Finite Group Databasebeta

← Group #150666

Character table — Group #150666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222244444444488881616161616161616161616161616161616161632323232
order12222244444444444224424444448888888888884444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1111-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-111-1-1-1-1-1-1111-1111-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111-1-111-1-1-1-1-1-1111-1111-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111-1-111-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-111-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-1-1-111111111-1-111-1-11-1-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1-111111111-1-111-1-11-1-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1-111111111-1-1-11-1-1-111-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1-111111111-1-1-11-1-1-111-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-111−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1-1-1-111-1-1-1-111-11-11-11111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-1-1-111-1-1-1-111-11-11-11111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222-2-2220-2-2-20000000000000000000
χ1822222222222-2-222-2-222-2-20-2-220000000000000000000
χ19222222-2-2-2-2-2222222-2-2-2-20-2220000000000000000000
χ20222222-2-2-2-2-2-2-222-2-222220-22-20000000000000000000
χ21444444444-4-400-4-400000000000000000000000000000
χ22444444-4-4-44400-4-400000000000000000000000000000
χ234444-4-444-40000000000002000-22-20000000000000000
χ244444-4-444-4000000000000-20002-220000000000000000
χ254444-4-4-4-440000000000002000-2-220000000000000000
χ264444-4-4-4-44000000000000-200022-20000000000000000
χ2744-4-4004-40002i−2i002i−2i002i−2i000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ2844-4-4004-40002i−2i002i−2i002i−2i00000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ2944-4-4004-4000−2i2i00−2i2i00−2i2i000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ3044-4-4004-4000−2i2i00−2i2i00−2i2i00000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ3144-4-400-440002i−2i002i−2i00−2i2i000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ3244-4-400-440002i−2i002i−2i00−2i2i00000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ3344-4-400-44000−2i2i00−2i2i002i−2i000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ3444-4-400-44000−2i2i00−2i2i002i−2i00000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ354-44-44-400000004-4004-40000000000000000000000000
χ364-44-44-400000004-400-440000000000000000000000000
χ374-44-44-4000004i−4i-44−4i4i000000000000000000000000000
χ384-44-44-400000−4i4i-444i−4i000000000000000000000000000
χ394-44-4-440004i−4i000000000000000002-22i−2i000000000000
χ404-44-4-440004i−4i00000000000000000-22−2i2i000000000000
χ414-44-4-44000−4i4i000000000000000002-2−2i2i000000000000
χ424-44-4-44000−4i4i00000000000000000-222i−2i000000000000
χ438-8-8800000004400-4-4000000000000000000000000000
χ448-8-880000000-4-40044000000000000000000000000000

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