Finite Group Databasebeta

← Group #14306017

Character table — Group #14306017

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444555588888888888888888888881010101010101010101020202020202024243030303030303030303030303030303040404040404040404040404048484848120120
order122234444446665101010121212121212444415202020202020303030606060606060606060606060224444121212126612121212224444444444444444888824242424242424241010101044
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i1111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii1111-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-1-1-1-111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i-1-1-1-111
χ911111-1-1-1-111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-1
χ1011111-1-1-1-111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-11-1
χ1111111-1-1-1-111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11
χ1211111-1-1-1-111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111-11
χ1311111-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii11-1-1-11
χ1411111-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i11-1-1-11
χ1511111-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-1-1111-1
χ1611111-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-1-1111-1
χ172222222-2-2-2-22222222-2-222-2-222222-2-222-2-2222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000
χ182222222-2-2-2-22222222-2-222-2-2-2-2-2-22-2-222-2-2222-2-2-2-22222-2-2-2-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000
χ1922222-2-222-2-22222222-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-222000000000000000000000000000000000000
χ2022222-2-222-2-22222222-2-2-2-222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2000000000000000000000000000000000000
χ212222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1000000
χ222222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211111111000000
χ232222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111110000000000000000002i2i−2i−2i−i−i−i−iiiii000000
χ242222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111000000000000000000−2i−2i2i2iiiii−i−i−i−i000000
χ252222-122-2-2-2-2-1-1-1222211-1-1112222-1-2-222-2-2-1-1-11111-1-1-1-11111-2-222-2-2-1-1-1-111-1-1110000000000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ262222-122-2-2-2-2-1-1-1222211-1-1112222-1-2-222-2-2-1-1-11111-1-1-1-11111-2-222-2-2-1-1-1-111-1-1110000000000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ272222-122-2-2-2-2-1-1-1222211-1-111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-1111122-2-2221111-1-111-1-100000000000000000000003−33−3−33−33000000
χ282222-122-2-2-2-2-1-1-1222211-1-111-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-1111122-2-2221111-1-111-1-10000000000000000000000−33−333−33−3000000
χ292222-1-2-222-2-2-1-1-122221111-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-222-1-1-1-11111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i3000000
χ302222-1-2-222-2-2-1-1-122221111-1-12222-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-222-1-1-1-11111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i3000000
χ312222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-12222-2-21111-1-1-1-11100000000000000000000003−3−33−333−3000000
χ322222-1-2-222-2-2-1-1-122221111-1-1-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-12222-2-21111-1-1-1-1110000000000000000000000−333−33−3−33000000
χ332222-1-2-2-2-222-1-1-12222-1-111112222-122-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-111110000000000000000002-22-2-1-111-1-111000000
χ342222-1-2-2-2-222-1-1-12222-1-111112222-122-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-11111000000000000000000-22-2211-1-111-1-1000000
χ352222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-2-22222111111-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i000000
χ362222-1-2-2-2-222-1-1-12222-1-11111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-2-22222111111-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii000000
χ3722-2-22002-2002-2-222-2-200002-22i−2i2i−2i200002-22-2-20000000022-2-200002i−2i2i−2i2i−2i00002i−2i001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000000000
χ3822-2-22002-2002-2-222-2-200002-22i−2i2i−2i200002-22-2-20000000022-2-200002i−2i2i−2i2i−2i00002i−2i00−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000000000
