Finite Group Databasebeta

← Group #10593390

Character table — Group #10593390

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111122444444448888181818181818181818181818242424242424242424242424
order122244336666661212121244448888888844441212121212121212
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
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
χ1122-2-2002222-2-2-2-20000002-2000022-2-2000000000000
χ1222-2-2002222-2-2-2-20000002-20000-2-222000000000000
χ1322-2-2002222-2-2-2-2000000-2222-2-20000000000000000
χ1422-2-2002222-2-2-2-2000000-22-2-2220000000000000000
χ152-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i2000000000000
χ162-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i2000000000000
χ172-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i2000000000000
χ182-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i2000000000000
χ192-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i2000000000000
χ202-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i2000000000000
χ212-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i2000000000000
χ222-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i2000000000000
χ234444441-21-21-21-21-21-2000000000000020200-1-100-1-1
χ244444441-21-21-21-21-21-20000000000000-20-200110011
χ25444444-21-21-21-21-21-210000000000002020-1-100-1-100
χ26444444-21-21-21-21-21-21000000000000-20-2011001100
χ274444-4-41-21-21-21-2-12-12000000000000020-2001100-1-1
χ284444-4-41-21-21-21-2-12-120000000000000-20200-1-10011
χ294444-4-4-21-21-21-212-12-100000000000020-201100-1-100
χ304444-4-4-21-21-21-212-12-1000000000000-2020-1-1001100
χ314-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−3
χ324-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−33
χ334-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−300
χ344-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−3300
χ354-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−33
χ364-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−3
χ374-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−3300
χ384-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−300
χ3988-8-8002-42-4-24-240000000000000000000000000000
χ4088-8-800-42-424-24-20000000000000000000000000000
χ418-88-8002-4-24-242-40000000000000000000000000000
χ428-88-800-424-24-2-420000000000000000000000000000

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