Finite Group Databasebeta

← Group #11897588

Character table — Group #11897588

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242422224444121212121212121212124444666688121224242424488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-11111111111-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-1111111-1-111-1-1-1-1-1111-1-111-1-1-111-1-1
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
χ5111111111111111111111111-1-1-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1111111111-111-1-1111-111-1-1-1-111-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-11-11-111111-111-1-1-1-1-1111-1-1-11-1-1-1-111-111-11-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-11-111-1-1-1-11-1-1-1111-11111-1-1-1111-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-111-11-1-11111-1-111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-11-11-1-1-1-1-11-1-111-1-1-1111-1-11-11111-1-1-111-111-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-111-1-111-1-111111-1-11-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-11111-11-1-111-1-111-1-1-1-11-1-1-11-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1111-11-11111-11-1-111-1-11-1-1-111-11-1-1-1-111-1111-11-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000000022-2-222-2-200000022000000002-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000002-2-2222-2-2000000-2-200000000-2200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-2000000000000-222-2-2-222000000-2-2000000002-200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-2000000000000-2-222-2-2220000002200000000-220000-2000000
χ2122222-1222-12-1-12-1-1-1-1222-12-122-1-1-1-1-1-122-1-1-1-1-1-122222020-1-1-1-122-1-1-1-10000-1-1-1-12000-1-1000000000
χ2222222-1222-12-1-12-1-1-1-1222-12-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-20-20111122-1-1-1-100001111-200011000000000
χ2322222-1222-12-1-12-1-1-1-1222-12-1-2-21111-1-122-1-1-1-1-1-12222-20-201111-2-211110000-1-1-1-1-200011000000000
χ2422222-1222-12-1-12-1-1-1-1222-12-1-2-21111-1-122-1-1-1-1-1-1-2-2-2-22020-1-1-1-1-2-21111000011112000-1-1000000000
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-12-2-1-111-1-1-2-211111122-2-22020-1-1-1-12-2-1-1110000-1-111-200011000000000
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-12-2-1-111-1-1-2-2111111-2-222-20-2011112-2-1-111000011-1-12000-1-1000000000
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1-2211-1-1-1-1-2-211111122-2-2-20-201111-2211-1-10000-1-1112000-1-1000000000
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1-2211-1-1-1-1-2-2111111-2-2222020-1-1-1-1-2211-1-1000011-1-1-200011000000000
χ292222-1222-12-122-1-1-1-1-122-12-12222222-1-1-1-122-1-1-1-1000002020000-1-1-1-1-1-10022000002-1-100-1-1000-1-100
χ302222-1222-12-122-1-1-1-1-122-12-12222222-1-1-1-122-1-1-1-100000-20-20000-1-1-1-1-1-100-2-200000-21100110001100
χ312222-1222-12-122-1-1-1-1-122-12-12-2-2-2-2-2-2-1-1-1-122-1-1-1-100000202000011111100-2-2000002-1-100-1-10001100
χ322222-1222-12-122-1-1-1-1-122-12-12-2-2-2-2-2-2-1-1-1-122-1-1-1-100000-20-20000111111002200000-2110011000-1-100
χ332222-1222-12-122-1-1-1-1-1-2-2-12-122-222-2-2-1-111-2-21111000002020000-11-1-111002-200000-2-1-10011000-1100
χ342222-1222-12-122-1-1-1-1-1-2-2-12-122-222-2-2-1-111-2-2111100000-20-20000-11-1-11100-220000021100-1-10001-100
χ352222-1222-12-122-1-1-1-1-1-2-2-12-12-22-2-222-1-111-2-211110000020200001-111-1-100-2200000-2-1-100110001-100
χ362222-1222-12-122-1-1-1-1-1-2-2-12-12-22-2-222-1-111-2-2111100000-20-200001-111-1-1002-20000021100-1-1000-1100
χ3722-2-2222-222-2-2-2-222-2-22-222-2-2000000-222-22-222-2-22-22-20000000000000000002-22-2000000000000000
χ3822-2-2222-222-2-2-2-222-2-22-222-2-2000000-222-22-222-2-2-22-22000000000000000000-22-22000000000000000
