Finite Group Databasebeta

← Group #11889296

Character table — Group #11889296

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212448121212122424242424242424244444888812121212121212121244244612121212242424242226121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-11-111-1-1-1-11111111-1-1-11111-1-1-111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111-1111-11-1-111111111111-1-11-1-1-1-1111-1-111-1-1-11-1-1-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-1-1111111-1-1-1-11-1-1-11-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-1-11-111-1-1-1-11-1111-1-1-1-1-111-11111-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1111-1-111-11-111-1-1-1-1-11-1-1-111111-1-1-111-1-11-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-11111-1-1-1-1-1-111111-1-11-111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-111-1-11-11-1-111-1-1-11-11111-1-1-111-1-1-1-1-1111
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-11-1-1111111-111-1-11-1-1-1-11111-11-1-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-11-1-11111-1-11-1-111-11111111-11-1-1-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111-11-1-111-1-11-11-1-1-1-1111-1-1-1-1-111-111
χ131111111111111111111111-1-11-1-11111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-1111-1-11-1
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
χ161111111111111111111111-1-11-1-11111111111-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-111-1111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000002002-2-20000-2-20000000220002-20020000-20000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000200-2-220000220000000-2-20002-200-2000020000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-20022-20000-2-20000000-2-2000-22002000020000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-200-222000022000000022000-2200-20000-20000000
χ2122222-122-1-1222-1-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-10222020022-1-1-122-1-1-1-10020000-1-1-100-1-1000-10000
χ2222222-122-1-1222-1-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-10-2-2-20-200-2-211-122-1-1-1-100-20000111001100010000
χ2322222-122-1-1222-1-1-1-1-1-12-122-2-2-1-1-1-1-2-211111102220200-2-2-1-112-2-1-11100-20000-1-1-1001100010000
χ2422222-122-1-1222-1-1-1-1-1-12-122-2-2-1-1-1-1-2-21111110-2-2-20-200221112-2-1-111002000011100-1-1000-10000
χ2522222-122-1-1222-1-1-1-1-1-12-12-22-211-1-1-2-2111111022-20-2002211-1-2211-1-100-20000-1-1100-1-100010000
χ2622222-122-1-1222-1-1-1-1-1-12-12-22-211-1-1-2-21111110-2-220200-2-2-1-1-1-2211-1-1002000011-10011000-10000
χ2722222-122-1-1222-1-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-1022-20-200-2-2111-2-211110020000-1-110011000-10000
χ2822222-122-1-1222-1-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-10-2-22020022-1-11-2-2111100-2000011-100-1-100010000
χ292222-122222-1-1-12-1-1-1-12-12-122222-1-1-1-122-1-1-1-12000202200002-1-1-1-1-1-100022-1-1000-1-1000000-1-100
χ302222-122222-1-1-12-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-2000-20-2-200002-1-1-1-1-1-1000-2-211000110000001100
χ312222-122222-1-1-12-1-1-1-12-12-12-2-222-1-111-2-21111200020-2-20000-2-11-1-111000-22-1-100011000000-1100
χ322222-122222-1-1-12-1-1-1-12-12-12-2-222-1-111-2-21111-2000-20220000-2-11-1-1110002-211000-1-10000001-100
χ332222-122222-1-1-12-1-1-1-12-12-1-22-2-2-2-1-111-2-21111200020-2-2000021-111-1-10002-2-1-1000110000001-100
χ342222-122222-1-1-12-1-1-1-12-12-1-22-2-2-2-1-111-2-21111-2000-2022000021-111-1-1000-2211000-1-1000000-1100
χ352222-122222-1-1-12-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-1200020220000-2111111000-2-2-1-1000-1-10000001100
χ362222-122222-1-1-12-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-1-2000-20-2-20000-2111111000221100011000000-1-100
