Finite Group Databasebeta

← Group #11775120

Character table — Group #11775120

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order1222223344666666344444666666666661212121212121212121212121212121212121212121212121212222244244488882424242424242424444446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ6111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1111111-1-1
χ8111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-1-111
χ91111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-11i−ii−iii−i−iii−i−i-1ii−i−i1-1-11
χ101111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-111-1−ii−ii−i−iii−i−iii-1ii−i−i-111-1
χ111111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-11-11-1i−i−iiii−i−i−i−iii1−i−iii1-11-1
χ121111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-11-11−iii−i−i−iiiii−i−i1−i−iii-11-11
χ131111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-11−ii−ii−i−iii−i−iii-1−i−iii1-1-11
χ141111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-111-1i−ii−iii−i−iii−i−i-1−i−iii-111-1
χ151111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-11-11-1−iii−i−i−iiiii−i−i1ii−i−i1-11-1
χ161111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-11-11i−i−iiii−i−i−i−iii1ii−i−i-11-11
χ1722222222-2-22222222-2000022222222222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-20000000000000000-200000000
χ1822222222-2-22222222-2000022222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2220000000000000000200000000
χ192222222-1222-1-12-12-1222222-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022002200-1-1-1-1000000000-1-100
χ202222222-1222-1-12-12-1222222-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-20011110000000001100
χ212222222-1222-1-12-12-12-2-2-2-22-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-1-2-2111111-2-21111110000002200-2-2001111000000000-1-100
χ222222222-1222-1-12-12-12-2-2-2-22-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-1-2-2111111-2-2111111000000-2-2002200-1-1-1-10000000001100
χ23222222-1222-122-12-1-122222-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002200220000-1-1-1-10000000-1-1
χ24222222-1222-122-12-1-122222-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-200-2-200001111000000011
χ25222222-1222-122-12-1-12-2-2-2-2-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-111-2-2111111-2-21111000000002200-2-2000011110000000-1-1
χ26222222-1222-122-12-1-12-2-2-2-2-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-111-2-2111111-2-2111100000000-2-200220000-1-1-1-1000000011
χ272222-2-222222222222-20000-2-222-2-2-2-22-2-22222-2-2-2-222000000000000000022-2-2-2-20000000000000000200000000
χ282222-2-222222222222-20000-2-222-2-2-2-22-2-22222-2-2-2-2220000000000000000-2-222220000000000000000-200000000
χ292222-2-22-1-2-22-1-12-12-122i2i−2i−2i-21-1-111-21-11111-2-2-12-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000002-2002i−2i00−i−iii000000000-1100
χ302222-2-22-1-2-22-1-12-12-122i2i−2i−2i-21-1-111-21-11111-2-2-12-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii000000-2200−2i2i00ii−i−i0000000001-100
χ312222-2-22-1-2-22-1-12-12-12−2i−2i2i2i-21-1-111-21-11111-2-2-12-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000002-200−2i2i00ii−i−i000000000-1100
χ322222-2-22-1-2-22-1-12-12-12−2i−2i2i2i-21-1-111-21-11111-2-2-12-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000-22002i−2i00−i−iii0000000001-100
χ332222-2-2-12-2-2-122-12-1-122i2i−2i−2i1-2-1-1111-2-111-2-2112-1-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000000002-200−2i2i0000ii−i−i0000000-11
χ342222-2-2-12-2-2-122-12-1-122i2i−2i−2i1-2-1-1111-2-111-2-2112-1-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000-22002i−2i0000−i−iii00000001-1
