Finite Group Databasebeta

← Group #11884146

Character table — Group #11884146

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212122244812121212121224242424242424242244444668812121212121212124466812121212242424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-111-1-1111-111-1-11-111-111-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-111-1-111-1-1-1-11-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-1-11-1-111-1-111-1-1111-1-111-1-111-1-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111-11-1-111-11-1-1-11111-1-1-1-111-1-11-1-11
χ7111111111111111111111111-1-11-1-1-1-1111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-11-111
χ8111111111111111111111111-1-11-1-1-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ91111111111111111111111-1-1111111111111111111111-1-1-1-1-11111111111-1111-11-1-1-1-1-111-1-1-1-11-1-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1111-111-1-1-1-11111-11111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-1-1-11-1-11-1-111111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-11-1-1111-1111-1-1-1-1111111-1-1-11-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-11111-1-111-1-1-111-1-1-1-111111-1
χ151111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-111-111-1-11111-1-1-1-1-1-11-1-1-1-11-111-1-111-1-1-1-1-1111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000002-2-2002200-2-2000000000002-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-22-20022002200000000000-2-2000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000002-2200-2-200-2-20000000000022000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-22200-2-2002200000000000-220000002-2000000
χ2122222-12222-1-1-12-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-122220000022-1-12-1-1-1-1-102-1-10-100000-1-10000-1000
χ2222222-12222-1-1-12-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1-2-2-2-200000-2-2112-1-1-1-1-10-21101000001100001000
χ2322222-12222-1-1-12-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111222200000-2-2-1-121-1-1110-2-1-10-1000001100001000
χ2422222-12222-1-1-12-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111-2-2-2-200000221121-1-11102110100000-1-10000-1000
χ2522222-12222-1-1-12-1-1-1-1-122-100-22-21122-1-1-2-211111122-2-2000002211-2-111-1-10-2-1-10100000-1-100001000
χ2622222-12222-1-1-12-1-1-1-1-122-100-22-21122-1-1-2-2111111-2-22200000-2-2-1-1-2-111-1-102110-100000110000-1000
χ2722222-12222-1-1-12-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-122-2-200000-2-211-21111102-1-10100000110000-1000
χ2822222-12222-1-1-12-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-1-2-2220000022-1-1-2111110-2110-100000-1-100001000
χ292222-1222-1-1222-1-1-1-1-12-1-122222222-1-1-1-1-1-122-1-1-1-10000222-1-10000-12-1-1-1-1200020-1-1-1-1-10000000-100
χ302222-1222-1-1222-1-1-1-1-12-1-12222-2-22211-1-111-2-2111100002-2-2-1-10000-1-2-1-1112000-20-111110000000-100
χ312222-1222-1-1222-1-1-1-1-12-1-1222-22-2-2-2-1-1-1-111-2-211110000222-1-100001211-1-1-2000-20-1-1-1110000000100
χ322222-1222-1-1222-1-1-1-1-12-1-1222-2-22-2-211-1-1-1-122-1-1-1-100002-2-2-1-100001-21111-200020-111-1-10000000100
χ332222-1222-1-1222-1-1-1-1-12-1-12-2-222222-1-1-1-1-1-122-1-1-1-10000-2-2-2110000-12-1-1-1-1-2000-20111110000000100
χ342222-1222-1-1222-1-1-1-1-12-1-12-2-22-2-22211-1-111-2-211110000-222110000-1-2-1-111-2000201-1-1-1-10000000100
χ352222-1222-1-1222-1-1-1-1-12-1-12-2-2-22-2-2-2-1-1-1-111-2-211110000-2-2-21100001211-1-1200020111-1-10000000-100
χ362222-1222-1-1222-1-1-1-1-12-1-12-2-2-2-22-2-211-1-1-1-122-1-1-1-10000-2221100001-211112000-201-1-1110000000-100
χ372-2-2222-22-2-2-2-2222-2-22-22-22000000000-22000000002-20002-2000000000000002-20002-20000002-20000
χ382-2-2222-22-2-2-2-2222-2-22-22-22000000000-22000000002-2000-22000000000000002-2000-22000000-220000
χ392-2-2222-22-2-2-2-2222-2-22-22-22000000000-2200000000-220002-200000000000000-220002-2000000-220000
