Finite Group Databasebeta

← Group #11788817

Character table — Group #11788817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466121212123666666666121212121212121212126688121224242424242424242424242424242424444444442444661212121212121212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i1-11-111-1-1ii−i−iii−i−i11-1-111-1-1i−i
χ1011-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−i−i−iii1-1-1111-1-1ii−i−i−i−iii-1-111-1-111−ii
χ1111-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i-111-1-1-111−i−iiiii−i−i11-1-1-1-111−ii
χ1211-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii-11-11-1-111−i−iii−i−iii-1-11111-1-1i−i
χ1311-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−iii−i−i-11-11-1-111ii−i−iii−i−i-1-11111-1-1−ii
χ1411-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−iii-111-1-1-111ii−i−i−i−iii11-1-1-1-111i−i
χ1511-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−i−iiiii−i−i1-1-1111-1-1−i−iiiii−i−i-1-111-1-111i−i
χ1611-11-11111-1-11111-1-11-11-1-1-111-1-11-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−iii1-11-111-1-1−i−iii−i−iii11-1-111-1-1−ii
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000002-22-200
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000-22-2200
χ19222222-122222-122-1-1-12-1-1-1-1-122-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ20222222-122222-122-1-1-12-1-1-1-1-122-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ21222222-122222-122-1-1-12-1-1-1-1-122-122-1-1-1-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2001111-1-1-1-100000000000000
χ22222222-122222-122-1-1-12-1-1-1-1-122-122-1-1-1-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-200002200-1-1-1-1111100000000000000
χ2322222-122222-12-1-122-1-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ2422222-122222-12-1-122-1-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ2522222-122222-12-1-122-1-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000222200-2-200000000-1-1-1-11111000000
χ2622222-122222-12-1-122-1-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20022000000001111-1-1-1-1000000
χ27222-2-2222-22-222222222-22222-2-2-2-2-22-2-222222-2-200-2-2000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ28222-2-2222-22-222222222-22222-2-2-2-2-22-2-222222-2-200-2-200000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ29222-2-222-22-2222-2-2-2-222-22222-2-2-222-222-2-2-2-2-2-2-2002200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ30222-2-222-22-2222-2-2-2-222-22222-2-2-222-222-2-2-2-2-2-2-200220000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ31222-2-22-1-22-222-1-2-211-121-1-1-1-1-2-21221-1-111-2111100-1-13−33−30033−3−30033−3−32i−2i2i−2i00000000−i3i3−i3i3−ii−ii00000000000000
χ32222-2-22-1-22-222-1-2-211-121-1-1-1-1-2-21221-1-111-2111100-1-13−33−30033−3−30033−3−3−2i2i−2i2i00000000i3−i3i3−i3i−ii−i00000000000000
χ33222-2-22-1-22-222-1-2-211-121-1-1-1-1-2-21221-1-111-2111100-1-1−33−3300−3−33300−3−3332i−2i2i−2i00000000i3−i3i3−i3−ii−ii00000000000000
χ34222-2-22-1-22-222-1-2-211-121-1-1-1-1-2-21221-1-111-2111100-1-1−33−3300−3−33300−3−333−2i2i−2i2i00000000−i3i3−i3i3i−ii−i00000000000000
χ35222-2-2-122-22-2-12-1-122-1-1-22-1-1-111-2112-2-2-1-1-1-1-11100110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ36222-2-2-122-22-2-12-1-122-1-1-22-1-1-111-2112-2-2-1-1-1-1-11100110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ37222-2-2-122-22-2-12-1-122-1-1-22-1-1-111-2112-2-2-1-1-1-1-11100110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ38222-2-2-122-22-2-12-1-122-1-1-22-1-1-111-2112-2-2-1-1-1-1-11100110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ3922-22-222-2-22222-2-2222-22-2-2-222-2-2-22-2-22-2-22222-200-22000000000000000000000000000000000000000000002-2-2200
χ4022-22-222-2-22222-2-2222-22-2-2-222-2-2-22-2-22-2-22222-200-2200000000000000000000000000000000000000000000-222-200
χ4122-22-22-122-2-22-12211-1-2-1111-12-212-2-1-11-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i00002-200-1-111−i−iii00000000000000
χ4222-22-22-122-2-22-12211-1-2-1111-12-212-2-1-11-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii−2i−2i2i2i0000-220011-1-1ii−i−i00000000000000
χ4322-22-22-122-2-22-12211-1-2-1111-12-212-2-1-11-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i2i2i−2i−2i0000-220011-1-1−i−iii00000000000000
χ4422-22-22-122-2-22-12211-1-2-1111-12-212-2-1-11-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i00002-200-1-111ii−i−i00000000000000
χ4522-22-2-1222-2-2-12-1-1-2-2-112-211-1-11-2-1122-2-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00002i2i−2i−2i002-200000000−i−iii-1-111000000
χ4622-22-2-1222-2-2-12-1-1-2-2-112-211-1-11-2-1122-2-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii0000−2i−2i2i2i00-2200000000ii−i−i11-1-1000000
χ4722-22-2-1222-2-2-12-1-1-2-2-112-211-1-11-2-1122-2-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00002i2i−2i−2i00-2200000000−i−iii11-1-1000000
χ4822-22-2-1222-2-2-12-1-1-2-2-112-211-1-11-2-1122-2-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000−2i−2i2i2i002-200000000ii−i−i-1-111000000
