Finite Group Databasebeta

← Group #13177710

Character table — Group #13177710

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1122222222222334444444444444444444444666666666888888888888812121212121212121212121212181836363654547210811222222222223344444444444444444444446666666668888888888888121212121212121212121212121818363636545472108
order12333334666664423333666666666666121212121221212121212121212666666666121212124666612121212121212128842424881222266666466666442666666666666666612121212122121212121212121266666666612121212466661212121212121212884242488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-111-11111-1-1111111111111111-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-111-11111-1-1
χ4111111111111111-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ51111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1
χ61111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ71111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111111-111-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111111-111-1-1-11
χ81111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-11-1-1111-11111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-11-1-1111-1
χ92222222-2222222202222000000002222-2-2-2-2-2-222222222000000000-2-2-2-20-2-2-2-2000000000000000002222222-2222222202222000000002222-2-2-2-2-2-222222222000000000-2-2-2-20-2-2-2-200000000000000000
χ102222222-222222-2-202222000000002222-2-2-2-2-22-2-2-2-2-2-2-2-2000000000-2-2-2-202222000000000000000002222222-222222-2-202222000000002222-2-2-2-2-22-2-2-2-2-2-2-2-2000000000-2-2-2-20222200000000000000000
χ112222-1-1-122-1-1-122222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-10000000002222-1-1-122-1-1-122222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-1000000000
χ122222-1-1-122-1-1-1222-22-1-1-1-2-21111112-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-21111112-1-1-1-22-1-1-1-2-21111110000000002222-1-1-122-1-1-1222-22-1-1-1-2-21111112-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-21111112-1-1-1-22-1-1-1-2-2111111000000000
χ132222-1-1-122-1-1-12-2-222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-2-2-2111111222-1-1-1-1-1-12-1-1-1-2-2111-2-21111110000000002222-1-1-122-1-1-12-2-222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-2-2-2111111222-1-1-1-1-1-12-1-1-1-2-2111-2-2111111000000000
χ142222-1-1-122-1-1-12-2-2-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2-2111111-2-2-21111112-1-1-12-211122-1-1-1-1-1-10000000002222-1-1-122-1-1-12-2-2-22-1-1-1-2-21111112-1-1-12-1-1-12-2-2-2111111-2-2-21111112-1-1-12-211122-1-1-1-1-1-1000000000
χ152222-1-1-1-22-1-1-122202-1-1-100−i3−i3−i3i3i3i32-1-1-1-2111-2-222-1-1-1-1-1-1000−i3−i3−i3i3i3i3-21110-211100−i3−i3−i3i3i3i30000000002222-1-1-1-22-1-1-122202-1-1-100−i3−i3−i3i3i3i32-1-1-1-2111-2-222-1-1-1-1-1-1000−i3−i3−i3i3i3i3-21110-211100−i3−i3−i3i3i3i3000000000
