Finite Group Databasebeta

← Group #11887652

Character table — Group #11887652

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order122233446666663666881212121222224412121212121224242424242424244444446666888812121212121244888844121212121212242424244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-11-1-11-1-111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-111-1-1111-1-1-1-111-11-1
χ10111111111111111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-111-1-1-1-11-11111-1-1-1-1-1-11-11-11
χ11111111111111111111-1-1111111-1-11-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-111-11-1-111-1-11111-1-1-111111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-1111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1111-111-1-1-1-1111111-1-1-11-1-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-1-111-1-11111111-1-1-1-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-111-1111-1-111-1-1-1-1-1-1-1-1-111111-1-11111-1-11-111-1-1-1-11111-1-1111-11111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-11-1-111-1-1-111111-111-1
χ16111111111111111111-1-11111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-111-1-1-1-1-11-1-1-1-111111111-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-200002222000000000022000000-200-2000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22000022-2-20000000000-2-2000000200-200000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-20000-2-2220000000000-2-2000000-200200000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-20000000000220000002002000000-20000
χ2122222-1222-12-1-12-1-1-1-122-12-12002222-1-122-1-122-1-1-1-1-1-102002200-1-100222-1-1-1-1-100000002-1-1-100000-1-10-1000
χ2222222-1222-12-1-12-1-1-1-122-12-120022-2-211-2-2-1-122-1-1-1-1-1-10200-2-200-1-10022-2111110000000-2-11100000-1-101000
χ2322222-1222-12-1-12-1-1-1-122-12-1200-2-222-1-122-1-122-1-1-1-1-1-10-200-2-2001100-2-22-1-1-1-1-10000000-2111000001101000
χ2422222-1222-12-1-12-1-1-1-122-12-1200-2-2-2-211-2-2-1-122-1-1-1-1-1-10-20022001100-2-2-211111000000021-1-100000110-1000
χ2522222-1222-12-1-12-1-1-1-1-2-2-12-1200222-21122-1-1-2-21111110200-2-200-1-100-2-2-2-111-1-100000002-11100000110-1000
χ2622222-1222-12-1-12-1-1-1-1-2-2-12-120022-22-1-1-2-2-1-1-2-211111102002200-1-100-2-221-1-1110000000-2-1-1-1000001101000
χ2722222-1222-12-1-12-1-1-1-1-2-2-12-1200-2-22-21122-1-1-2-21111110-2002200110022-2-111-1-10000000-21-1-100000-1-101000
χ2822222-1222-12-1-12-1-1-1-1-2-2-12-1200-2-2-22-1-1-2-2-1-1-2-21111110-200-2-20011002221-1-1110000000211100000-1-10-1000
χ292222-1222-12-122-1-1-1-1-1222-12-122002222-1-1-1-1-1-122-1-1-1-1202200-1-1002200-12-1-1-1-100000020000-1-1-1-1-10000-100
χ302222-1222-12-122-1-1-1-1-1222-12-12200-2-2-2-211-1-1-1-122-1-1-1-120-2-200-1-10022001-21111000000-20000-111-1-10000100
χ312222-1222-12-122-1-1-1-1-1222-12-1-2-2002222-1-1-1-1-1-122-1-1-1-1-20-2-2001100-2-200-12-1-1-1-1000000-20000111110000100
χ322222-1222-12-122-1-1-1-1-1222-12-1-2-200-2-2-2-211-1-1-1-122-1-1-1-1-2022001100-2-2001-21111000000200001-1-1110000-100
χ332222-1222-12-122-1-1-1-1-1-2-22-12-122002-2-2-2-1-1-1-111-2-21111202200-1-100-2-2001211-1-1000000-20000-1-1-1110000100
χ342222-1222-12-122-1-1-1-1-1-2-22-12-12200-222211-1-111-2-2111120-2-200-1-100-2-200-1-2-1-11100000020000-111110000-100
χ352222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2002-2-2-2-1-1-1-111-2-21111-20-2-200110022001211-1-100000020000111-1-10000-100
χ362222-1222-12-122-1-1-1-1-1-2-22-12-1-2-200-222211-1-111-2-21111-20220011002200-1-2-1-111000000-200001-1-1-1-10000100
χ3722-2-2220022-2-2-2-222-2-22−200002-22-2000000002−22−222−2−20000002-22-22−22−20000002-222−2−2000000002−22−200000
χ3822-2-2220022-2-2-2-222-2-22−200002-2-22000000002−22−222−2−20000002-2-222−2−22000000-22−2−222000000002−2−2200000
χ3922-2-2220022-2-2-2-222-2-22−20000-222-2000000002−22−222−2−2000000-222-2−222−2000000-22−2−22200000000−222−200000
χ4022-2-2220022-2-2-2-222-2-22−20000-22-22000000002−22−222−2−2000000-22-22−22−220000002-222−2−200000000−22−2200000
χ4122-2-2220022-2-2-2-222-2-2−2200002-22-200000000−22−22−2−2220000002-22-2−22−220000002-2−2−22200000000−22−2200000
χ4222-2-2220022-2-2-2-222-2-2−2200002-2-2200000000−22−22−2−2220000002-2-22−222−2000000-2222−2−200000000−222−200000
χ4322-2-2220022-2-2-2-222-2-2−220000-222-200000000−22−22−2−222000000-222-22−2−22000000-2222−2−2000000002−2−2200000
