Finite Group Databasebeta

← Group #11889450

Character table — Group #11889450

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order122233446666663666121212124481212121224242424242424242444448888121212121212121212224446121212122424242444412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1111-1-1-1-11111111-1-111-111-1-1-111-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111-11111-1-1-111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1111-1-111111-1-1-1-11-1-11-1-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-11-1-111-1-1-1-11-1111-1-1-1-1-111-1111-11-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-111-1-1111-1-111-1-1-1-1-11-1-1-111111-1-1-111-11-1-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-111-111-1-1-1-1-111111-1-1-1111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-111-1-111-1-1-11-11111-1-1-111-1-1-1-11-111
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-111-1-11111-11111-1-11-1-1-1-1111-111-1-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-1-111111-1-1-1-111-111111111-1-1-1-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-111-1-111-1-11-11-1-1-1-1111-1-1-1-1-11-1111
χ131111111111111111111111-1-11-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-1-111-1
χ141111111111111111111111-1-11-1-111111111111-1-1111111111-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-11
χ151111111111111111111111-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11-1-1111-11
χ161111111111111111111111-1-11-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-11111-11-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000002002-2-20000-2-20000000220002-20020000-20000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000200-22-20000220000000-2-20002-200-2000020000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-2002-220000-2-20000000-2-2000-22002000020000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-200-222000022000000022000-2200-20000-20000000
χ2122222-1222-1-1-122-1-1-1-1-12-1222222-1-122-1-1-1-1-1-1200002220000-1-12-1-1-1-100220-1-1000-1-100000-1-1000
χ2222222-1222-1-1-122-1-1-1-1-12-1222222-1-122-1-1-1-1-1-1-20000-2-2-20000-1-12-1-1-1-100-2-2011000110000011000
χ2322222-1222-1-1-122-1-1-1-1-12-122-2-222-1-1-2-2111111200002-2-20000-11-2-1-111002-20-1-10001100000-11000
χ2422222-1222-1-1-122-1-1-1-1-12-122-2-222-1-1-2-2111111-20000-2220000-11-2-1-11100-22011000-1-1000001-1000
χ2522222-1222-1-1-122-1-1-1-1-12-12-22-2-2-2-1-1-2-2111111200002-2-200001-1211-1-100-220-1-100011000001-1000
χ2622222-1222-1-1-122-1-1-1-1-12-12-22-2-2-2-1-1-2-2111111-20000-22200001-1211-1-1002-2011000-1-100000-11000
χ2722222-1222-1-1-122-1-1-1-1-12-12-2-22-2-2-1-122-1-1-1-1-1-120000222000011-2111100-2-20-1-1000-1-10000011000
χ2822222-1222-1-1-122-1-1-1-1-12-12-2-22-2-2-1-122-1-1-1-1-1-1-20000-2-2-2000011-2111100220110001100000-1-1000
χ292222-1222-1222-1-1-1-1-1-12-12-1222-1-1-1-1-1-122-1-1-1-10222200022-1-122-1-1-1-1-10000200-1-1-100-1-100000-100
χ302222-1222-1222-1-1-1-1-1-12-12-1222-1-1-1-1-1-122-1-1-1-10-2-2-2-2000-2-21122-1-1-1-1-10000-200111001100000100
χ312222-1222-1222-1-1-1-1-1-12-12-12-2-2-1-1-1-111-2-2111102222000-2-2-1-12-21-1-1110000-200-1-1-1001100000100
χ322222-1222-1222-1-1-1-1-1-12-12-12-2-2-1-1-1-111-2-211110-2-2-2-200022112-21-1-111000020011100-1-100000-100
χ332222-1222-1222-1-1-1-1-1-12-12-1-22-211-1-111-2-21111022-2-20002211-22-111-1-10000-200-1-1100-1-100000100
χ342222-1222-1222-1-1-1-1-1-12-12-1-22-211-1-111-2-211110-2-222000-2-2-1-1-22-111-1-1000020011-1001100000-100
χ352222-1222-1222-1-1-1-1-1-12-12-1-2-2211-1-1-1-122-1-1-1-1022-2-2000-2-211-2-2111110000200-1-11001100000-100
χ362222-1222-1222-1-1-1-1-1-12-12-1-2-2211-1-1-1-122-1-1-1-10-2-22200022-1-1-2-2111110000-20011-100-1-100000100
