Finite Group Databasebeta

← Group #72310517

Character table — Group #72310517

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222244444444888888888888888888888816161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222222222222222222222222244442244444444244444444444444444444444444444444444444444444444
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
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ51111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ81111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ911111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11111-1-11-1111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11111-1-11-1111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11111-1-11-1-1-1-1-111-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11111-1-11-1-1-1-1-111-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111111-1-1-111111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111111-1-1-111111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111111-1-1-11-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111111-1-1-11-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ171111-1-1-1-1111-1-111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1111-1-11-11-11-1-111-11-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111-1-1-1-1111-1-111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1111-1-11-11-11-1-111-11-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1
χ191111-1-1-1-1111-1-111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1111-1-11-11-1-111-11-11-1-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11
χ201111-1-1-1-1111-1-111111-1-1111111-1-111-1-1-1-1-1-1-1-111-1111-1-11-11-1-111-11-11-1-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11
χ211111-1-1-1-1111-1-111111-1-1111111-1-1-1-111-1-1-1-111-1-11-111-1-11-1-111-1-11-11-1111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11
χ221111-1-1-1-1111-1-111111-1-1111111-1-1-1-111-1-1-1-111-1-11-111-1-11-1-111-1-11-11-1111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ231111-1-1-1-1111-1-111111-1-1111111-1-1-1-111-1-1-1-111-1-11-111-1-11-1-11-111-1-11-11-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1
χ241111-1-1-1-1111-1-111111-1-1111111-1-1-1-111-1-1-1-111-1-11-111-1-11-1-11-111-1-11-11-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1
χ251111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ261111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11111-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ271111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1111-111-11-1-1111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1
χ281111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1111-111-11-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1
χ291111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-11-1-11-1-11-111-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1
χ301111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-11-1-11-1-11-111-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ311111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-11-1-1-111-1-111-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ321111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-11-1-1-111-1-111-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11
χ33222222222222222222222222-2-22222-2-222-2-222-2-22-2-2-2-2-2-2-22-20000-2-2220000000000000000000000000000000000000000
χ34222222222222222222222222-2-222-2-22222-2-2-2-222-22-2-2-2-2-2-2-22000022-2-20000000000000000000000000000000000000000
χ3522222222222222222222-2-2-2-222-2-22222-2-222222222-2-2-2-222220000-2-2-2-20000000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222-2-2000022220000000000000000000000000000000000000000
χ372222222222222-2-2-2-22-2-222-2-2222-200002-2220000002-22-2-2-20000000000000000000000000000002-22-22-22-2000000000000
χ382222222222222-2-2-2-22-2-222-2-2222-200002-2220000002-22-2-2-2000000000000000000000000000000-22-22-22-22000000000000
χ392222222222222-2-2-2-22-2-222-2-2-2-22-200002-2-2-2000000-22-2222000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ402222222222222-2-2-2-22-2-222-2-2-2-22-200002-2-2-2000000-22-222200000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ412222222222222-2-2-2-22-2-2-2-22222-220000-2222000000-22-22-2-2000000000000000000000000000000000000002-22-2-22-220000
χ422222222222222-2-2-2-22-2-2-2-22222-220000-2222000000-22-22-2-200000000000000000000000000000000000000-22-222-22-20000
χ432222222222222-2-2-2-22-2-2-2-222-2-2-220000-22-2-20000002-22-2220000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ442222222222222-2-2-2-22-2-2-2-222-2-2-220000-22-2-20000002-22-222000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ452222-2-2-2-2222-2-222222-2-22222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222-22220000-222-20000000000000000000000000000000000000000
χ462222-2-2-2-2222-2-222222-2-22222-2-2-2-2-2-2-2-2-2-222222222-2-222-22-2-200002-2-220000000000000000000000000000000000000000
χ472222-2-2-2-2222-2-222222-2-2-2-2-2-2222222-2-222-2-2-2-222-22-2-2222-22-20000-22-220000000000000000000000000000000000000000
χ482222-2-2-2-2222-2-222222-2-2-2-2-2-22222-2-22222-2-222-2-22-2-2-2222-2-2200002-22-20000000000000000000000000000000000000000
