Finite Group Databasebeta

← Group #72339006

Character table — Group #72339006

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222224444444488888888888888161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222444422224444444444222222222222444444444444444444444444444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ9111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-111-1-111111-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ10111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-111-1-111111-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-11-1-1111111-11-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ12111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-11-1-1111111-11-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-111-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-111-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ171111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-111-1-11-1-1-11111-1-11-11-11-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-111-1-11-1-1-11111-1-11-11-11-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1
χ191111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-111-1-1-1111-1-111-1-1-11-11-1111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11
χ201111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-111-1-1-1111-1-111-1-1-11-11-1111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ211111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-1-1-1111-1-1-111-1-1111-11-11-1-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11
χ221111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-1-1-1111-1-1-111-1-1111-11-11-1-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11
χ231111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-1-1-111-1111-1-1-1-111-11-11-11-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1
χ241111-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-111-1-11-1-1-111-1111-1-1-1-111-11-11-11-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1
χ251111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-111-1-1111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ261111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-111-1-1111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ271111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-1111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1
χ281111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-1111-1-1-1-1111111-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ291111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-11-1-11111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1
χ301111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-11-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1
χ311111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-11-1-111-1-11111-1-111-1-1-111-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ321111-1-1-1-1111-1-111111-1-111-1-1-1-111-1-11111-1-1-11-1-111-1-11111-1-111-1-1-111-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
χ332222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2220000222222000022-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2220000-2-2-2-2-2-20000-2-222220000000000000000000000000000000000000000
χ35222222222222222222-2-2-2-22222222222-2-2-2-2-2-200002-222-2-200002-2-2-2220000000000000000000000000000000000000000
χ36222222222222222222-2-2-2-22222222222-2-2-2-2-2-20000-22-2-2220000-2222-2-20000000000000000000000000000000000000000
χ3722222222222222-2-2-2-2222222-2-22-2-2-22-22-22-2-2-2000000000000000000000000000000002-22-22-22-200000000000000000000
χ3822222222222222-2-2-2-2222222-2-22-2-2-22-22-22-2-2-200000000000000000000000000000000-22-22-22-2200000000000000000000
χ3922222222222222-2-2-2-22222-2-222-22-2-2-22-22-22-2-20000000000000000000000002-22-22-22-20000000000000000000000000000
χ4022222222222222-2-2-2-22222-2-222-22-2-2-22-22-22-2-2000000000000000000000000-22-22-22-220000000000000000000000000000
χ4122222222222222-2-2-2-2-2-2-2-222-2-22-2-2-22-2-22-22220000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ4222222222222222-2-2-2-2-2-2-2-222-2-22-2-2-22-2-22-2222000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ4322222222222222-2-2-2-2-2-2-2-2-2-222-22-2-2-222-22-222000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4422222222222222-2-2-2-2-2-2-2-2-2-222-22-2-2-222-22-22200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ452222-2-2-2-2222-2-22222222-2-2-2-2-2-222-2-222-2-2222-200002-2-2-22200002-2-22-220000000000000000000000000000000000000000
χ462222-2-2-2-2222-2-22222222-2-2-2-2-2-222-2-222-2-2222-20000-2222-2-20000-222-22-20000000000000000000000000000000000000000
χ472222-2-2-2-2222-2-222222-2-2222222-2-2-2-2-2-2-2-222-22000022-2-2-2-2000022-222-20000000000000000000000000000000000000000
χ482222-2-2-2-2222-2-222222-2-2222222-2-2-2-2-2-2-2-222-220000-2-222220000-2-22-2-220000000000000000000000000000000000000000