χ372-22-222-22-22-2-22-22-2-2222-2-2000002-20000000002i−2i0002i−2i0000000000000000002i−2i02i−2i0002-200000
χ382-22-222-22-22-2-22-22-2-2222-2-2000002-20000000002i−2i000−2i2i0000000000000000002i−2i0−2i2i000-2200000
χ392-22-222-22-22-2-22-22-2-2222-2-2000002-2000000000−2i2i0002i−2i000000000000000000−2i2i02i−2i000-2200000
χ402-22-222-22-22-2-22-22-2-2222-2-2000002-2000000000−2i2i000−2i2i000000000000000000−2i2i0−2i2i0002-200000
χ4144444-2-4-4-2-2444-2-2-2-2-22-42-400000220000000000040-40000220000000000000000-2000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-22-42-4000002200000000000-4040000-2-200000000000000002000000000000
χ434444-24-4-444-2-2-24-2-2-2-2-42-420000022000000004000-40000000000000000000-22000000000000000
χ444444-24-4-444-2-2-24-2-2-2-2-42-42000002200000000-4000400000000000000000002-2000000000000000
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
χ4944-4-44400-4-44-4-4444-4-4000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ5044-4-44400-4-44-4-4444-4-40000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ5144-4-44-200224-4-4-2-2-2220000000000000i6−i6i6i6−i6−i600000000−2i22i223−230000000000000000000i2−i200000000
χ5244-4-44-200224-4-4-2-2-2220000000000000i6−i6i6i6−i6−i6000000002i2−2i2−23230000000000000000000−i2i200000000
χ5344-4-44-200224-4-4-2-2-2220000000000000−i6i6−i6−i6i6i600000000−2i22i2−23230000000000000000000i2−i200000000
χ5444-4-44-200224-4-4-2-2-2220000000000000−i6i6−i6−i6i6i6000000002i2−2i223−230000000000000000000−i2i200000000
χ554-44-4444-4-44-4-44-44-4-44-4-44400000-440000000000000000000000000000000000000000000000000
χ564-44-44-24-42-2-4-442-222-22-4-24000−2i32i32-200000000000000000000000−2i32i3000000000000000000000000
χ574-44-44-24-42-2-4-442-222-22-4-240002i3−2i32-2000000000000000000000002i3−2i3000000000000000000000000
χ584-44-44-2-442-2-4-442-222-2-242-400000-220000000004i−4i00000000000000000000000−2i2i0000000000000
χ594-44-44-2-442-2-4-442-222-2-242-400000-22000000000−4i4i000000000000000000000002i−2i0000000000000
χ604-44-4-244-4-4422-2-4-222-2-424-2000002-2−2i32i300−2i32i3−2i32i300000000000000000000000000000000000000000
χ614-44-4-244-4-4422-2-4-222-2-424-2000002-22i3−2i3002i3−2i32i3−2i300000000000000000000000000000000000000000
χ624-44-4-24-44-4422-2-4-222-24-2-4200000-22000000000000004i−4i000000000000000000000−2i2i0000000000
χ634-44-4-24-44-4422-2-4-222-24-2-4200000-2200000000000000−4i4i0000000000000000000002i−2i0000000000
χ644-44-4-2-24-42-222-221-1-1122-2-2000−2i32i3-11−2i32i300i3−i3i3−i3000000000000000i3−i33-30000000000000000000000
χ654-44-4-2-24-42-222-221-1-1122-2-2000−2i32i3-112i3−2i300−i3i3−i3i3000000000000000i3−i3-330000000000000000000000
χ664-44-4-2-24-42-222-221-1-1122-2-20002i3−2i3-11−2i32i300i3−i3i3−i3000000000000000−i3i3-330000000000000000000000
χ674-44-4-2-24-42-222-221-1-1122-2-20002i3−2i3-112i3−2i300−i3i3−i3i3000000000000000−i3i33-30000000000000000000000
χ684-4-4444004-4-44-4-44-44-4000000000000000000000000000000000000004i−4i00000000000000000000
χ694-4-4444004-4-44-4-44-44-400000000000000000000000000000000000000−4i4i00000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4800-8-8-4448-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-40044-444-422-2-200000000000002i6−2i6−i6−i6i6i600000000000000000000000000000000000000000
χ7388-8-8-4-40044-444-422-2-20000000000000−2i62i6i6i6−i6−i600000000000000000000000000000000000000000
χ748-88-8-4-4-884-444-442-2-22-4-444000002-20000000000000000000000000000000000000000000000000
χ758-8-888-400-44-88-84-44-44000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48008-84-44-8-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-444-4442-22-200000000000000032−32−323200000000000000000000000000000000000000000
χ788-8-88-4-400-444-4442-22-2000000000000000−323232−3200000000000000000000000000000000000000000

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