Finite Group Databasebeta

← Group #72255782

Character table — Group #72255782

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222222224444444444444444444444888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222222222222222224444444444442222222222224444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1711111-1-111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11-11-1i−ii−ii−ii−i
χ1811111-1-111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-11-11−ii−ii−ii−ii
χ1911111-1-111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11-11-1−ii−ii−ii−ii
χ2011111-1-111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-11-11i−ii−ii−ii−i
χ2111111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-11-11i−ii−i−ii−ii
χ2211111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111-11-1−ii−iii−ii−i
χ2311111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-11-11−ii−iii−ii−i
χ2411111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111-11-1i−ii−i−ii−ii
χ2511111-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-11i−i−iii−i−ii
χ2611111-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-111-1−iii−i−iii−i
χ2711111-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-11−iii−i−iii−i
χ2811111-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-111-1-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-111-1i−i−iii−i−ii
χ2911111-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11-111-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-111-1i−i−ii−iii−i
χ3011111-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11-111-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11-1-11−iii−ii−i−ii
χ3111111-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11-111-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-111-1−iii−ii−i−ii
χ3211111-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11-111-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11-1-11i−i−ii−iii−i
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χ5622222-2-2-2-2-2-22-2-2-2-2222222-2-2-2-222000000002-2-22000000002-20000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ572222-22222-2-2-2-2-22-22-22-22-22-20000000022-2-2000000002-22-20000-22000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
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χ9444-4-44-440000-4-4400000000004-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ9544-4-44-440000-4-440000000000-444-400000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ9644-4-44-440000-4-440000000000-444-40000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ9788-8-8-88-800008-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-88000088-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8000008-800000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8000008-80000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800000-88000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800000-8800000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-880008-800000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-880008-80000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88000-88000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88000-8800000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000

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