Finite Group Databasebeta

← Group #11889768

Character table — Group #11889768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212222466812121212242424242424242422244446666886661212124466812121212242424244488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-1-1-111-1-11111111-1111-11-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-1-1-1111-111-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111-11-111-1-11111111-1-1-1-1-111-1-1111-1-111-1-111-1-1-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-111111-1-1-1-11-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-1-1-11-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-11111111111-1-1-11-111-1-111-1-1-1-1-1-1-1-1-11-1-11-111111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-111111111111111111-1-11-111111-1-111111111-11-1-1-11-111-1-111-1-1-1-1-11-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1111-1-1-111-1-111-1-1-111-1-1-1-11111-11
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-11-1-1-11-1-111111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-111111-1-1-1-1-1-1-1111-1-11111-11111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1111-11111-1-1-1-1111111-1-1-11-11
χ151111111111111111111111-1-1-1-1-1-11-1-11111111111111-11-1-111-1-111-1-1-1-1-1-11-111-11-1-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000002-2-20022220000000000000-2-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-2-2200-2-22200000000000002-2000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000000022-20022-2-20000000000000-22000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-22200-2-2-2-20000000000000220000002-2000000
χ2122222-1222-1-12-12-1-1-1-12-12-12222-1-1222-1-122-1-1-1-1-1-1220200000-1-1002-1-1-1-1-120-1-120-100-1-1000000-1000
χ2222222-1222-1-12-12-1-1-1-12-12-1222-2-1-1-2-2-2-1-1-2-2111111220200000-1-1002-1-1111-20-1-1-20-100110000001000
χ2322222-1222-1-12-12-1-1-1-12-12-122-2211-222-1-1-2-2111111-2-20200000-1-100-211-1-1-12011-20-10011000000-1000
χ2422222-1222-1-12-12-1-1-1-12-12-122-2-2112-2-2-1-122-1-1-1-1-1-1-2-20200000-1-100-211111-201120-100-1-10000001000
χ2522222-1222-1-12-12-1-1-1-12-12-1-2-222-1-1222-1-122-1-1-1-1-1-1-2-20-20000011002-1-1-1-1-1-2011-20100110000001000
χ2622222-1222-1-12-12-1-1-1-12-12-1-2-22-2-1-1-2-2-2-1-1-2-2111111-2-20-20000011002-1-1111201120100-1-1000000-1000
χ2722222-1222-1-12-12-1-1-1-12-12-1-2-2-2211-222-1-1-2-2111111220-2000001100-211-1-1-1-20-1-120100-1-10000001000
χ2822222-1222-1-12-12-1-1-1-12-12-1-2-2-2-2112-2-2-1-122-1-1-1-1-1-1220-2000001100-21111120-1-1-2010011000000-1000
χ292222-1222-122-12-1-1-1-1-1-12-120022222-1-1-1-1-1-122-1-1-1-10020222-1-10022-1-1-12-1-102000-10-1-100-1-100000-100
χ302222-1222-122-12-1-1-1-1-1-12-120022222-1-1-1-1-1-122-1-1-1-100-20-2-2-21100-2-2-1-1-12-1-10-20001011001100000100
χ312222-1222-122-12-1-1-1-1-1-12-12002-222-211-1-111-2-2111100202-2-2-1-100-2-2-1-1-1-21102000-1011001100000-100
χ322222-1222-122-12-1-1-1-1-1-12-12002-222-211-1-111-2-2111100-20-222110022-1-1-1-2110-200010-1-100-1-100000100
χ332222-1222-122-12-1-1-1-1-1-12-1200-22-2-2-2-1-1-1-111-2-211110020222-1-100-2-21112-1-10-2000-10-1-1001100000100
χ342222-1222-122-12-1-1-1-1-1-12-1200-22-2-2-2-1-1-1-111-2-2111100-20-2-2-21100221112-1-102000101100-1-100000-100
χ352222-1222-122-12-1-1-1-1-1-12-1200-2-2-2-2211-1-1-1-122-1-1-1-100202-2-2-1-10022111-2110-2000-101100-1-100000100
χ362222-1222-122-12-1-1-1-1-1-12-1200-2-2-2-2211-1-1-1-122-1-1-1-100-20-2221100-2-2111-2110200010-1-1001100000-100
χ372-22-2222-2-2-2-222-22-22-222-2-2000000000-22000000002-20002i−2i000000000000002-20002i−2i0000002i−2i0000
χ382-22-2222-2-2-2-222-22-22-222-2-2000000000-22000000002-2000−2i2i000000000000002-2000−2i2i000000−2i2i0000
χ392-22-2222-2-2-2-222-22-22-222-2-2000000000-2200000000-220002i−2i00000000000000-220002i−2i000000−2i2i0000
χ402-22-2222-2-2-2-222-22-22-222-2-2000000000-2200000000-22000−2i2i00000000000000-22000−2i2i0000002i−2i0000
χ4144444-2-4-44-2-24-24-2-2-2-2-42-424400000002200000000000-400000-2-200000000000000200000000000000
