Finite Group Databasebeta

← Group #14513283

Character table — Group #14513283

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222266666666888810101010121212121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616242424242424242430303030606060606060606080808080
order12222255101010101010101010101010101044448888366644442222882020202020202020404040404040404040404040404040406615153030303030303030303030303030101010101010101044444444888812121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-1111111-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ71111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ81111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ911-1-11-111-1-1-1-11111-1-1-1-1111-11-111-1-111-1-1i−ii−i1-11-11-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ1011-1-11-111-1-1-1-11111-1-1-1-1111-11-111-1-111-1-1−ii−ii1-11-11-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ1111-1-11-111-1-1-1-11111-1-1-1-1111-11-1-1-11111-1-1i−ii−i-11-11-11-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-111-1-111i−ii−i−ii−ii−ii−iii−ii−i
χ1211-1-11-111-1-1-1-11111-1-1-1-1111-11-1-1-11111-1-1−ii−ii-11-11-11-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-111-1-111−ii−iii−ii−ii−ii−i−ii−ii
χ1311-1-1-1111-1-1-1-1-1-1-1-1111111-111-111-1-111-1-1i−i−ii1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1111111-1-1-1-111i−i−iii−i−iii−i−iii−i−ii
χ1411-1-1-1111-1-1-1-1-1-1-1-1111111-111-111-1-111-1-1−iii−i1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1111111-1-1-1-111−iii−i−iii−i−iii−i−iii−i
χ1511-1-1-1111-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1i−i−ii-111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1i−i−ii−iii−i−iii−ii−i−ii
χ1611-1-1-1111-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-1−iii−i-111-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1−iii−ii−i−iii−i−ii−iii−i
χ17222222222222222222222222220000-1-1-1-12222000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1
χ18222222222222222222222222220000-1-1-1-1-2-2-2-2000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111
χ19222222−1+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+52−1−522222222222220000222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ20222222−1+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+52−1−522222-2-2-2-222220000-2-2-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000
χ21222222−1−52−1+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+522222222222220000222222−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ22222222−1−52−1+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+522222-2-2-2-222220000-2-2-2-2-2-2−1−52−1+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+521+521−521+521−521+521−521+521−520000000000000000
χ232222-2-2222222-2-2-2-2-2-2-2-222-2-2220000-1-1-1-122-2-200000022-2-2-2-222000000000000000011-1-1-1-1-1-1-1-1111111110000000022-2-200000000-1-111
χ242222-2-2222222-2-2-2-2-2-2-2-222-2-2220000-1-1-1-1-2-22200000022-2-2-2-222000000000000000011-1-1-1-1-1-1-1-11111111100000000-2-2220000000011-1-1
χ252222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-22222222222000022-2-2-2-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ262222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-222-2-2-2-222220000-2-22222−1+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+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ272222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52-2-22222222222000022-2-2-2-2−1−52−1+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+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ282222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52-2-222-2-2-2-222220000-2-22222−1−52−1+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+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ2922-2-22-222-2-2-2-22222-2-2-2-2222-22-20000-1-1112i−2i2i−2i000000-2-222-2-2220000000000000000-11-1-1-1-11111-1-1-1-11111000000002i−2i2i−2i00000000−ii−ii
χ3022-2-22-222-2-2-2-22222-2-2-2-2222-22-20000-1-111−2i2i−2i2i000000-2-222-2-2220000000000000000-11-1-1-1-11111-1-1-1-1111100000000−2i2i−2i2i00000000i−ii−i
χ3122-2-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-22-222-2-222-2-200002-22-22-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ3222-2-22-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-22-2-2-22222-2-20000-22-22-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000
χ3322-2-22-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-22-222-2-222-2-200002-22-22-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ3422-2-22-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-22-2-2-22222-2-20000-22-22-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000
χ3522-2-2-2222-2-2-2-2-2-2-2-2222222-222-20000-1-1112i−2i−2i2i000000-2-2-2-2222200000000000000001-1-1-1-1-111111111-1-1-1-1000000002i−2i−2i2i00000000−iii−i
χ3622-2-2-2222-2-2-2-2-2-2-2-2222222-222-20000-1-111−2i2i2i−2i000000-2-2-2-2222200000000000000001-1-1-1-1-111111111-1-1-1-100000000−2i2i2i−2i00000000i−i−ii
χ3722-2-2-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-222-222-2-222-2-200002-2-22-221−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000
χ3822-2-2-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-22222-2-20000-222-22-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000
χ3922-2-2-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-222-222-2-222-2-200002-2-22-221+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000
χ4022-2-2-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-22222-2-20000-222-22-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−520000000000000000
χ413333333333333333333333-1-1-1-1111100003333-1-1-1-111-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000
χ423333333333333333333333-1-1-1-111110000-3-3-3-3-1-1-1-111-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-10000
χ433333333333333333333333-1-1-1-1-1-1-1-1000033331111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-11111-1-1-1-10000
χ443333333333333333333333-1-1-1-1-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111111-1-1-1-111110000
χ453333-3-3333333-3-3-3-3-3-3-3-33311-1-11111000033-3-3-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111-1-11111-1-10000
χ463333-3-3333333-3-3-3-3-3-3-3-33311-1-111110000-3-333-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1111111-1-111-1-1-1-1110000
χ473333-3-3333333-3-3-3-3-3-3-3-33311-1-1-1-1-1-1000033-3-311-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000001111-1-1-1-1-1-11111-1-1-1-1110000
χ483333-3-3333333-3-3-3-3-3-3-3-33311-1-1-1-1-1-10000-3-33311-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000001111-1-1-1-111-1-1-1-11111-1-10000
χ4933-3-33-333-3-3-3-33333-3-3-3-333-11-1111-1-100003i−3i3i−3i-11-111-111-1-111-1-11111-1-1-1-11111-1-1-1-1000000000000000000-1-111-1-111−ii−ii−ii−iii−ii−i0000
χ5033-3-33-333-3-3-3-33333-3-3-3-333-11-1111-1-10000−3i3i−3i3i-11-111-111-1-111-1-11111-1-1-1-11111-1-1-1-1000000000000000000-1-111-1-111i−ii−ii−ii−i−ii−ii0000
χ5133-3-33-333-3-3-3-33333-3-3-3-333-11-11-1-11100003i−3i3i−3i1-11-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000011-1-111-1-1−ii−iii−ii−i−ii−ii0000
χ5233-3-33-333-3-3-3-33333-3-3-3-333-11-11-1-1110000−3i3i−3i3i1-11-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000011-1-111-1-1i−ii−i−ii−iii−ii−i0000
χ5333-3-3-3333-3-3-3-3-3-3-3-33333331-1-1111-1-100003i−3i−3i3i-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000-1-11111-1-1−iii−i−iii−ii−i−ii0000
χ5433-3-3-3333-3-3-3-3-3-3-3-33333331-1-1111-1-10000−3i3i3i−3i-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000-1-11111-1-1i−i−iii−i−ii−iii−i0000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.