Finite Group Databasebeta

← Group #11864984

Character table — Group #11864984

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222334444444444666668888888888888121212121212121212121216161616161616162424242424242424242424242424243636363636364872
order12233446644223666121212122241212666668812122424242422444444661266242424242424266881212121212122424242422444464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-1-1-111111111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111-1-11111111111111-1-1-1-111-11111-1-11-1-1-11-111111-1-11-111-1-1-11-11-11-1-1-11111-1-11-11-111-1-1
χ611111111111-1-11111111111111-1-1-1-111-11111-1-1-11-1-1-11-1-1111-1-11-111-1-11-111-1-11-1-1-1-111-1-1-11-11-1-111
χ711111111111-1-11111111111111-1-1-1-11-1111-1-1111-1-1-11-1-1-1111-1-1-11-1-11111-1-111-1-1-1-1-1-1-1111-11-1-1-111
χ811111111111-1-11111111111111-1-1-1-11-1111-1-111-11-1-1-1111111-1-1-11-1-111-1-11-11-11-1-111-1-111-11-1111-1-1
χ9111111111-1-11111111111-1-1-1-1-1111111111111111-1-11111-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1
χ10111111111-1-11111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ11111111111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11
χ12111111111-1-11111111111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-111-1-1-1-11111111111-1-11-1
χ13111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-11-1111-111-1-1-1-1-11-111-1-1-11-1-111-11111-1-111-11-11-1-1-11
χ14111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1111-11-1-1-1-1-1-1-11-111-1-11-11-11-1111-1-1-1-1111-11-1111-1
χ15111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1111-1111-1-1-1-1-1-1-1-1-11-1-11111-11-11-111-1-111-1-1-11-11111-1
χ16111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1111-1111-1-1-1-1-1-11-1-111-1-111-1-11111111-1-11-11-1-1-1-11
χ1722222-2-222222-22222-2-2-2-2-2-22222-22-2200-2-20000002-20000-2-222-200000000000002-200000000000000
χ1822222-2-22222-222222-2-2-2-2-2-2222-22-22200-2-2000000-220000-2-22-220000000000000-2200000000000000
χ1922222-2-222-2-22-22222-2-2-2-222-2-2-22-22-2200-2-2000000-22000022-22-20000000000000-2200000000000000
χ2022222-2-222-2-2-222222-2-2-2-222-2-2-2-22-22200-2-20000002-2000022-2-2200000000000002-200000000000000
χ212222-122-120022-12-1-1-1-1220000022-1-1-122-1-1222222002222000-1-1-1-1-1-1-1-12-1-100-1-100-1-10000000000-10
χ222222-122-120022-12-1-1-1-1220000022-1-1-122-1-12222-2-200-2-2-2-2000-1-1-1-1-1-1-1-1-21100110011000000000010
χ232222-122-120022-12-1-1-1-1220000022-1-1-1-2-2-1-1-2-2-2-2220022-2-2000-1-1111111-2-1-100-1-10011000000000010
χ242222-122-120022-12-1-1-1-1220000022-1-1-1-2-2-1-1-2-2-2-2-2-200-2-222000-1-1111111211001100-1-10000000000-10
χ252222-122-1200-2-2-12-1-1-1-12200000-2-211-12-2-1-122-2-22-2002-22200011-11-1-111-2-1100-1100-1-1000000000010
χ262222-122-1200-2-2-12-1-1-1-12200000-2-211-12-2-1-122-2-2-2200-22-2-200011-11-1-11121-1001-100110000000000-10
