Finite Group Databasebeta

← Group #10594325

Character table — Group #10594325

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order12223344666666344666121212121212121212121212121244444444121212121212121222441212121244
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111-1-1-11-111111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-11111111-1-1-1-111-1-1-1-111-11-11-1-111-1-1-1-111-1-1-1-111-1-111
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-1-1-11111
χ9111111-1-111111111-1111-1-1-1-11-11-1-1-111-1-11-111-1-11-111-1-111-1-1-1-1111-11-11-1
χ10111111-1-111111111-1111-1-1-1-11-11-1-1-111-1-11-11-1-11-11-1-1-1-1111111-1-11-1-11-11
χ11111111-1-111111111-1111-1-1-1-11-11-1-1-111-1-1-11-111-11-11111-1-1-1-111-1-1-111-1-11
χ12111111-1-111111111-1111-1-1-1-11-11-1-1-111-1-1-11-1-111-11-1-111-1-111-1-111-11-111-1
χ13111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-1111-1-111-1-111111-1-1-1-111-1-11-1-111-1
χ14111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-1111-1-1-1111-1-1-111-1-111-1-1111-11-1-11
χ15111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-111-1111-1-1-1111-1-111-1-1-1-111-11-11-11
χ16111111-1-11111111-11111-1-1-1-1-11-11-1-1-1-111-111-1-111-1-1-1-1-1111111-1-1-111-11-1
χ1722222-1222-12-1-12-122-1-1-122-1-1-1-122-1-1-1-1-1-12220200000-1-1-1-1000000-1-10000
χ1822222-1222-12-1-12-122-1-1-122-1-1-1-122-1-1-1-1-1-1-2-2-20-2000001111000000110000
χ1922222-1222-12-1-12-1-2-2-1-1-122-1-111-2-2-1-1111122-20-2000001111000000-1-10000
χ2022222-1222-12-1-12-1-2-2-1-1-122-1-111-2-2-1-11111-2-220200000-1-1-1-1000000110000
χ2122222-1-2-22-12-1-12-12-2-1-1-1-2-211-112-211-1-1112-220-20000011-1-1000000-110000
χ2222222-1-2-22-12-1-12-12-2-1-1-1-2-211-112-211-1-111-22-20200000-1-1110000001-10000
χ2322222-1-2-22-12-1-12-1-22-1-1-1-2-2111-1-221111-1-12-2-20200000-1-111000000-110000
χ2422222-1-2-22-12-1-12-1-22-1-1-1-2-2111-1-221111-1-1-2220-20000011-1-10000001-10000
χ252222-1222-12-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-100020222-1-10000-1-1000000-1-100
χ262222-1222-12-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1000-20-2-2-2110000110000001100
χ272222-1222-12-122-1-1-2-2-1-1-1-1-122-2-211-1-11111000202-2-2-1-10000-1-10000001100
χ282222-1222-12-122-1-1-2-2-1-1-1-1-122-2-211-1-11111000-20-22211000011000000-1-100
χ292222-12-2-2-12-122-1-12-2-1-1-111-2-22-2-1111-1-11100020-22-2-1-1000011000000-1100
χ302222-12-2-2-12-122-1-12-2-1-1-111-2-22-2-1111-1-111000-202-22110000-1-10000001-100
χ312222-12-2-2-12-122-1-1-22-1-1-111-2-2-221-11111-1-100020-2-22-1-10000110000001-100
χ322222-12-2-2-12-122-1-1-22-1-1-111-2-2-221-11111-1-1000-2022-2110000-1-1000000-1100
χ3322-2-2222-222-2-2-2-2200-22-22-22-200002-2000000000000000000002-22-2000000
χ3422-2-2222-222-2-2-2-2200-22-22-22-200002-200000000000000000000-22-22000000
χ3522-2-222-2222-2-2-2-2200-22-2-22-220000-22000000000000000000002-2-22000000
χ3622-2-222-2222-2-2-2-2200-22-2-22-220000-2200000000000000000000-222-2000000
χ374444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000000
χ384444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-100000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-214-41112222-22-22-1-111-1-100000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-21-4411122222-22-2-1-1-1-11100000000000000000000000000
χ4144-4-44-24-44-2-422-4-2002-224-4-220000-22000000000000000000000000000000
χ4244-4-44-2-444-2-422-4-2002-22-442-200002-2000000000000000000000000000000
χ4344-4-4-244-4-242-4-42-2002-22-224-40000-22000000000000000000000000000000
χ4444-4-4-24-44-242-4-42-2002-222-2-4400002-2000000000000000000000000000000
χ4544-4-4-2-24-4-2-22222100-11-1-22-2200001-13i−3i3i−3i00000000000000000000000000
χ4644-4-4-2-24-4-2-22222100-11-1-22-2200001-1−3i3i−3i3i00000000000000000000000000
χ4744-4-4-2-2-44-2-22222100-11-12-22-20000-113i−3i−3i3i00000000000000000000000000
χ4844-4-4-2-2-44-2-22222100-11-12-22-20000-11−3i3i3i−3i00000000000000000000000000
χ494-44-44400-4-44-44-44004-4-40000000000000000000000000000000000000000
χ504-44-44-200-4242-2-4-200-22200000000000000000000000023−2300000000000000
χ514-44-44-200-4242-2-4-200-222000000000000000000000000−232300000000000000
χ524-44-4-24002-4-2-442-200-2220000000000000000000000−2i32i30000000000000000
χ534-44-4-24002-4-2-442-200-22200000000000000000000002i3−2i30000000000000000
χ544-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000
χ554-4-444-200-42-4-224-20022-20000000000000000000000000023−23000000000000
χ564-4-444-200-42-4-224-20022-200000000000000000000000000−2323000000000000
χ574-4-44-24002-424-4-2-20022-20000000000000000000000000000−2i32i30000000000
χ584-4-44-24002-424-4-2-20022-200000000000000000000000000002i3−2i30000000000
χ598-88-8-4-40044-44-442002-2-20000000000000000000000000000000000000000
χ608-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000000

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