Finite Group Databasebeta

← Group #14300207

Character table — Group #14300207

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444444444555588888810101010101010101010101010101010101012121616161616161616202020202020202020202020202020202020202020202020202024242424244848606060606060120120120
order1222344666445101010121212121212222215202030303044444466661212121212121212882020606060606060444444441212121212121212121212121212121212124404040402020888888444
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−i1111111111-1-1iii−i−i−i-1-1-1-1-1-1iiiiii−i−i−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-1-111111111-1-1iii−i−i−i-1-1-1-1-1-1iiiiii−i−i−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−i−i−iiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111111-1-1−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−i−i−iiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-111ii−i−i1i−i
χ91111111111-1-1111111-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1111111-1-1-1
χ101111111111-1-1111111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111
χ111111111111-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-11111-11111-1-111-1-1-1-1-111
χ121111111111-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111111-1-1-1-111-1-111111-1-1
χ131111111111-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111i−i−i−iii-1-11111ii−i−i−i−i−i−iiiii-11111-1-1-1-1ii−i−i1−ii
χ141111111111-1-1111111-1-1-1-1-1-1-1-1111111-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-111i−i−i−iii-1-11111ii−i−i−i−i−i−iiiii1-1-1-1-11111−i−iii-1i−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111−iiii−i−i-1-11111−i−iiiiiii−i−i−i−i-11111-1-1-1-1−i−iii1i−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1111111-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-111−iiii−i−i-1-11111−i−iiiiiii−i−i−i−i1-1-1-1-11111ii−i−i-1−ii
χ1722222-2-2222002222-2-2000022222-2-2222-22222-22222222222220000-2-2000000-200-200-2-20000-2-20000-2-200000000000000000000
χ1822222-2-2222002222-2-2000022222-2-2222-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2000000200200-2-200002200002200000000000000000000
χ1922222-2-2222002222-2-20000-2-2-2-22-2-222222i2i−2i−2i2-2-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2000000−2i002i00220000−2i−2i00002i2i00000000000000000000
χ2022222-2-2222002222-2-20000-2-2-2-22-2-22222−2i−2i2i2i2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-20000002i00−2i002200002i2i0000−2i−2i00000000000000000000
χ212222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-122-1-1-1222222-1-1-1-1-1-12222-122-1-1-12-2-2-2-22-1-1-1-1111111110022-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii0022-1-1-1-1-1-1-2-22i2i2i−2i−2i−2i111111−i−i−i−i−i−iiiiiii0000000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-2-122-1-1-1-2−2i−2i2i2i-21111iiii−i−i−i−i0022-1-1-1-1-1-1-2-2−2i−2i−2i2i2i2i111111iiiiii−i−i−i−i−i−i0000000000000000
χ252222-122-1-1-1-2-22222-1-111112222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-1-11111-2-22-2-22-2-2-1-11111-1-11111-1-111110000000000000000
χ262222-122-1-1-1-2-22222-1-111112222-122-1-1-12-2-2-2-22-1-1-1-11111111100-2-2-1-11111-2-2-222-222-1-1111111-1-1-1-111-1-1-1-10000000000000000
χ272222-122-1-1-1-2-22222-1-11111-2-2-2-2-122-1-1-1-22i2i−2i−2i-21111−i−i−i−iiiii00-2-2-1-11111222i−2i−2i−2i2i2i11-1-1-1-1−i−iiiiiii−i−i−i−i0000000000000000
χ282222-122-1-1-1-2-22222-1-11111-2-2-2-2-122-1-1-1-2−2i−2i2i2i-21111iiii−i−i−i−i00-2-2-1-1111122−2i2i2i2i−2i−2i11-1-1-1-1ii−i−i−i−i−i−iiiii0000000000000000
