Finite Group Databasebeta

← Group #11888616

Character table — Group #11888616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666622366612121212442666666812122424242424242424244448812121212121266666444681212121212122424242424881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-111-1-1-1-111-111-1-111-1-111-1-111-11-1
χ411111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-11-1-111-1-1111111-111-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-1111111111111111111-11111111111-1-111111-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-111-1-111-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-1-1-1111-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-111-1-11-1-111-1-111-1-1-1-11111-1
χ911111111111111-1-111111111111-1-111-1-1-111-1-1-1-1-1-1-1-111111-1-11111111-1-1111-1-11-111-1-1-1-1-1-1-1-111-1-111-1
χ1011111111111111-1-111111111111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-11-1-1-111-1-1-1-111-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ1311111111111111-1-111111111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11-1111-1-11111-1-1-1-111-1-11
χ1411111111111111-1-111111111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-111-11-1-11111111111-1-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-111111111111-1-1-111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-1-1-1111
χ17222222-2-2222222002222-2-2-2-22200000000-2-200000000-2002-20022-2-22200000000-2000000000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-200-2200-2-2222200000000-200000000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002002-20022-2-2-2-200000000200000000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000200-2200-2-222-2-2000000002000000000002-200000
χ2122222-122-12-122-122-1-1-1-12-12-12222222-1-12-1-122-1-1-1-1-1-120000000000-1-1-1-1-1-1-1202-120000-1-1-1-1000000-100
χ2222222-122-12-122-122-1-1-1-12-12-122-222-2-2-1-1-2-1-1-2-211111120000000000-1-11-1-111-202-1-20000-1-111000000100
χ2322222-122-12-122-122-1-1-1-12-12-1-2-222222-1-12-1-122-1-1-1-1-1-1-2000000000011-1-1-1-1-1-20-21-200001111000000100
χ2422222-122-12-122-122-1-1-1-12-12-1-2-2-222-2-2-1-1-2-1-1-2-2111111-20000000000111-1-11120-212000011-1-1000000-100
χ2522222-122-12-122-1-2-2-1-1-1-12-12-1222-2-22211-2-1-1-2-211111120000000000-1-1-111-1-120-2-1-200001111000000-100
χ2622222-122-12-122-1-2-2-1-1-1-12-12-122-2-2-2-2-2112-1-122-1-1-1-1-1-120000000000-1-111111-20-2-12000011-1-1000000100
χ2722222-122-12-122-1-2-2-1-1-1-12-12-1-2-22-2-22211-2-1-1-2-2111111-2000000000011-111-1-1-202120000-1-1-1-1000000100
χ2822222-122-12-122-1-2-2-1-1-1-12-12-1-2-2-2-2-2-2-2112-1-122-1-1-1-1-1-1-2000000000011111112021-20000-1-111000000-100
χ292222-12222-12-1-1222-1-1-1-1-12-12002-1-1-1-1222-1-1-1-122-1-1-1-10222222-1-1-1-1002-1-1-1-102000-1-1-1-10000-1-10000000
χ302222-12222-12-1-1222-1-1-1-1-12-12002-1-1-1-1222-1-1-1-122-1-1-1-10-2-2-2-2-2-21111002-1-1-1-10-200011110000110000000
χ312222-12222-12-1-1222-1-1-1-1-12-1200-2-1-11122-2-1-111-2-21111022-2-222111100-2-1-1110-2000-1-1110000-1-10000000
χ322222-12222-12-1-1222-1-1-1-1-12-1200-2-1-11122-2-1-111-2-211110-2-222-2-2-1-1-1-100-2-1-1110200011-1-10000110000000
χ332222-12222-12-1-12-2-2-1-1-1-1-12-1200211-1-1-2-2-2-1-111-2-2111102222-2-2-1-1-1-100211-1-10-2000-1-1110000110000000
χ342222-12222-12-1-12-2-2-1-1-1-1-12-1200211-1-1-2-2-2-1-111-2-211110-2-2-2-222111100211-1-10200011-1-10000-1-10000000
χ352222-12222-12-1-12-2-2-1-1-1-1-12-1200-21111-2-22-1-1-1-122-1-1-1-1022-2-2-2-2111100-2111102000-1-1-1-10000110000000
χ362222-12222-12-1-12-2-2-1-1-1-1-12-1200-21111-2-22-1-1-1-122-1-1-1-10-2-22222-1-1-1-100-211110-200011110000-1-10000000
χ372-2-22222-2-22-2-2-222-22-2-2222-2-20002-2002-20-220000000002i−2i002i−2i00000002-200000002i−2i0000002i−2i0000000
χ382-2-22222-2-22-2-2-222-22-2-2222-2-20002-2002-20-22000000000−2i2i00−2i2i00000002-20000000−2i2i000000−2i2i0000000
χ392-2-22222-2-22-2-2-22-222-2-2222-2-2000-2200-220-220000000002i−2i00−2i2i0000000-2200000002i−2i000000−2i2i0000000
χ402-2-22222-2-22-2-2-22-222-2-2222-2-2000-2200-220-22000000000−2i2i002i−2i0000000-220000000−2i2i0000002i−2i0000000
χ412-2-22-122-2-2-1-21122-2-111-1-121-2000-11−i3i32-201-1−i3i300−i3−i3i3i302i−2i002i−2i3−33−3000-11−i3i300000−ii3−30000−ii0000000
