Finite Group Databasebeta

← Group #72253914

Character table — Group #72253914

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size1122222222222222222224444444444444444444444888888888888888888888888888888888888888812121212121212121616161616161616161616161616161616161616242424242424242424242424242424242424242448484848
order122222222344444444666222222226666661212121212121212222222444444666666666666666688881212121212121212222244444466881212121212122424242424242424222244444444444488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-111111111111111-1-1-1-1
χ9111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111
χ11111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ12111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111
χ14111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1111111-1-1
χ15111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ16111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ1711-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1111-11-1-1-11-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-111-1-11-11-11-111-1-11-111-1-111-1-11-11-11-11-111-1-111-1-111-1-11-11-1
χ1811-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1111-11-1-1-11-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1111-11-11-111-1-11-111-1-111-1-1-11-11-11-11-1-111-1-111-1-111-11-11
χ1911-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1111-111-111-1-1-1-111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-11-11-11-1-111-11-1-111-1-1111-1-111-1-1111-1-111-1-1-1-111-11-11
χ2011-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1111-111-111-1-1-1-111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-11-11-11-1-111-11-1-111-1-111-111-1-111-1-1-111-1-11111-1-11-11-1
χ2111-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-111-1-11-1-1111-111-1-1-1-1111-11-11-11-1-1-111-1-11111-1-1-11-11
χ2211-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-11-1-11111-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-111-1-11-1-1111-111-1-1-1-111-11-11-11-1111-1-111-1-1-1-1111-11-1
χ2311-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-1-11-1111-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-111-1-11-1-111-111-1-1-11-1-11111-1-11-1-111-1-11-1-111-1-111-1-1111-11-1
χ2411-1-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-1-11-1111-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1111-1-111-111-1-1-11-1-11111-1-1-111-1-111-111-1-111-1-111-1-1-11-11
χ2511-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-11-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11-11-1-1111-1-11-1-1-111-1-111-111-1-111-111-1-1-1-111-1-1111-1-11
χ2611-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-11-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1111-11-1-1111-1-11-1-1-111-1-1111-1-111-1-11-1-11111-1-111-1-1-111-1
χ2711-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111-111-11-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-11-111-1-1-111-1111-1-111-1-1-11-11-11-1111-1-1-1-11111-1-1-111-1
χ2811-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111-111-11-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-11-111-1-1-111-1111-1-111-1-11-11-11-11-1-1-11111-1-1-1-1111-1-11
χ2911-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-11-1-11-1-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1-111-11-1-1-1111-1-1-11111-1-1-111-1-111-1-1-11111-1-1-1-111-111-1
χ3011-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11111-1-11-1-11-1-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-111-1-111-111-11-1-1-1111-1-1-11111-1-11-1-111-1-1111-1-1-1-11111-1-11-1-11
χ3111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1111-11-11-1-1-11-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-1-11-1111-1-1-1111-1-1-1-111-11-11-11-11-1-11111-1-111-1-11-1-11
χ3211-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1111-11-11-1-1-11-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111-1-11-1111-1-1-1111-1-1-1-1111-11-11-11-111-1-1-1-111-1-111-111-1
χ332222222222-2-2-2-2-2-2-2-222200000000222222-2-2-2-2-2-2-2-22-20000-2200000000000022-2-200000000-2-22200002-22-22-22-200000000000000000000000000002-22-2000000000000
χ342222222222-2-2-2-2-2-2-2-222200000000222222-2-2-2-2-2-2-2-22-20000-2200000000000022-2-200000000-2-2220000-22-22-22-220000000000000000000000000000-22-22000000000000
χ352222222222-2-2-2-2-2-2-2-222200000000222222-2-2-2-2-2-2-2-2-2200002-2000000000000-2-2220000000022-2-200002-22-22-22-20000000000000000000000000000-22-22000000000000
χ362222222222-2-2-2-2-2-2-2-222200000000222222-2-2-2-2-2-2-2-2-2200002-2000000000000-2-2220000000022-2-20000-22-22-22-2200000000000000000000000000002-22-2000000000000
