Finite Group Databasebeta

← Group #11900295

Character table — Group #11900295

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222224444444444444666612121212121212121212181836111122222222444444444444466661212121212121212121218183611112222222244444444444446666121212121212121212121818361111222222224444444444444666612121212121212121212181836
order1222336666662366666666666224424666612121212444222266666666266666666666622442466661212121244422226666666626666666666662244246666121212124442222666666662666666666666224424666612121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1111-1-111-1-1-1-1-1111111111111111111111111111-1-1-1111-1-111-1-1-1-1-1111111111111111111111111111-1-1-1111-1-111-1-1-1-1-1111111111111111111111111111-1-1-1111-1-111-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-111-1-111-1-1-11111111111111111111111111-1-1111-1-1-111-1-111-1-1-11111111111111111111111111-1-1111-1-1-111-1-111-1-1-11111111111111111111111111-1-1111-1-1-111-1-111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1
χ6111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11
χ7111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11
χ8111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111-1
χ922222-122-1-12-12-122-1-1-1-1-1-1-1-1-100222000-1-100-1-100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100222000-1-100-1-100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100222000-1-100-1-100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100222000-1-100-1-1000
χ1022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-2-200011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-2-200011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-2-200011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100-2-2-2000110011000
χ1122222-122-1-12-1-2-1-2-211-1-1-111110022-20001100-1-100022222-122-1-12-1-2-1-2-211-1-1-111110022-20001100-1-100022222-122-1-12-1-2-1-2-211-1-1-111110022-20001100-1-100022222-122-1-12-1-2-1-2-211-1-1-111110022-20001100-1-1000
χ1222222-122-1-12-1-2-1-2-211-1-1-1111100-2-22000-1-1001100022222-122-1-12-1-2-1-2-211-1-1-1111100-2-22000-1-1001100022222-122-1-12-1-2-1-2-211-1-1-1111100-2-22000-1-1001100022222-122-1-12-1-2-1-2-211-1-1-1111100-2-22000-1-10011000
χ132222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220002-1-100-1-1000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220002-1-100-1-1000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220002-1-100-1-1000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1220002-1-100-1-100000
χ142222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-2000-2110011000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-2000-2110011000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-2000-2110011000002222-12-1-122-122-1-1-122-1-1-1-1-1-1-1-2-2000-211001100000
χ152222-12-1-122-12-2-111-2-2-1-1-1111122000-2-1-10011000002222-12-1-122-12-2-111-2-2-1-1-1111122000-2-1-10011000002222-12-1-122-12-2-111-2-2-1-1-1111122000-2-1-10011000002222-12-1-122-12-2-111-2-2-1-1-1111122000-2-1-1001100000
χ162222-12-1-122-12-2-111-2-2-1-1-11111-2-200021100-1-1000002222-12-1-122-12-2-111-2-2-1-1-11111-2-200021100-1-1000002222-12-1-122-12-2-111-2-2-1-1-11111-2-200021100-1-1000002222-12-1-122-12-2-111-2-2-1-1-11111-2-200021100-1-100000
χ1722-2-2222-22-2-2-20200002-2-20000000000000000002i−2i022-2-2222-22-2-2-20200002-2-20000000000000000002i−2i022-2-2222-22-2-2-20200002-2-20000000000000000002i−2i022-2-2222-22-2-2-20200002-2-20000000000000000002i−2i0
χ1822-2-2222-22-2-2-20200002-2-2000000000000000000−2i2i022-2-2222-22-2-2-20200002-2-2000000000000000000−2i2i022-2-2222-22-2-2-20200002-2-2000000000000000000−2i2i022-2-2222-22-2-2-20200002-2-2000000000000000000−2i2i0
χ192-22-222-22-2-2-22020000-22-20000002-2000000002-20002-22-222-22-2-2-22020000-22-20000002-2000000002-20002-22-222-22-2-2-22020000-22-20000002-2000000002-20002-22-222-22-2-2-22020000-22-20000002-2000000002-2000
χ202-22-222-22-2-2-22020000-22-2000000-2200000000-220002-22-222-22-2-2-22020000-22-2000000-2200000000-220002-22-222-22-2-2-22020000-22-2000000-2200000000-220002-22-222-22-2-2-22020000-22-2000000-2200000000-22000
