Finite Group Databasebeta

← Group #11796856

Character table — Group #11796856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order1223344666688443666681212121224242424242422488121212124412121212121224242424246681616161624242424121212121212244412121212484848481616161661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-111-1111-1-1-1-11111-1-1-11-1-11111-1-1-1-11-1-1-1-111-1-1i−iii−i−i-11111-1-11-11ii−i−i11-1-1iii−i−i−i1-1i−iii−i−iii−i−iii−i−i1-1-11
χ1011-111-1111-1-1-1-11111-1-1-11-1-11111-1-1-1-11-1-1-1-111-1-1i−iii−i−i-11111-1-11-11−i−iii11-1-1iii−i−i−i-11i−iii−i−i−i−iii−i−iii-111-1
χ1111-111-1111-1-1-1-11111-1-1-11-1-11111-1-1-1-11-1-1-1-111-1-1−ii−i−iii-11111-1-11-11ii−i−i11-1-1−i−i−iiii-11−ii−i−iiiii−i−iii−i−i-111-1
χ1211-111-1111-1-1-1-11111-1-1-11-1-11111-1-1-1-11-1-1-1-111-1-1−ii−i−iii-11111-1-11-11−i−iii11-1-1−i−i−iiii1-1−ii−i−iii−i−iii−i−iii1-1-11
χ1311-111-1111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-11111-1-111i−iii−i−i-11111-1-1-11-1ii−i−i-1-111iii−i−i−i1-1−ii−i−iiiii−i−i−i−iii1-11-1
χ1411-111-1111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-11111-1-111i−iii−i−i-11111-1-1-11-1−i−iii-1-111iii−i−i−i-11−ii−i−iii−i−iiiii−i−i-11-11
χ1511-111-1111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-11111-1-111−ii−i−iii-11111-1-1-11-1ii−i−i-1-111−i−i−iiii-11i−iii−i−iii−i−i−i−iii-11-11
χ1611-111-1111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-11111-1-111−ii−i−iii-11111-1-1-11-1−i−iii-1-111−i−i−iiii1-1i−iii−i−i−i−iiiii−i−i1-11-1
χ1722222222222-2-22222222-22222-2-2-2-2-2-2222-2-2222200000022-2-2-2-2-222-20000-2-2-2-200000000000000000000000000
χ1822222222222-2-2-2-222222-22222-2-2-2-2-2-2-2-2-222-2-2-2-200000022-2-2-2-2-2-2-220000222200000000000000000000000000
χ1922222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-202−22−20000000000000000002−22−22−22−20000
χ2022222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-20−22−22000000000000000000−22−22−22−220000
χ2122222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-2000002202−22−20000000000000000002−22−2−22−220000
χ2222222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000220−22−22000000000000000000−22−222−22−20000
χ232222-1222-1222200-1-1-1-1-122-1-122222-1-1000000000222222-1-1-1-1-1-1-100022220000-1-1-1-1-1-122000000-1-1-1-10000-1-100
χ242222-1222-1222200-1-1-1-1-122-1-122222-1-1000000000222222-1-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1-2-2000000111100001100
χ252222-1222-1222200-1-1-1-1-122-1-122222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-100022220000111111-2-2000000-1-1-1-100001100
χ262222-1222-1222200-1-1-1-1-122-1-122222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-1000-2-2-2-200001111112200000011110000-1-100
