Finite Group Databasebeta

← Group #72339007

Character table — Group #72339007

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size11244488881616161616161616161616323232323232323232646464646464646464646464128128128128128128128128128128128128128128128128256256256
order1222222244222224444442222444442444444488884444444444888888488
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-111-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-111-1111-1-111-1-1-1-1-1-111-1-11111-1-11111-1-1-1
χ51111111111111111111111-1-11111111-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111
χ71111111111111111111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1
χ81111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111
χ922222222222222222-222-2200-2200-2-200-2-20000000000000022-2-2000000000
χ1022222222222222222-222-2200-2200-2-200-2-200000000000000-2-222000000000
χ112222222222222-2-2-2-22-2-22-22222002202-2-20022000000-2-2000000000000000
χ122222222222222-2-2-2-22-2-22-2-2-22200220-2-2-200-2-200000022000000000000000
χ132222222222222-2-2-2-2-2-2-2-2-200-2200-2-20022000000000000000000002i2i−2i−2i000
χ142222222222222-2-2-2-2-2-2-2-2-200-2200-2-2002200000000000000000000−2i−2i2i2i000
χ152222222222-2-2222222-2-22-2002-222-2-2202-2220000000000-2-20000000000000
χ162222222222-2-2222222-2-22-2002-2-2-2-2-2-202-2-2-20000000000220000000000000
χ172222222222-2-222222-2-2-2-2-200-2-2002200-2200002222-2-200000000000000000
χ182222222222-2-222222-2-2-2-2-200-2-2002200-220000-2-2-2-22200000000000000000
χ192222222222-2-22-2-2-2-222222002-200-2-200-22000000000000000000220000-200
χ202222222222-2-22-2-2-2-222222002-200-2-200-22000000000000000000-2-20000200
χ212222222222-2-22-2-2-2-2-222-2200-2-20022002-200000000000000000000000002-2
χ222222222222-2-22-2-2-2-2-222-2200-2-20022002-20000000000000000000000000-22
χ2344444444-4-400-44-44-40000022000000020000-2-20000002-2000000000000000
χ2444444444-4-400-44-44-400000-2-20000000-2000022000000-22000000000000000
χ2544444444-4-400-4-44-440000022000000020000-2-2000000-22000000000000000
χ2644444444-4-400-4-44-4400000-2-20000000-20000220000002-2000000000000000
χ27444444-4-44400-400004004000-4000000000000022-2-22-200000000000000000
χ28444444-4-44400-400004004000-40000000000000-2-222-2200000000000000000
χ29444444-4-44400-40000-400-40004000000000000022-2-2-2200000000000000000
χ30444444-4-44400-40000-400-400040000000000000-2-2222-200000000000000000
χ31444444-4-4-4-40040000000000000224-42000-2-200000000002-20000000000000
χ32444444-4-4-4-4004000000000000022-442000-2-20000000000-220000000000000
χ33444444-4-4-4-40040000000000000-2-24-4-2000220000000000-220000000000000
χ34444444-4-4-4-40040000000000000-2-2-44-20002200000000002-20000000000000
χ354444-4-44-4000000-4040000000002200-20002-2002i−2i2i−2i000000002i−2i000000000
χ364444-4-44-4000000-4040000000002200-20002-200−2i2i−2i2i00000000−2i2i000000000
χ374444-4-44-4000000-404000000000-2-2002000-22002i−2i2i−2i00000000−2i2i000000000
χ384444-4-44-4000000-404000000000-2-2002000-2200−2i2i−2i2i000000002i−2i000000000
χ394444-4-4-4400000-40400000000002200-2000-22002i−2i−2i2i0000002i−2i00000000000
χ404444-4-4-4400000-40400000000002200-2000-2200−2i2i2i−2i000000−2i2i00000000000
χ414444-4-4-4400000-4040000000000-2-20020002-2002i−2i−2i2i000000−2i2i00000000000
χ424444-4-4-4400000-4040000000000-2-20020002-200−2i2i2i−2i0000002i−2i00000000000
χ438888-8-88-800000080-800000000000000000000000000000000000000000000
χ448888-8-8-880000080-8000000000000000000000000000000000000000000000
χ45888-88-8000000000000440-4000000000000000000000000000000002-22-2000
χ46888-88-8000000000000440-400000000000000000000000000000000-22-22000
χ47888-88-8000000000000-4-404000000000000000000000000000000002i−2i−2i2i000
χ48888-88-8000000000000-4-40400000000000000000000000000000000−2i2i2i−2i000
χ49888-8-880000440000000000440-400000-400000000000000000000000000000
χ50888-8-880000440000000000-4-40-400000400000000000000000000000000000
χ51888-8-880000-4-40000000000000400000000004-400000000000000000000000
χ52888-8-880000-4-4000000000000040000000000-4400000000000000000000000
χ531616-16000008-8000000008-800000000000000000000000000000000000000000
χ541616-16000008-800000000-8800000000000000000000000000000000000000000
χ551616-1600000-888-80000000000000000000000000000000000000000000000000
χ561616-1600000-88-880000000000000000000000000000000000000000000000000
χ5716-16000000000000000-400404-4004-40000000000000000000000002-20000000
χ5816-16000000000000000-400404-400-44000000000000000000000000-220000000
χ5916-16000000000000000-40040-44004-4000000000000000000000000-220000000
χ6016-16000000000000000-40040-4400-440000000000000000000000002-20000000
χ6132-32000000000000000800-80000000000000000000000000000000000000000

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