Finite Group Databasebeta

← Group #80225

Character table — Group #80225

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222244444444488222244448888888881616333366661212121212121212122424
order122244442224488884436661212121266612122424242412122222444422244888844
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ51111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-1
χ61111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-11
χ71111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11
χ81111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1
χ9222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000
χ102222-2-2-2-2200000000002222-2-2-2-2200000000002222-2-2-2-220000000000
χ112-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i200
χ122-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i200
χ132-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i200
χ142-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i200
χ152-2-22002-20002-20000002-2-22002-20002-20000002-2-22002-20002-2000000
χ162-2-22002-2000-220000002-2-22002-2000-220000002-2-22002-2000-22000000
χ172-2-2200-2202-2000000002-2-2200-2202-2000000002-2-2200-2202-200000000
χ182-2-2200-220-22000000002-2-2200-220-22000000002-2-2200-220-2200000000
χ1944-4-400000000000000044-4-400000000000000044-4-4000000000000000
χ2011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ22111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ23111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ241111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-1-1-1-1-111-1-11-1-111-1-111-11
χ251111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-11-1-1-1-111-1-11-1-11111-1-11-1
χ261111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-1-1111-1
χ271111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-1-111-1-1-11
χ28222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000
χ292222-2-2-2-2200000000002222-2-2-2-220000000000-2-2-2-22222-20000000000
χ302-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i200-22-22−2i2i0000000−22−i2i200
χ312-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i200-22-22−2i2i00000002−2i2−i200
χ322-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i200-22-222i−2i0000000−22i2−i200
χ332-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i200-22-222i−2i00000002−2−i2i200
χ342-2-22002-20002-20000002-2-22002-20002-2000000-222-200-22000-22000000
χ352-2-22002-2000-220000002-2-22002-2000-22000000-222-200-220002-2000000
χ362-2-2200-2202-2000000002-2-2200-2202-200000000-222-2002-20-2200000000
χ372-2-2200-220-22000000002-2-2200-220-2200000000-222-2002-202-200000000
χ3844-4-400000000000000044-4-4000000000000000-4-444000000000000000
χ392222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000
χ402222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-11111110000000000000000000
χ41222222222-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-11111-1-1-1-1110000000000000000000
χ42222222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-111111111-1-10000000000000000000
χ432222-2-222-222-2-222-2-22-2-1-1-1-111-1-11-1-111-1-111-110000000000000000000
χ442222-2-222-222-2-2-2-222-22-1-1-1-111-1-11-1-11111-1-11-10000000000000000000
χ452222-2-222-2-2-22222-2-2-22-1-1-1-111-1-1111-1-1-1-1111-10000000000000000000
χ462222-2-222-2-2-222-2-2222-2-1-1-1-111-1-1111-1-111-1-1-110000000000000000000
χ47444444-4-4-40000000000-2-2-2-2-2-222200000000000000000000000000000
χ484444-4-4-4-440000000000-2-2-2-22222-200000000000000000000000000000
χ494-44-44i−4i000000022−222i2−2i200-22-22−2i2i0000000−22−i2i2000000000000000000000
χ504-44-44i−4i0000000−2222−2i22i200-22-22−2i2i00000002−2i2−i2000000000000000000000
χ514-44-4−4i4i000000022−22−2i22i200-22-222i−2i0000000−22i2−i2000000000000000000000
χ524-44-4−4i4i0000000−22222i2−2i200-22-222i−2i00000002−2−i2i2000000000000000000000
χ534-4-44004-40004-4000000-222-200-22000-220000000000000000000000000
χ544-4-44004-4000-44000000-222-200-220002-20000000000000000000000000
χ554-4-4400-4404-400000000-222-2002-20-22000000000000000000000000000
χ564-4-4400-440-4400000000-222-2002-202-2000000000000000000000000000
χ5788-8-8000000000000000-4-4440000000000000000000000000000000000

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