Finite Group Databasebeta

← Group #11713278

Character table — Group #11713278

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122333344668888881212161616161616242424242424242424243232323248484848
order12224422228844344666881212242424242444448888121212124444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111-1-1111111111111-1-11111111-1-1-1-1-1-1-1-1
χ4111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11111-1111-1-111-1-1-1-111-1111-1-1-1-111-1-11-11-1
χ61111111111-1-11111-1111-1-111-1-1-1-1-11-1-1-1-1111111-1-1-11-11
χ71111111111-1-1111-11111-1-111-1-1-1-11-11111-1-1-1-1-1-111-11-11
χ81111111111-1-1111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1111-11-1
χ922222222222222-122-1-1-122-1-1-1-1-1-10220000000-1-1-1-10000
χ1022222222222222-1-2-2-1-1-122-1-1-1-1-1-10-2-2000000011110000
χ112222222222-2-222-12-2-1-1-1-2-2-1-1111102-20000000-1-1110000
χ122222222222-2-222-1-22-1-1-1-2-2-1-111110-22000000011-1-10000
χ132222-2-2222200-2-220022200-2-20000200-22-2000000000000
χ142222-2-2222200-2-220022200-2-20000-2002-22000000000000
χ152-2-222-222-2-2002-2200-2-22002-200000000002i−2i2i−2i00000000
χ162-2-222-222-2-2002-2200-2-22002-20000000000−2i2i−2i2i00000000
χ172-2-22-2222-2-22-2-22200-2-222-2-2222-2-2000000000000000000
χ182-2-22-2222-2-22-2-22-10011-12-21-1-1-1110000000000−i3i3−i3i30000
χ192-2-22-2222-2-22-2-22-10011-12-21-1-1-1110000000000i3−i3i3−i30000
χ202-2-22-2222-2-2-22-22200-2-22-22-22-2-222000000000000000000
χ212-2-22-2222-2-2-22-22-10011-1-221-111-1-10000000000−i3i3i3−i30000
χ222-2-22-2222-2-2-22-22-10011-1-221-111-1-10000000000i3−i3−i3i30000
χ23333333-1-1-1-133-1-1033000-1-10000001-1-11-1-111-1-1000011-1-1
χ24333333-1-1-1-133-1-1033000-1-1000000-1-1-1-111-1-1110000-1-111
χ25333333-1-1-1-133-1-10-3-3000-1-10000001111-1-111-1-10000-1-111
χ26333333-1-1-1-133-1-10-3-3000-1-1000000-111-111-1-111000011-1-1
χ27333333-1-1-1-1-3-3-1-103-3000110000001-111-1-1-1-11100001-1-11
χ28333333-1-1-1-1-3-3-1-103-300011000000-1-11-11111-1-10000-111-1
χ29333333-1-1-1-1-3-3-1-10-330001100000011-11-1-1-1-1110000-111-1
χ30333333-1-1-1-1-3-3-1-10-3300011000000-11-1-11111-1-100001-1-11
χ314444-4-4444400-4-4-200-2-2-200220000000000000000000000
χ3244-4-4004-44-400004004-4-400000000000000000000000000
χ3344-4-4004-44-40000-200-2220000i6−i6i6−i6000000000000000000
χ3444-4-4004-44-40000-200-2220000−i6i6−i6i6000000000000000000
χ354-44-4004-4-440000400-44-400000000000000000000000000
χ364-44-4004-4-440000-2002-220000i6−i6−i6i6000000000000000000
χ374-44-4004-4-440000-2002-220000−i6i6i6−i6000000000000000000
χ384-4-444-444-4-4004-4-20022-200-220000000000000000000000
χ396666-6-6-2-2-2-2002200000000000000200-2-22000000000000
χ406666-6-6-2-2-2-2002200000000000000-20022-2000000000000
χ416-6-666-6-2-22200-22000000000000000000002i−2i−2i2i00000000
χ426-6-666-6-2-22200-2200000000000000000000−2i2i2i−2i00000000
χ436-6-66-66-2-2226-62-2000000-22000000000000000000000000
χ446-6-66-66-2-222-662-20000002-2000000000000000000000000
χ451212-12-1200-44-44000000000000000000000000000000000000
χ4612-1212-1200-444-4000000000000000000000000000000000000

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