Finite Group Databasebeta

← Group #11889266

Character table — Group #11889266

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order1222334466666636661212121224668121224242424242424242224446688886661212121244444661212122424242424412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-11111-1-11111111-1-1-11-111-11-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111-1-1-11-11-1-1-1-1111111111-1-11-11-1-11-11-1-111-1-1-11-11-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ511111111111111111111111-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-11-1-11-1-11-1
χ611111111111111111111111-111-111-1-1-1-1-1-1-1-1111-11-111-1-111111-1-1-1-1-1-11-1-111-11-1-1-111-111-1-11-11
χ711111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1-1-1-1-1-1-111-1-11-1111-1-1-11111-1-11
χ811111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1-11111-1-11-1-1111-1111-1-1-1-1-1-1-1111
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111111-1-1111-1-1-111111111-1-1-1-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1111-111-1-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11111-1-1-111-1-1-11-1-1-111-1-1-111-111
χ131111111111111111111111-1-1-1-11111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-11-1-111-111-11-11-1
χ141111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11-1-1111-11
χ151111111111111111111111-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11
χ161111111111111111111111-1-1-1-111111111111-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-111-1-1-1111-111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000000022-2-22200000000000-2-200000-2-22000020000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000002-2-22220000000000022000002-2-20000-20000000
χ19222222-2-22222222222-2-2-2-200000-2-20000000000-222-2-2-2000000000002200000-2220000-20000000
χ20222222-2-22222222222-2-2-2-200000-2-20000000000-2-222-2-200000000000-2-20000022-2000020000000
χ2122222-122-1-122-12-1-1-1-12-12-122-1-12-1-122-1-1-1-1-1-1222020-1-122002-1-1-12-1-100020-1-10-10-1-1000000-1000
χ2222222-122-1-122-12-1-1-1-12-12-122-1-12-1-122-1-1-1-1-1-1-2-2-20-2011-2-2002-1-1-12-1-1000-2011010110000001000
χ2322222-122-1-122-12-1-1-1-12-12-12-2-1-1-2-1-1-2-2111111222020-1-1-2-2002-1-11-211000-20-1-10-10110000001000
χ2422222-122-1-122-12-1-1-1-12-12-12-2-1-1-2-1-1-2-2111111-2-2-20-201122002-1-11-2110002011010-1-1000000-1000
χ2522222-122-1-122-12-1-1-1-12-12-1-2211-2-1-1-2-211111122-20-20112200-211-12-1-1000-20-1-1010-1-10000001000
χ2622222-122-1-122-12-1-1-1-12-12-1-2211-2-1-1-2-2111111-2-22020-1-1-2-200-211-12-1-100020110-1011000000-1000
χ2722222-122-1-122-12-1-1-1-12-12-1-2-2112-1-122-1-1-1-1-1-122-20-2011-2-200-2111-21100020-1-101011000000-1000
χ2822222-122-1-122-12-1-1-1-12-12-1-2-2112-1-122-1-1-1-1-1-1-2-22020-1-12200-2111-211000-20110-10-1-10000001000
χ292222-122222-1-12-1-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1000202000022-1-1-12-1-1-10020200-10-100-1-1000-10-100
χ302222-122222-1-12-1-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1000-20-20000-2-2-1-1-12-1-1-100-20-200101001100010100
χ312222-122222-1-12-1-1-1-1-1-12-122-222-2-1-111-2-211110002020000-2-2-1-1-1-211100-20200-10-10011000-10100
χ322222-122222-1-12-1-1-1-1-1-12-122-222-2-1-111-2-21111000-20-2000022-1-1-1-21110020-20010100-1-100010-100
χ332222-122222-1-12-1-1-1-1-1-12-12-22-2-2-2-1-111-2-211110002020000-2-21112-1-1-10020-200-10-1001100010-100
χ342222-122222-1-12-1-1-1-1-1-12-12-22-2-2-2-1-111-2-21111000-20-20000221112-1-1-100-2020010100-1-1000-10100
χ352222-122222-1-12-1-1-1-1-1-12-12-2-2-2-22-1-1-1-122-1-1-1-1000202000022111-211100-20-200-10-100-1-100010100
χ362222-122222-1-12-1-1-1-1-1-12-12-2-2-2-22-1-1-1-122-1-1-1-1000-20-20000-2-2111-211100202001010011000-10-100
χ372-22-2222-2-2-2-222-22-22-222-2-200000-22000000002-2000000002i−2i0000000000002-2000002i−2i02i−2i00000
χ382-22-2222-2-2-2-222-22-22-222-2-200000-22000000002-200000000−2i2i0000000000002-200000−2i2i0−2i2i00000
