Finite Group Databasebeta

← Group #24413

Character table — Group #24413

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222222244442222244222244444444448888888844
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111-1-11-11-11-11-111111111-1-1-1-1-1-1
χ61111111111111-1-1-1-111-1-11-11-11-11-1-1-1-1-1-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1-11-11-11-111111-1-1-1-11111-1-1
χ81111111111111-1-1-1-111-1-1-11-11-11-11-1-1-1-11111-1-1-1-111
χ91111-1-1111111-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-1
χ101111-1-1111111-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-11
χ111111-1-1111111-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1
χ121111-1-1111111-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ131111-1-1111111-1-1-1-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-11
χ141111-1-1111111-1-1-1-1-1-1-1111-1-11-111-1-1-111-1-11111-1-11-1
χ151111-1-1111111-1-1-1-1-1-1-111-111-11-1-1111-1-1-1-11111-1-1-11
χ161111-1-1111111-1-1-1-1-1-1-111-111-11-1-11-1-11111-1-1-1-1111-1
χ1722222222-2-2-2-2222-2-2-2-22-20000000000000000000000
χ1822222222-2-2-2-22-2-222-2-2-220000000000000000000000
χ19222222-2-22-22-2-200002-20002020-20-200000000000000
χ20222222-2-22-22-2-200002-2000-20-2020200000000000000
χ21222222-2-2-22-22-20000-22002020-20-2000000000000000
χ22222222-2-2-22-22-20000-2200-20-20202000000000000000
χ232222-2-222-2-2-2-2-222-2-222-220000000000000000000000
χ242222-2-222-2-2-2-2-2-2-222222-20000000000000000000000
χ252222-2-2-2-22-22-220000-2200020-2020-200000000000000
χ262222-2-2-2-22-22-220000-22000-2020-20200000000000000
χ272222-2-2-2-2-22-22200002-20020-2020-2000000000000000
χ282222-2-2-2-2-22-22200002-200-2020-202000000000000000
χ292-2-22002-222-2-202-22-200000000000000002i−2i002i−2i0000
χ302-2-22002-222-2-202-22-20000000000000000−2i2i00−2i2i0000
χ312-2-22002-222-2-20-22-2200000000000000002i−2i00−2i2i0000
χ322-2-22002-222-2-20-22-220000000000000000−2i2i002i−2i0000
χ332-2-22002-2-2-22202-2-220000000000000000002-2002-200
χ342-2-22002-2-2-22202-2-22000000000000000000-2200-2200
χ352-2-22002-2-2-2220-222-20000000000000000002-200-2200
χ362-2-22002-2-2-2220-222-2000000000000000000-22002-200
χ3744-4-44-4000000000000000000000002i−2i2i−2i0000000000
χ3844-4-44-400000000000000000000000−2i2i−2i2i0000000000
χ3944-4-4-44000000000000000000000002i−2i−2i2i0000000000
χ4044-4-4-4400000000000000000000000−2i2i2i−2i0000000000
χ414-4-4400-444-4-440000000000000000000000000000000
χ424-4-4400-44-444-40000000000000000000000000000000
χ438-88-8000000000000000000000000000000000000000

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