Finite Group Databasebeta

← Group #72337654

Character table — Group #72337654

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111444888888888888161616161632323232323232323232323232323232323264646464
order1222222224444444444222224444444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111-1-1111111-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ10111111111-1-1111111-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii
χ11111111111-1-1111111-1-1111-1-1-1-1-1-111-1-111ii−i−i−i−iiii−i−ii
χ12111111111-1-1111111-1-1111-1-1-1-1-1-111-1-111−i−iiiii−i−i−iii−i
χ13111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111ii−i−iii−i−i−ii−ii
χ14111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111−i−iii−i−iiii−ii−i
χ15111111111-1-111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−iii−i
χ16111111111-1-111-1-1-1-1-1-11-1-1-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii
χ172222222222-2-2-222-2-22-2-22-22-22-200000000000000000000
χ182222222222-2-2-2-2-2222-2-2-222-2-2200000000000000000000
χ19222222222-22-2-222-2-2-22-22-2-22-2200000000000000000000
χ20222222222-22-2-2-2-222-22-2-22-222-200000000000000000000
χ212222222-2-22222000022-200-2-20000002i−2i2i−2i000000000000
χ222222222-2-22222000022-200-2-2000000−2i2i−2i2i000000000000
χ232222222-2-22-2-2-200002-2200-22002i−2i2i−2i0000000000000000
χ242222222-2-22-2-2-200002-2200-2200−2i2i−2i2i0000000000000000
χ252222222-2-2-22-2-20000-222002-2002i−2i−2i2i0000000000000000
χ262222222-2-2-22-2-20000-222002-200−2i2i2i−2i0000000000000000
χ272222222-2-2-2-2220000-2-2-200220000002i−2i−2i2i000000000000
χ282222222-2-2-2-2220000-2-2-20022000000−2i2i2i−2i000000000000
χ294444-4-444-4000000440000-4000000000000000000000000
χ304444-4-444-4000000-4-400004000000000000000000000000
χ314444-4-44-4400004400000-40000000000000000000000000
χ324444-4-44-440000-4-40000040000000000000000000000000
χ3388888-8-8000000000000000000000000000000000000000
χ348888-88-8000000000000000000000000000000000000000
χ3588-8-800000040000000-400000000000000000002i−2i2i−2i0000
χ3688-8-800000040000000-40000000000000000000−2i2i−2i2i0000
χ3788-8-8000000-40000000400000000000000000002-2-220000
χ3888-8-8000000-4000000040000000000000000000-222-20000
χ398-88-80000040000000-400000000000000002i−2i2i−2i00000000
χ408-88-80000040000000-40000000000000000−2i2i−2i2i00000000
χ418-88-800000-40000000400000000000000002-2-2200000000
χ428-88-800000-4000000040000000000000000-222-200000000
χ438-8-8800000004-44-44-400000000000000000000000000000
χ448-8-8800000004-4-44-4400000000000000000000000000000
χ458-8-880000000-444-4-4400000000000000000000000000000
χ468-8-880000000-44-444-400000000000000000000000000000

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