Finite Group Databasebeta

← Group #72275000

Character table — Group #72275000

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11266881212121216161616242432323232323222412121616242424243232323248486464646464643361818242436363636484848487272969696969696
order124242222443366446666121236126126666121233661212666612122242422224466664466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ311111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ411111-1-111111111-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-111
χ511111-1-11111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32
χ611111-1-11111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32
χ711-11-11-11-11-111111-11-11-1-1-111-11-11-11-11-111111-11-11-1-1-111-11-11-11-11-111111-11-11-1-1-1
χ811-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i3211-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i3211-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i32
χ911-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i3211-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i3211-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i32
χ1011-11-1-111-11-11111-11-11-11-1-111-11-1-111-11-11111-11-11-11-1-111-11-1-111-11-11111-11-11-11-1-1
χ1111-11-1-111-11-1−1+i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i3211-11-1-111-11-1−1+i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i3211-11-1-111-11-1−1+i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i32
χ1211-11-1-111-11-1−1−i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i3211-11-1-111-11-1−1−i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i3211-11-1-111-11-1−1−i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i32
χ133333333-1-1-1-10000-1-10000003333333-1-1-1-10000-1-10000003333333-1-1-1-10000-1-1000000
χ1433333-3-3-1-1-1-100001100000033333-3-3-1-1-1-100001100000033333-3-3-1-1-1-1000011000000
χ1533-33-33-3-11-110000-1100000033-33-33-3-11-110000-1100000033-33-33-3-11-110000-11000000
χ1633-33-3-33-11-1100001-100000033-33-3-33-11-1100001-100000033-33-3-33-11-1100001-1000000
χ17666-2-2002-2-22000000000000666-2-2002-2-22000000000000666-2-2002-2-22000000000000
χ18666-2-200-222-2000000000000666-2-200-222-2000000000000666-2-200-222-2000000000000
χ1966-6-220022-2-200000000000066-6-220022-2-200000000000066-6-220022-2-2000000000000
χ2066-6-2200-2-22200000000000066-6-2200-2-22200000000000066-6-2200-2-222000000000000
χ218-800000000022-2-2000000008-800000000022-2-2000000008-800000000022-2-200000000
χ228-8000000000−1+i3−1−i31−i31+i3000000008-8000000000−1+i3−1−i31−i31+i3000000008-8000000000−1+i3−1−i31−i31+i300000000
χ238-8000000000−1−i3−1+i31+i31−i3000000008-8000000000−1−i3−1+i31+i31−i3000000008-8000000000−1−i3−1+i31+i31−i300000000
χ241111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32
χ2611111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32
χ2711111-1-111111111-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ2811111-1-11111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i3211111-1-11111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1-1-1-111-1-1-1-11−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32
χ2911111-1-11111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i3211111-1-11111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1-1-1-111-1-1-1-11+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32
χ3011-11-11-11-11-111111-11-11-1-1-111-11-11-11-11-111111-11-11-1-1-1-1-11-11-11-11-11-1-1-1-1-11-11-1111
χ3111-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i3211-11-11-11-11-1−1+i32−1−i32−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i32-1-11-11-11-11-111−i321+i321−i321+i32-111−i32−1+i321+i32−1−i32−1+i32−1−i32
χ3211-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i3211-11-11-11-11-1−1−i32−1+i32−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i32-1-11-11-11-11-111+i321−i321+i321−i32-111+i32−1−i321−i32−1+i32−1−i32−1+i32
χ3311-11-1-111-11-11111-11-11-11-1-111-11-1-111-11-11111-11-11-11-1-1-1-11-111-1-11-11-1-1-1-11-11-11-111
