Finite Group Databasebeta

← Group #10594221

Character table — Group #10594221

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222244444444444666688888888881212121212121212121212121212181824242424363636
order12223366666623446666612124444666121212121212122224446612121212121244661212244
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111111111111-1-1-111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1111111111111-1-1111-1-1-1-1-11111-1-11-1-11-1-1-1
χ411111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111-1-111111-1-11111111-1-1-1-1-1-1-11-1-11-1-1-1-111111111-11-1-1-11-1
χ611111111111111-1-111111-1-111-1-1111-1-1-1-1-1-1-11-11-11-1-1-111-1-1-1-1-1-111-111-11
χ711111111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11-11-1111-1-11111-1-1-1-11-11-11
χ811111111111111-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1111-111-11-1
χ9111111111111-111-1-1-1111111111-1-1-11-1-111-1-1-11-1-11-1111111-1-111-1-1-11-1-11
χ10111111111111-111-1-1-11111111-1-1-1-1-11-1-111-1-1-1111-1-11111-1-111-1-11-1-1-111-1
χ11111111111111-111-1-1-111111-1-111-1-1-11-1-111-1-11-1-1-111-1-1-1-111-1-1-1-1-111111-1
χ12111111111111-111-1-1-111111-1-1-1-1-1-1-11-1-111-1-11-111-11-1-1-1-1-1-11111111-1-1-11
χ13111111111111-11-11-1-1111-1-11111-1-1-1-111-1-111-1-11-1-11-1-11111-1-1111-11-11-1-1
χ14111111111111-11-11-1-1111-1-111-1-1-1-1-1-111-1-111-1-1-1111-1-111-1-111-1-1-1-111-111
χ15111111111111-11-11-1-1111-1-1-1-111-1-1-1-111-1-111111-1-1-111-1-111-1-1-1-111-1-1-111
χ16111111111111-11-11-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-1-1-11111-11-111-1-1
χ1722222-1-122-1-122-12222-1-1-1-1-12200-1-1-122-1-1-1-1-1220002-1-1-1-10000000-1-10000
χ1822222-1-122-1-122-12222-1-1-1-1-1-2-200-1-1-122-1-1-1-1-1-2-2000-211110000000110000
χ1922222-1-122-1-122-1-2-222-1-1-1112200-1-1-1-2-2111112-2000-211-1-10000000-110000
χ2022222-1-122-1-122-1-2-222-1-1-111-2-200-1-1-1-2-211111-220002-1-11100000001-10000
χ2122222-1-122-1-12-2-12-2-2-2-1-1-1-1-122001112-21-1-111-22000-2-1-1-1-10000000110000
χ2222222-1-122-1-12-2-12-2-2-2-1-1-1-1-1-2-2001112-21-1-1112-2000211110000000-1-10000
χ2322222-1-122-1-12-2-1-22-2-2-1-1-1112200111-22-111-1-1-2-2000211-1-100000001-10000
χ2422222-1-122-1-12-2-1-22-2-2-1-1-111-2-200111-22-111-1-122000-2-1-1110000000-110000
χ252222-122-1-122-12-122-1-1-1-1-12200222-1-1-1-12-1-1-1-10022200000-1-1-1-100-100-1000
χ262222-122-1-122-12-122-1-1-1-1-12200-2-22-1-1-1-12-1-1-1-100-2-2-2000001111001001000
χ272222-122-1-122-12-1-2-2-1-1-1-1-1-2-200222-1-111-2111100-22-200000-1-1-1-1001001000
χ282222-122-1-122-12-1-2-2-1-1-1-1-1-2-200-2-22-1-111-21111002-2200000111100-100-1000
χ292222-122-1-122-1-2-12-211-1-1-1220022-211-11-2-1-11100-2-2200000-1-11100100-1000
χ302222-122-1-122-1-2-12-211-1-1-12200-2-2-211-11-2-1-1110022-20000011-1-100-1001000
χ312222-122-1-122-1-2-1-2211-1-1-1-2-20022-2111-1211-1-1002-2-200000-1-11100-1001000
χ322222-122-1-122-1-2-1-2211-1-1-1-2-200-2-2-2111-1211-1-100-2220000011-1-100100-1000
χ3322-2-222-22-22-2-2020000-22-2002-22i−2i0000000000000000002-22i−2i002i−2i0000000
χ3422-2-222-22-22-2-2020000-22-2002-2−2i2i0000000000000000002-2−2i2i00−2i2i0000000
χ3522-2-222-22-22-2-2020000-22-200-222i−2i000000000000000000-222i−2i00−2i2i0000000
χ3622-2-222-22-22-2-2020000-22-200-22−2i2i000000000000000000-22−2i2i002i−2i0000000
χ374444-2-2-2-2-2-2-2-24144-2-2111-2-20000-211-2-2-2111100000000000000000000000
χ384444-2-2-2-2-2-2-2-241-4-4-2-2111220000-211222-1-1-1-100000000000000000000000
χ394444-2-2-2-2-2-2-2-2-414-422111-2-200002-1-1-22211-1-100000000000000000000000
χ404444-2-2-2-2-2-2-2-2-41-44221112200002-1-12-2-2-1-11100000000000000000000000
χ4144-4-44-224-4-22-40-200002-22004-400000000000000000000-220000000000000
χ4244-4-44-224-4-22-40-200002-2200-44000000000000000000002-20000000000000
χ4344-4-4-24-4-224-420-200002-2200004i−4i00000000000000000000−2i2i00000000000
χ4444-4-4-24-4-224-420-200002-220000−4i4i000000000000000000002i−2i00000000000
χ454-44-4444-4-4-4-440400004-4-4000000000000000000000000000000000000000
χ464-44-44-2-2-4-42240-20000-22223−23000000000023−230000000000000000000000000
χ474-44-44-2-2-4-42240-20000-222−23230000000000−23230000000000000000000000000
χ484-44-4-24422-4-4-20-200−2i32i3-2220000000−2i32i3000000000000000000000000000000
χ494-44-4-24422-4-4-20-2002i3−2i3-22200000002i3−2i3000000000000000000000000000000
χ504-44-4-2-2-22222-20100−2i32i31-1-123−2300000i3−i3000−333i−3i00000000000000000000000
χ514-44-4-2-2-22222-20100−2i32i31-1-1−232300000i3−i30003−3−3i3i00000000000000000000000
χ524-44-4-2-2-22222-201002i3−2i31-1-123−2300000−i3i3000−33−3i3i00000000000000000000000
χ534-44-4-2-2-22222-201002i3−2i31-1-1−232300000−i3i30003−33i−3i00000000000000000000000
χ544-4-4444-4-44-44-4040000-4-44000000000000000000000000000000000000000
χ554-4-444-22-442-2-40-2000022-20000000000000000000000−2i32i3000000000000000
χ564-4-444-22-442-2-40-2000022-200000000000000000000002i3−2i3000000000000000
χ574-4-44-24-42-2-4420-2000022-2000000000000000000000000000023−23000000000
χ584-4-44-24-42-2-4420-2000022-20000000000000000000000000000−2323000000000
χ5988-8-8-4-44-44-444020000-22-2000000000000000000000000000000000000000
χ608-8-88-4-444-44-44020000-2-22000000000000000000000000000000000000000

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