χ3922-2-22002-2002-2-222-2-200002-2−2i2i−2i2i200002-22-2-20000000022-2-20000−2i2i−2i2i−2i2i0000−2i2i001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000000000
χ4022-2-22002-2002-2-222-2-200002-2−2i2i−2i2i200002-22-2-20000000022-2-20000−2i2i−2i2i−2i2i0000−2i2i00−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000000000000000
χ4122-2-2200-22002-2-222-2-20000-222i−2i2i−2i20000-222-2-200000000-2-2220000−2i2i2i−2i2i−2i0000−2i2i001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000
χ4222-2-2200-22002-2-222-2-20000-222i−2i2i−2i20000-222-2-200000000-2-2220000−2i2i2i−2i2i−2i0000−2i2i00−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000
χ4322-2-2200-22002-2-222-2-20000-22−2i2i−2i2i20000-222-2-200000000-2-22200002i−2i−2i2i−2i2i00002i−2i001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000000000000000
χ4422-2-2200-22002-2-222-2-20000-22−2i2i−2i2i20000-222-2-200000000-2-22200002i−2i−2i2i−2i2i00002i−2i00−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000000000000000
χ452-22-222-20000-22-22-22-2002-2002i−2i−2i2i2002-200-22-2000022-2-20000002i−2i002i−2i−2i2i002i−2i00001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000
χ462-22-222-20000-22-22-22-2002-2002i−2i−2i2i2002-200-22-2000022-2-20000002i−2i002i−2i−2i2i002i−2i0000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000
χ472-22-222-20000-22-22-22-2002-200−2i2i2i−2i2002-200-22-2000022-2-2000000−2i2i00−2i2i2i−2i00−2i2i00001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000
χ482-22-222-20000-22-22-22-2002-200−2i2i2i−2i2002-200-22-2000022-2-2000000−2i2i00−2i2i2i−2i00−2i2i0000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000
χ492-22-22-220000-22-22-22-200-22002i−2i−2i2i200-2200-22-20000-2-222000000−2i2i002i−2i−2i2i00−2i2i00001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000000000000000
χ502-22-22-220000-22-22-22-200-22002i−2i−2i2i200-2200-22-20000-2-222000000−2i2i002i−2i−2i2i00−2i2i0000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000000000000000
χ512-22-22-220000-22-22-22-200-2200−2i2i2i−2i200-2200-22-20000-2-2220000002i−2i00−2i2i2i−2i002i−2i00001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000000000000000
χ522-22-22-220000-22-22-22-200-2200−2i2i2i−2i200-2200-22-20000-2-2220000002i−2i00−2i2i2i−2i002i−2i0000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000000000
χ532-2-22200002-2-2-222-2-222-2000022-2-222-20000-2-2222-2-2000000002-2000022-2-22-200000000002i−2i−2i2i0000−2i2i2i−2i000000000000000000
χ542-2-22200002-2-2-222-2-222-2000022-2-222-20000-2-2222-2-2000000002-2000022-2-22-20000000000−2i2i2i−2i00002i−2i−2i2i000000000000000000
χ552-2-22200002-2-2-222-2-222-20000-2-22222-20000-2-2222-2-200000000-220000-2-222-2200000000002-2-2200002-2-22000000000000000000
χ562-2-22200002-2-2-222-2-222-20000-2-22222-20000-2-2222-2-200000000-220000-2-222-220000000000-222-20000-222-2000000000000000000
χ572-2-2220000-22-2-222-2-22-22000022-2-22-220000-2-22-2-22200000000-22000022-2-2-220000002i−2i−2i2i0000−2i2i2i−2i0000000000000000000000
χ582-2-2220000-22-2-222-2-22-22000022-2-22-220000-2-22-2-22200000000-22000022-2-2-22000000−2i2i2i−2i00002i−2i−2i2i0000000000000000000000
χ592-2-2220000-22-2-222-2-22-220000-2-2222-220000-2-22-2-222000000002-20000-2-2222-20000002-2-2200002-2-220000000000000000000000
χ602-2-2220000-22-2-222-2-22-220000-2-2222-220000-2-22-2-222000000002-20000-2-2222-2000000-222-20000-222-20000000000000000000000
χ6144444444444444-1-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000440000000000000000000000000000-1-1-1-100
χ6244444444444444-1-1-1-14444440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-4-40000000000000000000000000000111100
χ634444444-4-4-4-4444-1-1-1-1-4-444-4-40000-111-1-111-1-1-11111-1-1-1-111110000000000000000000000000000000000000000000000−55−5500
χ644444444-4-4-4-4444-1-1-1-1-4-444-4-40000-111-1-111-1-1-11111-1-1-1-1111100000000000000000000000000000000000000000000005−55−500
χ6544444-4-444-4-4444-1-1-1-1-4-4-4-4440000-11111-1-1-1-1-111111111-1-1-1-10000000000000000000000000000000000000000000000−555−500
χ6644444-4-444-4-4444-1-1-1-1-4-4-4-4440000-11111-1-1-1-1-111111111-1-1-1-100000000000000000000000000000000000000000000005−5−5500
χ6744444-4-4-4-444444-1-1-1-144-4-4-4-40000-1-1-11111-1-1-1-1-1-1-11111111100000000000000004-40000000000000000000000000000-1-11100
χ6844444-4-4-4-444444-1-1-1-144-4-4-4-40000-1-1-11111-1-1-1-1-1-1-1111111110000000000000000-44000000000000000000000000000011-1-100
