Finite Group Databasebeta

← Group #14416306

Character table — Group #14416306

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444445555888888888888888888888810101010101010101010121212121515151515151515202020202020202020202020202030303030303030303030303040404040404040404848484860606060
order12442346888812125610122020242424242244101520303030404040406060606012012012012012012012012024668888121222444444444444444444612242424244444888888881212121212121212101020202244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111
χ911111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-11-11-11-1
χ1011111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-11-11-1
χ1111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-11-11-11-11
χ1211111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11-11-11
χ1311111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1iiii−i−i−i−iii−i−i−i−iii-1-11111ii−i−i−i−i−i−iiiiiii−i−i−i−iii1-11-1-11-11
χ1411111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1−i−i−i−iiiii−i−iiiii−i−i-1-11111−i−iiiiiii−i−i−i−i−i−iiiii−i−i1-11-1-11-11
χ1511111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11iiii−i−i−i−i−i−iiiii−i−i-1-11111ii−i−i−i−i−i−iiiii−i−iiiii−i−i-11-111-11-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11−i−i−i−iiiiiii−i−i−i−iii-1-11111−i−iiiiiii−i−i−i−iii−i−i−i−iii-11-111-11-1
χ1711-1-1-111111-1-1-1-11-111-1-111-1-111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-111111-1-1-1-111-1-111-1-111-1-11-11-11-11-1-1111-1-11-11-111-1-111-1-11-11-11-11-111-1-111-1-1
χ1811-1-1-111111-1-1-1-11-111-1-111-1-111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-111-11-11-11-11-1111-1-1-11-11-1-111-1-111-11-11-11-1111-1-111-1-1
χ1911-1-1-111111-1-1-1-11-111-1-111-1-111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1-11-11-11-11-1111-1-11-11-111-1-111-1-1-11-11-11-11-1-111-1-111
χ2011-1-1-111111-1-1-1-11-111-1-111-1-111-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1111-11-11-11-1-1111-1-1-11-11-1-111-1-1111-11-11-11-1-1-111-1-111
χ2111-1-1-111111-1-1-1-11-111-1-111-1-1-1-111-111-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-1-1111111-1-1ii−i−i−i−iiii−ii−i−ii−ii1-1-1-111i−i−iiii−i−i−i−iiii−ii−i−ii−ii11-1-1-1-111
χ2211-1-1-111111-1-1-1-11-111-1-111-1-1-1-111-111-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-1-1111111-1-1−i−iiiii−i−i−ii−iii−ii−i1-1-1-111−iii−i−i−iiiii−i−i−ii−iii−ii−i11-1-1-1-111
χ2311-1-1-111111-1-1-1-11-111-1-111-1-1-1-111-111-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-111ii−i−i−i−iii−ii−iii−ii−i1-1-1-111i−i−iiii−i−i−i−iii−ii−iii−ii−i-1-11111-1-1
χ2411-1-1-111111-1-1-1-11-111-1-111-1-1-1-111-111-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-111−i−iiiii−i−ii−ii−i−ii−ii1-1-1-111−iii−i−i−iiiii−i−ii−ii−i−ii−ii-1-11111-1-1
χ2511-1-1-1111-1-111-1-11-111-1-1-1-11111-1-1-111-1-11-1-111-1-111-1-1-1-11111-1111-1-111-1-11-1-1111-1-111-1-11-1-111-1-11-11-1-1111-11-1-1-111-1-1111-1-111-1-111-1-111-1-11
χ2611-1-1-1111-1-111-1-11-111-1-1-1-11111-1-1-111-1-11-1-111-1-111-1-1-1-11111-1111-1-111-1-11-1-11-1-111-1-111-111-1-111-1-11-1-111-11-1111-1-111-1-1-111-1-111-11-1-111-1-11
χ2711-1-1-1111-1-111-1-11-111-1-1-1-11111-1-1-111-1-11-1-111-1-111-1-1-1-11111-1111-1-111-1-1-111-111-1-111-1-1-111-1-111-1-11-1-1111-11-1-1-111-1-111-111-1-111-1-111-1-111-1
χ2811-1-1-1111-1-111-1-11-111-1-1-1-11111-1-1-111-1-11-1-111-1-111-1-1-1-11111-1111-1-111-1-1-111-1-1-111-1-1111-1-111-1-11-11-1-111-11-1111-1-111-1-11-1-111-1-11-111-1-111-1
