Finite Group Databasebeta

← Group #11887678

Character table — Group #11887678

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order12223344666666366688121212122424242422448888441212121224242424242444446688121212122424242412121212121212224441212122424444881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111-11-1-111-1-1-1-11111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11111-1-1-1-111111111-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-1-11-1-11
χ51111111111111111111111111111-1-111-1-1-1-11111111111111-111-1-11111-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-111-11-1111-1-1-1-11-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-111111-11-1-11-1-1111-1-11-11-1
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-11111-11111-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1-1-1-1111-111-1-1-111-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-11-111-1-1-1-111-1-111111-1-111-1-1-1-1-1-11111-1-111-111-1-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-11111-111-1-111-1-111-1-1-11-1-1-1-1-11111-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1111-11-1-1-111-1-11-1-11-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11111-11-111-111111-1-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200220022-2-2000000000002200000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-2002200-2-2-2-200000000000-2-200000200002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2200-2-200222200000000000-2-200000-200002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002200-2-200-2-22200000000000220000020000-2000000
χ2122222-122-12-122-1-1-1-1-1222-12-1-1-1-1-1220022222222-1-122-1-1-1-10200-1-10000-1-1-1-1-1-1-1-12-1-1-1-10002200000000000-1-10
χ2222222-122-12-122-1-1-1-1-1222-12-1-1-1-1-122002222-2-2-2-2-1-122-1-1-1-10200-1-10000-1-1-1-1-1-111-21111000-2-200000000000110
χ2322222-122-12-122-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-10-200110000111111-1-12-1-1-1-1000-2-200000000000110
χ2422222-122-12-122-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-10-20011000011111111-211110002200000000000-1-10
χ2522222-122-12-122-1-1-1-1-1-2-22-12-111112200-2-2-2-22-222-1-1-2-211110200-1-10000-1-11111-11-2-1-1110002-200000000000-110
χ2622222-122-12-122-1-1-1-1-1-2-22-12-111112200-2-2-2-2-22-2-2-1-1-2-211110200-1-10000-1-111111-1211-1-1000-22000000000001-10
χ2722222-122-12-122-1-1-1-1-1-2-22-12-11111-2-20022222-222-1-1-2-211110-20011000011-1-1-1-1-11-2-1-111000-22000000000001-10
χ2822222-122-12-122-1-1-1-1-1-2-22-12-11111-2-2002222-22-2-2-1-1-2-211110-20011000011-1-1-1-11-1211-1-10002-200000000000-110
χ292222-12222-12-1-12-1-1-1-122-12-1222220022000022-1-1-1-1-1-1-1-1-1-120220022-1-100000022-1-1-1-1-100200-1-1-1-1-100000-1000
χ302222-12222-12-1-12-1-1-1-122-12-12222200220000-2-211-1-1-1-1-1-1-1-120-2-20022-1-1000000-2-21111100-20011-1-1-1000001000
χ312222-12222-12-1-12-1-1-1-122-12-12222200-2-2000022-1-1-1-1-1-1-1-1-1-1-20-2-200-2-21100000022-1-1-1-1-100-20011111000001000
χ322222-12222-12-1-12-1-1-1-122-12-12222200-2-20000-2-211-1-1-1-1-1-1-1-1-202200-2-211000000-2-21111100200-1-111100000-1000
χ332222-12222-12-1-12-1-1-1-1-2-2-12-12-2-2-2-2002200002-2-1-1-1-1111111202200-2-2-1-10000002-21-1-11100-200-1-1-111000001000
χ342222-12222-12-1-12-1-1-1-1-2-2-12-12-2-2-2-200220000-2211-1-111111120-2-200-2-2-1-1000000-22-111-1-10020011-11100000-1000
χ352222-12222-12-1-12-1-1-1-1-2-2-12-12-2-2-2-200-2-200002-2-1-1-1-1111111-20-2-20022110000002-21-1-11100200111-1-100000-1000
χ362222-12222-12-1-12-1-1-1-1-2-2-12-12-2-2-2-200-2-20000-2211-1-1111111-2022002211000000-22-111-1-100-200-1-11-1-1000001000
χ3722-2-2220022-2-2-2-222-2-22−2000022−2−22-22-222−2−20000002−222−2−200002-22−22-20022−2−200000002-20000002−20002−20000
χ3822-2-2220022-2-2-2-222-2-22−2000022−2−22-2-2222−2−20000002−222−2−200002-2−22-220022−2−20000000-22000000−22000−220000
χ3922-2-2220022-2-2-2-222-2-22−2000022−2−2-222-2−2−2220000002−222−2−20000-222−22-200−2−2220000000-220000002−2000−220000
χ4022-2-2220022-2-2-2-222-2-22−2000022−2−2-22-22−2−2220000002−222−2−20000-22−22-2200−2−22200000002-2000000−220002−20000
χ4122-2-2220022-2-2-2-222-2-2−220000−2−2222-22-2−2−222000000−22−2−22200002-2−222-200−2−22200000002-2000000−22000−220000
χ4222-2-2220022-2-2-2-222-2-2−220000−2−2222-2-22−2−222000000−22−2−22200002-22−2-2200−2−2220000000-220000002−20002−20000
χ4322-2-2220022-2-2-2-222-2-2−220000−2−222-222-222−2−2000000−22−2−2220000-22−222-20022−2−20000000-22000000−220002−20000
χ4422-2-2220022-2-2-2-222-2-2−220000−2−222-22-2222−2−2000000−22−2−2220000-222−2-220022−2−200000002-20000002−2000−220000
χ452-2-2222-22-2-2-22-222-22-20022-2-2000000002i−2i2i−2i00002-2000000002-2000000002i−2i2i−2i0000000000002-20002i−2i0000000
