Finite Group Databasebeta

← Group #11775131

Character table — Group #11775131

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order1222223344666666346666666121212124466121212121212444444441212121212121212222244888812121212121212122424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1
χ91111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1ii−i−iii−i−i11-1-111-1-111-1-111i−ii−iii−i−iii−i−iii−i−iii−i−i-1-11
χ101111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1ii−i−i−i−iii11-1-111-1-1-1-111-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iii11-1
χ111111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1−i−iiiii−i−i11-1-111-1-1-1-111-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1
χ121111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1−i−iii−i−iii11-1-111-1-111-1-111−ii−ii−i−iii−i−iii−i−iii−i−iii-1-11
χ131111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1ii−i−iii−i−i-1-111-1-11111-1-111−ii−iiii−i−iii−i−i−i−iii−i−iii-11-1
χ141111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1ii−i−i−i−iii-1-111-1-111-1-111-1-1−iii−iii−i−i−i−iii−i−iiiii−i−i1-11
χ151111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1−i−iiiii−i−i-1-111-1-111-1-111-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iii1-11
χ161111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1−i−iii−i−iii-1-111-1-11111-1-111i−ii−i−i−iii−i−iiiii−i−iii−i−i-11-1
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-20000000000000000-2-2-2-22200000000000000000000200
χ192222222-1222-12-12-1-122-1-1-1-12-122-1-122-1-12-1-1-1-1-1000022222-12-1-1-1-1-100000000220000-1-1-1-10000-1-1-1-1000
χ202222222-1222-12-12-1-122-1-1-1-12-122-1-122-1-12-1-1-1-1-10000-2-2-2-22-12-1-1-1-1-100000000-2-20000111100001111000
χ212222222-1222-12-12-1-122-1-1-1-12-122-1-1-2-2-1-12-1-1-1-1-100002222-21-21111100000000-2-20000-1-1-1-100001111000
χ222222222-1222-12-12-1-122-1-1-1-12-122-1-1-2-2-1-12-1-1-1-1-10000-2-2-2-2-21-2111110000000022000011110000-1-1-1-1000
χ23222222-1222-12-12-12-12-12-1-1-1-12-1-12222-1-1-12-1-1-1-122220000-12-12-1-1-1-10000002200-1-1-1-10000-1-1-1-10000000
χ24222222-1222-12-12-12-12-12-1-1-1-12-1-12222-1-1-12-1-1-1-1-2-2-2-20000-12-12-1-1-1-1000000-2-2001111000011110000000
χ25222222-1222-12-12-12-12-12-1-1-1-12-1-122-2-2-1-1-12-1-1-1-1222200001-21-21111000000-2-200-1-1-1-1000011110000000
χ26222222-1222-12-12-12-12-12-1-1-1-12-1-122-2-2-1-1-12-1-1-1-1-2-2-2-200001-21-21111000000220011110000-1-1-1-10000000
χ272222-2-222222222222-2-2-2222-2-2222200-2-2-2-2-2-222000000000000000022-2-2-2-200000000000000000000200
χ282222-2-222222222222-2-2-2222-2-2222200-2-2-2-2-2-2220000000000000000-2-2222200000000000000000000-200
χ292222-2-22-1-2-22-12-12-1-12-21-1-1-1-21-2-2112-2112-1-1-11100002i2i−2i−2i2-1-21-1-111000000002i−2i0000−i−iii0000−i−iii000
χ302222-2-22-1-2-22-12-12-1-12-21-1-1-1-21-2-2112-2112-1-1-1110000−2i−2i2i2i2-1-21-1-11100000000−2i2i0000ii−i−i0000ii−i−i000
χ312222-2-22-1-2-22-12-12-1-12-21-1-1-1-21-2-211-22112-1-1-11100002i2i−2i−2i-212-111-1-100000000−2i2i0000−i−iii0000ii−i−i000
χ322222-2-22-1-2-22-12-12-1-12-21-1-1-1-21-2-211-22112-1-1-1110000−2i−2i2i2i-212-111-1-1000000002i−2i0000ii−i−i0000−i−iii000
χ332222-2-2-12-2-2-12-12-12-121-2-1-1-11-211-2-22-211-12-1-1112i2i−2i−2i0000-121-2-1-1110000002i−2i00−i−iii0000−i−iii0000000
χ342222-2-2-12-2-2-12-12-12-121-2-1-1-11-211-2-22-211-12-1-111−2i−2i2i2i0000-121-2-1-111000000−2i2i00ii−i−i0000ii−i−i0000000
χ352222-2-2-12-2-2-12-12-12-121-2-1-1-11-211-2-2-2211-12-1-1112i2i−2i−2i00001-2-1211-1-1000000−2i2i00−i−iii0000ii−i−i0000000
χ362222-2-2-12-2-2-12-12-12-121-2-1-1-11-211-2-2-2211-12-1-111−2i−2i2i2i00001-2-1211-1-10000002i−2i00ii−i−i0000−i−iii0000000
χ3722-2-200222i−2i-2-222-2-22000-22-2002i−2i2i−2i000000002i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000000
χ3822-2-200222i−2i-2-222-2-22000-22-2002i−2i2i−2i000000002i−2i1+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000000-22−2i2i00001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000000
χ3922-2-200222i−2i-2-222-2-22000-22-2002i−2i2i−2i000000002i−2i−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000000-22−2i2i0000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000000
χ4022-2-200222i−2i-2-222-2-22000-22-2002i−2i2i−2i000000002i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000000
χ4122-2-20022−2i2i-2-222-2-22000-22-200−2i2i−2i2i00000000−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000002-2−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000000
χ4222-2-20022−2i2i-2-222-2-22000-22-200−2i2i−2i2i00000000−2i2i1−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000000-222i−2i00001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000000
