Finite Group Databasebeta

← Group #11798812

Character table — Group #11798812

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122222444444488888888812121212161616161616161616161624242424242436364848484848484848727272
order12233663444666612121212121212124444812122424242424242424221212121244668824242424244
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1
χ31111111111111111111111111-1-1111111111111-111-1-1-1-11-11-111-1-1-1-1-1
χ41111111111111111111111111-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-11-1-11-1-1111-11
χ511111111111111111111111-1-11111111111111-11-1-111-1-1-11-11-1-111-1-1-1
χ611111111111111111111111-1-111-111-1-1-1-1-1-1-1-1-11-1-111-1-1-111-111-1-11-11
χ711111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1
χ9222222222-2-22222-2-22222-2-200000-2-20000000000000022000000000-20
χ10222222222-2-22222-2-22222-2-200000-2-200000000000000-2-200000000020
χ1122222222-22-222222-2-2-2-2-22-2002202-2000000000-20022000-2000000000
χ1222222222-22-222222-2-2-2-2-22-200-2-202-2000000000200-2-20002000000000
χ1322222222-2-222222-22-2-2-2-2-2222000-2200000000-20220000-20000000000
χ1422222222-2-222222-22-2-2-2-2-22-2-2000-220000000020-2-2000020000000000
χ152222-12-1-12222-1-1-12-12-1-1-1-1222002-1-122-1-1-1-1-1-120-1-10000-1020-1-100000
χ162222-12-1-12222-1-1-12-12-1-1-1-122200-2-1-1-2-211111120-1-10000-10-201100000
χ172222-12-1-12222-1-1-12-12-1-1-1-12-2-2002-1-122-1-1-1-1-1-1-2011000010-201100000
χ182222-12-1-12222-1-1-12-12-1-1-1-12-2-200-2-1-1-2-2111111-201100001020-1-100000
χ192222-12-1-1-2-222-1-1-1-2-1-211112220001-100333−3−3−3-20-1-1000010003−300000
χ202222-12-1-1-2-222-1-1-1-2-1-211112220001-100−3−3−3333-20-1-100001000−3300000
χ212222-12-1-1-2-222-1-1-1-2-1-211112-2-20001-100333−3−3−320110000-1000−3300000
χ222222-12-1-1-2-222-1-1-1-2-1-211112-2-20001-100−3−3−333320110000-10003−300000
χ23222-12-12-1222-12-1-1-12-12-1-12-100222-1-1-1-12-1-12-1-10200-1-1000-10200-1-1000
χ24222-12-12-1222-12-1-1-12-12-1-12-10022-2-1-111-211-2110200-1-1000-10-20011000
χ25222-12-12-1222-12-1-1-12-12-1-12-100-2-22-1-1-1-12-1-12-1-10-2001100010-20011000
χ26222-12-12-1222-12-1-1-12-12-1-12-100-2-2-2-1-111-211-2110-2001100010200-1-1000
χ27222-12-12-1-22-2-12-1-1-1-21-2112100220-113−303−303−30-200-1-1000100003−3000
χ28222-12-12-1-22-2-12-1-1-1-21-2112100220-11−330−330−330-200-1-100010000−33000
χ29222-12-12-1-22-2-12-1-1-1-21-2112100-2-20-113−303−303−3020011000-10000−33000
χ30222-12-12-1-22-2-12-1-1-1-21-2112100-2-20-11−330−330−33020011000-100003−3000
χ314444-24-2-24-4-44-2-2-2-424-2-2-22-40000022000000000000000000000000000
χ324444-24-2-2-44-44-2-2-242-4222-2-400000-22000000000000000000000000000
χ33444-24-24-24-4-4-24-2-22-4-24-2-2-420000022000000000000000000000000000
χ34444-24-24-2-4-44-24-2-2242-422-4-2000002-2000000000000000000000000000
χ35444-2-2-2-21444-2-211-2-2-2-211-2-20000411-2-2-211-2110000000000000000000
χ36444-2-2-2-21444-2-211-2-2-2-211-2-20000-411222-1-12-1-10000000000000000000
χ37444-2-2-2-214-4-4-2-21122-2-2112200000-1-10003-30-330000000000000000000
χ38444-2-2-2-214-4-4-2-21122-2-2112200000-1-1000-3303-30000000000000000000
χ39444-2-2-2-21-44-4-2-211-2222-1-1-22000001-123−230−330−330000000000000000000
χ40444-2-2-2-21-44-4-2-211-2222-1-1-22000001-1−232303−303−30000000000000000000
χ41444-2-2-2-21-4-44-2-2112-222-1-12-200000-110023−3−3−23330000000000000000000
χ42444-2-2-2-21-4-44-2-2112-222-1-12-200000-1100−233323−3−30000000000000000000
χ4344-444444000-4-44-400000000000000000000000000000000000000020-2
χ4444-444444000-4-44-4000000000000000000000000000000000000000-202
χ454-4044-4-4400000-40000000002i−2i2i−2i00000000000002i−2i2i−2i2-200000000000
χ464-4044-4-4400000-40000000002i−2i−2i2i00000000000002i−2i−2i2i-2200000000000
χ474-4044-4-4400000-4000000000−2i2i2i−2i0000000000000−2i2i2i−2i-2200000000000
χ484-4044-4-4400000-4000000000−2i2i−2i2i0000000000000−2i2i−2i2i2-200000000000
χ4988-88-48-4-4000-84-44000000000000000000000000000000000000000000
χ5088-8-48-48-40004-8-44000000000000000000000000000000000000000000
χ5188-8-4-4-4-42000442-200006-6000000000000000000000000000000000000
χ5288-8-4-4-4-42000442-20000-66000000000000000000000000000000000000
χ538-808-4-84-40000040000000004i−4i000000000000000−2i2i000000000000000
χ548-808-4-84-4000004000000000−4i4i0000000000000002i−2i000000000000000
χ558-80-484-8-4000004000000000004i−4i000000000000000−2i2i0000000000000
χ568-80-484-8-400000400000000000−4i4i0000000000000002i−2i0000000000000
χ5716-160-8-888400000-40000000000000000000000000000000000000000000

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