Finite Group Databasebeta

← Group #11876987

Character table — Group #11876987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order122233446666663666881212121224242424444444444412121212121224242424242488881212121212121212242424241212121212122244666624242488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-11-11-111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-11-11-1-111-1-111-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-111-1-11-1-1111-1-1-1-1-1-111-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-111-1-1-111-1-1-1-1111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1-1-11111-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-1-1111-1-111-1-111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-11-11-1-1111111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1111-11-111-1-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-222-2-2000000-2-2000000000022-2-222-2-2000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-2000000000022-2-2-2-22200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-20000000000-2-22222-2-200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-222000000-2-20000000000-2-222-2-222000000000000000000002-2000000
χ2122222-1222-1-1-122-1-1-1-1222-12-122222222000022-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000022-1-1-1-12200-1-1-1-1-1-100000000
χ2222222-1222-1-1-122-1-1-1-1222-12-1222222220000-2-21111-1-1-1-1-1-1-1-12200-1-1-1-100000000-2-21111-2-2001111-1-100000000
χ2322222-1222-1-1-122-1-1-1-1222-12-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-2-20011110000000022-1-1-1-1-2-20011111100000000
χ2422222-1222-1-1-122-1-1-1-1222-12-12222-2-2-2-20000-2-21111-1-1-1-1-1-1-1-1-2-200111100000000-2-211112200-1-1-1-11100000000
χ2522222-1222-1-1-122-1-1-1-1-2-22-12-1-2-2-2-2222200002-2-1-111-1-1111111-2-200-1-1-1-1000000002-2-1-1112-200-1-1111100000000
χ2622222-1222-1-1-122-1-1-1-1-2-22-12-1-2-2-2-222220000-2211-1-1-1-1111111-2-200-1-1-1-100000000-2211-1-1-220011-1-11100000000
χ2722222-1222-1-1-122-1-1-1-1-2-22-12-1-2-2-2-2-2-2-2-200002-2-1-111-1-111111122001111000000002-2-1-111-220011-1-1-1-100000000
χ2822222-1222-1-1-122-1-1-1-1-2-22-12-1-2-2-2-2-2-2-2-20000-2211-1-1-1-11111112200111100000000-2211-1-12-200-1-111-1-100000000
χ292222-1222-1222-1-1-1-1-1-122-12-12-1-1-1-100002222222222-1-122-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000000-1-100
χ302222-1222-1222-1-1-1-1-1-122-12-12-1-1-1-100002222-2-2-2-2-2-2-1-122-1-1-1-100220000-1-1-1-1-1-1-1-111111100-2-200000000001100
χ312222-1222-1222-1-1-1-1-1-122-12-12-1-1-1-10000-2-2-2-2222222-1-122-1-1-1-100-2-2000011111111-1-1-1-1-1-100-2-200000000001100
χ322222-1222-1222-1-1-1-1-1-122-12-12-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-100-2-200001111111111111100220000000000-1-100
χ332222-1222-1222-1-1-1-1-1-1-2-2-12-121111000022222-222-2-2-1-1-2-2111100-2-20000-1-1-1-11111-11-1-111002-20000000000-1100
χ342222-1222-1222-1-1-1-1-1-1-2-2-12-12111100002222-22-2-222-1-1-2-2111100-2-20000-1-1-1-111111-111-1-100-2200000000001-100
