Finite Group Databasebeta

← Group #11922490

Character table — Group #11922490

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size112224466888121212121216161624242424242424323232323636363636364848484848727296
order123462122436624681236124488121212666122448881224242424286
χ1111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-11-1-11111-11-11-1-1-1-1-111-1-11
χ3111111111111-111-1111111111111111-1-1-1-1-1-1111-1-1-1-1-1
χ4111111111111-111-11111-1-1-1-11-1-111111-11-111-1-1-1-1-111-1
χ511111-11111-111-11-111111-1-11-1-1-1-1-1-11111-1111-11-1-1-1-11
χ611111-11111-111-11-11111-111-1-111-1-1-11-11-1-1-1-1-11-1-1-1111
χ711111-11111-11-1-11111111-1-11-1-1-1-1-1-11-1-1-11-1-11-111111-1
χ811111-11111-11-1-1111111-111-1-111-1-1-111-11111-11-111-1-1-1
χ9222222222-12-122222-1-1-10000200-1-1-1-1020200000-1-100-1
χ10222222222-12-1-222-22-1-1-10000200-1-1-1-10-20-20000011001
χ1122222-2222-1-2-12-22-22-1-1-10000-200111-1020-2000001100-1
χ1222222-2222-1-2-1-2-2222-1-1-10000-200111-10-20200000-1-1001
χ13222-220-2-2220200-20222-20000000000-220-202-200000000
χ14222-220-2-2220200-20222-20000000000-2-2020-2200000000
χ1522-12-12-1222-1202-10-1-1-122222-1-1-12-1-1-1000000-1-1-100000
χ1622-12-12-1222-1202-10-1-1-12-2-2-2-2-1112-1-1-100000011100000
χ1722-12-1-2-1222120-2-10-1-1-122-2-22111-211-1000000-11-100000
χ1822-12-1-2-1222120-2-10-1-1-12-222-21-1-1-211-10000001-1100000
χ193333333-1-10303-1-13-10001-11-1-1-1-100001-11-1-1-111-1001-10
χ203333333-1-10303-1-13-1000-11-11-1110000-1-1-1-111-1-1100-110
χ213333333-1-1030-3-1-1-3-10001-11-1-1-1-10000-11-111111-100-110
χ223333333-1-1030-3-1-1-3-1000-11-11-11100001111-1-1-1-11001-10
χ2333333-33-1-10-3031-1-3-100011-1-111100001-111-1-11-1-100-110
χ2433333-33-1-10-3031-1-3-1000-1-1111-1-10000-1-1-1111-111001-10
χ2533333-33-1-10-30-31-13-100011-1-11110000-11-1-1111-1-1001-10
χ2633333-33-1-10-30-31-13-1000-1-1111-1-10000111-1-1-1-11100-110
χ27444-440-4-44-20-200-404-2-220000000000200000000000000
χ2844-24-24-244-2-2-204-20-211-20000-200-211100000000000000
χ2944-24-2-4-244-22-20-4-20-211-200002002-1-1100000000000000
χ3044-2-4-202-444040020-2-2-2-40000000000200000000000000
χ3144-2-4-202-44-20-20020-2112000000003-3-100000000000000
χ3244-2-4-202-44-20-20020-211200000000-33-100000000000000
χ33666-660-62-20000020-20000000000000020-20-2200000000
χ34666-660-62-20000020-200000000000000-20202-200000000
χ3566-36-36-3-2-20-300-21010002-22-21110000000000-1-1100000
χ3666-36-36-3-2-20-300-2101000-22-221-1-1000000000011-100000
χ3766-36-3-6-3-2-20300210100022-2-2-1-1-10000000000-11100000
χ3866-36-3-6-3-2-203002101000-2-222-11100000000001-1-100000
χ398-880-8000020-2000002-2000000000000000000000i6−i6000
χ408-880-8000020-2000002-2000000000000000000000−i6i6000
χ418-880-80000-40400000-4400000000000000000000000000
χ428-8-4040000-404000002-2000000−2i32i3000000000000000000
χ438-8-4040000-404000002-20000002i3−2i3000000000000000000
χ441212-6-12-6064-400000-2020000000000000000000000000000
χ4516-16-808000040-400000-2200000000000000000000000000

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