Finite Group Databasebeta

← Group #13165996

Character table — Group #13165996

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1223466666612121212121212121224323232363636646464727272727272969696108108216
order133234466121226121212121212126333224333668122424666248
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111-11-1-1-1-1111-1-1-1
χ311111111111-111111111-1111-1111111-11111-1-1-1-1-1-1
χ411111111111-111111111-1111-1-1-1111-1-1-1-1-1-1-1-1-1111
χ5222222222222222222222-1-1-1200-1-1-1020000-1-1-1000
χ622222222222-222222222-2-1-1-1-200-1-1-10-20000111000
χ722-12-122-12222-1-1-12-1-1-1-1-12-1-12002-1-10-100002-1-1000
χ822-12-122-12222-1-1-12-1-1-1-1-1-12-1200-12-10-10000-12-1000
χ922-12-122-12222-1-1-12-1-1-1-1-1-1-12200-1-120-10000-1-12000
χ1022-12-122-1222-2-1-1-12-1-1-1-112-1-1-2002-1-1010000-211000
χ1122-12-122-1222-2-1-1-12-1-1-1-11-12-1-200-12-10100001-21000
χ1222-12-122-1222-2-1-1-12-1-1-1-11-1-12-200-1-1201000011-2000
χ132-122-1222-1-1-10-122-1-1-1-1-10222022-1-1-1-102-1-1-1000000
χ142-122-1222-1-1-10-122-1-1-1-1-102220-2-2-1-1-110-2111000000
χ1533333-1-133-1-133-1-1-1-1-1-1-13000-1110001-1-11-1-100011-1
χ1633333-1-133-1-133-1-1-1-1-1-1-13000-1-1-1000-1-11-111000-1-11
χ1733333-1-133-1-1-33-1-1-1-1-1-1-1-300011100011-11-1-1000-1-11
χ1833333-1-133-1-1-33-1-1-1-1-1-1-1-30001-1-1000-111-11100011-1
χ194-244-2444-2-2-20-244-2-2-2-2-20-2-2-2000111000000000000
χ204-2-24144-2-2-2-201-2-2-2111104-2-2000-211000000000000
χ214-2-24144-2-2-2-201-2-2-211110-24-20001-21000000000000
χ224-2-24144-2-2-2-201-2-2-211110-2-2400011-2000000000000
χ23666-262-2-2-2220-22-2-222-2-200000000000000000002-20
χ24666-262-2-2-2220-22-2-222-2-20000000000000000000-220
χ25666-26-22-2-2-2-20-2-222-2-222000002-2000200-200000000
χ26666-26-22-2-2-2-20-2-222-2-22200000-22000-200200000000
χ2766-36-3-2-2-36-2-26-311-21111-3000-200000010000000000
χ2866-36-3-2-2-36-2-2-6-311-2111130002000000-10000000000
χ296-366-3-2-26-3110-3-2-2111110000022000-10-2-111000000
χ306-366-3-2-26-3110-3-2-21111100000-2-20001021-1-1000000
χ316-36-2-3-22-211+231−2301-22-11+231−23-1-1000002-2000-10013−3000000
χ326-36-2-3-22-211+231−2301-22-11+231−23-1-100000-22000100-1−33000000
χ336-36-2-3-22-211−231+2301-22-11−231+23-1-1000002-2000-1001−33000000
χ346-36-2-3-22-211−231+2301-22-11−231+23-1-100000-22000100-13−3000000
χ351212-6-4-64-42-44402-22-4-2-2220000000000000000000000
χ361212-6-4-6-442-4-4-4022-2422-2-20000000000000000000000
χ3712-612-4-64-4-42-2-2024-42-2-2220000000000000000000000
χ3812-6-6123-4-4-6-62203222-1-1-1-10000000000000000000000
χ3912-6-6-434-422-2-20-1-22211−1+6i−1−6i0000000000000000000000
χ4012-6-6-434-422-2-20-1-22211−1−6i−1+6i0000000000000000000000
χ4112-6-6-43-44222+432−430-12-2-2−1−23−1+23110000000000000000000000
χ4212-6-6-43-44222−432+430-12-2-2−1+23−1−23110000000000000000000000

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