Finite Group Databasebeta

← Group #72285375

Character table — Group #72285375

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1124448888888816161616161616161616163232323232323232323232323232323264646464128128128128128128128128
order12222222222244222224444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-1ii−i−iii−i−i
χ61111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-1−i−iii−i−iii
χ71111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii
χ81111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i
χ9111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ10111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ11111111111111111-1-1-1-111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ12111111111111111-1-1-1-111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ13111111111111111-1-1-1-111-1-1-1-1-11-1-11-1-1-111-1-11111-1-1111-1-111-1-11
χ14111111111111111-1-1-1-111-1-1-1-1-11-1-11-1-1-111-1-11111-1-111-111-1-111-1
χ15111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-11-1-11-111-1
χ16111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-111-11-1-11
χ1722222222-2-222-2-2-200002-200000020020000-2-222-2-22-20000000000
χ1822222222-2-222-2-2-200002-200000020020000-2-2-2-222-220000000000
χ1922222222-2-222-2-2-200002-2000000-200-200002222-2-2-220000000000
χ2022222222-2-222-2-2-200002-2000000-200-2000022-2-2222-20000000000
χ21222222-2-22222-2-2-20000-22000002002000-2-2002-22-2002-200000000
χ22222222-2-22222-2-2-20000-22000002002000-2-200-22-2200-2200000000
χ23222222-2-22222-2-2-20000-2200000-200-200022002-22-200-2200000000
χ24222222-2-22222-2-2-20000-2200000-200-20002200-22-22002-200000000
χ25222222-2-2-2-22222222-2-2-2-222-2-2200200-2-200002-2-22000000000000
χ26222222-2-2-2-22222222-2-2-2-222-2-2-200-200220000-222-2000000000000
χ27222222-2-2-2-222222-2-222-2-2-2-222200200-2-20000-222-2000000000000
χ28222222-2-2-2-222222-2-222-2-2-2-222-200-2002200002-2-22000000000000
χ294444440000-4-444-40000000000400-4000000000000000000000000
χ304444440000-4-444-40000000000-4004000000000000000000000000
χ314444440000-4-4-4-4400000000000000004-400000000000000000000
χ324444440000-4-4-4-440000000000000000-4400000000000000000000
χ33444-4-4400444-400000000-400000400-400000000000000000000000
χ34444-4-4400444-400000000-400000-400400000000000000000000000
χ35444-4-4400-4-44-40000000040000000000004-4000000000000000000
χ36444-4-4400-4-44-4000000004000000000000-44000000000000000000
χ37444-4-444400-440000000-40000000400-40000000000000000000000
χ38444-4-444400-440000000-40000000-40040000000000000000000000
χ39444-4-44-4-400-44000000040000000000000004-40000000000000000
χ40444-4-44-4-400-4400000004000000000000000-440000000000000000
χ418888-8-800000000000440000-4-40000000000000000000000000000
χ428888-8-800000000000-4-40000440000000000000000000000000000
χ43888-88-8000000000440000-4-4000000000000000000000000000000
χ44888-88-8000000000-4-4000044000000000000000000000000000000
χ4588-80004-44-4004-40004-4004-4000000000000000000000000000000
χ4688-80004-44-4004-4000-4400-44000000000000000000000000000000
χ4788-80004-4-4400-4404-40000004-40000000000000000000000000000
χ4888-80004-4-4400-440-44000000-440000000000000000000000000000
χ4988-8000-444-400-4404-4000000-440000000000000000000000000000
χ5088-8000-444-400-440-440000004-40000000000000000000000000000
χ5188-8000-44-44004-40004-400-44000000000000000000000000000000
χ5288-8000-44-44004-4000-44004-4000000000000000000000000000000
χ5332-32000000000000000000000000000000000000000000000000000

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