Finite Group Databasebeta

← Group #72339015

Character table — Group #72339015

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222444444448888816161616161616161616163232323232323232323232323232323264646464
order1222222444444444442224444888824444488888888884444
χ11111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11-1-1-1-1-11-1111111-11-1-111-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-11-1-1-1-1-11-1111111-11-1-111-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-11-1-1-1-1-11-111-1-1-1-1-1111-1-111iiii−i−i−i−i−i−iii
χ81111111111111-1-11-1-1-1-1-11-111-1-1-1-1-1111-1-111−i−i−i−iiiiiii−i−i
χ9111111111-1-11111-1-1-11-1-1-1-11111111-111-1-1-1-1ii−i−iii−i−ii−ii−i
χ10111111111-1-11111-1-1-11-1-1-1-11111111-111-1-1-1-1−i−iii−i−iii−ii−ii
χ11111111111-1-11111-1-1-11-1-1-1-111-1-1-1-11-1-1-11111ii−i−iii−i−i−ii−ii
χ12111111111-1-11111-1-1-11-1-1-1-111-1-1-1-11-1-1-11111−i−iii−i−iiii−ii−i
χ13111111111-1-111-1-1-111-111-11111111-1-1-1-1-1-11111-1-1-1-1111-1-11
χ14111111111-1-111-1-1-111-111-11111111-1-1-1-1-1-111-1-11111-1-1-111-1
χ15111111111-1-111-1-1-111-111-1111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1
χ16111111111-1-111-1-1-111-111-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11
χ172222222222222222222-2-222-2-20000-2-2000000000000000000
χ182222222222222-2-22-2-2-2222-2-2-200002-2000000000000000000
χ19222222222-2-22222-2-2-2222-2-2-2-20000-22000000000000000000
χ20222222222-2-222-2-2-222-2-2-2-22-2-2000022000000000000000000
χ212222222-2-200-2-20002202-20-22-2000000000000002-22-2000000
χ222222222-2-200-2-20002202-20-22-200000000000000-22-22000000
χ232222222-2-200-2-2000220-220-2-220000000000002-200002-20000
χ242222222-2-200-2-2000220-220-2-22000000000000-220000-220000
χ252222222-2-200-2-2000-2-202-202-220000000000002i−2i0000−2i2i0000
χ262222222-2-200-2-2000-2-202-202-22000000000000−2i2i00002i−2i0000
χ272222222-2-200-2-2000-2-20-22022-2000000000000002i−2i−2i2i000000
χ282222222-2-200-2-2000-2-20-22022-200000000000000−2i2i2i−2i000000
χ2944444-4-44-4004-444000-4000000000000000000000000000000
χ3044444-4-44-4004-4-4-40004000000000000000000000000000000
χ3144444-4-4-4444-4400400000-4000000000000000000000000000
χ3244444-4-4-44-4-4-4400-4000004000000000000000000000000000
χ33444-4-4-440000000004i−4i00000002i2i−2i−2i0000002-2000000000000
χ34444-4-4-440000000004i−4i0000000−2i−2i2i2i000000-22000000000000
χ35444-4-4-44000000000−4i4i00000002i2i−2i−2i000000-22000000000000
χ36444-4-4-44000000000−4i4i0000000−2i−2i2i2i0000002-2000000000000
χ3744-44-40004440-400-40000000002i−2i2i−2i00002i−2i00000000000000
χ3844-44-40004440-400-4000000000−2i2i−2i2i0000−2i2i00000000000000
χ3944-44-40004-4-40-40040000000002i−2i2i−2i0000−2i2i00000000000000
χ4044-44-40004-4-40-4004000000000−2i2i−2i2i00002i−2i00000000000000
χ4144-4-4400-4000404-400000000002-2-22002-20000000000000000
χ4244-4-4400-4000404-40000000000-222-200-220000000000000000
χ4344-4-4400-400040-4400000000002-2-2200-220000000000000000
χ4444-4-4400-400040-440000000000-222-2002-20000000000000000
χ45888-8-88-8000000000000000000000000000000000000000000
χ4688-88-8000-80008000000000000000000000000000000000000
χ4788-8-88008000-80000000000000000000000000000000000000
χ4816-1600000008-800000000000000000000000000000000000000
χ4916-160000000-8800000000000000000000000000000000000000

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