Finite Group Databasebeta

← Group #14514448

Character table — Group #14514448

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11112222222222333344446666666666888810101010121212121212121212121212161616161616161616161616161616161616242424242424242424242424242424243030303030303030303030306060606080808080
order124424551010202020202244101020202410101010202020203612122244224444441010202061215153030303030306060606060606060101010102020202020202020202020202222444444442444661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ51111-1-1111111111111-1-1-1-1-1-11111111111111-11-11-11-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11-1111-1111111-1-1-1-11-11-1
χ61111-1-1111111111111-1-1-1-1-1-11111111111111-11-1-11-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-11-1-1-1-1-1-1-111111-11-1
χ71111-1-1111111111111-1-1-1-1-1-1111111111111-11-111-11-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-1-11-1-1-1-1-1-11111-11-11
χ81111-1-1111111111111-1-1-1-1-1-1111111111111-11-11-11-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1111-11111111-1-1-1-1-11-11
χ911-1-11-11111-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-11-1-111-1-111-11-111-1-11-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-111-11-1-111-1-11-11-11-1-11
χ1011-1-11-11111-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-11-1-11-111-1-11-1111-1-11-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-111-11-111-1-11
χ1111-1-11-11111-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-1-111-11-1-111-11-111-1-11-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-11-111-1-111-11-11-111-1
χ1211-1-11-11111-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-1-111-1-111-1-11-1111-1-11-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11111-1-1-111-1-11-11-1-111-1
χ1311-1-1-111111-1-1-1-111-1-1-1-111-111111-1-1-1-111-1-111-1-111-1-11-1-11-1-111-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11-1111-1-1
χ1411-1-1-111111-1-1-1-111-1-1-1-111-111111-1-1-1-111-1-111-1-1-1-111-111-1-1-111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1111-11-111-1-1
χ1511-1-1-111111-1-1-1-111-1-1-1-111-111111-1-1-1-111-1-1-1-11111-1-11-1-11-1-111-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-11-1-1-111
χ1611-1-1-111111-1-1-1-111-1-1-1-111-111111-1-1-1-111-1-1-1-111-1-111-111-1-1-111-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-11-11-1-111
χ1722222222222222222222222222222222-1-1-1-12222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200220000000000-1-1-1-1
χ1822222222222222222222222222222222-1-1-1-1-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200-2-200000000001111
χ19222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222000022222222−1−52−1+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+5200000000000000000000
χ20222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222220000-2-2-2-2-2-2-2-2−1−52−1+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+521−5200000000000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222000022222222−1+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+52−1−5200000000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222220000-2-2-2-2-2-2-2-2−1+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+5200000000000000000000
χ232222-2-2222222222222-2-2-2-2-2-222222222-1-1-1-12-22-200000000-2-2-2-211-1-11111-1-1-1-1-1-1111100000000000000002-2002-20000000000-11-11
χ242222-2-2222222222222-2-2-2-2-2-222222222-1-1-1-1-22-2200000000-2-2-2-211-1-11111-1-1-1-1-1-111110000000000000000-2200-2200000000001-11-1
χ252222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222221+521−521+521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222200002-22-222-2-21+521−521+521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ262222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222221+521−521+521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222220000-22-22-2-2221+521−521+521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222221−521+521−521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222200002-22-222-2-21−521+521−521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222221−521+521−521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222220000-22-22-2-2221−521+521−521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ2922-2-22-22222-2-2-2-222-2-222-2-22-22222-2-2-2-2-1-1112-2-220000000022-2-2-11-1-1-1-1-1-1-1-11111111100000000000000002-200-220000000000-111-1
χ3022-2-22-22222-2-2-2-222-2-222-2-22-22222-2-2-2-2-1-111-222-20000000022-2-2-11-1-1-1-1-1-1-1-1111111110000000000000000-22002-200000000001-1-11
χ3122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1+521+521−522-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-200002-2-222-22-2−1−52−1+521+521−522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000000000000000000
χ3222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1+521+521−522-2−1−52−1−52−1+52−1+521+521+521−521−5222-2-20000-222-2-22-22−1−52−1+521+521−522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000000000000000000
χ3322-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1−521−521+522-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-200002-2-222-22-2−1+52−1−521−521+522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000000000000000000
