Finite Group Databasebeta

← Group #72314464

Character table — Group #72314464

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222444444888888888888888888888888888888816161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222244444444444444442222224444444444444444444444444444444444448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ5111111111111111111111111-1-1-1-1-1-111-1-1-111111111-1-1-1111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−i
χ6111111111111111111111111-1-1-1-1-1-111-1-1-111111111-1-1-1111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii
χ7111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii
χ8111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i
χ91111111111111111111111-1-111-1-1-1-1-1-111-111111111-1-1-111-11-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−ii−i−ii−iii−i
χ101111111111111111111111-1-111-1-1-1-1-1-111-111111111-1-1-111-11-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii−iii−ii−i−ii
χ111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ121111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ131111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ161111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111
χ17111111111111111111-1-1-1-1111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ18111111111111111111-1-1-1-1111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ19111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ20111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ21111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111111111-1-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii
χ22111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111111111-1-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i
χ23111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-11111-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i
χ24111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-11111-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii
χ25111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-111111111-1-1-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−iii−ii−i−ii
χ26111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-111111111-1-1-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1−i−iii−i−iii−i−iii−i−iiii−i−ii−iii−i
χ27111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-111111111-1-111-1-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ28111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-111111111-1-111-1-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ29111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ30111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ31111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ32111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ3322222222222-2-222-2-2-2000022222-2-22222222222-2-2-2-2-2-22002-22-22-22-2-2-2-2-20000-2-222000000000000000000000000000000000000
χ3422222222222-2-222-2-2-2000022222-2-2222222-2-2-2-22222-2-2200-22-22-22-22-2-2-2-2000022-2-2000000000000000000000000000000000000
χ3522222222222-2-222-2-2-2000022-2-2-222-222-2-2-22222-2-2-2-222-20022-2222-22-2-2220000-2-2-2-2000000000000000000000000000000000000
χ3622222222222-2-222-2-2-2000022-2-2-222-222-2-2-2-2-2-2-2222222-200-2-22-2-2-22-2-2-22200002222000000000000000000000000000000000000
χ3722222222222-2-222-2-2-20000-2-222-222-2-2-222-22222-2-2-2-222-200-2-2-22-2-2-2222-2-200002222000000000000000000000000000000000000
χ3822222222222-2-222-2-2-20000-2-222-222-2-2-222-2-2-2-2-2222222-200222-2222-222-2-20000-2-2-2-2000000000000000000000000000000000000
χ3922222222222-2-222-2-2-20000-2-2-2-22-2-22-2-2-2-222222-2-2-2-2-2-2200-222-2-222-22222000022-2-2000000000000000000000000000000000000
χ4022222222222-2-222-2-2-20000-2-2-2-22-2-22-2-2-2-22-2-2-2-22222-2-22002-2-222-2-2222220000-2-222000000000000000000000000000000000000
