Finite Group Databasebeta

← Group #11868100

Character table — Group #11868100

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444444444888888888812121212121212121616161616161616181818182424242424242424242424243636484848487272
order12233446636668812121212121224242424688122424242424242244888824242424242424242244222466121224242424886661288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-11-111-1-111111111-1-1-1-111-1-1-111-111-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111-11-11-1-11111111111-1-1-1-1-1-1111-1-11-1-111-1-11-1-11-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11-1-1111
χ711111111111111111111111111-1-11111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-1-111-111
χ811111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ91111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11111-1-1-1-1-1-111-1-11-1
χ101111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11-1-11-111-1-1-11111-11-11-11
χ111111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-111-11-1-1111-1-1111-11-1-11
χ121111111111111-1-1111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-1111-1
χ131111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-111-11
χ141111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-1-111111-11-11-1
χ151111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-111-11-111-1
χ161111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-1-1-11111-1-111-1-1-11
χ1722222-2-222222200-2-2-2-2-2-20000200-200000000002i−2i2i−2i0000000022-2-2000000002i−2i2i−2i00000000
χ1822222-2-222222200-2-2-2-2-2-20000200-200000000002i−2i−2i2i00000000-2-222000000002i−2i−2i2i00000000
χ1922222-2-222222200-2-2-2-2-2-20000200-20000000000−2i2i2i−2i00000000-2-22200000000−2i2i2i−2i00000000
χ2022222-2-222222200-2-2-2-2-2-20000200-20000000000−2i2i−2i2i0000000022-2-200000000−2i2i−2i2i00000000
χ212222-122-12-12-1-122-12-1-1-1222-1-1-122-12-1-1-1-1-1202022002-1-1-12-1-1-1000022000-1-10-1-100000-1-1000
χ222222-122-12-12-1-122-12-1-1-1222-1-1-122-12-1-1-1-1-1-20-20-2-2002-1-1-12-1-1-10000-2-2000110110000011000
χ232222-122-12-12-1-122-12-1-1-1222-1-1-1-2-2-12-1-1-1-1-120202200-2111-21110000-2-2000-1-10-1-10000011000
χ242222-122-12-12-1-122-12-1-1-1222-1-1-1-2-2-12-1-1-1-1-1-20-20-2-200-2111-21110000220001101100000-1-1000
χ252222-122-12-12-1-1-2-2-12-1-1-12-2-211-12-2-1-2111112020-2-2002-1-1-1-211100002-2000-1-101100000-11000
χ262222-122-12-12-1-1-2-2-12-1-1-12-2-211-12-2-1-211111-20-2022002-1-1-1-21110000-22000110-1-1000001-1000
χ272222-122-12-12-1-1-2-2-12-1-1-12-2-211-1-22-1-2111112020-2-200-21112-1-1-10000-22000-1-1011000001-1000
χ282222-122-12-12-1-1-2-2-12-1-1-12-2-211-1-22-1-211111-20-202200-21112-1-1-100002-2000110-1-100000-11000
χ29222-12222-1-1-12-1222-1-1-12-1-1-122-122-1-12-1-1-1-102020022-12-1-1-12-1-100000022-100-100-1-100-100-100
χ30222-12222-1-1-12-1222-1-1-12-1-1-122-122-1-12-1-1-1-10-20-200-2-2-12-1-1-12-1-1000000-2-21001001100100100
χ31222-12222-1-1-12-1222-1-1-12-1-1-122-1-2-2-1-12-1-1-1-1020200221-2111-211000000-2-2-100-100-1-100100100
χ32222-12222-1-1-12-1222-1-1-12-1-1-122-1-2-2-1-12-1-1-1-10-20-200-2-21-2111-211000000221001001100-100-100
χ33222-12222-1-1-12-1-2-22-1-1-12-111-2-2-12-2-11-21111020200-2-2-12-1-11-2110000002-2-100-1001100-100100
χ34222-12222-1-1-12-1-2-22-1-1-12-111-2-2-12-2-11-211110-20-20022-12-1-11-211000000-22100100-1-100100-100
χ35222-12222-1-1-12-1-2-22-1-1-12-111-2-2-1-22-11-21111020200-2-21-211-12-1-1000000-22-100-1001100100-100
χ36222-12222-1-1-12-1-2-22-1-1-12-111-2-2-1-22-11-211110-20-200221-211-12-1-10000002-2100100-1-100-100100
χ3722-2222-2222-2-222-2-2-2-2-22222-2-2-2002-2222-2-200000000000000002-22-20000000000002-2000000
