Finite Group Databasebeta

← Group #72341767

Character table — Group #72341767

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111466881212121212121216242424242424243232323248484848484848484848486464646464649696
order122242222222244444444444366644444448888661212121244
χ111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-1111111-1-1
χ31111111-1-11111111-1111-1-1111111-11-1-1-11-11111-1-111-1-1-1-1
χ41111111-1-11111111-11-1-111-1-111111-1-11-1-11-1-1-1-1-1-111-1-111
χ51111-11111-1-1111-11-1-11111111111-1-1-1-11-1111-1-111-1-1-1-11-1
χ61111-11111-1-1111-11-1-1-1-1-1-1-1-1111111-1111-1-1-11111-1-1-1-1-11
χ71111-111-1-1-1-1111-111-111-1-11111111-111-1-1-111-1-1-1-1-1-111-11
χ81111-111-1-1-1-1111-111-1-1-111-1-11111-111-1-111-1-111-1-1-1-1111-1
χ9222222222222222222000000-1-1-1-100202000000-1-1-1-1-1-100
χ102222222-2-22222222-22000000-1-1-1-100-20-200000011-1-11100
χ112222-22222-2-2222-22-2-2000000-1-1-1-100-202000000-1-1111100
χ122222-222-2-2-2-2222-222-2000000-1-1-1-10020-20000001111-1-100
χ132-2-220-2200002-2-202002-2002-22-22-200000002-20000000000
χ142-2-220-2200002-2-20200-2200-222-22-20000000-220000000000
χ15333333333-1-1-1-1-13-13-1111111000011-11-111-1-1-1-1000000-1-1
χ16333333333-1-1-1-1-13-13-1-1-1-1-1-1-10000-1-1-1-1-1-1-1111100000011
χ173333333-3-3-1-1-1-1-13-1-3-111-1-1110000-111-111-1-1-1-1-100000011
χ183333333-3-3-1-1-1-1-13-1-3-1-1-111-1-100001-1111-111111000000-1-1
χ193333-3333311-1-1-1-3-1-311111110000-1-11-1-1-11-1-111000000-11
χ203333-3333311-1-1-1-3-1-31-1-1-1-1-1-100001111-11-111-1-10000001-1
χ213333-333-3-311-1-1-1-3-13111-1-11100001-1-111-1-1-1-1110000001-1
χ223333-333-3-311-1-1-1-3-131-1-111-1-10000-11-1-111111-1-1000000-11
χ234-4-440-4400004-4-40400000000-22-220000000000000000000
χ2466666-2-20022-2-22-220-22200-2-2000002000-20000000000000
χ2566666-2-20022-2-22-220-2-2-2002200000-200020000000000000
χ2666666-2-200-2-222-2-2-2020022000000200-200-2000000000000
χ2766666-2-200-2-222-2-2-20200-2-2000000-2002002000000000000
χ286666-6-2-2002222-22-20-20022000000-200200-2000000000000
χ296666-6-2-2002222-22-20-200-2-2000000200-2002000000000000
χ306666-6-2-200-2-2-2-2222022200-2-200000-200020000000000000
χ316666-6-2-200-2-2-2-222202-2-20022000002000-20000000000000
χ326-6-6602-2004-4-22-202002-200-2200000000000002-200000000
χ336-6-6602-2004-4-22-20200-22002-20000000000000-2200000000
χ346-6-6602-200-44-22-202002-200-220000000000000-2200000000
χ356-6-6602-200-44-22-20200-22002-200000000000002-200000000
χ366-6-660-660000-2220-2002-2002-200000000000-220000000000
χ376-6-660-660000-2220-200-2200-22000000000002-20000000000
χ3888-8-80004-400000000000000022-2-2000000000002-2000000
χ3988-8-80004-4000000000000000-1-11100000000000-113−33−300
χ4088-8-80004-4000000000000000-1-11100000000000-11−33−3300
χ4188-8-8000-4400000000000000022-2-200000000000-22000000
χ4288-8-8000-44000000000000000-1-111000000000001-13−3−3300
χ4388-8-8000-44000000000000000-1-111000000000001-1−333−300
χ448-88-800000000000000004i−4i002-2-220000000000000000000
χ458-88-80000000000000000−4i4i002-2-220000000000000000000
χ4612-12-121204-400004-440-40000000000000000000000000000000
χ4716-1616-1600000000000000000000-222-20000000000000000000

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