Finite Group Databasebeta

← Group #11868846

Character table — Group #11868846

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444448121212121212121224242424242424242244466121212121212121212444466881212121212242424244441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-1-111-11111-1-111111-1-11-1-1-11-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-11-1-1-11-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-111111111111111111111-1-11-1-1-1-11111111-1-1-1111-111-1-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-111-111-1-1-1-11-1111-11-1-11111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-11
χ11111111111111111-1-1111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-111-1-11-111-11-1-1-111-1-111-111-1-11
χ12111111111111111-1-1111111111-1-111-11-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1
χ13111111111111111-1-11111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-11-1-11-1111-1-111-1-1-1111-11
χ14111111111111111-1-11111111-1-111-1-1-11-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111111-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-11111-111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-2000000000000-222-2-22200000-2-2000000-200000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000000222-2-2-2-20000022000000200000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-2000000000000-2-2-222220000022000000-200000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000002-2-222-2-200000-2-2000000200000000200000
χ2122222-122-122-1-12-122-1-1-1-12-120022002222-1-122-1-122-1-1-1-1-1-1220020000-1-1-1-1-1-1-10002-1-102-1000000-1-1000-100
χ2222222-122-122-1-12-122-1-1-1-12-12002200-2-222-1-1-2-2-1-1-2-2111111220020000-1-11-1-111000-2-1-10-2-100000011000100
χ2322222-122-122-1-12-122-1-1-1-12-1200-2-2002222-1-122-1-122-1-1-1-1-1-1-2-200-2000011-1-1-1-1-1000-2110-2100000011000100
χ2422222-122-122-1-12-122-1-1-1-12-1200-2-200-2-222-1-1-2-2-1-1-2-2111111-2-200-20000111-1-111000211021000000-1-1000-100
χ2522222-122-122-1-12-1-2-2-1-1-1-12-120022002-2-2-21122-1-1-2-2111111-2-20020000-1-1-111-1-10002110-2-100000011000-100
χ2622222-122-122-1-12-1-2-2-1-1-1-12-12002200-22-2-211-2-2-1-122-1-1-1-1-1-1-2-20020000-1-111111000-21102-1000000-1-1000100
χ2722222-122-122-1-12-1-2-2-1-1-1-12-1200-2-2002-2-2-21122-1-1-2-21111112200-2000011-111-1-1000-2-1-1021000000-1-1000100
χ2822222-122-122-1-12-1-2-2-1-1-1-12-1200-2-200-22-2-211-2-2-1-122-1-1-1-1-1-12200-2000011111110002-1-10-2100000011000-100
χ292222-12222-1-122-1-122-1-1-12-12-122002222-1-122-1-1-1-1-1-122-1-1-1-100220-1-1-1-1002-1-1-1-1002000200-1-1-1-1-1-100000000
χ302222-12222-1-122-1-122-1-1-12-12-1220022-2-2-1-12211-1-111-2-2111100220-1-1-1-100-2-1-11100-2000-200-1-1111100000000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-200-2-222-1-122-1-1-1-1-1-122-1-1-1-100-2-201111002-1-1-1-100-2000-20011111100000000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-200-2-2-2-2-1-12211-1-111-2-2111100-2-20111100-2-1-11100200020011-1-1-1-100000000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12200222-211-2-2-1-1-1-111-2-2111100-2-20-1-1-1-100211-1-1002000-20011-1-11100000000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-1220022-2211-2-211-1-1-1-122-1-1-1-100-2-20-1-1-1-100-2111100-20002001111-1-100000000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2-200-2-22-211-2-2-1-1-1-111-2-2111100220111100211-1-100-2000200-1-111-1-100000000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2-200-2-2-2211-2-211-1-1-1-122-1-1-1-100220111100-21111002000-200-1-1-1-11100000000
χ372-22-2222-22-22-2-2-22002-2-222-2-22-2002-2000000002-2000000002-20002-22-2000000000002-20000000000002-2000
χ382-22-2222-22-22-2-2-22002-2-222-2-22-2002-2000000002-200000000-220002-22-200000000000-22000000000000-22000
χ392-22-2222-22-22-2-2-22002-2-222-2-2-2200-22000000002-2000000002-2000-22-22000000000002-2000000000000-22000
χ402-22-2222-22-22-2-2-22002-2-222-2-2-2200-22000000002-200000000-22000-22-2200000000000-220000000000002-2000
χ412-22-222-222-22-2-2-222i−2i2-2-2-2-2222-200-22002i−2i2i−2i00-2200000000002i−2i02-2-220002i−2i000000000002i−2i000000000000
χ422-22-222-222-22-2-2-222i−2i2-2-2-2-222-22002-2002i−2i2i−2i00-220000000000−2i2i0-222-20002i−2i00000000000−2i2i000000000000
χ432-22-222-222-22-2-2-22−2i2i2-2-2-2-2222-200-2200−2i2i−2i2i00-220000000000−2i2i02-2-22000−2i2i00000000000−2i2i000000000000
