Finite Group Databasebeta

← Group #11923391

Character table — Group #11923391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444666688888888888888121212121212121212121212121216161616161616161616161616161616363636364848484848484848
order1223446663344661212121212122244336666666612121212222466666688121212121212121212121212121212121212248866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-11111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111−1+i32−1−i3211−1+i32−1−i321111111111−1+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
χ6111111111−1+i32−1−i3211−1+i32−1−i321111111111−1+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−i3211-1-1111111-1-111−1+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+i32−1−i32-1-1−1+i32−1−i3211-1-1-1-11111−1+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−i32-1-11111-1-1-1-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ8111111111−1+i32−1−i32-1-1−1+i32−1−i3211-1-1-1-11111−1+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−i32-1-1-1-111-1-1-1-111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ9111111111−1−i32−1+i3211−1−i32−1+i321111111111−1−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
χ10111111111−1−i32−1+i3211−1−i32−1+i321111111111−1−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+i3211-1-1111111-1-111−1−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
χ11111111111−1−i32−1+i32-1-1−1−i32−1+i3211-1-1-1-11111−1−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+i32-1-11111-1-1-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ12111111111−1−i32−1+i32-1-1−1−i32−1+i3211-1-1-1-11111−1−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+i32-1-1-1-111-1-1-1-111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ1311-11-11-1-11111-1111-111-1-11-11-111-1-1-1-1-1-111-1-1111-11-11-111-1-11-11-11-11-11-11-111-1-111-1-1-111-111-1-11-11-1
χ1411-11-11-1-11111-1111-111-1-11-11-111-1-1-1-1-1-111-1-1111-1-111-111-1-1-111-11-11-11-11-111-1-111-1-11-1-11-1-111-11-11
χ1511-11-11-1-1111-11111-1-1-1111-11-111-1-1-1-1-1-111-1-111-111-11-1-1-111-111-1-11-111-11-1-1-111-1-111-11-1111-1-1-11-11
χ1611-11-11-1-1111-11111-1-1-1111-11-111-1-1-1-1-1-111-1-111-11-111-1-1-1111-11-1-11-111-11-1-1-111-1-1111-11-1-1-1111-11-1
χ1711-11-11-1-11−1+i32−1−i321-1−1+i32−1−i321-111-1-11-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321-11-11-111-1-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32
χ1811-11-11-1-11−1+i32−1−i321-1−1+i32−1−i321-111-1-11-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321-1-111-111-1-1-111-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1911-11-11-1-11−1+i32−1−i32-11−1+i32−1−i321-1-1-1111-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-111-11-1-1-111-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ2011-11-11-1-11−1+i32−1−i32-11−1+i32−1−i321-1-1-1111-11-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-11-111-1-1-1111-11-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-11−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2111-11-11-1-11−1−i32−1+i321-1−1−i32−1+i321-111-1-11-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321-11-11-111-1-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32
χ2211-11-11-1-11−1−i32−1+i321-1−1−i32−1+i321-111-1-11-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321-1-111-111-1-1-111-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ2311-11-11-1-11−1−i32−1+i32-11−1−i32−1+i321-1-1-1111-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-111-11-1-1-111-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
χ2411-11-11-1-11−1−i32−1+i32-11−1−i32−1+i321-1-1-1111-11-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-11-111-1-1-1111-11-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-11+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ252222-2-2222220022-2-20000-2-2222222222222-2-2-2-20000-2-2000000220000-2-2-2-200000000000000000000
χ262222-2-2222−1+i3−1−i300−1+i3−1−i3-2-20000-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000-2-20000002200001−i31−i31+i31+i300000000000000000000
