Finite Group Databasebeta

← Group #10591585

Character table — Group #10591585

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order122233446666663666121212122244888841212121212121212121266121224242424888844121212122
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
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
χ1122222-1222-122-1-1-1-1-1-12-1-1222220000222-1-1-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ1222222-1222-122-1-1-1-1-1-12-1-1222220000-2-2-211-1-11111-1-1-1-100000000-2011000
χ1322222-1222-122-1-1-1-1-1-12-1-12-2-2-2-20000222-1-1-1-1-1-1-1-1111100000000-2011000
χ1422222-1222-122-1-1-1-1-1-12-1-12-2-2-2-20000-2-2-211-1-1111111110000000020-1-1000
χ1522222-1-2-22-122-1-1-1-1-1-1-211-222-2-20000000−i3i311−i3−i3i3i3-1-1110000000000−i3i3000
χ1622222-1-2-22-122-1-1-1-1-1-1-211-222-2-20000000i3−i311i3i3−i3−i3-1-1110000000000i3−i3000
χ1722222-1-2-22-122-1-1-1-1-1-1-211-2-2-2220000000−i3i311−i3−i3i3i311-1-10000000000i3−i3000
χ1822222-1-2-22-122-1-1-1-1-1-1-211-2-2-2220000000i3−i311i3i3−i3−i311-1-10000000000−i3i3000
χ192222-1222-12-1-122-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ202222-1222-12-1-122-1-1-1-1-122-100002222-211-2-2-1-111110000-1-1-1-100000-200110
χ212222-1222-12-1-122-1-1-1-1-122-10000-2-2-2-22-1-122-1-1-1-1-1-10000111100000-200110
χ222222-1222-12-1-122-1-1-1-1-122-10000-2-2-2-2-211-2-2-1-111110000111100000200-1-10
χ2322-2-222002-2-2-22-222-2-20000002i−2i22−2−200000000000002i−2i22−2−2−i2−i2i2i20000000
χ2422-2-222002-2-2-22-222-2-20000002i−2i−2−22200000000000002i−2i−2−222i2i2−i2−i20000000
χ2522-2-222002-2-2-22-222-2-2000000−2i2i22−2−20000000000000−2i2i22−2−2i2i2−i2−i20000000
χ2622-2-222002-2-2-22-222-2-2000000−2i2i−2−2220000000000000−2i2i−2−222−i2−i2i2i20000000
χ272-22-22200-22-22-2-22-22-200002-200−i2i2−i2i2000000000002-200−i2i2−i2i2−i2i2−i2i20000000
χ282-22-22200-22-22-2-22-22-200002-200i2−i2i2−i2000000000002-200i2−i2i2−i2i2−i2i2−i20000000
χ292-22-22200-22-22-2-22-22-20000-2200−i2i2−i2i200000000000-2200−i2i2−i2i2i2−i2i2−i20000000
χ302-22-22200-22-22-2-22-22-20000-2200i2−i2i2−i200000000000-2200i2−i2i2−i2−i2i2−i2i20000000
χ312-2-22222-2-2-22-2-222-2-2222-2-200002i−2i−2i2i000002-2000000002i−2i−2i2i00000000000
χ322-2-22222-2-2-22-2-222-2-2222-2-20000−2i2i2i−2i000002-200000000−2i2i2i−2i00000000000
χ332-2-2222-22-2-22-2-222-2-22-2-2220000000000000-220000000000002-2-220000000
χ342-2-2222-22-2-22-2-222-2-22-2-2220000000000000-22000000000000-222-20000000
χ352-2-22-122-21-2-11-22-111-1-12-2100002i−2i−2i2i0−i3i300-11−i3i3−i3i30000−iii−i000000003−30
χ362-2-22-122-21-2-11-22-111-1-12-2100002i−2i−2i2i0i3−i300-11i3−i3i3−i30000−iii−i00000000−330
χ372-2-22-122-21-2-11-22-111-1-12-210000−2i2i2i−2i0−i3i300-11−i3i3−i3i30000i−i−ii00000000−330
χ382-2-22-122-21-2-11-22-111-1-12-210000−2i2i2i−2i0i3−i300-11i3−i3i3−i30000i−i−ii000000003−30
χ394444-24-4-4-24-2-244-2-2-2-22-4-4200000000000002200000000000000000000000
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
χ4444-4-44-20042-4-4-22-2-2220000004i−4i00000000000000000−2i2i000000000000000
χ4544-4-44-20042-4-4-22-2-222000000−4i4i000000000000000002i−2i000000000000000
χ4644-4-4-2400-2-4224-4-2-222000000002222−22−22000000000000000−2−22200000000000
χ4744-4-4-2400-2-4224-4-2-22200000000−22−22222200000000000000022−2−200000000000
χ484-44-44-200-4-2-4422-22-2200004-400000000000000000-2200000000000000000
χ494-44-44-200-4-2-4422-22-220000-44000000000000000002-200000000000000000
χ504-44-4-2400242-2-4-4-22-2200000000−2i22i2−2i22i2000000000000000i2−i2i2−i200000000000
χ514-44-4-2400242-2-4-4-22-22000000002i2−2i22i2−2i2000000000000000−i2i2−i2i200000000000
χ524-4-444-24-4-424-42-2-222-24-22-40000000000000-2200000000000000000000000
χ534-4-444-2-44-424-42-2-222-2-42-2400000000000002-200000000000000000000000
χ544-4-44-24-442-4-22-44-222-22-44-200000000000002-200000000000000000000000
χ554-4-44-2-24-422-222-21-1-11-2-222000000000−2i32i3001-1i3−i3i3−i30000000000000000000
χ564-4-44-2-24-422-222-21-1-11-2-2220000000002i3−2i3001-1−i3i3−i3i30000000000000000000
χ574-4-44-2-2-4422-222-21-1-1122-2-20000000000000-113-3-330000000000000000000
χ584-4-44-2-2-4422-222-21-1-1122-2-20000000000000-11-333-30000000000000000000
χ5988-8-8-4-400-4444-4422-2-2000000000000000000000000000000000000000000
χ608-88-8-4-4004-44-4442-22-2000000000000000000000000000000000000000000

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