Finite Group Databasebeta

← Group #64337

Character table — Group #64337

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size112224444666688888811222444466668888881122244446666888888
order12224336624446666121236661233666121212666612123666123366612121266661212
χ1111111111111111111111111111111111111111111111111111111111
χ211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ311111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ4111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1111-1-11111-111-11-11-1-1-1
χ5111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32
χ6111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32
χ711-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-111-11-11111-11-11-11-11-1-1
χ811-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i3211-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i32
χ911-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i3211-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i32
χ1011-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-111
χ1111-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i3211-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32
χ1211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i3211-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32
χ13333330000-1-1-1-1000000333330000-1-1-1-1000000333330000-1-1-1-1000000
χ14333-3-300001-1-11000000333-3-300001-1-11000000333-3-300001-1-11000000
χ1533-33-300001-11-100000033-33-300001-11-100000033-33-300001-11-1000000
χ1633-3-330000-1-11100000033-3-330000-1-11100000033-3-330000-1-111000000
χ174-4000-2-22200000000004-4000-2-22200000000004-4000-2-2220000000000
χ184-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i300000000004-40001−i31+i3−1+i3−1−i30000000000
χ194-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i300000000004-40001+i31−i3−1−i3−1+i30000000000
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
χ2111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i321−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i321−1+i32
χ2211111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i321
χ23111-1-11111-111-11-11-1-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32
χ24111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32−1+i32−1+i32−1+i321−i321−i32−1−i321−1−i3211−i32−1+i32−1+i321−i32−1−i321+i321-11+i32-1−1−i32−1−i32−1−i321+i321+i321−1+i321−1+i321+i32−1−i32−1−i321+i321-1−1+i321−i32-11−i32
χ25111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32−1+i32−1+i32−1+i321−i321−i321−1−i321−1−i321−i32−1+i32−1+i321−i321-1−1−i321+i32-11+i32−1−i32−1−i32−1−i321+i321+i32−1+i321−1+i3211+i32−1−i32−1−i321+i32−1+i321−i321-11−i32-1
χ2611-11-11111-11-11-11-11-1-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32
χ2711-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i32−1+i32−1+i321−i32−1+i321−i32−1−i321−1−i3211−i32−1+i321−i32−1+i321+i32−1−i32-111+i32-1−1−i32−1−i321+i32−1−i321+i321−1+i321−1+i321+i32−1−i321+i32−1−i32-111−i32−1+i32-11−i32
χ2811-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i32−1+i32−1+i321−i32−1+i321−i321−1−i321−1−i321−i32−1+i321−i32−1+i32-111+i32−1−i32-11+i32−1−i32−1−i321+i32−1−i321+i32−1+i321−1+i3211+i32−1−i321+i32−1−i321−i32−1+i32-111−i32-1
χ2911-1-11111111-1-1-1-1-1-111−1+i32−1+i321−i321−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+i321+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
χ3011-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i321+i321+i32-1-1−1−i321−1−i32−1−i321+i321+i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321+i32-1-11−i321−i321−1+i32
χ3111-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−i32-1-11+i321+i321−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i321−i321−i32-1-1−1+i321
χ32333330000-1-1-1-1000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i3200001−i321−i321−i321−i32000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i3200001+i321+i321+i321+i32000000
