Finite Group Databasebeta

← Group #11792230

Character table — Group #11792230

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222222222222222222222222244444444444444444444444444444444444444444444444444448888888888888888888888888888888888887272727272727272
order1222223333444466666666666666666666666666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224466666666666666661212121212121212121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111
χ6111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ7111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ8111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ92222222222-2-2-2-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000002-2000000000000000022222222-2-2-2-2-2-2-2-200000000
χ102222222222-2-2-2-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000-220000000000000000-2-2-2-2-2-2-2-22222222200000000
χ112222222-1-1-12222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000
χ122222222-1-1-12222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2111111-2-211111100000000
χ132222222-1-1-12222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-211111100000000
χ142222222-1-1-12222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-222-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-100000000
χ152222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-10000-2-2-2-211111111111100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3002-20000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322-1-1-1-1-1-1-2-211111100000000
χ162222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-10000-2-2-2-211111111111100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i300-220000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211111122-1-1-1-1-1-100000000
χ172222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-10000-2-2-2-211111111111100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3002-20000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-1-1-1-1-1-1-2-211111100000000
χ182222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-10000-2-2-2-211111111111100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i300-220000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-211111122-1-1-1-1-1-100000000
χ19222222-12-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000
χ20222222-12-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-21111-2-2111111-2-2111111-2-2111100000000
χ21222222-12-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111122-2-2-1-1-1-122-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000
χ22222222-12-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2221111-2-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000
χ23222222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-100001111-2-2-2-211111111−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3002-2−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-1-122-1-1-1-111-2-2111100000000
χ24222222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-100001111-2-2-2-211111111−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i300-22i3i3−i3−i300i3i3−i3−i300i3i3−i3−i311-2-21111-1-122-1-1-1-100000000
χ25222222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-100001111-2-2-2-211111111i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002-2i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-1-122-1-1-1-111-2-2111100000000
χ26222222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-100001111-2-2-2-211111111i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i300-22−i3−i3i3i300−i3−i3i3i300−i3−i3i3i311-2-21111-1-122-1-1-1-100000000
χ27222222-1-12-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100000000
χ28222222-1-12-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111-2-2111111-2-21111-2-2111111-2-21100000000
χ29222222-1-12-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-1221111-2-2111111-2-21100000000
χ30222222-1-12-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111-2-2111111-2-2-1-1-1-122-1-1-1-1-1-122-1-100000000
χ31222222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1000011111111-2-2-2-21111−i3−i3−i3−i3i3i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000002-2−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-1-1-1-122-1-11111-2-21100000000
χ32222222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1000011111111-2-2-2-21111−i3−i3−i3−i3i3i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000-22i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3001111-2-211-1-1-1-122-1-100000000
χ33222222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1000011111111-2-2-2-21111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i30000002-2i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-1-1-1-122-1-11111-2-21100000000
χ34222222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-12-1000011111111-2-2-2-21111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000-22−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3001111-2-211-1-1-1-122-1-100000000
χ35222222-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ36222222-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-211-2-211111111-2-2111111-2-200000000
χ37222222-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122221111111111111111-2-2-2-21111-2-2-2-2111122-2-2-1-1-1-1-1-1-1-122-1-122-1-1111111-2-2111111-2-200000000
χ38222222-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122221111111111111111-2-2-2-21111-2-2-2-21111-2-22211111111-2-211-2-211-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ39222222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-120000111111111111-2-2-2-2−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3i3i30000−i3−i3−i3−i3002-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-1-1-1-1-1-122111111-2-200000000
χ40222222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-120000111111111111-2-2-2-2−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3i3i30000−i3−i3−i3−i300-22i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3111111-2-2-1-1-1-1-1-12200000000
χ41222222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-120000111111111111-2-2-2-2i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i30000i3i3i3i3002-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-1-1-1-1-1-122111111-2-200000000
χ42222222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-120000111111111111-2-2-2-2i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i30000i3i3i3i300-22−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3111111-2-2-1-1-1-1-1-12200000000
χ432222-2-222222-22-22-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-22222000022-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000020-20000
χ442222-2-222222-22-22-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-22222000022-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000-2020000
χ452222-2-22222-22-222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-222220000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000020-200000
χ462222-2-22222-22-222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-222220000-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000-20200000
χ472-2-222-2222222-2-2-222-222-222-2222-2-22-2-22-2-22-2-2-2-2-2-22i2i−2i−2i2-22-22-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ482-2-222-2222222-2-2-222-222-222-2222-2-22-2-22-2-22-2-2-2-2-2-2−2i−2i2i2i2-22-22-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ492-2-222-22222-2-222-222-222-222-2222-2-22-2-22-2-22-2-2-2-2-2-20000-22-22-22-22-22-22-22-22000000000000000000000000000000002-2002-22-22-22-22-22-22-22-2000000000000000000000000
χ502-2-222-22222-2-222-222-222-222-2222-2-22-2-22-2-22-2-2-2-2-2-20000-22-22-22-22-22-22-22-2200000000000000000000000000000000-2200-22-22-22-22-22-22-22-22000000000000000000000000
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χ522-2-222-22-1-1-122-2-2-2221-1-11-1-11-1-12-2-2-111-111-111-21112i2i−2i−2i2-22-2-11-11-11-11-11-112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii00000000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300−33−33−3300−33−33−3300000000
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χ1374-4-44-44-2-2-244-4-44222222222-4-4-4-2-2-2-2-2-2-2-2-2444222-40000-222-2-222-2-222-24-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-44-2-2-24-444-4222222222-4-4-4-2-2-2-2-2-2-2-2-2444222-400002-2-222-2-222-2-22-444-40000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.