Finite Group Databasebeta

← Group #11878681

Character table — Group #11878681

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order1222224433466666666666612121212121212124444442222224466666666488888888661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-11111-1-1-1-111111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111111-1-1-1-11-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-111111-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-1111111111-1-1-1-1-11-11
χ91111-1-11111-1111-1-1-1-1111-1-11111-1-1-1-111-1-1111-11-111-1-111-1-111-1-1-111-1-111-1-111-1-1
χ101111-1-11111-1111-1-1-1-1111-1-11111-1-1-1-111-1-1111-11-1-1-11111-1-111-1-1-1-1-111-1-111-1-111
χ111111-1-11111-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-11-1111-1-1-1-111-1-111-1-1-111-1-11111-1-1
χ121111-1-11111-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-11-11-1-111-1-111-1-111-111-1-111-1-1-1-111
χ131111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11111-1-111111-1-111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11111-1-111111-1-11-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-11-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-1-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000-2000000000000
χ192222-2-22222-2222-2-2-2-2222-2-22222-2-2-2-2-2-222-2-200000000000000002000000000000
χ202222-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2222222-2-2-2-200000000000000002000000000000
χ212-2-222-200220-22-222-2-2-2-222-2000000002-22-200000000000000000002−22−22−22−20000
χ222-2-222-200220-22-222-2-2-2-222-2000000002-22-20000000000000000000−22−22−22−220000
χ232-2-222-200220-22-222-2-2-2-222-200000000-22-2200000000000000000002−22−2−22−220000
χ242-2-222-200220-22-222-2-2-2-222-200000000-22-220000000000000000000−22−222−22−20000
χ252-2-22-2200220-22-2-2-222-2-22-22000000002-2-2200000000000000000002−2−222−2−220000
χ262-2-22-2200220-22-2-2-222-2-22-22000000002-2-220000000000000000000−222−2−222−20000
χ272-2-22-2200220-22-2-2-222-2-22-2200000000-222-200000000000000000002−2−22−222−20000
χ282-2-22-2200220-22-2-2-222-2-22-2200000000-222-20000000000000000000−222−22−2−220000
χ29444444441-241-2-2-2-2-2-21-211111-2-211-2-20000000000222200000000000000000-1-1-1-1
χ30444444441-241-2-2-2-2-2-21-211111-2-211-2-20000000000-2-2-2-2000000000000000001111
χ3144444444-214-2111111-21-2-2-2-2-211-2-21100000022220000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-2111111-21-2-2-2-2-211-2-211000000-2-2-2-20000111111110000000000000
χ33444444-4-41-2-41-2-2-2-2-2-21-2111-1-122-1-12200000000002-22-200000000000000000-11-11
χ34444444-4-41-2-41-2-2-2-2-2-21-2111-1-122-1-1220000000000-22-22000000000000000001-11-1
χ35444444-4-4-21-4-2111111-21-2-2-222-1-122-1-100000022-2-20000-1-1-1-111110000000000000
χ36444444-4-4-21-4-2111111-21-2-2-222-1-122-1-1000000-2-22200001111-1-1-1-10000000000000
χ374444-4-4441-2-41-2-222221-21-1-111-2-2-1-122000000000022-2-200000000000000000-1-111
χ384444-4-4441-2-41-2-222221-21-1-111-2-2-1-1220000000000-2-2220000000000000000011-1-1
χ394444-4-444-21-4-211-1-1-1-1-21-222-2-21122-1-10000002-22-20000-1-111-1-1110000000000000
χ404444-4-444-21-4-211-1-1-1-1-21-222-2-21122-1-1000000-22-22000011-1-111-1-10000000000000
χ414444-4-4-4-41-241-2-222221-21-1-1-1-12211-2-200000000002-2-2200000000000000000-111-1
χ424444-4-4-4-41-241-2-222221-21-1-1-1-12211-2-20000000000-222-2000000000000000001-1-11
χ434444-4-4-4-4-214-211-1-1-1-1-21-22222-1-1-2-2110000002-2-220000-1-11111-1-10000000000000
χ444444-4-4-4-4-214-211-1-1-1-1-21-22222-1-1-2-211000000-222-2000011-1-1-1-1110000000000000
χ4544-4-4004-4440-4-4-4000044-4004-44-4000000000000000000000000000000000000000
χ4644-4-4004-4-2102-1-13-33-3-21200-221-1003-300000000000000−i3i3−i3i3−i3i3−i3i30000000000000
χ4744-4-4004-4-2102-1-13-33-3-21200-221-1003-300000000000000i3−i3i3−i3i3−i3i3−i30000000000000
χ4844-4-4004-4-2102-1-1-33-33-21200-221-100-3300000000000000−i3i3i3−i3−i3i3i3−i30000000000000
χ4944-4-4004-4-2102-1-1-33-33-21200-221-100-3300000000000000i3−i3−i3i3i3−i3−i3i30000000000000
χ5044-4-400-44440-4-4-4000044-400-44-44000000000000000000000000000000000000000
χ5144-4-400-44-2102-1-13-33-3-212002-2-1100-3300000000000000−i3i3−i3i3i3−i3i3−i30000000000000
χ5244-4-400-44-2102-1-13-33-3-212002-2-1100-3300000000000000i3−i3i3−i3−i3i3−i3i30000000000000
χ5344-4-400-44-2102-1-1-33-33-212002-2-11003-300000000000000−i3i3i3−i3i3−i3−i3i30000000000000
χ5444-4-400-44-2102-1-1-33-33-212002-2-11003-300000000000000i3−i3−i3i3−i3i3i3−i30000000000000
χ554-44-400004404-440000-4-4-4000000000000004-400000000000000000000000000000
χ564-44-400004404-440000-4-4-400000000000000-4400000000000000000000000000000
χ5788-8-8008-82-40-24400002-4-2002-2-44000000000000000000000000000000000000000
χ5888-8-800-882-40-24400002-4-200-224-4000000000000000000000000000000000000000
χ598-88-800002-4024-40000-24-20000006i−6i0000000000000000000000000000000000000
χ608-88-800002-4024-40000-24-2000000−6i6i0000000000000000000000000000000000000
χ618-88-80000-420-4-226-6-664-24000000000000000000000000000000000000000000000
χ628-88-80000-420-4-22-666-64-24000000000000000000000000000000000000000000000
χ638-8-888-8002-40-2-44-4-444-2422-20000000000000000000000000000000000000000000
χ648-8-888-800-42042-222-2-24-2-4-440000000000000000000000000000000000000000000
χ658-8-88-88002-40-2-4444-4-4-242-220000000000000000000000000000000000000000000
χ668-8-88-8800-42042-2-2-2224-2-44-40000000000000000000000000000000000000000000

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