Finite Group Databasebeta

← Group #11887312

Character table — Group #11887312

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order12223344666666366688121212122424242444448888241212121224242424242424448812121212121224242424666612121222444612122424224881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111-1-11111-1-1-1-111111111-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-11-11
χ51111111111111111111111111111-1-111-1-1-1-11111111111111-1111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-11-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1111-111-1-1-1-1111-1-111-1-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-11-1111-1-1-1-11-1-1-1-111
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11111-1-1-1111-1-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-111-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-1-1-1-1-1-111-1111
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-111111-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1111-1-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-11-1-11111111-1-1-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-11-1-111-11
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200002222-2-20000000000022000-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-20000-2-222-2-200000000000-2-200020000002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-22000022-2-22200000000000-2-2000-20000002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000220000-2-2-2-22200000000000220002000000-2000000
χ2122222-122-12-12-12-1-1-1-122-12-1222220022000022-1-1-1-1-1-1-1-1-1-1202222-1-1000000002-1-1-12-1-100200-1-1-1-1-1000000-100
χ2222222-122-12-12-12-1-1-1-122-12-12222200220000-2-211-1-1-1-1-1-1-1-120-2-222-1-100000000-2111-21100-200-111-1-1000000100
χ2322222-122-12-12-12-1-1-1-122-12-12222200-2-2000022-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211000000002-1-1-12-1-100-20011111000000100
χ2422222-122-12-12-12-1-1-1-122-12-12222200-2-20000-2-211-1-1-1-1-1-1-1-1-2022-2-21100000000-2111-211002001-1-111000000-100
χ2522222-122-12-12-12-1-1-1-1-2-2-12-12-2-2-2-2002200002-211-1-111111120-2-2-2-2-1-1000000002-1-1-1-21100200-11111000000-100
χ2622222-122-12-12-12-1-1-1-1-2-2-12-12-2-2-2-200220000-22-1-1-1-11111112022-2-2-1-100000000-21112-1-100-200-1-1-111000000100
χ2722222-122-12-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2-200002-211-1-1111111-20222211000000002-1-1-1-21100-2001-1-1-1-1000000100
χ2822222-122-12-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2-20000-22-1-1-1-1111111-20-2-2221100000000-21112-1-100200111-1-1000000-100
χ292222-12222-12-12-1-1-1-1-1222-12-1-1-1-1-1220022222222-1-122-1-1-1-102000000-1-1-1-1-1-1-1-1-12-1-1-1-1-1000220000000000-10-10
χ302222-12222-12-12-1-1-1-1-1222-12-1-1-1-1-122002222-2-2-2-2-1-122-1-1-1-102000000-1-1-1-1-1-1-1-11-211111000-2-200000000001010
χ312222-12222-12-12-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-10-200000011111111-12-1-1-1-1-1000-2-200000000001010
χ322222-12222-12-12-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-10-2000000111111111-211111000220000000000-10-10
χ332222-12222-12-12-1-1-1-1-1-2-22-12-111112200-2-2-2-22-2-2-2-1-1-2-2111102000000-1-1-1-11111-12-1-1111000-220000000000-1010