χ422-2-22-122-2-2-1-21122-2-111-1-121-2000-11−i3i32-201-1−i3i300−i3−i3i3i30−2i2i00−2i2i−33−33000-11−i3i300000i−i−330000i−i0000000
χ432-2-22-122-2-2-1-21122-2-111-1-121-2000-11i3−i32-201-1i3−i300i3i3−i3−i302i−2i002i−2i−33−33000-11i3−i300000−ii−330000−ii0000000
χ442-2-22-122-2-2-1-21122-2-111-1-121-2000-11i3−i32-201-1i3−i300i3i3−i3−i30−2i2i00−2i2i3−33−3000-11i3−i300000i−i3−30000i−i0000000
χ452-2-22-122-2-2-1-2112-22-111-1-121-20001-1−i3i3-2201-1i3−i300i3i3−i3−i302i−2i00−2i2i3−33−30001-1−i3i300000−ii−330000i−i0000000
χ462-2-22-122-2-2-1-2112-22-111-1-121-20001-1−i3i3-2201-1i3−i300i3i3−i3−i30−2i2i002i−2i−33−330001-1−i3i300000i−i3−30000−ii0000000
χ472-2-22-122-2-2-1-2112-22-111-1-121-20001-1i3−i3-2201-1−i3i300−i3−i3i3i302i−2i00−2i2i−33−330001-1i3−i300000−ii3−30000i−i0000000
χ482-2-22-122-2-2-1-2112-22-111-1-121-20001-1i3−i3-2201-1−i3i300−i3−i3i3i30−2i2i002i−2i3−33−30001-1i3−i300000i−i−330000−ii0000000
χ4944444-2-4-4-24-244-200-2-2-2-2-42-4244000000002200000000-40000000000-2-2000000002000000000000000000
χ5044444-2-4-4-24-244-200-2-2-2-2-42-42-4-4000000002200000000400000000002200000000-2000000000000000000
χ514444-24-4-44-24-2-2400-2-2-2-22-42-4000000000022000000000004-400-2-22200000000000000000000000000000
χ524444-24-4-44-24-2-2400-2-2-2-22-42-400000000002200000000000-440022-2-200000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-2-2-2411-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-222-2-2-4112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200422-2-222-4112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-4222222411-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-44400-4-444-4-40044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-44400-4-444-4-40044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-444004-4-4-44-4004-44-400004i−4i000000000000000000000000000004i−4i000000000000000000000000000
χ604-44-444004-4-4-44-4004-44-40000−4i4i00000000000000000000000000000−4i4i000000000000000000000000000
χ614-44-44-200-2-42-44200-22-2200004i−4i000000000000i6−i6i6−i6i6−i600000000000−2i2i00000000000000006−6000000000
χ624-44-44-200-2-42-44200-22-2200004i−4i000000000000−i6i6−i6i6−i6i600000000000−2i2i0000000000000000−66000000000
χ634-44-44-200-2-42-44200-22-220000−4i4i000000000000i6−i6i6−i6i6−i6000000000002i−2i0000000000000000−66000000000
χ644-44-44-200-2-42-44200-22-220000−4i4i000000000000−i6i6−i6i6−i6i6000000000002i−2i00000000000000006−6000000000
χ654-4-4444-44-44-4-4-44004-4-44-4-44400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4242-4-4-24-4-222-24-2-420004-400-2202-20000000000000000000000-22000000000000000000000000
χ674-4-444-24-4242-4-4-2-44-222-24-2-42000-44002-202-200000000000000000000002-2000000000000000000000000
χ684-4-444-2-44242-4-4-200-222-2-424-20000000000-2200000000000000000000000000000000000−2i32i300000000000
χ694-4-444-2-44242-4-4-200-222-2-424-20000000000-22000000000000000000000000000000000002i3−2i300000000000
χ704-4-44-24-44-4-2-422400-222-22-4-240000000000-2200000000000000023−23−232300000000000000000000000000000
χ714-4-44-24-44-4-2-422400-222-22-4-240000000000-22000000000000000−232323−2300000000000000000000000000000
χ724-4-44-2-24-42-2222-24-41-1-11-2-222000-22−2i32i3-220-11−2i32i300i3i3−i3−i3000000000000001-1i3−i30000000000000000000000
χ734-4-44-2-24-42-2222-24-41-1-11-2-222000-222i3−2i3-220-112i3−2i300−i3−i3i3i3000000000000001-1−i3i30000000000000000000000
χ744-4-44-2-24-42-2222-2-441-1-11-2-2220002-2−2i32i32-20-112i3−2i300−i3−i3i3i300000000000000-11i3−i30000000000000000000000
χ754-4-44-2-24-42-2222-2-441-1-11-2-2220002-22i3−2i32-20-11−2i32i300i3i3−i3−i300000000000000-11−i3i30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-4004-8-48-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-848-44-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-4-4440022-2-20000000000000000000032−32−32320000000000000000000000000000000000000000
χ8088-8-8-4-40044-4-4440022-2-200000000000000000000−323232−320000000000000000000000000000000000000000
χ818-88-8-480084-84-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-44002-22-20000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-400-4444-44002-22-2000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4-884-4444-4002-2-2244-4-400000000002-2000000000000000000000000000000000000000000000000

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