Finite Group Databasebeta

← Group #72319837

Character table — Group #72319837

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111122222222222244444444444444444444444444444444888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order12222222222244444444444444448888888888888888888888882244444488882222224444444444444444448888888816161616161616161616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1711111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-11111-1-111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ1811111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1-1-1-1-11111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111−i−iii-1-111−i−iii
χ1911111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i-1-1111111-1-1-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111−i−iii-1-111−i−iii
χ2011111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i-1-111-1-1-1-111-1-11111−i−iii−i−iii−i−iii−i−iii11-1-1ii−i−i11-1-1ii−i−i
χ2111111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1ii−i−i-1-111−i−iii
χ2211111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii11-1-1-1-111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-111−i−iii11-1-1ii−i−i
χ2311111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-11111-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111−i−iii11-1-1ii−i−i
χ2411111111-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1ii−i−i-1-111−i−iii
χ2511111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-11111-1-111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii
χ2611111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1-1-1-1-11111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111ii−i−i-1-111ii−i−i
χ2711111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii-1-1111111-1-1-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111ii−i−i-1-111ii−i−i
χ2811111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii-1-111-1-1-1-111-1-11111ii−i−iii−i−iii−i−iii−i−i11-1-1−i−iii11-1-1−i−iii
χ2911111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1−i−iii-1-111ii−i−i
χ3011111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i11-1-1-1-111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-111ii−i−i11-1-1−i−iii
χ3111111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-11111-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-111ii−i−i11-1-1−i−iii
χ3211111111-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1−i−iii-1-111ii−i−i
χ332222222222222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ342222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2222-2-22-2-22i2i2i2i−2i−2i−2i−2i-2-2222222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-222-22-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2222-2-22-2-22i2i2i2i−2i−2i−2i−2i-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i-2-2222-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2222-2-22-2-2−2i−2i−2i−2i2i2i2i2i-2-2222222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-222-22-222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2222-2-22-2-2−2i−2i−2i−2i2i2i2i2i-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i-2-2222-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ41222-2-2-22-22-22-22-2-22-222-22i2i−2i−2i2i2i−2i−2i22-2-2000000002i2i−2i−2i2i2i−2i−2i-2-22200000000000000000000000000000000000000000000000000002i−2i2i−2i2-22-2
χ42222-2-2-22-22-22-22-2-22-222-22i2i−2i−2i2i2i−2i−2i22-2-2000000002i2i−2i−2i2i2i−2i−2i-2-2220000000000000000000000000000000000000000000000000000−2i2i−2i2i-22-22
χ43222-2-2-22-22-22-22-2-22-222-22i2i−2i−2i2i2i−2i−2i-2-22200000000−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000000000000000000000000000002-22-22i−2i2i−2i00000000
χ44222-2-2-22-22-22-22-2-22-222-22i2i−2i−2i2i2i−2i−2i-2-22200000000−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000000000000000000000000000-22-22−2i2i−2i2i00000000
χ45222-2-2-22-22-22-22-2-22-222-2−2i−2i2i2i−2i−2i2i2i22-2-200000000−2i−2i2i2i−2i−2i2i2i-2-22200000000000000000000000000000000000000000000000000002i−2i2i−2i-22-22
χ46222-2-2-22-22-22-22-2-22-222-2−2i−2i2i2i−2i−2i2i2i22-2-200000000−2i−2i2i2i−2i−2i2i2i-2-2220000000000000000000000000000000000000000000000000000−2i2i−2i2i2-22-2
χ47222-2-2-22-22-22-22-2-22-222-2−2i−2i2i2i−2i−2i2i2i-2-222000000002i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000000000000000000000000000002-22-2−2i2i−2i2i00000000
χ48222-2-2-22-22-22-22-2-22-222-2−2i−2i2i2i−2i−2i2i2i-2-222000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000000000000000000000-22-222i−2i2i−2i00000000
χ49222-2-2-22-2-22-222-2-2-222-2222-2-2-2-22222220000000022-2-2-2-222-2-2-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ50222-2-2-22-2-22-222-2-2-222-2222-2-2-2-22222220000000022-2-2-2-222-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ51222-2-2-22-2-22-222-2-2-222-2222-2-2-2-222-2-2-2-200000000-2-22222-2-22222000000000000000000000000000000000000000000002-2-222-2-2200000000
χ52222-2-2-22-2-22-222-2-2-222-2222-2-2-2-222-2-2-2-200000000-2-22222-2-2222200000000000000000000000000000000000000000000-222-2-222-200000000
χ53222-2-2-22-2-22-222-2-2-222-22-2-22222-2-2222200000000-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ54222-2-2-22-2-22-222-2-2-222-22-2-22222-2-2222200000000-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ55222-2-2-22-2-22-222-2-2-222-22-2-22222-2-2-2-2-2-20000000022-2-2-2-2222222000000000000000000000000000000000000000000002-2-22-222-200000000
χ56222-2-2-22-2-22-222-2-2-222-22-2-22222-2-2-2-2-2-20000000022-2-2-2-222222200000000000000000000000000000000000000000000-222-22-2-2200000000
