Finite Group Databasebeta

← Group #10697404

Character table — Group #10697404

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222444444444444888816161616161616161616161616161616161624242424484848484848
order1222344666244444121212121212612121224446688121212121212242424244444448888
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-11-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ611111111111111111111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9222222222222-2-2-2-2-2-22-2-222-22-20000002-200000022-2-20000000000
χ10222222222222-2-2-2-2-2-22-2-222-22-2000000-22000000-2-2220000000000
χ112222222222-2-22-2-22222-2-22-2-2-2220-20220000-2-20000000000000000
χ122222222222-2-22-2-22222-2-22-2-2-22-2020-2-20000220000000000000000
χ132222222222-2-2-222-2-2-22222-22-2-2020-200002200-2-200000000000000
χ142222222222-2-2-222-2-2-22222-22-2-20-2020000-2-2002200000000000000
χ1522222-2-22222-22-22-222-2-2-2-222-2-20000000000000000000000002-200
χ1622222-2-22222-22-22-222-2-2-2-222-2-2000000000000000000000000-2200
χ1722222-2-22222-2-22-22-2-2-222-22-2-22000000000000000000000000002-2
χ1822222-2-22222-2-22-22-2-2-222-22-2-2200000000000000000000000000-22
χ1922222-2-2222-2222-2-222-222-2-2-22-20000000000000000002i2i−2i−2i000000
χ2022222-2-2222-2222-2-222-222-2-2-22-2000000000000000000−2i−2i2i2i000000
χ2122222-2-2222-22-2-222-2-2-2-2-2-2-222200000000000000000000002-20000
χ2222222-2-2222-22-2-222-2-2-2-2-2-2-22220000000000000000000000-220000
χ232222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-12-22-2-1-1-2-211-1-11111110000000000
χ252222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-22-2211-2-2-1-111-1-111110000000000
χ262222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000000
χ272222-122-1-1-122-2-2-2-211-111-1-11-110000−i3i32-2−i3i3−i3i3−i3i3-1-1110000000000
χ282222-122-1-1-122-2-2-2-211-111-1-11-110000−i3i3-22i3−i3−i3i3i3−i311-1-10000000000
χ292222-122-1-1-122-2-2-2-211-111-1-11-110000i3−i32-2i3−i3i3−i3i3−i3-1-1110000000000
χ302222-122-1-1-122-2-2-2-211-111-1-11-110000i3−i3-22−i3i3i3−i3−i3i311-1-10000000000
χ312222-122-1-1-1-2-22-2-22-1-1-111-1111-120-20-1-100−i3i311i3−i3−i3i3−i3i30000000000
χ322222-122-1-1-1-2-22-2-22-1-1-111-1111-120-20-1-100i3−i311−i3i3i3−i3i3−i30000000000
χ332222-122-1-1-1-2-22-2-22-1-1-111-1111-1-20201100−i3i3-1-1i3−i3i3−i3i3−i30000000000
χ342222-122-1-1-1-2-22-2-22-1-1-111-1111-1-20201100i3−i3-1-1−i3i3−i3i3−i3i30000000000
χ352222-122-1-1-1-2-2-222-211-1-1-1-11-111020-2−i3i300-1-1i3−i311−i3i3i3−i30000000000
χ362222-122-1-1-1-2-2-222-211-1-1-1-11-111020-2i3−i300-1-1−i3i311i3−i3−i3i30000000000
χ372222-122-1-1-1-2-2-222-211-1-1-1-11-1110-202−i3i30011i3−i3-1-1i3−i3−i3i30000000000
χ382222-122-1-1-1-2-2-222-211-1-1-1-11-1110-202i3−i30011−i3i3-1-1−i3i3i3−i30000000000
χ394444-2-4-4-2-2-24-44-44-4-2-22222-2-2220000000000000000000000000000
χ404444-2-4-4-2-2-24-4-44-44222-2-22-222-20000000000000000000000000000
χ414444-2-4-4-2-2-2-4444-4-4-2-22-2-2222-220000000000000000000000000000
χ424444-2-4-4-2-2-2-44-4-4442222222-2-2-20000000000000000000000000000
χ4344-4-444-4-44-400000000400-400000000000000000000002-22-2000000
χ4444-4-444-4-44-400000000400-40000000000000000000000-22-22000000
χ4544-4-44-44-44-400000000-400400000000000000000000002i−2i−2i2i000000
χ4644-4-44-44-44-400000000-40040000000000000000000000−2i2i2i−2i000000
χ4788-8-8-48-84-4400000000-400400000000000000000000000000000000
χ4888-8-8-4-884-4400000000400-400000000000000000000000000000000
χ498-88-88008-8-800000000000000000000000000000000000000000000
χ508-88-8-400-444000000−4i34i3000000000000000000000000000000000000
χ518-88-8-400-4440000004i3−4i3000000000000000000000000000000000000
χ528-8-88800-8-8800000000000000000000000000000000000000000000
χ538-8-88-40044-4000000000−4i34i3000000000000000000000000000000000
χ548-8-88-40044-40000000004i3−4i3000000000000000000000000000000000

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