Finite Group Databasebeta

← Group #81094

Character table — Group #81094

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order122234444666444441212121222444444881212121212242424244444412122288
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-1
χ6111111111111-1-11-1-11111111111-1-111-1-11-1-111111-1-1-1-1-1-1-1-111
χ7111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-111
χ8111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-11-1-11111-11111-1-111-1-1
χ911111-1-11111111-1-1-1-1-11111-1-1-1-11-11-111-1-1-111-1-1111-1-11-11-11-1
χ1011111-1-11111111-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-111111-1-1-11-11-11
χ1111111-1-11111111-1-1-1-1-111-1-111111-11-111-1-1-111-1-1-1-1-1111-1-11-11
χ1211111-1-11111111-1-1-1-1-111-1-11111-11-1111-1-1-1-1-111-1-1-111-111-11-1
χ1311111-1-111111-1-1-111-1-11111-1-1-1-11-1-11-1-1-111-1-1111-1-1111-11-1-11
χ1411111-1-111111-1-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-11-1-111-11-111-1
χ1511111-1-111111-1-1-111-1-111-1-111111-1-11-1-1-111-1-111-111-1-11-1-111-1
χ1611111-1-111111-1-1-111-1-111-1-11111-111-1-1-1-11111-1-1-111-1-1-111-1-11
χ172222222-2-222200-20022-2-22222-2-2000000-2000000-20000000000
χ182222222-2-222200-20022-2-2-2-2-2-222000000-200000020000000000
χ1922222-2-2-2-222200200-2-2-2-222-2-2220000002000000-20000000000
χ2022222-2-2-2-222200200-2-2-2-2-2-222-2-2000000200000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-2-1-1-1-1-1111100000110000
χ232222-12222-1-1-1-2-22-2-2-1-1-1-100000022-2-211-111111100000-1-10000
χ242222-12222-1-1-1-2-22-2-2-1-1-1-1000000-2-22211-111-1-1-1-100000110000
χ252222-1-2-222-1-1-122-2-2-211-1-10000002-22-2-1-1111-1-11100000-110000
χ262222-1-2-222-1-1-122-2-2-211-1-1000000-22-22-1-111111-1-1000001-10000
χ272222-1-2-222-1-1-1-2-2-22211-1-10000002-2-22111-1-111-1-100000-110000
χ282222-1-2-222-1-1-1-2-2-22211-1-1000000-222-2111-1-1-1-111000001-10000
χ292-22-22002-2-22-20002i−2i00-22002i−2i2i−2i00000002i−2i000002-200000000
χ302-22-22002-2-22-20002i−2i00-2200−2i2i−2i2i00000002i−2i00000-2200000000
χ312-22-22002-2-22-2000−2i2i00-22002i−2i2i−2i0000000−2i2i00000-2200000000
χ322-22-22002-2-22-2000−2i2i00-2200−2i2i−2i2i0000000−2i2i000002-200000000
χ332-22-2200-22-22-22-2000002-2002i−2i−2i2i00002-200000000002i−2i000000
χ342-22-2200-22-22-22-2000002-200−2i2i2i−2i00002-20000000000−2i2i000000
χ352-22-2200-22-22-2-22000002-2002i−2i−2i2i0000-220000000000−2i2i000000
χ362-22-2200-22-22-2-22000002-200−2i2i2i−2i0000-2200000000002i−2i000000
χ374444-244-4-4-2-2-200-400-2-222000000000000200000000000000000
χ384444-2-4-4-4-4-2-2-2004002222000000000000-200000000000000000
χ3944-4-444-4004-4-4000004-400000000000000000000000000000000
χ4044-4-44-44004-4-400000-4400000000000000000000000000000000
χ4144-4-4-24-400-22200000-2200000000000000000i6−i6i6−i600000000000
χ4244-4-4-24-400-22200000-2200000000000000000−i6i6−i6i600000000000
χ4344-4-4-2-4400-222000002-200000000000000000i6−i6−i6i600000000000
χ4444-4-4-2-4400-222000002-200000000000000000−i6i6i6−i600000000000
χ454-44-4-2004-42-220004i−4i002-20000000000000−2i2i000000000000000
χ464-44-4-2004-42-22000−4i4i002-200000000000002i−2i000000000000000
χ474-44-4-200-442-224-400000-220000000000-22000000000000000000
χ484-44-4-200-442-22-4400000-2200000000002-2000000000000000000
χ494-4-4440000-4-440000000004-40000000000000000000000000000
χ504-4-4440000-4-44000000000-440000000000000000000000000000
χ518-8-88-4000044-4000000000000000000000000000000000000000

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