Finite Group Databasebeta

← Group #11788793

Character table — Group #11788793

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466121212123666666666121212121212121212122466666666661212121212121212121244444444888812121212121212122424242424242424222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-1
χ1011-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-11
χ1111-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-11
χ1211-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-1
χ1311-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-1-11
χ1411-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-1111-1
χ1511-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-1111-1
χ1611-1-111111-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iiii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-1-11
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000002-22-200
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000-22-2200
χ19222222-122222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ20222222-122222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ21222222-122222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000222200-2-20000-1-1-1-100001111000000
χ22222222-122222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000-2-2-2-20022000011110000-1-1-1-1000000
χ2322222-122222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ2422222-122222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ2522222-122222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111122220000-2-200-1-1-1-1000011110000000000
χ2622222-122222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-20000220011110000-1-1-1-10000000000
χ27222-2-2222-22-22222-2-22-2-222-2-22-2-22-22-2-2222-2-20000002-2000000002-2000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ28222-2-2222-22-22222-2-22-2-222-2-22-2-22-22-2-2222-2-20000002-2000000002-200000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ29222-2-222-22-2222-2-2222-2-222-2-22-2-2-22-222-2-2-2220000002-200000000-2200002i−2i2i−2i000000002i−2i2i−2i000000000000000000
χ30222-2-222-22-2222-2-2222-2-222-2-22-2-2-22-222-2-2-2220000002-200000000-220000−2i2i−2i2i00000000−2i2i−2i2i000000000000000000
χ31222-2-22-12-22-22-12211-1-212-111-1-212-2-11-2-1-1-1110000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i300002i−2i2i−2i00000000−ii−ii00003−33−3000000
χ32222-2-22-12-22-22-12211-1-212-111-1-212-2-11-2-1-1-1110000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000−2i2i−2i2i00000000i−ii−i0000−33−33000000
χ33222-2-22-12-22-22-12211-1-212-111-1-212-2-11-2-1-1-1110000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i300002i−2i2i−2i00000000−ii−ii0000−33−33000000
χ34222-2-22-12-22-22-12211-1-212-111-1-212-2-11-2-1-1-1110000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000−2i2i−2i2i00000000i−ii−i00003−33−3000000
χ35222-2-2-12-22-22-121122-11-2-1211-11-21-1-22-1-211-1-100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i32i−2i2i−2i00000000−ii−ii00003−33−30000000000
χ36222-2-2-12-22-22-121122-11-2-1211-11-21-1-22-1-211-1-100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i3−2i2i−2i2i00000000i−ii−i0000−33−330000000000
χ37222-2-2-12-22-22-121122-11-2-1211-11-21-1-22-1-211-1-100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i32i−2i2i−2i00000000−ii−ii0000−33−330000000000
χ38222-2-2-12-22-22-121122-11-2-1211-11-21-1-22-1-211-1-100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i3−2i2i−2i2i00000000i−ii−i00003−33−30000000000
χ3922-22-2222-2-2222-2-2222-2-2-2-2-2-22222-22-22-2-2-222000000-22000000002-2000000002-2-22000000002-2-2200000000000000
χ4022-22-2222-2-2222-2-2222-2-2-2-2-2-22222-22-22-2-2-222000000-22000000002-200000000-222-200000000-222-200000000000000
χ4122-22-222-222-22222-2-22-2-2-2-2-2-2222-22-22-2222-2-2000000-2200000000-2200002-2-22000000002-2-22000000000000000000
χ4222-22-222-222-22222-2-22-2-2-2-2-2-2222-22-22-2222-2-2000000-2200000000-220000-222-200000000-222-2000000000000000000
χ4322-22-22-12-2-222-1-2-2-1-1-1-21-2111-12-12-2-112111-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i300002-2-2200000000-111-10000−i3i3i3−i3000000
χ4422-22-22-12-2-222-1-2-2-1-1-1-21-2111-12-12-2-112111-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i30000-222-2000000001-1-110000i3−i3−i3i3000000
χ4522-22-22-12-2-222-1-2-2-1-1-1-21-2111-12-12-2-112111-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i300002-2-2200000000-111-10000i3−i3−i3i3000000
χ4622-22-22-12-2-222-1-2-2-1-1-1-21-2111-12-12-2-112111-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i30000-222-2000000001-1-110000−i3i3i3−i3000000
χ4722-22-2-12-222-2-12-1-1-2-2-11-21-211-1-121-1-2212-1-11100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i32-2-2200000000-111-10000−i3i3i3−i30000000000
χ4822-22-2-12-222-2-12-1-1-2-2-11-21-211-1-121-1-2212-1-11100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i3-222-2000000001-1-110000i3−i3−i3i30000000000
χ4922-22-2-12-222-2-12-1-1-2-2-11-21-211-1-121-1-2212-1-11100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i32-2-2200000000-111-10000i3−i3−i3i30000000000