χ37222222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ38222222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-100000000-2-211-2-211111111111111000000000000000000000000
χ39222222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-11111111122221111111100000000-2-2-1-1-2-21111-1-1-1-1-1-11111000000000000000000000000
χ40222222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000221122-1-1-1-1111111-1-1-1-1000000000000000000000000
χ41222222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22222-2-22211111111-1-1-1-11111-2-2-2-2-1-1-1-111110000000022-1-1-2-2-1-1-1-1-1-111111111000000000000000000000000
χ42222222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-2-211111111-1-1-1-111112222-1-1-1-1111100000000-2-21122111111-1-1-1-1-1-1-1-1000000000000000000000000
χ43222222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-22222111111111111-1-1-1-1-2-2-2-21111-1-1-1-100000000-2-2-1-1221111-1-11111-1-1-1-1000000000000000000000000
χ44222222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-2111111111111-1-1-1-122221111-1-1-1-1000000002211-2-2-1-1-1-111-1-1-1-11111000000000000000000000000
χ452222-2-22-2-22-222-2-22-2222222-2-222-2-2-2-222-2-2-2-222-2-2220000220000-2-222-2-222-2-2000000002-22-200000000000000000022000000-2-22-22-20000000000000000000000000000
χ462222-2-22-2-22-222-2-22-2222222-2-222-2-2-2-222-2-2-2-222-2-2220000-2-200002222-2-222-2-200000000-22-22000000000000000000-2-200000022-22-220000000000000000000000000000
χ472222-2-22-2-22-222-2-22-22222-2-222-2-222-2-222-2-2-2-222-2-2220000220000-2-2-2-222-2-22200000000-22-2200000000000000000022000000-2-2-22-220000000000000000000000000000
χ482222-2-22-2-22-222-2-22-22222-2-222-2-222-2-222-2-2-2-222-2-2220000-2-2000022-2-222-2-222000000002-22-2000000000000000000-2-2000000222-22-20000000000000000000000000000
χ492222-2-22-2-2-1-222-2-22-22-1-1-122-2-222-2-211-1-11111-1-111-1-10000220000-2-2-1-111-1-111i3−i3i3−i3i3i3−i3−i32-22-2i3−i3i3−i3i3i3−i3−i30000000000-1-100i3−i3i3−i311-11-11i3−i3i3−i3000000000000000000000000
χ502222-2-22-2-2-1-222-2-22-22-1-1-122-2-222-2-211-1-11111-1-111-1-10000220000-2-2-1-111-1-111−i3i3−i3i3−i3−i3i3i32-22-2−i3i3−i3i3−i3−i3i3i30000000000-1-100−i3i3−i3i311-11-11−i3i3−i3i3000000000000000000000000
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χ522222-2-22-2-2-1-222-2-22-22-1-1-122-2-222-2-211-1-11111-1-111-1-10000-2-2000022-1-111-1-111−i3i3−i3i3−i3−i3i3i3-22-22−i3i3−i3i3−i3−i3i3i300000000001100i3−i3i3−i3-1-11-11-1i3−i3i3−i3000000000000000000000000
χ532222-2-22-2-2-1-222-2-22-22-1-1-1-2-222-2-22211-1-11111-1-111-1-10000220000-2-211-1-111-1-1i3−i3i3−i3−i3−i3i3i3-22-22i3−i3i3−i3−i3−i3i3i30000000000-1-100i3−i3i3−i3111-11-1−i3i3−i3i3000000000000000000000000
χ542222-2-22-2-2-1-222-2-22-22-1-1-1-2-222-2-22211-1-11111-1-111-1-10000220000-2-211-1-111-1-1−i3i3−i3i3i3i3−i3−i3-22-22−i3i3−i3i3i3i3−i3−i30000000000-1-100−i3i3−i3i3111-11-1i3−i3i3−i3000000000000000000000000
χ552222-2-22-2-2-1-222-2-22-22-1-1-1-2-222-2-22211-1-11111-1-111-1-10000-2-200002211-1-111-1-1i3−i3i3−i3−i3−i3i3i32-22-2i3−i3i3−i3−i3−i3i3i300000000001100−i3i3−i3i3-1-1-11-11i3−i3i3−i3000000000000000000000000
χ562222-2-22-2-2-1-222-2-22-22-1-1-1-2-222-2-22211-1-11111-1-111-1-10000-2-200002211-1-111-1-1−i3i3−i3i3i3i3−i3−i32-22-2−i3i3−i3i3i3i3−i3−i300000000001100i3−i3i3−i3-1-1-11-11−i3i3−i3i3000000000000000000000000
χ57222-22-2-22-22-22-22-2-222-2-222-22-22-22-22-22-22-22-22-22-22-20000000000002-22-22-22-2000000000000000000000000000000000000000000000000002200-2-2000000002-22-20000
χ58222-22-2-22-22-22-22-2-222-2-222-22-22-22-22-22-22-22-22-22-22-20000000000002-22-22-22-200000000000000000000000000000000000000000000000000-2-2002200000000-22-220000
χ59222-22-2-22-22-22-22-2-222-2-22-22-22-22-222-22-22-22-22-22-22-2000000000000-22-22-22-22000000000000000000000000000000000000000000000000002200-2-200000000-22-220000
χ60222-22-2-22-22-22-22-2-222-2-22-22-22-22-222-22-22-22-22-22-22-2000000000000-22-22-22-2200000000000000000000000000000000000000000000000000-2-20022000000002-22-20000
χ61222-2-22-2-22222-2-22-2-22-2-222-2-222-2-22-222-2-22-222-2-222-20000000000002-2-222-2-22000000000000000000002-22-2-22-22000000000000000000002200-2-2000000000000000000
χ62222-2-22-2-22222-2-22-2-22-2-222-2-222-2-22-222-2-22-222-2-222-20000000000002-2-222-2-2200000000000000000000-22-222-22-200000000000000000000-2-20022000000000000000000
χ63222-2-22-2-22222-2-22-2-22-2-22-222-2-222-2-222-2-22-222-2-222-2000000000000-222-2-222-2000000000000000000002-22-2-22-2200000000000000000000-2-20022000000000000000000
χ64222-2-22-2-22222-2-22-2-22-2-22-222-2-222-2-222-2-22-222-2-222-2000000000000-222-2-222-200000000000000000000-22-222-22-2000000000000000000002200-2-2000000000000000000
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Here i is the imaginary unit (i² = −1).