χ3922-2-2222-222-2-2-2-222-2-2-2222-2-2000000-22-22-22-2-2222-2-220000000000000000002-2-22000000000000000
χ4022-2-2222-222-2-2-2-222-2-2-2222-2-2000000-22-22-22-2-222-222-2000000000000000000-222-2000000000000000
χ4122-2-22-12-22-1-211-2-1-1112-22-1-21003−33−31-12-2-11-1-1112-22-200003−33−3003−33−30000-11-1100003−3000000000
χ4222-2-22-12-22-1-211-2-1-1112-22-1-21003−33−31-12-2-11-1-111-22-220000−33−33003−33−300001-11-10000−33000000000
χ4322-2-22-12-22-1-211-2-1-1112-22-1-2100−33−331-12-2-11-1-1112-22-20000−33−3300−33−330000-11-110000−33000000000
χ4422-2-22-12-22-1-211-2-1-1112-22-1-2100−33−331-12-2-11-1-111-22-2200003−33−300−33−3300001-11-100003−3000000000
χ4522-2-22-12-22-1-211-2-1-111-222-1-21003−3−331-1-221-111-1-12-2-2200003−33−3003−3−330000-111-10000−33000000000
χ4622-2-22-12-22-1-211-2-1-111-222-1-21003−3−331-1-221-111-1-1-222-20000−33−33003−3−3300001-1-1100003−3000000000
χ4722-2-22-12-22-1-211-2-1-111-222-1-2100−333−31-1-221-111-1-12-2-220000−33−3300−333−30000-111-100003−3000000000
χ4822-2-22-12-22-1-211-2-1-111-222-1-2100−333−31-1-221-111-1-1-222-200003−33−300−333−300001-1-110000−33000000000
χ4944444-2-4-44-24-2-24-2-2-2-200-42-420000002200000000000040-40-2-22200000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-2-2-200-42-4200000022000000000000-404022-2-200000000000000000000000000000
χ514444-24-4-4-24-244-2-2-2-2-2002-42-400000022000000000000040-400000000000000000000-2200000000000
χ524444-24-4-4-24-244-2-2-2-2-2002-42-4000000220000000000000-404000000000000000000002-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-444-4444-4-4-4-444-4-400-4-4440000004-40000000000000000000000000000000000000000000000000
χ5844-4-44-2-444-2-422-4-2-22200-424-2000000-22000000000000000023−23−232300000000000000000000000000000
χ5944-4-44-2-444-2-422-4-2-22200-424-2000000-220000000000000000−232323−2300000000000000000000000000000
χ6044-4-4-244-4-242-4-42-2-2224-4-242-40000002-2-224-4-2-22200000000000000000000000000000000000000000
χ6144-4-4-244-4-242-4-42-2-222-44-242-40000002-22-2-4422-2-200000000000000000000000000000000000000000
χ6244-4-4-24-44-242-4-42-2-222002-4-24000000-220000000000000000000000000000000000000000−2i32i30000000
χ6344-4-4-24-44-242-4-42-2-222002-4-24000000-2200000000000000000000000000000000000000002i3−2i30000000
χ6444-4-4-2-24-4-2-2222211-1-14-4-2-2220023−2323−23-11-22-2211-1-100000000000000−33−3300000000000000000000000
χ6544-4-4-2-24-4-2-2222211-1-14-4-2-22200−2323−2323-11-22-2211-1-1000000000000003−33−300000000000000000000000
χ6644-4-4-2-24-4-2-2222211-1-1-44-2-2220023−23−2323-112-22-2-1-11100000000000000−333−300000000000000000000000
χ6744-4-4-2-24-4-2-2222211-1-1-44-2-22200−232323−23-112-22-2-1-111000000000000003−3−3300000000000000000000000
χ684-44-44400-4-444-4-44-44-4000000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-44-44400-4-444-4-44-44-40000000000000000000000000000000000000000000000000000000002i2−2i20000
χ704-4-444400-4-4-4-4444-4-4400000000000000000000000000000000000000004-4000000000000000000000
χ714-4-444400-4-4-4-4444-4-440000000000000000000000000000000000000000-44000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-8-4-4-88-4-4444422-2-20044-4-40000002-20000000000000000000000000000000000000000000000000
χ748-88-88-400-848-44-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-8-48-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-4-4442-22-2000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ778-88-8-4-40044-4-4442-22-20000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ788-8-888-400-84-84-48-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-84-88-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-42-2-22000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-42-2-220000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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