Finite Group Databasebeta

← Group #11797926

Character table — Group #11797926

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222444444444444444444444444448888888888888888888824242424242424242424242424242424242424242424242472727272
order12233446612121212344666668888121212121212242424242424242412121212121212122424242424242424242424242466881212161616162424242448484848484848484444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111
χ811111111111111-1-111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1
χ911-1111-11111-1-11i−i-1-11-1-1i−i1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−i111-1-1-1iii−i−i−i1-111i−i-1-11-1i−iii−i−i11-1-1ii−i−i1-1i−i
χ1011-1111-11111-1-11i−i-1-11-1-1i−i1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−i111-1-1-1iii−i−i−i1-111i−i-1-1-11−iiii−i−i-1-111−i−iii-11−ii
χ1111-1111-11111-1-11i−i-1-11-1-1i−i1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−i111-1-1-1iii−i−i−i-11-1-1−ii111-1i−i−i−iii11-1-1ii−i−i-11−ii
χ1211-1111-11111-1-11i−i-1-11-1-1i−i1-1-1111-1-1ii−i−i11-1-1iiii−i−i−i−i111-1-1-1iii−i−i−i-11-1-1−ii11-11−ii−i−iii-1-111−i−iii1-1i−i
χ1311-1111-11111-1-11−ii-1-11-1-1−ii1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiii111-1-1-1−i−i−iiii1-111−ii-1-11-1−ii−i−iii11-1-1−i−iii1-1−ii
χ1411-1111-11111-1-11−ii-1-11-1-1−ii1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiii111-1-1-1−i−i−iiii1-111−ii-1-1-11i−i−i−iii-1-111ii−i−i-11i−i
χ1511-1111-11111-1-11−ii-1-11-1-1−ii1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiii111-1-1-1−i−i−iiii-11-1-1i−i111-1−iiii−i−i11-1-1−i−iii-11i−i
χ1611-1111-11111-1-11−ii-1-11-1-1−ii1-1-1111-1-1−i−iii11-1-1−i−i−i−iiiii111-1-1-1−i−i−iiii-11-1-1i−i11-11i−iii−i−i-1-111ii−i−i1-1−ii
χ17222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222222222-2-22222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000
χ192222-1222-122-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-1-1-1-12-1-12-1-122-1-122-1-10000-1-1-1-1000000000000
χ202222-1222-122-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-1-1-1-12-1-12-1-1-2-211-2-21100001111000000000000
χ212222-1222-122-1-1-1222-1-1-1-1-2-2-2-22-1-1-1-1-11111-2-2-2-22-1-1-12-1-1-1111111-211-21100−i3i300−i3i30000−i3i3−i3i3000000000000
χ222222-1222-122-1-1-1222-1-1-1-1-2-2-2-22-1-1-1-1-11111-2-2-2-22-1-1-12-1-1-1111111-211-21100i3−i300i3−i30000i3−i3i3−i3000000000000
χ232222-1222-122-1-1-1-2-22-1-1-1-122-2-22-1-1-1-1-1-1-1-1-1-2-2-2-2-2111-21111111112-1-12-1-100−i3i300−i3i30000i3−i3i3−i3000000000000
χ242222-1222-122-1-1-1-2-22-1-1-1-122-2-22-1-1-1-1-1-1-1-1-1-2-2-2-2-2111-21111111112-1-12-1-100i3−i300i3−i30000−i3i3−i3i3000000000000
