Finite Group Databasebeta

← Group #13040323

Character table — Group #13040323

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222224444444444444445555888888888888881010101010101010101010101010101016161616161616162020202020202020202020202020202020202040404040404040404040
order12224444888822444588101010202020202222442020202040404040404040404444444444448888101020202020202022444444488888888884444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-111111111-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i
χ4111111111111111111111111111-1-1-1-111111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-111111111-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii
χ5111111111111-1-11-1-111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111-1-11-1-111111111111111-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111-1-11-1-11111111111-1-1-1-1-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-111ii−i−i-1-1iiii−i−i−i−i11−i−i−i−iiiii
χ8111111111111-1-11-1-11111111111-1-1-1-1-1-1111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-111-111−i−iii-1-1−i−i−i−iiiii11iiii−i−i−i−i
χ911111111-1-1-1-1111-1-11-1-1111111111111-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1
χ1011111111-1-1-1-1111-1-11-1-1111111111111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111
χ1111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-111111111-1-1-1-1-1-1-111ii−i−i11−i−i−i−iiiii-11ii−i−i−i−iii
χ1211111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-111111111-1-1-1-1-1-1-111−i−iii11iiii−i−i−i−i-11−i−iiiii−i−i
χ1311111111-1-1-1-1-1-11111-1-111111111111-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111
χ1411111111-1-1-1-1-1-11111-1-111111111111-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111111111-1111-1-111-1-1
χ1511111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1-1-1-1111111-1-1-1ii−i−i11−i−i−i−iiiii1-1−i−iiiii−i−i
χ1611111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1-1-1-1111111-1-1-1−i−iii11iiii−i−i−i−i1-1ii−i−i−i−iii
χ171111-1-111111111-1111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-11111111-1-111-1-111-1111-11-1-1-111-1-111-1-1-1-11-11-11-11-1
χ181111-1-111111111-1111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1111111111-1-111-1-111-111-11-11-1-1-1-111-1-111-1-1-11-11-11-11
χ191111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-111-1-111-1-1-1-11-1-1i−i−ii11ii−i−i−i−iii11i−ii−i−ii−ii
χ201111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-111-1-111-1-1-1-11-1-1−iii−i11−i−iiiii−i−i11−ii−iii−ii−i
χ211111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1111111-1-1111111-1-1-1-11-1-111-1-111-1-111111-1-111-1-111-1-1-1-1-11-11-1-1-111-1-111-1-111-11-11-11-11
χ221111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1111111-1-1111111-1-1-1-11-1-1-1-111-1-11111111-1-111-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111111-11-11-11-1
χ231111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-111-1-11111111i−i−ii11ii−i−i−i−iii-1-1−ii−iii−ii−i
χ241111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-111-1-11111111−iii−i11−i−iiiii−i−i-1-1i−ii−i−ii−ii
χ251111-1-111-1-1-1-111-1-1-1111111-1-1-1-11111-11-1-111-1-1-1-111111-1-111-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-11-11-111-1-111-1-111-111-1-111-1-11
χ261111-1-111-1-1-1-111-1-1-1111111-1-1-1-11111-11-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11-111111-1-111-1-1-11-111-1-111-1
χ271111-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-111ii−i−i−i−iii-1111111-1-1-1-111-1-1111i−i−ii-1-1−i−iiiii−i−i1-1i−i−ii−iii−i
χ281111-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-111−i−iiiii−i−i-1111111-1-1-1-111-1-1111−iii−i-1-1ii−i−i−i−iii1-1−iii−ii−i−ii
χ291111-1-111-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-111111-1-111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1111-11-111-1-111-1-1111-1-111-1-111-1
χ301111-1-111-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1-1-1-111-11-111111-1-111-1-11-11-1-111-1-11
χ311111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-111ii−i−i−i−iii-11111-1-11111-1-1111-1-1i−i−ii-1-1−i−iiiii−i−i-11−iii−ii−i−ii
χ321111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-111−i−iiiii−i−i-11111-1-11111-1-1111-1-1−iii−i-1-1ii−i−i−i−iii-11i−i−ii−iii−i
χ33222222-2-2000000-2002002222222222200-2-2-2-200000000-22222222222-200000000000000-200-2-2-2-200000000000000000000
χ34222222-2-2000000-2002002222222222200-2-2-2-200000000-222-2-2-2-2-2-2-2-2-200000000000000-200222200000000000000000000
