Finite Group Databasebeta

← Group #72284927

Character table — Group #72284927

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size113381212121212121624242424242424484848484848484848969696969696128128192192192192256256256
order1222422444444444444244448888244488368888121212
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ311111111111-1-1-1-1-111111-1-1-11111-1-1-1-1111111-1-11-1-1
χ411111111111-1-1-1-1-111111-1-1-1-1-1-1-11111-1-111-1-1111-1-1
χ52222222222222222222222220000000000-1-10000-1-1-1
χ622222222222-2-2-2-2-222222-2-2-20000000000-1-10000-111
χ72222-222-2-2-2-20000022-2-220000000000000220000-200
χ82222-222-2-2-2-20000022-2-220000000000000-1-100001−i3i3
χ92222-222-2-2-2-20000022-2-220000000000000-1-100001i3−i3
χ103333333-1-1-1-13-1-1-1-1-1-13-1-13-1-11111-1-1-1-11100-1-111000
χ113333333-1-1-1-13-1-1-1-1-1-13-1-13-1-1-1-1-1-11111-1-10011-1-1000
χ123333333-1-1-1-1-31111-1-13-1-1-311111111111100-1-1-1-1000
χ133333333-1-1-1-1-31111-1-13-1-1-311-1-1-1-1-1-1-1-1-1-1001111000
χ1433333-1-13-13-1333-1-1-13-1-1-1-1-1-1111111-1-1-1-1001-11-1000
χ1533333-1-13-13-1333-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1111100-11-11000
χ1633333-1-13-13-1-3-3-311-13-1-1-11111111-1-111-1-1001-1-11000
χ1733333-1-13-13-1-3-3-311-13-1-1-1111-1-1-1-111-1-11100-111-1000
χ1833333-1-1-13-133-1-1-1-13-1-1-1-1-13-11111-1-111-1-100-111-1000
χ1933333-1-1-13-133-1-1-1-13-1-1-1-1-13-1-1-1-1-111-1-111001-1-11000
χ2033333-1-1-13-13-311113-1-1-1-11-31111111-1-1-1-100-11-11000
χ2133333-1-1-13-13-311113-1-1-1-11-31-1-1-1-1-1-11111001-11-1000
χ224-4-440-440000000000000000022-2-200002-2-220000000
χ234-4-440-4400000000000000000-2-2220000-22-220000000
χ2466666-2-2-2-2-2-26-2-222-2-2-222-2-220000000000000000000
χ2566666-2-2-2-2-2-2-622-2-2-2-2-22222-20000000000000000000
χ266666-666222200000-2-2-62-20000000000000000000000
χ276666-6-2-2222200044-2-22-2200-40000000000000000000
χ286666-6-2-22222000-4-4-2-22-220040000000000000000000
χ296666-6-2-22-62-6000006-222-20000000000000000000000
χ306666-6-2-2-62-6200000-2622-20000000000000000000000
χ318-8-880-880000000000000000000000000002-20000000
χ321212-4-400040-4004i−4i00000000002i−2i2i−2i2-20000000000000
χ331212-4-400040-4004i−4i0000000000−2i2i−2i2i-220000000000000
χ341212-4-400040-400−4i4i00000000002i−2i2i−2i-220000000000000
χ351212-4-400040-400−4i4i0000000000−2i2i−2i2i2-20000000000000
χ3612-124-4000040-40004i−4i000000002i−2i−2i2i002-200000000000
χ3712-124-4000040-40004i−4i00000000−2i2i2i−2i00-2200000000000
χ3812-124-4000040-4000−4i4i000000002i−2i−2i2i00-2200000000000
χ3912-124-4000040-4000−4i4i00000000−2i2i2i−2i002-200000000000
χ4012-12-121204-40000000000000000022-2-20000-22000000000
χ4112-12-121204-400000000000000000-2-22200002-2000000000
χ422424-8-8000-808000000000000000000000000000000000
χ4324-248-80000-80800000000000000000000000000000000

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