χ252222-1222-122-1-1-1-2-22-1-1-1-1-2-2222-1-1-1-1-111112222-2111-2111-1-1-1-1-1-1-211-21122-1-1-2-2-1-100001111000000000000
χ262222-1222-122-1-1-1-2-22-1-1-1-1-2-2222-1-1-1-1-111112222-2111-2111-1-1-1-1-1-1-211-211-2-21122110000-1-1-1-1000000000000
χ27222-1222-12-1-122-122-12-1-1-12222-12-1-1-1-12222-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000
χ28222-1222-12-1-122-122-12-1-1-12222-12-1-1-1-12222-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-1-1-1-1-100000000-2-2-2-20000111111110000
χ29222-1222-12-1-122-122-12-1-1-1-2-2-2-2-12-1-1-1-1-2-2-2-21111-12-1-1-12-1-1-211-21111111100000000000000003−33−33−33−30000
χ30222-1222-12-1-122-122-12-1-1-1-2-2-2-2-12-1-1-1-1-2-2-2-21111-12-1-1-12-1-1-211-2111111110000000000000000−33−33−33−330000
χ31222-1222-12-1-122-1-2-2-12-1-1-122-2-2-12-1-1-1-1222211111-2111-211-211-211-1-1-1-1-1-100000000000000003−33−3−33−330000
χ32222-1222-12-1-122-1-2-2-12-1-1-122-2-2-12-1-1-1-1222211111-2111-211-211-211-1-1-1-1-1-10000000000000000−33−333−33−30000
χ33222-1222-12-1-122-1-2-2-12-1-1-1-2-222-12-1-1-1-1-2-2-2-2-1-1-1-11-2111-2112-1-12-1-11111110000000022-2-20000-1-1-1-111110000
χ34222-1222-12-1-122-1-2-2-12-1-1-1-2-222-12-1-1-1-1-2-2-2-2-1-1-1-11-2111-2112-1-12-1-111111100000000-2-22200001111-1-1-1-10000
χ3522-2222-22222-2-222i−2i-2-22-2-2−2i2i-22-2222-2-2−2i−2i2i2i-2-2222i2i2i2i−2i−2i−2i−2i-2-2-2222−2i−2i−2i2i2i2i0000000000000000000000000000
χ3622-2222-22222-2-22−2i2i-2-22-2-22i−2i-22-2222-2-22i2i−2i−2i-2-222−2i−2i−2i−2i2i2i2i2i-2-2-22222i2i2i−2i−2i−2i0000000000000000000000000000
χ3722-22-12-22-12211-12i−2i-21-1112i−2i2-2-2-1-1-111−i−iii22-2-22i−i−i−i−2iiii-1-1-11112i−i−i−2iii2-2-1-12i−2i110000−i−iii000000000000
χ3822-22-12-22-12211-12i−2i-21-1112i−2i2-2-2-1-1-111−i−iii22-2-22i−i−i−i−2iiii-1-1-11112i−i−i−2iii-2211−2i2i-1-10000ii−i−i000000000000
χ3922-22-12-22-12211-12i−2i-21-111−2i2i-22-2-1-1-111ii−i−i-2-2222i−i−i−i−2iiii111-1-1-1−2iii2i−i−i00−i3i300i3−i300003−3−33000000000000
χ4022-22-12-22-12211-12i−2i-21-111−2i2i-22-2-1-1-111ii−i−i-2-2222i−i−i−i−2iiii111-1-1-1−2iii2i−i−i00i3−i300−i3i30000−333−3000000000000
χ4122-22-12-22-12211-1−2i2i-21-1112i−2i-22-2-1-1-111−i−iii-2-222−2iiii2i−i−i−i111-1-1-12i−i−i−2iii00−i3i300i3−i30000−333−3000000000000
χ4222-22-12-22-12211-1−2i2i-21-1112i−2i-22-2-1-1-111−i−iii-2-222−2iiii2i−i−i−i111-1-1-12i−i−i−2iii00i3−i300−i3i300003−3−33000000000000
χ4322-22-12-22-12211-1−2i2i-21-111−2i2i2-2-2-1-1-111ii−i−i22-2-2−2iiii2i−i−i−i-1-1-1111−2iii2i−i−i2-2-1-1−2i2i110000ii−i−i000000000000
χ4422-22-12-22-12211-1−2i2i-21-111−2i2i2-2-2-1-1-111ii−i−i22-2-2−2iiii2i−i−i−i-1-1-1111−2iii2i−i−i-22112i−2i-1-10000−i−iii000000000000