χ33333-3-300001-1-11000000−3+3i32−3+3i32−3+3i323−3i323−3i320000−1+i321−i321−i32−1+i32000000−3−3i32−3−3i32−3−3i323+3i323+3i320000−1−i321+i321+i32−1−i32000000
χ3433-33-300001-11-1000000−3+3i32−3+3i323−3i32−3+3i323−3i320000−1+i321−i32−1+i321−i32000000−3−3i32−3−3i323+3i32−3−3i323+3i320000−1−i321+i32−1−i321+i32000000
χ3533-3-330000-1-111000000−3+3i32−3+3i323−3i323−3i32−3+3i3200001−i321−i32−1+i32−1+i32000000−3−3i32−3−3i323+3i323+3i32−3−3i3200001+i321+i32−1−i32−1−i32000000
χ364-4000-2-2220000000000−2+2i32−2i30001−i31−i3−1+i3−1+i30000000000−2−2i32+2i30001+i31+i3−1−i3−1−i30000000000
χ374-40001−i31+i3−1+i3−1−i30000000000−2+2i32−2i30001+i3-2−1−i320000000000−2−2i32+2i3000-21−i32−1+i30000000000
χ384-40001+i31−i3−1−i3−1+i30000000000−2+2i32−2i3000-21+i32−1−i30000000000−2−2i32+2i30001−i3-2−1+i320000000000
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
χ4011111−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i321
χ4111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i321−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i321−1−i32
χ42111-1-11111-111-11-11-1-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32
χ43111-1-1−1+i32−1−i32−1+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i321+i32−1−i32−1−i32−1−i321+i321+i321−1+i321−1+i321+i32−1−i32−1−i321+i321-1−1+i321−i32-11−i32−1+i32−1+i32−1+i321−i321−i32−1−i321−1−i3211−i32−1+i32−1+i321−i32−1−i321+i321-11+i32-1
χ44111-1-1−1−i32−1+i32−1−i32−1+i32-111-1−1−i321+i32−1+i321−i321+i321−i32−1−i32−1−i32−1−i321+i321+i32−1+i321−1+i3211+i32−1−i32−1−i321+i32−1+i321−i321-11−i32-1−1+i32−1+i32−1+i321−i321−i321−1−i321−1−i321−i32−1+i32−1+i321−i321-1−1−i321+i32-11+i32
χ4511-11-11111-11-11-11-11-1-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32
χ4611-11-1−1+i32−1−i32−1+i32−1−i32-11-111−i32−1+i321+i32−1−i321−i321+i32−1−i32−1−i321+i32−1−i321+i321−1+i321−1+i321+i32−1−i321+i32−1−i32-111−i32−1+i32-11−i32−1+i32−1+i321−i32−1+i321−i32−1−i321−1−i3211−i32−1+i321−i32−1+i321+i32−1−i32-111+i32-1
χ4711-11-1−1−i32−1+i32−1−i32−1+i32-11-111+i32−1−i321−i32−1+i321+i321−i32−1−i32−1−i321+i32−1−i321+i32−1+i321−1+i3211+i32−1−i321+i32−1−i321−i32−1+i32-111−i32-1−1+i32−1+i321−i32−1+i321−i321−1−i321−1−i321−i32−1+i321−i32−1+i32-111+i32−1−i32-11+i32
χ4811-1-11111111-1-1-1-1-1-111−1−i32−1−i321+i321+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−i321−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
χ4911-1-11−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321+i32-1-11−i321−i321−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i321+i321+i32-1-1−1−i321
χ5011-1-11−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i321−i321−i32-1-1−1+i321−1+i32−1+i321−i321−i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−i32-1-11+i321+i321−1−i32
χ51333330000-1-1-1-1000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i3200001+i321+i321+i321+i32000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i3200001−i321−i321−i321−i32000000
χ52333-3-300001-1-11000000−3−3i32−3−3i32−3−3i323+3i323+3i320000−1−i321+i321+i32−1−i32000000−3+3i32−3+3i32−3+3i323−3i323−3i320000−1+i321−i321−i32−1+i32000000
χ5333-33-300001-11-1000000−3−3i32−3−3i323+3i32−3−3i323+3i320000−1−i321+i32−1−i321+i32000000−3+3i32−3+3i323−3i32−3+3i323−3i320000−1+i321−i32−1+i321−i32000000
χ5433-3-330000-1-111000000−3−3i32−3−3i323+3i323+3i32−3−3i3200001+i321+i32−1−i32−1−i32000000−3+3i32−3+3i323−3i323−3i32−3+3i3200001−i321−i32−1+i32−1+i32000000
χ554-4000-2-2220000000000−2−2i32+2i30001+i31+i3−1−i3−1−i30000000000−2+2i32−2i30001−i31−i3−1+i3−1+i30000000000
χ564-40001−i31+i3−1+i3−1−i30000000000−2−2i32+2i3000-21−i32−1+i30000000000−2+2i32−2i30001+i3-2−1−i320000000000
χ574-40001+i31−i3−1−i3−1+i30000000000−2−2i32+2i30001−i3-2−1+i320000000000−2+2i32−2i3000-21+i32−1−i30000000000

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