Finite Group Databasebeta

← Group #11713624

Character table — Group #11713624

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122333344668888881212161616161616242424242424242424243232323248484848
order122244222244442346664412121212121224888888886612122244
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111-11-111111111111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11111-1111-1-1-1-1-1-1111-111-1-111-1-111-1-11-11-1
χ61111111111-1-11111-1111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-11-11
χ71111111111-1-111-111111-1-1-1-1-1-111-1111-1-111-1-1-1-111-11-11
χ81111111111-1-111-111111-1-1-1-1-1-111-11-1-111-1-111-1-1111-11-1
χ9222222222222222-12-1-1-122-1-1-1-1-1-12200000000-1-1-1-10000
χ1022222222222222-2-1-2-1-1-122-1-1-1-1-1-1-2-20000000011110000
χ112222222222-2-2222-1-2-1-1-1-2-21111-1-12-200000000-1-1110000
χ122222222222-2-222-2-12-1-1-1-2-21111-1-1-220000000011-1-10000
χ132222-2-222222-2-2-20202222-222-2-2-2-2000000000000000000
χ142222-2-222222-2-2-20-10-1-1-12-2-1-111110000000000−i3i3−i3i30000
χ152222-2-222222-2-2-20-10-1-1-12-2-1-111110000000000i3−i3i3−i30000
χ162222-2-22222-22-2-2020222-22-2-222-2-2000000000000000000
χ172222-2-22222-22-2-20-10-1-1-1-2211-1-1110000000000−i3i3i3−i30000
χ182222-2-22222-22-2-20-10-1-1-1-2211-1-1110000000000i3−i3−i3i30000
χ192-2-222-22-2-22002-2020-2-220000002-200002-2002-200000000
χ202-2-222-22-2-22002-2020-2-220000002-20000-2200-2200000000
χ212-2-22-222-2-2200-22020-2-22000000-22002-2002-20000000000
χ222-2-22-222-2-2200-22020-2-22000000-2200-2200-220000000000
χ23333333-1-1-1-133-1-1303000-1-1000000-1-11111-1-1-1-1000011-1-1
χ24333333-1-1-1-133-1-1303000-1-1000000-1-1-1-1-1-111110000-1-111
χ25333333-1-1-1-133-1-1-30-3000-1-1000000111111-1-1-1-10000-1-111
χ26333333-1-1-1-133-1-1-30-3000-1-100000011-1-1-1-11111000011-1-1
χ27333333-1-1-1-1-3-3-1-130-300011000000-1111-1-1-1-11100001-1-11
χ28333333-1-1-1-1-3-3-1-130-300011000000-11-1-11111-1-10000-111-1
χ29333333-1-1-1-1-3-3-1-1-303000110000001-111-1-1-1-1110000-111-1
χ30333333-1-1-1-1-3-3-1-1-303000110000001-1-1-11111-1-100001-1-11
χ3144-4-400-44-4400000404-4-400000000000000000000000000
χ3244-4-400-44-4400000-20-222000023−2300000000000000000000
χ3344-4-400-44-4400000-20-2220000−232300000000000000000000
χ344-44-400-4-4440000040-44-400000000000000000000000000
χ354-44-400-4-44400000-202-220023−230000000000000000000000
χ364-44-400-4-44400000-202-2200−23230000000000000000000000
χ374-4-444-44-4-44004-40-2022-2000000-22000000000000000000
χ384-4-44-444-4-4400-440-2022-20000002-2000000000000000000
χ396666-6-6-2-2-2-26-622000000-22000000000000000000000000
χ406666-6-6-2-2-2-2-66220000002-2000000000000000000000000
χ416-6-666-6-222-200-220000000000000000002-200-2200000000
χ426-6-666-6-222-200-22000000000000000000-22002-200000000
χ436-6-66-66-222-2002-200000000000000002-200-220000000000
χ446-6-66-66-222-2002-20000000000000000-22002-20000000000
χ451212-12-12004-44-4000000000000000000000000000000000000
χ4612-1212-120044-4-4000000000000000000000000000000000000

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