Finite Group Databasebeta

← Group #72234066

Character table — Group #72234066

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222444444448888888888888888881616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222444422222244444444444422222244444444444444442244444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-1-1-1-11111111111-1-111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-11-111-11-111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i
χ10111111111111-1-1-1-1-1-11-1-1-1-1-11111111111-1-111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-11-111-11-111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ11111111111111-1-1-1-1-1-11-1-1-1-1-11111111111-1-111-1-1111-1-1-1-1-1-1-111111111-11-1111-1-11-1-11-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ12111111111111-1-1-1-1-1-11-1-1-1-1-11111111111-1-111-1-1111-1-1-1-1-1-1-111111111-11-1111-1-11-1-11-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ13111111111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1111111-1-1-1-1-1-11111-11-1-111-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii
χ14111111111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1111111-1-1-1-1-1-11111-11-1-111-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ15111111111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1111111-1-11-11-1-1-11-1111-11-11iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ16111111111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1111111-1-11-11-1-1-11-1111-11-11−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii
χ171111111111-1-1111111-111-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ181111111111-1-1111111-111-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-111-1-111-1-111-1-111-1-111-1-111-11-11
χ191111111111-1-1111111-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-11111111-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ201111111111-1-1111111-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-111111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1
χ211111111111-1-1111111-111-1-11111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1111-1-1-1-111-1-1-111-1-1111-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ221111111111-1-1111111-111-1-11111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1111-1-1-1-111-1-1-111-1-11-1-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ231111111111-1-1111111-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1-1-11-111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ241111111111-1-1111111-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1-1-11-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11
χ251111111111-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1111-1-111-1-1-1-111111-11-11-11-111-11-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ261111111111-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1111-1-111-1-1-1-111111-11-11-11-111-11-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ271111111111-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-111-111-111-1-11-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−iii−i
χ281111111111-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-111-111-111-1-11-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ291111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-1-11-11-11-1-11-11-11-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−iii−i
χ301111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-1-11-11-11-1-11-11-11-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiii−i−ii
χ311111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-111-1-11-1-11-11-11-1111-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ321111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-111-1-11-1-11-11-11-1111-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i
χ3322222222222222222222-222-222-2-2-2-22222-2-22-22-222-2-2002200000000002000-2-2-200000-2000000000000000000000000000000
χ3422222222222222222222-222-222-2-2-2-2-2-2-2-2-2-22-22-2-2-2-2-200-2-20000000000-2000222000002000000000000000000000000000000