χ342222-12222-12-12-1-1-1-1-1-2-22-12-111112200-2-2-2-2-2222-1-1-2-2111102000000-1-1-1-111111-211-1-1-10002-2000000000010-10
χ352222-12222-12-12-1-1-1-1-1-2-22-12-11111-2-20022222-2-2-2-1-1-2-211110-20000001111-1-1-1-1-12-1-11110002-2000000000010-10
χ362222-12222-12-12-1-1-1-1-1-2-22-12-11111-2-2002222-2222-1-1-2-211110-20000001111-1-1-1-11-211-1-1-1000-220000000000-1010
χ372-22-22200-2-22-2-2222-2-2−i2i20000−i2−i2i2i22i−2i2i−2i22−2−2000000−i2i2−i2−i2i2i200002−22i−2i2i−2i0022−2−200000002-20000002−2000−i2i20000
χ382-22-22200-2-22-2-2222-2-2−i2i20000−i2−i2i2i22i−2i−2i2i22−2−2000000−i2i2−i2−i2i2i20000−22−2i2i2i−2i0022−2−20000000-22000000−22000i2−i20000
χ392-22-22200-2-22-2-2222-2-2−i2i20000−i2−i2i2i2−2i2i2i−2i−2−222000000−i2i2−i2−i2i2i200002−22i−2i−2i2i00−2−2220000000-220000002−2000i2−i20000
χ402-22-22200-2-22-2-2222-2-2−i2i20000−i2−i2i2i2−2i2i−2i2i−2−222000000−i2i2−i2−i2i2i20000−22−2i2i−2i2i00−2−22200000002-2000000−22000−i2i20000
χ412-22-22200-2-22-2-2222-2-2i2−i20000i2i2−i2−i22i−2i2i−2i−2−222000000i2−i2i2i2−i2−i20000−222i−2i2i−2i00−2−22200000002-2000000−22000i2−i20000
χ422-22-22200-2-22-2-2222-2-2i2−i20000i2i2−i2−i22i−2i−2i2i−2−222000000i2−i2i2i2−i2−i200002−2−2i2i2i−2i00−2−2220000000-220000002−2000−i2i20000
χ432-22-22200-2-22-2-2222-2-2i2−i20000i2i2−i2−i2−2i2i2i−2i22−2−2000000i2−i2i2i2−i2−i20000−222i−2i−2i2i0022−2−20000000-22000000−22000−i2i20000
χ442-22-22200-2-22-2-2222-2-2i2−i20000i2i2−i2−i2−2i2i−2i2i22−2−2000000i2−i2i2i2−i2−i200002−2−2i2i−2i2i0022−2−200000002-20000002−2000i2−i20000
χ452-2-22222-22-2-22-2-22-22-20022-2-2000000002i−2i2i−2i0000-22000000002i−2i000000002i−2i2i−2i00000000000002i−2i002-20000000
χ462-2-22222-22-2-22-2-22-22-20022-2-2000000002i−2i2i−2i0000-2200000000−2i2i000000002i−2i2i−2i0000000000000−2i2i00-220000000
χ472-2-22222-22-2-22-2-22-22-20022-2-200000000−2i2i−2i2i0000-22000000002i−2i00000000−2i2i−2i2i00000000000002i−2i00-220000000
χ482-2-22222-22-2-22-2-22-22-20022-2-200000000−2i2i−2i2i0000-2200000000−2i2i00000000−2i2i−2i2i0000000000000−2i2i002-20000000
χ4944444-2-4-4-24-24-24-2-2-2-2002-42-4000000440000000022000000-400000-2-20000000000000000000020000000000000
χ5044444-2-4-4-24-24-24-2-2-2-2002-42-4000000-4-400000000220000004000002200000000000000000000-20000000000000
χ514444-24-4-44-24-24-2-2-2-2-200-42-420000440000000000220000000-4000000-2-222000000000000000000000000000000
χ524444-24-4-44-24-24-2-2-2-2-200-42-420000-4-40000000000220000000400000022-2-2000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-211-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-21111000000000000000022-1-12-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-2-2112-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-1000000000000000022-1-1-2110000000000000000000
χ5744-4-44400-44-4-44-44-4-4400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ5844-4-44400-44-4-44-44-4-44000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ5944-4-4-2400-4-2-4242-222-2000000i6−i6i6−i60000−2i22i22i2−2i200000000i6−i6i6−i6000000000023−23i2−i2−i2i200000000000000000000000000
χ6044-4-4-2400-4-2-4242-222-2000000i6−i6i6−i600002i2−2i2−2i22i200000000i6−i6i6−i60000000000−2323−i2i2i2−i200000000000000000000000000
χ6144-4-4-2400-4-2-4242-222-2000000−i6i6−i6i60000−2i22i22i2−2i200000000−i6i6−i6i60000000000−2323i2−i2−i2i200000000000000000000000000