χ4244444-2-4-44-2-24-24-2-2-2-2-42-42-4-4000000022000000000004000002200000000000000-200000000000000
χ434444-24-4-4-244-24-2-2-2-2-22-42-400000000022000000000040-400-2-20000000000000002000000000000000
χ444444-24-4-4-244-24-2-2-2-2-22-42-4000000000220000000000-4040022000000000000000-2000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-24-2-211-2-2-2-211110000000000000-211-211000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-422112222-1-1-1-10000000000000-2112-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4-2-2112222-1-1-1-100000000000002-1-1-211000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-42242211-2-2-2-2111100000000000002-1-12-1-1000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400004-4000000000000000000000000004-400000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000-4400000000000000000000000000-4400000000000000000000000000000
χ5144-4-44-2004-22-42-4-2-22200004-4000000000006−666−6−6000000000-22000000000000000006−60000000000
χ5244-4-44-2004-22-42-4-2-22200004-400000000000−66−6−666000000000-2200000000000000000−660000000000
χ5344-4-44-2004-22-42-4-2-2220000-44000000000006−666−6−60000000002-200000000000000000−660000000000
χ5444-4-44-2004-22-42-4-2-2220000-4400000000000−66−6−6660000000002-2000000000000000006−60000000000
χ554-44-444-44-4-4-444-44-44-4-4-4440000000004-4000000000000000000000000000000000000000000000000
χ564-44-44-24-4-4224-2-4-22-224-2-420000000002-2000000004-40000000000000000000-2200000000000000000
χ574-44-44-24-4-4224-2-4-22-224-2-420000000002-200000000-4400000000000000000002-200000000000000000
χ584-44-44-2-44-4224-2-4-22-22-424-20000−2i32i3000-220000000000000000000000−2i32i3000000000000000000000000
χ594-44-44-2-44-4224-2-4-22-22-424-200002i3−2i3000-2200000000000000000000002i3−2i3000000000000000000000000
χ604-44-4-244-42-4-4-242-22-22-242-40000000002-200000000000004i−4i0000000000000000000−2i2i000000000000
χ614-44-4-244-42-4-4-242-22-22-242-40000000002-20000000000000−4i4i00000000000000000002i−2i000000000000
χ624-44-4-24-442-4-4-242-22-222-4-24000000023−23-22000000000000000000000000023−23000000000000000000000
χ634-44-4-24-442-4-4-242-22-222-4-240000000−2323-220000000000000000000000000−2323000000000000000000000
χ644-44-4-2-2-44222-2-221-11-122-2-20000−2i32i3023−231-100003i−3i3i−3i00000000000000i3−i30−33000000000000000000000
χ654-44-4-2-2-44222-2-221-11-122-2-20000−2i32i30−23231-10000−3i3i−3i3i00000000000000i3−i303−3000000000000000000000
χ664-44-4-2-2-44222-2-221-11-122-2-200002i3−2i3023−231-10000−3i3i−3i3i00000000000000−i3i30−33000000000000000000000
χ674-44-4-2-2-44222-2-221-11-122-2-200002i3−2i30−23231-100003i−3i3i−3i00000000000000−i3i303−3000000000000000000000
χ684-4-444400-4-44-4-444-4-44000000000000000000000000000000000022−220000000000000000022−2200000000
χ694-4-444400-4-44-4-444-4-440000000000000000000000000000000000−222200000000000000000−222200000000
χ704-4-44-24002-442-4-2-222-2000000000000000i6−i600i6−i6−i6i60000000−2i32i30022−2200000000000000000−2200000000
χ714-4-44-24002-442-4-2-222-2000000000000000i6−i600i6−i6−i6i600000002i3−2i300−2222000000000000000002−200000000
χ724-4-44-24002-442-4-2-222-2000000000000000−i6i600−i6i6i6−i60000000−2i32i300−2222000000000000000002−200000000
χ734-4-44-24002-442-4-2-222-2000000000000000−i6i600−i6i6i6−i600000002i3−2i30022−2200000000000000000−2200000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4800-48-84-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444422-2-20000000000000000026−26−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-200000000000000000−262666−6−60000000000000000000000000000000000000000
χ788-88-8-4-48-8444-4-442-22-2-4-444000000000-22000000000000000000000000000000000000000000000000
χ798-8-888-400-84-4-848-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-42-2-220000000000000002i6−2i600−i6i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-40044-444-42-2-22000000000000000−2i62i600i6−i6−i6i60000000000000000000000000000000000000000

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