Finite Group Databasebeta

← Group #11796351

Character table — Group #11796351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1124444444448888121224242424242424242424243636727211244444444488881212242424242424242424242436367272
order1222336666666666444441212121212121212244422226666666666664444412121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11111-1-1-1-111-1-11111111111111111111-1-11111-1-1-1-111-1-1
χ31111111111111111-1-1-111-1-1-1-1111111-1-11111111111111111-1-1-111-1-1-1-1111111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1111111-1-11-1-1-111-1i−i11-1-1ii−i−i-11i−i111-1111111-1-11-1-1-111-1i−i11-1-1ii−i−i-11i−i
χ6111-1111111-1-11-1-1-111-1−ii11-1-1−i−iii-11−ii111-1111111-1-11-1-1-111-1−ii11-1-1−i−iii-11−ii
χ7111-1111111-1-11-1-1-1-1-11i−i-1-111ii−i−i-11−ii111-1111111-1-11-1-1-1-1-11i−i-1-111ii−i−i-11−ii
χ8111-1111111-1-11-1-1-1-1-11−ii-1-111−i−iii-11i−i111-1111111-1-11-1-1-1-1-11−ii-1-111−i−iii-11i−i
χ922222222222222220000000000000-2-20022222222222222220000000000000-2-200
χ10222-2222222-2-22-2-2-200000000000002-200222-2222222-2-22-2-2-200000000000002-200
χ1144441-21-211-2-2-211-222200-1-1-1-10000000044441-21-211-2-2-211-222200-1-1-1-100000000
χ1244441-21-211-2-2-211-2-2-2-20011110000000044441-21-211-2-2-211-2-2-2-200111100000000
χ134444-21-21-2-2111-2-21000220000-1-1-1-100004444-21-21-2-2111-2-21000220000-1-1-1-10000
χ144444-21-21-2-2111-2-21000-2-20000111100004444-21-21-2-2111-2-21000-2-2000011110000
χ15444-41-21-21122-2-1-1222-200-1-11100000000444-41-21-21122-2-1-1222-200-1-11100000000
χ16444-41-21-21122-2-1-12-2-220011-1-100000000444-41-21-21122-2-1-12-2-220011-1-100000000
χ17444-4-21-21-2-2-1-1122-10002i−2i0000−i−iii0000444-4-21-21-2-2-1-1122-10002i−2i0000−i−iii0000
χ18444-4-21-21-2-2-1-1122-1000−2i2i0000ii−i−i0000444-4-21-21-2-2-1-1122-1000−2i2i0000ii−i−i0000
χ1944-4044-444-400-40000000000000000000044-4044-444-400-400000000000000000000
χ2044-40-2121-2233-100-30000000003−33−3000044-40-2121-2233-100-30000000003−33−30000
χ2144-40-2121-2233-100-3000000000−33−33000044-40-2121-2233-100-3000000000−33−330000
χ2244-40-2121-22-3-3-1003000000000−i3i3i3−i3000044-40-2121-22-3-3-1003000000000−i3i3i3−i30000
χ2344-40-2121-22-3-3-1003000000000i3−i3−i3i3000044-40-2121-22-3-3-1003000000000i3−i3−i3i30000
χ244-4001-2-32-13−2i32i30−i3i302i−2i000i−i3−3000000004-4001-2-32-13−2i32i30−i3i302i−2i000i−i3−300000000
χ254-4001-2-32-13−2i32i30−i3i30−2i2i000−ii−33000000004-4001-2-32-13−2i32i30−i3i30−2i2i000−ii−3300000000
χ264-4001-2-32-132i3−2i30i3−i302i−2i000i−i−33000000004-4001-2-32-132i3−2i30i3−i302i−2i000i−i−3300000000
χ274-4001-2-32-132i3−2i30i3−i30−2i2i000−ii3−3000000004-4001-2-32-132i3−2i30i3−i30−2i2i000−ii3−300000000
χ284-400440-4-400000002i−2i000−2i2i00000000004-400440-4-400000002i−2i000−2i2i0000000000
χ294-400440-4-40000000−2i2i0002i−2i00000000004-400440-4-40000000−2i2i0002i−2i0000000000
χ3088-802-4-2-42-20040000000000000000000088-802-4-2-42-200400000000000000000000
χ318-8002-464-2-6000000000000000000000008-8002-464-2-600000000000000000000000
χ328-800-420-240−2i32i302i3−2i30000000000000000008-800-420-240−2i32i302i3−2i3000000000000000000