χ162222-1-1-1-22-1-1-122202-1-1-100i3i3i3−i3−i3−i32-1-1-1-2111-2-222-1-1-1-1-1-1000i3i3i3−i3−i3−i3-21110-211100i3i3i3−i3−i3−i30000000002222-1-1-1-22-1-1-122202-1-1-100i3i3i3−i3−i3−i32-1-1-1-2111-2-222-1-1-1-1-1-1000i3i3i3−i3−i3−i3-21110-211100i3i3i3−i3−i3−i3000000000
χ172222-1-1-1-22-1-1-12-2-202-1-1-100−i3−i3−i3i3i3i32-1-1-1-2111-22-2-2111111000−i3−i3−i3i3i3i3-211102-1-1-100i3i3i3−i3−i3−i30000000002222-1-1-1-22-1-1-12-2-202-1-1-100−i3−i3−i3i3i3i32-1-1-1-2111-22-2-2111111000−i3−i3−i3i3i3i3-211102-1-1-100i3i3i3−i3−i3−i3000000000
χ182222-1-1-1-22-1-1-12-2-202-1-1-100i3i3i3−i3−i3−i32-1-1-1-2111-22-2-2111111000i3i3i3−i3−i3−i3-211102-1-1-100−i3−i3−i3i3i3i30000000002222-1-1-1-22-1-1-12-2-202-1-1-100i3i3i3−i3−i3−i32-1-1-1-2111-22-2-2111111000i3i3i3−i3−i3−i3-211102-1-1-100−i3−i3−i3i3i3i3000000000
χ19222-12-1-12-12-1-12222-12-1-1-1-12-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-12-1-12-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-1000000000222-12-1-12-12-1-12222-12-1-1-1-12-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-12-1-12-1-12-1-1-12-1-12-12-1-1-1-12-1-12-1-1000000000
χ20222-12-1-12-12-1-1222-2-12-1-111-211-211-12-1-1-12-1-122-1-122-1-1-1-1-211-211-211-12-1-1-2-12-1-111-211-211000000000222-12-1-12-12-1-1222-2-12-1-111-211-211-12-1-1-12-1-122-1-122-1-1-1-1-211-211-211-12-1-1-2-12-1-111-211-211000000000
χ21222-12-1-12-12-1-12-2-22-12-1-1-1-12-1-12-1-1-12-1-1-12-1-12-211-2-211112-1-12-1-12-1-1-12-1-1-21-21111-211-211000000000222-12-1-12-12-1-12-2-22-12-1-1-1-12-1-12-1-1-12-1-1-12-1-12-211-2-211112-1-12-1-12-1-1-12-1-1-21-21111-211-211000000000
χ22222-12-1-12-12-1-12-2-2-2-12-1-111-211-211-12-1-1-12-1-12-211-2-21111-211-211-211-12-1-121-211-1-12-1-12-1-1000000000222-12-1-12-12-1-12-2-2-2-12-1-111-211-211-12-1-1-12-1-12-211-2-21111-211-211-211-12-1-121-211-1-12-1-12-1-1000000000
χ23222-12-1-1-2-12-1-12220-12-1-1−i3i30−i3i30−i3i3-12-1-11-211-2-2-1-122-1-1-1-10−i3i30−i3i30−i3i31-21101-211−i3i30−i3i30−i3i3000000000222-12-1-1-2-12-1-12220-12-1-1−i3i30−i3i30−i3i3-12-1-11-211-2-2-1-122-1-1-1-10−i3i30−i3i30−i3i31-21101-211−i3i30−i3i30−i3i3000000000
χ24222-12-1-1-2-12-1-12220-12-1-1i3−i30i3−i30i3−i3-12-1-11-211-2-2-1-122-1-1-1-10i3−i30i3−i30i3−i31-21101-211i3−i30i3−i30i3−i3000000000222-12-1-1-2-12-1-12220-12-1-1i3−i30i3−i30i3−i3-12-1-11-211-2-2-1-122-1-1-1-10i3−i30i3−i30i3−i31-21101-211i3−i30i3−i30i3−i3000000000
χ25222-12-1-1-2-12-1-12-2-20-12-1-1−i3i30−i3i30−i3i3-12-1-11-211-2211-2-211110−i3i30−i3i30−i3i31-2110-12-1-1i3−i30i3−i30i3−i3000000000222-12-1-1-2-12-1-12-2-20-12-1-1−i3i30−i3i30−i3i3-12-1-11-211-2211-2-211110−i3i30−i3i30−i3i31-2110-12-1-1i3−i30i3−i30i3−i3000000000
χ26222-12-1-1-2-12-1-12-2-20-12-1-1i3−i30i3−i30i3−i3-12-1-11-211-2211-2-211110i3−i30i3−i30i3−i31-2110-12-1-1−i3i30−i3i30−i3i3000000000222-12-1-1-2-12-1-12-2-20-12-1-1i3−i30i3−i30i3−i3-12-1-11-211-2211-2-211110i3−i30i3−i30i3−i31-2110-12-1-1−i3i30−i3i30−i3i3000000000
