Finite Group Databasebeta

← Group #11887548

Character table — Group #11887548

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order12223344666666366688121212122424242422448888441212121224242424242444446688121212122424242412121212121212224441212122424444881212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1111
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-111-1-11-1-11
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-1-111-11-1111-1-11-1-1-1-1-1-111
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-111111-111-1-1-1-1111-1-111-1-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11111-1-1-11111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-111-1-111-11-1-1-1-1-1-1-1111-111
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-111111-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1111111-1-1-1-111-1-1-111-1-1-1-11-11111-1-1-111-11-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1111-11-1-1-1111-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-11111-11-1-11111111-1-1-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-200-22200-2-2220000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000200-2220022-2-200000000000-2-2000-20000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2002-2-200-2-22200000000000-2-200020000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002002-2-20022-2-2000000000002200020000-200000000
χ2122222-1222-1-1-122-1-1-1-122-12-1222222200000022-1-1-1-1-1-1-1-1-1-10222-1-12200000000-122-1-1-1-100200-1-1-1-1-100000-1000
χ2222222-1222-1-1-122-1-1-1-122-12-12222222000000-2-211-1-1-1-1-1-1-1-10-2-22-1-122000000001-2-2111100-200-111-1-1000001000
χ2322222-1222-1-1-122-1-1-1-122-12-122222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-211-2-200000000-122-1-1-1-100-20011111000001000
χ2422222-1222-1-1-122-1-1-1-122-12-122222-2-2000000-2-211-1-1-1-1-1-1-1-1022-211-2-2000000001-2-21111002001-1-11100000-1000
χ2522222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-2220000002-2-1-1-1-11111110222-1-1-2-2000000001-22-1-11100-200-1-1-111000001000
χ2622222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-222000000-2211-1-11111110-2-22-1-1-2-200000000-12-211-1-100200-1111100000-1000
χ2722222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-2-2-20000002-2-1-1-1-11111110-2-2-21122000000001-22-1-11100200111-1-100000-1000
χ2822222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-2-2-2000000-2211-1-1111111022-2112200000000-12-211-1-100-2001-1-1-1-1000001000
χ292222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-1002222222222-1-122-1-1-1-120000000-1-1-1-1-1-1-1-12-1-1-1-1-1-10002200000000000-1-10
χ302222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-100222222-2-2-2-2-1-122-1-1-1-120000000-1-1-1-1-1-1-1-1-2111111000-2-200000000000110
χ312222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-20000000111111112-1-1-1-1-1-1000-2-200000000000110
χ322222-1222-1222-1-1-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-2000000011111111-21111110002200000000000-1-10
χ332222-1222-1222-1-1-1-1-1-1-2-22-12-111110022-2-2-2-22-222-1-1-2-2111120000000-1-1-1-11111-21-1-1-1110002-2000000000001-10
