Finite Group Databasebeta

← Group #13161058

Character table — Group #13161058

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size112222222222222222222224444444444444444444444444446688888888888888888888888888888888888121212121212121212121212121212121224242424242424242436367272727272108108216
order1223333344666666666666633336666666666666121212121212121212128826666666666666666666666666612121212121212128242424242424242424242424242424244121212121212121288824242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11
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
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1
χ922222222-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000002i−2i02i−2i00000
χ1022222222-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000−2i2i0−2i2i00000
χ112222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000222-1-1-1-1000
χ122222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-21111000
χ132222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000022-2-1-111000
χ142222222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-100-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-100000000000000000000000000-2-2211-1-1000
χ152222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100000000000−i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i311111111000000000000000000000000002i−2i0−ii3−3000
χ162222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100000000000−i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i31111111100000000000000000000000000−2i2i0i−i−33000
χ172222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100000000000i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i311111111000000000000000000000000002i−2i0−ii−33000
χ182222222-1-2-222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100000000000i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i31111111100000000000000000000000000−2i2i0i−i3−3000
χ192222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000
χ202222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12222-2-2-2111111-2-2-2-2111111-2-211111122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000000
χ212222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-2-2222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111111111111-2-2-21111110000000000
χ222222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-2-2111111-2-2-2-2111111-2-211111122-1-1-1-1-1-1-2-2-2-2-2111111111111222-1-1-1-1-1-10000000000
χ23222-12-1-1222-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000000
χ24222-12-1-1222-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-12222-211-2-21111-2-211-2-2111111-2-21111-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-211110000000000
χ25222-12-1-1222-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-2-22-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-21111-2-2-2-211111111-211-2-211110000000000
χ26222-12-1-1222-1-122-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-12-1-122-2-2-211-2-21111-2-211-2-2111111-2-21111-1-122-1-1-1-1-21111-2-2-2-2111111112-1-122-1-1-1-10000000000
χ27222-1-12-1222-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-10000000000
χ28222-1-12-1222-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-12222-21111-2-211-2-21111-2-2111111-2-211-1-1-1-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2110000000000
χ29222-1-12-1222-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-2-22-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-211111111-2-2-2-21111-21111-2-2110000000000
χ30222-1-12-1222-1-1-1-122-1-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-1-12-122-2-2-21111-2-211-2-21111-2-2111111-2-211-1-1-1-122-1-1-211111111-2-2-2-211112-1-1-1-122-1-10000000000
χ31222-1-1-12222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1220000000000
χ32222-1-1-12222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-122222-2111111-2-2-2-2111111-2-2111111-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-20000000000
χ33222-1-1-12222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-2-22-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2111111111111-2-2-2-2-2111111-2-20000000000
χ34222-1-1-12222-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1222-2-2-2111111-2-2-2-2111111-2-2111111-2-2-1-1-1-1-1-122-2111111111111-2-2-2-22-1-1-1-1-1-1220000000000
χ3522-2222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222-2-2-2-222222-2220000000000000000000000000002-22-22-22-2-222-2-222-2-222-2-222-2-20000000000000000000
χ3622-2222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222-2-2-2-222222-2-2-20000000000000000000000000002-22-22-22-22-2-222-2-222-2-222-2-2220000000000000000000
χ3722-222222-22-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2200000000000000000000000000000-22-22-22-220000000000000000000000000000000002-20