χ4922-2-22222-2-222222-2-22-2-2-2-2-22-222-222-2222-2-2-2-2200-22000000000000000000002-2-220000000000002-2-220000000000
χ5022-2-22222-2-222222-2-22-2-2-2-2-22-222-222-2222-2-2-2-2200-2200000000000000000000-222-2000000000000-222-20000000000
χ5122-2-2222-222-222-2-2222-2-2-2-2-22-2222-2-22-2-2-2222-22002-200000000000000002-2-220000000000002-2-2200000000000000
χ5222-2-2222-222-222-2-2222-2-2-2-2-22-2222-2-22-2-2-2222-22002-20000000000000000-222-2000000000000-222-200000000000000
χ5322-2-222-1-222-22-1-2-2-1-1-1-21111-1-22-12-21-11112-1-11-100-11−i3i3i3−i300−i3−i3i3i300i3i3−i3−i32-2-2200000000−i3i3i3−i3-111-100000000000000
χ5422-2-222-1-222-22-1-2-2-1-1-1-21111-1-22-12-21-11112-1-11-100-11−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3-222-200000000i3−i3−i3i31-1-1100000000000000
χ5522-2-222-1-222-22-1-2-2-1-1-1-21111-1-22-12-21-11112-1-11-100-11i3−i3−i3i300i3i3−i3−i300−i3−i3i3i32-2-2200000000i3−i3−i3i3-111-100000000000000
χ5622-2-222-1-222-22-1-2-2-1-1-1-21111-1-22-12-21-11112-1-11-100-11i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3-222-200000000−i3i3i3−i31-1-1100000000000000
χ5722-2-22-122-2-22-12-1-1-2-2-11-2-211-11-121-12-22-1-11111-1001-100003−33−33−3−33−33−3300002-2-22000000000000-111-1−333−3000000
χ5822-2-22-122-2-22-12-1-1-2-2-11-2-211-11-121-12-22-1-11111-1001-100003−33−33−3−33−33−330000-222-20000000000001-1-113−3−33000000
χ5922-2-22-122-2-22-12-1-1-2-2-11-2-211-11-121-12-22-1-11111-1001-10000−33−33−333−33−33−300002-2-22000000000000-111-13−3−33000000
χ6022-2-22-122-2-22-12-1-1-2-2-11-2-211-11-121-12-22-1-11111-1001-10000−33−33−333−33−33−30000-222-20000000000001-1-11−333−3000000
χ61444444-2-4-4-4-44-2-4-422-24-2-2-2-2-244-2-4-422222-422-2-2002200000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2422-4-4-2-244-2-2-2-2-2422-4-4-422222-2-2002200000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2-211-211114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2-211-21111-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2111-2-2-222222-1-12-1-11100-1-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-222221-2-2-2111-2-2-222222-1-12-1-11100-1-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ67444-4-44-24-44-44-244-2-2-242-2-2-2-2-4-42-4-4-222-2-24-2-222002200000000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44-2422-4-4-2-2-44-2-2-222-4-2-2-444222222200-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-21-22-211122222-22211-211-1-100-1-10000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-21-22-211122222-22211-211-1-100-1-100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-222221-22-2111222-2-22-2-2-1-12-1-1-1-1001123−2323−2300−3−33300−3−3330000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-222221-22-2111222-2-22-2-2-1-12-1-1-1-10011−2323−23230033−3−30033−3−30000000000000000000000000000000000
χ7344-44-44-2-4-4444-2-4-4-2-2-2-4-2222-24-42-4422-2224-2-2-22002-200000000000000000000000000000000000000000000000000
χ7444-44-4-24-4-444-242244-224-422-2-22-42-2-4-4422-2-2-2-22002-200000000000000000000000000000000000000000000000000
χ7544-44-4-2-244-4-4-2-2-2-22212-22-1-11-222-22-2-22112-1-11-14i−4i1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ7644-44-4-2-244-4-4-2-2-2-22212-22-1-11-222-22-2-22112-1-11-1−4i4i1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ7744-44-4-2-2-4-444-2-222-2-212-22-1-11-2222-222-2-1-1-2111-100-110000003-3-3300-333-30000000000000000000000000000000000
χ7844-44-4-2-2-4-444-2-222-2-212-22-1-11-2222-222-2-1-1-2111-100-11000000-333-3003-3-330000000000000000000000000000000000
χ7944-4-444-24-4-444-24422-2-42222-2-44-2-44-22-2-2-2-4222-2002-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-242244-22-4-422-22-24-22-44-422-2-2-22-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-2221222-1-112-2-22-2-22-2112-1-1-1100-11000023−23−33−33−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-2221222-1-112-2-22-2-22-2112-1-1-1100-110000−23233−33−323−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-21222-1-112-2-2-222-22-1-1-211-11001-1−2i32i32i3−2i300i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-21222-1-112-2-2-222-22-1-1-211-11001-12i3−2i3−2i32i300−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000
χ858-8000880000-8-80000800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-40000040000000000043−4300000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-400000400000000000−434300000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-40000040000000043−4300000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-400000400000000−434300000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4320006-6-200000000−23230−232300000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43432000-66-200000000−2323023−2300000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−432000-66-20000000023−230−232300000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434320006-6-20000000023−23023−2300000000000000000000000000000000000000000000000000000000

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