Finite Group Databasebeta

← Group #11724197

Character table — Group #11724197

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11222244666688888812121616161616161824242424242424363636363672108108
order1233663624663336661212333666466666612481224241228
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-1-1
χ311111111-11-1-111111111111111-1-1-1-1-1-1-1111-1111-1-1
χ411111111-11-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111
χ5222222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1200200000
χ622222222-22-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2111111200-200000
χ7222-1-12-1-122-1-12-1-12-1-1-122-1-12-1-1222-1-1-1-1-100-100000
χ8222-1-12-1-122-1-1-12-1-12-1-12-12-1-12-12-1-122-1-1-100-100000
χ9222-1-12-1-122-1-1-1-12-1-12-12-1-12-1-122-1-1-1-122-100-100000
χ10222-1-12-1-1-22112-1-12-1-1-122-1-12-1-1-2-2-21111-100100000
χ11222-1-12-1-1-2211-12-1-12-1-12-12-1-12-1-211-2-211-100100000
χ12222-1-12-1-1-2211-1-12-1-12-12-1-12-1-12-21111-2-2-100100000
χ1322-122-1-1-102002222222-1-1-1-1-1-1-10000000-1220-1-1-100
χ1422-122-1-1-102002222222-1-1-1-1-1-1-10000000-1-2-2011100
χ15333333333-133000000-1-1000000-1000000-11-1-1-1-111-1
χ16333333333-133000000-1-1000000-1000000-1-11-111-1-11
χ1733333333-3-1-3-3000000-1-10000001000000-11-11-1-11-11
χ1833333333-3-1-3-3000000-1-10000001000000-1-11111-11-1
χ1944-244-2-2-20400-2-2-2-2-2-24-21111110000000-200000000
χ2044-2-2-2-21104004-2-24-2-2-2-2-211-2110000000100000000
χ2144-2-2-2-2110400-24-2-24-2-2-21-211-210000000100000000
χ2244-2-2-2-2110400-2-24-2-24-2-211-211-20000000100000000
χ234-444-4-44-40000111-1-1-100111-1-1-10−i3i3−i3i3−i3i3000000000
χ244-444-4-44-40000111-1-1-100111-1-1-10i3−i3i3−i3i3−i3000000000
χ254-444-4-44-40000-2-2-222200-2-2-22220000000000000000
χ264-44-22-4-2200−2i32i311-2-1-120011-2-1-120−i3i3i3−i300000000000
χ274-44-22-4-2200−2i32i31-21-12-1001-21-12-10i3−i300−i3i3000000000
χ284-44-22-4-2200−2i32i3-2112-1-100-2112-1-1000−i3i3i3−i3000000000
χ294-44-22-4-22002i3−2i311-2-1-120011-2-1-120i3−i3−i3i300000000000
χ304-44-22-4-22002i3−2i31-21-12-1001-21-12-10−i3i300i3−i3000000000
χ314-44-22-4-22002i3−2i3-2112-1-100-2112-1-1000i3−i3−i3i3000000000
χ324-4-24-42-220000-2-2-222200111-1-1-100000000000i6−i6000
χ334-4-24-42-220000-2-2-222200111-1-1-100000000000−i6i6000
χ34666-3-36-3-36-2-3-30000001-2000000-2000000100100000
χ35666-3-36-3-3-6-2330000001-20000002000000100-100000
χ3666-366-3-3-30-200000000-21000000000000012-2011-100
χ3766-366-3-3-30-200000000-2100000000000001-220-1-1100
χ388-8-48-84-440000222-2-2-200-1-1-11110000000000000000
χ398-8-4-4442-2000022-4-2-2400-1-1211-20000000000000000
χ408-8-4-4442-200002-42-24-200-12-11-210000000000000000
χ418-8-4-4442-20000-4224-2-2002-1-1-2110000000000000000
χ421212-6-6-6-6330-400000000220000000000000-100000000

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