Finite Group Databasebeta

← Group #64055

Character table — Group #64055

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222222444444441212121211222222244444444121212121122222224444444412121212
order1223446662266661212248836631212666666666121261224243663121266666666612126122424
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ3111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111
χ511-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-1
χ611-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-11
χ711-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-11
χ811-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-1
χ92222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-20000
χ10222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000
χ11222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000
χ12222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000
χ13222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000
χ1422-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-220000
χ1522-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-10000
χ1622-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-10000
χ1722-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-110000
χ1822-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-110000
χ194-4040000-40000000000004-4040000-40000000000004-4040000-4000000000000
χ204-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i32000000000000
χ214-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i32000000000000
χ22111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2311111111111111111-1-1-1-1−1+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+i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i32
χ24111111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ25111111111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ2611-11-11-1-111-111-1-11-11-11-1−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ2711-11-11-1-111-111-1-11-1-11-11−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ2811-11-11-1-11-11-1-1111-11-1-11−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ2911-11-11-1-11-11-1-1111-1-111-1−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ302222-2-2222000000-2-20000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i30000001−i31−i30000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i30000001+i31+i30000
χ31222-122-1-1-122-1-1-1-1-1-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000
χ32222-122-1-1-1-2-21111-1-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i320000
χ33222-1-2-2-1-1-100i3−i3i3−i3110000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−3−i323+i32−3−i323+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32003−i32−3+i323−i32−3+i32−1−i32−1−i320000
χ34222-1-2-2-1-1-100−i3i3−i3i3110000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32003+i32−3−i323+i32−3−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−3+i323−i32−3+i323−i32−1−i32−1−i320000
χ3522-222-2-2-22000000-220000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000001−i3−1+i30000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000001+i3−1−i30000
χ3622-2-12-211-100i3−i3−i3i31-10000−1+i3−1+i31−i31−i32−1+i31−i3−1+i32−1+i321−i3200−3−i323+i323+i32−3−i32−1+i321−i320000−1−i3−1−i31+i31+i32−1−i31+i3−1−i32−1−i321+i32003−i32−3+i32−3+i323−i32−1−i321+i320000
χ3722-2-12-211-100−i3i3i3−i31-10000−1+i3−1+i31−i31−i32−1+i31−i3−1+i32−1+i321−i32003+i32−3−i32−3−i323+i32−1+i321−i320000−1−i3−1−i31+i31+i32−1−i31+i3−1−i32−1−i321+i3200−3+i323−i323−i32−3+i32−1−i321+i320000
χ3822-2-1-2211-12-2-1-111-110000−1+i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i32−1+i320000−1−i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i32−1−i320000
χ3922-2-1-2211-1-2211-1-1-110000−1+i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i321−i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i320000−1−i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i321+i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i320000
χ404-4040000-4000000000000−2+2i32−2i30−2+2i300002−2i3000000000000−2−2i32+2i30−2−2i300002+2i3000000000000
χ414-40-2002i3−2i32000000000000−2+2i32−2i301−i300−3−i33+i3−1+i3000000000000−2−2i32+2i301+i3003−i3−3+i3−1−i3000000000000
χ424-40-200−2i32i32000000000000−2+2i32−2i301−i3003+i3−3−i3−1+i3000000000000−2−2i32+2i301+i300−3+i33−i3−1−i3000000000000
χ43111111111111111111111−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4411111111111111111-1-1-1-1−1−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−i321+i321+i321+i321+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+i32−1+i321−i321−i321−i321−i32
χ45111111111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ46111111111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ4711-11-11-1-111-111-1-11-11-11-1−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ4811-11-11-1-111-111-1-11-1-11-11−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ4911-11-11-1-11-11-1-1111-11-1-11−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ5011-11-11-1-11-11-1-1111-1-111-1−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ512222-2-2222000000-2-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i30000001+i31+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i30000001−i31−i30000
χ52222-122-1-1-122-1-1-1-1-1-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000
χ53222-122-1-1-1-2-21111-1-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i320000
χ54222-1-2-2-1-1-100i3−i3i3−i3110000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32003−i32−3+i323−i32−3+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−3−i323+i32−3−i323+i32−1+i32−1+i320000
χ55222-1-2-2-1-1-100−i3i3−i3i3110000−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−3+i323−i32−3+i323−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32003+i32−3−i323+i32−3−i32−1+i32−1+i320000
χ5622-222-2-2-22000000-220000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000001+i3−1−i30000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000001−i3−1+i30000
χ5722-2-12-211-100i3−i3−i3i31-10000−1−i3−1−i31+i31+i32−1−i31+i3−1−i32−1−i321+i32003−i32−3+i32−3+i323−i32−1−i321+i320000−1+i3−1+i31−i31−i32−1+i31−i3−1+i32−1+i321−i3200−3−i323+i323+i32−3−i32−1+i321−i320000
χ5822-2-12-211-100−i3i3i3−i31-10000−1−i3−1−i31+i31+i32−1−i31+i3−1−i32−1−i321+i3200−3+i323−i323−i32−3+i32−1−i321+i320000−1+i3−1+i31−i31−i32−1+i31−i3−1+i32−1+i321−i32003+i32−3−i32−3−i323+i32−1+i321−i320000
χ5922-2-1-2211-12-2-1-111-110000−1−i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i32−1−i31+i31+i321+i32−1−i32−1−i321+i32−1−i320000−1+i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i32−1+i31−i31−i321−i32−1+i32−1+i321−i32−1+i320000
χ6022-2-1-2211-1-2211-1-1-110000−1−i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i321+i3−1−i3−1−i32−1−i321+i321+i321+i32−1−i320000−1+i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i321−i3−1+i3−1+i32−1+i321−i321−i321−i32−1+i320000
χ614-4040000-4000000000000−2−2i32+2i30−2−2i300002+2i3000000000000−2+2i32−2i30−2+2i300002−2i3000000000000
χ624-40-2002i3−2i32000000000000−2−2i32+2i301+i3003−i3−3+i3−1−i3000000000000−2+2i32−2i301−i300−3−i33+i3−1+i3000000000000
χ634-40-200−2i32i32000000000000−2−2i32+2i301+i300−3+i33−i3−1−i3000000000000−2+2i32−2i301−i3003+i3−3−i3−1+i3000000000000

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