Finite Group Databasebeta

← Group #72271624

Character table — Group #72271624

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222444444444444444444444444888888888888888888888888888888888888888888888888161616161616161616161616161616163232323232323232323232323232323232323232323232324848484848484848969696969696969696969696
order122222222236666666222222222222666666666666222222222222444466666666666666666666666666661212121244446612121212121212121212444488881212121212121212242424242424242422444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-111-1-111111111111111-111111111-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i
χ10111111111111111111111111-1-111-1-111111111111111-111111111-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii
χ11111111111111111111111111-1-111-1-111111111111111-111111111-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii
χ12111111111111111111111111-1-111-1-111111111111111-111111111-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i
χ13111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-11-111-1-1-1-111ii−i−i−i−iii
χ14111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-11-1-11111-1-1−i−iiiii−i−i
χ15111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-1-1-111−i−iiiii−i−i
χ16111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-11111-1-1ii−i−i−i−iii
χ172222222222222222222222-2-222-2-222222222222222-2-22000000002-2-2-2-2-2-2-2-2-2-2-2-222000000000000000022-2-2-2-2000022-2-2000000000000000000000000000000000000000000002-22-20000
χ182222222222222222222222-2-222-2-222222222222222-2-22000000002-2-2-2-2-2-2-2-2-2-2-2-222000000000000000022-2-2-2-2000022-2-200000000000000000000000000000000000000000000-22-220000
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χ23222222222222222222-2-2-2-222-2-222-2-2222-2-2-2-2-2-2-2-22-2-22000000002-2-2222222-2-2-2-2-2-20000000000000000-2-22222000022-2-2000000000000000000000000000000002-22-2-2-222000000000000
χ24222222222222222222-2-2-2-222-2-222-2-2222-2-2-2-2-2-2-2-22-2-22000000002-2-2222222-2-2-2-2-2-20000000000000000-2-22222000022-2-200000000000000000000000000000000-22-2222-2-2000000000000
χ25222222222222222222-2-2-2-2-2-222-2-222222-2-2-2-2-2-2-2-2222-200000000-2-2-222-2-2-2-222222200000000000000002222220000-2-2-2-2000000002-22-2000022-2-222-2-20000000000000000000000000000
χ26222222222222222222-2-2-2-2-2-222-2-222222-2-2-2-2-2-2-2-2222-200000000-2-2-222-2-2-2-222222200000000000000002222220000-2-2-2-200000000-22-220000-2-222-2-2220000000000000000000000000000
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χ302222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
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χ372222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-222-1-1-111111111-122-200000000-2-2-2221111-1-1-1-1-1-1−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i32-22-20000-1-111-1-111−i3−i3i3i3−i3−i3i3i300000000000000000000
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χ12988-8-8000000-4−4i34i3-44−4i34i34-44-44000000000002+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i3−2+2i30000-4400-44000000000000000002-22i3−2i32-22i3−2i32-2−2i32i32-2−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8000000-44i3−4i3-444i3−4i344-44-400000000000−2+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i32+2i30000004-4004-40000000000000002i3−2i3-222i3−2i3-22−2i32i3-22−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-8000000-44i3−4i3-444i3−4i344-44-400000000000−2+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i32+2i3000000-4400-44000000000000000−2i32i32-2−2i32i32-22i3−2i32-22i3−2i32-2000000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8000000-44i3−4i3-444i3−4i34-44-44000000000002−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i3−2−2i300004-4004-400000000000000000-222i3−2i3-222i3−2i3-22−2i32i3-22−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ13388-8-8000000-44i3−4i3-444i3−4i34-44-44000000000002−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i3−2−2i30000-4400-44000000000000000002-2−2i32i32-2−2i32i32-22i3−2i32-22i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-8000000800-8800-84-4-44000000000004-44-4-44-440000004-400-44000000000000000004-400-44004-400-44000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-8000000800-8800-84-4-44000000000004-44-4-44-44000000-44004-400000000000000000-44004-400-44004-4000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-8000000800-8800-8-444-400000000000-44-444-44-400004-400-44000000000000000004-400-44004-400-4400000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-8000000800-8800-8-444-400000000000-44-444-44-40000-44004-400000000000000000-44004-400-44004-400000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-8000000-4−4i34i34-44i3−4i344-4-4400000000000−2−2i32+2i3−2+2i32−2i32+2i3−2−2i32−2i3−2+2i30000004-400-44000000000000000−2i32i3-222i3−2i32-22i3−2i3-22−2i32i32-2000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8000000-4−4i34i34-44i3−4i344-4-4400000000000−2−2i32+2i3−2+2i32−2i32+2i3−2−2i32−2i3−2+2i3000000-44004-40000000000000002i3−2i32-2−2i32i3-22−2i32i32-22i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8000000-4−4i34i34-44i3−4i34-444-4000000000002+2i3−2−2i32−2i3−2+2i3−2−2i32+2i3−2+2i32−2i300004-400-4400000000000000000-22−2i32i32-22i3−2i3-222i3−2i32-2−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8000000-4−4i34i34-44i3−4i34-444-4000000000002+2i3−2−2i32−2i3−2+2i3−2−2i32+2i3−2+2i32−2i30000-44004-4000000000000000002-22i3−2i3-22−2i32i32-2−2i32i3-222i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8000000-44i3−4i34-4−4i34i344-4-4400000000000−2+2i32−2i3−2−2i32+2i32−2i3−2+2i32+2i3−2−2i30000004-400-440000000000000002i3−2i3-22−2i32i32-2−2i32i3-222i3−2i32-2000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8000000-44i3−4i34-4−4i34i344-4-4400000000000−2+2i32−2i3−2−2i32+2i32−2i3−2+2i32+2i3−2−2i3000000-44004-4000000000000000−2i32i32-22i3−2i3-222i3−2i32-2−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8000000-44i3−4i34-4−4i34i34-444-4000000000002−2i3−2+2i32+2i3−2−2i3−2+2i32−2i3−2−2i32+2i300004-400-4400000000000000000-222i3−2i32-2−2i32i3-22−2i32i32-22i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-8000000-44i3−4i34-4−4i34i34-444-4000000000002−2i3−2+2i32+2i3−2−2i3−2+2i32−2i3−2−2i32+2i30000-44004-4000000000000000002-2−2i32i3-222i3−2i32-22i3−2i3-22−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-88888-8-8-8888-8-8-8-88000000000000-88800000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8-88888-8-8-8-4-4-44444-40000000000004-4-4−4i3−4i34i34i34i34i3−4i3−4i34000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-88888-8-8-8-4-4-44444-40000000000004-4-44i34i3−4i3−4i3−4i3−4i34i34i34000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-88-88-88-44444-4-4-400008-800-8800-4-440000000040000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-88-88-88-44444-4-4-40000-88008-800-4-4400000000400000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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