χ572-2-22-2-22222-2-2-22-2-2222-22i−2i2i−2i2i−2i2i−2i2-22-2000000002i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000002-22-2002i−2i2i−2i0000000000000000000000000000
χ582-2-22-2-22222-2-2-22-2-2222-22i−2i2i−2i2i−2i2i−2i2-22-2000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000-22-2200−2i2i−2i2i0000000000000000000000000000
χ592-2-22-2-22222-2-2-22-2-2222-22i−2i2i−2i2i−2i2i−2i-22-2200000000−2i2i−2i2i−2i2i−2i2i-22-220000000000002-22-200000000000000002i−2i2i−2i000000000000000000000000
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χ682-2-22-2-222-2-222-22-22-22-222-22-2-22-22-222-200000000-22-222-22-2-222-2000000000000-222-20000000000000000-222-2000000000000000000000000
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χ702-2-22-2-222-2-222-22-22-22-22-22-222-22-22-2-2200000000-22-222-22-22-2-220000000000000000000000-222-2002-2-220000000000000000000000000000
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χ722-2-22-2-222-2-222-22-22-22-22-22-222-22-2-222-2000000002-22-2-22-22-222-2000000000000-222-200000000000000002-2-22000000000000000000000000
χ732-2-2-2222-22-2-22-2-22-2-22222-2-222-2-222-2-22000000002-2-222-2-22-222-200000000000000002-2000000002-20000000000002-22-20000000000000000
χ742-2-2-2222-22-2-22-2-22-2-22222-2-222-2-222-2-22000000002-2-222-2-22-222-20000000000000000-2200000000-22000000000000-22-220000000000000000
χ752-2-2-2222-22-2-22-2-22-2-22222-2-222-2-22-222-200000000-222-2-222-22-2-220000000000000000002-22-2000000000000002-22-200000000000000000000
χ762-2-2-2222-22-2-22-2-22-2-22222-2-222-2-22-222-200000000-222-2-222-22-2-22000000000000000000-22-2200000000000000-22-2200000000000000000000
χ772-2-2-2222-22-2-22-2-22-2-2222-222-2-222-22-2-2200000000-222-2-222-2-222-200000000000000002-2000000002-2000000000000-22-220000000000000000
χ782-2-2-2222-22-2-22-2-22-2-2222-222-2-222-22-2-2200000000-222-2-222-2-222-20000000000000000-2200000000-220000000000002-22-20000000000000000
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χ802-2-2-2222-22-2-22-2-22-2-2222-222-2-222-2-222-2000000002-2-222-2-222-2-22000000000000000000-22-22000000000000002-22-200000000000000000000
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χ832-2-2-2222-2-222-2-2-22222-2-22i−2i−2i2i−2i2i2i−2i-22-2200000000−2i2i2i−2i2i−2i−2i2i2-22-20000000000000000002-2-22000000000000002i−2i−2i2i00000000000000000000
χ842-2-2-2222-2-222-2-2-22222-2-22i−2i−2i2i−2i2i2i−2i-22-2200000000−2i2i2i−2i2i−2i−2i2i2-22-2000000000000000000-222-200000000000000−2i2i2i−2i00000000000000000000
χ852-2-2-2222-2-222-2-2-22222-2-2−2i2i2i−2i2i−2i−2i2i2-22-200000000−2i2i2i−2i2i−2i−2i2i-22-2200000000000000002-200000000-22000000000000−2i2i2i−2i0000000000000000
χ862-2-2-2222-2-222-2-2-22222-2-2−2i2i2i−2i2i−2i−2i2i2-22-200000000−2i2i2i−2i2i−2i−2i2i-22-220000000000000000-22000000002-20000000000002i−2i−2i2i0000000000000000
χ872-2-2-2222-2-222-2-2-22222-2-2−2i2i2i−2i2i−2i−2i2i-22-22000000002i−2i−2i2i−2i2i2i−2i2-22-20000000000000000002-2-2200000000000000−2i2i2i−2i00000000000000000000
χ882-2-2-2222-2-222-2-2-22222-2-2−2i2i2i−2i2i−2i−2i2i-22-22000000002i−2i−2i2i−2i2i2i−2i2-22-2000000000000000000-222-2000000000000002i−2i−2i2i00000000000000000000
χ89444444444444-4-4-4-4-4-4-4-40000000000000000000000000000000044-4-400000000000000000000000000000000000000000000000000000000
χ90444444444444-4-4-4-4-4-4-4-400000000000000000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ9144444444-4-4-4-4-4-4-444-444000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ9244444444-4-4-4-4-4-4-444-44400000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ93444-4-4-44-44-44-4-444-44-4-440000000000004i4i−4i−4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ94444-4-4-44-44-44-4-444-44-4-44000000000000−4i−4i4i4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ95444-4-4-44-4-44-44-4444-4-44-40000000000004i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ96444-4-4-44-4-44-44-4444-4-44-4000000000000−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-44444-4-44-444-4-4-440000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ984-4-44-4-44444-4-44-444-4-4-44000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ994-4-44-4-444-4-4444-44-44-44-40000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-4-4444-44-44-44-4000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-4-4444-444-4-4-400000000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ1024-4-4-4444-44-4-4444-444-4-4-40000000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ1034-4-4-4444-4-444-444-4-4-4-44400000000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ1044-4-4-4444-4-444-444-4-4-4-4440000000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ10588-888-8-8-800000000000000000000000000004i2−4i24i2−4i2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-888-8-8-80000000000000000000000000000−4i24i2−4i24i2000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-88-88000000000000000000000000000042−42−4242000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-88-880000000000000000000000000000−424242−42000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-888-88-8-80000000000000000000000004i2−4i24i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-888-88-8-8000000000000000000000000−4i24i2−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-8-8800000000000000000000000042−42−42420000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-88-8-88000000000000000000000000−424242−420000000000000000000000000000000000000000000000000000000000000000000000000000

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