Finite Group Databasebeta

← Group #11781507

Character table — Group #11781507

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111224444444444888816161616181818181818242424242424242424242424363636363636363636484848484848
order122244334466666612121212121212124488888888242424242424242444488888824661212
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-11-1-111
χ511111111-1-11111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ611111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111
χ711111111-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-11-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-111-1-1
χ9222222222222222222222222-2-20000000000000000-2-2-2000000000000
χ1022222222-2-22222222222-2-2-2-2-2-20000000000000000-222000000000000
χ112222-2-22200222222-2-2-2-20000222222000000000000-200-2-20000000000
χ122222-2-22200222222-2-2-2-2000022-2-2-2-2000000000000-200220000000000
χ132222-2-22200222222-2-2-2-20000-2-20000000000000000200002i2i−2i−2i000000
χ142222-2-22200222222-2-2-2-20000-2-2000000000000000020000−2i−2i2i2i000000
χ1522-2-200220022-2-2-2-200000000-222i2i−2i−2i−i2i22−2−i2−i2i2i222−2−2000000000000000
χ1622-2-200220022-2-2-2-200000000-222i2i−2i−2ii2−i2−22i2i2−i2−i2−2−222000000000000000
χ1722-2-200220022-2-2-2-200000000-22−2i−2i2i2i−i2i2−22−i2−i2i2i2−2−222000000000000000
χ1822-2-200220022-2-2-2-200000000-22−2i−2i2i2ii2−i22−2i2i2−i2−i222−2−2000000000000000
χ192-2-222-2222i−2i-2-22-2-2222-2-22i2i−2i−2i002−22−20000000000000002−2−i2i2−i2i2000000
χ202-2-222-2222i−2i-2-22-2-2222-2-22i2i−2i−2i00−22−22000000000000000−22i2−i2i2−i2000000
χ212-2-222-222−2i2i-2-22-2-2222-2-2−2i−2i2i2i002−22−20000000000000002−2i2−i2i2−i2000000
χ222-2-222-222−2i2i-2-22-2-2222-2-2−2i−2i2i2i00−22−22000000000000000−22−i2i2−i2i2000000
χ232-2-22-222200-2-22-2-22-2-2220000002−22−200000000000002-2−222−2−22000000
χ242-2-22-222200-2-22-2-22-2-2220000002−22−20000000000000-22−22−222−2000000
χ252-2-22-222200-2-22-2-22-2-222000000−22−2200000000000002-22−2−222−2000000
χ262-2-22-222200-2-22-2-22-2-222000000−22−220000000000000-222−22−2−22000000
χ274444441-2441-2-21-21-21-211-21-200000000220000-1-1-1-10000000000200-1-1
χ284444441-2441-2-21-21-21-211-21-200000000-2-2000011110000000000-20011
χ294444441-2-4-41-2-21-21-21-21-12-1200000000220000-1-1-1-10000000000-20011
χ304444441-2-4-41-2-21-21-21-21-12-1200000000-2-2000011110000000000200-1-1
χ31444444-2144-211-21-21-21-2-21-210000002200-1-1-1-1000000000000020-1-100
χ32444444-2144-211-21-21-21-2-21-21000000-2-20011110000000000000-201100
χ33444444-21-4-4-211-21-21-21-22-12-10000002200-1-1-1-10000000000000-201100
χ34444444-21-4-4-211-21-21-21-22-12-1000000-2-2001111000000000000020-1-100
χ3544-4-400440044-4-4-4-4000000004-40000000000000000000000000000000
χ364-44-4004400-4-4-444-40000000000−2i22i22i2−2i2000000000000000000000000000
χ374-44-4004400-4-4-444-400000000002i2−2i2−2i22i2000000000000000000000000000
χ384-4-444-41-24i−4i-12-2-121-212-1i−2i−i2i000000000000003−33−30000000000000−i3i3
χ394-4-444-41-24i−4i-12-2-121-212-1i−2i−i2i00000000000000−33−330000000000000i3−i3
χ404-4-444-41-2−4i4i-12-2-121-212-1−i2ii−2i000000000000003−33−30000000000000i3−i3
χ414-4-444-41-2−4i4i-12-2-121-212-1−i2ii−2i00000000000000−33−330000000000000−i3i3
χ424-4-444-4-214i−4i2-112-1-21-2-12−2ii2i−i00000000003−33−3000000000000000−i3i300
χ434-4-444-4-214i−4i2-112-1-21-2-12−2ii2i−i0000000000−33−33000000000000000i3−i300
χ444-4-444-4-21−4i4i2-112-1-21-2-122i−i−2ii00000000003−33−3000000000000000i3−i300
χ454-4-444-4-21−4i4i2-112-1-21-2-122i−i−2ii0000000000−33−33000000000000000−i3i300
χ468888-8-82-4002-4-42-424-24-20000000000000000000000000000000000000
χ478888-8-8-4200-422-42-4-24-240000000000000000000000000000000000000
χ4888-8-8002-4002-44-24-2000000000000000022−220000−2−222000000000000000
χ4988-8-8002-4002-44-24-20000000000000000−2222000022−2−2000000000000000
χ5088-8-800-4200-42-24-2400000000000000−2i22i200i2i2−i2−i20000000000000000000
χ5188-8-800-4200-42-24-24000000000000002i2−2i200−i2−i2i2i20000000000000000000
χ528-88-8002-400-2442-4-200000000000000000000006−6−66000000000000000
χ538-88-8002-400-2442-4-20000000000000000000000−666−6000000000000000
χ548-88-800-42004-2-2-424000000000000000000i6−i6−i6i60000000000000000000
χ558-88-800-42004-2-2-424000000000000000000−i6i6i6−i60000000000000000000
χ568-8-88-882-400-24-4-2424-2-420000000000000000000000000000000000000
χ578-8-88-88-42004-224-2-4-242-40000000000000000000000000000000000000

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