χ342222-1222-1222-1-1-1-1-1-1-2-22-12-111110022-2-2-2-2-22-2-2-1-1-2-2111120000000-1-1-1-111112-1111-1-1000-2200000000000-110
χ352222-1222-1222-1-1-1-1-1-1-2-22-12-1111100-2-222222-222-1-1-2-21111-200000001111-1-1-1-1-21-1-1-111000-2200000000000-110
χ362222-1222-1222-1-1-1-1-1-1-2-22-12-1111100-2-22222-22-2-2-1-1-2-21111-200000001111-1-1-1-12-1111-1-10002-2000000000001-10
χ372-22-22200-2-2-22-222-22-2−i2i20000−i2−i2i2i22-22-2−i2−i2i2i2000000−i2i2−i2−i2i2i200002-2−i2i2002-2−i2−i2i2i200000002-2000000−i2i2000−i2i20000
χ382-22-22200-2-2-22-222-22-2−i2i20000−i2−i2i2i22-2-22i2i2−i2−i2000000−i2i2−i2−i2i2i200002-2−i2i200-22i2i2−i2−i20000000-22000000−i2i2000i2−i20000
χ392-22-22200-2-2-22-222-22-2−i2i20000−i2−i2i2i2-222-2−i2−i2i2i2000000−i2i2−i2−i2i2i20000-22i2−i2002-2−i2−i2i2i20000000-22000000i2−i2000i2−i20000
χ402-22-22200-2-2-22-222-22-2−i2i20000−i2−i2i2i2-22-22i2i2−i2−i2000000−i2i2−i2−i2i2i20000-22i2−i200-22i2i2−i2−i200000002-2000000i2−i2000−i2i20000
χ412-22-22200-2-2-22-222-22-2i2−i20000i2i2−i2−i22-22-2i2i2−i2−i2000000i2−i2i2i2−i2−i200002-2i2−i2002-2i2i2−i2−i200000002-2000000i2−i2000i2−i20000
χ422-22-22200-2-2-22-222-22-2i2−i20000i2i2−i2−i22-2-22−i2−i2i2i2000000i2−i2i2i2−i2−i200002-2i2−i200-22−i2−i2i2i20000000-22000000i2−i2000−i2i20000
χ432-22-22200-2-2-22-222-22-2i2−i20000i2i2−i2−i2-222-2i2i2−i2−i2000000i2−i2i2i2−i2−i20000-22−i2i2002-2i2i2−i2−i20000000-22000000−i2i2000−i2i20000
χ442-22-22200-2-2-22-222-22-2i2−i20000i2i2−i2−i2-22-22−i2−i2i2i2000000i2−i2i2i2−i2−i20000-22−i2i200-22−i2−i2i2i200000002-2000000−i2i2000i2−i20000
χ452-2-22222-2-22-2-22-22-2-220022-2-2000000002i−2i2i−2i0000-2200000002i−2i0000000002i−2i2i−2i00000000000002i−2i0002-2000000
χ462-2-22222-2-22-2-22-22-2-220022-2-2000000002i−2i2i−2i0000-220000000−2i2i0000000002i−2i2i−2i0000000000000−2i2i000-22000000
χ472-2-22222-2-22-2-22-22-2-220022-2-200000000−2i2i−2i2i0000-2200000002i−2i000000000−2i2i−2i2i00000000000002i−2i000-22000000
χ482-2-22222-2-22-2-22-22-2-220022-2-200000000−2i2i−2i2i0000-220000000−2i2i000000000−2i2i−2i2i0000000000000−2i2i0002-2000000
χ4944444-2-4-44-2-2-244-2-2-2-2002-42-4000044000000000022000000000-4-2-2000000000000000000000020000000000000
χ5044444-2-4-44-2-2-244-2-2-2-2002-42-40000-4-40000000000220000000004220000000000000000000000-20000000000000
χ514444-24-4-4-2444-2-2-2-2-2-200-42-42000000440000000022000000-4000000022-2-2000000000000000000000000000000
χ524444-24-4-4-2444-2-2-2-2-2-200-42-42000000-4-4000000002200000040000000-2-222000000000000000000000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-1000000000000000022-211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-10000000000000000-2-22-1-1110000000000000000000
χ5744-4-444004-44-4-4-444-4-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-444004-44-4-4-444-4-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-4-2400-2-44-422-2-222000000i6−i6i6−i6000022−22−222200000000i6−i6i6−i600000000−2i32i300−222−200000000000000000000000000
χ6044-4-4-2400-2-44-422-2-222000000i6−i6i6−i60000−222222−2200000000i6−i6i6−i6000000002i3−2i3002−2−2200000000000000000000000000
χ6144-4-4-2400-2-44-422-2-222000000−i6i6−i6i6000022−22−222200000000−i6i6−i6i6000000002i3−2i300−222−200000000000000000000000000
