Finite Group Databasebeta

← Group #11693

Character table — Group #11693

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222224444224444444444444444888888882244
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ61111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111
χ71111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ81111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ9111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ14111111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iii−i−iiiii−i−i-111-1
χ15111111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−iii−i−i−i−iii-111-1
χ16111111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222222222-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-22222-2-200000000000000000000
χ19222222-2-2-2-222-2-222-2-2-2200000000000000000000
χ20222222-2-2-2-2-2-222-2-222-2200000000000000000000
χ2122-2-22-222-2-200002i−2i2i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ2222-2-22-222-2-200002i−2i2i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ2322-2-22-222-2-20000−2i2i−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ2422-2-22-222-2-20000−2i2i−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ2522-2-22-2-2-22200002i−2i−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ2622-2-22-2-2-22200002i−2i−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ2722-2-22-2-2-2220000−2i2i2i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ2822-2-22-2-2-2220000−2i2i2i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ2922-2-2-222-22-22-22-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ3022-2-2-222-22-22-22-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ3122-2-2-222-22-2-22-22000000000000002−22−2−22−220000
χ3222-2-2-222-22-2-22-2200000000000000−22−222−22−20000
χ3322-2-2-22-22-222-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ3422-2-2-22-22-222-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ3522-2-2-22-22-22-222-2000000000000002−2−22−222−20000
χ3622-2-2-22-22-22-222-200000000000000−222−22−2−220000
χ374444-4-44-4-44000000000000000000000000000000
χ384444-4-4-444-4000000000000000000000000000000
χ398-88-8000000000000000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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