Finite Group Databasebeta

← Group #11721139

Character table — Group #11721139

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order12223446661212336666661212121236661212121212122244666612121212244466121212121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-111-1-1
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-111-1-111
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-11-11111-1-1-1-1
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-11111
χ92222222222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-10000000000002200-1-10000-1-1
χ102222222222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1000000000000-2-20011000011
χ11222222222222-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ12222222222222-12-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ1322222-2-2222-2-22-122-1-1-12-2-2-2-2-1-1-1-11111110000000000002-200-1-1000011
χ1422222-2-2222-2-22-122-1-1-12-2-2-2-2-1-1-1-1111111000000000000-2200110000-1-1
χ1522222-2-2222-2-2-12-1-1222-11111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000000000
χ1622222-2-2222-2-2-12-1-1222-11111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000000000
χ1722-2-22002-2-200222-2-2-22-2000022-2-2000000002i−2i00002i2i−2i−2i000000000000
χ1822-2-22002-2-200222-2-2-22-2000022-2-200000000−2i2i0000−2i−2i2i2i000000000000
χ1922-2-22002-2-200-12-11-2-22133−3−3-1-1110033−3−3002i−2i−i3−i3i3i3−i−iii000000000000
χ2022-2-22002-2-200-12-11-2-22133−3−3-1-1110033−3−300−2i2ii3i3−i3−i3ii−i−i000000000000
χ2122-2-22002-2-200-12-11-2-221−3−333-1-11100−3−333002i−2ii3i3−i3−i3−i−iii000000000000
χ2222-2-22002-2-200-12-11-2-221−3−333-1-11100−3−33300−2i2i−i3−i3i3i3ii−i−i000000000000
χ232-22-222i−2i-22-22i−2i22-222-2-2-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i000000000000000000000000
χ242-22-222i−2i-22-22i−2i2-1-22-111-22i−2i2i−2i-11-11−ii−ii−ii0000000000000000−i3i300003−3
χ252-22-222i−2i-22-22i−2i2-1-22-111-22i−2i2i−2i-11-11−ii−ii−ii0000000000000000i3−i30000−33
χ262-22-222i−2i-22-22i−2i-121-12-2-21−ii−ii-11-112i−2i−ii−ii0000−i3i3−i3i33−33−3000000000000
χ272-22-222i−2i-22-22i−2i-121-12-2-21−ii−ii-11-112i−2i−ii−ii0000i3−i3i3−i3−33−33000000000000
χ282-22-22−2i2i-22-2−2i2i22-222-2-2-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i000000000000000000000000
χ292-22-22−2i2i-22-2−2i2i2-1-22-111-2−2i2i−2i2i-11-11i−ii−ii−i0000000000000000−i3i30000−33
χ302-22-22−2i2i-22-2−2i2i2-1-22-111-2−2i2i−2i2i-11-11i−ii−ii−i0000000000000000i3−i300003−3
χ312-22-22−2i2i-22-2−2i2i-121-12-2-21i−ii−i-11-11−2i2ii−ii−i0000−i3i3−i3i3−33−33000000000000
χ322-22-22−2i2i-22-2−2i2i-121-12-2-21i−ii−i-11-11−2i2ii−ii−i0000i3−i3i3−i33−33−3000000000000
χ332-2-22200-2-220022-2-2-22-2200002-2-220000002-2002-2-220000000000000000
χ342-2-22200-2-220022-2-2-22-2200002-2-22000000-2200-222-20000000000000000
χ352-2-22200-2-2200-1211-22-2-1−i3i3i3−i3-111-100−i3i3i3−i32-200-111-1−i3i3i3−i3000000000000
χ362-2-22200-2-2200-1211-22-2-1−i3i3i3−i3-111-100−i3i3i3−i3-22001-1-11i3−i3−i3i3000000000000
χ372-2-22200-2-2200-1211-22-2-1i3−i3−i3i3-111-100i3−i3−i3i32-200-111-1i3−i3−i3i3000000000000
χ382-2-22200-2-2200-1211-22-2-1i3−i3−i3i3-111-100i3−i3−i3i3-22001-1-11−i3i3i3−i3000000000000
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000
χ4144-4-44004-4-4004-24-422-2-40000-2-222000000000000000000000000000000
χ4244-4-44004-4-400-2-2-2222-222323−23−2311-1-100−3−333000000000000000000000000
χ4344-4-44004-4-400-2-2-2222-22−23−23232311-1-10033−3−3000000000000000000000000
χ444-44-444i−4i-44-44i−4i-2-22-2-2222−2i2i−2i2i1-11-1−2i2ii−ii−i000000000000000000000000
χ454-44-44−4i4i-44-4−4i4i-2-22-2-22222i−2i2i−2i1-11-12i−2i−ii−ii000000000000000000000000
χ464-4-44400-4-44004-2-4-42-2240000-222-2000000000000000000000000000000
χ474-4-44400-4-4400-2-2222-22-2−2i32i32i3−2i31-1-1100i3−i3−i3i3000000000000000000000000
χ484-4-44400-4-4400-2-2222-22-22i3−2i3−2i32i31-1-1100−i3i3i3−i3000000000000000000000000
χ496666-366-3-3-3-3-30000000000000000000000000000000000002200-1-1-1-100
χ506666-366-3-3-3-3-3000000000000000000000000000000000000-2-200111100
χ516666-3-6-6-3-3-3330000000000000000000000000000000000002-200-1-11100
χ526666-3-6-6-3-3-333000000000000000000000000000000000000-220011-1-100
χ536-66-6-36i−6i3-33−3i3i0000000000000000000000000000000000000000−i3i33−300
χ546-66-6-36i−6i3-33−3i3i0000000000000000000000000000000000000000i3−i3−3300
χ556-66-6-3−6i6i3-333i−3i0000000000000000000000000000000000000000−i3i3−3300
χ566-66-6-3−6i6i3-333i−3i0000000000000000000000000000000000000000i3−i33−300
χ571212-12-12-600-666000000000000000000000000000000000000000000000000
χ5812-12-1212-60066-6000000000000000000000000000000000000000000000000

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