Finite Group Databasebeta

← Group #11921377

Character table — Group #11921377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size112222266121212121212121212121212121216161616242432323232323232323232727296969696
order122366622224466666612121212336624336666666644661212
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ311111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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
χ411111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+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
χ511111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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
χ611111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−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
χ711-11-1-11-111-11-1111-1-1-111-1-111111-111-1-11-1-11-1-11-111-1-1
χ811-11-1-11-111-11-1111-1-1-111-1-11111-1111-1-11-1-11-1-1-11-1-111
χ911-11-1-11-111-11-1111-1-1-111-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1011-11-1-11-111-11-1111-1-1-111-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1111-11-1-11-111-11-1111-1-1-111-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1211-11-1-11-111-11-1111-1-1-111-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ13222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-1000000
χ14222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ15222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ1622-2-111-1-222-22-2-1-1-1111-1-111222200-1-1-2-2-111-111000000
χ1722-2-111-1-222-22-2-1-1-1111-1-111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32000000
χ1822-2-111-1-222-22-2-1-1-1111-1-111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32000000
χ19333333333-1-1-1-13-1-13-1-1-1-1-1-10000330000000000-1-10000
χ20333333333-1-1-1-13-1-13-1-1-1-1-1-10000-3-30000000000110000
χ2133-33-3-33-33-11-113-1-1-311-1-11100003-30000000000-110000
χ2233-33-3-33-33-11-113-1-1-311-1-1110000-3300000000001-10000
χ236666666-2-222-2-2-222-222-2-2-2-20000000000000000000000
χ246666666-2-2-2-222-2-2-2-2-2-222220000000000000000000000
χ25666-3-3-3-366-2-2-2-2-311-31111110000000000000000000000
χ26666-3-3-3-3-2-222-2-21−1+2i3−1−2i31−1+2i3−1−2i311110000000000000000000000
χ27666-3-3-3-3-2-222-2-21−1−2i3−1+2i31−1−2i3−1+2i311110000000000000000000000
χ28666-3-3-3-3-2-2-2-222111111−1+2i3−1−2i3−1+2i3−1−2i30000000000000000000000
χ29666-3-3-3-3-2-2-2-222111111−1−2i3−1+2i3−1−2i3−1+2i30000000000000000000000
χ3066-66-6-662-22-2-22-2222-2-2-2-2220000000000000000000000
χ3166-66-6-662-2-222-2-2-2-222222-2-20000000000000000000000
χ3266-6-333-32-22-2-221−1+2i3−1−2i3-11−2i31+2i311-1-10000000000000000000000
χ3366-6-333-32-22-2-221−1−2i3−1+2i3-11+2i31−2i311-1-10000000000000000000000
χ3466-6-333-32-2-222-2111-1-1-1−1+2i3−1−2i31−2i31+2i30000000000000000000000
χ3566-6-333-32-2-222-2111-1-1-1−1−2i3−1+2i31+2i31−2i30000000000000000000000
χ3666-6-333-3-66-22-22-3113-1-111-1-10000000000000000000000
χ378-80800-8000000000000000022-2-2002200-200-200000000
χ388-80800-80000000000000000−1+i3−1−i31−i31+i300−1+i3−1−i3001−i3001+i300000000
χ398-80800-80000000000000000−1−i3−1+i31+i31−i300−1−i3−1+i3001+i3001−i300000000
χ408-80-44i3−4i34000000000000000022-2-200-1-1001i3−i31i3−i3000000
χ418-80-44i3−4i340000000000000000−1+i3−1−i31−i31+i3001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i32000000
χ428-80-44i3−4i340000000000000000−1−i3−1+i31+i31−i3001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i32000000
χ438-80-4−4i34i34000000000000000022-2-200-1-1001−i3i31−i3i3000000
χ448-80-4−4i34i340000000000000000−1+i3−1−i31−i31+i3001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i32000000
χ458-80-4−4i34i340000000000000000−1−i3−1+i31+i31−i3001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i32000000

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