χ352222-2-2-12-2-2-122-12-1-12−2i−2i2i2i1-2-1-1111-2-111-2-2112-1-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002-2002i−2i0000−i−iii0000000-11
χ362222-2-2-12-2-2-122-12-1-12−2i−2i2i2i1-2-1-1111-2-111-2-2112-1-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000-2200−2i2i0000ii−i−i00000001-1
χ3722-2-200222i−2i-22-22-2-2201+i−1−i1−i−1+i002-20000-2002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i002-22i−2i000000000000000001−i−1+i1+i−1−i0000
χ3822-2-200222i−2i-22-22-2-2201+i−1−i1−i−1+i002-20000-2002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i00-22−2i2i00000000000000000−1+i1−i−1−i1+i0000
χ3922-2-200222i−2i-22-22-2-220−1−i1+i−1+i1−i002-20000-2002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i002-22i−2i00000000000000000−1+i1−i−1−i1+i0000
χ4022-2-200222i−2i-22-22-2-220−1−i1+i−1+i1−i002-20000-2002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i00-22−2i2i000000000000000001−i−1+i1+i−1−i0000
χ4122-2-20022−2i2i-22-22-2-2201−i−1+i1+i−1−i002-20000-200−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i002-2−2i2i000000000000000001+i−1−i1−i−1+i0000
χ4222-2-20022−2i2i-22-22-2-2201−i−1+i1+i−1−i002-20000-200−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i00-222i−2i00000000000000000−1−i1+i−1+i1−i0000
χ4322-2-20022−2i2i-22-22-2-220−1+i1−i−1−i1+i002-20000-200−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i002-2−2i2i00000000000000000−1−i1+i−1+i1−i0000
χ4422-2-20022−2i2i-22-22-2-220−1+i1−i−1−i1+i002-20000-200−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i00-222i−2i000000000000000001+i−1−i1−i−1+i0000
χ454444444-2-4-44-2-24-24-2-400004-2-2-2-2-24-2-2-2-222-4-42-4222200000000000000000000000000000000000000000000000
χ46444444-24-4-4-244-24-2-2-40000-24-2-2-2-2-24-2-2-2-4-422-42222200000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-2144444-2-21111-2-2111-2-2-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-4-4-4-4-2-21111-2-2111-2-2-2-2-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-40000-2-21111-2-2111222222-1-1-1-100003-33-300003-33-30000000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-40000-2-21111-2-2111222222-1-1-1-10000-33-330000-33-330000000000000000000000000000000
χ514444-4-44-2444-2-24-24-2-40000-42-2-222-42-222-2-2442-422-2-200000000000000000000000000000000000000000000000
χ524444-4-4-2444-244-24-2-2-400002-4-2-2222-4-22244-2-2-4222-2-200000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-400002211-1-1221-1-1-2-2-2-222-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-400002211-1-1221-1-1-2-2-2-222-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-2144i4i−4i−4i2211-1-1221-1-12222-2-211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-214−4i−4i4i4i2211-1-1221-1-12222-2-211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000
χ5744-4-4004-24i−4i-4-2242-4-202+2i−2−2i2−2i−2+2i00-220000200−2i2i4i−4i0000−2i2i2+2i−2−2i−1−i1+i−1−i−1−i1+i1+i2−2i−2+2i−1+i1−i−1+i−1+i1−i1−i0000000000000000000000000000000
χ5844-4-4004-24i−4i-4-2242-4-20−2−2i2+2i−2+2i2−2i00-220000200−2i2i4i−4i0000−2i2i−2−2i2+2i1+i−1−i1+i1+i−1−i−1−i−2+2i2−2i1−i−1+i1−i1−i−1+i−1+i0000000000000000000000000000000
χ5944-4-4004-2−4i4i-4-2242-4-202−2i−2+2i2+2i−2−2i00-2200002002i−2i−4i4i00002i−2i2−2i−2+2i−1+i1−i−1+i−1+i1−i1−i2+2i−2−2i−1−i1+i−1−i−1−i1+i1+i0000000000000000000000000000000
χ6044-4-4004-2−4i4i-4-2242-4-20−2+2i2−2i−2−2i2+2i00-2200002002i−2i−4i4i00002i−2i−2+2i2−2i1−i−1+i1−i1−i−1+i−1+i−2−2i2+2i1+i−1−i1+i1+i−1−i−1−i0000000000000000000000000000000
χ6144-4-400-244i−4i24-4-2-42-202+2i−2−2i2−2i−2+2i00-2200002004i−4i−2i2i0000−2i2i−1−i1+i2+2i−2−2i−1−i−1−i1+i1+i−1+i1−i2−2i−2+2i−1+i−1+i1−i1−i0000000000000000000000000000000
χ6244-4-400-244i−4i24-4-2-42-20−2−2i2+2i−2+2i2−2i00-2200002004i−4i−2i2i0000−2i2i1+i−1−i−2−2i2+2i1+i1+i−1−i−1−i1−i−1+i−2+2i2−2i1−i1−i−1+i−1+i0000000000000000000000000000000