χ272222-2-2222−1−i3−1+i300−1−i3−1+i3-2-20000-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000-2-20000002200001+i31+i31−i31−i300000000000000000000
χ28222-122-1-1-1222222-1-1-1-1-1-12222-1-122-1-1-1-1-1-122222200-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ29222-122-1-1-122-2-222-1-111112222-1-122-1-1-1-1-1-12222-2-200-1-1111100-1-1-2-2-2-2-1-1-1-111111111000000000000
χ30222-122-1-1-1−1+i3−1−i322−1+i3−1−i3-1-1-1-1-1-122221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i32200-1-1-1-1-1-100-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ31222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3-1-1111122221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i3-2-200-1-1111100-1-11−i31−i31+i31+i31−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ32222-122-1-1-1−1−i3−1+i322−1−i3−1+i3-1-1-1-1-1-122221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i32200-1-1-1-1-1-100-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ33222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3-1-1111122221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i3-2-200-1-1111100-1-11+i31+i31−i31−i31+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ34222-1-2-2-1-1-122002211i3−i3i3−i3-2-222-1-122-1-1-1-1-1-1-2-2-2-2000011i3−i3i3−i300-1-100001111i3−i3i3−i3i3−i3i3−i3000000000000
χ35222-1-2-2-1-1-122002211−i3i3−i3i3-2-222-1-122-1-1-1-1-1-1-2-2-2-2000011−i3i3−i3i300-1-100001111−i3i3−i3i3−i3i3−i3i3000000000000
χ36222-1-2-2-1-1-1−1+i3−1−i300−1+i3−1−i311i3−i3i3−i3-2-2221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i31+i31−i31+i3000011i3−i3i3−i300-1-10000−1+i32−1+i32−1−i32−1−i32−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000
χ37222-1-2-2-1-1-1−1+i3−1−i300−1+i3−1−i311−i3i3−i3i3-2-2221−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i31+i31−i31+i3000011−i3i3−i3i300-1-10000−1+i32−1+i32−1−i32−1−i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000
χ38222-1-2-2-1-1-1−1−i3−1+i300−1−i3−1+i311i3−i3i3−i3-2-2221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i31−i31+i31−i3000011i3−i3i3−i300-1-10000−1−i32−1−i32−1+i32−1+i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000
χ39222-1-2-2-1-1-1−1−i3−1+i300−1−i3−1+i311−i3i3−i3i3-2-2221+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i31−i31+i31−i3000011−i3i3−i3i300-1-10000−1−i32−1−i32−1+i32−1+i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000
χ4022-222-2-2-22220022-220000-222-222-2-2-2-2-2-22222-2-20000-220000002-20000-22-2200000000000000000000
χ4122-222-2-2-22−1+i3−1−i300−1+i3−1−i3-220000-222-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000-220000002-200001−i3−1+i31+i3−1−i300000000000000000000
χ4222-222-2-2-22−1−i3−1+i300−1−i3−1+i3-220000-222-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000-220000002-200001+i3−1−i31−i3−1+i300000000000000000000
χ4322-2-12-211-12200221-1i3−i3−i3i3-222-2-1-1-2-21111-1-122-2-200001-1i3−i3−i3i300-1100001-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ4422-2-12-211-12200221-1−i3i3i3−i3-222-2-1-1-2-21111-1-122-2-200001-1−i3i3i3−i300-1100001-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ4522-2-12-211-1−1+i3−1−i300−1+i3−1−i31-1i3−i3−i3i3-222-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i3−1−i31−i31+i300001-1i3−i3−i3i300-110000−1+i321−i32−1−i321+i32−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000000000
χ4622-2-12-211-1−1+i3−1−i300−1+i3−1−i31-1−i3i3i3−i3-222-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i3−1−i31−i31+i300001-1−i3i3i3−i300-110000−1+i321−i32−1−i321+i323+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000000000
χ4722-2-12-211-1−1−i3−1+i300−1−i3−1+i31-1i3−i3−i3i3-222-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i3−1+i31+i31−i300001-1i3−i3−i3i300-110000−1−i321+i32−1+i321−i323−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000000000
χ4822-2-12-211-1−1−i3−1+i300−1−i3−1+i31-1−i3i3i3−i3-222-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i3−1+i31+i31−i300001-1−i3i3i3−i300-110000−1−i321+i32−1+i321−i32−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000000000
χ4922-2-1-2211-1222-222-11-1-1112-22-2-1-1-2-21111-1-1-2-2222-200-11-1-11100-112-22-2-11-11-1-111-1-111000000000000
