Finite Group Databasebeta

← Group #11895994

Character table — Group #11895994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order1222334466666636668812121212246612121212242424242424242444444444121212126661212124424881212121212122424242448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-11111111111-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1111111-1-111-111-1-11-1-1-1-111-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1-1111-1-1-1-1-11-11-11111-1-111-1-1-1111-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1111-111-1-1-111111-1-1-111-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1111-1-1-11-1-1111-1-1-1-11-1-11-11-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11-1111-11111111-1-1-1-1-1-11-11-1-1-1-111-1-111-111-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-111111-11-1-11111-1-1-1-1-1-11-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-1-1-11-11111-1-1-1111-1-11-1-11-111-1-1-1-1-111-1111-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1111-1-1-111-11-1-111111-1-1-111-111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-111-1-1-1-11111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002200-2-222-2-2000000220000-2002000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-200-2222-2-2000000-2-20000200-20000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22002-2-2-222000000-2-20000-20020000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-20022-2-222000000220000200-2000000-2000000
χ2122222-122-12-12-12-1-1-1-122-12-12222222-1-122-1-1-1-1-1-1000200020000-1-1-1-1-1-1002202-100-10000-1-1000-1-100
χ2222222-122-12-12-12-1-1-1-122-12-12222222-1-122-1-1-1-1-1-1000-2000-20000-1-1-1-1-1-100-2-20-210010000110001100
χ2322222-122-12-12-12-1-1-1-122-12-12-2-2-2-2-2-2-1-122-1-1-1-1-1-100020002000011111100-2-202-100-10000-1-10001100
χ2422222-122-12-12-12-1-1-1-122-12-12-2-2-2-2-2-2-1-122-1-1-1-1-1-1000-2000-2000011111100220-21001000011000-1-100
χ2522222-122-12-12-12-1-1-1-1-2-2-12-122-222-2-2-1-1-2-2111111000200020000-1-1-1111002-20-2-100-1000011000-1100
χ2622222-122-12-12-12-1-1-1-1-2-2-12-122-222-2-2-1-1-2-2111111000-2000-20000-1-1-111100-220210010000-1-10001-100
χ2722222-122-12-12-12-1-1-1-1-2-2-12-12-22-2-222-1-1-2-2111111000200020000111-1-1-100-220-2-100-10000110001-100
χ2822222-122-12-12-12-1-1-1-1-2-2-12-12-22-2-222-1-1-2-2111111000-2000-20000111-1-1-1002-20210010000-1-1000-1100
χ292222-12222-12-12-1-1-1-1-1222-12-122-1-1-1-1-1-1-1-122-1-1-1-122202220-1-1-1-12-1-12-1-10000200-1-10-1-1-1-1000000000
χ302222-12222-12-12-1-1-1-1-1222-12-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-20-2-2-2011112-1-12-1-10000-2001101111000000000
χ312222-12222-12-12-1-1-1-1-1222-12-1-2-21111-1-1-1-122-1-1-1-122-2022-201111-211-2110000-200-1-10-1-111000000000
χ322222-12222-12-12-1-1-1-1-1222-12-1-2-21111-1-1-1-122-1-1-1-1-2-220-2-220-1-1-1-1-211-211000020011011-1-1000000000
χ332222-12222-12-12-1-1-1-1-1-2-22-12-12-2-1-111-1-111-2-2111122-20-2-2-2011112-1-1-2110000200-1-1011-1-1000000000
χ342222-12222-12-12-1-1-1-1-1-2-22-12-12-2-1-111-1-111-2-21111-2-2202220-1-1-1-12-1-1-2110000-200110-1-111000000000
χ352222-12222-12-12-1-1-1-1-1-2-22-12-1-2211-1-1-1-111-2-211112220-2-220-1-1-1-1-2112-1-10000-200-1-101111000000000
χ362222-12222-12-12-1-1-1-1-1-2-22-12-1-2211-1-1-1-111-2-21111-2-2-2022-201111-2112-1-10000200110-1-1-1-1000000000
χ3722-2-222-222-2-22-2-22-22-22i−2i-2-2220000002-22i−2i2i−2i2i2i−2i−2i2-2002i−2i00000000000000000002-202i−2i00000000000
χ3822-2-222-222-2-22-2-22-22-22i−2i-2-2220000002-22i−2i2i−2i2i2i−2i−2i-2200−2i2i0000000000000000000-220−2i2i00000000000
χ3922-2-222-222-2-22-2-22-22-2−2i2i-2-2220000002-2−2i2i−2i2i−2i−2i2i2i2-200−2i2i00000000000000000002-20−2i2i00000000000
χ4022-2-222-222-2-22-2-22-22-2−2i2i-2-2220000002-2−2i2i−2i2i−2i−2i2i2i-22002i−2i0000000000000000000-2202i−2i00000000000
