Finite Group Databasebeta

← Group #72231685

Character table — Group #72231685

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222244444444488888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616242424242424323232323232484848484848486464646464646464969696969696969696192
order1222236222222666222222444466666666666612122224444444444666666612121212121212121212121212121212122222444461212122244444481212121224244444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1111111-1-111111111111111111111111111-1-111-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1
χ4111111111111111111111111111111111111111111-11-1111111-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111111111111-1-11111111111-1-1-1-1111111-1-11-1111-1-1-1-111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1
χ6111111111111111111-1-11111111111-1-1-1-1111111-1-11-1111-1-1-1-111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111
χ7111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1111-1-111-1-111111-1-1-1-1-1-1111
χ8111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1111111-1-1-1
χ91111111111111111-1-111111-1-11111111111111111-11-11-1-111-1-1111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-11-111111-1-1-111-1-1-1-1-111-1-111-1
χ101111111111111111-1-111111-1-11111111111111111-11-11-1-111-1-1111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-11-1-1-111-1-1111-1-111-1-11
χ111111111111111111-1-111111-1-11111111111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1111-1-111-11111-1-1-1-11
χ121111111111111111-1-111111-1-11111111111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111-1-111-1111-1-1111-1-1-1-11111-1
χ131111111111111111-1-1-1-1111-1-111111-1-1-1-1111111-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-11-11111-11-1-1-1-111-1-1-1-1-111-1-11
χ141111111111111111-1-1-1-1111-1-111111-1-1-1-1111111-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11-1-1-1-11111111-1-111-1
χ151111111111111111-1-1-1-1111-1-111111-1-1-1-1111111-11-11-1-1-1-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-11-11111-1-1-111-1-11111-1
χ161111111111111111-1-1-1-1111-1-111111-1-1-1-1111111-11-11-1-1-1-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111-1-1111-11111-1-11-1-111-1-1-1-11
χ1722222222222-2-22222-200-22-22-2-222-2-2000022-2-2-2-2000002-200000022-20000-22-20022-2-20000000000220000000002000-2-20000000002-20000000
χ1822222222222-2-22222-200-22-22-2-222-2-2000022-2-2-2-2000002-200000022-20000-22-20022-2-20000000000-2-2000000000-200022000000000-220000000
χ1922222222222-2-2222-2200-22-2-22-222-2-2000022-2-2-2-200000-220000002-220000-2-2200-2-2220000000000220000000002000-2-2000000000-220000000
χ2022222222222-2-2222-2200-22-2-22-222-2-2000022-2-2-2-200000-220000002-220000-2-2200-2-2220000000000-2-2000000000-2000220000000002-20000000
χ2122222222-2-222222200222-2-200-222222222-2-222-2-22000000-2-20000-2002200-200000000-2-2-2-200002-2002-20000000002-200000000000002-200000
χ2222222222-2-222222200222-2-200-222222222-2-222-2-22000000-2-20000-2002200-200000000-2-2-2-20000-2200-22000000000-220000000000000-2200000
χ2322222222-2-222222200-2-22-2-200-22222-2-2-2-2-2-222-2-2-2000000220000-200-2-200-200000000222200002-2002-20000000002-20000000000000-2200000
χ2422222222-2-222222200-2-22-2-200-22222-2-2-2-2-2-222-2-2-2000000220000-200-2-200-20000000022220000-2200-22000000000-2200000000000002-200000
χ252222222-222-2222222200-2-2222-2-2-222000022-2-2-2-200000-2-2000000-222000022200-2-2-2-200000000220022000000202-2-20000000000-2000000000
χ262222222-222-2222222200-2-2222-2-2-222000022-2-2-2-200000-2-2000000-222000022200-2-2-2-200000000-2-200-2-2000000-20-22200000000002000000000
χ272222222-222-222222-2-200-2-22-2-2-2-2-222000022-2-2-2-20000022000000-2-2-200002-2-200222200000000220022000000-20-2-2-200000000002000000000
χ282222222-222-222222-2-200-2-22-2-2-2-2-222000022-2-2-2-20000022000000-2-2-200002-2-200222200000000-2-200-2-2000000202220000000000-2000000000
χ292222222-222-2-2-22222-2002-2-22-22-2-2-2-2000022222200202-220000-2-2-22-20000-22-200-2-222000000000000002-222-2-20000000002-200000000000000
