Finite Group Databasebeta

← Group #14512799

Character table — Group #14512799

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222444466668888101010101212121212121212121212121212121216161616161616161616161616161616161624242424242424242424242424242424303030303030303060606060606080808080
order12224455101010101010202020204444366622444444888820202020202020201212151530303030303060606060606060602020202020202020404040404040404044448888444488661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ61111-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-111-1-1
χ71111-1-111111111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ91-1-11i−i11-1-1-1-111ii−i−ii−i1-111-1-11-1i−ii−i1-1i−i1-1ii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-1i−i1-111-1-1i−i1-1i−i1-1i−i
χ101-1-11i−i11-1-1-1-111ii−i−ii−i1-111-1-11-1i−i−ii-11−ii-11ii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-111i−i1-1-1-111−ii-11−ii1-1i−i
χ111-1-11i−i11-1-1-1-111ii−i−ii−i1-111-1-1-11−iii−i1-1i−i1-1ii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-1−ii-11-1-111−ii-11−ii-11−ii
χ121-1-11i−i11-1-1-1-111ii−i−ii−i1-111-1-1-11−ii−ii-11−ii-11ii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-111−ii-1111-1-1i−i1-1i−i-11−ii
χ131-1-11−ii11-1-1-1-111−i−iii−ii1-111-1-11-1−iii−i-11i−i-11−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-111−ii1-1-1-111i−i-11i−i1-1−ii
χ141-1-11−ii11-1-1-1-111−i−iii−ii1-111-1-11-1−ii−ii1-1−ii1-1−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-1−ii1-111-1-1−ii1-1−ii1-1−ii
χ151-1-11−ii11-1-1-1-111−i−iii−ii1-111-1-1-11i−ii−i-11i−i-11−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-111i−i-1111-1-1−ii1-1−ii-11i−i
χ161-1-11−ii11-1-1-1-111−i−iii−ii1-111-1-1-11i−i−ii1-1−ii1-1−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-1i−i-11-1-111i−i-11i−i-11i−i
χ172222222222222222222222-1-1-1-122220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000000000-1-1-1-1
χ182222222222222222222222-1-1-1-1-2-2-2-20000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000001111
χ19222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ20222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222220000-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222220000-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ232222-2-222222222-2-2-2-2-2-222-1-1-1-122-2-200000000-2-2-2-2222211-1-1-1-1-1-1-1-1111111110000000000000000-2-2220000000000-1-111
χ242222-2-222222222-2-2-2-2-2-222-1-1-1-1-2-22200000000-2-2-2-2222211-1-1-1-1-1-1-1-111111111000000000000000022-2-2000000000011-1-1
χ252222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52-2-2222222000022-2-222-2-21+521−521+521−52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ262222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52-2-22222220000-2-222-2-2221+521−521+521−52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52-2-2222222000022-2-222-2-21−521+521−521+52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52-2-22222220000-2-222-2-2221−521+521−521+52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ292-2-222i−2i22-2-2-2-2222i2i−2i−2i2i−2i2-2-1-1112-22i−2i000000002i2i−2i−2i22-2-2−ii-1-1-1-11111−i−i−i−iiiii00000000000000002i−2i2-20000000000-11−ii
χ302-2-222i−2i22-2-2-2-2222i2i−2i−2i2i−2i2-2-1-111-22−2i2i000000002i2i−2i−2i22-2-2−ii-1-1-1-11111−i−i−i−iiiii0000000000000000−2i2i-2200000000001-1i−i
χ312-2-222i−2i−1−52−1+521+521−521+521−52−1−52−1+52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ942i−2i2-222-2-200002i−2i2-22i−2i2-2−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−522i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52000000000000000000
χ322-2-222i−2i−1−52−1+521+521−521+521−52−1−52−1+52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ942i−2i2-222-2-20000−2i2i-22−2i2i-22−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−522i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ941+521−52−1−52−1+52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ941+521−52−1−52−1+52000000000000000000
χ332-2-222i−2i−1+52−1−521−521+521−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1182i−2i2-222-2-200002i−2i2-22i−2i2-2−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+522i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+52000000000000000000
χ342-2-222i−2i−1+52−1−521−521+521−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1182i−2i2-222-2-20000−2i2i-22−2i2i-22−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+522i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1181−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1181−521+52−1+52−1−52000000000000000000
χ352-2-22−2i2i22-2-2-2-222−2i−2i2i2i−2i2i2-2-1-1112-2−2i2i00000000−2i−2i2i2i22-2-2i−i-1-1-1-11111iiii−i−i−i−i0000000000000000−2i2i2-20000000000-11i−i
χ362-2-22−2i2i22-2-2-2-222−2i−2i2i2i−2i2i2-2-1-111-222i−2i00000000−2i−2i2i2i22-2-2i−i-1-1-1-11111iiii−i−i−i−i00000000000000002i−2i-2200000000001-1−ii
χ372-2-22−2i2i−1−52−1+521+521−521+521−52−1−52−1+52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−2i2i2-222-2-200002i−2i-222i−2i-22ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ941+521−52−1−52−1+52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ941+521−52−1−52−1+52000000000000000000
χ382-2-22−2i2i−1−52−1+521+521−521+521−52−1−52−1+52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−2i2i2-222-2-20000−2i2i2-2−2i2i2-2ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52000000000000000000
χ392-2-22−2i2i−1+52−1−521−521+521−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−2i2i2-222-2-200002i−2i-222i−2i-22ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1181−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1181−521+52−1+52−1−52000000000000000000
χ402-2-22−2i2i−1+52−1−521−521+521−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−2i2i2-222-2-20000−2i2i2-2−2i2i2-2ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52000000000000000000
χ41333333333333333333-1-1-1-1000033331111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-10000
χ42333333333333333333-1-1-1-100003333-1-1-1-11111-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1110000
χ43333333333333333333-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-111111111-1-1-1-1110000
χ44333333333333333333-1-1-1-10000-3-3-3-3-1-1-1-11111-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-10000
χ453333-3-333333333-3-3-3-311-1-1000033-3-311-1-1-1-1111111-1-1-1-10000000000000000001111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-10000
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χ988-88-800−2+25−2−25−2+25−2−252−252+252−252+2500000000-444-400000000000000000000001−51+5−1+5−1−51−51+5−1+5−1−5000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.