Finite Group Databasebeta

← Group #14301069

Character table — Group #14301069

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444444444555588888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020202024242424244848606060606060120120120
order12223446662256666101010121222221520203030304444446666121212121212121288101030303030606022444444666612121212121212121212121212122404040401010888888244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i1111111111-1-1i−iii−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111111-1-1ii−i−i-1i−i
χ61111111111111111111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-111111111-1-1i−iii−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-111−i−iii1−ii
χ71111111111111111111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii1111111111-1-1−ii−i−iii-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111-1-1−i−iii-1−ii
χ81111111111111111111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-111111111-1-1−ii−i−iii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-111ii−i−i1i−i
χ91111111111-1-11-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1
χ101111111111-1-11-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111
χ111111111111-1-11-1-1-1-11111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-11111-1-111-1-1-1-1-111
χ121111111111-1-11-1-1-1-11111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-111111-1-1
χ131111111111-1-11-1-1-1-111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-11111i−i−i−iii1111-1-1ii−i−i−i−i−i−iiiii-11111-1-1-1-1ii−i−i1−ii
χ141111111111-1-11-1-1-1-111111-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111i−i−i−iii1111-1-1ii−i−i−i−i−i−iiiii1-1-1-1-11111−i−iii-1i−i
χ151111111111-1-11-1-1-1-111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-11111−iiii−i−i1111-1-1−i−iiiiiii−i−i−i−i-11111-1-1-1-1−i−iii1i−i
χ161111111111-1-11-1-1-1-111111-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111−iiii−i−i1111-1-1−i−iiiiiii−i−i−i−i1-1-1-1-11111ii−i−i-1−ii
χ1722222-2-22220020000222-2-222222-2-2222-22222-222222222222200000000-2-200-2-200000000-2-2-2-2-2-2000000000000000000000000
χ1822222-2-22220020000222-2-222222-2-2222-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-2002200000000-2-22222000000000000000000000000
χ1922222-2-22220020000222-2-2-2-2-2-22-2-222222i2i−2i−2i2-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-200−2i2i0000000022−2i−2i2i2i000000000000000000000000
χ2022222-2-22220020000222-2-2-2-2-2-22-2-22222−2i−2i2i2i2-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2002i−2i00000000222i2i−2i−2i000000000000000000000000
χ212222-122-1-1-1222-1-1-1-1222-1-12222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-122-1-1-1222-1-1-1-1222-1-12222-122-1-1-12-2-2-2-22-1-1-1-1111111110022-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000
χ232222-122-1-1-1222-1-1-1-1222-1-1-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii0022-1-1-1-1-1-1-2-22i−2i2i2i−2i−2i111111−i−iii−i−i−i−iiiii0000000000000000
χ242222-122-1-1-1222-1-1-1-1222-1-1-2-2-2-2-122-1-1-1-2−2i−2i2i2i-21111iiii−i−i−i−i0022-1-1-1-1-1-1-2-2−2i2i−2i−2i2i2i111111ii−i−iiiii−i−i−i−i0000000000000000
χ252222-122-1-1-1-2-221111222-1-12222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-21111-1-1-2-222-2-2-2-21111-1-1-1-1-1-1111111110000000000000000
χ262222-122-1-1-1-2-221111222-1-12222-122-1-1-12-2-2-2-22-1-1-1-11111111100-2-21111-1-1-2-2-2-222221111-1-11111-1-1-1-1-1-1-1-10000000000000000
χ272222-122-1-1-1-2-221111222-1-1-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii00-2-21111-1-1222i−2i−2i−2i2i2i-1-1-1-111−i−iiiiiii−i−i−i−i0000000000000000