χ302222222-222-2-2-22222-2002-2-22-22-2-2-2-2000022222200-20-2-22000022-22-20000-22-200-2-22200000000000000-22-2-222000000000-2200000000000000
χ312222222-222-2-2-2222-22002-2-2-222-2-2-2-20000222222002022-20000-2-2-2-220000-2-220022-2-200000000000000-2222-2-2000000000-2200000000000000
χ322222222-222-2-2-2222-22002-2-2-222-2-2-2-2000022222200-20-22-2000022-2-220000-2-220022-2-2000000000000002-2-2-2220000000002-200000000000000
χ332222222-2-2-2-2222220000-22-2002-2-2220000-2-2-2-222020200000-2-2002000022-2002200000000-2-2-2-22-2002-2000000000-220000000000000002-2000
χ342222222-2-2-2-2222220000-22-2002-2-2220000-2-2-2-222020200000-2-2002000022-2002200000000-2-2-2-2-2200-220000000002-2000000000000000-22000
χ352222222-2-2-2-2222220000-22-2002-2-2220000-2-2-2-2220-20-200000220020000-2-2-200-2-20000000022222-2002-2000000000-22000000000000000-22000
χ362222222-2-2-2-2222220000-22-2002-2-2220000-2-2-2-2220-20-200000220020000-2-2-200-2-2000000002222-2200-220000000002-20000000000000002-2000
χ3722222-1-1222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1000000022-1-1-1-1-1-10000000000
χ3822222-1-1222222-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-22-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-211110000000-2-21111110000000000
χ3922222-1-1222222-1-1-122-2-2222222-1-1-1-11111-1-1-1-1-1-1-2-22-2222-2-2-2-222-1-1-11111-1-1-111-1-1-1-11111111100000022-1-1-1-10000000-2-2-1-111110000000000
χ4022222-1-1222222-1-1-122-2-2222222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-222-2-2-2-2-2-2-1-1-11111-1-1-111-1-1-1-111111111000000-2-2111100000002211-1-1-1-10000000000
χ4122222-1-1222222-1-1-1-2-222222-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-12-22-22-2-222-2-222-111-1-111-111111111-1-1-1-11111000000-2-2-1-1-1-100000002-211-1-1110000000000
χ4222222-1-1222222-1-1-1-2-222222-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-222-2-2-2-2-111-1-111-111111111-1-1-1-111110000002211110000000-22-1-111-1-10000000000
χ4322222-1-1222222-1-1-1-2-2-2-2222-2-22-1-1-1-11111-1-1-1-1-1-1-22222-2-2-2-22222-11111-1-1-111-1-111111111-1-1-1-1000000-2-2-1-1-1-10000000-221111-1-10000000000
χ4422222-1-1222222-1-1-1-2-2-2-2222-2-22-1-1-1-11111-1-1-1-1-1-1-22-22-2-2-2-2-222-2-2-11111-1-1-111-1-111111111-1-1-1-100000022111100000002-2-1-1-1-1110000000000
χ4522222-1-1-222-2-2-2-1-1-12-2002-2-22-221111i3i3−i3−i3-1-1-1-1-1-100202-220000-2-21-11i3−i3i3−i31-11i3−i311-1-1i3i3−i3−i3i3i3−i3−i30000002-2-1-111000000000-11i3−i3i3−i30000000000
χ4622222-1-1-222-2-2-2-1-1-12-2002-2-22-221111i3i3−i3−i3-1-1-1-1-1-100-20-2-220000221-11i3−i3i3−i31-11i3−i311-1-1i3i3−i3−i3i3i3−i3−i3000000-2211-1-10000000001-1−i3i3−i3i30000000000
χ4722222-1-1-222-2-2-2-1-1-12-2002-2-22-221111−i3−i3i3i3-1-1-1-1-1-100202-220000-2-21-11−i3i3−i3i31-11−i3i311-1-1−i3−i3i3i3−i3−i3i3i30000002-2-1-111000000000-11−i3i3−i3i30000000000
χ4822222-1-1-222-2-2-2-1-1-12-2002-2-22-221111−i3−i3i3i3-1-1-1-1-1-100-20-2-220000221-11−i3i3−i3i31-11−i3i311-1-1−i3−i3i3i3−i3−i3i3i3000000-2211-1-10000000001-1i3−i3i3−i30000000000
χ4922222-1-1-222-2-2-2-1-1-1-22002-2-2-2221111i3i3−i3−i3-1-1-1-1-1-1002022-20000-2-211-1i3−i3−i3i311-1−i3i3-1-111i3i3−i3−i3−i3−i3i3i3000000-22-1-1110000000001-1i3−i3−i3i30000000000
χ5022222-1-1-222-2-2-2-1-1-1-22002-2-2-2221111i3i3−i3−i3-1-1-1-1-1-100-20-22-200002211-1i3−i3−i3i311-1−i3i3-1-111i3i3−i3−i3−i3−i3i3i30000002-211-1-1000000000-11−i3i3i3−i30000000000
χ5122222-1-1-222-2-2-2-1-1-1-22002-2-2-2221111−i3−i3i3i3-1-1-1-1-1-1002022-20000-2-211-1−i3i3i3−i311-1i3−i3-1-111−i3−i3i3i3i3i3−i3−i3000000-22-1-1110000000001-1−i3i3i3−i30000000000
χ5222222-1-1-222-2-2-2-1-1-1-22002-2-2-2221111−i3−i3i3i3-1-1-1-1-1-100-20-22-200002211-1−i3i3i3−i311-1i3−i3-1-111−i3−i3i3i3i3i3−i3−i30000002-211-1-1000000000-11i3−i3−i3i30000000000
χ5344444444-4-44-4-44440000-4-4400444-4-40000-4-4-4-4440000000000000-4000000400000000000000000000000000000000000000000000000000000
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χ84444-4-4-2-20-4400022-24022000-4000000−1−i3−1−i3−1+i3−1+i32-2−2i32i32i3−2i3-220-2000-22-22000-201+i31−i3−1−i3−1+i30201+i31−i300−2i32i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000000000000000
