Finite Group Databasebeta

← Group #11713656

Character table — Group #11713656

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222226666888888121212121212121212121616161616162424242424243232323248484848
order12224488882244223666444488888812122424242444448866662288
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ311111111111111-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ411111111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111-111111111-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-11-11-1
χ6111111-1-1-1-111111-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-11-11
χ7111111-1-1-1-11111-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-11-11
χ8111111-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-1111-11-1
χ92222222222222222-1-1-1-10000220000-1-1-1-1-1-1002200-1-1-1-10000
χ1022222222222222-2-2-1-1-1-10000220000-1-1-1-1-1-100-2-20011110000
χ11222222-2-2-2-222222-2-1-1-1-10000-2-20000-1-11111002-200-1-1110000
χ12222222-2-2-2-22222-22-1-1-1-10000-2-20000-1-1111100-220011-1-10000
χ132222-2-20000-2-22200222200000022-2-2-2-200002-2000000000000
χ142222-2-20000-2-222002222000000-2-222-2-20000-22000000000000
χ152-2-222-222-2-22-2-22002-2-2200002-20000-2222-2-200000000000000
χ162-2-222-222-2-22-2-2200-111-100002-200001-1-1-111000000−i3i3−i3i30000
χ172-2-222-222-2-22-2-2200-111-100002-200001-1-1-111000000i3−i3i3−i30000
χ182-2-222-2-2-2222-2-22002-2-220000-220000-22-2-22200000000000000
χ192-2-222-2-2-2222-2-2200-111-10000-2200001-111-1-1000000−i3i3i3−i30000
χ202-2-222-2-2-2222-2-2200-111-10000-2200001-111-1-1000000i3−i3−i3i30000
χ212-2-22-220000-22-22002-2-2222-2-20000002-2000000002-200000000
χ222-2-22-220000-22-22002-2-22-2-2220000002-200000000-2200000000
χ233333333333-1-1-1-13300001111-1-11111000000-1-1-1-1-1-10000-1-111
χ243333333333-1-1-1-1330000-1-1-1-1-1-1-1-1-1-100000011-1-111000011-1-1
χ253333333333-1-1-1-1-3-300001111-1-11111000000-1-111-1-1000011-1-1
χ263333333333-1-1-1-1-3-30000-1-1-1-1-1-1-1-1-1-10000001111110000-1-111
χ27333333-3-3-3-3-1-1-1-13-30000111111-1-1-1-100000011-11-1-10000-111-1
χ28333333-3-3-3-3-1-1-1-13-30000-1-1-1-1111111000000-1-1-111100001-1-11
χ29333333-3-3-3-3-1-1-1-1-330000111111-1-1-1-1000000111-1-1-100001-1-11
χ30333333-3-3-3-3-1-1-1-1-330000-1-1-1-1111111000000-1-11-1110000-111-1
χ314444-4-40000-4-44400-2-2-2-2000000000022000000000000000000
χ3244-4-40022−2222−22000000-22-222i−2i2i−2i0000−2i22i2002−22−200000000000000
χ3344-4-40022−2222−22000000-22-22−2i2i−2i2i00002i2−2i2002−22−200000000000000
χ3444-4-400−2222−2222000000-22-222i−2i2i−2i00002i2−2i200−22−2200000000000000
χ3544-4-400−2222−2222000000-22-22−2i2i−2i2i0000−2i22i200−22−2200000000000000
χ364-44-40022−22−2222000000-2-2222i−2i−2i2i00−2i22i200002−2−2200000000000000
χ374-44-40022−22−2222000000-2-222−2i2i2i−2i002i2−2i200002−2−2200000000000000
χ384-44-400−222222−22000000-2-2222i−2i−2i2i002i2−2i20000−222−200000000000000
χ394-44-400−222222−22000000-2-222−2i2i2i−2i00−2i22i20000−222−200000000000000
χ404-4-44-440000-44-4400-222-20000000000-22000000000000000000
χ416666-6-6000022-2-200000000000022-2-2000000-22000000000000
χ426666-6-6000022-2-2000000000000-2-2220000002-2000000000000
χ436-6-666-666-6-6-222-20000000000-22000000000000000000000000
χ446-6-666-6-6-666-222-200000000002-2000000000000000000000000
χ456-6-66-6600002-22-200000022-2-20000000000000000-2200000000
χ466-6-66-6600002-22-2000000-2-22200000000000000002-200000000
χ4788-8-80042−4242−420000002-22-2000000000000−22−2200000000000000
χ4888-8-800−4242−42420000002-22-20000000000002−22−200000000000000
χ498-88-80042−42−424200000022-2-2000000000000−222−200000000000000
χ508-88-800−424242−4200000022-2-20000000000002−2−2200000000000000

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