Finite Group Databasebeta

← Group #11796503

Character table — Group #11796503

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222334444444446668888888888888812121212121212121616161616161616242424242424242424242424243636484848727272
order122336644344466612124121268812121212121212242424242224466121212242424242424466888812122424242444122424288
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1-11-1-1
χ41111111111111111111111-1-11111111-1-1-1-1111-1-111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-111
χ511111111111-1-1111-1-11111i−i1-11-1-1-1-1ii−i−i1-1-111-1-111-1iii−i−i−i-11-1i−ii−i11ii−i−i11-1i−i-1i−i
χ611111111111-1-1111-1-11111i−i1-11-1-1-1-1ii−i−i1-1-1-1-1-1-111-1iii−i−i−i11-1i−i−ii-1-1ii−i−i-1-11−ii1−ii
χ711111111111-1-1111-1-11111−ii1-11-1-1-1-1−i−iii1-1-111-1-111-1−i−i−iiii-11-1−ii−ii11−i−iii11-1−ii-1−ii
χ811111111111-1-1111-1-11111−ii1-11-1-1-1-1−i−iii1-1-1-1-1-1-111-1−i−i−iiii11-1−iii−i-1-1−i−iii-1-11i−i1i−i
χ91111111-1-1111111111-1-1-111111111111111-1-1-111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1
χ101111111-1-1111111111-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ111111111-1-1111111111-1-1-11-1-11111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-111-1-1111111-1-11-1-1-111
χ121111111-1-1111111111-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1111111-1111-1-1
χ131111111-1-111-1-1111-1-1-1-1-11i−i1-11-1-1-1-1ii−i−i-1111111-11-1iii−i−i−i-1-11−iii−i11−i−iii-1-1-1i−i1−ii
χ141111111-1-111-1-1111-1-1-1-1-11i−i1-11-1-1-1-1ii−i−i-111-1-111-11-1iii−i−i−i1-11−ii−ii-1-1−i−iii111−ii-1i−i
χ151111111-1-111-1-1111-1-1-1-1-11−ii1-11-1-1-1-1−i−iii-1111111-11-1−i−i−iiii-1-11i−i−ii11ii−i−i-1-1-1−ii1i−i
χ161111111-1-111-1-1111-1-1-1-1-11−ii1-11-1-1-1-1−i−iii-111-1-111-11-1−i−i−iiii1-11i−ii−i-1-1ii−i−i111i−i-1−ii
χ172222222222-22-222222222200-2-2-2222-20000-22-200222-2-20000000-2-2000000000000000000
χ182222222222-2-22222-2-2222200-22-2-2-2-220000-2-2200-2-22-220000000-22000000000000000000
χ192222222-2-22-22-222222-2-2-2200-2-2-2222-200002-2200-2-2-2-2-2000000022000000000000000000
χ202222222-2-22-2-22222-2-2-2-2-2200-22-2-2-2-22000022-20022-2-2200000002-2000000000000000000
χ212222-1-1222-1222-12-1-1-12-1-1-122-1-122-1-12-1-1-1-122200-1-1-1-1-12-1-12-1-10-1-1220000-1-1-1-100000000
χ222222-1-1222-1222-12-1-1-12-1-1-1-2-2-1-122-1-12111122200-1-1-1-1-1-211-2110-1-1-2-20000111100000000
χ232222-1-1222-12-2-2-12-1112-1-1-12i−2i-112-211-2−i−iii2-2-20011-1-112i−i−i−2iii0-112i−2i0000−i−iii00000000
χ242222-1-1222-12-2-2-12-1112-1-1-1−2i2i-112-211-2ii−i−i2-2-20011-1-11−2iii2i−i−i0-11−2i2i0000ii−i−i00000000
χ252222-1-1222-1-22-2-12-1-1-12-1-1-10011-22-1-1-2−i3i3−i3i3-22-200-1-1-1110−i3i30−i3i3011000000−i3i3−i3i300000000
χ262222-1-1222-1-22-2-12-1-1-12-1-1-10011-22-1-1-2i3−i3i3−i3-22-200-1-1-1110i3−i30i3−i3011000000i3−i3i3−i300000000
χ272222-1-1222-1-2-22-12-1112-1-1-1001-1-2-21123−3−33-2-220011-11-103−30−3301-10000003−3−3300000000
χ282222-1-1222-1-2-22-12-1112-1-1-1001-1-2-2112−333−3-2-220011-11-10−3303−301-1000000−333−300000000
χ292222-1-12-2-2-1222-12-1-1-1-211-122-1-122-1-12-1-1-1-1-2-2-200111-1-12-1-12-1-1011-2-20000111100000000
χ302222-1-12-2-2-1222-12-1-1-1-211-1-2-2-1-122-1-121111-2-2-200111-1-1-211-211011220000-1-1-1-100000000
χ312222-1-12-2-2-12-2-2-12-111-211-12i−2i-112-211-2−i−iii-22200-1-11-112i−i−i−2iii01-1−2i2i0000ii−i−i00000000
χ322222-1-12-2-2-12-2-2-12-111-211-1−2i2i-112-211-2ii−i−i-22200-1-11-11−2iii2i−i−i01-12i−2i0000−i−iii00000000
χ332222-1-12-2-2-1-22-2-12-1-1-1-211-10011-22-1-1-2−i3i3−i3i32-2200111110−i3i30−i3i30-1-1000000i3−i3i3−i300000000
χ342222-1-12-2-2-1-22-2-12-1-1-1-211-10011-22-1-1-2i3−i3i3−i32-2200111110i3−i30i3−i30-1-1000000−i3i3−i3i300000000
