Finite Group Databasebeta

← Group #14425416

Character table — Group #14425416

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222222244444444444444444488888888888888888888888888881010101012121212161616161616161616162020202020202424242424242424242440404040404040404848484860606060120120
order122344556661010441010121215152020202030303030303044121212121212202020202020202060606060606060606060606022442244202060606060606060604466121288101010102020202024661212121240404040224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1
χ91111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-11111-1-111111-111-1-111-1-11-111-1-1-1-111-1-11-11-11-1
χ101111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-11111-11-1-111-1-1111-111-1-1-1-1-1-111-11-11-11
χ111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-11-1-1111111-1-1-11-11-11
χ121111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11-1-11111-1-1111-11-11-1
χ131111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-1-11-1-111-1-1-1-1111-11-1-11
χ141111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-11-1-111-1-111-1-1-11-111-1
χ151111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-11-111-1-111-1-111-11-111-1
χ161111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1111-111-1-11111-1-11-11-1-11
χ17222222−1+52−1−52222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−5200002222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000−1+52−1−52−1+52−1−52000000
χ18222222−1+52−1−52222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−520000-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521+521−521+521−521+521−521+52000000001−521+521−521+52000000
χ19222222−1+52−1−52222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52000022221−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000001−521+521−521+52000000
χ20222222−1+52−1−52222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000-2-2-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000221−521+521−521+521−521+521−521+5200000000−1+52−1−52−1+52−1−52000000
χ21222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200002-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002-2−1+52−1−521−521+52−1+52−1−521−521+5200000000−1+52−1−521−521+52000000
χ22222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000-22-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-221−521+52−1+52−1−521−521+52−1+52−1−52000000001−521+52−1+52−1−52000000
χ23222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-2-2-21−521−521+521+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+52−1−52−1−5200002-22-21−521+521−521−521+521+521−521−521+521+52000000-22−1+52−1−521−521+52−1+52−1−521−521+52000000001−521+52−1+52−1−52000000
χ24222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-2-2-21−521−521+521+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+52−1−52−1−520000-22-221−521+521−521−521+521+521−521−521+521+520000002-21−521+52−1+52−1−521−521+52−1+52−1−5200000000−1+52−1−521−521+52000000
χ25222222−1−52−1+52222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+5200002222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000−1−52−1+52−1−52−1+52000000
χ26222222−1−52−1+52222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+520000-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521−521+521−521+521−521+521−52000000001+521−521+521−52000000
χ27222222−1−52−1+52222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52000022221+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000001+521−521+521−52000000
χ28222222−1−52−1+52222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000-2-2-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000221+521−521+521−521+521−521+521−5200000000−1−52−1+52−1−52−1+52000000
χ29222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200002-22-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002-2−1−52−1+521+521−52−1−52−1+521+521−5200000000−1−52−1+521+521−52000000
χ30222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2-2221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000-22-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-221+521−52−1−52−1+521+521−52−1−52−1+52000000001+521−52−1−52−1+52000000
χ31222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-2-2-21+521+521−521−52−1−52−1−52−1+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+5200002-22-21+521−521+521+521−521−521+521+521−521−52000000-22−1−52−1+521+521−52−1−52−1+521+521−52000000001+521−52−1−52−1+52000000
χ32222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-2-2-21+521+521−521−52−1−52−1−52−1+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+520000-22-221+521−521+521+521−521−521+521+521−521−520000002-21+521−52−1−52−1+521+521−52−1−52−1+5200000000−1−52−1+521+521−52000000
χ332222-2-222222222-222-2-222-2-2-2-222222200002-2002-22-2000000000000-2-2-2-222-2-20000002-22-200002-222-2-200000000000000002-20000000000
