Finite Group Databasebeta

← Group #11923401

Character table — Group #11923401

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444666688888888888888121212121212121212121212121216161616161616161616161616161616363636364848484848484848
order1223446662233666666121222443366666666121212122444668812121212121266666666666612121212248866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-111-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111−1+i32−1−i321111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411111111111−1+i32−1−i321111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-111-1-1111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ511111111111−1−i32−1+i321111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111111−1−i32−1+i321111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-111-1-1111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ7111111111-1-111-1-1-1-111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ8111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ9111111111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1111-1-111-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ10111111111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ11111111111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1111-1-111-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ12111111111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ1311-11-11-1-111-11111-1-1111-11-11-111-1-1-1-1-1-111-1-11111-1-11-11-11-111-1-11-11-111-1-111-1-11-11-1-111-111-1-11-11-1
χ1411-11-11-1-111-11111-1-1111-11-11-111-1-1-1-1-1-111-1-111-11-111-1-111-111-1-11-11-111-1-111-1-11-11-11-1-11-1-111-11-11
χ1511-11-11-1-111-1−1+i32−1−i3211-1-1−1+i32−1−i321-11-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3211-1-11-11-11-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32-111-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32
χ1611-11-11-1-111-1−1+i32−1−i3211-1-1−1+i32−1−i321-11-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-11-111-1-111-111-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i321-1-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1711-11-11-1-111-1−1−i32−1+i3211-1-1−1−i32−1+i321-11-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3211-1-11-11-11-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32-111-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32
χ1811-11-11-1-111-1−1−i32−1+i3211-1-1−1−i32−1+i321-11-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11-111-1-111-111-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i321-1-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ1911-11-11-1-11-1111-1-111111-11-11-111-1-1-1-1-1-111-1-1111-11-11-1-111-1-1-111-11-11-1-111-1-1111-11-1-11-1111-1-1-11-11
χ2011-11-11-1-11-1111-1-111111-11-11-111-1-1-1-1-1-111-1-111-1-1111-11-11-1-1-111-11-11-1-111-1-1111-11-11-11-1-1-1111-11-1
χ2111-11-11-1-11-11−1+i32−1−i32-1-111−1+i32−1−i321-11-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321-11-11-1-111-1-1-1111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i32-11-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ2211-11-11-1-11-11−1+i32−1−i32-1-111−1+i32−1−i321-11-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-1111-11-11-1-1-1111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i321-11-11−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2311-11-11-1-11-11−1−i32−1+i32-1-111−1−i32−1+i321-11-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321-11-11-1-111-1-1-1111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i32-11-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
χ2411-11-11-1-11-11−1−i32−1+i32-1-111−1−i32−1+i321-11-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-1111-11-11-1-1-1111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i321-11-11+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ252222-2-22220022000022-2-2-2-2222222222222-2-2-2-20000-2-200220000000000000000-2-2-2-2000000000000
χ262222-2-222200−1+i3−1−i30000−1+i3−1−i3-2-2-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000-2-2002200000000000000001−i31−i31+i31+i3000000000000