χ27222-1-12-12-1-12-12222-1-12-1-1-1-12-1-1-12-1-12-1-1-12-122-1-1-1-122-1-12-1-1-12-1-1-12-1-12-12-1-12-1-1-1-12-1-1-12000000000222-1-12-12-1-12-12222-1-12-1-1-1-12-1-1-12-1-12-1-1-12-122-1-1-1-122-1-12-1-1-12-1-1-12-1-12-12-1-12-1-1-1-12-1-1-12000000000
χ28222-1-12-12-1-12-1222-2-1-12-1111-2111-2-1-12-1-1-12-122-1-1-1-122-1-1-2111-2111-2-1-12-1-2-1-12-1111-2111-2000000000222-1-12-12-1-12-1222-2-1-12-1111-2111-2-1-12-1-1-12-122-1-1-1-122-1-1-2111-2111-2-1-12-1-2-1-12-1111-2111-2000000000
χ29222-1-12-12-1-12-12-2-22-1-12-1-1-1-12-1-1-12-1-12-1-1-12-12-21111-2-2112-1-1-12-1-1-12-1-12-1-211-21111-2111-2000000000222-1-12-12-1-12-12-2-22-1-12-1-1-1-12-1-1-12-1-12-1-1-12-12-21111-2-2112-1-1-12-1-1-12-1-12-1-211-21111-2111-2000000000
χ30222-1-12-12-1-12-12-2-2-2-1-12-1111-2111-2-1-12-1-1-12-12-21111-2-211-2111-2111-2-1-12-1211-21-1-1-12-1-1-12000000000222-1-12-12-1-12-12-2-2-2-1-12-1111-2111-2-1-12-1-1-12-12-21111-2-211-2111-2111-2-1-12-1211-21-1-1-12-1-1-12000000000
χ31222-1-12-1-2-1-12-12220-1-12-1−i3i3i30−i3−i3i30-1-12-111-21-2-2-1-1-1-122-1-10−i3i3i30−i3−i3i3011-21011-21−i3i3i30−i3−i3i30000000000222-1-12-1-2-1-12-12220-1-12-1−i3i3i30−i3−i3i30-1-12-111-21-2-2-1-1-1-122-1-10−i3i3i30−i3−i3i3011-21011-21−i3i3i30−i3−i3i30000000000
χ32222-1-12-1-2-1-12-12220-1-12-1i3−i3−i30i3i3−i30-1-12-111-21-2-2-1-1-1-122-1-10i3−i3−i30i3i3−i3011-21011-21i3−i3−i30i3i3−i30000000000222-1-12-1-2-1-12-12220-1-12-1i3−i3−i30i3i3−i30-1-12-111-21-2-2-1-1-1-122-1-10i3−i3−i30i3i3−i3011-21011-21i3−i3−i30i3i3−i30000000000
χ33222-1-12-1-2-1-12-12-2-20-1-12-1−i3i3i30−i3−i3i30-1-12-111-21-221111-2-2110−i3i3i30−i3−i3i3011-210-1-12-1i3−i3−i30i3i3−i30000000000222-1-12-1-2-1-12-12-2-20-1-12-1−i3i3i30−i3−i3i30-1-12-111-21-221111-2-2110−i3i3i30−i3−i3i3011-210-1-12-1i3−i3−i30i3i3−i30000000000
χ34222-1-12-1-2-1-12-12-2-20-1-12-1i3−i3−i30i3i3−i30-1-12-111-21-221111-2-2110i3−i3−i30i3i3−i3011-210-1-12-1−i3i3i30−i3−i3i30000000000222-1-12-1-2-1-12-12-2-20-1-12-1i3−i3−i30i3i3−i30-1-12-111-21-221111-2-2110i3−i3−i30i3i3−i3011-210-1-12-1−i3i3i30−i3−i3i30000000000
χ35222-1-1-122-1-1-122222-1-1-12-1-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-12-12-1-1-1-122-1-1-12-1-1-1-12-12-1000000000222-1-1-122-1-1-122222-1-1-12-1-1-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-12-12-1-1-1-122-1-1-12-1-1-1-12-12-1000000000
χ36222-1-1-122-1-1-12222-2-1-1-121111-21-21-1-1-12-1-1-1222-1-1-1-1-1-122-21111-21-21-1-1-12-2-1-1-121111-21-21000000000222-1-1-122-1-1-12222-2-1-1-121111-21-21-1-1-12-1-1-1222-1-1-1-1-1-122-21111-21-21-1-1-12-2-1-1-121111-21-21000000000
χ37222-1-1-122-1-1-122-2-22-1-1-12-1-1-1-12-12-1-1-1-12-1-1-122-2111111-2-22-1-1-1-12-12-1-1-1-12-2111-21111-21-21000000000222-1-1-122-1-1-122-2-22-1-1-12-1-1-1-12-12-1-1-1-12-1-1-122-2111111-2-22-1-1-1-12-12-1-1-1-12-2111-21111-21-21000000000