χ6244-4-4-2400-4-2-4242-222-2000000−i6i6−i6i600002i2−2i2−2i22i200000000−i6i6−i6i6000000000023−23−i2i2i2−i200000000000000000000000000
χ634-44-44-2002-4-2-424-2-222−2i22i20000−2i2−2i22i22i2004i−4i0000000000i2−i2i2i2−i2−i2000022−22−2i2i00000000000000000000000−22000000000
χ644-44-44-2002-4-2-424-2-222−2i22i20000−2i2−2i22i22i200−4i4i0000000000i2−i2i2i2−i2−i20000−22222i−2i000000000000000000000002−2000000000
χ654-44-44-2002-4-2-424-2-2222i2−2i200002i22i2−2i2−2i2004i−4i0000000000−i2i2−i2−i2i2i20000−2222−2i2i000000000000000000000002−2000000000
χ664-44-44-2002-4-2-424-2-2222i2−2i200002i22i2−2i2−2i200−4i4i0000000000−i2i2−i2−i2i2i2000022−222i−2i00000000000000000000000−22000000000
χ674-44-4-2400-4242-4-2-2-222−2i22i20000i2i2−i2−i24i−4i002222−22−22000000−2i22i2i2i2−i2−i200000000−2i2i00−2−22200000000000000000000000000
χ684-44-4-2400-4242-4-2-2-222−2i22i20000i2i2−i2−i2−4i4i00−22−222222000000−2i22i2i2i2−i2−i2000000002i−2i0022−2−200000000000000000000000000
χ694-44-4-2400-4242-4-2-2-2222i2−2i20000−i2−i2i2i24i−4i00−22−2222220000002i2−2i2−i2−i2i2i200000000−2i2i0022−2−200000000000000000000000000
χ704-44-4-2400-4242-4-2-2-2222i2−2i20000−i2−i2i2i2−4i4i002222−22−220000002i2−2i2−i2−i2i2i2000000002i−2i00−2−22200000000000000000000000000
χ714-4-4444-444-4-44-4-44-44-400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ724-4-444-24-4-2-4242-4-22-2200-242-400000000000000002-2000000004i−4i0000000000000000000000000−2i2i00000000000
χ734-4-444-24-4-2-4242-4-22-2200-242-400000000000000002-200000000−4i4i00000000000000000000000002i−2i00000000000
χ744-4-444-2-44-2-4242-4-22-22002-4-240000000000000023−23-2200000000000000000000000000023−230000000000000000000
χ754-4-444-2-44-2-4242-4-22-22002-4-2400000000000000−2323-22000000000000000000000000000−23230000000000000000000
χ764-4-44-244-442-4-2-42-22-22004-2-42000000004i−4i4i−4i00002-2000000000000000000−2i2i−2i2i00000000000000000000000000
χ774-4-44-244-442-4-2-42-22-22004-2-4200000000−4i4i−4i4i00002-20000000000000000002i−2i2i−2i00000000000000000000000000
χ784-4-44-24-4442-4-2-42-22-2200-424-223−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ794-4-44-24-4442-4-2-42-22-2200-424-2−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ804-4-44-2-2-44-222-2221-11-10022-2-223−23−2323000000000023−231-100−333−30000000000000000003-30−330000000000000000000
χ814-4-44-2-2-44-222-2221-11-10022-2-223−23−23230000000000−23231-100−333−3000000000000000000-3303−30000000000000000000
χ824-4-44-2-2-44-222-2221-11-10022-2-2−232323−23000000000023−231-1003−3−33000000000000000000-330−330000000000000000000
χ834-4-44-2-2-44-222-2221-11-10022-2-2−232323−230000000000−23231-1003−3−330000000000000000003-303−30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-88-400484-8-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-444-442-2-220000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8788-8-8-4-4004-444-442-2-22000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-40044-444-422-2-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ898-88-8-4-40044-444-422-2-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ908-8-88-4-48-8-444-4442-22-200-4-4440000000000000000-22000000000000000000000000000000000000000000000000

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