χ6244-4-4-2400-2-44-422-2-222000000−i6i6−i6i60000−222222−2200000000−i6i6−i6i600000000−2i32i3002−2−2200000000000000000000000000
χ634-44-44-200-422-2-44-22-22−2i22i20000−2i2−2i22i22i24-4000000000000i2−i2i2i2−i2−i20000-22−2i22i200000000000000000000000i2−i2000000000
χ644-44-44-200-422-2-44-22-22−2i22i20000−2i2−2i22i22i2-44000000000000i2−i2i2i2−i2−i200002-22i2−2i200000000000000000000000−i2i2000000000
χ654-44-44-200-422-2-44-22-222i2−2i200002i22i2−2i2−2i24-4000000000000−i2i2−i2−i2i2i20000-222i2−2i200000000000000000000000−i2i2000000000
χ664-44-44-200-422-2-44-22-222i2−2i200002i22i2−2i2−2i2-44000000000000−i2i2−i2−i2i2i200002-2−2i22i200000000000000000000000i2−i2000000000
χ674-44-4-24002-4-442-2-22-22−2i22i20000i2i2−i2−i2004-4−2i2−2i22i22i2000000−2i22i2i2i2−i2−i20000000000-22i2i2−i2−i200000000000000000000000000
χ684-44-4-24002-4-442-2-22-22−2i22i20000i2i2−i2−i200-442i22i2−2i2−2i2000000−2i22i2i2i2−i2−i200000000002-2−i2−i2i2i200000000000000000000000000
χ694-44-4-24002-4-442-2-22-222i2−2i20000−i2−i2i2i2004-42i22i2−2i2−2i20000002i2−2i2−i2−i2i2i20000000000-22−i2−i2i2i200000000000000000000000000
χ704-44-4-24002-4-442-2-22-222i2−2i20000−i2−i2i2i200-44−2i2−2i22i22i20000002i2−2i2−i2−i2i2i200000000002-2i2i2−i2−i200000000000000000000000000
χ714-4-4444-44-44-4-44-44-4-4400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ724-4-444-24-4-4-2224-4-222-200-242-400000000000000002-200000004i−4i00000000000000000000000000−2i2i00000000000
χ734-4-444-24-4-4-2224-4-222-200-242-400000000000000002-20000000−4i4i000000000000000000000000002i−2i00000000000
χ744-4-444-2-44-4-2224-4-222-2002-4-240000000000000023−23-22000000000000000000000000023−23000000000000000000000
χ754-4-444-2-44-4-2224-4-222-2002-4-2400000000000000−2323-220000000000000000000000000−2323000000000000000000000
χ764-4-44-244-424-4-4-22-222-2004-2-42000000004i−4i4i−4i00002-2000000000000000000−2i2i−2i2i00000000000000000000000000
χ774-4-44-244-424-4-4-22-222-2004-2-4200000000−4i4i−4i4i00002-20000000000000000002i−2i2i−2i00000000000000000000000000
χ784-4-44-24-4424-4-4-22-222-200-424-223−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ794-4-44-24-4424-4-4-22-222-200-424-2−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ804-4-44-2-2-442-222-221-1-110022-2-223−23−2323000000000023−231-100−333−30000000000000000000−333-30000000000000000000
χ814-4-44-2-2-442-222-221-1-110022-2-223−23−23230000000000−23231-100−333−300000000000000000003−3-330000000000000000000
χ824-4-44-2-2-442-222-221-1-110022-2-2−232323−23000000000023−231-1003−3−330000000000000000000−33-330000000000000000000
χ834-4-44-2-2-442-222-221-1-110022-2-2−232323−230000000000−23231-1003−3−3300000000000000000003−33-30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-88-40084-44-8-8-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-444422-2-20000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8788-8-8-4-400-44-444422-2-2000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-400444-44-42-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ898-88-8-4-400444-44-42-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ908-8-88-4-48-84-444-442-2-2200-4-4440000000000000000-22000000000000000000000000000000000000000000000000

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