χ372-2-2222-22-2-2-22-222-2-2222-2-2000002-20000000002i−2i0002i−2i0000000000000000002i−2i02i−2i0002-200000
χ382-2-2222-22-2-2-22-222-2-2222-2-2000002-20000000002i−2i000−2i2i0000000000000000002i−2i0−2i2i000-2200000
χ392-2-2222-22-2-2-22-222-2-2222-2-2000002-2000000000−2i2i0002i−2i000000000000000000−2i2i02i−2i000-2200000
χ402-2-2222-22-2-2-22-222-2-2222-2-2000002-2000000000−2i2i000−2i2i000000000000000000−2i2i0−2i2i0002-200000
χ4144444-2-4-44-2-2-244-2-2-2-22-42-400000220000000040000-4000000000000000000-22000000000000000
χ4244444-2-4-44-2-2-244-2-2-2-22-42-4000002200000000-4000040000000000000000002-2000000000000000
χ434444-24-4-4-2444-2-2-2-2-2-2-42-420000022000000000004-400000220000000000000000-2000000000000
χ444444-24-4-4-2444-2-2-2-2-2-2-42-42000002200000000000-4400000-2-200000000000000002000000000000
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
χ4944-4-44400-44-4-44-444-4-4000000000000000000000000000000000000004-400000000000000000000
χ5044-4-44400-44-4-44-444-4-400000000000000000000000000000000000000-4400000000000000000000
χ514-44-444004-44-4-4-44-44-400000000000000000000000000022−2200000000000000000000022−2200000000
χ524-44-444004-44-4-4-44-44-4000000000000000000000000000−2222000000000000000000000−222200000000
χ534-44-4-2400-2-44-422-22-2200000000000i6−i600i6i6−i6−i60000000022−22−2i32i30000000000000000000−2200000000
χ544-44-4-2400-2-44-422-22-2200000000000i6−i600i6i6−i6−i600000000−22222i3−2i300000000000000000002−200000000
χ554-44-4-2400-2-44-422-22-2200000000000−i6i600−i6−i6i6i60000000022−222i3−2i30000000000000000000−2200000000
χ564-44-4-2400-2-44-422-22-2200000000000−i6i600−i6−i6i6i600000000−2222−2i32i300000000000000000002−200000000
χ574-4-44444-4-4-4-44-444-4-44-4-44400000-440000000000000000000000000000000000000000000000000
χ584-4-444-24-4-422-2-44-222-22-4-24000002-200−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000
χ594-4-444-24-4-422-2-44-222-22-4-24000002-2002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000
χ604-4-444-2-44-422-2-44-222-2-242-400000-22000000000000004i−4i000000000000000000000−2i2i0000000000
χ614-4-444-2-44-422-2-44-222-2-242-400000-2200000000000000−4i4i0000000000000000000002i−2i0000000000
χ624-4-44-244-42-4-442-2-222-2-424-2000−2i32i32-200000000000000000000000−2i32i3000000000000000000000000
χ634-4-44-244-42-4-442-2-222-2-424-20002i3−2i32-2000000000000000000000002i3−2i3000000000000000000000000
χ644-4-44-24-442-4-442-2-222-24-2-4200000-220000000004i−4i00000000000000000000000−2i2i0000000000000
χ654-4-44-24-442-4-442-2-222-24-2-4200000-22000000000−4i4i000000000000000000000002i−2i0000000000000
χ664-4-44-2-24-4222-22-21-1-1122-2-2000−2i32i3-1100−2i32i3i3−i3i3−i3000000000000000i3−i33-30000000000000000000000
χ674-4-44-2-24-4222-22-21-1-1122-2-2000−2i32i3-11002i3−2i3−i3i3−i3i3000000000000000i3−i3-330000000000000000000000
χ684-4-44-2-24-4222-22-21-1-1122-2-20002i3−2i3-1100−2i32i3i3−i3i3−i3000000000000000−i3i3-330000000000000000000000
χ694-4-44-2-24-4222-22-21-1-1122-2-20002i3−2i3-11002i3−2i3−i3i3−i3i3000000000000000−i3i33-30000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-400-8-4448-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-480048-8-8-44-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-444-4422-2-200000000000000032−32−323200000000000000000000000000000000000000000
χ7488-8-8-4-4004-444-4422-2-2000000000000000−323232−3200000000000000000000000000000000000000000
χ758-88-88-40084-44-8-8-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-44-44442-22-2000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000000
χ778-88-8-4-400-44-44442-22-200000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000000
χ788-8-88-4-4-88444-44-42-2-22-4-444000002-20000000000000000000000000000000000000000000000000

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