Finite Group Databasebeta

← Group #11798810

Character table — Group #11798810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222444444444444444488888888888888881212121212121212121212121616161616242424242424242424242424484848144144
order12233666634444466661212121212124121212121212121212121212121212444412121212121212121212121212222466666612128242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-11111111-1-1-1-111-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-11-1111111-1-111-1-1-11-1
χ61111111111-1-11111111-1-1-1-111-1111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1111-11
χ71111111111-1-11111111-1-1-1-111-1111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-111111-1-11111-1-1-1-11
χ81111111111-1-11111111-1-1-1-111-1111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-11-1-1-1-1-1-111-1-11111-1
χ9222222222200-22-222220000-2-202-2-2002-2000000-2-200220000222202-2000-2000000-2-20000000
χ10222222222200-22-222220000-2-202-2-2002-2000000-2-200-2-20000-2-2-2-202-20002000000220000000
χ11222222222200-2-2222220000-2-20-22-200-22000000-2-22200222200000-2200-200000-2-2000000000
χ12222222222200-2-2222220000-2-20-22-200-22000000-2-2-2-200-2-2-2-200000-220020000022000000000
χ132222222222222-2-22222222222-2-2-22-2-2-2-222222222000000000000-2-2-2-2-200000000000000000
χ142222222222-2-22-2-22222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-2220000000000002-2-22200000000000000000
χ152222-1-1-1-12-100-22-22-1-1-1−i3−i3i3i3-2-20-111−i3i32-200−i3−i3i3i3110022−i3−i3i3i3-1-1-1-10-11−i3i30-20000−i3i3110000000
χ162222-1-1-1-12-100-22-22-1-1-1−i3−i3i3i3-2-20-111−i3i32-200−i3−i3i3i31100-2-2i3i3−i3−i311110-11−i3i3020000i3−i3-1-10000000
χ172222-1-1-1-12-100-22-22-1-1-1i3i3−i3−i3-2-20-111i3−i32-200i3i3−i3−i3110022i3i3−i3−i3-1-1-1-10-11i3−i30-20000i3−i3110000000
χ182222-1-1-1-12-100-22-22-1-1-1i3i3−i3−i3-2-20-111i3−i32-200i3i3−i3−i31100-2-2−i3−i3i3i311110-11i3−i3020000−i3i3-1-10000000
χ192222-1-1-1-12-100-2-222-1-1-1−i3−i3i3i3-2-201-11i3−i3-2200−i3−i3i3i3112200-1-1-1-1−i3−i3i3i301-1i3−i3-20000011−i3i30000000
χ202222-1-1-1-12-100-2-222-1-1-1−i3−i3i3i3-2-201-11i3−i3-2200−i3−i3i3i311-2-2001111i3i3−i3−i301-1i3−i3200000-1-1i3−i30000000
χ212222-1-1-1-12-100-2-222-1-1-1i3i3−i3−i3-2-201-11−i3i3-2200i3i3−i3−i3112200-1-1-1-1i3i3−i3−i301-1−i3i3-20000011i3−i30000000
χ222222-1-1-1-12-100-2-222-1-1-1i3i3−i3−i3-2-201-11−i3i3-2200i3i3−i3−i311-2-2001111−i3−i3i3i301-1−i3i3200000-1-1−i3i30000000
χ232222-1-1-1-12-1222222-1-1-1-1-1-1-1222-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1220000-1-1-1-10000000
χ242222-1-1-1-12-1222222-1-1-1-1-1-1-1222-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-2000011110000000
χ252222-1-1-1-12-1222-2-22-1-1-1-1-1-1-122-211-111-2-222-1-1-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-21111000000i3−i3i3−i30000000
χ262222-1-1-1-12-1222-2-22-1-1-1-1-1-1-122-211-111-2-222-1-1-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-21111000000−i3i3−i3i30000000
χ272222-1-1-1-12-1-2-22222-1-1-1111122-2-1-1-11122-2-21111-1-122-2-2-1-1-1-11111-2-1-1112-20000-1-1110000000
χ282222-1-1-1-12-1-2-22222-1-1-1111122-2-1-1-11122-2-21111-1-1-2-2221111-1-1-1-1-2-1-111-22000011-1-10000000
χ292222-1-1-1-12-1-2-22-2-22-1-1-1111122211-1-1-1-2-2-2-21111-1-10000−i3−i3i3i3i3i3−i3−i3211-1-1000000i3−i3−i3i30000000
χ302222-1-1-1-12-1-2-22-2-22-1-1-1111122211-1-1-1-2-2-2-21111-1-10000i3i3−i3−i3−i3−i3i3i3211-1-1000000−i3i3i3−i30000000
χ31222-12222-1-122222-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-10022-1-10000-1-12-1-100
χ32222-12222-1-122222-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-100-2-211000011-21100
χ33222-12222-1-1222-2-2-1-1-1-12222-1-1-2-2-22-2-211-1-1-1-1-1-1-1-1000000000000111110000−i3i30000−i3i30−i3i300
χ34222-12222-1-1222-2-2-1-1-1-12222-1-1-2-2-22-2-211-1-1-1-1-1-1-1-1000000000000111110000i3−i30000i3−i30i3−i300
χ35222-12222-1-1-2-2222-1-1-1-1-2-2-2-2-1-1-2222-2-2-1-1111111-1-10000000000001-1-1110022-1-10000-1-1-21100
χ36222-12222-1-1-2-2222-1-1-1-1-2-2-2-2-1-1-2222-2-2-1-1111111-1-10000000000001-1-11100-2-2110000112-1-100
χ37222-12222-1-1-2-22-2-2-1-1-1-1-2-2-2-2-1-12-2-222211111111-1-1000000000000-111-1-10000−i3i30000−i3i30i3−i300
χ38222-12222-1-1-2-22-2-2-1-1-1-1-2-2-2-2-1-12-2-222211111111-1-1000000000000-111-1-10000i3−i30000i3−i30−i3i300
