Finite Group Databasebeta

← Group #72341777

Character table — Group #72341777

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111466881212121212121216242424242424243232323248484848484848484848486464646464649696
order1222222222224444424444443666244444488886666121244
χ111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-1111111-1-1
χ31111111-1-11111111-1111-1-11111111-1-1-1-11-1111111-1-1-1-1-1-1
χ41111111-1-11111111-11-1-111-1-11111-11-11-1-11-1-1-1-111-1-1-1-111
χ51111-11111-1111-1-11-1-11111111111-1-1-1-11-1111-1-1-1-111-1-11-1
χ61111-11111-1111-1-11-1-1-1-1-1-1-1-1111111-1111-1-1-111-1-111-1-1-11
χ71111-111-1-1-1111-1-111-111-1-1111111-1111-1-1-111-1-1-1-1-1-111-11
χ81111-111-1-1-1111-1-111-1-1-111-1-111111-11-1-111-1-111-1-1-1-1111-1
χ9222222222222222222000000-1-1-1-100202000000-1-1-1-1-1-100
χ102222222-2-22222222-22000000-1-1-1-100-20-2000000-1-1111100
χ112222-22222-2222-2-22-2-2000000-1-1-1-100-20200000011-1-11100
χ122222-222-2-2-2222-2-222-2000000-1-1-1-10020-20000001111-1-100
χ132-2-220-220002-2-2002002-2002-222-2-200000002-20000000000
χ142-2-220-220002-2-200200-2200-2222-2-20000000-220000000000
χ153333333333-1-1-1-1-1-13-1111111000011-11-111-1-1-1-1000000-1-1
χ163333333333-1-1-1-1-1-13-1-1-1-1-1-1-10000-1-1-1-1-1-1-1111100000011
χ173333333-3-33-1-1-1-1-1-1-3-111-1-11100001-11-111-1-1-1-1-100000011
χ183333333-3-33-1-1-1-1-1-1-3-1-1-111-1-10000-11111-111111000000-1-1
χ193333-33333-3-1-1-111-1-311111110000-1-11-1-1-11-1-111000000-11
χ203333-33333-3-1-1-111-1-31-1-1-1-1-1-100001111-11-111-1-10000001-1
χ213333-333-3-3-3-1-1-111-13111-1-1110000-11-111-1-1-1-1110000001-1
χ223333-333-3-3-3-1-1-111-131-1-111-1-100001-1-1-111111-1-1000000-11
χ234-4-440-440004-4-400400000000-2-2220000000000000000000
χ2466666-2-200-222-2-2-2-2020022000000020-200-2000000000000
χ2566666-2-200-222-2-2-2-20200-2-20000000-202002000000000000
χ2666666-2-200-2-2-222220-22200-2-2000020000-20000000000000
χ2766666-2-200-2-2-222220-2-2-200220000-2000020000000000000
χ286666-6-2-200222-222-20-200220000000-20200-2000000000000
χ296666-6-2-200222-222-20-200-2-2000000020-2002000000000000
χ306666-6-2-2002-2-22-2-22022200-2-20000-2000020000000000000
χ316666-6-2-2002-2-22-2-2202-2-20022000020000-20000000000000
χ326-6-6602-2000-22-24-42002-200-2200000000000002-200000000
χ336-6-6602-2000-22-24-4200-22002-20000000000000-2200000000
χ346-6-6602-2000-22-2-442002-200-220000000000000-2200000000
χ356-6-6602-2000-22-2-44200-22002-200000000000002-200000000
χ366-6-660-66000-22200-2002-2002-200000000000-220000000000
χ376-6-660-66000-22200-200-2200-22000000000002-20000000000
χ3888-8-800000000000000004i−4i002-22-20000000000000000000
χ3988-8-80000000000000000−4i4i002-22-20000000000000000000
χ408-88-80004-40000000000000002-2-2200000000000002-20000
χ418-88-80004-4000000000000000-111-100000000000−i3i3-11−i3i300
χ428-88-80004-4000000000000000-111-100000000000i3−i3-11i3−i300
χ438-88-8000-440000000000000002-2-220000000000000-220000
χ448-88-8000-44000000000000000-111-100000000000−i3i31-1i3−i300
χ458-88-8000-44000000000000000-111-100000000000i3−i31-1−i3i300
χ4612-12-121204-40004-4400-40000000000000000000000000000000
χ471616-16-1600000000000000000000-22-220000000000000000000

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