χ4422-2-2220022-2-2-2-222-2-2−220000-22-2200000000−22−22−2−222000000-22-222−22−20000002-2−2−222000000002−22−200000
χ452-22-2222-2-2-2-22-222-2-220022-2-20000000000-2200000000002-22i−2i00000000000000002i−2i2i−2i0002i−2i02-2000000000
χ462-22-2222-2-2-2-22-222-2-220022-2-20000000000-2200000000002-2−2i2i0000000000000000−2i2i−2i2i000−2i2i02-2000000000
χ472-22-2222-2-2-2-22-222-2-220022-2-20000000000-220000000000-222i−2i0000000000000000−2i2i−2i2i0002i−2i0-22000000000
χ482-22-2222-2-2-2-22-222-2-220022-2-20000000000-220000000000-22−2i2i00000000000000002i−2i2i−2i000−2i2i0-22000000000
χ4944444-2-4-44-24-2-24-2-2-2-2002-42-4004400000022000000000-4000000-2-2000000000000000000200000000000000
χ5044444-2-4-44-24-2-24-2-2-2-2002-42-400-4-400000022000000000400000022000000000000000000-200000000000000
χ514444-24-4-4-24-244-2-2-2-2-200-42-4244000000002200000000-400000-2-200000000000000000000000200000000000
χ524444-24-4-4-24-244-2-2-2-2-200-42-42-4-40000000022000000004000002200000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-211110000000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-422-2-2112222-1-1-1-1000000000000002-2-1-11100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-44-2-222112222-1-1-1-100000000000000-2211-1-100000000000000000000000
χ5744-4-44-2004-2-422-4-2-22222−220000004-40000000022−22−22−2−22200000000-220022−220000000000000000000000−2200000
χ5844-4-44-2004-2-422-4-2-22222−22000000-440000000022−22−22−2−222000000002-200−222200000000000000000000002−200000
χ5944-4-44-2004-2-422-4-2-222−22220000004-400000000−22222−222−2−200000000-2200−222200000000000000000000002−200000
χ6044-4-44-2004-2-422-4-2-222−2222000000-4400000000−22222−222−2−2000000002-20022−220000000000000000000000−2200000
χ6144-4-4-2400-242-4-42-2-22222−2200004-40000000000−2222−22−2−222000000-220022−220000000000000000000000−220000000
χ6244-4-4-2400-242-4-42-2-22222−220000-440000000000−2222−22−2−2220000002-200−222200000000000000000000002−20000000
χ6344-4-4-2400-242-4-42-2-222−222200004-400000000002−2−222222−2−2000000-2200−222200000000000000000000002−20000000
χ6444-4-4-2400-242-4-42-2-222−22220000-4400000000002−2−222222−2−20000002-20022−220000000000000000000000−220000000
χ654-44-444-44-4-4-44-444-4-4400-4-44400000000004-4000000000000000000000000000000000000000000000000000
χ664-44-44-24-4-42-4-224-222-200-242-400000000002-20000000000004i−4i00000000000000000000000−2i2i000000000000
χ674-44-44-24-4-42-4-224-222-200-242-400000000002-2000000000000−4i4i000000000000000000000002i−2i000000000000
χ684-44-44-2-44-42-4-224-222-2002-4-2400000023−2300-2200000000000000000000000023−230000000000000000000000000
χ694-44-44-2-44-42-4-224-222-2002-4-24000000−232300-22000000000000000000000000−23230000000000000000000000000
χ704-44-4-244-42-424-4-2-222-2004-2-4200000000002-200000000004-40000000000000000000000000000-22000000000
χ714-44-4-244-42-424-4-2-222-2004-2-4200000000002-20000000000-4400000000000000000000000000002-2000000000
χ724-44-4-24-442-424-4-2-222-200-424-200000000−2i32i3-2200000000000000000000000000−2i32i300000000000000000000000
χ734-44-4-24-442-424-4-2-222-200-424-2000000002i3−2i3-22000000000000000000000000002i3−2i300000000000000000000000
χ744-44-4-2-2-44222-22-21-1-110022-2-200000023−23−2i32i31-100003i−3i3i−3i0000000000000000−33i3−i300000000000000000000000
χ754-44-4-2-2-44222-22-21-1-110022-2-200000023−232i3−2i31-10000−3i3i−3i3i0000000000000000−33−i3i300000000000000000000000
χ764-44-4-2-2-44222-22-21-1-110022-2-2000000−2323−2i32i31-10000−3i3i−3i3i00000000000000003−3i3−i300000000000000000000000
χ774-44-4-2-2-44222-22-21-1-110022-2-2000000−23232i3−2i31-100003i−3i3i−3i00000000000000003−3−i3i300000000000000000000000
χ784-4-444400-4-44-44-44-44-4000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ794-4-444400-4-44-44-44-44-40000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-4444422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ838-88-8-4-48-8444-44-42-2-2200-4-4440000000000-22000000000000000000000000000000000000000000000000000
χ848-8-888-400-8484-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-4-884-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-442-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ878-8-88-4-40044-44-442-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000

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