Finite Group Databasebeta

← Group #10593494

Character table — Group #10593494

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1111444444444888812121212181818182424242424242424242436363636
order122223366666666664444444424661212121212128888
χ1111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111-111111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1
χ61111-111111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111
χ71111-111111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111
χ81111-111111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1
χ9222222222222222220000-2-2-2-200000000000000
χ102222-222222222-2-2-2-2000022-2-200000000000000
χ1122-2-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2
χ1222-2-2022-22-22-2-2000000002i−2i000000000000−22i2−i2
χ1322-2-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2
χ1422-2-2022-22-22-2-200000000−2i2i000000000000−22−i2i2
χ152-2-220222-22-2-2-20000002i−2i002-20000002i−2i000000
χ162-2-220222-22-2-2-2000000−2i2i002-2000000−2i2i000000
χ172-2-220222-22-2-2-200002i−2i0000-2200002i−2i00000000
χ182-2-220222-22-2-2-20000−2i2i0000-220000−2i2i00000000
χ19444441-21-2-211-211-2-2222200000000-1-1-1-1000000
χ20444441-21-2-211-211-2-2-2-2-2-2000000001111000000
χ2144444-21-211-2-21-2-2110000000022-1-10000-1-10000
χ2244444-21-211-2-21-2-21100000000-2-2110000110000
χ234444-41-21-2-211-2-1-12222-2-200000000-1-111000000
χ244444-41-21-2-211-2-1-122-2-2220000000011-1-1000000
χ254444-4-21-211-2-2122-1-1000000002-2-1-10000110000
χ264444-4-21-211-2-2122-1-100000000-22110000-1-10000
χ274-44-4044-4-4-4-44400000000000000000000000000
χ284-44-40-212-1-12-21003-30000000000−i3i30000−i3i30000
χ294-44-40-212-1-12-21003-30000000000i3−i30000i3−i30000
χ304-44-40-212-1-12-2100-330000000000−i3i30000i3−i30000
χ314-44-40-212-1-12-2100-330000000000i3−i30000−i3i30000
χ324-4-4401-212-2-1-123-3002i−2i2i−2i00000000−ii−ii000000
χ334-4-4401-212-2-1-123-300−2i2i−2i2i00000000i−ii−i000000
χ344-4-4401-212-2-1-12-33002i−2i−2i2i00000000−iii−i000000
χ354-4-4401-212-2-1-12-3300−2i2i2i−2i00000000i−i−ii000000
χ3688-8-802-4-2-442-2400000000000000000000000000
χ3788-8-80-4242-2-44-200000000000000000000000000
χ388-88-802-4-244-22-400000000000000000000000000
χ398-8-880-42-4-2244-200000000000000000000000000

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