Finite Group Databasebeta

← Group #11791854

Character table — Group #11791854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222222223366666636666666666666666666446666121212121212121212121212121212124444444444444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ10111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii-11-11
χ11111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ12111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1
χ13111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i11-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ14111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i-111-1
χ15111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii-111-1
χ16111111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii11-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ1822222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ1922222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-1-2-2-1-1-1-1-2-211-2-2111111111100002222000000-2-200000000-1-1-1-111110000
χ2022222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-1-2-2-1-1-1-1-2-211-2-211111111110000-2-2-2-200000022000000001111-1-1-1-10000
χ212222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ222222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ232222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-122-2-2-1-1-1-111-2-211-2-211111111222200000000-2-200-1-1-1-11111000000000000
χ242222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-122-2-2-1-1-1-111-2-211-2-211111111-2-2-2-20000000022001111-1-1-1-1000000000000
χ25222222-2-2-2-22-12-122-1-1-122-1-1-2-211-1-1-1-1-1-1-1-2-2112-2111122-1-1-2-211-1-1-1-1111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii0000
χ26222222-2-2-2-22-12-122-1-1-122-1-1-2-211-1-1-1-1-1-1-1-2-2112-2111122-1-1-2-211-1-1-1-111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i0000
χ27222222-2-2-2-22-12-122-1-1-122-1-1-2-211-1-1-1-1-1-1-1-2-211-221111-2-21122-1-11111-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i0000
χ28222222-2-2-2-22-12-122-1-1-122-1-1-2-211-1-1-1-1-1-1-1-2-211-221111-2-21122-1-11111-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii0000
χ29222222-2-2-2-2-12-12-1-122-1-1-12211-2-2-1-1-1-1-1-1-111-2-22-21111-1-12211-2-2-1-1-1-111112i2i−2i−2i000000002i−2i00−i−iii−i−iii000000000000
χ30222222-2-2-2-2-12-12-1-122-1-1-12211-2-2-1-1-1-1-1-1-111-2-22-21111-1-12211-2-2-1-1-1-11111−2i−2i2i2i00000000−2i2i00ii−i−iii−i−i000000000000
χ31222222-2-2-2-2-12-12-1-122-1-1-12211-2-2-1-1-1-1-1-1-111-2-2-22111111-2-2-1-1221111-1-1-1-12i2i−2i−2i00000000−2i2i00−i−iiiii−i−i000000000000
χ32222222-2-2-2-2-12-12-1-122-1-1-12211-2-2-1-1-1-1-1-1-111-2-2-22111111-2-2-1-1221111-1-1-1-1−2i−2i2i2i000000002i−2i00ii−i−i−i−iii000000000000
χ332222-2-22-2-22222222222-2-2-2-22-22-22-2-2-2-2222-22-20022-2-200000000000000000000000022-2-200000000000000000000-2200
χ342222-2-22-2-22222222222-2-2-2-22-22-22-2-2-2-2222-22-20022-2-2000000000000000000000000-2-222000000000000000000002-200
χ352222-2-2-222-2222222222-2-2-2-2-22-222-2-2-2-222-22-2200-2-222000000000000000000000000222200000000000000000000-2-200
χ362222-2-2-222-2222222222-2-2-2-2-22-222-2-2-2-222-22-2200-2-222000000000000000000000000-2-2-2-2000000000000000000002200
χ3722-2-22-222-2-22222-2-2-2-222-22-2222-2222-2-2-2-2-2-2-22002-22-2000000000000000000002-22-200000000000000002-22-200000000
χ3822-2-22-222-2-22222-2-2-2-222-22-2222-2222-2-2-2-2-2-2-22002-22-200000000000000000000-22-220000000000000000-22-2200000000
