Finite Group Databasebeta

← Group #11788219

Character table — Group #11788219

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112244444444444444888888888899991212121212121212181824242424242424242424242436364848484872727272
order1222223344666666666666121212121212121244444444444444244412121212121212122261212128888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111111-1-1-1-1-1-11-1-1111-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11111-1-1-1-1-1-1-111-1-1-111
χ711111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-11111-1-11-1-11-1-111
χ811111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-11111-1-1-111-111-1-1
χ91111-1-1111-111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−i1111-1-1ii−i−iii−i−i1-111-1-1i−ii−i
χ101111-1-1111-111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−i11-1-111ii−i−iii−i−i1-1-1-111−ii−ii
χ111111-1-1111-111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii1111-1-1−i−iii−i−iii1-111-1-1−ii−ii
χ121111-1-1111-111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii11-1-111−i−iii−i−iii1-1-1-111i−ii−i
χ131111-1-111-1111-1-1-11111-1-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii111-11-1ii−i−i−i−iii-111-11-1i−i−ii
χ141111-1-111-1111-1-1-11111-1-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii11-11-11ii−i−i−i−iii-11-11-11−iii−i
χ151111-1-111-1111-1-1-11111-1-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−i111-11-1−i−iiiii−i−i-111-11-1−iii−i
χ161111-1-111-1111-1-1-11111-1-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−i11-11-11−i−iiiii−i−i-11-11-11i−i−ii
χ17222222222222222222222222222222-2-2-2-200000000-2-2000000000000-2-200000000
χ1822222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000000000002200000000
χ192222-2-2222-222-2-2-22222-2-2-222-2-222-2-2222200000000-2-2000000000000-2200000000
χ202222-2-222-2222-2-2-22222-2-2-2-2-222-2-222222200000000-2-20000000000002-200000000
χ212-2-222-22200-2-222-22-2-22-22-20000000022-2-200002i−2i2i−2i2-2000000002i−2i2i−2i0000000000
χ222-2-222-22200-2-222-22-2-22-22-20000000022-2-20000−2i2i−2i2i2-200000000−2i2i−2i2i0000000000
χ232-2-222-22200-2-222-22-2-22-22-200000000-2-2222i−2i2i−2i0000-2200002i−2i2i−2i00000000000000
χ242-2-222-22200-2-222-22-2-22-22-200000000-2-222−2i2i−2i2i0000-220000−2i2i−2i2i00000000000000
χ252-2-22-222200-2-2-2-222-2-222-220000000022-2-22-2-220000-2200002-2-2200000000000000
χ262-2-22-222200-2-2-2-222-2-222-220000000022-2-2-222-20000-220000-222-200000000000000
χ272-2-22-222200-2-2-2-222-2-222-2200000000-2-22200002-2-222-2000000002-2-220000000000
χ282-2-22-222200-2-2-2-222-2-222-2200000000-2-2220000-222-22-200000000-222-20000000000
χ294444441-244111111-2-2-21-2-21111-2-2-2-2000022222222000000-1-1-1-1-1-1-1-10000000000
χ304444441-244111111-2-2-21-2-21111-2-2-2-20000-2-2-2-2-2-2-2-2000000111111110000000000
χ314444441-2-4-4111111-2-2-21-2-2-1-1-1-1222200002222-2-2-2-2000000-1-1-1-111110000000000
χ324444441-2-4-4111111-2-2-21-2-2-1-1-1-122220000-2-2-2-222220000001111-1-1-1-10000000000
