Finite Group Databasebeta

← Group #11784981

Character table — Group #11784981

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order1222233444466121212122234466666666612121212121212121212666666666612121212121212121212444488881212121212121212242424242424242422222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ9111-1-11111-1-111-1-1-1-1111-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-111-1-11-1
χ10111-1-11111-1-111-1-1-1-1111-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-1-111-11
χ11111-1-11111-1-111-1-1-1-1111-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-1-111-11
χ12111-1-11111-1-111-1-1-1-1111-1-111-1-1111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-111-1-11-1
χ13111-1-11111-1-111-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-1-1-1111-1
χ14111-1-11111-1-111-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1111-1-1-11
χ15111-1-11111-1-111-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1111-1-1-11
χ16111-1-11111-1-111-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-1-1-1111-1
χ172222222-2-2-2-222-2-2-2-200200222222222-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000002-20000-22
χ182222222-2-2-2-222-2-2-2-200200222222222-2-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000-2200002-2
χ19222222-122222-122-1-122-1222-12-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
χ20222222-122222-122-1-122-1222-12-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000
χ21222222-122222-122-1-1-2-2-1-2-22-12-1-1-1-12-122-1-12-1-1-1-1-1-2-211-1-11111-2-211-1-11111002200-2-20000-1-1-1-10000111100000000
χ22222222-122222-122-1-1-2-2-1-2-22-12-1-1-1-12-122-1-12-1-1-1-1-1-2-211-1-11111-2-211-1-1111100-2-20022000011110000-1-1-1-100000000
χ2322222-122222-12-1-12222-122-12-12-1-1-1-12-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000
χ2422222-122222-12-1-12222-122-12-12-1-1-1-12-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200111100001111000000000000
χ2522222-122222-12-1-122-2-2-1-2-2-12-12-1-1-1-12-1-122-12-1-1-1-111-2-2-1-1111111-2-2-1-111112200-2-200-1-1-1-100001111000000000000
χ2622222-122222-12-1-122-2-2-1-2-2-12-12-1-1-1-12-1-122-12-1-1-1-111-2-2-1-1111111-2-2-1-11111-2-200220011110000-1-1-1-1000000000000
χ27222-2-222-2-2222222220020022-2-2222-2-2-2-2-2-22222220000-2-200000000-2-20000000000000000000000000000220000-2-2
χ28222-2-222-2-2222222220020022-2-2222-2-2-2-2-2-22222220000-2-200000000-2-20000000000000000000000000000-2-2000022
χ29222-2-22-122-2-22-1-2-21122-1-2-22-1-21-1-1-1-2122-1-1-21111122-1-111-1-1-1-1-2-211-1-11111002i−2i002i−2i0000−i−iii0000−i−iii00000000
χ30222-2-22-122-2-22-1-2-21122-1-2-22-1-21-1-1-1-2122-1-1-21111122-1-111-1-1-1-1-2-211-1-1111100−2i2i00−2i2i0000ii−i−i0000ii−i−i00000000
χ31222-2-22-122-2-22-1-2-211-2-2-1222-1-21-1-1-1-2122-1-1-211111-2-21111111122-1-1-1-1-1-1-1-1002i−2i00−2i2i0000−i−iii0000ii−i−i00000000
χ32222-2-22-122-2-22-1-2-211-2-2-1222-1-21-1-1-1-2122-1-1-211111-2-21111111122-1-1-1-1-1-1-1-100−2i2i002i−2i0000ii−i−i0000−i−iii00000000
χ33222-2-2-1222-2-2-1211-2-222-1-2-2-121-2-1-1-11-2-1-1221-21111-1-12211-1-1-1-111-2-2-1-111112i−2i002i−2i00−i−iii0000−i−iii000000000000
χ34222-2-2-1222-2-2-1211-2-222-1-2-2-121-2-1-1-11-2-1-1221-21111-1-12211-1-1-1-111-2-2-1-11111−2i2i00−2i2i00ii−i−i0000ii−i−i000000000000
χ35222-2-2-1222-2-2-1211-2-2-2-2-122-121-2-1-1-11-2-1-1221-2111111-2-2111111-1-122-1-1-1-1-1-12i−2i00−2i2i00−i−iii0000ii−i−i000000000000
