Finite Group Databasebeta

← Group #11790849

Character table — Group #11790849

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order122222334466666666666612121212121212124444444422224444224412121212121212126612124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11-11-111-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1-11-11-1-111
χ711111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-1-111111-11-1-1-111
χ811111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-11-1111-1-1
χ91111-1-1111-111-1-1111-1-11-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-1i−ii−i
χ101111-1-1111-111-1-1111-1-11-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1-1-111ii−i−iii−i−i-1-111−ii−ii
χ111111-1-1111-111-1-1111-1-11-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii11-1-1−ii−ii
χ121111-1-1111-111-1-1111-1-11-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1-1-111−i−iii−i−iii-1-111i−ii−i
χ131111-1-111-1111-1-1111-1-11-1-1-1-1-1-11111ii−i−i−i−iii11-1-1-1-1111-1-11ii−i−i−i−iii1-1-11i−i−ii
χ141111-1-111-1111-1-1111-1-11-1-1-1-1-1-11111ii−i−i−i−iii11-1-1-1-111-111-1ii−i−i−i−iii-111-1−iii−i
χ151111-1-111-1111-1-1111-1-11-1-1-1-1-1-11111−i−iiiii−i−i11-1-1-1-1111-1-11−i−iiiii−i−i1-1-11−iii−i
χ161111-1-111-1111-1-1111-1-11-1-1-1-1-1-11111−i−iiiii−i−i11-1-1-1-111-111-1−i−iiiii−i−i-111-1i−i−ii
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ1822222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000000000000000
χ192222-2-2222-222-2-2222-2-22-2-22222-2-2-2-200000000-2-222-2-22200000000000000000000
χ202222-2-222-2222-2-2222-2-22-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000
χ212-22-22-222002-22-2-2-2-22-222-20000000000002i−2i2i−2i2-22-20000000000002i−2i2i−2i00000000
χ222-22-22-222002-22-2-2-2-22-222-2000000000000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i00000000
χ232-22-22-222002-22-2-2-2-22-222-2000000002-22-20000-22-22000000002-22-2000000000000
χ242-22-22-222002-22-2-2-2-22-222-200000000-22-220000-22-2200000000-22-22000000000000
χ252-22-2-2222002-2-22-2-2-2-222-220000000000002-2-222-2-220000000000002-2-2200000000
χ262-22-2-2222002-2-22-2-2-2-222-22000000000000-222-22-2-22000000000000-222-200000000
χ272-22-2-2222002-2-22-2-2-2-222-22000000002i−2i−2i2i0000-222-2000000002i−2i−2i2i000000000000
χ282-22-2-2222002-2-22-2-2-2-222-2200000000−2i2i2i−2i0000-222-200000000−2i2i2i−2i000000000000
χ294444441-2441111-21-211-2-2-211-2-211-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ304444441-2441111-21-211-2-2-211-2-211-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ314444441-2-4-41111-21-211-2-2-2-1-122-1-1222222-2-2-2-2000000000000-1-1-1-1111100000000
χ324444441-2-4-41111-21-211-2-2-2-1-122-1-122-2-2-2-222220000000000001111-1-1-1-100000000
χ33444444-2144-2-2-2-21-21-2-2111-2-211-2-2110000000000000000222200000000-1-1-1-10000
χ34444444-2144-2-2-2-21-21-2-2111-2-211-2-2110000000000000000-2-2-2-20000000011110000
χ35444444-21-4-4-2-2-2-21-21-2-211122-1-122-1-100000000000000002-22-200000000-11-110000
χ36444444-21-4-4-2-2-2-21-21-2-211122-1-122-1-10000000000000000-22-22000000001-11-10000
χ374444-4-41-24-411-1-1-21-2-1-1-22211-2-2-1-1222i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii00000000
χ384444-4-41-24-411-1-1-21-2-1-1-22211-2-2-1-122−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i00000000
χ394444-4-41-2-4411-1-1-21-2-1-1-222-1-12211-2-22i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000000
χ404444-4-41-2-4411-1-1-21-2-1-1-222-1-12211-2-2−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000000
χ414444-4-4-214-4-2-2221-21221-1-1-2-21122-1-1000000000000000022-2-200000000-1-1110000
χ424444-4-4-214-4-2-2221-21221-1-1-2-21122-1-10000000000000000-2-2220000000011-1-10000
χ434444-4-4-21-44-2-2221-21221-1-122-1-1-2-21100000000000000002-2-2200000000-111-10000
χ444444-4-4-21-44-2-2221-21221-1-122-1-1-2-2110000000000000000-222-2000000001-1-110000
χ4544-4-4004400-44004-4-400-40000000000000000000000004i−4i00000000000000000000
χ4644-4-4004400-44004-4-400-4000000000000000000000000−4i4i00000000000000000000
χ474-44-44-41-2001-11-12-121-1-2-223i−3i003i−3i002-22-22i−2i2i−2i000000000000-11-11−ii−ii00000000
χ484-44-44-41-2001-11-12-121-1-2-223i−3i003i−3i00-22-22−2i2i−2i2i0000000000001-11-1i−ii−i00000000
χ494-44-44-41-2001-11-12-121-1-2-22−3i3i00−3i3i002-22-2−2i2i−2i2i000000000000-11-11i−ii−i00000000
χ504-44-44-41-2001-11-12-121-1-2-22−3i3i00−3i3i00-22-222i−2i2i−2i0000000000001-11-1−ii−ii00000000
χ514-44-4-441-2001-1-112-12-11-22-23i−3i00−3i3i002i−2i−2i2i-222-2000000000000−iii−i1-1-1100000000
χ524-44-4-441-2001-1-112-12-11-22-23i−3i00−3i3i00−2i2i2i−2i2-2-22000000000000i−i−ii-111-100000000
χ534-44-4-441-2001-1-112-12-11-22-2−3i3i003i−3i002i−2i−2i2i2-2-22000000000000−iii−i-111-100000000
χ544-44-4-441-2001-1-112-12-11-22-2−3i3i003i−3i00−2i2i2i−2i-222-2000000000000i−i−ii1-1-1100000000
χ554-4-44004400-4-400-44400-400000000000000000000004-40000000000000000000000
χ564-4-44004400-4-400-44400-40000000000000000000000-440000000000000000000000
χ5788-8-8002-400-2266-4-24-6-640000000000000000000000000000000000000000000000
χ5888-8-8002-400-22-6-6-4-246640000000000000000000000000000000000000000000000
χ5988-8-800-42004-40024-200-2000000006i−6i000000000000000000000000000000000000
χ6088-8-800-42004-40024-200-200000000−6i6i000000000000000000000000000000000000
χ618-88-88-8-4200-44-44-24-2-4422-200000000000000000000000000000000000000000000
χ628-88-8-88-4200-444-4-24-24-42-2200000000000000000000000000000000000000000000
χ638-8-88002-400-2-26-642-4-6640000000000000000000000000000000000000000000000
χ648-8-88002-400-2-2-6642-46-640000000000000000000000000000000000000000000000
χ658-8-8800-42004400-2-4200-200006-60000000000000000000000000000000000000000
χ668-8-8800-42004400-2-4200-20000-660000000000000000000000000000000000000000

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