χ3822-2222-2222-2-222-2-2-2-2-22222-2-2-2002-2222-2-20000000000000000-22-22000000000000-22000000
χ3922-2222-2222-2-22-22-2-2-2-222-2-222-20022-2-2-22200000000000000002-22-2000000000000-22000000
χ4022-2222-2222-2-22-22-2-2-2-222-2-222-20022-2-2-2220000000000000000-22-220000000000002-2000000
χ4122-222-22222-2-22002222-2-20000-200-200000022-2-20000000000002-2-22000022-2-2000000000000
χ4222-222-22222-2-22002222-2-20000-200-20000002-2-22000000000000-222-20000-22-22000000000000
χ4322-222-22222-2-22002222-2-20000-200-2000000-222-2000000000000-222-200002-22-2000000000000
χ4422-222-22222-2-22002222-2-20000-200-2000000-2-2220000000000002-2-220000-2-222000000000000
χ454444-2-4-4-24-24-2-2002-4222-40000-200200000000004i−4i0000000000000000000000−2i2i0000000000
χ464444-2-4-4-24-24-2-2002-4222-40000-20020000000000−4i4i00000000000000000000002i−2i0000000000
χ47444-24-4-44-2-2-24-200-4222-420000-20020000000000004i−4i0000000000000000000000−2i2i00000000
χ48444-24-4-44-2-2-24-200-4222-420000-2002000000000000−4i4i00000000000000000000002i−2i00000000
χ49444-2-244-2-21-2-2144-2-211-2-2-2-2-2-21441-2-2111100000000-2-211-2-211000000000000000000000000
χ50444-2-244-2-21-2-2144-2-211-2-2-2-2-2-21-4-41-2-211110000000022-1-122-1-1000000000000000000000000
χ51444-2-244-2-21-2-21-4-4-2-211-2-2222214-4122-1-1-1-100000000-2-21122-1-1000000000000000000000000
χ52444-2-244-2-21-2-21-4-4-2-211-2-222221-44122-1-1-1-10000000022-1-1-2-211000000000000000000000000
χ5344-44-24-4-24-2-42-24-42-422-244422200-2-4-2-2-2220000000000000000000000000000000000000000
χ5444-44-24-4-24-2-42-2-442-422-24-4-4-2-2200-24222-2-20000000000000000000000000000000000000000
χ5544-44-2-44-24-2-42-200-24-2-22-40000200200000040-40000000000000000000000-220000000000000
χ5644-44-2-44-24-2-42-200-24-2-22-400002002000000-40400000000000000000000002-20000000000000
χ5744-4-244-44-2-22-4-24-4-42224-2-2-2-4-4200-224-2-2220000000000000000000000000000000000000000
χ5844-4-244-44-2-22-4-2-44-42224-22244200-2-2-422-2-20000000000000000000000000000000000000000
χ5944-4-24-444-2-22-4-2004-2-2-2-4200002002000000040-400000000000000000000-2002000000000000
χ6044-4-24-444-2-22-4-2004-2-2-2-42000020020000000-40400000000000000000000200-2000000000000
χ6144-4-2-24-4-2-212214-422-1-1-2-2-2-222-10012-211-1-100000000003i−3i003i−3i000000000000000000000000
χ6244-4-2-24-4-2-212214-422-1-1-2-2-2-222-10012-211-1-10000000000−3i3i00−3i3i000000000000000000000000
χ6344-4-2-24-4-2-21221-4422-1-1-2-222-2-2-1001-22-1-11100000000003i−3i00−3i3i000000000000000000000000
χ6444-4-2-24-4-2-21221-4422-1-1-2-222-2-2-1001-22-1-1110000000000−3i3i003i−3i000000000000000000000000
χ65888-4-4-8-8-4-42-4-420044-2-2440000200-20000000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-4244200-4-422440000-200-20000000000000000000000000000000000000000000000
χ678-808800-8-8800-800000000000000000000000000000000000000000000000000000000000000
χ688-808-4004-8-400400000000002i6−2i6000000002i6−2i60000000000000000000000000000000000000000
χ698-808-4004-8-40040000000000−2i62i600000000−2i62i60000000000000000000000000000000000000000
χ708-80-4800-84-40040000000026−260000000026−26000000000000000000000000000000000000000000
χ718-80-4800-84-400400000000−262600000000−2626000000000000000000000000000000000000000000
χ728-80-4-40044200-200006i−6i0026−262i6−2i6000000−66−i6i60000000000000000000000000000000000000000
χ738-80-4-40044200-200006i−6i00−2626−2i62i60000006−6i6−i60000000000000000000000000000000000000000
χ748-80-4-40044200-20000−6i6i0026−26−2i62i6000000−66i6−i60000000000000000000000000000000000000000
χ758-80-4-40044200-20000−6i6i00−26262i6−2i60000006−6−i6i60000000000000000000000000000000000000000

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