χ272222-2-222200−1−i3−1+i30000−1−i3−1+i3-2-2-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000-2-2002200000000000000001+i31+i31−i31−i3000000000000
χ28222-122-1-1-12222-1-1-1-122-1-12222-1-122-1-1-1-1-1-122220220-1-100-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ29222-122-1-1-122−1+i3−1−i3-1-1-1-1−1+i3−1−i3-1-122221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i30220-1-100-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32000000000000
χ30222-122-1-1-122−1−i3−1+i3-1-1-1-1−1−i3−1+i3-1-122221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i30220-1-100-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32000000000000
χ31222-122-1-1-1-2-222111122-1-12222-1-122-1-1-1-1-1-122220-2-20-1-100-1-11111-2-2-2-211111111-1-1-1-1000000000000
χ32222-122-1-1-1-2-2−1+i3−1−i31111−1+i3−1−i3-1-122221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i30-2-20-1-100-1-111111−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32000000000000
χ33222-122-1-1-1-2-2−1−i3−1+i31111−1−i3−1+i3-1-122221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i30-2-20-1-100-1-111111+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32000000000000
χ34222-1-2-2-1-1-10022i3−i3i3−i32211-2-222-1-122-1-1-1-1-1-1-2-2-2-200001100-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i31111000000000000
χ35222-1-2-2-1-1-10022−i3i3−i3i32211-2-222-1-122-1-1-1-1-1-1-2-2-2-200001100-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i31111000000000000
χ36222-1-2-2-1-1-100−1+i3−1−i3i3−i3i3−i3−1+i3−1−i311-2-2221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i31+i31−i31+i300001100-1-1i3−i3i3−i30000−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32−1+i32−1+i32−1−i32−1−i32000000000000
χ37222-1-2-2-1-1-100−1+i3−1−i3−i3i3−i3i3−1+i3−1−i311-2-2221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i31+i31−i31+i300001100-1-1−i3i3−i3i300003+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32−1+i32−1+i32−1−i32−1−i32000000000000
χ38222-1-2-2-1-1-100−1−i3−1+i3i3−i3i3−i3−1−i3−1+i311-2-2221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i31−i31+i31−i300001100-1-1i3−i3i3−i300003−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32−1−i32−1−i32−1+i32−1+i32000000000000
χ39222-1-2-2-1-1-100−1−i3−1+i3−i3i3−i3i3−1−i3−1+i311-2-2221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i31−i31+i31−i300001100-1-1−i3i3−i3i30000−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32−1−i32−1−i32−1+i32−1+i32000000000000
χ4022-222-2-2-220022000022-22-222-222-2-2-2-2-2-22222-2-20000-22002-20000000000000000-22-22000000000000
χ4122-222-2-2-2200−1+i3−1−i30000−1+i3−1−i3-22-222-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000-22002-200000000000000001−i3−1+i31+i3−1−i3000000000000
χ4222-222-2-2-2200−1−i3−1+i30000−1−i3−1+i3-22-222-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000-22002-200000000000000001+i3−1−i31−i3−1+i3000000000000
χ4322-2-12-211-10022i3−i3−i3i3221-1-222-2-1-1-2-21111-1-122-2-200001-100-11i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i31-11-1000000000000
χ4422-2-12-211-10022−i3i3i3−i3221-1-222-2-1-1-2-21111-1-122-2-200001-100-11−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i31-11-1000000000000
χ4522-2-12-211-100−1+i3−1−i3i3−i3−i3i3−1+i3−1−i31-1-222-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i3−1−i31−i31+i300001-100-11i3−i3−i3i30000−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32−1+i321−i32−1−i321+i32000000000000
χ4622-2-12-211-100−1+i3−1−i3−i3i3i3−i3−1+i3−1−i31-1-222-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i3−1−i31−i31+i300001-100-11−i3i3i3−i300003+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32−1+i321−i32−1−i321+i32000000000000
χ4722-2-12-211-100−1−i3−1+i3i3−i3−i3i3−1−i3−1+i31-1-222-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i3−1+i31+i31−i300001-100-11i3−i3−i3i300003−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32−1−i321+i32−1+i321−i32000000000000
χ4822-2-12-211-100−1−i3−1+i3−i3i3i3−i3−1−i3−1+i31-1-222-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i3−1+i31+i31−i300001-100-11−i3i3i3−i30000−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32−1−i321+i32−1+i321−i32000000000000
χ4922-2-1-2211-12-222-1-11122-112-22-2-1-1-2-21111-1-1-2-22202-20-1100-11-1-1112-22-2-1-111-1-111-11-11000000000000
