Finite Group Databasebeta

← Group #13177988

Character table — Group #13177988

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222444444444444444444444444441818181836362222444444444444444444888888888888888888888888883636363672723333666666666666666666121212121212121212121212121212121212121212121212121254545454108108
order124423333466661212121212121212246666666666661212121212121212121212128888243612126333312666612121212121212126126666666666661212121212121212121212122424242461222442666646666121212121212121224666666666666121212121212121212121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1
χ611-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-11
χ711-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11
χ811-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-111-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-111-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1
χ9222222-1-1-122-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000000222222-1-1-122-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000000222222-1-1-122-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000000
χ10222222-1-1-122-1-1-122-1-1-1-1-1-1-2-22-1-1-1-2-21111112-1-1-1-2-2111111000000222222-1-1-122-1-1-122-1-1-1-1-1-1-2-22-1-1-1-2-21111112-1-1-1-2-2111111000000222222-1-1-122-1-1-122-1-1-1-1-1-1-2-22-1-1-1-2-21111112-1-1-1-2-2111111000000
χ1122222-12-1-12-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-100000022222-12-1-12-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-100000022222-12-1-12-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1000000
χ1222222-12-1-12-12-1-1-1-122-1-1-1-1-2-2-12-1-111-2-21111-12-1-111-2-2111100000022222-12-1-12-12-1-1-1-122-1-1-1-1-2-2-12-1-111-2-21111-12-1-111-2-2111100000022222-12-1-12-12-1-1-1-122-1-1-1-1-2-2-12-1-111-2-21111-12-1-111-2-21111000000
χ1322222-1-12-12-1-12-1-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-100000022222-1-12-12-1-12-1-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-100000022222-1-12-12-1-12-1-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1000000
χ1422222-1-12-12-1-12-1-1-1-1-122-1-1-2-2-1-12-11111-2-211-1-12-11111-2-21100000022222-1-12-12-1-12-1-1-1-1-122-1-1-2-2-1-12-11111-2-211-1-12-11111-2-21100000022222-1-12-12-1-12-1-1-1-1-122-1-1-2-2-1-12-11111-2-211-1-12-11111-2-211000000
χ1522222-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12200000022222-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12200000022222-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122000000
χ1622222-1-1-122-1-1-12-1-1-1-1-1-122-2-2-1-1-12111111-2-2-1-1-12111111-2-200000022222-1-1-122-1-1-12-1-1-1-1-1-122-2-2-1-1-12111111-2-2-1-1-12111111-2-200000022222-1-1-122-1-1-12-1-1-1-1-1-122-2-2-1-1-12111111-2-2-1-1-12111111-2-2000000
