Finite Group Databasebeta

← Group #11775619

Character table — Group #11775619

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1122288889916161818181818181824242424363636363636363636364848484872727272
order1222236662266222444444444488888888121212124444
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
χ5111-1-111-1-1111-11-1-111-1-1ii−i−i1-1iiii−i−i−i−iii−i−i11-1-1
χ6111-1-111-1-1111-11-1-111-1-1ii−i−i1-1−i−i−i−iiiiiii−i−i-1-111
χ7111-1-111-1-1111-11-1-111-1-1−i−iii1-1iiii−i−i−i−i−i−iii-1-111
χ8111-1-111-1-1111-11-1-111-1-1−i−iii1-1−i−i−i−iiiii−i−iii11-1-1
χ911-11-111-1-111-11-11-1-1-1-1-1i−ii−i11ii−i−iii−i−ii−ii−i1-11-1
χ1011-11-111-1-111-11-11-1-1-1-1-1i−ii−i11−i−iii−i−iiii−ii−i-11-11
χ1111-11-111-1-111-11-11-1-1-1-1-1−ii−ii11ii−i−iii−i−i−ii−ii-11-11
χ1211-11-111-1-111-11-11-1-1-1-1-1−ii−ii11−i−iii−i−iii−ii−ii1-11-1
χ1311-1-11111111-1-1-1-11-1-1111-1-111-111-1-1-1-1111-1-111-1-11
χ1411-1-11111111-1-1-1-11-1-1111-1-111-1-1-11111-1-11-1-11-111-1
χ1511-1-11111111-1-1-1-11-1-111-111-11-111-1-1-1-111-111-1-111-1
χ1611-1-11111111-1-1-1-11-1-111-111-11-1-1-11111-1-1-111-11-1-11
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
χ20222-2-222-2-2222-22-2-2-2-2220000-220000000000000000
χ21222-2-222-2-2-2-22-2-22200000000002−22−2−22−2200000000
χ22222-2-222-2-2-2-22-2-2220000000000−22−222−22−200000000
χ2322-22-222-2-222-22-22-222220000-2-20000000000000000
χ2422-22-222-2-2-2-2-222-2200000000002−2−222−2−2200000000
χ2522-22-222-2-2-2-2-222-220000000000−222−2−222−200000000
χ2622-2-22222222-2-2-2-2222-2-20000-220000000000000000
χ2722-2-222222-2-2-2-222-20000000000i2−i2−i2i2−i2i2i2−i200000000
χ2822-2-222222-2-2-2-222-20000000000−i2i2i2−i2i2−i2−i2i200000000
χ294-40004-4004-400000004i−4i0000000000000000000000
χ304-40004-4004-40000000−4i4i0000000000000000000000
χ314-40004-400-44000004-4000000000000000000000000
χ324-40004-400-4400000-44000000000000000000000000
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
χ4116-16000-226-6000000000000000000000000000000000
χ4216-16000-22-66000000000000000000000000000000000

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