χ352222-1-12-2-2-1-2-22-12-111-211-1001-1-2-21123−3−3322-200-1-111-103−30−330-11000000−333−300000000
χ362222-1-12-2-2-1-2-22-12-111-211-1001-1-2-2112−333−322-200-1-111-10−3303−30-110000003−3−3300000000
χ37222-122-100-12222-1-122000-12222-1-1-1-1-1222200022000-1-1-1-1-1-1-1-12000022-1-1000000-1-1-1000
χ38222-122-100-12222-1-122000-12222-1-1-1-1-12222000-2-2000-1-1-1-1-1-1-1-1-20000-2-211000000111000
χ39222-122-100-12222-1-122000-1-2-222-1-1-1-1-1-2-2-2-200022000-1-111111120000-2-2-1-1000000-111000
χ40222-122-100-12222-1-122000-1-2-222-1-1-1-1-1-2-2-2-2000-2-2000-1-1111111-2000022110000001-1-1000
χ41222-122-100-12-2-22-1-1-2-2000-12i−2i2-2-111112i2i−2i−2i00022000-11−i−i−iiii-200002i−2i-1-10000001−ii000
χ42222-122-100-12-2-22-1-1-2-2000-12i−2i2-2-111112i2i−2i−2i000-2-2000-11−i−i−iiii20000−2i2i11000000-1i−i000
χ43222-122-100-12-2-22-1-1-2-2000-1−2i2i2-2-11111−2i−2i2i2i00022000-11iii−i−i−i-20000−2i2i-1-10000001i−i000
χ44222-122-100-12-2-22-1-1-2-2000-1−2i2i2-2-11111−2i−2i2i2i000-2-2000-11iii−i−i−i200002i−2i11000000-1−ii000
χ45444-244-200-2-44-44-2-244000-200-4-42-2-2-2200000000000022000000000000000000000000000
χ46444-244-200-2-4-444-2-2-4-4000-200-442222-20000000000002-2000000000000000000000000000
χ47444-2-2-2-2001444-2-21-2-2000144-2-2-2-211-2-2-2-2-20000000011-211-211000000000000000000000
χ48444-2-2-2-2001444-2-21-2-20001-4-4-2-2-2-211-2222200000000112-1-12-1-1000000000000000000000
χ49444-2-2-2-20014-4-4-2-212200014i−4i-22-22-1-12−2i−2i2i2i000000001-1−2iii2i−i−i000000000000000000000
χ50444-2-2-2-20014-4-4-2-21220001−4i4i-22-22-1-122i2i−2i−2i000000001-12i−i−i−2iii000000000000000000000
χ51444-2-2-2-2001-44-4-2-21-2-2000100222-2112−2i32i3−2i32i300000000-1-10i3−i30i3−i3000000000000000000000
χ52444-2-2-2-2001-44-4-2-21-2-2000100222-21122i3−2i32i3−2i300000000-1-10−i3i30−i3i3000000000000000000000
χ53444-2-2-2-2001-4-44-2-21220001002-222-1-1-223−23−232300000000-110−3303−3000000000000000000000
χ54444-2-2-2-2001-4-44-2-21220001002-222-1-1-2−232323−2300000000-1103−30−33000000000000000000000
χ5544-44444444000-4-4400-444-400000000000000000000-400000000000000000000000000000
χ5644-44444-4-44000-4-44004-4-4-400000000000000000000400000000000000000000000000000
χ5744-44-2-2444-20002-4-2−2i32i3-4-2-22000000−2i32i30000000000−2i32i3200000000000000000000000000000
χ5844-44-2-2444-20002-4-22i3−2i3-4-2-220000002i3−2i300000000002i3−2i3200000000000000000000000000000
χ5944-44-2-24-4-4-20002-4-2−2i32i34222000000−2i32i300000000002i3−2i3-200000000000000000000000000000
χ6044-44-2-24-4-4-20002-4-22i3−2i342220000002i3−2i30000000000−2i32i3-200000000000000000000000000000
χ614-4044-4-44i−4i400000-40004i−4i000000000000000002-20000000000000000002-200002i−2i000000
χ624-4044-4-44i−4i400000-40004i−4i00000000000000000-22000000000000000000-220000−2i2i000000
χ634-4044-4-4−4i4i400000-4000−4i4i000000000000000002-20000000000000000002-20000−2i2i000000
χ644-4044-4-4−4i4i400000-4000−4i4i00000000000000000-22000000000000000000-2200002i−2i000000
χ6588-8-488-400-4000-84-400000400000000000000000000000000000000000000000000000000
χ6688-8-4-4-4-4002000442−4i34i3000-20000002i3−2i3000000000000000000000000000000000000000000
χ6788-8-4-4-4-40020004424i3−4i3000-2000000−2i32i3000000000000000000000000000000000000000000
χ688-808-44-88i−8i-4000004000−4i4i000000000000000000000000000000000000000000000000000
χ698-808-44-8−8i8i-40000040004i−4i000000000000000000000000000000000000000000000000000
χ708-80-48-8400-400000400000000000000000000004-4000000000000000000-22000000000000
χ718-80-48-8400-40000040000000000000000000000-440000000000000000002-2000000000000
χ7216-160-8-88800400000-400000000000000000000000000000000000000000000000000000000

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