Finite Group Databasebeta

← Group #11797928

Character table — Group #11797928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222444444444444444444444444448888888888888888888824242424242424242424242424242424242424242424242472727272
order1223344666612123446666888812121212121212121212122424242412121212121224242424242424242424242424242444446688121212121212121212122424242416161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ711111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-111
χ811111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1
χ911-1111-1-1-111-1-11i−i-11-1-1i−i1-1ii−i−i11-111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i1-11-1i−i11i−i-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ1011-1111-1-1-111-1-11i−i-11-1-1i−i1-1ii−i−i11-111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i1-1-11−ii11i−i-1-1−i−iii-1-111ii−i−i-11−ii
χ1111-1111-1-1-111-1-11i−i-11-1-1i−i1-1ii−i−i11-111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i-111-1i−i-1-1−ii11ii−i−i11-1-1−i−iii-11−ii
χ1211-1111-1-1-111-1-11i−i-11-1-1i−i1-1ii−i−i11-111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i-11-11−ii-1-1−ii11−i−iii-1-111−i−iii1-1i−i
χ1311-1111-1-1-111-1-11−ii-11-1-1−ii1-1−i−iii11-111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii1-11-1−ii11−ii-1-1−i−iii11-1-1−i−iii1-1−ii
χ1411-1111-1-1-111-1-11−ii-11-1-1−ii1-1−i−iii11-111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii1-1-11i−i11−ii-1-1ii−i−i-1-111−i−iii-11i−i
χ1511-1111-1-1-111-1-11−ii-11-1-1−ii1-1−i−iii11-111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii-111-1−ii-1-1i−i11−i−iii11-1-1ii−i−i-11i−i
χ1611-1111-1-1-111-1-11−ii-11-1-1−ii1-1−i−iii11-111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii-11-11i−i-1-1i−i11ii−i−i-1-111ii−i−i1-1−ii
χ1722222222222222222222-2-2-2-222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222222222-2-2222222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000
χ192222-12222-12-1-1-122-1-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1220000-1-122-1-100000000-1-1-1-10000
χ202222-12222-12-1-1-122-1-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-2-2000011-2-2110000000011110000
χ212222-12222-12-1-1-122-1-1-1-1-2-2-2-22222-122-1-1-1-11111-1-1-1-1-1-1-2111-2111-211-211000000−i3i300−i3i300000000−i3i3−i3i30000
χ222222-12222-12-1-1-122-1-1-1-1-2-2-2-22222-122-1-1-1-11111-1-1-1-1-1-1-2111-2111-211-211000000i3−i300i3−i300000000i3−i3i3−i30000
χ232222-12222-12-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1111111-2111-21112-1-12-1-1000000−i3i300−i3i300000000i3−i3i3−i30000
χ242222-12222-12-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1111111-2111-21112-1-12-1-1000000i3−i300i3−i300000000−i3i3−i3i30000