χ5022-22-2-12-222-2-12-1-1-2-2-11-21-211-1-121-1-2212-1-11100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i3-222-2000000001-1-110000−i3i3i3−i30000000000
χ5122-2-2222-2-222222222222-2-2222-2-2-2-2-2-2222222000000-2-200000000-2-2000000000000000000000000000000002-2-2200
χ5222-2-2222-2-222222222222-2-2222-2-2-2-2-2-2222222000000-2-200000000-2-200000000000000000000000000000000-222-200
χ5322-2-222-122-2-22-1-2-211-12-1-21-1-1-1-2122-1-1-2111112-222-1-111-1-1-1-1-2-211-1-1111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ5422-2-222-122-2-22-1-2-211-12-1-21-1-1-1-2122-1-1-2111112-222-1-111-1-1-1-1-2-211-1-111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ5522-2-222-122-2-22-1-2-211-12-1-21-1-1-1-2122-1-1-211111-22-2-21111111122-1-1-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000−i−iii0000ii−i−i000000
χ5622-2-222-122-2-22-1-2-211-12-1-21-1-1-1-2122-1-1-211111-22-2-21111111122-1-1-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000ii−i−i0000−i−iii000000
χ5722-2-22-1222-2-2-1211-2-2-1-121-2-1-1-11-2-1-1221-211112-2-1-12211-1-1-1-111-2-2-1-111112i2i−2i−2i00002i−2i00−i−iii0000−i−iii0000000000
χ5822-2-22-1222-2-2-1211-2-2-1-121-2-1-1-11-2-1-1221-211112-2-1-12211-1-1-1-111-2-2-1-11111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i0000000000
χ5922-2-22-1222-2-2-1211-2-2-1-121-2-1-1-11-2-1-1221-21111-2211-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i0000−2i2i00−i−iii0000ii−i−i0000000000
χ6022-2-22-1222-2-2-1211-2-2-1-121-2-1-1-11-2-1-1221-21111-2211-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i00002i−2i00ii−i−i0000−i−iii0000000000
χ61444444-2-4-4-4-44-2-4-422-24-24-2-2-2-24-2-4-422-422222000000-2-2000000002200000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2422-4-4-2-24-24-2-2-2-2422-4-42-42222000000-2-2000000002200000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-2222222-1-1-1-1000000113-3-330000-1-13-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-2222222-1-1-1-100000011-333-30000-1-1-333-30000000000000000000000000000000000
χ67444-4-44-2-44-444-2-4-4-2-2-2-424-222-2-42-442-24222-2-2000000-22000000002-200000000000000000000000000000000000000
χ68444-4-4-244-44-4-24-2-2-4-4-22-4-2422-22-4-224-424-2-222000000-2200000000-2200000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-222122-2-2-1-1122-22-222-211-1-10000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-222122-2-2-1-1122-22-222-211-1-100002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-222-2-2122-2-2-1-11222-22-2-22-1-11100−2i32i3001-1i3−i3i3−i3−2i32i300-11i3−i3i3−i30000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-222-2-2122-2-2-1-11222-22-2-22-1-111002i3−2i3001-1−i3i3−i3i32i3−2i300-11−i3i3−i3i30000000000000000000000000000000000
χ7344-44-44-2-444-44-24422-2-42-4222-24-2-442-2-4-2-2-2220000002-2000000002-200000000000000000000000000000000000000
χ7444-44-4-244-4-44-242244-22-42-422-2-24-224-4-2-422-2-20000002-200000000-2200000000000000000000000000000000000000
χ7544-44-4-2-24-4-44-2-222-2-212222-1-11-2-2-22-22-22-1-1110000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000
χ7644-44-4-2-24-4-44-2-222-2-212222-1-11-2-2-22-22-22-1-11100002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i30000000000000000000000000000000000
χ7744-44-4-2-2-444-4-2-2-2-22212222-1-11-2-22-22-22-211-1-100−2i32i300-11i3−i3i3−i32i3−2i300-11−i3i3−i3i30000000000000000000000000000000000
χ7844-44-4-2-2-444-4-2-2-2-22212222-1-11-2-22-22-22-211-1-1002i3−2i300-11−i3i3−i3i3−2i32i300-11i3−i3i3−i30000000000000000000000000000000000
χ7944-4-444-2-4-4444-244-2-2-24-2-42-2-2-2-42-4-4224-2-2-2-2-200000022000000002200000000000000000000000000000000000000
χ8044-4-44-24-4-444-24-2-244-2-242-4-2-2-22-422-4-4-24-2-2-2-200000022000000002200000000000000000000000000000000000000
χ8144-4-44-2-244-4-4-2-222221-2-22211122-2-2-2-222-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ8244-4-44-2-244-4-4-2-222221-2-22211122-2-2-2-222-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ8344-4-44-2-2-4-444-2-2-2-2-2-21-2-222111222222-2-21111000000-1-13-3-330000-1-1-333-30000000000000000000000000000000000
χ8444-4-44-2-2-4-444-2-2-2-2-2-21-2-222111222222-2-21111000000-1-1-333-30000-1-13-3-330000000000000000000000000000000000
χ858-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-40000004000000000043−4300000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-400000040000000000−434300000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-400000040000000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-4000000400000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−43200006-6-200000000−2323−232300000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−434320000-66-200000000−232323−2300000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−4320000-66-20000000023−23−232300000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−4343200006-6-20000000023−2323−2300000000000000000000000000000000000000000000000000000000

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