Finite Group Databasebeta

← Group #10593368

Character table — Group #10593368

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1111444444444888812121212181818182424242424242424242436363636
order1222334666666121212124444224424661212121212128888
χ1111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000
χ112-22-2220-2-222-2-20000002i−2i002-2000000002i−2i0000
χ122-22-2220-2-222-2-2000000−2i2i002-200000000−2i2i0000
χ132-22-2220-2-222-2-200002i−2i0000-220000002i−2i000000
χ142-22-2220-2-222-2-20000−2i2i0000-22000000−2i2i000000
χ152-2-22220-2-2-2-222000000002-20000000000002−22−2
χ162-2-22220-2-2-2-222000000002-2000000000000−22−22
χ172-2-22220-2-2-2-22200000000-220000000000002−2−22
χ182-2-22220-2-2-2-22200000000-22000000000000−222−2
χ1944441-241-21-2-2111-2-222220000000000-1-1-1-10000
χ2044441-241-21-2-2111-2-2-2-2-2-2000000000011110000
χ2144441-2-41-21-2-21-1-12222-2-20000000000-1-1110000
χ2244441-2-41-21-2-21-1-122-2-222000000000011-1-10000
χ234444-214-21-211-2-2-2110000000022-1-1-1-100000000
χ244444-214-21-211-2-2-21100000000-2-2111100000000
χ254444-21-4-21-211-222-1-1000000002-2-1-11100000000
χ264444-21-4-21-211-222-1-100000000-2211-1-100000000
χ2744-4-444044-4-4-4-400000000000000000000000000
χ2844-4-4-210-212-1-12003i−3i0000000000−i3i33−300000000
χ2944-4-4-210-212-1-12003i−3i0000000000i3−i3−3300000000
χ3044-4-4-210-212-1-1200−3i3i0000000000−i3i3−3300000000
χ3144-4-4-210-212-1-1200−3i3i0000000000i3−i33−300000000
χ324-44-41-20-121-22-13-3002i−2i2i−2i0000000000−ii−ii0000
χ334-44-41-20-121-22-13-300−2i2i−2i2i0000000000i−ii−i0000
χ344-44-41-20-121-22-1-33002i−2i−2i2i0000000000−iii−i0000
χ354-44-41-20-121-22-1-3300−2i2i2i−2i0000000000i−i−ii0000
χ3688-8-82-402-4-244-200000000000000000000000000
χ378-88-8-4204-2-42-2400000000000000000000000000
χ388-8-882-40-24-24-4200000000000000000000000000
χ398-8-88-4204-24-22-400000000000000000000000000

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