χ492222-2-2-2-2222-2-22-2-2-2-222-2-222-2-2-2222-222-2-22-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ502222-2-2-2-2222-2-22-2-2-2-222-2-222-2-2-2222-222-2-22-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ512222-2-2-2-2222-2-22-2-2-2-222-2-2-2-2222-2222-2-222-2-220000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ522222-2-2-2-2222-2-22-2-2-2-222-2-2-2-2222-2222-2-222-2-22000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ532222-2-2-2-2222-2-22-2-2-2-2-2-22222-2-2-2222-22-222-22-20000000000000000000000002-2-22-222-20000000000000000000000000000
χ542222-2-2-2-2222-2-22-2-2-2-2-2-22222-2-2-2222-22-222-22-2000000000000000000000000-222-22-2-220000000000000000000000000000
χ552222-2-2-2-2222-2-22-2-2-2-2-2-222-2-2222-2222-22-2-222-2000000000000000000000000000000002-2-22-222-200000000000000000000
χ562222-2-2-2-2222-2-22-2-2-2-2-2-222-2-2222-2222-22-2-222-200000000000000000000000000000000-222-22-2-2200000000000000000000
χ5744444444-4-4-4-4-4400004-44-400000000000000002222000000-2-2-2-20000002-22-2000000000000000000000000000000000000
χ5844444444-4-4-4-4-4400004-44-40000000000000000-2-2-2-20000002222000000-22-22000000000000000000000000000000000000
χ5944444444-4-4-4-4-440000-44-4400000000000000002222000000-2-2-2-2000000-22-22000000000000000000000000000000000000
χ6044444444-4-4-4-4-440000-44-440000000000000000-2-2-2-200000022220000002-22-2000000000000000000000000000000000000
χ61444444-4-444-44-4-444-4-400000000004-400000000000004004-400000-400000000000000000000000000000000000000000000
χ62444444-4-444-44-4-444-4-400000000004-40000000000000-400-4400000400000000000000000000000000000000000000000000
χ63444444-4-444-44-4-4-4-4440000000000-44000000000000404-4000000-4000000000000000000000000000000000000000000000
χ64444444-4-444-44-4-4-4-4440000000000-44000000000000-40-440000004000000000000000000000000000000000000000000000
χ654444-4-44444-4-44-444-4-40000000000-440000000000000400-4400000-400000000000000000000000000000000000000000000
χ664444-4-44444-4-44-444-4-40000000000-440000000000000-4004-400000400000000000000000000000000000000000000000000
χ674444-4-44444-4-44-4-4-44400000000004-400000000000040-44000000-4000000000000000000000000000000000000000000000
χ684444-4-44444-4-44-4-4-44400000000004-4000000000000-404-40000004000000000000000000000000000000000000000000000
χ694444-4-4-4-4-4-4-444400004-4-44000000000000000022-2-2000000-2-2220000002-2-22000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-444400004-4-440000000000000000-2-22200000022-2-2000000-222-2000000000000000000000000000000000000
χ714444-4-4-4-4-4-4-44440000-444-4000000000000000022-2-2000000-2-222000000-222-2000000000000000000000000000000000000
χ724444-4-4-4-4-4-4-44440000-444-40000000000000000-2-22200000022-2-20000002-2-22000000000000000000000000000000000000
χ73888888-8-8-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ748888-8-888-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8008-800000000000000004-404000-400000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ7688-8-8008-800000000000000004-404000-40000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ7788-8-8008-80000000000000000-440-4000400000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ7888-8-8008-80000000000000000-440-400040000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ7988-8-800-8800000000000000004-40-4000400000000000000000000000000000000000000000000002-2-222-2-22000000000000
χ8088-8-800-8800000000000000004-40-400040000000000000000000000000000000000000000000000-222-2-222-2000000000000
χ8188-8-800-880000000000000000-4404000-400000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ8288-8-800-880000000000000000-4404000-40000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ838-88-88-800000000000000004-4004000-400000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ848-88-88-800000000000000004-4004000-40000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ858-88-88-80000000000000000-4400-4000400000000000000000000000000000000000000000000000000000002-22-2-22-220000
χ868-88-88-80000000000000000-4400-400040000000000000000000000000000000000000000000000000000000-22-222-22-20000
χ878-88-8-8800000000000000004-400-4000400000000000000000000000000000000000000000000000000000002-2-222-2-220000
χ888-88-8-8800000000000000004-400-400040000000000000000000000000000000000000000000000000000000-222-2-222-20000
χ898-88-8-880000000000000000-44004000-400000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000
χ908-88-8-880000000000000000-44004000-40000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000
χ918-8-8800008-80000008-800000000000000000000004-4000000004-40000000000000000000000000000000000000000000000
χ928-8-8800008-80000008-80000000000000000000000-4400000000-440000000000000000000000000000000000000000000000
χ938-8-8800008-8000000-88000000000000000000004-4000000004-4000000000000000000000000000000000000000000000000
χ948-8-8800008-8000000-8800000000000000000000-4400000000-44000000000000000000000000000000000000000000000000
χ958-8-880000-8800008-80000000000000000000000004-400000000-440000000000000000000000000000000000000000000000
χ968-8-880000-8800008-8000000000000000000000000-44000000004-40000000000000000000000000000000000000000000000
χ978-8-880000-880000-8800000000000000000000004-400000000-44000000000000000000000000000000000000000000000000
χ988-8-880000-880000-880000000000000000000000-44000000004-4000000000000000000000000000000000000000000000000

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