Finite Group Databasebeta

← Group #11889462

Character table — Group #11889462

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order122233446666663666121212124481212121224242424242424242444448888121212121212121212224446121212122424242444412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1111-1-1-1111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111-111-111-1-111111111111-1-11-1-1-1111-1-1-111-1-1-11-1-1-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-111-11-111111-1-1-1-1-1-11-11-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11-1-111-1-1-1-111-11-1-1-11-1-11111-111-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1111-1-111-1-1-1-1-1-11-1111-111-1-111-1-1-11-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-1111-11-1-1-1-1-11111-1-111-111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-111111-111-1-111-1-1-1-11111-11-1-1
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-111-1-111-1-1-1-11111-11-1-111-1-1-1-1-1111
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-111-1-111-1-111-1-1-1-11-111-1-1-1-1-111-111
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11111-11-1-111-1-11111111-11-1-1-1
χ131111111111111111111111-1-11-1-111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-11-1-1111111-1-11-1-1-1-11
χ141111111111111111111111-1-11-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1111-1-111-11-1-11-1
χ151111111111111111111111-1-11-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-11111-1-1111-1
χ161111111111111111111111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-11
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-2000000-2-20000000-2-20002002-2000000200000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-22-200000022000000022000200-2-2000000-200000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-22-22000000-2-2000000022000-20022000000-200000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222000000220000000-2-2000-200-22000000200000
χ2122222-122-1-1222-1-1-1-1-12-12-122222-1-122-1-1-1-1-1-1200200220000-1-12-1-1-1-100022-1000-1-1-1000000-1-100
χ2222222-122-1-1222-1-1-1-1-12-12-122222-1-122-1-1-1-1-1-1-200-200-2-20000-1-12-1-1-1-1000-2-210001110000001100
χ2322222-122-1-1222-1-1-1-1-12-12-12-2-222-1-1-2-2111111200200-2-20000-11-2-1-1110002-2-1000-111000000-1100
χ2422222-122-1-1222-1-1-1-1-12-12-12-2-222-1-1-2-2111111-200-200220000-11-2-1-111000-2210001-1-10000001-100
χ2522222-122-1-1222-1-1-1-1-12-12-1-22-2-2-2-1-1-2-2111111200200-2-200001-1211-1-1000-22-1000-1110000001-100
χ2622222-122-1-1222-1-1-1-1-12-12-1-22-2-2-2-1-1-2-2111111-200-2002200001-1211-1-10002-210001-1-1000000-1100
χ2722222-122-1-1222-1-1-1-1-12-12-1-2-22-2-2-1-122-1-1-1-1-1-120020022000011-21111000-2-2-1000-1-1-10000001100
χ2822222-122-1-1222-1-1-1-1-12-12-1-2-22-2-2-1-122-1-1-1-1-1-1-200-200-2-2000011-21111000221000111000000-1-100
χ292222-122222-1-1-12-1-1-1-1-12-12222-1-1-1-1-1-122-1-1-1-10220220022-1-122-1-1-1-1-1002000-1-1-1000-1-1000-10000
χ302222-122222-1-1-12-1-1-1-1-12-12222-1-1-1-1-1-122-1-1-1-10-2-20-2-200-2-21122-1-1-1-1-100-20001110001100010000
χ312222-122222-1-1-12-1-1-1-1-12-122-2-2-1-1-1-111-2-2111102202200-2-2-1-12-21-1-11100-2000-1-1-10001100010000
χ322222-122222-1-1-12-1-1-1-1-12-122-2-2-1-1-1-111-2-211110-2-20-2-20022112-21-1-111002000111000-1-1000-10000
χ332222-122222-1-1-12-1-1-1-1-12-12-22-211-1-111-2-211110220-2-200-2-2-1-1-22-111-1-100200011-100011000-10000
χ342222-122222-1-1-12-1-1-1-1-12-12-22-211-1-111-2-211110-2-2022002211-22-111-1-100-2000-1-11000-1-100010000
χ352222-122222-1-1-12-1-1-1-1-12-12-2-2211-1-1-1-122-1-1-1-10220-2-20022-1-1-2-21111100-200011-1000-1-100010000
χ362222-122222-1-1-12-1-1-1-1-12-12-2-2211-1-1-1-122-1-1-1-10-2-202200-2-211-2-211111002000-1-1100011000-10000
χ372-2-2222-22-2-2-22-2222-2-222-2-2000002-20000000000002-22i−2i000000000000000002-2002i−2i002i−2i000000
