Finite Group Databasebeta

← Group #11923109

Character table — Group #11923109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111112121224242424242424323232324811111212122424242424242432323232481111121212242424242424243232323248
order122244428888883666236661212126242424242424366663666121212624242424242436666
χ1111111111111111111111111111111111111111111111111111111111
χ211111111-1-1-1-1-1-11111-111111111-1-1-1-1-1-11111-111111111-1-1-1-1-1-11111-1
χ322222222000000-1-1-1-1022222222000000-1-1-1-1022222222000000-1-1-1-10
χ433333-1-1-111-1-1-1-10000133333-1-1-111-1-1-1-10000133333-1-1-111-1-1-1-100001
χ533333-1-1-1-1-111110000-133333-1-1-1-1-111110000-133333-1-1-1-1-111110000-1
χ63333-13-1-11111-1-10000-13333-13-1-11111-1-10000-13333-13-1-11111-1-10000-1
χ73333-13-1-1-1-1-1-111000013333-13-1-1-1-1-1-111000013333-13-1-1-1-1-1-11100001
χ83333-1-13-111-1-1110000-13333-1-13-111-1-1110000-13333-1-13-111-1-1110000-1
χ93333-1-13-1-1-111-1-1000013333-1-13-1-1-111-1-1000013333-1-13-1-1-111-1-100001
χ1044-4-400002-2000011-1-1044-4-400002-2000011-1-1044-4-400002-2000011-1-10
χ1144-4-40000-22000011-1-1044-4-40000-22000011-1-1044-4-40000-22000011-1-10
χ124-44-4000000002-21-11-104-44-4000000002-21-11-104-44-4000000002-21-11-10
χ134-44-400000000-221-11-104-44-400000000-221-11-104-44-400000000-221-11-10
χ144-4-440000002-2001-1-1104-4-440000002-2001-1-1104-4-440000002-2001-1-110
χ154-4-44000000-22001-1-1104-4-44000000-22001-1-1104-4-44000000-22001-1-110
χ166666-2-2-22000000000006666-2-2-22000000000006666-2-2-2200000000000
χ1788-8-80000000000-1-111088-8-80000000000-1-111088-8-80000000000-1-1110
χ188-88-80000000000-11-1108-88-80000000000-11-1108-88-80000000000-11-110
χ198-8-880000000000-111-108-8-880000000000-111-108-8-880000000000-111-10
χ201111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2111111111-1-1-1-1-1-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ2222222222000000-1-1-1-10−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i321−i321−i320−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i321+i321+i320
χ2333333-1-1-111-1-1-1-100001−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i320000−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i320000−1−i32
χ2433333-1-1-1-1-111110000-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i32
χ253333-13-1-11111-1-10000-1−3+3i32−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i32−3−3i32−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i32
χ263333-13-1-1-1-1-1-11100001−3+3i32−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i320000−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i320000−1−i32
χ273333-1-13-111-1-1110000-1−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i32
χ283333-1-13-1-1-111-1-100001−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i321−i320000−1+i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i321+i320000−1−i32
χ2944-4-400002-2000011-1-10−2+2i3−2+2i32−2i32−2i30000−1+i31−i30000−1+i32−1+i321−i321−i320−2−2i3−2−2i32+2i32+2i30000−1−i31+i30000−1−i32−1−i321+i321+i320
χ3044-4-40000-22000011-1-10−2+2i3−2+2i32−2i32−2i300001−i3−1+i30000−1+i32−1+i321−i321−i320−2−2i3−2−2i32+2i32+2i300001+i3−1−i30000−1−i32−1−i321+i321+i320
χ314-44-4000000002-21-11-10−2+2i32−2i3−2+2i32−2i300000000−1+i31−i3−1+i321−i32−1+i321−i320−2−2i32+2i3−2−2i32+2i300000000−1−i31+i3−1−i321+i32−1−i321+i320
χ324-44-400000000-221-11-10−2+2i32−2i3−2+2i32−2i3000000001−i3−1+i3−1+i321−i32−1+i321−i320−2−2i32+2i3−2−2i32+2i3000000001+i3−1−i3−1−i321+i32−1−i321+i320
