Finite Group Databasebeta

← Group #11876956

Character table — Group #11876956

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order1222334466666636668812121212242424244444444444121212121212242424242424888812121212121212122424242412121212121244441212121224242488121222
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
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
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
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-111-1-1-111-111-1-1-1-1-1-111-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1111-1-11-1-111-1-1-1-1111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-11-1-11-1-11111-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-111-1-111-1-111-111-1
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
χ2122222-1222-1-122-1-1-1-1-1222-12-122222222000022-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000022-1-1-1-10022-1-1-1-1-1-100000000
χ2222222-1222-1-122-1-1-1-1-1222-12-1222222220000-2-21111-1-1-1-1-1-1-1-12200-1-1-1-100000000-2-2111100-2-21111-1-100000000
χ2322222-1222-1-122-1-1-1-1-1222-12-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-2-20011110000000022-1-1-1-100-2-211111100000000
χ2422222-1222-1-122-1-1-1-1-1222-12-12222-2-2-2-20000-2-21111-1-1-1-1-1-1-1-1-2-200111100000000-2-211110022-1-1-1-11100000000
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2222200002-2-1-111-1-1111111-2-200-1-1-1-1000000002-2-1-111002-2-1-1111100000000
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-222220000-2211-1-1-1-1111111-2-200-1-1-1-100000000-2211-1-100-2211-1-11100000000
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2-2-200002-2-1-111-1-111111122001111000000002-2-1-11100-2211-1-1-1-100000000
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2-2-20000-2211-1-1-1-11111112200111100000000-2211-1-1002-2-1-111-1-100000000
χ292222-1222-122-1-12-1-1-1-122-12-12-1-1-1-100002222222222-1-122-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000-1-100
χ302222-1222-122-1-12-1-1-1-122-12-12-1-1-1-100002222-2-2-2-2-2-2-1-122-1-1-1-100220000-1-1-1-1-1-1-1-1111111-2-20000000000001100
χ312222-1222-122-1-12-1-1-1-122-12-12-1-1-1-10000-2-2-2-2222222-1-122-1-1-1-100-2-2000011111111-1-1-1-1-1-1-2-20000000000001100
χ322222-1222-122-1-12-1-1-1-122-12-12-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-100-2-200001111111111111122000000000000-1-100
χ332222-1222-122-1-12-1-1-1-1-2-2-12-121111000022222-222-2-2-1-1-2-2111100-2-20000-1-1-1-11111-11-1-1112-2000000000000-1100
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12111100002222-22-2-222-1-1-2-2111100-2-20000-1-1-1-111111-111-1-1-220000000000001-100
χ352222-1222-122-1-12-1-1-1-1-2-2-12-1211110000-2-2-2-22-222-2-2-1-1-2-21111002200001111-1-1-1-1-11-1-111-220000000000001-100
χ362222-1222-122-1-12-1-1-1-1-2-2-12-1211110000-2-2-2-2-22-2-222-1-1-2-21111002200001111-1-1-1-11-111-1-12-2000000000000-1100
χ372-2-22222-22-2-2-2-2222-2-200-2-22200002i−2i2i−2i00000000002-2000000002-22i−2i2i−2i000022-2-20000000000000000002i−2i0000
χ382-2-22222-22-2-2-2-2222-2-200-2-22200002i−2i2i−2i00000000002-200000000-222i−2i2i−2i0000-2-222000000000000000000−2i2i0000
χ392-2-22222-22-2-2-2-2222-2-200-2-2220000−2i2i−2i2i00000000002-2000000002-2−2i2i−2i2i000022-2-2000000000000000000−2i2i0000
χ402-2-22222-22-2-2-2-2222-2-200-2-2220000−2i2i−2i2i00000000002-200000000-22−2i2i−2i2i0000-2-2220000000000000000002i−2i0000
χ412-2-2222-222-2-2-2-2222-2-22-222-2-222-2-22i−2i−2i2i0000000000-222-222-2-22i−2i002i−2i−2i2i00000000000000000000002i−2i00000000
χ422-2-2222-222-2-2-2-2222-2-22-222-2-222-2-2−2i2i2i−2i0000000000-222-222-2-2−2i2i00−2i2i2i−2i0000000000000000000000−2i2i00000000
χ432-2-2222-222-2-2-2-2222-2-2-2222-2-2-2-2222i−2i−2i2i0000000000-22-22-2-222−2i2i002i−2i−2i2i0000000000000000000000−2i2i00000000
χ442-2-2222-222-2-2-2-2222-2-2-2222-2-2-2-222−2i2i2i−2i0000000000-22-22-2-2222i−2i00−2i2i2i−2i00000000000000000000002i−2i00000000
χ452-2-222-1-22211-2-2-1-1-1112-22-1-2122-2-22i−2i−2i2i0000003−33−31-1-11-1-1112i−2i00−iii−i00000000003−33−30000−i3i3−i3i3−ii00000000
χ462-2-222-1-22211-2-2-1-1-1112-22-1-2122-2-22i−2i−2i2i000000−33−331-1-11-1-1112i−2i00−iii−i0000000000−33−330000i3−i3i3−i3−ii00000000
χ472-2-222-1-22211-2-2-1-1-1112-22-1-2122-2-2−2i2i2i−2i0000003−33−31-1-11-1-111−2i2i00i−i−ii00000000003−33−30000i3−i3i3−i3i−i00000000