χ6944-4-4-2004-400-22244-4-40000-224i−4i4i−4i-200004-4-22200000000-2-22200004i−4i−2i2i−2i2i0000−2i2i000000000000000000000000000000000000
χ7044-4-4-2004-400-22244-4-40000-22−4i4i−4i4i-200004-4-22200000000-2-2220000−4i4i2i−2i2i−2i00002i−2i000000000000000000000000000000000000
χ7144-4-4-200-4400-22244-4-400002-24i−4i4i−4i-20000-44-2220000000022-2-20000−4i4i−2i2i−2i2i00002i−2i000000000000000000000000000000000000
χ7244-4-4-200-4400-22244-4-400002-2−4i4i−4i4i-20000-44-2220000000022-2-200004i−4i2i−2i2i−2i0000−2i2i000000000000000000000000000000000000
χ734-44-4-24-400002-224-44-400-22004i−4i−4i4i-2004-4002-220000-2-2220000004i−4i00−2i2i2i−2i00−2i2i00000000000000000000000000000000000000
χ744-44-4-24-400002-224-44-400-2200−4i4i4i−4i-2004-4002-220000-2-222000000−4i4i002i−2i−2i2i002i−2i00000000000000000000000000000000000000
χ754-44-4-2-4400002-224-44-4002-2004i−4i−4i4i-200-44002-22000022-2-2000000−4i4i00−2i2i2i−2i002i−2i00000000000000000000000000000000000000
χ764-44-4-2-4400002-224-44-4002-200−4i4i4i−4i-200-44002-22000022-2-20000004i−4i002i−2i−2i2i00−2i2i00000000000000000000000000000000000000
χ774-4-44-200004-422-24-4-44-22000044-4-4-24-4000022-2-2-222000000004-40000-2-222-220000000000000000000000000000000000000000
χ784-4-44-200004-422-24-4-44-220000-4-444-24-4000022-2-2-22200000000-44000022-2-22-20000000000000000000000000000000000000000
χ794-4-44-20000-4422-24-4-442-2000044-4-4-2-44000022-222-2-200000000-440000-2-2222-20000000000000000000000000000000000000000
χ804-4-44-20000-4422-24-4-442-20000-4-444-2-44000022-222-2-2000000004-4000022-2-2-220000000000000000000000000000000000000000
χ818888-4888888-4-4-4-2-2-2-2-4-4-4-4-4-400001-2-2-2-2-2-21111111111111110000000000000000000000000000000000000000000000000000
χ828888-488-8-8-8-8-4-4-4-2-2-2-244-4-4440000122-2-222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000
χ838888-4-8-888-8-8-4-4-4-2-2-2-24444-4-4000012222-2-2111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000
χ848888-4-8-8-8-888-4-4-4-2-2-2-2-4-4444400001-2-222221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ8588-8-88008-8008-8-8-2-22200008-80000-20000-22-22200000000-2-2220000000000000000000000000000000000000000000000000000
χ8688-8-8800-88008-8-8-2-2220000-880000-200002-2-2220000000022-2-20000000000000000000000000000000000000000000000000000
χ8788-8-8-4008-800-444-2-2220000-44000010000-221-1-1−1515−1515−1515−151511-1-10000000000000000000000000000000000000000000000000000
χ8888-8-8-4008-800-444-2-2220000-44000010000-221-1-115−1515−1515−1515−1511-1-10000000000000000000000000000000000000000000000000000
χ8988-8-8-400-8800-444-2-22200004-40000100002-21-1-1−1515−151515−1515−15-1-1110000000000000000000000000000000000000000000000000000
χ9088-8-8-400-8800-444-2-22200004-40000100002-21-1-115−1515−15−1515−1515-1-1110000000000000000000000000000000000000000000000000000
χ918-88-888-80000-88-8-22-22008-8000000-200-22002-220000-2-22200000000000000000000000000000000000000000000000000000000
χ928-88-88-880000-88-8-22-2200-88000000-2002-2002-22000022-2-200000000000000000000000000000000000000000000000000000000
χ938-88-8-48-800004-44-22-2200-44000000100-2200-11-1−151515−1511-1-1−1515−15150000000000000000000000000000000000000000000000000000
χ948-88-8-48-800004-44-22-2200-44000000100-2200-11-115−15−151511-1-115−1515−150000000000000000000000000000000000000000000000000000
χ958-88-8-4-8800004-44-22-22004-40000001002-200-11-1−151515−15-1-11115−1515−150000000000000000000000000000000000000000000000000000
χ968-88-8-4-8800004-44-22-22004-40000001002-200-11-115−15−1515-1-111−1515−15150000000000000000000000000000000000000000000000000000
χ978-8-88800008-8-8-88-222-28-800000000-2-22000022-2-2-222000000000000000000000000000000000000000000000000000000000000
χ988-8-8880000-88-8-88-222-2-8800000000-22-2000022-222-2-2000000000000000000000000000000000000000000000000000000000000
χ998-8-88-400008-844-4-222-2-44000000001-220000-1-1111-1-1−151515−1515−15−15150000000000000000000000000000000000000000000000000000
χ1008-8-88-400008-844-4-222-2-44000000001-220000-1-1111-1-115−15−1515−151515−150000000000000000000000000000000000000000000000000000
χ1018-8-88-40000-8844-4-222-24-40000000012-20000-1-11-1-111−151515−15−151515−150000000000000000000000000000000000000000000000000000
χ1028-8-88-40000-8844-4-222-24-40000000012-20000-1-11-1-11115−15−151515−15−15150000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).