Finite Group Databasebeta

← Group #11797130

Character table — Group #11797130

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order12233446666884436666812121212242424242424224881212121244121212121212242424242466816161616242424241212121212124488121212124848484816161616242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
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
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
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
χ911-1111-111-1-1111111-1-1-1-1-111-111-1-1111-1-11111-1-1i−iii−i−i-11-111-1-11-1-111-1-111-1-1iii−i−i−ii−ii−iii−i−i11-1-111-1-1i−ii−i
χ1011-1111-111-1-1111111-1-1-1-1-111-111-1-1111-1-11111-1-1i−iii−i−i-11-111-1-11-1-1-1-11111-1-1iii−i−i−ii−i−iiii−i−i-1-111-1-111−ii−ii
χ1111-1111-111-1-1111111-1-1-1-1-111-111-1-1111-1-11111-1-1−ii−i−iii-11-111-1-11-1-111-1-111-1-1−i−i−iiii−ii−ii−i−iii11-1-111-1-1−ii−ii
χ1211-1111-111-1-1111111-1-1-1-1-111-111-1-1111-1-11111-1-1−ii−i−iii-11-111-1-11-1-1-1-11111-1-1−i−i−iiii−iii−i−i−iii-1-111-1-111i−ii−i
χ1311-1111-111-1-111-1-111-1-1-1-1-111-111-1-111-111-1-1-1-111i−iii−i−i-11-111-1-1-11111-1-1-1-111iii−i−i−i−iii−i−i−iii11-1-1-1-111i−i−ii
χ1411-1111-111-1-111-1-111-1-1-1-1-111-111-1-111-111-1-1-1-111i−iii−i−i-11-111-1-1-111-1-111-1-111iii−i−i−i−ii−ii−i−iii-1-11111-1-1−iii−i
χ1511-1111-111-1-111-1-111-1-1-1-1-111-111-1-111-111-1-1-1-111−ii−i−iii-11-111-1-1-11111-1-1-1-111−i−i−iiiii−i−iiii−i−i11-1-1-1-111−iii−i
χ1611-1111-111-1-111-1-111-1-1-1-1-111-111-1-111-111-1-1-1-111−ii−i−iii-11-111-1-1-111-1-111-1-111−i−i−iiiii−ii−iii−i−i-1-11111-1-1i−i−ii
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
χ1922222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-20−i2i2−i2i2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ2022222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-20i2−i2i2−i2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ2122222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000220−i2i2−i2i2000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2222222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000220i2−i2i2−i2000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ232222-1222-1-1-12222-1-12-1-12-12-12-1-1-1-12222222-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-1-12-1-12-1-12200-1-1-1-1000000000000
χ242222-1222-1-1-12222-1-12-1-12-12-12-1-1-1-12222222-1-1-1-1-2-21111-1-12-1-1-1-1-1-120000-1-1-1-1-211-211-2-2001111000000000000
χ252222-1222-1-1-122-2-2-1-12-1-12-12-12-1-1-1-122-2-2-2-2-2111122-1-1-1-1-1-12-1-1-1-111-2000011112-1-12-1-1-2-2001111000000000000
χ262222-1222-1-1-122-2-2-1-12-1-12-12-12-1-1-1-122-2-2-2-2-21111-2-21111-1-12-1-1-1-111-200001111-211-2112200-1-1-1-1000000000000
χ272222-1222-1-1-1-2-222-1-12-1-1-2-12-121111-2-2222-2-2-1-1-1-100−i3i3−i3i3-1-1-21111-1-1-2000011110−i3i30−i3i30000−i3i3−i3i3000000000000
χ282222-1222-1-1-1-2-222-1-12-1-1-2-12-121111-2-2222-2-2-1-1-1-100i3−i3i3−i3-1-1-21111-1-1-2000011110i3−i30i3−i30000i3−i3i3−i3000000000000
χ292222-1222-1-1-1-2-2-2-2-1-12-1-1-2-12-121111-2-2-2-2-222111100−i3i3−i3i3-1-1-211111120000-1-1-1-10−i3i30−i3i30000i3−i3i3−i3000000000000
χ302222-1222-1-1-1-2-2-2-2-1-12-1-1-2-12-121111-2-2-2-2-222111100i3−i3i3−i3-1-1-211111120000-1-1-1-10i3−i30i3−i30000−i3i3−i3i3000000000000
χ31222-1222-12222200-1-1-1-1-122-12-12222-1-1000000000222222-1-1-1-1-1-1-100022220000-1-1-1-1-1-100220000-1-1-1-10000-1-100
χ32222-1222-12222200-1-1-1-1-122-12-12222-1-1000000000222222-1-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-100-2-20000111100001100
