Finite Group Databasebeta

← Group #11792538

Character table — Group #11792538

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11114888899991616181818182424242436363636363636363636364848484872727272
order1222436662222121244442244444888888886612124444
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
χ1522-2-2022-2-22-2-220022-2-2002i−2i00000000000002i−2i0000
χ1622-2-2022-2-22-2-220022-2-200−2i2i0000000000000−2i2i0000
χ1722-2-2022-2-22-2-2200-2-2222-200000000000002-2000000
χ1822-2-2022-2-22-2-2200-2-222-220000000000000-22000000
χ192-22-202-22-2-2-222002-22-200000000000000000002-200
χ202-22-202-22-2-2-222002-22-20000000000000000000-2200
χ212-22-202-22-2-2-22200-22-220000000000000000000002-2
χ222-22-202-22-2-2-22200-22-22000000000000000000000-22
χ232-2-2202-2-222-22-2000000000002-2i2−i2i2−i2i2−i2i2−i200000000
χ242-2-2202-2-222-22-2000000000002-2−i2i2−i2i2−i2i2−i2i200000000
χ252-2-2202-2-222-22-200000000000-22i2−i2i2−i2−i2i2−i2i200000000
χ262-2-2202-2-222-22-200000000000-22−i2i2−i2i2i2−i2i2−i200000000
χ272-2-2202-2-22-22-22002-2-22000000000002-2-2200000000
χ282-2-2202-2-22-22-22002-2-2200000000000-222-200000000
χ292-2-2202-2-22-22-2200-222-200000002-2-22000000000000
χ302-2-2202-2-22-22-2200-222-20000000-222-2000000000000
χ3144-4-4044-4-4-444-400000000000000000000000000000
χ324-44-404-44-444-4-400000000000000000000000000000
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
χ3788-8-80-1-11100003i−3i00002-22i−2i00000000000-11−ii0000
χ3888-8-80-1-11100003i−3i0000-22−2i2i000000000001-1i−i0000
χ3988-8-80-1-1110000−3i3i00002-2−2i2i00000000000-11i−i0000
χ4088-8-80-1-1110000−3i3i0000-222i−2i000000000001-1−ii0000
χ4116-1616-160-22-22000000000000000000000000000000000
χ4216-16-16160-222-2000000000000000000000000000000000

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