Finite Group Databasebeta

← Group #11889758

Character table — Group #11889758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212248121212122424242424242424244444888812126666121212224446121212122424242422412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-1-1-111-1-1-1-11111111-1-1-11111-1-1-111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111-11-1111-1-111111111111-1-11-1-1-1-1111-1-111-1-1-11-1-1-1-1
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
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11111-1111-1-1-1-1-1-111111-1-1-1
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-11-111-111-1-111-1-1-1-11-111
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-11-11-1-11-1-111-1-1-1-1-11-1111
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-1-11-1-1-1111111111-1-11-1-1
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11-1-111-1
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1111-1-11-1111-1-1-1-1-11111-11-11-11
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-1111-1-1-11-1-1-111111-1-111-1-11-1-11
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1111-11-1
χ131111111111111111111111-1-11-1-111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1111-1-11111-1-11-1-1-1-11
χ141111111111111111111111-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-111-11-1-11-1
χ151111111111111111111111-1-11-1-11111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1111-1
χ161111111111111111111111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111-11
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-2000000220000000220002-2-200000000-200000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-22000000-2-20000000-2-20002-2200000000200000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-2000000220000000-2-2000-22-200000000200000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222000000-2-2000000022000-22200000000-200000
χ2122222-122-12-122-1-1-1-1-1-12-1222222-1-122-1-1-1-1-1-12020002200002-1-1-1-1-1-100022-1-1000-1-1000000-1-100
χ2222222-122-12-122-1-1-1-1-1-12-1222222-1-122-1-1-1-1-1-1-20-2000-2-200002-1-1-1-1-1-1000-2-211000110000001100
χ2322222-122-12-122-1-1-1-1-1-12-122-2-2-2-2-1-1-2-2111111202000-2-200002-1-1-11110002-2-1-100011000000-1100
χ2422222-122-12-122-1-1-1-1-1-12-122-2-2-2-2-1-1-2-2111111-20-20002200002-1-1-1111000-2211000-1-10000001-100
χ2522222-122-12-122-1-1-1-1-1-12-12-22-222-1-1-2-2111111202000-2-20000-2111-1-1-1000-22-1-1000110000001-100
χ2622222-122-12-122-1-1-1-1-1-12-12-22-222-1-1-2-2111111-20-2000220000-2111-1-1-10002-211000-1-1000000-1100
χ2722222-122-12-122-1-1-1-1-1-12-12-2-22-2-2-1-122-1-1-1-1-1-1202000220000-2111111000-2-2-1-1000-1-10000001100
χ2822222-122-12-122-1-1-1-1-1-12-12-2-22-2-2-1-122-1-1-1-1-1-1-20-2000-2-20000-2111111000221100011000000-1-100
χ292222-12222-12-1-12-1-1-1-12-12-1222-1-1-1-1-1-122-1-1-1-10202220022-1-1-12-1-12-1-10020000-1-1-100-1-1000-10000
χ302222-12222-12-1-12-1-1-1-12-12-1222-1-1-1-1-1-122-1-1-1-10-20-2-2-200-2-211-12-1-12-1-100-20000111001100010000
χ312222-12222-12-1-12-1-1-1-12-12-12-2-211-1-111-2-211110202-2-200-2-2-1-1-12-1-1-2110020000-1110011000-10000
χ322222-12222-12-1-12-1-1-1-12-12-12-2-211-1-111-2-211110-20-222002211-12-1-1-21100-200001-1-100-1-100010000
χ332222-12222-12-1-12-1-1-1-12-12-1-22-2-1-1-1-111-2-2111102022200-2-2-1-11-2112-1-100-20000-1-1-1001100010000
χ342222-12222-12-1-12-1-1-1-12-12-1-22-2-1-1-1-111-2-211110-20-2-2-20022111-2112-1-1002000011100-1-1000-10000
χ352222-12222-12-1-12-1-1-1-12-12-1-2-2211-1-1-1-122-1-1-1-10202-2-20022-1-11-211-21100-20000-11100-1-100010000
χ362222-12222-12-1-12-1-1-1-12-12-1-2-2211-1-1-1-122-1-1-1-10-20-22200-2-2111-211-21100200001-1-10011000-10000
χ372-22-222-22-2-222-2-22-2-2222-2-2000002-20000000000002i−2i2i−2i00000000000000000002i−2i2i−2i002-2000000