χ392-22-2222-2-2-2-222-22-22-222-2-200000-2200000000-22000000002i−2i000000000000-22000002i−2i0−2i2i00000
χ402-22-2222-2-2-2-222-22-22-222-2-200000-2200000000-2200000000−2i2i000000000000-2200000−2i2i02i−2i00000
χ4144444-2-4-4-2-244-24-2-2-2-2-42-420000022000000000040-40-2-2000000000000000000020000000000000
χ4244444-2-4-4-2-244-24-2-2-2-2-42-4200000220000000000-4040220000000000000000000-20000000000000
χ434444-24-4-444-2-24-2-2-2-2-22-42-400000220000000000040-40000000000000000000020-2000000000000
χ444444-24-4-444-2-24-2-2-2-2-22-42-4000002200000000000-40400000000000000000000-202000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-244-2-2411-2-2-2-21111000000000000-211-2-2110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-2-2-4112222-1-1-1-1000000000000-21122-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-4422-4112222-1-1-1-10000000000002-1-1-2-2110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-422411-2-2-2-211110000000000002-1-122-1-10000000000000000000000
χ4944-4-44400-44-4-4-444-4-44000000000000000000000000000000000000004i−4i00000000000000000000
χ5044-4-44400-44-4-4-444-4-4400000000000000000000000000000000000000−4i4i00000000000000000000
χ514-44-444-44-4-4-444-44-44-4-4-444000004-40000000000000000000000000000000000000000000000000
χ524-44-44-24-422-44-2-4-22-224-2-42000002-2000000004-40000000000000000000000-22000000000000000
χ534-44-44-24-422-44-2-4-22-224-2-42000002-200000000-4400000000000000000000002-2000000000000000
χ544-44-44-2-4422-44-2-4-22-22-424-200−2i32i30-22000000000000000000000−2i32i300000000000000000000000000
χ554-44-44-2-4422-44-2-4-22-22-424-2002i3−2i30-220000000000000000000002i3−2i300000000000000000000000000
χ564-44-4-244-4-4-42-242-22-22-242-4000002-20000000000000000004i−4i0000000000000000000−2i2i00000000
χ574-44-4-244-4-4-42-242-22-22-242-4000002-2000000000000000000−4i4i00000000000000000002i−2i00000000
χ584-44-4-24-44-4-42-242-22-222-4-2400000-2223−23002323−23−2300000000000000000000000000000000000000000
χ594-44-4-24-44-4-42-242-22-222-4-2400000-22−232300−23−23232300000000000000000000000000000000000000000
χ604-44-4-2-2-44222-2-221-11-122-2-200−2i32i301-123−2300−3−3330000000000000i3−i3003i−3i0000000000000000000000
χ614-44-4-2-2-44222-2-221-11-122-2-200−2i32i301-1−23230033−3−30000000000000i3−i300−3i3i0000000000000000000000
χ624-44-4-2-2-44222-2-221-11-122-2-2002i3−2i301-123−2300−3−3330000000000000−i3i300−3i3i0000000000000000000000
χ634-44-4-2-2-44222-2-221-11-122-2-2002i3−2i301-1−23230033−3−30000000000000−i3i3003i−3i0000000000000000000000
χ644-4-4444004-44-4-4-444-4-4000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ654-4-4444004-44-4-4-444-4-40000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ664-4-444-200-224-42-4-2-22200000000000006−66−66−6000000−2i32i3−2i22i20000000000000000000i2−i20000000000
χ674-4-444-200-224-42-4-2-22200000000000006−66−66−60000002i3−2i32i2−2i20000000000000000000−i2i20000000000
χ684-4-444-200-224-42-4-2-2220000000000000−66−66−66000000−2i32i32i2−2i20000000000000000000−i2i20000000000
χ694-4-444-200-224-42-4-2-2220000000000000−66−66−660000002i3−2i3−2i22i20000000000000000000i2−i20000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-4004-4-8-848-444-4000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-8844-8-4-444-4000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4444-42-2-2200000000000000032−32−323200000000000000000000000000000000000000000
χ7488-8-8-4-4004-4444-42-2-22000000000000000−323232−3200000000000000000000000000000000000000000
χ758-88-8-4-48-8444-4-442-22-2-4-44400000-220000000000000000000000000000000000000000000000000
χ768-8-88-48008-8-44-84-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-44-444422-2-2000000000000026−26−66−6600000000000000000000000000000000000000000
χ788-8-88-4-400-44-444422-2-20000000000000−26266−66−600000000000000000000000000000000000000000

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