Finite Group Databasebeta

← Group #11713880

Character table — Group #11713880

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222226666888888121212121212121212121616161616162424242424243232323248484848
order122244888822443446664444888888121224242424244488121212124488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ3111111111111111-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111-11111111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-111-11-11
χ6111111-1-1-1-1111111-1111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-1111-11-1
χ7111111-1-1-1-111111-111111111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-11-11-1
χ8111111-1-1-1-111111-11111-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-11-11
χ922222222222222-122-1-1-10000220000-1-1-1-1-1-1220000-1-1-1-10000
χ1022222222222222-1-2-2-1-1-10000220000-1-1-1-1-1-1-2-2000011110000
χ11222222-2-2-2-22222-12-2-1-1-10000-2-20000-1-111112-2000011-1-10000
χ12222222-2-2-2-22222-1-22-1-1-10000-2-20000-1-11111-220000-1-1110000
χ132222-2-20000-2-22220022200000022-2-2-2-20000002-20000000000
χ142222-2-20000-2-222200222000000-2-222-2-2000000-220000000000
χ152-22-22-200002-22-2200-2-222i2i−2i−2i000000-22000000002i−2i00000000
χ162-22-22-200002-22-2200-2-22−2i−2i2i2i000000-2200000000−2i2i00000000
χ172-22-2-222i2i−2i−2i-222-2200-2-2200002i−2i00002-22i2i−2i−2i00000000000000
χ182-22-2-222i2i−2i−2i-222-2-10011-100002i−2i0000-11−i−iii0000003−3−i3i30000
χ192-22-2-222i2i−2i−2i-222-2-10011-100002i−2i0000-11−i−iii000000−33i3−i30000
χ202-22-2-22−2i−2i2i2i-222-2200-2-220000−2i2i00002-2−2i−2i2i2i00000000000000
χ212-22-2-22−2i−2i2i2i-222-2-10011-10000−2i2i0000-11ii−i−i0000003−3i3−i30000
χ222-22-2-22−2i−2i2i2i-222-2-10011-10000−2i2i0000-11ii−i−i000000−33−i3i30000
χ233333333333-1-1-1-10330001111-1-11111000000-1-1-1-1-1-10000-1-111
χ243333333333-1-1-1-1033000-1-1-1-1-1-1-1-1-1-1000000-1-11111000011-1-1
χ253333333333-1-1-1-10-3-30001111-1-1111100000011-1-1-1-1000011-1-1
χ263333333333-1-1-1-10-3-3000-1-1-1-1-1-1-1-1-1-10000001111110000-1-111
χ27333333-3-3-3-3-1-1-1-103-3000111111-1-1-1-1000000-1111-1-100001-1-11
χ28333333-3-3-3-3-1-1-1-103-3000-1-1-1-1111111000000-11-1-1110000-111-1
χ29333333-3-3-3-3-1-1-1-10-33000111111-1-1-1-10000001-111-1-10000-111-1
χ30333333-3-3-3-3-1-1-1-10-33000-1-1-1-11111110000001-1-1-11100001-1-11
χ314444-4-40000-4-444-200-2-2-2000000000022000000000000000000
χ3244-4-40022−2222−220000-200-2222i−2i2i−2i00−2i22i200002−22−200000000000000
χ3344-4-40022−2222−220000-200-222−2i2i−2i2i002i2−2i200002−22−200000000000000
χ3444-4-400−2222−22220000-200-2222i−2i2i−2i002i2−2i20000−22−2200000000000000
χ3544-4-400−2222−22220000-200-222−2i2i−2i2i00−2i22i20000−22−2200000000000000
χ364-44-44-400004-44-4-20022-200000000002-2000000000000000000
χ374-4-4400−2i22i22i2−2i20000-2002-222-2-220000−2i22i200−i2i2i2−i200000000000000
χ384-4-4400−2i22i22i2−2i20000-2002-22-222-200002i2−2i200−i2i2i2−i200000000000000
χ394-4-44002i2−2i2−2i22i20000-2002-222-2-2200002i2−2i200i2−i2−i2i200000000000000
χ404-4-44002i2−2i2−2i22i20000-2002-22-222-20000−2i22i200i2−i2−i2i200000000000000
χ416666-6-6000022-2-200000000000022-2-200000000-220000000000
χ426666-6-6000022-2-2000000000000-2-222000000002-20000000000
χ436-66-66-60000-22-220000002i2i−2i−2i0000000000000000−2i2i00000000
χ446-66-66-60000-22-22000000−2i−2i2i2i00000000000000002i−2i00000000
χ456-66-6-666i6i−6i−6i2-2-220000000000−2i2i000000000000000000000000
χ466-66-6-66−6i−6i6i6i2-2-2200000000002i−2i000000000000000000000000
χ4788-8-80042−4242−4200002002-2-2000000000000−22−2200000000000000
χ4888-8-800−4242−424200002002-2-20000000000002−22−200000000000000
χ498-8-8800−4i24i24i2−4i20000200-22-2000000000000i2−i2−i2i200000000000000
χ508-8-88004i2−4i2−4i24i20000200-22-2000000000000−i2i2i2−i200000000000000

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