χ36222-2-2-1222-2-2-1211-2-2-2-2-122-121-2-1-1-11-2-1-1221-2111111-2-2111111-1-122-1-1-1-1-1-1−2i2i002i−2i00ii−i−i0000−i−iii000000000000
χ3722-22-2222-22-22222-2-200200-2-22-2-2-22-222-22-2-2222-2-200002-2000000002-20000000000000000000000000000002-22-200
χ3822-22-2222-22-22222-2-200200-2-22-2-2-22-222-22-2-2222-2-200002-2000000002-2000000000000000000000000000000-22-2200
χ3922-22-222-22-2222-2-2222-222-2-2-22-2-2-22-22-22-222-2-2-2222-22-22-222-2-22-22-2-2222-2-200000000000000000000000000000000
χ4022-22-222-22-2222-2-222-222-22-2-22-2-2-22-22-22-222-2-2-222-22-222-2-2-222-22-22-22-2-22200000000000000000000000000000000
χ4122-22-22-1-22-222-1-2-2-1-12-2-12-2-212111-1-2-1-221-12111-1-12-2-11-11-1-1112-2-111-1-1-111000000000000−i3i3−i3i30000−i3i3−i3i300000000
χ4222-22-22-1-22-222-1-2-2-1-12-2-12-2-212111-1-2-1-221-12111-1-12-2-11-11-1-1112-2-111-1-1-111000000000000i3−i3i3−i30000i3−i3i3−i300000000
χ4322-22-22-1-22-222-1-2-2-1-1-22-1-22-212111-1-2-1-221-12111-1-1-221-1-1111-1-1-221-11-111-1-1000000000000−i3i3−i3i30000i3−i3i3−i300000000
χ4422-22-22-1-22-222-1-2-2-1-1-22-1-22-212111-1-2-1-221-12111-1-1-221-1-1111-1-1-221-11-111-1-1000000000000i3−i3i3−i30000−i3i3−i3i300000000
χ4522-22-2-12-22-22-1211222-2-12-21-2-1-211-1121-1-22-1-211-1-1-112-2-11-1-111-112-21-1-1-111000000003−33−300003−33−3000000000000
χ4622-22-2-12-22-22-1211222-2-12-21-2-1-211-1121-1-22-1-211-1-1-112-2-11-1-111-112-21-1-1-11100000000−33−330000−33−33000000000000
χ4722-22-2-12-22-22-121122-22-1-221-2-1-211-1121-1-22-1-211-1-11-1-22-1111-1-11-1-221-111-1-1000000003−33−30000−33−33000000000000
χ4822-22-2-12-22-22-121122-22-1-221-2-1-211-1121-1-22-1-211-1-11-1-22-1111-1-11-1-221-111-1-100000000−33−3300003−33−3000000000000
χ4922-2-22222-2-2222-2-22200200-2-2-22-2-222-22-22-22-2-2-2220000-22000000002-20000000000000000000000000000002-2-2200
χ5022-2-22222-2-2222-2-22200200-2-2-22-2-222-22-22-22-2-2-2220000-22000000002-2000000000000000000000000000000-222-200
χ5122-2-2222-222-22222-2-22-22-22-2-2-22-2-222-2-22-22-2222-2-22-22-2-2222-2-2-22-22-22-2-22200000000000000000000000000000000
χ5222-2-2222-222-22222-2-2-2222-2-2-2-22-2-222-2-22-22-2222-2-2-22-22-22-2-2222-22-2-2222-2-200000000000000000000000000000000
χ5322-2-222-1-222-22-122112-2-1-22-21-2-111-121-221-1-2-1-1-1112-2-111-1-1-111-221-11-111-1-10000000000003−3−3300003−3−3300000000
χ5422-2-222-1-222-22-122112-2-1-22-21-2-111-121-221-1-2-1-1-1112-2-111-1-1-111-221-11-111-1-1000000000000−333−30000−333−300000000
χ5522-2-222-1-222-22-12211-22-12-2-21-2-111-121-221-1-2-1-1-111-221-11-111-1-12-2-111-1-1-1110000000000003−3−330000−333−300000000
χ5622-2-222-1-222-22-12211-22-12-2-21-2-111-121-221-1-2-1-1-111-221-11-111-1-12-2-111-1-1-111000000000000−333−300003−3−3300000000
χ5722-2-22-12-222-2-12-1-1-2-22-2-1-221-21211-1-1-21-1-2212-1-111-112-21-1-1-1111-1-221-111-1-100000000−i3i3i3−i30000−i3i3i3−i3000000000000
χ5822-2-22-12-222-2-12-1-1-2-22-2-1-221-21211-1-1-21-1-2212-1-111-112-21-1-1-1111-1-221-111-1-100000000i3−i3−i3i30000i3−i3−i3i3000000000000
χ5922-2-22-12-222-2-12-1-1-2-2-22-12-21-21211-1-1-21-1-2212-1-1111-1-221-111-1-1-112-21-1-1-11100000000−i3i3i3−i30000i3−i3−i3i3000000000000
χ6022-2-22-12-222-2-12-1-1-2-2-22-12-21-21211-1-1-21-1-2212-1-1111-1-221-111-1-1-112-21-1-1-11100000000i3−i3−i3i30000−i3i3i3−i3000000000000
