Finite Group Databasebeta

← Group #70928

Character table — Group #70928

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222244444444444488888888888888882424242424242424
order122344612124468888122424242424668812121212242424242424444416161616
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111-1-11-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1
χ6111111111-1-11-1-1111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111
χ7111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ8111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ911-111-11-1-1i−i-1i−i1-11ii−i−i1-111i−i-1-1i−iii−i−i1-11-1i−i1-1i−i
χ1011-111-11-1-1i−i-1i−i1-11ii−i−i1-111i−i-1-1i−iii−i−i1-1-11−ii-11−ii
χ1111-111-11-1-1i−i-1i−i1-11ii−i−i-11-1-1−ii11i−i−i−iii1-11-1i−i-11−ii
χ1211-111-11-1-1i−i-1i−i1-11ii−i−i-11-1-1−ii11i−i−i−iii1-1-11−ii1-1i−i
χ1311-111-11-1-1−ii-1−ii1-11−i−iii1-111−ii-1-1−ii−i−iii1-11-1−ii1-1−ii
χ1411-111-11-1-1−ii-1−ii1-11−i−iii1-111−ii-1-1−ii−i−iii1-1-11i−i-11i−i
χ1511-111-11-1-1−ii-1−ii1-11−i−iii-11-1-1i−i11−iiii−i−i1-11-1−ii-11i−i
χ1611-111-11-1-1−ii-1−ii1-11−i−iii-11-1-1i−i11−iiii−i−i1-1-11i−i1-1−ii
χ17222222222222-2-2-2-22-2-2-2-200000000220000-2-200000000
χ18222222222-2-2222-2-22222200000000-2-20000-2-200000000
χ19222-122-1-1-122-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000
χ20222-122-1-1-122-12222-1-1-1-1-1-2-211-2-211-1-11111-1-100000000
χ21222-122-1-1-122-1-2-2-2-2-1111100−i3i300−i3i3-1-1−i3i3−i3i31100000000
χ22222-122-1-1-122-1-2-2-2-2-1111100i3−i300i3−i3-1-1i3−i3i3−i31100000000
χ23222-122-1-1-1-2-2-122-2-2-1-1-1-1-100−i3i300−i3i311i3−i3i3−i31100000000
χ24222-122-1-1-1-2-2-122-2-2-1-1-1-1-100i3−i300i3−i311−i3i3−i3i31100000000
χ25222-122-1-1-1-2-2-1-2-222-1111122-1-1-2-2-1-1111111-1-100000000
χ26222-122-1-1-1-2-2-1-2-222-11111-2-211221111-1-1-1-1-1-100000000
χ2722-222-22-2-22i−2i-2−2i2i-222−2i−2i2i2i000000002i−2i0000-2200000000
χ2822-222-22-2-2−2i2i-22i−2i-2222i2i−2i−2i00000000−2i2i0000-2200000000
χ2922-2-12-2-1112i−2i12i−2i2-2-1−i−iii2-2-1-12i−2i11−ii−i−iii-1100000000
χ3022-2-12-2-1112i−2i12i−2i2-2-1−i−iii-2211−2i2i-1-1−iiii−i−i-1100000000
χ3122-2-12-2-1112i−2i1−2i2i-22-1ii−i−i00−i3i300i3−i3−ii3−3−331-100000000
χ3222-2-12-2-1112i−2i1−2i2i-22-1ii−i−i00i3−i300−i3i3−ii−333−31-100000000
χ3322-2-12-2-111−2i2i12i−2i-22-1−i−iii00−i3i300i3−i3i−i−333−31-100000000
χ3422-2-12-2-111−2i2i12i−2i-22-1−i−iii00i3−i300−i3i3i−i3−3−331-100000000
χ3522-2-12-2-111−2i2i1−2i2i2-2-1ii−i−i2-2-1-1−2i2i11i−iii−i−i-1100000000
χ3622-2-12-2-111−2i2i1−2i2i2-2-1ii−i−i-22112i−2i-1-1i−i−i−iii-1100000000
χ374444-4-44-4-40040000-40000000000000000000000000000
χ38444-2-4-4-22200-20000223−2323−23000000000000000000000000
χ39444-2-4-4-22200-200002−2323−2323000000000000000000000000
χ4044-44-4444400-40000-40000000000000000000000000000
χ4144-4-2-44-2-2-200200002−2i32i32i3−2i3000000000000000000000000
χ4244-4-2-44-2-2-2002000022i3−2i3−2i32i3000000000000000000000000
χ438-80800-800000000000000000000000000000000000000
χ448-80-400443−43000000000000000000000000000000000000
χ458-80-4004−4343000000000000000000000000000000000000

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