Finite Group Databasebeta

← Group #11797973

Character table — Group #11797973

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222444444444444444444444444448888888888888888888824242424242424242424242424242424242424242424242472727272
order12233446666121234466668888121212121212121212121224242424121212121212242424242424242424242424242422446666121212121616161648484848484848482488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
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
χ511111111111111-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111-1-11111-1-111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ911-1111-111-1-1111i−i-11-1-1i−i1-1ii−i−i1-1-111-1-111-1-1iii−i−i−i111-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i11-1-1ii−i−i1-1i−i
χ1011-1111-111-1-1111i−i-11-1-1i−i1-1ii−i−i1-1-111-1-111-1-1iii−i−i−i111-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i-11−ii-1-111−i−iii-11−ii
χ1111-1111-111-1-1111i−i-11-1-1i−i1-1ii−i−i1-1-111-1-111-1-1iii−i−i−i111-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii1-1i−i11-1-1ii−i−i-11−ii
χ1211-1111-111-1-1111i−i-11-1-1i−i1-1ii−i−i1-1-111-1-111-1-1iii−i−i−i111-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii-1-111−i−iii1-1i−i
χ1311-1111-111-1-1111−ii-11-1-1−ii1-1−i−iii1-1-111-1-111-1-1−i−i−iiii111-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1−ii11-1-1−i−iii1-1−ii
χ1411-1111-111-1-1111−ii-11-1-1−ii1-1−i−iii1-1-111-1-111-1-1−i−i−iiii111-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii-11i−i-1-111ii−i−i-11i−i
χ1511-1111-111-1-1111−ii-11-1-1−ii1-1−i−iii1-1-111-1-111-1-1−i−i−iiii111-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i1-1−ii11-1-1−i−iii-11i−i
χ1611-1111-111-1-1111−ii-11-1-1−ii1-1−i−iii1-1-111-1-111-1-1−i−i−iiii111-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-11i−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
χ1822222222222222-2-2222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ192222-1222-1-1-122-1222-1-1-12222-1-1-1-1-12-1-1-1-1-122222-1-12-1-1-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ202222-1222-1-1-122-1222-1-1-12222-1-1-1-1-12-1-1-1-1-122222-1-12-1-1-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111110000000000000000
χ212222-1222-1-1-122-1222-1-1-1-2-2-2-2-1-1-1-1-12-1-1-1-1-1-2-2-2-22-1-12-1-1111111-2111-21110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ222222-1222-1-1-122-1222-1-1-1-2-2-2-2-1-1-1-1-12-1-1-1-1-1-2-2-2-22-1-12-1-1111111-2111-21110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ232222-1222-1-1-122-1-2-22-1-1-122-2-21111-12-1-1-1-1-1-2-2-2-2-211-2111111112-1-1-12-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ242222-1222-1-1-122-1-2-22-1-1-122-2-21111-12-1-1-1-1-1-2-2-2-2-211-2111111112-1-1-12-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ252222-1222-1-1-122-1-2-22-1-1-1-2-2221111-12-1-1-1-1-12222-211-211-1-1-1-1-1-1-2111-211122-2-2-1-1-1-111110000000000000000
χ262222-1222-1-1-122-1-2-22-1-1-1-2-2221111-12-1-1-1-1-12222-211-211-1-1-1-1-1-1-2111-2111-2-2221111-1-1-1-10000000000000000
χ27222-1222-1222-1-1-122-1-1-1-1222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-12-1-1-12-1-10000000000002222-1-1-1-1-1-1-1-10000
χ28222-1222-1222-1-1-122-1-1-1-1222222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-12-1-1-12-1-1000000000000-2-2-2-2111111110000
χ29222-1222-1222-1-1-122-1-1-1-1-2-2-2-222222-12-1-1-1-11111-1-1-1-1-1-1-211-2111-2111-21100000000000000003−33−33−33−30000
χ30222-1222-1222-1-1-122-1-1-1-1-2-2-2-222222-12-1-1-1-11111-1-1-1-1-1-1-211-2111-2111-2110000000000000000−33−33−33−330000