χ292222-1-2-2-1-1-100222211−i3−i3i3i32222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-1000011−i3−i3i3i300-200-20011−i3−i3i3i311−i3−i3i3i311−i3−i3i3i30000000000000000
χ302222-1-2-2-1-1-100222211−i3−i3i3i32222-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-111111111000011−i3−i3i3i30020020011−i3−i3i3i3-1-1i3i3−i3−i3-1-1i3i3−i3−i30000000000000000
χ312222-1-2-2-1-1-100222211−i3−i3i3i3-2-2-2-2-1-2-2-1-1-122i2i−2i−2i21111−i−i−i−iiiii000011−i3−i3i3i300−2i002i00-1-1i3i3−i3−i3ii33−3−3−i−i−3−3330000000000000000
χ322222-1-2-2-1-1-100222211−i3−i3i3i3-2-2-2-2-1-2-2-1-1-12−2i−2i2i2i21111iiii−i−i−i−i000011−i3−i3i3i3002i00−2i00-1-1i3i3−i3−i3−i−i−3−333ii33−3−30000000000000000
χ332222-1-2-2-1-1-100222211i3i3−i3−i32222-1-2-2-1-1-1-22222-2-1-1-1-1-1-1-1-1-1-1-1-1000011i3i3−i3−i300-200-20011i3i3−i3−i311i3i3−i3−i311i3i3−i3−i30000000000000000
χ342222-1-2-2-1-1-100222211i3i3−i3−i32222-1-2-2-1-1-1-2-2-2-2-2-2-1-1-1-111111111000011i3i3−i3−i30020020011i3i3−i3−i3-1-1−i3−i3i3i3-1-1−i3−i3i3i30000000000000000
χ352222-1-2-2-1-1-100222211i3i3−i3−i3-2-2-2-2-1-2-2-1-1-122i2i−2i−2i21111−i−i−i−iiiii000011i3i3−i3−i300−2i002i00-1-1−i3−i3i3i3ii−3−333−i−i33−3−30000000000000000
χ362222-1-2-2-1-1-100222211i3i3−i3−i3-2-2-2-2-1-2-2-1-1-12−2i−2i2i2i21111iiii−i−i−i−i000011i3i3−i3−i3002i00−2i00-1-1−i3−i3i3i3−i−i33−3−3ii−3−3330000000000000000
χ372-22-222-2-2-222-22-22-22-22-22-222-2-222-2-2-2220000-222-2-200000000002-22-22-22-22-20000002-22-22-20000000000000000000000000000
χ382-22-222-2-2-222-22-22-22-22-22-2-2-22222-2-2-22-200002-2-22200000000002-22-22-22-2-22000000-22-22-220000000000000000000000000000
χ392-22-222-2-2-22-222-22-22-2-22-2222-2-222-2-2-2220000-222-2-20000000000-222-2-22-22-220000002-2-22-220000000000000000000000000000
χ402-22-222-2-2-22-222-22-22-2-22-22-2-22222-2-2-22-200002-2-2220000000000-222-2-22-222-2000000-222-22-20000000000000000000000000000
χ412-22-22-22-2-22002-22-2-22000022-2-22-22-2-22-20000222-2-2000000000000-2200000002i−2i02i−2i-220000002i−2i2i−2i002i−2i2i−2i0000000000000000
χ422-22-22-22-2-22002-22-2-22000022-2-22-22-2-22-20000222-2-2000000000000-220000000−2i2i0−2i2i-22000000−2i2i−2i2i00−2i2i−2i2i0000000000000000
χ432-22-22-22-2-22002-22-2-220000-2-2222-22-2-2220000-2-2-222000000000000-2200000002-20-222-20000002-22-200-22-220000000000000000
χ442-22-22-22-2-22002-22-2-220000-2-2222-22-2-2220000-2-2-222000000000000-220000000-2202-22-2000000-22-22002-22-20000000000000000
χ452-22-2-12-211-12-22-22-2-11-11-1122-2-2-12-211-120000-2-1-11133−3−333−3−3002-2-11-11-112-2000000-11-11-113−33−3−333−33−3−330000000000000000
χ462-22-2-12-211-12-22-22-2-11-11-1122-2-2-12-211-120000-2-1-111−3−333−3−333002-2-11-11-112-2000000-11-11-11−33−333−3−33−333−30000000000000000
χ472-22-2-12-211-12-22-22-2-11-11-11-2-222-12-211-1-20000211-1-1−i3−i3i3i3i3i3−i3−i3002-2-11-11-11-220000001-11-11-1−i3i3−i3i3i3−i3i3−i3i3−i3−i3i30000000000000000
χ482-22-2-12-211-12-22-22-2-11-11-11-2-222-12-211-1-20000211-1-1i3i3−i3−i3−i3−i3i3i3002-2-11-11-11-220000001-11-11-1i3−i3i3−i3−i3i3−i3i3−i3i3i3−i30000000000000000
χ492-22-2-12-211-1-222-22-2-111-11-122-2-2-12-211-120000-2-1-11133−3−333−3−300-22-111-11-1-22000000-111-11-13−3−333−33−3−333−30000000000000000
χ502-22-2-12-211-1-222-22-2-111-11-122-2-2-12-211-120000-2-1-111−3−333−3−33300-22-111-11-1-22000000-111-11-1−333−3−33−333−3−330000000000000000
