Finite Group Databasebeta

← Group #11776241

Character table — Group #11776241

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888888888888888888888881818181818181818363636363636363636363636363636367272
order1222444423346666661212121212121212446666121212121212121212121212121212121212121244444444888888888888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1
χ511111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-1
χ101111-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-1
χ111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-11
χ121111-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-11
χ131111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-11
χ141111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-11
χ151111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111-1-11-1
χ161111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1-1-1111-1
χ1722222222-222-22222222222222200-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2000000000000000000
χ1822222222-222-22222222222222200-2-2-2-2-2-2-2-20000000000000000-2-222-2-222000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-2002222-2-2-2-2000000000000000022-2-2-2-222000000000000000000
χ202222-2-2-2-2222-2222222-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000-2-22222-2-2000000000000000000
χ212-22-22i2i−2i−2i022022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000002i−2i002-22−2−i2i20000−i2i22−2000000
χ222-22-22i2i−2i−2i022022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000002i−2i002-2−22i2−i20000i2−i2−22000000
χ232-22-22i2i−2i−2i022022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i2i00-22−i2i2−2200002−2i2−i2000000
χ242-22-22i2i−2i−2i022022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i2i00-22i2−i22−20000−22−i2i2000000
χ252-22-2−2i−2i2i2i022022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i−2i00-22−i2i22−20000−22i2−i2000000
χ262-22-2−2i−2i2i2i022022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i−2i00-22i2−i2−2200002−2−i2i2000000
χ272-22-2−2i−2i2i2i022022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000−2i2i002-22−2i2−i20000i2−i22−2000000
χ282-22-2−2i−2i2i2i022022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000−2i2i002-2−22−i2i20000−i2i2−22000000
χ292-2-222i−2i2i−2i0220-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000002i−2i002-2000000−i2i22−200002−2−i2i200
χ302-2-222i−2i2i−2i0220-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000002i−2i002-2000000i2−i2−220000−22i2−i200
χ312-2-222i−2i2i−2i0220-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000−2i2i00-220000002−2i2−i20000−i2i2−2200
χ322-2-222i−2i2i−2i0220-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000−2i2i00-22000000−22−i2i20000i2−i22−200
χ332-2-22−2i2i−2i2i0220-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000002i−2i00-220000002−2−i2i20000i2−i2−2200
χ342-2-22−2i2i−2i2i0220-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000002i−2i00-22000000−22i2−i20000−i2i22−200
χ352-2-22−2i2i−2i2i0220-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−2i2i002-2000000−i2i2−220000−22−i2i200
χ362-2-22−2i2i−2i2i0220-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−2i2i002-2000000i2−i22−200002−2i2−i200
χ374444444441-241-21-21-21-21-21-21-24411-2-211-2-21111-2-2-2-21111-2-2-2-200000000000000000000000000
χ384444444441-241-21-21-21-21-21-21-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-1222200000000000000000000000000
χ39444444444-214-21-21-21-21-21-21-2144-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ40444444444-214-21-21-21-21-21-21-21-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000
χ4144444444-41-2-41-21-21-21-21-21-21-200-1-122-1-12233-3-3000033-3-3000000000000000000000000000000
χ4244444444-41-2-41-21-21-21-21-21-21-200-1-122-1-122-3-3330000-3-333000000000000000000000000000000
