Finite Group Databasebeta

← Group #10593377

Character table — Group #10593377

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111122444444448888181818181818181818181818242424242424242424242424
order122244336666661212121244448888888844441212121212121212
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111
χ9222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-222-2-200000000000000000000
χ1122-2-2002222-2-2-2-200002-20022−2−222−2−2000000000000
χ1222-2-2002222-2-2-2-200002-200−2−222−2−222000000000000
χ1322-2-2002222-2-2-2-20000-220022−2−2−2−222000000000000
χ1422-2-2002222-2-2-2-20000-2200−2−22222−2−2000000000000
χ152-22-22-222-2-2-22-222-22-20000−i2i2−i2i2−i2i2−i2i2000000000000
χ162-22-22-222-2-2-22-222-22-20000i2−i2i2−i2i2−i2i2−i2000000000000
χ172-22-2-2222-2-2-22-22-22-220000−i2i2−i2i2i2−i2i2−i2000000000000
χ182-22-2-2222-2-2-22-22-22-220000i2−i2i2−i2−i2i2−i2i2000000000000
χ192-2-220022-2-22-22-20000002-200002i−2i−2i2i000000000000
χ202-2-220022-2-22-22-20000002-20000−2i2i2i−2i000000000000
χ212-2-220022-2-22-22-2000000-222i−2i−2i2i0000000000000000
χ222-2-220022-2-22-22-2000000-22−2i2i2i−2i0000000000000000
χ234444441-21-21-2-21-2-21100000000000022000000-1-1-1-1
χ244444441-21-21-2-21-2-211000000000000-2-20000001111
χ25444444-21-21-211-211-2-20000000000000022-1-1-1-10000
χ26444444-21-21-211-211-2-200000000000000-2-211110000
χ274444-4-41-21-21-2-2122-1-10000000000002-2000000-1-111
χ284444-4-41-21-21-2-2122-1-1000000000000-2200000011-1-1
χ294444-4-4-21-21-211-2-1-122000000000000002-2-1-1110000
χ304444-4-4-21-21-211-2-1-12200000000000000-2211-1-10000
χ314-44-44-41-2-12-1-221-221-100000000000000000000−i3i3−i3i3
χ324-44-44-41-2-12-1-221-221-100000000000000000000i3−i3i3−i3
χ334-44-44-4-212-121-1-21-1-2200000000000000003−33−30000
χ344-44-44-4-212-121-1-21-1-220000000000000000−33−330000
χ354-44-4-441-2-12-1-2212-2-1100000000000000000000−i3i3i3−i3
χ364-44-4-441-2-12-1-2212-2-1100000000000000000000i3−i3−i3i3
χ374-44-4-44-212-121-1-2-112-200000000000000003−3−330000
χ384-44-4-44-212-121-1-2-112-20000000000000000−333−30000
χ3988-8-8002-42-4-244-20000000000000000000000000000
χ4088-8-800-42-424-2-240000000000000000000000000000
χ418-8-88002-4-2424-4-20000000000000000000000000000
χ428-8-8800-424-2-4-2240000000000000000000000000000

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