χ35222222-2-2000000-2002002222222-2-2-2-200-2-2-2-2000000002-2-22i2i2i2i−2i−2i−2i−2i200000000000000200−2i−2i2i2i00000000000000000000
χ36222222-2-2000000-2002002222222-2-2-2-200-2-2-2-2000000002-2-2−2i−2i−2i−2i2i2i2i2i2000000000000002002i2i−2i−2i00000000000000000000
χ372222-2-2-2-2000000200200222-2-2-2-222220022-2-200000000-2-2-222-2-222-2-2-200000000000000200-22-2200000000000000000000
χ382222-2-2-2-2000000200200222-2-2-2-222220022-2-200000000-2-2-2-2-222-2-222-2000000000000002002-22-200000000000000000000
χ392222-2-2-2-2000000200200222-2-2-2-2-2-2-2-20022-2-2000000002222i2i−2i−2i−2i−2i2i2i200000000000000-200−2i2i2i−2i00000000000000000000
χ402222-2-2-2-2000000200200222-2-2-2-2-2-2-2-20022-2-200000000222−2i−2i2i2i2i2i−2i−2i200000000000000-2002i−2i−2i2i00000000000000000000
χ4122-2-2002-222-2-22-202-22002-2-2000022-2-200002-222-2-2000020000000000-222-2-22-2002-2002-202-2000000000000000000000000
χ4222-2-2002-222-2-22-202-22002-2-20000-2-22200002-222-2-20000-200000000002-2-2222-2002-200-220-22000000000000000000000000
χ4322-2-2002-222-2-2-220-222002-2-2000022-2-200002-222-2-2000020000000000-222-2-2-2200-2200-220-22000000000000000000000000
χ4422-2-2002-222-2-2-220-222002-2-20000-2-22200002-222-2-20000-200000000002-2-222-2200-22002-202-2000000000000000000000000
χ4522-2-2002-2-2-2222-20-222002-2-2000022-2-200002-2-2-222000020000000000-2-2-2222-200-22002-20-22000000000000000000000000
χ4622-2-2002-2-2-2222-20-222002-2-20000-2-22200002-2-2-2220000-20000000000222-2-22-200-2200-2202-2000000000000000000000000
χ4722-2-2002-2-2-222-2202-22002-2-2000022-2-200002-2-2-222000020000000000-2-2-222-22002-200-2202-2000000000000000000000000
χ4822-2-2002-2-2-222-2202-22002-2-20000-2-22200002-2-2-2220000-20000000000222-2-2-22002-2002-20-22000000000000000000000000
χ492-22-22i−2i00i2−i2i2−i20000022−2-22-22i2i−2i−2i2-22-2000000i2−i2i2−i222−2−202i−2i2-22i−2i2-22i−2i0i2−i2i2−i2000000000000000002−2i2−i22−2i2−i22−20000000000
χ502-22-22i−2i00i2−i2i2−i20000022−2-22-22i2i−2i−2i2-22-2000000i2−i2i2−i222−2−202i−2i-22−2i2i-22−2i2i0i2−i2i2−i2000000000000000002−2−i2i2−22−i2i2−220000000000
χ512-22-22i−2i00i2−i2i2−i20000022−2-22-22i2i−2i−2i-22-22000000i2−i2i2−i222−2−20−2i2i2i−2i-22−2i2i2-20−i2i2−i2i200000000000000000−22−22i2−i22−2−i2i20000000000
χ522-22-22i−2i00i2−i2i2−i20000022−2-22-22i2i−2i−2i-22-22000000i2−i2i2−i222−2−20−2i2i−2i2i2-22i−2i-220−i2i2−i2i200000000000000000−222−2−i2i2−22i2−i20000000000
χ532-22-22i−2i00−i2i2−i2i2000002−22-22-22i2i−2i−2i2-22-2000000−i2i2−i2i2−2−22202i−2i2-22i−2i2-22i−2i0−i2i2−i2i200000000000000000−22−i2i2−22−i2i2−220000000000
χ542-22-22i−2i00−i2i2−i2i2000002−22-22-22i2i−2i−2i2-22-2000000−i2i2−i2i2−2−22202i−2i-22−2i2i-22−2i2i0−i2i2−i2i200000000000000000−22i2−i22−2i2−i22−20000000000
χ552-22-22i−2i00−i2i2−i2i2000002−22-22-22i2i−2i−2i-22-22000000−i2i2−i2i2−2−2220−2i2i2i−2i-22−2i2i2-20i2−i2i2−i2000000000000000002−22−2−i2i2−22i2−i20000000000
χ562-22-22i−2i00−i2i2−i2i2000002−22-22-22i2i−2i−2i-22-22000000−i2i2−i2i2−2−2220−2i2i−2i2i2-22i−2i-220i2−i2i2−i2000000000000000002−2−22i2−i22−2−i2i20000000000
χ572-22-2−2i2i00i2−i2i2−i2000002−22-22-2−2i−2i2i2i2-22-2000000i2−i2i2−i2−2−2220−2i2i2-2−2i2i2-2−2i2i0i2−i2i2−i200000000000000000−22i2−i2−22i2−i2−220000000000
χ582-22-2−2i2i00i2−i2i2−i2000002−22-22-2−2i−2i2i2i2-22-2000000i2−i2i2−i2−2−2220−2i2i-222i−2i-222i−2i0i2−i2i2−i200000000000000000−22−i2i22−2−i2i22−20000000000
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χ6544444444444444444-144-1-1-1-1-1-1-1000044-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000
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χ7744-4-4004-4-4-4444-40-44-100-111i5−i5i5−i5000000i5−i5-1111-1-1−i5i5−i5i50000000000000000-11i5−i51-1−i5i500000000000000000000000000000
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χ948-88-8−8i8i00−4i24i2−4i24i200000-242−422-222i2i−2i−2i0000000000i2−i2i2−i2−2−22200000000000000000000000000000000000000000000000000000
χ958-8-8800004i2−4i2−4i24i200000-20022-225−25−25250000000000−i2i2i2−i2−i10i10i10−i1000000000000000000000000000000000000000000000000000000
χ968-8-8800004i2−4i2−4i24i200000-20022-2−252525−250000000000−i2i2i2−i2i10−i10−i10i1000000000000000000000000000000000000000000000000000000
χ978-8-880000−4i24i24i2−4i200000-20022-225−25−25250000000000i2−i2−i2i2i10−i10−i10i1000000000000000000000000000000000000000000000000000000
χ988-8-880000−4i24i24i2−4i200000-20022-2−252525−250000000000i2−i2−i2i2−i10i10i10−i1000000000000000000000000000000000000000000000000000000

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