Finite Group Databasebeta

← Group #72311044

Character table — Group #72311044

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112444888888888888881616161616161616161616161616323232323232323232323264646464646464646464646464128128128128
order12222222222222444444222222444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111-1-111-111-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111-1-111-111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-11111-1-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-11111-1-1-111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ101111111111-1-1-1-111111111-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ121111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ131111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-11-11111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ141111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-11-11111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ151111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222222222200222200-2-2-200-2-20000-2-2-20000000000000000
χ182222222222222222-2-2-2-2-2-2-2-20022-2-20022200-2-20000-2-220000000000000000
χ192222222222-2-2-2-222222222-2-200-2-2-2-200-2-2-200-2-200002220000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-22200-2-2220022200-2-2000022-20000000000000000
χ21222222-2-22222-2-2-2-200000000002-20022000022-200-2-22-20002-2000000000000
χ22222222-2-22222-2-2-2-200000000002-200-2-20000-22-200222-2000-22000000000000
χ23222222-2-22222-2-2-2-200000000222-2000000020-22-2-200-2202-200000000000000
χ24222222-2-22222-2-2-2-200000000-2-22-20000000-20-222200-220-2200000000000000
χ25222222-2-222-2-222-2-20000000000-220022000022-200-2-2-22000-22000000000000
χ26222222-2-222-2-222-2-20000000000-2200-2-20000-22-20022-220002-2000000000000
χ27222222-2-222-2-222-2-20000000022-22000000020-22-2-2002-20-2200000000000000
χ28222222-2-222-2-222-2-200000000-2-2-220000000-20-2222002-202-200000000000000
χ2944444444-4-40000-4-444-4-44-40000000000000000000000000000000000000000
χ3044444444-4-40000-4-4-4-444-440000000000000000000000000000000000000000
χ31444444-4-4-4-4000044000000000000000044-4000000000000000000000000000
χ32444444-4-4-4-40000440000000000000000-4-44000000000000000000000000000
χ334444-4-4004-400440000000000000-400000000000000000000002-22-200000000
χ344444-4-4004-400440000000000000-40000000000000000000000-22-2200000000
χ354444-4-4004-400-4-40000000000000400000000000000000000002i−2i−2i2i00000000
χ364444-4-4004-400-4-4000000000000040000000000000000000000−2i2i2i−2i00000000
χ374444-4-400-444400000000000000-40000000000000000000000000002-22-20000
χ384444-4-400-444400000000000000-4000000000000000000000000000-22-220000
χ394444-4-400-44-4-40000000000000040000000000000000000000000002i−2i−2i2i0000
χ404444-4-400-44-4-4000000000000004000000000000000000000000000−2i2i2i−2i0000
χ41444-4-444-40000000000440-40022000022000-2-2002-22-20000000000000000000
χ42444-4-444-40000000000440-400-2-20000-2-20002200-22-220000000000000000000
χ43444-4-444-40000000000-4-40400220000-2-2000-22002-2-220000000000000000000
χ44444-4-444-40000000000-4-40400-2-20000220002-200-222-20000000000000000000
χ45444-4-44-44000000004400-400022000022000-2-200-22-220000000000000000000
χ46444-4-44-44000000004400-4000-2-20000-2-200022002-22-20000000000000000000
χ47444-4-44-4400000000-4-4004000220000-2-2000-2200-222-20000000000000000000
χ48444-4-44-4400000000-4-4004000-2-20000220002-2002-2-220000000000000000000
χ49888-88-80000000000000000440000-4-400000000000000000000000000000000
χ50888-88-80000000000000000-4-400004400000000000000000000000000000000
χ5188-800000004-44-44-44-44-4000000004-400000000000000000000000000000000
χ5288-800000004-44-44-4-44-4400000000-4400000000000000000000000000000000
χ5388-800000004-4-44-444-4-44004-400000000000000000000000000000000000000
χ5488-800000004-4-44-44-444-400-4400000000000000000000000000000000000000
χ5588-80000000-444-4-444-4-4400-4400000000000000000000000000000000000000
χ5688-80000000-444-4-44-444-4004-400000000000000000000000000000000000000
χ5788-80000000-44-444-44-44-400000000-4400000000000000000000000000000000
χ5888-80000000-44-444-4-44-44000000004-400000000000000000000000000000000
χ5916-1600000000000000000000004-400004i−4i4i−4i0000000000000000000000000000
χ6016-1600000000000000000000004-40000−4i4i−4i4i0000000000000000000000000000
χ6116-160000000000000000000000-4400004i−4i−4i4i0000000000000000000000000000
χ6216-160000000000000000000000-440000−4i4i4i−4i0000000000000000000000000000

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