χ3522222222222222-2-2-2-2222-2-22-2-222-2-20000-2-2-2-222002-22200-2-222-2-2-2-2000000000220000-200000000000000000000000000000
χ3622222222222222-2-2-2-2222-2-22-2-222-2-20000-2-2-2-222002-2-2-20022-2-22222000000000-2-20000200000000000000000000000000000
χ3722222222222222-2-2-2-222-2-2-2-2-2-2-2-222000022-222-200-220000000000002202-2-2000002-2-20020000000000000000000000000000
χ3822222222222222-2-2-2-222-2-2-2-2-2-2-2-222000022-222-200-22000000000000-2-20-22200000-22200-20000000000000000000000000000
χ39222222222222-2-222222-22222-2-2-2-2220000-2-2-22-2200-2-200000000000022022-200000-22-200-20000000000000000000000000000
χ40222222222222-2-222222-22222-2-2-2-2220000-2-2-22-2200-2-2000000000000-2-20-2-22000002-220020000000000000000000000000000
χ41222222222222-2-222222-2-222-2-2-222-2-2000022-2-2-2-200222200-2-2-2-222220000000002-20000-200000000000000000000000000000
χ42222222222222-2-222222-2-222-2-2-222-2-2000022-2-2-2-20022-2-2002222-2-2-2-2000000000-220000200000000000000000000000000000
χ43222222222222-2-2-2-2-2-22-22-2-2222-2-2-2-22222222-2-2222-2200-2-20000000000-2000-2-22000002000000000000000000000000000000
χ44222222222222-2-2-2-2-2-22-22-2-2222-2-2-2-2-2-2-2-2222-2-22-2-2-2200220000000000200022-200000-2000000000000000000000000000000
χ452222222222-2-2222222-22-2-2-2-222-2-2-2-22222-2-2-22-22-2-22200220000000000-2000-22200000-2000000000000000000000000000000
χ462222222222-2-2222222-22-2-2-2-222-2-2-2-2-2-2-2-2-2-2-22-22222200-2-2000000000020002-2-2000002000000000000000000000000000000
χ472222222222-2-222-2-2-2-2-222222-2-222-2-20000-2-222-2-200-222200-2-222-2-222000000000-2-20000200000000000000000000000000000
χ482222222222-2-222-2-2-2-2-222222-2-222-2-20000-2-222-2-200-22-2-20022-2-222-2-2000000000220000-200000000000000000000000000000
χ492222222222-2-222-2-2-2-2-22-222-2-2-2-2-2220000222-2-22002-2000000000000220-22200000-2-2-20020000000000000000000000000000
χ502222222222-2-222-2-2-2-2-22-222-2-2-2-2-2220000222-2-22002-2000000000000-2-202-2-20000022200-20000000000000000000000000000
χ512222222222-2-2-2-22222-2-22-2-22-2-2-2-2220000-2-22-22-20022000000000000220-2-220000022-200-20000000000000000000000000000
χ522222222222-2-2-2-22222-2-22-2-22-2-2-2-2220000-2-22-22-20022000000000000-2-2022-200000-2-220020000000000000000000000000000
χ532222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2000022222200-2-22200-2-2-2-222-2-2000000000-220000200000000000000000000000000000
χ542222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2000022222200-2-2-2-2002222-2-2220000000002-20000-200000000000000000000000000000
χ552222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222-222-2-2-22-200-2-200000000002000-22-2000002000000000000000000000000000000
χ562222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-222-2222-200220000000000-20002-2200000-2000000000000000000000000000000
χ57222222-2-2-2-200222-22-20-2200-22-22-22-200002-2000000002i−2i002i−2i2i−2i2i−2i0000000000000000000002-2002-2002i−2i002i−2i000000000000
χ58222222-2-2-2-200222-22-20-2200-22-22-22-200002-2000000002i−2i002i−2i2i−2i2i−2i000000000000000000000-2200-2200−2i2i00−2i2i000000000000
χ59222222-2-2-2-200222-22-20-2200-22-22-22-200002-200000000−2i2i00−2i2i−2i2i−2i2i0000000000000000000002-2002-200−2i2i00−2i2i000000000000
χ60222222-2-2-2-200222-22-20-2200-22-22-22-200002-200000000−2i2i00−2i2i−2i2i−2i2i000000000000000000000-2200-22002i−2i002i−2i000000000000
χ61222222-2-2-2-20022-22-220-2200-2-222-2-220000-22000000002i−2i00−2i2i2i−2i−2i2i00000000000000000002-2002-2002i−2i002i−2i00000000000000
χ62222222-2-2-2-20022-22-220-2200-2-222-2-220000-22000000002i−2i00−2i2i2i−2i−2i2i0000000000000000000-2200-2200−2i2i00−2i2i00000000000000
χ63222222-2-2-2-20022-22-220-2200-2-222-2-220000-2200000000−2i2i002i−2i−2i2i2i−2i00000000000000000002-2002-200−2i2i00−2i2i00000000000000
χ64222222-2-2-2-20022-22-220-2200-2-222-2-220000-2200000000−2i2i002i−2i−2i2i2i−2i0000000000000000000-2200-22002i−2i002i−2i00000000000000
χ65222222-2-2-2-200-2-22-22-202-2002-222-2-2200002-2000000002i−2i00−2i2i−2i2i2i−2i00000000000000000002i−2i00−2i2i00-22002-200000000000000