χ38222-1-1-122-1-1-122-2-2-2-1-1-121111-21-21-1-1-12-1-1-122-2111111-2-2-21111-21-21-1-1-122111-2-1-1-1-12-12-1000000000222-1-1-122-1-1-122-2-2-2-1-1-121111-21-21-1-1-12-1-1-122-2111111-2-2-21111-21-21-1-1-122111-2-1-1-1-12-12-1000000000
χ39222-1-1-12-2-1-1-122220-1-1-12−i3i3−i3i30i30−i3-1-1-12111-2-2-2-1-1-1-1-1-1220−i3i3−i3i30i30−i3111-20111-2−i3i3−i3i30i30−i3000000000222-1-1-12-2-1-1-122220-1-1-12−i3i3−i3i30i30−i3-1-1-12111-2-2-2-1-1-1-1-1-1220−i3i3−i3i30i30−i3111-20111-2−i3i3−i3i30i30−i3000000000
χ40222-1-1-12-2-1-1-122220-1-1-12i3−i3i3−i30−i30i3-1-1-12111-2-2-2-1-1-1-1-1-1220i3−i3i3−i30−i30i3111-20111-2i3−i3i3−i30−i30i3000000000222-1-1-12-2-1-1-122220-1-1-12i3−i3i3−i30−i30i3-1-1-12111-2-2-2-1-1-1-1-1-1220i3−i3i3−i30−i30i3111-20111-2i3−i3i3−i30−i30i3000000000
χ41222-1-1-12-2-1-1-122-2-20-1-1-12−i3i3−i3i30i30−i3-1-1-12111-2-22111111-2-20−i3i3−i3i30i30−i3111-20-1-1-12i3−i3i3−i30−i30i3000000000222-1-1-12-2-1-1-122-2-20-1-1-12−i3i3−i3i30i30−i3-1-1-12111-2-22111111-2-20−i3i3−i3i30i30−i3111-20-1-1-12i3−i3i3−i30−i30i3000000000
χ42222-1-1-12-2-1-1-122-2-20-1-1-12i3−i3i3−i30−i30i3-1-1-12111-2-22111111-2-20i3−i3i3−i30−i30i3111-20-1-1-12−i3i3−i3i30i30−i3000000000222-1-1-12-2-1-1-122-2-20-1-1-12i3−i3i3−i30−i30i3-1-1-12111-2-22111111-2-20i3−i3i3−i30−i30i3111-20-1-1-12−i3i3−i3i30i30−i3000000000
χ4322-1222222222-1002-1-1-1-122222222-1-1-1-12222-1000000000-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000222-1-100-1022-1222222222-1002-1-1-1-122222222-1-1-1-12222-1000000000-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000222-1-100-10
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χ1574-4-244440-4-4-4-42000-2-2-2-20000000022220000000000000000000000000000000000000000−2i22i20i2−i20000-442-4-4-4-404444-2000222200000000-2-2-2-200000000000000000000000000000000000000002i2−2i20−i2i20000
χ1584-4-244440-4-4-4-42000-2-2-2-200000000222200000000000000000000000000000000000000002i2−2i20−i2i20000-442-4-4-4-404444-2000222200000000-2-2-2-20000000000000000000000000000000000000000−2i22i20i2−i20000
χ1598-8-48-4-4-40-84444000-4222000000004-2-2-20000000000000000000000000000000000000000000000000-884-844408-4-4-4-40004-2-2-200000000-42220000000000000000000000000000000000000000000000000
χ1608-8-4-48-4-404-84440002-42200000000-24-2-20000000000000000000000000000000000000000000000000-8844-8440-48-4-4-4000-24-2-2000000002-4220000000000000000000000000000000000000000000000000
χ1618-8-4-4-48-4044-84400022-4200000000-2-24-20000000000000000000000000000000000000000000000000-88444-840-4-48-4-4000-2-24-20000000022-420000000000000000000000000000000000000000000000000
χ1628-8-4-4-4-480444-84000222-400000000-2-2-240000000000000000000000000000000000000000000000000-884444-80-4-4-48-4000-2-2-2400000000222-40000000000000000000000000000000000000000000000000

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