Finite Group Databasebeta

← Group #80951

Character table — Group #80951

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order1222344446662244412121212444444446688121212242424242444412122288
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1111-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-1
χ6111111111111-1-11-1-11111111111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111
χ7111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-111
χ8111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-11111-1-111-1-1
χ911111-1-11111111-1-1-11-1-111111-1-11-1111-1-1-1-111-1-1-111-1-11-11-11-1
χ1011111-1-11111111-1-1-11-1-111111-1-1-1111-11-1-1-1-1-111-111-1-1-11-11-11
χ1111111-1-11111111-1-1-11-1-11-1-1-1-1111-1111-1-1-1-111-1-11-1-1111-1-11-11
χ1211111-1-11111111-1-1-11-1-11-1-1-1-111-1111-11-1-1-1-1-1111-1-111-111-11-1
χ1311111-1-111111-1-1-1111-1-111111-1-11-1-1-1-11-111-1-111-1-1-1111-11-1-11
χ1411111-1-111111-1-1-1111-1-111111-1-1-11-1-11-1-11111-1-1-1-1-111-11-111-1
χ1511111-1-111111-1-1-1111-1-11-1-1-1-1111-1-1-1-11-111-1-111111-1-11-1-111-1
χ1611111-1-111111-1-1-1111-1-11-1-1-1-111-11-1-11-1-11111-1-1111-1-1-111-1-11
χ172222222-2-222200-200-222-222-2-222000000-2000000-20000000000
χ182222222-2-222200-200-222-2-2-222-2-2000000-200000020000000000
χ1922222-2-2-2-222200200-2-2-2-222-2-2-2-2000000200000020000000000
χ2022222-2-2-2-222200200-2-2-2-2-2-222220000002000000-20000000000
χ212222-12222-1-1-122222-1-1-1-100000022-1-122-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-1-1-2-2-1-1-1111100000110000
χ232222-12222-1-1-1-2-22-2-2-1-1-1-10000002211-2-2-111111100000-1-10000
χ242222-12222-1-1-1-2-22-2-2-1-1-1-1000000-2-21122-111-1-1-1-100000110000
χ252222-1-2-222-1-1-122-2-2-2-111-10000002-2-1-12-2111-1-11100000-110000
χ262222-1-2-222-1-1-122-2-2-2-111-1000000-22-1-1-2211111-1-1000001-10000
χ272222-1-2-222-1-1-1-2-2-222-111-10000002-211-221-1-111-1-100000-110000
χ282222-1-2-222-1-1-1-2-2-222-111-1000000-22112-21-1-1-1-111000001-10000
χ2922-2-22002-22-2-20002i−2i-20022i−2i2i−2i0000000002i−2i00000002-2000000
χ3022-2-22002-22-2-20002i−2i-2002−2i2i−2i2i0000000002i−2i0000000-22000000
χ3122-2-22002-22-2-2000−2i2i-20022i−2i2i−2i000000000−2i2i0000000-22000000
χ3222-2-22002-22-2-2000−2i2i-2002−2i2i−2i2i000000000−2i2i00000002-2000000
χ3322-2-2200-222-2-22-2000200-22i−2i−2i2i00002-200000000002i−2i00000000
χ3422-2-2200-222-2-22-2000200-2−2i2i2i−2i00002-20000000000−2i2i00000000
χ3522-2-2200-222-2-2-22000200-22i−2i−2i2i0000-220000000000−2i2i00000000
χ3622-2-2200-222-2-2-22000200-2−2i2i2i−2i0000-2200000000002i−2i00000000
χ374444-244-4-4-2-2-200-4002-2-22000000000000200000000000000000
χ384444-2-4-4-4-4-2-2-2004002222000000000000-200000000000000000
χ3944-4-4-2004-4-2220004i−4i200-20000000000000−2i2i000000000000000
χ4044-4-4-2004-4-222000−4i4i200-200000000000002i−2i000000000000000
χ4144-4-4-200-44-2224-4000-200200000000-2200000000000000000000
χ4244-4-4-200-44-222-44000-2002000000002-200000000000000000000
χ434-44-440000-44-400000000000004i−4i000000000000000000000000
χ444-44-440000-44-40000000000000−4i4i000000000000000000000000
χ454-4-4444-400-4-440000004-40000000000000000000000000000000
χ464-4-444-4400-4-44000000-440000000000000000000000000000000
χ474-4-44-24-40022-2000000-220000000000000000i6−i6i6−i600000000000
χ484-4-44-24-40022-2000000-220000000000000000−i6i6−i6i600000000000
χ494-4-44-2-440022-20000002-20000000000000000i6−i6−i6i600000000000
χ504-4-44-2-440022-20000002-20000000000000000−i6i6i6−i600000000000
χ518-88-8-400004-44000000000000000000000000000000000000000

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