Finite Group Databasebeta

← Group #10697416

Character table — Group #10697416

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222444444444444888816161616161616161616161616161616161624242424484848484848
order122234466624444412121212121261212124444881212121212121212242424244444448888
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ711111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9222222222222-2-2-2-2-2-2-2-2222-2-2200002-20000000022-2-20000000000
χ10222222222222-2-2-2-2-2-2-2-2222-2-220000-2200000000-2-2220000000000
χ112222222222-2-22-22-222-2-222-22-2-2020-20000-2-2002200000000000000
χ122222222222-2-22-22-222-2-222-22-2-20-20200002200-2-200000000000000
χ132222222222-2-2-22-22-2-22222-2-22-220-2000-2-200220000000000000000
χ142222222222-2-2-22-22-2-22222-2-22-2-2020002200-2-20000000000000000
χ1522222-2-22222-22-2-2222-2-2-2-22-22-2000000000000000000000000002-2
χ1622222-2-22222-22-2-2222-2-2-2-22-22-200000000000000000000000000-22
χ1722222-2-22222-2-222-2-2-222-2-222-2-20000000000000000000000002-200
χ1822222-2-22222-2-222-2-2-222-2-222-2-2000000000000000000000000-2200
χ1922222-2-2222-2222-2-22222-2-2-2-2-220000000000000000002i2i−2i−2i000000
χ2022222-2-2222-2222-2-22222-2-2-2-2-22000000000000000000−2i−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
χ232222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-12-22-2-2-2-1-111-1-11111110000000000
χ252222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-22-22-2-211-1-111-1-111110000000000
χ262222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000
χ272222-122-1-1-122-2-2-2-21111-1-1-111-100002-2−i3i3−i3i3−i3i3−i3i3-1-1110000000000
χ282222-122-1-1-122-2-2-2-21111-1-1-111-100002-2i3−i3i3−i3i3−i3i3−i3-1-1110000000000
χ292222-122-1-1-122-2-2-2-21111-1-1-111-10000-22−i3i3i3−i3−i3i3i3−i311-1-10000000000
χ302222-122-1-1-122-2-2-2-21111-1-1-111-10000-22i3−i3−i3i3i3−i3−i3i311-1-10000000000
χ312222-122-1-1-1-2-22-22-2-1-111-1-11-111020-200−i3i311i3−i3-1-1−i3i3−i3i30000000000
χ322222-122-1-1-1-2-22-22-2-1-111-1-11-111020-200i3−i311−i3i3-1-1i3−i3i3−i30000000000
χ332222-122-1-1-1-2-22-22-2-1-111-1-11-1110-20200−i3i3-1-1i3−i311i3−i3i3−i30000000000
χ342222-122-1-1-1-2-22-22-2-1-111-1-11-1110-20200i3−i3-1-1−i3i311−i3i3−i3i30000000000
χ352222-122-1-1-1-2-2-22-2211-1-1-1-111-1120-200011−i3i3-1-1i3−i3−i3i3i3−i30000000000
χ362222-122-1-1-1-2-2-22-2211-1-1-1-111-1120-200011i3−i3-1-1−i3i3i3−i3−i3i30000000000
χ372222-122-1-1-1-2-2-22-2211-1-1-1-111-11-202000-1-1−i3i311i3−i3i3−i3−i3i30000000000
χ382222-122-1-1-1-2-2-22-2211-1-1-1-111-11-202000-1-1i3−i311−i3i3−i3i3i3−i30000000000
χ394444-2-4-4-2-2-24-44-4-44-2-22222-22-220000000000000000000000000000
χ404444-2-4-4-2-2-24-4-444-422-2-222-2-2220000000000000000000000000000
χ414444-2-4-4-2-2-2-4444-4-4-2-2-2-222222-20000000000000000000000000000
χ424444-2-4-4-2-2-2-44-4-4442222222-2-2-20000000000000000000000000000
χ4344-4-444-4-4-4400000000004-400000000000000000000002-22-2000000
χ4444-4-444-4-4-4400000000004-40000000000000000000000-22-22000000
χ4544-4-44-44-4-440000000000-4400000000000000000000002i−2i−2i2i000000
χ4644-4-44-44-4-440000000000-440000000000000000000000−2i2i2i−2i000000
χ4788-8-8-48-844-40000000000-4400000000000000000000000000000000
χ4888-8-8-4-8844-400000000004-400000000000000000000000000000000
χ498-88-88008-8-800000000000000000000000000000000000000000000
χ508-88-8-400-444000000−4i34i3000000000000000000000000000000000000
χ518-88-8-400-4440000004i3−4i3000000000000000000000000000000000000
χ528-8-88800-88-800000000000000000000000000000000000000000000
χ538-8-88-4004-4400000000−4i34i30000000000000000000000000000000000
χ548-8-88-4004-44000000004i3−4i30000000000000000000000000000000000

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