χ282222-122-1-1-1-2-221111222-1-1-2-2-2-2-122-1-1-1-2−2i−2i2i2i-21111iiii−i−i−i−i00-2-21111-1-122−2i2i2i2i−2i−2i-1-1-1-111ii−i−i−i−i−i−iiiii0000000000000000
χ292222-1-2-2-1-1-1002−i3−i3i3i3222112222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3i3i31100-2-20000−i3−i3i3i3111111−i3−i3i3i3−i3−i3i3i30000000000000000
χ302222-1-2-2-1-1-1002−i3−i3i3i3222112222-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000−i3−i3i3i31100220000−i3−i3i3i311-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
χ312222-1-2-2-1-1-1002−i3−i3i3i322211-2-2-2-2-1-2-2-1-1-122i2i−2i−2i21111−i−i−i−iiiii0000−i3−i3i3i31100−2i2i0000i3i3−i3−i3-1-1ii−i−i33−3−3−3−3330000000000000000
χ322222-1-2-2-1-1-1002−i3−i3i3i322211-2-2-2-2-1-2-2-1-1-12−2i−2i2i2i21111iiii−i−i−i−i0000−i3−i3i3i311002i−2i0000i3i3−i3−i3-1-1−i−iii−3−33333−3−30000000000000000
χ332222-1-2-2-1-1-1002i3i3−i3−i3222112222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-10000i3i3−i3−i31100-2-20000i3i3−i3−i3111111i3i3−i3−i3i3i3−i3−i30000000000000000
χ342222-1-2-2-1-1-1002i3i3−i3−i3222112222-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1111111110000i3i3−i3−i31100220000i3i3−i3−i311-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-1-2-2-1-1-1002i3i3−i3−i322211-2-2-2-2-1-2-2-1-1-122i2i−2i−2i21111−i−i−i−iiiii0000i3i3−i3−i31100−2i2i0000−i3−i3i3i3-1-1ii−i−i−3−33333−3−30000000000000000
χ362222-1-2-2-1-1-1002i3i3−i3−i322211-2-2-2-2-1-2-2-1-1-12−2i−2i2i2i21111iiii−i−i−i−i0000i3i3−i3−i311002i−2i0000−i3−i3i3i3-1-1−i−iii33−3−3−3−3330000000000000000
χ3722-2-22002-2-200200002-2-20022-2-22002-2-202i−2i2i−2i02-22-22i2i−2i−2i2i2i−2i−2i2−20000000000000000000000000000000000022−2−2002−2−i2i2−i2i2000
χ3822-2-22002-2-200200002-2-20022-2-22002-2-202i−2i2i−2i02-22-22i2i−2i−2i2i2i−2i−2i−2200000000000000000000000000000000000−2−22200−22i2−i2i2−i2000
χ3922-2-22002-2-200200002-2-20022-2-22002-2-20−2i2i−2i2i02-22-2−2i−2i2i2i−2i−2i2i2i2−20000000000000000000000000000000000022−2−2002−2i2−i2i2−i2000
χ4022-2-22002-2-200200002-2-20022-2-22002-2-20−2i2i−2i2i02-22-2−2i−2i2i2i−2i−2i2i2i−2200000000000000000000000000000000000−2−22200−22−i2i2−i2i2000
χ4122-2-22002-2-200200002-2-200-2-2222002-2-202-2-220-22-2222-2-2-2-2222−20000000000000000000000000000000000022−2−200−22−222−2000
χ4222-2-22002-2-200200002-2-200-2-2222002-2-202-2-220-22-2222-2-2-2-222−2200000000000000000000000000000000000−2−222002−22−2−22000
χ4322-2-22002-2-200200002-2-200-2-2222002-2-20-222-20-22-22-2-22222-2-22−20000000000000000000000000000000000022−2−200−222−2−22000
χ4422-2-22002-2-200200002-2-200-2-2222002-2-20-222-20-22-22-2-22222-2-2−2200000000000000000000000000000000000−2−222002−2−222−2000
χ452-2-2222-2-2-220020000-2-222-22-2-2222-2-2-2220000-222-2-200000000000000002-200002i−2i2i−2i00002-200002i−2i2i−2i2i−2i2i−2i0000000000000000
χ462-2-2222-2-2-220020000-2-222-22-2-2222-2-2-2220000-222-2-200000000000000002-20000−2i2i−2i2i00002-20000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ472-2-2222-2-2-220020000-2-222-2-222-222-2-2-22-200002-2-22200000000000000002-200002-2-220000-2200002-22-2-22-220000000000000000
χ482-2-2222-2-2-220020000-2-222-2-222-222-2-2-22-200002-2-22200000000000000002-20000-222-20000-220000-22-222-22-20000000000000000
χ492-2-222-22-2-222-222-22-2-2-22-222-2-222-22-2-22-20000222-2-200000000002-22-22-2-222-20000002-22-2-220000000000000000000000000000
χ502-2-222-22-2-222-222-22-2-2-22-22-222-22-22-2-2220000-2-2-22200000000002-22-22-2-22-22000000-22-222-20000000000000000000000000000
χ512-2-222-22-2-22-222-22-22-2-22-222-2-222-22-2-22-20000222-2-20000000000-22-22-22-22-22000000-22-22-220000000000000000000000000000
χ522-2-222-22-2-22-222-22-22-2-22-22-222-22-22-2-2220000-2-2-2220000000000-22-22-22-222-20000002-22-22-20000000000000000000000000000
