Finite Group Databasebeta

← Group #10591473

Character table — Group #10591473

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order122233446666663666121212124444888826666666612121212121224242424888844121212122
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
χ1122222-12222-1-12-1-1-1-1-12-1-1222220000222-1-1-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ1222222-12222-1-12-1-1-1-1-12-1-1222220000-2-2-2111111-1-1-1-1-1-100000000-2011000
χ1322222-12222-1-12-1-1-1-1-12-1-12-2-2-2-20000222-1-1-1-1-1-1-1-1111100000000-2011000
χ1422222-12222-1-12-1-1-1-1-12-1-12-2-2-2-20000-2-2-2111111-1-111110000000020-1-1000
χ1522222-1-2-222-1-12-1-1-1-1-1-211-222-2-20000000−i3i3−i3−i3i3i311-1-1110000000000−i3i3000
χ1622222-1-2-222-1-12-1-1-1-1-1-211-222-2-20000000i3−i3i3i3−i3−i311-1-1110000000000i3−i3000
χ1722222-1-2-222-1-12-1-1-1-1-1-211-2-2-2220000000−i3i3−i3−i3i3i31111-1-10000000000i3−i3000
χ1822222-1-2-222-1-12-1-1-1-1-1-211-2-2-2220000000i3−i3i3i3−i3−i31111-1-10000000000−i3i3000
χ192222-1222-1-122-12-1-1-1-1-122-1000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ202222-1222-1-122-12-1-1-1-1-122-100002222-211-2-21111-1-10000-1-1-1-100000-200110
χ212222-1222-1-122-12-1-1-1-1-122-10000-2-2-2-22-1-122-1-1-1-1-1-10000111100000-200110
χ222222-1222-1-122-12-1-1-1-1-122-10000-2-2-2-2-211-2-21111-1-10000111100000200-1-10
χ2322-2-222002-22-2-2-222-2-20000002i−2i−i2−i2i2i200000000000002i−2i−i2−i2i2i222−2−20000000
χ2422-2-222002-22-2-2-222-2-20000002i−2ii2i2−i2−i200000000000002i−2ii2i2−i2−i2−2−2220000000
χ2522-2-222002-22-2-2-222-2-2000000−2i2i−i2−i2i2i20000000000000−2i2i−i2−i2i2i2−2−2220000000
χ2622-2-222002-22-2-2-222-2-2000000−2i2ii2i2−i2−i20000000000000−2i2ii2i2−i2−i222−2−20000000
χ272-22-22200-22-22-2-22-22-200002i−2i00−i2i2−i2i2000000000002i−2i00−i2i2−i2i22−22−20000000
χ282-22-22200-22-22-2-22-22-200002i−2i00i2−i2i2−i2000000000002i−2i00i2−i2i2−i2−22−220000000
χ292-22-22200-22-22-2-22-22-20000−2i2i00−i2i2−i2i200000000000−2i2i00−i2i2−i2i2−22−220000000
χ302-22-22200-22-22-2-22-22-20000−2i2i00i2−i2i2−i200000000000−2i2i00i2−i2i2−i22−22−20000000
χ312-2-22222-2-2-2-2-2222-2-22-22-2200002-2-220000000002-200002-2-2200000000000
χ322-2-22222-2-2-2-2-2222-2-22-22-220000-222-20000000002-20000-222-200000000000
χ332-2-2222-22-2-2-2-2222-2-222-22-200000000000000000-22000000002-2-220000000
χ342-2-2222-22-2-2-2-2222-2-222-22-200000000000000000-2200000000-222-20000000
χ352-2-22-122-211-2-2-12-111-112-2-100002-2-220−i3i300−i3i3−i3i3-110000-111-100000000−i3i30
χ362-2-22-122-211-2-2-12-111-112-2-100002-2-220i3−i300i3−i3i3−i3-110000-111-100000000i3−i30
χ372-2-22-122-211-2-2-12-111-112-2-10000-222-20−i3i300−i3i3−i3i3-1100001-1-1100000000i3−i30
χ382-2-22-122-211-2-2-12-111-112-2-10000-222-20i3−i300i3−i3i3−i3-1100001-1-1100000000−i3i30
χ394444-24-4-4-2-244-24-2-2-2-22-4-4200000000000000000220000000000000000000
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
χ4444-4-44-2004-4-22-42-2-2220000004i−4i00000000000000000−2i2i000000000000000
χ4544-4-44-2004-4-22-42-2-222000000−4i4i000000000000000002i−2i000000000000000
χ4644-4-4-2400-224-42-4-2-22200000000−2i2−2i22i22i2000000000000000i2i2−i2−i200000000000
χ4744-4-4-2400-224-42-4-2-222000000002i22i2−2i2−2i2000000000000000−i2−i2i2i200000000000
χ484-44-44-200-442-2-42-22-2200004i−4i00000000000000000−2i2i00000000000000000
χ494-44-44-200-442-2-42-22-220000−4i4i000000000000000002i−2i00000000000000000
χ504-44-4-24002-2-442-4-22-2200000000−2i22i2−2i22i2000000000000000i2−i2i2−i200000000000
χ514-44-4-24002-2-442-4-22-22000000002i2−2i22i2−2i2000000000000000−i2i2−i2i200000000000
χ524-4-444-24-4-4-4224-2-222-2-4-22400000000000000000-220000000000000000000
χ534-4-444-2-44-4-4224-2-222-242-2-4000000000000000002-20000000000000000000
χ544-4-44-24-4422-4-4-24-222-2-2-442000000000000000002-20000000000000000000
χ554-4-44-2-24-42222-2-21-1-112-22-2000000000−2i32i300i3−i3i3−i31-10000000000000000000
χ564-4-44-2-24-42222-2-21-1-112-22-20000000002i3−2i300−i3i3−i3i31-10000000000000000000
χ574-4-44-2-2-442222-2-21-1-11-22-2200000000000003-3-33-110000000000000000000
χ584-4-44-2-2-442222-2-21-1-11-22-220000000000000-333-3-110000000000000000000
χ5988-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000000
χ608-88-8-4-4004-44-4442-22-2000000000000000000000000000000000000000000

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