χ212-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i3002-20000−i3i300-110002-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i3002-20000−i3i300-110002-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i3002-20000−i3i300-110002-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i3002-20000−i3i300-11000
χ222-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i300-220000i3−i3001-10002-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i300-220000i3−i3001-10002-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i300-220000i3−i3001-10002-22-22-1-2211-2-10-100−i3i31-11−i3−i3i3i300-220000i3−i3001-1000
χ232-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i3002-20000i3−i300-110002-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i3002-20000i3−i300-110002-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i3002-20000i3−i300-110002-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i3002-20000i3−i300-11000
χ242-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i300-220000−i3i3001-10002-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i300-220000−i3i3001-10002-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i300-220000−i3i3001-10002-22-22-1-2211-2-10-100i3−i31-11i3i3−i3−i300-220000−i3i3001-1000
χ252-2-2222-2-2-222-2020000-2-2200002-200002-20000000002-2-2222-2-2-222-2020000-2-2200002-200002-20000000002-2-2222-2-2-222-2020000-2-2200002-200002-20000000002-2-2222-2-2-222-2020000-2-2200002-200002-2000000000
χ262-2-2222-2-2-222-2020000-2-220000-220000-220000000002-2-2222-2-2-222-2020000-2-220000-220000-220000000002-2-2222-2-2-222-2020000-2-220000-220000-220000000002-2-2222-2-2-222-2020000-2-220000-220000-22000000000
χ272-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i32-20000-1100−i3i3000002-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i32-20000-1100−i3i3000002-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i32-20000-1100−i3i3000002-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i32-20000-1100−i3i300000
χ282-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i3-2200001-100i3−i3000002-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i3-2200001-100i3−i3000002-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i3-2200001-100i3−i3000002-2-22-1211-22-1-20-1−i3i30011-1−i3i3−i3i3-2200001-100i3−i300000
χ292-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i32-20000-1100i3−i3000002-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i32-20000-1100i3−i3000002-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i32-20000-1100i3−i3000002-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i32-20000-1100i3−i300000
χ302-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i3-2200001-100−i3i3000002-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i3-2200001-100−i3i3000002-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i3-2200001-100−i3i3000002-2-22-1211-22-1-20-1i3−i30011-1i3−i3i3−i3-2200001-100−i3i300000
χ314444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-21111111000000000000000004444-2-2-2-2-2-2-2-241-2-2-2-2111111100000000000000000
χ324444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-1000000000000000004444-2-2-2-2-2-2-2-2-412222111-1-1-1-100000000000000000
χ3344-4-44-24-4-22-420-20000-22200000000000000000000044-4-44-24-4-22-420-20000-22200000000000000000000044-4-44-24-4-22-420-20000-22200000000000000000000044-4-44-24-4-22-420-20000-222000000000000000000000
χ3444-4-4-24-224-42-40-20000-22200000000000000000000044-4-4-24-224-42-40-20000-22200000000000000000000044-4-4-24-224-42-40-20000-22200000000000000000000044-4-4-24-224-42-40-20000-222000000000000000000000
χ3544-4-4-2-2-22-22220100001-1-13-3-330000000000000000044-4-4-2-2-22-22220100001-1-13-3-330000000000000000044-4-4-2-2-22-22220100001-1-13-3-330000000000000000044-4-4-2-2-22-22220100001-1-13-3-3300000000000000000
χ3644-4-4-2-2-22-22220100001-1-1-333-30000000000000000044-4-4-2-2-22-22220100001-1-1-333-30000000000000000044-4-4-2-2-22-22220100001-1-1-333-30000000000000000044-4-4-2-2-22-22220100001-1-1-333-300000000000000000
χ374-44-4-242-2-4-4240-200002-220000000000000000000004-44-4-242-2-4-4240-200002-220000000000000000000004-44-4-242-2-4-4240-200002-220000000000000000000004-44-4-242-2-4-4240-200002-22000000000000000000000
χ384-44-4-2-22-2222-20100−2i32i3-11-1i3i3−i3−i3000000000000000004-44-4-2-22-2222-20100−2i32i3-11-1i3i3−i3−i3000000000000000004-44-4-2-22-2222-20100−2i32i3-11-1i3i3−i3−i3000000000000000004-44-4-2-22-2222-20100−2i32i3-11-1i3i3−i3−i300000000000000000
