Finite Group Databasebeta

← Group #81313

Character table — Group #81313

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order122234466624444466881212444424812121212122424242422444488612448
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111-1-1111111-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1
χ4111111111111111111-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111-1-1-1-111111111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11
χ611111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1
χ711111111111-1-1-1-1111-1-111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1
χ811111111111-1-1-1-1111-1-111-1-1-1-111-11-1-1-1-1-1-1-1-111-1-1111111-1-11
χ91111111111-111-1-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-111111-11-1-1
χ101111111111-111-1-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11-1-111
χ111111111111-111-1-1-1-1-1-1-1111111-111-111-1-1-1-111-1-1-1-111-1-1-11-111
χ121111111111-111-1-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1111111-1-111-111-1-1
χ131111111111-1-1-111-1-1-111111111-11-1-1-1-11111-1-111-1-1-1-111-11-11-1
χ141111111111-1-1-111-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-111-11
χ151111111111-1-1-111-1-1-1-1-11111111-11-1-1-111-1-11111-1-1-1-1-1-11-11-11
χ161111111111-1-1-111-1-1-1-1-111-1-1-1-11-11-1-1-111-1-111-1-11111111-1-11-1
χ1722222-2-222220000-22200-2-222-2-2000-20000000000-22000000000
χ1822222-2-222220000-22200-2-2-2-222000-200000000002-2000000000
χ1922222-2-2222-200002-2-200-2-222-2-2000200000000002-2000000000
χ2022222-2-2222-200002-2-200-2-2-2-22200020000000000-22000000000
χ212222-122-1-1-1222222-1-122-1-10000222-1-1-1-1-1-1-1-1-100000000-1-1000
χ222222-122-1-1-1222222-1-1-2-2-1-10000-2-2-2-1-1-1-1-111110000000011000
χ232222-122-1-1-12-2-2-2-22-1-122-1-10000-2-22-11111-1-1-1-10000000011000
χ242222-122-1-1-12-2-2-2-22-1-1-2-2-1-1000022-2-11111111100000000-1-1000
χ252222-122-1-1-1-222-2-2-21122-1-100002-2-21-1-111-1-11100000000-11000
χ262222-122-1-1-1-222-2-2-211-2-2-1-10000-2221-1-11111-1-1000000001-1000
χ272222-122-1-1-1-2-2-222-21122-1-10000-22-2111-1-1-1-111000000001-1000
χ282222-122-1-1-1-2-2-222-211-2-2-1-100002-22111-1-111-1-100000000-11000
χ292-22-222-22-2-20002i−2i000002-22i−2i2i−2i0000002i−2i00002-200000000000
χ302-22-222-22-2-20002i−2i000002-2−2i2i−2i2i0000002i−2i0000-2200000000000
χ312-22-222-22-2-2000−2i2i000002-22i−2i2i−2i000000−2i2i0000-2200000000000
χ322-22-222-22-2-2000−2i2i000002-2−2i2i−2i2i000000−2i2i00002-200000000000
χ332-22-22-222-2-202i−2i0000000-222i−2i−2i2i00002i−2i00000000002-20000000
χ342-22-22-222-2-202i−2i0000000-22−2i2i2i−2i00002i−2i0000000000-220000000
χ352-22-22-222-2-20−2i2i0000000-222i−2i−2i2i0000−2i2i0000000000-220000000
χ362-22-22-222-2-20−2i2i0000000-22−2i2i2i−2i0000−2i2i00000000002-20000000
χ374444-2-4-4-2-2-240000-4-2-2002200000002000000000000000000000
χ384444-2-4-4-2-2-2-4000042200220000000-2000000000000000000000
χ3944-4-4400-4-440000000000000000000000000000000000−2i22i200000
χ4044-4-4400-4-4400000000000000000000000000000000002i2−2i200000
χ414-44-4-24-4-2220004i−4i00000-220000000000−2i2i00000000000000000
χ424-44-4-24-4-222000−4i4i00000-2200000000002i−2i00000000000000000
χ434-44-4-2-44-22204i−4i00000002-200000000−2i2i0000000000000000000
χ444-44-4-2-44-2220−4i4i00000002-2000000002i−2i0000000000000000000
χ454-4-44400-44-400000000−2i22i200000000000000−2i22i2000000000000000
χ464-4-44400-44-4000000002i2−2i2000000000000002i2−2i2000000000000000
χ474-4-44-2002-22000000−2i32i3−2i22i200000000000000i2−i26−60000000000000
χ484-4-44-2002-22000000−2i32i32i2−2i200000000000000−i2i2−660000000000000
χ494-4-44-2002-220000002i3−2i3−2i22i200000000000000i2−i2−660000000000000
χ504-4-44-2002-220000002i3−2i32i2−2i200000000000000−i2i26−60000000000000
χ5188-8-8-40044-400000000000000000000000000000000000000000

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