Finite Group Databasebeta

← Group #11797974

Character table — Group #11797974

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222444444444444444444444444448888888888888888888824242424242424242424242424242424242424242424242472727272
order122334466661212344666688881212121212121212121212242424241212121212122424242424242424242424242424222444666666881212121212122424242416161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1
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
χ511111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ711111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1
χ911-1111-111-1-1-1-11i−i-11-1-1i−i1-1ii−i−i1-1111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i1-11-1i−i1111-1-1i−iii−i−i-1-1ii−i−i1-1i−i
χ1011-1111-111-1-1-1-11i−i-11-1-1i−i1-1ii−i−i1-1111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i1-1-11i−i-1-111-1-1−iiii−i−i11−i−iii-11−ii
χ1111-1111-111-1-1-1-11i−i-11-1-1i−i1-1ii−i−i1-1111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i-111-1−ii11-1-111i−i−i−iii-1-1ii−i−i-11−ii
χ1211-1111-111-1-1-1-11i−i-11-1-1i−i1-1ii−i−i1-1111-1-1ii−i−iiii−i−i−i1111-1-1-1-1iii−i−i−i-11-11−ii-1-1-1-111−ii−i−iii11−i−iii1-1i−i
χ1311-1111-111-1-1-1-11−ii-11-1-1−ii1-1−i−iii1-1111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii1-11-1−ii1111-1-1−ii−i−iii-1-1−i−iii1-1−ii
χ1411-1111-111-1-1-1-11−ii-11-1-1−ii1-1−i−iii1-1111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii1-1-11−ii-1-111-1-1i−i−i−iii11ii−i−i-11i−i
χ1511-1111-111-1-1-1-11−ii-11-1-1−ii1-1−i−iii1-1111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii-111-1i−i11-1-111−iiii−i−i-1-1−i−iii-11i−i
χ1611-1111-111-1-1-1-11−ii-11-1-1−ii1-1−i−iii1-1111-1-1−i−iii−i−i−iiii1111-1-1-1-1−i−i−iiii-11-11i−i-1-1-1-111i−iii−i−i11ii−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
χ192222-122-12-1-122-1222-1-1-12222-1-1-1-1-1-12-1-1-1-122222-1-12-1-12-1-1-12-1-1-1-1-1-1-1-1-122002200-1-1-1-100-1-1-1-10000000000
χ202222-122-12-1-122-1222-1-1-12222-1-1-1-1-1-12-1-1-1-122222-1-12-1-12-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-20011110011110000000000
χ212222-122-12-1-122-1222-1-1-1-2-2-2-2-1-1-1-1-1-12-1-1-1-1-2-2-2-22-1-12-1-1-2111-211111111100000000−i3i3−i3i300−i3i3−i3i30000000000
χ222222-122-12-1-122-1222-1-1-1-2-2-2-2-1-1-1-1-1-12-1-1-1-1-2-2-2-22-1-12-1-1-2111-211111111100000000i3−i3i3−i300i3−i3i3−i30000000000
χ232222-122-12-1-122-1-2-22-1-1-122-2-21111-1-12-1-1-1-12222-211-211-2111-2111-1-1-1-1-1-100000000−i3i3−i3i300i3−i3i3−i30000000000
χ242222-122-12-1-122-1-2-22-1-1-122-2-21111-1-12-1-1-1-12222-211-211-2111-2111-1-1-1-1-1-100000000i3−i3i3−i300−i3i3−i3i30000000000
χ252222-122-12-1-122-1-2-22-1-1-1-2-2221111-1-12-1-1-1-1-2-2-2-2-211-2112-1-1-12-1-1-11111112200-2-200-1-1-1-10011110000000000
χ262222-122-12-1-122-1-2-22-1-1-1-2-2221111-1-12-1-1-1-1-2-2-2-2-211-2112-1-1-12-1-1-1111111-2-2002200111100-1-1-1-10000000000
χ27222-12222-122-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12-1-12-1-1002200-1-10000220000-1-1-1-1-1-10000
χ28222-12222-122-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12-1-12-1-100-2-200110000-2-200001111110000
χ29222-12222-122-1-1-122-1-1-1-1-2-2-2-2222222-1-1-1-1-11111-1-1-1-1-1-11-2111-211-211-211000000−i3i30000000000−i3i3−i3i3−i3i30000