χ41222-2-2-2-2222222-2-22-2-20000000022-2-20000222-2-222-2-22-2-200002200-2-20000000000000000000000002i−2i00002i−2i2i−2i00002i−2i00000000
χ42222-2-2-2-2222222-2-22-2-20000000022-2-20000222-2-222-2-22-2-200002200-2-2000000000000000000000000−2i2i0000−2i2i−2i2i0000−2i2i00000000
χ43222-2-2-2-2222222-2-22-2-20000000022-2-200002-2-222-2-2222-2-20000-2-200220000000000000000000000002i−2i00002i−2i−2i2i0000−2i2i00000000
χ44222-2-2-2-2222222-2-22-2-20000000022-2-200002-2-222-2-2222-2-20000-2-20022000000000000000000000000−2i2i0000−2i2i2i−2i00002i−2i00000000
χ45222-2-2-2-2222222-2-22-2-200000000-2-2220000-222-2-222-2-2-2220000-2-200220000000000000000000000002-20000-222-20000-2200000000
χ46222-2-2-2-2222222-2-22-2-200000000-2-2220000-222-2-222-2-2-2220000-2-20022000000000000000000000000-2200002-2-2200002-200000000
χ47222-2-2-2-2222222-2-22-2-200000000-2-2220000-2-2-222-2-222-22200002200-2-20000000000000000000000002-20000-22-2200002-200000000
χ48222-2-2-2-2222222-2-22-2-200000000-2-2220000-2-2-222-2-222-22200002200-2-2000000000000000000000000-2200002-22-20000-2200000000
χ49222-2-2-2-22222-2-2-2-2-222000000002-22-20000222-2-2-2-222-22-200002-200-22000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000
χ50222-2-2-2-22222-2-2-2-2-222000000002-22-20000222-2-2-2-222-22-200002-200-2200000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ51222-2-2-2-22222-2-2-2-2-222000000002-22-200002-2-22222-2-2-22-20000-22002-2000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000
χ52222-2-2-2-22222-2-2-2-2-222000000002-22-200002-2-22222-2-2-22-20000-22002-200000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000
χ53222-2-2-2-22222-2-2-2-2-22200000000-22-220000-222-2-2-2-2222-220000-22002-2000000000000000000000000002-2-2200002-2-220000000000
χ54222-2-2-2-22222-2-2-2-2-22200000000-22-220000-222-2-2-2-2222-220000-22002-200000000000000000000000000-222-20000-222-20000000000
χ55222-2-2-2-22222-2-2-2-2-22200000000-22-220000-2-2-22222-2-22-2200002-200-22000000000000000000000000002-2-220000-222-20000000000
χ56222-2-2-2-22222-2-2-2-2-22200000000-22-220000-2-2-22222-2-22-2200002-200-2200000000000000000000000000-222-200002-2-220000000000
χ57222-2-2-2-222-2-22222-22-222222-22-222-2-22-22-2-200000000-222-2-2000000002-22-2000000002-2002-22-20000000000000000000000000000
χ58222-2-2-2-222-2-22222-22-222222-2-22-2-2222-2-222000000002-2-2-2-2000000002-2-2200000000-22002-2-220000000000000000000000000000
χ59222-2-2-2-222-2-22222-22-22222-222-2-2-222-222-22000000002-2-2-2-200000000-222-200000000-2200-222-20000000000000000000000000000
χ60222-2-2-2-222-2-22222-22-22222-22-2222-2-2-22-22-200000000-222-2-200000000-22-22000000002-200-22-220000000000000000000000000000
χ61222-2-2-2-222-2-22222-22-2-2-2-2-22-22-222-2-22-22-2-200000000-22222000000002-22-200000000-2200-22-220000000000000000000000000000
χ62222-2-2-2-222-2-22222-22-2-2-2-2-22-2-22-2-2222-2-222000000002-2-222000000002-2-22000000002-200-222-20000000000000000000000000000
χ63222-2-2-2-222-2-22222-22-2-2-2-2-2-222-2-2-222-222-22000000002-2-22200000000-222-2000000002-2002-2-220000000000000000000000000000
χ64222-2-2-2-222-2-22222-22-2-2-2-2-2-22-2222-2-2-22-22-200000000-2222200000000-22-2200000000-22002-22-20000000000000000000000000000
χ65222-2-2-2-222-2-2-2-2222-2200002-22-22-22-22-22-2-2000000002-220000000000-22-2222-2-20000002-200002-22-2000000000000000000000000
χ66222-2-2-2-222-2-2-2-2222-2200002-22-22-22-22-22-2-2000000002-220000000000-22-22-2-222000000-220000-22-22000000000000000000000000
χ67222-2-2-2-222-2-2-2-2222-2200002-2-22-22-222-2-22200000000-22-20000000000-222-222-2-2000000-2200002-2-22000000000000000000000000
χ68222-2-2-2-222-2-2-2-2222-2200002-2-22-22-222-2-22200000000-22-20000000000-222-2-2-2220000002-20000-222-2000000000000000000000000
χ69222-2-2-2-222-2-2-2-2222-220000-222-2-22-22-222-2200000000-22-200000000002-2-2222-2-2000000-220000-222-2000000000000000000000000