χ252222-12222-12-1-1-1-2-2-1-1-1-1-2-222-2-2-2-2-122-1-1-1-111111111112-1-1-12-1-1-1-211-211220000-1-1-2-2-1-10000000011110000
χ262222-12222-12-1-1-1-2-2-1-1-1-1-2-222-2-2-2-2-122-1-1-1-111111111112-1-1-12-1-1-1-211-211-2-2000011221100000000-1-1-1-10000
χ27222-1222-1-12-122-1222-1-1-12222-1-1-1-12-1-1-1-1-1-122222-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ28222-1222-1-12-122-1222-1-1-12222-1-1-1-12-1-1-1-1-1-122222-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ29222-1222-1-12-122-1222-1-1-1-2-2-2-2-1-1-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-11-2111-211111111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ30222-1222-1-12-122-1222-1-1-1-2-2-2-2-1-1-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-11-2111-211111111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ31222-1222-1-12-122-1-2-22-1-1-122-2-211112-1-1-1-1-1-12222-211-2111-2111-211-1-1-1-1-1-1000000000000−i3i3−i3i3i3−i3i3−i300000000
χ32222-1222-1-12-122-1-2-22-1-1-122-2-211112-1-1-1-1-1-12222-211-2111-2111-211-1-1-1-1-1-1000000000000i3−i3i3−i3−i3i3−i3i300000000
χ33222-1222-1-12-122-1-2-22-1-1-1-2-22211112-1-1-1-1-1-1-2-2-2-2-211-211-12-1-1-12-1-11111110022-2-20000001111-1-1-1-100000000
χ34222-1222-1-12-122-1-2-22-1-1-1-2-22211112-1-1-1-1-1-1-2-2-2-2-211-211-12-1-1-12-1-111111100-2-222000000-1-1-1-1111100000000
χ3522-2222-2-2-222-2-222i−2i-22-2-2−2i2i-222i2i−2i−2i22-222-2-2−2i−2i2i2i2i2i2i−2i−2i−2i-2-2-2-22222−2i−2i−2i2i2i2i0000000000000000000000000000
χ3622-2222-2-2-222-2-22−2i2i-22-2-22i−2i-22−2i−2i2i2i22-222-2-22i2i−2i−2i−2i−2i−2i2i2i2i-2-2-2-222222i2i2i−2i−2i−2i0000000000000000000000000000
χ3722-22-12-2-2-2-1211-12i−2i1-1112i−2i2-22i2i−2i−2i-12-2-1-111−i−iii−i−i−iiii2-1-1-1-21112i−i−i−2iii2-20000-1-12i−2i1100000000−i−iii0000
χ3822-22-12-2-2-2-1211-12i−2i1-1112i−2i2-22i2i−2i−2i-12-2-1-111−i−iii−i−i−iiii2-1-1-1-21112i−i−i−2iii-22000011−2i2i-1-100000000ii−i−i0000
χ3922-22-12-2-2-2-1211-12i−2i1-111−2i2i-222i2i−2i−2i-12-2-1-111ii−i−i−i−i−iiii-21112-1-1-1−2iii2i−i−i000000−i3i300i3−i3000000003−3−330000
χ4022-22-12-2-2-2-1211-12i−2i1-111−2i2i-222i2i−2i−2i-12-2-1-111ii−i−i−i−i−iiii-21112-1-1-1−2iii2i−i−i000000i3−i300−i3i300000000−333−30000
χ4122-22-12-2-2-2-1211-1−2i2i1-1112i−2i-22−2i−2i2i2i-12-2-1-111−i−iiiiii−i−i−i-21112-1-1-12i−i−i−2iii000000−i3i300i3−i300000000−333−30000
χ4222-22-12-2-2-2-1211-1−2i2i1-1112i−2i-22−2i−2i2i2i-12-2-1-111−i−iiiiii−i−i−i-21112-1-1-12i−i−i−2iii000000i3−i300−i3i3000000003−3−330000
χ4322-22-12-2-2-2-1211-1−2i2i1-111−2i2i2-2−2i−2i2i2i-12-2-1-111ii−i−iiii−i−i−i2-1-1-1-2111−2iii2i−i−i2-20000-1-1−2i2i1100000000ii−i−i0000
χ4422-22-12-2-2-2-1211-1−2i2i1-111−2i2i2-2−2i−2i2i2i-12-2-1-111ii−i−iiii−i−i−i2-1-1-1-2111−2iii2i−i−i-220000112i−2i-1-100000000−i−iii0000
