Finite Group Databasebeta

← Group #93151

Character table — Group #93151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222244444444488881616161616161616161616161616161616161632323232
order12222222222224444444422444444444888888888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-1-1-1-1-1-1-11-11-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111-1-1-1-1-1-1-1-11-11-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111111-1-1-1-11111-1-1-1-111-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ10111111111-1-1-1-11111-1-1-1-111-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ11111111111-1-1-1-11111-1-1-1-111-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ12111111111-1-1-1-11111-1-1-1-111-1−i−iii−i−iii-1-111-1-111i−ii−i
χ13111111111-1-1-1-1-1-1-1-111111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ14111111111-1-1-1-1-1-1-1-111111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ15111111111-1-1-1-1-1-1-1-111111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11
χ16111111111-1-1-1-1-1-1-1-111111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ172222222222222222222-2-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2-2-222-22-200000000000000000000
χ19222222222-2-2-2-22222-2-222-2-2200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222-2-2-22200000000000000000000
χ21444444-4-4-400004-44-4000000000000000000000000000
χ22444444-4-4-40000-44-44000000000000000000000000000
χ234444-4-444-44-44-40000000000000000000000000000000
χ244444-4-444-4-44-440000000000000000000000000000000
χ254444-4-4-4-4400000000004-400000000000000000000000
χ264444-4-4-4-440000000000-4400000000000000000000000
χ274-44-4004-40040-40000000000000002i−2i2i−2i000000000000
χ284-44-4004-40040-4000000000000000−2i2i−2i2i000000000000
χ294-44-4004-400-4040000000000000002-2-22000000000000
χ304-44-4004-400-404000000000000000-222-2000000000000
χ314-44-400-44040-40000000000002i−2i2i−2i0000000000000000
χ324-44-400-44040-4000000000000−2i2i−2i2i0000000000000000
χ334-44-400-440-4040000000000002-2-220000000000000000
χ344-44-400-440-404000000000000-222-20000000000000000
χ354-4-444-40000000040-4000000000000000002i−2i002i−2i0000
χ364-4-444-40000000040-400000000000000000−2i2i00−2i2i0000
χ374-4-444-400000000-404000000000000000002-200-220000
χ384-4-444-400000000-40400000000000000000-22002-20000
χ394-4-44-44000000040-400000000000000002i−2i002i−2i000000
χ404-4-44-44000000040-40000000000000000−2i2i00−2i2i000000
χ414-4-44-440000000-40400000000000000002-200-22000000
χ424-4-44-440000000-4040000000000000000-22002-2000000
χ4388-8-800000000000004i−4i0000000000000000000000000
χ4488-8-80000000000000−4i4i0000000000000000000000000

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