Finite Group Databasebeta

← Group #80296

Character table — Group #80296

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1122222444444444666688888888888812121212121216161624242424
order122344622444461212888824666688121212122244881224242488
χ1111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1
χ311111111111-1-111111-1-11-11111-1-111-1-11-11-11-1-1-1-11-11-1
χ411111111111-1-1111-1-1111-11111-1-111-1-1-11-11-11-1-1-1-11-11
χ511111111-11-1111111111-1-11-1-1-11-11-1111-11-111-11-1-1-1-11
χ611111111-11-111111-1-1-1-1-1-11-1-1-11-11-111-11-11-1-1-11-1111-1
χ711111111-11-1-1-111111-1-1-111-1-1-1-111-1-1-111111-11-11-11-1-1
χ811111111-11-1-1-1111-1-111-111-1-1-1-111-1-1-1-1-1-1-1-111-111-111
χ91111111-11-11111111111-1-1-11-1-1-11-1111-11-1111-1-11-1-11-1
χ101111111-11-1111111-1-1-1-1-1-1-11-1-1-11-11111-11-1-1-1-1-1111-11
χ111111111-11-11-1-111111-1-1-11-11-1-11-1-11-1-1-1-1-1-11-111-1-1111
χ121111111-11-11-1-1111-1-111-11-11-1-11-1-11-1-11111-1111-11-1-1-1
χ131111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1111-1-111-1-1
χ141111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-1-111
χ151111111-1-1-1-1-1-111111-1-11-1-1-11111-1-1-1-1-11-111-1-1111-1-11
χ161111111-1-1-1-1-1-1111-1-1111-1-1-11111-1-1-1-11-11-1-11-111-111-1
χ17222-122-1222222-1-1-1000022-1-1-1-122-1-1-1-1000000-1-1-10000
χ18222-122-12222-2-2-1-1-100002-2-1-1-1-1-2-2-1-1110000001110000
χ19222-122-12-22-222-1-1-10000-2-2-11112-2-11-1-10000001-110000
χ20222-122-12-22-2-2-2-1-1-10000-22-1111-22-1111000000-11-10000
χ21222-122-1-22-2222-1-1-10000-2-21-111-221-1-1-100000011-10000
χ22222-122-1-22-22-2-2-1-1-10000-221-1112-21-111000000-1-110000
χ23222-122-1-2-2-2-222-1-1-100002211-1-1-2-211-1-1000000-1110000
χ24222-122-1-2-2-2-2-2-2-1-1-100002-211-1-12211110000001-1-10000
χ2522-222-22020-200-22-20022000200000-2000-2020-20000000
χ2622-222-22020-200-22-200-2-2000200000-200020-2020000000
χ2722-222-220-20200-22-20022000-200000200020-20-20000000
χ2822-222-220-20200-22-200-2-2000-2000002000-202020000000
χ2922-22-22220-2000-2-22220000200000-200020-20-200000000
χ3022-22-22220-2000-2-22-2-20000200000-2000-2020200000000
χ3122-22-222-202000-2-22220000-2000002000-2020-200000000
χ3222-22-222-202000-2-22-2-20000-200000200020-20200000000
χ334444-4-440000004-4-400000000000000000000000000000
χ34444-2-4-4-2000000-22200000000−2i32i30000000000000000000
χ35444-2-4-4-2000000-222000000002i3−2i30000000000000000000
χ3644-4-24-4-2040-4002-220000000-2000002000000000000000
χ3744-4-24-4-20-404002-220000000200000-2000000000000000
χ3844-4-2-44-240-400022-2000000-20000020000000000000000
χ3944-4-2-44-2-40400022-2000000200000-20000000000000000
χ404-40400-400002i−2i00022−22−2i22i200000000002i−2i0000000000000
χ414-40400-400002i−2i000−22222i2−2i200000000002i−2i0000000000000
χ424-40400-40000−2i2i00022−222i2−2i20000000000−2i2i0000000000000
χ434-40400-40000−2i2i000−2222−2i22i20000000000−2i2i0000000000000
χ448-80-400400004i−4i00000000000000000−2i2i0000000000000
χ458-80-40040000−4i4i000000000000000002i−2i0000000000000

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