χ33222-1222-12222200-1-1-1-1-122-12-12222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-10002222000011111100-2-20000-1-1-1-100001100
χ34222-1222-12222200-1-1-1-1-122-12-12222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-1000-2-2-2-200001111110022000011110000-1-100
χ3522-2222-222-2-2-2-22222-2-2-22-222-2-2-222-2-22-2-2-2-222-2-2000000-222-2-2222-220000-2-22200000000000000000000000000
χ3622-2222-222-2-2-2-2-2-222-2-2-22-222-2-2-222-2-2-22222-2-222000000-222-2-222-22-2000022-2-200000000000000000000000000
χ3722-222-2222-2-2002222-2-2-202-2-22000000-22-20022-2-20000002-200000-220−i2i2i2−i2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ3822-222-2222-2-2002222-2-2-202-2-22000000-22-20022-2-20000002-200000-220i2−i2−i2i2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ3922-222-2222-2-200-2-222-2-2-202-2-220000002-2200-2-2220000002-2000002-20−i2i2i2−i2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ4022-222-2222-2-200-2-222-2-2-202-2-220000002-2200-2-2220000002-2000002-20i2−i2−i2i2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ4122-22-12-22-1112222-1-1-211-212-1-2-1-111222-2-222-1-1112i−2i−i−iii1-1-2-1-111-11-20000-1-1112i−i−i−2iii2i−2i00−i−iii000000000000
χ4222-22-12-22-1112222-1-1-211-212-1-2-1-111222-2-222-1-111−2i2iii−i−i1-1-2-1-111-11-20000-1-111−2iii2i−i−i−2i2i00ii−i−i000000000000
χ4322-22-12-22-11122-2-2-1-1-211-212-1-2-1-11122-222-2-211-1-12i−2i−i−iii1-1-2-1-1111-12000011-1-12i−i−i−2iii−2i2i00ii−i−i000000000000
χ4422-22-12-22-11122-2-2-1-1-211-212-1-2-1-11122-222-2-211-1-1−2i2iii−i−i1-1-2-1-1111-12000011-1-1−2iii2i−i−i2i−2i00−i−iii000000000000
χ4522-22-12-22-111-2-222-1-1-211212-1-211-1-1-2-22-2-2-2-2-1-111003−3−331-1211-1-1-112000011-1-103−30−3300003−3−33000000000000
χ4622-22-12-22-111-2-222-1-1-211212-1-211-1-1-2-22-2-2-2-2-1-11100−333−31-1211-1-1-112000011-1-10−3303−30000−333−3000000000000
χ4722-22-12-22-111-2-2-2-2-1-1-211212-1-211-1-1-2-2-2222211-1-1003−3−331-1211-1-11-1-20000-1-11103−30−330000−333−3000000000000
χ4822-22-12-22-111-2-2-2-2-1-1-211212-1-211-1-1-2-2-2222211-1-100−333−31-1211-1-11-1-20000-1-1110−3303−300003−3−33000000000000
χ4922-2-122-2-12-2-22200-1-1111-2-2-12122-2-2-1-10000000002i−2i2i2i−2i−2i1-11-1-11100022-2-20000−i−i−iiii002i−2i0000-1-1110000−ii00
χ5022-2-122-2-12-2-22200-1-1111-2-2-12122-2-2-1-10000000002i−2i2i2i−2i−2i1-11-1-111000-2-2220000−i−i−iiii00−2i2i000011-1-10000i−i00
χ5122-2-122-2-12-2-22200-1-1111-2-2-12122-2-2-1-1000000000−2i2i−2i−2i2i2i1-11-1-11100022-2-20000iii−i−i−i00−2i2i0000-1-1110000i−i00
χ5222-2-122-2-12-2-22200-1-1111-2-2-12122-2-2-1-1000000000−2i2i−2i−2i2i2i1-11-1-111000-2-2220000iii−i−i−i002i−2i000011-1-10000−ii00
χ534444-2-4-44-2-2-20044-2-24-2-202-42-4000000-4-4400-2-2-2-200000022000002200000000000000000000000000000000000
χ544444-2-4-44-2-2-200-4-4-2-24-2-202-42-400000044-40022220000002200000-2-200000000000000000000000000000000000
χ55444-2444-2444-4-400-2-2-2-2-2-44-24-2-4-4-4-422000000000000000-2-2222220000000000000000000000000000000000000
χ56444-24-4-4-24440000-2-2-2-2-20-42-420000000000000000000002200000000−2i22i2−2i22i2000000000000000000i2−i2i2−i200000000
χ57444-24-4-4-24440000-2-2-2-2-20-42-4200000000000000000000022000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i200000000
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
χ6244-44-2-444-2220044-2-2-4220-2-424000000-44-400-2-222000000-22000002-200000000000000000000000000000000000
χ6344-44-2-444-22200-4-4-2-2-4220-2-4240000004-440022-2-2000000-2200000-2200000000000000000000000000000000000
