Finite Group Databasebeta

← Group #72339017

Character table — Group #72339017

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size11222444444448888816161616161616161616163232323232323232323232323232323264646464
order1222222444444444442224444888822444488888888884444
χ11111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11-1-1-1-1-1111-11111-1-1-1111-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-11-1-1-1-1-1111-11111-1-1-1111-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-111iiii−i−i−i−i−i−iii
χ81111111111111-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-111−i−i−i−iiiiiii−i−i
χ9111111111-1-11111-1-1-11-1-111-1-11111111-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ10111111111-1-11111-1-1-11-1-111-1-11111111-1-1-1-1-1−i−iii−i−iii−ii−ii
χ11111111111-1-11111-1-1-11-1-111-1-1-1-1-1-11-1-1-11111ii−i−iii−i−i−ii−ii
χ12111111111-1-11111-1-1-11-1-111-1-1-1-1-1-11-1-1-11111−i−iii−i−iiii−ii−i
χ13111111111-1-111-1-1-111-11111-111111-1-1-1-1-1-11111-1-1-1-1111-1-11
χ14111111111-1-111-1-1-111-11111-111111-1-1-1-1-1-111-1-11111-1-1-111-1
χ15111111111-1-111-1-1-111-11111-11-1-1-1-1-111-111-1-111-1-1-1-111-111-1
χ16111111111-1-111-1-1-111-11111-11-1-1-1-1-111-111-1-1-1-11111-1-11-1-11
χ172222222222222222222-2-2-2-2220000-200-20000000000000000
χ182222222222222-2-22-2-2-222-2-22-20000200-20000000000000000
χ19222222222-2-22222-2-2-2222-2-2-2-20000-20020000000000000000
χ20222222222-2-222-2-2-222-2-2-2-2-2-22000020020000000000000000
χ212222222-2-200-2-20002202-22-20-2000000000000002-22-2000000
χ222222222-2-200-2-20002202-22-20-200000000000000-22-22000000
χ232222222-2-200-2-2000220-22-220-20000000000002-200002-20000
χ242222222-2-200-2-2000220-22-220-2000000000000-220000-220000
χ252222222-2-200-2-2000-2-202-2-22020000000000002i−2i0000−2i2i0000
χ262222222-2-200-2-2000-2-202-2-2202000000000000−2i2i00002i−2i0000
χ272222222-2-200-2-2000-2-20-222-202000000000000002i−2i−2i2i000000
χ282222222-2-200-2-2000-2-20-222-20200000000000000−2i2i2i−2i000000
χ2944444-4-44-4004-444000-4000000000000000000000000000000
χ3044444-4-44-4004-4-4-40004000000000000000000000000000000
χ3144444-4-4-4444-440040000000-40000000000000000000000000
χ3244444-4-4-44-4-4-4400-4000000040000000000000000000000000
χ33444-4-44-40000000004i−4i000000022-2-20000002i−2i000000000000
χ34444-4-44-40000000004i−4i0000000-2-222000000−2i2i000000000000
χ35444-4-44-4000000000−4i4i000000022-2-2000000−2i2i000000000000
χ36444-4-44-4000000000−4i4i0000000-2-2220000002i−2i000000000000
χ3744-44-4000-4440400-40000000002-22-200002-200000000000000
χ3844-44-4000-4440400-4000000000-22-220000-2200000000000000
χ3944-44-4000-4-4-4040040000000002-22-20000-2200000000000000
χ4044-44-4000-4-4-404004000000000-22-2200002-200000000000000
χ4144-4-4400-4000404-400000000002-2-2202-200000000000000000
χ4244-4-4400-4000404-40000000000-222-20-2200000000000000000
χ4344-4-4400-400040-4400000000002-2-220-2200000000000000000
χ4444-4-4400-400040-440000000000-222-202-200000000000000000
χ45888-8-8-88000000000000000000000000000000000000000000
χ4688-88-80008000-8000000000000000000000000000000000000
χ4788-8-88008000-80000000000000000000000000000000000000
χ4816-1600000008-800000000000000000000000000000000000000
χ4916-160000000-8800000000000000000000000000000000000000

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