Finite Group Databasebeta

← Group #72276697

Character table — Group #72276697

Order 4032.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size116667777121216161616282828282828363636363642428484848496969696112112112112112112112112112112112112112112112112112112112112168168168
order1227143366243366226666141414282866661212212142423333666666666666666641212
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111−1+i32−1−i32−1+i32−1−i3211111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111
χ411111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1
χ511111111111−1−i32−1+i32−1−i32−1+i3211111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111
χ611111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1
χ711111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ811111−1+i32−1−i32−1+i32−1−i32111111-1-11−i321−i321+i321+i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i32
χ911111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−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−i32−1−i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i321−1+i32−1−i32
χ1011111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i321−i321−i321+i321+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i32-11−i321+i32
χ1111111−1+i32−1−i32−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i321−1−i32−1−i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32
χ1211111−1+i32−1−i32−1+i32−1−i3211−1−i32−1+i32−1−i32−1+i32-1-11−i321−i321+i321+i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211+i321+i321−i321−i321−1+i32−1−i321-1-11−i321−i321+i321+i32-1-1-11−i321+i32
χ1311111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ1411111−1−i32−1+i32−1−i32−1+i32111111-1-11+i321+i321−i321−i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i32
χ1511111−1−i32−1+i32−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i3211−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i321−1+i32−1+i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32
χ1611111−1−i32−1+i32−1−i32−1+i3211−1+i32−1−i32−1+i32−1−i32-1-11+i321+i321−i321−i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−i321−i321+i321+i321−1−i32−1+i321-1-11+i321+i321−i321−i32-1-1-11+i321−i32
χ1711111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+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+i32−1+i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i321−1−i32−1+i32
χ1811111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i321+i321+i321−i321−i32−1+i3211−1−i321−i321−i32-1-1-1-11+i321+i32-11+i321−i32
χ19333333333-1-100003333333-1-1-1-133-1-1-1-1000000000000000000000000-1-1-1
χ20333333333-1-10000-3-3-3-3-3-33-1-1-1-133-1-1-1-1000000000000000000000000111
χ2133333−3+3i32−3−3i32−3+3i32−3−3i32-1-1000033−3+3i32−3+3i32−3−3i32−3−3i323-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i32000000000000000000000000-11−i321+i32
χ2233333−3+3i32−3−3i32−3+3i32−3−3i32-1-10000-3-33−3i323−3i323+3i323+3i323-1-1-1-1−3+3i32−3−3i321−i321+i321−i321+i320000000000000000000000001−1+i32−1−i32
χ2333333−3−3i32−3+3i32−3−3i32−3+3i32-1-1000033−3−3i32−3−3i32−3+3i32−3+3i323-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i32000000000000000000000000-11+i321−i32
χ2433333−3−3i32−3+3i32−3−3i32−3+3i32-1-10000-3-33+3i323+3i323−3i323−3i323-1-1-1-1−3−3i32−3+3i321+i321−i321+i321−i320000000000000000000000001−1−i32−1+i32
χ254-404-444-4-40011-1-12-22-22-20000000000011-1-111111-11-1-1-1-1-11-11-11-11-1000
χ264-404-444-4-40011-1-1-22-22-220000000000011-1-11111-11-11-1-1-1-1-11-11-11-11000
χ274-404-444-4-400−1+i32−1−i321−i321+i322-22-22-200000000000−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32000
χ284-404-444-4-400−1+i32−1−i321−i321+i32-22-22-2200000000000−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32000
χ294-404-444-4-400−1−i32−1+i321+i321−i322-22-22-200000000000−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32000
