Finite Group Databasebeta

← Group #11791882

Character table — Group #11791882

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212128888888844448888242424242424242424242424242424244444
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i11-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii11-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ182222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ192222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-211-1-1-1-11111111100002222000000-2-200000000-1-1-1-111110000
χ202222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-200000022000000001111-1-1-1-10000
χ212222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2112-222-1-1-2-2111111-1-1-1-1111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii0000
χ222222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2112-222-1-1-2-2111111-1-1-1-111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i0000
χ232222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211-22-2-21122-1-111111111-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i0000
χ242222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211-22-2-21122-1-111111111-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii0000
χ25222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ26222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ27222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-2-211-2-211-2-2-1-1-1-111111111222200000000-2-200-1-1-1-11111000000000000
χ28222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-2-211-2-211-2-2-1-1-1-111111111-2-2-2-20000000022001111-1-1-1-1000000000000
χ29222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-22-2-1-12211-2-21111-1-1-1-111112i2i−2i−2i000000002i−2i00−i−iii−i−iii000000000000
χ30222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-22-2-1-12211-2-21111-1-1-1-11111−2i−2i2i2i00000000−2i2i00ii−i−iii−i−i000000000000
χ31222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2-2211-2-2-1-12211111111-1-1-1-12i2i−2i−2i00000000−2i2i00−i−iiiii−i−i000000000000
χ32222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2-2211-2-2-1-12211111111-1-1-1-1−2i−2i2i2i000000002i−2i00ii−i−i−i−iii000000000000
χ332222-2-2222-2-222222222-2-2-2-22-2-2-2-2222-22-22-22-2000000000022-2-2000000000000000022-2-200000000000000000000-2200
χ342222-2-2222-2-222222222-2-2-2-22-2-2-2-2222-22-22-22-2000000000022-2-20000000000000000-2-222000000000000000000002-200
χ352222-2-222-222-22222222-2-2-2-22-2-2-2-222-22-22-22-220000000000-2-2220000000000000000222200000000000000000000-2-200
χ362222-2-222-222-22222222-2-2-2-22-2-2-2-222-22-22-22-220000000000-2-2220000000000000000-2-2-2-2000000000000000000002200
χ3722-2-22-22222-2-2-2-222-2-222-22-2-222-2-22-2222-2-2-2-2200000000002-22-20000000000002-22-200000000000000002-22-200000000
χ3822-2-22-22222-2-2-2-222-2-222-22-2-222-2-22-2222-2-2-2-2200000000002-22-2000000000000-22-220000000000000000-22-2200000000
χ3922-2-22-222-2-222-2-222-2-222-22-2-222-2-22-2-2-2-22222-20000000000-22-220000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4022-2-22-222-2-222-2-222-2-222-22-2-222-2-22-2-2-2-22222-20000000000-22-22000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4122-2-22-22-122-2-2-212-1-21-12-2-111-1-111-1122-11-2-21-100003−3003−3-11-1133−3−333−3−300002-22-20000000000000000-11-113−33−30000
χ4222-2-22-22-122-2-2-212-1-21-12-2-111-1-111-1122-11-2-21-100003−3003−3-11-1133−3−333−3−30000-22-2200000000000000001-11-1−33−330000
χ4322-2-22-22-122-2-2-212-1-21-12-2-111-1-111-1122-11-2-21-10000−3300−33-11-11−3−333−3−33300002-22-20000000000000000-11-11−33−330000
χ4422-2-22-22-122-2-2-212-1-21-12-2-111-1-111-1122-11-2-21-10000−3300−33-11-11−3−333−3−3330000-22-2200000000000000001-11-13−33−30000
χ4522-2-22-22-1-2-222-212-1-21-12-2-111-1-111-11-2-21-122-1100003−300−331-11-133−3−3−3−33300002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i30000
χ4622-2-22-22-1-2-222-212-1-21-12-2-111-1-111-11-2-21-122-1100003−300−331-11-133−3−3−3−3330000−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i30000
χ4722-2-22-22-1-2-222-212-1-21-12-2-111-1-111-11-2-21-122-110000−33003−31-11-1−3−33333−3−300002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i30000
χ4822-2-22-22-1-2-222-212-1-21-12-2-111-1-111-11-2-21-122-110000−33003−31-11-1−3−33333−3−30000−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i30000
χ4922-2-2-22222-22-2-2-222-2-22-22-22-2-2-2222-22-222-22-2-200000000002-2-22000000002-22-20000000000002-22-20000000000000000
χ5022-2-2-22222-22-2-2-222-2-22-22-22-2-2-2222-22-222-22-2-200000000002-2-2200000000-22-22000000000000-22-220000000000000000