χ6444-4-244-4-24-4-4-4-400-2-22224-4-242-4-444220000000000000002-2-222-2-20000000000000000000000000000000000000
χ6544-4-24-44-24-4-40000-2-2222042-4-2000000000000000000000-2200000000−2i22i22i2−2i2000000000000000000i2−i2−i2i200000000
χ6644-4-24-44-24-4-40000-2-2222042-4-2000000000000000000000-22000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i200000000
χ6744-4-2-24-4-2-2224400112-1-1-42-2-22-2-222-2-20000000004i−4i−2i−2i2i2i-11211-1-100000000000−2iii2i−i−i00000000000000000000
χ6844-4-2-24-4-2-2224400112-1-1-42-2-22-2-222-2-2000000000−4i4i2i2i−2i−2i-11211-1-1000000000002i−i−i−2iii00000000000000000000
χ6944-4-2-24-4-2-222-4-400112-1-142-2-2222-2-2220000000000023−23−2323-11-2-1-111000000000000−3303−300000000000000000000
χ7044-4-2-24-4-2-222-4-400112-1-142-2-2222-2-22200000000000−232323−23-11-2-1-1110000000000003−30−3300000000000000000000
χ714-404400-4-400−2i22i24i−4i4-400000000−2i22i200−2i22i200022−224i−4i00000000000−2i22i200000000022−220000000000000000000000000000
χ724-404400-4-400−2i22i2−4i4i4-400000000−2i22i200−2i22i2000−2222−4i4i00000000000−2i22i2000000000−22220000000000000000000000000000
χ734-404400-4-4002i2−2i24i−4i4-4000000002i2−2i2002i2−2i2000−22224i−4i000000000002i2−2i2000000000−22220000000000000000000000000000
χ744-404400-4-4002i2−2i2−4i4i4-4000000002i2−2i2002i2−2i200022−22−4i4i000000000002i2−2i200000000022−220000000000000000000000000000
χ754-404-200-42−2i32i3−2i22i24i−4i-220−2i32i300000i2−i26−6−2i22i200022−22−2i2i23−23000000000i2−i26−60000000−22i6−i600000000000000000000000000
χ764-404-200-42−2i32i3−2i22i2−4i4i-220−2i32i300000i2−i26−6−2i22i2000−22222i−2i−2323000000000i2−i26−600000002−2−i6i600000000000000000000000000
χ774-404-200-42−2i32i32i2−2i24i−4i-220−2i32i300000−i2i2−662i2−2i2000−2222−2i2i23−23000000000−i2i2−6600000002−2−i6i600000000000000000000000000
χ784-404-200-42−2i32i32i2−2i2−4i4i-220−2i32i300000−i2i2−662i2−2i200022−222i−2i−2323000000000−i2i2−660000000−22i6−i600000000000000000000000000
χ794-404-200-422i3−2i3−2i22i24i−4i-2202i3−2i300000i2−i2−66−2i22i200022−22−2i2i−2323000000000i2−i2−660000000−22−i6i600000000000000000000000000
χ804-404-200-422i3−2i3−2i22i2−4i4i-2202i3−2i300000i2−i2−66−2i22i2000−22222i−2i23−23000000000i2−i2−6600000002−2i6−i600000000000000000000000000
χ814-404-200-422i3−2i32i2−2i24i−4i-2202i3−2i300000−i2i26−62i2−2i2000−2222−2i2i−2323000000000−i2i26−600000002−2i6−i600000000000000000000000000
χ824-404-200-422i3−2i32i2−2i2−4i4i-2202i3−2i300000−i2i26−62i2−2i200022−222i−2i23−23000000000−i2i26−60000000−22−i6i600000000000000000000000000
χ83888-4-4-8-8-4-4-4-4000022-42204444000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-4-4-88-4-4440000224-2-20-444-40000000000000000000002-2000000000000000000000000000000000000000000
χ858-80-48004-800−4i24i200-4400000000−4i24i2002i2−2i20000000000000000002i2−2i2000000000000000000000000000000000000000
χ868-80-48004-8004i2−4i200-44000000004i2−4i200−2i22i2000000000000000000−2i22i2000000000000000000000000000000000000000
χ878-80-4-40044−4i34i3−4i24i2002-202i3−2i3000002i2−2i226−262i2−2i2000000000000000000−i2i2−660000000000000000000000000000000000000
χ888-80-4-40044−4i34i34i2−4i2002-202i3−2i300000−2i22i2−2626−2i22i2000000000000000000i2−i26−60000000000000000000000000000000000000
χ898-80-4-400444i3−4i3−4i24i2002-20−2i32i3000002i2−2i2−26262i2−2i2000000000000000000−i2i26−60000000000000000000000000000000000000
χ908-80-4-400444i3−4i34i2−4i2002-20−2i32i300000−2i22i226−26−2i22i2000000000000000000i2−i2−660000000000000000000000000000000000000

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