Finite Group Databasebeta

← Group #68484

Character table — Group #68484

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order122234444666488881212121222444444881224242424242424244888812124488
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-11111-1-1
χ61111111111111-1-1-1-11111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111
χ71111111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-111
χ81111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-111-1-1
χ911111-1-1-1-11111ii−i−i-1-1-1-111-1-1-1-11-1i−i1ii−i−iii−i−i1ii−i−i1-11-1i−i
χ1011111-1-1-1-11111ii−i−i-1-1-1-111-1-1-1-1-11−ii1ii−i−i−i−iii1ii−i−i-11-11−ii
χ1111111-1-1-1-11111ii−i−i-1-1-1-1-1-111111-1i−i1ii−i−iii−i−i-1−i−iii1-1-11−ii
χ1211111-1-1-1-11111ii−i−i-1-1-1-1-1-11111-11−ii1ii−i−i−i−iii-1−i−iii-111-1i−i
χ1311111-1-1-1-11111−i−iii-1-1-1-111-1-1-1-11-1−ii1−i−iii−i−iii1−i−iii1-11-1−ii
χ1411111-1-1-1-11111−i−iii-1-1-1-111-1-1-1-1-11i−i1−i−iiiii−i−i1−i−iii-11-11i−i
χ1511111-1-1-1-11111−i−iii-1-1-1-1-1-111111-1−ii1−i−iii−i−iii-1ii−i−i1-1-11i−i
χ1611111-1-1-1-11111−i−iii-1-1-1-1-1-11111-11i−i1−i−iiiii−i−i-1ii−i−i-111-1−ii
χ17222222-22-2222-200002-22-22222-2-20000-200000000-20000000000
χ18222222-22-2222-200002-22-2-2-2-2-2220000-20000000020000000000
χ1922222-22-22222-20000-22-2222-2-2220000-200000000-20000000000
χ2022222-22-22222-20000-22-22-2-222-2-20000-20000000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-2-1-1-1-1-1111100000110000
χ232222-12222-1-1-12-2-2-2-2-1-1-1-100000022-2-2-11111111100000-1-10000
χ242222-12222-1-1-12-2-2-2-2-1-1-1-1000000-2-222-11111-1-1-1-100000110000
χ252222-1-2-2-2-2-1-1-122i2i−2i−2i11110000002-22i−2i-1−i−iii−i−iii00000-110000
χ262222-1-2-2-2-2-1-1-122i2i−2i−2i1111000000-22−2i2i-1−i−iiiii−i−i000001-10000
χ272222-1-2-2-2-2-1-1-12−2i−2i2i2i11110000002-2−2i2i-1ii−i−iii−i−i00000-110000
χ282222-1-2-2-2-2-1-1-12−2i−2i2i2i1111000000-222i−2i-1ii−i−i−i−iii000001-10000
χ2922-2-2220-202-2-202−22−220-202-22-200000002−22−2000002−22−2000000
χ3022-2-2220-202-2-202−22−220-20-22-2200000002−22−200000−22−22000000
χ3122-2-2220-202-2-20−22−2220-202-22-20000000−22−2200000−22−22000000
χ3222-2-2220-202-2-20−22−2220-20-22-220000000−22−22000002−22−2000000
χ3322-2-22-20202-2-20−i2i2i2−i2-20202-2-220000000−i2i2i2−i200000−i2i2i2−i2000000
χ3422-2-22-20202-2-20−i2i2i2−i2-2020-222-20000000−i2i2i2−i200000i2−i2−i2i2000000
χ3522-2-22-20202-2-20i2−i2−i2i2-20202-2-220000000i2−i2−i2i200000i2−i2−i2i2000000
χ3622-2-22-20202-2-20i2−i2−i2i2-2020-222-20000000i2−i2−i2i200000−i2i2i2−i2000000
χ374444-24-44-4-2-2-2-40000-22-22000000000020000000000000000000
χ384444-2-44-44-2-2-2-400002-22-2000000000020000000000000000000
χ3944-4-4-240-40-222022−2222−22-202000000000000−22−22000000000000000
χ4044-4-4-240-40-2220−2222−2222-2020000000000002−22−2000000000000000
χ4144-4-4-2-4040-2220−2i22i22i2−2i220-2000000000000i2−i2−i2i2000000000000000
χ4244-4-4-2-4040-22202i2−2i2−2i22i220-2000000000000−i2i2i2−i2000000000000000
χ434-44-440000-4-4400000000000004i−4i000000000000000000000000
χ444-44-440000-4-440000000000000−4i4i000000000000000000000000
χ454-4-444040-4-44-400000040-4000000000000000000000000000000
χ464-4-4440-404-44-4000000-404000000000000000000000000000000
χ474-4-44-2040-42-22000000-202000000000000000i6−i6i6−i600000000000
χ484-4-44-2040-42-22000000-202000000000000000−i6i6−i6i600000000000
χ494-4-44-20-4042-2200000020-20000000000000006−6−6600000000000
χ504-4-44-20-4042-2200000020-2000000000000000−666−600000000000
χ518-88-8-4000044-4000000000000000000000000000000000000000

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