Finite Group Databasebeta

← Group #10593246

Character table — Group #10593246

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11114444444444444444666616161616161616161616161616161616242424242424242436
order122233336666666666664444333366666666666612121212121212124
χ11111111111111111111111111111111111111111111111111
χ2111111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211−1+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−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321
χ3111111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−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+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321
χ41111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32111111−1+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−i3211111
χ51111−1+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−i321111−1−i3211−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321
χ61111−1+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+i3211111−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321
χ71111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32111111−1−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+i3211111
χ81111−1−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−i3211111−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321
χ91111−1−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+i321111−1+i3211−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321
χ1022-2-222-1-12-22-21111-2-2-1-1002-2-1-1-1-111-111-111-111-100001-11-10
χ1122-2-2221−i321+i322-22-2−1+i32−1+i32−1−i32−1−i32-2-21−i321+i32002-21−i321−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i320000−1+i321−i32−1−i321+i320
χ1222-2-2221+i321−i322-22-2−1−i32−1−i32−1+i32−1+i32-2-21+i321−i32002-21+i321+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i320000−1−i321+i32−1+i321−i320
χ1322-2-2−1+i3−1−i3-1-1−1+i31−i3−1−i31+i311111−i31+i3-1-1002-21−i321+i321−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3200001-11-10
χ1422-2-2−1+i3−1−i31−i321+i32−1+i31−i3−1−i31+i3−1+i32−1+i32−1−i32−1−i321−i31+i31−i321+i32002-21+i32-1-11−i32−1−i32−1−i321+i3211-111-1−1+i32−1+i321−i320000−1+i321−i32−1−i321+i320
χ1522-2-2−1+i3−1−i31+i321−i32−1+i31−i3−1−i31+i3−1−i32−1−i32−1+i32−1+i321−i31+i31+i321−i32002-2-11−i321+i32-111-1−1+i32−1+i321−i32−1−i32−1−i321+i3211-10000−1−i321+i32−1+i321−i320
χ1622-2-2−1−i3−1+i3-1-1−1−i31+i3−1+i31−i311111+i31−i3-1-1002-21+i321−i321+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3200001-11-10
χ1722-2-2−1−i3−1+i31−i321+i32−1−i31+i3−1+i31−i3−1+i32−1+i32−1−i32−1−i321+i31−i31−i321+i32002-2-11+i321−i32-111-1−1−i32−1−i321+i32−1+i32−1+i321−i3211-10000−1+i321−i32−1−i321+i320
χ1822-2-2−1−i3−1+i31+i321−i32−1−i31+i3−1+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i31+i321−i32002-21−i32-1-11+i32−1+i32−1+i321−i3211-111-1−1−i32−1−i321+i320000−1−i321+i32−1+i321−i320
χ192-22-2-1-12211112-22-2-1-1-2-22-200-1-1-1-11-111-111-111-111-11-100000
χ202-22-2-1-1−1+i3−1−i31111−1+i31−i3−1−i31+i3-1-11−i31+i32-2001−i321−i321+i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i321-11-100000
χ212-22-2-1-1−1−i3−1+i31111−1−i31+i3−1+i31−i3-1-11+i31−i32-2001+i321+i321−i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i321-11-100000
χ222-22-21−i321+i3222−1+i32−1+i32−1−i32−1−i322-22-21−i321+i32-2-22-2001−i321+i321−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i3200000
