Finite Group Databasebeta

← Group #10595126

Character table — Group #10595126

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order1222334466666622366612121212666666661212244444446612121212121244441212121244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-111-111-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ611111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111111-1-1-1-1-1-1
χ711111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ9111111-1-11111111-11111-1-1-1-11-11-111-1-1-1-11-11-111-1-11111-1-1-1-1-1-1111-11-11-1
χ10111111-1-11111111-11111-1-1-1-11-11-111-1-1-1-11-1-11-11-1111-1-111-1-111-1-11-1-11-11
χ11111111-1-11111111-11111-1-1-1-11-11-111-1-1-1-1-111-11-11-1-1-111-1-11111-1-1-111-1-11
χ12111111-1-11111111-11111-1-1-1-11-11-111-1-1-1-1-11-11-1-111-1-1-1-11111-1-111-11-111-1
χ13111111-1-1111111-111111-1-1-1-1-11-11-1-111-1-11-11-1-1-11111-1-111-1-111-1-1-111-11-1
χ14111111-1-1111111-111111-1-1-1-1-11-11-1-111-1-11-1-111-11-11111-1-1-1-1-1-111-11-11-11
χ15111111-1-1111111-111111-1-1-1-1-11-11-1-111-1-1-111-1-11-11-1-1-1-11111-1-1111-11-1-11
χ16111111-1-1111111-111111-1-1-1-1-11-11-1-111-1-1-11-1111-1-1-1-111-1-11111-1-11-1-111-1
χ1722222-122-122-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000220-1-10000-1-10000-1-10000
χ1822222-122-122-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2000-2-20110000110000110000
χ1922222-122-122-1-12-2-2-1-1-1-1-1-122-2-2111111-1-122000-2-20-1-10000-1-10000110000
χ2022222-122-122-1-12-2-2-1-1-1-1-1-122-2-2111111-1-1-2-2000220110000110000-1-10000
χ2122222-1-2-2-122-1-122-2-1-1-1-111-2-22-2-11-1-111112-20002-20-1-10000110000-110000
χ2222222-1-2-2-122-1-122-2-1-1-1-111-2-22-2-11-1-11111-22000-220110000-1-100001-10000
χ2322222-1-2-2-122-1-12-22-1-1-1-111-2-2-221-111-1-1112-2000-220-1-100001100001-10000
χ2422222-1-2-2-122-1-12-22-1-1-1-111-2-2-221-111-1-111-220002-20110000-1-10000-110000
χ252222-12222-1-122-122-1-1-1-122-1-1-1-122-1-1-1-1-1-10022200200-1-1-1-100000000-1-100
χ262222-12222-1-122-122-1-1-1-122-1-1-1-122-1-1-1-1-1-100-2-2-200-2001111000000001100
χ272222-12222-1-122-1-2-2-1-1-1-122-1-111-2-21111-1-10022-200-200111100000000-1-100
χ282222-12222-1-122-1-2-2-1-1-1-122-1-111-2-21111-1-100-2-2200200-1-1-1-1000000001100
χ292222-12-2-22-1-122-12-2-1-1-1-1-2-211-112-2-1-11111002-2200-200-1-11100000000-1100
χ302222-12-2-22-1-122-12-2-1-1-1-1-2-211-112-2-1-1111100-22-20020011-1-1000000001-100
χ312222-12-2-22-1-122-1-22-1-1-1-1-2-2111-1-2211-1-111002-2-20020011-1-100000000-1100
χ322222-12-2-22-1-122-1-22-1-1-1-1-2-2111-1-2211-1-11100-22200-200-1-111000000001-100
χ3322-2-2222-2-2-2-22-22002-2-222-22-2000000002-200000000000000002i−2i2i−2i000000
χ3422-2-2222-2-2-2-22-22002-2-222-22-2000000002-20000000000000000−2i2i−2i2i000000
χ3522-2-222-22-2-2-22-22002-2-22-22-2200000000-2200000000000000002i−2i−2i2i000000
χ3622-2-222-22-2-2-22-22002-2-22-22-2200000000-220000000000000000−2i2i2i−2i000000
χ374444-2-244-2-2-2-2-2-2441111-2-2-2-2-2-2-2-211111100000000000000000000000000
χ384444-2-244-2-2-2-2-2-2-4-41111-2-2-2-22222-1-1-1-11100000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-24-411112222-22-2211-1-1-1-100000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-2-44111122222-22-2-1-111-1-100000000000000000000000000
χ4144-4-44-24-42-4-4-22400-222-2-224-400000000-2200000000000000000000000000
χ4244-4-44-2-442-4-4-22400-222-22-2-44000000002-200000000000000000000000000
χ4344-4-4-244-4-4224-4-200-222-24-4-2200000000-2200000000000000000000000000
χ4444-4-4-24-44-4224-4-200-222-2-442-2000000002-200000000000000000000000000
χ4544-4-4-2-24-4222-22-2001-1-11-22-2200003-33-31-100000000000000000000000000
χ4644-4-4-2-24-4222-22-2001-1-11-22-220000-33-331-100000000000000000000000000
χ4744-4-4-2-2-44222-22-2001-1-112-22-200003-3-33-1100000000000000000000000000
χ4844-4-4-2-2-44222-22-2001-1-112-22-20000-333-3-1100000000000000000000000000
χ494-44-4440044-4-4-4-40044-4-40000000000000000000000000000000000000000
χ504-44-44-200-24-422-400-2-222000000000000000000000000000023−230000000000
χ514-44-44-200-24-422-400-2-2220000000000000000000000000000−23230000000000
χ524-44-4-24004-22-4-4200-2-2220000000000000000000000000023−23000000000000
χ534-44-4-24004-22-4-4200-2-22200000000000000000000000000−2323000000000000
χ544-4-444400-4-44-44-4004-44-40000000000000000000000000000000000000000
χ554-4-444-2002-442-2-400-22-220000000000000000000000−2i32i30000000000000000
χ564-4-444-2002-442-2-400-22-2200000000000000000000002i3−2i30000000000000000
χ574-4-44-2400-42-2-44200-22-2200000000000000000000000023−2300000000000000
χ584-4-44-2400-42-2-44200-22-22000000000000000000000000−232300000000000000
χ598-88-8-4-400-4-444440022-2-20000000000000000000000000000000000000000
χ608-8-88-4-40044-44-44002-22-20000000000000000000000000000000000000000

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