χ442-22-222-222-22-2-2-22−2i2i2-2-2-2-222-22002-200−2i2i−2i2i00-2200000000002i−2i0-222-2000−2i2i000000000002i−2i000000000000
χ452-22-2-12-2221-1-2-21-12i−2i-111-212-12-200-2200−ii2i−2i3−31-1−i3i300−i3−i3i3i3002i−2i0-111-1000−ii3−3000000000−ii3−3−i3i300000000
χ462-22-2-12-2221-1-2-21-12i−2i-111-212-12-200-2200−ii2i−2i−331-1i3−i300i3i3−i3−i3002i−2i0-111-1000−ii−33000000000−ii−33i3−i300000000
χ472-22-2-12-2221-1-2-21-12i−2i-111-212-1-22002-200−ii2i−2i3−31-1−i3i300−i3−i3i3i300−2i2i01-1-11000−ii3−3000000000i−i−33i3−i300000000
χ482-22-2-12-2221-1-2-21-12i−2i-111-212-1-22002-200−ii2i−2i−331-1i3−i300i3i3−i3−i300−2i2i01-1-11000−ii−33000000000i−i3−3−i3i300000000
χ492-22-2-12-2221-1-2-21-1−2i2i-111-212-12-200-2200i−i−2i2i3−31-1i3−i300i3i3−i3−i300−2i2i0-111-1000i−i3−3000000000i−i3−3i3−i300000000
χ502-22-2-12-2221-1-2-21-1−2i2i-111-212-12-200-2200i−i−2i2i−331-1−i3i300−i3−i3i3i300−2i2i0-111-1000i−i−33000000000i−i−33−i3i300000000
χ512-22-2-12-2221-1-2-21-1−2i2i-111-212-1-22002-200i−i−2i2i3−31-1i3−i300i3i3−i3−i3002i−2i01-1-11000i−i3−3000000000−ii−33−i3i300000000
χ522-22-2-12-2221-1-2-21-1−2i2i-111-212-1-22002-200i−i−2i2i−331-1−i3i300−i3−i3i3i3002i−2i01-1-11000i−i−33000000000−ii3−3i3−i300000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-40044000000000022000000000000-40000-2-20000000000000200000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-400-4-400000000002200000000000040000220000000000000-200000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-424400-4-400000000220000000000000-2-222000000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42-4-400440000000022000000000000022-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-2-2-222112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-42222-2-2112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44400-44-44-4-4400-44-40000004-4000000000000000000000000000004-40000000000000000000000000000
χ6244-4-44400-44-44-4-4400-44-4000000-4400000000000000000000000000000-440000000000000000000000000000
χ6344-4-44-20024-4-22-4-2002-220000004-4000000000000006−66−66−6000000000-22000000000000000000006−6000000
χ6444-4-44-20024-4-22-4-2002-220000004-400000000000000−66−66−66000000000-2200000000000000000000−66000000
χ6544-4-44-20024-4-22-4-2002-22000000-44000000000000006−66−66−60000000002-200000000000000000000−66000000
χ6644-4-44-20024-4-22-4-2002-22000000-4400000000000000−66−66−660000000002-2000000000000000000006−6000000
χ674-44-44-24-4-2-4422-4-200-222-242-400000000000000-22000000004-4000000000000000000-2200000000000000000
χ684-44-44-24-4-2-4422-4-200-222-242-400000000000000-2200000000-440000000000000000002-200000000000000000
χ694-44-44-2-44-2-4422-4-24i−4i-2222-4-24000000004i−4i−2i2i002-200000000000000000000−2i2i0000000000000000000000000
χ704-44-44-2-44-2-4422-4-2−4i4i-2222-4-2400000000−4i4i2i−2i002-2000000000000000000002i−2i0000000000000000000000000
χ714-44-4-244-442-2-4-42-200-2224-2-424-4004-400000000-220000000000000-22-22000000000000000000000000000000
χ724-44-4-244-442-2-4-42-200-2224-2-42-4400-4400000000-2200000000000002-22-2000000000000000000000000000000
χ734-44-4-2-2-44-22-222214i−4i1-1-122-2-200000000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i3000000000000i−i−3300000000000000000000000
χ744-44-4-2-2-44-22-222214i−4i1-1-122-2-200000000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i3000000000000i−i3−300000000000000000000000
χ754-44-4-2-2-44-22-22221−4i4i1-1-122-2-2000000002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i3000000000000−ii−3300000000000000000000000
χ764-44-4-2-2-44-22-22221−4i4i1-1-122-2-2000000002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i3000000000000−ii3−300000000000000000000000
χ774-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-8-448-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-44-444200-22-2000000000000000000000026−26−66−66000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-444200-22-20000000000000000000000−26266−66−6000000000000000000000000000000000000000
χ838-88-8-4-48-8-44-44442002-2-2-4-444000000000000002-200000000000000000000000000000000000000000000000
χ848-8-888-4004-8-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-844-88-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-22000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-220000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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