χ272222-122-1200-2-2-12-1-1-1-12200000-2-211-1-22-1-1-2-2222-2002-2-2-2000111-111-1-12-1100-1100110000000000-10
χ282222-122-1200-2-2-12-1-1-1-12200000-2-211-1-22-1-1-2-222-2200-2222000111-111-1-1-21-1001-100-1-1000000000010
χ29222-12222-12222-1-1-1222-1-1222-1-1-1-122-122-1-1-1-1-1-100220000-1-1-1-1-122-1-1-1-10002200-1-100-1-1-1-100000000
χ30222-12222-12222-1-1-1222-1-1222-1-1-1-122-1-2-2-1-1111100220000-1-1-1-1-1-2-21111000-2-200-1-100111100000000
χ31222-12222-122-2-2-1-1-1222-1-1222-1-111-2-2-12-2-1-1-1-11100-2-20000-1-1-1112-2-1-1110002-2001100-1-11100000000
χ32222-12222-122-2-2-1-1-1222-1-1222-1-111-2-2-1-22-1-111-1-100-2-20000-1-1-111-2211-1-1000-2200110011-1-100000000
χ33222-12222-1-2-222-1-1-1222-1-1-2-2-211-1-122-122-1-1-1-1-1-100-2-20000111-1-122-1-1-1-1000-2-2001100111100000000
χ34222-12222-1-2-222-1-1-1222-1-1-2-2-211-1-122-1-2-2-1-1111100-2-20000111-1-1-2-2111100022001100-1-1-1-100000000
χ35222-12222-1-2-2-2-2-1-1-1222-1-1-2-2-21111-2-2-12-2-1-1-1-11100220000111112-2-1-111000-2200-1-10011-1-100000000
χ36222-12222-1-2-2-2-2-1-1-1222-1-1-2-2-21111-2-2-1-22-1-111-1-10022000011111-2211-1-10002-200-1-100-1-11100000000
χ37222-12-2-22-1222-2-1-1-12-2-211-2-22-1-1-112-2-100113−33−3002-2000011-1-11003−33−30000000-11003−33−300000000
χ38222-12-2-22-1222-2-1-1-12-2-211-2-22-1-1-112-2-10011−33−33002-2000011-1-1100−33−330000000-1100−33−3300000000
χ39222-12-2-22-122-22-1-1-12-2-211-2-22-1-11-1-22-100113−3−3300-22000011-11-1003−3−3300000001-1003−3−3300000000
χ40222-12-2-22-122-22-1-1-12-2-211-2-22-1-11-1-22-10011−333−300-22000011-11-100−333−300000001-100−333−300000000
χ41222-12-2-22-1-2-22-2-1-1-12-2-21122-211-112-2-100113−33−300-220000-1-11-11003−33−300000001-100−33−3300000000
χ42222-12-2-22-1-2-22-2-1-1-12-2-21122-211-112-2-10011−33−3300-220000-1-11-1100−33−3300000001-1003−33−300000000
χ43222-12-2-22-1-2-2-22-1-1-12-2-21122-2111-1-22-100113−3−33002-20000-1-111-1003−3−330000000-1100−333−300000000
χ44222-12-2-22-1-2-2-22-1-1-12-2-21122-2111-1-22-10011−333−3002-20000-1-111-100−333−30000000-11003−3−3300000000
χ4522-2222-22222002-22-22-22-22-2-2220000-2002-2000002000-2002-2-200000000002000-2000000000-2020000
χ4622-2222-22222002-22-22-22-22-2-2220000-2002-200000-20002002-2-20000000000-2000200000000020-20000
χ4722-2222-222-2-2002-22-22-22-2-222-2-20000-2002-2000002000-200-22200000000002000-200000000020-20000
χ4822-2222-222-2-2002-22-22-22-2-222-2-20000-2002-200000-2000200-2220000000000-20002000000000-2020000
χ4922-222-222222002-22-2-22-22-22-2220000-200-2200002000-2000-22-20000000002000-2000000000-20200000
χ5022-222-222222002-22-2-22-22-22-2220000-200-220000-20002000-22-2000000000-2000200000000020-200000
χ5122-222-2222-2-2002-22-2-22-222-22-2-20000-200-2200002000-20002-220000000002000-200000000020-200000
χ5222-222-2222-2-2002-22-2-22-222-22-2-20000-200-220000-200020002-22000000000-20002000000000-20200000
