Finite Group Databasebeta

← Group #72344086

Character table — Group #72344086

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111466881212121212121216242424242424243232323248484848484848484848486464646464649696
order122222244222224442244444366624444444444661212121288
χ111111111111111111111111111111111111111111111111
χ211111111111111111-1-11-1-1-1-11111-1-1-111-1-1-1-1-1-1111111-1-1
χ31111111-1-11111111-1111-1-1111111-1-11-1-11-1111111-1-1-1-1-1-1
χ41111111-1-11111111-1-1-1111-1-1111111-1-1-1-11-1-1-1-111-1-1-1-111
χ51111-111111-1-1-1111-111-111111111-11-11-1-1-111-1-1-1-111-1-11-1
χ61111-111111-1-1-1111-1-1-1-1-1-1-1-111111-111-111-1-111-1-111-1-1-11
χ71111-111-1-11-1-1-1111111-1-1-11111111-1-1-11-1111-1-1-1-1-1-111-11
χ81111-111-1-11-1-1-11111-1-1-111-1-11111-111-111-1-1-111-1-1-1-1111-1
χ9222222222222222220020000-1-1-1-100022000000-1-1-1-1-1-100
χ102222222-2-22222222-20020000-1-1-1-1000-2-2000000-1-1111100
χ112222-222222-2-2-2222-200-20000-1-1-1-10002-200000011-1-11100
χ122222-222-2-22-2-2-2222200-20000-1-1-1-1000-220000001111-1-100
χ132-2-220-2200-200022-202-20002-22-22-200000002-20000000000
χ142-2-220-2200-200022-20-22000-222-22-20000000-220000000000
χ15333333333-13-1-1-1-1-1311-111110000111-1-111-1-1-1-1000000-1-1
χ16333333333-13-1-1-1-1-13-1-1-1-1-1-1-10000-1-1-1-1-1-1-1111100000011
χ173333333-3-3-13-1-1-1-1-1-311-1-1-1110000-1-11111-1-1-1-1-100000011
χ183333333-3-3-13-1-1-1-1-1-3-1-1-111-1-1000011-111-111111000000-1-1
χ193333-33333-1-311-1-1-1-311111110000-11-1-11-1-1-1-111000000-11
χ203333-33333-1-311-1-1-1-3-1-11-1-1-1-100001-11-111111-1-10000001-1
χ213333-333-3-3-1-311-1-1-13111-1-11100001-1-11-1-11-1-1110000001-1
χ223333-333-3-3-1-311-1-1-13-1-1111-1-10000-1111-11-111-1-1000000-11
χ234-4-440-4400-400044-400000000-22-220000000000000000000
χ2466666-2-2002-2222-2-2022-200-2-2000000200-20000000000000
χ2566666-2-2002-2222-2-20-2-2-20022000000-20020000000000000
χ2666666-2-200-2-2-2-2-222000222000000-2-200002000000000000
χ2766666-2-200-2-2-2-2-2220002-2-2000000220000-2000000000000
χ286666-6-2-20022-2-22-2-2022200-2-2000000-20020000000000000
χ296666-6-2-20022-2-22-2-20-2-220022000000200-20000000000000
χ306666-6-2-200-2222-222000-2220000002-20000-2000000000000
χ316666-6-2-200-2222-222000-2-2-2000000-2200002000000000000
χ326-6-6602-200-204-42-2202-2000-2200000000000002-200000000
χ336-6-6602-200-204-42-220-220002-20000000000000-2200000000
χ346-6-6602-200-20-442-2202-2000-220000000000000-2200000000
χ356-6-6602-200-20-442-220-220002-200000000000002-200000000
χ366-6-660-66002000-2-2202-20002-200000000000-220000000000
χ376-6-660-66002000-2-220-22000-22000000000002-20000000000
χ3888-8-80004i−4i00000000000000022-2-200000000000002i−2i0000
χ3988-8-80004i−4i000000000000000-1-11100000000000−i3i3−ii3−300
χ4088-8-80004i−4i000000000000000-1-11100000000000i3−i3−ii−3300
χ4188-8-8000−4i4i00000000000000022-2-20000000000000−2i2i0000
χ4288-8-8000−4i4i000000000000000-1-11100000000000−i3i3i−i−3300
χ4388-8-8000−4i4i000000000000000-1-11100000000000i3−i3i−i3−300
χ448-88-800000000000000004-4002-2-220000000000000000000
χ458-88-80000000000000000-44002-2-220000000000000000000
χ4612-12-121204-4004000-44-40000000000000000000000000000000
χ4716-1616-1600000000000000000000-222-20000000000000000000

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