χ4322-2-20022−2i2i-2-222-2-22000-22-200−2i2i−2i2i00000000−2i2i−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000000-222i−2i0000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000000
χ4422-2-20022−2i2i-2-222-2-22000-22-200−2i2i−2i2i00000000−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000000
χ454444444-2-4-44-24-24-2-2-44-2-2-2-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000000
χ46444444-24-4-4-24-24-24-2-4-24-2-2-2-2422-4-400-2-22-42222000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2111-2-2-2-2-2-24411-2-2111100000000-2-2-2-2111100000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2111-2-2-2-2-2-2-4-411-2-21111000000002222-1-1-1-100000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2111-2-22222001122-1-1-1-10000000000003-33-300000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2111-2-22222001122-1-1-1-1000000000000-33-3300000000000000000000000000000
χ514444-4-44-2444-24-24-2-2-4-42-2-2-2-4244-2-20022-4222-2-2000000000000000000000000000000000000000000000
χ524444-4-4-2444-24-24-24-2-42-4-2-2-22-4-2-24400222-422-2-2000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-42211122-2-2-2-200-1-122-1-1110000000000003-3-3300000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42211122-2-2-2-200-1-122-1-111000000000000-333-300000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-214221112222224-4-1-1-2-211-1-100000000-2-22211-1-100000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-21422111222222-44-1-1-2-211-1-10000000022-2-2-1-11100000000000000000000000000000
χ5744-4-4004-24i−4i-424-2-42-20002-22004i−4i−2i2i00000000−2i2i00002−2i−2+2i2+2i−2−2i0000000000000000000000−1+i1−i−1−i1+i00000000000
χ5844-4-4004-24i−4i-424-2-42-20002-22004i−4i−2i2i00000000−2i2i0000−2+2i2−2i−2−2i2+2i00000000000000000000001−i−1+i1+i−1−i00000000000
χ5944-4-4004-2−4i4i-424-2-42-20002-2200−4i4i2i−2i000000002i−2i00002+2i−2−2i2−2i−2+2i0000000000000000000000−1−i1+i−1+i1−i00000000000
χ6044-4-4004-2−4i4i-424-2-42-20002-2200−4i4i2i−2i000000002i−2i0000−2−2i2+2i−2+2i2−2i00000000000000000000001+i−1−i1−i−1+i00000000000
χ6144-4-400-244i−4i2-4-242-4-20002-2200−2i2i4i−4i00000000−2i2i2+2i−2−2i2−2i−2+2i0000000000000000000000−1−i1+i−1+i1−i000000000000000
χ6244-4-400-244i−4i2-4-242-4-20002-2200−2i2i4i−4i00000000−2i2i−2−2i2+2i−2+2i2−2i00000000000000000000001+i−1−i1−i−1+i000000000000000
χ6344-4-400-24−4i4i2-4-242-4-20002-22002i−2i−4i4i000000002i−2i2−2i−2+2i2+2i−2−2i0000000000000000000000−1+i1−i−1−i1+i000000000000000
χ6444-4-400-24−4i4i2-4-242-4-20002-22002i−2i−4i4i000000002i−2i−2+2i2−2i−2−2i2+2i00000000000000000000001−i−1+i1+i−1−i000000000000000
χ654-44-44-4440044-4-4-4-440444-4-4-4-40000004-4000000000000000000000000000000000000000000000000000
χ664-44-44-44-2004-2-42-42-204-2-222-42000000-2200000000000000000000000000000000000000000000i6−i6i6−i6000
χ674-44-44-44-2004-2-42-42-204-2-222-42000000-2200000000000000000000000000000000000000000000−i6i6−i6i6000
χ684-44-44-4-2400-242-42-4-20-24-2222-4000000-220000000000000000000000000000000000000000i6−i6i6−i60000000
χ694-44-44-4-2400-242-42-4-20-24-2222-4000000-220000000000000000000000000000000000000000−i6i6−i6i60000000
χ704-44-4-44440044-4-4-4-440-4-44-4-444000000-44000000000000000000000000000000000000000000000000000
χ714-44-4-444-2004-2-42-42-20-42-2224-20000002-2000000000000000000000000000000000000000000006−6−66000
χ724-44-4-444-2004-2-42-42-20-42-2224-20000002-200000000000000000000000000000000000000000000−666−6000
χ734-44-4-44-2400-242-42-4-202-4-222-240000002-200000000000000000000000000000000000000006−6−660000000
χ744-44-4-44-2400-242-42-4-202-4-222-240000002-20000000000000000000000000000000000000000−666−60000000
χ754-4-44004400-4-4-4-4444000-4-44000000000000000000000000000000004-4000000000000000000000000000
χ764-4-44004400-4-4-4-4444000-4-4400000000000000000000000000000000-44000000000000000000000000000
χ7788-8-800-4-48i−8i44-4-4442000-22-200−4i4i−4i4i000000002i−2i000000000000000000000000000000000000000000000
χ7888-8-800-4-4−8i8i44-4-4442000-22-2004i−4i4i−4i00000000−2i2i000000000000000000000000000000000000000000000
χ798-88-88-8-4-400-4-4444420-4-42-2-2440000002-2000000000000000000000000000000000000000000000000000
χ808-88-8-88-4-400-4-4444420442-2-2-4-4000000-22000000000000000000000000000000000000000000000000000
χ818-8-88008-400-84-848-4-400044-40000000000000000000000000000000000000000000000000000000000000
χ828-8-8800-48004-84-8-48-400044-40000000000000000000000000000000000000000000000000000000000000
χ838-8-8800-4-4004444-4-42000-2-220000000000006-600000000000000000000000000000000000000000000000
χ848-8-8800-4-4004444-4-42000-2-22000000000000-6600000000000000000000000000000000000000000000000

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