Finite Group Databasebeta

← Group #10698439

Character table — Group #10698439

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444488888816161616161616161616161616161616161624242424484848484848
order122222366666662222226666664444441212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ611111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ811111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9222222222222222-2-22-2-222-2-2-2-200002-20000000022-2-20000000000
χ10222222222222222-2-22-2-222-2-2-2-20000-2200000000-2-2220000000000
χ1122222222222222-22-2-22-2-2-222-2-2002-200000022-2-200000000000000
χ1222222222222222-22-2-22-2-2-222-2-200-22000000-2-22200000000000000
χ1322222222222222-2-22-2-22-2-2-2-2222-2000022-2-2000000000000000000
χ1422222222222222-2-22-2-22-2-2-2-222-220000-2-222000000000000000000
χ15222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ16222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000
χ17222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000
χ18222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000
χ19222222-1-1-1-1-1-1-1-12-2-22-2-2-1-1111100002-2−i3i3−i3i3−i3i3−i3i3-1-1110000000000
χ20222222-1-1-1-1-1-1-1-12-2-22-2-2-1-1111100002-2i3−i3i3−i3i3−i3i3−i3-1-1110000000000
χ21222222-1-1-1-1-1-1-1-12-2-22-2-2-1-111110000-22−i3i3−i3i3i3−i3i3−i311-1-10000000000
χ22222222-1-1-1-1-1-1-1-12-2-22-2-2-1-111110000-22i3−i3i3−i3−i3i3−i3i311-1-10000000000
χ23222222-1-1-1-1-1-1-1-1-22-2-22-211-1-111002-200−i3i3i3−i3-1-111−i3i3−i3i30000000000
χ24222222-1-1-1-1-1-1-1-1-22-2-22-211-1-111002-200i3−i3−i3i3-1-111i3−i3i3−i30000000000
χ25222222-1-1-1-1-1-1-1-1-22-2-22-211-1-11100-2200−i3i3i3−i311-1-1i3−i3i3−i30000000000
χ26222222-1-1-1-1-1-1-1-1-22-2-22-211-1-11100-2200i3−i3−i3i311-1-1−i3i3−i3i30000000000
χ27222222-1-1-1-1-1-1-1-1-2-22-2-221111-1-12-20000-1-111−i3i3i3−i3−i3i3i3−i30000000000
χ28222222-1-1-1-1-1-1-1-1-2-22-2-221111-1-12-20000-1-111i3−i3−i3i3i3−i3−i3i30000000000
χ29222222-1-1-1-1-1-1-1-1-2-22-2-221111-1-1-22000011-1-1−i3i3i3−i3i3−i3−i3i30000000000
χ30222222-1-1-1-1-1-1-1-1-2-22-2-221111-1-1-22000011-1-1i3−i3−i3i3−i3i3i3−i30000000000
χ312222-2-22222-2-2-2-2222-2-2-22-22-22-200000000000000000022-2-2000000
χ322222-2-22222-2-2-2-2222-2-2-22-22-22-2000000000000000000-2-222000000
χ332222-2-22222-2-2-2-22-2-2-2222-2-22-22000000000000000000000000002i−2i
χ342222-2-22222-2-2-2-22-2-2-2222-2-22-2200000000000000000000000000−2i2i
χ352222-2-22222-2-2-2-2-22-22-22-222-2-220000000000000000000000002i−2i00
χ362222-2-22222-2-2-2-2-22-22-22-222-2-22000000000000000000000000−2i2i00
χ372222-2-22222-2-2-2-2-2-2222-2-22-222-200000000000000000000002i−2i0000
χ382222-2-22222-2-2-2-2-2-2222-2-22-222-20000000000000000000000−2i2i0000
χ394444-4-4-2-2-2-22222444-4-4-4-22-22-220000000000000000000000000000
χ404444-4-4-2-2-2-222224-4-4-444-222-22-20000000000000000000000000000
χ414444-4-4-2-2-2-22222-44-44-442-2-222-20000000000000000000000000000
χ424444-4-4-2-2-2-22222-4-4444-42-22-2-220000000000000000000000000000
χ4344-4-44-444-4-444-4-40000000000000000000000000000002i−2i2i−2i000000
χ4444-4-44-444-4-444-4-4000000000000000000000000000000−2i2i−2i2i000000
χ4544-4-4-4444-4-4-4-4440000000000000000000000000000002i−2i−2i2i000000
χ4644-4-4-4444-4-4-4-444000000000000000000000000000000−2i2i2i−2i000000
χ4788-8-88-8-4-444-4-4440000000000000000000000000000000000000000
χ4888-8-8-88-4-44444-4-40000000000000000000000000000000000000000
χ498-88-8008-88-800000000000000000000000000000000000000000000
χ508-88-800-44-44−4i34i3−4i34i30000000000000000000000000000000000000000
χ518-88-800-44-444i3−4i34i3−4i30000000000000000000000000000000000000000
χ528-8-88008-8-8800000000000000000000000000000000000000000000
χ538-8-8800-444-4−4i34i34i3−4i30000000000000000000000000000000000000000
χ548-8-8800-444-44i3−4i3−4i34i30000000000000000000000000000000000000000

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