Finite Group Databasebeta

← Group #67779

Character table — Group #67779

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size11222222244444488888881616161616162424242424242424
order1223446662488121268122424242424661212888816161616
χ1111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111-11-111-1-11-111-1-1ii−i−iii−i−i
χ6111111111-1-1-1-111-11-111-1-11-111-1-1−i−iii−i−iii
χ7111111111-1-1-1-111-11-111-1-1-11-1-111ii−i−i−i−iii
χ8111111111-1-1-1-111-11-111-1-1-11-1-111−i−iiiii−i−i
χ922222222222-2-2222-22-2-2-2-200000000000000
χ10222222222-2-22222-2-2-2-2-22200000000000000
χ112222-2-22222-200-2-220-200000000000000−i2i2−i2i2
χ122222-2-22222-200-2-220-200000000000000i2−i2i2−i2
χ132222-2-2222-2200-2-2-202000000000000002−2−22
χ142222-2-2222-2200-2-2-20200000000000000−222−2
χ15222-122-1-1-12222-1-1-12-1-1-1-1-122-1-1-1-100000000
χ16222-122-1-1-12222-1-1-12-1-1-1-1-1-2-2111100000000
χ17222-122-1-1-122-2-2-1-1-1-2-1111100−i3i3−i3i300000000
χ18222-122-1-1-122-2-2-1-1-1-2-1111100i3−i3i3−i300000000
χ19222-122-1-1-1-2-222-1-11-2111-1-100−i3i3i3−i300000000
χ20222-122-1-1-1-2-222-1-11-2111-1-100i3−i3−i3i300000000
χ21222-122-1-1-1-2-2-2-2-1-1121-1-1112-2-1-11100000000
χ22222-122-1-1-1-2-2-2-2-1-1121-1-111-2211-1-100000000
χ2322-222-22-2-2002i−2i2-2000002i−2i0000001+i−1−i1−i−1+i0000
χ2422-222-22-2-2002i−2i2-2000002i−2i000000−1−i1+i−1+i1−i0000
χ2522-222-22-2-200−2i2i2-200000−2i2i0000001−i−1+i1+i−1−i0000
χ2622-222-22-2-200−2i2i2-200000−2i2i000000−1+i1−i−1−i1+i0000
χ27444-2-4-4-2-2-24-40022-202000000000000000000
χ28444-2-4-4-2-2-2-44002220-2000000000000000000
χ2944-44-444-4-40000-44000000000000000000000
χ3044-4-24-4-222004i−4i-2200000−2i2i00000000000000
χ3144-4-24-4-22200−4i4i-22000002i−2i00000000000000
χ3244-4-2-44-22200002-2000−2i32i30000000000000000
χ3344-4-2-44-22200002-20002i3−2i30000000000000000
χ348-80800-800000000000000000000000000000
χ358-80-4004−4i34i3000000000000000000000000000
χ368-80-40044i3−4i3000000000000000000000000000

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