Finite Group Databasebeta

← Group #5411

Character table — Group #5411

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size111122333366888888881212121212121212
order12224422224436661212121244444444
χ11111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11111-1-11111-1-1-1-111-1-111-1-1
χ41111-1-11111-1-11111-1-1-1-1-1-111-1-111
χ51-11-1i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i
χ61-11-1i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii
χ71-11-1−ii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii
χ81-11-1−ii1-11-1−ii11-1-1−i−iii-11i−i-11i−i
χ9222222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22222-2-2-1-1-1-1111100000000
χ1122-2-20022-2-2002-22-2000000000000
χ1222-2-20022-2-200-11-113−33−300000000
χ1322-2-20022-2-200-11-11−33−3300000000
χ142-22-22i−2i2-22-22i−2i-1-111−i−iii00000000
χ152-22-2−2i2i2-22-2−2i2i-1-111ii−i−i00000000
χ162-2-22002-2-22002-2-22000000000000
χ172-2-22002-2-2200-111-1−i3i3i3−i300000000
χ182-2-22002-2-2200-111-1i3−i3−i3i300000000
χ19333333-1-1-1-1-1-1000000001111-1-1-1-1
χ20333333-1-1-1-1-1-100000000-1-1-1-11111
χ213333-3-3-1-1-1-1110000000011-1-1-1-111
χ223333-3-3-1-1-1-11100000000-1-11111-1-1
χ233-33-33i−3i-11-11−ii000000001-1i−i-11−ii
χ243-33-33i−3i-11-11−ii00000000-11−ii1-1i−i
χ253-33-3−3i3i-11-11i−i000000001-1−ii-11i−i
χ263-33-3−3i3i-11-11i−i00000000-11i−i1-1−ii
χ2766-6-600-2-222000000000000000000
χ286-6-6600-222-2000000000000000000

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