χ2911-1-1-1111-1-111-1-11-111-1-1-1-111-1-111-111-1-11-1-111-1-111-1-1-1-111111-1-1-111-1-1111-1-11ii−i−i−i−iiii−i−ii−iii−i1-111-1-1i−i−ii−i−iiiii−i−ii−i−ii−iii−i1-1-11-111-1
χ3011-1-1-1111-1-111-1-11-111-1-1-1-111-1-111-111-1-11-1-111-1-111-1-1-1-111111-1-1-111-1-1111-1-11−i−iiiii−i−i−iii−ii−i−ii1-111-1-1−iii−iii−i−i−i−iii−iii−ii−i−ii1-1-11-111-1
χ3111-1-1-1111-1-111-1-11-111-1-1-1-111-1-111-111-1-11-1-111-1-111-1-1-1-111111-1-1-111-1-111-111-1ii−i−i−i−iii−iii−ii−i−ii1-111-1-1i−i−ii−i−iiiii−i−i−iii−ii−i−ii-111-11-1-11
χ3211-1-1-1111-1-111-1-11-111-1-1-1-111-1-111-111-1-11-1-111-1-111-1-1-1-111111-1-1-111-1-111-111-1−i−iiiii−i−ii−i−ii−iii−i1-111-1-1−iii−iii−i−i−i−iiii−i−ii−iii−i-111-11-1-11
χ3322222-12-12222-1-12-12-122-1-1-1-122222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-100000000000022222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000
χ3422222-12-12222-1-12-12-122-1-1-1-122222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111111100000000
χ3522222-12-12222-1-12-12-122-1-1-1-1-2-2-2-22-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-2110000000000002i2i2i2i−2i−2i−2i−2i111111000000000000−i−i−i−iiiii00000000
χ3622222-12-12222-1-12-12-122-1-1-1-1-2-2-2-22-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211000000000000−2i−2i−2i−2i2i2i2i2i111111000000000000iiii−i−i−i−i00000000
χ3722222-12-1-2-2-2-2-1-12-12-122111122222-12-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-2-2-2-2-1-100000000000022-2-222-2-2-1-11111000000000000-1-111-1-11100000000
χ3822222-12-1-2-2-2-2-1-12-12-122111122222-12-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-2-2-2-2-1-1000000000000-2-222-2-222-1-1111100000000000011-1-111-1-100000000
χ3922222-12-1-2-2-2-2-1-12-12-1221111-2-2-2-22-12-1-1-1-2-2-2-2-1-1-1-111111111-2-2112222110000000000002i2i−2i−2i−2i−2i2i2i11-1-1-1-1000000000000−i−iiiii−i−i00000000
χ4022222-12-1-2-2-2-2-1-12-12-1221111-2-2-2-22-12-1-1-1-2-2-2-2-1-1-1-111111111-2-211222211000000000000−2i−2i2i2i2i2i−2i−2i11-1-1-1-1000000000000ii−i−i−i−iii00000000
χ412222-22-220000222-22-22200002222-22-2-2-22000022-2-200000000-2-22200002200002222222200000000-2-20000-2-2-2-2000000000000000000000000
χ422222-22-220000222-22-22200002222-22-2-2-22000022-2-200000000-2-2220000220000-2-2-2-2-2-2-2-200000000-2-200002222000000000000000000000000
χ432222-22-220000222-22-2220000-2-2-2-2-22-2-2-22000022-2-20000000022-2-20000-2-200002i2i2i2i−2i−2i−2i−2i00000000220000−2i−2i2i2i000000000000000000000000
χ442222-22-220000222-22-2220000-2-2-2-2-22-2-2-22000022-2-20000000022-2-20000-2-20000−2i−2i−2i−2i2i2i2i2i000000002200002i2i−2i−2i000000000000000000000000
χ4522-2-222-220000-2-2222-2-2-2000022-2-222-22220000-2-2-2-2000000002-2220000-2-2000022-2-222-2-2000000002-20000-22-22000000000000000000000000
χ4622-2-222-220000-2-2222-2-2-2000022-2-222-22220000-2-2-2-2000000002-2220000-2-20000-2-222-2-222000000002-200002-22-2000000000000000000000000
χ4722-2-222-220000-2-2222-2-2-20000-2-22222-22220000-2-2-2-200000000-22-2-200002200002i2i−2i−2i−2i−2i2i2i00000000-220000−2i2i2i−2i000000000000000000000000
χ4822-2-222-220000-2-2222-2-2-20000-2-22222-22220000-2-2-2-200000000-22-2-20000220000−2i−2i2i2i2i2i−2i−2i00000000-2200002i−2i−2i2i000000000000000000000000
χ4922-2-2-2-12-122-2-211212-1-2-2-1-11122-2-2-2-1211-122-2-211-1-1-1-1-1-11111-22-1-122-2-2110000000000002-22-22-22-21-1-1-111000000000000-11-11-11-1100000000
