Finite Group Databasebeta

← Group #72254075

Character table — Group #72254075

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size12224444466991212121212121212121212121212121212181818181818272736363636363636363636545481818181818181162162162162162162162162162
order133333333393333339999999999999333399223399999999662666666666666181818
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-111111111111-1-111-1-1-1-1-1111-1-1-1-1-1
χ3111111111111111111111111111111111111-111111111111-11-1-1-111-1-1-1-1-1-1-1-1111
χ4111111111111111111111111111111111111-1-11111111111-1-11-1-1-1-1111-1-1-111-1-1-1
χ511111111111−1+i32−1−i3211111111111111111−1+i32−1+i32−1−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−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ611111111111−1+i32−1−i3211111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32-11−1+i32−1−i321−i321+i32-11−i321+i32
χ711111111111−1+i32−1−i3211111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i32-1-11−i321+i321−i321+i321−1+i32−1−i32
χ811111111111−1+i32−1−i3211111111111111111−1+i32−1+i32−1−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−i32-1-111−i321+i321−i321+i32−1+i32−1−i321-11−i321+i32−1+i32−1−i32-11−i321+i32
χ911111111111−1−i32−1+i3211111111111111111−1−i32−1−i32−1+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+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ1011111111111−1−i32−1+i3211111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32-11−1−i32−1+i321+i321−i32-11+i321−i32
χ1111111111111−1−i32−1+i3211111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i32-1-11+i321−i321+i321−i321−1−i32−1+i32
χ1211111111111−1−i32−1+i3211111111111111111−1−i32−1−i32−1+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+i32-1-111+i321−i321+i321−i32−1−i32−1+i321-11+i321−i32−1−i32−1+i32-11+i321−i32
χ132222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-10222-1-1-1-1-1-1-1-1020002200000000-1-1-1
χ142222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-10-222-1-1-1-1-1-1-1-10-2000-2-200000000111
χ152222222222-1−1+i3−1−i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321+i3202−1+i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i3202000−1+i3−1−i300000000-11−i321+i32
χ162222222222-1−1+i3−1−i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321+i320-2−1+i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i320-20001−i31+i3000000001−1+i32−1−i32
χ172222222222-1−1−i3−1+i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321−i3202−1−i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i3202000−1−i3−1+i300000000-11+i321−i32
χ182222222222-1−1−i3−1+i32222-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321−i320-2−1−i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i320-20001+i31−i3000000001−1−i32−1+i32
χ19222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-12-12-12220-1-12-1-1-12-1-1-12002200000-1-1-100000
χ20222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-12-12-122-20-1-12-1-1-12-1-1-1-200-2-20000011100000
χ21222222222-12−1+i3−1−i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1+i31−i32−1−i31+i32−1+i3−1−i3201−i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32200−1+i3−1−i300000-11−i321+i3200000
χ22222222222-12−1+i3−1−i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1+i31−i32−1−i31+i32−1+i3−1−i3-201−i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32-2001−i31+i3000001−1+i32−1−i3200000
χ23222222222-12−1−i3−1+i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1−i31+i32−1+i31−i32−1−i3−1+i3201+i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32200−1−i3−1+i300000-11+i321−i3200000
χ24222222222-12−1−i3−1+i3-1-1-1-12222-1-1-1-1-1-1-1-1-1−1−i31+i32−1+i31−i32−1−i3−1+i3-201+i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32-2001+i31−i3000001−1−i32−1+i3200000
χ2522-122-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-12-122200-1-1-12-1-1-12-1-1002000022-1000-1-1000
χ2622-122-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-12-122200-1-1-12-1-1-12-1-100-20000-2-2100011000
χ2722-122-1-1-1-122−1+i3−1−i32-1-1-12-1-1-1222-1-1-1-1-1-11−i32−1+i31+i32−1−i3−1+i3−1−i3001−i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i320020000−1+i3−1−i3-10001−i321+i32000
χ2822-122-1-1-1-122−1+i3−1−i32-1-1-12-1-1-1222-1-1-1-1-1-11−i32−1+i31+i32−1−i3−1+i3−1−i3001−i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i3200-200001−i31+i31000−1+i32−1−i32000
χ2922-122-1-1-1-122−1−i3−1+i32-1-1-12-1-1-1222-1-1-1-1-1-11+i32−1−i31−i32−1+i3−1−i3−1+i3001+i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i320020000−1−i3−1+i3-10001+i321−i32000
