Finite Group Databasebeta

← Group #14512773

Character table — Group #14512773

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222444466668888101010101212121212121212121212121212121216161616161616161616161616161616161624242424242424242424242424242424303030303030303060606060606080808080
order1222445510101010101020202020444436664444224488882020202020202020121215153030303030306060606060606060101010102020202040404040404040402244888822448812121212
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
χ51111-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1
χ61111-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-111-1-1
χ71111-1-111111111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ911-1-1i−i11-1-111-1-1ii−i−ii−i1-11-11-11-1i−i1-1i−i1-1i−iii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−iii−i−i1-1i−i1-11-1i−i
χ1011-1-1i−i11-1-111-1-1ii−i−ii−i1-11-11-11-1i−i-11−ii-11−iiii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii1-1i−i−i−iii-11−ii-111-1i−i
χ1111-1-1i−i11-1-111-1-1ii−i−ii−i1-11-11-1-11−ii1-1i−i1-1i−iii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii−i−iii-11−ii-11-11−ii
χ1211-1-1i−i11-1-111-1-1ii−i−ii−i1-11-11-1-11−ii-11−ii-11−iiii−i−i11-1-1i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii-11−iiii−i−i1-1i−i1-1-11−ii
χ1311-1-1−ii11-1-111-1-1−i−iii−ii1-11-11-11-1−ii1-1−ii1-1−ii−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii1-1−ii−i−iii1-1−ii1-11-1−ii
χ1411-1-1−ii11-1-111-1-1−i−iii−ii1-11-11-11-1−ii-11i−i-11i−i−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i1-1−iiii−i−i-11i−i-111-1−ii
χ1511-1-1−ii11-1-111-1-1−i−iii−ii1-11-11-1-11i−i1-1−ii1-1−ii−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii-11i−iii−i−i-11i−i-11-11i−i
χ1611-1-1−ii11-1-111-1-1−i−iii−ii1-11-11-1-11i−i-11i−i-11i−i−i−iii11-1-1−ii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i-11i−i−i−iii1-1−ii1-1-11i−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
χ232222-2-222222222-2-2-2-2-2-222-1-1-1-122-2-200000000-2-2-2-2222211-1-1-1-1-1-1-1-111111111000000000000000022-2-20000000000-1-111
χ242222-2-222222222-2-2-2-2-2-222-1-1-1-1-2-22200000000-2-2-2-2222211-1-1-1-1-1-1-1-1111111110000000000000000-2-222000000000011-1-1
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
χ2922-2-22i−2i22-2-222-2-22i2i−2i−2i2i−2i2-2-11-112-22i−2i000000002i2i−2i−2i22-2-2−ii-1-1-1-11111−i−i−i−iiiii00000000000000002-22i−2i0000000000-11−ii
χ3022-2-22i−2i22-2-222-2-22i2i−2i−2i2i−2i2-2-11-11-22−2i2i000000002i2i−2i−2i22-2-2−ii-1-1-1-11111−i−i−i−iiiii0000000000000000-22−2i2i00000000001-1i−i
χ3122-2-22i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ942i−2i2-22-22-200002-22i−2i2-22i−2i−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+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94000000000000000000
χ3222-2-22i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ942i−2i2-22-22-20000-22−2i2i-22−2i2i−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+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+52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94000000000000000000
χ3322-2-22i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1182i−2i2-22-22-200002-22i−2i2-22i−2i−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+ζ118−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118000000000000000000
χ3422-2-22i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1182i−2i2-22-22-20000-22−2i2i-22−2i2i−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+ζ1181−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ1181−521+52−1+52−1−52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118000000000000000000
χ3522-2-2−2i2i22-2-222-2-2−2i−2i2i2i−2i2i2-2-11-112-2−2i2i00000000−2i−2i2i2i22-2-2i−i-1-1-1-11111iiii−i−i−i−i00000000000000002-2−2i2i0000000000-11i−i
χ3622-2-2−2i2i22-2-222-2-2−2i−2i2i2i−2i2i2-2-11-11-222i−2i00000000−2i−2i2i2i22-2-2i−i-1-1-1-11111iiii−i−i−i−i0000000000000000-222i−2i00000000001-1−ii
χ3722-2-2−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−2i2i2-22-22-200002-2−2i2i2-2−2i2iζ22+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−ζ94−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94000000000000000000
χ3822-2-2−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−2i2i2-22-22-20000-222i−2i-222i−2iζ22+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−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+52−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94000000000000000000
χ3922-2-2−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−2i2i2-22-22-200002-2−2i2i2-2−2i2iζ14+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−ζ118−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118000000000000000000
χ4022-2-2−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−2i2i2-22-22-20000-222i−2i-222i−2iζ14+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−ζ1181−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ1181−521+52−1+52−1−52−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118000000000000000000
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
χ453333-3-333333333-3-3-3-311-1-1000033-3-311-1-1-1-1111111-1-1-1-10000000000000000001111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-10000
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χ988-8-8800−2+25−2−25−2+25−2−252−252+252−252+2500000000-444-400000000000000000000001−51+5−1+5−1−5−1+5−1−51−51+5000000000000000000000000000000000000000000

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