χ3922-2-22-222-2-22-12-1-2-211-12-2-1122-11-1-1-11111-2-21-100-11-11003−3003−333−3−333−3−300002-22-20000000000000000-11-113−33−30000
χ4022-2-22-222-2-22-12-1-2-211-12-2-1122-11-1-1-11111-2-21-100-11-11003−3003−333−3−333−3−30000-22-2200000000000000001-11-1−33−330000
χ4122-2-22-222-2-22-12-1-2-211-12-2-1122-11-1-1-11111-2-21-100-11-1100−3300−33−3−333−3−33300002-22-20000000000000000-11-11−33−330000
χ4222-2-22-222-2-22-12-1-2-211-12-2-1122-11-1-1-11111-2-21-100-11-1100−3300−33−3−333−3−3330000-22-2200000000000000001-11-13−33−30000
χ4322-2-22-2-2-2222222-2-2-2-222-22-2-2-2-22222-2-2-2-2222-200-22-22000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4422-2-22-2-2-2222222-2-2-2-222-22-2-2-2-22222-2-2-2-2222-200-22-2200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4522-2-22-2-2-2222-12-1-2-211-12-2-11-2-21-1-1-1-1111122-11001-11-1003−300−3333−3−3−3−33300002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i30000
χ4622-2-22-2-2-2222-12-1-2-211-12-2-11-2-21-1-1-1-1111122-11001-11-1003−300−3333−3−3−3−3330000−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i30000
χ4722-2-22-2-2-2222-12-1-2-211-12-2-11-2-21-1-1-1-1111122-11001-11-100−33003−3−3−33333−3−300002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i30000
χ4822-2-22-2-2-2222-12-1-2-211-12-2-11-2-21-1-1-1-1111122-11001-11-100−33003−3−3−33333−3−30000−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i30000
χ4922-2-2-222-22-22222-2-2-2-22-22-222-2222-2-222-2-2-22-2-2002-2-2200000000000000002-22-20000000000002-22-20000000000000000
χ5022-2-2-222-22-22222-2-2-2-22-22-222-2222-2-222-2-2-22-2-2002-2-220000000000000000-22-22000000000000-22-220000000000000000
χ5122-2-2-222-22-2-12-1211-2-2-11-1-22-1122-111-1-1111-1-2-200-111-13−3003−3003−33−33−33−32-22-2000000000000-11-113−33−3000000000000
χ5222-2-2-222-22-2-12-1211-2-2-11-1-22-1122-111-1-1111-1-2-200-111-13−3003−3003−33−33−33−3-22-220000000000001-11-1−33−33000000000000
χ5322-2-2-222-22-2-12-1211-2-2-11-1-22-1122-111-1-1111-1-2-200-111-1−3300−3300−33−33−33−332-22-2000000000000-11-11−33−33000000000000
χ5422-2-2-222-22-2-12-1211-2-2-11-1-22-1122-111-1-1111-1-2-200-111-1−3300−3300−33−33−33−33-22-220000000000001-11-13−33−3000000000000
χ5522-2-2-22-22-222222-2-2-2-22-22-22-22-2-22-2-222-2-22-22200-222-200000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ5622-2-2-22-22-222222-2-2-2-22-22-22-22-2-22-2-222-2-22-22200-222-20000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ5722-2-2-22-22-22-12-1211-2-2-11-1-221-1-2-2-111-1-111-1122001-1-113−300−33003−33−3−33−332i−2i−2i2i000000000000−iii−ii3−i3−i3i3000000000000
χ5822-2-2-22-22-22-12-1211-2-2-11-1-221-1-2-2-111-1-111-1122001-1-113−300−33003−33−3−33−33−2i2i2i−2i000000000000i−i−ii−i3i3i3−i3000000000000
χ5922-2-2-22-22-22-12-1211-2-2-11-1-221-1-2-2-111-1-111-1122001-1-11−33003−300−33−333−33−32i−2i−2i2i000000000000−iii−i−i3i3i3−i3000000000000
χ6022-2-2-22-22-22-12-1211-2-2-11-1-221-1-2-2-111-1-111-1122001-1-11−33003−300−33−333−33−3−2i2i2i−2i000000000000i−i−iii3−i3−i3i3000000000000
χ614444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ63444444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-22222111111122224-4-1-1-1-1-2-2-2-222221111-1-1-1-1000000000000000000000000000000000000
χ64444444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2222211111112222-44-1-1-1-12222-2-2-2-2-1-1-1-11111000000000000000000000000000000000000
χ654444-4-44-4-444-24-244-2-2-2-4-4224-4-22-22222-2-24-4-2200-2-2220000000000000000000000000000000000000000000000000000
χ664444-4-44-4-44-24-24-2-244-222-4-4-224-4-22222-2-2-224-400-2-2220000000000000000000000000000000000000000000000000000