χ70222-2-2-2-222-2-2-2-2222-220000-222-2-22-22-222-2200000000-22-200000000002-2-22-2-2220000002-200002-2-22000000000000000000000000
χ71222-2-2-2-222-2-2-2-2222-220000-22-222-22-2-22-22-2000000002-2200000000002-22-222-2-20000002-20000-22-22000000000000000000000000
χ72222-2-2-2-222-2-2-2-2222-220000-22-222-22-2-22-22-2000000002-2200000000002-22-2-2-222000000-2200002-22-2000000000000000000000000
χ73444444444-4-444-4-4-4-440000000044440000-400000000-4-4-40000000000000000000000000000000000000000000000000000000000
χ74444444444-4-444-4-4-4-4400000000-4-4-4-400004000000004440000000000000000000000000000000000000000000000000000000000
χ75444444444-4-4-4-4-4-444-4000000004-4-440000-40000000044-40000000000000000000000000000000000000000000000000000000000
χ76444444444-4-4-4-4-4-444-400000000-444-40000400000000-4-440000000000000000000000000000000000000000000000000000000000
χ7744-444-4-4-444-4004-400000000044000000-4-404-44-40000000000000000000000000004-4000000000000000000000000000000000000
χ7844-444-4-4-444-4004-400000000044000000-4-40-44-44000000000000000000000000000-44000000000000000000000000000000000000
χ7944-444-4-4-444-4004-4000000000-4-40000004404-44-4000000000000000000000000000-44000000000000000000000000000000000000
χ8044-444-4-4-444-4004-4000000000-4-4000000440-44-440000000000000000000000000004-4000000000000000000000000000000000000
χ8144-444-4-4-44-4400-44000000044000000-4-400000004-44-40000000000000000000004-400000000000000000000000000000000000000
χ8244-444-4-4-44-4400-44000000044000000-4-40000000-44-44000000000000000000000-4400000000000000000000000000000000000000
χ8344-444-4-4-44-4400-440000000-4-40000004400000004-44-4000000000000000000000-4400000000000000000000000000000000000000
χ8444-444-4-4-44-4400-440000000-4-4000000440000000-44-440000000000000000000004-400000000000000000000000000000000000000
χ8544-4-4-444-444-400-4400000004-4000000-440004-4-440000000004000-4000000000000000000000000000000000000000000000000000
χ8644-4-4-444-444-400-4400000004-4000000-44000-444-4000000000-40004000000000000000000000000000000000000000000000000000
χ8744-4-4-444-444-400-440000000-440000004-40004-4-44000000000-40004000000000000000000000000000000000000000000000000000
χ8844-4-4-444-444-400-440000000-440000004-4000-444-40000000004000-4000000000000000000000000000000000000000000000000000
χ8944-4-4-444-44-44004-40000000004-4000000-44000004-4-440000004000-400000000000000000000000000000000000000000000000000
χ9044-4-4-444-44-44004-40000000004-4000000-4400000-444-4000000-4000400000000000000000000000000000000000000000000000000
χ9144-4-4-444-44-44004-4000000000-440000004-4000004-4-44000000-4000400000000000000000000000000000000000000000000000000
χ9244-4-4-444-44-44004-4000000000-440000004-400000-444-40000004000-400000000000000000000000000000000000000000000000000
χ938888-88-8-8-80000000000000000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ948888-88-8-8-8000000000000000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ95888-88-88-8-80000000000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ96888-88-88-8-8000000000000000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ9788-88-8-888-800000000044-4-40000000000000000000000004-400000000000000000000000000000000000000000000000000000000
χ9888-88-8-888-8000000000-4-444000000000000000000000000-4400000000000000000000000000000000000000000000000000000000
χ9988-8-888-88-800000000044-4-4000000000000000000000000-4400000000000000000000000000000000000000000000000000000000
χ10088-8-888-88-8000000000-4-4440000000000000000000000004-400000000000000000000000000000000000000000000000000000000
χ10116-160000000008-800000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000008-80000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000-88000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000-8800000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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