-2000000000000000000000000000000000000
χ8044-4-44-2444-4-4-24442200-200224-4-422-2-22-2-2-4422-2-2-40000-22000000002-2000000000000000000000000000000000000
χ8144-4-44-2-244-4-4-2-2-2-2220010022-222-1-11-22-2-22-2-1-111200001-13-3-330000-113-3-3300000000000000000000000000000000
χ8244-4-44-2-244-4-4-2-2-2-2220010022-222-1-11-22-2-22-2-1-111200001-1-333-30000-11-333-300000000000000000000000000000000
χ8344-4-44-2-2-4-444-2-222-2-24-414-422-222-1-11-2-222-2211-1-1-2-22-221-111-1-1-22-221-111-1-100000000000000000000000000000000
χ8444-4-44-2-2-4-444-2-222-2-2-441-4422-222-1-11-2-222-2211-1-1-22-22-21-1-1-1112-22-21-1-1-11100000000000000000000000000000000
χ858-8000880000-8-80000008000000000-8000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8443−430000-400000000040000000043−4300000000000000000000000000000000000000000000000000000
χ878-80008-40000-84−43430000-4000000000400000000−434300000000000000000000000000000000000000000000000000000
χ888-8000-4800004-80043−4300-4000000000400000043−430000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-800−434300-40000000004000000−43430000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4300200000006-6-2000000−2323−232300000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43430020000000-66-200000023−23−232300000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−430020000000-66-2000000−232323−2300000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434300200000006-6-200000023−2323−2300000000000000000000000000000000000000000000000000000

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