Finite Group Databasebeta

← Group #72343025

Character table — Group #72343025

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222224444444444444444444888888888888888888888888888161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order122448822244444444488816161616224444444888888881616161616161616161622444444888161616161616161616162222244444443232323232323232323232323232323244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1111111111-1-1-1-111-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111-1-1111111111-1-1-1-111-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ7111111111111111-1-1111111111-1-1-1-111-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111-1-1111111111-1-1-1-111-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111111-1-1-1-11111-1-1111111-11-1-1-11-1-1111-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111-1-1-1-11111-1-1111111-11-1-1-11-1-1111-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111-1-1-1-11111-1-1111111-11-1-1-11-1-1111-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111111-1-1-1-11111-1-1111111-11-1-1-11-1-1111-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111111-1-1-1-1-1-111-1-111111-11-11-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111-1-1-1-1-1-111-1-111111-11-11-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111111-1-1-1-1-1-111-1-111111-11-11-1-1-111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111-1-1-1-1-1-111-1-111111-11-11-1-1-111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111-1-11111111-1-11111111-11-11-1-11-1-11-1-11-1-111111111-1-1-1-111111111-11-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111111-1-11111111-1-11111111-11-11-1-11-1-11-1-11-1-111111111-1-1-1-111111111-11-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111111-1-11111111-1-11111111-11-11-1-11-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011111111-1-11111111-1-11111111-11-11-1-11-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111111111-1-111111-1-1-1-111111111-11-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iiii−i−iii−i−ii
χ2211111111-1-111111-1-1-1-111111111-11-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1111111111-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−iii−i−iii−i
χ2311111111-1-111111-1-1-1-111111111-11-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1111111-1-1ii−i−iii−i−i−i−iii−i−iii−iii−i−iii−i
χ2411111111-1-111111-1-1-1-111111111-11-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1111111-1-1−i−iii−i−iiiii−i−iii−i−ii−i−iii−i−ii
χ2511111111-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iiii−ii−i−ii−ii
χ2611111111-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i−ii−iii−ii−i
χ2711111111-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1111111111111-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−ii−iii−ii−i
χ2811111111-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1111111111111-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−ii−ii−i−ii−ii
χ2911111111-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1111111-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1111111-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1-1-111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1-1-111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
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χ3622222222222-2-2-2-2-2-222-2-22-2-2-2-2-22-22-2-2-222222-2-2-2-2-2-2-22222-2-2-2-200000000-22222-2-22222-2-2000000000000000000000000000000000000
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χ3822222222-2-222222-2-2-2-2222-2-2-2-22-22-2-2-2-2222-2-22-2-2-2-2-2-2-2-2-2-22222000000002-22-2-2222222-2-2000000000000000000000000000000000000
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χ4022222222-2-22-2-2-2-2-2-2-2-2-2-22-2-2-2-2222222-2-2-22-2-2-222-2-2-2-2222222220000000022-2-2-2-2-2-2-22222000000000000000000000000000000000000
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χ10288-88-8-8-80000−8i8i0000008i−8i80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88000000008i−8i000000042−42−42420000000000000000000004i2−4i20000000000000000000000000000000000000000000000000000000000000
χ10488-8-88000000008i−8i0000000−424242−42000000000000000000000−4i24i20000000000000000000000000000000000000000000000000000000000000
χ10588-8-8800000000−8i8i000000042−42−4242000000000000000000000−4i24i20000000000000000000000000000000000000000000000000000000000000
χ10688-8-8800000000−8i8i0000000−424242−420000000000000000000004i2−4i20000000000000000000000000000000000000000000000000000000000000
χ10716-1600082−82000000008-800000000000000000000000042−420000000000000000000000000000000000000000000000000000000000000000000
χ10816-1600082−8200000000-88000000000000000000000000−42420000000000000000000000000000000000000000000000000000000000000000000
χ10916-16000−8282000000008-8000000000000000000000000−42420000000000000000000000000000000000000000000000000000000000000000000
χ11016-16000−828200000000-8800000000000000000000000042−420000000000000000000000000000000000000000000000000000000000000000000

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