Finite Group Databasebeta

← Group #72215741

Character table — Group #72215741

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size112224466666666666612121212121212121212121212123232323248484848484848484848484848484848646464646464
order1224424222222444444222222244444443612122244444488888888666121212
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111-1-111111111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-1-1
χ411111-1-111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11-1-1
χ511-1-111-1-1-1-1111-1-1-11111-1111-1-11-111-1-1-111-1-11-11-111-1-11-111-1-11-1-1111-1-1
χ611-1-111-1-1-1-1111-1-1-11111-1111-1-11-111-1-1-111-1-1-11-11-1-111-11-1-111-11-1111-1-1
χ711-1-11-11-1-1-1111-1-1-11111-1-1-1-1111-1-1-111111-1-11-11-1-1-111-1111-1-1-11-1-1-1111
χ811-1-11-11-1-1-1111-1-1-11111-1-1-1-1111-1-1-111111-1-1-11-1111-1-11-1-1-1111-1-1-1-1111
χ9222222222222222222222222222222222-1-1-1-10000000000000000-1-1-1-1-1-1
χ1022222-2-222222222222222-2-2-2-2-222-2-2-2-2-2-1-1-1-10000000000000000-111-111
χ11222-2-2002-2-22-2-222-222-22200000-2-20000022-2-20000000000000000200-200
χ12222-2-2002-2-22-2-222-222-22200000-2-200000-1-1110000000000000000-1−i3i31−i3i3
χ13222-2-2002-2-22-2-222-222-22200000-2-200000-1-1110000000000000000-1i3−i31i3−i3
χ1422-22-200-2222-2-2-2-2222-22-200000-220000022220000000000000000-200-200
χ1522-22-200-2222-2-2-2-2222-22-200000-2200000-1-1-1-100000000000000001−i3i31i3−i3
χ1622-22-200-2222-2-2-2-2222-22-200000-2200000-1-1-1-100000000000000001i3−i31−i3i3
χ1722-2-222-2-2-2-2222-2-2-22222-2222-2-22-222-2-2-2-1-11100000000000000001-1-1-111
χ1822-2-22-22-2-2-2222-2-2-22222-2-2-2-2222-2-2-2222-1-1110000000000000000111-1-1-1
χ1933333333-1-13-1-1-1-13-1-13-1-13-1-1-1-1-1-1-1-13-1-100001111-1-1-1-111-1-1-1-111000000
χ2033333333-1-13-1-1-1-13-1-13-1-13-1-1-1-1-1-1-1-13-1-10000-1-1-1-11111-1-11111-1-1000000
χ213333333-13-1-13-13-1-13-1-1-1-1-1-1-13-1-1-13-1-1-1-1000011-1-11-11-1111-11-1-1-1000000
χ223333333-13-1-13-13-1-13-1-1-1-1-1-1-13-1-1-13-1-1-1-10000-1-111-11-11-1-1-11-1111000000
χ233333333-1-13-1-13-13-1-13-1-1-1-1-1-1-13-1-1-13-1-1-1000011-1-1-11-1111-11-11-1-1000000
χ243333333-1-13-1-13-13-1-13-1-1-1-1-1-1-13-1-1-13-1-1-10000-1-1111-11-1-1-11-11-111000000
χ2533333-3-33-1-13-1-1-1-13-1-13-1-1-31111-1-111-311000011111111-1-1-1-1-1-1-1-1000000
χ2633333-3-33-1-13-1-1-1-13-1-13-1-1-31111-1-111-3110000-1-1-1-1-1-1-1-111111111000000
χ2733333-3-3-13-1-13-13-1-13-1-1-1-1111-31-1-1-31111000011-1-1-11-11-1-11-11-111000000
χ2833333-3-3-13-1-13-13-1-13-1-1-1-1111-31-1-1-311110000-1-1111-11-111-11-11-1-1000000
χ2933333-3-3-1-13-1-13-13-1-13-1-1-11111-3-1-11-3111000011-1-11-11-1-1-1-11-1111000000
χ3033333-3-3-1-13-1-13-13-1-13-1-1-11111-3-1-11-31110000-1-111-11-11111-11-1-1-1000000
χ3133-3-333-311-3-1-131-31-13-1-11-1-1-11-3-11-1311100001-1-11-111-11-1-111-1-11000000
χ3233-3-333-311-3-1-131-31-13-1-11-1-1-11-3-11-131110000-111-11-1-11-111-1-111-1000000
χ3333-3-333-31-31-13-1-3113-1-1-11-1-1-1-31-113-111100001-1-111-1-111-11-1-11-11000000
χ3433-3-333-31-31-13-1-3113-1-1-11-1-1-1-31-113-11110000-111-1-111-1-11-111-11-1000000
χ3533-3-333-3-3113-1-111-3-1-13-113-1-111-11-1-1-31100001-11-1-1-1111-1-1-1111-1000000
χ3633-3-333-3-3113-1-111-3-1-13-113-1-111-11-1-1-3110000-11-1111-1-1-1111-1-1-11000000
χ3733-3-33-3311-3-1-131-31-13-1-11111-13-111-3-1-1-100001-1-111-1-11-11-111-11-1000000
χ3833-3-33-3311-3-1-131-31-13-1-11111-13-111-3-1-1-10000-111-1-111-11-11-1-11-11000000
χ3933-3-33-331-31-13-1-3113-1-1-111113-1-11-31-1-1-100001-1-11-111-1-111-1-111-1000000
χ4033-3-33-331-31-13-1-3113-1-1-111113-1-11-31-1-1-10000-111-11-1-111-1-111-1-11000000
χ4133-3-33-33-3113-1-111-3-1-13-11-311-1-1-11113-1-100001-11-111-1-1-11-1-111-11000000
χ4233-3-33-33-3113-1-111-3-1-13-11-311-1-1-11113-1-10000-11-11-1-1111-111-1-11-1000000
χ436666666-2-2-2-2-2-2-2-2-2-2-2-222-222-2-222-2-2-22200000000000000000000000000
χ4466666-6-6-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222-2-200000000000000000000000000
χ45666-6-600622622-2-2-6-2-2-6-2-200000220000000000000000000000000000000
χ46666-6-600-222-222-2-22-2-222204-400-2-20004-400000000000000000000000000
χ47666-6-600-222-222-2-22-2-22220-4400-2-2000-4400000000000000000000000000
χ48666-6-600-22-6-22-6-262-262-2-200000220000000000000000000000000000000
χ49666-6-600-2-62-2-626-226-22-2-200000220000000000000000000000000000000
χ5066-66-60026-2-2-62-62-26-22-22000002-20000000000000000000000000000000
χ5166-66-6002-26-22-62-6-2-262-22000002-20000000000000000000000000000000
χ5266-66-6002-2-2-22222-2-2-222-204-400-22000-4400000000000000000000000000
χ5366-66-6002-2-2-22222-2-2-222-20-4400-220004-400000000000000000000000000
χ5466-66-600-6-2-2622226-2-2-6-22000002-20000000000000000000000000000000
χ5566-6-666-6222-2-2-2222-2-2-22-2-222222-2-2-22-2-200000000000000000000000000
χ5666-6-66-66222-2-2-2222-2-2-22-22-2-2-2-22-222-22200000000000000000000000000
χ5716-1600000000000000000000000000000004-4000000000000000000000000
χ5816-160000000000000000000000000000000-2223−230000000000000000000000
χ5916-160000000000000000000000000000000-22−23230000000000000000000000

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