χ482-2-222-1-22211-2-2-1-1-1112-22-1-2122-2-2−2i2i2i−2i000000−33−331-1-11-1-111−2i2i00i−i−ii0000000000−33−330000−i3i3−i3i3i−i00000000
χ492-2-222-1-22211-2-2-1-1-111-222-1-21-2-2222i−2i−2i2i0000003−3−331-11-111-1-1−2i2i00−iii−i00000000003−3−330000−i3i3i3−i3i−i00000000
χ502-2-222-1-22211-2-2-1-1-111-222-1-21-2-2222i−2i−2i2i000000−333−31-11-111-1-1−2i2i00−iii−i0000000000−333−30000i3−i3−i3i3i−i00000000
χ512-2-222-1-22211-2-2-1-1-111-222-1-21-2-222−2i2i2i−2i0000003−3−331-11-111-1-12i−2i00i−i−ii00000000003−3−330000i3−i3−i3i3−ii00000000
χ522-2-222-1-22211-2-2-1-1-111-222-1-21-2-222−2i2i2i−2i000000−333−31-11-111-1-12i−2i00i−i−ii0000000000−333−30000−i3i3i3−i3−ii00000000
χ5344444-2-4-44-2-244-2-2-2-2-200-42-42000044-4-40000000000220000000000-2-22200000000000000000000000000000000
χ5444444-2-4-44-2-244-2-2-2-2-200-42-420000-4-444000000000022000000000022-2-200000000000000000000000000000000
χ554444-24-4-4-244-2-24-2-2-2-2002-42-40000000044-4-40000002200000000000000-2-2220000000000000000000000000000
χ564444-24-4-4-244-2-24-2-2-2-2002-42-400000000-4-444000000220000000000000022-2-20000000000000000000000000000
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
χ6144-4-44400-44-44-4-44-44-400000000000000004i−4i0000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-44400-44-44-4-44-44-40000000000000000−4i4i000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-4-240024-4-22-4-22-220000006−66−60000004i−4i00000000006−66−60000000000−2i2ii6−i6i6−i6000000000000000000000000
χ6444-4-4-240024-4-22-4-22-220000006−66−6000000−4i4i00000000006−66−600000000002i−2i−i6i6−i6i6000000000000000000000000
χ6544-4-4-240024-4-22-4-22-22000000−66−660000004i−4i0000000000−66−660000000000−2i2i−i6i6−i6i6000000000000000000000000
χ6644-4-4-240024-4-22-4-22-22000000−66−66000000−4i4i0000000000−66−6600000000002i−2ii6−i6i6−i6000000000000000000000000
χ674-44-44400-4-44-44-44-4-44000000000000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ684-44-44400-4-44-44-44-4-4400000000000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ694-44-4-24002-442-2-4-222-20000006−6−6600004i−4i0000000000006−6−6600000000−2i2i00i6−i6−i6i6000000000000000000000000
χ704-44-4-24002-442-2-4-222-20000006−6−660000−4i4i0000000000006−6−66000000002i−2i00−i6i6i6−i6000000000000000000000000
χ714-44-4-24002-442-2-4-222-2000000−666−600004i−4i000000000000−666−600000000−2i2i00−i6i6i6−i6000000000000000000000000
χ724-44-4-24002-442-2-4-222-2000000−666−60000−4i4i000000000000−666−6000000002i−2i00i6−i6−i6i6000000000000000000000000
χ734-4-444-24-4422-4-4-2-2-22200-424-200004i−4i4i−4i0000000000-220000000000−2i2i−2i2i00000000000000000000000000000000
χ744-4-444-24-4422-4-4-2-2-22200-424-20000−4i4i−4i4i0000000000-2200000000002i−2i2i−2i00000000000000000000000000000000
χ754-4-44-244-4-2-4-4224-2-222002-4-24000000000000000000-22000000004-400000000-2-222000000000000000000000000
χ764-4-44-244-4-2-4-4224-2-222002-4-24000000000000000000-2200000000-440000000022-2-2000000000000000000000000
χ774-4-44-24-44-2-4-4224-2-2224-4-242-4-2-222000000000000002-24-4-2-2220000000000000000000000000000000000000000
χ784-4-44-24-44-2-4-4224-2-222-44-242-422-2-2000000000000002-2-4422-2-20000000000000000000000000000000000000000
χ794-4-44-2-2-44-22222-211-1-14-4-2-222-2-222000000000023−2323−23-11-2211-1-1000000000000000000−33−33000000000000000000
χ804-4-44-2-2-44-22222-211-1-14-4-2-222-2-2220000000000−2323−2323-11-2211-1-10000000000000000003−33−3000000000000000000
χ814-4-44-2-2-44-22222-211-1-1-44-2-22222-2-2000000000023−23−2323-112-2-1-111000000000000000000−333−3000000000000000000
χ824-4-44-2-2-44-22222-211-1-1-44-2-22222-2-20000000000−232323−23-112-2-1-1110000000000000000003−3−33000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-88-400-8-448-84-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-44-4442-22-200000026−2626−26000000000000000000−66−660000000000000000000000000000000000000000
χ8688-8-8-4-4004-44-4442-22-2000000−2626−26260000000000000000006−66−60000000000000000000000000000000000000000
χ878-88-88-400-84-4-884-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-44-442-2-2200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ898-88-8-4-40044-44-442-2-22000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000
χ908-8-88-4-48-8-44444-422-2-20044-4-40000000000000000002-20000000000000000000000000000000000000000000000

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