χ402-2-2222-22-2-2-2-2222-2-22-22-22000000000-2200000000-22000-2200000000000000-22000-220000002-20000
χ4144444-2-4-444-2-2-24-2-2-2-22-4-420000000002200000000004-400000002200000000000-2000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-22-4-42000000000220000000000-440000000-2-2000000000002000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-2-422-444000000022000000000000-400-2-20000000000000000200000000000000
χ444444-24-4-4-2-2444-2-2-2-2-2-422-4-4-4000000022000000000000400220000000000000000-200000000000000
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
χ4944-4-444004-44-4-4-444-4-400004-40000000000000000000000004-40000000000000000000000000000000
χ5044-4-444004-44-4-4-444-4-40000-44000000000000000000000000-440000000000000000000000000000000
χ5144-4-4-2400-224-4-42-2-22200004-4000000000i6−i600i6i6−i6−i60000000-220000000000000000000i6−i60000000000
χ5244-4-4-2400-224-4-42-2-22200004-4000000000−i6i600−i6−i6i6i60000000-220000000000000000000−i6i60000000000
χ5344-4-4-2400-224-4-42-2-2220000-44000000000i6−i600i6i6−i6−i600000002-20000000000000000000−i6i60000000000
χ5444-4-4-2400-224-4-42-2-2220000-44000000000−i6i600−i6−i6i6i600000002-20000000000000000000i6−i60000000000
χ554-44-44400-44-44-4-44-44-400000000000000000000000000000000−2i22i20000000000000000000−2i22i200000000
χ564-44-44400-44-44-4-44-44-4000000000000000000000000000000002i2−2i200000000000000000002i2−2i200000000
χ574-44-44-200-442-22-4-22-22000000000000000006−66−66−6000000000−2i22i2−2i32i300000000000000000i2−i200000000
χ584-44-44-200-442-22-4-22-22000000000000000006−66−66−60000000002i2−2i22i3−2i300000000000000000−i2i200000000
χ594-44-44-200-442-22-4-22-2200000000000000000−66−66−66000000000−2i22i22i3−2i300000000000000000i2−i200000000
χ604-44-44-200-442-22-4-22-2200000000000000000−66−66−660000000002i2−2i2−2i32i300000000000000000−i2i200000000
χ614-4-44444-4-4-4-4-4444-4-444-44-40000000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-4-4-422-24-222-2-2-4420000023−2300-220000000000000000000000023−2300000000000000000000000
χ634-4-444-24-4-4-422-24-222-2-2-44200000−232300-2200000000000000000000000−232300000000000000000000000
χ644-4-444-2-44-4-422-24-222-224-4-20000000002-2000000004-40000000000000000000-2200000000000000000
χ654-4-444-2-44-4-422-24-222-224-4-20000000002-200000000-4400000000000000000002-200000000000000000
χ664-4-44-244-422-4-44-2-222-242-2-40000000−2i32i3-220000000000000000000000000−2i32i3000000000000000000000
χ674-4-44-244-422-4-44-2-222-242-2-400000002i3−2i3-2200000000000000000000000002i3−2i3000000000000000000000
χ684-4-44-24-4422-4-44-2-222-2-4-2240000000002-200000000000004-40000000000000000000-22000000000000
χ694-4-44-24-4422-4-44-2-222-2-4-2240000000002-20000000000000-4400000000000000000002-2000000000000
χ704-4-44-2-24-42222-2-21-1-11-22-220000023−23−2i32i31-100003i−3i−3i3i000000000000000−33i3−i3000000000000000000000
χ714-4-44-2-24-42222-2-21-1-11-22-220000023−232i3−2i31-10000−3i3i3i−3i000000000000000−33−i3i3000000000000000000000
χ724-4-44-2-24-42222-2-21-1-11-22-2200000−2323−2i32i31-10000−3i3i3i−3i0000000000000003−3i3−i3000000000000000000000
χ734-4-44-2-24-42222-2-21-1-11-22-2200000−23232i3−2i31-100003i−3i−3i3i0000000000000003−3−i3i3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-4008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-20000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-44-444422-2-2000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-48004-4-88-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-4442-22-20000000000000000026−26−66−660000000000000000000000000000000000000000
χ808-88-8-4-4004-44-4442-22-200000000000000000−26266−66−60000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42-2-224-44-4000000000-22000000000000000000000000000000000000000000000000

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