Finite Group Databasebeta

← Group #72258077

Character table — Group #72258077

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122336666666612121212121212121212121212121212121212121212121212121272727272128128128128128128144144144144144144
order12362222444466222224466666666666612121212121212124444333666248888
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3222222222222222222222222222222222222222220000-1-1-1-1-1-1000000
χ422-1-122222222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002-1-12-1-1000000
χ522-1-122222222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-12-1-12-1000000
χ622-1-122222222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-12-1-12000000
χ733333333-1-1-1-1333-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000011-1-1-1-1
χ833333333-1-1-1-1333-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-11111
χ9333333-1-133-1-133-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-11111000000-1-111-1-1
χ10333333-1-133-1-133-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-100000011-1-111
χ11333333-1-1-1-13333-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133331111000000-1-1-1-111
χ12333333-1-1-1-13333-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-10000001111-1-1
χ133333-1-13-13-13-1-1-1-13-1-1-1-1-13-1-1-133-1-1-1-1-1-13-1-1-13-1-1-111-1-10000001-11-11-1
χ143333-1-13-13-13-1-1-1-13-1-1-1-1-13-1-1-133-1-1-1-1-1-13-1-1-13-1-1-1-1-111000000-11-11-11
χ153333-1-13-1-13-13-1-1-1-13-1-1-1-13-1-1-1-1-133-1-1-1-1-13-1-1-13-1-111-1-10000001-1-11-11
χ163333-1-13-1-13-13-1-1-1-13-1-1-1-13-1-1-1-1-133-1-1-1-1-13-1-1-13-1-1-1-111000000-111-11-1
χ173333-1-1-133-1-13-1-1-1-1-13-1-1-1-13-1-1-1-1-1-133-1-13-1-1-1-13-1-111-1-1000000-111-1-11
χ183333-1-1-133-1-13-1-1-1-1-13-1-1-1-13-1-1-1-1-1-133-1-13-1-1-1-13-1-1-1-1110000001-1-111-1
χ193333-1-1-13-133-1-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-133-13-1-13-1-1-111-1-1000000-11-111-1
χ203333-1-1-13-133-1-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-133-13-1-13-1-1-1-1-1110000001-11-1-11
χ214-44-4-440000004-40000000000000000000000000002-22-2111-1-1-1000000
χ224-44-4-440000004-4000000000000000000000000000-22-22111-1-1-1000000
χ23666666-2-2-2-2-2-266-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000
χ246666-2-26-2-2-2-2-2-2-2-2-2-222226-2-2-2-2-2-2-22222-2-222-2-2220000000000000000
χ256666-2-2-26-2-2-2-2-2-2-222-2-222-26-2-22222-2-2-2-2-2-222-2-2220000000000000000
χ266666-2-2-2-26-2-2-2-2-22-22-22-22-2-222-2-222-2-2226-2-2-2-2-2220000000000000000
χ276666-2-2-2-2-26-2-2-2-222-22-2-22-2-22222-2-222-2-2-26-2-2-2-2220000000000000000
χ286666-2-2-2-2-2-26-2-2-22-222-22-2-2-222-2-22222-2-2-2-2226-2-2-20000000000000000
χ296666-2-2-2-2-2-2-26-2-222-2-222-2-2-22222-2-2-2-222-2-222-26-2-20000000000000000
