Finite Group Databasebeta

← Group #80997

Character table — Group #80997

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222223333444444444444466668888888888812121212121212121216162424
order122234444666444444444888812121212444444121212121224242424222448888121244
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111111111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-11111111111-1-1
χ911111-1-1111111111-111-1-111-1-11-1-1111-1-11-1-111-1-111-1-1-111-1-111-1-11-11-1
χ1011111-1-1111111111-111-1-1-1-1111-1-1111-1-1-11-111-1-1-1-111-111-1-1-1-111-11-11
χ1111111-1-1111111111-1-1-11111-1-11-1-1111-1-1-11-1-1-11111-1-1-1-1-11111-1-1-11-11
χ1211111-1-1111111111-1-1-111-1-1111-1-1111-1-11-1-1-1-111-1-111-1-1-111-1-1111-11-1
χ1311111-1-111111-1-1-1-1-111-1-111-1-11-1-11-1-1111-1-111-1-111-1-11-1-111-1-1111-1-11
χ1411111-1-111111-1-1-1-1-111-1-1-1-1111-1-11-1-111-11-111-1-1-1-1111-1-11111-1-1-111-1
χ1511111-1-111111-1-1-1-1-1-1-11111-1-11-1-11-1-111-11-1-1-11111-1-1111-1-1-1-111-111-1
χ1611111-1-111111-1-1-1-1-1-1-111-1-1111-1-11-1-1111-1-1-1-111-1-111111-1-111-1-11-1-11
χ172222222-2-22222222-200000000-222-2-2-22200-200000000-2000000000000
χ182222222-2-2222-2-2-2-2-200000000-222-222-2-200-2000000002000000000000
χ1922222-2-2-2-22222222200000000-2-2-2-2-2-2-2-2002000000002000000000000
χ2022222-2-2-2-2222-2-2-2-2200000000-2-2-2-2222200200000000-2000000000000
χ212222-12222-1-1-10000222222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1000000000-1-100
χ222222-12222-1-1-1000022222-2-2-2-2-1-1-1-10000-2-2-1-1-1-1-111110000000001100
χ232222-12222-1-1-100002-2-2-2-22222-1-1-1-10000-2-2-11111-1-1-1-10000000001100
χ242222-12222-1-1-100002-2-2-2-2-2-2-2-2-1-1-1-1000022-111111111000000000-1-100
χ252222-1-2-222-1-1-10000-222-2-222-2-2-111-100002-21-1-111-1-111000000000-1100
χ262222-1-2-222-1-1-10000-222-2-2-2-222-111-10000-221-1-11111-1-10000000001-100
χ272222-1-2-222-1-1-10000-2-2-22222-2-2-111-10000-22111-1-1-1-1110000000001-100
χ282222-1-2-222-1-1-10000-2-2-222-2-222-111-100002-2111-1-111-1-1000000000-1100
χ292-22-222-200-2-222i2i−2i−2i00000i2−i2i2−i202-20002i−2i0000000i2−i2i2−i2000002−22−20000
χ302-22-222-200-2-222i2i−2i−2i00000−i2i2−i2i202-20002i−2i0000000−i2i2−i2i200000−22−220000
χ312-22-222-200-2-22−2i−2i2i2i00000i2−i2i2−i202-2000−2i2i0000000i2−i2i2−i200000−22−220000
χ322-22-222-200-2-22−2i−2i2i2i00000−i2i2−i2i202-2000−2i2i0000000−i2i2−i2i2000002−22−20000
χ332-22-22-2200-2-222i2i−2i−2i00000i2−i2−i2i20-22000−2i2i0000000i2−i2−i2i2000002−2−220000
χ342-22-22-2200-2-222i2i−2i−2i00000−i2i2i2−i20-22000−2i2i0000000−i2i2i2−i200000−222−20000
χ352-22-22-2200-2-22−2i−2i2i2i00000i2−i2−i2i20-220002i−2i0000000i2−i2−i2i200000−222−20000
χ362-22-22-2200-2-22−2i−2i2i2i00000−i2i2i2−i20-220002i−2i0000000−i2i2i2−i2000002−2−220000
χ372-2-222002-22-2-22i−2i2i−2i02i−2i000000-20022i−2i000002i−2i00000002-20000000000
χ382-2-222002-22-2-22i−2i2i−2i0−2i2i000000-20022i−2i00000−2i2i0000000-220000000000
χ392-2-222002-22-2-2−2i2i−2i2i02i−2i000000-2002−2i2i000002i−2i0000000-220000000000
χ402-2-222002-22-2-2−2i2i−2i2i0−2i2i000000-2002−2i2i00000−2i2i00000002-20000000000
χ412-2-22200-222-2-22i−2i2i−2i0002-20000200-2−2i2i00000002-200000002i−2i00000000
χ422-2-22200-222-2-22i−2i2i−2i000-220000200-2−2i2i0000000-220000000−2i2i00000000
χ432-2-22200-222-2-2−2i2i−2i2i0002-20000200-22i−2i00000002-20000000−2i2i00000000
χ442-2-22200-222-2-2−2i2i−2i2i000-220000200-22i−2i0000000-2200000002i−2i00000000
χ454444-244-4-4-2-2-20000-4000000002-2-220000002000000000000000000000
χ464444-2-4-4-4-4-2-2-200004000000002222000000-2000000000000000000000
χ4744-4-440000-44-44-4-4400000000000000000000000000000000000000000
χ4844-4-440000-44-4-444-400000000000000000000000000000000000000000
χ494-44-4-24-40022-20000000002i2−2i22i2−2i20-22000000000000−i2i2−i2i20000000000000
χ504-44-4-24-40022-2000000000−2i22i2−2i22i20-22000000000000i2−i2i2−i20000000000000
χ514-44-4-2-440022-20000000002i2−2i2−2i22i202-2000000000000−i2i2i2−i20000000000000
χ524-44-4-2-440022-2000000000−2i22i22i2−2i202-2000000000000i2−i2−i2i20000000000000
χ534-4-44-2004-4-222000004i−4i000000200-20000000−2i2i0000000000000000000
χ544-4-44-2004-4-22200000−4i4i000000200-200000002i−2i0000000000000000000
χ554-4-44-200-44-22200000004-40000-2002000000000-2200000000000000000
χ564-4-44-200-44-2220000000-440000-20020000000002-200000000000000000
χ5788-8-8-400004-44000000000000000000000000000000000000000000000

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