χ4522-2-122-2-12-1-1-2-2-12i−2i1-2-1112i−2i2-212-1-1112i2i−2i−2i-1-111−i2i−i−ii−2iii2-1-1-211−i−i−iiii000000002-22i−2i0000-1-111−i−iii0000
χ4622-2-122-2-12-1-1-2-2-12i−2i1-2-1112i−2i2-212-1-1112i2i−2i−2i-1-111−i2i−i−ii−2iii2-1-1-211−i−i−iiii00000000-22−2i2i000011-1-1ii−i−i0000
χ4722-2-122-2-12-1-1-2-2-12i−2i1-2-111−2i2i-2212-1-111−2i−2i2i2i11-1-1−i2i−i−ii−2iii-2112-1-1iii−i−i−i00000000000000003−3−33i3−i3−i3i30000
χ4822-2-122-2-12-1-1-2-2-12i−2i1-2-111−2i2i-2212-1-111−2i−2i2i2i11-1-1−i2i−i−ii−2iii-2112-1-1iii−i−i−i0000000000000000−333−3−i3i3i3−i30000
χ4922-2-122-2-12-1-1-2-2-1−2i2i1-2-1112i−2i-2212-1-1112i2i−2i−2i11-1-1i−2iii−i2i−i−i-2112-1-1−i−i−iiii00000000000000003−3−33−i3i3i3−i30000
χ5022-2-122-2-12-1-1-2-2-1−2i2i1-2-1112i−2i-2212-1-1112i2i−2i−2i11-1-1i−2iii−i2i−i−i-2112-1-1−i−i−iiii0000000000000000−333−3i3−i3−i3i30000
χ5122-2-122-2-12-1-1-2-2-1−2i2i1-2-111−2i2i2-212-1-111−2i−2i2i2i-1-111i−2iii−i2i−i−i2-1-1-211iii−i−i−i000000002-2−2i2i0000-1-111ii−i−i0000
χ5222-2-122-2-12-1-1-2-2-1−2i2i1-2-111−2i2i2-212-1-111−2i−2i2i2i-1-111i−2iii−i2i−i−i2-1-1-211iii−i−i−i00000000-222i−2i000011-1-1−i−iii0000
χ5344444-4-444-4-4-4-4400444440000-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000
χ544444-2-4-44-2-4-422-2004-2-2-2-20000-42222223−2323−23000000000000000000023−23023−230000000000000000000000000000
χ554444-2-4-44-2-4-422-2004-2-2-2-20000-422222−2323−23230000000000000000000−23230−23230000000000000000000000000000
χ56444-24-4-4-2422-4-4-200-24-2-2-200002-42222000023−2323−2300000000023−23023−230000000000000000000000000000000000
χ57444-24-4-4-2422-4-4-200-24-2-2-200002-422220000−2323−2323000000000−23230−23230000000000000000000000000000000000
χ58444-2-244-2-2-2-2-2-2144-2-21114444-2-21111-2-2-2-2-2-2-2-2-2-211-2-211-211-211-211-2110000000000000000000000000000
χ59444-2-244-2-2-2-2-2-2144-2-2111-4-4-4-4-2-2111122222222-2-211-2-2112-1-12-1-12-1-12-1-10000000000000000000000000000
χ60444-2-244-2-2-2-2-2-21-4-4-2-211144-4-4-2-21111-2-2-2-2222222-1-122-1-12-1-12-1-1-211-2110000000000000000000000000000
χ61444-2-244-2-2-2-2-2-21-4-4-2-2111-4-444-2-211112222-2-2-2-222-1-122-1-1-211-2112-1-12-1-10000000000000000000000000000
χ62444-2-2-4-4-2-22222100-2-2111000022-1-1-1-123−2323−2323−2323−23003-3003-30−330−330−330−330000000000000000000000000000
χ63444-2-2-4-4-2-22222100-2-2111000022-1-1-1-123−2323−23−2323−232300-3300-3303−303−30−330−330000000000000000000000000000
χ64444-2-2-4-4-2-22222100-2-2111000022-1-1-1-1−2323−232323−2323−2300-3300-330−330−3303−303−30000000000000000000000000000
χ65444-2-2-4-4-2-22222100-2-2111000022-1-1-1-1−2323−2323−2323−2323003-3003-303−303−303−303−30000000000000000000000000000
