Finite Group Databasebeta

← Group #11884336

Character table — Group #11884336

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order122233446666663666121212124481212121224242424242424242224448888121212121212121212442446661212242424242226121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1111-1-1111111111-1-1-11-1111-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111-1-1-111-1-1-111-1-11111111-1-11-11-1-1-111-1-111-1-1-11-11-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-1-1111111-1-1-1-11-1-1-1-111-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-11111-11-111-1-1-1-11-1-1111-1-1-1-111-1111-1-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11-111-1-1-1-1-111-1-1-11111-1-1-111-111-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-11111-1-1-1-1-1-111111-1-111-11-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1-1-11-11-1-111-1-11-1-111-11111-1-1-1-1-11-1-111
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-11111-1-1111-1-1-11111111-1-11-1-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-1111111-1-1-1111-1-1-1-111111-1-1-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111-11-1-111-1-1-111-1-11-1-1-1-111-1-1-1-11111
χ131111111111111111111111-1-11-1-1111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-111-11-11-1
χ141111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11-1-1111-11
χ151111111111111111111111-1-11-1-11111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11
χ161111111111111111111111-1-11-1-11111111111-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11-11-1-11-1-111-1-1-1111-111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000000022-2-20000-2-20000000220000022-20000-20000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000002-22-20000-2-20000000-2-2000002-22000020000000
χ19222222-2-22222222222-2-2-2-200000-2-20000000000-22-220000220000000-2-200000-22-2000020000000
χ20222222-2-22222222222-2-2-2-200000-2-20000000000-2-22200002200000002200000-2-220000-20000000
χ2122222-122-122-1-12-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-12220022200-1-1-122-1-1-1-100020-1-1-100-1-1000000-1000
χ2222222-122-122-1-12-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-1-2-2-200-2-2-20011-122-1-1-1-1000-2011100110000001000
χ2322222-122-122-1-12-1-1-1-1-12-122-2-2-1-1-1-1-2-2111111222002-2-200-1-112-2-1-111000-20-1-1-100110000001000
χ2422222-122-122-1-12-1-1-1-1-12-122-2-2-1-1-1-1-2-2111111-2-2-200-222001112-2-1-1110002011100-1-1000000-1000
χ2522222-122-122-1-12-1-1-1-1-12-12-22-211-1-1-2-211111122-200-2220011-1-2211-1-1000-20-1-1100-1-10000001000
χ2622222-122-122-1-12-1-1-1-1-12-12-22-211-1-1-2-2111111-2-22002-2-200-1-1-1-2211-1-10002011-10011000000-1000
χ2722222-122-122-1-12-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-122-200-2-2-200111-2-2111100020-1-110011000000-1000
χ2822222-122-122-1-12-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-1-2-220022200-1-11-2-21111000-2011-100-1-10000001000
χ292222-12222-1-122-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-10002200022002-1-1-1-1-1-100202000-1-100-1-1000-10-100
χ302222-12222-1-122-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1000-2-2000-2-2002-1-1-1-1-1-100-20-200011001100010100
χ312222-12222-1-122-1-1-1-1-12-12-12-2-222-1-111-2-2111100022000-2-200-2-11-1-11100-202000-1-1001100010-100
χ322222-12222-1-122-1-1-1-1-12-12-12-2-222-1-111-2-21111000-2-20002200-2-11-1-1110020-20001100-1-1000-10100
χ332222-12222-1-122-1-1-1-1-12-12-1-22-2-2-2-1-111-2-2111100022000-2-20021-111-1-10020-2000-1-10011000-10100
χ342222-12222-1-122-1-1-1-1-12-12-1-22-2-2-2-1-111-2-21111000-2-2000220021-111-1-100-2020001100-1-100010-100
χ352222-12222-1-122-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-1000220002200-211111100-20-2000-1-100-1-100010100
χ362222-12222-1-122-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-1000-2-2000-2-200-211111100202000110011000-10-100