χ304-404-444-4-400−1−i32−1+i321+i321−i32-22-22-2200000000000−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32000
χ314-404-4−2+2i3−2−2i32−2i32+2i30011-1-12-2−1+i31−i3−1−i31+i30000000000011-1-1−1+i32−1−i32−1+i32−1−i321-11-11−i321+i321−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32000
χ324-404-4−2+2i3−2−2i32−2i32+2i30011-1-1-221−i3−1+i31+i3−1−i30000000000011-1-1−1+i32−1−i32−1+i32−1−i32-11-111−i321+i321−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32000
χ334-404-4−2+2i3−2−2i32−2i32+2i300−1+i32−1−i321−i321+i322-2−1+i31−i3−1−i31+i300000000000−1+i32−1−i321−i321+i32−1−i3211−1+i32−1+i321−i32−1−i321+i321+i32-1-11−i32−1−i321+i321-11-1−1+i321−i32000
χ344-404-4−2+2i3−2−2i32−2i32+2i300−1+i32−1−i321−i321+i32-221−i3−1+i31+i3−1−i300000000000−1+i32−1−i321−i321+i32−1−i3211−1+i321−i32−1+i321+i32−1−i321+i32-1-11−i321+i32−1−i32-11-111−i32−1+i32000
χ354-404-4−2+2i3−2−2i32−2i32+2i300−1−i32−1+i321+i321−i322-2−1+i31−i3−1−i31+i300000000000−1−i32−1+i321+i321−i321−1+i32−1−i321−1−i321+i32−1+i321−i32-11−i321+i32-11-1−1+i321−i32−1−i321+i321-1000
χ364-404-4−2+2i3−2−2i32−2i32+2i300−1−i32−1+i321+i321−i32-221−i3−1+i31+i3−1−i300000000000−1−i32−1+i321+i321−i321−1+i32−1−i3211+i32−1−i321−i32−1+i32-11−i321+i32-1-111−i32−1+i321+i32−1−i32-11000
χ374-404-4−2−2i3−2+2i32+2i32−2i30011-1-12-2−1−i31+i3−1+i31−i30000000000011-1-1−1−i32−1+i32−1−i32−1+i321-11-11+i321−i321+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32000
χ384-404-4−2−2i3−2+2i32+2i32−2i30011-1-1-221+i3−1−i31−i3−1+i30000000000011-1-1−1−i32−1+i32−1−i32−1+i32-11-111+i321−i321+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32000
χ394-404-4−2−2i3−2+2i32+2i32−2i300−1+i32−1−i321−i321+i322-2−1−i31+i3−1+i31−i300000000000−1+i32−1−i321−i321+i321−1−i32−1+i321−1+i321−i32−1−i321+i32-11+i321−i32-11-1−1−i321+i32−1+i321−i321-1000
χ404-404-4−2−2i3−2+2i32+2i32−2i300−1+i32−1−i321−i321+i32-221+i3−1−i31−i3−1+i300000000000−1+i32−1−i321−i321+i321−1−i32−1+i3211−i32−1+i321+i32−1−i32-11+i321−i32-1-111+i32−1−i321−i32−1+i32-11000
χ414-404-4−2−2i3−2+2i32+2i32−2i300−1−i32−1+i321+i321−i322-2−1−i31+i3−1+i31−i300000000000−1−i32−1+i321+i321−i32−1+i3211−1−i32−1−i321+i32−1+i321−i321−i32-1-11+i32−1+i321−i321-11-1−1−i321+i32000
χ424-404-4−2−2i3−2+2i32+2i32−2i300−1−i32−1+i321+i321−i32-221+i3−1−i31−i3−1+i300000000000−1−i32−1+i321+i321−i32−1+i3211−1−i321+i32−1−i321−i32−1+i321−i32-1-11+i321−i32−1+i32-11-111+i32−1−i32000
χ43666-1-10000666666000000-1-1-1-1-1000000-1-1-1-100000000000000000000000
χ44666-1-1000066−3+3i3−3−3i3−3+3i3−3−3i3000000-1-1-1-1-10000001−i321+i321−i321+i3200000000000000000000000
χ45666-1-1000066−3−3i3−3+3i3−3−3i3−3+3i3000000-1-1-1-1-10000001+i321−i321+i321−i3200000000000000000000000
χ4666-26666662-20000000000-222-2-2-2-222-2-2000000000000000000000000000
χ4766-2666666-220000000000-2-2-222-2-2-2-222000000000000000000000000000
χ4866-266−3+3i3−3−3i3−3+3i3−3−3i32-20000000000-222-2-21−i31+i3−1+i3−1−i31−i31+i3000000000000000000000000000
χ4966-266−3+3i3−3−3i3−3+3i3−3−3i3-220000000000-2-2-2221−i31+i31−i31+i3−1+i3−1−i3000000000000000000000000000
χ5066-266−3−3i3−3+3i3−3−3i3−3+3i32-20000000000-222-2-21+i31−i3−1−i3−1+i31+i31−i3000000000000000000000000000
χ5166-266−3−3i3−3+3i3−3−3i3−3+3i3-220000000000-2-2-2221+i31−i31+i31−i3−1−i3−1+i3000000000000000000000000000
χ52181818-3-30000-6-60000000000-31111000000000000000000000000000000000
χ531818-6-3-300006-600000000001−1−2i7−1+2i711000000000000000000000000000000000
χ541818-6-3-300006-600000000001−1+2i7−1−2i711000000000000000000000000000000000
χ551818-6-3-30000-660000000000111−1−2i7−1+2i7000000000000000000000000000000000
χ561818-6-3-30000-660000000000111−1+2i7−1−2i7000000000000000000000000000000000
χ5724-240-4400000066-6-600000000000000000-1-11100000000000000000000000
χ5824-240-44000000−3+3i3−3−3i33−3i33+3i3000000000000000001−i321+i32−1+i32−1−i3200000000000000000000000
χ5924-240-44000000−3−3i3−3+3i33+3i33−3i3000000000000000001+i321−i32−1−i32−1+i3200000000000000000000000

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