χ5022-2-2-2-12-122-2-211212-1-2-2-1-11122-2-2-2-1211-122-2-211-1-1-1-1-1-11111-22-1-122-2-211000000000000-22-22-22-221-1-1-1110000000000001-11-11-11-100000000
χ5122-2-2-2-12-122-2-211212-1-2-2-1-111-2-222-2-1211-122-2-211-1-1-1-1-1-111112-211-2-222-1-10000000000002i−2i2i−2i−2i2i−2i2i-1111-1-1000000000000−ii−iii−ii−i00000000
χ5222-2-2-2-12-122-2-211212-1-2-2-1-111-2-222-2-1211-122-2-211-1-1-1-1-1-111112-211-2-222-1-1000000000000−2i2i−2i2i2i−2i2i−2i-1111-1-1000000000000i−ii−i−ii−ii00000000
χ5322-2-2-2-12-1-2-22211212-1-2-211-1-122-2-2-2-1211-1-2-22211-1-11111-1-1-1-1-22-1-1-2-222110000000000002-2-222-2-221-111-1-1000000000000-111-1-111-100000000
χ5422-2-2-2-12-1-2-22211212-1-2-211-1-122-2-2-2-1211-1-2-22211-1-11111-1-1-1-1-22-1-1-2-22211000000000000-222-2-222-21-111-1-10000000000001-1-111-1-1100000000
χ5522-2-2-2-12-1-2-22211212-1-2-211-1-1-2-222-2-1211-1-2-22211-1-11111-1-1-1-12-21122-2-2-1-10000000000002i−2i−2i2i−2i2i2i−2i-11-1-111000000000000−iii−ii−i−ii00000000
χ5622-2-2-2-12-1-2-22211212-1-2-211-1-1-2-222-2-1211-1-2-22211-1-11111-1-1-1-12-21122-2-2-1-1000000000000−2i2i2i−2i2i−2i−2i2i-11-1-111000000000000i−i−ii−iii−i00000000
χ572-22i−2i020-22−2−i2i22i−2i20-202i−2i2−2−i2i22-22i−2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i2002-22−2−i2i22i−2i00002-22i−2i2-22i−2i00000000002−2−i2i200002−2−i2i22−2−i2i20000000000000000
χ582-22i−2i020-22−2−i2i22i−2i20-202i−2i2−2−i2i22-22i−2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i2002-22−2−i2i22i−2i0000-22−2i2i-22−2i2i00000000002−2−i2i20000−22i2−i2−22i2−i20000000000000000
χ592-22i−2i020-22−2−i2i22i−2i20-202i−2i2−2−i2i2-22−2i2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i200-22−22i2−i2−2i2i00002i−2i-22−2i2i2-20000000000−22i2−i20000i2−i22−2−i2i2−220000000000000000
χ602-22i−2i020-22−2−i2i22i−2i20-202i−2i2−2−i2i2-22−2i2i02000-22−2−i2i22i−2i0022−2−2−i2−i2i2i200-22−22i2−i2−2i2i0000−2i2i2-22i−2i-220000000000−22i2−i20000−i2i2−22i2−i22−20000000000000000
χ612-22i−2i020-2−22i2−i22i−2i20-202i−2i−22i2−i22-22i−2i02000-2−22i2−i22i−2i00−2−222i2i2−i2−i2002-2−22i2−i22i−2i00002-22i−2i2-22i−2i0000000000−22i2−i20000−22i2−i2−22i2−i20000000000000000
χ622-22i−2i020-2−22i2−i22i−2i20-202i−2i−22i2−i22-22i−2i02000-2−22i2−i22i−2i00−2−222i2i2−i2−i2002-2−22i2−i22i−2i0000-22−2i2i-22−2i2i0000000000−22i2−i200002−2−i2i22−2−i2i20000000000000000
χ632-22i−2i020-2−22i2−i22i−2i20-202i−2i−22i2−i2-22−2i2i02000-2−22i2−i22i−2i00−2−222i2i2−i2−i200-222−2−i2i2−2i2i00002i−2i-22−2i2i2-200000000002−2−i2i20000−i2i2−22i2−i22−20000000000000000
χ642-22i−2i020-2−22i2−i22i−2i20-202i−2i−22i2−i2-22−2i2i02000-2−22i2−i22i−2i00−2−222i2i2−i2−i200-222−2−i2i2−2i2i0000−2i2i2-22i−2i-2200000000002−2−i2i20000i2−i22−2−i2i2−220000000000000000
χ652-2−2i2i020-22−2i2−i2−2i2i20-20−2i2i2−2i2−i22-2−2i2i02000-22−2i2−i2−2i2i0022−2−2i2i2−i2−i2002-22−2i2−i2−2i2i00002-2−2i2i2-2−2i2i00000000002−2i2−i200002−2i2−i22−2i2−i20000000000000000
χ662-2−2i2i020-22−2i2−i2−2i2i20-20−2i2i2−2i2−i22-2−2i2i02000-22−2i2−i2−2i2i0022−2−2i2i2−i2−i2002-22−2i2−i2−2i2i0000-222i−2i-222i−2i00000000002−2i2−i20000−22−i2i2−22−i2i20000000000000000
χ672-2−2i2i020-22−2i2−i2−2i2i20-20−2i2i2−2i2−i2-222i−2i02000-22−2i2−i2−2i2i0022−2−2i2i2−i2−i200-22−22−i2i22i−2i00002i−2i2-2−2i2i-220000000000−22−i2i20000i2−i2−22−i2i22−20000000000000000
χ682-2−2i2i020-22−2i2−i2−2i2i20-20−2i2i2−2i2−i2-222i−2i02000-22−2i2−i2−2i2i0022−2−2i2i2−i2−i200-22−22−i2i22i−2i0000−2i2i-222i−2i2-20000000000−22−i2i20000−i2i22−2i2−i2−220000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.