χ382-2-2222-22-2-2-22-2222-2-222-2-2000002-20000000000002-2−2i2i000000000000000002-200−2i2i00−2i2i000000
χ392-2-2222-22-2-2-22-2222-2-222-2-2000002-2000000000000-222i−2i00000000000000000-22002i−2i00−2i2i000000
χ402-2-2222-22-2-2-22-2222-2-222-2-2000002-2000000000000-22−2i2i00000000000000000-2200−2i2i002i−2i000000
χ4144444-2-4-4-2-2444-2-2-2-2-2-42-42000002200000000400-400000000000000000000-20002000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-2-42-42000002200000000-4004000000000000000000002000-2000000000000
χ434444-24-4-444-2-2-24-2-2-2-22-42-400000220000000004-4000000022000000000000000-20000000000000
χ444444-24-4-444-2-2-24-2-2-2-22-42-40000022000000000-440000000-2-200000000000000020000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-1000000000000-22211-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-10000000000002-2-2-1-1110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-444004-4-4-44-44-44-400000000000000000000000000022−2200000000000000000000022−2200000000
χ5044-4-444004-4-4-44-44-44-4000000000000000000000000000−2222000000000000000000000−222200000000
χ5144-4-4-24004-422-2-4-22-22000000000006−60066−6−60000000022−2223−230000000000000000000−2200000000
χ5244-4-4-24004-422-2-4-22-22000000000006−60066−6−600000000−2222−232300000000000000000002−200000000
χ5344-4-4-24004-422-2-4-22-2200000000000−6600−6−6660000000022−22−23230000000000000000000−2200000000
χ5444-4-4-24004-422-2-4-22-2200000000000−6600−6−66600000000−222223−2300000000000000000002−200000000
χ554-44-44400-444-4-4-44-4-44000000000000000000000000000000000000004-400000000000000000000
χ564-44-44400-444-4-4-44-4-4400000000000000000000000000000000000000-4400000000000000000000
χ574-4-44444-4-4-4-44-4444-4-4-4-44400000-440000000000000000000000000000000000000000000000000
χ584-4-444-24-422-44-4-2-2-222-424-2000002-200−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000
χ594-4-444-24-422-44-4-2-2-222-424-2000002-2002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000
χ604-4-444-2-4422-44-4-2-2-2224-2-4200000-22000000000000004i−4i000000000000000000000−2i2i0000000000
χ614-4-444-2-4422-44-4-2-2-2224-2-4200000-2200000000000000−4i4i0000000000000000000002i−2i0000000000
χ624-4-44-244-4-4-42-224-2-2222-4-2400023−232-20000000000000000000000023−23000000000000000000000000
χ634-4-44-244-4-4-42-224-2-2222-4-24000−23232-200000000000000000000000−2323000000000000000000000000
χ644-4-44-24-44-4-42-224-2-222-242-400000-220000000000004-40000000000000000000-2200000000000000
χ654-4-44-24-44-4-42-224-2-222-242-400000-22000000000000-4400000000000000000002-200000000000000
χ664-4-44-2-24-4222-22-211-1-122-2-200023−23-1100−2i32i3i3−i3i3−i3000000000000000−333i−3i0000000000000000000000
χ674-4-44-2-24-4222-22-211-1-122-2-200023−23-11002i3−2i3−i3i3−i3i3000000000000000−33−3i3i0000000000000000000000
χ684-4-44-2-24-4222-22-211-1-122-2-2000−2323-1100−2i32i3i3−i3i3−i30000000000000003−3−3i3i0000000000000000000000
χ694-4-44-2-24-4222-22-211-1-122-2-2000−2323-11002i3−2i3−i3i3−i3i30000000000000003−33i−3i0000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-400-44-8-884-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-4444-442-22-20000000000026−2600−6−66600000000000000000000000000000000000000000
χ7388-8-8-4-400-4444-442-22-200000000000−26260066−6−600000000000000000000000000000000000000000
χ748-88-88-4004-48-8-84-444-4000000000000000000000000000000000000000000000000000000000000
χ758-88-8-4800-88-444-8-444-4000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-4004-4-44442-2-22000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ778-88-8-4-4004-4-44442-2-220000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ788-8-88-4-4-88444-44-422-2-2-4-444000002-20000000000000000000000000000000000000000000000000

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