Finite Group Databasebeta

← Group #4487

Character table — Group #4487

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size112222222224444444888888121212122424
order12234466688812122424242444121212121616161688
χ1111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111
χ511-111-11-1-111-1-1111-1-1i−iii−i−i11-1-1i−i
χ611-111-11-1-111-1-1111-1-1i−iii−i−i-1-111−ii
χ711-111-11-1-111-1-1111-1-1−ii−i−iii11-1-1−ii
χ811-111-11-1-111-1-1111-1-1−ii−i−iii-1-111i−i
χ9222222222-2-2-222-2-2-2-2000000000000
χ102222-2-2222000-2-20000000000−i2i2−i2i200
χ112222-2-2222000-2-20000000000i2−i2i2−i200
χ12222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1000000
χ13222-122-1-1-1222-1-1-1-1-1-1-2-21111000000
χ14222-122-1-1-1-2-2-2-1-1111100−i3i3−i3i3000000
χ15222-122-1-1-1-2-2-2-1-1111100i3−i3i3−i3000000
χ1622-222-22-2-2-2-22-22-2-222000000000000
χ1722-22-222-2-20002-20000000000−i2i2i2−i200
χ1822-22-222-2-20002-20000000000i2−i2−i2i200
χ1922-2-12-2-11122-21-1-1-1112i−2i−i−iii000000
χ2022-2-12-2-11122-21-1-1-111−2i2iii−i−i000000
χ2122-2-12-2-111-2-221-111-1-1003−3−33000000
χ2222-2-12-2-111-2-221-111-1-100−333−3000000
χ23444-2-4-4-2-2-2000220000000000000000
χ2444-4-2-44-222000-220000000000000000
χ254-40400-400−2i22i2000−2i22i200000000000000
χ264-40400-4002i2−2i20002i2−2i200000000000000
χ274-40-2002−2i32i3−2i22i2000i2−i26−6000000000000
χ284-40-2002−2i32i32i2−2i2000−i2i2−66000000000000
χ294-40-20022i3−2i3−2i22i2000i2−i2−66000000000000
χ304-40-20022i3−2i32i2−2i2000−i2i26−6000000000000

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