Finite Group Databasebeta

← Group #14513363

Character table — Group #14513363

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222222226666888812121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616202024242424242424242424606080808080120120120120
order122222551010101010101010101010101010444436668888202020202020202040404040404040404040404040404040661515303030303030303030303030303024442020202020202020246612122488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1111-1-11-11-1
χ61111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-1-111-11-11
χ71111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1111-1-1-11-11
χ81111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-1111-11-1
χ922222222222222222222222222-1-1-1-10000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000022-1-1-1-10000
χ1022222222222222222222222222-1-1-1-10000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000-2-211110000
χ11222222−1−52−1+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+52222222222222−1−52−1+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+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+520022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ12222222−1−52−1+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+5222222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1+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+5200-2-21+521+521−521−521+521+521−521−520000000000
χ13222222−1+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+52−1−52222222222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ14222222−1+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+52−1−5222222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-21−521−521+521+521−521−521+521+520000000000
χ152222-2-22222-2-2-2-2-2-2-2-22222-2-222-1-1-1-1000022-2-2-2-222000000000000000011-1-1-1-1-1-1-1-1111111112-20000000000-22-1-1110000
χ162222-2-22222-2-2-2-2-2-2-2-22222-2-222-1-1-1-1000022-2-2-2-222000000000000000011-1-1-1-1-1-1-1-111111111-2200000000002-211-1-10000
χ172222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52-2-222222222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52002-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ182222-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52-2-2222222-2-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5200-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ192222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52-2-222222222-2-2−1+52−1−521−521−521+521+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+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+52002-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ202222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52-2-2222222-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+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+5200-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ212-2-222-222-2-222-2-222-2-222-2-22-2-222-2-220000222-22-2-2-200000000000000002-2222-2-22-2-222-2-222-2-20000000000000000000000
χ222-2-222-222-2-222-2-222-2-222-2-22-2-22-111-10000222-22-2-2-20000000000000000-11-1-1-111-111-1-111-1-11100000000000000−i3i3−i3i30000
χ232-2-222-222-2-222-2-222-2-222-2-22-2-22-111-10000222-22-2-2-20000000000000000-11-1-1-111-111-1-111-1-11100000000000000i3−i3i3−i30000
χ242-2-222-2−1−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521−522-2-222-2-220000−1−52−1+52−1−521+52−1+521−521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ942-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000000
χ252-2-222-2−1−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521−522-2-222-2-220000−1−52−1+52−1−521+52−1+521−521+521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ942-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940000000000
χ262-2-222-2−1+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521+522-2-222-2-220000−1+52−1−52−1+521−52−1−521+521−521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ1182-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1180000000000
χ272-2-222-2−1+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521+522-2-222-2-220000−1+52−1−52−1+521−52−1−521+521−521+52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ1182-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1180000000000
χ282-2-22-2222-2-2-2-222-2-22222-2-2-22-222-2-22000022-22-22-2-20000000000000000-22222-2-22-2-2-2-222-2-2220000000000000000000000
χ292-2-22-2222-2-2-2-222-2-22222-2-2-22-22-111-1000022-22-22-2-200000000000000001-1-1-1-111-11111-1-111-1-100000000000000−i3i3i3−i30000
χ302-2-22-2222-2-2-2-222-2-22222-2-2-22-22-111-1000022-22-22-2-200000000000000001-1-1-1-111-11111-1-111-1-100000000000000i3−i3−i3i30000
χ312-2-22-22−1−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+521+521−52-22-222-2-220000−1−52−1+521+52−1−521−52−1+521+521−52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940000000000
χ322-2-22-22−1−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+521+521−52-22-222-2-220000−1−52−1+521+52−1−521−52−1+521+521−52ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000000
χ332-2-22-22−1+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521+52-22-222-2-220000−1+52−1−521−52−1+521+52−1−521−521+52ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1180000000000
χ342-2-22-22−1+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521+52-22-222-2-220000−1+52−1−521−52−1+521+52−1−521−521+52−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ1180000000000
χ353333333333333333333333-1-1-1-100001111-1-1-1-1-1-1-1-1111111111111111100000000000000000033-1-1-1-1-1-1-1-1-1-1-1-10000-1-111
χ363333333333333333333333-1-1-1-100001111-1-1-1-1-1-1-1-11111111111111111000000000000000000-3-3-1-1-1-1-1-1-1-1-1-111000011-1-1
χ373333333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000331111111111-1-1000011-1-1
χ383333333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-3-31111111111110000-1-111
χ393333-3-33333-3-3-3-3-3-3-3-3333311-1-1000011-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000003-3-11-1-1-1-111111-10000-111-1
χ403333-3-33333-3-3-3-3-3-3-3-3333311-1-1000011-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1000000000000000000-33-11-1-1-1-11111-1100001-1-11
χ413333-3-33333-3-3-3-3-3-3-3-3333311-1-10000-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000003-31-11111-1-1-1-11-100001-1-11
χ423333-3-33333-3-3-3-3-3-3-3-3333311-1-10000-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000000-331-11111-1-1-1-1-110000-111-1
χ43444444−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1+5−1−5−1+54444-2-2-2-20000−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000000000000000-2-21+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.