Finite Group Databasebeta

← Group #72338858

Character table — Group #72338858

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1124448888888816161616161616161616161616161616163232323232323232323232323264646464128128128128128128128128
order12222222444444222222244444444442224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-1-1-111-1-1ii−i−iii−i−i
χ61111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-1-1-111-1-1−i−iii−i−iii
χ71111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii
χ81111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i
χ911111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ1011111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ1211111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ1311111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-11111-1-1111-1-111-1-11
χ1411111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-11111-1-111-111-1-111-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111111-1-11-1-11-111-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-111-11-1-11
χ172222222222-2-2-2-22-2-2000000000000220020000-2-222-2-22-20000000000
χ182222222222-2-2-2-22-2-2000000000000220020000-2-2-2-222-220000000000
χ192222222222-2-2-2-22-2-2000000000000-2-200-200002222-2-2-220000000000
χ202222222222-2-2-2-22-2-2000000000000-2-200-2000022-2-2222-20000000000
χ2122222222-2-222-2-2-22-20000000000220002000-2-2002-22-2002-200000000
χ2222222222-2-222-2-2-22-20000000000220002000-2-200-22-2200-2200000000
χ2322222222-2-222-2-2-22-20000000000-2-2000-200022002-22-200-2200000000
χ2422222222-2-222-2-2-22-20000000000-2-2000-20002200-22-22002-200000000
χ2522222222-2-2-2-222-2-2222-2-222-2-2220000200-2-200002-2-22000000000000
χ2622222222-2-2-2-222-2-2222-2-222-2-2-2-20000-200220000-222-2000000000000
χ2722222222-2-2-2-222-2-22-2-222-2-222220000200-2-20000-222-2000000000000
χ2822222222-2-2-2-222-2-22-2-222-2-222-2-20000-2002200002-2-22000000000000
χ29444444-4-400004400-400000000440000-4000000000000000000000000
χ30444444-4-400004400-400000000-4-400004000000000000000000000000
χ31444444-4-40000-4-4004000000000000000004-400000000000000000000
χ32444444-4-40000-4-400400000000000000000-4400000000000000000000
χ33444-4-444-40044000-40000000000044000-400000000000000000000000
χ34444-4-444-40044000-400000000000-4-4000400000000000000000000000
χ35444-4-444-400-4-40004000000000000000000004-4000000000000000000
χ36444-4-444-400-4-4000400000000000000000000-44000000000000000000
χ37444-4-44-44440000-4000000000000004400-40000000000000000000000
χ38444-4-44-44440000-400000000000000-4-40040000000000000000000000
χ39444-4-44-44-4-400004000000000000000000000004-40000000000000000
χ40444-4-44-44-4-40000400000000000000000000000-440000000000000000
χ418888-8-800000000000004400-4-40000000000000000000000000000000
χ428888-8-80000000000000-4-400440000000000000000000000000000000
χ43888-88-8000000000004400-4-4000000000000000000000000000000000
χ44888-88-800000000000-4-40044000000000000000000000000000000000
χ4588-8000004-44-44-400000004-44-40000000000000000000000000000000
χ4688-8000004-44-44-40000000-44-440000000000000000000000000000000
χ4788-8000004-4-44-440004-44-400000000000000000000000000000000000
χ4888-8000004-4-44-44000-44-4400000000000000000000000000000000000
χ4988-800000-444-4-440004-4-4400000000000000000000000000000000000
χ5088-800000-444-4-44000-444-400000000000000000000000000000000000
χ5188-800000-44-444-400000004-4-440000000000000000000000000000000
χ5288-800000-44-444-40000000-444-40000000000000000000000000000000
χ5316-16000000000000000000000004-44-44-40000000000000000000000000
χ5416-16000000000000000000000004-4-44-440000000000000000000000000
χ5516-1600000000000000000000000-444-4-440000000000000000000000000
χ5616-1600000000000000000000000-44-444-40000000000000000000000000

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