Finite Group Databasebeta

← Group #11884802

Character table — Group #11884802

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212122244812121212121224242424242424242444444666688121212121212448121212121212242424244488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1111-1-1-111-1-1-1-11111111-11111-1-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111-1-11-111-1-1-11-11111-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1111-11111-1-1111-111-1-1-1-1-1111-111-1-111-1-111-1-1-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-1-11-1-1111-1-11-1-1111-1-1-1-111-1-11-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-11-1-11111-11-1-1-1-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-11-1-1-1-1111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-11111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-1111111111111111111-1-1-1111-1-11111111111-11-1-1-1-1111-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111-1-11-111-1-1111-1-1-11-1-111-1-1-1-11111-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-11-11-1-1-1-111111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11-111111-1-111-1-1-11-1-111-1-11-11111111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-111-111-111-1-1-1111111-1-1-11-11
χ151111111111111111111111-1-1-1-11-1-1-1-111111111111-1111-1-1-1-11111-1-1-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-2000000002-200-200222200000000000-200-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-2-20020022-2-200000000000-2002000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000002200-200-2-22200000000000200-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000-2200200-2-2-2-20000000000020020000002-2000000
χ2122222-1222-12-12-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1-1-1200022200-1-122-12-1-1-1-1020000-1-1-100-1-100000-100
χ2222222-1222-12-12-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1-1-1-2000-2-2-20011-2-2-12-1-1-1-10-20000111001100000100
χ2322222-1222-12-12-1-1-1-1-12-12-1002-2-22211-1-1-2-211111120002-2-200-1-1-2-2-1-2-1-111020000-111001100000-100
χ2422222-1222-12-12-1-1-1-1-12-12-1002-2-22211-1-1-2-2111111-2000-222001122-1-2-1-1110-200001-1-100-1-100000100
χ2522222-1222-12-12-1-1-1-1-12-12-100-22-2-2-2-1-1-1-1-2-2111111200022200-1-1-2-21211-1-10-20000-1-1-1001100000100
χ2622222-1222-12-12-1-1-1-1-12-12-100-22-2-2-2-1-1-1-1-2-2111111-2000-2-2-20011221211-1-102000011100-1-100000-100
χ2722222-1222-12-12-1-1-1-1-12-12-100-2-22-2-211-1-122-1-1-1-1-1-120002-2-200-1-1221-211110-20000-11100-1-100000100
χ2822222-1222-12-12-1-1-1-1-12-12-100-2-22-2-211-1-122-1-1-1-1-1-1-2000-2220011-2-21-211110200001-1-1001100000-100
χ292222-1222-12-12-12-1-1-1-1-12-1222222-1-122-1-1-1-122-1-1-1-10222000-1-100002-1-1-1-1-1202-1-1-1000-1-1000000-1000
χ302222-1222-12-12-12-1-1-1-1-12-12222-2-2-1-1-2-2-1-111-2-211110222000-1-1000021-1-111-20-2-1-1-1000110000001000
χ312222-1222-12-12-12-1-1-1-1-12-1222-22-21122-1-111-2-2111102-2-2000-1-10000-2-111-1-120-2-11100011000000-1000
χ322222-1222-12-12-12-1-1-1-1-12-1222-2-2211-2-2-1-1-1-122-1-1-1-102-2-2000-1-10000-211111-202-111000-1-10000001000
χ332222-1222-12-12-12-1-1-1-1-12-12-2-2222-1-122-1-1-1-122-1-1-1-10-2-2-20001100002-1-1-1-1-1-20-2111000110000001000
χ342222-1222-12-12-12-1-1-1-1-12-12-2-22-2-2-1-1-2-2-1-111-2-211110-2-2-200011000021-1-111202111000-1-1000000-1000
χ352222-1222-12-12-12-1-1-1-1-12-12-2-2-22-21122-1-111-2-211110-222000110000-2-111-1-1-2021-1-1000-1-10000001000
χ362222-1222-12-12-12-1-1-1-1-12-12-2-2-2-2211-2-2-1-1-1-122-1-1-1-10-222000110000-21111120-21-1-100011000000-1000
χ372-2-2222-22-2-2-2-2222-2-22-2-2220000000002-200000000002-202-200000000000000002-202-20000002-20000
χ382-2-2222-22-2-2-2-2222-2-22-2-2220000000002-200000000002-20-2200000000000000002-20-22000000-220000
χ392-2-2222-22-2-2-2-2222-2-22-2-2220000000002-20000000000-2202-20000000000000000-2202-2000000-220000
χ402-2-2222-22-2-2-2-2222-2-22-2-2220000000002-20000000000-220-220000000000000000-220-220000002-20000
χ4144444-2-4-44-24-24-2-2-2-2-2-42-4200000000022000000004000-40000-2-200000000000000200000000000000
χ4244444-2-4-44-24-24-2-2-2-2-2-42-420000000002200000000-4000400002200000000000000-200000000000000
χ434444-24-4-4-24-24-24-2-2-2-22-42-444000000022000000000-400000-2-20000000000000200000000000000000
χ444444-24-4-4-24-24-24-2-2-2-22-42-4-4-4000000022000000000400000220000000000000-200000000000000000
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
χ4944-4-444004-4-44-4-444-4-400004-40000000000000000000000004-40000000000000000000000000000000
χ5044-4-444004-4-44-4-444-4-40000-44000000000000000000000000-440000000000000000000000000000000
χ5144-4-4-2400-2-4242-4-2-22200004-4000000000i6−i600i6i6−i6−i60000000-220000000000000000000i6−i60000000000
χ5244-4-4-2400-2-4242-4-2-22200004-4000000000−i6i600−i6−i6i6i60000000-220000000000000000000−i6i60000000000
χ5344-4-4-2400-2-4242-4-2-2220000-44000000000i6−i600i6i6−i6−i600000002-20000000000000000000−i6i60000000000
χ5444-4-4-2400-2-4242-4-2-2220000-44000000000−i6i600−i6−i6i6i600000002-20000000000000000000i6−i60000000000
χ554-44-44400-444-4-4-44-44-4000000000000000000000000000000000022−220000000000000000022−2200000000
χ564-44-44400-444-4-4-44-44-40000000000000000000000000000000000−222200000000000000000−222200000000
χ574-44-44-200-4-242-42-22-2200000000000000000i6−i6i6−i6i6−i6000000000−2i32i322−2200000000000000000−2200000000
χ584-44-44-200-4-242-42-22-2200000000000000000i6−i6i6−i6i6−i60000000002i3−2i3−2222000000000000000002−200000000
χ594-44-44-200-4-242-42-22-2200000000000000000−i6i6−i6i6−i6i6000000000−2i32i3−2222000000000000000002−200000000
χ604-44-44-200-4-242-42-22-2200000000000000000−i6i6−i6i6−i6i60000000002i3−2i322−2200000000000000000−2200000000
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
χ644-4-444-2-44-42-424-2-222-2-424-2000000000-2200000000000004-40000000000000000000-22000000000000
χ654-4-444-2-44-42-424-2-222-2-424-2000000000-220000000000000-4400000000000000000002-2000000000000
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
χ684-4-44-24-442-42-4-24-222-22-4-24000000000-2200000000004-40000000000000000000-22000000000000000
χ694-4-44-24-442-42-4-24-222-22-4-24000000000-220000000000-4400000000000000000002-2000000000000000
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
χ7588-8-88-40084-8-4-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-444-44422-2-20000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-444-44422-2-2000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-480048-4-84-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-44442-22-2000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44442-22-200000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-2244-4-40000000002-2000000000000000000000000000000000000000000000000

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