χ6344-4-400-24−4i4i24-4-2-42-202−2i−2+2i2+2i−2−2i00-220000200−4i4i2i−2i00002i−2i−1+i1−i2−2i−2+2i−1+i−1+i1−i1−i−1−i1+i2+2i−2−2i−1−i−1−i1+i1+i0000000000000000000000000000000
χ6444-4-400-24−4i4i24-4-2-42-20−2+2i2−2i−2−2i2+2i00-220000200−4i4i2i−2i00002i−2i1−i−1+i−2+2i2−2i1−i1−i−1+i−1+i1+i−1−i−2−2i2+2i1+i1+i−1−i−1−i0000000000000000000000000000000
χ6544-4-400-2-24i−4i2-22-222102+2i−2−2i2−2i−2+2i001-13-300-13-3−2i2i−2i2i003i−3ii−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i0000000000000000000000000000000
χ6644-4-400-2-24i−4i2-22-222102+2i−2−2i2−2i−2+2i001-1-3300-1-33−2i2i−2i2i00−3i3ii−i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i0000000000000000000000000000000
χ6744-4-400-2-24i−4i2-22-22210−2−2i2+2i−2+2i2−2i001-13-300-13-3−2i2i−2i2i003i−3ii−i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i0000000000000000000000000000000
χ6844-4-400-2-24i−4i2-22-22210−2−2i2+2i−2+2i2−2i001-1-3300-1-33−2i2i−2i2i00−3i3ii−i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i0000000000000000000000000000000
χ6944-4-400-2-2−4i4i2-22-222102−2i−2+2i2+2i−2−2i001-13-300-13-32i−2i2i−2i00−3i3i−ii−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i0000000000000000000000000000000
χ7044-4-400-2-2−4i4i2-22-222102−2i−2+2i2+2i−2−2i001-1-3300-1-332i−2i2i−2i003i−3i−ii−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i0000000000000000000000000000000
χ7144-4-400-2-2−4i4i2-22-22210−2+2i2−2i−2−2i2+2i001-13-300-13-32i−2i2i−2i00−3i3i−ii1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i0000000000000000000000000000000
χ7244-4-400-2-2−4i4i2-22-22210−2+2i2−2i−2−2i2+2i001-1-3300-1-332i−2i2i−2i003i−3i−ii1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i0000000000000000000000000000000
χ734-44-44-444004-4-4-44-440000044-4444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ744-44-44-44-200422-4-2-4-2000004-22-2-2-2-4222200000000000000000000000000000000000000006−66−60000000000000
χ754-44-44-44-200422-4-2-4-2000004-22-2-2-2-422220000000000000000000000000000000000000000−66−660000000000000
χ764-44-44-4-2400-2-4-4242-200000-242-2-2-22-422200000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ774-44-44-4-2400-2-4-4242-200000-242-2-2-22-422200000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ784-44-4-4444004-4-4-44-4400000-4-4-44-4-444-444000000000000000000000000000000000000000000000000000000000
χ794-44-4-444-200422-4-2-4-200000-422-2224-22-2-20000000000000000000000000000000000000000i6−i6−i6i60000000000000
χ804-44-4-444-200422-4-2-4-200000-422-2224-22-2-20000000000000000000000000000000000000000−i6i6i6−i60000000000000
χ814-44-4-44-2400-2-4-4242-2000002-42-222-242-2-2000000000000000000000000000000000000000000006−6−66000000000
χ824-44-4-44-2400-2-4-4242-2000002-42-222-242-2-200000000000000000000000000000000000000000000−666−6000000000
χ834-4-44004400-4-44-4-4440000000-4-40000400000000000000000000000000004-400000000000000000000000000000
χ844-4-44004400-4-44-4-4440000000-4-4000040000000000000000000000000000-4400000000000000000000000000000
χ858-88-88-8-4-400-4444-44200000-4-4-222244-2-2-2000000000000000000000000000000000000000000000000000000000
χ868-88-8-88-4-400-4444-4420000044-22-2-2-4-4-222000000000000000000000000000000000000000000000000000000000
χ878-8-88008-400-84-4-848-40000000440000-400000000000000000000000000000000000000000000000000000000000
χ888-8-8800-48004-884-8-4-40000000440000-400000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-40044-444-420000000-2-26-6002-66000000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-40044-444-420000000-2-2-660026-6000000000000000000000000000000000000000000000000000000000

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