Finite Group Databasebeta

← Group #10591604

Character table — Group #10591604

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222224444444444444466666688888888121212121212121212121212121212242424363672
order122233446666663446661212121212121212441212121212121212121212124448812121212121224242424266884
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-11111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-111-1
χ6111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-11
χ8111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1
χ9222222-2-2222222200222-2-2-20000-222222200-2-20000-20000-2-200000000000000
χ10222222-2-2222222200222-2-2-20000-2-2-2-2-2-2-200-2-20000200002200000000000000
χ1122222-122-1-122-12-122-1-1-122-12222-1000000-1-1-1-1-1-1-1-100022000000-1-1-1-12-1-1000
χ1222222-122-1-122-12-122-1-1-122-12222-1000000-1-1-1-1-1-1-1-1000-2-20000001111-211000
χ1322222-122-1-122-12-1-2-2-1-1-122-1-2-2-2-2-100000011-1-1111100022000000-1-1-1-1-211000
χ1422222-122-1-122-12-1-2-2-1-1-122-1-2-2-2-2-100000011-1-11111000-2-200000011112-1-1000
χ152222-122222-1-12-1-122-1-1-1-1-12-1-1-1-1222-1-1-1-122-1-1-1-1-1-122200-1-1-1-1-1-10000000000
χ162222-122222-1-12-1-122-1-1-1-1-12-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2001111110000000000
χ172222-122222-1-12-1-1-2-2-1-1-1-1-121111222-1-1-1-1-2-2-1-111112-2-200-1-111110000000000
χ182222-122222-1-12-1-1-2-2-1-1-1-1-1211112-2-21111-2-2-1-11111-2220011-1-1-1-10000000000
χ192222-12-2-222-1-12-1-100-1-1-111-2−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i3-2000011−i3−i3i3i30000000000
χ202222-12-2-222-1-12-1-100-1-1-111-2−i3−i3i3i3-2-2-211110011−i3−i3i3i320000-1-1i3i3−i3−i30000000000
χ212222-12-2-222-1-12-1-100-1-1-111-2i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i3-2000011i3i3−i3−i30000000000
χ222222-12-2-222-1-12-1-100-1-1-111-2i3i3−i3−i3-2-2-211110011i3i3−i3−i320000-1-1−i3−i3i3i30000000000
χ232-22-222002-2-2-2-222002-2-2000000002i−2i2i2i−2i−2i00000000000−i2i2000000−i2−i2i2i20002−20
χ242-22-222002-2-2-2-222002-2-2000000002i−2i2i2i−2i−2i00000000000i2−i2000000i2i2−i2−i2000−220
χ252-22-222002-2-2-2-222002-2-200000000−2i2i−2i−2i2i2i00000000000−i2i2000000−i2−i2i2i2000−220
χ262-22-222002-2-2-2-222002-2-200000000−2i2i−2i−2i2i2i00000000000i2−i2000000i2i2−i2−i20002−20
χ272-2-22222-2-2-22-22-2200-2-222-220000-2000000002-2000002i−2i00002i−2i2i−2i0000000000
χ282-2-22222-2-2-22-22-2200-2-222-220000-2000000002-200000−2i2i0000−2i2i−2i2i0000000000
χ292-2-2222-22-2-22-22-222-2-2-22-22-22-22-220000002-2-222-22-2000000000000000000000
χ302-2-2222-22-2-22-22-22-22-2-22-22-2-22-222000000-22-22-22-22000000000000000000000
χ312-2-222-1-22112-2-1-2-12-211-1-2212-22-2-1000000-111-1-11-1100000000000−i3i3−i3i30−i3i3000
χ322-2-222-1-22112-2-1-2-12-211-1-2212-22-2-1000000-111-1-11-1100000000000i3−i3i3−i30i3−i3000
χ332-2-222-1-22112-2-1-2-1-2211-1-221-22-22-10000001-11-11-11-100000000000−i3i3−i3i30i3−i3000
χ342-2-222-1-22112-2-1-2-1-2211-1-221-22-22-10000001-11-11-11-100000000000i3−i3i3−i30−i3i3000
χ352-2-22-122-2-2-2-1121-10011-1-112−i3i3i3−i3-2003−33−300-11−i3i3i3−i302i−2i003−3−ii−ii0000000000
χ362-2-22-122-2-2-2-1121-10011-1-112−i3i3i3−i3-200−33−3300-11−i3i3i3−i30−2i2i00−33i−ii−i0000000000
χ372-2-22-122-2-2-2-1121-10011-1-112i3−i3−i3i3-2003−33−300-11i3−i3−i3i30−2i2i003−3i−ii−i0000000000
χ382-2-22-122-2-2-2-1121-10011-1-112i3−i3−i3i3-200−33−3300-11i3−i3−i3i302i−2i00−33−ii−ii0000000000
χ392-2-22-12-22-2-2-1121-12-211-11-1-2-11-112003−33−32-21-1-11-1100000−333−3−330000000000
χ402-2-22-12-22-2-2-1121-12-211-11-1-2-11-11200−33−332-21-1-11-11000003−3−333−30000000000
χ412-2-22-12-22-2-2-1121-1-2211-11-1-21-11-12003−33−3-221-11-11-100000−33−333−30000000000
χ422-2-22-12-22-2-2-1121-1-2211-11-1-21-11-1200−33−33-221-11-11-1000003−33−3−330000000000
χ4344444-2-4-4-2-244-24-200-2-2-2-4-420000200000000220000000000000000000000000
χ444444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000
χ454444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-20000002211-1-1-1-1000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-2100111222−2i3−2i32i32i3200000000-1-1i3i3−i3−i3000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-21001112222i32i3−2i3−2i3200000000-1-1−i3−i3i3i3000000000000000000000
χ4844-4-44400-44-44-4-4400-44-40000000000000000000000000000000000000000000
χ4944-4-44-2002-2-442-4-2002-220000000000000000000000000000000006−6−66000000
χ5044-4-44-2002-2-442-4-2002-22000000000000000000000000000000000−666−6000000
χ5144-4-4-2400-442-2-42-2002-220000000000−2i32i32i3−2i300000000000000000000000000000
χ5244-4-4-2400-442-2-42-2002-2200000000002i3−2i3−2i32i300000000000000000000000000000
χ534-44-44-200-22-4-424-200-2220000000000000000000000000−2i22i2000000i2i2−i2−i2000000
χ544-44-44-200-22-4-424-200-22200000000000000000000000002i2−2i2000000−i2−i2i2i2000000
χ554-44-4-24004-422-4-2-200-222000000004i−4i−2i−2i2i2i00000000000000000000000000000
χ564-44-4-24004-422-4-2-200-22200000000−4i4i2i2i−2i−2i00000000000000000000000000000
χ574-4-444-24-4224-4-2-4-20022-24-4-20000200000000-220000000000000000000000000
χ584-4-44-2-24-422-22-22100-1-11-22-2−2i32i32i3−2i32000000001-1i3−i3−i3i3000000000000000000000
χ594-4-44-2-24-422-22-22100-1-11-22-22i3−2i3−2i32i32000000001-1−i3i3i3−i3000000000000000000000
χ604-4-44-2-2-4422-22-2214-4-1-112-22-22-22-2000000-22-111-11-1000000000000000000000
χ614-4-44-2-2-4422-22-221-44-1-112-222-22-2-20000002-2-11-11-11000000000000000000000
χ6288-8-8-4-4004-44-444200-22-20000000000000000000000000000000000000000000
χ638-88-8-4-400-44444-42002-2-20000000000000000000000000000000000000000000

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