Finite Group Databasebeta

← Group #11884491

Character table — Group #11884491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212246681212242424242424242424444488881212666121212124422461212121224242424222661248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1111-111-1-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111-11-1-1-11-1-111-1-11111111-1-111-1-111-1-1-1-111-1-1-111-1-1-1
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
χ511111111111111111111111-111-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1111-1-111111-1-1-1-11-1-11-1-11-1
χ611111111111111111111111-111-111-1-1-1-1-1-1-1-11-1111-1-1-11111111-1-1-1-1-1-1-11-11-1-111-1-111-111-11-1-11
χ711111111111111111111111-111-111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1111-1-1-1-1-1-11-11-111-1-111-1-1-1111-11-11
χ811111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-111-111-1-1-1-1-111111-1-1-1111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1111111-111111-1-1-1-1-1-1111-111-1-1
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-11111-1-11-111-1-1-1-1-1-111-1-1-11-1111
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-11111-1-1-11-1-1111111-1-1-1-1-1-11-111
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11111111-1-1-1-1-11111111111-1-1-1-1
χ131111111111111111111111-1-1-1-111111111111111-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-111111-1-1-1-1-1-11
χ141111111111111111111111-1-1-1-1111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-11111-11-1
χ151111111111111111111111-1-1-1-111111111111-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-111-1-111-1
χ161111111111111111111111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11-1-1111-11
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-200-20000-2-20000000-2-200022-200000020000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-20020000-2-20000000220002-22000000-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-22200-2000022000000022000-22-2000000-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-220020000220000000-2-2000-2-2200000020000000
χ2122222-1222-1-1-122-1-1-1-1-12-1222222-1-122-1-1-1-1-1-1020002002200-1-1-1-12-1-1002200-1-10000-1-1000-1-1000
χ2222222-1222-1-1-122-1-1-1-1-12-1222222-1-122-1-1-1-1-1-10-2000-200-2-200-1-1-1-12-1-100-2-2001100001100011000
χ2322222-1222-1-1-122-1-1-1-1-12-122-222-2-1-1-2-211111102000200-2-200-1-1-11-211002-200-1-1000011000-11000
χ2422222-1222-1-1-122-1-1-1-1-12-122-222-2-1-1-2-21111110-2000-2002200-1-1-11-21100-2200110000-1-10001-1000
χ2522222-1222-1-1-122-1-1-1-1-12-12-22-2-2-2-1-1-2-211111102000200-2-200111-12-1-100-2200-1-10000110001-1000
χ2622222-1222-1-1-122-1-1-1-1-12-12-22-2-2-2-1-1-2-21111110-2000-2002200111-12-1-1002-200110000-1-1000-11000
χ2722222-1222-1-1-122-1-1-1-1-12-12-2-2-2-22-1-122-1-1-1-1-1-10200020022001111-21100-2-200-1-10000-1-100011000
χ2822222-1222-1-1-122-1-1-1-1-12-12-2-2-2-22-1-122-1-1-1-1-1-10-2000-200-2-2001111-21100220011000011000-1-1000
χ292222-1222-1222-1-1-1-1-1-12-12-122-1-12-1-1-1-122-1-1-1-12022202200-1-12-1-12-1-1-100002-100-1-1-1-10000000-100
χ302222-1222-1222-1-1-1-1-1-12-12-122-1-12-1-1-1-122-1-1-1-1-20-2-2-20-2-200112-1-12-1-1-10000-210011110000000100
χ312222-1222-1222-1-1-1-1-1-12-12-12-2-1-1-2-1-111-2-21111202220-2-200-1-12-1-1-21110000-2-100-1-1110000000100
χ322222-1222-1222-1-1-1-1-1-12-12-12-2-1-1-2-1-111-2-21111-20-2-2-202200112-1-1-21110000210011-1-10000000-100
χ332222-1222-1222-1-1-1-1-1-12-12-1-2211-2-1-111-2-21111202-2-20-2-200-1-1-2112-1-1-100002-10011110000000-100
χ342222-1222-1222-1-1-1-1-1-12-12-1-2211-2-1-111-2-21111-20-2220220011-2112-1-1-10000-2100-1-1-1-10000000100
χ352222-1222-1222-1-1-1-1-1-12-12-1-2-2112-1-1-1-122-1-1-1-1202-2-202200-1-1-211-21110000-2-10011-1-10000000100