χ31222-1222-1222-1-1-1-2-2-1-1-1-122-2-2-2-2-2-22-12-1-1-1-11111111111-211-211-12-1-1-12-1-100000000000000003−33−3−33−330000
χ32222-1222-1222-1-1-1-2-2-1-1-1-122-2-2-2-2-2-22-12-1-1-1-11111111111-211-211-12-1-1-12-1-10000000000000000−33−333−33−30000
χ33222-1222-1222-1-1-1-2-2-1-1-1-1-2-222-2-2-2-22-12-1-1-1-1-1-1-1-11111112-1-12-1-11-2111-21100000000000022-2-2-1-1-1-111110000
χ34222-1222-1222-1-1-1-2-2-1-1-1-1-2-222-2-2-2-22-12-1-1-1-1-1-1-1-11111112-1-12-1-11-2111-211000000000000-2-2221111-1-1-1-10000
χ3522-2222-222-2-22222i−2i-22-2-2−2i2i-222i2i−2i−2i2-2-222-2-2-2-2222i2i2i−2i−2i−2i-2-2-2222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ3622-2222-222-2-2222−2i2i-22-2-22i−2i-22−2i−2i2i2i2-2-222-2-2-2-222−2i−2i−2i2i2i2i-2-2-22222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ3722-22-12-22-11122-12i−2i-2-1112i−2i2-2−i−iii-1-21-1-11122-2-22i−i−i−2iii-1-1-11112i−i−i−i−2iiii2-22i−2i-1-111−i−iii0000000000000000
χ3822-22-12-22-11122-12i−2i-2-1112i−2i2-2−i−iii-1-21-1-11122-2-22i−i−i−2iii-1-1-11112i−i−i−i−2iiii-22−2i2i11-1-1ii−i−i0000000000000000
χ3922-22-12-22-11122-12i−2i-2-111−2i2i-22−i−iii-1-21-1-111-2-2222i−i−i−2iii111-1-1-1−2iiii2i−i−i−i0000−i3i3i3−i33−3−330000000000000000
χ4022-22-12-22-11122-12i−2i-2-111−2i2i-22−i−iii-1-21-1-111-2-2222i−i−i−2iii111-1-1-1−2iiii2i−i−i−i0000i3−i3−i3i3−333−30000000000000000
χ4122-22-12-22-11122-1−2i2i-2-1112i−2i-22ii−i−i-1-21-1-111-2-222−2iii2i−i−i111-1-1-12i−i−i−i−2iiii0000−i3i3i3−i3−333−30000000000000000
χ4222-22-12-22-11122-1−2i2i-2-1112i−2i-22ii−i−i-1-21-1-111-2-222−2iii2i−i−i111-1-1-12i−i−i−i−2iiii0000i3−i3−i3i33−3−330000000000000000
χ4322-22-12-22-11122-1−2i2i-2-111−2i2i2-2ii−i−i-1-21-1-11122-2-2−2iii2i−i−i-1-1-1111−2iiii2i−i−i−i2-2−2i2i-1-111ii−i−i0000000000000000
χ4422-22-12-22-11122-1−2i2i-2-111−2i2i2-2ii−i−i-1-21-1-11122-2-2−2iii2i−i−i-1-1-1111−2iiii2i−i−i−i-222i−2i11-1-1−i−iii0000000000000000
χ4522-2-122-2-12-2-2-1-1-12i−2i1-1112i−2i2-22i2i−2i−2i21-2-1-111-1-111−i−i−iiii2-1-1-211−i2i−i−ii−2iii0000000000002-22i−2i-1-111−i−iii0000
χ4622-2-122-2-12-2-2-1-1-12i−2i1-1112i−2i2-22i2i−2i−2i21-2-1-111-1-111−i−i−iiii2-1-1-211−i2i−i−ii−2iii000000000000-22−2i2i11-1-1ii−i−i0000
χ4722-2-122-2-12-2-2-1-1-12i−2i1-111−2i2i-222i2i−2i−2i21-2-1-11111-1-1−i−i−iiii-2112-1-1i−2iii−i2i−i−i00000000000000003−3−33i3−i3−i3i30000
χ4822-2-122-2-12-2-2-1-1-12i−2i1-111−2i2i-222i2i−2i−2i21-2-1-11111-1-1−i−i−iiii-2112-1-1i−2iii−i2i−i−i0000000000000000−333−3−i3i3i3−i30000
χ4922-2-122-2-12-2-2-1-1-1−2i2i1-1112i−2i-22−2i−2i2i2i21-2-1-11111-1-1iii−i−i−i-2112-1-1−i2i−i−ii−2iii00000000000000003−3−33−i3i3i3−i30000
χ5022-2-122-2-12-2-2-1-1-1−2i2i1-1112i−2i-22−2i−2i2i2i21-2-1-11111-1-1iii−i−i−i-2112-1-1−i2i−i−ii−2iii0000000000000000−333−3i3−i3−i3i30000
χ5122-2-122-2-12-2-2-1-1-1−2i2i1-111−2i2i2-2−2i−2i2i2i21-2-1-111-1-111iii−i−i−i2-1-1-211i−2iii−i2i−i−i0000000000002-2−2i2i-1-111ii−i−i0000
χ5222-2-122-2-12-2-2-1-1-1−2i2i1-111−2i2i2-2−2i−2i2i2i21-2-1-111-1-111iii−i−i−i2-1-1-211i−2iii−i2i−i−i000000000000-222i−2i11-1-1−i−iii0000
χ5344444-4-44444-4-4400444400000000-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000
χ544444-2-4-44-2-2-2-4-4-2004-2-2-20000−2i32i3−2i32i32-42222200000−2i32i30−2i32i3000000000000000000000000000000000000000000
χ554444-2-4-44-2-2-2-4-4-2004-2-2-200002i3−2i32i3−2i32-422222000002i3−2i302i3−2i3000000000000000000000000000000000000000000
χ56444-24-4-4-244422-200-2-2-2-200000000-42-4222223−2323−23000000023−23023−23000000000000000000000000000000000000
χ57444-24-4-4-244422-200-2-2-2-200000000-42-42222−2323−23230000000−23230−2323000000000000000000000000000000000000
