Finite Group Databasebeta

← Group #72338978

Character table — Group #72338978

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112444888888888888881616161616161616161616161616323232323232323232323264646464646464646464646464128128128128
order12222222224444444444222222444444442224444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111111-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11-11111-1-111-111-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-11-11111-1-111-111-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-11111-1-111-1-1-11-11
χ12111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-11111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-11111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ172222222222222222222222222222-2-20000-200-2-20000-2-2-20000000000000000
χ182222222222222222-2-2-2-222-2-2-2-2-2-2-2-20000-200-2-200002220000000000000000
χ19222222222222-2-2-2-22222-2-222-2-2-2-2220000200-2-20000-2-220000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222220000200-2-2000022-20000000000000000
χ21222222-2-222-2-2000022-2-2002-200000000220022-200-2-22-20002-2000000000000
χ22222222-2-222-2-2000022-2-2002-200000000-2-200-22-200222-2000-22000000000000
χ23222222-2-222-2-2000022-2-2002-20000002200020-22-2-200-2202-200000000000000
χ24222222-2-222-2-2000022-2-2002-2000000-2-2000-20-222200-220-2200000000000000
χ25222222-2-222-2-20000-2-22200-2200000000220022-200-2-2-22000-22000000000000
χ26222222-2-222-2-20000-2-22200-2200000000-2-200-22-20022-220002-2000000000000
χ27222222-2-222-2-20000-2-22200-220000002200020-22-2-2002-20-2200000000000000
χ28222222-2-222-2-20000-2-22200-22000000-2-2000-20-2222002-202-200000000000000
χ2944444444-4-4-4-444-4-400004-40000000000000000000000000000000000000000
χ3044444444-4-4-4-4-4-4440000-440000000000000000000000000000000000000000
χ31444444-4-4-4-4440000000000000000440000-4000000000000000000000000000
χ32444444-4-4-4-4440000000000000000-4-400004000000000000000000000000000
χ334444-4-4004-40000000044000-4000000000000000000000000002-2002-2000000
χ344444-4-4004-40000000044000-400000000000000000000000000-2200-22000000
χ354444-4-4004-400000000-4-40004000000000000000000000000002i−2i00−2i2i000000
χ364444-4-4004-400000000-4-4000400000000000000000000000000−2i2i002i−2i000000
χ374444-4-400-44000000440000-4000000000000000000000000000002-2002-20000
χ384444-4-400-44000000440000-400000000000000000000000000000-2200-220000
χ394444-4-400-44000000-4-400004000000000000000000000000000002i−2i00−2i2i0000
χ404444-4-400-44000000-4-40000400000000000000000000000000000−2i2i002i−2i0000
χ41444-4-444-40000004400000-40000000022220-2-2002-22-20000000000000000000
χ42444-4-444-40000004400000-400000000-2-2-2-202200-22-220000000000000000000
χ43444-4-444-4000000-4-40000040000000022-2-20-22002-2-220000000000000000000
χ44444-4-444-4000000-4-400000400000000-2-22202-200-222-20000000000000000000
χ45444-4-44-44000044000000-400000000022220-2-200-22-220000000000000000000
χ46444-4-44-44000044000000-4000000000-2-2-2-2022002-22-20000000000000000000
χ47444-4-44-440000-4-4000000400000000022-2-20-2200-222-20000000000000000000
χ48444-4-44-440000-4-40000004000000000-2-22202-2002-2-220000000000000000000
χ49888-88-800000000000000000044-4-40000000000000000000000000000000000
χ50888-88-8000000000000000000-4-4440000000000000000000000000000000000
χ5188-800000004-44-44-44-44-40000004-40000000000000000000000000000000000
χ5288-800000004-44-44-4-44-44000000-440000000000000000000000000000000000
χ5388-800000004-4-44-444-44-4000000-440000000000000000000000000000000000
χ5488-800000004-4-44-44-44-440000004-40000000000000000000000000000000000
χ5588-80000000-444-4-444-4-4400004-4000000000000000000000000000000000000
χ5688-80000000-444-4-44-444-40000-44000000000000000000000000000000000000
χ5788-80000000-44-444-44-4-440000-44000000000000000000000000000000000000
χ5888-80000000-44-444-4-444-400004-4000000000000000000000000000000000000
χ5916-16000000000000000000000000004-44-44-40000000000000000000000000000
χ6016-16000000000000000000000000004-4-44-440000000000000000000000000000
χ6116-1600000000000000000000000000-444-4-440000000000000000000000000000
χ6216-1600000000000000000000000000-44-444-40000000000000000000000000000

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