Finite Group Databasebeta

← Group #72274951

Character table — Group #72274951

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1122668121212121216182424242424242432323232363648484848484848646464647272727272969696969696144144
order1236222222466224444612366624468121212123666244446666122448
χ1111111111111111111111111111111111111111111111111111
χ211111111111111-1-11-1-111111111-1-1-1-11-1-11111-1-11-1-11111-1-1-1-1
χ3111111-1-1-1111-111-1-11-11111-1-11111-1-1-11-111-1-1-11-11-111-1-11-11-1
χ4111111-1-1-1111-11-11-1-111111-1-111-1-111-1-1111-1-11-1-1-1111-1-1-11-11
χ51111-111-1-11111-111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ61111-111-1-11111-1-1-11-1-1111111-1-1-1-1-1-11-1-1111111-111-1-1-1-1-1-111
χ71111-11-111111-1-11-1-11-11111-1-1-1-111-1-1-11-111-1-11-11-11-1-1111-1-11
χ81111-11-111111-1-1-11-1-111111-1-1-1-1-1-111-1-1111-1-1-1111-1-1-111-111-1
χ9222222222222220020022-1-1-1-1220000200-1-1-1-100200-1-1-1-10000
χ10222222-2-2-2222-2200-20022-1-111220000-200-1-11100-200-1-1110000
χ112222-222-2-22222-20020022-1-1-1-1-2-20000200-1-1-1-100-20011110000
χ122222-22-222222-2-200-20022-1-111-2-20000-200-1-1110020011-1-10000
χ1322-1-10220022-1-1022222-1-12222002-12-1-1-1-1-1-1-1-1000000000-1-100
χ1422-1-10220022-1-10-2-22-2-2-1-1222200-21-21-111-1-1-1-10000000001100
χ1522-1-102-20022-1102-2-22-2-1-122-2-2002-1-211-11-1-111000000000-1100
χ1622-1-102-20022-110-22-2-22-1-122-2-200-212-111-1-1-1110000000001-100
χ17333333333-1-133311-111-1-10000-1-1-11-11-111000011-1110000-1-1-1-1
χ18333333333-1-1333-1-1-1-1-1-1-10000-1-11-11-1-1-1-10000-1-1-1-1-100001111
χ19333333-3-3-3-1-13-331-111-1-1-10000-1-1-111-111-10000-1111-10000-11-11
χ20333333-3-3-3-1-13-33-111-11-1-10000-1-11-1-111-1100001-11-1100001-11-1
χ213333-333-3-3-1-133-311-111-1-1000011-11-11-1110000-1-11-1-10000-1-111
χ223333-333-3-3-1-133-3-1-1-1-1-1-1-10000111-11-1-1-1-1000011111000011-1-1
χ233333-33-333-1-13-3-31-111-1-1-1000011-111-111-100001-1-1-110000-111-1
χ243333-33-333-1-13-3-3-111-11-1-10000111-1-111-110000-11-11-100001-1-11
χ2544-2-20440044-2-2000400-2-2-2-2-2-2000000-20011110000000000000
χ2644-2-204-40044-22000-400-2-2-2-22200000020011-1-10000000000000
χ2766666-20002-2-20-2200-202-200002-202000-200000020-2000000000
χ2866666-20002-2-20-2-200202-200002-20-20002000000-202000000000
χ2966666-2000-22-20-20200-2-220000-22000200-200002000-200000000
χ3066666-2000-22-20-20-2002-220000-22000-20020000-2000200000000
χ316666-6-20002-2-202200-202-20000-2202000-2000000-202000000000
χ326666-6-20002-2-202-200202-20000-220-2000200000020-2000000000
χ336666-6-2000-22-2020200-2-2200002-2000200-20000-2000200000000
χ346666-6-2000-22-2020-2002-2200002-2000-200200002000-200000000
χ3566-3-306600-2-2-3-3022-22211000000-2-1-2-11-1-100000000000001100
χ3666-3-306600-2-2-3-30-2-2-2-2-21100000021211110000000000000-1-100
χ3766-3-306-600-2-2-3302-222-211000000-2-121-1-1100000000000001-100
χ3866-3-306-600-2-2-330-222-221100000021-2-1-11-10000000000000-1100
χ398-88-80004-40000000000002-2000000000002-20000000002-20000
χ408-88-80004-4000000000000-11i3−i3000000000-11i3−i300000i3−i3-110000
χ418-88-80004-4000000000000-11−i3i3000000000-11−i3i300000−i3i3-110000
χ428-88-8000-440000000000002-2000000000002-2000000000-220000
χ438-88-8000-44000000000000-11i3−i3000000000-11i3−i300000−i3i31-10000
χ448-88-8000-44000000000000-11−i3i3000000000-11−i3i300000i3−i31-10000
χ451212-6-60-40004-4200400-40-220000000-20002000000000000000000
χ461212-6-60-40004-4200-40040-2200000002000-2000000000000000000
χ471212-6-60-4000-442000400-42-2000000000-200200000000000000000
χ481212-6-60-4000-442000-40042-2000000000200-200000000000000000
χ4916-16-88000000000000000004-400000000000-22000000000000000
χ5016-16-8800000000000000000-222i3−2i30000000001-1−i3i30000000000000
χ5116-16-8800000000000000000-22−2i32i30000000001-1i3−i30000000000000

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