Finite Group Databasebeta

← Group #4967

Character table — Group #4967

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size111122222222222244444444444444444121212122424
order122222344666666644444121212121212121212121212888824
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-111-1-11-1
χ61111-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-111-11
χ71111-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-11
χ81111-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1111-1
χ92222222-2-22222222-20000-2-2-2-200000000000000
χ10222222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ11222222-122-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000
χ12222222-1-2-2-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000
χ13222222-1-2-2-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000
χ142222-2-22-2-22-2-2-2-22220000-2-22200000000000000
χ152222-2-2-122-11111-1-1-222-2-2-1-111-1-1-1-11111000000
χ162222-2-2-122-11111-1-1-2-2-222-1-1111111-1-1-1-1000000
χ172222-2-2-1-2-2-11111-1-12000011-1-1−i3−i3i3i3i3i3−i3−i3000000
χ182222-2-2-1-2-2-11111-1-12000011-1-1i3i3−i3−i3−i3−i3i3i3000000
χ192-22-20022-2-200002-20002i−2i2-20000002i−2i2i−2i000000
χ202-22-20022-2-200002-2000−2i2i2-2000000−2i2i−2i2i000000
χ212-22-2002-22-200002-202i−2i00-22002i−2i2i−2i0000000000
χ222-22-2002-22-200002-20−2i2i00-2200−2i2i−2i2i0000000000
χ232-22-200-12-21−i3−i3i3i3-110002i−2i-11−i3i33−3−33−ii−ii000000
χ242-22-200-12-21−i3−i3i3i3-11000−2i2i-11−i3i3−333−3i−ii−i000000
χ252-22-200-12-21i3i3−i3−i3-110002i−2i-11i3−i3−333−3−ii−ii000000
χ262-22-200-12-21i3i3−i3−i3-11000−2i2i-11i3−i33−3−33i−ii−i000000
χ272-22-200-1-221−i3−i3i3i3-1102i−2i001-1i3−i3−ii−ii3−3−33000000
χ282-22-200-1-221−i3−i3i3i3-110−2i2i001-1i3−i3i−ii−i−333−3000000
χ292-22-200-1-221i3i3−i3−i3-1102i−2i001-1−i3i3−ii−ii−333−3000000
χ302-22-200-1-221i3i3−i3−i3-110−2i2i001-1−i3i3i−ii−i3−3−33000000
χ312-2-222-2200-22-22-2-22000000000000000002−22−200
χ322-2-222-2200-22-22-2-2200000000000000000−22−2200
χ332-2-22-22200-2-22-22-22000000000000000002−2−2200
χ342-2-22-22200-2-22-22-2200000000000000000−222−200
χ3544-4-40040040000-4-400000000000000000000000
χ3644-4-400-200-2−2i32i32i3−2i32200000000000000000000000
χ3744-4-400-200-22i3−2i3−2i32i32200000000000000000000000
χ384-4-444-4-2002-22-222-200000000000000000000000
χ394-4-44-44-20022-22-22-200000000000000000000000

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