Finite Group Databasebeta

← Group #11884337

Character table — Group #11884337

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order1222334466666636661212121244448121212121212242424242424242422222248812121212121212121212446666668242424244488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-1111-1-1-1111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111-1-11-111-1-1-1-111111-1-1-1-111-1-111-1-1-11
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-111111-111-1-1-11111-1-11-1-1-1-1-111-1-1-111-1
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1-11111-11-1-1111-11-1-1111-1-1-1-1-111-1-11-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-1-111111-1-1-1-1-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-11-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-11-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111-1-1-1111111-1-111111111-11-1-1-1111-1-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-111-1-11-1-1-1-111-11111111-1-11-11-1
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-1-11111-1-1-1-11111-11
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-111-1-1-111111111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111-11-111-1-1-11111111-1-1-11-11
χ151111111111111111111111-1-1-1-11-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-111-1-11111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-111-1-1-1-11-111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-200002-20022-2-200000000-200002000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-20000-2200222200000000-20000-200000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200002-200-2-2-2-20000000020000200000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000020000-2200-2-2220000000020000-2000002-2000000
χ2122222-1222-12-12-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1-1-100022222200-1-1-12-1-1-1-102000-1-1-1000-1-100000-100
χ2222222-1222-12-12-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1-1-1000-2-2-2-2-2-20011-12-1-1-1-10-20001110001100000100
χ2322222-1222-12-12-1-1-1-1-12-12-1002-2-22211-1-1-2-211111100022-2-2220011-1-2-1-1110-2000-1-11000-1-100000100
χ2422222-1222-12-12-1-1-1-1-12-12-1002-2-22211-1-1-2-2111111000-2-222-2-200-1-1-1-2-1-1110200011-10001100000-100
χ2522222-1222-12-12-1-1-1-1-12-12-100-22-2-2-2-1-1-1-1-2-21111110002222-2-200-1-11211-1-10-2000-1-1-10001100000100
χ2622222-1222-12-12-1-1-1-1-12-12-100-22-2-2-2-1-1-1-1-2-2111111000-2-2-2-22200111211-1-102000111000-1-100000-100
χ2722222-1222-12-12-1-1-1-1-12-12-100-2-22-2-211-1-122-1-1-1-1-1-100022-2-2-2-200111-2111102000-1-110001100000-100
χ2822222-1222-12-12-1-1-1-1-12-12-100-2-22-2-211-1-122-1-1-1-1-1-1000-2-2222200-1-11-211110-200011-1000-1-100000100
χ292222-1222-12-12-12-1-1-1-1-12-1222222-1-122-1-1-1-122-1-1-1-1222000000-1-1002-1-1-1-1-120-1-1-10002-1-1000000-1000
χ302222-1222-12-12-12-1-1-1-1-12-12222-2-2-1-1-2-2-1-111-2-21111222000000-1-10021-1-111-20-1-1-1000-2110000001000
χ312222-1222-12-12-12-1-1-1-1-12-1222-22-21122-1-111-2-211112-2-2000000-1-100-2-111-1-120-111000-211000000-1000
χ322222-1222-12-12-12-1-1-1-1-12-1222-2-2211-2-2-1-1-1-122-1-1-1-12-2-2000000-1-100-211111-20-1110002-1-10000001000
χ332222-1222-12-12-12-1-1-1-1-12-12-2-2222-1-122-1-1-1-122-1-1-1-1-2-2-200000011002-1-1-1-1-1-20111000-2110000001000
χ342222-1222-12-12-12-1-1-1-1-12-12-2-22-2-2-1-1-2-2-1-111-2-21111-2-2-2000000110021-1-111201110002-1-1000000-1000
χ352222-1222-12-12-12-1-1-1-1-12-12-2-2-22-21122-1-111-2-21111-2220000001100-2-111-1-1-201-1-10002-1-10000001000
χ362222-1222-12-12-12-1-1-1-1-12-12-2-2-2-2211-2-2-1-1-1-122-1-1-1-1-2220000001100-211111201-1-1000-211000000-1000
χ372-2-2222-22-2-2-2-2222-2-22-2-2220000000002-20000000002-22-2000000000000000002-22-2000000002-20000
χ382-2-2222-22-2-2-2-2222-2-22-2-2220000000002-20000000002-2-22000000000000000002-2-2200000000-220000
χ392-2-2222-22-2-2-2-2222-2-22-2-2220000000002-2000000000-222-200000000000000000-222-200000000-220000