χ27222-1222-12-1-12222-1-12-1-12-122-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-1-12-1-12-1-10022-1-1-1-1000000000000
χ28222-1222-12-1-12222-1-12-1-12-122-1-1-1-1-12222222-1-1-1-1-2-21111-1-12-1-1-1-1-1-120000-1-1-1-1-211-21100-2-21111000000000000
χ29222-1222-12-1-122-2-2-1-12-1-12-122-1-1-1-1-122-2-2-2-2-2111122-1-1-1-1-1-12-1-1-1-111-2000011112-1-12-1-100-2-21111000000000000
χ30222-1222-12-1-122-2-2-1-12-1-12-122-1-1-1-1-122-2-2-2-2-21111-2-21111-1-12-1-1-1-111-200001111-211-2110022-1-1-1-1000000000000
χ31222-1222-12-1-1-2-222-1-12-1-1-2-122-11111-2-2222-2-2-1-1-1-100−i3i3−i3i3-1-1-21111-1-1-2000011110−i3i30−i3i30000−i3i3−i3i3000000000000
χ32222-1222-12-1-1-2-222-1-12-1-1-2-122-11111-2-2222-2-2-1-1-1-100i3−i3i3−i3-1-1-21111-1-1-2000011110i3−i30i3−i30000i3−i3i3−i3000000000000
χ33222-1222-12-1-1-2-2-2-2-1-12-1-1-2-122-11111-2-2-2-2-222111100−i3i3−i3i3-1-1-211111120000-1-1-1-10−i3i30−i3i30000i3−i3i3−i3000000000000
χ34222-1222-12-1-1-2-2-2-2-1-12-1-1-2-122-11111-2-2-2-2-222111100i3−i3i3−i3-1-1-211111120000-1-1-1-10i3−i30i3−i30000−i3i3−i3i3000000000000
χ3522-2222-222-2-2002222-2-2-2022-2-2000000-22-20022-2-20000002-200000-220−i2i2i2−i2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ3622-2222-222-2-2002222-2-2-2022-2-2000000-22-20022-2-20000002-200000-220i2−i2−i2i2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ3722-2222-222-2-200-2-222-2-2-2022-2-20000002-2200-2-2220000002-2000002-20−i2i2i2−i2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ3822-2222-222-2-200-2-222-2-2-2022-2-20000002-2200-2-2220000002-2000002-20i2−i2−i2i2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ3922-222-2222-2-2222222-2-2-2-2-2-222-2-222222-2-22222-2-2000000-22-2-2-2222-2-20000-2-22200000000000000000000000000
χ4022-222-2222-2-222-2-222-2-2-2-2-2-222-2-22222-222-2-2-2-222000000-22-2-2-222-222000022-2-200000000000000000000000000
χ4122-22-1-222-1-2-2-2-200-1-11112-21-1222-2-2110000000002i−2i2i2i−2i−2i1-1-1-1-1110002i2i−2i−2i0000−i−i−iiii2-2000000−i−iii0000-1100
χ4222-22-1-222-1-2-2-2-200-1-11112-21-1222-2-2110000000002i−2i2i2i−2i−2i1-1-1-1-111000−2i−2i2i2i0000−i−i−iiii-22000000ii−i−i00001-100
χ4322-22-1-222-1-2-2-2-200-1-11112-21-1222-2-211000000000−2i2i−2i−2i2i2i1-1-1-1-1110002i2i−2i−2i0000iii−i−i−i-22000000−i−iii00001-100
χ4422-22-1-222-1-2-2-2-200-1-11112-21-1222-2-211000000000−2i2i−2i−2i2i2i1-1-1-1-111000−2i−2i2i2i0000iii−i−i−i2-2000000ii−i−i0000-1100
χ4522-2-12-22-12112222-1-1-211-21-22-111-1-1222-2-222-1-111003−3−331-1-211-1-1-11-2000011-1-103−30−3300003−3−33000000000000
χ4622-2-12-22-12112222-1-1-211-21-22-111-1-1222-2-222-1-11100−333−31-1-211-1-1-11-2000011-1-10−3303−30000−333−3000000000000
χ4722-2-12-22-121122-2-2-1-1-211-21-22-111-1-122-222-2-211-1-1003−3−331-1-211-1-11-120000-1-11103−30−330000−333−3000000000000