χ232-22-21−i321+i32−1+i3−1−i3−1+i32−1+i32−1−i32−1−i32−1+i31−i3−1−i31+i31−i321+i321−i31+i32-2001+i32-1-11−i32−1−i321+i32−1−i321-111-11−1+i321−i32−1+i32−1+i321−i32−1−i321+i3200000
χ242-22-21−i321+i32−1−i3−1+i3−1+i32−1+i32−1−i32−1−i32−1−i31+i3−1+i31−i31−i321+i321+i31−i32-200-11−i321+i32-11-11−1+i321−i32−1+i32−1−i321+i32−1−i321-11−1+i321−i32−1−i321+i3200000
χ252-22-21+i321−i3222−1−i32−1−i32−1+i32−1+i322-22-21+i321−i32-2-22-2001+i321−i321+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i3200000
χ262-22-21+i321−i32−1+i3−1−i3−1−i32−1−i32−1+i32−1+i32−1+i31−i3−1−i31+i31+i321−i321−i31+i32-200-11+i321−i32-11-11−1−i321+i32−1−i32−1+i321−i32−1+i321-11−1−i321+i32−1+i321−i3200000
χ272-22-21+i321−i32−1−i3−1+i3−1−i32−1−i32−1+i32−1+i32−1−i31+i3−1+i31−i31+i321−i321+i31−i32-2001−i32-1-11+i32−1+i321−i32−1+i321-111-11−1−i321+i32−1−i32−1−i321+i32−1+i321−i3200000
χ283333003300003333003333-1-100000000000000000000-1-1-1-1-1
χ29333300−3+3i32−3−3i320000−3+3i32−3+3i32−3−3i32−3−3i3200−3+3i32−3−3i3233-1-1000000000000000000001−i321−i321+i321+i32-1
χ30333300−3−3i32−3+3i320000−3−3i32−3−3i32−3+3i32−3+3i3200−3−3i32−3+3i3233-1-1000000000000000000001+i321+i321−i321−i32-1
χ3133333300333300003300-1-1330000000000000000-1-1-1-10000-1
χ323333−3+3i32−3−3i3200−3+3i32−3+3i32−3−3i32−3−3i320000−3+3i32−3−3i3200-1-13300000000000000001−i321−i321+i321+i320000-1
χ333333−3−3i32−3+3i3200−3−3i32−3−3i32−3+3i32−3+3i320000−3−3i32−3+3i3200-1-13300000000000000001+i321+i321−i321−i320000-1
χ344-4-44-2-2-2-22-22-22-22-22222000011111-1-11-1-11-1-11-1-1000000000
χ354-4-44-2-21−i31+i32-22-2−1+i31−i3−1−i31+i322−1+i3−1−i30000−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32000000000
χ364-4-44-2-21+i31−i32-22-2−1−i31+i3−1+i31−i322−1−i3−1+i30000−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32000000000
χ374-4-441−i31+i3-2-2−1+i31−i3−1−i31+i32-22-2−1+i3−1−i3220000−1+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32000000000
χ384-4-441−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i3−1+i3−1−i30000−1−i3211−1+i32−1−i321+i321+i321-1-11-1-1−1+i321−i321−i32000000000
χ394-4-441−i31+i31+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i3−1−i3−1−i3−1+i300001−1+i32−1−i3211-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1000000000
χ404-4-441+i31−i3-2-2−1−i31+i3−1+i31−i32-22-2−1−i3−1+i3220000−1−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32000000000
χ414-4-441+i31−i31−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i3−1+i3−1+i3−1−i300001−1−i32−1+i3211-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1000000000
χ424-4-441+i31−i31+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i3−1−i3−1+i30000−1+i3211−1−i32−1+i321−i321−i321-1-11-1-1−1−i321+i321+i32000000000
χ4366-6-600-3-30000333300-3-300-2200000000000000000000-11-110
χ4466-6-6003−3i323+3i320000−3+3i32−3+3i32−3−3i32−3−3i32003−3i323+3i3200-22000000000000000000001−i32−1+i321+i32−1−i320
χ4566-6-6003+3i323−3i320000−3−3i32−3−3i32−3+3i32−3+3i32003+3i323−3i3200-22000000000000000000001+i32−1−i321−i32−1+i320
χ466-66-6-3-30033330000-3-300-22000000000000000000-11-1100000
χ476-66-63−3i323+3i3200−3+3i32−3+3i32−3−3i32−3−3i3200003−3i323+3i3200-220000000000000000001−i32−1+i321+i32−1−i3200000
χ486-66-63+3i323−3i3200−3−3i32−3−3i32−3+3i32−3+3i3200003+3i323−3i3200-220000000000000000001+i32−1−i321−i32−1+i3200000
χ4999990000000000000000-3-3-3-30000000000000000000000001

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