Finite Group Databasebeta

← Group #11882216

Character table — Group #11882216

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888881818181818181818242424242424242436363636363636364848484848484848
order122222334466666666661212121212121212444444442222444488888888666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-11-11-11-11111-1-1-1-11-11-11-11-1
χ611111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-11-1-1-1-111111-1-111-1-11
χ711111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-111-1-1-1-1-11111-111-1-111-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-11-111111-1-1-1-1-11-11-11-11
χ91111-1-1111-1111111-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-111-1-1111-1-1-1-11
χ101111-1-1111-1111111-1-1-1-11111-1-1-1-11-1-111-1-1111-11-1-11-1-1-111-1-11111-11-1-11-1
χ111111-1-1111-1111111-1-1-1-11111-1-1-1-11-1-111-1-11-1-11-111-11-1-111-1-111-1-11-111-11
χ121111-1-1111-1111111-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-11111-111-1-111-1-1-1-1-11111-1
χ131111-1-111-11111111-1-1-1-1-1-1-1-111111-1-1-1-11111-111-11-1-111-1-1-1-1111-111-11-1-1
χ141111-1-111-11111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-1-1-1111
χ151111-1-111-11111111-1-1-1-1-1-1-1-111111-1-1-1-1111-11111-1-1-1-1-11111-1-1-11111-1-1-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-111111-1-1-1-1111-11-1-11-11111-1-1-1-111-11-1-11-111
χ172222222222222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-22222-2000000000000000000000000
χ192222-2-2222-2222222-2-2-2-22222-2-2-2-2-222-2-222-2000000000000000000000000
χ202222-2-222-22222222-2-2-2-2-2-2-2-22222-22222-2-2-2000000000000000000000000
χ212-2-222-22200-2-2-2-22222-2-2000000000002-22-20000000002−22−22−22−200000000
χ222-2-222-22200-2-2-2-22222-2-2000000000002-22-2000000000−22−22−22−2200000000
χ232-2-222-22200-2-2-2-22222-2-200000000000-22-220000000002−22−2−22−2200000000
χ242-2-222-22200-2-2-2-22222-2-200000000000-22-22000000000−22−222−22−200000000
χ252-2-22-222200-2-2-2-222-2-222000000000002-2-220000000002−2−222−2−2200000000
χ262-2-22-222200-2-2-2-222-2-222000000000002-2-22000000000−222−2−222−200000000
χ272-2-22-222200-2-2-2-222-2-22200000000000-222-20000000002−2−22−222−200000000
χ282-2-22-222200-2-2-2-222-2-22200000000000-222-2000000000−222−22−2−2200000000
χ294444441-2441-21-21-21-21-211-2-211-2-200000000002200220000000000-1-100-1-1
χ304444441-2441-21-21-21-21-211-2-211-2-20000000000-2-200-2-20000000000110011
χ314444441-2-4-41-21-21-21-21-2-1-122-1-12200000000002-2002-20000000000-1100-11
χ324444441-2-4-41-21-21-21-21-2-1-122-1-1220000000000-2200-2200000000001-1001-1
χ33444444-2144-21-21-21-21-21-2-211-2-211000000002200220000000000-1-100-1-100
χ34444444-2144-21-21-21-21-21-2-211-2-21100000000-2-200-2-2000000000011001100
χ35444444-21-4-4-21-21-21-21-2122-1-122-1-1000000002-2002-20000000000-1100-1100
χ36444444-21-4-4-21-21-21-21-2122-1-122-1-100000000-2200-2200000000001-1001-100
χ374444-4-41-24-41-21-21-2-12-1211-2-2-1-12200000000002-200-220000000000-11001-1
χ384444-4-41-24-41-21-21-2-12-1211-2-2-1-1220000000000-22002-200000000001-100-11
χ394444-4-41-2-441-21-21-2-12-12-1-12211-2-200000000002200-2-20000000000-1-10011
χ404444-4-41-2-441-21-21-2-12-12-1-12211-2-20000000000-2-2002200000000001100-1-1
χ414444-4-4-214-4-21-21-212-12-1-2-21122-1-1000000002200-2-20000000000-1-1001100
χ424444-4-4-214-4-21-21-212-12-1-2-21122-1-100000000-2-2002200000000001100-1-100
χ434444-4-4-21-44-21-21-212-12-122-1-1-2-211000000002-200-220000000000-11001-100
χ444444-4-4-21-44-21-21-212-12-122-1-1-2-21100000000-22002-200000000001-100-1100
χ4544-4-4004400-4-444-4-400000000000004i−4i00000000000000000000000000000
χ4644-4-4004400-4-444-4-40000000000000−4i4i00000000000000000000000000000
χ474-44-400440044-4-4-4-40000000000004000000-4000000000000000000000000
χ484-44-400440044-4-4-4-4000000000000-40000004000000000000000000000000
χ4988-8-8002-400-242-4-24000000006-60000000000000000000000000000000000
χ5088-8-8002-400-242-4-2400000000-660000000000000000000000000000000000
χ5188-8-800-42004-2-424-20000006-6000000000000000000000000000000000000
χ5288-8-800-42004-2-424-2000000-66000000000000000000000000000000000000
χ538-88-8002-4002-4-24-2400006i−6i00000000000000000000000000000000000000
χ548-88-8002-4002-4-24-240000−6i6i00000000000000000000000000000000000000
χ558-88-800-4200-424-24-200000000006i−6i00000000000000000000000000000000
χ568-88-800-4200-424-24-20000000000−6i6i00000000000000000000000000000000
χ578-8-888-82-400-24-242-42-4-240000000000000000000000000000000000000000
χ588-8-888-8-42004-24-2-42-424-20000000000000000000000000000000000000000
χ598-8-88-882-400-24-242-4-242-40000000000000000000000000000000000000000
χ608-8-88-88-42004-24-2-424-2-420000000000000000000000000000000000000000

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