Finite Group Databasebeta

← Group #72280285

Character table — Group #72280285

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111111222222222222444444448888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12224444222222444444222244444444444444444444222222222244444444444444224444888888888888888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111111111-1-111111-11-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111111111111111111-1-111111111-1-11111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-11-11
χ911111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ1211111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-11-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ17222222222222222222222222222222-2-2-2-2-2-2-2-2-222-2-2-20000000000000000000022-2-20202000000-2-200000000000000000000000000020-2
χ18222222222222222222222222222222-2-2-2-2-2-2-2-2-222-2-2-20000000000000000000022-2-20-20-200000022000000000000000000000000000-202
χ192222222222222222222222222222-2-222-2-2-2-2-2-2-2-2-222-200000000000000000000-2-22220200000-2-2000000000000000000000000000020-20
χ202222222222222222222222222222-2-222-2-2-2-2-2-2-2-2-222-200000000000000000000-2-222-20-200000220000000000000000000000000000-2020
χ212222222222222222222222222222-2-2-2-22222222-2-2-2-2200000000220000000022-2-2-2-2000022-2-20000-2-20000000000000000000000000000
χ222222222222222222222222222222-2-2-2-22222222-2-2-2-2200000000-2-200000000-2-2-2-2-2-20000-2-2220000220000000000000000000000000000
χ2322222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2222222-2-2-200000000000000000000-2-222020200000022000000000000000000000000000-20-2
χ2422222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2222222-2-2-200000000000000000000-2-2220-20-2000000-2-2000000000000000000000000000202
χ2522222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-22222-2-222-20000000000000000000022-2-220200000220000000000000000000000000000-20-20
χ2622222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-22222-2-222-20000000000000000000022-2-2-20-200000-2-200000000000000000000000000002020
χ2722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-220000000022000000002222220000-2-2220000-2-20000000000000000000000000000
χ2822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2200000000-2-200000000-2-22222000022-2-20000220000000000000000000000000000
χ292-2-2222-2-2-222-2-22-2-2-2222000000002-22-22-2-200002-22-22000022-2-22-2000022-2-22-200000000000000002-20000000000000000000022-2-20000
χ302-2-2222-2-2-222-2-22-2-2-2222000000002-22-22-2-200002-22-22000022-2-2-22000022-2-2-220000000000000000-2200000000000000000000-2-2220000
χ312-2-2222-2-2-222-2-22-2-2-2222000000002-22-22-2-200002-22-220000-2-2222-20000-2-2222-200000000000000002-200000000000000000000-2-2220000
χ322-2-2222-2-2-222-2-22-2-2-2222000000002-22-22-2-200002-22-220000-2-222-220000-2-222-220000000000000000-220000000000000000000022-2-20000
χ332-2-2222-2-2-222-2-22-2-2-222200000000-22-222-2-20000-22-22222-2-200002-222-2-200002-20000000000000000-22000000000000000022-2-200000000
χ342-2-2222-2-2-222-2-22-2-2-222200000000-22-222-2-20000-22-22222-2-20000-2222-2-20000-2200000000000000002-20000000000000000-2-22200000000
χ352-2-2222-2-2-222-2-22-2-2-222200000000-22-222-2-20000-22-222-2-22200002-2-2-22200002-20000000000000000-220000000000000000-2-22200000000
χ362-2-2222-2-2-222-2-22-2-2-222200000000-22-222-2-20000-22-222-2-2220000-22-2-2220000-2200000000000000002-2000000000000000022-2-200000000
χ372-2-22-2-222-2-2-22222-2-222-222-2-222-2-20000-22-222-2-200002000000002-200000000-22000000002-20000000022−2−222−2−222−2−222−2−2000000000000
χ382-2-22-2-222-2-2-22222-2-222-222-2-222-2-20000-22-222-2-200002000000002-200000000-22000000002-200000000−2−222−2−222−2−222−2−222000000000000
χ392-2-22-2-222-2-2-22222-2-222-222-2-222-2-20000-22-222-2-20000200000000-22000000002-200000000-220000000022−2−222−2−2−2−222−2−222000000000000
χ402-2-22-2-222-2-2-22222-2-222-222-2-222-2-20000-22-222-2-20000200000000-22000000002-200000000-2200000000−2−222−2−22222−2−222−2−2000000000000
χ412-2-22-2-222-2-2-22222-2-222-2-2-222-2-2220000-22-2-2-22200002000000002-200000000-2200000000-220000000022−2−2−2−22222−2−2−2−222000000000000
χ422-2-22-2-222-2-2-22222-2-222-2-2-222-2-2220000-22-2-2-22200002000000002-200000000-2200000000-2200000000−2−22222−2−2−2−22222−2−2000000000000