χ382-22-222-22-2-222-2-22-2-2222-2-2000002-20000000000002i−2i−2i2i00000000000000000002i−2i−2i2i00-22000000
χ392-22-222-22-2-222-2-22-2-2222-2-2000002-2000000000000−2i2i2i−2i0000000000000000000−2i2i2i−2i00-22000000
χ402-22-222-22-2-222-2-22-2-2222-2-2000002-2000000000000−2i2i−2i2i0000000000000000000−2i2i−2i2i002-2000000
χ4144444-2-4-4-24-244-2-2-2-2-22-42-400000220000000040-4000000000000000000000-22000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-22-42-4000002200000000-4040000000000000000000002-2000000000000000
χ434444-24-4-44-24-2-24-2-2-2-2-42-42000002200000000040-4000000-2-200000000000000200000000000000
χ444444-24-4-44-24-2-24-2-2-2-2-42-420000022000000000-4040000002200000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-211-2110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-1000000000000-2-2112-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-100000000000022-1-1-2110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-2111100000000000022-1-12-1-10000000000000000000000
χ4944-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000004-400000000000000000000
χ5044-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000-4400000000000000000000
χ514-44-4444-4-4-444-4-44-4-44-4-44400000-440000000000000000000000000000000000000000000000000
χ524-44-44-24-42-4-24-42-222-22-4-24000002-200−2i32i3−2i3−2i32i32i300000000000000000000000000000000000000000
χ534-44-44-24-42-4-24-42-222-22-4-24000002-2002i3−2i32i32i3−2i3−2i300000000000000000000000000000000000000000
χ544-44-44-2-442-4-24-42-222-2-242-400000-22000000000000004i−4i000000000000000000000−2i2i0000000000
χ554-44-44-2-442-4-24-42-222-2-242-400000-2200000000000000−4i4i0000000000000000000002i−2i0000000000
χ564-44-4-244-4-424-22-4-222-2-424-2000−2i32i32-20000000000000000000000000−2i32i30000000000000000000000
χ574-44-4-244-4-424-22-4-222-2-424-20002i3−2i32-200000000000000000000000002i3−2i30000000000000000000000
χ584-44-4-24-44-424-22-4-222-24-2-4200000-220000000000004i−4i000000000000000000000−2i2i000000000000
χ594-44-4-24-44-424-22-4-222-24-2-4200000-22000000000000−4i4i0000000000000000000002i−2i000000000000
χ604-44-4-2-24-422-2-2221-1-1122-2-2000−2i32i3-1100−2i32i3i3i3−i3−i3000000000000003-30i3−i30000000000000000000000
χ614-44-4-2-24-422-2-2221-1-1122-2-2000−2i32i3-11002i3−2i3−i3−i3i3i300000000000000-330i3−i30000000000000000000000
χ624-44-4-2-24-422-2-2221-1-1122-2-20002i3−2i3-1100−2i32i3i3i3−i3−i300000000000000-330−i3i30000000000000000000000
χ634-44-4-2-24-422-2-2221-1-1122-2-20002i3−2i3-11002i3−2i3−i3−i3i3i3000000000000003-30−i3i30000000000000000000000
χ644-4-444400-4-4-4-4444-44-400000000000000000000000000022−2200000000000000000000022−2200000000
χ654-4-444400-4-4-4-4444-44-4000000000000000000000000000−2222000000000000000000000−222200000000
χ664-4-44-2400-42-42-24-22-22000000000006−6006−66−60000000022−2223−230000000000000000000−2200000000
χ674-4-44-2400-42-42-24-22-22000000000006−6006−66−600000000−2222−232300000000000000000002−200000000
χ684-4-44-2400-42-42-24-22-2200000000000−6600−66−660000000022−22−23230000000000000000000−2200000000
χ694-4-44-2400-42-42-24-22-2200000000000−6600−66−6600000000−222223−2300000000000000000002−200000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-400-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-48008-4-844-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ758-88-8-4-4-8844-4-4442-2-22-4-444000002-20000000000000000000000000000000000000000000000000
χ768-8-888-4004-84-88-4-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-4004444-4-42-22-20000000000026−2600−66−6600000000000000000000000000000000000000000
χ788-8-88-4-4004444-4-42-22-200000000000−2626006−66−600000000000000000000000000000000000000000

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