χ4522-2-122-2112-1-2-2-12i−2i-2-1112i−2i2-2−i−iii2-11-1-1112i2i−2i−2i2i−i−i−2iii-12-1-11-211−i−i−iiii002-22i−2i000000−i−iii-1-11100000000
χ4622-2-122-2112-1-2-2-12i−2i-2-1112i−2i2-2−i−iii2-11-1-1112i2i−2i−2i2i−i−i−2iii-12-1-11-211−i−i−iiii00-22−2i2i000000ii−i−i11-1-100000000
χ4722-2-122-2112-1-2-2-12i−2i-2-111−2i2i-22−i−iii2-11-1-111−2i−2i2i2i2i−i−i−2iii1-211-12-1-1iii−i−i−i0000000000003−3−33−i3i3i3−i300000000
χ4822-2-122-2112-1-2-2-12i−2i-2-111−2i2i-22−i−iii2-11-1-111−2i−2i2i2i2i−i−i−2iii1-211-12-1-1iii−i−i−i000000000000−333−3i3−i3−i3i300000000
χ4922-2-122-2112-1-2-2-1−2i2i-2-1112i−2i-22ii−i−i2-11-1-1112i2i−2i−2i−2iii2i−i−i1-211-12-1-1−i−i−iiii0000000000003−3−33i3−i3−i3i300000000
χ5022-2-122-2112-1-2-2-1−2i2i-2-1112i−2i-22ii−i−i2-11-1-1112i2i−2i−2i−2iii2i−i−i1-211-12-1-1−i−i−iiii000000000000−333−3−i3i3i3−i300000000
χ5122-2-122-2112-1-2-2-1−2i2i-2-111−2i2i2-2ii−i−i2-11-1-111−2i−2i2i2i−2iii2i−i−i-12-1-11-211iii−i−i−i002-2−2i2i000000ii−i−i-1-11100000000
χ5222-2-122-2112-1-2-2-1−2i2i-2-111−2i2i2-2ii−i−i2-11-1-111−2i−2i2i2i−2iii2i−i−i-12-1-11-211iii−i−i−i00-222i−2i000000−i−iii11-1-100000000
χ5344444-4-44444-4-4400444400000000-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000
χ544444-2-4-444-2422-200-2-2-2-2000000002-4-4222223−2323−2300000000000000023−23023−230000000000000000000000000000
χ554444-2-4-444-2422-200-2-2-2-2000000002-4-42222−2323−2323000000000000000−23230−23230000000000000000000000000000
χ56444-24-4-4-2-24-2-4-4-2004-2-2-20000−2i32i3−2i32i3-422222200000−2i32i30−2i32i3000000000000000000000000000000000000000000
χ57444-24-4-4-2-24-2-4-4-2004-2-2-200002i3−2i32i3−2i3-4222222000002i3−2i302i3−2i3000000000000000000000000000000000000000000
χ58444-2-244-2-2-2-2-2-2144-21114444-2-2-2-2-2-2-21111-2-2-2-2-211-211-2-211-2-211-211-2110000000000000000000000000000
χ59444-2-244-2-2-2-2-2-2144-2111-4-4-4-4-2-2-2-2-2-2-211112222-211-21122-1-122-1-12-1-12-1-10000000000000000000000000000
χ60444-2-244-2-2-2-2-2-21-4-4-211144-4-42222-2-2-21111-2-2-2-22-1-12-1-122-1-122-1-1-211-2110000000000000000000000000000
χ61444-2-244-2-2-2-2-2-21-4-4-2111-4-4442222-2-2-2111122222-1-12-1-1-2-211-2-2112-1-12-1-10000000000000000000000000000
χ62444-2-2-4-4-2-2-2-222100-21110000−2i32i3−2i32i3222-1-1-1-123−2323−230i3−i30i3−i3003i−3i003i−3i0−330−330000000000000000000000000000
χ63444-2-2-4-4-2-2-2-222100-21110000−2i32i3−2i32i3222-1-1-1-1−2323−23230i3−i30i3−i300−3i3i00−3i3i03−303−30000000000000000000000000000
χ64444-2-2-4-4-2-2-2-222100-211100002i3−2i32i3−2i3222-1-1-1-123−2323−230−i3i30−i3i300−3i3i00−3i3i0−330−330000000000000000000000000000
χ65444-2-2-4-4-2-2-2-222100-211100002i3−2i32i3−2i3222-1-1-1-1−2323−23230−i3i30−i3i3003i−3i003i−3i03−303−30000000000000000000000000000