χ402-2-2222-22-2-2-2-2222-2-22-2-2220000000002-2000000000-22-2200000000000000000-22-22000000002-20000
χ4144444-2-4-44-24-24-2-2-2-2-2-42-420000000002200000000000004-40000220000000000000-20000000000000
χ4244444-2-4-44-24-24-2-2-2-2-2-42-42000000000220000000000000-440000-2-2000000000000020000000000000
χ434444-24-4-4-24-24-24-2-2-2-22-42-44400000002200000000-400000000-2-200000000002000000000000000000
χ444444-24-4-4-24-24-24-2-2-2-22-42-4-4-400000002200000000400000000220000000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-10000000000000-2211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-100000000000002-2-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-444004-4-44-4-444-4-4000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ5044-4-444004-4-44-4-444-4-40000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ5144-4-44-20042-4-2-42-2-22200000000000000000i6−i6i6i6−i6−i60000000−2i22i20023−2300000000000000000i2−i200000000
χ5244-4-44-20042-4-2-42-2-22200000000000000000i6−i6i6i6−i6−i600000002i2−2i200−232300000000000000000−i2i200000000
χ5344-4-44-20042-4-2-42-2-22200000000000000000−i6i6−i6−i6i6i60000000−2i22i200−232300000000000000000i2−i200000000
χ5444-4-44-20042-4-2-42-2-22200000000000000000−i6i6−i6−i6i6i600000002i2−2i20023−2300000000000000000−i2i200000000
χ554-44-44400-444-4-4-44-44-400004i−4i000000000000000000000000004i−4i00000000000000000000000000000
χ564-44-44400-444-4-4-44-44-40000−4i4i00000000000000000000000000−4i4i00000000000000000000000000000
χ574-44-4-240024-2-42-4-22-2200004i−4i000000000i6−i600i6−i6i6−i6000000000−2i2i000000000000000006−60000000000
χ584-44-4-240024-2-42-4-22-2200004i−4i000000000−i6i600−i6i6−i6i6000000000−2i2i00000000000000000−660000000000
χ594-44-4-240024-2-42-4-22-220000−4i4i000000000i6−i600i6−i6i6−i60000000002i−2i00000000000000000−660000000000
χ604-44-4-240024-2-42-4-22-220000−4i4i000000000−i6i600−i6i6−i6i60000000002i−2i000000000000000006−60000000000
χ614-4-44444-4-4-4-4-4444-4-4444-4-4000000000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-4-42-424-2-222-24-2-420000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ634-4-444-24-4-42-424-2-222-24-2-4200000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ644-4-444-2-44-42-424-2-222-2-424-2000000000-22000000000004-40000000000000000000-2200000000000000
χ654-4-444-2-44-42-424-2-222-2-424-2000000000-2200000000000-4400000000000000000002-200000000000000
χ664-4-44-244-42-42-4-24-222-2-242-400000−2i32i3002-200000000000000000000000−2i32i300000000000000000000000
χ674-4-44-244-42-42-4-24-222-2-242-4000002i3−2i3002-2000000000000000000000002i3−2i300000000000000000000000
χ684-4-44-24-442-42-4-24-222-22-4-24000000000-220000000004-40000000000000000000-220000000000000000
χ694-4-44-24-442-42-4-24-222-22-4-24000000000-22000000000-4400000000000000000002-20000000000000000
χ704-4-44-2-24-42222-2-21-1-11-2-22200000−2i32i3−2i32i3-1100003-3-33000000000000000i3−i3i3−i3000000000000000000000
χ714-4-44-2-24-42222-2-21-1-11-2-22200000−2i32i32i3−2i3-110000-333-3000000000000000i3−i3−i3i3000000000000000000000
χ724-4-44-2-24-42222-2-21-1-11-2-222000002i3−2i3−2i32i3-110000-333-3000000000000000−i3i3i3−i3000000000000000000000
χ734-4-44-2-24-42222-2-21-1-11-2-222000002i3−2i32i3−2i3-1100003-3-33000000000000000−i3i3−i3i3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4800-4-8484-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-444-44422-2-2000000000000000002i6−2i6−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-444-44422-2-200000000000000000−2i62i6i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-88-400-8-484-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-44442-22-20000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44442-22-2000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-2244-4-40000000002-2000000000000000000000000000000000000000000000000

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