χ432-2-22-2-222-2-2-22222-2-222-2-2-222-2-2220000-22-2-2-2220000200000000-22000000002-2000000002-20000000022−2−2−2−222−2−22222−2−2000000000000
χ442-2-22-2-222-2-2-22222-2-222-2-2-222-2-2220000-22-2-2-2220000200000000-22000000002-2000000002-200000000−2−22222−2−222−2−2−2−222000000000000
χ45444444444-4-4-4-444-4-4-4-440000000000000004-44-4000000000000000000000000000000000000000000000000000000000002-22-22-22-20000
χ46444444444-4-4-4-444-4-4-4-440000000000000004-44-400000000000000000000000000000000000000000000000000000000000-22-22-22-220000
χ47444444444-4-4-4-444-4-4-4-44000000000000000-44-44000000000000000000000000000000000000000000000000000000000002-22-2-22-220000
χ48444444444-4-4-4-444-4-4-4-44000000000000000-44-4400000000000000000000000000000000000000000000000000000000000-22-222-22-20000
χ4944444444-44-44-4-4-44-44-4-4000000000000000000000000000000000000000000004-40000000000000000000000002-22-22-22-2000000000000
χ5044444444-44-44-4-4-44-44-4-4000000000000000000000000000000000000000000004-4000000000000000000000000-22-22-22-22000000000000
χ5144444444-44-44-4-4-44-44-4-400000000000000000000000000000000000000000000-440000000000000000000000002-22-2-22-22000000000000
χ5244444444-44-44-4-4-44-44-4-400000000000000000000000000000000000000000000-44000000000000000000000000-22-222-22-2000000000000
χ5344444444-4-44-44-4-4-44-44-400000000000000000000000000000000000000000000004-4000000000000002-22-22-22-200000000000000000000
χ5444444444-4-44-44-4-4-44-44-400000000000000000000000000000000000000000000004-400000000000000-22-22-22-2200000000000000000000
χ5544444444-4-44-44-4-4-44-44-40000000000000000000000000000000000000000000000-44000000000000002-22-2-22-2200000000000000000000
χ5644444444-4-44-44-4-4-44-44-40000000000000000000000000000000000000000000000-4400000000000000-22-222-22-200000000000000000000
χ574444-4-4-4-4444444-4-4-4-4-4-44444-4-4-4-400000000000000002222222200-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ584444-4-4-4-4444444-4-4-4-4-4-44444-4-4-4-40000000000000000-2-2-2-2-2-2-2-20022222222000000000000000000000000000000000000000000000000
χ594444-4-4-4-4444444-4-4-4-4-4-4-4-4-4-4444400000000000000002222-2-2-2-200-2-2-2-22222000000000000000000000000000000000000000000000000
χ604444-4-4-4-4444444-4-4-4-4-4-4-4-4-4-444440000000000000000-2-2-2-22222002222-2-2-2-2000000000000000000000000000000000000000000000000
χ614444-4-4-4-44-4-4-4-44-44444-400000000000044-400000000-40000000000000000000000000000004i−4i0000000000000000000000000000000000
χ624444-4-4-4-44-4-4-4-44-44444-400000000000044-400000000-4000000000000000000000000000000−4i4i0000000000000000000000000000000000
χ634444-4-4-4-44-4-4-4-44-44444-4000000000000-4-44000000004000000004400000000-4-40000000000000000000000000000000000000000000000
χ644444-4-4-4-44-4-4-4-44-44444-4000000000000-4-4400000000400000000-4-400000000440000000000000000000000000000000000000000000000
χ654444-4-4-4-4-44-44-4-44-44-4440000000044000000000-4-400000000000000000000000000000000000004i−4i000000000000000000000000000000
χ664444-4-4-4-4-44-44-4-44-44-4440000000044000000000-4-40000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ674444-4-4-4-4-44-44-4-44-44-44400000000-4-400000000044000000000000000000000000000040-400000000000000000000000000000000000000
χ684444-4-4-4-4-44-44-4-44-44-44400000000-4-4000000000440000000000000000000000000000-40400000000000000000000000000000000000000
χ694444-4-4-4-4-4-44-44-444-44-44000000000044000000000-4-40000000000000000000000000000000004i−4i00000000000000000000000000000000
χ704444-4-4-4-4-4-44-44-444-44-44000000000044000000000-4-4000000000000000000000000000000000−4i4i00000000000000000000000000000000
χ714444-4-4-4-4-4-44-44-444-44-440000000000-4-400000000044000000000000000000000000040-4000000000000000000000000000000000000000
χ724444-4-4-4-4-4-44-44-444-44-440000000000-4-4000000000440000000000000000000000000-404000000000000000000000000000000000000000
χ734-4-4444-4-4-444-4-44-4-4-4444000000004-4-44-44400004-4-44-4000000000000000000000000000000000000000000000000000000000000000000
χ744-4-4444-4-4-444-4-44-4-4-444400000000-444-4-4440000-444-4-4000000000000000000000000000000000000000000000000000000000000000000
χ754-4-4444-4-4-4-4-4444-444-4-4444-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-220000
χ764-4-4444-4-4-4-4-4444-444-4-4444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000-222-2-222-20000
