Finite Group Databasebeta

← Group #10594306

Character table — Group #10594306

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order122233446666662346661212121266661212121212122224444466121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111-1-11-1111-1-1-111-1-111-1-1-1-11-1-11-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-11-11111111-1-1-1-1-1-111-1-11-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ611111111111111-11-11111111-1-1-1-1-1-111-1-11-1-11-111-1-1-111-1-111-1-1-1-1-111-111
χ711111111111111-11-11111111-1-1-1-1-1-111-1-1-111-11-1-1111-1-111-1-1-1-1-1-11-1-1111
χ811111111111111-11-11111111-1-1-1-1-1-111-1-1-11-1-1-1111111111111111-1-1-1-1-1-1
χ9111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-11-11-1-11-11-1-1-1-1111111-1-111-1-11-1
χ10111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-11-1-1-11-111-1-11111-1-1-1-111-11-11-11
χ11111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1111-11-1-111-1-1-1-111-1-1111-11-1-11
χ12111111-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-11-111-11-11111-1-1-1-111-1-1-1-1111-1
χ13111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-111-1-111-1-1-11
χ14111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-11-111-1
χ15111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1111-11-11-1
χ16111111-1-1111111-111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-11-1-1-1-1111111-1-1-1-111-11
χ1722222-122-122-1-122-12-1-1-122-1-12-1-1-1-12-1-1-1-122020002-1-100-1-10000000-1-1000
χ1822222-122-122-1-122-12-1-1-122-1-12-1-1-1-12-1-1-1-1-2-20-2000-2110011000000011000
χ1922222-122-122-1-12-2-1-2-1-1-122-1-1-21111-2-1-1112-202000-21100110000000-1-1000
χ2022222-122-122-1-12-2-1-2-1-1-122-1-1-21111-2-1-111-220-20002-1-100-1-1000000011000
χ2122222-1-2-2-122-1-122-1-2-1-1-1-2-2112-1-1-11-211112-20-200021100-1-10000000-11000
χ2222222-1-2-2-122-1-122-1-2-1-1-1-2-2112-1-1-11-21111-2202000-2-1-1001100000001-1000
χ2322222-1-2-2-122-1-12-2-12-1-1-1-2-211-2111-1211-1-1220-2000-2-1-100110000000-11000
χ2422222-1-2-2-122-1-12-2-12-1-1-1-2-211-2111-1211-1-1-2-20200021100-1-100000001-1000
χ252222-12222-1-122-12-12-1-1-1-1-122-12-1-12-1-1-1-1-10020222000-1-100-1-10000-100-100
χ262222-12222-1-122-12-12-1-1-1-1-122-12-1-12-1-1-1-1-100-20-2-2-20001100110000100100
χ272222-12222-1-122-1-2-1-2-1-1-1-1-1221-211-21-1-11100202-2-20001100110000-100-100
χ282222-12222-1-122-1-2-1-2-1-1-1-1-1221-211-21-1-11100-20-222000-1-100-1-10000100100
χ292222-12-2-22-1-122-12-1-2-1-1-111-2-2-12-1-1-2111110020-22-20001100-1-10000-100100
χ302222-12-2-22-1-122-12-1-2-1-1-111-2-2-12-1-1-21111100-202-22000-1-100110000100-100
χ312222-12-2-22-1-122-1-2-12-1-1-111-2-21-2112-111-1-10020-2-22000-1-100110000-100100
χ322222-12-2-22-1-122-1-2-12-1-1-111-2-21-2112-111-1-100-2022-20001100-1-10000100-100
χ332-22-2222i−2i2-22-2-2-20202-2-22i−2i2i−2i0000002i−2i0000000000000000002-22i−2i000000
χ342-22-2222i−2i2-22-2-2-20202-2-22i−2i2i−2i0000002i−2i000000000000000000-22−2i2i000000
χ352-22-222−2i2i2-22-2-2-20202-2-2−2i2i−2i2i000000−2i2i0000000000000000002-2−2i2i000000
χ362-22-222−2i2i2-22-2-2-20202-2-2−2i2i−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
χ4144-4-44400-4-4-44-44040-44-40000000000000000000000000000000000000000
χ4244-4-44-2002-4-4-2240-202-220000000000000000000000−2i32i30000000000000000
χ4344-4-44-2002-4-4-2240-202-2200000000000000000000002i3−2i30000000000000000
χ4444-4-4-2400-4224-4-20-202-220000000000000000000000000000−2i32i30000000000
χ4544-4-4-2400-4224-4-20-202-2200000000000000000000000000002i3−2i30000000000
χ464-44-44-24i−4i-2-4422-40-20-2224i−4i−2i2i000000−2i2i0000000000000000000000000000
χ474-44-44-2−4i4i-2-4422-40-20-222−4i4i2i−2i0000002i−2i0000000000000000000000000000
χ484-44-4-244i−4i42-2-4-420-20-222−2i2i4i−4i000000−2i2i0000000000000000000000000000
χ494-44-4-24−4i4i42-2-4-420-20-2222i−2i−4i4i0000002i−2i0000000000000000000000000000
χ504-44-4-2-24i−4i-22-22220101-1-1−2i2i−2i2i003-300i−i3i−3i00000000000000000000000000
χ514-44-4-2-24i−4i-22-22220101-1-1−2i2i−2i2i00-3300i−i−3i3i00000000000000000000000000
χ524-44-4-2-2−4i4i-22-22220101-1-12i−2i2i−2i003-300−ii−3i3i00000000000000000000000000
χ534-44-4-2-2−4i4i-22-22220101-1-12i−2i2i−2i00-3300−ii3i−3i00000000000000000000000000
χ544-4-444400-44-4-44-4040-4-440000000000000000000000000000000000000000
χ554-4-444-20024-42-2-40-2022-200000000000000000000000000−2i32i3000000000000
χ564-4-444-20024-42-2-40-2022-2000000000000000000000000002i3−2i3000000000000
χ574-4-44-2400-4-22-4420-2022-200000000000000000000000023−2300000000000000
χ584-4-44-2400-4-22-4420-2022-2000000000000000000000000−232300000000000000
χ5988-8-8-4-400444-44-4020-22-20000000000000000000000000000000000000000
χ608-8-88-4-4004-444-44020-2-220000000000000000000000000000000000000000

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