χ4344444444-4-21-4-21-21-21-21-21-21-210022-1-122-1-1000033-3-3000033-3-300000000000000000000000000
χ4444444444-4-21-4-21-21-21-21-21-21-210022-1-122-1-10000-3-3330000-3-33300000000000000000000000000
χ454444-4-4-4-441-2-41-21-21-2-12-12-12-120011-2-2-1-12233-3-30000-3-333000000000000000000000000000000
χ464444-4-4-4-441-2-41-21-21-2-12-12-12-120011-2-2-1-122-3-333000033-3-3000000000000000000000000000000
χ474444-4-4-4-44-21-4-21-21-212-12-12-12-100-2-21122-1-1000033-3-30000-3-33300000000000000000000000000
χ484444-4-4-4-44-21-4-21-21-212-12-12-12-100-2-21122-1-10000-3-333000033-3-300000000000000000000000000
χ494444-4-4-4-4-41-241-21-21-2-12-12-12-124-4-1-12211-2-21111-2-2-2-2-1-1-1-1222200000000000000000000000000
χ504444-4-4-4-4-41-241-21-21-2-12-12-12-12-44-1-12211-2-2-1-1-1-122221111-2-2-2-200000000000000000000000000
χ514444-4-4-4-4-4-214-21-21-212-12-12-12-14-422-1-1-2-211-2-2-2-211112222-1-1-1-100000000000000000000000000
χ524444-4-4-4-4-4-214-21-21-212-12-12-12-1-4422-1-1-2-2112222-1-1-1-1-2-2-2-2111100000000000000000000000000
χ5344-4-44-4-4401-20-12-121-21-2-12-121-2003-3003-3003−33−30023−233−33−30023−2300000000000000000000000000
χ5444-4-44-4-4401-20-12-121-21-2-12-121-2003-3003-300−33−3300−2323−33−3300−232300000000000000000000000000
χ5544-4-44-4-4401-20-12-121-21-2-12-121-200-3300-33003−3−3323−23003−3−3323−230000000000000000000000000000
χ5644-4-44-4-4401-20-12-121-21-2-12-121-200-3300-3300−333−3−232300−333−3−23230000000000000000000000000000
χ5744-4-44-4-440440-4-4-4-44444-4-4-4-4440000000000000000000000000000000000000000000000000000
χ5844-4-44-4-440-2102-12-1-21-212-12-1-2100003-3003-30023−233−3−330023−233−3−3300000000000000000000000000
χ5944-4-44-4-440-2102-12-1-21-212-12-1-2100003-3003-300−2323−333−300−2323−333−300000000000000000000000000
χ6044-4-44-4-440-2102-12-1-21-212-12-1-210000-3300-3323−2300−33−3323−2300−33−3300000000000000000000000000
χ6144-4-44-4-440-2102-12-1-21-212-12-1-210000-3300-33−2323003−33−3−2323003−33−300000000000000000000000000
χ6244-4-4-444-401-20-12-121-2-121-21-2-12003-300-33003−3−3323−2300−333−3−23230000000000000000000000000000
χ6344-4-4-444-401-20-12-121-2-121-21-2-12003-300-3300−333−3−2323003−3−3323−230000000000000000000000000000
χ6444-4-4-444-401-20-12-121-2-121-21-2-1200-33003-3003−33−30023−23−33−3300−232300000000000000000000000000
χ6544-4-4-444-401-20-12-121-2-121-21-2-1200-33003-300−33−3300−23233−33−30023−2300000000000000000000000000
χ6644-4-4-444-40440-4-4-4-444-4-44444-4-40000000000000000000000000000000000000000000000000000
χ6744-4-4-444-40-2102-12-1-212-1-21-212-100003-300-3323−2300−33−33−2323003−33−300000000000000000000000000
χ6844-4-4-444-40-2102-12-1-212-1-21-212-100003-300-33−2323003−33−323−2300−33−3300000000000000000000000000
χ6944-4-4-444-40-2102-12-1-212-1-21-212-10000-33003-30023−233−3−3300−2323−333−300000000000000000000000000
χ7044-4-4-444-40-2102-12-1-212-1-21-212-10000-33003-300−2323−333−30023−233−3−3300000000000000000000000000
χ718-88-88i8i−8i−8i02-402-4-24-242i−4i2i−4i−2i4i−2i4i0000000000000000000000000000000000000000000000000000
χ728-88-88i8i−8i−8i0-420-424-24-2−4i2i−4i2i4i−2i4i−2i0000000000000000000000000000000000000000000000000000
χ738-88-8−8i−8i8i8i02-402-4-24-24−2i4i−2i4i2i−4i2i−4i0000000000000000000000000000000000000000000000000000
χ748-88-8−8i−8i8i8i0-420-424-24-24i−2i4i−2i−4i2i−4i2i0000000000000000000000000000000000000000000000000000
χ758-8-888i−8i8i−8i02-40-242-4-242i−4i−2i4i2i−4i−2i4i0000000000000000000000000000000000000000000000000000
χ768-8-888i−8i8i−8i0-4204-2-424-2−4i2i4i−2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000
χ778-8-88−8i8i−8i8i02-40-242-4-24−2i4i2i−4i−2i4i2i−4i0000000000000000000000000000000000000000000000000000
χ788-8-88−8i8i−8i8i0-4204-2-424-24i−2i−4i2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000

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