χ532-2-22-12-211-1002−i3i3i3−i3-2-22-112-2-22-12-211-120000-2-1-1113−33−33−33−30000−i3i3i3−i3-1100002i−2i2i−2i−i3i3i3−i3-113−33−3−ii−ii−ii−ii0000000000000000
χ542-2-22-12-211-1002−i3i3i3−i3-2-22-112-2-22-12-211-120000-2-1-111−33−33−33−330000−i3i3i3−i3-110000−2i2i−2i2i−i3i3i3−i3-11−33−33i−ii−ii−ii−i0000000000000000
χ552-2-22-12-211-1002−i3i3i3−i3-2-22-11-222-2-12-211-1-20000211-1-1−i3i3−i3i3i3−i3i3−i30000−i3i3i3−i3-1100002-2-22i3−i3−i3i31-1−i3i3i3−i3-11-111-11-10000000000000000
χ562-2-22-12-211-1002−i3i3i3−i3-2-22-11-222-2-12-211-1-20000211-1-1i3−i3i3−i3−i3i3−i3i30000−i3i3i3−i3-110000-222-2i3−i3−i3i31-1i3−i3−i3i31-11-1-11-110000000000000000
χ572-2-22-12-211-1002i3−i3−i3i3-2-22-112-2-22-12-211-120000-2-1-1113−33−33−33−30000i3−i3−i3i3-110000−2i2i−2i2ii3−i3−i3i3-113−33−3i−ii−ii−ii−i0000000000000000
χ582-2-22-12-211-1002i3−i3−i3i3-2-22-112-2-22-12-211-120000-2-1-111−33−33−33−330000i3−i3−i3i3-1100002i−2i2i−2ii3−i3−i3i3-11−33−33−ii−ii−ii−ii0000000000000000
χ592-2-22-12-211-1002i3−i3−i3i3-2-22-11-222-2-12-211-1-20000211-1-1−i3i3−i3i3i3−i3i3−i30000i3−i3−i3i3-110000-222-2−i3i3i3−i31-1−i3i3i3−i31-11-1-11-110000000000000000
χ602-2-22-12-211-1002i3−i3−i3i3-2-22-11-222-2-12-211-1-20000211-1-1i3−i3i3−i3−i3i3−i3i30000i3−i3−i3i3-1100002-2-22−i3i3i3−i31-1i3−i3−i3i3-11-111-11-10000000000000000
χ612-2-22-1-2211-12-22-11-11-2-221-12-2-22-1-2211-1-200002-1-1113−33−33−33−3002-2-11-111-12-2000000-11-111-1−33−333−3−333−3−330000000000000000
χ622-2-22-1-2211-12-22-11-11-2-221-12-2-22-1-2211-1-200002-1-111−33−33−33−33002-2-11-111-12-2000000-11-111-13−33−3−333−3−333−30000000000000000
χ632-2-22-1-2211-12-22-11-11-2-221-1-222-2-1-2211-120000-211-1-1−i3i3−i3i3i3−i3i3−i3002-2-11-111-1-220000001-11-1-11i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ642-2-22-1-2211-12-22-11-11-2-221-1-222-2-1-2211-120000-211-1-1i3−i3i3−i3−i3i3−i3i3002-2-11-111-1-220000001-11-1-11−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ652-2-22-1-2211-1-2221-11-1-2-221-12-2-22-1-2211-1-200002-1-1113−33−33−33−300-221-11-11-1-220000001-11-11-1−33−33−333−3−333−30000000000000000
χ662-2-22-1-2211-1-2221-11-1-2-221-12-2-22-1-2211-1-200002-1-111−33−33−33−3300-221-11-11-1-220000001-11-11-13−33−33−3−333−3−330000000000000000
χ672-2-22-1-2211-1-2221-11-1-2-221-1-222-2-1-2211-120000-211-1-1−i3i3−i3i3i3−i3i3−i300-221-11-11-12-2000000-11-11-11i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
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χ948-88-8800-88-800-200002-22000000-2002-22000000000000000000000000000000000000000000000000000000010−10−101000000000000
χ958-88-8800-88-800-200002-22000000-2002-220000000000000000000000000000000000000000000000000000000−101010−1000000000000
χ968-8-8888-8-8-8800-2000022-28-80000-2-2222-200000000000000000000000000-22000000000000000000000000000000000000000000
χ978-8-88-48-844-400-2−4i34i34i3−4i322-2-4400001-22-1-110000000000000000000000i3−i3−i3i31-1000000000000000000000000000000000000000000
χ988-8-88-48-844-400-24i3−4i3−4i34i322-2-4400001-22-1-110000000000000000000000−i3i3i3−i31-1000000000000000000000000000000000000000000
χ998-8-88-4-8844-48-8-2-44-4422-24-4000012-2-1-1100000000000000000000-221-11-1-11000000000000000000000000000000000000000000
χ1008-8-88-4-8844-4-88-24-44-422-24-4000012-2-1-11000000000000000000002-2-11-11-11000000000000000000000000000000000000000000
χ1011616-16-16-800-88800-40000-4440000002002-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1616-16-8008-8800-400004-44000000200-22-20000000000000000000000000000000000000000000000000000000000000000000000

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