Finite Group Databasebeta

← Group #11884324

Character table — Group #11884324

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order12223344666666223666881212121246666121224242424242424242444121212126612121212442444688121212121224242424222886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111111111-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-111-111-1-1111111-1-11-11-1-1-11111-1-1-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111-1-111111-1-1-1-11-1-1-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-11-1-111-11-1-1-111-1-111-111111-1-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-1-11-1111-1-111-1-1-11111-11-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1-111111-1-1-1-1111
χ911111111111111-1-11111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-111-1-11-11
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-111-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1111-1-111-1
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-111-11-11-111-1-1-1-111-1-1-111-111
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11-1-11-11-11-1-11111-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-111111111111-1-1-1-1-1
χ17222222-2-222222200222200-2-2-2-200000-2-20000000022-2-222-2-2000000-2-20000200-20000000020000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-22-2-2-2-2-2000000220000200200000000-20000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22-222222000000220000-200-200000000-20000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2-222-2-222000000-2-20000-20020000000020000000
χ2122222-1222-1-12-1222-1-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-10220-1-100-1-1-12-1-1002020002-1-1-10000-1-100000-100
χ2222222-1222-1-12-1222-1-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-10-2-201100-1-1-12-1-100-20-2000-211100001100000100
χ2322222-1222-1-12-1222-1-1-1-1-2-2-122-1-222-1-1-1-1-2-21111110220-1-100-1-11-21100-202000-2-1-1-100001100000100
χ2422222-1222-1-12-1222-1-1-1-1-2-2-122-1-222-1-1-1-1-2-21111110-2-201100-1-11-2110020-200021110000-1-100000-100
χ2522222-1222-1-12-12-2-2-1-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-10220-1-100111-21100-20-20002-1110000-1-100000100
χ2622222-1222-1-12-12-2-2-1-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-10-2-201100111-21100202000-21-1-100001100000-100
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-2-122-12-2-211-1-1-2-21111110220-1-10011-12-1-10020-2000-2-11100001100000-100
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-2-122-12-2-211-1-1-2-21111110-2-20110011-12-1-100-20200021-1-10000-1-100000100
χ292222-1222-122-12-122-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1200200-1-1-1-12-1-1-1000202-120000-1-1-1-100000000-10
χ302222-1222-122-12-122-1-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-200-20011-1-12-1-1-1000-20-21-2000011110000000010
χ312222-1222-122-12-122-1-1-1-1-2-22-1-12-2-1-122-1-111-2-21111200200-1-1-1-1-2111000-202-1-20000-1-1110000000010
χ322222-1222-122-12-122-1-1-1-1-2-22-1-12-2-1-122-1-111-2-21111-200-20011-1-1-211100020-212000011-1-100000000-10
χ332222-1222-122-12-1-2-2-1-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1200200-1-111-2111000-20-2-12000011-1-10000000010
χ342222-1222-122-12-1-2-2-1-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1-200-2001111-21110002021-20000-1-11100000000-10
χ352222-1222-122-12-1-2-2-1-1-1-1-2-22-1-12211-2-2-1-111-2-21111200200-1-1112-1-1-100020-2-1-20000111100000000-10
χ362222-1222-122-12-1-2-2-1-1-1-1-2-22-1-12211-2-2-1-111-2-21111-200-20011112-1-1-1000-202120000-1-1-1-10000000010
χ372-2-2222-22-22-2-2-222-22-2-2200-22-2202-22-2-2200000000000000002-2000000000000000000000002-22-2000
χ382-2-2222-22-22-2-2-222-22-2-2200-22-2202-22-2-2200000000000000002-200000000000000000000000-22-22000
χ392-2-2222-22-22-2-2-22-222-2-2200-22-220-22-22-220000000000000000-22000000000000000000000002-2-22000
χ402-2-2222-22-22-2-2-22-222-2-2200-22-220-22-22-220000000000000000-2200000000000000000000000-222-2000
χ4144444-2-4-44-2-24-2400-2-2-2-2002-4-4200000220000000004-40-2-20000000000000000020000000000000000
χ4244444-2-4-44-2-24-2400-2-2-2-2002-4-420000022000000000-4402200000000000000000-20000000000000000
χ434444-24-4-4-244-24-200-2-2-2-200-422-4000002200000000400-40022000000000000-20000000000000000000
χ444444-24-4-4-244-24-200-2-2-2-200-422-4000002200000000-400400-2-200000000000020000000000000000000
χ454444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-211110000000011-2-21100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000001122-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-2111100000000-1-122-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-100000000-1-1-2-21100000000000000000000000000
χ4944-4-444004-4-4-44-40044-4-4000000000000000000000000000000000004i−4i000000000000000000000000
χ5044-4-444004-4-4-44-40044-4-400000000000000000000000000000000000−4i4i000000000000000000000000
χ514-44-44400-4-444-4-4004-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ524-44-44400-4-444-4-4004-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ534-44-44-200-42-242-400-22-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000023−23000000000000000000000000i6−i600000000
χ544-44-44-200-42-242-400-22-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000−2323000000000000000000000000−i6i600000000
χ554-44-44-200-42-242-400-22-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000023−23000000000000000000000000−i6i600000000
χ564-44-44-200-42-242-400-22-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000−2323000000000000000000000000i6−i600000000
χ574-44-4-24002-44-2-4200-22-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000023−2300000000000000000000i6−i60000000000
χ584-44-4-24002-44-2-4200-22-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000000−232300000000000000000000−i6i60000000000
χ594-44-4-24002-44-2-4200-22-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000023−2300000000000000000000−i6i60000000000
χ604-44-4-24002-44-2-4200-22-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000000−232300000000000000000000i6−i60000000000
χ614-4-44444-4-44-4-4-44004-4-44004-44-4000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-4-4-22-42400-222-200-2-44200000-220000000000000000000000000000000023−2300000000000000
χ634-4-444-24-4-4-22-42400-222-200-2-44200000-2200000000000000000000000000000000−232300000000000000
χ644-4-444-2-44-4-22-4244-4-222-20024-4-204-4-222-20000000000000000-22000000000000000000000000000000
χ654-4-444-2-44-4-22-424-44-222-20024-4-20-442-22-200000000000000002-2000000000000000000000000000000
χ664-4-44-244-424-42-4-200-222-20042-2-400000-220000000000000000000000000000000000−2i32i3000000000000
χ674-4-44-244-424-42-4-200-222-20042-2-400000-2200000000000000000000000000000000002i3−2i3000000000000
χ684-4-44-24-4424-42-4-24-4-222-200-4-2240-224-42-20000000000000000-22000000000000000000000000000000
χ694-4-44-24-4424-42-4-2-44-222-200-4-22402-2-442-200000000000000002-2000000000000000000000000000000
χ704-4-44-2-2-442-2222-24-41-1-11002-22-20-22-22-1100003-33-3000000001-1003-300000000000000000000000000
χ714-4-44-2-2-442-2222-24-41-1-11002-22-20-22-22-110000-33-33000000001-100-3300000000000000000000000000
χ724-4-44-2-2-442-2222-2-441-1-11002-22-202-22-2-1100003-33-300000000-1100-3300000000000000000000000000
χ734-4-44-2-2-442-2222-2-441-1-11002-22-202-22-2-110000-33-3300000000-11003-300000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-400844-8-4-800-4-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4800-4-8-848400-4-4440000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4444-440022-2-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ7888-8-8-4-400-4444-440022-2-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ798-88-8-4-40044-4-444002-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ808-88-8-4-40044-4-444002-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ818-8-88-4-48-84-4444-4002-2-2200-44-44000002-2000000000000000000000000000000000000000000000000

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