χ534444-2-4-4-24004-4-24-2-222-4-4000004-4-22-20022000000000000000-2200000000000000000000000000000
χ544444-2-4-4-2400-44-24-2-222-4-400000-442-2-200220000000000000002-200000000000000000000000000000
χ55444-2-244-2-200441-21-2-2-2-2-200000-2-2-2-214411-2-2-2-20000000000011-2-2111100000000000000000000000
χ56444-2-244-2-200441-21-2-2-2-2-200000-2-2-2-21-4-4112222000000000001122-1-1-1-100000000000000000000000
χ57444-2-244-2-200-4-41-21-2-2-2-2-200000222214-411-2-22200000000000-1-1-2211-1-100000000000000000000000
χ58444-2-244-2-200-4-41-21-2-2-2-2-20000022221-441122-2-200000000000-1-12-2-1-11100000000000000000000000
χ59444-2-2-4-4-2-2004-41-21-2222200000-22-22100-1-123−2323−23000000000001-100−33−3300000000000000000000000
χ60444-2-2-4-4-2-2004-41-21-2222200000-22-22100-1-1−2323−2323000000000001-1003−33−300000000000000000000000
χ61444-2-2-4-4-2-200-441-21-22222000002-22-2100-1-123−23−232300000000000-1100−333−300000000000000000000000
χ62444-2-2-4-4-2-200-441-21-22222000002-22-2100-1-1−232323−2300000000000-11003−3−3300000000000000000000000
χ6344-44-24-4-240000-2-4-22-224-4000000000200-22000004000-4000000000000000-200020000000000000000
χ6444-44-24-4-240000-2-4-22-224-4000000000200-2200000-400040000000000000002000-20000000000000000
χ6544-44-2-44-240000-2-4-222-2-440000000002002-200004000-4000000000000000-2000200000000000000000
χ6644-44-2-44-240000-2-4-222-2-440000000002002-20000-400040000000000000002000-200000000000000000
χ6744-4-244-44-24400-22-2-44-4-224-4-4-2-20000200-22000000000000-2220000000000000000000000000000000
χ6844-4-244-44-2-4-400-22-2-44-4-22-444220000200-220000000000002-2-20000000000000000000000000000000
χ6944-4-24-444-24400-22-2-4-442-2-44-4-2-200002002-20000000000002-220000000000000000000000000000000
χ7044-4-24-444-2-4-400-22-2-4-442-24-442200002002-2000000000000-22-20000000000000000000000000000000
χ714-404400-4-44i−4i0040-4000000004i−4i00000000000000000002-2000000000000000000002-2000000002i−2i00
χ724-404400-4-44i−4i0040-4000000004i−4i0000000000000000000-2200000000000000000000-2200000000−2i2i00
χ734-404400-4-4−4i4i0040-400000000−4i4i00000000000000000002-2000000000000000000002-200000000−2i2i00
χ744-404400-4-4−4i4i0040-400000000−4i4i0000000000000000000-2200000000000000000000-22000000002i−2i00
χ7588-8-4-48-8-4-400002424-44-44000000000-2002-20000000000000000000000000000000000000000000000
χ7688-8-4-4-88-4-4000024244-44-4000000000-200-220000000000000000000000000000000000000000000000
χ778-808-4004-80000-404000000000000000000000000000004-400000000000000000000-22000000000000
χ788-808-4004-80000-40400000000000000000000000000000-44000000000000000000002-2000000000000
χ798-80-4800-848i−8i00-40400000000−4i4i0000000000000000000000000000000000000000000000000000000
χ808-80-4800-84−8i8i00-404000000004i−4i0000000000000000000000000000000000000000000000000000000
χ8116-160-8-80088000040-400000000000000000000000000000000000000000000000000000000000000000

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