Finite Group Databasebeta

← Group #10593524

Character table — Group #10593524

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size1111444444444888812121212181818182424242424242424242436363636
order122223366666666662244444444661212121212128888
χ1111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ61111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111
χ71111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111
χ81111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000
χ102222-222222222-2-2-2-2000022-2-200000000000000
χ112-22-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2
χ122-22-2022-22-22-2-2000000002i−2i000000000000−22i2−i2
χ132-22-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2
χ142-22-2022-22-22-2-200000000−2i2i000000000000−22−i2i2
χ152-2-22022-2-2-2-2220000002-2002-200002-200000000
χ162-2-22022-2-2-2-222000000-22002-20000-2200000000
χ172-2-22022-2-2-2-22200002-20000-22002-20000000000
χ182-2-22022-2-2-2-2220000-220000-2200-220000000000
χ19444441-21-2-211-211-2-200000000220000-1-1-1-10000
χ20444441-21-2-211-211-2-200000000-2-2000011110000
χ2144444-21-211-2-21-2-2112222000000-1-1-1-100000000
χ2244444-21-211-2-21-2-211-2-2-2-2000000111100000000
χ234444-41-21-2-211-2-1-122000000002-20000-1-1110000
χ244444-41-21-2-211-2-1-12200000000-22000011-1-10000
χ254444-4-21-211-2-2122-1-122-2-2000000-1-11100000000
χ264444-4-21-211-2-2122-1-1-2-22200000011-1-100000000
χ2744-4-401-212-2-1-123-300000000000000003−33−30000
χ2844-4-401-212-2-1-123-30000000000000000−33−330000
χ2944-4-401-212-2-1-12-3300000000000000003−3−330000
χ3044-4-401-212-2-1-12-330000000000000000−333−30000
χ3144-4-40444-44-4-4-400000000000000000000000000
χ324-4-440-212-1-12-21003-32-22-2000000-11-1100000000
χ334-4-440-212-1-12-21003-3-22-220000001-11-100000000
χ344-4-440-212-1-12-2100-332-2-22000000-111-100000000
χ354-4-440-212-1-12-2100-33-222-20000001-1-1100000000
χ3688-8-80-42-4-2244-200000000000000000000000000
χ378-88-802-4-2-442-2400000000000000000000000000
χ388-88-80-4242-2-44-200000000000000000000000000
χ398-8-8802-4-244-22-400000000000000000000000000

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