Finite Group Databasebeta

← Group #10594121

Character table — Group #10594121

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222244444444444666688888888881212121212121212121212121212181824242424363636
order122233666666234466612121212224466661212121212122444446666121212124412121212444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111111111-11-111-111-1-111-1-1-1-11-11-1-1-1-1
χ311111111111111111111111-1-11111111111111-11-1-11-1-111-1-111-1-1-11-11-1-1-1
χ411111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1
χ611111111111111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-11-1-11-111111-1-1-1-1-1-1-1-1111-11
χ711111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-111-1-11-11
χ811111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1111-1-11-11-1
χ9111111111111-111-111111-1-11111-1-1-1-11-111-1-1-1-1-1-11111-1-1111111-1-1-11-1-11
χ10111111111111-111-111111-1-111-1-1-1-1-1-11-111-1-11-11-11-1111111-1-1-1-1-11-1-111-1
χ11111111111111-111-111111-1-1-1-111-1-1-1-11-111-1-1-11-11-11-1-1-1-1-1-111-1-11-11111-1
χ12111111111111-111-111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-111111-1-1-11
χ13111111111111-11-11111-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-111111-1-1-11-1-1
χ14111111111111-11-11111-1-11111-1-1-1-1-1-1-11-1-111-111-1-1111-1-1-1-1-1-1-1-111-11-111
χ15111111111111-11-11111-1-111-1-111-1-1-1-1-11-1-1111-1-111-1-1-1111111-1-1-1-11-1-111
χ16111111111111-11-11111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-111-11111-1-1
χ1722222-12-12-12-12-122-1-1-122-1-100222-1-1-1-12-1-1-1-120200200-1-100-1-1000-10-1000
χ1822222-12-12-12-12-122-1-1-122-1-100-2-22-1-1-1-12-1-1-1-1-20-200-200110011000101000
χ1922222-12-12-12-12-1-2-2-1-1-1-2-21100222-1-1-11-21111-20200-2001100-1-1000-101000
χ2022222-12-12-12-12-1-2-2-1-1-1-2-21100-2-22-1-1-11-2111120-200200-1-1001100010-1000
χ2122222-12-12-12-1-2-12-2-1-1-122110022-2111-1-2-1-111-20-2002001100-1-100010-1000
χ2222222-12-12-12-1-2-12-2-1-1-1221100-2-2-2111-1-2-1-11120200-200-1-10011000-101000
χ2322222-12-12-12-1-2-1-22-1-1-1-2-2-1-10022-21111211-1-120-200-200-1-100-1-1000101000
χ2422222-12-12-12-1-2-1-22-1-1-1-2-2-1-100-2-2-21111211-1-1-20200200110011000-10-1000
χ252222-12-12-12-122-122-1-1-1-1-1222200-12-1-12-1-1-1-1-1020220-1-100-1-10000-10-10000
χ262222-12-12-12-122-122-1-1-1-1-122-2-200-12-1-12-1-1-1-1-10-20-2-2011001100001010000
χ272222-12-12-12-122-1-2-2-1-1-111-2-22200-12-1-1-2111110-202-20-1-10011000010-10000
χ282222-12-12-12-122-1-2-2-1-1-111-2-2-2-200-12-1-1-211111020-2201100-1-10000-1010000
χ292222-12-12-12-12-2-12-2-1-1-1-1-1-2-222001-21121-1-1110-20-220-1-100-1-100001010000
χ302222-12-12-12-12-2-12-2-1-1-1-1-1-2-2-2-2001-21121-1-1110202-201100110000-10-10000
χ312222-12-12-12-12-2-1-22-1-1-1112222001-211-2-111-1-1020-2-20-1-100110000-1010000
χ322222-12-12-12-12-2-1-22-1-1-11122-2-2001-211-2-111-1-10-202201100-1-1000010-10000
χ332-22-222-22-2-22-20200-22-200002-22i−2i00000000000000002-200002i−2i2i−2i0000000
χ342-22-222-22-2-22-20200-22-200002-2−2i2i00000000000000002-20000−2i2i−2i2i0000000
χ352-22-222-22-2-22-20200-22-20000-222i−2i0000000000000000-2200002i−2i−2i2i0000000
χ362-22-222-22-2-22-20200-22-20000-22−2i2i0000000000000000-220000−2i2i2i−2i0000000
χ374444-2-2-2-2-2-2-2-24144111-2-2-2-20000-2-211-2-2111100000000000000000000000
χ384444-2-2-2-2-2-2-2-241-4-411122220000-2-21122-1-1-1-100000000000000000000000
χ394444-2-2-2-2-2-2-2-2-414-4111-2-222000022-1-1-2211-1-100000000000000000000000
χ404444-2-2-2-2-2-2-2-2-41-4411122-2-2000022-1-12-2-1-11100000000000000000000000
χ4144-4-444-4-444-4-404004-4-400000000000000000000000000000000000000000
χ4244-4-44-2-424-2-420-200-2220023−2300000000000023−2300000000000000000000000
χ4344-4-44-2-424-2-420-200-22200−2323000000000000−232300000000000000000000000
χ4444-4-4-242-4-242-40-200-22223−2300000000000023−230000000000000000000000000
χ4544-4-4-242-4-242-40-200-222−2323000000000000−23230000000000000000000000000
χ4644-4-4-2-222-2-22201001-1-123−2323−230000003-300−33−3300000000000000000000000
χ4744-4-4-2-222-2-22201001-1-123−23−2323000000-3300−333−300000000000000000000000
χ4844-4-4-2-222-2-22201001-1-1−232323−23000000-33003−3−3300000000000000000000000
χ4944-4-4-2-222-2-22201001-1-1−2323−23230000003-3003−33−300000000000000000000000
χ504-44-44-2-4-2-42420-2002-220000004i−4i0000000000000000000000−2i2i000000000
χ514-44-44-2-4-2-42420-2002-22000000−4i4i00000000000000000000002i−2i000000000
χ524-44-4-24242-4-2-40-2002-2200004-4000000000000000000-22000000000000000
χ534-44-4-24242-4-2-40-2002-220000-440000000000000000002-2000000000000000
χ544-4-44444-4-4-4-440400-4-4400000000000000000000000000000000000000000
χ554-4-444-242-42-4-20-20022-200000000000000000000000000−2i32i30000000000000
χ564-4-444-242-42-4-20-20022-2000000000000000000000000002i3−2i30000000000000
χ574-4-44-24-2-42-4240-20022-2000000000000000000000000000023−2300000000000
χ584-4-44-24-2-42-4240-20022-20000000000000000000000000000−232300000000000
χ598-88-8-4-44-444-440200-22-200000000000000000000000000000000000000000
χ608-8-88-4-4-44444-40200-2-2200000000000000000000000000000000000000000

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