χ774-4-4444-4-4-4-4-4444-444-4-44-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000002-2-22-222-20000
χ784-4-4444-4-4-4-4-4444-444-4-44-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000-222-22-2-220000
χ794-4-44-4-44444-4-44-4-44-4-444000000004-4000000000-440000000000000000000000000000000000000000022−22−2222000000000000000000000000
χ804-4-44-4-44444-4-44-4-44-4-444000000004-4000000000-4400000000000000000000000000000000000000000−222222−22000000000000000000000000
χ814-4-44-4-44444-4-44-4-44-4-44400000000-440000000004-400000000000000000000000000000000000000000000022−22−222200000000000000000000
χ824-4-44-4-44444-4-44-4-44-4-44400000000-440000000004-4000000000000000000000000000000000000000000000−222222−2200000000000000000000
χ834-4-44-4-4444-444-4-4-4-444-4400000000004-4000000000-440000000000000000000000000000000000000000000000022−22−22220000000000000000
χ844-4-44-4-4444-444-4-4-4-444-4400000000004-4000000000-4400000000000000000000000000000000000000000000000−222222−220000000000000000
χ854-4-44-4-4444-444-4-4-4-444-440000000000-440000000004-400000000000000000000000000000000000000000000000000022−22−2222000000000000
χ864-4-44-4-4444-444-4-4-4-444-440000000000-440000000004-4000000000000000000000000000000000000000000000000000−222222−22000000000000
χ874-4-44-4-444-444-4-44444-4-4-40000000000000004-4-440000022-2-222-2-200-2-222-2-222000000000000000000000000000000000000000000000000
χ884-4-44-4-444-444-4-44444-4-4-40000000000000004-4-4400000-2-222-2-2220022-2-222-2-2000000000000000000000000000000000000000000000000
χ894-4-44-4-444-444-4-44444-4-4-4000000000000000-444-40000022-2-2-2-22200-2-22222-2-2000000000000000000000000000000000000000000000000
χ904-4-44-4-444-444-4-44444-4-4-4000000000000000-444-400000-2-22222-2-20022-2-2-2-222000000000000000000000000000000000000000000000000
χ914-4-44-4-444-4-4-44444-4-444-444-4-444-4-400004-44-4-4440000-4000000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-444-4-4-44444-4-444-4-4-444-4-44400004-4444-4-40000-4000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88i−8i8i−8i0000000000004-44-44i−4i4i−4i00000000000000002-22-22-22-2002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9488-8-88i−8i8i−8i0000000000004-44-44i−4i4i−4i0000000000000000-22-22-22-2200−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ9588-8-88i−8i8i−8i000000000000-44-44−4i4i−4i4i00000000000000002-22-2-22-22002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ9688-8-88i−8i8i−8i000000000000-44-44−4i4i−4i4i0000000000000000-22-222-22-200−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9788-8-8−8i8i−8i8i0000000000004-44-4−4i4i−4i4i00000000000000002-22-22-22-200−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ9888-8-8−8i8i−8i8i0000000000004-44-4−4i4i−4i4i0000000000000000-22-22-22-22002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ9988-8-8−8i8i−8i8i000000000000-44-444i−4i4i−4i00000000000000002-22-2-22-2200−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ10088-8-8−8i8i−8i8i000000000000-44-444i−4i4i−4i0000000000000000-22-222-22-2002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1018-88-88i−8i−8i8i0000000000004-4-44−4i4i4i−4i00000000000000002-2-222-2-22002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1028-88-88i−8i−8i8i0000000000004-4-44−4i4i4i−4i0000000000000000-222-2-222-200−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1038-88-88i−8i−8i8i000000000000-444-44i−4i−4i4i00000000000000002-2-22-222-2002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1048-88-88i−8i−8i8i000000000000-444-44i−4i−4i4i0000000000000000-222-22-2-2200−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1058-88-8−8i8i8i−8i0000000000004-4-444i−4i−4i4i00000000000000002-2-222-2-2200−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1068-88-8−8i8i8i−8i0000000000004-4-444i−4i−4i4i0000000000000000-222-2-222-2002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1078-88-8−8i8i8i−8i000000000000-444-4−4i4i4i−4i00000000000000002-2-22-222-200−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ1088-88-8−8i8i8i−8i000000000000-444-4−4i4i4i−4i0000000000000000-222-22-2-22002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1098-8-8888-8-888-8-88-88-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8888-8-88-888-8-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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