χ3822-222222-22-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2200000000000000000000000000000-22-22-22-22000000000000000000000000000000000-220
χ3922-22-1-1-122-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-222000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32-2-11-11-11-222-2-2-1-111-1-111-1-111000−i3i3−i3i3−i3i30000000000
χ4022-22-1-1-122-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-222000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32-2-11-11-11-222-2-2-1-111-1-111-1-111000i3−i3i3−i3i3−i30000000000
χ4122-22-1-1-122-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-2-2-2000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32-2-11-11-112-2-22211-1-111-1-111-1-1000i3−i3i3−i3i3−i30000000000
χ4222-22-1-1-122-2-2-211111122-1-1-12-1-1-1-2-2-21111112-1-1-1-21112-1-1-12-2-2-2000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32-2-11-11-112-2-22211-1-111-1-111-1-1000−i3i3−i3i3−i3i30000000000
χ4322-2-12-1-122-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-2220−i3i300−i3i3i3−i300−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3-112-2-11-11-2-1-11122-2-2-1-111-1-1110−i3i300−i3i3i3−i30000000000
χ4422-2-12-1-122-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-2220i3−i300i3−i3−i3i300i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3-112-2-11-11-2-1-11122-2-2-1-111-1-1110i3−i300i3−i3−i3i30000000000
χ4522-2-12-1-122-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-2-2-20−i3i300−i3i3i3−i300−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3-112-2-11-11211-1-1-2-22211-1-111-1-10i3−i300i3−i3−i3i30000000000
χ4622-2-12-1-122-211-2-211112-12-1-1-12-1-1-211-2-21111-12-1-11-211-12-1-12-2-2-20i3−i300i3−i3−i3i300i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3-112-2-11-11211-1-1-2-22211-1-111-1-10−i3i300−i3i3i3−i30000000000
χ4722-2-1-12-122-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-2220−i3i3i3−i300−i3i300−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3-11-112-2-11-2-1-111-1-11122-2-2-1-1110−i3i3i3−i300−i3i30000000000
χ4822-2-1-12-122-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-2220i3−i3−i3i300i3−i300i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3-11-112-2-11-2-1-111-1-11122-2-2-1-1110i3−i3−i3i300i3−i30000000000
χ4922-2-1-12-122-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-2-2-20−i3i3i3−i300−i3i300−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3-11-112-2-11211-1-111-1-1-2-22211-1-10i3−i3−i3i300i3−i30000000000
χ5022-2-1-12-122-21111-2-2112-1-12-1-1-12-1-21111-2-211-1-12-111-21-1-12-12-2-2-20i3−i3−i3i300i3−i300i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3-11-112-2-11211-1-111-1-1-2-22211-1-10−i3i3i3−i300−i3i30000000000
χ5122-2-1-1-1222-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-2220−i3i3−i3i3i3−i30000−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300-11-11-112-2-2-1-111-1-111-1-11122-2-20−i3i3−i3i3i3−i3000000000000
χ5222-2-1-1-1222-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-2220i3−i3i3−i3−i3i30000i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-11-11-112-2-2-1-111-1-111-1-11122-2-20i3−i3i3−i3−i3i3000000000000
χ5322-2-1-1-1222-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-2-2-20−i3i3−i3i3i3−i30000−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300-11-11-112-2211-1-111-1-111-1-1-2-2220i3−i3i3−i3−i3i3000000000000
χ5422-2-1-1-1222-2111111-2-22-1-1-12-1-1-12-2111111-2-2-1-1-12111-2-1-1-122-2-2-20i3−i3i3−i3−i3i30000i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-11-11-112-2211-1-111-1-111-1-1-2-2220−i3i3−i3i3i3−i3000000000000
χ554444-2-2-24-4-444-2-2-2-2-2-244-2-2-24-2-2-2444-2-2-2-2-2-24-2-2-2-4222-4222-4-400000000000000000000000000000-4-4222222000000000000000000000000000000000000
χ564444-2-2-2-24444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-21114-2-2-24-2-2-2-2-200444-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000
χ574444-2-2-2-24444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-21114-2-2-24-2-2-2-2-200-4-4-42222222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111000000000000000000000000000000000000
χ584444-2-2-2-2-4-444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-2111-4222-42222200000000000−2i32i3−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i322-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-2-2-2-2-4-444-2-2-2-2-2-2-24-2-2-2-2111-2-2-2111111-2111-4222-422222000000000002i3−2i32i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i322-1-1-1-1-1-1000000000000000000000000000000000000
χ60444-24-2-24-4-4-2-244-2-2-2-24-24-2-2-24-2-24-2-244-2-2-2-2-24-2-22-4222-422-4-40000000000000000000000000000022-4-42222000000000000000000000000000000000000
χ61444-24-2-2-244-2-244-2-2-2-2-2-24-2-21-211-211-2-211111-211-24-2-2-24-2-2-2-2004-2-244-2-2-2-2-2-211-2-2111111-2-2111111-2-21111000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).