χ5022-2-1-2211-12-2−1+i3−1−i3-1-111−1+i3−1−i3-112-22-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i31+i3−1+i3−1−i302-20-1100-11-1-111−1+i31−i3−1−i31+i31−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i32−1+i321+i32−1−i32000000000000
χ5122-2-1-2211-12-2−1−i3−1+i3-1-111−1−i3−1+i3-112-22-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i31−i3−1−i3−1+i302-20-1100-11-1-111−1−i31+i3−1+i31−i31+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i32−1−i321−i32−1+i32000000000000
χ5222-2-1-2211-1-222211-1-122-112-22-2-1-1-2-21111-1-1-2-2220-220-1100-1111-1-1-22-2211-1-111-1-1-11-11000000000000
χ5322-2-1-2211-1-22−1+i3−1−i311-1-1−1+i3−1−i3-112-22-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i31+i3−1+i3−1−i30-220-1100-1111-1-11−i3−1+i31+i3−1−i3−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i32−1+i321+i32−1−i32000000000000
χ5422-2-1-2211-1-22−1−i3−1+i311-1-1−1−i3−1+i3-112-22-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i31−i3−1−i3−1+i30-220-1100-1111-1-11+i3−1−i31−i3−1+i3−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i32000000000000
χ55333333333330033330033-1-1-1-1000000000000003-1-13-1-133-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ56333333333330033330033-1-1-1-100000000000000-3-1-1-3-1-1-3-3-1-1-1-1-1-10000000000000000111100000000
χ57333333333-3-300-3-3-3-30033-1-1-1-1000000000000003113-1-1-3-3-1-111110000000000000000-1-11100000000
χ58333333333-3-300-3-3-3-30033-1-1-1-100000000000000-311-3-1-133-1-11111000000000000000011-1-100000000
χ5933-33-33-3-333-30033-3-3003-3-11-11000000000000003-11-3-113-3-11-1-11100000000000000001-1-1100000000
χ6033-33-33-3-333-30033-3-3003-3-11-1100000000000000-3-113-11-33-11-1-1110000000000000000-111-100000000
χ6133-33-33-3-33-3300-3-333003-3-11-110000000000000031-1-3-11-33-1111-1-100000000000000001-11-100000000
χ6233-33-33-3-33-3300-3-333003-3-11-1100000000000000-31-13-113-3-1111-1-10000000000000000-11-1100000000
χ636666-6-66660000000000-6-622-2-20000000000000000002200-2-200000000000000000000000000000000
χ64666-366-3-3-36600-3-3-3-300-3-3-2-2-2-2000000000000000-2-2011001111110000000000000000000000000000
χ65666-366-3-3-3-6-600333300-3-3-2-2-2-2000000000000000220110011-1-1-1-10000000000000000000000000000
χ66666-3-6-6-3-3-300003i3−3i33i3−3i3003322-2-2000000000000000000-1-10011−i3i3−i3i30000000000000000000000000000
χ67666-3-6-6-3-3-30000−3i33i3−3i33i3003322-2-2000000000000000000-1-10011i3−i3i3−i30000000000000000000000000000
χ6866-666-6-6-660000000000-662-2-220000000000000000002-200-2200000000000000000000000000000000
χ6966-6-36-633-300003i3−3i3−3i33i3003-32-2-22000000000000000000-11001-1−i3i3i3−i30000000000000000000000000000
χ7066-6-36-633-30000−3i33i33i3−3i3003-32-2-22000000000000000000-11001-1i3−i3−i3i30000000000000000000000000000
χ7166-6-3-6633-36-600-3-33300-33-22-22000000000000000-2201-1001-111-1-10000000000000000000000000000
χ7266-6-3-6633-3-660033-3-300-33-22-220000000000000002-201-1001-1-1-1110000000000000000000000000000
χ738-8080000-800-4-4000044000000-4-4000000440000000000000000000000000000000000000000000000
χ748-8080000-8002−2i32+2i30000−2+2i3−2−2i30000002−2i32+2i3000000−2+2i3−2−2i30000000000000000000000000000000000000000000000
χ758-8080000-8002+2i32−2i30000−2−2i3−2+2i30000002+2i32−2i3000000−2−2i3−2+2i30000000000000000000000000000000000000000000000
χ768-80-4004i3−4i3400-4-400004400000022002i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000
χ778-80-4004i3−4i34002−2i32+2i30000−2+2i3−2−2i3000000−1+i3−1−i300−3−i33+i33−i3−3+i31−i31+i30000000000000000000000000000000000000000000000
χ788-80-4004i3−4i34002+2i32−2i30000−2−2i3−2+2i3000000−1−i3−1+i3003−i3−3+i3−3−i33+i31+i31−i30000000000000000000000000000000000000000000000
χ798-80-400−4i34i3400-4-40000440000002200−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000
χ808-80-400−4i34i34002−2i32+2i30000−2+2i3−2−2i3000000−1+i3−1−i3003+i3−3−i3−3+i33−i31−i31+i30000000000000000000000000000000000000000000000
χ818-80-400−4i34i34002+2i32−2i30000−2−2i3−2+2i3000000−1−i3−1+i300−3+i33−i33+i3−3−i31+i31−i30000000000000000000000000000000000000000000000

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