χ362222-1222-1222-1-1-1-1-1-12-12-1-2-2112-1-1-1-122-1-1-1-1-20-2220-2-20011-211-211100002100-1-1110000000-100
χ372-22-222-22-22-2-2-222-2-22-2-222000002-2000000000002-20002-2000000000000000002-2002-202-200000
χ382-22-222-22-22-2-2-222-2-22-2-222000002-2000000000002-2000-22000000000000000002-200-220-2200000
χ392-22-222-22-22-2-2-222-2-22-2-222000002-200000000000-220002-200000000000000000-22002-20-2200000
χ402-22-222-22-22-2-2-222-2-22-2-222000002-200000000000-22000-2200000000000000000-2200-2202-200000
χ4144444-2-4-44-2-2-244-2-2-2-22-42-400000220000000004000-40000000000000000000-2200000000000000
χ4244444-2-4-44-2-2-244-2-2-2-22-42-40000022000000000-4000400000000000000000002-200000000000000
χ434444-24-4-4-2444-2-2-2-2-2-2-42-4200000220000000040-4000000022000000000000-20000000000000000
χ444444-24-4-4-2444-2-2-2-2-2-2-42-42000002200000000-4040000000-2-200000000000020000000000000000
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
χ4944-4-444004-44-4-4-444-4-4000000000000000000000000000000000000004i−4i00000000000000000000
χ5044-4-444004-44-4-4-444-4-400000000000000000000000000000000000000−4i4i00000000000000000000
χ514-44-4444-4-44-4-4-444-4-4444-4-400000-440000000000000000000000000000000000000000000000000
χ524-44-44-24-4-4-222-44-222-2-242-4000002-200−2i32i3−2i3−2i32i32i300000000000000000000000000000000000000000
χ534-44-44-24-4-4-222-44-222-2-242-4000002-2002i3−2i32i32i3−2i3−2i300000000000000000000000000000000000000000
χ544-44-44-2-44-4-222-44-222-22-4-2400000-2200000000000000004-4000000000000000000000-2200000000
χ554-44-44-2-44-4-222-44-222-22-4-2400000-220000000000000000-440000000000000000000002-200000000
χ564-44-4-244-424-4-42-2-222-24-2-4200−2i32i302-2000000000000000000000−2i32i300000000000000000000000000
χ574-44-4-244-424-4-42-2-222-24-2-42002i3−2i302-20000000000000000000002i3−2i300000000000000000000000000
χ584-44-4-24-4424-4-42-2-222-2-424-200000-22000000000004-40000000000000000000000-22000000000000
χ594-44-4-24-4424-4-42-2-222-2-424-200000-2200000000000-4400000000000000000000002-2000000000000
χ604-44-4-2-24-42-2222-21-1-11-2-22200−2i32i30-1100−2i32i3i3i3−i3−i30000000000000i3−i3003-30000000000000000000000
χ614-44-4-2-24-42-2222-21-1-11-2-22200−2i32i30-11002i3−2i3−i3−i3i3i30000000000000i3−i300-330000000000000000000000
χ624-44-4-2-24-42-2222-21-1-11-2-222002i3−2i30-1100−2i32i3i3i3−i3−i30000000000000−i3i300-330000000000000000000000
χ634-44-4-2-24-42-2222-21-1-11-2-222002i3−2i30-11002i3−2i3−i3−i3i3i30000000000000−i3i3003-30000000000000000000000
χ644-4-444400-4-4-444-44-44-4000000000000000000000000022−2200000000000000000000022−220000000000
χ654-4-444400-4-4-444-44-44-40000000000000000000000000−2222000000000000000000000−22220000000000
χ664-4-44-24002-4-44-22-22-22000000000006−6006−66−600000022−220023−2300000000000000000−220000000000
χ674-4-44-24002-4-44-22-22-22000000000006−6006−66−6000000−222200−2323000000000000000002−20000000000
χ684-4-44-24002-4-44-22-22-2200000000000−6600−66−6600000022−2200−232300000000000000000−220000000000
χ694-4-44-24002-4-44-22-22-2200000000000−6600−66−66000000−22220023−23000000000000000002−20000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-40084-44-8-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-4-88-844-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-44-444422-2-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7488-8-8-4-400-44-444422-2-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ758-88-8-4-4-884-4444-42-2-2244-4-4000002-20000000000000000000000000000000000000000000000000
χ768-8-888-400-844-48-8-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400444-4-442-22-20000000000026−2600−66−6600000000000000000000000000000000000000000
χ788-8-88-4-400444-4-442-22-200000000000−2626006−66−600000000000000000000000000000000000000000

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