χ172222-22222-222222222222200-2-2-2-200000000-2-2-2-2000000000000002222-22222-222222222222200-2-2-2-200000000-2-2-2-2000000000000002222-22222-222222222222200-2-2-2-200000000-2-2-2-200000000000000
χ182222-22-1-1-1-22-1-1-122-1-1-1-1-1-100-211100−i3i3−i3i3−i3i3-211100−i3i3−i3i3−i3i30000002222-22-1-1-1-22-1-1-122-1-1-1-1-1-100-211100−i3i3−i3i3−i3i3-211100−i3i3−i3i3−i3i30000002222-22-1-1-1-22-1-1-122-1-1-1-1-1-100-211100−i3i3−i3i3−i3i3-211100−i3i3−i3i3−i3i3000000
χ192222-22-1-1-1-22-1-1-122-1-1-1-1-1-100-211100i3−i3i3−i3i3−i3-211100i3−i3i3−i3i3−i30000002222-22-1-1-1-22-1-1-122-1-1-1-1-1-100-211100i3−i3i3−i3i3−i3-211100i3−i3i3−i3i3−i30000002222-22-1-1-1-22-1-1-122-1-1-1-1-1-100-211100i3−i3i3−i3i3−i3-211100i3−i3i3−i3i3−i3000000
χ202222-2-12-1-1-2-12-1-1-1-122-1-1-1-1001-211−i3i300−i3i3i3−i31-211−i3i300−i3i3i3−i30000002222-2-12-1-1-2-12-1-1-1-122-1-1-1-1001-211−i3i300−i3i3i3−i31-211−i3i300−i3i3i3−i30000002222-2-12-1-1-2-12-1-1-1-122-1-1-1-1001-211−i3i300−i3i3i3−i31-211−i3i300−i3i3i3−i3000000
χ212222-2-12-1-1-2-12-1-1-1-122-1-1-1-1001-211i3−i300i3−i3−i3i31-211i3−i300i3−i3−i3i30000002222-2-12-1-1-2-12-1-1-1-122-1-1-1-1001-211i3−i300i3−i3−i3i31-211i3−i300i3−i3−i3i30000002222-2-12-1-1-2-12-1-1-1-122-1-1-1-1001-211i3−i300i3−i3−i3i31-211i3−i300i3−i3−i3i3000000
χ222222-2-1-12-1-2-1-12-1-1-1-1-122-1-10011-21−i3i3i3−i300−i3i311-21−i3i3i3−i300−i3i30000002222-2-1-12-1-2-1-12-1-1-1-1-122-1-10011-21−i3i3i3−i300−i3i311-21−i3i3i3−i300−i3i30000002222-2-1-12-1-2-1-12-1-1-1-1-122-1-10011-21−i3i3i3−i300−i3i311-21−i3i3i3−i300−i3i3000000
χ232222-2-1-12-1-2-1-12-1-1-1-1-122-1-10011-21i3−i3−i3i300i3−i311-21i3−i3−i3i300i3−i30000002222-2-1-12-1-2-1-12-1-1-1-1-122-1-10011-21i3−i3−i3i300i3−i311-21i3−i3−i3i300i3−i30000002222-2-1-12-1-2-1-12-1-1-1-1-122-1-10011-21i3−i3−i3i300i3−i311-21i3−i3−i3i300i3−i3000000
χ242222-2-1-1-12-2-1-1-12-1-1-1-1-1-12200111-2−i3i3−i3i3i3−i300111-2−i3i3−i3i3i3−i3000000002222-2-1-1-12-2-1-1-12-1-1-1-1-1-12200111-2−i3i3−i3i3i3−i300111-2−i3i3−i3i3i3−i3000000002222-2-1-1-12-2-1-1-12-1-1-1-1-1-12200111-2−i3i3−i3i3i3−i300111-2−i3i3−i3i3i3−i300000000
χ252222-2-1-1-12-2-1-1-12-1-1-1-1-1-12200111-2i3−i3i3−i3−i3i300111-2i3−i3i3−i3−i3i3000000002222-2-1-1-12-2-1-1-12-1-1-1-1-1-12200111-2i3−i3i3−i3−i3i300111-2i3−i3i3−i3−i3i3000000002222-2-1-1-12-2-1-1-12-1-1-1-1-1-12200111-2i3−i3i3−i3−i3i300111-2i3−i3i3−i3−i3i300000000
χ2622-2-222222-22222-2-2-2-2-2-2-2-200222200000000-2-2-2-20000000000000022-2-222222-22222-2-2-2-2-2-2-2-200222200000000-2-2-2-20000000000000022-2-222222-22222-2-2-2-2-2-2-2-200222200000000-2-2-2-200000000000000
χ2722-2-222-1-1-1-22-1-1-1-2-2111111002-1-1-100−i3i3−i3i3−i3i3-211100i3−i3i3−i3i3−i300000022-2-222-1-1-1-22-1-1-1-2-2111111002-1-1-100−i3i3−i3i3−i3i3-211100i3−i3i3−i3i3−i300000022-2-222-1-1-1-22-1-1-1-2-2111111002-1-1-100−i3i3−i3i3−i3i3-211100i3−i3i3−i3i3−i3000000
