Finite Group Databasebeta

← Group #11722432

Character table — Group #11722432

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1122222666666121212121212121212121212181824242424242424242424545472727272
order12236663446663366121212121212121224336666666624661212
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ31111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ41111111111111−1+i32−1−i32−1+i32−1−i3211111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ51111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111111−1−i32−1+i32−1−i32−1+i3211111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ711-11-1-1111-1-1-1111111-1111-1-1-11-111-1-11-1-11-1-1-1111-1-1
χ811-11-1-1111-1-1-1111111-1111-1-1-1-1111-1-11-1-11-1-11-1-1-111
χ911-11-1-1111-1-1-11−1+i32−1−i32−1+i32−1−i321-1111-1-1-11-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-11−1+i32−1−i321−i321+i32
χ1011-11-1-1111-1-1-11−1+i32−1−i32−1+i32−1−i321-1111-1-1-1-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11−i321+i32−1+i32−1−i32
χ1111-11-1-1111-1-1-11−1−i32−1+i32−1−i32−1+i321-1111-1-1-11-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-11−1−i32−1+i321+i321−i32
χ1211-11-1-1111-1-1-11−1−i32−1+i32−1−i32−1+i321-1111-1-1-1-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11+i321−i32−1−i32−1+i32
χ132222222-122-1-1-1222222-1-1-1-1-1-100-1-122-1-1-1-1-1-1000000
χ142222222-122-1-1-1−1+i3−1−i3−1+i3−1−i322-1-1-1-1-1-1001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ152222222-122-1-1-1−1−i3−1+i3−1−i3−1+i322-1-1-1-1-1-1001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ1622-22-2-22-12-211-122222-2-1-1-111100-1-1-2-2-111-111000000
χ1722-22-2-22-12-211-1−1+i3−1−i3−1+i3−1−i32-2-1-1-1111001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32000000
χ1822-22-2-22-12-211-1−1−i3−1+i3−1−i3−1+i32-2-1-1-1111001+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32000000
χ1933333333-1-13330000-1-1-1-1-1-1-1-1330000000000-1-10000
χ2033333333-1-13330000-1-1-1-1-1-1-1-1-3-30000000000110000
χ2133-33-3-333-11-3-330000-11-1-1-11113-300000000001-10000
χ2233-33-3-333-11-3-330000-11-1-1-1111-330000000000-110000
χ234-40400-440000-4-2-2220000000000-2-200200200000000
χ244-40400-440000-41−i31+i3−1+i3−1−i300000000001−i31+i300−1+i300−1−i300000000
χ254-40400-440000-41+i31−i3−1−i3−1+i300000000001+i31−i300−1−i300−1+i300000000
χ264-40400-4-2002i3−2i32-2-22200000000001100-1i3−i3-1i3−i3000000
χ274-40400-4-2002i3−2i321−i31+i3−1+i3−1−i30000000000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000
χ284-40400-4-2002i3−2i321+i31−i3−1−i3−1+i30000000000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000
χ294-40400-4-200−2i32i32-2-22200000000001100-1−i3i3-1−i3i3000000
χ304-40400-4-200−2i32i321−i31+i3−1+i3−1−i30000000000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000
χ314-40400-4-200−2i32i321+i31−i3−1−i3−1+i30000000000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000
χ326666666-3-2-2-3-3-30000-2-2111111000000000000000000
χ33666-3-3-3-30660000000-3-3000000000000000000000000
χ34666-3-3-3-30-2-20000000114-2-24-2-2000000000000000000
χ35666-3-3-3-30-2-2000000011-24-2-24-2000000000000000000
χ36666-3-3-3-30-2-2000000011-2-24-2-24000000000000000000
χ3766-66-6-66-3-2233-30000-22111-1-1-1000000000000000000
χ3866-6-333-306-60000000-33000000000000000000000000
χ3966-6-333-30-2200000001-14-2-2-422000000000000000000
χ4066-6-333-30-2200000001-1-24-22-42000000000000000000
χ4166-6-333-30-2200000001-1-2-2422-4000000000000000000
χ4212-120-66i3−6i36000000000000000000000000000000000000
χ4312-120-6−6i36i36000000000000000000000000000000000000

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