Finite Group Databasebeta

← Group #11792571

Character table — Group #11792571

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11114888899991616181818182424242436363636363636363636364848484872727272
order12224366622221212444422224448888888866664444
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-111111111-1-1111111-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111-111111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111-111111111-1-11111-1-111-1-1-11111-1-1-1-1-1-111-1-111
χ81111-111111111-1-11111-1-111-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222222222-2-2-2-200002-2-20000000000000000
χ10222222222-2-2-2-22200000000-200i2i2−i2−i2i2i2−i2−i200000000
χ11222222222-2-2-2-22200000000-200−i2−i2i2i2−i2−i2i2i200000000
χ122222-222222222-2-2-2-2-2-20000-2220000000000000000
χ132222-22222-2-2-2-2-2-200000000200i2i2−i2−i2−i2−i2i2i200000000
χ142222-22222-2-2-2-2-2-200000000200−i2−i2i2i2i2i2−i2−i200000000
χ1522-2-2022-2-222-2-2000000000002-2i2−i2i2−i2i2−i2i2−i200000000
χ1622-2-2022-2-222-2-2000000000002-2−i2i2−i2i2−i2i2−i2i200000000
χ1722-2-2022-2-222-2-200000000000-22i2−i2i2−i2−i2i2−i2i200000000
χ1822-2-2022-2-222-2-200000000000-22−i2i2−i2i2i2−i2i2−i200000000
χ1922-2-2022-2-2-2-222002-22-2000000000002-2-2200000000
χ2022-2-2022-2-2-2-222002-22-200000000000-222-200000000
χ2122-2-2022-2-2-2-22200-22-2200000002-2-22000000000000
χ2222-2-2022-2-2-2-22200-22-220000000-222-2000000000000
χ232-22-202-22-22-2-220022-2-200000000000000000002i−2i00
χ242-22-202-22-22-2-220022-2-20000000000000000000−2i2i00
χ252-22-202-22-22-2-2200-2-2220000000000000000000002-2
χ262-22-202-22-22-2-2200-2-222000000000000000000000-22
χ272-2-2202-2-22-22-22002-2-22002-200000000000002-20000
χ282-2-2202-2-22-22-22002-2-2200-220000000000000-220000
χ292-2-2202-2-22-22-2200-222-22-200000000000002-2000000
χ302-2-2202-2-22-22-2200-222-2-220000000000000-22000000
χ314-44-404-44-4-444-400000000000000000000000000000
χ324-4-4404-4-444-44-400000000000000000000000000000
χ3388888-1-1-1-10000-1-10000222200000000000-1-1-1-10000
χ3488888-1-1-1-10000-1-10000-2-2-2-20000000000011110000
χ358888-8-1-1-1-1000011000022-2-200000000000-1-1110000
χ368888-8-1-1-1-10000110000-2-2220000000000011-1-10000
χ378-8-880-111-100003-300002-22-200000000000-11-110000
χ388-8-880-111-100003-30000-22-22000000000001-11-10000
χ398-8-880-111-10000-3300002-2-2200000000000-111-10000
χ408-8-880-111-10000-330000-222-2000000000001-1-110000
χ411616-16-160-2-222000000000000000000000000000000000
χ4216-1616-160-22-22000000000000000000000000000000000

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