Finite Group Databasebeta

← Group #11792356

Character table — Group #11792356

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112222222222244444488888888888888888824242424242424241122222222222444444888888888888888888242424242424242411222222222224444448888888888888888882424242424242424
order12222344446121266612121224446688121212121212242424242444448836666312121212612126661212126121212662424121212121212242424246121212121224243666631212121261212666121212612121266242412121212121224242424612121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ9222222-2-2-2-22-2-2222-2-2-200000000000000000000002-200222222-2-2-2-22-2-2222-2-2-200000000000000000000002-200222222-2-2-2-22-2-2222-2-2-200000000000000000000002-200
χ10222222-2-2-2-22-2-2222-2-2-20000000000000000000000-2200222222-2-2-2-22-2-2222-2-2-20000000000000000000000-2200222222-2-2-2-22-2-2222-2-2-20000000000000000000000-2200
χ1122222-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-1111111110000000022222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-1111111110000000022222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-11111111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-111110000000022222-12222-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-111110000000022222-12222-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-1111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-100000000
χ15222-2-2222-2-22-2-22-2-222-2002i−2i0000002i2i−2i−2i000000000000222-2-2222-2-22-2-22-2-222-2002i−2i0000002i2i−2i−2i000000000000222-2-2222-2-22-2-22-2-222-2002i−2i0000002i2i−2i−2i000000000000
χ16222-2-2222-2-22-2-22-2-222-200−2i2i000000−2i−2i2i2i000000000000222-2-2222-2-22-2-22-2-222-200−2i2i000000−2i−2i2i2i000000000000222-2-2222-2-22-2-22-2-222-200−2i2i000000−2i−2i2i2i000000000000
χ17222-2-22-2-2222222-2-2-2-220000000000000000002-2000000222-2-22-2-2222222-2-2-2-220000000000000000002-2000000222-2-22-2-2222222-2-2-2-220000000000000000002-2000000
χ18222-2-22-2-2222222-2-2-2-22000000000000000000-22000000222-2-22-2-2222222-2-2-2-22000000000000000000-22000000222-2-22-2-2222222-2-2-2-22000000000000000000-22000000
χ19222-2-2-122-2-2-111-111-1-11002i−2i−i3i300−i3i3−i−iii33−3−300000000222-2-2-122-2-2-111-111-1-11002i−2i−i3i300−i3i3−i−iii33−3−300000000222-2-2-122-2-2-111-111-1-11002i−2i−i3i300−i3i3−i−iii33−3−300000000
χ20222-2-2-122-2-2-111-111-1-11002i−2ii3−i300i3−i3−i−iii−3−33300000000222-2-2-122-2-2-111-111-1-11002i−2ii3−i300i3−i3−i−iii−3−33300000000222-2-2-122-2-2-111-111-1-11002i−2ii3−i300i3−i3−i−iii−3−33300000000
χ21222-2-2-122-2-2-111-111-1-1100−2i2i−i3i300−i3i3ii−i−i−3−33300000000222-2-2-122-2-2-111-111-1-1100−2i2i−i3i300−i3i3ii−i−i−3−33300000000222-2-2-122-2-2-111-111-1-1100−2i2i−i3i300−i3i3ii−i−i−3−33300000000
χ22222-2-2-122-2-2-111-111-1-1100−2i2ii3−i300i3−i3ii−i−i33−3−300000000222-2-2-122-2-2-111-111-1-1100−2i2ii3−i300i3−i3ii−i−i33−3−300000000222-2-2-122-2-2-111-111-1-1100−2i2ii3−i300i3−i3ii−i−i33−3−300000000
χ2322-22-222-22-2222-2-222-2-20000002-20000002-22-20000000022-22-222-22-2222-2-222-2-20000002-20000002-22-20000000022-22-222-22-2222-2-222-2-20000002-20000002-22-200000000
χ2422-22-222-22-2222-2-222-2-2000000-22000000-22-220000000022-22-222-22-2222-2-222-2-2000000-22000000-22-220000000022-22-222-22-2222-2-222-2-2000000-22000000-22-2200000000
χ2522-22-22-22-222-2-2-2-22-2220000000000000000000000002-222-22-22-22-222-2-2-2-22-2220000000000000000000000002-222-22-22-22-222-2-2-2-22-2220000000000000000000000002-2
χ2622-22-22-22-222-2-2-2-22-222000000000000000000000000-2222-22-22-22-222-2-2-2-22-222000000000000000000000000-2222-22-22-22-222-2-2-2-22-222000000000000000000000000-22
χ2722-22-2-12-22-2-1-1-111-1-1110000−i3i32-2i3−i3−i3i3−i3i3-11-110000000022-22-2-12-22-2-1-1-111-1-1110000−i3i32-2i3−i3−i3i3−i3i3-11-110000000022-22-2-12-22-2-1-1-111-1-1110000−i3i32-2i3−i3−i3i3−i3i3-11-1100000000
χ2822-22-2-12-22-2-1-1-111-1-1110000−i3i3-22i3−i3i3−i3i3−i31-11-10000000022-22-2-12-22-2-1-1-111-1-1110000−i3i3-22i3−i3i3−i3i3−i31-11-10000000022-22-2-12-22-2-1-1-111-1-1110000−i3i3-22i3−i3i3−i3i3−i31-11-100000000
χ2922-22-2-12-22-2-1-1-111-1-1110000i3−i32-2−i3i3i3−i3i3−i3-11-110000000022-22-2-12-22-2-1-1-111-1-1110000i3−i32-2−i3i3i3−i3i3−i3-11-110000000022-22-2-12-22-2-1-1-111-1-1110000i3−i32-2−i3i3i3−i3i3−i3-11-1100000000
