Finite Group Databasebeta

← Group #72238669

Character table — Group #72238669

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222244444444444444444444448888888888888888881616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464
order12222222224444222222222222224444444422222224444444444422224444444444444444444444442444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ6111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ7111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ91111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-111-1-111-1-111-1-111-1-1111-11-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-111-1-111-1-111-1-111-1-1111-11-11-11-11-1-1-111-1-111-1-111-1-111-11-11-11-11
χ191111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-11-111-1-11-1111-1-111-1-111-1-111-1-1-11-11-11-11
χ201111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-11-111-1-11-11-1-111-1-111-1-111-1-1111-11-11-11-1
χ211111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11-1-1-11111-1-111-1-1-1-111-1-11-1-11-111-1-11ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11-1-1-11111-1-111-1-1-1-111-1-11-1-11-111-1-11−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111111-111-1-111-1-1-1-11111-1-1-1-1-111-1-11-111-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111111-111-1-111-1-1-1-11111-1-1-1-1-111-1-11-111-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111111-111-1-1-1-11-111-1-1-1-111-1-111-1-11111-11-11-111-11-111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111111-111-1-1-1-11-111-1-1-1-111-1-111-1-11111-11-11-111-11-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ271111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111111-1-1-1-1-1111-1-1-111-1-11111-1-111-1-1111-11-1-11-11-1111-1-1-1-11111-1-1-1-111-111-1-111-1
χ281111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111111-1-1-1-1-1111-1-1-111-1-11111-1-111-1-1111-11-1-11-11-11-1-11111-1-1-1-11111-1-11-1-111-1-11
χ291111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1111111-1-1-1-11-11111-1-11-1-1-111-1-111-1-11111-1-1-1-1-111-11-11-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1111111-1-1-1-11-11111-1-11-1-1-111-1-111-1-11111-1-1-1-1-111-11-11-1-11−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1111111-1-1-1-11-1-1-111111-111-1-1-1-11111-1-1-1-111-1-11-1-111-1-111-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1111111-1-1-1-11-1-1-111111-111-1-1-1-11111-1-1-1-111-1-11-1-111-1-111-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222222222222222222222222222222-2-200-2-200-2-20000-2-2-2-200000000-2-20000-2-20000000000000000000000000000
χ34222222222222222222222222-2-2-2-22222-2-2-2-22-2-2-2-2-2-222222-2-2-2-2-2-2-2-2002200-2-20000-2-2-2-200000000220000220000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-22-2-2-2-222-2-2-2-2-2-200-2-200-2-20000222200000000-2-20000220000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22-2-222222-2-2-2-2-2-22222-2-2002200-2-20000222200000000220000-2-20000000000000000000000000000
χ3722222222222222-2-20000000022-2-222-2-222-2-2-22-20000-200002-200002-2222-222-22-2-2-2-2000000000000-22000000-2-222000000000000000000000000
χ3822222222222222-2-20000000022-2-222-2-222-2-2-22-20000-200002-200002-2-2-22-2-2-2-222222000000000000-2200000022-2-2000000000000000000000000
χ3922222222222222-2-20000000022-2-222-2-222-2-2-22-20000-200002-20000-2200-22002-2000000002222-2-2-2-22-2-2-222000000000000000000000000000000
χ4022222222222222-2-20000000022-2-222-2-222-2-2-22-20000-200002-20000-2200-22002-200000000-2-2-2-222222-222-2-2000000000000000000000000000000
χ4122222222222222-2-200000000-2-22222-2-2-2-222-2-220000-20000-2200002-222-2222-2222220000000000002-2000000-2-2-2-2000000000000000000000000
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χ452222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22002200-220000-2-22200000000-2-20000-220000000000000000000000000000
χ462222222222-2-2-2-22222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2222222-2200-2-200-220000-2-222000000002200002-20000000000000000000000000000