χ512-22-2-12-211-1-222-22-2-111-11-1-2-222-12-211-1-20000211-1-1−i3−i3i3i3i3i3−i3−i300-22-111-11-12-20000001-1-11-11−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ522-22-2-12-211-1-222-22-2-111-11-1-2-222-12-211-1-20000211-1-1i3i3−i3−i3−i3−i3i3i300-22-111-11-12-20000001-1-11-11i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ532-22-2-1-2211-1002-22-21-1−i3i3i3−i322-2-2-1-2211-1-200002-1-11133−3−333−3−300001-1−i3i3i3−i30002i−2i02i−2i1-1−i3i3i3−i3−33−ii−ii−33−ii−ii0000000000000000
χ542-22-2-1-2211-1002-22-21-1−i3i3i3−i322-2-2-1-2211-1-200002-1-111−3−333−3−33300001-1−i3i3i3−i3000−2i2i0−2i2i1-1−i3i3i3−i33−3i−ii−i3−3i−ii−i0000000000000000
χ552-22-2-1-2211-1002-22-21-1−i3i3i3−i3-2-222-1-2211-120000-211-1-1−i3−i3i3i3i3i3−i3−i300001-1−i3i3i3−i30002-20-22-11i3−i3−i3i3i3−i3-11-11−i3i31-11-10000000000000000
χ562-22-2-1-2211-1002-22-21-1−i3i3i3−i3-2-222-1-2211-120000-211-1-1i3i3−i3−i3−i3−i3i3i300001-1−i3i3i3−i3000-2202-2-11i3−i3−i3i3−i3i31-11-1i3−i3-11-110000000000000000
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χ592-22-2-1-2211-1002-22-21-1i3−i3−i3i3-2-222-1-2211-120000-211-1-1−i3−i3i3i3i3i3−i3−i300001-1i3−i3−i3i3000-2202-2-11−i3i3i3−i3i3−i31-11-1−i3i3-11-110000000000000000
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χ622-2-222002-2-2002-2-220000002-22-22002-2-202i−2i2i−2i02-2-222i−2i2i−2i2i−2i2i−2ii2−i200000000000000000000000000000000000i2i2−i2−i200i2−i2−22−22000
χ632-2-222002-2-2002-2-220000002-22-22002-2-20−2i2i−2i2i02-2-22−2i2i−2i2i−2i2i−2i2i−i2i200000000000000000000000000000000000−i2−i2i2i200−i2i2−22−22000
χ642-2-222002-2-2002-2-220000002-22-22002-2-20−2i2i−2i2i02-2-22−2i2i−2i2i−2i2i−2i2ii2−i200000000000000000000000000000000000i2i2−i2−i200i2−i22−22−2000
χ652-2-222002-2-2002-2-22000000-22-222002-2-202-2-220-222-22-22-2-22-22−i2i200000000000000000000000000000000000−i2−i2i2i200i2−i2−i2i2i2−i2000
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χ908888-4-8-8-4-4-400-2-2-2-244−4i3−4i34i34i300001221110000000000000000000000-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ918888-4-8-8-4-4-400-2-2-2-2444i34i3−4i3−4i300001221110000000000000000000000-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ9288-8-8800-88-800-2-2220000000000-2002-22000000000000000000000000000000000000000000000000000000010−10−101000000000000
χ9388-8-8800-88-800-2-2220000000000-2002-220000000000000000000000000000000000000000000000000000000−101010−1000000000000
χ948-88-88-88-8-8800-22-22-8800000000-22-222-200000000000000000000002-20000000000000000000000000000000000000000000000
χ958-88-8-48-844-48-8-22-22-44-44-4400001-22-1-1100000000000000000000-221-11-11-1000000000000000000000000000000000000000000
χ968-88-8-48-844-4-88-22-22-444-44-400001-22-1-11000000000000000000002-21-1-11-11000000000000000000000000000000000000000000
χ978-88-8-4-8844-400-22-224-4−4i34i34i3−4i3000012-2-1-110000000000000000000000-11i3−i3−i3i3000000000000000000000000000000000000000000
χ988-88-8-4-8844-400-22-224-44i3−4i3−4i34i3000012-2-1-110000000000000000000000-11−i3i3i3−i3000000000000000000000000000000000000000000
χ998-8-888008-8-800-222-20000000000-200-222000000000000000000−4i24i200000000000000000000000000000000000i2i2−i2−i200000000000
χ1008-8-888008-8-800-222-20000000000-200-2220000000000000000004i2−4i200000000000000000000000000000000000−i2−i2i2i200000000000
χ1011616-16-16-8008-8800-4-4440000000000200-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10216-16-1616-800-88800-444-400000000002002-2-20000000000000000000000000000000000000000000000000000000000000000000000

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