χ30222-12222-122-1-1-122-1-1-1-1-2-2-2-2222222-1-1-1-1-11111-1-1-1-1-1-11-2111-211-211-211000000i3−i30000000000i3−i3i3−i3i3−i30000
χ31222-12222-122-1-1-1-2-2-1-1-1-122-2-2-2-2-2-222-1-1-1-1-1-1-1-1-11111111-2111-2112-1-12-1-1000000−i3i30000000000−i3i3i3−i3i3−i30000
χ32222-12222-122-1-1-1-2-2-1-1-1-122-2-2-2-2-2-222-1-1-1-1-1-1-1-1-11111111-2111-2112-1-12-1-1000000i3−i30000000000i3−i3−i3i3−i3i30000
χ33222-12222-122-1-1-1-2-2-1-1-1-1-2-222-2-2-2-222-1-1-1-1-11111111111-12-1-1-12-1-1-211-211002200-1-10000-2-20000-1-111110000
χ34222-12222-122-1-1-1-2-2-1-1-1-1-2-222-2-2-2-222-1-1-1-1-11111111111-12-1-1-12-1-1-211-21100-2-20011000022000011-1-1-1-10000
χ3522-2222-222-2-2-2-222i−2i-22-2-2−2i2i-222i2i−2i−2i2-2222-2-2−2i−2i2i2i2i2i2i−2i−2i−2i-2-2-2-22222−2i−2i−2i2i2i2i0000000000000000000000000000
χ3622-2222-222-2-2-2-22−2i2i-22-2-22i−2i-22−2i−2i2i2i2-2222-2-22i2i−2i−2i−2i−2i−2i2i2i2i-2-2-2-222222i2i2i−2i−2i−2i0000000000000000000000000000
χ3722-22-12-2-1211-2-2-12i−2i-2-1112i−2i2-2−i−iii-112-1-1112i2i−2i−2i2i−i−i−2iii2-1-1-1-2111−i−i−iiii2-2002i−2i00-1-11100−i−iii0000000000
χ3822-22-12-2-1211-2-2-12i−2i-2-1112i−2i2-2−i−iii-112-1-1112i2i−2i−2i2i−i−i−2iii2-1-1-1-2111−i−i−iiii-2200−2i2i0011-1-100ii−i−i0000000000
χ3922-22-12-2-1211-2-2-12i−2i-2-111−2i2i-22−i−iii-112-1-111−2i−2i2i2i2i−i−i−2iii-21112-1-1-1iii−i−i−i00000000−i3i3i3−i3003−3−330000000000
χ4022-22-12-2-1211-2-2-12i−2i-2-111−2i2i-22−i−iii-112-1-111−2i−2i2i2i2i−i−i−2iii-21112-1-1-1iii−i−i−i00000000i3−i3−i3i300−333−30000000000
χ4122-22-12-2-1211-2-2-1−2i2i-2-1112i−2i-22ii−i−i-112-1-1112i2i−2i−2i−2iii2i−i−i-21112-1-1-1−i−i−iiii00000000−i3i3i3−i300−333−30000000000
χ4222-22-12-2-1211-2-2-1−2i2i-2-1112i−2i-22ii−i−i-112-1-1112i2i−2i−2i−2iii2i−i−i-21112-1-1-1−i−i−iiii00000000i3−i3−i3i3003−3−330000000000
χ4322-22-12-2-1211-2-2-1−2i2i-2-111−2i2i2-2ii−i−i-112-1-111−2i−2i2i2i−2iii2i−i−i2-1-1-1-2111iii−i−i−i2-200−2i2i00-1-11100ii−i−i0000000000
χ4422-22-12-2-1211-2-2-1−2i2i-2-111−2i2i2-2ii−i−i-112-1-111−2i−2i2i2i−2iii2i−i−i2-1-1-1-2111iii−i−i−i-22002i−2i0011-1-100−i−iii0000000000
χ4522-2-122-22-1-2-211-12i−2i1-1112i−2i2-22i2i−2i−2i2-2-1-1-111−i−iii−i−i−iiii-12-1-11-2112i−i−i−2iii002-200-1-100002i−2i000011−i−iii0000
χ4622-2-122-22-1-2-211-12i−2i1-1112i−2i2-22i2i−2i−2i2-2-1-1-111−i−iii−i−i−iiii-12-1-11-2112i−i−i−2iii00-2200110000−2i2i0000-1-1ii−i−i0000
χ4722-2-122-22-1-2-211-12i−2i1-111−2i2i-222i2i−2i−2i2-2-1-1-111ii−i−i−i−i−iiii1-211-12-1-1−2iii2i−i−i000000−i3i30000000000i3−i33−3−330000
χ4822-2-122-22-1-2-211-12i−2i1-111−2i2i-222i2i−2i−2i2-2-1-1-111ii−i−i−i−i−iiii1-211-12-1-1−2iii2i−i−i000000i3−i30000000000−i3i3−333−30000
χ4922-2-122-22-1-2-211-1−2i2i1-1112i−2i-22−2i−2i2i2i2-2-1-1-111−i−iiiiii−i−i−i1-211-12-1-12i−i−i−2iii000000−i3i30000000000i3−i3−333−30000
χ5022-2-122-22-1-2-211-1−2i2i1-1112i−2i-22−2i−2i2i2i2-2-1-1-111−i−iiiiii−i−i−i1-211-12-1-12i−i−i−2iii000000i3−i30000000000−i3i33−3−330000
χ5122-2-122-22-1-2-211-1−2i2i1-111−2i2i2-2−2i−2i2i2i2-2-1-1-111ii−i−iiii−i−i−i-12-1-11-211−2iii2i−i−i002-200-1-10000−2i2i000011ii−i−i0000
χ5222-2-122-22-1-2-211-1−2i2i1-111−2i2i2-2−2i−2i2i2i2-2-1-1-111ii−i−iiii−i−i−i-12-1-11-211−2iii2i−i−i00-22001100002i−2i0000-1-1−i−iii0000
χ5344444-4-44444-4-4400444400000000-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000
