Finite Group Databasebeta

← Group #11886711

Character table — Group #11886711

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222224444444444444444888888888812121212161616161616161624242424242424242424242424243636363636364848484872
order1223344663666881212121212122424242468812242424242424224424242424242424242444668812122424242422448861212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-11-11111111111-1-1-111-11-111-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111-11-1111111111-1-1111-1-11-11-1-111-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ511111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11
χ611111111111111111111111111-1-111111111-11-1-1-1-1-1-1-1-1-1-1-111-111-11-111-1-11111-1-1-1-111-1
χ711111111111111111111111111-1-11111111-11-11-1-1-1-1-1-1-1-111-1-11-1-11-11-1-1111111-1-111-1-1-1
χ811111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ91111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-1-11-11-1111-11-1-1
χ101111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-11-11-11111-1-1-1-11-1-11-11-111-1-1-111-11-11-1-11-1-111
χ111111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-1-11-111111-1-1-1-1-111-11-11-1-1111-1-1-11-11-1-1-111-11
χ121111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111111-11-111-11-11-1
χ131111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1-1-1-11-1111-11-11-1
χ141111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-11-11-1-1-1-1-11111-111-1-11-111-1-1-1111-11-1-1-1-111-11
χ151111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-11-11-1-1-1-111111-1-111-11-1-1111-1-11-11-1-1-11-1-111
χ161111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-11-11111-11-1-1
χ172222-122-12-12-1-122-12-1-1-1222-1-1-122-12-1-1-1-1-120202-1-1-12-1-1-122000-120-10-1-100000000-1-1000
χ182222-122-12-12-1-122-12-1-1-1222-1-1-122-12-1-1-1-1-1-20-202-1-1-12-1-1-1-2-20001-2010110000000011000
χ192222-122-12-12-1-122-12-1-1-1222-1-1-1-2-2-12-1-1-1-1-12020-2111-2111-2-2000-120-10-1-10000000011000
χ202222-122-12-12-1-122-12-1-1-1222-1-1-1-2-2-12-1-1-1-1-1-20-20-2111-2111220001-20101100000000-1-1000
χ212222-122-12-12-1-1-2-2-12-1-1-12-2-211-12-2-1-21111120202-1-1-1-21112-2000-1-20-101100000000-11000
χ222222-122-12-12-1-1-2-2-12-1-1-12-2-211-12-2-1-211111-20-202-1-1-1-2111-2200012010-1-1000000001-1000
χ232222-122-12-12-1-1-2-2-12-1-1-12-2-211-1-22-1-2111112020-21112-1-1-1-22000-1-20-1011000000001-1000
χ242222-122-12-12-1-1-2-2-12-1-1-12-2-211-1-22-1-211111-20-20-21112-1-1-12-200012010-1-100000000-11000
χ25222-12222-1-1-12-1222-1-1-12-1-1-122-122-1-12-1-1-1-10202-12-1-1-12-1-10022-10020-100-1-100000000-1-10
χ26222-12222-1-1-12-1222-1-1-12-1-1-122-122-1-12-1-1-1-10-20-2-12-1-1-12-1-100-2-2100-201001100000000110
χ27222-12222-1-1-12-1222-1-1-12-1-1-122-1-2-2-1-12-1-1-1-102021-2111-21100-2-2-10020-100-1-100000000110
χ28222-12222-1-1-12-1222-1-1-12-1-1-122-1-2-2-1-12-1-1-1-10-20-21-2111-2110022100-201001100000000-1-10
χ29222-12222-1-1-12-1-2-22-1-1-12-111-2-2-12-2-11-211110202-12-1-11-211002-2-100-20-1001100000000-110
χ30222-12222-1-1-12-1-2-22-1-1-12-111-2-2-12-2-11-211110-20-2-12-1-11-21100-2210020100-1-1000000001-10
χ31222-12222-1-1-12-1-2-22-1-1-12-111-2-2-1-22-11-2111102021-211-12-1-100-22-100-20-10011000000001-10
χ32222-12222-1-1-12-1-2-22-1-1-12-111-2-2-1-22-11-211110-20-21-211-12-1-1002-210020100-1-100000000-110
χ3322-2222-2222-2-222-2-2-2-2-22222-2-2-2002-2222-2-2000000000000000000000000002-2-220000000
χ3422-2222-2222-2-222-2-2-2-2-22222-2-2-2002-2222-2-200000000000000000000000000-222-20000000