χ2822-2-222-1-1-1-22-1-1-1-2-2111111002-1-1-100i3−i3i3−i3i3−i3-211100−i3i3−i3i3−i3i300000022-2-222-1-1-1-22-1-1-1-2-2111111002-1-1-100i3−i3i3−i3i3−i3-211100−i3i3−i3i3−i3i300000022-2-222-1-1-1-22-1-1-1-2-2111111002-1-1-100i3−i3i3−i3i3−i3-211100−i3i3−i3i3−i3i3000000
χ2922-2-22-12-1-1-2-12-1-111-2-2111100-12-1-1−i3i300−i3i3i3−i31-211i3−i300i3−i3−i3i300000022-2-22-12-1-1-2-12-1-111-2-2111100-12-1-1−i3i300−i3i3i3−i31-211i3−i300i3−i3−i3i300000022-2-22-12-1-1-2-12-1-111-2-2111100-12-1-1−i3i300−i3i3i3−i31-211i3−i300i3−i3−i3i3000000
χ3022-2-22-12-1-1-2-12-1-111-2-2111100-12-1-1i3−i300i3−i3−i3i31-211−i3i300−i3i3i3−i300000022-2-22-12-1-1-2-12-1-111-2-2111100-12-1-1i3−i300i3−i3−i3i31-211−i3i300−i3i3i3−i300000022-2-22-12-1-1-2-12-1-111-2-2111100-12-1-1i3−i300i3−i3−i3i31-211−i3i300−i3i3i3−i3000000
χ3122-2-22-1-12-1-2-1-12-11111-2-21100-1-12-1−i3i3i3−i300−i3i311-21i3−i3−i3i300i3−i300000022-2-22-1-12-1-2-1-12-11111-2-21100-1-12-1−i3i3i3−i300−i3i311-21i3−i3−i3i300i3−i300000022-2-22-1-12-1-2-1-12-11111-2-21100-1-12-1−i3i3i3−i300−i3i311-21i3−i3−i3i300i3−i3000000
χ3222-2-22-1-12-1-2-1-12-11111-2-21100-1-12-1i3−i3−i3i300i3−i311-21−i3i3i3−i300−i3i300000022-2-22-1-12-1-2-1-12-11111-2-21100-1-12-1i3−i3−i3i300i3−i311-21−i3i3i3−i300−i3i300000022-2-22-1-12-1-2-1-12-11111-2-21100-1-12-1i3−i3−i3i300i3−i311-21−i3i3i3−i300−i3i3000000
χ3322-2-22-1-1-12-2-1-1-12111111-2-200-1-1-12−i3i3−i3i3i3−i300111-2i3−i3i3−i3−i3i30000000022-2-22-1-1-12-2-1-1-12111111-2-200-1-1-12−i3i3−i3i3i3−i300111-2i3−i3i3−i3−i3i30000000022-2-22-1-1-12-2-1-1-12111111-2-200-1-1-12−i3i3−i3i3i3−i300111-2i3−i3i3−i3−i3i300000000
χ3422-2-22-1-1-12-2-1-1-12111111-2-200-1-1-12i3−i3i3−i3−i3i300111-2−i3i3−i3i3i3−i30000000022-2-22-1-1-12-2-1-1-12111111-2-200-1-1-12i3−i3i3−i3−i3i300111-2−i3i3−i3i3i3−i30000000022-2-22-1-1-12-2-1-1-12111111-2-200-1-1-12i3−i3i3−i3−i3i300111-2−i3i3−i3i3i3−i300000000
χ3522-2-2-22-1-1-122-1-1-1-2-21111112-2-211122-1-1-1-1-1-12-1-1-1-2-211111100000022-2-2-22-1-1-122-1-1-1-2-21111112-2-211122-1-1-1-1-1-12-1-1-1-2-211111100000022-2-2-22-1-1-122-1-1-1-2-21111112-2-211122-1-1-1-1-1-12-1-1-1-2-2111111000000
χ3622-2-2-22-1-1-122-1-1-1-2-2111111-22-2111-2-21111112-1-1-122-1-1-1-1-1-100000022-2-2-22-1-1-122-1-1-1-2-2111111-22-2111-2-21111112-1-1-122-1-1-1-1-1-100000022-2-2-22-1-1-122-1-1-1-2-2111111-22-2111-2-21111112-1-1-122-1-1-1-1-1-1000000
χ3722-2-2-2-12-1-12-12-1-111-2-211112-21-211-1-122-1-1-1-1-12-1-111-2-2111100000022-2-2-2-12-1-12-12-1-111-2-211112-21-211-1-122-1-1-1-1-12-1-111-2-2111100000022-2-2-2-12-1-12-12-1-111-2-211112-21-211-1-122-1-1-1-1-12-1-111-2-21111000000
χ3822-2-2-2-12-1-12-12-1-111-2-21111-221-21111-2-21111-12-1-1-1-122-1-1-1-100000022-2-2-2-12-1-12-12-1-111-2-21111-221-21111-2-21111-12-1-1-1-122-1-1-1-100000022-2-2-2-12-1-12-12-1-111-2-21111-221-21111-2-21111-12-1-1-1-122-1-1-1-1000000