χ372-2-2222-22-2-2-2-2222-2-22-2-222000002-2000000002-20000002-2000000000000002-2000002-202-200000
χ382-2-2222-22-2-2-2-2222-2-22-2-222000002-2000000002-2000000-22000000000000002-200000-220-2200000
χ392-2-2222-22-2-2-2-2222-2-22-2-222000002-200000000-220000002-200000000000000-22000002-20-2200000
χ402-2-2222-22-2-2-2-2222-2-22-2-222000002-200000000-22000000-2200000000000000-2200000-2202-200000
χ4144444-2-4-4-244-2-24-2-2-2-22-42-400000220000000000400-400002200000000000000-200000000000000
χ4244444-2-4-4-244-2-24-2-2-2-22-42-400000220000000000-40040000-2-200000000000000200000000000000
χ434444-24-4-44-2-244-2-2-2-2-2-42-420000022000000000004-40000000000000000000000-22000000000000
χ444444-24-4-44-2-244-2-2-2-2-2-42-42000002200000000000-4400000000000000000000002-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-10000000000002-2211-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-1000000000000-22-2-1-1110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-44400-44-44-4-444-4-40000000000000000000000000−2i22i2000000000000000000000−2i22i20000000000
χ5044-4-44400-44-44-4-444-4-400000000000000000000000002i2−2i20000000000000000000002i2−2i20000000000
χ5144-4-44-20024-4-22-4-2-2220000000000000i6−i6i6i6−i6−i6000000−2i22i20023−2300000000000000000i2−i20000000000
χ5244-4-44-20024-4-22-4-2-2220000000000000i6−i6i6i6−i6−i60000002i2−2i200−232300000000000000000−i2i20000000000
χ5344-4-44-20024-4-22-4-2-2220000000000000−i6i6−i6−i6i6i6000000−2i22i200−232300000000000000000i2−i20000000000
χ5444-4-44-20024-4-22-4-2-2220000000000000−i6i6−i6−i6i6i60000002i2−2i20023−2300000000000000000−i2i20000000000
χ554-44-444004-44-4-4-44-44-4000000000000000000000000000000000000004i−4i00000000000000000000
χ564-44-444004-44-4-4-44-44-400000000000000000000000000000000000000−4i4i00000000000000000000
χ574-4-44444-4-4-4-4-4444-4-4444-4-400000-440000000000000000000000000000000000000000000000000
χ584-4-444-24-42-4-42-24-222-2-242-4000−2i32i32-200000000000000000000000−2i32i3000000000000000000000000
χ594-4-444-24-42-4-42-24-222-2-242-40002i3−2i32-2000000000000000000000002i3−2i3000000000000000000000000
χ604-4-444-2-442-4-42-24-222-22-4-2400000-22000000004-40000000000000000000000-22000000000000000
χ614-4-444-2-442-4-42-24-222-22-4-2400000-2200000000-4400000000000000000000002-2000000000000000
χ624-4-44-244-4-422-44-2-222-24-2-42000002-2−2i32i300−2i32i3−2i32i300000000000000000000000000000000000000000
χ634-4-44-244-4-422-44-2-222-24-2-42000002-22i3−2i3002i3−2i32i3−2i300000000000000000000000000000000000000000
χ644-4-44-24-44-422-44-2-222-2-424-200000-2200000000000000004-4000000000000000000000-2200000000
χ654-4-44-24-44-422-44-2-222-2-424-200000-220000000000000000-440000000000000000000002-200000000
χ664-4-44-2-24-42222-2-21-1-11-2-222000−2i32i3-11−2i32i300i3−i3i3−i3000000000000000i3−i33-30000000000000000000000
χ674-4-44-2-24-42222-2-21-1-11-2-222000−2i32i3-112i3−2i300−i3i3−i3i3000000000000000i3−i3-330000000000000000000000
χ684-4-44-2-24-42222-2-21-1-11-2-2220002i3−2i3-11−2i32i300i3−i3i3−i3000000000000000−i3i3-330000000000000000000000
χ694-4-44-2-24-42222-2-21-1-11-2-2220002i3−2i3-112i3−2i300−i3i3−i3i3000000000000000−i3i33-30000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4800-8-448-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-44-44422-2-200000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000
χ7388-8-8-4-4004-44-44422-2-20000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000
χ748-88-88-400-4-8844-8-44-44000000000000000000000000000000000000000000000000000000000000
χ758-88-8-480084-4-8-84-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-44-44442-22-200000000000000032−32−323200000000000000000000000000000000000000000
χ778-88-8-4-400-44-44442-22-2000000000000000−323232−3200000000000000000000000000000000000000000
χ788-8-88-4-4-884444-4-42-2-2244-4-4000002-20000000000000000000000000000000000000000000000000

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