Finite Group Databasebeta

← Group #11772525

Character table — Group #11772525

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1122288889916161818181818181824242424363636363636363636364848484872727272
order122443612124461222488888888881616161616161616242424248888
χ1111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-111-1-1111-1-1-11-1-1-1-1ii−i−i11iiii−i−i−i−iii−i−i11-1-1
χ6111-1-111-1-1111-1-1-11-1-1-1-1ii−i−i11−i−i−i−iiiiiii−i−i-1-111
χ7111-1-111-1-1111-1-1-11-1-1-1-1−i−iii11iiii−i−i−i−i−i−iii-1-111
χ8111-1-111-1-1111-1-1-11-1-1-1-1−i−iii11−i−i−i−iiiii−i−iii11-1-1
χ911-11-111-1-1-1-1-111-11-1-111i−ii−i1-111-1-111-1-1i−ii−ii−ii−i
χ1011-11-111-1-1-1-1-111-11-1-111i−ii−i1-1-1-111-1-111i−ii−i−ii−ii
χ1111-11-111-1-1-1-1-111-11-1-111−ii−ii1-111-1-111-1-1−ii−ii−ii−ii
χ1211-11-111-1-1-1-1-111-11-1-111−ii−ii1-1-1-111-1-111−ii−iii−ii−i
χ1311-1-111111-1-1-1-1-11111-1-11-1-111-1ii−i−i−i−iii1-1-11−iii−i
χ1411-1-111111-1-1-1-1-11111-1-11-1-111-1−i−iiiii−i−i1-1-11i−i−ii
χ1511-1-111111-1-1-1-1-11111-1-1-111-11-1ii−i−i−i−iii-111-1i−i−ii
χ1611-1-111111-1-1-1-1-11111-1-1-111-11-1−i−iiiii−i−i-111-1−iii−i
χ172222222222222222-2-2-2-20000-2-20000000000000000
χ18222222222-2-222-2-2-20000000000i2−i2i2−i2i2−i2i2−i200000000
χ19222222222-2-222-2-2-20000000000−i2i2−i2i2−i2i2−i2i200000000
χ20222-2-222-2-2222-2-2-2222220000-2-20000000000000000
χ21222-2-222-2-2-2-22-222-200000000002−22−2−22−2200000000
χ22222-2-222-2-2-2-22-222-20000000000−22−222−22−200000000
χ2322-22-222-2-222-22-22-20000000000i2−i2−i2i2i2−i2−i2i200000000
χ2422-22-222-2-222-22-22-20000000000−i2i2i2−i2−i2i2i2−i200000000
χ2522-22-222-2-2-2-2-222-2222-2-20000-220000000000000000
χ2622-2-22222222-2-22-2-200000000002−2−22−222−200000000
χ2722-2-22222222-2-22-2-20000000000−222−22−2−2200000000
χ2822-2-222222-2-2-2-2-222-2-2220000-220000000000000000
χ294-40004-4004i−4i0000022−222i2−2i20000000000000000000000
χ304-40004-4004i−4i00000−2222−2i22i20000000000000000000000
χ314-40004-400−4i4i0000022−22−2i22i20000000000000000000000
χ324-40004-400−4i4i00000−22222i2−2i20000000000000000000000
χ3388888-1-1-1-100-1-1000000022220000000000-1-1-1-10000
χ3488888-1-1-1-100-1-10000000-2-2-2-2000000000011110000
χ35888-8-8-1-11100-1100000002i2i−2i−2i0000000000−i−iii0000
χ36888-8-8-1-11100-110000000−2i−2i2i2i0000000000ii−i−i0000
χ3788-88-8-1-111001-100000002i−2i2i−2i0000000000−ii−ii0000
χ3888-88-8-1-111001-10000000−2i2i−2i2i0000000000i−ii−i0000
χ3988-8-88-1-1-1-1001100000002-2-220000000000-111-10000
χ4088-8-88-1-1-1-100110000000-222-200000000001-1-110000
χ4116-16000-226i−6i000000000000000000000000000000000
χ4216-16000-22−6i6i000000000000000000000000000000000

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