χ6644-444-44-4-44444400-44-4-400000000-4-44-4-4440000000000000000000000000000000000000000000000000000
χ6744-44-2-44-4-4-24-2-2-2002-222000000002-4422-2-2−2i32i32i3−2i3000000000000000−2i32i302i3−2i30000000000000000000000000000
χ6844-44-2-44-4-4-24-2-2-2002-222000000002-4422-2-22i3−2i3−2i32i30000000000000002i3−2i30−2i32i30000000000000000000000000000
χ6944-4-24-44224-244-200-4-222000023−23−2323-42-222-2-20000023−230−2323000000000000000000000000000000000000000000
χ7044-4-24-44224-244-200-4-2220000−232323−23-42-222-2-200000−2323023−23000000000000000000000000000000000000000000
χ7144-4-2-24-422-2-22214i−4i21-1-14i−4i4-4−2i−2i2i2i-2-2211-1-1−2i−2i2i2i−2iii2i−i−i-2-21122-1-1−2iii2i−i−i0000000000000000000000000000
χ7244-4-2-24-422-2-22214i−4i21-1-1−4i4i-44−2i−2i2i2i-2-2211-1-12i2i−2i−2i−2iii2i−i−i22-1-1-2-2112i−i−i−2iii0000000000000000000000000000
χ7344-4-2-24-422-2-2221−4i4i21-1-14i−4i-442i2i−2i−2i-2-2211-1-1−2i−2i2i2i2i−i−i−2iii22-1-1-2-211−2iii2i−i−i0000000000000000000000000000
χ7444-4-2-24-422-2-2221−4i4i21-1-1−4i4i4-42i2i−2i−2i-2-2211-1-12i2i−2i−2i2i−i−i−2iii-2-21122-1-12i−i−i−2iii0000000000000000000000000000
χ7544-4-2-2-4422-2-2-2-210021-1-1000023−23−232322-2-1-111−2i32i32i3−2i30−3303−300−3i3i003i−3i0i3−i30−i3i30000000000000000000000000000
χ7644-4-2-2-4422-2-2-2-210021-1-1000023−23−232322-2-1-1112i3−2i3−2i32i30−3303−3003i−3i00−3i3i0−i3i30i3−i30000000000000000000000000000
χ7744-4-2-2-4422-2-2-2-210021-1-10000−232323−2322-2-1-111−2i32i32i3−2i303−30−33003i−3i00−3i3i0i3−i30−i3i30000000000000000000000000000
χ7844-4-2-2-4422-2-2-2-210021-1-10000−232323−2322-2-1-1112i3−2i3−2i32i303−30−3300−3i3i003i−3i0−i3i30i3−i30000000000000000000000000000
χ798-80880000-8-8008000-8000000000000000000000000000000000000000000000000000000000000000000000
χ808-808-400004-843−43-4000400000000000000043−430000000000000000000000000000000000000000000000000000
χ818-808-400004-8−4343-40004000000000000000−43430000000000000000000000000000000000000000000000000000
χ828-80-4800−4i34i3-8400-40004−4i34i30000000000000000000000000000000000000000000000000000000000000000000
χ838-80-48004i3−4i3-8400-400044i3−4i30000000000000000000000000000000000000000000000000000000000000000000
χ848-80-4-400−4i34i34443−432000-22i3−2i3000000000006i−6i−23230000000000000000000000000000000000000000000000000000
χ858-80-4-400−4i34i344−43432000-22i3−2i300000000000−6i6i23−230000000000000000000000000000000000000000000000000000
χ868-80-4-4004i3−4i34443−432000-2−2i32i300000000000−6i6i−23230000000000000000000000000000000000000000000000000000
χ878-80-4-4004i3−4i344−43432000-2−2i32i3000000000006i−6i23−230000000000000000000000000000000000000000000000000000

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