χ5022-2-1-2211-122-2222-1111-1-12-22-2-1-1-2-21111-1-1-2-222-2200-1111-1-100-11-22-22-11-1111-1-111-1-1000000000000
χ5122-2-1-2211-1−1+i3−1−i32-2−1+i3−1−i3-11-1-1112-22-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i31+i3−1+i3−1−i32-200-11-1-11100-11−1+i31−i3−1−i31+i31−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000
χ5222-2-1-2211-1−1+i3−1−i3-22−1+i3−1−i3-1111-1-12-22-21−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i31+i3−1+i3−1−i3-2200-1111-1-100-111−i3−1+i31+i3−1−i31−i32−1+i321+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000
χ5322-2-1-2211-1−1−i3−1+i32-2−1−i3−1+i3-11-1-1112-22-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i31−i3−1−i3−1+i32-200-11-1-11100-11−1−i31+i3−1+i31−i31+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000
χ5422-2-1-2211-1−1−i3−1+i3-22−1−i3−1+i3-1111-1-12-22-21+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i31−i3−1−i3−1+i3-2200-1111-1-100-111+i3−1−i31−i3−1+i31+i32−1−i321−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000
χ55333333333003300333333-1-1-1-100000000000000-1-133-1-1-1-1-1-133-1-10000000000000000-1-1-1-100000000
χ56333333333003300333333-1-1-1-100000000000000-1-1-3-3-1-1-1-1-1-1-3-3-1-10000000000000000111100000000
χ5733333333300-3-30033-3-3-3-3-1-1-1-1000000000000001133-1-11111-3-3-1-10000000000000000-1-11100000000
χ5833333333300-3-30033-3-3-3-3-1-1-1-10000000000000011-3-3-1-1111133-1-1000000000000000011-1-100000000
χ5933-33-33-3-33003-3003-333-3-3-11-1100000000000000-113-3-11-1-1113-3-1100000000000000001-1-1100000000
χ6033-33-33-3-33003-3003-333-3-3-11-1100000000000000-11-33-11-1-111-33-110000000000000000-111-100000000
χ6133-33-33-3-3300-33003-3-3-333-11-11000000000000001-13-3-1111-1-1-33-1100000000000000001-11-100000000
χ6233-33-33-3-3300-33003-3-3-333-11-11000000000000001-1-33-1111-1-13-3-110000000000000000-11-1100000000
χ636666-6-6666000000-6-6000022-2-200000000000000000022000000-2-20000000000000000000000000000
χ64666-366-3-3-3006600-3-3-3-3-3-3-2-2-2-200000000000000-2-20011111100110000000000000000000000000000
χ65666-366-3-3-300-6-600-3-33333-2-2-2-200000000000000220011-1-1-1-100110000000000000000000000000000
χ66666-3-6-6-3-3-3000000333i3−3i33i3−3i322-2-2000000000000000000-1-1−i3i3−i3i300110000000000000000000000000000
χ67666-3-6-6-3-3-300000033−3i33i3−3i33i322-2-2000000000000000000-1-1i3−i3i3−i300110000000000000000000000000000
χ6866-666-6-6-66000000-6600002-2-220000000000000000002-2000000-220000000000000000000000000000
χ6966-6-36-633-30000003-33i3−3i3−3i33i32-2-22000000000000000000-11−i3i3i3−i3001-10000000000000000000000000000
χ7066-6-36-633-30000003-3−3i33i33i3−3i32-2-22000000000000000000-11i3−i3−i3i3001-10000000000000000000000000000
χ7166-6-3-6633-3006-600-33-3-333-22-2200000000000000-22001-111-1-1001-10000000000000000000000000000
χ7266-6-3-6633-300-6600-3333-3-3-22-22000000000000002-2001-1-1-111001-10000000000000000000000000000
χ738-8080000-8-4-400440000000000-4-4000000440000000000000000000000000000000000000000000000
χ748-8080000-82−2i32+2i300−2+2i3−2−2i300000000002−2i32+2i3000000−2+2i3−2−2i30000000000000000000000000000000000000000000000
χ758-8080000-82+2i32−2i300−2−2i3−2+2i300000000002+2i32−2i3000000−2−2i3−2+2i30000000000000000000000000000000000000000000000
χ768-80-4004i3−4i34-4-40044000000000022002i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000
χ778-80-4004i3−4i342−2i32+2i300−2+2i3−2−2i30000000000−1+i3−1−i300−3−i33+i33−i3−3+i31−i31+i30000000000000000000000000000000000000000000000
χ788-80-4004i3−4i342+2i32−2i300−2−2i3−2+2i30000000000−1−i3−1+i3003−i3−3+i3−3−i33+i31+i31−i30000000000000000000000000000000000000000000000
χ798-80-400−4i34i34-4-4004400000000002200−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000
χ808-80-400−4i34i342−2i32+2i300−2+2i3−2−2i30000000000−1+i3−1−i3003+i3−3−i3−3+i33−i31−i31+i30000000000000000000000000000000000000000000000
χ818-80-400−4i34i342+2i32−2i300−2−2i3−2+2i30000000000−1−i3−1+i300−3+i33−i33+i3−3−i31+i31−i30000000000000000000000000000000000000000000000

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