Finite Group Databasebeta

← Group #85593

Character table — Group #85593

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444333366666612121212444488888816161616444488888816161616
order1222444444444422224444444444366612121212121212121212366612121212121212121212
χ111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51111-1-111-1-11-11-11111-1-111-1-11-11-11111-1-111-1-11-11-11111-1-111-1-11-11-1
χ61111-1-111-1-1-11-111111-1-111-1-1-11-111111-1-111-1-1-11-111111-1-111-1-1-11-11
χ71111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-111111-1-1-1-1111-1-11
χ81111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-11111-1-1-1-111-111-1
χ922-2-2002-200000022-2-2002-200000022-2-2002-200000022-2-2002-2000000
χ1022-2-200-2200000022-2-200-2200000022-2-200-2200000022-2-200-22000000
χ112-22-22-2000000002-22-22-2000000002-22-22-2000000002-22-22-200000000
χ122-22-2-22000000002-22-2-22000000002-22-2-22000000002-22-2-2200000000
χ132-2-2200002-200002-2-2200002-200002-2-2200002-200002-2-2200002-20000
χ142-2-220000-2200002-2-220000-2200002-2-220000-2200002-2-220000-220000
χ151111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ161111111111-1-1-1-11111111111-1-1-1-1−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ17111111-1-1-1-111-1-1111111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ18111111-1-1-1-1-1-111111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ191111-1-111-1-11-11-11111-1-111-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ201111-1-111-1-1-11-111111-1-111-1-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ211111-1-1-1-1111-1-111111-1-1-1-1111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ221111-1-1-1-111-111-11111-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ2322-2-2002-200000022-2-2002-2000000−1+i3−1+i31−i31−i300−1+i31−i3000000−1−i3−1−i31+i31+i300−1−i31+i3000000
χ2422-2-200-2200000022-2-200-22000000−1+i3−1+i31−i31−i3001−i3−1+i3000000−1−i3−1−i31+i31+i3001+i3−1−i3000000
χ252-22-22-2000000002-22-22-200000000−1+i31−i3−1+i31−i3−1+i31−i300000000−1−i31+i3−1−i31+i3−1−i31+i300000000
χ262-22-2-22000000002-22-2-2200000000−1+i31−i3−1+i31−i31−i3−1+i300000000−1−i31+i3−1−i31+i31+i3−1−i300000000
χ272-2-2200002-200002-2-2200002-20000−1+i31−i31−i3−1+i30000−1+i31−i30000−1−i31+i31+i3−1−i30000−1−i31+i30000
χ282-2-220000-2200002-2-220000-220000−1+i31−i31−i3−1+i300001−i3−1+i30000−1−i31+i31+i3−1−i300001+i3−1−i30000
χ291111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32
χ301111111111-1-1-1-11111111111-1-1-1-1−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ31111111-1-1-1-111-1-1111111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ32111111-1-1-1-1-1-111111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ331111-1-111-1-11-11-11111-1-111-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ341111-1-111-1-1-11-111111-1-111-1-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ351111-1-1-1-1111-1-111111-1-1-1-1111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ361111-1-1-1-111-111-11111-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ3722-2-2002-200000022-2-2002-2000000−1−i3−1−i31+i31+i300−1−i31+i3000000−1+i3−1+i31−i31−i300−1+i31−i3000000
χ3822-2-200-2200000022-2-200-22000000−1−i3−1−i31+i31+i3001+i3−1−i3000000−1+i3−1+i31−i31−i3001−i3−1+i3000000
χ392-22-22-2000000002-22-22-200000000−1−i31+i3−1−i31+i3−1−i31+i300000000−1+i31−i3−1+i31−i3−1+i31−i300000000
χ402-22-2-22000000002-22-2-2200000000−1−i31+i3−1−i31+i31+i3−1−i300000000−1+i31−i3−1+i31−i31−i3−1+i300000000
χ412-2-2200002-200002-2-2200002-20000−1−i31+i31+i3−1−i30000−1−i31+i30000−1+i31−i31−i3−1+i30000−1+i31−i30000
χ422-2-220000-2200002-2-220000-220000−1−i31+i31+i3−1−i300001+i3−1−i30000−1+i31−i31−i3−1+i300001−i3−1+i30000
χ4333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ443333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000
χ45333333-3-3-3-333-3-3-1-1-1-1-1-11111-1-1110000000000000000000000000000
χ46333333-3-3-3-3-3-333-1-1-1-1-1-1111111-1-10000000000000000000000000000
χ473333-3-333-3-33-33-3-1-1-1-111-1-111-11-110000000000000000000000000000
χ483333-3-333-3-3-33-33-1-1-1-111-1-1111-11-10000000000000000000000000000
χ493333-3-3-3-3333-3-33-1-1-1-11111-1-1-111-10000000000000000000000000000
χ503333-3-3-3-333-333-3-1-1-1-11111-1-11-1-110000000000000000000000000000
χ5166-6-6006-6000000-2-22200-220000000000000000000000000000000000
χ5266-6-600-66000000-2-222002-20000000000000000000000000000000000
χ536-66-66-600000000-22-22-22000000000000000000000000000000000000
χ546-66-6-6600000000-22-222-2000000000000000000000000000000000000
χ556-6-6600006-60000-222-20000-2200000000000000000000000000000000
χ566-6-660000-660000-222-200002-200000000000000000000000000000000

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