χ3022-22-2-12-22-2-1-1-111-1-1110000i3−i3-22−i3i3−i3i3−i3i31-11-10000000022-22-2-12-22-2-1-1-111-1-1110000i3−i3-22−i3i3−i3i3−i3i31-11-10000000022-22-2-12-22-2-1-1-111-1-1110000i3−i3-22−i3i3−i3i3−i3i31-11-100000000
χ3122-2-2222-2-222-2-2-22-22-222-2002200-2-2000000000000000022-2-2222-2-222-2-2-22-22-222-2002200-2-2000000000000000022-2-2222-2-222-2-2-22-22-222-2002200-2-20000000000000000
χ3222-2-2222-2-222-2-2-22-22-22-2200-2-20022000000000000000022-2-2222-2-222-2-2-22-22-22-2200-2-20022000000000000000022-2-2222-2-222-2-2-22-22-22-2200-2-200220000000000000000
χ3322-2-222-222-2222-22-2-22-2000000000000000000002-2000022-2-222-222-2222-22-2-22-2000000000000000000002-2000022-2-222-222-2222-22-2-22-2000000000000000000002-20000
χ3422-2-222-222-2222-22-2-22-200000000000000000000-22000022-2-222-222-2222-22-2-22-200000000000000000000-22000022-2-222-222-2222-22-2-22-200000000000000000000-220000
χ3522-2-22-12-2-22-1111-11-11-12-200-1-100113−3−333−3−330000000022-2-22-12-2-22-1111-11-11-12-200-1-100113−3−333−3−330000000022-2-22-12-2-22-1111-11-11-12-200-1-100113−3−333−3−3300000000
χ3622-2-22-12-2-22-1111-11-11-12-200-1-10011−333−3−333−30000000022-2-22-12-2-22-1111-11-11-12-200-1-10011−333−3−333−30000000022-2-22-12-2-22-1111-11-11-12-200-1-10011−333−3−333−300000000
χ3722-2-22-12-2-22-1111-11-11-1-22001100-1-13−3−33−333−30000000022-2-22-12-2-22-1111-11-11-1-22001100-1-13−3−33−333−30000000022-2-22-12-2-22-1111-11-11-1-22001100-1-13−3−33−333−300000000
χ3822-2-22-12-2-22-1111-11-11-1-22001100-1-1−333−33−3−330000000022-2-22-12-2-22-1111-11-11-1-22001100-1-1−333−33−3−330000000022-2-22-12-2-22-1111-11-11-1-22001100-1-1−333−33−3−3300000000
χ3944444-2-4-4-4-4-222-2-2-22220000000000000000000000000044444-2-4-4-4-4-222-2-2-22220000000000000000000000000044444-2-4-4-4-4-222-2-2-222200000000000000000000000000
χ40444-4-4-2-4-444-2-2-2-22222-200000000000000000000000000444-4-4-2-4-444-2-2-2-22222-200000000000000000000000000444-4-4-2-4-444-2-2-2-22222-200000000000000000000000000
χ4144-44-4-2-44-44-22222-22-2-20000000000000000000000000044-44-4-2-44-44-22222-22-2-20000000000000000000000000044-44-4-2-44-44-22222-22-2-200000000000000000000000000
χ4244-4-44-2-444-4-2-2-22-222-220000000000000000000000000044-4-44-2-444-4-2-2-22-222-220000000000000000000000000044-4-44-2-444-4-2-2-22-222-2200000000000000000000000000
χ438-800080000-800000000000000000000000000000000008-800080000-800000000000000000000000000000000008-800080000-80000000000000000000000000000000000
χ448-8000-40000443−43000000000000000000000000000000008-8000-40000443−43000000000000000000000000000000008-8000-40000443−4300000000000000000000000000000000
χ458-8000-400004−4343000000000000000000000000000000008-8000-400004−4343000000000000000000000000000000008-8000-400004−434300000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ48111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ49111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ501111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ521111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ13144-44-4-2-44-44-22222-22-2-200000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i32+2i3−2−2i32+2i3−2−2i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i300000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i32−2i3−2+2i32−2i3−2+2i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i300000000000000000000000000
χ13244-4-44-2-444-4-2-2-22-222-2200000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i300000000000000000000000000
χ1338-800080000-80000000000000000000000000000000000−4−4i34+4i3000−4−4i300004+4i30000000000000000000000000000000000−4+4i34−4i3000−4+4i300004−4i30000000000000000000000000000000000
χ1348-8000-40000443−4300000000000000000000000000000000−4−4i34+4i30002+2i30000−2−2i38ζ7+4ζ11−8ζ7−4ζ1100000000000000000000000000000000−4+4i34−4i30002−2i30000−2+2i3−4ζ7−8ζ114ζ7+8ζ1100000000000000000000000000000000
χ1358-8000-400004−434300000000000000000000000000000000−4−4i34+4i30002+2i30000−2−2i3−8ζ7−4ζ118ζ7+4ζ1100000000000000000000000000000000−4+4i34−4i30002−2i30000−2+2i34ζ7+8ζ11−4ζ7−8ζ1100000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.