χ3522-2222-2222-2-22-22-2-2-2-222-2-222-20022-2-2-2220000000000000000000000000022-2-20000000
χ3622-2222-2222-2-22-22-2-2-2-222-2-222-20022-2-2-22200000000000000000000000000-2-2220000000
χ3722-222-22222-2-22002222-2-20000-200-200000022-2-20000000000002200-2-2000000002-200000
χ3822-222-22222-2-22002222-2-20000-200-20000002-2-22000000000000-2200-2200000000-2200000
χ3922-222-22222-2-22002222-2-20000-200-2000000-222-20000000000002-2002-200000000-2200000
χ4022-222-22222-2-22002222-2-20000-200-2000000-2-222000000000000-2-20022000000002-200000
χ4144444-4-444444400-4-4-4-4-4-40000400-40000000000000000000000000000000000000000000
χ424444-2-4-4-24-24-2-2002-4222-40000-2002000000000000000000000000000023−230000000000000
χ434444-2-4-4-24-24-2-2002-4222-40000-20020000000000000000000000000000−23230000000000000
χ44444-24-4-44-2-2-24-200-4222-420000-200200000000000000000000000000000023−2300000000000
χ45444-24-4-44-2-2-24-200-4222-420000-2002000000000000000000000000000000−232300000000000
χ46444-2-244-2-21-2-2144-2-211-2-2-2-2-2-21441-2-211110000-2-211-2-2110000000000000000000000000
χ47444-2-244-2-21-2-2144-2-211-2-2-2-2-2-21-4-41-2-21111000022-1-122-1-10000000000000000000000000
χ48444-2-244-2-21-2-21-4-4-2-211-2-2222214-4122-1-1-1-10000-2-21122-1-10000000000000000000000000
χ49444-2-244-2-21-2-21-4-4-2-211-2-222221-44122-1-1-1-1000022-1-1-2-2110000000000000000000000000
χ5044-44-24-4-24-2-42-24-42-422-244422200-2-4-2-2-2220000000000000000000000000000000000000
χ5144-44-24-4-24-2-42-2-442-422-24-4-4-2-2200-24222-2-20000000000000000000000000000000000000
χ5244-44-2-44-24-2-42-200-24-2-22-40000200200000040-400000000000000-20020000000000000000
χ5344-44-2-44-24-2-42-200-24-2-22-400002002000000-40400000000000000200-20000000000000000
χ5444-4-244-44-2-22-4-24-4-42224-2-2-2-4-4200-224-2-2220000000000000000000000000000000000000
χ5544-4-244-44-2-22-4-2-44-42224-22244200-2-2-422-2-20000000000000000000000000000000000000
χ5644-4-24-444-2-22-4-2004-2-2-2-4200002002000000040-4000000000000-200002000000000000000
χ5744-4-24-444-2-22-4-2004-2-2-2-42000020020000000-40400000000000020000-2000000000000000
χ5844-4-2-24-4-2-212214-422-1-1-2-2-2-222-10012-211-1-10000003i−3i003i−3i0000000000000000000000000
χ5944-4-2-24-4-2-212214-422-1-1-2-2-2-222-10012-211-1-1000000−3i3i00−3i3i0000000000000000000000000
χ6044-4-2-24-4-2-21221-4422-1-1-2-222-2-2-1001-22-1-1110000003i−3i00−3i3i0000000000000000000000000
χ6144-4-2-24-4-2-21221-4422-1-1-2-222-2-2-1001-22-1-111000000−3i3i003i−3i0000000000000000000000000
χ62888-4-4-8-8-4-42-4-420044-2-2440000200-20000000000000000000000000000000000000000000
χ6388-8-4-4-88-4-4244200-4-422440000-200-20000000000000000000000000000000000000000000
χ648-808800-8-8800-800000000000000000000000000000000000000000000000000000000000
χ658-808-4004-8-4004000000000026−260000000026−260000000000000000000000000000000000000
χ668-808-4004-8-40040000000000−262600000000−26260000000000000000000000000000000000000
χ678-80-4800-84-4004000000002i6−2i6000000002i6−2i6000000000000000000000000000000000000000
χ688-80-4800-84-400400000000−2i62i600000000−2i62i6000000000000000000000000000000000000000
χ698-80-4-40044200-200006i−6i002i6−2i626−26000000−i6i6−660000000000000000000000000000000000000
χ708-80-4-40044200-200006i−6i00−2i62i6−2626000000i6−i66−60000000000000000000000000000000000000
χ718-80-4-40044200-20000−6i6i002i6−2i6−2626000000−i6i66−60000000000000000000000000000000000000
χ728-80-4-40044200-20000−6i6i00−2i62i626−26000000i6−i6−660000000000000000000000000000000000000

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