Finite Group Databasebeta

← Group #11713622

Character table — Group #11713622

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122333344668888881212161616161616242424242424242424243232323248484848
order12224422224444344666441212121212124488888888121212122444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111-1-111111111111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111-1-1111-11111-1-1-1-1-1-111-1111-1-111-1-1-1-111-11-11
χ81111111111-1-1111-11111-1-1-1-1-1-111-11-1-111-1-111-1-1111-11-1
χ922222222222222-122-1-1-122-1-1-1-1-1-12200000000-1-1-1-10000
χ1022222222222222-1-2-2-1-1-122-1-1-1-1-1-1-2-20000000011110000
χ112222222222-2-222-12-2-1-1-1-2-21111-1-12-200000000-1-1110000
χ122222222222-2-222-1-22-1-1-1-2-21111-1-1-220000000011-1-10000
χ132222-2-222222-2-2-22002222-222-2-2-2-2000000000000000000
χ142222-2-222222-2-2-2-100-1-1-12-2-1-111110000000000i3−i3i3−i30000
χ152222-2-222222-2-2-2-100-1-1-12-2-1-111110000000000−i3i3−i3i30000
χ162222-2-22222-22-2-2200222-22-2-222-2-2000000000000000000
χ172222-2-22222-22-2-2-100-1-1-1-2211-1-1110000000000i3−i3−i3i30000
χ182222-2-22222-22-2-2-100-1-1-1-2211-1-1110000000000−i3i3i3−i30000
χ192-2-222-2-2-222002-2200-2-220000002-200002-2002-200000000
χ202-2-222-2-2-222002-2200-2-220000002-20000-2200-2200000000
χ212-2-22-22-2-22200-22200-2-22000000-22002-2002-20000000000
χ222-2-22-22-2-22200-22200-2-22000000-2200-2200-220000000000
χ23333333-1-1-1-133-1-1033000-1-1000000-1-11111-1-1-1-1000011-1-1
χ24333333-1-1-1-133-1-1033000-1-1000000-1-1-1-1-1-111110000-1-111
χ25333333-1-1-1-133-1-10-3-3000-1-1000000111111-1-1-1-10000-1-111
χ26333333-1-1-1-133-1-10-3-3000-1-100000011-1-1-1-11111000011-1-1
χ27333333-1-1-1-1-3-3-1-103-300011000000-1111-1-1-1-11100001-1-11
χ28333333-1-1-1-1-3-3-1-103-300011000000-11-1-11111-1-10000-111-1
χ29333333-1-1-1-1-3-3-1-10-33000110000001-111-1-1-1-1110000-111-1
χ30333333-1-1-1-1-3-3-1-10-33000110000001-1-1-11111-1-100001-1-11
χ3144-4-4004-44-400004004-4-400000000000000000000000000
χ3244-4-4004-44-40000-200-222002i3−2i30000000000000000000000
χ3344-4-4004-44-40000-200-22200−2i32i30000000000000000000000
χ344-44-400-444-40000400-44-400000000000000000000000000
χ354-44-400-444-40000-2002-2200002i3−2i300000000000000000000
χ364-44-400-444-40000-2002-220000−2i32i300000000000000000000
χ374-4-444-4-4-444004-4-20022-2000000-22000000000000000000
χ384-4-44-44-4-44400-44-20022-20000002-2000000000000000000
χ396666-6-6-2-2-2-26-622000000-22000000000000000000000000
χ406666-6-6-2-2-2-2-66220000002-2000000000000000000000000
χ416-6-666-622-2-200-220000000000000000002-200-2200000000
χ426-6-666-622-2-200-22000000000000000000-22002-200000000
χ436-6-66-6622-2-2002-200000000000000002-200-220000000000
χ446-6-66-6622-2-2002-20000000000000000-22002-20000000000
χ451212-12-1200-44-44000000000000000000000000000000000000
χ4612-1212-12004-4-44000000000000000000000000000000000000

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