χ352222-1222-1222-1-1-1-1-1-1-2-2-12-1211110000-2-2-2-22-222-2-2-1-1-2-21111002200001111-1-1-1-1-11-1-11100-2200000000001-100
χ362222-1222-1222-1-1-1-1-1-1-2-2-12-1211110000-2-2-2-2-22-2-222-1-1-2-21111002200001111-1-1-1-11-111-1-1002-20000000000-1100
χ3722-2-2222-222-2-2-2-222-2-200-2-22200002i−2i2i−2i00000000002-2000000002-22i−2i2i−2i000022-2-20000000000000000002i−2i0000
χ3822-2-2222-222-2-2-2-222-2-200-2-22200002i−2i2i−2i00000000002-200000000-222i−2i2i−2i0000-2-222000000000000000000−2i2i0000
χ3922-2-2222-222-2-2-2-222-2-200-2-2220000−2i2i−2i2i00000000002-2000000002-2−2i2i−2i2i000022-2-2000000000000000000−2i2i0000
χ4022-2-2222-222-2-2-2-222-2-200-2-2220000−2i2i−2i2i00000000002-200000000-22−2i2i−2i2i0000-2-2220000000000000000002i−2i0000
χ4122-2-222-2222-2-2-2-222-2-22-222-2-222-2-22i−2i−2i2i0000000000-222-222-2-22i−2i002i−2i−2i2i00000000000000000000002i−2i00000000
χ4222-2-222-2222-2-2-2-222-2-22-222-2-222-2-2−2i2i2i−2i0000000000-222-222-2-2−2i2i00−2i2i2i−2i0000000000000000000000−2i2i00000000
χ4322-2-222-2222-2-2-2-222-2-2-2222-2-2-2-2222i−2i−2i2i0000000000-22-22-2-222−2i2i002i−2i−2i2i0000000000000000000000−2i2i00000000
χ4422-2-222-2222-2-2-2-222-2-2-2222-2-2-2-222−2i2i2i−2i0000000000-22-22-2-2222i−2i00−2i2i2i−2i00000000000000000000002i−2i00000000
χ4522-2-22-1-222-111-2-2-1-1112-22-1-2122-2-22i−2i−2i2i0000003−33−31-1-11-1-1112i−2i00−iii−i00000000003−33−30000−i3i3−i3i3−ii00000000
χ4622-2-22-1-222-111-2-2-1-1112-22-1-2122-2-22i−2i−2i2i000000−33−331-1-11-1-1112i−2i00−iii−i0000000000−33−330000i3−i3i3−i3−ii00000000
χ4722-2-22-1-222-111-2-2-1-1112-22-1-2122-2-2−2i2i2i−2i0000003−33−31-1-11-1-111−2i2i00i−i−ii00000000003−33−30000i3−i3i3−i3i−i00000000
χ4822-2-22-1-222-111-2-2-1-1112-22-1-2122-2-2−2i2i2i−2i000000−33−331-1-11-1-111−2i2i00i−i−ii0000000000−33−330000−i3i3−i3i3i−i00000000
χ4922-2-22-1-222-111-2-2-1-111-222-1-21-2-2222i−2i−2i2i0000003−3−331-11-111-1-1−2i2i00−iii−i00000000003−3−330000−i3i3i3−i3i−i00000000
χ5022-2-22-1-222-111-2-2-1-111-222-1-21-2-2222i−2i−2i2i000000−333−31-11-111-1-1−2i2i00−iii−i0000000000−333−30000i3−i3−i3i3i−i00000000
χ5122-2-22-1-222-111-2-2-1-111-222-1-21-2-222−2i2i2i−2i0000003−3−331-11-111-1-12i−2i00i−i−ii00000000003−3−330000i3−i3−i3i3−ii00000000
χ5222-2-22-1-222-111-2-2-1-111-222-1-21-2-222−2i2i2i−2i000000−333−31-11-111-1-12i−2i00i−i−ii0000000000−333−30000−i3i3i3−i3−ii00000000
χ5344444-2-4-44-2-2-244-2-2-2-200-42-42000044-4-40000000000220000000000-2-22200000000000000000000000000000000
χ5444444-2-4-44-2-2-244-2-2-2-200-42-420000-4-444000000000022000000000022-2-200000000000000000000000000000000
χ554444-24-4-4-2444-2-2-2-2-2-2002-42-40000000044-4-40000002200000000000000-2-2220000000000000000000000000000
χ564444-24-4-4-2444-2-2-2-2-2-2002-42-400000000-4-444000000220000000000000022-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-2-21111000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-21111000000000000000022-1-1-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2211-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-2-1-111000000000000000000
χ6144-4-44-24-44-222-4-4-2-22200-424-200004i−4i4i−4i0000000000-220000000000−2i2i−2i2i00000000000000000000000000000000