χ6644-444-4444-4-444400-4-44-4-400004-4-4-44400000000000000000000000000000000000000000000000000000000
χ6744-44-2-444-2-4-4-2-2-200-42-22200004222-2-2−2i32i32i3−2i30000000000000000000−2i32i302i3−2i30000000000000000000000000000
χ6844-44-2-444-2-4-4-2-2-200-42-22200004222-2-22i3−2i3−2i32i300000000000000000002i3−2i30−2i32i30000000000000000000000000000
χ6944-4-24-44-242244-2002-4-2220000-2-422-2-2000023−23−232300000000023−230−23230000000000000000000000000000000000
χ7044-4-24-44-242244-2002-4-2220000-2-422-2-20000−232323−23000000000−2323023−230000000000000000000000000000000000
χ7144-4-2-24-4-2-2-2-22214i−4i221-1-14i−4i4-42-211-1-1−2i−2i2i2i-2-222−2i−2iii2i2i−i−i-2112-1-1−2iii2i−i−i0000000000000000000000000000
χ7244-4-2-24-4-2-2-2-22214i−4i221-1-1−4i4i-442-211-1-12i2i−2i−2i22-2-2−2i−2iii2i2i−i−i2-1-1-2112i−i−i−2iii0000000000000000000000000000
χ7344-4-2-24-4-2-2-2-2221−4i4i221-1-14i−4i-442-211-1-1−2i−2i2i2i22-2-22i2i−i−i−2i−2iii2-1-1-211−2iii2i−i−i0000000000000000000000000000
χ7444-4-2-24-4-2-2-2-2221−4i4i221-1-1−4i4i4-42-211-1-12i2i−2i−2i-2-2222i2i−i−i−2i−2iii-2112-1-12i−i−i−2iii0000000000000000000000000000
χ7544-4-2-2-44-2-222-2-2100221-1-10000-22-1-111−2i32i32i3−2i323−23−232300−3i3i003i−3i0−3303−30i3−i30−i3i30000000000000000000000000000
χ7644-4-2-2-44-2-222-2-2100221-1-10000-22-1-111−2i32i32i3−2i3−232323−23003i−3i00−3i3i03−30−330i3−i30−i3i30000000000000000000000000000
χ7744-4-2-2-44-2-222-2-2100221-1-10000-22-1-1112i3−2i3−2i32i323−23−2323003i−3i00−3i3i0−3303−30−i3i30i3−i30000000000000000000000000000
χ7844-4-2-2-44-2-222-2-2100221-1-10000-22-1-1112i3−2i3−2i32i3−232323−2300−3i3i003i−3i03−30−330−i3i30i3−i30000000000000000000000000000
χ798-808800-8-8000080000-800000000000000000000000000000000000000000000000000000000000000000000
χ808-808-400-840043−43-400004000000000043−4300000000000000000000000000000000000000000000000000000000
χ818-808-400-8400−4343-4000040000000000−434300000000000000000000000000000000000000000000000000000000
χ828-80-48004-843−4300-4000040000000043−430000000000000000000000000000000000000000000000000000000000
χ838-80-48004-8−434300-40000400000000−43430000000000000000000000000000000000000000000000000000000000
χ848-80-4-4004443−4343−4320000-26-6000000−2323−232300000000000000000000000000000000000000000000000000000000
χ858-80-4-4004443−43−434320000-2-66000000−232323−2300000000000000000000000000000000000000000000000000000000
χ868-80-4-40044−434343−4320000-2-6600000023−23−232300000000000000000000000000000000000000000000000000000000
χ878-80-4-40044−4343−434320000-26-600000023−2323−2300000000000000000000000000000000000000000000000000000000

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