χ544444-2-4-4-24-2-2-4-4-2004-2-2-20000−2i32i3−2i32i322-4222200000−2i32i30−2i32i3000000000000000000000000000000000000000000
χ554444-2-4-4-24-2-2-4-4-2004-2-2-200002i3−2i32i3−2i322-42222000002i3−2i302i3−2i3000000000000000000000000000000000000000000
χ56444-24-4-44-24422-200-2-2-2-200000000-4-42222223−2323−2300000000000000023−23023−230000000000000000000000000000
χ57444-24-4-44-24422-200-2-2-2-200000000-4-422222−2323−2323000000000000000−23230−23230000000000000000000000000000
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
χ6644-444-4444-4-444400-44-4-400000000-44-4-4-4440000000000000000000000000000000000000000000000000000
χ6744-44-2-44-242244-200-4-222000023−23−23232-2-422-2-20000023−230−2323000000000000000000000000000000000000000000
χ6844-44-2-44-242244-200-4-2220000−232323−232-2-422-2-200000−2323023−23000000000000000000000000000000000000000000
χ6944-4-24-444-2-4-4-2-2-2002-22200000000-44222-2-2−2i32i32i3−2i3000000000000000−2i32i302i3−2i30000000000000000000000000000
χ7044-4-24-444-2-4-4-2-2-2002-22200000000-44222-2-22i3−2i3−2i32i30000000000000002i3−2i30−2i32i30000000000000000000000000000
χ7144-4-2-24-4-2-2222214i−4i21-1-14i−4i4-4−2i−2i2i2i-22-211-1-1−2i−2i2i2i−2iii2i−i−i-2-21122-1-1−2iii2i−i−i0000000000000000000000000000
χ7244-4-2-24-4-2-2222214i−4i21-1-1−4i4i-44−2i−2i2i2i-22-211-1-12i2i−2i−2i−2iii2i−i−i22-1-1-2-2112i−i−i−2iii0000000000000000000000000000
χ7344-4-2-24-4-2-222221−4i4i21-1-14i−4i-442i2i−2i−2i-22-211-1-1−2i−2i2i2i2i−i−i−2iii22-1-1-2-211−2iii2i−i−i0000000000000000000000000000
χ7444-4-2-24-4-2-222221−4i4i21-1-1−4i4i4-42i2i−2i−2i-22-211-1-12i2i−2i−2i2i−i−i−2iii-2-21122-1-12i−i−i−2iii0000000000000000000000000000
χ7544-4-2-2-44-2-222-2-210021-1-1000023−23−23232-22-1-111−2i32i32i3−2i30−3303−300−3i3i003i−3i0i3−i30−i3i30000000000000000000000000000
χ7644-4-2-2-44-2-222-2-210021-1-1000023−23−23232-22-1-1112i3−2i3−2i32i30−3303−3003i−3i00−3i3i0−i3i30i3−i30000000000000000000000000000
χ7744-4-2-2-44-2-222-2-210021-1-10000−232323−232-22-1-111−2i32i32i3−2i303−30−33003i−3i00−3i3i0i3−i30−i3i30000000000000000000000000000
χ7844-4-2-2-44-2-222-2-210021-1-10000−232323−232-22-1-1112i3−2i3−2i32i303−30−3300−3i3i003i−3i0−i3i30i3−i30000000000000000000000000000
χ798-808800-8-800008000-8000000000000000000000000000000000000000000000000000000000000000000000
χ808-808-4004-8−4i34i300-40004−4i34i30000000000000000000000000000000000000000000000000000000000000000000
χ818-808-4004-84i3−4i300-400044i3−4i30000000000000000000000000000000000000000000000000000000000000000000
χ828-80-4800-840043−43-4000400000000000000043−430000000000000000000000000000000000000000000000000000
χ838-80-4800-8400−4343-40004000000000000000−43430000000000000000000000000000000000000000000000000000
χ848-80-4-40044−4i34i343−432000-22i3−2i3000000000006i−6i−23230000000000000000000000000000000000000000000000000000
χ858-80-4-40044−4i34i3−43432000-22i3−2i300000000000−6i6i23−230000000000000000000000000000000000000000000000000000
χ868-80-4-400444i3−4i343−432000-2−2i32i300000000000−6i6i−23230000000000000000000000000000000000000000000000000000
χ878-80-4-400444i3−4i3−43432000-2−2i32i3000000000006i−6i23−230000000000000000000000000000000000000000000000000000

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