χ6244-4-44-24-44-222-4-4-2-22200-424-20000−4i4i−4i4i0000000000-2200000000002i−2i2i−2i00000000000000000000000000000000
χ6344-4-4-244-4-24-4-422-2-222002-4-24000000000000000000-22000000004-400000000-2-222000000000000000000000000
χ6444-4-4-244-4-24-4-422-2-222002-4-24000000000000000000-2200000000-440000000022-2-2000000000000000000000000
χ6544-4-4-24-44-24-4-422-2-2224-4-242-4-2-222000000000000002-24-4-2-2220000000000000000000000000000000000000000
χ6644-4-4-24-44-24-4-422-2-222-44-242-422-2-2000000000000002-2-4422-2-20000000000000000000000000000000000000000
χ6744-4-4-2-2-44-2-2222211-1-14-4-2-222-2-222000000000023−2323−23-11-2211-1-1000000000000000000−33−33000000000000000000
χ6844-4-4-2-2-44-2-2222211-1-14-4-2-222-2-2220000000000−2323−2323-11-2211-1-10000000000000000003−33−3000000000000000000
χ6944-4-4-2-2-44-2-2222211-1-1-44-2-22222-2-2000000000023−23−2323-112-2-1-111000000000000000000−333−3000000000000000000
χ7044-4-4-2-2-44-2-2222211-1-1-44-2-22222-2-20000000000−232323−23-112-2-1-1110000000000000000003−3−33000000000000000000
χ714-44-44400-4-44-44-44-44-4000000000000004-40000000000000000000000004-4000000000000000000000000000000
χ724-44-44400-4-44-44-44-44-400000000000000-44000000000000000000000000-44000000000000000000000000000000
χ734-44-4-24002-44-4-22-22-220000006−66−600004-40000000000006−66−600000000-22006−66−6000000000000000000000000
χ744-44-4-24002-44-4-22-22-220000006−66−60000-440000000000006−66−6000000002-200−66−66000000000000000000000000
χ754-44-4-24002-44-4-22-22-22000000−66−6600004-4000000000000−66−6600000000-2200−66−66000000000000000000000000
χ764-44-4-24002-44-4-22-22-22000000−66−660000-44000000000000−66−66000000002-2006−66−6000000000000000000000000
χ774-4-444400-4-4-44-444-4-4400000000000000004-40000000000000000000000004-40000000000000000000000000000
χ784-4-444400-4-4-44-444-4-440000000000000000-44000000000000000000000000-440000000000000000000000000000
χ794-4-44-24002-4-442-2-222-20000006−6−660000004-400000000006−6−660000000000-226−6−66000000000000000000000000
χ804-4-44-24002-4-442-2-222-20000006−6−66000000-4400000000006−6−6600000000002-2−666−6000000000000000000000000
χ814-4-44-24002-4-442-2-222-2000000−666−60000004-40000000000−666−60000000000-22−666−6000000000000000000000000
χ824-4-44-24002-4-442-2-222-2000000−666−6000000-440000000000−666−600000000002-26−6−66000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-8-4-48-8-4-4444422-2-20044-4-40000000000000000002-20000000000000000000000000000000000000000000000
χ858-88-88-400-84-448-8-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442-22-200000026−2626−26000000000000000000−66−660000000000000000000000000000000000000000
χ878-88-8-4-40044-44-442-22-2000000−2626−26260000000000000000006−66−60000000000000000000000000000000000000000
χ888-8-888-400-844-4-88-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-42-2-2200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ908-8-88-4-400444-44-42-2-22000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000

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