χ3922-2-2-2-1-12-12-1-12-11111-2-2112-211-21-1-1-1-122-1-1-1-12-11111-2-21100000022-2-2-2-1-12-12-1-12-11111-2-2112-211-21-1-1-1-122-1-1-1-12-11111-2-21100000022-2-2-2-1-12-12-1-12-11111-2-2112-211-21-1-1-1-122-1-1-1-12-11111-2-211000000
χ4022-2-2-2-1-12-12-1-12-11111-2-211-2211-211111-2-211-1-12-1-1-1-1-122-1-100000022-2-2-2-1-12-12-1-12-11111-2-211-2211-211111-2-211-1-12-1-1-1-1-122-1-100000022-2-2-2-1-12-12-1-12-11111-2-211-2211-211111-2-211-1-12-1-1-1-1-122-1-1000000
χ4122-2-2-2-1-1-122-1-1-12111111-2-22-2111-2-1-1-1-1-1-122-1-1-12111111-2-200000022-2-2-2-1-1-122-1-1-12111111-2-22-2111-2-1-1-1-1-1-122-1-1-12111111-2-200000022-2-2-2-1-1-122-1-1-12111111-2-22-2111-2-1-1-1-1-1-122-1-1-12111111-2-2000000
χ4222-2-2-2-1-1-122-1-1-12111111-2-2-22111-2111111-2-2-1-1-12-1-1-1-1-1-12200000022-2-2-2-1-1-122-1-1-12111111-2-2-22111-2111111-2-2-1-1-12-1-1-1-1-1-12200000022-2-2-2-1-1-122-1-1-12111111-2-2-22111-2111111-2-2-1-1-12-1-1-1-1-1-122000000
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χ1534-4−4i4i044440-4-4-4-4−4i4i−4i4i−4i4i−4i4i0000000000000000000000000022−222i2−2i200-222i−2i0-2-2-2-2022222i−2i2i−2i2i−2i2i−2i00000000000000000000000000−22−i2i200000000000000000000000000000000000000000000000000000000
χ1544-4−4i4i044440-4-4-4-4−4i4i−4i4i−4i4i−4i4i00000000000000000000000000−2222−2i22i200-222i−2i0-2-2-2-2022222i−2i2i−2i2i−2i2i−2i000000000000000000000000002−2i2−i200000000000000000000000000000000000000000000000000000000
χ1558-88i−8i08-4-4-40-84448i−8i−4i4i−4i4i−4i4i00000000000000000000000000000000-44−4i4i0-422204-2-2-2−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88i−8i0-48-4-404-844−4i4i8i−8i−4i4i−4i4i00000000000000000000000000000000-44−4i4i02-4220-24-2-22i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1578-88i−8i0-4-48-4044-84−4i4i−4i4i8i−8i−4i4i00000000000000000000000000000000-44−4i4i022-420-2-24-22i−2i2i−2i−4i4i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-88i−8i0-4-4-480444-8−4i4i−4i4i−4i4i8i−8i00000000000000000000000000000000-44−4i4i0222-40-2-2-242i−2i2i−2i2i−2i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-8−8i8i08-4-4-40-8444−8i8i4i−4i4i−4i4i−4i00000000000000000000000000000000-444i−4i0-422204-2-2-24i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8−8i8i0-48-4-404-8444i−4i−8i8i4i−4i4i−4i00000000000000000000000000000000-444i−4i02-4220-24-2-2−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8−8i8i0-4-48-4044-844i−4i4i−4i−8i8i4i−4i00000000000000000000000000000000-444i−4i022-420-2-24-2−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8−8i8i0-4-4-480444-84i−4i4i−4i4i−4i−8i8i00000000000000000000000000000000-444i−4i0222-40-2-2-24−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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