Finite Group Databasebeta

← Group #11888610

Character table — Group #11888610

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order12223344666666223666881212121224242424441212121246666121212122424242424242444466881212242424246612121244481212121212121224242412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-11111-1-1111111111-1-11-111-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-11-1-11-1-1-1-111-1-1-1-11111111-11-1-11-1-11111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-1111-1-111-1-1-1-111-1-1-11-11-1-1-111111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-11111111111-1-1-11-1-1-1111-1-111-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-11-1111-1-1-1-1-111111-11-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1111-11-1-1111-1-1-1-1-1-11111-1-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11-111-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1-1-111
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-11-1-111111111-1-1111-111-1-1-1111-1-1-1-1-1-11-111
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-111-1-1-111111111-11-1-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2200-2-2-20022000000000000000-2000000-220000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2-2002-2-200-2-200000000000000020000002-20000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-2220022000000000000000-20000002-20000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002-20022200-2-20000000000000002000000-220000
χ2122222-1222-1-12-1222-1-1-1-1222-12-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-120220-1-12200-1-1-1-1-1-12-1-10020-1-10-1-10000000000
χ2222222-1222-1-12-1222-1-1-1-1222-12-1-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-1-20-2-2011-2-2001111-1-12-1-100-20110110000000000
χ2322222-1222-1-12-1222-1-1-1-1-2-22-12-1111122-1-1-1-1-222-1-111-1-1-2-2111120-2-20-1-1-2-2001111-1-1-2110020110-1-10000000000
χ2422222-1222-1-12-1222-1-1-1-1-2-22-12-11111-2-21111-222-1-111-1-1-2-21111-20220112200-1-1-1-1-1-1-21100-20-1-10110000000000
χ2522222-1222-1-12-12-2-2-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-120-2-20-1-12200-1-1-1-111-21100-20110110000000000
χ2622222-1222-1-12-12-2-2-1-1-1-1222-12-1-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-1-2022011-2-200111111-2110020-1-10-1-10000000000
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-22-12-1111122-1-1-1-12-2-211-1-1-1-1-2-2111120220-1-1-2-2001111112-1-100-20-1-10110000000000
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-22-12-11111-2-211112-2-211-1-1-1-1-2-21111-20-2-20112200-1-1-1-1112-1-10020110-1-10000000000
χ292222-1222-122-12-122-1-1-1-122-12-1222220000002-1-12222-1-1-1-1-1-1-1-1020020000-1-10000-1-1-1-1-1220200-100-1-1-1-100-1000
χ302222-1222-122-12-122-1-1-1-122-12-1222220000002-1-12222-1-1-1-1-1-1-1-10-200-20000110000-1-1-1-1-1-2-20-2001001111001000
χ312222-1222-122-12-122-1-1-1-1-2-2-12-12-2-2-2-2000000-2-1-122-2-2-1-1111111020020000-1-10000-1-11112-20-200-100-1-111001000
χ322222-1222-122-12-122-1-1-1-1-2-2-12-12-2-2-2-2000000-2-1-122-2-2-1-11111110-200-20000110000-1-1111-22020010011-1-100-1000
χ332222-1222-122-12-1-2-2-1-1-1-122-12-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1020020000-1-1000011111-2-20200-10011-1-1001000
χ342222-1222-122-12-1-2-2-1-1-1-122-12-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-10-200-2000011000011111220-200100-1-11100-1000
