Finite Group Databasebeta

← Group #11786624

Character table — Group #11786624

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444444444881212121212121212121212122424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-111-1-1i−ii−ii−i1-1i−i11-1-1i−iii−i−i11-1-1i−ii−iii−i−i
χ1011-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-111-1-1−ii−ii−ii1-1−ii11-1-1−ii−i−iii11-1-1−ii−ii−i−iii
χ1111-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1-1-111i−ii−ii−i-11i−i-1-111i−iii−i−i-1-111−ii−ii−i−iii
χ1211-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-11-11-111111111-1-1-1-1-1-1-1-1-1-111−ii−ii−ii-11−ii-1-111−ii−i−iii-1-111i−ii−iii−i−i
χ1311-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11111111111-1-1i−ii−i−ii-11i−i11-1-1i−i−i−iii-1-111i−ii−i−i−iii
χ1411-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11111111111-1-1−ii−iii−i-11−ii11-1-1−iiii−i−i-1-111−ii−iiii−i−i
χ1511-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111-1-111i−ii−i−ii1-1i−i-1-111i−i−i−iii11-1-1−ii−iiii−i−i
χ1611-1-11-111-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-111111111-1-111−ii−iii−i1-1−ii-1-111−iiii−i−i11-1-1i−ii−i−i−iii
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-200000000002-22-2000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-220000000000-22-22000000000000000000
χ192222222-1222222-1-12-1-12-12-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022222200-1-10000-1-1-1-1-1-1000000000000
χ202222222-1222222-1-12-1-12-12-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-200110000111111000000000000
χ212222222-1222222-1-12-1-12-12-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-211111100002222-2-200-1-10000-1-11111000000000000
χ222222222-1222222-1-12-1-12-12-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-2220011000011-1-1-1-1000000000000
χ23222222-122222-1-122-12-1-12-12-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122220000002200-1-1-1-1000000-1-1-1-100000000
χ24222222-122222-1-122-12-1-12-12-1-1-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-2001111000000111100000000
χ25222222-122222-1-122-12-1-12-12-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-211112222000000-2-200-1-1-1-1000000111100000000
χ26222222-122222-1-122-12-1-12-12-1-1-1222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-200000022001111000000-1-1-1-100000000
χ27222222-12-2-2-2-2-1-122-12-1-12-12-1-1-1-2-2-21111-21111-1-100113−30033−3−33−30033−3−32-22-20000000000-11-110000003−33−300000000
χ28222222-12-2-2-2-2-1-122-12-1-12-12-1-1-1-2-2-21111-21111-1-100113−30033−3−33−30033−3−3-22-2200000000001-11-1000000−33−3300000000
χ29222222-12-2-2-2-2-1-122-12-1-12-12-1-1-1-2-2-21111-21111-1-10011−3300−3−333−3300−3−3332-22-20000000000-11-11000000−33−3300000000
χ30222222-12-2-2-2-2-1-122-12-1-12-12-1-1-1-2-2-21111-21111-1-10011−3300−3−333−3300−3−333-22-2200000000001-11-10000003−33−300000000
χ312222-2-2222-22-22222222-2-2-2-2222-22-22-2222222-2-2-200-2-20000000000000000000022-2-20000220000-2-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-2222-22-22-2222222-2-2-200-2-200000000000000000000-2-2220000-2-20000220000000000000000
χ332222-2-222-22-222222222-2-2-2-22222-22-22-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000000022-2-20000
χ342222-2-222-22-222222222-2-2-2-22222-22-22-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-2-2220000
χ352222-2-22-12-22-222-1-12-1-1-21-21-1-1-11-112-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000022-2-20000-1-1000011−i3i3−i3i3000000000000
χ362222-2-22-12-22-222-1-12-1-1-21-21-1-1-11-112-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000-2-2220000110000-1-1i3−i3i3−i3000000000000
χ372222-2-22-12-22-222-1-12-1-1-21-21-1-1-11-112-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000022-2-20000-1-1000011i3−i3i3−i3000000000000
χ382222-2-22-12-22-222-1-12-1-1-21-21-1-1-11-112-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000-2-2220000110000-1-1−i3i3−i3i3000000000000
χ3922-2-22-22222-2-2-2-22-22-2222-2-2-2-22-2222222-2-2-2-2-22-200-2200000000000000002-2-2200000000002-2-22000000000000000000
χ4022-2-22-22222-2-2-2-22-22-2222-2-2-2-22-2222222-2-2-2-2-22-200-220000000000000000-222-20000000000-222-2000000000000000000
χ4122-2-22-22-1-2-222-2-2-1121-12-1-2111-1-111-2-211-12-1-12-112-2-1122-1-1-1-1-1-1-2-211111100002i−2i2i−2i2i−2i00−ii0000−ii−i−iii000000000000
χ4222-2-22-22-1-2-222-2-2-1121-12-1-2111-1-111-2-211-12-1-12-112-2-1122-1-1-1-1-1-1-2-21111110000−2i2i−2i2i−2i2i00i−i0000i−iii−i−i000000000000
χ4322-2-22-22-1-2-222-2-2-1121-12-1-2111-1-111-2-211-12-1-12-11-22-11-2-211111122-1-1-1-1-1-100002i−2i2i−2i−2i2i00−ii0000−iiii−i−i000000000000
χ4422-2-22-22-1-2-222-2-2-1121-12-1-2111-1-111-2-211-12-1-12-11-22-11-2-211111122-1-1-1-1-1-10000−2i2i−2i2i2i−2i00i−i0000i−i−i−iii000000000000
χ4522-2-22-2-1222-2-2112-2-1-2-1-121-211-1-222-1-1-1-1-21111-11001-13−30033−3−3−3300−3−3332-2-220000000000-111-10000003−3−3300000000
χ4622-2-22-2-1222-2-2112-2-1-2-1-121-211-1-222-1-1-1-1-21111-11001-13−30033−3−3−3300−3−333-222-200000000001-1-11000000−333−300000000
