Finite Group Databasebeta

← Group #11868695

Character table — Group #11868695

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444448121212121212121224242424242424242244466121212121212121212444466881212121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-1111111-1-111111-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11-1-1-1-11-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-11111111-1-11-111-111-1-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1-11-1-111-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-11
χ11111111111111111-1-111111111111-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-111-1-1-1111-11-1-1-111-1-11111-1-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-11-1-1-11-1111-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-11111-111-1-11111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-20022-2-2220000022000000-20000000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000200000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-2000000-200000000002000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-2000002200000020000000000-2000
χ2122222-122-122-1-12-122-1-1-1-12-120000222222-1-122-1-122-1-1-1-1-1-1222000000-1-1-1-1-1-1-10020-1-102-1000000-1-1000-100
χ2222222-122-122-1-12-122-1-1-1-12-12000022-2-2-2-2-1-122-1-1-2-2111111222000000-1-11-1-11100-20-1-10-2-100000011000100
χ2322222-122-122-1-12-122-1-1-1-12-120000-2-22222-1-122-1-122-1-1-1-1-1-1-2-2-200000011-1-1-1-1-100-20110-2100000011000100
χ2422222-122-122-1-12-122-1-1-1-12-120000-2-2-2-2-2-2-1-122-1-1-2-2111111-2-2-2000000111-1-111002011021000000-1-1000-100
χ2522222-122-122-1-12-1-2-2-1-1-1-12-120000222-22211-2-2-1-1-2-2111111-2-22000000-1-1-111-1-10020110-2-100000011000-100
χ2622222-122-122-1-12-1-2-2-1-1-1-12-12000022-22-2-211-2-2-1-122-1-1-1-1-1-1-2-22000000-1-11111100-201102-1000000-1-1000100
χ2722222-122-122-1-12-1-2-2-1-1-1-12-120000-2-22-22211-2-2-1-1-2-211111122-200000011-111-1-100-20-1-1021000000-1-1000100
χ2822222-122-122-1-12-1-2-2-1-1-1-12-120000-2-2-22-2-211-2-2-1-122-1-1-1-1-1-122-200000011111110020-1-10-2100000011000-100
χ292222-12222-1-122-1-122-1-1-12-12-122220022-1-122-1-1-1-1-1-122-1-1-1-100022-1-1-1-1002-1-1-1-1000200200-1-1-1-1-1-100000000
χ302222-12222-1-122-1-122-1-1-12-12-1222200-2-21122-1-1-1-111-2-2111100022-1-1-1-100-2-1-111000-200-200-1-1111100000000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-2-2-20022-1-122-1-1-1-1-1-122-1-1-1-1000-2-21111002-1-1-1-1000-200-20011111100000000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-2-2-200-2-21122-1-1-1-111-2-21111000-2-2111100-2-1-11100020020011-1-1-1-100000000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12222002-2-1-1-2-211-1-111-2-21111000-2-2-1-1-1-100211-1-1000200-20011-1-11100000000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-1222200-2211-2-211-1-1-1-122-1-1-1-1000-2-2-1-1-1-100-21111000-2002001111-1-100000000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-2002-2-1-1-2-211-1-111-2-2111100022111100211-1-1000-200200-1-111-1-100000000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-200-2211-2-211-1-1-1-122-1-1-1-100022111100-21111000200-200-1-1-1-11100000000
χ3722-2-2222-22-22-2-2-22002-2-222-2-22-22-200000000002-2000000002-20002-22-2000000000002-2000000000002-20000
χ3822-2-2222-22-22-2-2-22002-2-222-2-22-22-200000000002-200000000-220002-22-200000000000-2200000000000-220000
χ3922-2-2222-22-22-2-2-22002-2-222-2-2-22-2200000000002-2000000002-2000-22-22000000000002-200000000000-220000
χ4022-2-2222-22-22-2-2-22002-2-222-2-2-22-2200000000002-200000000-22000-22-2200000000000-22000000000002-20000
χ4122-2-222-222-22-2-2-222i−2i2-2-2-2-2222-2-220000002i−2i2i−2i-22000000000002i−2i2-2-220002i−2i000000000002i−2i000000000000
χ4222-2-222-222-22-2-2-222i−2i2-2-2-2-222-222-20000002i−2i2i−2i-2200000000000−2i2i-222-20002i−2i00000000000−2i2i000000000000
χ4322-2-222-222-22-2-2-22−2i2i2-2-2-2-2222-2-22000000−2i2i−2i2i-2200000000000−2i2i2-2-22000−2i2i00000000000−2i2i000000000000
χ4422-2-222-222-22-2-2-22−2i2i2-2-2-2-222-222-2000000−2i2i−2i2i-22000000000002i−2i-222-2000−2i2i000000000002i−2i000000000000
