Finite Group Databasebeta

← Group #10594225

Character table — Group #10594225

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order1222334466666623466612121212666612121212121222444444661212121212122244612121224
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11-111-1-111-1-111-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11-1-11-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-11-11111111-1-1-1-1-1-111-1-111-1-11-11-111-1-111-1-1-1-1-1-11-1-1111
χ611111111111111-11-11111111-1-1-1-1-1-111-1-11-1-111-1-11111111111111-1-1-1-1-1-1
χ711111111111111-11-11111111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111-11-11111111-1-1-1-1-1-111-1-1-1-111-11-11-1-111-1-111-1-1-1-1-111-111
χ9111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-1-1111-11-1-11
χ10111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-11-1-11-111-11111-1-1-1-111-1-1-1-1111-1
χ11111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-111-11-1-11-1-1-1-1111111-1-111-1-11-1
χ12111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111-11-11-11
χ13111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-11
χ14111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-1111-11-1-1-11111-1-1-1-111-1-111-11-111-1
χ15111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-111-11-1111-1-1-1-11111-1-1-1-1111-11-11-1
χ16111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11
χ1722222-1222-12-12-12-12-1-1-122-1-12-1-1-1-12-1-1-1-120202200-1-100-1-10000000-1-1000
χ1822222-1222-12-12-12-12-1-1-122-1-12-1-1-1-12-1-1-1-1-20-20-2-200110011000000011000
χ1922222-1222-12-12-1-2-1-2-1-1-122-1-1-21111-2-1-11120-202-200-1-100-1-1000000011000
χ2022222-1222-12-12-1-2-1-2-1-1-122-1-1-21111-2-1-111-2020-22001100110000000-1-1000
χ2122222-1-2-22-12-12-12-1-2-1-1-1-2-2112-1-1-11-2111120-20-2200-1-1001100000001-1000
χ2222222-1-2-22-12-12-12-1-2-1-1-1-2-2112-1-1-11-21111-20202-2001100-1-10000000-11000
χ2322222-1-2-22-12-12-1-2-12-1-1-1-2-211-2111-1211-1-12020-2-200-1-100110000000-11000
χ2422222-1-2-22-12-12-1-2-12-1-1-1-2-211-2111-1211-1-1-20-2022001100-1-100000001-1000
χ252222-1222-12-12-122-12-1-1-1-1-122-12-1-12-1-1-1-1-10202002200-1-100-1-10000-100-100
χ262222-1222-12-12-122-12-1-1-1-1-122-12-1-12-1-1-1-1-10-20-200-2-2001100110000100100
χ272222-1222-12-12-12-2-1-2-1-1-1-1-1221-211-21-1-111020-2002-2001100110000-100-100
χ282222-1222-12-12-12-2-1-2-1-1-1-1-1221-211-21-1-1110-20200-2200-1-100-1-10000100100
χ292222-12-2-2-12-12-122-1-2-1-1-111-2-2-12-1-1-211111020-200-22001100-1-10000-100100
χ302222-12-2-2-12-12-122-1-2-1-1-111-2-2-12-1-1-2111110-202002-200-1-100110000100-100
χ312222-12-2-2-12-12-12-2-12-1-1-111-2-21-2112-111-1-1020200-2-200-1-100110000-100100
χ322222-12-2-2-12-12-12-2-12-1-1-111-2-21-2112-111-1-10-20-20022001100-1-10000100-100
χ3322-2-2222i−2i-2-222-2-20202-2-22i−2i2i−2i0000002i−2i0000000000000000002-22i−2i000000
χ3422-2-2222i−2i-2-222-2-20202-2-22i−2i2i−2i0000002i−2i000000000000000000-22−2i2i000000
χ3522-2-222−2i2i-2-222-2-20202-2-2−2i2i−2i2i000000−2i2i0000000000000000002-2−2i2i000000
χ3622-2-222−2i2i-2-222-2-20202-2-2−2i2i−2i2i000000−2i2i000000000000000000-222i−2i000000
χ374444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-211-2-2111100000000000000000000000000
χ384444-2-244-2-2-2-2-2-2-41-4111-2-2-2-222-1-12211-1-100000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-241-41112222-2-21122-1-1-1-100000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-2-414111222222-1-1-2-2-1-11100000000000000000000000000
χ4144-4-44-24i−4i-424-2-420-20-2224i−4i−2i2i000000−2i2i0000000000000000000000000000
χ4244-4-44-2−4i4i-424-2-420-20-222−4i4i2i−2i0000002i−2i0000000000000000000000000000
χ4344-4-4-244i−4i2-4-242-40-20-222−2i2i4i−4i000000−2i2i0000000000000000000000000000
χ4444-4-4-24−4i4i2-4-242-40-20-2222i−2i−4i4i0000002i−2i0000000000000000000000000000
χ4544-4-4-2-24i−4i22-2-2220101-1-1−2i2i−2i2i003-300i−i3i−3i00000000000000000000000000
χ4644-4-4-2-24i−4i22-2-2220101-1-1−2i2i−2i2i00-3300i−i−3i3i00000000000000000000000000
χ4744-4-4-2-2−4i4i22-2-2220101-1-12i−2i2i−2i003-300−ii−3i3i00000000000000000000000000
χ4844-4-4-2-2−4i4i22-2-2220101-1-12i−2i2i−2i00-3300−ii3i−3i00000000000000000000000000
χ494-44-444004-4-4-4-44040-44-40000000000000000000000000000000000000000
χ504-44-44-20042-42-4-20-202-220000000000000000000000−2i32i30000000000000000
χ514-44-44-20042-42-4-20-202-2200000000000000000000002i3−2i30000000000000000
χ524-44-4-2400-2-42-4240-202-2200000000000000000000000023−2300000000000000
χ534-44-4-2400-2-42-4240-202-22000000000000000000000000−232300000000000000
χ544-4-444400-44-4-44-4040-4-440000000000000000000000000000000000000000
χ554-4-444-200-4-2-42420-2022-20000000000000000000000000023−23000000000000
χ564-4-444-200-4-2-42420-2022-200000000000000000000000000−2323000000000000
χ574-4-44-2400242-4-2-40-2022-20000000000000000000000000000−2i32i30000000000
χ584-4-44-2400242-4-2-40-2022-200000000000000000000000000002i3−2i30000000000
χ598-88-8-4-400-44444-4020-22-20000000000000000000000000000000000000000
χ608-8-88-4-4004-444-44020-2-220000000000000000000000000000000000000000

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