χ4722-2-22-2-1222-2-2112-2-1-2-1-121-211-1-222-1-1-1-1-21111-11001-1−3300−3−3333−30033−3−32-2-220000000000-111-1000000−333−300000000
χ4822-2-22-2-1222-2-2112-2-1-2-1-121-211-1-222-1-1-1-1-21111-11001-1−3300−3−3333−30033−3−3-222-200000000001-1-110000003−3−3300000000
χ4922-2-22-2-12-2-222112-2-1-2-1-121-211-12-2-211112-1-1-1-1-112-2-11-1-122-1-1-1-111-2-2111122-2-20000002-200-1-111000000-1-11100000000
χ5022-2-22-2-12-2-222112-2-1-2-1-121-211-12-2-211112-1-1-1-1-112-2-11-1-122-1-1-1-111-2-21111-2-222000000-220011-1-100000011-1-100000000
χ5122-2-22-2-12-2-222112-2-1-2-1-121-211-12-2-211112-1-1-1-1-11-22-1111-2-21111-1-122-1-1-1-122-2-2000000-2200-1-11100000011-1-100000000
χ5222-2-22-2-12-2-222112-2-1-2-1-121-211-12-2-211112-1-1-1-1-11-22-1111-2-21111-1-122-1-1-1-1-2-2220000002-20011-1-1000000-1-11100000000
χ5322-2-2-22222-2-22-2-22-22-22-2-222-2-2222-22-222-2-2-2-22-22002-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ5422-2-2-22222-2-22-2-22-22-22-2-222-2-2222-22-222-2-2-2-22-22002-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ5522-2-2-2222-222-2-2-22-22-22-2-222-2-22-2-22-22-2-22222-2-2200-22000000000000000000002i−2i−2i2i00002i−2i0000−2i2i0000000000000000
χ5622-2-2-2222-222-2-2-22-22-22-2-222-2-22-2-22-22-2-22222-2-2200-2200000000000000000000−2i2i2i−2i0000−2i2i00002i−2i0000000000000000
χ5722-2-2-222-1-222-2-2-2-1121-1-212-111-111-1-2211-12-1-1-21-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002i−2i−2i2i0000−ii0000i−i3−3−33000000000000
χ5822-2-2-222-1-222-2-2-2-1121-1-212-111-111-1-2211-12-1-1-21-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000−2i2i2i−2i0000i−i0000−ii−333−3000000000000
χ5922-2-2-222-1-222-2-2-2-1121-1-212-111-111-1-2211-12-1-1-21-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002i−2i−2i2i0000−ii0000i−i−333−3000000000000
χ6022-2-2-222-1-222-2-2-2-1121-1-212-111-111-1-2211-12-1-1-21-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000−2i2i2i−2i0000i−i0000−ii3−3−33000000000000
χ614444444-2-4-4-4-444-2-24-2-24-24-2-2-2-2222-4-4222-422-4-2-200220000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ664444-4-44-2-44-4444-2-24-2-2-42-42-2-2-2-22-2-44222-42242200-2-20000000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-244-24-22-42-4-2-2-2-44-4-22-2-24-2-2-222200220000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-244-24-22-42-4-2-2-24-442-222-4222-22200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2122221112-22-2211-2-2112-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2122221112-22-2211-2-2112-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222111-22-22-2-1-122-1-1-2-1-1001100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222111-22-22-2-1-122-1-1-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ7344-4-44-44-244-4-4-4-4-2242-24-2-4222-22-2-244-2-22-422-4-22002-20000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-422-22-221-2-222-1-112-2-2-2-21122-1-121-100-1123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-422-22-221-2-222-1-112-2-2-2-21122-1-121-100-11−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-44422-22-221-2-222-1-11-22222-1-1-2-211-21-14-41-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-44422-22-221-2-222-1-11-22222-1-1-2-211-21-1-441-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7844-4-4-444-24-4-44-4-4-2242-2-424-222-2-2-224-4-2-22-42242-200-220000000000000000000000000000000000000000000000000000
χ7944-4-4-44-244-4-44224-4-2-4-22-4-2422-244-4-22-2-2-4222-22-200-220000000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-444-4224-4-2-4-22-4-2422-2-4-442-2224-2-2-222-2002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-4422-22-22122-2-2-1-11-2-22-221122-1-1-2-11001-100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ8244-4-4-44-2-24-4-4422-22-22122-2-2-1-11-2-22-221122-1-1-2-11001-10000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ8344-4-4-44-2-2-444-422-22-22122-2-2-1-1122-22-2-1-1-2-2112-1100-1100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ8444-4-4-44-2-2-444-422-22-22122-2-2-1-1122-22-2-1-1-2-2112-1100-11002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ854-44-4004400004-4-44-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000002-22-2
χ864-44-4004400004-4-44-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000-22-22
χ874-4-4400440000-44-4-4-4440000-44-40000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ884-4-4400440000-44-4-4-4440000-44-4000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ898-88-8008-400008-84-4-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-44-884-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-444-444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-444-444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8844-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-4-8-848-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-4444-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-4444-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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