χ674444-4-44-4-44-2-2-2-2-2-2-2-212222-22-221-1-1-1-111-22-220011-1-1000000003-3-333-3-33000000000000000000000000000000000000
χ684444-4-44-4-44-2-2-2-2-2-2-2-212222-22-221-1-1-1-111-22-220011-1-100000000-333-3-333-3000000000000000000000000000000000000
χ694444-4-4-444-44-24-244-2-2-2-4-422-442-2-22222-2-2-442-20022-2-20000000000000000000000000000000000000000000000000000
χ704444-4-4-444-4-24-24-2-244-222-4-42-2-44-22222-2-22-2-440022-2-20000000000000000000000000000000000000000000000000000
χ714444-4-4-444-4-2-2-2-2-2-2-2-2122222-22-21-1-1-1-1112-22-200-1-111000000003-3-33-333-3000000000000000000000000000000000000
χ724444-4-4-444-4-2-2-2-2-2-2-2-2122222-22-21-1-1-1-1112-22-200-1-11100000000-333-33-3-33000000000000000000000000000000000000
χ7344-4-44-444-4-4-24-2422-4-4-2-224-4-2-24-4-2-2-2222222-4400-22-220000000000000000000000000000000000000000000000000000
χ7444-4-44-444-4-4-2-2-2-222221-22-22-2-2-22111-1-1-1-1222-2001-11-10023−230023−23−3−333−3−333000000000000000000000000000000000000
χ7544-4-44-444-4-4-2-2-2-222221-22-22-2-2-22111-1-1-1-1222-2001-11-100−232300−232333−3−333−3−3000000000000000000000000000000000000
χ7644-4-44-4-4-444-24-2422-4-4-2-224-422-44-2-2-22222-2-24-4002-22-20000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-444-2-2-2-222221-22-22222-2111-1-1-1-1-2-2-2200-11-110023−2300−2323−3−33333−3−3000000000000000000000000000000000000
χ7844-4-44-4-4-444-2-2-2-222221-22-22222-2111-1-1-1-1-2-2-2200-11-1100−23230023−2333−3−3−3−333000000000000000000000000000000000000
χ7944-4-4-444-44-44-24-2-4-422-2-442-24-4-2-2-222-2-222-442200-222-20000000000000000000000000000000000000000000000000000
χ8044-4-4-444-44-4-2-2-2-2222212-22-2-22-2-21-1-111-1-12-222001-1-1123−230023−2300−33−33−33−33000000000000000000000000000000000000
χ8144-4-4-444-44-4-2-2-2-2222212-22-2-22-2-21-1-111-1-12-222001-1-11−232300−2323003−33−33−33−3000000000000000000000000000000000000
χ8244-4-4-44-44-444-24-2-4-422-2-442-2-4422-222-2-2224-4-2-2002-2-220000000000000000000000000000000000000000000000000000
χ8344-4-4-44-44-44-2-2-2-2222212-22-22-2221-1-111-1-1-22-2-200-111-123−2300−232300−33−333−33−3000000000000000000000000000000000000
χ8444-4-4-44-44-44-2-2-2-2222212-22-22-2221-1-111-1-1-22-2-200-111-1−23230023−23003−33−3−33−33000000000000000000000000000000000000
χ854-44-400000044-4-44-44-4400000000-400004-40000000000000000000000000000000000004i−4i000000000000000000000000
χ864-44-400000044-4-44-44-4400000000-400004-4000000000000000000000000000000000000−4i4i000000000000000000000000
χ874-4-4400000044-4-4-44-44400000000-40000-4400000000000000000000000000000000004-400000000000000000000000000
χ884-4-4400000044-4-4-44-44400000000-40000-440000000000000000000000000000000000-4400000000000000000000000000
χ898-88-80000008-4-848-8-44-40000000040000-4400000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000-484-8-448-8-40000000040000-4400000000000000000000000000000000000000000000000000000000000000
χ918-88-8000000-4-444-44-44200000000-26-66-62-200000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-444-44-44200000000-2-66-662-200000000000000000000000000000000000000000000000000000000000000
χ938-8-880000008-4-84-884-4-400000000400004-400000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-84-4-88-400000000400004-400000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-4444-44-4200000000-26-6-66-2200000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-4444-44-4200000000-2-666-6-2200000000000000000000000000000000000000000000000000000000000000

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