Finite Group Databasebeta

← Group #10695841

Character table — Group #10695841

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444488888816161616161616161616161616161616161624242424484848484848
order12222236666666224444661212121224444466121212121212121212124444448888
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ611111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ92222222222222222-2-2-2-222-2-2-2-200002-20022-2-20000000000000000
χ102222222222222222-2-2-2-222-2-2-2-20000-2200-2-2220000000000000000
χ1122222222222222-2-22-22-2-2-222-2-2020-2000000000022-2-20000000000
χ1222222222222222-2-22-22-2-2-222-2-20-2020000000000-2-2220000000000
χ1322222222222222-2-2-22-22-2-2-2-22220-2000220000-2-200000000000000
χ1422222222222222-2-2-22-22-2-2-2-222-202000-2-200002200000000000000
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
χ16222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12-22-2-2-2-1-11111-1-111110000000000
χ17222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-22-22-2-211111111-1-1-1-10000000000
χ18222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2-2-22211-1-1-1-11111110000000000
χ19222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1111100002-2−i3i3-1-111−i3i3−i3i3−i3i30000000000
χ20222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1111100002-2i3−i3-1-111i3−i3i3−i3i3−i30000000000
χ21222222-1-1-1-1-1-1-1-122-2-2-2-2-1-111110000-22−i3i311-1-1−i3i3i3−i3i3−i30000000000
χ22222222-1-1-1-1-1-1-1-122-2-2-2-2-1-111110000-22i3−i311-1-1i3−i3−i3i3−i3i30000000000
χ23222222-1-1-1-1-1-1-1-1-2-22-22-211-1-111020-200−i3i3−i3i3−i3i3i3−i3-1-1110000000000
χ24222222-1-1-1-1-1-1-1-1-2-22-22-211-1-111020-200i3−i3i3−i3i3−i3−i3i3-1-1110000000000
χ25222222-1-1-1-1-1-1-1-1-2-22-22-211-1-1110-20200−i3i3i3−i3i3−i3i3−i311-1-10000000000
χ26222222-1-1-1-1-1-1-1-1-2-22-22-211-1-1110-20200i3−i3−i3i3−i3i3−i3i311-1-10000000000
χ27222222-1-1-1-1-1-1-1-1-2-2-22-221111-1-120-2000-1-1−i3i3i3−i311−i3i3i3−i30000000000
χ28222222-1-1-1-1-1-1-1-1-2-2-22-221111-1-120-2000-1-1i3−i3−i3i311i3−i3−i3i30000000000
χ29222222-1-1-1-1-1-1-1-1-2-2-22-221111-1-1-20200011−i3i3i3−i3-1-1i3−i3−i3i30000000000
χ30222222-1-1-1-1-1-1-1-1-2-2-22-221111-1-1-20200011i3−i3−i3i3-1-1−i3i3i3−i30000000000
χ312222-2-222-2-2-2-2222-222-2-22-22-22-200000000000000000000002i−2i0000
χ322222-2-222-2-2-2-2222-222-2-22-22-22-20000000000000000000000−2i2i0000
χ332222-2-222-2-2-2-2222-2-2-2222-2-22-2200000000000000000022-2-2000000
χ342222-2-222-2-2-2-2222-2-2-2222-2-22-22000000000000000000-2-222000000
χ352222-2-222-2-2-2-222-222-2-22-222-2-220000000000000000000000002-200
χ362222-2-222-2-2-2-222-222-2-22-222-2-22000000000000000000000000-2200
χ372222-2-222-2-2-2-222-22-222-2-22-222-2000000000000000000000000002-2
χ382222-2-222-2-2-2-222-22-222-2-22-222-200000000000000000000000000-22
χ394444-4-4-2-22222-2-24-444-4-4-22-22-220000000000000000000000000000
χ404444-4-4-2-22222-2-24-4-4-444-222-22-20000000000000000000000000000
χ414444-4-4-2-22222-2-2-444-4-442-2-222-20000000000000000000000000000
χ424444-4-4-2-22222-2-2-44-444-42-22-2-220000000000000000000000000000
χ4344-4-44-44-444-4-44-40000000000000000000000000000002i−2i2i−2i000000
χ4444-4-44-44-444-4-44-4000000000000000000000000000000−2i2i−2i2i000000
χ4544-4-4-444-4-4-4444-40000000000000000000000000000002i−2i−2i2i000000
χ4644-4-4-444-4-4-4444-4000000000000000000000000000000−2i2i2i−2i000000
χ4788-8-88-8-44-4-444-440000000000000000000000000000000000000000
χ4888-8-8-88-4444-4-4-440000000000000000000000000000000000000000
χ498-88-800880000-8-80000000000000000000000000000000000000000
χ508-88-800-4-4−4i34i3−4i34i3440000000000000000000000000000000000000000
χ518-88-800-4-44i3−4i34i3−4i3440000000000000000000000000000000000000000
χ528-8-88008-80000-880000000000000000000000000000000000000000
χ538-8-8800-44−4i34i34i3−4i34-40000000000000000000000000000000000000000
χ548-8-8800-444i3−4i3−4i34i34-40000000000000000000000000000000000000000

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