χ472222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-2-22222-2-22222-22002200-22000022-2-200000000-2-200002-20000000000000000000000000000
χ482222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-22222-2222222-2-2-2-2-2200-2-200-22000022-2-200000000220000-220000000000000000000000000000
χ492222222222-2-2-2-2-2-20000000022-2-2-2-222-2-222-22-2000020000-2200002222-22-2-2-2-2-2-222000000000000-22000000-222-2000000000000000000000000
χ502222222222-2-2-2-2-2-20000000022-2-2-2-222-2-222-22-2000020000-22000022-2-2-2222-2-222-2-2000000000000-220000002-2-22000000000000000000000000
χ512222222222-2-2-2-2-2-20000000022-2-2-2-222-2-222-22-2000020000-220000-2-2002-200220000000022-2-2-2-2222-2-222-2000000000000000000000000000000
χ522222222222-2-2-2-2-2-20000000022-2-2-2-222-2-222-22-2000020000-220000-2-2002-2002200000000-2-22222-2-22-22-2-22000000000000000000000000000000
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χ552222222222-2-2-2-2-2-200000000-2-222-2-22222-2-2-2-220000200002-20000-2-200-2200220000000022-2-222-2-2-22-22-22000000000000000000000000000000
χ562222222222-2-2-2-2-2-200000000-2-222-2-22222-2-2-2-220000200002-20000-2-200-22002200000000-2-222-2-222-222-22-2000000000000000000000000000000
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χ9144-4-404-4000−4i4i−4i4i0022-2-222-2-200-440000004i−4i000-2-2220−2i2i−2i2i002i2i−2i−2i002-200−2i2i00-222i−2i00002-2−2i2i-222i−2i000000000000000000000000000000000000
χ9244-4-404-4000−4i4i−4i4i0022-2-222-2-200-440000004i−4i000-2-2220−2i2i−2i2i002i2i−2i−2i00-22002i−2i002-2−2i2i0000-222i−2i2-2−2i2i000000000000000000000000000000000000
χ9344-4-404-4000−4i4i−4i4i00-2-222-2-222004-4000000−4i4i000-2-22202i−2i2i−2i002i2i−2i−2i002-200−2i2i002-2−2i2i0000-222i−2i-222i−2i000000000000000000000000000000000000
χ9444-4-404-4000−4i4i−4i4i00-2-222-2-222004-4000000−4i4i000-2-22202i−2i2i−2i002i2i−2i−2i00-22002i−2i00-222i−2i00002-2−2i2i2-2−2i2i000000000000000000000000000000000000
χ9544-4-404-4000−4i4i−4i4i00-2-222-2-22200-440000004i−4i00022-2-202i−2i2i−2i00−2i−2i2i2i002-200−2i2i00-222i−2i0000-222i−2i2-2−2i2i000000000000000000000000000000000000
χ9644-4-404-4000−4i4i−4i4i00-2-222-2-22200-440000004i−4i00022-2-202i−2i2i−2i00−2i−2i2i2i00-22002i−2i002-2−2i2i00002-2−2i2i-222i−2i000000000000000000000000000000000000
χ9788-8-80-880008i−8i−8i8i0044-4-4-4-444000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-80-880008i−8i−8i8i00-4-44444-4-400000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-80-88000−8i8i8i−8i0044-4-4-4-44400000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-80-88000−8i8i8i−8i00-4-44444-4-4000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8800-8000000004-44-44-44-4000000008i−8i00000000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ1028-88-8800-8000000004-44-44-44-400000000−8i8i0000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1038-88-8800-800000000-44-44-44-44000000008i−8i0000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1048-88-8800-800000000-44-44-44-4400000000−8i8i00000000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-8008000000004-44-4-44-448-800000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8008000000004-44-4-44-44-880000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-800800000000-44-444-44-48-80000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-800800000000-44-444-44-4-8800000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8800008-8000000000000000000008-800000004-4-4400000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ1108-8-8800008-8000000000000000000008-80000000-444-40000000-444-400000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800008-800000000000000000000-8800000004-4-440000000-444-400000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800008-800000000000000000000-880000000-444-400000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ1138-8-880000-8800008-800008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-880000-8800008-80000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-880000-880000-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-880000-880000-88-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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