χ85444-4-4-2-20-4400022-240-2-2000-40000001−i31−i31+i31+i32-22i3−2i3−2i32i32-2020002-22-2000-20−1+i3−1−i31−i31+i3020−1+i3−1−i3002i3−2i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000000000000000
χ86444-4-4-2-20-4400022-240-2-2000-40000001+i31+i31−i31−i32-2−2i32i32i3−2i32-2020002-22-2000-20−1−i3−1+i31+i31−i3020−1−i3−1+i300−2i32i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000000000000000
χ87444-4-4-2-20-4400022-2-40220004000000−1+i3−1+i3−1−i3−1−i32-22i3−2i3−2i32i3-2-202000-222-2000201−i31+i31−i31+i30-20−1+i3−1−i300−2i32i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000000000000000000000
χ88444-4-4-2-20-4400022-2-40220004000000−1−i3−1−i3−1+i3−1+i32-2−2i32i32i3−2i3-2-202000-222-2000201+i31−i31+i31−i30-20−1−i3−1+i3002i3−2i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000000000000000000000
χ89444-4-4-2-20-4400022-2-40-2-200040000001−i31−i31+i31+i32-22i3−2i3−2i32i3220-20002-2-2200020−1+i3−1−i3−1+i3−1−i30-201−i31+i300−2i32i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i30000000000000000000000000000000000000
χ90444-4-4-2-20-4400022-2-40-2-200040000001+i31+i31−i31−i32-2−2i32i32i3−2i3220-20002-2-2200020−1−i3−1+i3−1−i3−1+i30-201+i31−i3002i3−2i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i30000000000000000000000000000000000000
χ9144-4-444400004-4-44-40000000000004-400000000000020-20000002-200000000000000000000000004220-4002-22-20-20002-2000000000000000000
χ9244-4-444400004-4-44-40000000000004-400000000000020-20000002-20000000000000000000000000-4-2-204002-22-202000-22000000000000000000
χ9344-4-444400004-4-44-40000000000004-4000000000000-202000000-2200000000000000000000000004-2-20-400-22-2202000-22000000000000000000
χ9444-4-444400004-4-44-40000000000004-4000000000000-202000000-220000000000000000000000000-4220400-22-220-20002-2000000000000000000
χ9544-4-44440000-44-44-4000000000000-4400000000000020-2000000-220000000000000000000000004022-40002-2-220-2000-22000000000000000000
χ9644-4-44440000-44-44-4000000000000-4400000000000020-2000000-22000000000000000000000000-40-2-240002-2-22020002-2000000000000000000
χ9744-4-44440000-44-44-4000000000000-44000000000000-2020000002-200000000000000000000000040-2-2-4000-222-2020002-2000000000000000000
χ9844-4-44440000-44-44-4000000000000-44000000000000-2020000002-2000000000000000000000000-40224000-222-20-2000-22000000000000000000
χ9988-88-8880000008-8-8000000000000000000000000000000000000000000000000000000000000000000000000040-40000000000000000000000
χ10088-88-8880000008-8-80000000000000000000000000000000000000000000000000000000000000000000000000-4040000000000000000000000
χ10188-8-88-4-400008-84-44000000000000-4400000000000040-40000004-400000000000000000000000000000000-22-220000000000000000000000000
χ10288-8-88-4-400008-84-44000000000000-44000000000000-404000000-44000000000000000000000000000000002-22-20000000000000000000000000
χ10388-8-88-4-40000-884-440000000000004-400000000000040-4000000-4400000000000000000000000000000000-222-20000000000000000000000000
χ10488-8-88-4-40000-884-440000000000004-4000000000000-4040000004-4000000000000000000000000000000002-2-220000000000000000000000000
χ1058-80008-8-400400000004-40000004-4004-44-40000000000000000000000000000000000000000000004-40000000000000000000000000000002-20
χ1068-80008-8-400400000004-40000004-4004-44-4000000000000000000000000000000000000000000000-44000000000000000000000000000000-220
χ1078-80008-8-40040000000-440000004-400-44-440000000000000000000000000000000000000000000004-4000000000000000000000000000000-220
χ1088-80008-8-40040000000-440000004-400-44-44000000000000000000000000000000000000000000000-440000000000000000000000000000002-20
χ1091616-1616-16-8-8000000-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1600016-16800-8000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11116-16000-88800-80000000000000004-4004i3−4i3−4i34i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11216-16000-88800-80000000000000004-400−4i34i34i3−4i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-16000-88-800800000008-8000000-4400-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-16000-88-80080000000-88000000-44004-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000

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