χ33444444-2144-2-2-2-2-2-2111-211-2-2-2-211110000000000000022220000000000-1-1-1-10000
χ34444444-2144-2-2-2-2-2-2111-211-2-2-2-2111100000000000000-2-2-2-2000000000011110000
χ35444444-21-4-4-2-2-2-2-2-2111-2112222-1-1-1-1000000000000002-2-220000000000-111-10000
χ36444444-21-4-4-2-2-2-2-2-2111-2112222-1-1-1-100000000000000-222-200000000001-1-110000
χ374444-4-41-24-411-1-1-11-2-2-2-12211-1-1-2-22200002i2i−2i−2i2i2i−2i−2i000000−i−iii−i−iii0000000000
χ384444-4-41-24-411-1-1-11-2-2-2-12211-1-1-2-2220000−2i−2i2i2i−2i−2i2i2i000000ii−i−iii−i−i0000000000
χ394444-4-41-2-4411-1-1-11-2-2-2-122-1-11122-2-200002i2i−2i−2i−2i−2i2i2i000000−i−iiiii−i−i0000000000
χ404444-4-41-2-4411-1-1-11-2-2-2-122-1-11122-2-20000−2i−2i2i2i2i2i−2i−2i000000ii−i−i−i−iii0000000000
χ414444-4-4-214-4-2-2222-21112-1-1-2-22211-1-10000000000000022-2-20000000000-1-1110000
χ424444-4-4-214-4-2-2222-21112-1-1-2-22211-1-100000000000000-2-222000000000011-1-10000
χ434444-4-4-21-44-2-2222-21112-1-122-2-2-1-111000000000000002-22-20000000000-11-110000
χ444444-4-4-21-44-2-2222-21112-1-122-2-2-1-11100000000000000-22-2200000000001-11-10000
χ4544-4-40044004-4000-44-4-4000000000004i−4i4i−4i00000000000000000000000000000000
χ4644-4-40044004-4000-44-4-400000000000−4i4i−4i4i00000000000000000000000000000000
χ474-44-4004400-44000-4-44-4000000000004i−4i−4i4i00000000000000000000000000000000
χ484-44-4004400-44000-4-44-400000000000−4i4i4i−4i00000000000000000000000000000000
χ494-4-444-41-200-1-111-1122-2-1-223-33-3000000002i−2i2i−2i2i−2i2i−2i000000−ii−ii−ii−ii0000000000
χ504-4-444-41-200-1-111-1122-2-1-223-33-300000000−2i2i−2i2i−2i2i−2i2i000000i−ii−ii−ii−i0000000000
χ514-4-444-41-200-1-111-1122-2-1-22-33-33000000002i−2i2i−2i−2i2i−2i2i000000−ii−iii−ii−i0000000000
χ524-4-444-41-200-1-111-1122-2-1-22-33-3300000000−2i2i−2i2i2i−2i2i−2i000000i−ii−i−ii−ii0000000000
χ534-4-44-441-200-1-1-1-11122-212-23-3-33000000002-2-222-2-22000000-111-1-111-10000000000
χ544-4-44-441-200-1-1-1-11122-212-23-3-3300000000-222-2-222-20000001-1-111-1-110000000000
χ554-4-44-441-200-1-1-1-11122-212-2-333-3000000002-2-22-222-2000000-111-11-1-110000000000
χ564-4-44-441-200-1-1-1-11122-212-2-333-300000000-222-22-2-220000001-1-11-111-10000000000
χ5788-8-8002-4002-26-66-2-444-60000000000000000000000000000000000000000000000
χ5888-8-8002-4002-2-66-6-2-44460000000000000000000000000000000000000000000000
χ5988-8-800-4200-4400042-2-20000000006i−6i000000000000000000000000000000000000
χ6088-8-800-4200-4400042-2-2000000000−6i6i000000000000000000000000000000000000
χ618-88-8002-400-226-6-6-24-4460000000000000000000000000000000000000000000000
χ628-88-8002-400-22-666-24-44-60000000000000000000000000000000000000000000000
χ638-88-800-42004-40004-22-200000006i−6i00000000000000000000000000000000000000
χ648-88-800-42004-40004-22-20000000−6i6i00000000000000000000000000000000000000
χ658-8-888-8-420044-4-44-4-2-2242-200000000000000000000000000000000000000000000
χ668-8-88-88-42004444-4-4-2-22-4-2200000000000000000000000000000000000000000000

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