Finite Group Databasebeta

← Group #4971

Character table — Group #4971

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size111122222222222244444444444444444121212122424
order122222344666666644444121212121212121212121212888844
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-111-1-11-1
χ61111-1-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-111-11
χ71111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-1111111-1-1-11
χ81111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-11111-1-1111-1
χ92222222-2-222222220000-2-2-2-2-200000000000000
χ10222222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ11222222-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-111111111000000
χ12222222-1-2-2-1-1-1-1-1-1-10000-21111−i3−i3i3i3−i3−i3i3i3000000
χ13222222-1-2-2-1-1-1-1-1-1-10000-21111i3i3−i3−i3i3i3−i3−i3000000
χ142222-2-22-2-22-2-2-2-22200002-2-22200000000000000
χ152222-2-2-122-11111-1-122-2-2-2-1-111-1-1-1-11111000000
χ162222-2-2-122-11111-1-1-2-222-2-1-1111111-1-1-1-1000000
χ172222-2-2-1-2-2-11111-1-10000211-1-1−i3−i3i3i3i3i3−i3−i3000000
χ182222-2-2-1-2-2-11111-1-10000211-1-1i3i3−i3−i3−i3−i3i3i3000000
χ1922-2-22-2200-222-2-2-2200000000000000000−i2i2−i2i200
χ2022-2-22-2200-222-2-2-2200000000000000000i2−i2i2−i200
χ2122-2-2-22200-2-2-222-2200000000000000000−i2i2i2−i200
χ2222-2-2-22200-2-2-222-2200000000000000000i2−i2−i2i200
χ232-2-220022-2-200002-2002i−2i02-20000002i−2i2i−2i000000
χ242-2-220022-2-200002-200−2i2i02-2000000−2i2i−2i2i000000
χ252-2-22002-22-200002-22i−2i000-22002i−2i2i−2i0000000000
χ262-2-22002-22-200002-2−2i2i000-2200−2i2i−2i2i0000000000
χ272-2-2200-12-21−i3i3−i3i3-11002i−2i0-11−i3i33−3−33−ii−ii000000
χ282-2-2200-12-21−i3i3−i3i3-1100−2i2i0-11−i3i3−333−3i−ii−i000000
χ292-2-2200-12-21i3−i3i3−i3-11002i−2i0-11i3−i3−333−3−ii−ii000000
χ302-2-2200-12-21i3−i3i3−i3-1100−2i2i0-11i3−i33−3−33i−ii−i000000
χ312-2-2200-1-221−i3i3−i3i3-112i−2i0001-1i3−i3−ii−ii3−3−33000000
χ322-2-2200-1-221−i3i3−i3i3-11−2i2i0001-1i3−i3i−ii−i−333−3000000
χ332-2-2200-1-221i3−i3i3−i3-112i−2i0001-1−i3i3−ii−ii−333−3000000
χ342-2-2200-1-221i3−i3i3−i3-11−2i2i0001-1−i3i3i−ii−i3−3−33000000
χ3544-4-44-4-2002-2-2222-200000000000000000000000
χ3644-4-4-44-200222-2-22-200000000000000000000000
χ374-44-40040040000-4-400000000000000000000000
χ384-44-400-200-2−2i32i32i3−2i32200000000000000000000000
χ394-44-400-200-22i3−2i3−2i32i32200000000000000000000000

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