χ4822-2-12-22-121122-2-2-1-1-211-21-22-111-1-122-222-2-211-1-100−333−31-1-211-1-11-120000-1-1110−3303−300003−3−33000000000000
χ4922-2-12-22-1211-2-222-1-1-21121-22-1-1-111-2-22-2-2-2-2-1-1112i−2i−i−iii1-12-1-111-1120000-1-1112i−i−i−2iii002i−2i−i−iii000000000000
χ5022-2-12-22-1211-2-222-1-1-21121-22-1-1-111-2-22-2-2-2-2-1-111−2i2iii−i−i1-12-1-111-1120000-1-111−2iii2i−i−i00−2i2iii−i−i000000000000
χ5122-2-12-22-1211-2-2-2-2-1-1-21121-22-1-1-111-2-2-2222211-1-12i−2i−i−iii1-12-1-1111-1-2000011-1-12i−i−i−2iii00−2i2iii−i−i000000000000
χ5222-2-12-22-1211-2-2-2-2-1-1-21121-22-1-1-111-2-2-2222211-1-1−2i2iii−i−i1-12-1-1111-1-2000011-1-1−2iii2i−i−i002i−2i−i−iii000000000000
χ534444-2444-244-4-400-2-2-2-2-2-44-2-24-4-4-4-422000000000000000-2-2222220000000000000000000000000000000000000
χ544444-2-4-44-2440000-2-2-2-2-20-422-4000000000000000000000220000000022−2222−22000000000000000000−22−2200000000
χ554444-2-4-44-2440000-2-2-2-2-20-422-40000000000000000000002200000000−2222−22220000000000000000002−22−200000000
χ56444-24-4-4-24-2-20044-2-24-2-202-4-42000000-4-4400-2-2-2-200000022000002200000000000000000000000000000000000
χ57444-24-4-4-24-2-200-4-4-2-24-2-202-4-4200000044-40022220000002200000-2-200000000000000000000000000000000000
χ58444-2-244-2-2-2-2440011-2114-2-2-2-2-2-2-2-2-2-200000000044-2-2-2-211-2111100000000000-211-21100000000000000000000
χ59444-2-244-2-2-2-2440011-2114-2-2-2-2-2-2-2-2-2-2000000000-4-4222211-21111000000000002-1-12-1-100000000000000000000
χ60444-2-244-2-2-2-2-4-40011-211-4-2-2-2-222222200000000000−2i32i3−2i32i3112-1-1-1-1000000000000i3−i30i3−i300000000000000000000
χ61444-2-244-2-2-2-2-4-40011-211-4-2-2-2-2222222000000000002i3−2i32i3−2i3112-1-1-1-1000000000000−i3i30−i3i300000000000000000000
χ6244-44-24-44-2-4-40000-2-222204-22-4000000000000000000000-2200000000−2i22i22i2−2i2000000000000000000i2−i2−i2i200000000
χ6344-44-24-44-2-4-40000-2-222204-22-4000000000000000000000-22000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i200000000
χ6444-44-2-444-2-4-44400-2-2222-4-42-24-4-444-2-20000000000000002-2222-2-20000000000000000000000000000000000000
χ6544-4-244-4-24220044-2-2-4220-24-42000000-44-400-2-222000000-22000002-200000000000000000000000000000000000
χ6644-4-244-4-242200-4-4-2-2-4220-24-420000004-440022-2-2000000-2200000-2200000000000000000000000000000000000
χ6744-4-2-2-44-2-2224400112-1-1-422-2-222-2-2-2-20000000000023−23−2323-112-1-111000000000000−3303−300000000000000000000
χ6844-4-2-2-44-2-2224400112-1-1-422-2-222-2-2-2-200000000000−232323−23-112-1-1110000000000003−30−3300000000000000000000
χ6944-4-2-2-44-2-222-4-400112-1-1422-2-2-2-222220000000004i−4i−2i−2i2i2i-11-211-1-100000000000−2iii2i−i−i00000000000000000000
