Finite Group Databasebeta

← Group #81237

Character table — Group #81237

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order122234444666488881212121222444444441212121212242424244888812122444
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111111111-1-111111-1-1-1-11-1-1-1-1-1-11-11-1
χ61111111111111-1-1-1-11111111111-1-111-1-11-1-1-1-1-1-11-1-1-1-111-11-11
χ71111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-1-11111-1-1-11-11
χ81111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111111-11-1
χ911111-1-111111-111-1-11-1-1111-1-1-1-11-11-111-1-1-111-1-1111-1-1-11-111-1
χ1011111-1-111111-111-1-11-1-1111-1-1-1-1-11-11-1-1-11111-1-1111-1-11-11-1-11
χ1111111-1-111111-111-1-11-1-11-1-111111-11-111-1-1-111-1-1-1-1-111-111-1-11
χ1211111-1-111111-111-1-11-1-11-1-11111-11-11-1-1-11111-1-1-1-1-1111-1-111-1
χ1311111-1-111111-1-1-1111-1-1111-1-1-1-11-1-1111-1-1-1-1-1111-1-1111-1-1-111
χ1411111-1-111111-1-1-1111-1-1111-1-1-1-1-111-1-1-1-111-1-1111-1-111-1111-1-1
χ1511111-1-111111-1-1-1111-1-11-1-111111-1-1111-1-1-1-1-111-111-1-11-111-1-1
χ1611111-1-111111-1-1-1111-1-11-1-11111-111-1-1-1-111-1-111-111-1-1-11-1-111
χ172222222-2-2222-20000-222-222-2-222000000-2000000-20000000000
χ182222222-2-2222-20000-222-2-2-222-2-2000000-200000020000000000
χ1922222-2-2-2-222220000-2-2-2-22222-2-20000002000000-20000000000
χ2022222-2-2-2-222220000-2-2-2-2-2-2-2-222000000200000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-211-111-1-1-1-100000110000
χ232222-12222-1-1-12-2-2-2-2-1-1-1-100000022-2-2-1-1-1-1-1111100000110000
χ242222-12222-1-1-12-2-2-2-2-1-1-1-1000000-2-22211-111111100000-1-10000
χ252222-1-2-222-1-1-1-222-2-2-111-10000002-22-2-1-1111-1-111000001-10000
χ262222-1-2-222-1-1-1-222-2-2-111-1000000-22-22111-1-1-1-11100000-110000
χ272222-1-2-222-1-1-1-2-2-222-111-10000002-2-22-1-111111-1-100000-110000
χ282222-1-2-222-1-1-1-2-2-222-111-1000000-222-2111-1-111-1-1000001-10000
χ292-22-222i−2i00-2-220−i2i22−202i−2i02-2002i−2i000000000−i2i22−20−i2i22−2000000
χ302-22-222i−2i00-2-220−i2i22−202i−2i0-2200−2i2i000000000−i2i22−20i2−i2−22000000
χ312-22-222i−2i00-2-220i2−i2−2202i−2i02-2002i−2i000000000i2−i2−220i2−i2−22000000
χ322-22-222i−2i00-2-220i2−i2−2202i−2i0-2200−2i2i000000000i2−i2−220−i2i22−2000000
χ332-22-22−2i2i00-2-220−i2i2−220−2i2i02-200−2i2i000000000−i2i2−220−i2i2−22000000
χ342-22-22−2i2i00-2-220−i2i2−220−2i2i0-22002i−2i000000000−i2i2−220i2−i22−2000000
χ352-22-22−2i2i00-2-220i2−i22−20−2i2i02-200−2i2i000000000i2−i22−20i2−i22−2000000
χ362-22-22−2i2i00-2-220i2−i22−20−2i2i0-22002i−2i000000000i2−i22−20−i2i2−22000000
χ374444-244-4-4-2-2-2-400002-2-22000000000000200000000000000000
χ384444-2-4-4-4-4-2-2-2400002222000000000000-200000000000000000
χ3944-4-44004-44-4-400000-4004000000000000000000000000000000
χ4044-4-4400-444-4-400000400-4000000000000000000000000000000
χ4144-4-4-2004-4-22200000200-2000000000000023−23000000000000000
χ4244-4-4-2004-4-22200000200-20000000000000−2323000000000000000
χ4344-4-4-200-44-22200000-20020000000000−2i32i3000000000000000000
χ4444-4-4-200-44-22200000-200200000000002i3−2i3000000000000000000
χ454-44-4-24i−4i0022-20−2i22i222−220−2i2i0000000000000000i2−i2−2200000000000
χ464-44-4-24i−4i0022-202i2−2i2−22220−2i2i0000000000000000−i2i22−200000000000
χ474-44-4-2−4i4i0022-20−2i22i2−222202i−2i0000000000000000i2−i22−200000000000
χ484-44-4-2−4i4i0022-202i2−2i222−2202i−2i0000000000000000−i2i2−2200000000000
χ494-4-4440000-44-4000000000004i−4i00000000000000000000000000
χ504-4-4440000-44-400000000000−4i4i00000000000000000000000000
χ518-8-88-400004-44000000000000000000000000000000000000000

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