Finite Group Databasebeta

← Group #10591487

Character table — Group #10591487

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order1222334466666636661212121244448888266666666121212121212242424248888246612124
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1
χ9222222-2-22222222222-2-2-2-222-2-20000000000000-2-222-2-2000000000000000
χ10222222-2-22222222222-2-2-2-2-2-2220000000000000-2-2-2-222000000000000000
χ1122222-12222-1-1-12-1-1-1-12-1-1222220000222-1-1-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ1222222-12222-1-1-12-1-1-1-12-1-1222220000-2-2-2111111-1-1-1-1-1-100000000-2011000
χ1322222-12222-1-1-12-1-1-1-12-1-12-2-2-2-20000222-1-1-1-1-1-1-1-1111100000000-2011000
χ1422222-12222-1-1-12-1-1-1-12-1-12-2-2-2-20000-2-2-2111111-1-111110000000020-1-1000
χ1522222-1-2-222-1-1-12-1-1-1-1-211-222-2-20000000−i3i3−i3−i3i3i311-1-1110000000000−i3i3000
χ1622222-1-2-222-1-1-12-1-1-1-1-211-222-2-20000000i3−i3i3i3−i3−i311-1-1110000000000i3−i3000
χ1722222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000−i3i3−i3−i3i3i31111-1-10000000000i3−i3000
χ1822222-1-2-222-1-1-12-1-1-1-1-211-2-2-2220000000i3−i3i3i3−i3−i31111-1-10000000000−i3i3000
χ192222-1222-1-1222-1-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ202222-1222-1-1222-1-1-1-1-1-122-100002222-211-2-21111-1-10000-1-1-1-100000-200110
χ212222-1222-1-1222-1-1-1-1-1-122-10000-2-2-2-22-1-122-1-1-1-1-1-10000111100000-200110
χ222222-1222-1-1222-1-1-1-1-1-122-10000-2-2-2-2-211-2-21111-1-10000111100000200-1-10
χ2322-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-2000000002i2i−2i−2i0000000
χ2422-2-2222-2-222-2-2-22-2-22-22-22000000000000000002-200000000−2i−2i2i2i0000000
χ2522-2-222-22-222-2-2-22-2-222-22-200002i2i−2i−2i000000000-2200002i2i−2i−2i00000000000
χ2622-2-222-22-222-2-2-22-2-222-22-20000−2i−2i2i2i000000000-220000−2i−2i2i2i00000000000
χ2722-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0−i3i300−i3i3−i3i31-10000−i−iii000000003−30
χ2822-2-2-12-221-12-2-21-111-1-1-22100002i2i−2i−2i0i3−i300i3−i3i3−i31-10000−i−iii00000000−330
χ2922-2-2-12-221-12-2-21-111-1-1-2210000−2i−2i2i2i0−i3i300−i3i3−i3i31-10000ii−i−i00000000−330
χ3022-2-2-12-221-12-2-21-111-1-1-2210000−2i−2i2i2i0i3−i300i3−i3i3−i31-10000ii−i−i000000003−30
χ312-22-222002-2-22-2-222-2-200002-200−i2i2−i2i2000000000002-200−i2i2−i2i2−i2i2−i2i20000000
χ322-22-222002-2-22-2-222-2-200002-200i2−i2i2−i2000000000002-200i2−i2i2−i2i2−i2i2−i20000000
χ332-22-222002-2-22-2-222-2-20000-2200−i2i2−i2i200000000000-2200−i2i2−i2i2i2−i2i2−i20000000
χ342-22-222002-2-22-2-222-2-20000-2200i2−i2i2−i200000000000-2200i2−i2i2−i2−i2i2−i2i20000000
χ352-2-222200-2-2-2-2222-22-20000002-22−2−2200000000000002-22−2−222−2−220000000
χ362-2-222200-2-2-2-2222-22-20000002-2−222−200000000000002-2−222−2−222−20000000
χ372-2-222200-2-2-2-2222-22-2000000-222−2−220000000000000-222−2−22−222−20000000
χ382-2-222200-2-2-2-2222-22-2000000-22−222−20000000000000-22−222−22−2−220000000
χ394444-24-4-4-2-2444-2-2-2-2-22-4-4200000000000000000220000000000000000000
χ404444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-200000000-42222-1-1-1-1110000000000000000000
χ424444-2-2-4-4-2-2-2-2-2-21111222200000000000−2i32i3i3i3−i3−i3-1-10000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-211112222000000000002i3−2i3−i3−i3i3i3-1-10000000000000000000
χ4444-4-44-24-4-44-222-4-222-2-4-22400000000000000000-220000000000000000000
χ4544-4-44-2-44-44-222-4-222-242-2-4000000000000000002-20000000000000000000
χ4644-4-4-244-42-24-4-42-222-224-4-200000000000000000-220000000000000000000
χ4744-4-4-2-24-42-2-22221-1-112-22-200000000000003-3-331-10000000000000000000
χ4844-4-4-2-24-42-2-22221-1-112-22-20000000000000-333-31-10000000000000000000
χ4944-4-4-2-2-442-2-22221-1-11-22-22000000000−2i32i300i3−i3i3−i3-110000000000000000000
χ5044-4-4-2-2-442-2-22221-1-11-22-220000000002i3−2i300−i3i3−i3i3-110000000000000000000
χ514-44-44-2004-42-22-4-2-22200004-400000000000000000-2200000000000000000
χ524-44-44-2004-42-22-4-2-2220000-44000000000000000002-200000000000000000
χ534-44-4-2400-22-44-42-2-22200000000−2i22i2−2i22i2000000000000000i2−i2i2−i200000000000
χ544-44-4-2400-22-44-42-2-222000000002i2−2i22i2−2i2000000000000000−i2i2−i2i200000000000
χ554-4-444-200-4-422-24-22-220000004-400000000000000000-22000000000000000
χ564-4-444-200-4-422-24-22-22000000-44000000000000000002-2000000000000000
χ574-4-44-240022-4-44-2-22-220000000022−22−2222000000000000000−222−200000000000
χ584-4-44-240022-4-44-2-22-2200000000−222222−220000000000000002−2−2200000000000
χ598-88-8-4-400-444-44422-2-2000000000000000000000000000000000000000000
χ608-8-88-4-4004444-4-42-22-2000000000000000000000000000000000000000000

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