Finite Group Databasebeta

← Group #11713283

Character table — Group #11713283

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222226666888888121212121212121212121616161616162424242424243232323248484848
order12224488882244223666444488888812122424242424448866664488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111-1-1-1-1111111-111-1-1-11111-1-1-1-1
χ311111111111111-1-1111111111111111111111-1-1111-1-1-1-1-1-1-1-1
χ411111111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111-111111111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-11-11-1
χ6111111-1-1-1-111111-11111-1-1-1-1-1-1111111-1-1-1-111-11-1-111-1-1-11-11
χ7111111-1-1-1-11111-1111111111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-11-11
χ8111111-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-1111-11-1
χ92222222222222222-1-1-1-10000220000-1-1-1-1-1-1022000-1-1-1-10000
χ1022222222222222-2-2-1-1-1-10000220000-1-1-1-1-1-10-2-200011110000
χ11222222-2-2-2-222222-2-1-1-1-10000-2-20000-1-1111102-2000-1-1110000
χ12222222-2-2-2-22222-22-1-1-1-10000-2-20000-1-111110-2200011-1-10000
χ132222-2-20000-2-22200222200000022-2-2-2-20000200-20000000000
χ142222-2-20000-2-222002222000000-2-222-2-20000-20020000000000
χ152-22-22-200002-22-2002-2-222i2i−2i−2i0000002-2000000002i−2i00000000
χ162-22-22-200002-22-2002-2-22−2i−2i2i2i0000002-200000000−2i2i00000000
χ172-22-2-2222-2-2-222-2002-2-2200002-20000-2222-2-200000000000000
χ182-22-2-2222-2-2-222-200-111-100002-200001-1-1-111000000−i3i3−i3i30000
χ192-22-2-2222-2-2-222-200-111-100002-200001-1-1-111000000i3−i3i3−i30000
χ202-22-2-22-2-222-222-2002-2-220000-220000-22-2-22200000000000000
χ212-22-2-22-2-222-222-200-111-10000-2200001-111-1-1000000−i3i3i3−i30000
χ222-22-2-22-2-222-222-200-111-10000-2200001-111-1-1000000i3−i3−i3i30000
χ233333333333-1-1-1-13300001111-1-11111000000-1-1-1-1-1-10000-1-111
χ243333333333-1-1-1-1330000-1-1-1-1-1-1-1-1-1-10000001-1-1111000011-1-1
χ253333333333-1-1-1-1-3-300001111-1-11111000000-111-1-1-1000011-1-1
χ263333333333-1-1-1-1-3-30000-1-1-1-1-1-1-1-1-1-10000001111110000-1-111
χ27333333-3-3-3-3-1-1-1-13-30000111111-1-1-1-10000001-111-1-10000-111-1
χ28333333-3-3-3-3-1-1-1-13-30000-1-1-1-1111111000000-1-11-11100001-1-11
χ29333333-3-3-3-3-1-1-1-1-330000111111-1-1-1-100000011-11-1-100001-1-11
χ30333333-3-3-3-3-1-1-1-1-330000-1-1-1-1111111000000-11-1-1110000-111-1
χ314444-4-40000-4-44400-2-2-2-2000000000022000000000000000000
χ3244-4-40022−2222−22000000-22-222-22-2000022−22002−22−200000000000000
χ3344-4-40022−2222−22000000-22-22-22-220000−2222002−22−200000000000000
χ3444-4-400−2222−2222000000-22-222-22-20000−222200−22−2200000000000000
χ3544-4-400−2222−2222000000-22-22-22-22000022−2200−22−2200000000000000
χ364-44-44-400004-44-400-222-20000000000-22000000000000000000
χ374-4-440022−22−2222000000-2-2222i−2i−2i2i00−2i22i200002−2−2200000000000000
χ384-4-440022−22−2222000000-2-222−2i2i2i−2i002i2−2i200002−2−2200000000000000
χ394-4-4400−222222−22000000-2-2222i−2i−2i2i002i2−2i20000−222−200000000000000
χ404-4-4400−222222−22000000-2-222−2i2i2i−2i00−2i22i20000−222−200000000000000
χ416666-6-6000022-2-200000000000022-2-2000000-20020000000000
χ426666-6-6000022-2-2000000000000-2-222000000200-20000000000
χ436-66-66-60000-22-220000002i2i−2i−2i0000000000000000−2i2i00000000
χ446-66-66-60000-22-22000000−2i−2i2i2i00000000000000002i−2i00000000
χ456-66-6-6666-6-62-2-220000000000-22000000000000000000000000
χ466-66-6-66-6-6662-2-2200000000002-2000000000000000000000000
χ4788-8-80042−4242−420000002-22-2000000000000−22−2200000000000000
χ4888-8-800−4242−42420000002-22-20000000000002−22−200000000000000
χ498-8-880042−42−424200000022-2-2000000000000−222−200000000000000
χ508-8-8800−424242−4200000022-2-20000000000002−2−2200000000000000

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