χ58444-2-244-2-2-2-2-2-2144-21114444-2-2-2-2-2-2-21111-2-2-2-2-211-211-211-211-2-211-2-2110000000000000000000000000000
χ59444-2-244-2-2-2-2-2-2144-2111-4-4-4-4-2-2-2-2-2-2-211112222-211-2112-1-12-1-122-1-122-1-10000000000000000000000000000
χ60444-2-244-2-2-2-2-2-21-4-4-211144-4-42222-2-2-2111122222-1-12-1-12-1-12-1-1-2-211-2-2110000000000000000000000000000
χ61444-2-244-2-2-2-2-2-21-4-4-2111-4-4442222-2-2-21111-2-2-2-22-1-12-1-1-211-21122-1-122-1-10000000000000000000000000000
χ62444-2-2-4-4-2-2-2-222100-21110000−2i32i3−2i32i3222-1-1-1-123−2323−230i3−i30i3−i30−330−33003i−3i003i−3i0000000000000000000000000000
χ63444-2-2-4-4-2-2-2-222100-21110000−2i32i3−2i32i3222-1-1-1-1−2323−23230i3−i30i3−i303−303−300−3i3i00−3i3i0000000000000000000000000000
χ64444-2-2-4-4-2-2-2-222100-211100002i3−2i32i3−2i3222-1-1-1-123−2323−230−i3i30−i3i30−330−3300−3i3i00−3i3i0000000000000000000000000000
χ65444-2-2-4-4-2-2-2-222100-211100002i3−2i32i3−2i3222-1-1-1-1−2323−23230−i3i30−i3i303−303−3003i−3i003i−3i0000000000000000000000000000
χ6644-444-4444-4-4-4-4400-44-4-400000000-444-4-4440000000000000000000000000000000000000000000000000000
χ6744-44-2-444-222-4-4-200-4-222000023−23−232324-222-2-20000023−230−2323000000000000000000000000000000000000000000
χ6844-44-2-444-222-4-4-200-4-2220000−232323−2324-222-2-200000−2323023−23000000000000000000000000000000000000000000
χ6944-4-24-44-24-4-422-2002-22200000000-4-2422-2-223−23−2323000000023−230−2323000000000000000000000000000000000000
χ7044-4-24-44-24-4-422-2002-22200000000-4-2422-2-2−232323−230000000−2323023−23000000000000000000000000000000000000
χ7144-4-2-24-4-2-222-2-214i−4i21-1-14i−4i4-4−2i−2i2i2i-22211-1-1-2-222−2iii2i−i−i-2112-1-1−2i−2iii2i2i−i−i0000000000000000000000000000
χ7244-4-2-24-4-2-222-2-214i−4i21-1-1−4i4i-44−2i−2i2i2i-22211-1-122-2-2−2iii2i−i−i2-1-1-2112i2i−i−i−2i−2iii0000000000000000000000000000
χ7344-4-2-24-4-2-222-2-21−4i4i21-1-14i−4i-442i2i−2i−2i-22211-1-122-2-22i−i−i−2iii2-1-1-211−2i−2iii2i2i−i−i0000000000000000000000000000
χ7444-4-2-24-4-2-222-2-21−4i4i21-1-1−4i4i4-42i2i−2i−2i-22211-1-1-2-2222i−i−i−2iii-2112-1-12i2i−i−i−2i−2iii0000000000000000000000000000
χ7544-4-2-2-44-2-2222210021-1-1000023−23−23232-2-2-1-11123−23−23230−3303−30−3303−300-33003-30000000000000000000000000000
χ7644-4-2-2-44-2-2222210021-1-1000023−23−23232-2-2-1-111−232323−230−3303−303−30−33003-300-330000000000000000000000000000
χ7744-4-2-2-44-2-2222210021-1-10000−232323−232-2-2-1-11123−23−232303−30−330−3303−3003-300-330000000000000000000000000000
χ7844-4-2-2-44-2-2222210021-1-10000−232323−232-2-2-1-111−232323−2303−30−3303−30−3300-33003-30000000000000000000000000000
χ798-808800-8-800008000-8000000000000000000000000000000000000000000000000000000000000000000000
χ808-808-400-84−4i34i300-40004−4i34i30000000000000000000000000000000000000000000000000000000000000000000
χ818-808-400-844i3−4i300-400044i3−4i30000000000000000000000000000000000000000000000000000000000000000000
χ828-80-48004-80043−43-40004000000000000043−43000000000000000000000000000000000000000000000000000000
χ838-80-48004-800−4343-400040000000000000−4343000000000000000000000000000000000000000000000000000000
χ848-80-4-40044−4i34i343−432000-22i3−2i300000000000−23236i−6i0000000000000000000000000000000000000000000000000000
χ858-80-4-40044−4i34i3−43432000-22i3−2i30000000000023−23−6i6i0000000000000000000000000000000000000000000000000000
χ868-80-4-400444i3−4i343−432000-2−2i32i300000000000−2323−6i6i0000000000000000000000000000000000000000000000000000
χ878-80-4-400444i3−4i3−43432000-2−2i32i30000000000023−236i−6i0000000000000000000000000000000000000000000000000000

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