χ394-44-4-2-22-2222-201002i3−2i3-11-1−i3−i3i3i3000000000000000004-44-4-2-22-2222-201002i3−2i3-11-1−i3−i3i3i3000000000000000004-44-4-2-22-2222-201002i3−2i3-11-1−i3−i3i3i3000000000000000004-44-4-2-22-2222-201002i3−2i3-11-1−i3−i3i3i300000000000000000
χ404-4-444-2-4-42-2420-2000022-20000000000000000000004-4-444-2-4-42-2420-2000022-20000000000000000000004-4-444-2-4-42-2420-2000022-20000000000000000000004-4-444-2-4-42-2420-2000022-2000000000000000000000
χ414-4-44-2-2222-2-2201−2i32i300-1-11i3−i3i3−i3000000000000000004-4-44-2-2222-2-2201−2i32i300-1-11i3−i3i3−i3000000000000000004-4-44-2-2222-2-2201−2i32i300-1-11i3−i3i3−i3000000000000000004-4-44-2-2222-2-2201−2i32i300-1-11i3−i3i3−i300000000000000000
χ424-4-44-2-2222-2-22012i3−2i300-1-11−i3i3−i3i3000000000000000004-4-44-2-2222-2-22012i3−2i300-1-11−i3i3−i3i3000000000000000004-4-44-2-2222-2-22012i3−2i300-1-11−i3i3−i3i3000000000000000004-4-44-2-2222-2-22012i3−2i300-1-11−i3i3−i3i300000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111111111111111111111111111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111111
χ451111111111111111111111111-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-11111111111111111111111111111-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1111
χ461111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1
χ47111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111111111111-11-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-1-1-111-1-11111-1-1-1-11
χ48111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-111-11-1-1-1-1111111-1111111111111-11-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11111-1-111-11-1-1-1-1111111-1
χ49111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1111111-1-11-11111-1-1-1-111-1111111111111-11-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1111111-1-11-11111-1-1-1-111-1
χ50111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111111111-1-111-1-1-1-111-1-11111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-111111111-1-111-1-1-1-111-1-11
χ5122222-122-1-12-12-122-1-1-1-1-1-1-1-1-100222000-1-100-1-1000-2-2-2-2-21-2-211-21-21-2-211111111100-2-2-200011001100022222-122-1-12-12-122-1-1-1-1-1-1-1-1-100222000-1-100-1-1000-2-2-2-2-21-2-211-21-21-2-211111111100-2-2-2000110011000
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χ16144-4-4-2-2-22-22220100001-1-13-3-3300000000000000000-4-444222-22-2-2-20-10000-111-333-300000000000000000-4-444222-22-2-2-20-10000-111-333-30000000000000000044-4-4-2-2-22-22220100001-1-13-3-3300000000000000000
χ16244-4-4-2-2-22-22220100001-1-1-333-300000000000000000-4-444222-22-2-2-20-10000-1113-3-3300000000000000000-4-444222-22-2-2-20-10000-1113-3-330000000000000000044-4-4-2-2-22-22220100001-1-1-333-300000000000000000
χ1634-44-4-242-2-4-4240-200002-22000000000000000000000-44-442-4-2244-2-4020000-22-2000000000000000000000-44-442-4-2244-2-4020000-22-20000000000000000000004-44-4-242-2-4-4240-200002-22000000000000000000000
χ1644-44-4-2-22-2222-20100−2i32i3-11-1i3i3−i3−i300000000000000000-44-4422-22-2-2-220-1002i3−2i31-11−i3−i3i3i300000000000000000-44-4422-22-2-2-220-1002i3−2i31-11−i3−i3i3i3000000000000000004-44-4-2-22-2222-20100−2i32i3-11-1i3i3−i3−i300000000000000000
χ1654-44-4-2-22-2222-201002i3−2i3-11-1−i3−i3i3i300000000000000000-44-4422-22-2-2-220-100−2i32i31-11i3i3−i3−i300000000000000000-44-4422-22-2-2-220-100−2i32i31-11i3i3−i3−i3000000000000000004-44-4-2-22-2222-201002i3−2i3-11-1−i3−i3i3i300000000000000000
χ1664-4-444-2-4-42-2420-2000022-2000000000000000000000-444-4-4244-22-4-2020000-2-22000000000000000000000-444-4-4244-22-4-2020000-2-220000000000000000000004-4-444-2-4-42-2420-2000022-2000000000000000000000
χ1674-4-44-2-2222-2-2201−2i32i300-1-11i3−i3i3−i300000000000000000-444-422-2-2-222-20-12i3−2i30011-1−i3i3−i3i300000000000000000-444-422-2-2-222-20-12i3−2i30011-1−i3i3−i3i3000000000000000004-4-44-2-2222-2-2201−2i32i300-1-11i3−i3i3−i300000000000000000
χ1684-4-44-2-2222-2-22012i3−2i300-1-11−i3i3−i3i300000000000000000-444-422-2-2-222-20-1−2i32i30011-1i3−i3i3−i300000000000000000-444-422-2-2-222-20-1−2i32i30011-1i3−i3i3−i3000000000000000004-4-44-2-2222-2-22012i3−2i300-1-11−i3i3−i3i300000000000000000

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