Finite Group Databasebeta

← Group #68486

Character table — Group #68486

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order122234444666488881212121244444444881224242424242424242888812124488
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-1-1-1-111-1-1111-1i−i1ii−i−iii−i−i-1ii−i−i1-11-1i−i
χ1011111-1-1-1-11111ii−i−i-1-1-1-111-1-111-11−ii1ii−i−i−i−iii-1ii−i−i-11-11−ii
χ1111111-1-1-1-11111ii−i−i-1-1-1-1-1-111-1-11-1i−i1ii−i−iii−i−i1−i−iii1-1-11−ii
χ1211111-1-1-1-11111ii−i−i-1-1-1-1-1-111-1-1-11−ii1ii−i−i−i−iii1−i−iii-111-1i−i
χ1311111-1-1-1-11111−i−iii-1-1-1-111-1-1111-1−ii1−i−iii−i−iii-1−i−iii1-11-1−ii
χ1411111-1-1-1-11111−i−iii-1-1-1-111-1-111-11i−i1−i−iiiii−i−i-1−i−iii-11-11i−i
χ1511111-1-1-1-11111−i−iii-1-1-1-1-1-111-1-11-1−ii1−i−iii−i−iii1ii−i−i1-1-11i−i
χ1611111-1-1-1-11111−i−iii-1-1-1-1-1-111-1-1-11i−i1−i−iiiii−i−i1ii−i−i-111-1−ii
χ17222222-22-2222-200002-22-222-2-2-2-20000-20000000020000000000
χ18222222-22-2222-200002-22-2-2-222220000-200000000-20000000000
χ1922222-22-22222-20000-22-222222-2-20000-200000000-20000000000
χ2022222-22-22222-20000-22-22-2-2-2-2220000-20000000020000000000
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
χ292-2-222020-22-2-20−i2i2−i2i20-2022i−2i2i−2i0000000−i2i2−i2i2000002−22−2000000
χ302-2-222020-22-2-20−i2i2−i2i20-202−2i2i−2i2i0000000−i2i2−i2i200000−22−22000000
χ312-2-222020-22-2-20i2−i2i2−i20-2022i−2i2i−2i0000000i2−i2i2−i200000−22−22000000
χ322-2-222020-22-2-20i2−i2i2−i20-202−2i2i−2i2i0000000i2−i2i2−i2000002−22−2000000
χ332-2-2220-2022-2-202−2−22020-22i−2i−2i2i00000002−2−2200000i2−i2−i2i2000000
χ342-2-2220-2022-2-202−2−22020-2−2i2i2i−2i00000002−2−2200000−i2i2i2−i2000000
χ352-2-2220-2022-2-20−222−2020-22i−2i−2i2i0000000−222−200000−i2i2i2−i2000000
χ362-2-2220-2022-2-20−222−2020-2−2i2i2i−2i0000000−222−200000i2−i2−i2i2000000
χ374444-24-44-4-2-2-2-40000-22-22000000000020000000000000000000
χ384444-2-44-44-2-2-2-400002-22-2000000000020000000000000000000
χ3944-4-4440-40-44-400000-4040000000000000000000000000000000
χ4044-4-44-4040-44-40000040-40000000000000000000000000000000
χ4144-4-4-240-402-220000020-200000000000000006−66−600000000000
χ4244-4-4-240-402-220000020-20000000000000000−66−6600000000000
χ4344-4-4-2-40402-2200000-2020000000000000000i6−i6−i6i600000000000
χ4444-4-4-2-40402-2200000-2020000000000000000−i6i6i6−i600000000000
χ454-44-440000-4-4400000000000004i−4i000000000000000000000000
χ464-44-440000-4-440000000000000−4i4i000000000000000000000000
χ474-4-44-2040-4-2220−2i22i2−2i22i2020-200000000000i2−i2i2−i2000000000000000
χ484-4-44-2040-4-22202i2−2i22i2−2i2020-200000000000−i2i2−i2i2000000000000000
χ494-4-44-20-404-222022−22−22220-20200000000000−222−2000000000000000
χ504-4-44-20-404-2220−222222−220-202000000000002−2−22000000000000000
χ518-88-8-4000044-4000000000000000000000000000000000000000

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