χ3066-3-36666-2-2-2-2-3-36-2-2-2-2-2-2-3-3-3-311111111111111110000000000000000
χ3166-3-366-2-266-2-2-3-3-2-2-2-2-26-2111111111111-3-3-3-311110000000000000000
χ3266-3-366-2-2-2-266-3-3-2-2-2-2-2-261111111111111111-3-3-3-30000000000000000
χ3366-3-366-2-2-2-2-2-2-3-3-22222-2-21111−1+2i3−1−2i3−1+2i3−1−2i3−1+2i3−1−2i3−1+2i3−1−2i3111111110000000000000000
χ3466-3-366-2-2-2-2-2-2-3-3-22222-2-21111−1−2i3−1+2i3−1−2i3−1+2i3−1−2i3−1+2i3−1−2i3−1+2i3111111110000000000000000
χ3566-3-3-2-26-26-26-211-26-2-2-2-2-2-3111-3-3111111-3111-31110000000000000000
χ3666-3-3-2-26-2-26-2611-2-26-2-2-2-2-311111-3-311111-3111-3110000000000000000
χ3766-3-3-2-26-2-2-2-2-211-2-2-22222-31111111−1+2i3−1−2i3−1−2i3−1+2i311−1+2i3−1−2i311−1+2i3−1−2i30000000000000000
χ3866-3-3-2-26-2-2-2-2-211-2-2-22222-31111111−1−2i3−1+2i3−1+2i3−1−2i311−1−2i3−1+2i311−1−2i3−1+2i30000000000000000
χ3966-3-3-2-2-266-2-2611-2-2-26-2-2-21-3111111-3-311-31111-3110000000000000000
χ4066-3-3-2-2-26-266-211-2-2-2-26-2-21-311111111-3-31-311-31110000000000000000
χ4166-3-3-2-2-26-2-2-2-211-222-2-2221-311−1+2i3−1−2i3−1−2i3−1+2i3111111−1+2i3−1−2i311−1−2i3−1+2i30000000000000000
χ4266-3-3-2-2-26-2-2-2-211-222-2-2221-311−1−2i3−1+2i3−1+2i3−1−2i3111111−1−2i3−1+2i311−1+2i3−1−2i30000000000000000
χ4366-3-3-2-2-2-26-2-2-2112-22-22-2211−1+2i3−1−2i311−1+2i3−1−2i311−1−2i3−1+2i3-311111−1−2i3−1+2i30000000000000000
χ4466-3-3-2-2-2-26-2-2-2112-22-22-2211−1−2i3−1+2i311−1−2i3−1+2i311−1+2i3−1−2i3-311111−1+2i3−1−2i30000000000000000
χ4566-3-3-2-2-2-2-26-2-21122-22-2-2211−1+2i3−1−2i3−1+2i3−1−2i311−1−2i3−1+2i3111-31111−1+2i3−1−2i30000000000000000
χ4666-3-3-2-2-2-2-26-2-21122-22-2-2211−1−2i3−1+2i3−1−2i3−1+2i311−1+2i3−1−2i3111-31111−1−2i3−1+2i30000000000000000
χ4766-3-3-2-2-2-2-2-26-2112-222-22-211−1+2i3−1−2i311−1−2i3−1+2i3−1+2i3−1−2i31111−1−2i3−1+2i3-31110000000000000000
χ4866-3-3-2-2-2-2-2-26-2112-222-22-211−1−2i3−1+2i311−1+2i3−1−2i3−1−2i3−1+2i31111−1+2i3−1−2i3-31110000000000000000
χ4966-3-3-2-2-2-2-2-2-261122-2-222-211−1+2i3−1−2i3−1−2i3−1+2i31111−1+2i3−1−2i311−1+2i3−1−2i31-3110000000000000000
χ5066-3-3-2-2-2-2-2-2-261122-2-222-211−1−2i3−1+2i3−1+2i3−1−2i31111−1−2i3−1+2i311−1−2i3−1+2i31-3110000000000000000
χ518-88-8-880000008-80000000000000000000000000000000-1-1-1111000000
χ528-8-44-88000000-4400000000000000000000000000000002-1-1-211000000
χ538-8-44-88000000-440000000000000000000000000000000-12-11-21000000
χ548-8-44-88000000-440000000000000000000000000000000-1-1211-2000000
χ5512-1212-124-4000000-440000000000000000000000000002-2-22000000000000
χ5612-1212-124-4000000-44000000000000000000000000000-222-2000000000000
χ5724-24-12128-80000004-40000000000000000000000000000000000000000000

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