χ3422-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1−521−521+522-2−1+52−1+52−1−52−1−521−521−521+521+5222-2-20000-222-2-22-22−1+52−1−521−521+522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−5200000000000000000000
χ3522-2-2-222222-2-2-2-222-2-2-2-222-222222-2-2-2-2-1-11122-2-200000000-2-2221-1-1-11111-1-11111-1-1-1-100000000000000002200-2-20000000000-1-111
χ3622-2-2-222222-2-2-2-222-2-2-2-222-222222-2-2-2-2-1-111-2-22200000000-2-2221-1-1-11111-1-11111-1-1-1-10000000000000000-2-20022000000000011-1-1
χ3722-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5222-2-21+521−52−1−52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−5222-2-2000022-2-22-2-221+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+5200000000000000000000
χ3822-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5222-2-21+521−52−1−52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−5222-2-20000-2-222-222-21+521−52−1−52−1+52-22−1−52−1+521+521+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+521+521−52−1−52−1+52−1−52−1+521+521−5200000000000000000000
χ3922-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-21−521+52−1+52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+5222-2-2000022-2-22-2-221−521+52−1+52−1−52-22−1+52−1−521−521−521+521+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+52−1+52−1−521−521+521−521+52−1+52−1−5200000000000000000000
χ4022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-21−521+52−1+52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+5222-2-20000-2-222-222-21−521+52−1+52−1−52-22−1+52−1−521−521−521+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+52−1−521−521+52−1+52−1−52−1+52−1−521−521+5200000000000000000000
χ412-22i−2i0022-2-22i−2i2i−2i2-22i−2i0000002-22-22i−2i2i−2i2-22i−2i000000000000000000220000-2-22i−2i2i−2i00000000000000000000002-2002i−2i2-22i−2i00000000
χ422-22i−2i0022-2-22i−2i2i−2i2-22i−2i0000002-22-22i−2i2i−2i2-22i−2i000000000000000000220000-2-22i−2i2i−2i0000000000000000000000-2200−2i2i-22−2i2i00000000
χ432-2−2i2i0022-2-2−2i2i−2i2i2-2−2i2i0000002-22-2−2i2i−2i2i2-2−2i2i000000000000000000220000-2-2−2i2i−2i2i00000000000000000000002-200−2i2i2-2−2i2i00000000
χ442-2−2i2i0022-2-2−2i2i−2i2i2-2−2i2i0000002-22-2−2i2i−2i2i2-2−2i2i000000000000000000220000-2-2−2i2i−2i2i0000000000000000000000-22002i−2i-222i−2i00000000
χ4533333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1000033331111-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-10000
χ4633333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-100003333-1-1-1-11111-1-1-1-1000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1110000
χ4733333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1110000
χ4833333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-10000-3-3-3-3-1-1-1-11111-1-1-1-1000000000000000000-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-10000
χ493333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-100003-33-31-11-1-1-111111100000000000000000011-1-111-1-1-1-1-1-11111-1111-1111-1-1-1-1-1-1110000
χ503333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-100003-33-3-11-1111-1-11111000000000000000000-1-111-1-1111111-1-1-1-1-11-1-1-11-1-1111111-1-10000
χ513333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-10000-33-331-11-1-1-111111100000000000000000011-1-111-1-1-1-1-1-111111-1-1-11-1-1-1111111-1-10000
χ523333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-10000-33-33-11-1111-1-11111000000000000000000-1-111-1-1111111-1-1-1-11-1111-111-1-1-1-1-1-1110000
χ5333-3-33-33333-3-3-3-3-1-11133-3-3-11-1-1-1-1111100003-3-331-1-11-11-11-1-11100000000000000000011-1-1-1-111-1-111-1-111-11111-1-1-1-1-1111-1-110000
χ5433-3-33-33333-3-3-3-3-1-11133-3-3-11-1-1-1-1111100003-3-33-111-11-11-1-1-111000000000000000000-1-11111-1-111-1-111-1-1-11-1-11-11111-1-1-111-10000
χ5533-3-33-33333-3-3-3-3-1-11133-3-3-11-1-1-1-111110000-333-31-1-11-11-11-1-11100000000000000000011-1-1-1-111-1-111-1-1111-1-1-1-111111-1-1-111-10000
χ5633-3-33-33333-3-3-3-3-1-11133-3-3-11-1-1-1-111110000-333-3-111-11-11-1-1-111000000000000000000-1-11111-1-111-1-111-1-11-111-11-1-1-1-1111-1-110000
χ5733-3-3-333333-3-3-3-3-1-111-3-3331-1-1-1-1-11111000033-3-311-1-1-111-111-1-10000000000000000001111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-10000
χ5833-3-3-333333-3-3-3-3-1-111-3-3331-1-1-1-1-11111000033-3-3-1-1111-1-1111-1-1000000000000000000-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-11-1-110000
χ5933-3-3-333333-3-3-3-3-1-111-3-3331-1-1-1-1-111110000-3-33311-1-1-111-111-1-10000000000000000001111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-1-110000
χ6033-3-3-333333-3-3-3-3-1-111-3-3331-1-1-1-1-111110000-3-333-1-1111-1-1111-1-1000000000000000000-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-111-10000
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χ10412-1212i−12i00−3+35−3−353−353+35−6ζ7−6ζ23−6ζ43−6ζ476ζ7+6ζ23+6ζ43+6ζ47−6ζ11−6ζ19−6ζ31−6ζ596ζ11+6ζ19+6ζ31+6ζ59-44−4i4i0000001−5−1+51+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000
χ10512-12−12i12i00−3−35−3+353+353−356ζ11+6ζ19+6ζ31+6ζ59−6ζ11−6ζ19−6ζ31−6ζ596ζ7+6ζ23+6ζ43+6ζ47−6ζ7−6ζ23−6ζ43−6ζ47-444i−4i0000001+5−1−51−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000
χ10612-12−12i12i00−3+35−3−353−353+356ζ7+6ζ23+6ζ43+6ζ47−6ζ7−6ζ23−6ζ43−6ζ476ζ11+6ζ19+6ζ31+6ζ59−6ζ11−6ζ19−6ζ31−6ζ59-444i−4i0000001−5−1+51+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.