χ5122-2-2-2222-22-22-2-222-2-22-22-22-2-2-2222-2-22-2-22-2220000000000-222-2000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ5222-2-2-2222-22-22-2-222-2-22-22-22-2-2-2222-2-22-2-22-2220000000000-222-200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ5322-2-2-22-122-22-21-2-121-2-11-1-22111-1-1-11-11221-1-2-2003−3003−300-111-13−33−33−33−32-22-2000000000000-11-113−33−3000000000000
χ5422-2-2-22-122-22-21-2-121-2-11-1-22111-1-1-11-11221-1-2-2003−3003−300-111-13−33−33−33−3-22-220000000000001-11-1−33−33000000000000
χ5522-2-2-22-122-22-21-2-121-2-11-1-22111-1-1-11-11221-1-2-200−3300−3300-111-1−33−33−33−332-22-2000000000000-11-11−33−33000000000000
χ5622-2-2-22-122-22-21-2-121-2-11-1-22111-1-1-11-11221-1-2-200−3300−3300-111-1−33−33−33−33-22-220000000000001-11-13−33−3000000000000
χ5722-2-2-22-12-22-221-2-121-2-11-1-22111-1-1-111-1-2-2-1122003−300−33001-1-113−33−3−33−332i−2i−2i2i000000000000−iii−ii3−i3−i3i3000000000000
χ5822-2-2-22-12-22-221-2-121-2-11-1-22111-1-1-111-1-2-2-1122003−300−33001-1-113−33−3−33−33−2i2i2i−2i000000000000i−i−ii−i3i3i3−i3000000000000
χ5922-2-2-22-12-22-221-2-121-2-11-1-22111-1-1-111-1-2-2-112200−33003−3001-1-11−33−333−33−32i−2i−2i2i000000000000−iii−i−i3i3i3−i3000000000000
χ6022-2-2-22-12-22-221-2-121-2-11-1-22111-1-1-111-1-2-2-112200−33003−3001-1-11−33−333−33−3−2i2i2i−2i000000000000i−i−iii3−i3−i3i3000000000000
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-2-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-442222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ654444-4-44-24-4-444-24-24-2-2-4-422-22222-2-24-4-224-4-220000000000-2-22200000000000000000000000000000000000000000000
χ664444-4-44-2-444-44-24-24-2-2-4-422-22222-2-2-442-2-442-2000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-24-24-24-222-4-4-22222-2-2-224-4-224-40000000000-2-22200000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-24-24-24-222-4-4-22222-2-22-2-442-2-44000000000022-2-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-22-22-22-22000000000011-1-13-3-333-3-33000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2122221-1-1-1-111-22-22-22-22000000000011-1-1-333-3-333-3000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-22-22-22-20000000000-1-1113-3-33-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221-1-1-1-1112-22-22-22-20000000000-1-111-333-33-3-33000000000000000000000000000000000000
χ7344-4-44-4-2444-4-42-4-242-4-2-224-42-2-222-22-2-24-422-440000000000-22-2200000000000000000000000000000000000000000000
χ7444-4-44-4-24-4-4442-4-242-4-2-224-42-2-222-2222-44-2-24-400000000002-22-200000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-422-2-2221-22-22-111-1-11-1-2-2-22222-2000023−230023−231-11-1−3−333−3−333000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-422-2-2221-22-22-111-1-11-1-2-2-22222-20000−232300−23231-11-133−3−333−3−3000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-44422-2-2221-22-22-111-1-11-1222-2-2-2-22000023−2300−2323-11-11−3−33333−3−3000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-44422-2-2221-22-22-111-1-11-1222-2-2-2-220000−23230023−23-11-1133−3−3−3−333000000000000000000000000000000000000
χ7944-4-4-444-24-44-4-424-2-42-2-442-2222-2-2-224-4-2-2-44220000000000-222-200000000000000000000000000000000000000000000
χ8044-4-4-444-2-44-44-424-2-42-2-442-2222-2-2-22-44224-4-2-200000000002-2-2200000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-422-2-22212-22-2-1-1-1111-1-22-2-22-2220023−230023−23001-1-11−33−33−33−33000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-422-2-22212-22-2-1-1-1111-1-22-2-22-22200−232300−2323001-1-113−33−33−33−3000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-4422-2-22212-22-2-1-1-1111-12-222-22-2-20023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-4422-2-22212-22-2-1-1-1111-12-222-22-2-200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000
χ854-44-40044000044-4-4-4-44000040000-4-4000000000000000000000000000000000000004-400000000000000000000000000
χ864-44-40044000044-4-4-4-44000040000-4-400000000000000000000000000000000000000-4400000000000000000000000000
χ874-4-4400440000-4-4-4-44440000-40000-4400000000000000000000000000000000000000004-4000000000000000000000000
χ884-4-4400440000-4-4-4-44440000-40000-440000000000000000000000000000000000000000-44000000000000000000000000
χ898-88-8008-400008-4-84-84-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-484-84-8-40000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4-444442000026-66-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4-44444200002-66-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-848-4-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-84-8-48-40000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004444-4-420000-26-6-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004444-4-420000-2-666-6-22000000000000000000000000000000000000000000000000000000000000000000

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