Finite Group Databasebeta

← Group #80197

Character table — Group #80197

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222444444444466888888888888812121212121212161624242424
order1222344666244466881212444448121212121224242424244448812122448
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111-1-111111-1-1-111111-1-1-1-111-1-11-1-1-1-111-1-1
χ41111111111111111-1-111-1-11-1-1-111111-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111-1-111111111-1-1-111-1-1-1-1111111-1-1111-1-1-1-1-11
χ6111111111111-1-1111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1
χ7111111111111-1-111-1-11111-111-11-1-1-1-1-1-1-1-111111-1-111-1-11-1
χ8111111111111-1-111-1-111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ91111111111-1-111-1-1111111-1-11-1-111-1-111-1-11-111-1111-11-1-1-1
χ101111111111-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-11-1-11-1-11-1-1111
χ111111111111-1-111-1-1-1-11111-11-11-111-1-1-1-1111-1-1-1-1-1-1-111-111
χ121111111111-1-111-1-1-1-111-1-1-11-11-111-1-1-1-111-1111111-11-11-1-1
χ131111111111-1-1-1-1-1-111111111-1-1-1-1-11111-1-11-1-1-1-111-11-111-1
χ141111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-11111-1-1-111-1-11
χ151111111111-1-1-1-1-1-1-1-111111-111-1-1-111-1-1111-111-1-1-11-1-11-11
χ161111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-111-1-111-11-1-11111-11-11-1
χ1722222-2-22222-2002200-2-2220000-200000000-2200-200000000
χ1822222-2-22222-2002200-2-2-2-20000-2000000002-200200000000
χ1922222-2-2222-2200-2-200-2-2220000200000000-2-200200000000
χ2022222-2-2222-2200-2-200-2-2-2-200002000000002200-200000000
χ212222-122-1-1-12222-1-122-1-1002222-1-1-1-1-1-1-1-1-10000000-1-10000
χ222222-122-1-1-12222-1-1-2-2-1-1002-2-2-2-1-1-1-1-111110000000110000
χ232222-122-1-1-122-2-2-1-122-1-100-2-2-22-11111-1-1-1-10000000110000
χ242222-122-1-1-122-2-2-1-1-2-2-1-100-222-2-1111111110000000-1-10000
χ252222-122-1-1-1-2-2221122-1-100-2-22-21-1-111-1-1110000000-110000
χ262222-122-1-1-1-2-22211-2-2-1-100-22-221-1-11111-1-100000001-10000
χ272222-122-1-1-1-2-2-2-21122-1-10022-2-2111-1-1-1-11100000001-10000
χ282222-122-1-1-1-2-2-2-211-2-2-1-1002-222111-1-111-1-10000000-110000
χ292-22-222-2-2-22002-200002-200000002-2000000002i−2i02i−2i000000
χ302-22-222-2-2-22002-200002-200000002-200000000−2i2i0−2i2i000000
χ312-22-222-2-2-2200-2200002-20000000-22000000002i−2i0−2i2i000000
χ322-22-222-2-2-2200-2200002-20000000-2200000000−2i2i02i−2i000000
χ334444-2-4-4-2-2-24-400-2-200220000002000000000000000000000
χ344444-2-4-4-2-2-2-4400220022000000-2000000000000000000000
χ3544-4-44004-4-400000022−22000000000000022−22000000000000000
χ3644-4-44004-4-4000000−22220000000000000−2222000000000000000
χ3744-4-4-200-2220000−2i32i322−220000000000000−22i6−i60000000000000
χ3844-4-4-200-2220000−2i32i3−222200000000000002−2−i6i60000000000000
χ3944-4-4-200-22200002i3−2i322−220000000000000−22−i6i60000000000000
χ4044-4-4-200-22200002i3−2i3−222200000000000002−2i6−i60000000000000
χ414-44-44-44-4-4400000000-440000000000000000000000000000
χ424-44-4-24-422-2004-40000-220000000-220000000000000000000
χ434-44-4-24-422-200-440000-2200000002-20000000000000000000
χ444-44-4-2-4422-2000000002-2000000000−2i32i300000000000000000
χ454-44-4-2-4422-2000000002-20000000002i3−2i300000000000000000
χ464-4-44400-44-400000000004i−4i00000000000000000000000000
χ474-4-44400-44-40000000000−4i4i00000000000000000000000000
χ488-8-88-4004-4400000000000000000000000000000000000000

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