Finite Group Databasebeta

← Group #11752748

Character table — Group #11752748

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444444444444444444444444444444441010101012121212202020202020202020202424242424242424303030306060
order1222344445566610101010101012121212412121212151520202020202020202020202030303030303060606060606060606060606060606060606060606060606022442244246666121212121010101020202020222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-111-1-11111-1-1-1-11111-1-1
χ61111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-1-1-111111111-1-1
χ911111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-11111-1-111-1-111-1-11-1
χ1011111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-111-1-111-1-111-1-111-11
χ1111111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-111-1-1-1-111-11
χ1211111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-1-11111-1-11-1
χ1311111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-111-11111-1-1-1-111-1-1-1-11111-1-1-11
χ1411111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-11-11111-1-1-1-1-1-11111-1-1-1-1111-1
χ1511111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11-11-1-1-1-1111111-1-1-1-111-1-1111-1
χ1611111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-11-1-1-1-11111-1-11111-1-111-1-1-11
χ17222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ18222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-200000000001+521−521+521−521+521−521+521−52000000
χ19222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ20222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-200000000001−521+521−521+521−521+521−521+52000000
χ212222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+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+521−521−521−521−52000022-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ222222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+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+521−521−521−521−520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ232222222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52000022-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ242222222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+520000-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ2522222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200002-22-20000000000−1−52−1+521+521−52−1−52−1+521+521−52000000
χ2622222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-22-2200000000001+521−52−1−52−1+521+521−52−1−52−1+52000000
χ2722222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200002-22-20000000000−1+52−1−521−521+52−1+52−1−521−521+52000000
χ2822222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-22-2200000000001−521+52−1+52−1−521−521+52−1+52−1−52000000
χ2922222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ3022222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ3122222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ3222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ332222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-100000000000000
χ342222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111111100000000000000
χ352222-122-2-222-1-1-1222222-1-1-1-1-21111-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-20000-22-1-111-1-11100000000000000
χ362222-122-2-222-1-1-1222222-1-1-1-1-21111-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22200002-211-1-111-1-100000000000000
χ372222-1-2-22222-1-1-12222221111-2-1-111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122220000-2-2-1-11111-1-100000000000000
χ382222-1-2-22222-1-1-12222221111-2-1-111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-2-2-200002211-1-1-1-11100000000000000
χ392222-1-2-2-2-222-1-1-12222221111211-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-200002-2-1-1-1-1111100000000000000
χ402222-1-2-2-2-222-1-1-12222221111211-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2220000-221111-1-1-1-100000000000000
χ4122-2-22002i−2i222-2-22-22-2-2-2000002i−2i00222i−2i2i−2i000000002-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i000000002-22i−2i0000002-200002i−2i00000000000000
χ4222-2-22002i−2i222-2-22-22-2-2-2000002i−2i00222i−2i2i−2i000000002-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i00000000-22−2i2i000000-220000−2i2i00000000000000
χ4322-2-2200−2i2i222-2-22-22-2-2-200000−2i2i0022−2i2i−2i2i000000002-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i0000002-20000−2i2i00000000000000
χ4422-2-2200−2i2i222-2-22-22-2-2-200000−2i2i0022−2i2i−2i2i000000002-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i00000000-222i−2i000000-2200002i−2i00000000000000
χ4522-2-2-1002i−2i22-1112-22-2-2-233−3−30−ii−i3i3-1-12i−2i2i−2i00000000-111-11133−3−333−3−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i32-22i−2i000000-11−i3i33−3−ii00000000000000
χ4622-2-2-1002i−2i22-1112-22-2-2-233−3−30−ii−i3i3-1-12i−2i2i−2i00000000-111-11133−3−333−3−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3-22−2i2i0000001-1i3−i3−33i−i00000000000000
χ4722-2-2-1002i−2i22-1112-22-2-2-2−3−3330−iii3−i3-1-12i−2i2i−2i00000000-111-111−3−333−3−333−i−iii−i−iiii3i3−i3−i3i3i3−i3−i32-22i−2i000000-11i3−i3−33−ii00000000000000
χ4822-2-2-1002i−2i22-1112-22-2-2-2−3−3330−iii3−i3-1-12i−2i2i−2i00000000-111-111−3−333−3−333−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3-22−2i2i0000001-1−i3i33−3i−i00000000000000
χ4922-2-2-100−2i2i22-1112-22-2-2-233−3−30i−ii3−i3-1-1−2i2i−2i2i00000000-111-11133−3−333−3−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i32-2−2i2i000000-11i3−i33−3i−i00000000000000
χ5022-2-2-100−2i2i22-1112-22-2-2-233−3−30i−ii3−i3-1-1−2i2i−2i2i00000000-111-11133−3−333−3−3ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3-222i−2i0000001-1−i3i3−33−ii00000000000000
χ5122-2-2-100−2i2i22-1112-22-2-2-2−3−3330i−i−i3i3-1-1−2i2i−2i2i00000000-111-111−3−333−3−333ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i32-2−2i2i000000-11−i3i3−33i−i00000000000000
χ5222-2-2-100−2i2i22-1112-22-2-2-2−3−3330i−i−i3i3-1-1−2i2i−2i2i00000000-111-111−3−333−3−333ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3-222i−2i0000001-1i3−i33−3−ii00000000000000
χ532-22-222-20022-2-22-2-2-2-2222-22-20000022000000002-22-2-22-2-22-22-22-22-22-20000000000000000000000000000000000000000002-22-200
χ542-22-222-20022-2-22-2-2-2-2222-22-20000022000000002-22-2-22-2-22-22-22-22-22-2000000000000000000000000000000000000000000-22-2200
χ552-22-22-220022-2-22-2-2-2-222-22-22000002200000000-22-22-22-2-22-2-22-22-22-220000000000000000000000000000000000000000002-2-2200
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.