Finite Group Databasebeta

← Group #4802

Character table — Group #4802

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size111122222244444444444466668888121212121212
order1222344666444488121224242424224412121212444488
χ1111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1
χ61111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ91-1-1111-1-1-11i−i1-1i−i1-1ii−i−i1-11-1i−i1-1i−i1-1i−i
χ101-1-1111-1-1-11i−i1-1i−i1-1ii−i−i-11-11i−i1-1−ii-11−ii
χ111-1-1111-1-1-11i−i-11−ii1-1−i−iii1-11-1i−i-11i−i-11−ii
χ121-1-1111-1-1-11i−i-11−ii1-1−i−iii-11-11i−i-11−ii1-1i−i
χ131-1-1111-1-1-11−ii1-1−ii1-1−i−iii1-11-1−ii1-1−ii1-1−ii
χ141-1-1111-1-1-11−ii1-1−ii1-1−i−iii-11-11−ii1-1i−i-11i−i
χ151-1-1111-1-1-11−ii-11i−i1-1ii−i−i1-11-1−ii-11−ii-11i−i
χ161-1-1111-1-1-11−ii-11i−i1-1ii−i−i-11-11−ii-11i−i1-1−ii
χ1722222-2-2222000000-2-2000022-2-20000000000
χ1822222-2-2222000000-2-20000-2-2220000000000
χ192222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000
χ202222-122-1-1-122-2-2-2-2-1-111110000-1-111000000
χ212222-122-1-1-1-2-222-2-2-1-11111000011-1-1000000
χ222222-122-1-1-1-2-2-2-222-1-1-1-1-1-100001111000000
χ232-2-222-22-2-22000000-2200002-2-220000000000
χ242-2-222-22-2-22000000-220000-222-20000000000
χ252-2-22-12-211-12i−2i2-22i−2i-11−i−iii0000−ii-11000000
χ262-2-22-12-211-12i−2i-22−2i2i-11ii−i−i0000−ii1-1000000
χ272-2-22-12-211-1−2i2i2-2−2i2i-11ii−i−i0000i−i-11000000
χ282-2-22-12-211-1−2i2i-222i−2i-11−i−iii0000i−i1-1000000
χ294444-2-4-4-2-2-200000022000000000000000000
χ3044-4-4400-44-400000000000000000000000000
χ3144-4-4-2002-22000000006−66−600000000000000
χ3244-4-4-2002-2200000000−66−6600000000000000
χ334-44-44004-4-400000000000000000000000000
χ344-44-4-200-22200000000i6−i6−i6i600000000000000
χ354-44-4-200-22200000000−i6i6i6−i600000000000000
χ364-4-44-2-4422-20000002-2000000000000000000

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