χ66222222-2-2-2-200-2-22-22-202-2002-222-2-2200002-2000000002i−2i00−2i2i−2i2i2i−2i0000000000000000000−2i2i002i−2i002-200-2200000000000000
χ67222222-2-2-2-200-2-22-22-202-2002-222-2-2200002-200000000−2i2i002i−2i2i−2i−2i2i00000000000000000002i−2i00−2i2i002-200-2200000000000000
χ68222222-2-2-2-200-2-22-22-202-2002-222-2-2200002-200000000−2i2i002i−2i2i−2i−2i2i0000000000000000000−2i2i002i−2i00-22002-200000000000000
χ69222222-2-2-2-200-2-2-22-2202-20022-22-22-20000-22000000002i−2i002i−2i−2i2i−2i2i0000000000000000000002i−2i00−2i2i00-22002-2000000000000
χ70222222-2-2-2-200-2-2-22-2202-20022-22-22-20000-22000000002i−2i002i−2i−2i2i−2i2i000000000000000000000−2i2i002i−2i002-200-22000000000000
χ71222222-2-2-2-200-2-2-22-2202-20022-22-22-20000-2200000000−2i2i00−2i2i2i−2i2i−2i0000000000000000000002i−2i00−2i2i002-200-22000000000000
χ72222222-2-2-2-200-2-2-22-2202-20022-22-22-20000-2200000000−2i2i00−2i2i2i−2i2i−2i000000000000000000000−2i2i002i−2i00-22002-2000000000000
χ73444444-4-4-4-400444-44-40-4-40044-4-44-440000-4400000000000000000000000000000000000000000000000000000000000000000
χ74444444-4-4-4-40044-44-440-4-4004-44-444-400004-400000000000000000000000000000000000000000000000000000000000000000
χ75444444-4-4-4-400-4-44-44-404400-4-44-444-40000-4400000000000000000000000000000000000000000000000000000000000000000
χ76444444-4-4-4-400-4-4-44-4404400-44-4-44-4400004-400000000000000000000000000000000000000000000000000000000000000000
χ774444-4-44-44-4440044-4-4-4004-40000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ784444-4-44-44-4440044-4-4-4004-4000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ794444-4-44-44-44400-4-444-400-440000000000000000000000000000000000000000000000000000000000000000002-22-2-22-220000
χ804444-4-44-44-44400-4-444-400-44000000000000000000000000000000000000000000000000000000000000000000-22-222-22-20000
χ814444-4-44-44-4-4-40044-4-4400-440000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000
χ824444-4-44-44-4-4-40044-4-4400-44000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000
χ834444-4-44-44-4-4-400-4-4444004-40000000000000000000000000000000000000000000000000000000000000000002-2-22-222-20000
χ844444-4-44-44-4-4-400-4-4444004-4000000000000000000000000000000000000000000000000000000000000000000-222-22-2-220000
χ858888-8-8-88-8800008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868888-8-8-88-880000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000-8080000000000000000000044-4-4000000000000000000004-44-40000000000000000000000000000000000000000000
χ8888-8-8000-8080000000000000000000044-4-400000000000000000000-44-440000000000000000000000000000000000000000000
χ8988-8-8000-80800000000000000000000-4-444000000000000000000004-4-440000000000000000000000000000000000000000000
χ9088-8-8000-80800000000000000000000-4-44400000000000000000000-444-40000000000000000000000000000000000000000000
χ918-88-800-80808-80000000000000000004-44-40000004-400000000000000000000000000000000000000000000000000000000000
χ928-88-800-80808-8000000000000000000-44-44000000-4400000000000000000000000000000000000000000000000000000000000
χ938-88-800-8080-880000000000000000004-44-4000000-4400000000000000000000000000000000000000000000000000000000000
χ948-88-800-8080-88000000000000000000-44-440000004-400000000000000000000000000000000000000000000000000000000000
χ958-8-88-880000008-800000000000000004-4-440000000000004-400000000000000000000000000000000000000000000000000000
χ968-8-88-880000008-80000000000000000-444-4000000000000-4400000000000000000000000000000000000000000000000000000
χ978-8-88-88000000-8800000000000000004-4-44000000000000-4400000000000000000000000000000000000000000000000000000
χ988-8-88-88000000-880000000000000000-444-40000000000004-400000000000000000000000000000000000000000000000000000
χ991616-16-16000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10016-1616-1600160-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-16-161616-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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