Finite Group Databasebeta

← Group #11897582

Character table — Group #11897582

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242422224444121212121212121212124444666688121224242424488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-11-111-1-1111111-1-11-111-1-11-1-1111-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-111-11-11-1-111111111-1-1-11-1-111-111-1-1-111-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-111-1-1-11-111
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1111-11-111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111-1-1-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111111-11-111-1-11-111-1-1-1-1-1-11111-11-11-1-111-111-1-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1111111111-111-1-111-1111-1-1-1-111-1-1-1-11-1-1-111-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1111-1-1-11111-1-111111-1-11-11-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-1-111-1-1-1-11-11-111-1-1-11111-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-11-1-111-1-1-1-111111-11-111-1-1-111-1-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1111-1-111-1-111111-1-1-11-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111111-1-1-111-1-111-1-1-1-11-1-11-1-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1-111-1-1-1-1-11-11-1-111-111111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000000022-2-222-2-200000022000000002-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000002-2-222222000000-2-200000000-2-200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-2000000000000-222-2-2-2-2-2000000-2-2000000002200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-2000000000000-2-222-2-2220000002200000000-220000-2000000
χ2122222-1222-12-12-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-10022020200-1-1-12-1-1-1-1000200-1-102-1000-1-10000-100
χ2222222-1222-12-12-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-100-2-20-20-20011-12-1-1-1-1000-200110-21000110000100
χ2322222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-100220-20-200111-21111000200-1-10-21000110000-100
χ2422222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-100-2-2020200-1-11-21111000-2001102-1000-1-10000100
χ2522222-1222-12-12-1-1-1-1-1-2-22-12-12-22211-1-1-2-211111100220-20-20011-1-2-1-111000-200-1-1021000-1-10000100
χ2622222-1222-12-12-1-1-1-1-1-2-22-12-12-22211-1-1-2-211111100-2-2020200-1-1-1-2-1-111000200110-2-1000110000-100
χ2722222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-21111110022020200-1-11211-1-1000-200-1-10-2-1000110000100
χ2822222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-211111100-2-20-20-200111211-1-100020011021000-1-10000-100
χ292222-1222-12-12-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-122002020-1-1002-1-1-1-1-10020-1-100200-1-1-100000-1000
χ302222-1222-12-12-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1-2-200-20-2011002-1-1-1-1-100-201100-200111000001000
χ312222-1222-12-12-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-12200-20-201100-2111110020-1-100-20011100000-1000
χ322222-1222-12-12-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1-2-2002020-1-100-21111100-201100200-1-1-1000001000
χ332222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-2111122002020-1-10021-1-11100-20-1-100-200-111000001000
χ342222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111-2-200-20-20110021-1-111002011002001-1-100000-1000
χ352222-1222-12-12-12-1-1-1-1-2-2-12-12-221122-1-111-2-211112200-20-201100-2-111-1-100-20-1-1002001-1-1000001000
χ362222-1222-12-12-12-1-1-1-1-2-2-12-12-221122-1-111-2-21111-2-2002020-1-100-2-111-1-100201100-200-11100000-1000
χ3722-2-222-2222-2-2-2-222-2-20022-2-20000002-2000000002-22-20000000000000000002-22-20000000002-20000
χ3822-2-222-2222-2-2-2-222-2-20022-2-20000002-2000000002-2-220000000000000000002-2-22000000000-220000
χ3922-2-222-2222-2-2-2-222-2-20022-2-20000002-200000000-222-2000000000000000000-222-2000000000-220000
χ4022-2-222-2222-2-2-2-222-2-20022-2-20000002-200000000-22-22000000000000000000-22-220000000002-20000
χ4144444-2-4-44-24-24-2-2-2-2-200-42-4200000022000000000000040-400220000000000000000-2000000000000
χ4244444-2-4-44-24-24-2-2-2-2-200-42-42000000220000000000000-40400-2-200000000000000002000000000000
χ434444-24-4-4-24-24-24-2-2-2-2002-42-40000002200000000000040-40-2-20000000000000000000200000000000
χ444444-24-4-4-24-24-24-2-2-2-2002-42-400000022000000000000-4040220000000000000000000-200000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ4944-4-4444-444-4-4-4-444-4-400-4-444000000-440000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-42-42-2-22200-424-2000023−232-200000000000000000000000023−2300000000000000000000000
χ5144-4-44-24-44-2-42-42-2-22200-424-20000−23232-2000000000000000000000000−232300000000000000000000000
χ5244-4-44-2-444-2-42-42-2-222004-2-42000000-2200000000004-400000000000000000000-22000000000000000
χ5344-4-44-2-444-2-42-42-2-222004-2-42000000-220000000000-44000000000000000000002-2000000000000000
χ5444-4-4-244-4-242-42-4-2-222002-4-240023−23002-2000000000000000000000023−230000000000000000000000000
χ5544-4-4-244-4-242-42-4-2-222002-4-2400−2323002-20000000000000000000000−23230000000000000000000000000
χ5644-4-4-24-44-242-42-4-2-22200-242-4000000-22000000004-400000000000000000000-2200000000000000000
χ5744-4-4-24-44-242-42-4-2-22200-242-4000000-2200000000-44000000000000000000002-200000000000000000
χ5844-4-4-2-24-4-2-2222211-1-10022-2-20023−2323−23-11000033-3-300000000000000−33−3300000000000000000000000
χ5944-4-4-2-24-4-2-2222211-1-10022-2-20023−23−2323-110000-3-33300000000000000−333−300000000000000000000000
χ6044-4-4-2-24-4-2-2222211-1-10022-2-200−232323−23-110000-3-333000000000000003−3−3300000000000000000000000
χ6144-4-4-2-24-4-2-2222211-1-10022-2-200−2323−2323-11000033-3-3000000000000003−33−300000000000000000000000
χ624-44-44400-4-444-4-44-44-4−2i22i2000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ634-44-44400-4-444-4-44-44-42i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ644-44-44-200-424-2-42-22-22−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i2000000000023−2300000000000000000000i6−i60000000
χ654-44-44-200-424-2-42-22-22−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i20000000000−232300000000000000000000−i6i60000000
χ664-44-44-200-424-2-42-22-222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i2000000000023−2300000000000000000000−i6i60000000
χ674-44-44-200-424-2-42-22-222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i20000000000−232300000000000000000000i6−i60000000
χ684-44-4-24002-4-242-4-22-22−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i200000000−2i32i3000000000000000000006−6000000000
χ694-44-4-24002-4-242-4-22-22−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i2000000002i3−2i300000000000000000000−66000000000
χ704-44-4-24002-4-242-4-22-222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i200000000−2i32i300000000000000000000−66000000000
χ714-44-4-24002-4-242-4-22-222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i2000000002i3−2i3000000000000000000006−6000000000
χ724-4-444400-4-4-4-4444-4-4400000000000000000000000000000000000000004-4000000000000000000000
χ734-4-444400-4-4-4-4444-4-440000000000000000000000000000000000000000-44000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-4-4444422-2-200-4-4440000002-20000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-4-4442-22-2−4i24i20000000000002i2−2i22i2−2i2−i2i2−i2i200000000000000000000000000000000000000000
χ778-88-8-4-40044-4-4442-22-24i2−4i2000000000000−2i22i2−2i22i2i2−i2i2−i200000000000000000000000000000000000000000
χ788-8-888-400-84-848-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-84-8-48-444-4000000000000000000000000000000000000000000000000000000000000000
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).