Finite Group Databasebeta

← Group #10590537

Character table — Group #10590537

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order12223344666666366612121212444488884121212121212121212121212121224242424888844121212122
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ9222222-2-22222222222-2-2-2-222-2-2000000000-2-2000022-2-2000000000000000
χ10222222-2-22222222222-2-2-2-2-2-222000000000-2-20000-2-222000000000000000
χ1122222-1222-12-12-1-1-1-1-1-1-12222220000222-1-1-1-1-1-1-1-1-1-1-1-1000000000200-1-10
χ1222222-1222-12-12-1-1-1-1-1-1-12222220000-2-2-211-1-11111-1-1-1-1000000000-200110
χ1322222-1222-12-12-1-1-1-1-1-1-122-2-2-2-20000222-1-1-1-1-1-1-1-11111000000000-200110
χ1422222-1222-12-12-1-1-1-1-1-1-122-2-2-2-20000-2-2-211-1-111111111000000000200-1-10
χ1522222-1-2-22-12-12-1-1-1-1-111-2-222-2-20000000−i3i311−i3−i3i3i3-1-111000000000000−i3i30
χ1622222-1-2-22-12-12-1-1-1-1-111-2-222-2-20000000i3−i311i3i3−i3−i3-1-111000000000000i3−i30
χ1722222-1-2-22-12-12-1-1-1-1-111-2-2-2-2220000000−i3i311−i3−i3i3i311-1-1000000000000i3−i30
χ1822222-1-2-22-12-12-1-1-1-1-111-2-2-2-2220000000i3−i311i3i3−i3−i311-1-1000000000000−i3i30
χ192222-1222-12-12-12-1-1-1-122-1-1000022222-1-122-1-1-1-1-1-10000-1-1-1-1000020-1-1000
χ202222-1222-12-12-12-1-1-1-122-1-100002222-211-2-2-1-111110000-1-1-1-10000-2011000
χ212222-1222-12-12-12-1-1-1-122-1-10000-2-2-2-22-1-122-1-1-1-1-1-1000011110000-2011000
χ222222-1222-12-12-12-1-1-1-122-1-10000-2-2-2-2-211-2-2-1-1111100001111000020-1-1000
χ2322-2-22200-2-222-2-22-2-220000002i−2i−i2−i2i2i200000000000002i−2i−i2−i2i2i222−2−20000000
χ2422-2-22200-2-222-2-22-2-220000002i−2ii2i2−i2−i200000000000002i−2ii2i2−i2−i2−2−2220000000
χ2522-2-22200-2-222-2-22-2-22000000−2i2i−i2−i2i2i20000000000000−2i2i−i2−i2i2i2−2−2220000000
χ2622-2-22200-2-222-2-22-2-22000000−2i2ii2i2−i2−i20000000000000−2i2ii2i2−i2−i222−2−20000000
χ272-22-2222-2-22-2-22-22-22-22-2-2200000000000002-20000000000002i−2i2i−2i0000000
χ282-22-2222-2-22-2-22-22-22-22-2-2200000000000002-2000000000000−2i2i−2i2i0000000
χ292-22-222-22-22-2-22-22-22-2-222-200002i−2i2i−2i00000-22000000002i−2i2i−2i00000000000
χ302-22-222-22-22-2-22-22-22-2-222-20000−2i2i−2i2i00000-2200000000−2i2i−2i2i00000000000
χ312-22-2-12-22121-2-1-2-11-11-22-1100002i−2i2i−2i03−3001-13−33−30000−ii−ii000000−i3i3000
χ322-22-2-12-22121-2-1-2-11-11-22-1100002i−2i2i−2i0−33001-1−33−330000−ii−ii000000i3−i3000
χ332-22-2-12-22121-2-1-2-11-11-22-110000−2i2i−2i2i03−3001-13−33−30000i−ii−i000000i3−i3000
χ342-22-2-12-22121-2-1-2-11-11-22-110000−2i2i−2i2i0−33001-1−33−330000i−ii−i000000−i3i3000
χ352-2-2222002-2-2-2-2222-2-200002i−2i002−2−22000000000002i−2i002−2−22−i2i2i2−i20000000
χ362-2-2222002-2-2-2-2222-2-200002i−2i00−222−2000000000002i−2i00−222−2i2−i2−i2i20000000
χ372-2-2222002-2-2-2-2222-2-20000−2i2i002−2−2200000000000−2i2i002−2−22i2−i2−i2i20000000
χ382-2-2222002-2-2-2-2222-2-20000−2i2i00−222−200000000000−2i2i00−222−2−i2i2i2−i20000000
χ394444-24-4-4-24-24-24-2-2-2-2-4-42200000000000002200000000000000000000000
χ404444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-200000000-4222211-1-1-1-10000000000000000000
χ424444-2-2-4-4-2-2-2-2-2-21111222200000000000−2i32i3-1-1i3i3−i3−i30000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-211112222000000000002i3−2i3-1-1−i3−i3i3i30000000000000000000
χ4444-4-44-200-424-2-42-222-20000004i−4i00000000000000000−2i2i000000000000000
χ4544-4-44-200-424-2-42-222-2000000−4i4i000000000000000002i−2i000000000000000
χ4644-4-4-24002-4-242-4-222-200000000−2i2−2i22i22i2000000000000000i2i2−i2−i200000000000
χ4744-4-4-24002-4-242-4-222-2000000002i22i2−2i2−2i2000000000000000−i2−i2i2i200000000000
χ484-44-44-24-4-4-2-4242-22-22-22-440000000000000-2200000000000000000000000
χ494-44-44-2-44-4-2-4242-22-222-24-400000000000002-200000000000000000000000
χ504-44-4-244-4242-4-2-4-22-224-42-20000000000000-2200000000000000000000000
χ514-44-4-2-24-42-222-221-11-1-222-200000000000001-13i−3i−3i3i0000000000000000000
χ524-44-4-2-24-42-222-221-11-1-222-200000000000001-1−3i3i3i−3i0000000000000000000
χ534-44-4-2-2-442-222-221-11-12-2-2200000000023−2300-11−33−330000000000000000000
χ544-44-4-2-2-442-222-221-11-12-2-22000000000−232300-113−33−30000000000000000000
χ554-4-444-20042-42-4-2-2-22200004i−4i00000000000000000−2i2i00000000000000000
χ564-4-444-20042-42-4-2-2-2220000−4i4i000000000000000002i−2i00000000000000000
χ574-4-44-2400-2-42-424-2-2220000000022−22−2222000000000000000−222−200000000000
χ584-4-44-2400-2-42-424-2-22200000000−222222−220000000000000002−2−2200000000000
χ5988-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000000000
χ608-8-88-4-400-44444-422-2-2000000000000000000000000000000000000000000

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