χ338-800-420-2402i3−2i30−2i32i30000000000000000008-800-420-2402i3−2i30−2i32i3000000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ361111111111111111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111
χ371111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ38111-1111111-1-11-1-1-111-1i−i11-1-1ii−i−i-11i−i-1-1-11-1-1-1-1-1-111-1111-1-11−ii-1-111−i−iii1-1−ii
χ39111-1111111-1-11-1-1-111-1−ii11-1-1−i−iii-11−ii-1-1-11-1-1-1-1-1-111-1111-1-11i−i-1-111ii−i−i1-1i−i
χ40111-1111111-1-11-1-1-1-1-11i−i-1-111ii−i−i-11−ii-1-1-11-1-1-1-1-1-111-111111-1−ii11-1-1−i−iii1-1i−i
χ41111-1111111-1-11-1-1-1-1-11−ii-1-111−i−iii-11i−i-1-1-11-1-1-1-1-1-111-111111-1i−i11-1-1ii−i−i1-1−ii
χ4222222222222222220000000000000-2-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000002200
χ43222-2222222-2-22-2-2-200000000000002-200-2-2-22-2-2-2-2-2-222-22220000000000000-2200
χ4444441-21-211-2-2-211-222200-1-1-1-100000000-4-4-4-4-12-12-1-1222-1-12-2-2-200111100000000
χ4544441-21-211-2-2-211-2-2-2-200111100000000-4-4-4-4-12-12-1-1222-1-1222200-1-1-1-100000000
χ464444-21-21-2-2111-2-21000220000-1-1-1-10000-4-4-4-42-12-122-1-1-122-1000-2-2000011110000
χ474444-21-21-2-2111-2-21000-2-2000011110000-4-4-4-42-12-122-1-1-122-1000220000-1-1-1-10000
χ48444-41-21-21122-2-1-1222-200-1-11100000000-4-4-44-12-12-1-1-2-2211-2-2-220011-1-100000000
χ49444-41-21-21122-2-1-12-2-220011-1-100000000-4-4-44-12-12-1-1-2-2211-222-200-1-11100000000
χ50444-4-21-21-2-2-1-1122-10002i−2i0000−i−iii0000-4-4-442-12-12211-1-2-21000−2i2i0000ii−i−i0000
χ51444-4-21-21-2-2-1-1122-1000−2i2i0000ii−i−i0000-4-4-442-12-12211-1-2-210002i−2i0000−i−iii0000
χ5244-4044-444-400-400000000000000000000-4-440-4-44-4-4400400000000000000000000
χ5344-40-2121-2233-100-30000000003−33−30000-4-4402-1-2-12-2-3-31003000000000−33−330000
χ5444-40-2121-2233-100-3000000000−33−330000-4-4402-1-2-12-2-3-310030000000003−33−30000
χ5544-40-2121-22-3-3-1003000000000−i3i3i3−i30000-4-4402-1-2-12-233100-3000000000i3−i3−i3i30000
χ5644-40-2121-22-3-3-1003000000000i3−i3−i3i30000-4-4402-1-2-12-233100-3000000000−i3i3i3−i30000
χ574-4001-2-32-13−2i32i30−i3i302i−2i000i−i3−300000000-4400-123-21-32i3−2i30i3−i30−2i2i000−ii−3300000000
χ584-4001-2-32-13−2i32i30−i3i30−2i2i000−ii−3300000000-4400-123-21-32i3−2i30i3−i302i−2i000i−i3−300000000
χ594-4001-2-32-132i3−2i30i3−i302i−2i000i−i−3300000000-4400-123-21-3−2i32i30−i3i30−2i2i000−ii3−300000000
χ604-4001-2-32-132i3−2i30i3−i30−2i2i000−ii3−300000000-4400-123-21-3−2i32i30−i3i302i−2i000i−i−3300000000
χ614-400440-4-400000002i−2i000−2i2i0000000000-4400-4-40440000000−2i2i0002i−2i0000000000
χ624-400440-4-40000000−2i2i0002i−2i0000000000-4400-4-404400000002i−2i000−2i2i0000000000
χ6388-802-4-2-42-200400000000000000000000-8-880-2424-2200-400000000000000000000
χ648-8002-464-2-600000000000000000000000-8800-24-6-42600000000000000000000000
χ658-800-420-240−2i32i302i3−2i3000000000000000000-88004-202-402i3−2i30−2i32i3000000000000000000
χ668-800-420-2402i3−2i30−2i32i3000000000000000000-88004-202-40−2i32i302i3−2i3000000000000000000

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