Finite Group Databasebeta

← Group #13161285

Character table — Group #13161285

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size112222222222222222222224444444444444444444444444446688888888888888888888888888888888888121212121212121212121212121212121224242424242424242436367272727272108108216
order1223333344666666666666633336666666666666121212121212121212128841212121212121212121212121212121212121212121212121212121212121212121282424242424242424242424242424242426666666688824242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11
χ511111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1
χ611111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1
χ922222222-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002i−2i02i−2i00000
χ1022222222-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000−2i2i0−2i2i00000
χ1122222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000
χ1222222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-211111111111122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000000
χ1322222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-2-222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111111111-2-2-21111110000000000
χ1422222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2111111111111222-1-1-1-1-1-10000000000
χ152222-12-1-122-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-12222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000000
χ162222-12-1-122-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-12222-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-2111111112-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-211110000000000
χ172222-12-1-122-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-2-2222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-21111-2-2-2-211111111-211-2-211110000000000
χ182222-12-1-122-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-2-2-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-21111-2-2-2-2111111112-1-122-1-1-1-10000000000
χ192222-1-12-122-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-12222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-10000000000
χ202222-1-12-122-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-12222-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-211112-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2110000000000
χ212222-1-12-122-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-2-2222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-211111111-2-2-2-21111-21111-2-2110000000000
χ222222-1-12-122-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-2-2-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-211111111-2-2-2-211112-1-1-1-122-1-10000000000
χ232222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1220000000000
χ242222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-122222-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-20000000000
χ252222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-2-2222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2111111111111-2-2-2-2-2111111-2-20000000000
χ262222-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-2-2-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-2111111111111-2-2-2-22-1-1-1-1-1-1220000000000
χ27222-122222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000222-1-1-1-1000
χ28222-122222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-21111000
χ29222-122222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000000000000022-2-1-111000
χ30222-122222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000-2-2211-1-1000
χ31222-12222-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211000−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000002i−2i0−ii3−3000
χ32222-12222-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211000−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000−2i2i0i−i−33000
χ33222-12222-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211000i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000002i−2i0−ii−33000
χ34222-12222-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211000i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000−2i2i0i−i3−3000
χ3522-2222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222-2-2-2-222222-222000000000002-22-22-22-20000000000000000-222-2-222-2-222-2-222-2-20000000000000000000
χ3622-2222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222-2-2-2-222222-2-2-2000000000002-22-22-22-200000000000000002-2-222-2-222-2-222-2-2220000000000000000000
χ3722-222222-22-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-220000000000000-22-22-22-2200000000000000000000000000000000000000000000000002-20
χ3822-222222-22-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-220000000000000-22-22-22-220000000000000000000000000000000000000000000000000-220
χ3922-222-1-1-12-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-22200000−i3i3−i3i3−i3i32-2-11-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-222-2-2-1-111-1-111-1-111000−i3i3−i3i3−i3i30000000000
χ4022-222-1-1-12-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-22200000i3−i3i3−i3i3−i32-2-11-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-222-2-2-1-111-1-111-1-111000i3−i3i3−i3i3−i30000000000
χ4122-222-1-1-12-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-2-2-200000−i3i3−i3i3−i3i32-2-11-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-22211-1-111-1-111-1-1000i3−i3i3−i3i3−i30000000000
χ4222-222-1-1-12-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-2-2-200000i3−i3i3−i3i3−i32-2-11-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-22211-1-111-1-111-1-1000−i3i3−i3i3−i3i30000000000
χ4322-22-12-1-12-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-222000−i3i300−i3i3i3−i3-112-2-11-11−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-2-1-11122-2-2-1-111-1-1110−i3i300−i3i3i3−i30000000000
χ4422-22-12-1-12-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-222000i3−i300i3−i3−i3i3-112-2-11-11i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-2-1-11122-2-2-1-111-1-1110i3−i300i3−i3−i3i30000000000
χ4522-22-12-1-12-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-2-2-2000−i3i300−i3i3i3−i3-112-2-11-11−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3211-1-1-2-22211-1-111-1-10i3−i300i3−i3−i3i30000000000
χ4622-22-12-1-12-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-2-2-2000i3−i300i3−i3−i3i3-112-2-11-11i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3211-1-1-2-22211-1-111-1-10−i3i300−i3i3i3−i30000000000
χ4722-22-1-12-12-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-222000−i3i3i3−i300−i3i3-11-112-2-11−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3-2-1-111-1-11122-2-2-1-1110−i3i3i3−i300−i3i30000000000
χ4822-22-1-12-12-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-222000i3−i3−i3i300i3−i3-11-112-2-11i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-2-1-111-1-11122-2-2-1-1110i3−i3−i3i300i3−i30000000000
χ4922-22-1-12-12-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-2-2-2000−i3i3i3−i300−i3i3-11-112-2-11−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3211-1-111-1-1-2-22211-1-10i3−i3−i3i300i3−i30000000000
χ5022-22-1-12-12-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-2-2-2000i3−i3−i3i300i3−i3-11-112-2-11i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3211-1-111-1-1-2-22211-1-10−i3i3i3−i300−i3i30000000000
χ5122-22-1-1-122-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-222000−i3i3−i3i3i3−i300-11-11-112-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-2-1-111-1-111-1-11122-2-20−i3i3−i3i3i3−i3000000000000
χ5222-22-1-1-122-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-222000i3−i3i3−i3−i3i300-11-11-112-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-2-1-111-1-111-1-11122-2-20i3−i3i3−i3−i3i3000000000000
χ5322-22-1-1-122-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-2-2-2000−i3i3−i3i3i3−i300-11-11-112-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000211-1-111-1-111-1-1-2-2220i3−i3i3−i3−i3i3000000000000
χ5422-22-1-1-122-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-2-2-2000i3−i3i3−i3−i3i300-11-11-112-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000211-1-111-1-111-1-1-2-2220−i3i3−i3i3i3−i3000000000000
χ5544444-2-2-2-4-444-2-2-2-2-2-244-2-2-24-2-2-2444-2-2-2-2-2-24-2-2-2-4222-4222-4-40000000000000-4-42222220000000000000000000000000000000000000000000000000000
χ564444-24-2-2-4-4-2-244-2-2-2-24-24-2-2-24-2-24-2-244-2-2-2-2-24-2-22-4222-422-4-4000000000000022-4-422220000000000000000000000000000000000000000000000000000
χ574444-2-24-2-4-4-2-2-2-244-2-24-2-24-2-2-24-24-2-2-2-244-2-2-2-24-222-4222-42-4-400000000000002222-4-4220000000000000000000000000000000000000000000000000000
χ584444-2-2-24-4-4-2-2-2-2-2-2444-2-2-24-2-2-244-2-2-2-2-2-244-2-2-24222-4222-4-4-40000000000000222222-4-40000000000000000000000000000000000000000000000000000
χ59444-24-2-2-24444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-21114-2-2-24-2-2-2-2-2004-2-244-2-2-2-2-2-2-2-2111111-2-2-2-2111111111111000000000000000000000000000000000000
χ60444-24-2-2-24444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-21114-2-2-24-2-2-2-2-200-422-4-4222222-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ61444-24-2-2-2-4-444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-2111-4222-422222000−2i32i30000000022-1-1-1-1-1-1−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ62444-24-2-2-2-4-444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-2111-4222-4222220002i3−2i30000000022-1-1-1-1-1-12i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).