Finite Group Databasebeta

← Group #10594599

Character table — Group #10594599

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order12223344666666344666121212121212121212121212121244444444121212121212121244441212121224
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1-11-111-1-111-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111111111-11-1-111-11-1-111-1-111-1-1-1-1-11-11-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-11111111-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ6111111111111111-1-11111111-1-1-1-1-1-111-1-11-11-1-11-11-1-111-1-111-1-1-1-11-11-111
χ7111111111111111-1-11111111-1-1-1-1-1-111-1-1-11-111-11-111-1-111-1-1-1-1-1-1-11-1111
χ8111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-1-11-1111111111111111-1-1-1-1-1-1
χ9111111-1-111111111-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-11
χ10111111-1-111111111-1111-1-1-1-111-1-1-1-1-1-1111-1-1-1111-111-1-1-1-111-1-1111-1-111-1
χ11111111-1-111111111-1111-1-1-1-111-1-1-1-1-1-111-1111-1-1-11-1-11111-1-1-1-111-111-11-1
χ12111111-1-111111111-1111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-11
χ13111111-1-11111111-11111-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-1111111-1-111-1-11-1
χ14111111-1-11111111-11111-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-11111-1-1-1-1111-1-11-11
χ15111111-1-11111111-11111-1-1-1-1-1-11111-1-1-1-1-111-1-111-111-1-1-1-111-1-111-111-1-11
χ16111111-1-11111111-11111-1-1-1-1-1-11111-1-1-1-1-1-11-11-1111111-1-1-1-111-1-1-1-1111-1
χ1722222-1222-12-12-1-122-1-1-122-1-12-12-1-1-1-1-1-1-10200220200-1-100-1-100000-10-100
χ1822222-1222-12-12-1-122-1-1-122-1-12-12-1-1-1-1-1-1-10-200-2-20-2001100110000010100
χ1922222-1222-12-12-1-1-2-2-1-1-122-1-1-21-2111-1-11102002-20-20011001100000-10-100
χ2022222-1222-12-12-1-1-2-2-1-1-122-1-1-21-2111-1-1110-200-220200-1-100-1-10000010100
χ2122222-1-2-22-12-12-1-12-2-1-1-1-2-2112-1-211111-1-10200-2-20200-1-1001100000-10100
χ2222222-1-2-22-12-12-1-12-2-1-1-1-2-2112-1-211111-1-10-200220-2001100-1-10000010-100
χ2322222-1-2-22-12-12-1-1-22-1-1-1-2-211-212-1-1-111110200-220-2001100-1-100000-10100
χ2422222-1-2-22-12-12-1-1-22-1-1-1-2-211-212-1-1-111110-2002-20200-1-100110000010-100
χ252222-1222-12-12-12-122-1-1-1-1-122-12-12-1-1-1-1-1-120220020-1-100-1-1000000-10-1000
χ262222-1222-12-12-12-122-1-1-1-1-122-12-12-1-1-1-1-1-1-20-2-200-20110011000000101000
χ272222-1222-12-12-12-1-2-2-1-1-1-1-1221-21-211-1-111202-200-20110011000000-10-1000
χ282222-1222-12-12-12-1-2-2-1-1-1-1-1221-21-211-1-111-20-220020-1-100-1-1000000101000
χ292222-12-2-2-12-12-12-12-2-1-1-111-2-2-121-21111-1-120-2-20020-1-10011000000-101000
χ302222-12-2-2-12-12-12-12-2-1-1-111-2-2-121-21111-1-1-202200-201100-1-100000010-1000
χ312222-12-2-2-12-12-12-1-22-1-1-111-2-21-2-12-1-1111120-2200-201100-1-1000000-101000
χ322222-12-2-2-12-12-12-1-22-1-1-111-2-21-2-12-1-11111-202-20020-1-1001100000010-1000
χ332-22-2222i−2i-2-2-2-222200-22-22i−2i2i−2i0000002i−2i0000000000000000002-22i−2i000000
χ342-22-2222i−2i-2-2-2-222200-22-22i−2i2i−2i0000002i−2i000000000000000000-22−2i2i000000
χ352-22-222−2i2i-2-2-2-222200-22-2−2i2i−2i2i000000−2i2i0000000000000000002-2−2i2i000000
χ362-22-222−2i2i-2-2-2-222200-22-2−2i2i−2i2i000000−2i2i000000000000000000-222i−2i000000
χ374444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000000
χ384444-2-244-2-2-2-2-2-21-4-4111-2-2-2-22222-1-111-1-100000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-214-41112222-2-222-1-1-1-11100000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-21-44111222222-2-211-1-1-1-100000000000000000000000000
χ4144-4-44400-4-444-4-4400-4-440000000000000000000000000000000000000000
χ4244-4-44-200-424-2-42-20022-2000000000000000000000000000023−230000000000
χ4344-4-44-200-424-2-42-20022-20000000000000000000000000000−23230000000000
χ4444-4-4-24002-4-242-4-20022-20000000000000000000000000023−23000000000000
χ4544-4-4-24002-4-242-4-20022-200000000000000000000000000−2323000000000000
χ464-44-44-24i−4i-42-424-2-2002-224i−4i−2i2i000000−2i2i0000000000000000000000000000
χ474-44-44-2−4i4i-42-424-2-2002-22−4i4i2i−2i0000002i−2i0000000000000000000000000000
χ484-44-4-244i−4i2-42-4-24-2002-22−2i2i4i−4i000000−2i2i0000000000000000000000000000
χ494-44-4-24−4i4i2-42-4-24-2002-222i−2i−4i4i0000002i−2i0000000000000000000000000000
χ504-44-4-2-24i−4i2222-2-2100-11-1−2i2i−2i2i00003-3i−i3i−3i00000000000000000000000000
χ514-44-4-2-24i−4i2222-2-2100-11-1−2i2i−2i2i0000-33i−i−3i3i00000000000000000000000000
χ524-44-4-2-2−4i4i2222-2-2100-11-12i−2i2i−2i00003-3−ii−3i3i00000000000000000000000000
χ534-44-4-2-2−4i4i2222-2-2100-11-12i−2i2i−2i0000-33−ii3i−3i00000000000000000000000000
χ544-4-44440044-4-4-4-44004-4-40000000000000000000000000000000000000000
χ554-4-444-2004-2-42-42-200-222000000000000000000000000−2i32i300000000000000
χ564-4-444-2004-2-42-42-200-2220000000000000000000000002i3−2i300000000000000
χ574-4-44-2400-242-42-4-200-2220000000000000000000000−2i32i30000000000000000
χ584-4-44-2400-242-42-4-200-22200000000000000000000002i3−2i30000000000000000
χ5988-8-8-4-40044-4-444200-2-220000000000000000000000000000000000000000
χ608-8-88-4-400-4-444442002-2-20000000000000000000000000000000000000000

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