χ352222-1222-122-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000211-2-222-1-1111111020020000-1-1000011-1-1-1-220-200-100111100-1000
χ362222-1222-122-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000211-2-222-1-11111110-200-2000011000011-1-1-12-20200100-1-1-1-1001000
χ372-2-2222-222-2-2-22-22-22-22-20022-2-2000000000002-22-2002-2000000002i−2i0002i−2i002i2i−2i−2i2-200000002i−2i0000000000000
χ382-2-2222-222-2-2-22-22-22-22-20022-2-2000000000002-22-2002-200000000−2i2i000−2i2i00−2i−2i2i2i2-20000000−2i2i0000000000000
χ392-2-2222-222-2-2-22-2-222-22-20022-2-200000000000-22-22002-2000000002i−2i000−2i2i00−2i−2i2i2i-2200000002i−2i0000000000000
χ402-2-2222-222-2-2-22-2-222-22-20022-2-200000000000-22-22002-200000000−2i2i0002i−2i002i2i−2i−2i-220000000−2i2i0000000000000
χ412-2-222-1-22211-2-1-22-2-11-11002-1-2133−3−300−i3−i3i3i302-2-113−3-110033−3−3002i−2i0−i3i32i−2i00−i−iii-1103−30000−ii0−i3i30000000000
χ422-2-222-1-22211-2-1-22-2-11-11002-1-2133−3−300i3i3−i3−i302-2-113−3-110033−3−300−2i2i0i3−i3−2i2i00ii−i−i-1103−30000i−i0i3−i30000000000
χ432-2-222-1-22211-2-1-22-2-11-11002-1-21−3−33300−i3−i3i3i302-2-11−33-1100−3−33300−2i2i0−i3i3−2i2i00ii−i−i-110−330000i−i0−i3i30000000000
χ442-2-222-1-22211-2-1-22-2-11-11002-1-21−3−33300i3i3−i3−i302-2-11−33-1100−3−333002i−2i0i3−i32i−2i00−i−iii-110−330000−ii0i3−i30000000000
χ452-2-222-1-22211-2-1-2-22-11-11002-1-2133−3−300−i3−i3i3i30-221-1−33-110033−3−300−2i2i0−i3i32i−2i00−i−iii1-10−330000i−i0i3−i30000000000
χ462-2-222-1-22211-2-1-2-22-11-11002-1-2133−3−300i3i3−i3−i30-221-1−33-110033−3−3002i−2i0i3−i3−2i2i00ii−i−i1-10−330000−ii0−i3i30000000000
χ472-2-222-1-22211-2-1-2-22-11-11002-1-21−3−33300−i3−i3i3i30-221-13−3-1100−3−333002i−2i0−i3i3−2i2i00ii−i−i1-103−30000−ii0i3−i30000000000
χ482-2-222-1-22211-2-1-2-22-11-11002-1-21−3−33300i3i3−i3−i30-221-13−3-1100−3−33300−2i2i0i3−i32i−2i00−i−iii1-103−30000i−i0−i3i30000000000
χ4944444-2-4-44-2-24-2400-2-2-2-200-42-42000044-2-2-2-2000000022000000-400002200000000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-2-2-200-42-420000-4-4222200000002200000040000-2-200000000000000000000000000000000
χ514444-24-4-4-244-24-200-2-2-2-2002-42-400000000000000000220000000400-40000-2-20000000000000002000000000000
χ524444-24-4-4-244-24-200-2-2-2-2002-42-400000000000000000220000000-4004000022000000000000000-2000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-2111100000000000000011-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000112-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000-422222211-2-21111000000000000000-1-12-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-1-1-2110000000000000000000
χ5744-4-44400-44-4-4-44004-4-4400000000004i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ5844-4-44400-44-4-4-44004-4-440000000000−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ5944-4-44-200-4-22-42400-222-2000000i6−i6i6−i64i−4i−2i2i−2i2i00000000000i6−i6i6−i6000000000006−66−6000000000000000000000000
χ6044-4-44-200-4-22-42400-222-2000000i6−i6i6−i6−4i4i2i−2i2i−2i00000000000i6−i6i6−i600000000000−66−66000000000000000000000000
χ6144-4-44-200-4-22-42400-222-2000000−i6i6−i6i64i−4i−2i2i−2i2i00000000000−i6i6−i6i600000000000−66−66000000000000000000000000
χ6244-4-44-200-4-22-42400-222-2000000−i6i6−i6i6−4i4i2i−2i2i−2i00000000000−i6i6−i6i6000000000006−66−6000000000000000000000000
