Finite Group Databasebeta

← Group #10590545

Character table — Group #10590545

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order1222334466666634466612121212121212124412121212121212121212121222466668812122424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-1-1-111111111-1-1-111-1
χ6111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1-11
χ7111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1111111-1-11111-1-1-1-1-11
χ8111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-111111-1
χ9222222-2-2222222200222-2-2-20000-222222200-2-2000000-2000000-2-20000000000
χ10222222-2-2222222200222-2-2-20000-2-2-2-2-2-2-200-2-20000002000000220000000000
χ1122222-1222-12-1-12-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-100-1-10000000000
χ1222222-1222-12-1-12-122-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2111100110000000000
χ1322222-1222-12-1-12-1-2-2-1-1-12-1-11111222-1-1-1-1-2-2-1-11111-2-22111100-1-10000000000
χ1422222-1222-12-1-12-1-2-2-1-1-12-1-111112-2-21111-2-2-1-1111122-2-1-1-1-100110000000000
χ1522222-1-2-22-12-1-12-100-1-1-1-211−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i300-2−i3−i3i3i300110000000000
χ1622222-1-2-22-12-1-12-100-1-1-1-211−i3−i3i3i3-2-2-211110011−i3−i3i3i3002i3i3−i3−i300-1-10000000000
χ1722222-1-2-22-12-1-12-100-1-1-1-211i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i300-2i3i3−i3−i300110000000000
χ1822222-1-2-22-12-1-12-100-1-1-1-211i3i3−i3−i3-2-2-211110011i3i3−i3−i3002−i3−i3i3i300-1-10000000000
χ192222-1222-12-122-1-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100000002200-1-1-1-12-1-1000
χ202222-1222-12-122-1-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-10000000-2-2001111-211000
χ212222-1222-12-122-1-1-2-2-1-1-1-122-2-2-2-2-100000011-1-1111100000002200-1-1-1-1-211000
χ222222-1222-12-122-1-1-2-2-1-1-1-122-2-2-2-2-100000011-1-111110000000-2-20011112-1-1000
χ2322-2-2222-222-2-2-2-2200-22-222-20000-2000000002-200002-202-22-200000000000000
χ2422-2-2222-222-2-2-2-2200-22-222-20000-2000000002-20000-220-22-2200000000000000
χ2522-2-222-2222-2-2-2-222i−2i-22-2-2-222i−2i2i−2i20000002i−2i-222i−2i2i−2i000000000000000000000
χ2622-2-222-2222-2-2-2-22−2i2i-22-2-2-22−2i2i−2i2i2000000−2i2i-22−2i2i−2i2i000000000000000000000
χ2722-2-22-12-22-1-211-2-1001-112-113−3−33-20033−3−300-113−3−332-20-11-11003−30000000000
χ2822-2-22-12-22-1-211-2-1001-112-113−3−33-200−3−33300-113−3−33-2201-11-100−330000000000
χ2922-2-22-12-22-1-211-2-1001-112-11−333−3-20033−3−300-11−333−3-2201-11-1003−30000000000
χ3022-2-22-12-22-1-211-2-1001-112-11−333−3-200−3−33300-11−333−32-20-11-1100−330000000000
χ3122-2-22-1-222-1-211-2-12i−2i1-11-21-1−ii−ii20033−3−32i−2i1-1−ii−ii000−i3i3i3−i300−330000000000
χ3222-2-22-1-222-1-211-2-12i−2i1-11-21-1−ii−ii200−3−3332i−2i1-1−ii−ii000i3−i3−i3i3003−30000000000
χ3322-2-22-1-222-1-211-2-1−2i2i1-11-21-1i−ii−i20033−3−3−2i2i1-1i−ii−i000i3−i3−i3i300−330000000000
χ3422-2-22-1-222-1-211-2-1−2i2i1-11-21-1i−ii−i200−3−333−2i2i1-1i−ii−i000−i3i3i3−i3003−30000000000
χ3522-2-2-12-22-121-2-21-12i−2i1-111-222i−2i2i−2i-1000000−ii1-1−ii−ii00000000000−i3−i3i3i303−3000
χ3622-2-2-12-22-121-2-21-12i−2i1-111-222i−2i2i−2i-1000000−ii1-1−ii−ii00000000000i3i3−i3−i30−33000
χ3722-2-2-12-22-121-2-21-1−2i2i1-111-22−2i2i−2i2i-1000000i−i1-1i−ii−i00000000000−i3−i3i3i30−33000
χ3822-2-2-12-22-121-2-21-1−2i2i1-111-22−2i2i−2i2i-1000000i−i1-1i−ii−i00000000000i3i3−i3−i303−3000
χ392-22-22200-2-2-22-222002-2-2000000002i−2i2i−2i2i−2i000000000000000−i2i200−i2i2−i2i20002−20
χ402-22-22200-2-2-22-222002-2-2000000002i−2i2i−2i2i−2i000000000000000i2−i200i2−i2i2−i2000−220
χ412-22-22200-2-2-22-222002-2-200000000−2i2i−2i2i−2i2i000000000000000−i2i200−i2i2−i2i2000−220
χ422-22-22200-2-2-22-222002-2-200000000−2i2i−2i2i−2i2i000000000000000i2−i200i2−i2i2−i20002−20
χ434444-24-4-4-24-244-2-200-2-2-22-4-40000200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-2100111222−2i3−2i32i32i3200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-21001112222i32i3−2i3−2i3200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-4-244-4-242-4-42-2002-22-24-40000200000000-220000000000000000000000000
χ4944-4-4-2-24-4-2-22222100-11-1-2-2223−23−23232000000001-1−333−3000000000000000000000
χ5044-4-4-2-24-4-2-22222100-11-1-2-22−232323−232000000001-13−3−33000000000000000000000
χ5144-4-4-2-2-44-2-2222214i−4i-11-122-2−2i2i−2i2i-2000000−2i2i-11i−ii−i000000000000000000000
χ5244-4-4-2-2-44-2-222221−4i4i-11-122-22i−2i2i−2i-20000002i−2i-11−ii−ii000000000000000000000
χ534-44-44-200-42-4-224-200-222000000004i−4i−2i2i−2i2i00000000000000000000000000000
χ544-44-44-200-42-4-224-200-22200000000−4i4i2i−2i2i−2i00000000000000000000000000000
χ554-44-4-24002-424-4-2-200-22200000000000000000000000000000−2i22i200i2−i2i2−i2000000
χ564-44-4-24002-424-4-2-200-222000000000000000000000000000002i2−2i200−i2i2−i2i2000000
χ574-4-444400-4-44-44-4400-4-440000000000000000000000000000000000000000000
χ584-4-444-200-4242-2-4-20022-20000000000−2i32i32i3−2i300000000000000000000000000000
χ594-4-444-200-4242-2-4-20022-200000000002i3−2i3−2i32i300000000000000000000000000000
χ604-4-44-24002-4-2-442-20022-20000000000000000000000000000000006−6−66000000
χ614-4-44-24002-4-2-442-20022-2000000000000000000000000000000000−666−6000000
χ628-88-8-4-400444-44-42002-2-20000000000000000000000000000000000000000000
χ638-8-88-4-40044-44-44200-2-220000000000000000000000000000000000000000000

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