Finite Group Databasebeta

← Group #5405

Character table — Group #5405

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size1111226666888888881212121212121212
order12448824883612122424242424448888
χ111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-111-1-11111-1-1-1-111-1-1-1-111
χ41111-1-111-1-11111-1-1-1-1-1-11111-1-1
χ511-1-1i−i-11i−i11-1-1ii−i−i1-1i−ii−i1-1
χ611-1-1i−i-11i−i11-1-1ii−i−i-11−ii−ii-11
χ711-1-1−ii-11−ii11-1-1−i−iii1-1−ii−ii1-1
χ811-1-1−ii-11−ii11-1-1−i−iii-11i−ii−i-11
χ92222222222-1-1-1-1-1-1-1-100000000
χ102222-2-222-2-2-1-1-1-1111100000000
χ1122-2-22i−2i-222i−2i-1-111−i−iii00000000
χ1222-2-2−2i2i-22−2i2i-1-111ii−i−i00000000
χ13333333-1-1-1-10000000011-1-111-1-1
χ14333333-1-1-1-100000000-1-111-1-111
χ153333-3-3-1-111000000001111-1-1-1-1
χ163333-3-3-1-11100000000-1-1-1-11111
χ1733-3-33i−3i1-1−ii000000001-1−iii−i-11
χ1833-3-33i−3i1-1−ii00000000-11i−i−ii1-1
χ1933-3-3−3i3i1-1i−i000000001-1i−i−ii-11
χ2033-3-3−3i3i1-1i−i00000000-11−iii−i1-1
χ214-44i−4i0000001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ224-44i−4i0000001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ234-44i−4i000000-22−2i2i000000000000
χ244-4−4i4i0000001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ254-4−4i4i0000001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ264-4−4i4i000000-222i−2i000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.