Finite Group Databasebeta

← Group #72285729

Character table — Group #72285729

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222244444444444444888888888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222224444444444442222222222222222444444444422222222224444444444444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ61111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ71111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−iiiii
χ81111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiii−i−i−i−i
χ91111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ121111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iii
χ141111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i
χ151111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iiiii−i−i
χ161111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i−i−iii
χ1711111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-11-11-11
χ1911111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11
χ2011111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111i−ii−i−ii−ii
χ2211111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−ii−iii−ii−i
χ2311111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1−ii−iii−ii−i
χ2411111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1i−ii−i−ii−ii
χ2511111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1
χ2711111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-111-1
χ2811111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2911111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1i−i−ii−iii−i
χ3011111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−iii−ii−i−ii
χ3111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−iii−ii−i−ii
χ3211111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111i−i−ii−iii−i
χ332222222222222222222222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2220000220000-2-2-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-2-2-20000-2-200002222220000000000000000000000000000000000000000
χ352222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222220000-2-20000-2-222220000000000000000000000000000000000000000
χ362222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2000022000022-2-2-2-20000000000000000000000000000000000000000
χ3722222222-2-2-2-222-2-222-2-2-2-2222222-2-2-2-2222222-2-22222-2-22222-2-2-2-2-2-222-2-20000-2-2000022-2-2220000000000000000000000000000000000000000
χ3822222222-2-2-2-222-2-222-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222220000220000-2-222-2-20000000000000000000000000000000000000000
χ3922222222-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-222-2-2-2-200002200002222-2-20000000000000000000000000000000000000000
χ4022222222-2-2-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222-2-2-2-2222222222222-2-2220000-2-20000-2-2-2-2220000000000000000000000000000000000000000
χ4122222-2-2-222-2-22-22-22-222-2-200002-222-2-222-2-2000022-2-200000022-2-200002-200000000002-200000000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ4222222-2-2-222-2-22-22-22-222-2-200002-222-2-222-2-2000022-2-200000022-2-200002-200000000002-20000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ4322222-2-2-222-2-22-22-22-222-2-200002-222-2-222-2-20000-2-222000000-2-2220000-220000000000-2200000000000000002-22-20000-22-220000000000000000
χ4422222-2-2-222-2-22-22-22-222-2-200002-222-2-222-2-20000-2-222000000-2-2220000-220000000000-220000000000000000-22-2200002-22-20000000000000000
χ4522222-2-2-222-2-22-22-22-222-2-200002-2-2-222-2-222000022-2-2000000-2-22200002-20000000000-220000000000002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ4622222-2-2-222-2-22-22-22-222-2-200002-2-2-222-2-222000022-2-2000000-2-22200002-20000000000-22000000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ4722222-2-2-222-2-22-22-22-222-2-200002-2-2-222-2-2220000-2-22200000022-2-20000-2200000000002-20000000000002-22-20000-22-2200000000000000000000
χ4822222-2-2-222-2-22-22-22-222-2-200002-2-2-222-2-2220000-2-22200000022-2-20000-2200000000002-2000000000000-22-2200002-22-200000000000000000000
χ4922222-2-2-2-2-2222-2-222-2-2-22200002-222-2-2-2-222000022-2-200000022-2-20000-220000000000-2200000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ5022222-2-2-2-2-2222-2-222-2-2-22200002-222-2-2-2-222000022-2-200000022-2-20000-220000000000-220000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
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χ5222222-2-2-2-2-2222-2-222-2-2-22200002-222-2-2-2-2220000-2-222000000-2-22200002-200000000002-20000000000000000-222-200002-2-220000000000000000
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χ5422222-2-2-2-2-2222-2-222-2-2-22200002-2-2-22222-2-2000022-2-2000000-2-2220000-2200000000002-2000000000000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
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χ592-2-22-22-2-200002200-2-2000022-2-2222-22-200002-200-22-2200-2-222-22-222-20000002-200002-200-2200000022-2-2000000000000000000-2200-2200000000
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χ964-4-444-4-440000-440000-44-44-444-40000000000004-400000000000000000000-222-2002-2-220000002-2-22-222-200000000000000000000000000000000
χ974-4-44-44-4-40000440044000044-4-4-4-400004-44-4-440000000000000000004-40000000000000000000000000000000000000000000000000000000000
χ984-4-44-44-4-40000440044000044-4-4-4-40000-44-44-44000000000000000000-440000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-4-400004400440000-4-444-4-400004-44-44-4000000000000000000-440000000000000000000000000000000000000000000000000000000000
χ1004-4-44-44-4-400004400440000-4-444-4-40000-44-444-40000000000000000004-40000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-44400004-4004-400000000-4400004-4-4400000000004-4-440000000000000000000000004-40000000000000000000000000000000000000000
χ1024-4-44-4-44400004-4004-400000000-4400004-4-440000000000-444-4000000000000000000000000-440000000000000000000000000000000000000000
χ1034-4-44-4-44400004-4004-400000000-440000-444-400000000004-4-44000000000000000000000000-440000000000000000000000000000000000000000
χ1044-4-44-4-44400004-4004-400000000-440000-444-40000000000-444-40000000000000000000000004-40000000000000000000000000000000000000000
χ1054-4-44-4-44400004-400-44000000004-44-4-44000000004-4-440000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-4-44400004-400-44000000004-44-4-4400000000-444-4000000-444-400000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-4-44400004-400-44000000004-4-444-4000000004-4-44000000-444-400000000000000000000000000000000000000000000000000000000000000
χ1084-4-44-4-44400004-400-44000000004-4-444-400000000-444-40000004-4-4400000000000000000000000000000000000000000000000000000000000000
χ1098888-88-8888-8-8-8-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108888-88-88-8-888-8-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88888-80000-8-800008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88888-80000-8-80000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1131616-16-1600000016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141616-16-16000000-161600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-1616-16000016-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-1616-160000-16160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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