χ7044-4-2-2-44-2-222-4-400112-1-1422-2-2-2-22222000000000−4i4i2i2i−2i−2i-11-211-1-1000000000002i−i−i−2iii00000000000000000000
χ714-404400-4-400−2i22i24i−4i4-40000000000−2i22i2−2i22i200022−224i−4i0000000000000−2i22i200000000022−2200000000000000000000000000
χ724-404400-4-400−2i22i2−4i4i4-40000000000−2i22i2−2i22i2000−2222−4i4i0000000000000−2i22i2000000000−222200000000000000000000000000
χ734-404400-4-4002i2−2i24i−4i4-400000000002i2−2i22i2−2i2000−22224i−4i00000000000002i2−2i2000000000−222200000000000000000000000000
χ744-404400-4-4002i2−2i2−4i4i4-400000000002i2−2i22i2−2i200022−22−4i4i00000000000002i2−2i200000000022−2200000000000000000000000000
χ754-40-24002-4−2i32i3−2i22i24i−4i-220−2i32i3000006−6i2−i2−2i22i200022−22−2i2i23−230000000006−6i2−i20000000i6−i6−2200000000000000000000000000
χ764-40-24002-4−2i32i3−2i22i2−4i4i-220−2i32i3000006−6i2−i2−2i22i2000−22222i−2i−23230000000006−6i2−i20000000−i6i62−200000000000000000000000000
χ774-40-24002-4−2i32i32i2−2i24i−4i-220−2i32i300000−66−i2i22i2−2i2000−2222−2i2i23−23000000000−66−i2i20000000−i6i62−200000000000000000000000000
χ784-40-24002-4−2i32i32i2−2i2−4i4i-220−2i32i300000−66−i2i22i2−2i200022−222i−2i−2323000000000−66−i2i20000000i6−i6−2200000000000000000000000000
χ794-40-24002-42i3−2i3−2i22i24i−4i-2202i3−2i300000−66i2−i2−2i22i200022−22−2i2i−2323000000000−66i2−i20000000−i6i6−2200000000000000000000000000
χ804-40-24002-42i3−2i3−2i22i2−4i4i-2202i3−2i300000−66i2−i2−2i22i2000−22222i−2i23−23000000000−66i2−i20000000i6−i62−200000000000000000000000000
χ814-40-24002-42i3−2i32i2−2i24i−4i-2202i3−2i3000006−6−i2i22i2−2i2000−2222−2i2i−23230000000006−6−i2i20000000i6−i62−200000000000000000000000000
χ824-40-24002-42i3−2i32i2−2i2−4i4i-2202i3−2i3000006−6−i2i22i2−2i200022−222i−2i23−230000000006−6−i2i20000000−i6i6−2200000000000000000000000000
χ83888-4-4-8-8-4-4-4-4000022-42204444000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-4-48-8-4-4440000224-2-20-4-4440000000000000000000002-2000000000000000000000000000000000000000000
χ858-808-400-8400−4i24i200-440000000000−4i24i22i2−2i2000000000000000000002i2−2i20000000000000000000000000000000000000
χ868-808-400-84004i2−4i200-4400000000004i2−4i2−2i22i200000000000000000000−2i22i20000000000000000000000000000000000000
χ878-80-4-40044−4i34i3−4i24i2002-202i3−2i30000026−262i2−2i22i2−2i2000000000000000000−66−i2i20000000000000000000000000000000000000
χ888-80-4-40044−4i34i34i2−4i2002-202i3−2i300000−2626−2i22i2−2i22i20000000000000000006−6i2−i20000000000000000000000000000000000000
χ898-80-4-400444i3−4i3−4i24i2002-20−2i32i300000−26262i2−2i22i2−2i20000000000000000006−6−i2i20000000000000000000000000000000000000
χ908-80-4-400444i3−4i34i2−4i2002-20−2i32i30000026−26−2i22i2−2i22i2000000000000000000−66i2−i20000000000000000000000000000000000000

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