χ634-44-44400-4-444-4-40044-4-4−2i22i20000−2i22i22i2−2i2000000000000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ644-44-44400-4-444-4-40044-4-42i2−2i200002i2−2i2−2i22i20000000000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ654-44-44-200-42-242-400-2-222−2i22i20000i2−i2−i2i20023−23−2323000000000−2i22i2i2−i2−i2i200000000000i6−i6−i6i6000000000000000000000000
χ664-44-44-200-42-242-400-2-222−2i22i20000i2−i2−i2i200−232323−23000000000−2i22i2i2−i2−i2i200000000000−i6i6i6−i6000000000000000000000000
χ674-44-44-200-42-242-400-2-2222i2−2i20000−i2i2i2−i20023−23−23230000000002i2−2i2−i2i2i2−i200000000000−i6i6i6−i6000000000000000000000000
χ684-44-44-200-42-242-400-2-2222i2−2i20000−i2i2i2−i200−232323−230000000002i2−2i2−i2i2i2−i200000000000i6−i6−i6i6000000000000000000000000
χ694-44-4-24002-44-2-4200-2-222−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i200000000023−2300000000000000000000i6−i6000000
χ704-44-4-24002-44-2-4200-2-222−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i2000000000−232300000000000000000000−i6i6000000
χ714-44-4-24002-44-2-4200-2-2222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i200000000023−2300000000000000000000−i6i6000000
χ724-44-4-24002-44-2-4200-2-2222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i2000000000−232300000000000000000000i6−i6000000
χ734-4-44444-44-4-4-44-4004-44-400-4-44400000000000000000-44000000000000000000000000000000000000000000000
χ744-4-444-24-4422-4-2-400-22-2200-424-2000000−2i3−2i32i32i300000002-2000000000002i3−2i300000000000000000000000000000000
χ754-4-444-24-4422-4-2-400-22-2200-424-20000002i32i3−2i3−2i300000002-200000000000−2i32i300000000000000000000000000000000
χ764-4-44-244-4-2-4-424200-22-22002-4-24000000000000000002-20000000000000000000000000000000000023−2300000000
χ774-4-44-244-4-2-4-424200-22-22002-4-24000000000000000002-200000000000000000000000000000000000−232300000000
χ784-4-44-24-44-2-4-42424-4-22-2200-242-400000000000-224-400-22000000000000000000000-220000000000000000000000
χ794-4-44-24-44-2-4-4242-44-22-2200-242-4000000000002-2-4400-220000000000000000000002-20000000000000000000000
χ804-4-44-2-2-44-2222-224-41-11-100-2-2222323−23−230000000-22-2223−231-100−3−3330000000000000001-10−330000000000000000000
χ814-4-44-2-2-44-2222-224-41-11-100-2-222−23−2323230000000-22-22−23231-10033−3−30000000000000001-103−30000000000000000000
χ824-4-44-2-2-44-2222-22-441-11-100-2-2222323−23−2300000002-22-2−23231-100−3−333000000000000000-1103−30000000000000000000
χ834-4-44-2-2-44-2222-22-441-11-100-2-222−23−23232300000002-22-223−231-10033−3−3000000000000000-110−330000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-480048-84-8-400-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4444-4002-2-220000002i6−2i62i6−2i600000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ8788-8-8-4-4004-4444-4002-2-22000000−2i62i6−2i62i600000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ888-88-8-4-40044-4-4440022-2-2−4i24i200002i2−2i2−2i22i20000000000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000
χ898-88-8-4-40044-4-4440022-2-24i2−4i20000−2i22i22i2−2i2000000000000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000
χ908-8-88-4-48-8-4444-44002-22-20044-4-400000000000000000-22000000000000000000000000000000000000000000000

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