Finite Group Databasebeta

← Group #152693

Character table — Group #152693

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12442424444444222444424448888888888444888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1
χ3111111111111111111111-1-111-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-111
χ5111111111-1-11111-111-1-1111-1-1-1-11111-1-1-1-1-1111-1-1
χ6111111111-1-11111-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1111
χ7111111111-1-11111-111-1-11-1-1-1-1111111-1-1-1-11-1-1-111
χ8111111111-1-11111-111-1-11-1-1-1-111-1-1-1-11111111-1-1-1
χ91111111-1-1111-1-11-1-11-11-1111-111ii−i−iii−i−i-1i−i-1i−i
χ101111111-1-1111-1-11-1-11-11-1111-111−i−iii−i−iii-1−ii-1−ii
χ111111111-1-1111-1-11-1-11-11-1-1-11-1-1-1ii−i−iii−i−i1−ii1−ii
χ121111111-1-1111-1-11-1-11-11-1-1-11-1-1-1−i−iii−i−iii1i−i1i−i
χ131111111-1-1-1-11-1-111-111-1-111-11-1-1ii−i−i−i−iii1i−i-1−ii
χ141111111-1-1-1-11-1-111-111-1-111-11-1-1−i−iiiii−i−i1−ii-1i−i
χ151111111-1-1-1-11-1-111-111-1-1-1-1-1111ii−i−i−i−iii-1−ii1i−i
χ161111111-1-1-1-11-1-111-111-1-1-1-1-1111−i−iiiii−i−i-1i−i1−ii
χ1722222222222222-22-2-222-200-2-20000000000000000
χ18222222222-2-2222-2-2-2-2-2-2-200220000000000000000
χ192222222-2-2222-2-2-2-22-2-22200-220000000000000000
χ202222222-2-2-2-22-2-2-222-22-22002-20000000000000000
χ2122-2-22-2-222002-2-220-2-20020000002i−2i2i−2i0000000000
χ2222-2-22-2-222002-2-220-2-2002000000−2i2i−2i2i0000000000
χ2322-2-22-2-222002-2-2-202200-200000000002i−2i2i−2i000000
χ2422-2-22-2-222002-2-2-202200-20000000000−2i2i−2i2i000000
χ2522-2-22-2-2-2-200222202-200-20000002-2-220000000000
χ2622-2-22-2-2-2-200222202-200-2000000-222-20000000000
χ2722-2-22-2-2-2-200222-20-2200200000000002-2-22000000
χ2822-2-22-2-2-2-200222-20-220020000000000-222-2000000
χ29444444-40044-40000000-4000000000000000000000
χ30444444-400-4-4-400000004000000000000000000000
χ3144-4-44-440000-4000400-40000000000000000000000
χ3244-4-44-440000-4000-40040000000000000000000000
χ3344-4-4-440004i−4i00000000002-2002i−2i00000000000000
χ3444-4-4-440004i−4i0000000000-2200−2i2i00000000000000
χ3544-4-4-44000−4i4i00000000002-200−2i2i00000000000000
χ3644-4-4-44000−4i4i0000000000-22002i−2i00000000000000
χ378888-8-800000000000000000000000000000000000
χ388-88i−8i0004i−4i0004-4000000000000000000000000000
χ398-88i−8i000−4i4i000-44000000000000000000000000000
χ408-8−8i8i0004i−4i000-44000000000000000000000000000
χ418-8−8i8i000−4i4i0004-4000000000000000000000000000

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