χ39444-24444-2-200-44-4-2-2-2-200002204-4-400-22000000220000000000000-220000000000000000000
χ40444-24444-2-200-4-44-2-2-2-20000220-44-4002-20000002200000000000002-20000000000000000000
χ41444-2-2-2-2-2-2100-44-4-2111−2i3−2i32i32i3220-222−2i32i3-2200i3i3−i3−i3-1-100000000000001-1i3−i300000000000000000
χ42444-2-2-2-2-2-2100-44-4-21112i32i3−2i3−2i3220-2222i3−2i3-2200−i3−i3i3i3-1-100000000000001-1−i3i300000000000000000
χ43444-2-2-2-2-2-2100-4-44-2111−2i3−2i32i32i32202-222i3−2i32-200i3i3−i3−i3-1-10000000000000-11−i3i300000000000000000
χ44444-2-2-2-2-2-2100-4-44-21112i32i3−2i3−2i32202-22−2i32i32-200−i3−i3i3i3-1-10000000000000-11i3−i300000000000000000
χ45444-2-2-2-2-2-2144444-2111-2-2-2-2-2-24-2-2-2-2-2-2-2-2-2111111000000000000-2111100000000000000000
χ46444-2-2-2-2-2-21444-4-4-2111-2-2-2-2-2-2-422-22222-2-21111110000000000002-1-1-1-100000000000000000
χ47444-2-2-2-2-2-21-4-4444-21112222-2-2-4-2-2-222-2-222-1-1-1-111000000000000211-1-100000000000000000
χ48444-2-2-2-2-2-21-4-44-4-4-21112222-2-2422-2-2-22222-1-1-1-111000000000000-2-1-11100000000000000000
χ4944-4444-4-44400000-4-4-44000000000000000000000000000000000000000002-2220000-2-200000
χ5044-4444-4-44400000-4-4-4400000000000000000000000000000000000000000-22-2-200002200000
χ5144-4-244-4-4-2-200000222-20000−2i32i300000000000000−2i32i300000000000000000002-2−1−i3−1+i300001+i31−i300000
χ5244-4-244-4-4-2-200000222-20000−2i32i300000000000000−2i32i30000000000000000000-221+i31−i30000−1−i3−1+i300000
χ5344-4-244-4-4-2-200000222-200002i3−2i3000000000000002i3−2i300000000000000000002-2−1+i3−1−i300001−i31+i300000
χ5444-4-244-4-4-2-200000222-200002i3−2i3000000000000002i3−2i30000000000000000000-221−i31+i30000−1+i3−1−i300000
χ554-4044-400-442-2000000-42-22-200000000002-22-22-2002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ564-4044-400-442-2000000-42-22-200000000002-22-22-200−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ574-4044-400-44-22000000-4-22-220000000000-22-22-22002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ584-4044-400-44-22000000-4-22-220000000000-22-22-2200−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ594-404-22−2i32i3-4-22-20000−2i32i32−1−i31+i3−1+i31−i300000000002-2−1−i31+i3−1+i31−i3002i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ604-404-22−2i32i3-4-22-20000−2i32i32−1−i31+i3−1+i31−i300000000002-2−1−i31+i3−1+i31−i300−2i2i−2i2i−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ614-404-22−2i32i3-4-2-220000−2i32i321+i3−1−i31−i3−1+i30000000000-221+i3−1−i31−i3−1+i3002i−2i−2i2i2ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ624-404-22−2i32i3-4-2-220000−2i32i321+i3−1−i31−i3−1+i30000000000-221+i3−1−i31−i3−1+i300−2i2i2i−2i−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ634-404-222i3−2i3-4-22-200002i3−2i32−1+i31−i3−1−i31+i300000000002-2−1+i31−i3−1−i31+i3002i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ644-404-222i3−2i3-4-22-200002i3−2i32−1+i31−i3−1−i31+i300000000002-2−1+i31−i3−1−i31+i300−2i2i−2i2i−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ654-404-222i3−2i3-4-2-2200002i3−2i321−i3−1+i31+i3−1−i30000000000-221−i3−1+i31+i3−1−i3002i−2i−2i2i2ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ664-404-222i3−2i3-4-2-2200002i3−2i321−i3−1+i31+i3−1−i30000000000-221−i3−1+i31+i3−1−i300−2i2i2i−2i−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ6788-88-4-4448-400000-844-400000000000000000000000000000000000000000000000000000000
χ6888-8-4-4-444-42000004-2-220000−4i34i3000000000000002i3−2i30000000000000000000000000000000000
χ6988-8-4-4-444-42000004-2-2200004i3−4i300000000000000−2i32i30000000000000000000000000000000000
χ708-80-48-8004-44-400000044-44-40000000000-22-22-22000000000000000000000000000000000000
χ718-80-48-8004-4-440000004-44-4400000000002-22-22-2000000000000000000000000000000000000
χ728-80-4-44−4i34i3424-400002i3−2i3-2−2−2i32+2i3−2+2i32−2i30000000000-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000
χ738-80-4-44−4i34i342-4400002i3−2i3-22+2i3−2−2i32−2i3−2+2i300000000002-2−1−i31+i3−1+i31−i3000000000000000000000000000000000000
χ748-80-4-444i3−4i3424-40000−2i32i3-2−2+2i32−2i3−2−2i32+2i30000000000-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000
χ758-80-4-444i3−4i342-440000−2i32i3-22−2i3−2+2i32+2i3−2−2i300000000002-2−1+i31−i3−1−i31+i3000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.