Finite Group Databasebeta

← Group #72233235

Character table — Group #72233235

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112266812121216182424242424242424323236363636484848484848486464646464727272729696144144192192
order1236224246122222444612362224466812121236121212444412244866
χ1111111111111111111111111111111111111111111111111
χ21111111111111-1-11-1-111111-1-11-1-1-1-11-1-111111-11-1-1-1-1-1-111
χ3111111-1111-11-11-1-11-11111111111-1-1-11-111-1-1-1-1-11-11-11-11-1
χ4111111-1111-11-1-11-1-1111111-1-11-1-111-1-1111-1-1-11-1-11-11-111-1
χ51111-1111111-1-1111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ61111-1111111-1-1-1-11-1-11111-111-1-1-1-1-11-1-1111111-111-1-111-1-1
χ71111-11-1111-1-111-1-11-11111-1-1-1-111-1-1-11-111-1-1-111-111-1-11-11
χ81111-11-1111-1-11-11-1-111111-111-1-1-111-1-1111-1-1-1-111-1-111-1-11
χ922222222222220020022-1-120020000200-1-1-1-1-102000000-1-1
χ10222222-2222-22-200-20022-1-120020000-200-1-11110-2000000-11
χ112222-2222222-2-20020022-1-1-200-20000200-1-1-1-1-10-200000011
χ122222-22-2222-2-2200-20022-1-1-200-20000-200-1-1111020000001-1
χ1322-1-102222-1-10022222-1-12200002-1-12-1-1-1-1-12-1-10000-1-10000
χ1422-1-102222-1-100-2-22-2-2-1-1220000-211-2-111-1-12-1-10000110000
χ1522-1-102-222-11002-2-22-2-1-12200002-11-21-11-1-1-2110000-110000
χ1622-1-102-222-1100-22-2-22-1-1220000-21-1211-1-1-1-21100001-10000
χ173333333-1-1333311-111-1-100-111-1-111-1-111000001-111-1-1-1-100
χ183333333-1-13333-1-1-1-1-1-1-100-1-1-1-11-1-11-1-1-100000-1-1-1-1111100
χ19333333-3-1-13-33-31-111-1-1-100-111-1-11-1111-100000-111-1-11-1100
χ20333333-3-1-13-33-3-111-11-1-100-1-1-1-11-11-11-110000011-111-11-100
χ213333-333-1-133-3-311-111-1-1001-1-11-111-1-11100000-11-1-1-1-11100
χ223333-333-1-133-3-3-1-1-1-1-1-1-10011111-1-11-1-1-100000111111-1-100
χ233333-33-3-1-13-3-331-111-1-1-1001-1-11-11-1111-1000001-1-11-111-100
χ243333-33-3-1-13-3-33-111-11-1-10011111-11-11-1100000-1-11-11-1-1100
χ2544-2-204444-2-20000400-2-2-2-200000000-20011-2110000000000
χ2644-2-204-444-220000-400-2-2-2-200000000200112-1-10000000000
χ2766666-202-2-20-20200-202-200222-202000-200000000-20000000
χ2866666-202-2-20-20-200202-2002-2-2-20-200020000000020000000
χ2966666-20-22-20-200200-2-2200-2002002000-200000200-2000000
χ3066666-20-22-20-200-2002-2200-200200-2000200000-2002000000
χ316666-6-202-2-2020200-202-200-2-2-2202000-20000000020000000
χ326666-6-202-2-2020-200202-200-22220-2000200000000-20000000
χ336666-6-20-22-20200200-2-2200200-2002000-200000-2002000000
χ346666-6-20-22-20200-2002-2200200-200-2000200000200-2000000
χ3566-3-3066-2-2-3-30022-22211000000-2-1-1-21-1-1000000000110000
χ3666-3-3066-2-2-3-300-2-2-2-2-2110000002112111000000000-1-10000
χ3766-3-306-6-2-2-33002-222-211000000-2-112-1-110000000001-10000
χ3866-3-306-6-2-2-3300-222-221100000021-1-2-11-1000000000-110000
χ398-88-800000000000000002-204-4000000002-20000000000000
χ408-88-800000000000000002-20-44000000002-20000000000000
χ411212-6-60-404-42000400-40-220000000-200020000000000000000
χ421212-6-60-404-42000-40040-2200000002000-20000000000000000
χ431212-6-60-40-4420000400-42-200000000-20002000000000000000
χ441212-6-60-40-4420000-40042-2000000002000-2000000000000000
χ4516-1616-160000000000000000-2200000000000-220000000000000
χ4616-16-8800000000000000004-400000000000-220000000000000
χ4716-16-880000000000000000-22000000000001-103i−3i0000000000
χ4816-16-880000000000000000-22000000000001-10−3i3i0000000000

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