χ3411-11-1-111-11-1−1+i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i3211-11-1-111-11-1−1+i32−1−i32−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i32-1-11-111-1-11-111−i321+i321−i321+i321-1−1+i321−i32−1−i321+i32−1+i32−1−i32
χ3511-11-1-111-11-1−1−i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i3211-11-1-111-11-1−1−i32−1+i32−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i32-1-11-111-1-11-111+i321−i321+i321−i321-1−1−i321+i32−1+i321−i32−1−i32−1+i32
χ363333333-1-1-1-10000-1-10000003333333-1-1-1-10000-1-1000000-3-3-3-3-3-3-31111000011000000
χ3733333-3-3-1-1-1-100001100000033333-3-3-1-1-1-1000011000000-3-3-3-3-33311110000-1-1000000
χ3833-33-33-3-11-110000-1100000033-33-33-3-11-110000-11000000-3-33-33-331-11-100001-1000000
χ3933-33-3-33-11-1100001-100000033-33-3-33-11-1100001-1000000-3-33-333-31-11-10000-11000000
χ40666-2-2002-2-22000000000000666-2-2002-2-22000000000000-6-6-62200-222-2000000000000
χ41666-2-200-222-2000000000000666-2-200-222-2000000000000-6-6-622002-2-22000000000000
χ4266-6-220022-2-200000000000066-6-220022-2-2000000000000-6-662-200-2-222000000000000
χ4366-6-2200-2-22200000000000066-6-2200-2-222000000000000-6-662-20022-2-2000000000000
χ448-800000000022-2-2000000008-800000000022-2-200000000-88000000000-2-22200000000
χ458-8000000000−1+i3−1−i31−i31+i3000000008-8000000000−1+i3−1−i31−i31+i300000000-880000000001−i31+i3−1+i3−1−i300000000
χ468-8000000000−1−i3−1+i31+i31−i3000000008-8000000000−1−i3−1+i31+i31−i300000000-880000000001+i31−i3−1−i3−1+i300000000
χ4722222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000
χ4822222222222−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321+i3200000000000000000000000
χ4922222222222−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321−i3200000000000000000000000
χ5022222-2-222222222-2-2-2-2-2-222-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-100000000000000000000000
χ5122222-2-22222−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i3−1+i3−1−i3-1-1-1-1-111-1-1-1-11−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i3200000000000000000000000
χ5222222-2-22222−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i3−1−i3−1+i3-1-1-1-1-111-1-1-1-11+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i3200000000000000000000000
χ5322-22-22-22-22-222222-22-22-2-2-2-1-11-11-11-11-11-1-1-1-1-11-11-111100000000000000000000000
χ5422-22-22-22-22-2−1+i3−1−i3−1+i3−1−i32-2−1+i31−i3−1−i31+i31−i31+i3-1-11-11-11-11-111−i321+i321−i321+i32-111−i32−1+i321+i32−1−i32−1+i32−1−i3200000000000000000000000
χ5522-22-22-22-22-2−1−i3−1+i3−1−i3−1+i32-2−1−i31+i3−1+i31−i31+i31−i3-1-11-11-11-11-111+i321−i321+i321−i32-111+i32−1−i321−i32−1+i32−1−i32−1+i3200000000000000000000000
χ5622-22-2-222-22-22222-22-22-22-2-2-1-11-111-1-11-11-1-1-1-11-11-11-11100000000000000000000000
χ5722-22-2-222-22-2−1+i3−1−i3−1+i3−1−i3-221−i3−1+i31+i3−1−i31−i31+i3-1-11-111-1-11-111−i321+i321−i321+i321-1−1+i321−i32−1−i321+i32−1+i32−1−i3200000000000000000000000
χ5822-22-2-222-22-2−1−i3−1+i3−1−i3−1+i3-221+i3−1−i31−i3−1+i31+i31−i3-1-11-111-1-11-111+i321−i321+i321−i321-1−1−i321+i32−1+i321−i32−1−i32−1+i3200000000000000000000000
χ596666666-2-2-2-20000-2-2000000-3-3-3-3-3-3-3111100001100000000000000000000000000000
χ6066666-6-6-2-2-2-2000022000000-3-3-3-3-33311110000-1-100000000000000000000000000000
χ6166-66-66-6-22-220000-22000000-3-33-33-331-11-100001-100000000000000000000000000000
χ6266-66-6-66-22-2200002-2000000-3-33-333-31-11-10000-1100000000000000000000000000000
χ63121212-4-4004-4-44000000000000-6-6-62200-222-200000000000000000000000000000000000
χ64121212-4-400-444-4000000000000-6-6-622002-2-2200000000000000000000000000000000000
χ651212-12-440044-4-4000000000000-6-662-200-2-22200000000000000000000000000000000000
χ661212-12-4400-4-444000000000000-6-662-20022-2-200000000000000000000000000000000000
χ6716-1600000000044-4-400000000-88000000000-2-2220000000000000000000000000000000
χ6816-16000000000−2+2i3−2−2i32−2i32+2i300000000-880000000001−i31+i3−1+i3−1−i30000000000000000000000000000000
χ6916-16000000000−2−2i3−2+2i32+2i32−2i300000000-880000000001+i31−i3−1−i3−1+i30000000000000000000000000000000

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