χ4522-2-2-12-2221-1-2-21-12i−2i-111-212-12-2-2200003−32i−2i−ii1-1−i3i300−i3−i3i3i30002i−2i-111-1000−ii3−3000000000−ii3−3−i3i300000000
χ4622-2-2-12-2221-1-2-21-12i−2i-111-212-12-2-220000−332i−2i−ii1-1i3−i300i3i3−i3−i30002i−2i-111-1000−ii−33000000000−ii−33i3−i300000000
χ4722-2-2-12-2221-1-2-21-12i−2i-111-212-1-222-200003−32i−2i−ii1-1−i3i300−i3−i3i3i3000−2i2i1-1-11000−ii3−3000000000i−i−33i3−i300000000
χ4822-2-2-12-2221-1-2-21-12i−2i-111-212-1-222-20000−332i−2i−ii1-1i3−i300i3i3−i3−i3000−2i2i1-1-11000−ii−33000000000i−i3−3−i3i300000000
χ4922-2-2-12-2221-1-2-21-1−2i2i-111-212-12-2-2200003−3−2i2ii−i1-1i3−i300i3i3−i3−i3000−2i2i-111-1000i−i3−3000000000i−i3−3i3−i300000000
χ5022-2-2-12-2221-1-2-21-1−2i2i-111-212-12-2-220000−33−2i2ii−i1-1−i3i300−i3−i3i3i3000−2i2i-111-1000i−i−33000000000i−i−33−i3i300000000
χ5122-2-2-12-2221-1-2-21-1−2i2i-111-212-1-222-200003−3−2i2ii−i1-1i3−i300i3i3−i3−i30002i−2i1-1-11000i−i3−3000000000−ii−33−i3i300000000
χ5222-2-2-12-2221-1-2-21-1−2i2i-111-212-1-222-20000−33−2i2ii−i1-1−i3i300−i3−i3i3i30002i−2i1-1-11000i−i−33000000000−ii3−3i3−i300000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-400004400000000220000000000-4000000-2-20000000000000200000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-40000-4-4000000002200000000004000000220000000000000-200000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-422-2-2-2-2112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-4-2-22222112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44-24-4-2-4422-4-200-222-242-400000000000000-22000000004-4000000000000000000-2200000000000000000
χ6244-4-44-24-4-2-4422-4-200-222-242-400000000000000-2200000000-440000000000000000002-200000000000000000
χ6344-4-44-2-44-2-4422-4-24i−4i-2222-4-240000000000−2i2i4i−4i2-200000000000000000000−2i2i0000000000000000000000000
χ6444-4-44-2-44-2-4422-4-2−4i4i-2222-4-2400000000002i−2i−4i4i2-2000000000000000000002i−2i0000000000000000000000000
χ6544-4-4-244-442-2-4-42-200-2224-2-424-44-40000000000-220000000000000-22-22000000000000000000000000000000
χ6644-4-4-244-442-2-4-42-200-2224-2-42-44-440000000000-2200000000000002-22-2000000000000000000000000000000
χ6744-4-4-2-2-44-22-222214i−4i1-1-122-2-20000000023−23−2i2i−2i2i-11−2i32i300i3i3−i3−i3000000000000i−i−3300000000000000000000000
χ6844-4-4-2-2-44-22-222214i−4i1-1-122-2-200000000−2323−2i2i−2i2i-112i3−2i300−i3−i3i3i3000000000000i−i3−300000000000000000000000
χ6944-4-4-2-2-44-22-22221−4i4i1-1-122-2-20000000023−232i−2i2i−2i-112i3−2i300−i3−i3i3i3000000000000−ii−3300000000000000000000000
χ7044-4-4-2-2-44-22-22221−4i4i1-1-122-2-200000000−23232i−2i2i−2i-11−2i32i300i3i3−i3−i3000000000000−ii3−300000000000000000000000
χ714-44-44400-44-4-44-4400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ724-44-44400-44-4-44-4400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ734-4-444400-4-4-44-44400-4-44000000004-40000000000000000000000000004-40000000000000000000000000000
χ744-4-444400-4-4-44-44400-4-4400000000-44000000000000000000000000000-440000000000000000000000000000
χ754-4-444-2002-4-4-224-20022-2000000004-40000000000006−66−66−6000000000-22000000000000000000006−6000000
χ764-4-444-2002-4-4-224-20022-2000000004-4000000000000−66−66−66000000000-2200000000000000000000−66000000
χ774-4-444-2002-4-4-224-20022-200000000-440000000000006−66−66−60000000002-200000000000000000000−66000000
χ784-4-444-2002-4-4-224-20022-200000000-44000000000000−66−66−660000000002-2000000000000000000006−6000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8-44-44442002-2-2-4-444000000000000002-200000000000000000000000000000000000000000000000
χ818-88-88-40048-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-8-44-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ848-88-8-4-4004-444-44200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ858-8-88-4800-8448-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-2-22000000000000000000000026−26−66−66000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-2-220000000000000000000000−26266−66−6000000000000000000000000000000000000000

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