Finite Group Databasebeta

← Group #11781506

Character table — Group #11781506

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
χ1522-2-20022002-22-2-2-200000000-222i2i−2i−2i−i2i22−2−i2−i2i2i222−2−2000000000000000
χ1622-2-20022002-22-2-2-200000000-222i2i−2i−2ii2−i2−22i2i2−i2−i2−2−222000000000000000
χ1722-2-20022002-22-2-2-200000000-22−2i−2i2i2i−i2i2−22−i2−i2i2i2−2−222000000000000000
χ1822-2-20022002-22-2-2-200000000-22−2i−2i2i2ii2−i22−2i2i2−i2−i222−2−2000000000000000
χ192-22-22-22200-2-2-2-22222-2-20000002−22−200000000000002i−2i2−2−i2i2−i2i2000000
χ202-22-22-22200-2-2-2-22222-2-20000002−22−20000000000000−2i2i2−2i2−i2i2−i2000000
χ212-22-22-22200-2-2-2-22222-2-2000000−22−2200000000000002i−2i−22i2−i2i2−i2000000
χ222-22-22-22200-2-2-2-22222-2-2000000−22−220000000000000−2i2i−22−i2i2−i2i2000000
χ232-22-2-22222-2-2-2-2-222-2-2222-22-2002−22−2000000000000000−222−2−22000000
χ242-22-2-22222-2-2-2-2-222-2-2222-22-200−22−220000000000000002−2−222−2000000
χ252-22-2-2222-22-2-2-2-222-2-222-22-22002−22−2000000000000000−22−222−2000000
χ262-22-2-2222-22-2-2-2-222-2-222-22-2200−22−220000000000000002−22−2−22000000
χ274444441-24411-2-2-21-21-21-2-21100000000220000-1-1-1-10000000000200-1-1
χ284444441-24411-2-2-21-21-21-2-21100000000-2-2000011110000000000-20011
χ294444441-2-4-411-2-2-21-21-2122-1-100000000220000-1-1-1-10000000000-20011
χ304444441-2-4-411-2-2-21-21-2122-1-100000000-2-2000011110000000000200-1-1
χ31444444-2144-2-2111-21-21-211-2-20000002200-1-1-1-1000000000000020-1-100
χ32444444-2144-2-2111-21-21-211-2-2000000-2-20011110000000000000-201100
χ33444444-21-4-4-2-2111-21-21-2-1-1220000002200-1-1-1-10000000000000-201100
χ34444444-21-4-4-2-2111-21-21-2-1-122000000-2-2001111000000000000020-1-100
χ3544-4-40044004-44-4-4-4000000004-40000000000000000000000000000000
χ364-44-4-441-24-4-1-122-212-1-21-221-100000000000000−i3i3−i3i30000000000000−i3i3
χ374-44-4-441-24-4-1-122-212-1-21-221-100000000000000i3−i3i3−i30000000000000i3−i3
χ384-44-4-441-2-44-1-122-212-1-212-2-1100000000000000−i3i3−i3i30000000000000i3−i3
χ394-44-4-441-2-44-1-122-212-1-212-2-1100000000000000i3−i3i3−i30000000000000−i3i3
χ404-44-4-44-214-422-1-11-2-121-21-1-220000000000−i3i3−i3i3000000000000000−i3i300
χ414-44-4-44-214-422-1-11-2-121-21-1-220000000000i3−i3i3−i3000000000000000i3−i300
χ424-44-4-44-21-4422-1-11-2-121-2-112-20000000000−i3i3−i3i3000000000000000i3−i300
χ434-44-4-44-21-4422-1-11-2-121-2-112-20000000000i3−i3i3−i3000000000000000−i3i300
χ444-4-44004400-44-44-4-40000000000−2i22i22i2−2i2000000000000000000000000000
χ454-4-44004400-44-44-4-400000000002i2−2i2−2i22i2000000000000000000000000000
χ468888-8-82-40022-4-4-424-24-20000000000000000000000000000000000000
χ478888-8-8-4200-4-4222-4-24-240000000000000000000000000000000000000
χ4888-8-8002-4002-2-444-2000000000000000022−220000−2−222000000000000000
χ4988-8-8002-4002-2-444-20000000000000000−2222000022−2−2000000000000000
χ5088-8-800-4200-442-2-2400000000000000−2i22i200i2i2−i2−i20000000000000000000
χ5188-8-800-4200-442-2-24000000000000002i2−2i200−i2−i2i2i20000000000000000000
χ528-88-88-82-400-2-244-42-424-20000000000000000000000000000000000000
χ538-88-88-8-420044-2-22-42-4-240000000000000000000000000000000000000
χ548-8-88002-400-224-44-20000000000000000000000i6−i6−i6i6000000000000000
χ558-8-88002-400-224-44-20000000000000000000000−i6i6i6−i6000000000000000
χ568-8-8800-42004-4-22-240000000000000000006−6−660000000000000000000
χ578-8-8800-42004-4-22-24000000000000000000−666−60000000000000000000

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