χ462-2-2222-22-2-2-22-222-22-20022-2-2000000002i−2i2i−2i00002-200000000-22000000002i−2i2i−2i000000000000-22000−2i2i0000000
χ472-2-2222-22-2-2-22-222-22-20022-2-200000000−2i2i−2i2i00002-2000000002-200000000−2i2i−2i2i0000000000002-2000−2i2i0000000
χ482-2-2222-22-2-2-22-222-22-20022-2-200000000−2i2i−2i2i00002-200000000-2200000000−2i2i−2i2i000000000000-220002i−2i0000000
χ4944444-2-4-4-24-244-2-2-2-2-200-42-420000440000000000220000000-400-2-2000022000000000000000000000000000000
χ5044444-2-4-4-24-244-2-2-2-2-200-42-420000-4-40000000000220000000400220000-2-2000000000000000000000000000000
χ514444-24-4-44-24-2-24-2-2-2-2002-42-4000000440000000022000000-40000000-2-200000000000000000000200000000000
χ524444-24-4-44-24-2-24-2-2-2-2002-42-4000000-4-40000000022000000400000002200000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-10000000000000000-22211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-100000000000000002-2-2-1-1110000000000000000000
χ5744-4-44-200-242-4-42-2-22222−220000−2−2224-4002222−22−2200000022−22−2−2220000-22000000−2−22200000000000000000000000000
χ5844-4-44-200-242-4-42-2-22222−220000−2−222-4400−22−22222200000022−22−2−22200002-200000022−2−200000000000000000000000000
χ5944-4-44-200-242-4-42-2-222−2222000022−2−24-400−22−222222000000−222222−2−20000-2200000022−2−200000000000000000000000000
χ6044-4-44-200-242-4-42-2-222−2222000022−2−2-44002222−22−22000000−222222−2−200002-2000000−2−22200000000000000000000000000
χ6144-4-4-24004-2-422-4-2-22222−2200002222−22−22004-40000000000−22−2−22200000022−22-22000000000000000000000−22000000000
χ6244-4-4-24004-2-422-4-2-22222−2200002222−22−2200-440000000000−22−2−222000000−22222-20000000000000000000002−2000000000
χ6344-4-4-24004-2-422-4-2-222−22220000−22−222222004-400000000002−222−2−2000000−2222-220000000000000000000002−2000000000
χ6444-4-4-24004-2-422-4-2-222−22220000−22−22222200-4400000000002−222−2−200000022−222-2000000000000000000000−22000000000
χ654-44-44400-4-44-44-44-4-4400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ664-44-44400-4-44-44-44-4-44000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ674-44-44-2002-4-2-442-222-2000000i6−i6i6−i60000−2i22i22i2−2i200000000i6−i6i6−i6000000000023−23i2−i2−i2i200000000000000000000000000
χ684-44-44-2002-4-2-442-222-2000000i6−i6i6−i600002i2−2i2−2i22i200000000i6−i6i6−i60000000000−2323−i2i2i2−i200000000000000000000000000
χ694-44-44-2002-4-2-442-222-2000000−i6i6−i6i60000−2i22i22i2−2i200000000−i6i6−i6i60000000000−2323i2−i2−i2i200000000000000000000000000
χ704-44-44-2002-4-2-442-222-2000000−i6i6−i6i600002i2−2i2−2i22i200000000−i6i6−i6i6000000000023−23−i2i2i2−i200000000000000000000000000
χ714-4-44444-4-4-4-44-444-44-400-4-4440000000000000000-44000000000000000000000000000000000000000000000000
χ724-4-444-24-42-424-4-2-22-2200-424-2−2i32i32i3−2i30000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ734-4-444-24-42-424-4-2-22-2200-424-22i3−2i3−2i32i30000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ744-4-444-2-442-424-4-2-22-22004-2-42000000004i−4i4i−4i0000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ754-4-444-2-442-424-4-2-22-22004-2-4200000000−4i4i−4i4i0000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ764-4-44-244-4-42-4-224-22-22002-4-240000000000000023−232-2000000000000000000000000023−23000000000000000000000
χ774-4-44-244-4-42-4-224-22-22002-4-2400000000000000−23232-20000000000000000000000000−2323000000000000000000000
χ784-4-44-24-44-42-4-224-22-2200-242-40000000000000000-22000000004-4000000000000000000000000-22000000000000
χ794-4-44-24-44-42-4-224-22-2200-242-40000000000000000-2200000000-440000000000000000000000002-2000000000000
χ804-4-44-2-24-4222-22-21-11-10022-2-2−2i32i32i3−2i3000000000023−23-1100i3−i3−i3i30000000000000000000−333i−3i0000000000000000000
χ814-4-44-2-24-4222-22-21-11-10022-2-2−2i32i32i3−2i30000000000−2323-1100i3−i3−i3i300000000000000000003−3−3i3i0000000000000000000
χ824-4-44-2-24-4222-22-21-11-10022-2-22i3−2i3−2i32i3000000000023−23-1100−i3i3i3−i30000000000000000000−33−3i3i0000000000000000000
χ834-4-44-2-24-4222-22-21-11-10022-2-22i3−2i3−2i32i30000000000−2323-1100−i3i3i3−i300000000000000000003−33i−3i0000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-4444422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-4444422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000
χ878-88-8-4800-8484-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-44-442-2-220000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ898-88-8-4-40044-44-442-2-22000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ908-8-88-4-4-88444-44-42-22-200-4-44400000000000000002-2000000000000000000000000000000000000000000000000

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