χ334-4-440000002-2001-1-110−2+2i32−2i32−2i3−2+2i3000000−1+i31−i300−1+i321−i321−i32−1+i320−2−2i32+2i32+2i3−2−2i3000000−1−i31+i300−1−i321+i321+i32−1−i320
χ344-4-44000000-22001-1-110−2+2i32−2i32−2i3−2+2i30000001−i3−1+i300−1+i321−i321−i32−1+i320−2−2i32+2i32+2i3−2−2i30000001+i3−1−i300−1−i321+i321+i32−1−i320
χ356666-2-2-2200000000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i3−1+i300000000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i3−1−i300000000000
χ3688-8-80000000000-1-1110−4+4i3−4+4i34−4i34−4i300000000001−i321−i32−1+i32−1+i320−4−4i3−4−4i34+4i34+4i300000000001+i321+i32−1−i32−1−i320
χ378-88-80000000000-11-110−4+4i34−4i3−4+4i34−4i300000000001−i32−1+i321−i32−1+i320−4−4i34+4i3−4−4i34+4i300000000001+i32−1−i321+i32−1−i320
χ388-8-880000000000-111-10−4+4i34−4i34−4i3−4+4i300000000001−i32−1+i32−1+i321−i320−4−4i34+4i34+4i3−4−4i300000000001+i32−1−i32−1−i321+i320
χ391111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4011111111-1-1-1-1-1-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ4122222222000000-1-1-1-10−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i321+i321+i321+i320−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i321−i321−i321−i320
χ4233333-1-1-111-1-1-1-100001−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i320000−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i320000−1+i32
χ4333333-1-1-1-1-111110000-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i32
χ443333-13-1-11111-1-10000-1−3−3i32−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i32−3+3i32−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i32
χ453333-13-1-1-1-1-1-11100001−3−3i32−3−3i32−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i320000−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i320000−1+i32
χ463333-1-13-111-1-1110000-1−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i32
χ473333-1-13-1-1-111-1-100001−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i321+i320000−1−i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i321−i320000−1+i32
χ4844-4-400002-2000011-1-10−2−2i3−2−2i32+2i32+2i30000−1−i31+i30000−1−i32−1−i321+i321+i320−2+2i3−2+2i32−2i32−2i30000−1+i31−i30000−1+i32−1+i321−i321−i320
χ4944-4-40000-22000011-1-10−2−2i3−2−2i32+2i32+2i300001+i3−1−i30000−1−i32−1−i321+i321+i320−2+2i3−2+2i32−2i32−2i300001−i3−1+i30000−1+i32−1+i321−i321−i320
χ504-44-4000000002-21-11-10−2−2i32+2i3−2−2i32+2i300000000−1−i31+i3−1−i321+i32−1−i321+i320−2+2i32−2i3−2+2i32−2i300000000−1+i31−i3−1+i321−i32−1+i321−i320
χ514-44-400000000-221-11-10−2−2i32+2i3−2−2i32+2i3000000001+i3−1−i3−1−i321+i32−1−i321+i320−2+2i32−2i3−2+2i32−2i3000000001−i3−1+i3−1+i321−i32−1+i321−i320
χ524-4-440000002-2001-1-110−2−2i32+2i32+2i3−2−2i3000000−1−i31+i300−1−i321+i321+i32−1−i320−2+2i32−2i32−2i3−2+2i3000000−1+i31−i300−1+i321−i321−i32−1+i320
χ534-4-44000000-22001-1-110−2−2i32+2i32+2i3−2−2i30000001+i3−1−i300−1−i321+i321+i32−1−i320−2+2i32−2i32−2i3−2+2i30000001−i3−1+i300−1+i321−i321−i32−1+i320
χ546666-2-2-2200000000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i31+i3−1−i300000000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i31−i3−1+i300000000000
χ5588-8-80000000000-1-1110−4−4i3−4−4i34+4i34+4i300000000001+i321+i32−1−i32−1−i320−4+4i3−4+4i34−4i34−4i300000000001−i321−i32−1+i32−1+i320
χ568-88-80000000000-11-110−4−4i34+4i3−4−4i34+4i300000000001+i32−1−i321+i32−1−i320−4+4i34−4i3−4+4i34−4i300000000001−i32−1+i321−i32−1+i320
χ578-8-880000000000-111-10−4−4i34+4i34+4i3−4−4i300000000001+i32−1−i32−1−i321+i320−4+4i34−4i34−4i3−4+4i300000000001−i32−1+i32−1+i321−i320

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