χ61444444-2-4-4-4-44-2-4-42200-2004-24-2-2-2-24-2-4-422-4222220000-2-20000000022000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2422-4-400-200-24-24-2-2-2-2422-4-42-422220000-2-20000000022000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-2-2-2-2-21111222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2222200100-2-2-2-2111-2-2222222-1-1-1-10000113-33-30000-1-13-33-300000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2222200100-2-2-2-2111-2-2222222-1-1-1-1000011-33-330000-1-1-33-3300000000000000000000000000000000
χ67444-4-44-2-4-4444-244-2-200-2004-2-42-2-2-2-42-4-4224-2-2-2-2-20000220000000022000000000000000000000000000000000000
χ68444-4-4-24-4-444-24-2-24400-200-242-4-2-2-22-422-4-4-24-2-2-2-20000220000000022000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-22222441-4-4-2-22211122-2-2-2-222-1-1-1-1-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-22222-4-4144-2-22211122-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2-2-2-2-200100-2-222111222222-2-211110000-1-13-33-30000-1-1-33-3300000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2-2-2-2-200100-2-222111222222-2-211110000-1-1-33-330000-1-13-33-300000000000000000000000000000000
χ7344-44-44-24-44-44-2442200-200-424222-2-4-24-4-22-4-2-2-2220000-2200000000-22000000000000000000000000000000000000
χ7444-44-4-244-44-4-24-2-2-4-400-2002-4-2-422-224-224-424-2-2220000-2200000000-22000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2220010022-22-1-112-2-22-222-211-1-100001-13-3-3300001-13-3-3300000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-2220010022-22-1-112-2-22-222-211-1-100001-1-333-300001-1-333-300000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-222-2-24-414-422-22-1-112-22-22-2-22-1-111-22-221-111-1-1-22-22-1111-1-100000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-222-2-2-441-4422-22-1-112-22-22-2-22-1-1112-22-21-1-1-1112-22-2-11-1-11100000000000000000000000000000000
χ7944-4-444-24-4-444-2-4-4-2-200-200-42-4-222-2424-4-224222-2-200002-200000000-22000000000000000000000000000000000000
χ8044-4-44-244-4-44-24224400-2002-42422-2-2-4-224-4-2-422-2-200002-200000000-22000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-222-2-200100222-2-1-11-22-22-22-22-1-1110000-113-3-3300001-1-333-300000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-222-2-200100222-2-1-11-22-22-22-22-1-1110000-11-333-300001-13-3-3300000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-2-2-2224-41-44222-2-1-11-222-22-22-211-1-1-22-22-1111-1-12-22-2-11-1-11100000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-2-2-222-4414-4222-2-1-11-222-22-22-211-1-12-22-2-11-1-111-22-22-1111-1-100000000000000000000000000000000
χ858-8000880000-8-8000000800000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−4300-4000000004000000000043−430000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−434300-40000000040000000000−43430000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−430000-40000000040000000043−43000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−43430000-400000000400000000−4343000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−430020000006-6-200000000−2323−23230000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−4343002000000-66-200000000−232323−230000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−43002000000-66-20000000023−23−23230000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−43430020000006-6-20000000023−2323−230000000000000000000000000000000000000000000000000000

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