χ4122-2-2-12-2221-2-1-21-11-112i−2i-212-100−i3i33−3-11−ii2i−2i−i−iii2-2002i−2i003−33−30−i3i303−30000000-110−ii−i3i3000000000
χ4222-2-2-12-2221-2-1-21-11-112i−2i-212-100−i3i33−3-11−ii2i−2i−i−iii-2200−2i2i00−33−330−i3i303−300000001-10i−ii3−i3000000000
χ4322-2-2-12-2221-2-1-21-11-112i−2i-212-100i3−i3−33-11−ii2i−2i−i−iii2-2002i−2i00−33−330i3−i30−330000000-110−iii3−i3000000000
χ4422-2-2-12-2221-2-1-21-11-112i−2i-212-100i3−i3−33-11−ii2i−2i−i−iii-2200−2i2i003−33−30i3−i30−3300000001-10i−i−i3i3000000000
χ4522-2-2-12-2221-2-1-21-11-11−2i2i-212-100−i3i3−33-11i−i−2i2iii−i−i2-200−2i2i00−33−330−i3i30−330000000-110i−i−i3i3000000000
χ4622-2-2-12-2221-2-1-21-11-11−2i2i-212-100−i3i3−33-11i−i−2i2iii−i−i-22002i−2i003−33−30−i3i30−3300000001-10−iii3−i3000000000
χ4722-2-2-12-2221-2-1-21-11-11−2i2i-212-100i3−i33−3-11i−i−2i2iii−i−i2-200−2i2i003−33−30i3−i303−30000000-110i−ii3−i3000000000
χ4822-2-2-12-2221-2-1-21-11-11−2i2i-212-100i3−i33−3-11i−i−2i2iii−i−i-22002i−2i00−33−330i3−i303−300000001-10−ii−i3i3000000000
χ4944444-2-4-4-24-24-24-2-2-2-2002-42-400000022000000000004000-40000000000000000200-20000000000000
χ5044444-2-4-4-24-24-24-2-2-2-2002-42-40000002200000000000-400040000000000000000-20020000000000000
χ514444-24-4-44-24-24-2-2-2-2-200-42-420000002200000000004000-40-2-22200000000000000000000000000000
χ524444-24-4-44-24-24-2-2-2-2-200-42-42000000220000000000-40004022-2-200000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-1-1-21100000000000000000000000
χ5744-4-4444-44-4-44-4-44-44-40044-4-4000000-440000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-2-4242-4-22-2200-242-40000002-2000000000000000000000000000000000000000023−230000000
χ5944-4-44-24-4-2-4242-4-22-2200-242-40000002-20000000000000000000000000000000000000000−23230000000
χ6044-4-44-2-44-2-4242-4-22-224i−4i2-4-24000000-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ6144-4-44-2-44-2-4242-4-22-22−4i4i2-4-24000000-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ6244-4-4-244-442-4-2-42-22-22004-2-420000002-2000000000000000023−23−232300000000000000000000000000000
χ6344-4-4-244-442-4-2-42-22-22004-2-420000002-20000000000000000−232323−2300000000000000000000000000000
χ6444-4-4-2-2-44-222-2221-11-14i−4i22-2-200−2i32i323−231-1−2i2i−2i2iii−i−i0000000000000i3−i30−3300000000000000000000000
χ6544-4-4-2-2-44-222-2221-11-14i−4i22-2-2002i3−2i3−23231-1−2i2i−2i2iii−i−i0000000000000−i3i303−300000000000000000000000
χ6644-4-4-2-2-44-222-2221-11-1−4i4i22-2-200−2i32i3−23231-12i−2i2i−2i−i−iii0000000000000i3−i303−300000000000000000000000
χ6744-4-4-2-2-44-222-2221-11-1−4i4i22-2-2002i3−2i323−231-12i−2i2i−2i−i−iii0000000000000−i3i30−3300000000000000000000000
χ684-44-44400-44-4-44-444-4-4000000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-44-44400-44-4-44-444-4-40000000000000000000000000000000000000000000000000000000002i2−2i20000
χ704-4-444400-4-44-4-444-4-4400000000000000000000000000000000000000004-4000000000000000000000
χ714-4-444400-4-44-4-444-4-440000000000000000000000000000000000000000-44000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-8-4-48-8-444-4442-22-200-4-444000000-220000000000000000000000000000000000000000000000000
χ748-88-88-400484-8-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ758-88-8-4800-8-4-8484-4-444000000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004-444-4422-2-2000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ778-88-8-4-4004-444-4422-2-20000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ788-8-888-4004-8-4-848-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-8484-8-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-42-2-2200000000000000000032−32−323200000000000000000000000000000000000000000
χ818-8-88-4-40044-444-42-2-22000000000000000000−323232−3200000000000000000000000000000000000000000

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