χ342222-2-222222222-222-2-222-2-2-2-222222200002-2002-22-2000000000000-2-2-2-2-2-2220000002-22-20000-22-2-2220000000000000000-220000000000
χ352222-2-22222222-2222-2-222-2-2-2-22222220000-2200-22-22000000000000-2-2-2-222-2-2000000-22-220000-2222-2-20000000000000000-220000000000
χ362222-2-22222222-2222-2-222-2-2-2-22222220000-2200-22-22000000000000-2-2-2-2-2-222000000-22-2200002-2-2-22200000000000000002-20000000000
χ37222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-122-1-1-1-1000000000022-1-1-1-1-1-10000000000
χ38222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000022-1-1-1-1-1-1-1-1-2-211110000000000-2-21111110000000000
χ39222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-211-1-1112222-2-2-2-211111111-1-1-1-122220000-2-2-1-1-1-1111122-1-1-1-10000000000-2-21111-1-10000000000
χ40222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-211-1-1112222-2-2-2-211111111-1-1-1-1-2-2-2-20000-2-2-1-1-1-11111-2-21111000000000022-1-1-1-1110000000000
χ41222-12222-1-1-122-2-222-1-1-1-12222-1-1-1-1-1-12-21111-1-1-2-2-2-2-2-2-2-211111111-1-1-1-122220000221111-1-1-1-1-2-2-1-1-1-100000000002-2-1-111110000000000
χ42222-12222-1-1-122-2-222-1-1-1-12222-1-1-1-1-1-12-21111-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-2-2-2-20000221111-1-1-1-12211110000000000-2211-1-1-1-10000000000
χ43222-12222-1-1-122-2-222-1-1-1-12222-1-1-1-1-1-1-22-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122220000-2-211111111-2-2-1-1-1-10000000000-2211-1-1110000000000
χ44222-12222-1-1-122-2-222-1-1-1-12222-1-1-1-1-1-1-22-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111111122111100000000002-2-1-111-1-10000000000
χ45222-1-2-222-1-1-1222-22211-1-1-2-2-2-2-1-1-1-1-1-100i3−i3-11i3−i32-22-20000i3i3−i3−i3i3i3−i3−i3111122-2-2000000-11-11i3−i3i3−i32-2-1-111000000000000i3−i3i3−i3-110000000000
χ46222-1-2-222-1-1-1222-22211-1-1-2-2-2-2-1-1-1-1-1-100i3−i3-11i3−i32-22-20000i3i3−i3−i3i3i3−i3−i31111-2-222000000-11-11i3−i3i3−i3-2211-1-1000000000000−i3i3−i3i31-10000000000
χ47222-1-2-222-1-1-1222-22211-1-1-2-2-2-2-1-1-1-1-1-100−i3i3-11−i3i32-22-20000−i3−i3i3i3−i3−i3i3i3111122-2-2000000-11-11−i3i3−i3i32-2-1-111000000000000−i3i3−i3i3-110000000000
χ48222-1-2-222-1-1-1222-22211-1-1-2-2-2-2-1-1-1-1-1-100−i3i3-11−i3i32-22-20000−i3−i3i3i3−i3−i3i3i31111-2-222000000-11-11−i3i3−i3i3-2211-1-1000000000000i3−i3i3−i31-10000000000
χ49222-1-2-222-1-1-122-222211-1-1-2-2-2-2-1-1-1-1-1-100i3−i31-1−i3i3-22-220000i3i3−i3−i3i3i3−i3−i3111122-2-20000001-11-1−i3i3−i3i3-22-1-111000000000000−i3i3i3−i31-10000000000
χ50222-1-2-222-1-1-122-222211-1-1-2-2-2-2-1-1-1-1-1-100i3−i31-1−i3i3-22-220000i3i3−i3−i3i3i3−i3−i31111-2-2220000001-11-1−i3i3−i3i32-211-1-1000000000000i3−i3−i3i3-110000000000
χ51222-1-2-222-1-1-122-222211-1-1-2-2-2-2-1-1-1-1-1-100−i3i31-1i3−i3-22-220000−i3−i3i3i3−i3−i3i3i3111122-2-20000001-11-1i3−i3i3−i3-22-1-111000000000000i3−i3−i3i31-10000000000
χ52222-1-2-222-1-1-122-222211-1-1-2-2-2-2-1-1-1-1-1-100−i3i31-1i3−i3-22-220000−i3−i3i3i3−i3−i3i3i31111-2-2220000001-11-1i3−i3i3−i32-211-1-1000000000000−i3i3i3−i3-110000000000
χ5322-222-222-2-222200-2-22-2222-22-2-2-2-2-2220000000000000000000000002-22-22-22-2020-20000000000002-22-200002200-2-2000000000000020-200
χ5422-222-222-2-222200-2-22-2222-22-2-2-2-2-2220000000000000000000000002-22-22-22-20-2020000000000002-22-20000-2-200220000000000000-20200
χ5522-222-222-2-222200-2-22-2222-22-2-2-2-2-2220000000000000000000000002-22-2-22-22020-2000000000000-22-2200002200-2-20000000000000-20200
χ5622-222-222-2-222200-2-22-2222-22-2-2-2-2-2220000000000000000000000002-22-2-22-220-202000000000000-22-220000-2-20022000000000000020-200
χ5722-22-2222-2-222200-2-2-2222-22-22-2-2-2-222000000000000000000000000-22-222-2-2220-200000000000002-2-22002200-2-20000000000000020-2000
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χ1098-80-400−2−25−2+254i3−4i342+252−250000001+51−50000−2ζ−2ζ4+2ζ11+2ζ142ζ+2ζ4−2ζ11−2ζ142ζ2−2ζ7+2ζ8−2ζ13−2ζ2+2ζ7−2ζ8+2ζ13−1−5−1+50000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ42ζ−2ζ4−2ζ11+2ζ142ζ11−2ζ14−2ζ7+2ζ132ζ7−2ζ13−2ζ2+2ζ82ζ2−2ζ800000000000000000000000000000000000000000000000000000000
χ1108-80-400−2−25−2+25−4i34i342+252−250000001+51−500002ζ+2ζ4−2ζ11−2ζ14−2ζ−2ζ4+2ζ11+2ζ14−2ζ2+2ζ7−2ζ8+2ζ132ζ2−2ζ7+2ζ8−2ζ13−1−5−1+5000000000000−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ11−2ζ14−2ζ11+2ζ142ζ−2ζ4−2ζ+2ζ42ζ2−2ζ8−2ζ2+2ζ82ζ7−2ζ13−2ζ7+2ζ1300000000000000000000000000000000000000000000000000000000
χ1118-80-400−2−25−2+25−4i34i342+252−250000001+51−500002ζ+2ζ4−2ζ11−2ζ14−2ζ−2ζ4+2ζ11+2ζ14−2ζ2+2ζ7−2ζ8+2ζ132ζ2−2ζ7+2ζ8−2ζ13−1−5−1+50000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ11+2ζ142ζ11−2ζ14−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ82ζ2−2ζ8−2ζ7+2ζ132ζ7−2ζ1300000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.