χ492222-2-2-2-2222-2-2-2-2-2-222222-2-222-220000-22-2-20000002-2-22-220000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ502222-2-2-2-2222-2-2-2-2-2-222222-2-222-220000-22-2-20000002-2-22-22000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ512222-2-2-2-2222-2-2-2-2-2-222222-2-2-2-2-220000-2222000000-222-22-2000000000000000000000000000000000000002-2-222-2-220000
χ522222-2-2-2-2222-2-2-2-2-2-222222-2-2-2-2-220000-2222000000-222-22-200000000000000000000000000000000000000-222-2-222-20000
χ532222-2-2-2-2222-2-2-2-2-2-2222-2-222222-200002-2-2-2000000-222-2-22000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000
χ542222-2-2-2-2222-2-2-2-2-2-2222-2-222222-200002-2-2-2000000-222-2-2200000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000
χ552222-2-2-2-2222-2-2-2-2-2-2222-2-222-2-22-200002-2220000002-2-222-20000000000000000000000000000002-2-22-222-2000000000000
χ562222-2-2-2-2222-2-2-2-2-2-2222-2-222-2-22-200002-2220000002-2-222-2000000000000000000000000000000-222-22-2-22000000000000
χ574444444444-4-4-444-4-4-44-4000000000044000000-4-4040000000-4000000000000000000000000000000000000000000000000
χ584444444444-4-4-444-4-4-44-40000000000-4-4000000440-400000004000000000000000000000000000000000000000000000000
χ594444444444-4-4-4-4-444-4-440000000044000000-4-40040000000-40000000000000000000000000000000000000000000000000
χ604444444444-4-4-4-4-444-4-4400000000-4-40000004400-4000000040000000000000000000000000000000000000000000000000
χ61444444-4-4-4-4-44-4000040000004-4000000004-40000000000000022-2-200002-22-2000000000000000000000000000000000000
χ62444444-4-4-4-4-44-4000040000004-4000000004-400000000000000-2-2220000-22-22000000000000000000000000000000000000
χ63444444-4-4-4-4-44-400004000000-4400000000-440000000000000022-2-20000-22-22000000000000000000000000000000000000
χ64444444-4-4-4-4-44-400004000000-4400000000-4400000000000000-2-22200002-22-2000000000000000000000000000000000000
χ654444-4-444-4-4-4-44000040000004-400000000-44000000000000002-22-200002-2-22000000000000000000000000000000000000
χ664444-4-444-4-4-4-44000040000004-400000000-4400000000000000-22-220000-222-2000000000000000000000000000000000000
χ674444-4-444-4-4-4-4400004000000-44000000004-4000000000000002-22-20000-222-2000000000000000000000000000000000000
χ684444-4-444-4-4-4-4400004000000-44000000004-400000000000000-22-2200002-2-22000000000000000000000000000000000000
χ694444-4-4-4-444-44444-4-4-4-44000000000044000000440-40000000-4000000000000000000000000000000000000000000000000
χ704444-4-4-4-444-44444-4-4-4-440000000000-4-4000000-4-40400000004000000000000000000000000000000000000000000000000
χ714444-4-4-4-444-444-4-444-44-400000000440000004400-40000000-40000000000000000000000000000000000000000000000000
χ724444-4-4-4-444-444-4-444-44-400000000-4-4000000-4-4004000000040000000000000000000000000000000000000000000000000
χ73888888-8-8-8-88-880000-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ748888-8-888-8-888-80000-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8008-8000000000000004-4000400000-40000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ7688-8-8008-8000000000000004-4000400000-4000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ7788-8-8008-800000000000000-44000-40000040000000000000000000000000000000000002-22-2-22-2200000000000000000000
χ7888-8-8008-800000000000000-44000-4000004000000000000000000000000000000000000-22-222-22-200000000000000000000
χ7988-8-800-88000000000000004-4000-40000040000000000000000000000000000000000002-2-222-2-2200000000000000000000
χ8088-8-800-88000000000000004-4000-4000004000000000000000000000000000000000000-222-2-222-200000000000000000000
χ8188-8-800-8800000000000000-44000400000-40000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ8288-8-800-8800000000000000-44000400000-4000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ838-88-88-8000000000000004-40000400000-4000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ848-88-88-8000000000000004-40000400000-400000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ858-88-88-800000000000000-440000-4000004000000000000000000000000000002-22-2-22-220000000000000000000000000000
χ868-88-88-800000000000000-440000-400000400000000000000000000000000000-22-222-22-20000000000000000000000000000
χ878-88-8-88000000000000004-40000-4000004000000000000000000000000000002-2-222-2-220000000000000000000000000000
χ888-88-8-88000000000000004-40000-400000400000000000000000000000000000-222-2-222-20000000000000000000000000000
χ898-88-8-8800000000000000-440000400000-4000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ908-88-8-8800000000000000-440000400000-400000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ918-8-8800008-8000008-800000000000000000008-8000000000000000000000000000000000000000000000000000000000000
χ928-8-8800008-8000008-80000000000000000000-88000000000000000000000000000000000000000000000000000000000000
χ938-8-8800008-800000-88000000000008-800000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800008-800000-8800000000000-8800000000000000000000000000000000000000000000000000000000000000000000
χ958-8-880000-880008-8000000000000000000000008-80000000000000000000000000000000000000000000000000000000000
χ968-8-880000-880008-800000000000000000000000-880000000000000000000000000000000000000000000000000000000000
χ978-8-880000-88000-880000000000000008-8000000000000000000000000000000000000000000000000000000000000000000
χ988-8-880000-88000-88000000000000000-88000000000000000000000000000000000000000000000000000000000000000000

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