χ3022-122-1-1-1-122−1−i3−1+i32-1-1-12-1-1-1222-1-1-1-1-1-11+i32−1−i31−i32−1+i3−1−i3−1+i3001+i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i3200-200001+i31−i31000−1−i32−1+i32000
χ31444444444-2-244-2-2-2-2-2-2-2-21111111114-24-2-2-200-2-2-2111-2111000000000000000000
χ32444444444-2-2−2+2i3−2−2i3-2-2-2-2-2-2-2-2111111111−2+2i31−i3−2−2i31+i31−i31+i3001−i31+i31−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000000000000000
χ33444444444-2-2−2−2i3−2+2i3-2-2-2-2-2-2-2-2111111111−2−2i31+i3−2+2i31−i31+i31−i3001+i31−i31+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000000000000000
χ3444-244-2-2-2-24-2444-2-2-2-2111-2-2-2111111-24-24-2-200-2-21-2111-211000000000000000000
χ3544-244-2-2-2-24-2−2+2i3−2−2i34-2-2-2-2111-2-2-21111111−i3−2+2i31+i3−2−2i31−i31+i3001−i31+i3−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32000000000000000000
χ3644-244-2-2-2-24-2−2−2i3−2+2i34-2-2-2-2111-2-2-21111111+i3−2−2i31−i3−2+2i31+i31−i3001+i31−i3−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32000000000000000000
χ3744-244-2-2-2-2-2444-21114-2-2-2-2-2-2111111-2-2-2-2440011-2-211-2-211000000000000000000
χ3844-244-2-2-2-2-24−2+2i3−2−2i3-21114-2-2-2-2-2-21111111−i31−i31+i31+i3−2+2i3−2−2i300−1+i32−1−i321−i31−i3−1+i32−1+i321+i31+i3−1−i32−1−i32000000000000000000
χ3944-244-2-2-2-2-24−2−2i3−2+2i3-21114-2-2-2-2-2-21111111+i31+i31−i31−i3−2−2i3−2+2i300−1−i32−1+i321+i31+i3−1−i32−1−i321−i31−i3−1+i32−1+i32000000000000000000
χ4044-244-2-2-2-2-2-244-2111-2111111−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i32-2-2-2-2-2-2001111−1+3i32−1−3i3211−1+3i32−1−3i32000000000000000000
χ4144-244-2-2-2-2-2-244-2111-2111111−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i32-2-2-2-2-2-2001111−1−3i32−1+3i3211−1−3i32−1+3i32000000000000000000
χ4244-244-2-2-2-2-2-2−2+2i3−2−2i3-2111-2111111−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i321−i31−i31+i31+i31−i31+i300−1+i32−1−i32−1+i32−1+i32−2−i35+i32−1−i32−1−i325−i32−2+i3000000000000000000
χ4344-244-2-2-2-2-2-2−2+2i3−2−2i3-2111-2111111−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i321−i31−i31+i31+i31−i31+i300−1+i32−1−i32−1+i32−1+i325+i32−2−i3−1−i32−1−i32−2+i35−i32000000000000000000
χ4444-244-2-2-2-2-2-2−2−2i3−2+2i3-2111-2111111−1+3i32−1+3i32−1+3i32−1−3i32−1−3i32−1−3i321+i31+i31−i31−i31+i31−i300−1−i32−1+i32−1−i32−1−i325−i32−2+i3−1+i32−1+i32−2−i35+i32000000000000000000
χ4544-244-2-2-2-2-2-2−2−2i3−2+2i3-2111-2111111−1−3i32−1−3i32−1−3i32−1+3i32−1+3i32−1+3i321+i31+i31−i31−i31+i31−i300−1−i32−1+i32−1−i32−1−i32−2+i35−i32−1+i32−1+i325+i32−2−i3000000000000000000
χ46666-3-36-3-3-36000-36-3-300000000000000000000600000000000-30000000000000000
χ47666-3-36-3-3-36000-36-3-300000000000000000000-60000000000030000000000000000
χ486-366-3-36-3-306000000-36-3-3000000000000000600000000000-300000000000000000
χ496-366-3-36-3-306000000-36-3-3000000000000000-600000000000300000000000000000
χ50121212-6-612-6-6-6-60003-6330000000000000000000000000000000000000000000000000
χ511212-6-6-6-633312000-6-6330000000000000000000000000000000000000000000000000
χ521212-6-6-6-6333-600033−3+9i32−3−9i320000000000000000000000000000000000000000000000000
χ531212-6-6-6-6333-600033−3−9i32−3+9i320000000000000000000000000000000000000000000000000
χ5412-61212-6-612-6-60-60000003-633000000000000000000000000000000000000000000000
χ5512-612-63-6-6330000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000
χ5612-612-63-6-6330000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000
χ5712-612-63-6-6330000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000
χ5812-6-612-63-633012000000-6-633000000000000000000000000000000000000000000000
χ5912-6-612-63-6330-600000033−3+9i32−3−9i32000000000000000000000000000000000000000000000
χ6012-6-612-63-6330-600000033−3−9i32−3+9i32000000000000000000000000000000000000000000000
χ6112-6-6-6333−3+9i32−3−9i320000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ5+3ζ73ζ4+3ζ83ζ+3ζ2000000000000000000000000000000000000
χ6212-6-6-6333−3+9i32−3−9i320000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ4+3ζ83ζ+3ζ23ζ5+3ζ7000000000000000000000000000000000000
χ6312-6-6-6333−3+9i32−3−9i320000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ+3ζ23ζ5+3ζ73ζ4+3ζ8000000000000000000000000000000000000
χ6412-6-6-6333−3−9i32−3+9i320000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ8000000000000000000000000000000000000
χ6512-6-6-6333−3−9i32−3+9i320000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ4000000000000000000000000000000000000
χ6612-6-6-6333−3−9i32−3+9i320000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ5000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.